%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO507+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:21:11 PM UTC 2026
% Result : Theorem 134.37s 42.14s
% Output : CNFRefutation 236.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 132
% Syntax : Number of formulae : 11687 ( 454 unt; 0 def)
% Number of atoms : 57233 (15400 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 73182 (27636 ~;45487 |; 59 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 10 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-8 aty)
% Number of functors : 23 ( 23 usr; 8 con; 0-6 aty)
% Number of variables : 57786 ( 0 sgn57782 !; 4 ?;56564 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : s_e(X0,X1,X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO011+0.ax',aA1) ).
fof(f2,axiom,
! [X0,X1,X2,X3,X4,X5] :
( s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO011+0.ax',aA2) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( s_e(X1,ext(X0,X1,X2,X3),X2,X3)
& s_t(X0,X1,ext(X0,X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO011+0.ax',aA4) ).
fof(f5,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( s_e(X4,X6,X5,X7)
| X0 = X1
| ~ s_t(X2,X3,X5)
| ~ s_t(X0,X1,X4)
| ~ s_e(X1,X6,X3,X7)
| ~ s_e(X0,X6,X2,X7)
| ~ s_e(X1,X4,X3,X5)
| ~ s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO011+0.ax',aA5) ).
fof(f6,axiom,
! [X0,X1] :
( X0 = X1
| ~ s_t(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO011+0.ax',aA6) ).
fof(f7,axiom,
! [X0,X1,X2,X3,X4] :
( ( s_t(X4,ip(X0,X1,X2,X3,X4),X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) )
& ( s_t(X1,ip(X0,X1,X2,X3,X4),X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO011+0.ax',aA7) ).
fof(f8,axiom,
( ~ s_t(gamma,alpha,beta)
& ~ s_t(beta,gamma,alpha)
& ~ s_t(alpha,beta,gamma) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO011+0.ax',aA8) ).
fof(f9,axiom,
! [X0,X1] : s_e(X0,X1,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_1) ).
fof(f10,axiom,
! [X0,X1,X2,X3] :
( s_e(X2,X3,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_2) ).
fof(f11,axiom,
! [X0,X1,X2,X3,X4,X5] :
( s_e(X0,X1,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_3) ).
fof(f12,axiom,
! [X0,X1,X2,X3] :
( s_e(X1,X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_4) ).
fof(f13,axiom,
! [X0,X1,X2,X3] :
( s_e(X0,X1,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_5) ).
fof(f14,axiom,
! [X0,X1] : s_e(X0,X0,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_8) ).
fof(f15,axiom,
! [X0,X1,X2,X3,X4,X5] :
( s_e(X0,X2,X3,X5)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X0,X1,X3,X4)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_11) ).
fof(f16,axiom,
! [X0,X1,X2,X3,X4] :
( X2 = ext(X0,X1,X3,X4)
| ~ s_e(X1,X2,X3,X4)
| ~ s_t(X0,X1,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_12) ).
fof(f17,axiom,
! [X0,X1,X2] :
( X0 = X1
| ~ s_e(X0,X1,X2,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_13) ).
fof(f18,axiom,
! [X0,X1,X2,X3] :
( s_e(X1,X0,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_14) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5] :
( s_e(X0,X2,X3,X5)
| ~ s_e(X1,X2,X3,X4)
| ~ s_e(X0,X1,X4,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz2_15) ).
fof(f20,axiom,
! [X0,X1] : s_t(X0,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_1) ).
fof(f21,axiom,
! [X0,X1,X2] :
( s_t(X2,X1,X0)
| ~ s_t(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_2) ).
fof(f22,axiom,
! [X0,X1] : s_t(X0,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_3) ).
fof(f23,axiom,
! [X0,X1,X2] :
( X0 = X1
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_4) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( s_t(X0,X1,X3)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_5a) ).
fof(f25,axiom,
! [X0,X1,X2,X3] :
( s_t(X1,X2,X3)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_6a) ).
fof(f26,axiom,
! [X0,X1,X2,X3] :
( s_t(X0,X2,X3)
| X1 = X2
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_7a) ).
fof(f27,axiom,
! [X0,X1,X2,X3] :
( s_t(X0,X3,X2)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_5b) ).
fof(f28,axiom,
! [X0,X1,X2,X3] :
( s_t(X0,X1,X3)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_6b) ).
fof(f29,axiom,
! [X0,X1,X2,X3] :
( s_t(X0,X1,X3)
| X1 = X2
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_7b) ).
fof(f30,axiom,
alpha != beta,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_13a) ).
fof(f31,axiom,
beta != gamma,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_13b) ).
fof(f32,axiom,
alpha != gamma,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_13c) ).
fof(f34,axiom,
! [X0,X1] : X0 != ext(X1,X0,alpha,gamma),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_14b) ).
fof(f35,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),X4)
| ~ s_t(X0,X5,X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) )
& ( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_17) ).
fof(f36,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( s_e(X1,X3,X5,X7)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_2) ).
fof(f37,axiom,
! [X0,X1,X2,X3,X4,X5] :
( s_e(X0,X1,X3,X4)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X0,X2,X3,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_3) ).
fof(f38,axiom,
! [X0,X1,X2,X3,X4] :
( ( s_e3(X0,X1,X2,X3,insert(X0,X1,X3,X4),X4)
| ~ s_e(X0,X2,X3,X4)
| ~ s_t(X0,X1,X2) )
& ( s_t(X3,insert(X0,X1,X3,X4),X4)
| ~ s_e(X0,X2,X3,X4)
| ~ s_t(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_5) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( s_t(X3,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5)
| ~ s_t(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_6) ).
fof(f40,axiom,
! [X0,X1,X2] :
( s_col(X1,X2,X0)
| ~ s_col(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11a) ).
fof(f41,axiom,
! [X0,X1,X2] :
( s_col(X2,X0,X1)
| ~ s_col(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11b) ).
fof(f42,axiom,
! [X0,X1,X2] :
( s_col(X2,X1,X0)
| ~ s_col(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11c) ).
fof(f43,axiom,
! [X0,X1,X2] :
( s_col(X1,X0,X2)
| ~ s_col(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11d) ).
fof(f44,axiom,
! [X0,X1,X2] :
( s_col(X0,X2,X1)
| ~ s_col(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_11e) ).
fof(f45,axiom,
! [X0,X1] : s_col(X0,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_12) ).
fof(f46,axiom,
! [X0,X1] : s_col(X0,X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_12b) ).
fof(f47,axiom,
! [X0,X1,X2,X3,X4,X5] :
( s_col(X3,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5)
| ~ s_col(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_13) ).
fof(f48,axiom,
! [X0,X1,X2,X3,X4] :
( s_e3(X0,X1,X2,X3,X4,insert5(X0,X1,X2,X3,X4))
| ~ s_e(X0,X1,X3,X4)
| ~ s_col(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_14) ).
fof(f49,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( s_e(X2,X3,X6,X7)
| X0 = X1
| ~ s_fs(X0,X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_16) ).
fof(f50,axiom,
! [X0,X1,X2,X3,X4] :
( s_e(X2,X3,X2,X4)
| ~ s_e(X1,X3,X1,X4)
| ~ s_e(X0,X3,X0,X4)
| ~ s_col(X0,X1,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_17) ).
fof(f51,axiom,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ s_e(X1,X2,X1,X3)
| ~ s_e(X0,X2,X0,X3)
| ~ s_col(X0,X1,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_18) ).
fof(f52,axiom,
! [X0,X1,X2,X3] :
( X1 = X3
| ~ s_e(X2,X1,X2,X3)
| ~ s_e(X0,X1,X0,X3)
| ~ s_t(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz4_19) ).
fof(f53,axiom,
! [X0,X1,X2,X3] :
( s_t(X0,X3,X2)
| s_t(X0,X2,X3)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_1) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( s_t(X1,X3,X2)
| s_t(X1,X2,X3)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_2) ).
fof(f55,axiom,
! [X0,X1,X2,X3] :
( s_t(X0,X3,X1)
| s_t(X0,X1,X3)
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_3) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( ins(X2,X3,X0,X1) = ext(X0,X1,insert(X0,X1,X2,X3),X3)
| ~ le(X0,X1,X2,X3) )
& ( s_e(X0,ins(X2,X3,X0,X1),X2,X3)
| ~ le(X0,X1,X2,X3) )
& ( s_t(X0,X1,ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_5a) ).
fof(f57,axiom,
! [X0,X1,X2,X3,X4] :
( ~ s_e(X0,X4,X2,X3)
| ~ s_t(X0,X1,X4)
| le(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_5b) ).
fof(f58,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( le(X4,X5,X6,X7)
| ~ s_e(X2,X3,X6,X7)
| ~ s_e(X0,X1,X4,X5)
| ~ le(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_6) ).
fof(f59,axiom,
! [X0,X1] : le(X0,X1,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_7) ).
fof(f60,axiom,
! [X0,X1,X2,X3,X4,X5] :
( le(X0,X1,X4,X5)
| ~ le(X2,X3,X4,X5)
| ~ le(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_8) ).
fof(f61,axiom,
! [X0,X1,X2,X3] :
( s_e(X0,X1,X2,X3)
| ~ le(X2,X3,X0,X1)
| ~ le(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_9) ).
fof(f62,axiom,
! [X0,X1,X2,X3] :
( le(X2,X3,X0,X1)
| le(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_10) ).
fof(f63,axiom,
! [X0,X1,X2] : le(X0,X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_11) ).
fof(f64,axiom,
! [X0,X1,X2] :
( le(X0,X1,X0,X2)
| ~ s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_12a1) ).
fof(f65,axiom,
! [X0,X1,X2] :
( le(X1,X2,X0,X2)
| ~ s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_12a2) ).
fof(f66,axiom,
! [X0,X1,X2] :
( X2 = X1
| ~ s_e(X0,X2,X0,X1)
| ~ s_t(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aNarbouxLemma1) ).
fof(f67,axiom,
! [X0,X1,X2] :
( ~ le(X1,X2,X0,X2)
| ~ le(X0,X1,X0,X2)
| s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_12b) ).
fof(f69,axiom,
! [X0,X1,X2,X3] :
( ~ sameside(X0,X1,X2)
| s_t(X2,X1,X3)
| ~ s_t(X0,X1,X3)
| X3 = X1
| X2 = X1
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_2b) ).
fof(f70,axiom,
! [X0,X1,X2] :
( ( s_t(X2,X1,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) )
& ( s_t(X0,X1,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) )
& ( c63(X0,X1,X2) != X1
| ~ sameside(X0,X1,X2) )
& ( X2 != X1
| ~ sameside(X0,X1,X2) )
& ( X0 != X1
| ~ sameside(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_3a) ).
fof(f71,axiom,
! [X0,X1,X2,X3] :
( ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,X3)
| X3 = X1
| X2 = X1
| X0 = X1
| sameside(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_3b) ).
fof(f72,axiom,
! [X0,X1,X2] :
( ( ~ s_t(X0,X1,X2)
| ~ sameside(X0,X1,X2) )
& ( s_col(X0,X1,X2)
| ~ sameside(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_4a) ).
fof(f73,axiom,
! [X0,X1,X2] :
( s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2)
| sameside(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_4b) ).
fof(f74,axiom,
! [X0,X1] :
( sameside(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_5) ).
fof(f75,axiom,
! [X0,X1,X2] :
( sameside(X2,X1,X0)
| ~ sameside(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_6) ).
fof(f76,axiom,
! [X0,X1,X2,X3] :
( sameside(X0,X1,X3)
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_7) ).
fof(f77,axiom,
! [X0,X1,X2,X3] :
( ( s_e(X1,insert(X2,X3,X1,X0),X2,X3)
| X2 = X3
| X0 = X1 )
& ( sameside(insert(X2,X3,X1,X0),X1,X0)
| X2 = X3
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_11a) ).
fof(f78,axiom,
! [X0,X1,X2,X3,X4,X5] :
( X4 = X5
| ~ s_e(X1,X5,X2,X3)
| ~ sameside(X5,X1,X0)
| ~ s_e(X1,X4,X2,X3)
| ~ sameside(X4,X1,X0)
| X2 = X3
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_11b) ).
fof(f79,axiom,
! [X0,X1,X2] :
( s_t(X1,X0,X2)
| ~ le(X1,X0,X1,X2)
| ~ sameside(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_13a) ).
fof(f80,axiom,
! [X0,X1,X2] :
( ~ s_t(X1,X0,X2)
| le(X1,X0,X1,X2)
| ~ sameside(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_13b) ).
fof(f81,axiom,
! [X0,X1,X2,X3] :
( sameside(X3,X0,X2)
| sameside(X3,X0,X1)
| X3 = X0
| ~ s_col(X3,X0,X1)
| ~ s_t(X1,X0,X2)
| X0 = X2
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_15a) ).
fof(f83,axiom,
! [X0,X1,X2,X3] :
( s_col(X3,X0,X1)
| ~ sameside(X3,X0,X2)
| ~ s_t(X1,X0,X2)
| X0 = X2
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_15c) ).
fof(f85,axiom,
! [X0,X1,X2,X3] :
( s_t(X2,X3,X1)
| s_t(X3,X2,X1)
| ~ s_t(X3,X0,X1)
| ~ s_t(X2,X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_16a) ).
fof(f86,axiom,
! [X0,X1,X2,X3] :
( s_col(X0,X2,X3)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2)
| X2 = X0
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_16b) ).
fof(f89,axiom,
! [X0,X1,X2,X3,X4] :
( s_col(X0,X1,X4)
| ~ s_col(X2,X3,X4)
| ~ s_col(X2,X3,X1)
| ~ s_col(X2,X3,X0)
| X2 = X3
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_18) ).
fof(f90,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( s_col(X2,X3,X6)
| ~ s_col(X0,X1,X6)
| X4 = X5
| ~ s_col(X2,X3,X5)
| ~ s_col(X0,X1,X5)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| X2 = X3
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_21) ).
fof(f91,axiom,
! [X0,X1] :
( ~ s_col(X0,X1,pointOffLine(X0,X1))
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_25) ).
fof(f92,axiom,
! [X0,X1,X2,X3,X4,X5] :
( s_e(X0,X2,X3,X5)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X1,X0,X4,X3)
| ~ sameside(X3,X4,X5)
| ~ sameside(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz6_28) ).
fof(f93,axiom,
! [X0,X1,X2] :
( s_m(X2,X1,X0)
| ~ s_m(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_2) ).
fof(f94,axiom,
! [X0,X1] :
( X1 = X0
| ~ s_m(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_3a) ).
fof(f95,axiom,
! [X0,X1] :
( X1 != X0
| s_m(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_3b) ).
fof(f96,axiom,
! [X0,X1] : s_m(X0,X1,s(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_4a) ).
fof(f97,axiom,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ s_m(X0,X1,X3)
| ~ s_m(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_4b) ).
fof(f98,axiom,
! [X0,X1,X2] :
( X2 = s(X1,X0)
| ~ s_m(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_6) ).
fof(f99,axiom,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_7) ).
fof(f101,axiom,
! [X0,X1,X2] :
( X1 = X2
| s(X0,X1) != s(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_9) ).
fof(f102,axiom,
! [X0,X1] :
( X1 = X0
| s(X0,X1) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_10a) ).
fof(f103,axiom,
! [X0,X1] :
( X1 != X0
| s(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_10b) ).
fof(f104,axiom,
! [X0,X1,X2] : s_e(X0,X1,s(X2,X0),s(X2,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_13) ).
fof(f105,axiom,
! [X0,X1,X2,X3] :
( s_t(s(X3,X0),s(X3,X1),s(X3,X2))
| ~ s_t(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_15a) ).
fof(f106,axiom,
! [X0,X1,X2,X3] :
( ~ s_t(s(X3,X0),s(X3,X1),s(X3,X2))
| s_t(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_15b) ).
fof(f107,axiom,
! [X0,X1,X2,X3,X4] :
( s_e(s(X4,X0),s(X4,X1),s(X4,X2),s(X4,X3))
| ~ s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_16a) ).
fof(f108,axiom,
! [X0,X1,X2,X3,X4] :
( ~ s_e(s(X4,X0),s(X4,X1),s(X4,X2),s(X4,X3))
| s_e(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_16b) ).
fof(f109,axiom,
! [X0,X1,X2,X3] :
( X1 = X3
| ~ s_m(X0,X3,X2)
| ~ s_m(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_17) ).
fof(f110,axiom,
! [X0,X1,X2] :
( X0 = X2
| s(X0,X1) != s(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_18) ).
fof(f111,axiom,
! [X0,X1,X2] :
( X0 = X1
| s(X0,s(X1,X2)) != s(X1,s(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_19) ).
fof(f112,axiom,
! [X0,X1,X2] :
( s_m(X0,X1,X2)
| X0 = X2
| ~ s_e(X1,X0,X1,X2)
| ~ s_col(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_20) ).
fof(f113,axiom,
! [X0,X1,X2,X3,X4] :
( s_m(X0,X4,X2)
| ~ s_col(X1,X4,X3)
| ~ s_col(X0,X4,X2)
| ~ s_e(X1,X2,X3,X0)
| ~ s_e(X0,X1,X2,X3)
| X1 = X3
| s_col(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_21) ).
fof(f116,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( s_t(X5,X1,X6)
| ~ s_m(X2,X6,X4)
| ~ s_m(X0,X5,X3)
| ~ s_e(X1,X2,X1,X4)
| ~ s_e(X1,X0,X1,X3)
| ~ s_t(X3,X1,X4)
| ~ s_t(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_22) ).
fof(f117,axiom,
! [X0,X1,X2] :
( s_m(X1,isomidpoint(X1,X2,X0),X2)
| ~ s_e(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_25) ).
fof(f118,axiom,
! [X0,X1,X2] :
( s_r(X2,X1,X0)
| ~ s_r(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_2) ).
fof(f119,axiom,
! [X0,X1,X2,X3] :
( s_r(X3,X1,X2)
| ~ s_col(X1,X0,X3)
| X0 = X1
| ~ s_r(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_3) ).
fof(f120,axiom,
! [X0,X1,X2] :
( s_r(X0,X1,s(X1,X2))
| ~ s_r(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_4) ).
fof(f121,axiom,
! [X0,X1] : s_r(X0,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_5) ).
fof(f122,axiom,
! [X0,X1,X2,X3] :
( X1 = X2
| ~ s_t(X0,X2,X3)
| ~ s_r(X3,X1,X2)
| ~ s_r(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_6) ).
fof(f123,axiom,
! [X0,X1,X2] :
( X1 = X2
| ~ s_r(X0,X2,X1)
| ~ s_r(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_7) ).
fof(f124,axiom,
! [X0,X1] :
( X0 = X1
| ~ s_r(X0,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_8) ).
fof(f125,axiom,
! [X0,X1,X2] :
( X2 = X1
| X0 = X1
| ~ s_col(X0,X1,X2)
| ~ s_r(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_9) ).
fof(f126,axiom,
! [X0,X1,X2,X3,X4,X5] :
( s_r(X3,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5)
| ~ s_r(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_10) ).
fof(f127,axiom,
! [X0,X1,X2,X3,X4] :
( perpAt(X3,X4,X2,X0,X1)
| ~ perpAt(X0,X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_12a) ).
fof(f128,axiom,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_12b) ).
fof(f129,axiom,
! [X0,X1,X2,X3,X4] :
( ( s_r(f813(X0,X1,X3,X4,X2),X2,g813(X0,X1,X3,X4,X2))
| ~ perpAt(X0,X1,X2,X3,X4) )
& ( X2 != g813(X0,X1,X3,X4,X2)
| ~ perpAt(X0,X1,X2,X3,X4) )
& ( X2 != f813(X0,X1,X3,X4,X2)
| ~ perpAt(X0,X1,X2,X3,X4) )
& ( s_col(X3,X4,g813(X0,X1,X3,X4,X2))
| ~ perpAt(X0,X1,X2,X3,X4) )
& ( s_col(X0,X1,f813(X0,X1,X3,X4,X2))
| ~ perpAt(X0,X1,X2,X3,X4) )
& ( s_col(X0,X1,X2)
| ~ perpAt(X0,X1,X2,X3,X4) )
& ( s_col(X3,X4,X2)
| ~ perpAt(X0,X1,X2,X3,X4) )
& ( X3 != X4
| ~ perpAt(X0,X1,X2,X3,X4) )
& ( X0 != X1
| ~ perpAt(X0,X1,X2,X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_13a) ).
fof(f130,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( perpAt(X0,X1,X4,X2,X3)
| ~ s_r(X5,X4,X6)
| X4 = X6
| X4 = X5
| ~ s_col(X2,X3,X6)
| ~ s_col(X0,X1,X5)
| ~ s_col(X0,X1,X4)
| ~ s_col(X2,X3,X4)
| X2 = X3
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_13b) ).
fof(f131,conjecture,
! [X0,X1,X2,X3] :
( ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2)
| ~ perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz8_14a) ).
fof(f132,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(negated_conjecture,[status(cth)],[f131]) ).
fof(f133,axiom,
! [X0,X1,X2,X3] : insert(X0,X1,X2,X3) = ext(ext(X3,X2,alpha,gamma),X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_insert) ).
fof(f135,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( s_ifs(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ s_e(X2,X3,X6,X7)
| ~ s_e(X0,X3,X4,X7)
| ~ s_e(X1,X2,X5,X6)
| ~ s_e(X0,X2,X4,X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X0,X1,X2) )
& ( s_e(X2,X3,X6,X7)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) )
& ( s_e(X0,X3,X4,X7)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) )
& ( s_e(X1,X2,X5,X6)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) )
& ( s_e(X0,X2,X4,X6)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) )
& ( s_t(X4,X5,X6)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) )
& ( s_t(X0,X1,X2)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn4_1) ).
fof(f136,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( s_e3(X0,X1,X2,X3,X4,X5)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X0,X2,X3,X5)
| ~ s_e(X0,X1,X3,X4) )
& ( s_e(X1,X2,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5) )
& ( s_e(X0,X2,X3,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5) )
& ( s_e(X0,X1,X3,X4)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn4_4) ).
fof(f137,axiom,
! [X0,X1,X2] :
( ( ~ s_t(X2,X0,X1)
| s_col(X0,X1,X2) )
& ( ~ s_t(X1,X2,X0)
| s_col(X0,X1,X2) )
& ( ~ s_t(X0,X1,X2)
| s_col(X0,X1,X2) )
& ( s_t(X2,X0,X1)
| s_t(X1,X2,X0)
| s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn4_10) ).
fof(f138,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( s_fs(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ s_e(X1,X3,X5,X7)
| ~ s_e(X0,X3,X4,X7)
| ~ s_e3(X0,X1,X2,X4,X5,X6)
| ~ s_col(X0,X1,X2) )
& ( s_e(X1,X3,X5,X7)
| ~ s_fs(X0,X1,X2,X3,X4,X5,X6,X7) )
& ( s_e(X0,X3,X4,X7)
| ~ s_fs(X0,X1,X2,X3,X4,X5,X6,X7) )
& ( s_e3(X0,X1,X2,X4,X5,X6)
| ~ s_fs(X0,X1,X2,X3,X4,X5,X6,X7) )
& ( s_col(X0,X1,X2)
| ~ s_fs(X0,X1,X2,X3,X4,X5,X6,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn4_15) ).
fof(f139,axiom,
! [X0,X1,X2,X3,X4] :
( ( le(X0,X1,X2,X3)
| ~ s_e(X0,X1,X2,X4)
| ~ s_t(X2,X4,X3) )
& ( s_e(X0,X1,X2,insert(X0,X1,X2,X3))
| ~ le(X0,X1,X2,X3) )
& ( s_t(X2,insert(X0,X1,X2,X3),X3)
| ~ le(X0,X1,X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn5_4) ).
fof(f140,axiom,
! [X0,X1,X2] :
( ( sameside(X0,X1,X2)
| X2 = X1
| X0 = X1
| ~ s_t(X1,X2,X0) )
& ( sameside(X0,X1,X2)
| xb = X1
| X0 = X1
| ~ s_t(X1,X0,X2) )
& ( s_t(X1,X2,X0)
| s_t(X1,X0,X2)
| ~ sameside(X0,X1,X2) )
& ( X2 != X1
| ~ sameside(X0,X1,X2) )
& ( X0 != X1
| ~ sameside(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn6_1) ).
fof(f141,axiom,
! [X0,X1,X2] :
( ( s_m(X0,X1,X2)
| ~ s_e(X1,X0,X1,X2)
| ~ s_t(X0,X1,X2) )
& ( s_e(X1,X0,X1,X2)
| ~ s_m(X0,X1,X2) )
& ( s_t(X0,X1,X2)
| ~ s_m(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn7_1) ).
fof(f143,axiom,
! [X0,X1,X2] :
( ( ~ s_e(X0,X2,X0,s(X1,X2))
| s_r(X0,X1,X2) )
& ( s_e(X0,X2,X0,s(X1,X2))
| ~ s_r(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_1) ).
fof(f144,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ~ s_r(f811(X0,X1,X3,X4,X2),X2,g811(X0,X1,X3,X4,X2))
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2)
| X3 = X4
| X0 = X1
| perpAt(X0,X1,X2,X3,X4) )
& ( s_col(X3,X4,g811(X0,X1,X3,X4,X2))
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2)
| X3 = X4
| X0 = X1
| perpAt(X0,X1,X2,X3,X4) )
& ( s_col(X0,X1,f811(X0,X1,X3,X4,X2))
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2)
| X3 = X4
| X0 = X1
| perpAt(X0,X1,X2,X3,X4) )
& ( s_r(X5,X2,X6)
| ~ s_col(X3,X4,X6)
| ~ s_col(X0,X1,X5)
| ~ perpAt(X0,X1,X2,X3,X4) )
& ( X3 != X4
| ~ perpAt(X0,X1,X2,X3,X4) )
& ( X0 != X1
| ~ perpAt(X0,X1,X2,X3,X4) )
& ( s_col(X3,X4,X2)
| ~ perpAt(X0,X1,X2,X3,X4) )
& ( s_col(X0,X1,X2)
| ~ perpAt(X0,X1,X2,X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_11a) ).
fof(f145,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ perpAt(X0,X1,X4,X2,X3)
| perp(X0,X1,X2,X3) )
& ( perpAt(X0,X1,il(X0,X1,X2,X3),X2,X3)
| ~ perp(X0,X1,X2,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_Defn8_11b) ).
fof(f146,plain,
? [X0,X1,X2,X3] :
( s_col(X0,X1,X3)
& s_col(X0,X1,X2)
& perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f132]) ).
fof(f147,plain,
( s_col(sK0,sK1,sK3)
& s_col(sK0,sK1,sK2)
& perp(sK0,sK1,sK2,sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f146]) ).
fof(f148,plain,
! [X0,X1] : s_e(X0,X1,X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f149,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f151,plain,
! [X2,X3,X0,X1] : s_e(X1,ext(X0,X1,X2,X3),X2,X3),
inference(cnf_transformation,[],[f4]) ).
fof(f152,plain,
! [X2,X3,X0,X1] : s_t(X0,X1,ext(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f4]) ).
fof(f153,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_e(X4,X6,X5,X7)
| X0 = X1
| ~ s_t(X2,X3,X5)
| ~ s_t(X0,X1,X4)
| ~ s_e(X1,X6,X3,X7)
| ~ s_e(X0,X6,X2,X7)
| ~ s_e(X1,X4,X3,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f154,plain,
! [X0,X1] :
( X0 = X1
| ~ s_t(X0,X1,X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f155,plain,
! [X2,X3,X0,X1,X4] :
( s_t(X4,ip(X0,X1,X2,X3,X4),X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
fof(f156,plain,
! [X2,X3,X0,X1,X4] :
( s_t(X1,ip(X0,X1,X2,X3,X4),X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f7]) ).
fof(f157,plain,
~ s_t(gamma,alpha,beta),
inference(cnf_transformation,[],[f8]) ).
fof(f158,plain,
~ s_t(beta,gamma,alpha),
inference(cnf_transformation,[],[f8]) ).
fof(f159,plain,
~ s_t(alpha,beta,gamma),
inference(cnf_transformation,[],[f8]) ).
fof(f160,plain,
! [X0,X1] : s_e(X0,X1,X0,X1),
inference(cnf_transformation,[],[f9]) ).
fof(f161,plain,
! [X2,X3,X0,X1] :
( s_e(X2,X3,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f162,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f11]) ).
fof(f163,plain,
! [X2,X3,X0,X1] :
( s_e(X1,X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f12]) ).
fof(f164,plain,
! [X2,X3,X0,X1] :
( s_e(X0,X1,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f13]) ).
fof(f165,plain,
! [X0,X1] : s_e(X0,X0,X1,X1),
inference(cnf_transformation,[],[f14]) ).
fof(f166,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X2,X3,X5)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X0,X1,X3,X4)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f15]) ).
fof(f167,plain,
! [X2,X3,X0,X1,X4] :
( ext(X0,X1,X3,X4) = X2
| ~ s_e(X1,X2,X3,X4)
| ~ s_t(X0,X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f16]) ).
fof(f168,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ s_e(X0,X1,X2,X2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f169,plain,
! [X2,X3,X0,X1] :
( s_e(X1,X0,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f18]) ).
fof(f170,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X2,X3,X5)
| ~ s_e(X1,X2,X3,X4)
| ~ s_e(X0,X1,X4,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f19]) ).
fof(f171,plain,
! [X0,X1] : s_t(X0,X1,X1),
inference(cnf_transformation,[],[f20]) ).
fof(f172,plain,
! [X2,X0,X1] :
( s_t(X2,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f173,plain,
! [X0,X1] : s_t(X0,X0,X1),
inference(cnf_transformation,[],[f22]) ).
fof(f174,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f175,plain,
! [X2,X3,X0,X1] :
( s_t(X0,X1,X3)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f176,plain,
! [X2,X3,X0,X1] :
( s_t(X1,X2,X3)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f177,plain,
! [X2,X3,X0,X1] :
( s_t(X0,X2,X3)
| X1 = X2
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f178,plain,
! [X2,X3,X0,X1] :
( s_t(X0,X3,X2)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f27]) ).
fof(f179,plain,
! [X2,X3,X0,X1] :
( s_t(X0,X1,X3)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f180,plain,
! [X2,X3,X0,X1] :
( s_t(X0,X1,X3)
| X1 = X2
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f181,plain,
alpha != beta,
inference(cnf_transformation,[],[f30]) ).
fof(f182,plain,
beta != gamma,
inference(cnf_transformation,[],[f31]) ).
fof(f183,plain,
alpha != gamma,
inference(cnf_transformation,[],[f32]) ).
fof(f185,plain,
! [X0,X1] : ext(X1,X0,alpha,gamma) != X0,
inference(cnf_transformation,[],[f34]) ).
fof(f186,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),X4)
| ~ s_t(X0,X5,X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f187,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f35]) ).
fof(f188,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_e(X1,X3,X5,X7)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f36]) ).
fof(f189,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X3,X4)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X0,X2,X3,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f190,plain,
! [X2,X3,X0,X1,X4] :
( s_e3(X0,X1,X2,X3,insert(X0,X1,X3,X4),X4)
| ~ s_e(X0,X2,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f191,plain,
! [X2,X3,X0,X1,X4] :
( s_t(X3,insert(X0,X1,X3,X4),X4)
| ~ s_e(X0,X2,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f192,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_t(X3,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f193,plain,
! [X2,X0,X1] :
( s_col(X1,X2,X0)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f194,plain,
! [X2,X0,X1] :
( s_col(X2,X0,X1)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f195,plain,
! [X2,X0,X1] :
( s_col(X2,X1,X0)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f196,plain,
! [X2,X0,X1] :
( s_col(X1,X0,X2)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f197,plain,
! [X2,X0,X1] :
( s_col(X0,X2,X1)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f198,plain,
! [X0,X1] : s_col(X0,X0,X1),
inference(cnf_transformation,[],[f45]) ).
fof(f199,plain,
! [X0,X1] : s_col(X0,X1,X0),
inference(cnf_transformation,[],[f46]) ).
fof(f200,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_col(X3,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f201,plain,
! [X2,X3,X0,X1,X4] :
( s_e3(X0,X1,X2,X3,X4,insert5(X0,X1,X2,X3,X4))
| ~ s_e(X0,X1,X3,X4)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f202,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_e(X2,X3,X6,X7)
| X0 = X1
| ~ s_fs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f49]) ).
fof(f203,plain,
! [X2,X3,X0,X1,X4] :
( s_e(X2,X3,X2,X4)
| ~ s_e(X1,X3,X1,X4)
| ~ s_e(X0,X3,X0,X4)
| ~ s_col(X0,X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f50]) ).
fof(f204,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| ~ s_e(X1,X2,X1,X3)
| ~ s_e(X0,X2,X0,X3)
| ~ s_col(X0,X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f51]) ).
fof(f205,plain,
! [X2,X3,X0,X1] :
( X1 = X3
| ~ s_e(X2,X1,X2,X3)
| ~ s_e(X0,X1,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f52]) ).
fof(f206,plain,
! [X2,X3,X0,X1] :
( s_t(X0,X3,X2)
| s_t(X0,X2,X3)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f53]) ).
fof(f207,plain,
! [X2,X3,X0,X1] :
( s_t(X1,X3,X2)
| s_t(X1,X2,X3)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f54]) ).
fof(f208,plain,
! [X2,X3,X0,X1] :
( s_t(X0,X3,X1)
| s_t(X0,X1,X3)
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f209,plain,
! [X2,X3,X0,X1] :
( ins(X2,X3,X0,X1) = ext(X0,X1,insert(X0,X1,X2,X3),X3)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f56]) ).
fof(f210,plain,
! [X2,X3,X0,X1] :
( s_e(X0,ins(X2,X3,X0,X1),X2,X3)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f56]) ).
fof(f211,plain,
! [X2,X3,X0,X1] :
( s_t(X0,X1,ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f56]) ).
fof(f212,plain,
! [X2,X3,X0,X1,X4] :
( ~ s_e(X0,X4,X2,X3)
| ~ s_t(X0,X1,X4)
| le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f57]) ).
fof(f213,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( le(X4,X5,X6,X7)
| ~ s_e(X2,X3,X6,X7)
| ~ s_e(X0,X1,X4,X5)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f58]) ).
fof(f214,plain,
! [X0,X1] : le(X0,X1,X0,X1),
inference(cnf_transformation,[],[f59]) ).
fof(f215,plain,
! [X2,X3,X0,X1,X4,X5] :
( le(X0,X1,X4,X5)
| ~ le(X2,X3,X4,X5)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f60]) ).
fof(f216,plain,
! [X2,X3,X0,X1] :
( s_e(X0,X1,X2,X3)
| ~ le(X2,X3,X0,X1)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f61]) ).
fof(f217,plain,
! [X2,X3,X0,X1] :
( le(X2,X3,X0,X1)
| le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f62]) ).
fof(f218,plain,
! [X2,X0,X1] : le(X0,X0,X1,X2),
inference(cnf_transformation,[],[f63]) ).
fof(f219,plain,
! [X2,X0,X1] :
( le(X0,X1,X0,X2)
| ~ s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f64]) ).
fof(f220,plain,
! [X2,X0,X1] :
( le(X1,X2,X0,X2)
| ~ s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f221,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ s_e(X0,X2,X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ~ le(X1,X2,X0,X2)
| ~ le(X0,X1,X0,X2)
| s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f67]) ).
fof(f224,plain,
! [X2,X3,X0,X1] :
( ~ sameside(X0,X1,X2)
| s_t(X2,X1,X3)
| ~ s_t(X0,X1,X3)
| X1 = X3
| X1 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f69]) ).
fof(f225,plain,
! [X2,X0,X1] :
( s_t(X2,X1,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f226,plain,
! [X2,X0,X1] :
( s_t(X0,X1,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f227,plain,
! [X2,X0,X1] :
( c63(X0,X1,X2) != X1
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f230,plain,
! [X2,X3,X0,X1] :
( ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,X3)
| X1 = X3
| X1 = X2
| X0 = X1
| sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f232,plain,
! [X2,X0,X1] :
( s_col(X0,X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f233,plain,
! [X2,X0,X1] :
( s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2)
| sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f73]) ).
fof(f234,plain,
! [X0,X1] :
( sameside(X0,X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f235,plain,
! [X2,X0,X1] :
( sameside(X2,X1,X0)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f75]) ).
fof(f236,plain,
! [X2,X3,X0,X1] :
( sameside(X0,X1,X3)
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f238,plain,
! [X2,X3,X0,X1] :
( sameside(insert(X2,X3,X1,X0),X1,X0)
| X2 = X3
| X0 = X1 ),
inference(cnf_transformation,[],[f77]) ).
fof(f239,plain,
! [X2,X3,X0,X1,X4,X5] :
( X4 = X5
| ~ s_e(X1,X5,X2,X3)
| ~ sameside(X5,X1,X0)
| ~ s_e(X1,X4,X2,X3)
| ~ sameside(X4,X1,X0)
| X2 = X3
| X0 = X1 ),
inference(cnf_transformation,[],[f78]) ).
fof(f240,plain,
! [X2,X0,X1] :
( s_t(X1,X0,X2)
| ~ le(X1,X0,X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f241,plain,
! [X2,X0,X1] :
( ~ s_t(X1,X0,X2)
| le(X1,X0,X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f242,plain,
! [X2,X3,X0,X1] :
( sameside(X3,X0,X2)
| sameside(X3,X0,X1)
| X0 = X3
| ~ s_col(X3,X0,X1)
| ~ s_t(X1,X0,X2)
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f81]) ).
fof(f244,plain,
! [X2,X3,X0,X1] :
( s_col(X3,X0,X1)
| ~ sameside(X3,X0,X2)
| ~ s_t(X1,X0,X2)
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f83]) ).
fof(f246,plain,
! [X2,X3,X0,X1] :
( s_t(X2,X3,X1)
| s_t(X3,X2,X1)
| ~ s_t(X3,X0,X1)
| ~ s_t(X2,X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f85]) ).
fof(f247,plain,
! [X2,X3,X0,X1] :
( s_col(X0,X2,X3)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2)
| X0 = X2
| X0 = X1 ),
inference(cnf_transformation,[],[f86]) ).
fof(f250,plain,
! [X2,X3,X0,X1,X4] :
( s_col(X0,X1,X4)
| ~ s_col(X2,X3,X4)
| ~ s_col(X2,X3,X1)
| ~ s_col(X2,X3,X0)
| X2 = X3
| X0 = X1 ),
inference(cnf_transformation,[],[f89]) ).
fof(f251,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s_col(X2,X3,X6)
| ~ s_col(X0,X1,X6)
| X4 = X5
| ~ s_col(X2,X3,X5)
| ~ s_col(X0,X1,X5)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| X2 = X3
| X0 = X1 ),
inference(cnf_transformation,[],[f90]) ).
fof(f252,plain,
! [X0,X1] :
( ~ s_col(X0,X1,pointOffLine(X0,X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f91]) ).
fof(f253,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X2,X3,X5)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X1,X0,X4,X3)
| ~ sameside(X3,X4,X5)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f92]) ).
fof(f254,plain,
! [X2,X0,X1] :
( s_m(X2,X1,X0)
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f255,plain,
! [X0,X1] :
( X0 = X1
| ~ s_m(X0,X1,X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f256,plain,
! [X0,X1] :
( X0 != X1
| s_m(X0,X1,X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f257,plain,
! [X0,X1] : s_m(X0,X1,s(X1,X0)),
inference(cnf_transformation,[],[f96]) ).
fof(f258,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| ~ s_m(X0,X1,X3)
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f97]) ).
fof(f259,plain,
! [X2,X0,X1] :
( s(X1,X0) = X2
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f260,plain,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
inference(cnf_transformation,[],[f99]) ).
fof(f262,plain,
! [X2,X0,X1] :
( X1 = X2
| s(X0,X1) != s(X0,X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f263,plain,
! [X0,X1] :
( X0 = X1
| s(X0,X1) != X1 ),
inference(cnf_transformation,[],[f102]) ).
fof(f264,plain,
! [X0,X1] :
( X0 != X1
| s(X0,X1) = X1 ),
inference(cnf_transformation,[],[f103]) ).
fof(f265,plain,
! [X2,X0,X1] : s_e(X0,X1,s(X2,X0),s(X2,X1)),
inference(cnf_transformation,[],[f104]) ).
fof(f266,plain,
! [X2,X3,X0,X1] :
( s_t(s(X3,X0),s(X3,X1),s(X3,X2))
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f267,plain,
! [X2,X3,X0,X1] :
( ~ s_t(s(X3,X0),s(X3,X1),s(X3,X2))
| s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f268,plain,
! [X2,X3,X0,X1,X4] :
( s_e(s(X4,X0),s(X4,X1),s(X4,X2),s(X4,X3))
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f107]) ).
fof(f269,plain,
! [X2,X3,X0,X1,X4] :
( ~ s_e(s(X4,X0),s(X4,X1),s(X4,X2),s(X4,X3))
| s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f108]) ).
fof(f270,plain,
! [X2,X3,X0,X1] :
( X1 = X3
| ~ s_m(X0,X3,X2)
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f109]) ).
fof(f271,plain,
! [X2,X0,X1] :
( X0 = X2
| s(X0,X1) != s(X2,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f272,plain,
! [X2,X0,X1] :
( X0 = X1
| s(X0,s(X1,X2)) != s(X1,s(X0,X2)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f273,plain,
! [X2,X0,X1] :
( s_m(X0,X1,X2)
| X0 = X2
| ~ s_e(X1,X0,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f112]) ).
fof(f274,plain,
! [X2,X3,X0,X1,X4] :
( s_m(X0,X4,X2)
| ~ s_col(X1,X4,X3)
| ~ s_col(X0,X4,X2)
| ~ s_e(X1,X2,X3,X0)
| ~ s_e(X0,X1,X2,X3)
| X1 = X3
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f113]) ).
fof(f277,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s_t(X5,X1,X6)
| ~ s_m(X2,X6,X4)
| ~ s_m(X0,X5,X3)
| ~ s_e(X1,X2,X1,X4)
| ~ s_e(X1,X0,X1,X3)
| ~ s_t(X3,X1,X4)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f116]) ).
fof(f278,plain,
! [X2,X0,X1] :
( s_m(X1,isomidpoint(X1,X2,X0),X2)
| ~ s_e(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f279,plain,
! [X2,X0,X1] :
( s_r(X2,X1,X0)
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f118]) ).
fof(f280,plain,
! [X2,X3,X0,X1] :
( s_r(X3,X1,X2)
| ~ s_col(X1,X0,X3)
| X0 = X1
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f119]) ).
fof(f281,plain,
! [X2,X0,X1] :
( s_r(X0,X1,s(X1,X2))
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f282,plain,
! [X0,X1] : s_r(X0,X1,X1),
inference(cnf_transformation,[],[f121]) ).
fof(f283,plain,
! [X2,X3,X0,X1] :
( X1 = X2
| ~ s_t(X0,X2,X3)
| ~ s_r(X3,X1,X2)
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f284,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ s_r(X0,X2,X1)
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f285,plain,
! [X0,X1] :
( X0 = X1
| ~ s_r(X0,X1,X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f286,plain,
! [X2,X0,X1] :
( X1 = X2
| X0 = X1
| ~ s_col(X0,X1,X2)
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f125]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_r(X3,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5)
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f126]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X4] :
( perpAt(X3,X4,X2,X0,X1)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f127]) ).
fof(f289,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f128]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X4] :
( s_r(f813(X0,X1,X3,X4,X2),X2,g813(X0,X1,X3,X4,X2))
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f129]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X4] :
( g813(X0,X1,X3,X4,X2) != X2
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f129]) ).
fof(f292,plain,
! [X2,X3,X0,X1,X4] :
( f813(X0,X1,X3,X4,X2) != X2
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f129]) ).
fof(f293,plain,
! [X2,X3,X0,X1,X4] :
( s_col(X3,X4,g813(X0,X1,X3,X4,X2))
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f129]) ).
fof(f294,plain,
! [X2,X3,X0,X1,X4] :
( s_col(X0,X1,f813(X0,X1,X3,X4,X2))
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f129]) ).
fof(f299,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( perpAt(X0,X1,X4,X2,X3)
| ~ s_r(X5,X4,X6)
| X4 = X6
| X4 = X5
| ~ s_col(X2,X3,X6)
| ~ s_col(X0,X1,X5)
| ~ s_col(X0,X1,X4)
| ~ s_col(X2,X3,X4)
| X2 = X3
| X0 = X1 ),
inference(cnf_transformation,[],[f130]) ).
fof(f300,plain,
s_col(sK0,sK1,sK3),
inference(cnf_transformation,[],[f147]) ).
fof(f301,plain,
s_col(sK0,sK1,sK2),
inference(cnf_transformation,[],[f147]) ).
fof(f302,plain,
perp(sK0,sK1,sK2,sK3),
inference(cnf_transformation,[],[f147]) ).
fof(f303,plain,
! [X2,X3,X0,X1] : insert(X0,X1,X2,X3) = ext(ext(X3,X2,alpha,gamma),X2,X0,X1),
inference(cnf_transformation,[],[f133]) ).
fof(f311,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_ifs(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ s_e(X2,X3,X6,X7)
| ~ s_e(X0,X3,X4,X7)
| ~ s_e(X1,X2,X5,X6)
| ~ s_e(X0,X2,X4,X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f135]) ).
fof(f318,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e3(X0,X1,X2,X3,X4,X5)
| ~ s_e(X1,X2,X4,X5)
| ~ s_e(X0,X2,X3,X5)
| ~ s_e(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f136]) ).
fof(f319,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X1,X2,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f136]) ).
fof(f320,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X2,X3,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f136]) ).
fof(f321,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X3,X4)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f136]) ).
fof(f322,plain,
! [X2,X0,X1] :
( ~ s_t(X2,X0,X1)
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f137]) ).
fof(f323,plain,
! [X2,X0,X1] :
( ~ s_t(X1,X2,X0)
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f137]) ).
fof(f324,plain,
! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f137]) ).
fof(f325,plain,
! [X2,X0,X1] :
( s_t(X2,X0,X1)
| s_t(X1,X2,X0)
| s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f137]) ).
fof(f326,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( s_fs(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ s_e(X1,X3,X5,X7)
| ~ s_e(X0,X3,X4,X7)
| ~ s_e3(X0,X1,X2,X4,X5,X6)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f331,plain,
! [X2,X3,X0,X1,X4] :
( le(X0,X1,X2,X3)
| ~ s_e(X0,X1,X2,X4)
| ~ s_t(X2,X4,X3) ),
inference(cnf_transformation,[],[f139]) ).
fof(f332,plain,
! [X2,X3,X0,X1] :
( s_e(X0,X1,X2,insert(X0,X1,X2,X3))
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f139]) ).
fof(f333,plain,
! [X2,X3,X0,X1] :
( s_t(X2,insert(X0,X1,X2,X3),X3)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f139]) ).
fof(f334,plain,
! [X2,X0,X1] :
( sameside(X0,X1,X2)
| X1 = X2
| X0 = X1
| ~ s_t(X1,X2,X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f335,plain,
! [X2,X0,X1] :
( sameside(X0,X1,X2)
| xb = X1
| X0 = X1
| ~ s_t(X1,X0,X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f336,plain,
! [X2,X0,X1] :
( s_t(X1,X2,X0)
| s_t(X1,X0,X2)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f337,plain,
! [X2,X0,X1] :
( X1 != X2
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f338,plain,
! [X2,X0,X1] :
( X0 != X1
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f339,plain,
! [X2,X0,X1] :
( s_m(X0,X1,X2)
| ~ s_e(X1,X0,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f141]) ).
fof(f340,plain,
! [X2,X0,X1] :
( s_e(X1,X0,X1,X2)
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f141]) ).
fof(f341,plain,
! [X2,X0,X1] :
( s_t(X0,X1,X2)
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f141]) ).
fof(f349,plain,
! [X2,X0,X1] :
( ~ s_e(X0,X2,X0,s(X1,X2))
| s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f143]) ).
fof(f350,plain,
! [X2,X0,X1] :
( s_e(X0,X2,X0,s(X1,X2))
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f143]) ).
fof(f351,plain,
! [X2,X3,X0,X1,X4] :
( ~ s_r(f811(X0,X1,X3,X4,X2),X2,g811(X0,X1,X3,X4,X2))
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2)
| X3 = X4
| X0 = X1
| perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f144]) ).
fof(f352,plain,
! [X2,X3,X0,X1,X4] :
( s_col(X3,X4,g811(X0,X1,X3,X4,X2))
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2)
| X3 = X4
| X0 = X1
| perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f144]) ).
fof(f353,plain,
! [X2,X3,X0,X1,X4] :
( s_col(X0,X1,f811(X0,X1,X3,X4,X2))
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2)
| X3 = X4
| X0 = X1
| perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f144]) ).
fof(f354,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s_r(X5,X2,X6)
| ~ s_col(X3,X4,X6)
| ~ s_col(X0,X1,X5)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f144]) ).
fof(f355,plain,
! [X2,X3,X0,X1,X4] :
( X3 != X4
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f144]) ).
fof(f356,plain,
! [X2,X3,X0,X1,X4] :
( X0 != X1
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f144]) ).
fof(f357,plain,
! [X2,X3,X0,X1,X4] :
( s_col(X3,X4,X2)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f144]) ).
fof(f358,plain,
! [X2,X3,X0,X1,X4] :
( s_col(X0,X1,X2)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f144]) ).
fof(f359,plain,
! [X2,X3,X0,X1,X4] :
( ~ perpAt(X0,X1,X4,X2,X3)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f145]) ).
fof(f360,plain,
! [X2,X3,X0,X1] :
( perpAt(X0,X1,il(X0,X1,X2,X3),X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f145]) ).
fof(f361,plain,
! [X2,X3,X0,X1,X4] :
( s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X0,X1),X4)
| ~ s_e(X0,X2,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(definition_unfolding,[],[f191,f303]) ).
fof(f362,plain,
! [X2,X3,X0,X1,X4] :
( s_e3(X0,X1,X2,X3,ext(ext(X4,X3,alpha,gamma),X3,X0,X1),X4)
| ~ s_e(X0,X2,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(definition_unfolding,[],[f190,f303]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( ins(X2,X3,X0,X1) = ext(X0,X1,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ le(X0,X1,X2,X3) ),
inference(definition_unfolding,[],[f209,f303]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( sameside(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X0)
| X2 = X3
| X0 = X1 ),
inference(definition_unfolding,[],[f238,f303]) ).
fof(f366,plain,
! [X2,X3,X0,X1] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ le(X0,X1,X2,X3) ),
inference(definition_unfolding,[],[f333,f303]) ).
fof(f367,plain,
! [X2,X3,X0,X1] :
( s_e(X0,X1,X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1))
| ~ le(X0,X1,X2,X3) ),
inference(definition_unfolding,[],[f332,f303]) ).
fof(f371,plain,
! [X1] : s_m(X1,X1,X1),
inference(equality_resolution,[],[f256]) ).
fof(f373,plain,
! [X1] : s(X1,X1) = X1,
inference(equality_resolution,[],[f264]) ).
fof(f376,plain,
! [X2,X1] : ~ sameside(X1,X1,X2),
inference(equality_resolution,[],[f338]) ).
fof(f377,plain,
! [X2,X0] : ~ sameside(X0,X2,X2),
inference(equality_resolution,[],[f337]) ).
fof(f378,plain,
! [X2,X3,X1,X4] : ~ perpAt(X1,X1,X2,X3,X4),
inference(equality_resolution,[],[f356]) ).
fof(f379,plain,
! [X2,X0,X1,X4] : ~ perpAt(X0,X1,X2,X4,X4),
inference(equality_resolution,[],[f355]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] : s_e(X0,X1,X1,X0),
inference(cnf_transformation,[],[f148]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,ext(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f152]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_e(X0,ext(X1,X0,X2,X3),X2,X3),
inference(cnf_transformation,[],[f151]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X4,X7,X5)
| ( X0 = X1 )
| ~ s_t(X2,X3,X7)
| ~ s_t(X0,X1,X6)
| ~ s_e(X1,X6,X3,X7)
| ~ s_e(X1,X4,X3,X5)
| ~ s_e(X0,X4,X2,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ s_t(X0,X1,X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_58,plain,
~ s_t(alpha,beta,gamma),
inference(cnf_transformation,[],[f159]) ).
tcf(c_59,plain,
~ s_t(beta,gamma,alpha),
inference(cnf_transformation,[],[f158]) ).
tcf(c_60,plain,
~ s_t(gamma,alpha,beta),
inference(cnf_transformation,[],[f157]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : s_e(X0,X1,X0,X1),
inference(cnf_transformation,[],[f160]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,X1,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X1,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] : s_e(X0,X0,X1,X1),
inference(cnf_transformation,[],[f165]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,X4,X2,X5)
| ~ s_t(X2,X3,X5)
| ~ s_t(X0,X1,X4)
| ~ s_e(X1,X4,X3,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X4 )
| ( ext(X4,X0,X2,X3) = X1 )
| ~ s_t(X4,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ s_e(X0,X1,X2,X2) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X0,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,X4,X5,X3)
| ~ s_t(X5,X2,X3)
| ~ s_t(X0,X1,X4)
| ~ s_e(X1,X4,X5,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] : s_t(X0,X1,X1),
inference(cnf_transformation,[],[f171]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] : s_t(X0,X0,X1),
inference(cnf_transformation,[],[f173]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,X3)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X2,X3)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X2,X3)
| ( X1 = X2 )
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X3,X2)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,X3)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,X3)
| ( X1 = X2 )
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_82,plain,
alpha != beta,
inference(cnf_transformation,[],[f181]) ).
tcf(c_83,plain,
beta != gamma,
inference(cnf_transformation,[],[f182]) ).
tcf(c_84,plain,
alpha != gamma,
inference(cnf_transformation,[],[f183]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] : ext(X0,X1,alpha,gamma) != X1,
inference(cnf_transformation,[],[f185]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X5,X3),X2)
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),X5)
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X1,X3,X5,X7)
| ~ s_ifs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,X4,X2,X5)
| ~ s_t(X2,X5,X3)
| ~ s_t(X0,X4,X1)
| ~ s_e(X4,X1,X5,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X4),X3)
| ~ s_t(X0,X4,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f361]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e3(X0,X4,X1,X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X4),X3)
| ~ s_t(X0,X4,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f362]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X4,X5)
| ~ s_t(X0,X1,X2)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f192]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X2,X0)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X2,X0,X1)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X2,X1,X0)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X2,X1)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] : s_col(X0,X0,X1),
inference(cnf_transformation,[],[f198]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] : s_col(X0,X1,X0),
inference(cnf_transformation,[],[f199]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X3,X4,X5)
| ~ s_col(X0,X1,X2)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f200]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e3(X0,X1,X4,X2,X3,insert5(X0,X1,X4,X2,X3))
| ~ s_col(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X2,X3,X6,X7)
| ( X0 = X1 )
| ~ s_fs(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X4,X2)
| ( X0 = X3 )
| ~ s_col(X0,X3,X4)
| ~ s_e(X3,X1,X3,X2)
| ~ s_e(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = X3 )
| ~ s_col(X0,X3,X1)
| ~ s_e(X3,X1,X3,X2)
| ~ s_e(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ~ s_t(X0,X1,X3)
| ~ s_e(X3,X1,X3,X2)
| ~ s_e(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X3,X2)
| s_t(X0,X2,X3)
| ( X0 = X1 )
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X3,X2)
| s_t(X1,X2,X3)
| ( X0 = X1 )
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X3,X1)
| s_t(X0,X1,X3)
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ins(X2,X3,X0,X1),X2,X3)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X0,X1,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3) = ins(X2,X3,X0,X1) )
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f363]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X4,X2,X3)
| ~ s_t(X0,X4,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X2,X3,X6,X7)
| ~ le(X0,X1,X4,X5)
| ~ s_e(X4,X5,X6,X7)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i] : le(X0,X1,X0,X1),
inference(cnf_transformation,[],[f214]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X0,X1,X4,X5)
| ~ le(X2,X3,X4,X5)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X1,X2,X3)
| ~ le(X2,X3,X0,X1)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X2,X3,X0,X1)
| le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i,X2: $i] : le(X0,X0,X1,X2),
inference(cnf_transformation,[],[f218]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,X0,X2)
| ~ s_col(X0,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X1,X2,X0,X2)
| ~ s_col(X0,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_t(X0,X2,X1)
| ~ s_e(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2)
| ~ le(X1,X2,X0,X2)
| ~ le(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X1,X2)
| ( X1 = X3 )
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ sameside(X0,X1,X2)
| ( c63(X0,X1,X2) != X1 ) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X3)
| ( X1 = X3 )
| ( X1 = X2 )
| ( X0 = X1 )
| ~ s_t(X3,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f232]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f231]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,X2)
| s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f233]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i] :
( sameside(X0,X1,X0)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,X1,X0)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f235]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X3)
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X0)
| ( X2 = X3 )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f364]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X3 )
| ( X1 = X4 )
| ( X0 = X5 )
| ~ sameside(X4,X0,X5)
| ~ sameside(X1,X0,X5)
| ~ s_e(X0,X4,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,X2)
| ~ sameside(X1,X0,X2)
| ~ le(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,X0,X2)
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X3,X1,X2)
| sameside(X3,X1,X0)
| ( X1 = X3 )
| ( X1 = X2 )
| ( X0 = X1 )
| ~ s_col(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f242]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X3,X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X3,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X0,X2)
| s_t(X0,X3,X2)
| ( X1 = X2 )
| ~ s_t(X3,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X2,X3)
| ( X0 = X2 )
| ( X0 = X1 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X2,X3,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f250]) ).
tcf(c_152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( X2 = X3 )
| ( X0 = X1 )
| ~ s_col(X5,X6,X3)
| ~ s_col(X5,X6,X2)
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f251]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ s_col(X0,X1,pointOffLine(X0,X1)) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X1,X4,X3,X5)
| ~ sameside(X3,X2,X5)
| ~ sameside(X1,X0,X4)
| ~ s_e(X0,X4,X2,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f253]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X2,X1,X0)
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f254]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ s_m(X0,X1,X0) ),
inference(cnf_transformation,[],[f255]) ).
tcf(c_157,plain,
! [X0: $i] : s_m(X0,X0,X0),
inference(cnf_transformation,[],[f371]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i] : s_m(X0,X1,s(X1,X0)),
inference(cnf_transformation,[],[f257]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ~ s_m(X0,X1,X3)
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f258]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X1,X0) = X2 )
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f259]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i] : s(X0,s(X0,X1)) = X1,
inference(cnf_transformation,[],[f260]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( s(X0,X1) != s(X0,X2) ) ),
inference(cnf_transformation,[],[f262]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f263]) ).
tcf(c_165,plain,
! [X0: $i] : s(X0,X0) = X0,
inference(cnf_transformation,[],[f373]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,X1,s(X2,X0),s(X2,X1)),
inference(cnf_transformation,[],[f265]) ).
tcf(c_167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X3,X0),s(X3,X1),s(X3,X2))
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f266]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X2,X3)
| ~ s_t(s(X0,X1),s(X0,X2),s(X0,X3)) ),
inference(cnf_transformation,[],[f267]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X4,X0),s(X4,X1),s(X4,X2),s(X4,X3))
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X2,X3,X4)
| ~ s_e(s(X0,X1),s(X0,X2),s(X0,X3),s(X0,X4)) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ s_m(X0,X3,X2)
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( s(X0,X1) != s(X2,X1) ) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_173,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( s(X0,s(X1,X2)) != s(X1,s(X0,X2)) ) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X1,X0,X2)
| ( X1 = X2 )
| ~ s_col(X1,X0,X2)
| ~ s_e(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(X0,X4,X2)
| s_col(X0,X1,X2)
| ( X1 = X3 )
| ~ s_col(X1,X4,X3)
| ~ s_col(X0,X4,X2)
| ~ s_e(X1,X2,X3,X0)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,X0,X6)
| ~ s_m(X3,X6,X4)
| ~ s_m(X1,X5,X2)
| ~ s_t(X2,X0,X4)
| ~ s_t(X1,X0,X3)
| ~ s_e(X0,X3,X0,X4)
| ~ s_e(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_179,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X1,isomidpoint(X1,X2,X0),X2)
| ~ s_e(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X2,X1,X0)
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_r(X2,X0,X3)
| ( X0 = X1 )
| ~ s_r(X1,X0,X3)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_182,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X0,X1,s(X1,X2))
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i] : s_r(X0,X1,X1),
inference(cnf_transformation,[],[f282]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ s_r(X2,X3,X1)
| ~ s_r(X0,X3,X1)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_r(X0,X2,X1)
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_186,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ s_r(X0,X1,X0) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_187,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = X1 )
| ~ s_r(X0,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_r(X3,X4,X5)
| ~ s_r(X0,X1,X2)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perpAt(X3,X4,X2,X0,X1)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,f813(X0,X1,X3,X4,X2))
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,g813(X0,X1,X3,X4,X2))
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ perpAt(X0,X1,X4,X2,X3)
| ( f813(X0,X1,X2,X3,X4) != X4 ) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ perpAt(X0,X1,X4,X2,X3)
| ( g813(X0,X1,X2,X3,X4) != X4 ) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(f813(X0,X1,X3,X4,X2),X2,g813(X0,X1,X3,X4,X2))
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( perpAt(X0,X1,X2,X4,X5)
| ( X4 = X5 )
| ( X2 = X6 )
| ( X2 = X3 )
| ( X0 = X1 )
| ~ s_r(X3,X2,X6)
| ~ s_col(X4,X5,X6)
| ~ s_col(X4,X5,X2)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_201,negated_conjecture,
perp(sK0,sK1,sK2,sK3),
inference(cnf_transformation,[],[f302]) ).
tcf(c_202,negated_conjecture,
s_col(sK0,sK1,sK2),
inference(cnf_transformation,[],[f301]) ).
tcf(c_203,negated_conjecture,
s_col(sK0,sK1,sK3),
inference(cnf_transformation,[],[f300]) ).
tcf(c_217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_ifs(X0,X6,X1,X4,X2,X7,X3,X5)
| ~ s_t(X2,X7,X3)
| ~ s_t(X0,X6,X1)
| ~ s_e(X6,X1,X7,X3)
| ~ s_e(X1,X4,X3,X5)
| ~ s_e(X0,X4,X2,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,X1,X3,X4)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,X2,X3,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X1,X2,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e3(X0,X1,X4,X2,X3,X5)
| ~ s_e(X1,X4,X3,X5)
| ~ s_e(X0,X4,X2,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_222,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,X1)
| s_t(X1,X2,X0)
| s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_223,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_224,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X2,X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X2,X0)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_fs(X0,X1,X2,X6,X3,X4,X5,X7)
| ~ s_col(X0,X1,X2)
| ~ s_e(X1,X6,X4,X7)
| ~ s_e(X0,X6,X3,X7)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f366]) ).
tcf(c_232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X1,X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1))
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f367]) ).
tcf(c_233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,X2,X4)
| ~ s_t(X2,X3,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f331]) ).
tcf(c_234,plain,
! [X0: $i,X1: $i] : ~ sameside(X0,X0,X1),
inference(cnf_transformation,[],[f376]) ).
tcf(c_235,plain,
! [X0: $i,X1: $i] : ~ sameside(X0,X1,X1),
inference(cnf_transformation,[],[f377]) ).
tcf(c_236,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X2,X0)
| s_t(X1,X0,X2)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_237,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X1,X0,X2)
| ( X0 = xb )
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_238,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,X0,X1)
| ( X0 = X2 )
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_239,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,X2)
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f341]) ).
tcf(c_240,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X0,X1,X2)
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_241,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X1,X0,X2)
| ~ s_t(X1,X0,X2)
| ~ s_e(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_249,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X0,s(X1,X2))
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f350]) ).
tcf(c_250,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X0,X2,X1)
| ~ s_e(X0,X1,X0,s(X2,X1)) ),
inference(cnf_transformation,[],[f349]) ).
tcf(c_251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X2)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f358]) ).
tcf(c_252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f357]) ).
tcf(c_253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ perpAt(X0,X0,X1,X2,X3),
inference(cnf_transformation,[],[f378]) ).
tcf(c_254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ perpAt(X0,X1,X2,X3,X3),
inference(cnf_transformation,[],[f379]) ).
tcf(c_255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_r(X5,X2,X6)
| ~ s_col(X3,X4,X6)
| ~ s_col(X0,X1,X5)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f354]) ).
tcf(c_256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perpAt(X0,X1,X2,X3,X4)
| s_col(X0,X1,f811(X0,X1,X3,X4,X2))
| ( X3 = X4 )
| ( X0 = X1 )
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f353]) ).
tcf(c_257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perpAt(X0,X1,X2,X3,X4)
| s_col(X3,X4,g811(X0,X1,X3,X4,X2))
| ( X3 = X4 )
| ( X0 = X1 )
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f352]) ).
tcf(c_258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perpAt(X0,X1,X4,X2,X3)
| ( X2 = X3 )
| ( X0 = X1 )
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_r(f811(X0,X1,X2,X3,X4),X4,g811(X0,X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f351]) ).
tcf(c_259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(X0,X1,il(X0,X1,X2,X3),X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f360]) ).
tcf(c_260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(X0,X1,X3,X4)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_319,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_142,c_223,c_120]) ).
tcf(c_321,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X1,X2,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_121,c_223,c_121]) ).
tcf(c_323,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_120,c_319]) ).
tcf(c_2449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
( s_e(X4,X6,X12,X14)
| ( X0 = X2 )
| ~ s_col(X1,X3,X5)
| ~ s_e(X3,X7,X11,X15)
| ~ s_e(X1,X7,X9,X15)
| ~ s_e3(X1,X3,X5,X9,X11,X13)
| ( X14 != X15 )
| ( X12 != X13 )
| ( X10 != X11 )
| ( X8 != X9 )
| ( X6 != X7 )
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_103,c_230]) ).
tcf(c_2450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X2,X6,X5,X7)
| ( X0 = X1 )
| ~ s_col(X0,X1,X2)
| ~ s_e(X1,X6,X4,X7)
| ~ s_e(X0,X6,X3,X7)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ),
inference(unflattening,[status(thm)],[c_2449]) ).
tcf(c_2499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
( s_e(X2,X6,X10,X14)
| ~ s_t(X9,X11,X13)
| ~ s_t(X1,X3,X5)
| ~ s_e(X5,X7,X13,X15)
| ~ s_e(X3,X5,X11,X13)
| ~ s_e(X1,X7,X9,X15)
| ~ s_e(X1,X5,X9,X13)
| ( X14 != X15 )
| ( X12 != X13 )
| ( X10 != X11 )
| ( X8 != X9 )
| ( X6 != X7 )
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_89,c_217]) ).
tcf(c_2500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X4,X7,X5)
| ~ s_t(X2,X7,X3)
| ~ s_t(X0,X6,X1)
| ~ s_e(X6,X1,X7,X3)
| ~ s_e(X1,X4,X3,X5)
| ~ s_e(X0,X4,X2,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(unflattening,[status(thm)],[c_2499]) ).
tcf(c_2607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_col(X8,X4,X9)
| ~ s_col(X5,X10,X7)
| ~ s_t(X2,X3,X6)
| ~ s_e(X2,X6,X1,X0)
| ( X6 != X7 )
| ( X3 != X10 )
| ( X2 != X5 )
| ( X1 != X8 )
| ( X0 != X9 )
| ( ext(ext(X0,X1,alpha,gamma),X1,X2,X3) != X4 ) ),
inference(resolution_lifted,[status(thm)],[c_92,c_101]) ).
tcf(c_2608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X4),X3)
| ~ s_col(X0,X4,X1)
| ~ s_t(X0,X4,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(unflattening,[status(thm)],[c_2607]) ).
tcf(c_2618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X4),X3)
| ~ s_t(X0,X4,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2608,c_223]) ).
tcf(c_2697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X6,X8,X10)
| ~ s_col(X1,X3,X5)
| ~ s_t(X0,X2,X4)
| ~ s_e(X1,X3,X7,X9)
| ( X8 != X9 )
| ( X6 != X7 )
| ( X4 != X5 )
| ( X2 != X3 )
| ( X0 != X1 )
| ( insert5(X1,X3,X5,X7,X9) != X10 ) ),
inference(resolution_lifted,[status(thm)],[c_93,c_102]) ).
tcf(c_2698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X3,insert5(X0,X1,X4,X2,X3))
| ~ s_col(X0,X1,X4)
| ~ s_t(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(unflattening,[status(thm)],[c_2697]) ).
tcf(c_2708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X3,insert5(X0,X1,X4,X2,X3))
| ~ s_t(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2698,c_223]) ).
tcf(c_5022,negated_conjecture,
s_col(sK0,sK1,sK3),
inference(demodulation,[status(thm)],[c_203]) ).
tcf(c_5023,negated_conjecture,
s_col(sK0,sK1,sK2),
inference(demodulation,[status(thm)],[c_202]) ).
tcf(c_5024,negated_conjecture,
perp(sK0,sK1,sK2,sK3),
inference(demodulation,[status(thm)],[c_201]) ).
tcf(c_7182,plain,
! [X0: $i,X1: $i] : s_col(X0,X1,X1),
inference(superposition,[status(thm)],[c_100,c_94]) ).
tcf(c_8057,plain,
( sameside(sK0,sK1,sK2)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_5023,c_134]) ).
tcf(c_8058,plain,
( sameside(sK0,sK1,sK3)
| s_t(sK0,sK1,sK3) ),
inference(superposition,[status(thm)],[c_5022,c_134]) ).
tcf(c_8138,plain,
( sameside(sK2,sK1,sK0)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_8057,c_136]) ).
tcf(c_9193,plain,
! [X0: $i] :
( s_t(sK0,sK1,sK2)
| sameside(sK2,sK1,X0)
| ~ sameside(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_8138,c_137]) ).
tcf(c_9781,plain,
( sameside(sK2,sK1,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_8058,c_9193]) ).
tcf(c_9824,plain,
( s_col(sK2,sK1,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_9781,c_132]) ).
tcf(c_9876,plain,
( s_col(sK2,sK3,sK1)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_9824,c_98]) ).
tcf(c_12752,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X2,X1,X0)
| ~ s_m(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_240,c_62]) ).
tcf(c_14804,plain,
( sameside(sK0,sK1,sK2)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_5023,c_134]) ).
tcf(c_14805,plain,
( sameside(sK0,sK1,sK3)
| s_t(sK0,sK1,sK3) ),
inference(superposition,[status(thm)],[c_5022,c_134]) ).
tcf(c_15334,plain,
( sameside(sK2,sK1,sK0)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_14804,c_136]) ).
tcf(c_15936,plain,
! [X0: $i,X1: $i] : s_m(X0,isomidpoint(X0,X0,X1),X0),
inference(superposition,[status(thm)],[c_61,c_179]) ).
tcf(c_15938,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X0,isomidpoint(X0,X2,X1),X2)
| ~ s_m(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_240,c_179]) ).
tcf(c_15943,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X2,isomidpoint(X2,X0,X1),X0)
| ~ s_m(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_12752,c_179]) ).
tcf(c_16098,plain,
! [X0: $i,X1: $i] : isomidpoint(X0,X0,X1) = X0,
inference(superposition,[status(thm)],[c_15936,c_156]) ).
tcf(c_19839,plain,
! [X0: $i] :
( s_t(sK0,sK1,sK2)
| sameside(sK2,sK1,X0)
| ~ sameside(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_15334,c_137]) ).
tcf(c_23155,plain,
( sameside(sK2,sK1,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_14805,c_19839]) ).
tcf(c_23192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X1,c63(X0,X1,X2))
| ( X1 = X3 )
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X0,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_129,c_125]) ).
tcf(c_23193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X1,c63(X0,X1,X2))
| ( X1 = X3 )
| ( X1 = X2 )
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_130,c_125]) ).
tcf(c_23452,plain,
( s_t(sK1,sK3,sK2)
| s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_23155,c_236]) ).
tcf(c_26144,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,X0,X1)
| ( sK0 = sK1 )
| ( X0 = sK2 )
| ~ s_col(sK0,sK1,X1)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_5023,c_151]) ).
tcf(c_27754,plain,
! [X0: $i] :
( s_col(sK2,sK3,X0)
| ( sK2 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_5022,c_26144]) ).
tcf(c_30027,plain,
( s_t(sK2,sK3,sK1)
| s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_23452,c_73]) ).
tcf(c_86593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X4,X2)
| ( X0 = X3 )
| ~ s_m(X1,X3,X2)
| ~ s_col(X3,X0,X4)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_240,c_104]) ).
tcf(c_86598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X4,X2)
| ( X0 = X3 )
| ~ s_m(X2,X3,X1)
| ~ s_col(X3,X0,X4)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_12752,c_104]) ).
tcf(c_90293,plain,
! [X0: $i,X1: $i] : s_col(X0,X1,X1),
inference(superposition,[status(thm)],[c_100,c_94]) ).
tcf(c_90294,plain,
s_col(sK1,sK2,sK0),
inference(superposition,[status(thm)],[c_5023,c_94]) ).
tcf(c_90295,plain,
s_col(sK1,sK3,sK0),
inference(superposition,[status(thm)],[c_5022,c_94]) ).
tcf(c_90302,plain,
s_col(sK2,sK0,sK1),
inference(superposition,[status(thm)],[c_5023,c_95]) ).
tcf(c_90303,plain,
s_col(sK3,sK0,sK1),
inference(superposition,[status(thm)],[c_5022,c_95]) ).
tcf(c_90311,plain,
s_col(sK3,sK1,sK0),
inference(superposition,[status(thm)],[c_5022,c_96]) ).
tcf(c_91244,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,s(X1,X2),X0,X2)
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_249,c_62]) ).
tcf(c_91295,plain,
( sameside(sK1,sK2,sK0)
| s_t(sK1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_90294,c_134]) ).
tcf(c_91296,plain,
( sameside(sK1,sK3,sK0)
| s_t(sK1,sK3,sK0) ),
inference(superposition,[status(thm)],[c_90295,c_134]) ).
tcf(c_91297,plain,
( sameside(sK2,sK0,sK1)
| s_t(sK2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_90302,c_134]) ).
tcf(c_91298,plain,
( sameside(sK3,sK0,sK1)
| s_t(sK3,sK0,sK1) ),
inference(superposition,[status(thm)],[c_90303,c_134]) ).
tcf(c_91300,plain,
( sameside(sK3,sK1,sK0)
| s_t(sK3,sK1,sK0) ),
inference(superposition,[status(thm)],[c_90311,c_134]) ).
tcf(c_91421,plain,
( sameside(sK0,sK1,sK3)
| s_t(sK3,sK1,sK0) ),
inference(superposition,[status(thm)],[c_91300,c_136]) ).
tcf(c_91477,plain,
( sameside(sK0,sK2,sK1)
| s_t(sK1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_91295,c_136]) ).
tcf(c_91485,plain,
( sameside(sK0,sK3,sK1)
| s_t(sK1,sK3,sK0) ),
inference(superposition,[status(thm)],[c_91296,c_136]) ).
tcf(c_91493,plain,
( sameside(sK1,sK0,sK2)
| s_t(sK2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_91297,c_136]) ).
tcf(c_91501,plain,
( sameside(sK1,sK0,sK3)
| s_t(sK3,sK0,sK1) ),
inference(superposition,[status(thm)],[c_91298,c_136]) ).
tcf(c_92400,plain,
! [X0: $i] :
( s_t(sK3,sK1,sK0)
| sameside(sK0,sK1,X0)
| ~ sameside(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_91421,c_137]) ).
tcf(c_92405,plain,
! [X0: $i] :
( s_t(sK3,sK0,sK1)
| sameside(sK3,sK0,X0)
| ~ sameside(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_91298,c_137]) ).
tcf(c_92409,plain,
! [X0: $i] :
( s_t(sK3,sK1,sK0)
| sameside(sK3,sK1,X0)
| ~ sameside(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_91300,c_137]) ).
tcf(c_92410,plain,
! [X0: $i] :
( s_t(sK1,sK2,sK0)
| sameside(sK0,sK2,X0)
| ~ sameside(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_91477,c_137]) ).
tcf(c_92412,plain,
! [X0: $i] :
( s_t(sK1,sK3,sK0)
| sameside(sK0,sK3,X0)
| ~ sameside(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_91485,c_137]) ).
tcf(c_92414,plain,
! [X0: $i] :
( s_t(sK2,sK0,sK1)
| sameside(sK1,sK0,X0)
| ~ sameside(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_91493,c_137]) ).
tcf(c_92416,plain,
! [X0: $i] :
( s_t(sK3,sK0,sK1)
| sameside(sK1,sK0,X0)
| ~ sameside(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_91501,c_137]) ).
tcf(c_92900,plain,
! [X0: $i,X1: $i] :
( ( s(X1,X0) = X0 )
| ~ s_r(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_91244,c_69]) ).
tcf(c_93051,plain,
( sameside(sK3,sK0,sK3)
| s_t(sK3,sK0,sK1) ),
inference(superposition,[status(thm)],[c_91501,c_92405]) ).
tcf(c_93606,plain,
( sameside(sK3,sK1,sK3)
| s_t(sK3,sK1,sK0) ),
inference(superposition,[status(thm)],[c_91421,c_92409]) ).
tcf(c_123948,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,X0,X1)
| ( sK0 = sK1 )
| ( X0 = sK2 )
| ~ s_col(sK0,sK1,X1)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_5023,c_151]) ).
tcf(c_133004,plain,
( sameside(sK0,sK1,sK0)
| s_t(sK3,sK1,sK0) ),
inference(superposition,[status(thm)],[c_91300,c_92400]) ).
tcf(c_134040,plain,
( sameside(sK0,sK2,sK0)
| s_t(sK1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_91295,c_92410]) ).
tcf(c_134062,plain,
! [X0: $i] :
( s_col(sK2,sK3,X0)
| ( sK2 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_5022,c_123948]) ).
tcf(c_134265,plain,
( s_col(sK2,sK3,sK1)
| ( sK2 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_90293,c_134062]) ).
tcf(c_145124,plain,
( sameside(sK0,sK3,sK0)
| s_t(sK1,sK3,sK0) ),
inference(superposition,[status(thm)],[c_91296,c_92412]) ).
tcf(c_145156,plain,
( sameside(sK1,sK0,sK1)
| s_t(sK2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_91297,c_92414]) ).
tcf(c_148185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| ( sK0 = sK1 )
| ( X2 = sK2 )
| ( X0 = X1 )
| ~ s_col(sK0,sK1,X3)
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,sK2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_5023,c_152]) ).
tcf(c_148186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| ( sK0 = sK1 )
| ( X2 = sK3 )
| ( X0 = X1 )
| ~ s_col(sK0,sK1,X3)
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,sK3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_5022,c_152]) ).
tcf(c_154628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK0,sK1,X2,X0,X1)
| ( sK0 = sK1 )
| ( X2 = sK2 )
| ( X2 = X3 )
| ( X0 = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_r(sK2,X2,X3)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_5023,c_200]) ).
tcf(c_154629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK0,sK1,X2,X0,X1)
| ( sK0 = sK1 )
| ( X2 = sK3 )
| ( X2 = X3 )
| ( X0 = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_r(sK3,X2,X3)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_5022,c_200]) ).
tcf(c_158876,plain,
( sameside(sK1,sK0,sK1)
| s_t(sK3,sK0,sK1) ),
inference(superposition,[status(thm)],[c_91298,c_92416]) ).
tcf(c_159045,plain,
! [X0: $i] :
( s_col(sK2,sK3,X0)
| ( sK2 = sK3 )
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK3,sK2)
| ~ s_col(sK0,sK1,sK1)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_134265,c_148185]) ).
tcf(c_159128,plain,
! [X0: $i] :
( s_col(sK2,sK3,X0)
| ( sK2 = sK3 )
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159045,c_100,c_90293]) ).
tcf(c_165878,plain,
! [X0: $i] :
( s_col(sK2,sK3,X0)
| ( sK2 = sK3 )
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK3,sK3)
| ~ s_col(sK0,sK1,sK1)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_134265,c_148186]) ).
tcf(c_165957,plain,
! [X0: $i] :
( s_col(sK2,sK3,X0)
| ( sK2 = sK3 )
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_165878,c_90293,c_90293]) ).
tcf(c_172056,plain,
! [X0: $i] :
( perpAt(sK0,sK1,X0,sK2,sK3)
| ( sK2 = sK3 )
| ( sK0 = sK1 )
| ( X0 = sK2 )
| ( X0 = sK1 )
| ~ s_r(sK2,X0,sK1)
| ~ s_col(sK2,sK3,X0)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_134265,c_154628]) ).
tcf(c_179139,plain,
! [X0: $i] :
( perpAt(sK0,sK1,X0,sK2,sK3)
| ( sK2 = sK3 )
| ( sK0 = sK1 )
| ( X0 = sK3 )
| ( X0 = sK1 )
| ~ s_r(sK3,X0,sK1)
| ~ s_col(sK2,sK3,X0)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_134265,c_154629]) ).
tcf(c_247259,plain,
s_col(sK2,sK1,sK0),
inference(superposition,[status(thm)],[c_5023,c_96]) ).
tcf(c_247260,plain,
s_col(sK3,sK1,sK0),
inference(superposition,[status(thm)],[c_5022,c_96]) ).
tcf(c_247989,plain,
( s_col(sK2,sK3,sK1)
| s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_30027,c_223]) ).
tcf(c_248160,plain,
( s_col(sK2,sK3,sK1)
| s_t(sK0,sK1,sK2)
| s_t(sK0,sK1,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_247989,c_9876]) ).
tcf(c_248161,plain,
( s_col(sK2,sK3,sK1)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2) ),
inference(renaming,[status(thm)],[c_248160]) ).
tcf(c_248171,plain,
( s_col(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_248161,c_95]) ).
tcf(c_250047,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X2,X1,X0)
| ~ s_m(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_240,c_62]) ).
tcf(c_250249,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X0 )
| ~ s_r(s(X0,X1),X0,X1) ),
inference(superposition,[status(thm)],[c_182,c_186]) ).
tcf(c_251448,plain,
( sameside(sK0,sK1,sK3)
| s_t(sK0,sK1,sK3) ),
inference(superposition,[status(thm)],[c_5022,c_134]) ).
tcf(c_251454,plain,
( sameside(sK2,sK1,sK0)
| s_t(sK2,sK1,sK0) ),
inference(superposition,[status(thm)],[c_247259,c_134]) ).
tcf(c_251455,plain,
( sameside(sK3,sK1,sK0)
| s_t(sK3,sK1,sK0) ),
inference(superposition,[status(thm)],[c_247260,c_134]) ).
tcf(c_251478,plain,
( sameside(sK1,sK2,sK3)
| s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_248171,c_134]) ).
tcf(c_259367,plain,
! [X0: $i] :
( s_t(sK0,sK1,sK3)
| sameside(sK0,sK1,X0)
| ~ sameside(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_251448,c_137]) ).
tcf(c_259375,plain,
! [X0: $i] :
( s_t(sK2,sK1,sK0)
| sameside(sK2,sK1,X0)
| ~ sameside(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_251454,c_137]) ).
tcf(c_260353,plain,
( sameside(sK0,sK1,sK0)
| s_t(sK3,sK1,sK0)
| s_t(sK0,sK1,sK3) ),
inference(superposition,[status(thm)],[c_251455,c_259367]) ).
tcf(c_260393,plain,
( sameside(sK0,sK1,sK0)
| s_t(sK3,sK1,sK0) ),
inference(global_subsumption_just,[status(thm)],[c_260353,c_133004]) ).
tcf(c_262245,plain,
( sameside(sK2,sK1,sK0)
| s_t(sK3,sK1,sK0)
| s_t(sK2,sK1,sK0) ),
inference(superposition,[status(thm)],[c_260393,c_259375]) ).
tcf(c_297638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ~ s_m(X1,X3,X2)
| ~ s_t(X3,X1,X0)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_240,c_106]) ).
tcf(c_297643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ~ s_m(X2,X3,X1)
| ~ s_t(X3,X1,X0)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_250047,c_106]) ).
tcf(c_322685,plain,
! [X0: $i] :
( s_col(sK2,sK3,X0)
| ( sK2 = sK3 )
| ~ s_col(sK0,sK1,X0)
| ( sK0 = sK1 ) ),
inference(global_subsumption_just,[status(thm)],[c_159128,c_27754]) ).
tcf(c_322686,plain,
! [X0: $i] :
( s_col(sK2,sK3,X0)
| ( sK2 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(renaming,[status(thm)],[c_322685]) ).
tcf(c_322737,plain,
( s_col(sK2,sK3,sK1)
| ( sK2 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_7182,c_322686]) ).
tcf(c_322825,plain,
( s_col(sK3,sK1,sK2)
| ( sK2 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_322737,c_94]) ).
tcf(c_388603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| ( sK0 = sK1 )
| ( X2 = sK3 )
| ( X0 = X1 )
| ~ s_col(sK0,sK1,X3)
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,sK3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_5022,c_152]) ).
tcf(c_410368,plain,
! [X0: $i] :
( s_col(sK3,sK1,X0)
| ( sK2 = sK3 )
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK1,sK3)
| ~ s_col(sK0,sK1,sK2)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_322825,c_388603]) ).
tcf(c_410470,plain,
! [X0: $i] :
( s_col(sK3,sK1,X0)
| ( sK2 = sK3 )
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_410368,c_100,c_5023]) ).
tcf(c_479867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X3,X4,X5)
| ~ s_e(X0,ext(X1,X0,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_53,c_50]) ).
tcf(c_479886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,X3)
| ( X0 = X2 )
| ~ s_t(X2,X0,X5)
| ~ s_t(X0,X2,X4)
| ~ s_e(X2,X4,X0,X5)
| ~ s_e(X2,X1,X0,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_49,c_54]) ).
tcf(c_479887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X4,X7,X5)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X2,X3,X7)
| ~ s_e(X1,X4,X2,X5)
| ~ s_t(X1,ext(X0,X1,X2,X3),X6)
| ~ s_e(ext(X0,X1,X2,X3),X6,X3,X7)
| ~ s_e(ext(X0,X1,X2,X3),X4,X3,X5) ),
inference(superposition,[status(thm)],[c_53,c_54]) ).
tcf(c_479914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(X0,X1,X2,X1,X3) = X1 )
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_56,c_55]) ).
tcf(c_479924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(X0,X1,X2,X3,X0) = X0 )
| ~ s_t(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_55]) ).
tcf(c_479928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,X2)
| ( X0 = X3 )
| ~ s_t(X0,X3,X5)
| ~ s_t(X0,X3,X4)
| ~ s_e(X3,X4,X3,X5)
| ~ s_e(X3,X1,X3,X2)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_61,c_54]) ).
tcf(c_479942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_e(X0,X1,X2,ext(X3,X2,X0,X1)),
inference(superposition,[status(thm)],[c_53,c_62]) ).
tcf(c_479951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,ext(X5,X4,X0,X1),X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_53,c_63]) ).
tcf(c_479960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_e(ext(X0,X1,X2,X3),X1,X2,X3),
inference(superposition,[status(thm)],[c_53,c_64]) ).
tcf(c_479966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X3,X1,X2)
| ~ s_e(X0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_66,c_50]) ).
tcf(c_479974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_e(X0,ext(X1,X0,X2,X3),X3,X2),
inference(superposition,[status(thm)],[c_53,c_65]) ).
tcf(c_479987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X1,X0,X3)
| ~ s_t(X2,X0,X1)
| ~ s_t(X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_49,c_67]) ).
tcf(c_479988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X1,X4,X2,X5)
| ~ s_t(X2,X3,X5)
| ~ s_t(X1,ext(X0,X1,X2,X3),X4)
| ~ s_e(ext(X0,X1,X2,X3),X4,X3,X5) ),
inference(superposition,[status(thm)],[c_53,c_67]) ).
tcf(c_479989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X3,X2)
| ~ s_t(X3,X0,X2)
| ~ s_t(X3,X0,X1)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_61,c_67]) ).
tcf(c_480011,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,X1) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_49,c_68]) ).
tcf(c_480012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = ext(X2,X1,X3,X4) )
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_53,c_68]) ).
tcf(c_480013,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X1,X2) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_61,c_68]) ).
tcf(c_480014,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,X2) = X1 )
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_66,c_68]) ).
tcf(c_480015,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,X2) = X1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_480014,c_72]) ).
tcf(c_480032,plain,
! [X0: $i,X1: $i,X2: $i] : ext(X0,X1,X2,X2) = X1,
inference(superposition,[status(thm)],[c_53,c_69]) ).
tcf(c_480040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_e(ext(X0,X1,X2,X3),X1,X3,X2),
inference(superposition,[status(thm)],[c_53,c_70]) ).
tcf(c_480053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X2,X3)
| ~ s_t(X3,X0,X1)
| ~ s_t(X2,X0,X3)
| ~ s_e(X0,X1,X2,X0) ),
inference(superposition,[status(thm)],[c_49,c_71]) ).
tcf(c_480054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X1,X4,X5,X3)
| ~ s_t(X5,X2,X3)
| ~ s_t(X1,ext(X0,X1,X2,X3),X4)
| ~ s_e(ext(X0,X1,X2,X3),X4,X5,X2) ),
inference(superposition,[status(thm)],[c_53,c_71]) ).
tcf(c_480055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X2,X0)
| ~ s_t(X3,X0,X1)
| ~ s_t(X2,X3,X0)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_61,c_71]) ).
tcf(c_480073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(ext(X0,X1,X2,X3),X1,X0),
inference(superposition,[status(thm)],[c_52,c_73]) ).
tcf(c_480074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,ip(X0,X1,X2,X3,X4),X1)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_56,c_73]) ).
tcf(c_480075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ip(X0,X1,X2,X3,X4),X4)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_73]) ).
tcf(c_480090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ~ s_t(X0,X1,ext(X1,X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_52,c_75]) ).
tcf(c_480091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X1,X3) ),
inference(superposition,[status(thm)],[c_56,c_75]) ).
tcf(c_480092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X4,X0) ),
inference(superposition,[status(thm)],[c_57,c_75]) ).
tcf(c_480111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,X1)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_52,c_76]) ).
tcf(c_480112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_56,c_76]) ).
tcf(c_480113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_57,c_76]) ).
tcf(c_480114,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,X1)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_72,c_76]) ).
tcf(c_480134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(X0,X1,X2,X3),X4)
| ~ s_t(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_52,c_77]) ).
tcf(c_480135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ip(X0,X1,X2,X3,X5),X3,X4)
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_56,c_77]) ).
tcf(c_480136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X0,X5)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_77]) ).
tcf(c_480137,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_77]) ).
tcf(c_480157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(X1,X0,X2,X3),X4)
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_52,c_78]) ).
tcf(c_480158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X3,X5)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_56,c_78]) ).
tcf(c_480159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X0,X5)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_57,c_78]) ).
tcf(c_480181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ext(X2,X0,X3,X4))
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_52,c_79]) ).
tcf(c_480182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_56,c_79]) ).
tcf(c_480183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_57,c_79]) ).
tcf(c_480184,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,X0)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_72,c_79]) ).
tcf(c_480204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X1,X4)
| ~ s_t(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_52,c_80]) ).
tcf(c_480205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X5),X4)
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_56,c_80]) ).
tcf(c_480206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),X5)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_80]) ).
tcf(c_480208,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_74,c_80]) ).
tcf(c_480227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,X4)
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_52,c_81]) ).
tcf(c_480228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),X5)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_56,c_81]) ).
tcf(c_480229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),X5)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_57,c_81]) ).
tcf(c_480231,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X0,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_74,c_81]) ).
tcf(c_480254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(X0,X1,X2,X3,X4,X2) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_55]) ).
tcf(c_480255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),X6)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_87,c_81]) ).
tcf(c_480256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_80]) ).
tcf(c_480257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,X6,X2)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_87,c_79]) ).
tcf(c_480258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,X2,X6)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_87,c_78]) ).
tcf(c_480259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(crossbar(X0,X1,X2,X4,X6,X3),X2,X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_77]) ).
tcf(c_480260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_87,c_76]) ).
tcf(c_480261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X0,X1,X2,X3,X4,X5) = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X5,X2) ),
inference(superposition,[status(thm)],[c_87,c_75]) ).
tcf(c_480262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,crossbar(X0,X1,X2,X4,X5,X3),X3)
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_73]) ).
tcf(c_480316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(X0,X1,X2,X4,X1,X3) = X1 )
| ~ s_t(X4,X1,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_55]) ).
tcf(c_480317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),X6)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_88,c_81]) ).
tcf(c_480318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_80]) ).
tcf(c_480319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X6,X4)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_88,c_79]) ).
tcf(c_480320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X4,X6)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_88,c_78]) ).
tcf(c_480321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(crossbar(X0,X1,X2,X4,X5,X3),X5,X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_77]) ).
tcf(c_480322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_88,c_76]) ).
tcf(c_480323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X0,X1,X2,X3,X4,X5) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X1,X4) ),
inference(superposition,[status(thm)],[c_88,c_75]) ).
tcf(c_480324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,crossbar(X0,X1,X2,X4,X5,X3),X1)
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_73]) ).
tcf(c_480380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X0,X1,X2)
| ~ s_t(X3,X0,X1)
| ~ s_t(X1,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_49,c_90]) ).
tcf(c_480381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X0,X3,X5)
| ~ s_t(X3,X5,X4)
| ~ s_t(X2,X0,ext(X1,X2,X3,X4))
| ~ s_e(X0,ext(X1,X2,X3,X4),X5,X4) ),
inference(superposition,[status(thm)],[c_53,c_90]) ).
tcf(c_480382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X0,X3,X2)
| ~ s_t(X3,X2,X1)
| ~ s_t(X3,X0,X1)
| ~ s_e(X0,X1,X2,X1) ),
inference(superposition,[status(thm)],[c_61,c_90]) ).
tcf(c_480383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X0,X3,X2)
| ~ s_t(X3,X2,X3)
| ~ s_t(X1,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_66,c_90]) ).
tcf(c_480406,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,ext(ext(X0,X2,alpha,gamma),X2,X0,X1),X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_49,c_91]) ).
tcf(c_480407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X0,X1),X4)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_53,c_91]) ).
tcf(c_480408,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,ext(ext(X2,X0,alpha,gamma),X0,X0,X1),X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_61,c_91]) ).
tcf(c_480409,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,ext(ext(X2,X2,alpha,gamma),X2,X0,X1),X2)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_66,c_91]) ).
tcf(c_480443,plain,
s_col(sK1,sK2,sK0),
inference(superposition,[status(thm)],[c_5023,c_94]) ).
tcf(c_480444,plain,
s_col(sK1,sK3,sK0),
inference(superposition,[status(thm)],[c_5022,c_94]) ).
tcf(c_480452,plain,
s_col(sK2,sK0,sK1),
inference(superposition,[status(thm)],[c_5023,c_95]) ).
tcf(c_480453,plain,
s_col(sK3,sK0,sK1),
inference(superposition,[status(thm)],[c_5022,c_95]) ).
tcf(c_480461,plain,
s_col(sK2,sK1,sK0),
inference(superposition,[status(thm)],[c_5023,c_96]) ).
tcf(c_480462,plain,
s_col(sK3,sK1,sK0),
inference(superposition,[status(thm)],[c_5022,c_96]) ).
tcf(c_480464,plain,
s_col(sK0,sK2,sK1),
inference(superposition,[status(thm)],[c_480443,c_96]) ).
tcf(c_480467,plain,
s_col(sK0,sK3,sK1),
inference(superposition,[status(thm)],[c_480444,c_96]) ).
tcf(c_480476,plain,
s_col(sK1,sK0,sK2),
inference(superposition,[status(thm)],[c_5023,c_97]) ).
tcf(c_480477,plain,
s_col(sK1,sK0,sK3),
inference(superposition,[status(thm)],[c_5022,c_97]) ).
tcf(c_480498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X4),X3)
| ~ s_col(X0,X4,X1)
| ~ s_t(X0,X4,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_92,c_101]) ).
tcf(c_480519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X2,X3,insert5(X0,X1,X4,X2,X3))
| ~ s_col(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_102,c_101]) ).
tcf(c_480520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X3,insert5(X0,X1,X4,X2,X3))
| ~ s_col(X0,X1,X4)
| ~ s_t(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_102,c_93]) ).
tcf(c_480539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,ext(X1,X2,X2,X3),X4,X3)
| ( X0 = X2 )
| ~ s_col(X2,X0,X4)
| ~ s_e(X0,ext(X1,X2,X2,X3),X0,X3) ),
inference(superposition,[status(thm)],[c_53,c_104]) ).
tcf(c_480540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X3,X1)
| ( X0 = X2 )
| ~ s_col(X2,X0,X3)
| ~ s_e(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_61,c_104]) ).
tcf(c_480541,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X1,X2,X1)
| ( X0 = X1 )
| ~ s_col(X1,X0,X2)
| ~ s_e(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_66,c_104]) ).
tcf(c_480557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( ext(X1,X2,X2,X3) = X3 )
| ~ s_col(X2,X0,ext(X1,X2,X2,X3))
| ~ s_e(X0,ext(X1,X2,X2,X3),X0,X3) ),
inference(superposition,[status(thm)],[c_53,c_105]) ).
tcf(c_480583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X1,X2,X2,X3) = X3 )
| ~ s_t(X2,ext(X1,X2,X2,X3),X0)
| ~ s_e(X0,ext(X1,X2,X2,X3),X0,X3) ),
inference(superposition,[status(thm)],[c_53,c_106]) ).
tcf(c_480599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,ext(X0,X1,X3,X4))
| s_t(X0,ext(X0,X1,X3,X4),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_107]) ).
tcf(c_480600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,X3)
| s_t(X0,X3,X5)
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_56,c_107]) ).
tcf(c_480601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,X1)
| s_t(X0,X1,X5)
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_57,c_107]) ).
tcf(c_480604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X6,X3)
| s_t(X0,X3,X6)
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_87,c_107]) ).
tcf(c_480605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X6,X4)
| s_t(X0,X4,X6)
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_88,c_107]) ).
tcf(c_480646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,ext(X0,X1,X3,X4))
| s_t(X1,ext(X0,X1,X3,X4),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_108]) ).
tcf(c_480647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ip(X1,X0,X2,X3,X4),X5,X3)
| s_t(ip(X1,X0,X2,X3,X4),X3,X5)
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_56,c_108]) ).
tcf(c_480648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ip(X1,X2,X3,X4,X0),X5,X1)
| s_t(ip(X1,X2,X3,X4,X0),X1,X5)
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_57,c_108]) ).
tcf(c_480649,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X2,X1)
| s_t(X1,X1,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_108]) ).
tcf(c_480651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(crossbar(X1,X2,X3,X4,X5,X0),X6,X3)
| s_t(crossbar(X1,X2,X3,X4,X5,X0),X3,X6)
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_87,c_108]) ).
tcf(c_480652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(crossbar(X1,X0,X2,X3,X4,X5),X6,X4)
| s_t(crossbar(X1,X0,X2,X3,X4,X5),X4,X6)
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_88,c_108]) ).
tcf(c_480701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,X1)
| s_t(X0,X1,X2)
| ~ s_t(X0,X1,ext(X0,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_52,c_109]) ).
tcf(c_480702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X3,ip(X0,X1,X2,X4,X5))
| s_t(X1,ip(X0,X1,X2,X4,X5),X3)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_56,c_109]) ).
tcf(c_480703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X5,ip(X0,X1,X2,X3,X4))
| s_t(X4,ip(X0,X1,X2,X3,X4),X5)
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_109]) ).
tcf(c_480706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X5,crossbar(X0,X1,X2,X4,X6,X3))
| s_t(X3,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_109]) ).
tcf(c_480707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X5,crossbar(X0,X1,X2,X4,X6,X3))
| s_t(X1,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_109]) ).
tcf(c_480737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,X1)
| s_t(X0,X1,X4)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_110,c_109]) ).
tcf(c_480738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X4,ins(X2,X3,X0,X1))
| s_t(X1,ins(X2,X3,X0,X1),X4)
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_110,c_108]) ).
tcf(c_480739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,ins(X2,X3,X0,X1))
| s_t(X0,ins(X2,X3,X0,X1),X4)
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_110,c_107]) ).
tcf(c_480740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X0,X4)
| ( ins(X1,X2,X3,X0) = X0 )
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_110,c_81]) ).
tcf(c_480741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X3,X4)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_110,c_80]) ).
tcf(c_480742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,ins(X2,X3,X4,X0))
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_110,c_79]) ).
tcf(c_480743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,ins(X1,X2,X3,X0),X4)
| ( ins(X1,X2,X3,X0) = X0 )
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_110,c_78]) ).
tcf(c_480744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,ins(X1,X2,X0,X3),X4)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_110,c_77]) ).
tcf(c_480745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,X1)
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_110,c_76]) ).
tcf(c_480746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ~ le(X1,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X0)) ),
inference(superposition,[status(thm)],[c_110,c_75]) ).
tcf(c_480747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ins(X2,X3,X0,X1),X1,X0)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_110,c_73]) ).
tcf(c_480791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_111,c_91]) ).
tcf(c_480792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X3,X0,X1,X5)
| ~ s_t(X1,X5,X2)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X3,X0,ins(X1,X2,X3,X4))
| ~ s_e(X0,ins(X1,X2,X3,X4),X5,X2) ),
inference(superposition,[status(thm)],[c_111,c_90]) ).
tcf(c_480793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X4,X5,X1)
| ~ s_t(X5,X0,X1)
| ~ le(X2,X3,X0,X1)
| ~ s_t(X2,ins(X0,X1,X2,X3),X4)
| ~ s_e(ins(X0,X1,X2,X3),X4,X5,X0) ),
inference(superposition,[status(thm)],[c_111,c_71]) ).
tcf(c_480794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(ins(X2,X3,X0,X1),X0,X3,X2)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_111,c_70]) ).
tcf(c_480795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = ins(X2,X3,X1,X4) )
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_111,c_68]) ).
tcf(c_480796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X4,X0,X5)
| ~ s_t(X0,X1,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_t(X2,ins(X0,X1,X2,X3),X4)
| ~ s_e(ins(X0,X1,X2,X3),X4,X1,X5) ),
inference(superposition,[status(thm)],[c_111,c_67]) ).
tcf(c_480797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ins(X2,X3,X0,X1),X3,X2)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_111,c_65]) ).
tcf(c_480798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(ins(X2,X3,X0,X1),X0,X2,X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_111,c_64]) ).
tcf(c_480799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,ins(X0,X1,X4,X5),X2,X3)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_111,c_63]) ).
tcf(c_480800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,X0,ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_111,c_62]) ).
tcf(c_480801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X4,X7,X5)
| ( ins(X0,X1,X2,X3) = X2 )
| ~ s_t(X0,X1,X7)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X4,X0,X5)
| ~ s_t(X2,ins(X0,X1,X2,X3),X6)
| ~ s_e(ins(X0,X1,X2,X3),X6,X1,X7)
| ~ s_e(ins(X0,X1,X2,X3),X4,X1,X5) ),
inference(superposition,[status(thm)],[c_111,c_54]) ).
tcf(c_480802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X1,X2,X4,X5)
| ~ le(X0,X3,X1,X2)
| ~ s_e(X0,ins(X1,X2,X0,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_111,c_50]) ).
tcf(c_480803,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ins(X2,X2,X0,X1) = X0 )
| ~ le(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_111,c_69]) ).
tcf(c_480804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ins(X1,X2,X1,X3) = X2 )
| ~ le(X1,X3,X1,X2)
| ~ s_t(X1,ins(X1,X2,X1,X3),X0)
| ~ s_e(X0,ins(X1,X2,X1,X3),X0,X2) ),
inference(superposition,[status(thm)],[c_111,c_106]) ).
tcf(c_480805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ins(X1,X2,X1,X3) = X2 )
| ~ le(X1,X3,X1,X2)
| ~ s_col(X1,X0,ins(X1,X2,X1,X3))
| ~ s_e(X0,ins(X1,X2,X1,X3),X0,X2) ),
inference(superposition,[status(thm)],[c_111,c_105]) ).
tcf(c_480806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,ins(X1,X2,X1,X3),X4,X2)
| ( X0 = X1 )
| ~ s_col(X1,X0,X4)
| ~ le(X1,X3,X1,X2)
| ~ s_e(X0,ins(X1,X2,X1,X3),X0,X2) ),
inference(superposition,[status(thm)],[c_111,c_104]) ).
tcf(c_480881,plain,
! [X0: $i,X1: $i] : ext(X0,X1,ext(ext(X1,X0,alpha,gamma),X0,X0,X1),X1) = ins(X0,X1,X0,X1),
inference(superposition,[status(thm)],[c_115,c_112]) ).
tcf(c_480882,plain,
! [X0: $i,X1: $i,X2: $i] : ext(X0,X0,ext(ext(X1,X2,alpha,gamma),X2,X0,X0),X1) = ins(X2,X1,X0,X0),
inference(superposition,[status(thm)],[c_119,c_112]) ).
tcf(c_480889,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,X2,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_49,c_113]) ).
tcf(c_480890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,X3,X4)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_53,c_113]) ).
tcf(c_480892,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,X2,X2)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_66,c_113]) ).
tcf(c_480893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,X2,X3)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_111,c_113]) ).
tcf(c_480911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X5,X4,X2,X3)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_49,c_114]) ).
tcf(c_480912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X2,X3,X6,X7)
| ~ s_e(X4,X5,X6,X7)
| ~ le(X0,ext(X1,X0,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_53,c_114]) ).
tcf(c_480913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X4,X5,X2,X3)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_61,c_114]) ).
tcf(c_480914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X5,X5,X2,X3)
| ~ le(X4,X4,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_66,c_114]) ).
tcf(c_480915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X1,X2,X6,X7)
| ~ le(X0,X3,X1,X2)
| ~ s_e(X4,X5,X6,X7)
| ~ le(X0,ins(X1,X2,X0,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_111,c_114]) ).
tcf(c_480929,plain,
! [X0: $i,X1: $i] : s_m(s(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_161,c_158]) ).
tcf(c_480939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X4,X4,X2,X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_119,c_116]) ).
tcf(c_480947,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X2,X0,X1)
| ~ le(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_119,c_117]) ).
tcf(c_480958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X4,X5,X2,X3)
| le(X0,X1,X4,X5)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_118,c_116]) ).
tcf(c_480959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X3,X2,X0,X1)
| ( ext(X0,X1,ext(ext(X2,X3,alpha,gamma),X3,X0,X1),X2) = ins(X3,X2,X0,X1) ) ),
inference(superposition,[status(thm)],[c_118,c_112]) ).
tcf(c_480982,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(X2,X0,X0,X1) = X1 )
| ~ s_t(X0,X1,ext(X2,X0,X0,X1)) ),
inference(superposition,[status(thm)],[c_53,c_122]) ).
tcf(c_480985,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ins(X0,X1,X0,X2) = X1 )
| ~ le(X0,X2,X0,X1)
| ~ s_t(X0,X1,ins(X0,X1,X0,X2)) ),
inference(superposition,[status(thm)],[c_111,c_122]) ).
tcf(c_481000,plain,
! [X0: $i,X1: $i] :
( s_t(X1,X0,X0)
| ~ s_col(X1,X0,X0)
| ~ le(X0,X0,X1,X0) ),
inference(superposition,[status(thm)],[c_115,c_123]) ).
tcf(c_481001,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,X1)
| le(X2,X1,X2,X0)
| ~ s_col(X2,X0,X1)
| ~ le(X0,X1,X2,X1) ),
inference(superposition,[status(thm)],[c_118,c_123]) ).
tcf(c_481019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ext(X0,X1,X3,X4))
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_125]) ).
tcf(c_481020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ip(X1,X0,X2,X3,X4),X3)
| ( ip(X1,X0,X2,X3,X4) = X5 )
| ( ip(X1,X0,X2,X3,X4) = X3 )
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ sameside(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_56,c_125]) ).
tcf(c_481021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X0),X1)
| ( ip(X1,X2,X3,X4,X0) = X5 )
| ( ip(X1,X2,X3,X4,X0) = X1 )
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_57,c_125]) ).
tcf(c_481024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,crossbar(X1,X2,X3,X4,X5,X0),X3)
| ( crossbar(X1,X2,X3,X4,X5,X0) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X0) = X3 )
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_87,c_125]) ).
tcf(c_481025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,crossbar(X1,X0,X2,X3,X4,X5),X4)
| ( crossbar(X1,X0,X2,X3,X4,X5) = X6 )
| ( crossbar(X1,X0,X2,X3,X4,X5) = X4 )
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ sameside(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_88,c_125]) ).
tcf(c_481026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,ins(X2,X3,X0,X1))
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ sameside(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_110,c_125]) ).
tcf(c_481084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X1,c63(X0,X1,X2))
| ( X1 = X3 )
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X0,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_129,c_125]) ).
tcf(c_481085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X2,X1)
| s_t(X0,X1,X2)
| ~ sameside(X0,X2,X3)
| ~ s_t(X0,X1,c63(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_129,c_109]) ).
tcf(c_481086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X2,c63(X0,X1,X3))
| s_t(X1,c63(X0,X1,X3),X2)
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_129,c_108]) ).
tcf(c_481087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X2,c63(X0,X1,X3))
| s_t(X0,c63(X0,X1,X3),X2)
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_129,c_107]) ).
tcf(c_481088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,X3)
| ( c63(X1,X0,X2) = X0 )
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_129,c_81]) ).
tcf(c_481089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,X3)
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_129,c_80]) ).
tcf(c_481090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X1,c63(X2,X0,X3))
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_129,c_79]) ).
tcf(c_481091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,c63(X1,X0,X2),X3)
| ( c63(X1,X0,X2) = X0 )
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_129,c_78]) ).
tcf(c_481092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,c63(X0,X1,X2),X3)
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_129,c_77]) ).
tcf(c_481093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X0,X1)
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_129,c_76]) ).
tcf(c_481094,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,X1,c63(X1,X0,X2)) ),
inference(superposition,[status(thm)],[c_129,c_75]) ).
tcf(c_481095,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(c63(X0,X1,X2),X1,X0)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_129,c_73]) ).
tcf(c_481145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X1,c63(X0,X1,X2))
| ( X1 = X3 )
| ( X1 = X2 )
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_130,c_125]) ).
tcf(c_481146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X3,X1)
| s_t(X0,X1,X3)
| ~ sameside(X2,X3,X0)
| ~ s_t(X0,X1,c63(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_130,c_109]) ).
tcf(c_481147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X2,c63(X3,X1,X0))
| s_t(X1,c63(X3,X1,X0),X2)
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_130,c_108]) ).
tcf(c_481148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X2,c63(X3,X1,X0))
| s_t(X0,c63(X3,X1,X0),X2)
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_130,c_107]) ).
tcf(c_481149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X0,X3)
| ( c63(X1,X0,X2) = X0 )
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_130,c_81]) ).
tcf(c_481150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X2,X3)
| ~ sameside(X1,X2,X0)
| ~ s_t(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_130,c_80]) ).
tcf(c_481151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X1,c63(X2,X0,X3))
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_130,c_79]) ).
tcf(c_481152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,c63(X1,X0,X2),X3)
| ( c63(X1,X0,X2) = X0 )
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_130,c_78]) ).
tcf(c_481153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,c63(X1,X2,X0),X3)
| ~ sameside(X1,X2,X0)
| ~ s_t(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_130,c_77]) ).
tcf(c_481154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X0,X1)
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_130,c_76]) ).
tcf(c_481155,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ sameside(X2,X0,X1)
| ~ s_t(X0,X1,c63(X2,X0,X1)) ),
inference(superposition,[status(thm)],[c_130,c_75]) ).
tcf(c_481156,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(c63(X0,X1,X2),X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_130,c_73]) ).
tcf(c_481222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_52,c_131]) ).
tcf(c_481223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X2,ip(X1,X2,X3,X4,X5),X0)
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_56,c_131]) ).
tcf(c_481224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X5,ip(X1,X2,X3,X4,X5),X0)
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_57,c_131]) ).
tcf(c_481227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X6,crossbar(X1,X2,X3,X4,X5,X6),X0)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_87,c_131]) ).
tcf(c_481228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X2,crossbar(X1,X2,X3,X4,X5,X6),X0)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_88,c_131]) ).
tcf(c_481229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,X1,X0)
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X4,X1) = X1 )
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_110,c_131]) ).
tcf(c_481230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X2,X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( c63(X2,X1,X3) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_129,c_131]) ).
tcf(c_481231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X3,X1,X0)
| ( X1 = X3 )
| ( X0 = X1 )
| ( c63(X2,X1,X3) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_130,c_131]) ).
tcf(c_481290,plain,
( s_col(sK3,sK1,sK3)
| s_t(sK3,sK1,sK0) ),
inference(superposition,[status(thm)],[c_93606,c_132]) ).
tcf(c_481291,plain,
( s_col(sK3,sK0,sK3)
| s_t(sK3,sK0,sK1) ),
inference(superposition,[status(thm)],[c_93051,c_132]) ).
tcf(c_481292,plain,
( s_col(sK0,sK3,sK0)
| s_t(sK1,sK3,sK0) ),
inference(superposition,[status(thm)],[c_145124,c_132]) ).
tcf(c_481293,plain,
( s_col(sK0,sK2,sK0)
| s_t(sK1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_134040,c_132]) ).
tcf(c_481294,plain,
( s_col(sK1,sK0,sK1)
| s_t(sK3,sK0,sK1) ),
inference(superposition,[status(thm)],[c_158876,c_132]) ).
tcf(c_481295,plain,
( s_col(sK1,sK0,sK1)
| s_t(sK2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_145156,c_132]) ).
tcf(c_481300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ sameside(X0,X1,ext(X0,X1,X2,X3)),
inference(superposition,[status(thm)],[c_52,c_133]) ).
tcf(c_481301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ sameside(X0,ip(X1,X0,X2,X3,X4),X3) ),
inference(superposition,[status(thm)],[c_56,c_133]) ).
tcf(c_481302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X0),X1) ),
inference(superposition,[status(thm)],[c_57,c_133]) ).
tcf(c_481305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X0),X3) ),
inference(superposition,[status(thm)],[c_87,c_133]) ).
tcf(c_481306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ sameside(X0,crossbar(X1,X0,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_88,c_133]) ).
tcf(c_481307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ le(X0,X1,X2,X3)
| ~ sameside(X0,X1,ins(X2,X3,X0,X1)) ),
inference(superposition,[status(thm)],[c_110,c_133]) ).
tcf(c_481308,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ sameside(X0,X1,X2)
| ~ sameside(X0,X1,c63(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_129,c_133]) ).
tcf(c_481309,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ sameside(X2,X1,X0)
| ~ sameside(X0,X1,c63(X2,X1,X0)) ),
inference(superposition,[status(thm)],[c_130,c_133]) ).
tcf(c_481332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e3(X0,X0,X1,X2,X2,X3)
| ~ s_t(X0,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480032,c_92]) ).
tcf(c_481333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e3(X0,X0,X1,X2,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_481332,c_74]) ).
tcf(c_481337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ sameside(ext(X0,X1,X2,X3),X1,X0),
inference(superposition,[status(thm)],[c_480073,c_133]) ).
tcf(c_481338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(ext(X2,X1,X3,X4),X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480073,c_131]) ).
tcf(c_481339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,X0)
| ( X1 = X4 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ sameside(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_480073,c_125]) ).
tcf(c_481340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X0,X1,X2,X3),X4,X1)
| s_t(ext(X0,X1,X2,X3),X1,X4)
| ~ s_t(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_480073,c_109]) ).
tcf(c_481341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X4,X0)
| s_t(X1,X0,X4)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_480073,c_108]) ).
tcf(c_481342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X0,X1,X2,X3),X4,X0)
| s_t(ext(X0,X1,X2,X3),X0,X4)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_480073,c_107]) ).
tcf(c_481343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X1,X0,X3,X4),X0,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480073,c_81]) ).
tcf(c_481344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X0,X1,X2,X3),X1,X4)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_480073,c_80]) ).
tcf(c_481345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X2,X0,X3,X4),X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480073,c_79]) ).
tcf(c_481346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X1,X0,X3,X4),X1,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480073,c_78]) ).
tcf(c_481347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,X4)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_480073,c_77]) ).
tcf(c_481348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X2,X0,X3,X4),X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480073,c_76]) ).
tcf(c_481349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X0,ext(X1,X0,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_480073,c_75]) ).
tcf(c_481403,plain,
! [X0: $i,X1: $i] :
( sameside(X0,X1,X0)
| s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_100,c_134]) ).
tcf(c_481404,plain,
( sameside(sK0,sK1,sK2)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_5023,c_134]) ).
tcf(c_481405,plain,
( sameside(sK0,sK1,sK3)
| s_t(sK0,sK1,sK3) ),
inference(superposition,[status(thm)],[c_5022,c_134]) ).
tcf(c_481407,plain,
( sameside(sK1,sK2,sK0)
| s_t(sK1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_480443,c_134]) ).
tcf(c_481408,plain,
( sameside(sK1,sK3,sK0)
| s_t(sK1,sK3,sK0) ),
inference(superposition,[status(thm)],[c_480444,c_134]) ).
tcf(c_481409,plain,
( sameside(sK2,sK0,sK1)
| s_t(sK2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_480452,c_134]) ).
tcf(c_481410,plain,
( sameside(sK3,sK0,sK1)
| s_t(sK3,sK0,sK1) ),
inference(superposition,[status(thm)],[c_480453,c_134]) ).
tcf(c_481411,plain,
( sameside(sK2,sK1,sK0)
| s_t(sK2,sK1,sK0) ),
inference(superposition,[status(thm)],[c_480461,c_134]) ).
tcf(c_481412,plain,
( sameside(sK3,sK1,sK0)
| s_t(sK3,sK1,sK0) ),
inference(superposition,[status(thm)],[c_480462,c_134]) ).
tcf(c_481413,plain,
( sameside(sK0,sK2,sK1)
| s_t(sK0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_480464,c_134]) ).
tcf(c_481414,plain,
( sameside(sK0,sK3,sK1)
| s_t(sK0,sK3,sK1) ),
inference(superposition,[status(thm)],[c_480467,c_134]) ).
tcf(c_481415,plain,
( sameside(sK1,sK0,sK2)
| s_t(sK1,sK0,sK2) ),
inference(superposition,[status(thm)],[c_480476,c_134]) ).
tcf(c_481416,plain,
( sameside(sK1,sK0,sK3)
| s_t(sK1,sK0,sK3) ),
inference(superposition,[status(thm)],[c_480477,c_134]) ).
tcf(c_481482,plain,
! [X0: $i] : s_t(X0,X0,X0),
inference(superposition,[status(thm)],[c_481403,c_234]) ).
tcf(c_481488,plain,
! [X0: $i] :
( s_t(sK0,sK1,sK2)
| sameside(sK0,sK1,X0)
| ~ sameside(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_481404,c_137]) ).
tcf(c_481489,plain,
( sameside(sK2,sK1,sK0)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_481404,c_136]) ).
tcf(c_481509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(ext(ext(X0,X1,alpha,gamma),X1,X3,X4),X1,X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_138,c_137]) ).
tcf(c_481510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,ext(ext(X0,X1,alpha,gamma),X1,X2,X3))
| ( X2 = X3 )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_138,c_136]) ).
tcf(c_481511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X0)
| ( X2 = X3 )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_138,c_132]) ).
tcf(c_481537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = X3 )
| ( X0 = X2 )
| ~ sameside(X2,X0,X3)
| ~ sameside(X1,X0,X3)
| ~ s_e(X0,X1,X2,X0) ),
inference(superposition,[status(thm)],[c_49,c_140]) ).
tcf(c_481538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X3 )
| ( X1 = X4 )
| ( ext(X0,X1,X2,X3) = X5 )
| ~ sameside(X5,X1,X4)
| ~ s_e(X1,X5,X2,X3)
| ~ sameside(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_53,c_140]) ).
tcf(c_481539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = X3 )
| ( X0 = X2 )
| ~ sameside(X2,X0,X3)
| ~ sameside(X1,X0,X3)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_61,c_140]) ).
tcf(c_481541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X4 )
| ( X0 = X1 )
| ( ins(X0,X1,X2,X3) = X5 )
| ~ sameside(X5,X2,X4)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X5,X0,X1)
| ~ sameside(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_111,c_140]) ).
tcf(c_481574,plain,
! [X0: $i,X1: $i] :
( s_t(X1,X0,X0)
| ~ sameside(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_115,c_141]) ).
tcf(c_481575,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X0,X2)
| le(X1,X2,X1,X0)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_118,c_141]) ).
tcf(c_481586,plain,
! [X0: $i] :
( s_t(sK0,sK1,sK3)
| sameside(sK0,sK1,X0)
| ~ sameside(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_481405,c_137]) ).
tcf(c_481587,plain,
( sameside(sK3,sK1,sK0)
| s_t(sK0,sK1,sK3) ),
inference(superposition,[status(thm)],[c_481405,c_136]) ).
tcf(c_481600,plain,
! [X0: $i] :
( s_t(sK1,sK2,sK0)
| sameside(sK1,sK2,X0)
| ~ sameside(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_481407,c_137]) ).
tcf(c_481601,plain,
( sameside(sK0,sK2,sK1)
| s_t(sK1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_481407,c_136]) ).
tcf(c_481624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,ext(X2,X1,X3,X4))
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_143]) ).
tcf(c_481625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,ip(X1,X2,X3,X4,X5),X4)
| sameside(X0,ip(X1,X2,X3,X4,X5),X2)
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_col(X0,ip(X1,X2,X3,X4,X5),X2) ),
inference(superposition,[status(thm)],[c_56,c_143]) ).
tcf(c_481626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,ip(X1,X2,X3,X4,X5),X5)
| sameside(X0,ip(X1,X2,X3,X4,X5),X1)
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_col(X0,ip(X1,X2,X3,X4,X5),X5) ),
inference(superposition,[status(thm)],[c_57,c_143]) ).
tcf(c_481629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X6)
| sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_col(X0,crossbar(X1,X2,X3,X4,X5,X6),X6) ),
inference(superposition,[status(thm)],[c_87,c_143]) ).
tcf(c_481630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X5)
| sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X2)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_col(X0,crossbar(X1,X2,X3,X4,X5,X6),X2) ),
inference(superposition,[status(thm)],[c_88,c_143]) ).
tcf(c_481631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,X1,X0)
| sameside(X4,X1,ins(X2,X3,X0,X1))
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ s_col(X4,X1,X0)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_110,c_143]) ).
tcf(c_481632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,c63(X2,X1,X3))
| ( X1 = X2 )
| ( X0 = X1 )
| ( c63(X2,X1,X3) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_129,c_143]) ).
tcf(c_481633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,c63(X3,X1,X2))
| ( X1 = X2 )
| ( X0 = X1 )
| ( c63(X3,X1,X2) = X1 )
| ~ sameside(X3,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_130,c_143]) ).
tcf(c_481634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,ext(X2,X1,X3,X4))
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ s_col(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480073,c_143]) ).
tcf(c_481726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X2)
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_52,c_145]) ).
tcf(c_481727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,ip(X1,X2,X3,X4,X5),X2)
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_56,c_145]) ).
tcf(c_481728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,ip(X1,X2,X3,X4,X5),X5)
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_57,c_145]) ).
tcf(c_481731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,crossbar(X1,X2,X3,X4,X5,X6),X6)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_87,c_145]) ).
tcf(c_481732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,crossbar(X1,X2,X3,X4,X5,X6),X2)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_88,c_145]) ).
tcf(c_481733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X1 = X4 )
| ( ins(X2,X3,X4,X1) = X1 )
| ~ le(X4,X1,X2,X3)
| ~ sameside(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_110,c_145]) ).
tcf(c_481734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X2)
| ( X1 = X2 )
| ( c63(X2,X1,X3) = X1 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_129,c_145]) ).
tcf(c_481735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| ( X1 = X3 )
| ( c63(X2,X1,X3) = X1 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_130,c_145]) ).
tcf(c_481736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,ext(X2,X1,X3,X4))
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480073,c_145]) ).
tcf(c_481802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,ext(X2,X1,X3,X4))
| s_t(X0,X2,ext(X2,X1,X3,X4))
| ( ext(X2,X1,X3,X4) = X1 )
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_52,c_147]) ).
tcf(c_481803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X0,X4)
| s_t(X0,X2,X4)
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_56,c_147]) ).
tcf(c_481804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,X1)
| s_t(X0,X5,X1)
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_57,c_147]) ).
tcf(c_481807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X0,X3)
| s_t(X0,X6,X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_87,c_147]) ).
tcf(c_481808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X0,X5)
| s_t(X0,X2,X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_88,c_147]) ).
tcf(c_481809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,ins(X2,X3,X4,X1))
| s_t(X0,X4,ins(X2,X3,X4,X1))
| ( ins(X2,X3,X4,X1) = X1 )
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_110,c_147]) ).
tcf(c_481810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X0,c63(X2,X1,X3))
| s_t(X0,X2,c63(X2,X1,X3))
| ( c63(X2,X1,X3) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_129,c_147]) ).
tcf(c_481811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X0,c63(X2,X1,X3))
| s_t(X0,X3,c63(X2,X1,X3))
| ( c63(X2,X1,X3) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_130,c_147]) ).
tcf(c_481812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ext(X2,X1,X3,X4),X2)
| s_t(ext(X2,X1,X3,X4),X0,X2)
| ( X1 = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480073,c_147]) ).
tcf(c_481873,plain,
! [X0: $i] :
( s_t(sK1,sK3,sK0)
| sameside(sK1,sK3,X0)
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_481408,c_137]) ).
tcf(c_481874,plain,
( sameside(sK0,sK3,sK1)
| s_t(sK1,sK3,sK0) ),
inference(superposition,[status(thm)],[c_481408,c_136]) ).
tcf(c_481889,plain,
! [X0: $i] :
( s_t(sK2,sK0,sK1)
| sameside(sK2,sK0,X0)
| ~ sameside(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_481409,c_137]) ).
tcf(c_481890,plain,
( sameside(sK1,sK0,sK2)
| s_t(sK2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_481409,c_136]) ).
tcf(c_481909,plain,
! [X0: $i] :
( s_col(sK0,sK2,X0)
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_5023,c_148]) ).
tcf(c_481910,plain,
! [X0: $i] :
( s_col(sK0,sK3,X0)
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_5022,c_148]) ).
tcf(c_481912,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_480443,c_148]) ).
tcf(c_481913,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_480444,c_148]) ).
tcf(c_481914,plain,
! [X0: $i] :
( s_col(sK2,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_480452,c_148]) ).
tcf(c_481915,plain,
! [X0: $i] :
( s_col(sK3,sK1,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_480453,c_148]) ).
tcf(c_481916,plain,
! [X0: $i] :
( s_col(sK2,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_480461,c_148]) ).
tcf(c_481917,plain,
! [X0: $i] :
( s_col(sK3,sK0,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_480462,c_148]) ).
tcf(c_481918,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_480464,c_148]) ).
tcf(c_481919,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_480467,c_148]) ).
tcf(c_481920,plain,
! [X0: $i] :
( s_col(sK1,sK2,X0)
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_480476,c_148]) ).
tcf(c_481921,plain,
! [X0: $i] :
( s_col(sK1,sK3,X0)
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_480477,c_148]) ).
tcf(c_481996,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,X0,X1)
| ( sK0 = sK1 )
| ( X0 = sK2 )
| ~ s_col(sK0,sK1,X1)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_5023,c_151]) ).
tcf(c_481997,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,X0,X1)
| ( sK0 = sK1 )
| ( X0 = sK3 )
| ~ s_col(sK0,sK1,X1)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_5022,c_151]) ).
tcf(c_481998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7182,c_151]) ).
tcf(c_481999,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,X0,X1)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ~ s_col(sK1,sK2,X1)
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_480443,c_151]) ).
tcf(c_482000,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,X0,X1)
| ( sK1 = sK3 )
| ( X0 = sK0 )
| ~ s_col(sK1,sK3,X1)
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_480444,c_151]) ).
tcf(c_482001,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,X0,X1)
| ( sK0 = sK2 )
| ( X0 = sK1 )
| ~ s_col(sK2,sK0,X1)
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_480452,c_151]) ).
tcf(c_482002,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,X0,X1)
| ( sK0 = sK3 )
| ( X0 = sK1 )
| ~ s_col(sK3,sK0,X1)
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_480453,c_151]) ).
tcf(c_482003,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,X0,X1)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ~ s_col(sK2,sK1,X1)
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_480461,c_151]) ).
tcf(c_482004,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,X0,X1)
| ( sK1 = sK3 )
| ( X0 = sK0 )
| ~ s_col(sK3,sK1,X1)
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_480462,c_151]) ).
tcf(c_482005,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,X0,X1)
| ( sK0 = sK2 )
| ( X0 = sK1 )
| ~ s_col(sK0,sK2,X1)
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_480464,c_151]) ).
tcf(c_482006,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,X0,X1)
| ( sK0 = sK3 )
| ( X0 = sK1 )
| ~ s_col(sK0,sK3,X1)
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_480467,c_151]) ).
tcf(c_482007,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,X0,X1)
| ( sK0 = sK1 )
| ( X0 = sK2 )
| ~ s_col(sK1,sK0,X1)
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_480476,c_151]) ).
tcf(c_482008,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,X0,X1)
| ( sK0 = sK1 )
| ( X0 = sK3 )
| ~ s_col(sK1,sK0,X1)
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_480477,c_151]) ).
tcf(c_482109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X0 = X2 )
| ( X0 = X1 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X0)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_100,c_152]) ).
tcf(c_482110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| ( sK0 = sK1 )
| ( X2 = sK2 )
| ( X0 = X1 )
| ~ s_col(sK0,sK1,X3)
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,sK2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_5023,c_152]) ).
tcf(c_482111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| ( sK0 = sK1 )
| ( X2 = sK3 )
| ( X0 = X1 )
| ~ s_col(sK0,sK1,X3)
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,sK3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_5022,c_152]) ).
tcf(c_482112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X1 = X2 )
| ( X0 = X1 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X1)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7182,c_152]) ).
tcf(c_482113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| ( sK1 = sK2 )
| ( X2 = sK0 )
| ( X0 = X1 )
| ~ s_col(sK1,sK2,X3)
| ~ s_col(sK1,sK2,X2)
| ~ s_col(X0,X1,sK0)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480443,c_152]) ).
tcf(c_482114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| ( sK1 = sK3 )
| ( X2 = sK0 )
| ( X0 = X1 )
| ~ s_col(sK1,sK3,X3)
| ~ s_col(sK1,sK3,X2)
| ~ s_col(X0,X1,sK0)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480444,c_152]) ).
tcf(c_482115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| ( sK0 = sK2 )
| ( X2 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK2,sK0,X3)
| ~ s_col(sK2,sK0,X2)
| ~ s_col(X0,X1,sK1)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480452,c_152]) ).
tcf(c_482116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| ( sK0 = sK3 )
| ( X2 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK3,sK0,X3)
| ~ s_col(sK3,sK0,X2)
| ~ s_col(X0,X1,sK1)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480453,c_152]) ).
tcf(c_482117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| ( sK1 = sK2 )
| ( X2 = sK0 )
| ( X0 = X1 )
| ~ s_col(sK2,sK1,X3)
| ~ s_col(sK2,sK1,X2)
| ~ s_col(X0,X1,sK0)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480461,c_152]) ).
tcf(c_482118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| ( sK1 = sK3 )
| ( X2 = sK0 )
| ( X0 = X1 )
| ~ s_col(sK3,sK1,X3)
| ~ s_col(sK3,sK1,X2)
| ~ s_col(X0,X1,sK0)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480462,c_152]) ).
tcf(c_482119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| ( sK0 = sK2 )
| ( X2 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK0,sK2,X3)
| ~ s_col(sK0,sK2,X2)
| ~ s_col(X0,X1,sK1)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480464,c_152]) ).
tcf(c_482120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| ( sK0 = sK3 )
| ( X2 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK0,sK3,X3)
| ~ s_col(sK0,sK3,X2)
| ~ s_col(X0,X1,sK1)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480467,c_152]) ).
tcf(c_482121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| ( sK0 = sK1 )
| ( X2 = sK2 )
| ( X0 = X1 )
| ~ s_col(sK1,sK0,X3)
| ~ s_col(sK1,sK0,X2)
| ~ s_col(X0,X1,sK2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480476,c_152]) ).
tcf(c_482122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| ( sK0 = sK1 )
| ( X2 = sK3 )
| ( X0 = X1 )
| ~ s_col(sK1,sK0,X3)
| ~ s_col(sK1,sK0,X2)
| ~ s_col(X0,X1,sK3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480477,c_152]) ).
tcf(c_482239,plain,
! [X0: $i] :
( s_t(sK3,sK0,sK1)
| sameside(sK3,sK0,X0)
| ~ sameside(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_481410,c_137]) ).
tcf(c_482240,plain,
( sameside(sK1,sK0,sK3)
| s_t(sK3,sK0,sK1) ),
inference(superposition,[status(thm)],[c_481410,c_136]) ).
tcf(c_482267,plain,
! [X0: $i] :
( s_t(sK2,sK1,sK0)
| sameside(sK2,sK1,X0)
| ~ sameside(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_481411,c_137]) ).
tcf(c_482268,plain,
( sameside(sK0,sK1,sK2)
| s_t(sK2,sK1,sK0) ),
inference(superposition,[status(thm)],[c_481411,c_136]) ).
tcf(c_482290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X1,X0,X3)
| ~ sameside(X2,X0,X1)
| ~ sameside(X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_49,c_154]) ).
tcf(c_482291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(ext(X0,X1,X2,X3),X4,X3,X5)
| ~ sameside(X3,X2,X5)
| ~ s_e(X1,X4,X2,X5)
| ~ sameside(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_53,c_154]) ).
tcf(c_482292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X3,X2)
| ~ sameside(X3,X0,X2)
| ~ sameside(X3,X0,X1)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_61,c_154]) ).
tcf(c_482294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(ins(X0,X1,X2,X3),X4,X1,X5)
| ~ sameside(X1,X0,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X4,X0,X5)
| ~ sameside(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_111,c_154]) ).
tcf(c_482323,plain,
! [X0: $i] :
( s_t(sK3,sK1,sK0)
| sameside(sK3,sK1,X0)
| ~ sameside(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_481412,c_137]) ).
tcf(c_482324,plain,
( sameside(sK0,sK1,sK3)
| s_t(sK3,sK1,sK0) ),
inference(superposition,[status(thm)],[c_481412,c_136]) ).
tcf(c_482335,plain,
! [X0: $i] :
( s_t(sK0,sK2,sK1)
| sameside(sK0,sK2,X0)
| ~ sameside(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_481413,c_137]) ).
tcf(c_482336,plain,
( sameside(sK1,sK2,sK0)
| s_t(sK0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_481413,c_136]) ).
tcf(c_482354,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ s_m(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_157,c_159]) ).
tcf(c_482356,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_m(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_480929,c_159]) ).
tcf(c_482372,plain,
! [X0: $i] :
( s_t(sK0,sK3,sK1)
| sameside(sK0,sK3,X0)
| ~ sameside(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_481414,c_137]) ).
tcf(c_482373,plain,
( sameside(sK1,sK3,sK0)
| s_t(sK0,sK3,sK1) ),
inference(superposition,[status(thm)],[c_481414,c_136]) ).
tcf(c_482384,plain,
! [X0: $i] :
( s_t(sK1,sK0,sK2)
| sameside(sK1,sK0,X0)
| ~ sameside(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_481415,c_137]) ).
tcf(c_482385,plain,
( sameside(sK2,sK0,sK1)
| s_t(sK1,sK0,sK2) ),
inference(superposition,[status(thm)],[c_481415,c_136]) ).
tcf(c_482398,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0,X2) = X1 )
| ( s(X0,X1) != X2 ) ),
inference(superposition,[status(thm)],[c_161,c_163]) ).
tcf(c_482399,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X0,X1) != X0 ) ),
inference(superposition,[status(thm)],[c_165,c_163]) ).
tcf(c_482409,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X0 )
| ( s(X0,X1) != X1 ) ),
inference(superposition,[status(thm)],[c_161,c_164]) ).
tcf(c_482413,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(s(X0,X1),X2,X1,s(X0,X2)),
inference(superposition,[status(thm)],[c_161,c_166]) ).
tcf(c_482414,plain,
! [X0: $i,X1: $i] : s_e(X0,X1,X0,s(X0,X1)),
inference(superposition,[status(thm)],[c_165,c_166]) ).
tcf(c_482415,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,s(X1,X2),s(X1,X0),X2),
inference(superposition,[status(thm)],[c_161,c_166]) ).
tcf(c_482416,plain,
! [X0: $i,X1: $i] : s_e(X0,X1,s(X1,X0),X1),
inference(superposition,[status(thm)],[c_165,c_166]) ).
tcf(c_482417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X4,s(X0,X1),X3)
| ~ sameside(X1,X2,X4)
| ~ s_e(X2,X4,s(X0,X2),X3)
| ~ sameside(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_166,c_154]) ).
tcf(c_482418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X3 )
| ( X0 = X4 )
| ( s(X2,X0) = s(X2,X3) )
| ~ sameside(X3,X0,X4)
| ~ sameside(X1,X0,X4)
| ~ s_e(X0,X1,s(X2,X0),s(X2,X3)) ),
inference(superposition,[status(thm)],[c_166,c_140]) ).
tcf(c_482419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(s(X6,X4),s(X6,X5),X2,X3)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_166,c_114]) ).
tcf(c_482420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,s(X3,X0),s(X3,X2))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_166,c_113]) ).
tcf(c_482421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X3,X0),ext(ext(s(X3,X2),s(X3,X0),alpha,gamma),s(X3,X0),X0,X1),s(X3,X2))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_166,c_91]) ).
tcf(c_482422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X4,s(X0,X1),X2)
| ~ s_t(X1,X4,X3)
| ~ s_e(X4,X3,X2,s(X0,X3))
| ~ s_t(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_166,c_90]) ).
tcf(c_482423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X4,X0,s(X1,X3))
| ~ s_t(X2,X3,X4)
| ~ s_e(X3,X4,X0,s(X1,X2))
| ~ s_t(X0,s(X1,X2),s(X1,X3)) ),
inference(superposition,[status(thm)],[c_166,c_71]) ).
tcf(c_482425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,s(X3,X1),s(X3,X2)) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_166,c_68]) ).
tcf(c_482426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X4,s(X0,X1),X3)
| ~ s_t(X1,X2,X4)
| ~ s_e(X2,X4,s(X0,X2),X3)
| ~ s_t(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_166,c_67]) ).
tcf(c_482427,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,X1,s(X2,X1),s(X2,X0)),
inference(superposition,[status(thm)],[c_166,c_65]) ).
tcf(c_482429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X2,X3,X4)
| ~ s_e(s(X0,X1),s(X0,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_166,c_63]) ).
tcf(c_482430,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(s(X0,X1),s(X0,X2),X1,X2),
inference(superposition,[status(thm)],[c_166,c_62]) ).
tcf(c_482431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X6,X4,X3,X5)
| ( X1 = X2 )
| ~ s_t(X1,X2,X6)
| ~ s_e(X2,X6,s(X0,X2),X3)
| ~ s_e(X2,X4,s(X0,X2),X5)
| ~ s_e(X1,X4,s(X0,X1),X5)
| ~ s_t(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_166,c_54]) ).
tcf(c_482432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X4,X0),s(X4,X1),X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_166,c_50]) ).
tcf(c_482494,plain,
! [X0: $i] : s_e(X0,X0,X0,X0),
inference(superposition,[status(thm)],[c_165,c_482414]) ).
tcf(c_482495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X3,s(X0,X1),X2)
| ~ sameside(X1,X0,X3)
| ~ s_e(X0,X3,X0,X2)
| ~ sameside(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_482414,c_154]) ).
tcf(c_482496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = X3 )
| ( s(X0,X2) = X0 )
| ~ sameside(X2,X0,X3)
| ~ sameside(X1,X0,X3)
| ~ s_e(X0,X1,X0,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_482414,c_140]) ).
tcf(c_482497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X4,s(X4,X5),X2,X3)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482414,c_114]) ).
tcf(c_482498,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,X0,s(X0,X2))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482414,c_113]) ).
tcf(c_482499,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,ext(ext(s(X0,X2),X0,alpha,gamma),X0,X0,X1),s(X0,X2))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482414,c_91]) ).
tcf(c_482500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X0,X3,X2)
| ~ s_t(X3,X0,X1)
| ~ s_t(X3,X2,s(X3,X1))
| ~ s_e(X0,X1,X2,s(X3,X1)) ),
inference(superposition,[status(thm)],[c_482414,c_90]) ).
tcf(c_482501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X3,X0,s(X1,X2))
| ~ s_t(X1,X2,X3)
| ~ s_e(X2,X3,X0,X1)
| ~ s_t(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_482414,c_71]) ).
tcf(c_482503,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X1,s(X1,X2)) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482414,c_68]) ).
tcf(c_482504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X1,X2,X3)
| ~ s_t(X2,X0,X1)
| ~ s_t(X2,s(X2,X0),X3)
| ~ s_e(X0,X1,s(X2,X0),X3) ),
inference(superposition,[status(thm)],[c_482414,c_67]) ).
tcf(c_482505,plain,
! [X0: $i,X1: $i] : s_e(X0,X1,s(X0,X1),X0),
inference(superposition,[status(thm)],[c_482414,c_65]) ).
tcf(c_482506,plain,
! [X0: $i,X1: $i] : s_e(X0,X1,X1,s(X1,X0)),
inference(superposition,[status(thm)],[c_482414,c_64]) ).
tcf(c_482507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_482414,c_63]) ).
tcf(c_482508,plain,
! [X0: $i,X1: $i] : s_e(X0,s(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_482414,c_62]) ).
tcf(c_482509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,X3)
| ( X0 = X2 )
| ~ s_t(X2,X0,X4)
| ~ s_e(X2,X1,X2,X3)
| ~ s_t(X2,s(X2,X0),X5)
| ~ s_e(X0,X4,s(X2,X0),X5)
| ~ s_e(X0,X1,s(X2,X0),X3) ),
inference(superposition,[status(thm)],[c_482414,c_54]) ).
tcf(c_482510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,s(X0,X1),X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482414,c_50]) ).
tcf(c_482511,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X1 )
| ~ s_t(X0,s(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_482414,c_122]) ).
tcf(c_482512,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X2,X1) = X1 )
| ~ s_t(X2,X1,X0)
| ~ s_e(X0,X1,X0,s(X2,X1)) ),
inference(superposition,[status(thm)],[c_482414,c_106]) ).
tcf(c_482513,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( s(X2,X1) = X1 )
| ~ s_col(X2,X0,X1)
| ~ s_e(X0,X1,X0,s(X2,X1)) ),
inference(superposition,[status(thm)],[c_482414,c_105]) ).
tcf(c_482514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X3,s(X2,X1))
| ( X0 = X2 )
| ~ s_col(X2,X0,X3)
| ~ s_e(X0,X1,X0,s(X2,X1)) ),
inference(superposition,[status(thm)],[c_482414,c_104]) ).
tcf(c_482589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X1,X2,X3)
| ~ sameside(X2,X0,X1)
| ~ sameside(X2,s(X2,X0),X3)
| ~ s_e(X0,X1,s(X2,X0),X3) ),
inference(superposition,[status(thm)],[c_482416,c_154]) ).
tcf(c_482590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = X3 )
| ( s(X2,X0) = X2 )
| ~ sameside(X2,X0,X3)
| ~ sameside(X1,X0,X3)
| ~ s_e(X0,X1,s(X2,X0),X2) ),
inference(superposition,[status(thm)],[c_482416,c_140]) ).
tcf(c_482591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(s(X5,X4),X5,X2,X3)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482416,c_114]) ).
tcf(c_482592,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,s(X2,X0),X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482416,c_113]) ).
tcf(c_482593,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X2,X0),ext(ext(X2,s(X2,X0),alpha,gamma),s(X2,X0),X0,X1),X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482416,c_91]) ).
tcf(c_482594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X3,s(X0,X1),X2)
| ~ s_t(X1,X3,X0)
| ~ s_e(X3,X0,X2,X0)
| ~ s_t(s(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_482416,c_90]) ).
tcf(c_482595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X2,X0)
| ~ s_t(X3,X0,X1)
| ~ s_t(X2,s(X0,X3),X0)
| ~ s_e(X0,X1,X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_482416,c_71]) ).
tcf(c_482597,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,s(X2,X1),X2) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482416,c_68]) ).
tcf(c_482598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X3,s(X0,X1),X2)
| ~ s_t(X1,X0,X3)
| ~ s_e(X0,X3,X0,X2)
| ~ s_t(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_482416,c_67]) ).
tcf(c_482601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X0,X2,X3)
| ~ s_e(s(X0,X1),X0,X2,X3) ),
inference(superposition,[status(thm)],[c_482416,c_63]) ).
tcf(c_482602,plain,
! [X0: $i,X1: $i] : s_e(s(X0,X1),X0,X1,X0),
inference(superposition,[status(thm)],[c_482416,c_62]) ).
tcf(c_482603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X1,X4,X3)
| ( X0 = X2 )
| ~ s_t(X0,X2,X5)
| ~ s_e(X2,X5,X2,X4)
| ~ s_e(X2,X1,X2,X3)
| ~ s_t(s(X2,X0),X2,X4)
| ~ s_e(X0,X1,s(X2,X0),X3) ),
inference(superposition,[status(thm)],[c_482416,c_54]) ).
tcf(c_482604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(s(X1,X0),X1,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482416,c_50]) ).
tcf(c_482652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,s(X0,X2),s(X0,X3))
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_161,c_167]) ).
tcf(c_482653,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,s(X0,X1),s(X0,X2))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_165,c_167]) ).
tcf(c_482654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X1,X0),X2,s(X1,X3))
| ~ s_t(X0,s(X1,X2),X3) ),
inference(superposition,[status(thm)],[c_161,c_167]) ).
tcf(c_482655,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X1,X0),X1,s(X1,X2))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_165,c_167]) ).
tcf(c_482656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X2,X0),s(X2,X1),X3)
| ~ s_t(X0,X1,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_161,c_167]) ).
tcf(c_482657,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X2,X0),s(X2,X1),X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_165,c_167]) ).
tcf(c_482658,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X2,X0) = s(X2,X1) )
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_167,c_55]) ).
tcf(c_482659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,s(X1,X4),s(X1,X3))
| s_t(s(X1,X4),X0,s(X1,X3))
| ( s(X1,X2) = s(X1,X3) )
| ~ s_t(X4,X2,X3)
| ~ s_t(X0,s(X1,X2),s(X1,X3)) ),
inference(superposition,[status(thm)],[c_167,c_147]) ).
tcf(c_482660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(X1,X2),s(X1,X4))
| ( s(X1,X2) = s(X1,X4) )
| ( s(X1,X2) = s(X1,X3) )
| ~ s_t(X4,X2,X3)
| ~ sameside(X0,s(X1,X2),s(X1,X3)) ),
inference(superposition,[status(thm)],[c_167,c_145]) ).
tcf(c_482661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,s(X1,X2),s(X1,X4))
| sameside(X0,s(X1,X2),s(X1,X3))
| ( s(X1,X2) = X0 )
| ( s(X1,X2) = s(X1,X4) )
| ( s(X1,X2) = s(X1,X3) )
| ~ s_t(X3,X2,X4)
| ~ s_col(X0,s(X1,X2),s(X1,X3)) ),
inference(superposition,[status(thm)],[c_167,c_143]) ).
tcf(c_482662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ s_t(X1,X2,X3)
| ~ sameside(s(X0,X1),s(X0,X2),s(X0,X3)) ),
inference(superposition,[status(thm)],[c_167,c_133]) ).
tcf(c_482663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(X1,X4),s(X1,X2),X0)
| ( s(X1,X2) = X0 )
| ( s(X1,X2) = s(X1,X4) )
| ( s(X1,X2) = s(X1,X3) )
| ~ s_t(X4,X2,X3)
| ~ s_t(X0,s(X1,X2),s(X1,X3)) ),
inference(superposition,[status(thm)],[c_167,c_131]) ).
tcf(c_482664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,s(X0,X2),s(X0,X4))
| ( s(X0,X2) = X3 )
| ( s(X0,X2) = s(X0,X4) )
| ( s(X0,X1) = s(X0,X2) )
| ~ s_t(X1,X2,X4)
| ~ sameside(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_167,c_125]) ).
tcf(c_482665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(X0,X1),X2,s(X0,X4))
| s_t(s(X0,X1),s(X0,X4),X2)
| ~ s_t(X1,X4,X3)
| ~ s_t(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_167,c_109]) ).
tcf(c_482666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(X0,X2),X3,s(X0,X4))
| s_t(s(X0,X2),s(X0,X4),X3)
| ( s(X0,X1) = s(X0,X2) )
| ~ s_t(X1,X2,X4)
| ~ s_t(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_167,c_108]) ).
tcf(c_482667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(X0,X1),X3,s(X0,X4))
| s_t(s(X0,X1),s(X0,X4),X3)
| ( s(X0,X1) = s(X0,X2) )
| ~ s_t(X1,X2,X4)
| ~ s_t(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_167,c_107]) ).
tcf(c_482668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(X0,X4),s(X0,X1),X3)
| ( s(X0,X1) = s(X0,X2) )
| ~ s_t(X4,X1,X2)
| ~ s_t(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_167,c_81]) ).
tcf(c_482669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(X0,X1),s(X0,X4),X3)
| ~ s_t(X1,X4,X2)
| ~ s_t(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_167,c_80]) ).
tcf(c_482670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(X0,X4),X2,s(X0,X3))
| ~ s_t(X4,X1,X3)
| ~ s_t(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_167,c_79]) ).
tcf(c_482671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(X0,X4),s(X0,X2),X3)
| ( s(X0,X1) = s(X0,X2) )
| ~ s_t(X4,X1,X2)
| ~ s_t(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_167,c_78]) ).
tcf(c_482672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(X0,X4),s(X0,X2),X3)
| ~ s_t(X1,X4,X2)
| ~ s_t(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_167,c_77]) ).
tcf(c_482673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(X0,X4),s(X0,X1),X2)
| ~ s_t(X4,X1,X3)
| ~ s_t(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_167,c_76]) ).
tcf(c_482674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X0,X1) = s(X0,X2) )
| ~ s_t(X2,X1,X3)
| ~ s_t(s(X0,X1),s(X0,X2),s(X0,X3)) ),
inference(superposition,[status(thm)],[c_167,c_75]) ).
tcf(c_482675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X3,X2),s(X3,X1),s(X3,X0))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_167,c_73]) ).
tcf(c_482787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X1,X0),X2,X3)
| ~ s_t(X0,s(X1,X2),s(X1,X3)) ),
inference(superposition,[status(thm)],[c_161,c_168]) ).
tcf(c_482788,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,X2)
| ~ s_t(X0,s(X0,X1),s(X0,X2)) ),
inference(superposition,[status(thm)],[c_165,c_168]) ).
tcf(c_482789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,s(X0,X2),X3)
| ~ s_t(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_161,c_168]) ).
tcf(c_482790,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X0,X2)
| ~ s_t(s(X0,X1),X0,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_165,c_168]) ).
tcf(c_482791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X2,s(X0,X3))
| ~ s_t(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_161,c_168]) ).
tcf(c_482792,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X2,X0)
| ~ s_t(s(X0,X1),s(X0,X2),X0) ),
inference(superposition,[status(thm)],[c_165,c_168]) ).
tcf(c_482813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,s(X0,X2),s(X0,X3),s(X0,X4))
| ~ s_e(s(X0,X1),X2,X3,X4) ),
inference(superposition,[status(thm)],[c_161,c_169]) ).
tcf(c_482814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,s(X0,X1),s(X0,X2),s(X0,X3))
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_165,c_169]) ).
tcf(c_482815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X1,X0),X2,s(X1,X3),s(X1,X4))
| ~ s_e(X0,s(X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_161,c_169]) ).
tcf(c_482816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(s(X1,X0),X1,s(X1,X2),s(X1,X3))
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_165,c_169]) ).
tcf(c_482817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X2,X0),s(X2,X1),X3,s(X2,X4))
| ~ s_e(X0,X1,s(X2,X3),X4) ),
inference(superposition,[status(thm)],[c_161,c_169]) ).
tcf(c_482818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(s(X2,X0),s(X2,X1),X2,s(X2,X3))
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_165,c_169]) ).
tcf(c_482819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X3,X0),s(X3,X1),s(X3,X2),X4)
| ~ s_e(X0,X1,X2,s(X3,X4)) ),
inference(superposition,[status(thm)],[c_161,c_169]) ).
tcf(c_482820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(s(X3,X0),s(X3,X1),s(X3,X2),X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_165,c_169]) ).
tcf(c_482821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(s(X0,X5),X2,s(X0,X6),X4)
| ~ s_e(X1,X5,X3,X6)
| ~ sameside(s(X0,X6),s(X0,X3),X4)
| ~ sameside(s(X0,X5),s(X0,X1),X2)
| ~ s_e(s(X0,X1),X2,s(X0,X3),X4) ),
inference(superposition,[status(thm)],[c_169,c_154]) ).
tcf(c_482822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( s(X0,X5) = X2 )
| ( s(X0,X3) = s(X0,X4) )
| ( s(X0,X1) = X6 )
| ~ s_e(X1,X5,X3,X4)
| ~ sameside(X2,s(X0,X1),X6)
| ~ sameside(s(X0,X5),s(X0,X1),X6)
| ~ s_e(s(X0,X1),X2,s(X0,X3),s(X0,X4)) ),
inference(superposition,[status(thm)],[c_169,c_140]) ).
tcf(c_482823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( le(s(X0,X5),s(X0,X6),X7,X8)
| ~ s_e(X3,X4,X7,X8)
| ~ s_e(X1,X2,X5,X6)
| ~ le(s(X0,X1),s(X0,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_169,c_114]) ).
tcf(c_482824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(s(X0,X1),X2,s(X0,X4),s(X0,X5))
| ~ s_e(X1,X3,X4,X5)
| ~ s_t(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_169,c_113]) ).
tcf(c_482825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(s(X0,X4),ext(ext(s(X0,X5),s(X0,X4),alpha,gamma),s(X0,X4),s(X0,X1),X2),s(X0,X5))
| ~ s_e(X1,X3,X4,X5)
| ~ s_t(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_169,c_91]) ).
tcf(c_482826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(s(X1,X5),X0,s(X1,X6),X3)
| ~ s_e(X5,X2,X6,X4)
| ~ s_t(s(X1,X6),X3,s(X1,X4))
| ~ s_t(s(X1,X5),X0,s(X1,X2))
| ~ s_e(X0,s(X1,X2),X3,s(X1,X4)) ),
inference(superposition,[status(thm)],[c_169,c_90]) ).
tcf(c_482827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(s(X0,X5),X2,X3,s(X0,X6))
| ~ s_e(X5,X1,X4,X6)
| ~ s_t(X3,s(X0,X4),s(X0,X6))
| ~ s_t(s(X0,X5),s(X0,X1),X2)
| ~ s_e(s(X0,X1),X2,X3,s(X0,X4)) ),
inference(superposition,[status(thm)],[c_169,c_71]) ).
tcf(c_482828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X4,X1),s(X4,X0),s(X4,X3),s(X4,X2))
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_169,c_70]) ).
tcf(c_482829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( s(X1,X2) = X0 )
| ( ext(X0,s(X1,X2),s(X1,X4),s(X1,X5)) = s(X1,X3) )
| ~ s_e(X2,X3,X4,X5)
| ~ s_t(X0,s(X1,X2),s(X1,X3)) ),
inference(superposition,[status(thm)],[c_169,c_68]) ).
tcf(c_482830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(s(X0,X5),X2,s(X0,X6),X4)
| ~ s_e(X5,X1,X6,X3)
| ~ s_t(s(X0,X6),s(X0,X3),X4)
| ~ s_t(s(X0,X5),s(X0,X1),X2)
| ~ s_e(s(X0,X1),X2,s(X0,X3),X4) ),
inference(superposition,[status(thm)],[c_169,c_67]) ).
tcf(c_482831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X4,X0),s(X4,X1),s(X4,X3),s(X4,X2))
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_169,c_65]) ).
tcf(c_482832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X4,X1),s(X4,X0),s(X4,X2),s(X4,X3))
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_169,c_64]) ).
tcf(c_482833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(s(X0,X5),s(X0,X6),X3,X4)
| ~ s_e(X5,X6,X1,X2)
| ~ s_e(s(X0,X1),s(X0,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_169,c_63]) ).
tcf(c_482834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X4,X2),s(X4,X3),s(X4,X0),s(X4,X1))
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_169,c_62]) ).
tcf(c_482835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_e(X7,X2,X8,X4)
| ( s(X0,X1) = s(X0,X5) )
| ~ s_e(X1,X5,X3,X6)
| ~ s_t(s(X0,X3),s(X0,X6),X8)
| ~ s_t(s(X0,X1),s(X0,X5),X7)
| ~ s_e(s(X0,X5),X7,s(X0,X6),X8)
| ~ s_e(s(X0,X5),X2,s(X0,X6),X4)
| ~ s_e(s(X0,X1),X2,s(X0,X3),X4) ),
inference(superposition,[status(thm)],[c_169,c_54]) ).
tcf(c_482836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(s(X0,X5),s(X0,X6),X3,X4)
| ~ s_e(X1,X2,X5,X6)
| ~ s_e(s(X0,X1),s(X0,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_169,c_50]) ).
tcf(c_482837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X3,X0) = s(X3,X1) )
| ~ s_e(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_169,c_69]) ).
tcf(c_482838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X0,X2) = s(X0,X3) )
| ~ s_e(X1,X3,X1,X2)
| ~ s_t(s(X0,X1),s(X0,X2),s(X0,X3)) ),
inference(superposition,[status(thm)],[c_169,c_122]) ).
tcf(c_482839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( s(X1,X2) = s(X1,X3) )
| ~ s_e(X4,X2,X4,X3)
| ~ s_t(s(X1,X4),s(X1,X2),X0)
| ~ s_e(X0,s(X1,X2),X0,s(X1,X3)) ),
inference(superposition,[status(thm)],[c_169,c_106]) ).
tcf(c_482840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( s(X1,X4) = X0 )
| ( s(X1,X2) = s(X1,X3) )
| ~ s_e(X4,X2,X4,X3)
| ~ s_col(s(X1,X4),X0,s(X1,X2))
| ~ s_e(X0,s(X1,X2),X0,s(X1,X3)) ),
inference(superposition,[status(thm)],[c_169,c_105]) ).
tcf(c_482841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,s(X1,X2),X5,s(X1,X3))
| ( s(X1,X4) = X0 )
| ~ s_e(X4,X2,X4,X3)
| ~ s_col(s(X1,X4),X0,X5)
| ~ s_e(X0,s(X1,X2),X0,s(X1,X3)) ),
inference(superposition,[status(thm)],[c_169,c_104]) ).
tcf(c_482962,plain,
! [X0: $i,X1: $i] : s_e(X0,s(X0,X1),X1,X0),
inference(superposition,[status(thm)],[c_161,c_482505]) ).
tcf(c_482964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X1,X0,X3)
| ~ sameside(X2,X0,X1)
| ~ sameside(X0,s(X0,X2),X3)
| ~ s_e(X0,X1,s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_482505,c_154]) ).
tcf(c_482965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = X3 )
| ( s(X0,X2) = X0 )
| ~ sameside(X2,X0,X3)
| ~ sameside(X1,X0,X3)
| ~ s_e(X0,X1,s(X0,X2),X0) ),
inference(superposition,[status(thm)],[c_482505,c_140]) ).
tcf(c_482966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(s(X4,X5),X4,X2,X3)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482505,c_114]) ).
tcf(c_482967,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,s(X0,X2),X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482505,c_113]) ).
tcf(c_482968,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,X2),ext(ext(X0,s(X0,X2),alpha,gamma),s(X0,X2),X0,X1),X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482505,c_91]) ).
tcf(c_482969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X3,s(X0,X1),X2)
| ~ s_t(X0,X3,X1)
| ~ s_e(X3,X1,X2,X0)
| ~ s_t(s(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_482505,c_90]) ).
tcf(c_482970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X2,X3)
| ~ s_t(X3,X0,X1)
| ~ s_t(X2,s(X3,X0),X3)
| ~ s_e(X0,X1,X2,s(X3,X0)) ),
inference(superposition,[status(thm)],[c_482505,c_71]) ).
tcf(c_482972,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,s(X1,X2),X1) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482505,c_68]) ).
tcf(c_482973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X3,s(X0,X1),X2)
| ~ s_t(X0,X1,X3)
| ~ s_e(X1,X3,X0,X2)
| ~ s_t(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_482505,c_67]) ).
tcf(c_482976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X1,X2,X3)
| ~ s_e(s(X0,X1),X0,X2,X3) ),
inference(superposition,[status(thm)],[c_482505,c_63]) ).
tcf(c_482977,plain,
! [X0: $i,X1: $i] : s_e(s(X0,X1),X0,X0,X1),
inference(superposition,[status(thm)],[c_482505,c_62]) ).
tcf(c_482978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X1,X4,X3)
| ( X0 = X2 )
| ~ s_t(X0,X2,X5)
| ~ s_e(X2,X5,X0,X4)
| ~ s_e(X2,X1,X0,X3)
| ~ s_t(s(X0,X2),X0,X4)
| ~ s_e(X0,X1,s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_482505,c_54]) ).
tcf(c_482979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(s(X0,X1),X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482505,c_50]) ).
tcf(c_483036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X3,s(X0,X1),X2)
| ~ sameside(X0,X1,X3)
| ~ s_e(X1,X3,X0,X2)
| ~ sameside(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_482506,c_154]) ).
tcf(c_483037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = X3 )
| ( s(X2,X0) = X2 )
| ~ sameside(X2,X0,X3)
| ~ sameside(X1,X0,X3)
| ~ s_e(X0,X1,X2,s(X2,X0)) ),
inference(superposition,[status(thm)],[c_482506,c_140]) ).
tcf(c_483038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X5,s(X5,X4),X2,X3)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482506,c_114]) ).
tcf(c_483039,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,X2,s(X2,X0))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482506,c_113]) ).
tcf(c_483040,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,ext(ext(s(X2,X0),X2,alpha,gamma),X2,X0,X1),s(X2,X0))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482506,c_91]) ).
tcf(c_483041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X0,X1,X2)
| ~ s_t(X3,X0,X1)
| ~ s_t(X1,X2,s(X1,X3))
| ~ s_e(X0,X1,X2,s(X1,X3)) ),
inference(superposition,[status(thm)],[c_482506,c_90]) ).
tcf(c_483042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,X0,s(X1,X2))
| ~ s_t(X2,X1,X3)
| ~ s_e(X1,X3,X0,X1)
| ~ s_t(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_482506,c_71]) ).
tcf(c_483044,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,s(X2,X1)) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482506,c_68]) ).
tcf(c_483045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X1,X0,X3)
| ~ s_t(X2,X0,X1)
| ~ s_t(X0,s(X0,X2),X3)
| ~ s_e(X0,X1,s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_482506,c_67]) ).
tcf(c_483048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X0,X2,X3)
| ~ s_e(X0,s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_482506,c_63]) ).
tcf(c_483050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,X3)
| ( X0 = X2 )
| ~ s_t(X2,X0,X4)
| ~ s_e(X2,X1,X0,X3)
| ~ s_t(X0,s(X0,X2),X5)
| ~ s_e(X0,X4,s(X0,X2),X5)
| ~ s_e(X0,X1,s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_482506,c_54]) ).
tcf(c_483051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,s(X1,X0),X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482506,c_50]) ).
tcf(c_483053,plain,
! [X0: $i,X1: $i] :
( ( s(X1,X1) = X1 )
| ~ s_t(X1,X1,X0)
| ~ s_e(X0,X1,X0,s(X1,X1)) ),
inference(superposition,[status(thm)],[c_482506,c_106]) ).
tcf(c_483054,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X1,X1) = X1 )
| ~ s_col(X1,X0,X1)
| ~ s_e(X0,X1,X0,s(X1,X1)) ),
inference(superposition,[status(thm)],[c_482506,c_105]) ).
tcf(c_483055,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X1,X2,s(X1,X1))
| ( X0 = X1 )
| ~ s_col(X1,X0,X2)
| ~ s_e(X0,X1,X0,s(X1,X1)) ),
inference(superposition,[status(thm)],[c_482506,c_104]) ).
tcf(c_483120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X1,X0),X2,X3,X4)
| ~ s_e(X0,s(X1,X2),s(X1,X3),s(X1,X4)) ),
inference(superposition,[status(thm)],[c_161,c_170]) ).
tcf(c_483121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X1,X2,X3)
| ~ s_e(X0,s(X0,X1),s(X0,X2),s(X0,X3)) ),
inference(superposition,[status(thm)],[c_165,c_170]) ).
tcf(c_483122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,s(X0,X2),X3,X4)
| ~ s_e(s(X0,X1),X2,s(X0,X3),s(X0,X4)) ),
inference(superposition,[status(thm)],[c_161,c_170]) ).
tcf(c_483123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X0,X2,X3)
| ~ s_e(s(X0,X1),X0,s(X0,X2),s(X0,X3)) ),
inference(superposition,[status(thm)],[c_165,c_170]) ).
tcf(c_483124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X2,s(X0,X3),X4)
| ~ s_e(s(X0,X1),s(X0,X2),X3,s(X0,X4)) ),
inference(superposition,[status(thm)],[c_161,c_170]) ).
tcf(c_483125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X2,X0,X3)
| ~ s_e(s(X0,X1),s(X0,X2),X0,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_165,c_170]) ).
tcf(c_483126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X2,X3,s(X0,X4))
| ~ s_e(s(X0,X1),s(X0,X2),s(X0,X3),X4) ),
inference(superposition,[status(thm)],[c_161,c_170]) ).
tcf(c_483127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X2,X3,X0)
| ~ s_e(s(X0,X1),s(X0,X2),s(X0,X3),X0) ),
inference(superposition,[status(thm)],[c_165,c_170]) ).
tcf(c_483155,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_m(X0,X1,s(X2,X0)) ),
inference(superposition,[status(thm)],[c_158,c_171]) ).
tcf(c_483156,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ s_m(s(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_480929,c_171]) ).
tcf(c_483167,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( s(X0,s(X1,X2)) != X2 ) ),
inference(superposition,[status(thm)],[c_161,c_172]) ).
tcf(c_483176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(s(X0,X1),X2,X1,X3)
| ~ sameside(X1,X0,X3)
| ~ s_e(X0,X2,X0,X3)
| ~ sameside(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_482508,c_154]) ).
tcf(c_483177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ( s(X0,X1) = X3 )
| ~ sameside(X3,X0,X2)
| ~ s_e(X0,X3,X0,X1)
| ~ sameside(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_482508,c_140]) ).
tcf(c_483178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X0,X1,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ le(X0,s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_482508,c_114]) ).
tcf(c_483179,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,X0,X2)
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_482508,c_113]) ).
tcf(c_483180,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,ext(ext(X2,X0,alpha,gamma),X0,X0,X1),X2)
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_482508,c_91]) ).
tcf(c_483181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X0,X1,X3)
| ~ s_t(X1,X3,X2)
| ~ s_t(X1,X0,s(X1,X2))
| ~ s_e(X0,s(X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_482508,c_90]) ).
tcf(c_483182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X2,X3,X1)
| ~ s_t(X3,X0,X1)
| ~ s_t(X0,s(X0,X1),X2)
| ~ s_e(s(X0,X1),X2,X3,X0) ),
inference(superposition,[status(thm)],[c_482508,c_71]) ).
tcf(c_483184,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X1,X2) = s(X1,X2) )
| ~ s_t(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_482508,c_68]) ).
tcf(c_483185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X2,X0,X3)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,s(X0,X1),X2)
| ~ s_e(s(X0,X1),X2,X1,X3) ),
inference(superposition,[status(thm)],[c_482508,c_67]) ).
tcf(c_483190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X2,X5,X3)
| ( s(X0,X1) = X0 )
| ~ s_t(X0,X1,X5)
| ~ s_e(X0,X2,X0,X3)
| ~ s_t(X0,s(X0,X1),X4)
| ~ s_e(s(X0,X1),X4,X1,X5)
| ~ s_e(s(X0,X1),X2,X1,X3) ),
inference(superposition,[status(thm)],[c_482508,c_54]) ).
tcf(c_483193,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X1 )
| ~ s_t(X0,X1,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_482508,c_122]) ).
tcf(c_483194,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X1,X2) = X2 )
| ~ s_t(X1,s(X1,X2),X0)
| ~ s_e(X0,s(X1,X2),X0,X2) ),
inference(superposition,[status(thm)],[c_482508,c_106]) ).
tcf(c_483195,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( s(X1,X2) = X2 )
| ~ s_col(X1,X0,s(X1,X2))
| ~ s_e(X0,s(X1,X2),X0,X2) ),
inference(superposition,[status(thm)],[c_482508,c_105]) ).
tcf(c_483196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,s(X1,X2),X3,X2)
| ( X0 = X1 )
| ~ s_col(X1,X0,X3)
| ~ s_e(X0,s(X1,X2),X0,X2) ),
inference(superposition,[status(thm)],[c_482508,c_104]) ).
tcf(c_483262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X2,X0,X3)
| ~ sameside(X0,X1,X3)
| ~ sameside(X0,s(X0,X1),X2)
| ~ s_e(s(X0,X1),X2,X1,X3) ),
inference(superposition,[status(thm)],[c_482602,c_154]) ).
tcf(c_483263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ( s(X0,X1) = X3 )
| ~ sameside(X2,s(X0,X1),X3)
| ~ sameside(X0,s(X0,X1),X3)
| ~ s_e(s(X0,X1),X2,X1,X0) ),
inference(superposition,[status(thm)],[c_482602,c_140]) ).
tcf(c_483264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,X0,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ le(s(X0,X1),X0,X2,X3) ),
inference(superposition,[status(thm)],[c_482602,c_114]) ).
tcf(c_483265,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(s(X0,X1),X2,X1,X0)
| ~ s_t(s(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_482602,c_113]) ).
tcf(c_483266,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,ext(ext(X0,X1,alpha,gamma),X1,s(X0,X1),X2),X0)
| ~ s_t(s(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_482602,c_91]) ).
tcf(c_483267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(s(X0,X1),X2,X1,X3)
| ~ s_t(X1,X3,X0)
| ~ s_e(X2,X0,X3,X0)
| ~ s_t(s(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_482602,c_90]) ).
tcf(c_483268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(s(X0,X1),X2,X3,X0)
| ~ s_t(X3,X1,X0)
| ~ s_e(X0,X2,X3,X1)
| ~ s_t(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_482602,c_71]) ).
tcf(c_483270,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X1,X2) = X0 )
| ( ext(X0,s(X1,X2),X2,X1) = X1 )
| ~ s_t(X0,s(X1,X2),X1) ),
inference(superposition,[status(thm)],[c_482602,c_68]) ).
tcf(c_483271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(s(X0,X1),X2,X1,X3)
| ~ s_t(X1,X0,X3)
| ~ s_e(X0,X2,X0,X3)
| ~ s_t(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_482602,c_67]) ).
tcf(c_483276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X2,X5,X3)
| ( s(X0,X1) = X0 )
| ~ s_t(X1,X0,X5)
| ~ s_e(X0,X4,X0,X5)
| ~ s_e(X0,X2,X0,X3)
| ~ s_t(s(X0,X1),X0,X4)
| ~ s_e(s(X0,X1),X2,X1,X3) ),
inference(superposition,[status(thm)],[c_482602,c_54]) ).
tcf(c_483332,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X0 )
| ( s(X0,s(s(X0,X1),X1)) != s(X0,X1) ) ),
inference(superposition,[status(thm)],[c_165,c_173]) ).
tcf(c_483333,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( s(X0,s(X1,s(X0,X2))) != s(X1,X2) ) ),
inference(superposition,[status(thm)],[c_161,c_173]) ).
tcf(c_483334,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X0,s(X1,X0)) != s(X1,X0) ) ),
inference(superposition,[status(thm)],[c_165,c_173]) ).
tcf(c_483355,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(ext(X0,X1,X1,X2),X1,X2)
| ( ext(X0,X1,X1,X2) = X2 )
| ~ s_col(ext(X0,X1,X1,X2),X1,X2) ),
inference(superposition,[status(thm)],[c_53,c_174]) ).
tcf(c_483358,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(ins(X0,X1,X0,X2),X0,X1)
| ( ins(X0,X1,X0,X2) = X1 )
| ~ le(X0,X2,X0,X1)
| ~ s_col(ins(X0,X1,X0,X2),X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_174]) ).
tcf(c_483359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(s(X0,X1),s(X0,X2),s(X0,X3))
| ( s(X0,X1) = s(X0,X3) )
| ~ s_e(X2,X1,X2,X3)
| ~ s_col(s(X0,X1),s(X0,X2),s(X0,X3)) ),
inference(superposition,[status(thm)],[c_169,c_174]) ).
tcf(c_483388,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X1,X2,X0)
| s_col(X1,X0,X0)
| ( X0 = X1 )
| ~ s_col(X1,X2,X0)
| ~ s_col(X0,X2,X1)
| ~ s_e(X0,X0,X1,X1) ),
inference(superposition,[status(thm)],[c_49,c_175]) ).
tcf(c_483389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(X1,X4,X2)
| s_col(X1,ext(X0,X1,X2,X3),X2)
| ( ext(X0,X1,X2,X3) = X3 )
| ~ s_col(X1,X4,X2)
| ~ s_col(ext(X0,X1,X2,X3),X4,X3)
| ~ s_e(ext(X0,X1,X2,X3),X2,X3,X1) ),
inference(superposition,[status(thm)],[c_53,c_175]) ).
tcf(c_483392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(X2,X4,X0)
| s_col(X2,ins(X0,X1,X2,X3),X0)
| ( ins(X0,X1,X2,X3) = X1 )
| ~ s_col(X2,X4,X0)
| ~ le(X2,X3,X0,X1)
| ~ s_col(ins(X0,X1,X2,X3),X4,X1)
| ~ s_e(ins(X0,X1,X2,X3),X0,X1,X2) ),
inference(superposition,[status(thm)],[c_111,c_175]) ).
tcf(c_483393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(X2,X3,s(X1,X2))
| s_col(X2,X0,s(X1,X2))
| ( s(X1,X0) = X0 )
| ~ s_col(X2,X3,s(X1,X2))
| ~ s_col(X0,X3,s(X1,X0))
| ~ s_e(X0,s(X1,X2),s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_166,c_175]) ).
tcf(c_483394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_m(s(X0,X4),X5,s(X0,X2))
| s_col(s(X0,X4),s(X0,X1),s(X0,X2))
| ( s(X0,X1) = s(X0,X3) )
| ~ s_e(X4,X1,X2,X3)
| ~ s_col(s(X0,X4),X5,s(X0,X2))
| ~ s_col(s(X0,X1),X5,s(X0,X3))
| ~ s_e(s(X0,X1),s(X0,X2),s(X0,X3),s(X0,X4)) ),
inference(superposition,[status(thm)],[c_169,c_175]) ).
tcf(c_483395,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X1,X2,X1)
| s_col(X1,X0,X1)
| ( s(X1,X0) = X0 )
| ~ s_col(X1,X2,X1)
| ~ s_col(X0,X2,s(X1,X0))
| ~ s_e(X0,X1,s(X1,X0),X1) ),
inference(superposition,[status(thm)],[c_482414,c_175]) ).
tcf(c_483397,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X0,X2,X0)
| s_col(X0,s(X0,X1),X0)
| ( s(X0,X1) = X1 )
| ~ s_col(X0,X2,X0)
| ~ s_col(s(X0,X1),X2,X1)
| ~ s_e(s(X0,X1),X0,X1,X0) ),
inference(superposition,[status(thm)],[c_482508,c_175]) ).
tcf(c_483399,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X1,X2,X0)
| s_col(X1,X0,X0)
| ( s(X0,X1) = X0 )
| ~ s_col(X1,X2,X0)
| ~ s_col(X0,X2,s(X0,X1))
| ~ s_e(X0,X0,s(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_482506,c_175]) ).
tcf(c_483400,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X1,X2,s(X1,X0))
| s_col(X1,X0,s(X1,X0))
| ( X0 = X1 )
| ~ s_col(X0,X2,X1)
| ~ s_col(X1,X2,s(X1,X0))
| ~ s_e(X0,s(X1,X0),X1,X1) ),
inference(superposition,[status(thm)],[c_482505,c_175]) ).
tcf(c_483444,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X0,X2,X1)
| s_col(X0,s(X0,X1),X1)
| ( s(X0,X1) = X0 )
| ~ s_col(X0,X2,X1)
| ~ s_col(s(X0,X1),X2,X0)
| ~ s_e(s(X0,X1),X1,X0,X0) ),
inference(superposition,[status(thm)],[c_482962,c_175]) ).
tcf(c_483445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(s(X0,X1),X2,X0,X3)
| ~ sameside(X0,X1,X3)
| ~ s_e(X0,X2,X1,X3)
| ~ sameside(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_482962,c_154]) ).
tcf(c_483446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ( s(X0,X1) = X3 )
| ~ sameside(X3,X0,X2)
| ~ s_e(X0,X3,X1,X0)
| ~ sameside(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_482962,c_140]) ).
tcf(c_483447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,X0,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ le(X0,s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_482962,c_114]) ).
tcf(c_483448,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,X2,X0)
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_482962,c_113]) ).
tcf(c_483449,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,ext(ext(X0,X2,alpha,gamma),X2,X0,X1),X0)
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_482962,c_91]) ).
tcf(c_483450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X0,X2,X3)
| ~ s_t(X2,X3,X1)
| ~ s_t(X1,X0,s(X1,X2))
| ~ s_e(X0,s(X1,X2),X3,X1) ),
inference(superposition,[status(thm)],[c_482962,c_90]) ).
tcf(c_483451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X2,X3,X0)
| ~ s_t(X3,X1,X0)
| ~ s_t(X0,s(X0,X1),X2)
| ~ s_e(s(X0,X1),X2,X3,X1) ),
inference(superposition,[status(thm)],[c_482962,c_71]) ).
tcf(c_483453,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,X1) = s(X1,X2) )
| ~ s_t(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_482962,c_68]) ).
tcf(c_483454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X2,X1,X3)
| ~ s_t(X1,X0,X3)
| ~ s_t(X0,s(X0,X1),X2)
| ~ s_e(s(X0,X1),X2,X0,X3) ),
inference(superposition,[status(thm)],[c_482962,c_67]) ).
tcf(c_483459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X2,X5,X3)
| ( s(X0,X1) = X0 )
| ~ s_t(X1,X0,X5)
| ~ s_e(X0,X2,X1,X3)
| ~ s_t(X0,s(X0,X1),X4)
| ~ s_e(s(X0,X1),X4,X0,X5)
| ~ s_e(s(X0,X1),X2,X0,X3) ),
inference(superposition,[status(thm)],[c_482962,c_54]) ).
tcf(c_483464,plain,
! [X0: $i,X1: $i] :
( ( s(X1,X1) = X1 )
| ~ s_t(X1,s(X1,X1),X0)
| ~ s_e(X0,s(X1,X1),X0,X1) ),
inference(superposition,[status(thm)],[c_482962,c_106]) ).
tcf(c_483465,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X1,X1) = X1 )
| ~ s_col(X1,X0,s(X1,X1))
| ~ s_e(X0,s(X1,X1),X0,X1) ),
inference(superposition,[status(thm)],[c_482962,c_105]) ).
tcf(c_483466,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,s(X1,X1),X2,X1)
| ( X0 = X1 )
| ~ s_col(X1,X0,X2)
| ~ s_e(X0,s(X1,X1),X0,X1) ),
inference(superposition,[status(thm)],[c_482962,c_104]) ).
tcf(c_483524,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(s(X0,X1),X2,X0)
| s_col(s(X0,X1),X0,X0)
| ( X0 = X1 )
| ~ s_col(X0,X2,X1)
| ~ s_col(s(X0,X1),X2,X0)
| ~ s_e(X0,X0,X1,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_482977,c_175]) ).
tcf(c_483525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X2,X1,X3)
| ~ sameside(X1,X0,X3)
| ~ sameside(X0,s(X0,X1),X2)
| ~ s_e(s(X0,X1),X2,X0,X3) ),
inference(superposition,[status(thm)],[c_482977,c_154]) ).
tcf(c_483526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ( s(X0,X1) = X3 )
| ~ sameside(X2,s(X0,X1),X3)
| ~ sameside(X0,s(X0,X1),X3)
| ~ s_e(s(X0,X1),X2,X0,X1) ),
inference(superposition,[status(thm)],[c_482977,c_140]) ).
tcf(c_483527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X0,X1,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ le(s(X0,X1),X0,X2,X3) ),
inference(superposition,[status(thm)],[c_482977,c_114]) ).
tcf(c_483528,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(s(X0,X1),X2,X0,X1)
| ~ s_t(s(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_482977,c_113]) ).
tcf(c_483529,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,s(X0,X1),X2),X1)
| ~ s_t(s(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_482977,c_91]) ).
tcf(c_483530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(s(X0,X1),X2,X0,X3)
| ~ s_t(X0,X3,X1)
| ~ s_e(X2,X0,X3,X1)
| ~ s_t(s(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_482977,c_90]) ).
tcf(c_483531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(s(X0,X1),X2,X3,X1)
| ~ s_t(X3,X0,X1)
| ~ s_e(X0,X2,X3,X0)
| ~ s_t(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_482977,c_71]) ).
tcf(c_483533,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X1,X2) = X0 )
| ( ext(X0,s(X1,X2),X1,X2) = X1 )
| ~ s_t(X0,s(X1,X2),X1) ),
inference(superposition,[status(thm)],[c_482977,c_68]) ).
tcf(c_483534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(s(X0,X1),X2,X0,X3)
| ~ s_t(X0,X1,X3)
| ~ s_e(X0,X2,X1,X3)
| ~ s_t(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_482977,c_67]) ).
tcf(c_483539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X2,X5,X3)
| ( s(X0,X1) = X0 )
| ~ s_t(X0,X1,X5)
| ~ s_e(X0,X4,X1,X5)
| ~ s_e(X0,X2,X1,X3)
| ~ s_t(s(X0,X1),X0,X4)
| ~ s_e(s(X0,X1),X2,X0,X3) ),
inference(superposition,[status(thm)],[c_482977,c_54]) ).
tcf(c_483604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X1,X4)
| ~ s_m(X0,X6,X5)
| ~ s_t(X5,X1,X3)
| ~ s_e(X1,X0,X1,X5)
| ~ s_m(ext(X2,X1,X1,X3),X4,X3)
| ~ s_t(X0,X1,ext(X2,X1,X1,X3)) ),
inference(superposition,[status(thm)],[c_53,c_178]) ).
tcf(c_483605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X0,X5)
| ~ s_m(X3,X5,X3)
| ~ s_m(X1,X4,X2)
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X0,X3)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_61,c_178]) ).
tcf(c_483606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,X3)
| ~ s_m(X1,X4,X2)
| ~ s_m(X0,X3,X0)
| ~ s_t(X2,X0,X0)
| ~ s_t(X1,X0,X0)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_66,c_178]) ).
tcf(c_483607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X1,X4)
| ~ s_m(X0,X6,X5)
| ~ s_t(X5,X1,X2)
| ~ le(X1,X3,X1,X2)
| ~ s_e(X1,X0,X1,X5)
| ~ s_m(ins(X1,X2,X1,X3),X4,X2)
| ~ s_t(X0,X1,ins(X1,X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_111,c_178]) ).
tcf(c_483608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,s(X0,X1),X6)
| ~ s_m(X2,X7,X3)
| ~ s_e(X1,X4,X1,X5)
| ~ s_m(s(X0,X4),X6,s(X0,X5))
| ~ s_t(X3,s(X0,X1),s(X0,X5))
| ~ s_t(X2,s(X0,X1),s(X0,X4))
| ~ s_e(s(X0,X1),X2,s(X0,X1),X3) ),
inference(superposition,[status(thm)],[c_169,c_178]) ).
tcf(c_483609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X1,X3)
| ~ s_m(X4,X5,X0)
| ~ s_t(X4,X1,X2)
| ~ s_e(X1,X4,X1,X0)
| ~ s_m(X2,X3,s(X1,X2))
| ~ s_t(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_482414,c_178]) ).
tcf(c_483610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X1,X3)
| ~ s_m(X0,X5,X4)
| ~ s_t(X4,X1,X2)
| ~ s_e(X1,X0,X1,X4)
| ~ s_m(s(X1,X2),X3,X2)
| ~ s_t(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_482508,c_178]) ).
tcf(c_483611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,X2)
| ~ s_m(X3,X4,X0)
| ~ s_t(X3,X1,X1)
| ~ s_e(X1,X3,X1,X0)
| ~ s_m(X1,X2,s(X1,X1))
| ~ s_t(X0,X1,s(X1,X1)) ),
inference(superposition,[status(thm)],[c_482506,c_178]) ).
tcf(c_483612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,X2)
| ~ s_m(X0,X4,X3)
| ~ s_t(X3,X1,X1)
| ~ s_e(X1,X0,X1,X3)
| ~ s_m(s(X1,X1),X2,X1)
| ~ s_t(X0,X1,s(X1,X1)) ),
inference(superposition,[status(thm)],[c_482962,c_178]) ).
tcf(c_483613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,X3)
| ~ s_m(X1,X4,X2)
| ~ s_m(X0,X3,X0)
| ~ s_e(X0,X1,X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_483606,c_72,c_72]) ).
tcf(c_483624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,X2)
| ~ s_m(X0,X4,X3)
| ~ s_e(X1,X0,X1,X3)
| ~ s_m(s(X1,X1),X2,X1)
| ~ s_t(X0,X1,s(X1,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_483612,c_72]) ).
tcf(c_483630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,X2)
| ~ s_m(X3,X4,X0)
| ~ s_e(X1,X3,X1,X0)
| ~ s_m(X1,X2,s(X1,X1))
| ~ s_t(X0,X1,s(X1,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_483611,c_72]) ).
tcf(c_483680,plain,
! [X0: $i,X1: $i,X2: $i] : s_m(ext(X0,X1,X1,X2),isomidpoint(ext(X0,X1,X1,X2),X2,X1),X2),
inference(superposition,[status(thm)],[c_53,c_179]) ).
tcf(c_483681,plain,
! [X0: $i,X1: $i] : s_m(X0,isomidpoint(X0,X0,X1),X0),
inference(superposition,[status(thm)],[c_61,c_179]) ).
tcf(c_483682,plain,
! [X0: $i] : s_m(X0,isomidpoint(X0,X0,X0),X0),
inference(superposition,[status(thm)],[c_66,c_179]) ).
tcf(c_483683,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(ins(X0,X2,X0,X1),isomidpoint(ins(X0,X2,X0,X1),X2,X0),X2)
| ~ le(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_111,c_179]) ).
tcf(c_483684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(s(X3,X1),isomidpoint(s(X3,X1),s(X3,X2),s(X3,X0)),s(X3,X2))
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_169,c_179]) ).
tcf(c_483685,plain,
! [X0: $i,X1: $i] : s_m(X0,isomidpoint(X0,s(X1,X0),X1),s(X1,X0)),
inference(superposition,[status(thm)],[c_482414,c_179]) ).
tcf(c_483686,plain,
! [X0: $i,X1: $i] : s_m(s(X0,X1),isomidpoint(s(X0,X1),X1,X0),X1),
inference(superposition,[status(thm)],[c_482508,c_179]) ).
tcf(c_483687,plain,
! [X0: $i] : s_m(X0,isomidpoint(X0,s(X0,X0),X0),s(X0,X0)),
inference(superposition,[status(thm)],[c_482506,c_179]) ).
tcf(c_483688,plain,
! [X0: $i] : s_m(s(X0,X0),isomidpoint(s(X0,X0),X0,X0),X0),
inference(superposition,[status(thm)],[c_482962,c_179]) ).
tcf(c_483703,plain,
! [X0: $i,X1: $i] : s_r(X0,X0,X1),
inference(superposition,[status(thm)],[c_183,c_180]) ).
tcf(c_483715,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_100,c_181]) ).
tcf(c_483716,plain,
! [X0: $i] :
( s_r(sK2,sK0,X0)
| ( sK0 = sK1 )
| ~ s_r(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_5023,c_181]) ).
tcf(c_483717,plain,
! [X0: $i] :
( s_r(sK3,sK0,X0)
| ( sK0 = sK1 )
| ~ s_r(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_5022,c_181]) ).
tcf(c_483719,plain,
! [X0: $i] :
( s_r(sK0,sK1,X0)
| ( sK1 = sK2 )
| ~ s_r(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_480443,c_181]) ).
tcf(c_483720,plain,
! [X0: $i] :
( s_r(sK0,sK1,X0)
| ( sK1 = sK3 )
| ~ s_r(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_480444,c_181]) ).
tcf(c_483721,plain,
! [X0: $i] :
( s_r(sK1,sK2,X0)
| ( sK0 = sK2 )
| ~ s_r(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_480452,c_181]) ).
tcf(c_483722,plain,
! [X0: $i] :
( s_r(sK1,sK3,X0)
| ( sK0 = sK3 )
| ~ s_r(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_480453,c_181]) ).
tcf(c_483723,plain,
! [X0: $i] :
( s_r(sK0,sK2,X0)
| ( sK1 = sK2 )
| ~ s_r(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_480461,c_181]) ).
tcf(c_483724,plain,
! [X0: $i] :
( s_r(sK0,sK3,X0)
| ( sK1 = sK3 )
| ~ s_r(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_480462,c_181]) ).
tcf(c_483725,plain,
! [X0: $i] :
( s_r(sK1,sK0,X0)
| ( sK0 = sK2 )
| ~ s_r(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_480464,c_181]) ).
tcf(c_483726,plain,
! [X0: $i] :
( s_r(sK1,sK0,X0)
| ( sK0 = sK3 )
| ~ s_r(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_480467,c_181]) ).
tcf(c_483727,plain,
! [X0: $i] :
( s_r(sK2,sK1,X0)
| ( sK0 = sK1 )
| ~ s_r(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_480476,c_181]) ).
tcf(c_483728,plain,
! [X0: $i] :
( s_r(sK3,sK1,X0)
| ( sK0 = sK1 )
| ~ s_r(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_480477,c_181]) ).
tcf(c_483779,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X0,X1,X2)
| ~ s_r(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_161,c_182]) ).
tcf(c_483781,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(s(X1,X2),X1,X0)
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_182,c_180]) ).
tcf(c_483799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X2,X0,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X3)
| ~ s_r(X4,X1,ip(X2,X0,X3,X4,X5))
| ~ s_r(X0,X1,ip(X2,X0,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_56,c_184]) ).
tcf(c_483800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X0,X2,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X0,X2,X3)
| ~ s_r(X5,X1,ip(X0,X2,X3,X4,X5))
| ~ s_r(X0,X1,ip(X0,X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_57,c_184]) ).
tcf(c_483801,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_r(X2,X1,X2)
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_184]) ).
tcf(c_483802,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ s_r(X2,X1,X0)
| ~ s_r(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_74,c_184]) ).
tcf(c_483803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X2,X3,X0,X4,X5,X6) = X1 )
| ~ s_t(X4,X5,X0)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X3,X0)
| ~ s_r(X6,X1,crossbar(X2,X3,X0,X4,X5,X6))
| ~ s_r(X0,X1,crossbar(X2,X3,X0,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_87,c_184]) ).
tcf(c_483804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X2,X0,X3,X4,X5,X6) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X0,X3)
| ~ s_r(X5,X1,crossbar(X2,X0,X3,X4,X5,X6))
| ~ s_r(X0,X1,crossbar(X2,X0,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_88,c_184]) ).
tcf(c_483805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X4 )
| ~ s_r(X2,X4,X3)
| ~ le(X2,X3,X0,X1)
| ~ s_r(ins(X0,X1,X2,X3),X4,X3) ),
inference(superposition,[status(thm)],[c_110,c_184]) ).
tcf(c_483806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ s_r(X0,X3,X1)
| ~ sameside(X0,X1,X2)
| ~ s_r(c63(X0,X1,X2),X3,X1) ),
inference(superposition,[status(thm)],[c_129,c_184]) ).
tcf(c_483807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ s_r(X2,X3,X1)
| ~ sameside(X0,X1,X2)
| ~ s_r(c63(X0,X1,X2),X3,X1) ),
inference(superposition,[status(thm)],[c_130,c_184]) ).
tcf(c_483808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( s(X0,X3) = X2 )
| ~ s_t(X1,X3,X4)
| ~ s_r(s(X0,X4),X2,s(X0,X3))
| ~ s_r(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_167,c_184]) ).
tcf(c_483809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X4 )
| ~ s_r(X0,X4,X1)
| ~ s_r(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_480073,c_184]) ).
tcf(c_483865,plain,
! [X0: $i] :
( s_t(sK1,sK0,sK3)
| sameside(sK1,sK0,X0)
| ~ sameside(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_481416,c_137]) ).
tcf(c_483866,plain,
( sameside(sK3,sK0,sK1)
| s_t(sK1,sK0,sK3) ),
inference(superposition,[status(thm)],[c_481416,c_136]) ).
tcf(c_483881,plain,
! [X0: $i] :
( s_t(sK0,sK1,sK2)
| sameside(sK2,sK1,X0)
| ~ sameside(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_481489,c_137]) ).
tcf(c_483893,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X1,X2) = X1 )
| ~ s_r(X0,X1,X2)
| ~ s_r(X0,s(X1,X2),X1) ),
inference(superposition,[status(thm)],[c_182,c_185]) ).
tcf(c_483916,plain,
( ( sK1 = sK2 )
| ( sK0 = sK1 )
| ~ s_r(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_5023,c_187]) ).
tcf(c_483917,plain,
( ( sK1 = sK3 )
| ( sK0 = sK1 )
| ~ s_r(sK0,sK1,sK3) ),
inference(superposition,[status(thm)],[c_5022,c_187]) ).
tcf(c_483919,plain,
( ( sK1 = sK2 )
| ( sK0 = sK2 )
| ~ s_r(sK1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_480443,c_187]) ).
tcf(c_483920,plain,
( ( sK1 = sK3 )
| ( sK0 = sK3 )
| ~ s_r(sK1,sK3,sK0) ),
inference(superposition,[status(thm)],[c_480444,c_187]) ).
tcf(c_483921,plain,
( ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_r(sK2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_480452,c_187]) ).
tcf(c_483922,plain,
( ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_r(sK3,sK0,sK1) ),
inference(superposition,[status(thm)],[c_480453,c_187]) ).
tcf(c_483923,plain,
( ( sK1 = sK2 )
| ( sK0 = sK1 )
| ~ s_r(sK2,sK1,sK0) ),
inference(superposition,[status(thm)],[c_480461,c_187]) ).
tcf(c_483924,plain,
( ( sK1 = sK3 )
| ( sK0 = sK1 )
| ~ s_r(sK3,sK1,sK0) ),
inference(superposition,[status(thm)],[c_480462,c_187]) ).
tcf(c_483925,plain,
( ( sK1 = sK2 )
| ( sK0 = sK2 )
| ~ s_r(sK0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_480464,c_187]) ).
tcf(c_483926,plain,
( ( sK1 = sK3 )
| ( sK0 = sK3 )
| ~ s_r(sK0,sK3,sK1) ),
inference(superposition,[status(thm)],[c_480467,c_187]) ).
tcf(c_483927,plain,
( ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_r(sK1,sK0,sK2) ),
inference(superposition,[status(thm)],[c_480476,c_187]) ).
tcf(c_483928,plain,
( ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_r(sK1,sK0,sK3) ),
inference(superposition,[status(thm)],[c_480477,c_187]) ).
tcf(c_483977,plain,
! [X0: $i] :
( s_t(sK0,sK1,sK3)
| sameside(sK3,sK1,X0)
| ~ sameside(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_481587,c_137]) ).
tcf(c_483987,plain,
! [X0: $i] :
( s_t(sK1,sK2,sK0)
| sameside(sK0,sK2,X0)
| ~ sameside(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_481601,c_137]) ).
tcf(c_484003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X4),X3)
| ~ s_r(X0,X4,X1)
| ~ s_t(X0,X4,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_92,c_188]) ).
tcf(c_484004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X2,X3,insert5(X0,X1,X4,X2,X3))
| ~ s_r(X0,X1,X4)
| ~ s_col(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_102,c_188]) ).
tcf(c_484021,plain,
perp(sK2,sK3,sK0,sK1),
inference(superposition,[status(thm)],[c_5024,c_190]) ).
tcf(c_484027,plain,
! [X0: $i] :
( s_t(sK1,sK3,sK0)
| sameside(sK0,sK3,X0)
| ~ sameside(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_481874,c_137]) ).
tcf(c_484037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( f813(X0,X1,X2,X3,X4) = X1 )
| ~ perpAt(X0,X1,X4,X2,X3)
| ~ s_r(X0,X1,f813(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_195,c_187]) ).
tcf(c_484038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_r(f813(X0,X1,X3,X4,X2),X0,X5)
| ( X0 = X1 )
| ~ s_r(X1,X0,X5)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(superposition,[status(thm)],[c_195,c_181]) ).
tcf(c_484039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_col(X0,X1,X8)
| ( X2 = X3 )
| ( X0 = X1 )
| ( f813(X2,X3,X4,X5,X6) = X7 )
| ~ s_col(X2,X3,X8)
| ~ s_col(X2,X3,X7)
| ~ s_col(X0,X1,X7)
| ~ perpAt(X2,X3,X6,X4,X5)
| ~ s_col(X0,X1,f813(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_195,c_152]) ).
tcf(c_484040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(f813(X0,X1,X3,X4,X2),X5,X6)
| ( X0 = X1 )
| ( f813(X0,X1,X3,X4,X2) = X5 )
| ~ s_col(X0,X1,X6)
| ~ s_col(X0,X1,X5)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(superposition,[status(thm)],[c_195,c_151]) ).
tcf(c_484041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,f813(X0,X1,X3,X4,X2),X5)
| ( X0 = X1 )
| ( f813(X0,X1,X3,X4,X2) = X0 )
| ~ s_col(X0,X1,X5)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(superposition,[status(thm)],[c_195,c_148]) ).
tcf(c_484042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,f813(X0,X1,X3,X4,X2))
| s_t(X0,X1,f813(X0,X1,X3,X4,X2))
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(superposition,[status(thm)],[c_195,c_134]) ).
tcf(c_484043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,f813(X0,X1,X3,X4,X2),X1)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(superposition,[status(thm)],[c_195,c_98]) ).
tcf(c_484044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,f813(X0,X1,X3,X4,X2))
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(superposition,[status(thm)],[c_195,c_97]) ).
tcf(c_484045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(f813(X0,X1,X3,X4,X2),X1,X0)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(superposition,[status(thm)],[c_195,c_96]) ).
tcf(c_484046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(f813(X0,X1,X3,X4,X2),X0,X1)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(superposition,[status(thm)],[c_195,c_95]) ).
tcf(c_484047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,f813(X0,X1,X3,X4,X2),X0)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(superposition,[status(thm)],[c_195,c_94]) ).
tcf(c_484103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( g813(X2,X3,X0,X1,X4) = X1 )
| ~ perpAt(X2,X3,X4,X0,X1)
| ~ s_r(X0,X1,g813(X2,X3,X0,X1,X4)) ),
inference(superposition,[status(thm)],[c_196,c_187]) ).
tcf(c_484104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_r(g813(X0,X1,X3,X4,X2),X3,X5)
| ( X3 = X4 )
| ~ s_r(X4,X3,X5)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(superposition,[status(thm)],[c_196,c_181]) ).
tcf(c_484105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_col(X0,X1,X8)
| ( X4 = X5 )
| ( X0 = X1 )
| ( g813(X2,X3,X4,X5,X6) = X7 )
| ~ s_col(X4,X5,X8)
| ~ s_col(X4,X5,X7)
| ~ s_col(X0,X1,X7)
| ~ perpAt(X2,X3,X6,X4,X5)
| ~ s_col(X0,X1,g813(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_196,c_152]) ).
tcf(c_484106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(g813(X0,X1,X3,X4,X2),X5,X6)
| ( X3 = X4 )
| ( g813(X0,X1,X3,X4,X2) = X5 )
| ~ s_col(X3,X4,X6)
| ~ s_col(X3,X4,X5)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(superposition,[status(thm)],[c_196,c_151]) ).
tcf(c_484107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X3,g813(X0,X1,X3,X4,X2),X5)
| ( X3 = X4 )
| ( g813(X0,X1,X3,X4,X2) = X3 )
| ~ s_col(X3,X4,X5)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(superposition,[status(thm)],[c_196,c_148]) ).
tcf(c_484108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X3,X4,g813(X0,X1,X3,X4,X2))
| s_t(X3,X4,g813(X0,X1,X3,X4,X2))
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(superposition,[status(thm)],[c_196,c_134]) ).
tcf(c_484109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,g813(X0,X1,X3,X4,X2),X4)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(superposition,[status(thm)],[c_196,c_98]) ).
tcf(c_484110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X4,X3,g813(X0,X1,X3,X4,X2))
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(superposition,[status(thm)],[c_196,c_97]) ).
tcf(c_484111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(g813(X0,X1,X3,X4,X2),X4,X3)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(superposition,[status(thm)],[c_196,c_96]) ).
tcf(c_484112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(g813(X0,X1,X3,X4,X2),X3,X4)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(superposition,[status(thm)],[c_196,c_95]) ).
tcf(c_484113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X4,g813(X0,X1,X3,X4,X2),X3)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(superposition,[status(thm)],[c_196,c_94]) ).
tcf(c_484178,plain,
! [X0: $i] :
( s_t(sK2,sK0,sK1)
| sameside(sK1,sK0,X0)
| ~ sameside(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_481890,c_137]) ).
tcf(c_484188,plain,
! [X0: $i] :
( s_t(sK3,sK0,sK1)
| sameside(sK1,sK0,X0)
| ~ sameside(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_482240,c_137]) ).
tcf(c_484202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( g813(X0,X1,X2,X3,X4) = X4 )
| ~ perpAt(X0,X1,X4,X2,X3)
| ~ s_r(f813(X0,X1,X2,X3,X4),g813(X0,X1,X2,X3,X4),X4) ),
inference(superposition,[status(thm)],[c_199,c_185]) ).
tcf(c_484203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(g813(X0,X1,X3,X4,X2),X2,f813(X0,X1,X3,X4,X2))
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(superposition,[status(thm)],[c_199,c_180]) ).
tcf(c_484230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,X1,X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X0 = X2 )
| ( X0 = X1 )
| ~ s_r(X0,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_100,c_200]) ).
tcf(c_484231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( perpAt(X0,X1,X5,X7,X8)
| ( X7 = X8 )
| ( X5 = X6 )
| ( X0 = X1 )
| ( f813(X0,X1,X2,X3,X4) = X5 )
| ~ s_col(X7,X8,X6)
| ~ s_col(X7,X8,X5)
| ~ s_col(X0,X1,X5)
| ~ perpAt(X0,X1,X4,X2,X3)
| ~ s_r(f813(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_195,c_200]) ).
tcf(c_484232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( perpAt(X2,X3,X5,X7,X8)
| ( X7 = X8 )
| ( X5 = X6 )
| ( X2 = X3 )
| ( g813(X0,X1,X2,X3,X4) = X5 )
| ~ s_col(X7,X8,X6)
| ~ s_col(X7,X8,X5)
| ~ s_col(X2,X3,X5)
| ~ perpAt(X0,X1,X4,X2,X3)
| ~ s_r(g813(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_196,c_200]) ).
tcf(c_484233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK0,sK1,X2,X0,X1)
| ( sK0 = sK1 )
| ( X2 = sK2 )
| ( X2 = X3 )
| ( X0 = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_r(sK2,X2,X3)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_5023,c_200]) ).
tcf(c_484234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK0,sK1,X2,X0,X1)
| ( sK0 = sK1 )
| ( X2 = sK3 )
| ( X2 = X3 )
| ( X0 = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_r(sK3,X2,X3)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_5022,c_200]) ).
tcf(c_484235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,X1,X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X1 = X2 )
| ( X0 = X1 )
| ~ s_r(X1,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7182,c_200]) ).
tcf(c_484236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK1,sK2,X2,X0,X1)
| ( sK1 = sK2 )
| ( X2 = sK0 )
| ( X2 = X3 )
| ( X0 = X1 )
| ~ s_col(sK1,sK2,X2)
| ~ s_r(sK0,X2,X3)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480443,c_200]) ).
tcf(c_484237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK1,sK3,X2,X0,X1)
| ( sK1 = sK3 )
| ( X2 = sK0 )
| ( X2 = X3 )
| ( X0 = X1 )
| ~ s_col(sK1,sK3,X2)
| ~ s_r(sK0,X2,X3)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480444,c_200]) ).
tcf(c_484238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK2,sK0,X2,X0,X1)
| ( sK0 = sK2 )
| ( X2 = sK1 )
| ( X2 = X3 )
| ( X0 = X1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_r(sK1,X2,X3)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480452,c_200]) ).
tcf(c_484239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK3,sK0,X2,X0,X1)
| ( sK0 = sK3 )
| ( X2 = sK1 )
| ( X2 = X3 )
| ( X0 = X1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_r(sK1,X2,X3)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480453,c_200]) ).
tcf(c_484240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK2,sK1,X2,X0,X1)
| ( sK1 = sK2 )
| ( X2 = sK0 )
| ( X2 = X3 )
| ( X0 = X1 )
| ~ s_col(sK2,sK1,X2)
| ~ s_r(sK0,X2,X3)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480461,c_200]) ).
tcf(c_484241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK3,sK1,X2,X0,X1)
| ( sK1 = sK3 )
| ( X2 = sK0 )
| ( X2 = X3 )
| ( X0 = X1 )
| ~ s_col(sK3,sK1,X2)
| ~ s_r(sK0,X2,X3)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480462,c_200]) ).
tcf(c_484242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK0,sK2,X2,X0,X1)
| ( sK0 = sK2 )
| ( X2 = sK1 )
| ( X2 = X3 )
| ( X0 = X1 )
| ~ s_col(sK0,sK2,X2)
| ~ s_r(sK1,X2,X3)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480464,c_200]) ).
tcf(c_484243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK0,sK3,X2,X0,X1)
| ( sK0 = sK3 )
| ( X2 = sK1 )
| ( X2 = X3 )
| ( X0 = X1 )
| ~ s_col(sK0,sK3,X2)
| ~ s_r(sK1,X2,X3)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480467,c_200]) ).
tcf(c_484244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK1,sK0,X2,X0,X1)
| ( sK0 = sK1 )
| ( X2 = sK2 )
| ( X2 = X3 )
| ( X0 = X1 )
| ~ s_col(sK1,sK0,X2)
| ~ s_r(sK2,X2,X3)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480476,c_200]) ).
tcf(c_484245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK1,sK0,X2,X0,X1)
| ( sK0 = sK1 )
| ( X2 = sK3 )
| ( X2 = X3 )
| ( X0 = X1 )
| ~ s_col(sK1,sK0,X2)
| ~ s_r(sK3,X2,X3)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480477,c_200]) ).
tcf(c_484435,plain,
! [X0: $i] :
( s_t(sK2,sK1,sK0)
| sameside(sK0,sK1,X0)
| ~ sameside(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_482268,c_137]) ).
tcf(c_484445,plain,
! [X0: $i] :
( s_t(sK3,sK1,sK0)
| sameside(sK0,sK1,X0)
| ~ sameside(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_482324,c_137]) ).
tcf(c_484455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X4,X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X4))
| ~ s_t(X0,X4,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_92,c_218]) ).
tcf(c_484465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X4,X2,insert5(X0,X1,X4,X2,X3))
| ~ s_col(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_102,c_219]) ).
tcf(c_484473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,ext(ext(X3,X2,alpha,gamma),X2,X0,X4),X3)
| ~ s_t(X0,X4,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_92,c_220]) ).
tcf(c_484474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X4,X3,insert5(X0,X1,X4,X2,X3))
| ~ s_col(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_102,c_220]) ).
tcf(c_484488,plain,
! [X0: $i] :
( s_t(sK0,sK2,sK1)
| sameside(sK1,sK2,X0)
| ~ sameside(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_482336,c_137]) ).
tcf(c_484498,plain,
! [X0: $i] :
( s_t(sK0,sK3,sK1)
| sameside(sK1,sK3,X0)
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_482373,c_137]) ).
tcf(c_484527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_r(X2,X3,X5)
| ~ s_r(X0,X1,X4)
| ~ s_e(X1,X4,X3,X5)
| ~ s_e(X0,X4,X2,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_221,c_188]) ).
tcf(c_484528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X2,X3,X5)
| ~ s_col(X0,X1,X4)
| ~ s_e(X1,X4,X3,X5)
| ~ s_e(X0,X4,X2,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_221,c_101]) ).
tcf(c_484529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X3,X5)
| ~ s_t(X0,X1,X4)
| ~ s_e(X1,X4,X3,X5)
| ~ s_e(X0,X4,X2,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_221,c_93]) ).
tcf(c_484555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,f813(X0,X1,X3,X4,X2),X0)
| s_t(X0,X1,f813(X0,X1,X3,X4,X2))
| s_t(f813(X0,X1,X3,X4,X2),X0,X1)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(superposition,[status(thm)],[c_195,c_222]) ).
tcf(c_484556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,g813(X0,X1,X3,X4,X2),X3)
| s_t(X3,X4,g813(X0,X1,X3,X4,X2))
| s_t(g813(X0,X1,X3,X4,X2),X3,X4)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(superposition,[status(thm)],[c_196,c_222]) ).
tcf(c_484562,plain,
( s_t(sK2,sK0,sK1)
| s_t(sK1,sK2,sK0)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_480452,c_222]) ).
tcf(c_484563,plain,
( s_t(sK3,sK0,sK1)
| s_t(sK1,sK3,sK0)
| s_t(sK0,sK1,sK3) ),
inference(superposition,[status(thm)],[c_480453,c_222]) ).
tcf(c_484568,plain,
( s_t(sK2,sK1,sK0)
| s_t(sK1,sK0,sK2)
| s_t(sK0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_480476,c_222]) ).
tcf(c_484569,plain,
( s_t(sK3,sK1,sK0)
| s_t(sK1,sK0,sK3)
| s_t(sK0,sK3,sK1) ),
inference(superposition,[status(thm)],[c_480477,c_222]) ).
tcf(c_484594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,X1,ext(X0,X1,X2,X3)),
inference(superposition,[status(thm)],[c_52,c_223]) ).
tcf(c_484595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,ip(X0,X1,X2,X3,X4),X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_56,c_223]) ).
tcf(c_484596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X4,ip(X0,X1,X2,X3,X4),X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_223]) ).
tcf(c_484599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X3,crossbar(X0,X1,X2,X4,X5,X3),X2)
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_223]) ).
tcf(c_484600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X1,crossbar(X0,X1,X2,X4,X5,X3),X5)
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_223]) ).
tcf(c_484601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_110,c_223]) ).
tcf(c_484602,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_129,c_223]) ).
tcf(c_484603,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X2,X1,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_130,c_223]) ).
tcf(c_484604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(X3,X0),s(X3,X1),s(X3,X2))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_167,c_223]) ).
tcf(c_484605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(ext(X0,X1,X2,X3),X1,X0),
inference(superposition,[status(thm)],[c_480073,c_223]) ).
tcf(c_484689,plain,
! [X0: $i] :
( s_t(sK1,sK0,sK2)
| sameside(sK2,sK0,X0)
| ~ sameside(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_482385,c_137]) ).
tcf(c_484699,plain,
! [X0: $i] :
( s_t(sK1,sK0,sK3)
| sameside(sK3,sK0,X0)
| ~ sameside(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_483866,c_137]) ).
tcf(c_484709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(ext(X0,X1,X2,X3),X0,X1),
inference(superposition,[status(thm)],[c_52,c_224]) ).
tcf(c_484710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X1,ip(X0,X1,X2,X3,X4))
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_56,c_224]) ).
tcf(c_484711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X4,ip(X0,X1,X2,X3,X4))
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_224]) ).
tcf(c_484714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X2,X3,crossbar(X0,X1,X2,X4,X5,X3))
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_224]) ).
tcf(c_484715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X5,X1,crossbar(X0,X1,X2,X4,X5,X3))
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_224]) ).
tcf(c_484716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(ins(X2,X3,X0,X1),X0,X1)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_110,c_224]) ).
tcf(c_484717,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(c63(X0,X1,X2),X0,X1)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_129,c_224]) ).
tcf(c_484718,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(c63(X0,X1,X2),X2,X1)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_130,c_224]) ).
tcf(c_484719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(X3,X2),s(X3,X0),s(X3,X1))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_167,c_224]) ).
tcf(c_484720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,ext(X0,X1,X2,X3),X1),
inference(superposition,[status(thm)],[c_480073,c_224]) ).
tcf(c_484747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,ext(X1,X0,X2,X3),X1),
inference(superposition,[status(thm)],[c_52,c_225]) ).
tcf(c_484748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ip(X0,X1,X2,X3,X4),X3,X1)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_56,c_225]) ).
tcf(c_484749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ip(X0,X1,X2,X3,X4),X0,X4)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_225]) ).
tcf(c_484752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(crossbar(X0,X1,X2,X4,X5,X3),X2,X3)
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_225]) ).
tcf(c_484753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(crossbar(X0,X1,X2,X4,X5,X3),X5,X1)
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_225]) ).
tcf(c_484754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,ins(X2,X3,X0,X1),X0)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_110,c_225]) ).
tcf(c_484755,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,c63(X0,X1,X2),X0)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_129,c_225]) ).
tcf(c_484756,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,c63(X0,X1,X2),X2)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_130,c_225]) ).
tcf(c_484757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(X3,X1),s(X3,X2),s(X3,X0))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_167,c_225]) ).
tcf(c_484758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,X1,ext(X1,X0,X2,X3)),
inference(superposition,[status(thm)],[c_480073,c_225]) ).
tcf(c_484785,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X1,X2)
| ~ le(X0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480032,c_231]) ).
tcf(c_484786,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(ext(X2,X2,alpha,gamma),X2,X0,X1) = X2 )
| ~ le(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_231,c_55]) ).
tcf(c_484787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3,X2)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_231,c_225]) ).
tcf(c_484788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X3,X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_231,c_224]) ).
tcf(c_484789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_231,c_223]) ).
tcf(c_484790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ext(ext(X2,X0,alpha,gamma),X0,X3,X4) = X1 )
| ~ le(X3,X4,X0,X2)
| ~ s_r(X2,X1,ext(ext(X2,X0,alpha,gamma),X0,X3,X4))
| ~ s_r(X0,X1,ext(ext(X2,X0,alpha,gamma),X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_231,c_184]) ).
tcf(c_484791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,X1)
| s_t(X0,X2,X1)
| ( ext(ext(X1,X2,alpha,gamma),X2,X3,X4) = X1 )
| ~ le(X3,X4,X2,X1)
| ~ s_t(X0,ext(ext(X1,X2,alpha,gamma),X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_231,c_147]) ).
tcf(c_484792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(ext(X1,X2,alpha,gamma),X2,X3,X4),X2)
| ( ext(ext(X1,X2,alpha,gamma),X2,X3,X4) = X2 )
| ( ext(ext(X1,X2,alpha,gamma),X2,X3,X4) = X1 )
| ~ le(X3,X4,X2,X1)
| ~ sameside(X0,ext(ext(X1,X2,alpha,gamma),X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_231,c_145]) ).
tcf(c_484793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,ext(ext(X1,X2,alpha,gamma),X2,X3,X4),X2)
| sameside(X0,ext(ext(X1,X2,alpha,gamma),X2,X3,X4),X1)
| ( ext(ext(X1,X2,alpha,gamma),X2,X3,X4) = X2 )
| ( ext(ext(X1,X2,alpha,gamma),X2,X3,X4) = X1 )
| ( ext(ext(X1,X2,alpha,gamma),X2,X3,X4) = X0 )
| ~ le(X3,X4,X2,X1)
| ~ s_col(X0,ext(ext(X1,X2,alpha,gamma),X2,X3,X4),X2) ),
inference(superposition,[status(thm)],[c_231,c_143]) ).
tcf(c_484794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ le(X2,X3,X0,X1)
| ~ sameside(X0,ext(ext(X1,X0,alpha,gamma),X0,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_231,c_133]) ).
tcf(c_484795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,ext(ext(X1,X2,alpha,gamma),X2,X3,X4),X0)
| ( ext(ext(X1,X2,alpha,gamma),X2,X3,X4) = X2 )
| ( ext(ext(X1,X2,alpha,gamma),X2,X3,X4) = X1 )
| ( ext(ext(X1,X2,alpha,gamma),X2,X3,X4) = X0 )
| ~ le(X3,X4,X2,X1)
| ~ s_t(X0,ext(ext(X1,X2,alpha,gamma),X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_231,c_131]) ).
tcf(c_484796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ext(ext(X1,X0,alpha,gamma),X0,X2,X3),X1)
| ( ext(ext(X1,X0,alpha,gamma),X0,X2,X3) = X4 )
| ( ext(ext(X1,X0,alpha,gamma),X0,X2,X3) = X1 )
| ( ext(ext(X1,X0,alpha,gamma),X0,X2,X3) = X0 )
| ~ le(X2,X3,X0,X1)
| ~ sameside(X0,ext(ext(X1,X0,alpha,gamma),X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_231,c_125]) ).
tcf(c_484797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X4,ext(ext(X3,X2,alpha,gamma),X2,X0,X1))
| s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X4)
| ~ s_t(X2,X4,X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_231,c_109]) ).
tcf(c_484798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(ext(X1,X0,alpha,gamma),X0,X2,X3),X4,X1)
| s_t(ext(ext(X1,X0,alpha,gamma),X0,X2,X3),X1,X4)
| ( ext(ext(X1,X0,alpha,gamma),X0,X2,X3) = X0 )
| ~ le(X2,X3,X0,X1)
| ~ s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_231,c_108]) ).
tcf(c_484799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,X1)
| s_t(X0,X1,X4)
| ( ext(ext(X1,X0,alpha,gamma),X0,X2,X3) = X0 )
| ~ le(X2,X3,X0,X1)
| ~ s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_231,c_107]) ).
tcf(c_484800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X4)
| ( ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X0 )
| ~ le(X2,X3,X1,X0)
| ~ s_t(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_231,c_81]) ).
tcf(c_484801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X4)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_231,c_80]) ).
tcf(c_484802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X4,X0)
| ~ le(X2,X3,X1,X0)
| ~ s_t(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_231,c_79]) ).
tcf(c_484803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,X4)
| ( ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X0 )
| ~ le(X2,X3,X1,X0)
| ~ s_t(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_231,c_78]) ).
tcf(c_484804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3,X4)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_231,c_77]) ).
tcf(c_484805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X4)
| ~ le(X2,X3,X1,X0)
| ~ s_t(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_231,c_76]) ).
tcf(c_484806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X1 )
| ~ le(X2,X3,X1,X0)
| ~ s_t(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X0) ),
inference(superposition,[status(thm)],[c_231,c_75]) ).
tcf(c_484807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X2)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_231,c_73]) ).
tcf(c_484957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_r(X0,X1,ext(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_484594,c_187]) ).
tcf(c_484958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(ext(X1,X0,X3,X4),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_484594,c_181]) ).
tcf(c_484959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X7)
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(X2,X3,X4,X5) = X6 )
| ~ s_col(X2,X3,X7)
| ~ s_col(X2,X3,X6)
| ~ s_col(X0,X1,X6)
| ~ s_col(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_484594,c_152]) ).
tcf(c_484960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(ext(X0,X1,X4,X5),X2,X3)
| ( X0 = X1 )
| ( ext(X0,X1,X4,X5) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_484594,c_151]) ).
tcf(c_484961,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X0,X1,X3,X4),X2)
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_484594,c_148]) ).
tcf(c_484968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(X0,X1,X4,X6,X7)
| ( X6 = X7 )
| ( X4 = X5 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X4 )
| ~ s_col(X6,X7,X5)
| ~ s_col(X6,X7,X4)
| ~ s_col(X0,X1,X4)
| ~ s_r(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_484594,c_200]) ).
tcf(c_485030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_r(ext(X0,X1,X2,X3),X1,X0) ),
inference(superposition,[status(thm)],[c_484605,c_187]) ).
tcf(c_485031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X1,ext(X1,X0,X2,X3),X4)
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_r(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_484605,c_181]) ).
tcf(c_485032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X6,X7,X5)
| ( X6 = X7 )
| ( X0 = X4 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_col(X6,X7,X4)
| ~ s_col(X6,X7,X0)
| ~ s_col(ext(X0,X1,X2,X3),X1,X5)
| ~ s_col(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_484605,c_152]) ).
tcf(c_485033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X4,X5)
| ( X0 = X4 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_col(ext(X0,X1,X2,X3),X1,X5)
| ~ s_col(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_484605,c_151]) ).
tcf(c_485034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,X1,X2,X3),X0,X4)
| ( ext(X0,X1,X2,X3) = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_484605,c_148]) ).
tcf(c_485041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(ext(X0,X1,X2,X3),X1,X4,X5,X6)
| ( X5 = X6 )
| ( X4 = X7 )
| ( X0 = X4 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_r(X0,X4,X7)
| ~ s_col(X5,X6,X7)
| ~ s_col(X5,X6,X4)
| ~ s_col(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_484605,c_200]) ).
tcf(c_485101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(X3,X4,X1)
| s_col(X3,X0,X1)
| ( ext(ext(X2,X1,alpha,gamma),X1,X3,X0) = X0 )
| ~ s_col(X3,X4,X1)
| ~ le(X3,X0,X1,X2)
| ~ s_col(X0,X4,ext(ext(X2,X1,alpha,gamma),X1,X3,X0))
| ~ s_e(X0,X1,ext(ext(X2,X1,alpha,gamma),X1,X3,X0),X3) ),
inference(superposition,[status(thm)],[c_232,c_175]) ).
tcf(c_485102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X3,X5,ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X4)
| ~ sameside(X3,X2,X5)
| ~ le(X2,X3,X1,X0)
| ~ s_e(X2,X5,X1,X4)
| ~ sameside(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_232,c_154]) ).
tcf(c_485103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X4 )
| ( X0 = X5 )
| ( ext(ext(X3,X2,alpha,gamma),X2,X0,X4) = X2 )
| ~ sameside(X4,X0,X5)
| ~ sameside(X1,X0,X5)
| ~ le(X0,X4,X2,X3)
| ~ s_e(X0,X1,X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X4)) ),
inference(superposition,[status(thm)],[c_232,c_140]) ).
tcf(c_485104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X6,ext(ext(X7,X6,alpha,gamma),X6,X4,X5),X2,X3)
| ~ le(X4,X5,X6,X7)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_232,c_114]) ).
tcf(c_485105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X4,X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1))
| ~ s_t(X0,X4,X1)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_232,c_113]) ).
tcf(c_485106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,ext(ext(ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X2,alpha,gamma),X2,X0,X4),ext(ext(X3,X2,alpha,gamma),X2,X0,X1))
| ~ s_t(X0,X4,X1)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_232,c_91]) ).
tcf(c_485107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X0,X4,X2)
| ~ s_t(X5,X0,X1)
| ~ le(X5,X1,X4,X3)
| ~ s_t(X4,X2,ext(ext(X3,X4,alpha,gamma),X4,X5,X1))
| ~ s_e(X0,X1,X2,ext(ext(X3,X4,alpha,gamma),X4,X5,X1)) ),
inference(superposition,[status(thm)],[c_232,c_90]) ).
tcf(c_485108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X3,X5,X0,ext(ext(X2,X1,alpha,gamma),X1,X3,X4))
| ~ s_t(X3,X4,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_e(X4,X5,X0,X1)
| ~ s_t(X0,X1,ext(ext(X2,X1,alpha,gamma),X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_232,c_71]) ).
tcf(c_485109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X0,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X2)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_232,c_70]) ).
tcf(c_485110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X4 )
| ( ext(X4,X0,X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1)) = X1 )
| ~ s_t(X4,X0,X1)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_232,c_68]) ).
tcf(c_485111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X3,X5)
| ~ s_t(X4,X0,X1)
| ~ le(X4,X0,X3,X2)
| ~ s_t(X3,ext(ext(X2,X3,alpha,gamma),X3,X4,X0),X5)
| ~ s_e(X0,X1,ext(ext(X2,X3,alpha,gamma),X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_232,c_67]) ).
tcf(c_485112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X1,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X2)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_232,c_65]) ).
tcf(c_485113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X0,X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_232,c_64]) ).
tcf(c_485114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X3,X4,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X0,ext(ext(X1,X0,alpha,gamma),X0,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_232,c_63]) ).
tcf(c_485115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X0,X1)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_232,c_62]) ).
tcf(c_485116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X1,X7,X5)
| ( X0 = X4 )
| ~ s_t(X4,X0,X6)
| ~ le(X4,X0,X3,X2)
| ~ s_e(X4,X1,X3,X5)
| ~ s_t(X3,ext(ext(X2,X3,alpha,gamma),X3,X4,X0),X7)
| ~ s_e(X0,X6,ext(ext(X2,X3,alpha,gamma),X3,X4,X0),X7)
| ~ s_e(X0,X1,ext(ext(X2,X3,alpha,gamma),X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_232,c_54]) ).
tcf(c_485117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,ext(ext(X5,X4,alpha,gamma),X4,X0,X1),X2,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_232,c_50]) ).
tcf(c_485118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X1,X4)
| ~ s_m(X5,X6,X0)
| ~ s_t(X5,X1,X3)
| ~ le(X1,X3,X1,X2)
| ~ s_e(X1,X5,X1,X0)
| ~ s_m(X3,X4,ext(ext(X2,X1,alpha,gamma),X1,X1,X3))
| ~ s_t(X0,X1,ext(ext(X2,X1,alpha,gamma),X1,X1,X3)) ),
inference(superposition,[status(thm)],[c_232,c_178]) ).
tcf(c_485119,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X1,isomidpoint(X1,ext(ext(X2,X0,alpha,gamma),X0,X0,X1),X0),ext(ext(X2,X0,alpha,gamma),X0,X0,X1))
| ~ le(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_232,c_179]) ).
tcf(c_485120,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X0,X1,ext(ext(X2,X1,alpha,gamma),X1,X1,X0))
| ( ext(ext(X2,X1,alpha,gamma),X1,X1,X0) = X0 )
| ~ le(X1,X0,X1,X2)
| ~ s_col(X0,X1,ext(ext(X2,X1,alpha,gamma),X1,X1,X0)) ),
inference(superposition,[status(thm)],[c_232,c_174]) ).
tcf(c_485121,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(ext(X1,X0,alpha,gamma),X0,X0,X2) = X2 )
| ~ le(X0,X2,X0,X1)
| ~ s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X0,X2),X2) ),
inference(superposition,[status(thm)],[c_232,c_122]) ).
tcf(c_485122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(ext(X2,X3,alpha,gamma),X3,X3,X1) = X1 )
| ~ s_t(X3,X1,X0)
| ~ le(X3,X1,X3,X2)
| ~ s_e(X0,X1,X0,ext(ext(X2,X3,alpha,gamma),X3,X3,X1)) ),
inference(superposition,[status(thm)],[c_232,c_106]) ).
tcf(c_485123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ( ext(ext(X2,X3,alpha,gamma),X3,X3,X1) = X1 )
| ~ s_col(X3,X0,X1)
| ~ le(X3,X1,X3,X2)
| ~ s_e(X0,X1,X0,ext(ext(X2,X3,alpha,gamma),X3,X3,X1)) ),
inference(superposition,[status(thm)],[c_232,c_105]) ).
tcf(c_485124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X4,ext(ext(X2,X3,alpha,gamma),X3,X3,X1))
| ( X0 = X3 )
| ~ s_col(X3,X0,X4)
| ~ le(X3,X1,X3,X2)
| ~ s_e(X0,X1,X0,ext(ext(X2,X3,alpha,gamma),X3,X3,X1)) ),
inference(superposition,[status(thm)],[c_232,c_104]) ).
tcf(c_485317,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X1,X0,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_49,c_233]) ).
tcf(c_485318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X3,ext(X4,X3,X0,X1),X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_53,c_233]) ).
tcf(c_485320,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X2,X2,X0,X1)
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_66,c_233]) ).
tcf(c_485321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,ins(X2,X3,X0,X1),X2,X4)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_111,c_233]) ).
tcf(c_485322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X1,X2,s(X0,X1),X3)
| ~ s_t(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_166,c_233]) ).
tcf(c_485323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(s(X0,X4),s(X0,X5),s(X0,X1),X3)
| ~ s_e(X4,X5,X1,X2)
| ~ s_t(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_169,c_233]) ).
tcf(c_485324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X2,X3,X0,X4)
| ~ le(X2,X3,X0,X1)
| ~ s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_232,c_233]) ).
tcf(c_485325,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,X0,X2)
| ~ s_t(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_482414,c_233]) ).
tcf(c_485326,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X1,X0,s(X0,X1),X2)
| ~ s_t(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_482416,c_233]) ).
tcf(c_485327,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,s(X0,X1),X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482508,c_233]) ).
tcf(c_485328,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(s(X1,X0),X1,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482602,c_233]) ).
tcf(c_485329,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X1,X0,X0,X2)
| ~ s_t(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_482506,c_233]) ).
tcf(c_485330,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,s(X0,X1),X2)
| ~ s_t(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_482505,c_233]) ).
tcf(c_485331,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(s(X0,X1),X0,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482977,c_233]) ).
tcf(c_485332,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X1,s(X1,X0),X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482962,c_233]) ).
tcf(c_485435,plain,
! [X0: $i,X1: $i] :
( s_t(X1,X0,X0)
| s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_481403,c_236]) ).
tcf(c_485436,plain,
! [X0: $i,X1: $i] :
( s_t(X1,X0,X0)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_135,c_236]) ).
tcf(c_485437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,ext(ext(X0,X1,alpha,gamma),X1,X2,X3))
| s_t(X1,ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X0)
| ( X2 = X3 )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_138,c_236]) ).
tcf(c_485450,plain,
( s_t(sK1,sK2,sK0)
| s_t(sK1,sK0,sK2)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_481489,c_236]) ).
tcf(c_485451,plain,
( s_t(sK2,sK1,sK0)
| s_t(sK1,sK2,sK0)
| s_t(sK1,sK0,sK2) ),
inference(superposition,[status(thm)],[c_481411,c_236]) ).
tcf(c_485452,plain,
( s_t(sK1,sK3,sK0)
| s_t(sK1,sK0,sK3)
| s_t(sK0,sK1,sK3) ),
inference(superposition,[status(thm)],[c_481587,c_236]) ).
tcf(c_485453,plain,
( s_t(sK3,sK1,sK0)
| s_t(sK1,sK3,sK0)
| s_t(sK1,sK0,sK3) ),
inference(superposition,[status(thm)],[c_481412,c_236]) ).
tcf(c_485454,plain,
( s_t(sK2,sK1,sK0)
| s_t(sK2,sK0,sK1)
| s_t(sK1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_481601,c_236]) ).
tcf(c_485455,plain,
( s_t(sK2,sK1,sK0)
| s_t(sK2,sK0,sK1)
| s_t(sK0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_481413,c_236]) ).
tcf(c_485456,plain,
( s_t(sK3,sK1,sK0)
| s_t(sK3,sK0,sK1)
| s_t(sK1,sK3,sK0) ),
inference(superposition,[status(thm)],[c_481874,c_236]) ).
tcf(c_485457,plain,
( s_t(sK3,sK1,sK0)
| s_t(sK3,sK0,sK1)
| s_t(sK0,sK3,sK1) ),
inference(superposition,[status(thm)],[c_481414,c_236]) ).
tcf(c_485458,plain,
( s_t(sK2,sK0,sK1)
| s_t(sK0,sK2,sK1)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_481890,c_236]) ).
tcf(c_485459,plain,
( s_t(sK1,sK0,sK2)
| s_t(sK0,sK2,sK1)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_481415,c_236]) ).
tcf(c_485460,plain,
( s_t(sK3,sK0,sK1)
| s_t(sK0,sK3,sK1)
| s_t(sK0,sK1,sK3) ),
inference(superposition,[status(thm)],[c_482240,c_236]) ).
tcf(c_485461,plain,
( s_t(sK1,sK0,sK3)
| s_t(sK0,sK3,sK1)
| s_t(sK0,sK1,sK3) ),
inference(superposition,[status(thm)],[c_481416,c_236]) ).
tcf(c_485462,plain,
( s_t(sK3,sK1,sK0)
| s_t(sK1,sK3,sK3) ),
inference(superposition,[status(thm)],[c_93606,c_236]) ).
tcf(c_485463,plain,
( s_t(sK3,sK0,sK1)
| s_t(sK0,sK3,sK3) ),
inference(superposition,[status(thm)],[c_93051,c_236]) ).
tcf(c_485464,plain,
( s_t(sK3,sK0,sK0)
| s_t(sK1,sK3,sK0) ),
inference(superposition,[status(thm)],[c_145124,c_236]) ).
tcf(c_485465,plain,
( s_t(sK2,sK0,sK0)
| s_t(sK1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_134040,c_236]) ).
tcf(c_485466,plain,
( s_t(sK3,sK0,sK1)
| s_t(sK0,sK1,sK1) ),
inference(superposition,[status(thm)],[c_158876,c_236]) ).
tcf(c_485467,plain,
( s_t(sK2,sK0,sK1)
| s_t(sK0,sK1,sK1) ),
inference(superposition,[status(thm)],[c_145156,c_236]) ).
tcf(c_485531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_r(ext(X0,X1,X2,X3),X0,X1) ),
inference(superposition,[status(thm)],[c_484709,c_187]) ).
tcf(c_485532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X1,ext(X0,X1,X2,X3),X4)
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_r(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_484709,c_181]) ).
tcf(c_485533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X6,X7,X5)
| ( X6 = X7 )
| ( X1 = X4 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(X6,X7,X4)
| ~ s_col(X6,X7,X1)
| ~ s_col(ext(X0,X1,X2,X3),X0,X5)
| ~ s_col(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_484709,c_152]) ).
tcf(c_485534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X1,X4,X5)
| ( X1 = X4 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(ext(X0,X1,X2,X3),X0,X5)
| ~ s_col(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_484709,c_151]) ).
tcf(c_485535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,X1,X2,X3),X1,X4)
| ( ext(X0,X1,X2,X3) = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_484709,c_148]) ).
tcf(c_485536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(ext(X0,X1,X2,X3),X0,X1)
| s_t(ext(X0,X1,X2,X3),X0,X1) ),
inference(superposition,[status(thm)],[c_484709,c_134]) ).
tcf(c_485542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(ext(X0,X1,X2,X3),X0,X4,X5,X6)
| ( X5 = X6 )
| ( X4 = X7 )
| ( X1 = X4 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_r(X1,X4,X7)
| ~ s_col(X5,X6,X7)
| ~ s_col(X5,X6,X4)
| ~ s_col(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_484709,c_200]) ).
tcf(c_485624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X0,X1,X2,X3) = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_r(X0,ext(X0,X1,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_484720,c_187]) ).
tcf(c_485625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X1,X0,X4)
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_r(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_484720,c_181]) ).
tcf(c_485626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X6,X7,X5)
| ( X6 = X7 )
| ( X1 = X4 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(X6,X7,X4)
| ~ s_col(X6,X7,X1)
| ~ s_col(X0,ext(X0,X1,X2,X3),X5)
| ~ s_col(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_484720,c_152]) ).
tcf(c_485627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X1,X4,X5)
| ( X1 = X4 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(X0,ext(X0,X1,X2,X3),X5)
| ~ s_col(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_484720,c_151]) ).
tcf(c_485628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_484720,c_148]) ).
tcf(c_485629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,ext(X0,X1,X2,X3),X1)
| s_t(X0,ext(X0,X1,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_484720,c_134]) ).
tcf(c_485635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(X0,ext(X0,X1,X2,X3),X4,X5,X6)
| ( X5 = X6 )
| ( X4 = X7 )
| ( X1 = X4 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_r(X1,X4,X7)
| ~ s_col(X5,X6,X7)
| ~ s_col(X5,X6,X4)
| ~ s_col(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_484720,c_200]) ).
tcf(c_485678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,X0,ext(X0,X1,X2,X3))
| ( X0 = xb )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_52,c_237]) ).
tcf(c_485679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(ip(X0,X1,X2,X3,X4),X1,X3)
| ( X1 = xb )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_56,c_237]) ).
tcf(c_485680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(ip(X0,X1,X2,X3,X4),X4,X0)
| ( X4 = xb )
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_237]) ).
tcf(c_485681,plain,
! [X0: $i,X1: $i] :
( sameside(X1,X0,X1)
| ( X0 = xb )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_72,c_237]) ).
tcf(c_485683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(crossbar(X0,X1,X2,X4,X5,X3),X3,X2)
| ( X3 = xb )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_237]) ).
tcf(c_485684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(crossbar(X0,X1,X2,X4,X5,X3),X1,X5)
| ( X1 = xb )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_237]) ).
tcf(c_485685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,X0,ins(X2,X3,X0,X1))
| ( X0 = xb )
| ( X0 = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_110,c_237]) ).
tcf(c_485686,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X1,X0,c63(X0,X1,X2))
| ( X0 = xb )
| ( X0 = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_129,c_237]) ).
tcf(c_485687,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X1,X2,c63(X0,X1,X2))
| ( X2 = xb )
| ( X1 = X2 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_130,c_237]) ).
tcf(c_485688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(X3,X1),s(X3,X0),s(X3,X2))
| ( s(X3,X0) = xb )
| ( s(X3,X0) = s(X3,X1) )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_167,c_237]) ).
tcf(c_485689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X2,X3)
| ( X2 = xb )
| ( ext(ext(X3,X2,alpha,gamma),X2,X0,X1) = X2 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_231,c_237]) ).
tcf(c_485690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,ext(X0,X1,X2,X3),X0)
| ( ext(X0,X1,X2,X3) = xb )
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_480073,c_237]) ).
tcf(c_485795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(ext(X0,X1,X2,X3),X0,X1)
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X0 ) ),
inference(superposition,[status(thm)],[c_52,c_238]) ).
tcf(c_485796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X3,X1,ip(X0,X1,X2,X3,X4))
| ( X1 = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_56,c_238]) ).
tcf(c_485797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X4,ip(X0,X1,X2,X3,X4))
| ( X0 = X4 )
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_238]) ).
tcf(c_485798,plain,
! [X0: $i,X1: $i] :
( sameside(X1,X0,X1)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_72,c_238]) ).
tcf(c_485800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X2,X3,crossbar(X0,X1,X2,X4,X5,X3))
| ( X2 = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_238]) ).
tcf(c_485801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X5,X1,crossbar(X0,X1,X2,X4,X5,X3))
| ( X1 = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_238]) ).
tcf(c_485802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(ins(X2,X3,X0,X1),X0,X1)
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X0 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_110,c_238]) ).
tcf(c_485803,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(c63(X0,X1,X2),X0,X1)
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X0 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_129,c_238]) ).
tcf(c_485804,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(c63(X0,X1,X2),X2,X1)
| ( X1 = X2 )
| ( c63(X0,X1,X2) = X2 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_130,c_238]) ).
tcf(c_485805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(X3,X2),s(X3,X0),s(X3,X1))
| ( s(X3,X0) = s(X3,X2) )
| ( s(X3,X0) = s(X3,X1) )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_167,c_238]) ).
tcf(c_485806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X3,X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1))
| ( X2 = X3 )
| ( ext(ext(X3,X2,alpha,gamma),X2,X0,X1) = X2 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_231,c_238]) ).
tcf(c_485807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,ext(X0,X1,X2,X3),X1)
| ( ext(X0,X1,X2,X3) = X1 )
| ( ext(X0,X1,X2,X3) = X0 ) ),
inference(superposition,[status(thm)],[c_480073,c_238]) ).
tcf(c_485940,plain,
! [X0: $i,X1: $i] : s_t(X0,X1,s(X1,X0)),
inference(superposition,[status(thm)],[c_158,c_239]) ).
tcf(c_485941,plain,
! [X0: $i,X1: $i] : s_t(s(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_480929,c_239]) ).
tcf(c_485944,plain,
! [X0: $i,X1: $i] :
( sameside(s(X0,X1),X1,X0)
| ( X0 = X1 )
| ( s(X0,X1) = X1 ) ),
inference(superposition,[status(thm)],[c_485940,c_238]) ).
tcf(c_485945,plain,
! [X0: $i,X1: $i] :
( sameside(X1,X0,s(X1,X0))
| ( X0 = xb )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_485940,c_237]) ).
tcf(c_485946,plain,
! [X0: $i,X1: $i] : s_col(X0,s(X0,X1),X1),
inference(superposition,[status(thm)],[c_485940,c_225]) ).
tcf(c_485947,plain,
! [X0: $i,X1: $i] : s_col(s(X0,X1),X1,X0),
inference(superposition,[status(thm)],[c_485940,c_224]) ).
tcf(c_485948,plain,
! [X0: $i,X1: $i] : s_col(X0,X1,s(X1,X0)),
inference(superposition,[status(thm)],[c_485940,c_223]) ).
tcf(c_485949,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ s_r(X1,X2,X0)
| ~ s_r(s(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_485940,c_184]) ).
tcf(c_485950,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,s(X1,X2))
| s_t(X0,X2,s(X1,X2))
| ( s(X1,X2) = X1 )
| ~ s_t(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_485940,c_147]) ).
tcf(c_485951,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X1 = X2 )
| ( s(X1,X2) = X1 )
| ~ sameside(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_485940,c_145]) ).
tcf(c_485952,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,s(X1,X2))
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(X1,X2) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_143]) ).
tcf(c_485953,plain,
! [X0: $i,X1: $i] : ~ sameside(X0,X1,s(X1,X0)),
inference(superposition,[status(thm)],[c_485940,c_133]) ).
tcf(c_485954,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(X1,X2) = X1 )
| ~ s_t(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_485940,c_131]) ).
tcf(c_485955,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,s(X1,X0))
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(X1,X0) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_125]) ).
tcf(c_485956,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,X1)
| s_t(X0,X1,X2)
| ~ s_t(X0,X1,s(X2,X0)) ),
inference(superposition,[status(thm)],[c_485940,c_109]) ).
tcf(c_485957,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X2,s(X1,X0))
| s_t(X1,s(X1,X0),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_108]) ).
tcf(c_485958,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,s(X1,X0))
| s_t(X0,s(X1,X0),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_107]) ).
tcf(c_485959,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X0,X2)
| ( s(X0,X1) = X0 )
| ~ s_t(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_485940,c_81]) ).
tcf(c_485960,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,X2)
| ~ s_t(X0,s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_485940,c_80]) ).
tcf(c_485961,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,s(X0,X2))
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_485940,c_79]) ).
tcf(c_485962,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,s(X0,X1),X2)
| ( s(X0,X1) = X0 )
| ~ s_t(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_485940,c_78]) ).
tcf(c_485963,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,s(X1,X0),X2)
| ~ s_t(X0,s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_485940,c_77]) ).
tcf(c_485964,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,X1)
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_485940,c_76]) ).
tcf(c_485965,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ s_t(X0,X1,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_485940,c_75]) ).
tcf(c_486073,plain,
! [X0: $i,X1: $i] :
( sameside(X1,s(X0,X1),X0)
| ( s(X0,X1) = X1 )
| ( s(X0,X1) = X0 ) ),
inference(superposition,[status(thm)],[c_485941,c_238]) ).
tcf(c_486074,plain,
! [X0: $i,X1: $i] :
( sameside(X0,s(X0,X1),X1)
| ( s(X0,X1) = xb )
| ( s(X0,X1) = X0 ) ),
inference(superposition,[status(thm)],[c_485941,c_237]) ).
tcf(c_486075,plain,
! [X0: $i,X1: $i] : s_col(X0,X1,s(X0,X1)),
inference(superposition,[status(thm)],[c_485941,c_225]) ).
tcf(c_486076,plain,
! [X0: $i,X1: $i] : s_col(X0,s(X1,X0),X1),
inference(superposition,[status(thm)],[c_485941,c_224]) ).
tcf(c_486077,plain,
! [X0: $i,X1: $i] : s_col(s(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_485941,c_223]) ).
tcf(c_486079,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,s(X1,X2),X2)
| s_t(s(X1,X2),X0,X2)
| ( X1 = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485941,c_147]) ).
tcf(c_486080,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,s(X1,X2))
| ( X1 = X2 )
| ( s(X1,X2) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485941,c_145]) ).
tcf(c_486081,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,s(X1,X2))
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(X1,X2) = X1 )
| ~ s_col(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_485941,c_143]) ).
tcf(c_486082,plain,
! [X0: $i,X1: $i] : ~ sameside(s(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_485941,c_133]) ).
tcf(c_486083,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(s(X1,X2),X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(X1,X2) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485941,c_131]) ).
tcf(c_486084,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,X1)
| ( X0 = X2 )
| ( X0 = X1 )
| ( s(X0,X1) = X0 )
| ~ sameside(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_485941,c_125]) ).
tcf(c_486085,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,X1),X2,X0)
| s_t(s(X0,X1),X0,X2)
| ~ s_t(s(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_485941,c_109]) ).
tcf(c_486086,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,X1)
| s_t(X0,X1,X2)
| ( s(X0,X1) = X0 )
| ~ s_t(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_485941,c_108]) ).
tcf(c_486087,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,X1),X2,X1)
| s_t(s(X0,X1),X1,X2)
| ( s(X0,X1) = X0 )
| ~ s_t(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_485941,c_107]) ).
tcf(c_486088,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,X1),X0,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485941,c_81]) ).
tcf(c_486089,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,X1),X0,X2)
| ~ s_t(s(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_485941,c_80]) ).
tcf(c_486090,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,X2),X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485941,c_79]) ).
tcf(c_486091,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,X1),X1,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485941,c_78]) ).
tcf(c_486092,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,X2)
| ~ s_t(s(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_485941,c_77]) ).
tcf(c_486093,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,X2),X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485941,c_76]) ).
tcf(c_486094,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X0 )
| ~ s_t(X0,s(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_485941,c_75]) ).
tcf(c_486264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X3,X0,X2)
| ~ s_m(X3,X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_240,c_233]) ).
tcf(c_486265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(X1,X3,X1)
| s_col(X1,X0,X1)
| ( X0 = X2 )
| ~ s_m(X0,X1,X2)
| ~ s_col(X1,X3,X1)
| ~ s_col(X0,X3,X2)
| ~ s_e(X0,X1,X2,X1) ),
inference(superposition,[status(thm)],[c_240,c_175]) ).
tcf(c_486266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X4,X2)
| ~ s_m(X3,X0,X4)
| ~ sameside(X4,X0,X2)
| ~ sameside(X3,X0,X1)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_240,c_154]) ).
tcf(c_486267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X3 )
| ( X0 = X4 )
| ( X0 = X2 )
| ~ s_m(X3,X0,X2)
| ~ sameside(X3,X0,X4)
| ~ sameside(X1,X0,X4)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_240,c_140]) ).
tcf(c_486268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X4,X6,X2,X3)
| ~ s_m(X5,X4,X6)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_240,c_114]) ).
tcf(c_486269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X0,X3)
| ~ s_m(X2,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_240,c_113]) ).
tcf(c_486270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ext(ext(X3,X0,alpha,gamma),X0,X0,X1),X3)
| ~ s_m(X2,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_240,c_91]) ).
tcf(c_486271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X0,X4,X2)
| ~ s_m(X1,X4,X3)
| ~ s_t(X4,X2,X3)
| ~ s_t(X4,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_240,c_90]) ).
tcf(c_486272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X2,X4)
| ~ s_m(X0,X3,X4)
| ~ s_t(X3,X0,X1)
| ~ s_t(X2,X3,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_240,c_71]) ).
tcf(c_486273,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,X2,X1)
| ~ s_m(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_240,c_70]) ).
tcf(c_486274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X1,X3) = X2 )
| ~ s_m(X2,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_240,c_68]) ).
tcf(c_486275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X4,X3)
| ~ s_m(X0,X4,X2)
| ~ s_t(X4,X2,X3)
| ~ s_t(X4,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_240,c_67]) ).
tcf(c_486276,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X0,X2,X1)
| ~ s_m(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_240,c_65]) ).
tcf(c_486277,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,X1,X2)
| ~ s_m(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_240,c_64]) ).
tcf(c_486278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X4,X2,X3)
| ~ s_m(X4,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_240,c_63]) ).
tcf(c_486279,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X2,X1,X0)
| ~ s_m(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_240,c_62]) ).
tcf(c_486280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X4,X1,X5,X3)
| ( X0 = X6 )
| ~ s_m(X0,X6,X2)
| ~ s_t(X6,X2,X5)
| ~ s_t(X6,X0,X4)
| ~ s_e(X6,X1,X6,X3)
| ~ s_e(X0,X4,X2,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_240,c_54]) ).
tcf(c_486281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X4,X2,X3)
| ~ s_m(X1,X0,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_240,c_50]) ).
tcf(c_486282,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ s_m(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_240,c_69]) ).
tcf(c_486283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X0,X5)
| ~ s_m(X3,X5,X4)
| ~ s_m(X3,X0,X4)
| ~ s_m(X1,X6,X2)
| ~ s_t(X2,X0,X4)
| ~ s_t(X1,X0,X3)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_240,c_178]) ).
tcf(c_486286,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_m(X2,X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_240,c_122]) ).
tcf(c_486288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = X3 )
| ~ s_m(X1,X3,X2)
| ~ s_col(X3,X0,X1)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_240,c_105]) ).
tcf(c_486290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X1,X2,X3)
| ~ s_m(s(X0,X1),s(X0,X2),s(X0,X3)) ),
inference(superposition,[status(thm)],[c_240,c_170]) ).
tcf(c_486467,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(ext(X0,X1,X1,X2),X1,X2)
| ~ s_t(ext(X0,X1,X1,X2),X1,X2) ),
inference(superposition,[status(thm)],[c_53,c_241]) ).
tcf(c_486468,plain,
! [X0: $i,X1: $i] :
( s_m(X0,X1,X0)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_61,c_241]) ).
tcf(c_486470,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(ins(X0,X1,X0,X2),X0,X1)
| ~ le(X0,X2,X0,X1)
| ~ s_t(ins(X0,X1,X0,X2),X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_241]) ).
tcf(c_486471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(s(X0,X1),s(X0,X2),s(X0,X3))
| ~ s_e(X2,X1,X2,X3)
| ~ s_t(s(X0,X1),s(X0,X2),s(X0,X3)) ),
inference(superposition,[status(thm)],[c_169,c_241]) ).
tcf(c_486473,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X0,X1,ext(ext(X2,X1,alpha,gamma),X1,X1,X0))
| ~ le(X1,X0,X1,X2)
| ~ s_t(X0,X1,ext(ext(X2,X1,alpha,gamma),X1,X1,X0)) ),
inference(superposition,[status(thm)],[c_232,c_241]) ).
tcf(c_486476,plain,
! [X0: $i] :
( s_m(X0,X0,s(X0,X0))
| ~ s_t(X0,X0,s(X0,X0)) ),
inference(superposition,[status(thm)],[c_482506,c_241]) ).
tcf(c_486477,plain,
! [X0: $i] :
( s_m(s(X0,X0),X0,X0)
| ~ s_t(s(X0,X0),X0,X0) ),
inference(superposition,[status(thm)],[c_482962,c_241]) ).
tcf(c_486480,plain,
! [X0: $i] :
( s_m(X0,X0,X0)
| ~ s_t(X0,X0,X0) ),
inference(light_normalisation,[status(thm)],[c_486477,c_165]) ).
tcf(c_486517,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,s(X1,X2),X0,X2)
| ~ s_r(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_161,c_249]) ).
tcf(c_486519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X2,X0,X3)
| ~ s_r(X0,X1,X2)
| ~ s_t(X0,s(X1,X2),X3) ),
inference(superposition,[status(thm)],[c_249,c_233]) ).
tcf(c_486520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(X1,X3,X1)
| s_col(X1,X0,X1)
| ( s(X2,X0) = X0 )
| ~ s_r(X1,X2,X0)
| ~ s_col(X1,X3,X1)
| ~ s_col(X0,X3,s(X2,X0))
| ~ s_e(X0,X1,s(X2,X0),X1) ),
inference(superposition,[status(thm)],[c_249,c_175]) ).
tcf(c_486521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X4,s(X0,X1),X3)
| ~ s_r(X2,X0,X1)
| ~ sameside(X1,X2,X4)
| ~ s_e(X2,X4,X2,X3)
| ~ sameside(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_249,c_154]) ).
tcf(c_486522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X3 )
| ( X0 = X4 )
| ( s(X2,X3) = X0 )
| ~ s_r(X0,X2,X3)
| ~ sameside(X3,X0,X4)
| ~ sameside(X1,X0,X4)
| ~ s_e(X0,X1,X0,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_249,c_140]) ).
tcf(c_486523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X4,s(X6,X5),X2,X3)
| ~ s_r(X4,X6,X5)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_249,c_114]) ).
tcf(c_486524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X0,s(X3,X2))
| ~ s_r(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_249,c_113]) ).
tcf(c_486525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ext(ext(s(X3,X2),X0,alpha,gamma),X0,X0,X1),s(X3,X2))
| ~ s_r(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_249,c_91]) ).
tcf(c_486526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X0,X4,X2)
| ~ s_r(X4,X3,X1)
| ~ s_t(X4,X0,X1)
| ~ s_t(X4,X2,s(X3,X1))
| ~ s_e(X0,X1,X2,s(X3,X1)) ),
inference(superposition,[status(thm)],[c_249,c_90]) ).
tcf(c_486527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X4,X0,s(X2,X3))
| ~ s_r(X1,X2,X3)
| ~ s_t(X1,X3,X4)
| ~ s_e(X3,X4,X0,X1)
| ~ s_t(X0,X1,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_249,c_71]) ).
tcf(c_486528,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X0,s(X1,X2),X0)
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_249,c_70]) ).
tcf(c_486529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X1,s(X3,X2)) = X2 )
| ~ s_r(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_249,c_68]) ).
tcf(c_486530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X4,X3)
| ~ s_r(X4,X2,X0)
| ~ s_t(X4,X0,X1)
| ~ s_t(X4,s(X2,X0),X3)
| ~ s_e(X0,X1,s(X2,X0),X3) ),
inference(superposition,[status(thm)],[c_249,c_67]) ).
tcf(c_486531,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,s(X1,X2),X0)
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_249,c_65]) ).
tcf(c_486532,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X0,X0,s(X1,X2))
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_249,c_64]) ).
tcf(c_486533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X2,X3,X4)
| ~ s_r(X0,X1,X2)
| ~ s_e(X0,s(X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_249,c_63]) ).
tcf(c_486534,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,s(X1,X2),X0,X2)
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_249,c_62]) ).
tcf(c_486535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X4,X1,X5,X3)
| ( X0 = X6 )
| ~ s_r(X6,X2,X0)
| ~ s_t(X6,X0,X4)
| ~ s_e(X6,X1,X6,X3)
| ~ s_t(X6,s(X2,X0),X5)
| ~ s_e(X0,X4,s(X2,X0),X5)
| ~ s_e(X0,X1,s(X2,X0),X3) ),
inference(superposition,[status(thm)],[c_249,c_54]) ).
tcf(c_486536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,s(X4,X1),X2,X3)
| ~ s_r(X0,X4,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_249,c_50]) ).
tcf(c_486537,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X1 )
| ~ s_r(s(X0,X1),X0,X1) ),
inference(superposition,[status(thm)],[c_249,c_69]) ).
tcf(c_486538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X1,X4)
| ~ s_r(X1,X2,X3)
| ~ s_m(X5,X6,X0)
| ~ s_t(X5,X1,X3)
| ~ s_e(X1,X5,X1,X0)
| ~ s_m(X3,X4,s(X2,X3))
| ~ s_t(X0,X1,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_249,c_178]) ).
tcf(c_486539,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X0,X1,s(X2,X0))
| ~ s_r(X1,X2,X0)
| ~ s_t(X0,X1,s(X2,X0)) ),
inference(superposition,[status(thm)],[c_249,c_241]) ).
tcf(c_486540,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X2,isomidpoint(X2,s(X1,X2),X0),s(X1,X2))
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_249,c_179]) ).
tcf(c_486541,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X0,X1,s(X2,X0))
| ( s(X2,X0) = X0 )
| ~ s_r(X1,X2,X0)
| ~ s_col(X0,X1,s(X2,X0)) ),
inference(superposition,[status(thm)],[c_249,c_174]) ).
tcf(c_486542,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X1,X2) = X2 )
| ~ s_r(X0,X1,X2)
| ~ s_t(X0,s(X1,X2),X2) ),
inference(superposition,[status(thm)],[c_249,c_122]) ).
tcf(c_486543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X2,X1) = X1 )
| ~ s_r(X3,X2,X1)
| ~ s_t(X3,X1,X0)
| ~ s_e(X0,X1,X0,s(X2,X1)) ),
inference(superposition,[status(thm)],[c_249,c_106]) ).
tcf(c_486544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ( s(X2,X1) = X1 )
| ~ s_r(X3,X2,X1)
| ~ s_col(X3,X0,X1)
| ~ s_e(X0,X1,X0,s(X2,X1)) ),
inference(superposition,[status(thm)],[c_249,c_105]) ).
tcf(c_486545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X4,s(X2,X1))
| ( X0 = X3 )
| ~ s_r(X3,X2,X1)
| ~ s_col(X3,X0,X4)
| ~ s_e(X0,X1,X0,s(X2,X1)) ),
inference(superposition,[status(thm)],[c_249,c_104]) ).
tcf(c_486546,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X2,X1,s(X0,X2))
| ~ s_r(s(X0,X1),X0,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_249,c_170]) ).
tcf(c_486706,plain,
! [X0: $i] : s_col(X0,X0,X0),
inference(superposition,[status(thm)],[c_165,c_485946]) ).
tcf(c_486707,plain,
! [X0: $i,X1: $i] :
( s_t(X1,X0,s(X0,X1))
| s_t(X0,s(X0,X1),X1)
| s_t(s(X0,X1),X1,X0) ),
inference(superposition,[status(thm)],[c_485946,c_222]) ).
tcf(c_486708,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X1 )
| ( s(X0,X1) = X0 )
| ~ s_r(X0,s(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_485946,c_187]) ).
tcf(c_486709,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,X0,X2)
| ( s(X0,X1) = X0 )
| ~ s_r(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_485946,c_181]) ).
tcf(c_486710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X1 = X2 )
| ( s(X0,X1) = X0 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X1)
| ~ s_col(X0,s(X0,X1),X3)
| ~ s_col(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_485946,c_152]) ).
tcf(c_486711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| ( X1 = X2 )
| ( s(X0,X1) = X0 )
| ~ s_col(X0,s(X0,X1),X3)
| ~ s_col(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_485946,c_151]) ).
tcf(c_486712,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ( s(X0,X1) = X0 )
| ~ s_col(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_485946,c_148]) ).
tcf(c_486713,plain,
! [X0: $i,X1: $i] :
( sameside(X0,s(X0,X1),X1)
| s_t(X0,s(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_485946,c_134]) ).
tcf(c_486719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,s(X0,X1),X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X1 = X2 )
| ( s(X0,X1) = X0 )
| ~ s_r(X1,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_485946,c_200]) ).
tcf(c_486757,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X0,X1) = X1 )
| ~ s_r(s(X0,X1),X1,X0) ),
inference(superposition,[status(thm)],[c_485947,c_187]) ).
tcf(c_486758,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,s(X1,X0),X2)
| ( s(X1,X0) = X0 )
| ~ s_r(X0,s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_485947,c_181]) ).
tcf(c_486759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X0 = X2 )
| ( s(X0,X1) = X1 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X0)
| ~ s_col(s(X0,X1),X1,X3)
| ~ s_col(s(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_485947,c_152]) ).
tcf(c_486760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X2,X3)
| ( X0 = X2 )
| ( s(X0,X1) = X1 )
| ~ s_col(s(X0,X1),X1,X3)
| ~ s_col(s(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_485947,c_151]) ).
tcf(c_486761,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X0,X2)
| ( s(X0,X1) = X1 )
| ( s(X0,X1) = X0 )
| ~ s_col(s(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_485947,c_148]) ).
tcf(c_486762,plain,
! [X0: $i,X1: $i] :
( sameside(s(X0,X1),X1,X0)
| s_t(s(X0,X1),X1,X0) ),
inference(superposition,[status(thm)],[c_485947,c_134]) ).
tcf(c_486768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(s(X0,X1),X1,X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X0 = X2 )
| ( s(X0,X1) = X1 )
| ~ s_r(X0,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(s(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_485947,c_200]) ).
tcf(c_486807,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(s(X2,X0),X2,s(X2,X1))
| ~ s_e(X0,X1,X0,s(X2,X1)) ),
inference(superposition,[status(thm)],[c_169,c_250]) ).
tcf(c_486808,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,X2,X0)
| ~ s_m(X0,X1,s(X2,X0)) ),
inference(superposition,[status(thm)],[c_240,c_250]) ).
tcf(c_486811,plain,
! [X0: $i] : s_r(X0,X0,X0),
inference(superposition,[status(thm)],[c_482506,c_250]) ).
tcf(c_486812,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X0,X1,s(X1,X2))
| ~ s_e(X0,s(X1,X2),X0,X2) ),
inference(superposition,[status(thm)],[c_161,c_250]) ).
tcf(c_486831,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X1,X0) = X1 )
| ~ s_r(X0,X1,s(X1,X0)) ),
inference(superposition,[status(thm)],[c_485948,c_187]) ).
tcf(c_486832,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(s(X0,X1),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485948,c_181]) ).
tcf(c_486833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,X3) = X4 )
| ~ s_col(X3,X2,X5)
| ~ s_col(X3,X2,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_485948,c_152]) ).
tcf(c_486834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(X1,X0),X2,X3)
| ( X0 = X1 )
| ( s(X1,X0) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485948,c_151]) ).
tcf(c_486835,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,X0),X2)
| ( X0 = X1 )
| ( s(X1,X0) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485948,c_148]) ).
tcf(c_486842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X1,X0,X2,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X0,X1) = X2 )
| ~ s_col(X4,X5,X3)
| ~ s_col(X4,X5,X2)
| ~ s_col(X1,X0,X2)
| ~ s_r(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_485948,c_200]) ).
tcf(c_486908,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X0,X1) = X1 )
| ~ s_r(X0,X1,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_486075,c_187]) ).
tcf(c_486909,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(s(X1,X0),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486075,c_181]) ).
tcf(c_486910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,X3) = X4 )
| ~ s_col(X2,X3,X5)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_486075,c_152]) ).
tcf(c_486911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(X0,X1),X2,X3)
| ( X0 = X1 )
| ( s(X0,X1) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486075,c_151]) ).
tcf(c_486912,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,X1),X2)
| ( X0 = X1 )
| ( s(X0,X1) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486075,c_148]) ).
tcf(c_486913,plain,
! [X0: $i,X1: $i] :
( sameside(X0,X1,s(X0,X1))
| s_t(X0,X1,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_486075,c_134]) ).
tcf(c_486919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,X1,X2,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X0,X1) = X2 )
| ~ s_col(X4,X5,X3)
| ~ s_col(X4,X5,X2)
| ~ s_col(X0,X1,X2)
| ~ s_r(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_486075,c_200]) ).
tcf(c_486992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perpAt(X0,X1,X2,X3,X4)
| s_t(X1,f811(X0,X1,X3,X4,X2),X0)
| s_t(X0,X1,f811(X0,X1,X3,X4,X2))
| s_t(f811(X0,X1,X3,X4,X2),X0,X1)
| ( X3 = X4 )
| ( X0 = X1 )
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_222]) ).
tcf(c_486993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perpAt(X0,X1,X4,X2,X3)
| ( X2 = X3 )
| ( X0 = X1 )
| ( f811(X0,X1,X2,X3,X4) = X1 )
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_r(X0,X1,f811(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_256,c_187]) ).
tcf(c_486994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,X1,X2,X3,X4)
| s_r(f811(X0,X1,X3,X4,X2),X0,X5)
| ( X3 = X4 )
| ( X0 = X1 )
| ~ s_r(X1,X0,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_181]) ).
tcf(c_486995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_col(X0,X1,X8)
| perpAt(X2,X3,X6,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( f811(X2,X3,X4,X5,X6) = X7 )
| ~ s_col(X4,X5,X6)
| ~ s_col(X2,X3,X8)
| ~ s_col(X2,X3,X7)
| ~ s_col(X2,X3,X6)
| ~ s_col(X0,X1,X7)
| ~ s_col(X0,X1,f811(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_256,c_152]) ).
tcf(c_486996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( perpAt(X0,X1,X2,X5,X6)
| s_col(f811(X0,X1,X5,X6,X2),X3,X4)
| ( X5 = X6 )
| ( X0 = X1 )
| ( f811(X0,X1,X5,X6,X2) = X3 )
| ~ s_col(X5,X6,X2)
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_151]) ).
tcf(c_486997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,X1,X2,X4,X5)
| s_col(X0,f811(X0,X1,X4,X5,X2),X3)
| ( X4 = X5 )
| ( X0 = X1 )
| ( f811(X0,X1,X4,X5,X2) = X0 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_148]) ).
tcf(c_486998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perpAt(X0,X1,X2,X3,X4)
| sameside(X0,X1,f811(X0,X1,X3,X4,X2))
| s_t(X0,X1,f811(X0,X1,X3,X4,X2))
| ( X3 = X4 )
| ( X0 = X1 )
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_134]) ).
tcf(c_486999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perpAt(X0,X1,X2,X3,X4)
| s_col(X0,f811(X0,X1,X3,X4,X2),X1)
| ( X3 = X4 )
| ( X0 = X1 )
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_98]) ).
tcf(c_487000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perpAt(X0,X1,X2,X3,X4)
| s_col(X1,X0,f811(X0,X1,X3,X4,X2))
| ( X3 = X4 )
| ( X0 = X1 )
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_97]) ).
tcf(c_487001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perpAt(X0,X1,X2,X3,X4)
| s_col(f811(X0,X1,X3,X4,X2),X1,X0)
| ( X3 = X4 )
| ( X0 = X1 )
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_96]) ).
tcf(c_487002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perpAt(X0,X1,X2,X3,X4)
| s_col(f811(X0,X1,X3,X4,X2),X0,X1)
| ( X3 = X4 )
| ( X0 = X1 )
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_95]) ).
tcf(c_487003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perpAt(X0,X1,X2,X3,X4)
| s_col(X1,f811(X0,X1,X3,X4,X2),X0)
| ( X3 = X4 )
| ( X0 = X1 )
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_94]) ).
tcf(c_487004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( perpAt(X0,X1,X5,X7,X8)
| perpAt(X0,X1,X4,X2,X3)
| ( X7 = X8 )
| ( X5 = X6 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( f811(X0,X1,X2,X3,X4) = X5 )
| ~ s_col(X7,X8,X6)
| ~ s_col(X7,X8,X5)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X5)
| ~ s_col(X0,X1,X4)
| ~ s_r(f811(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_256,c_200]) ).
tcf(c_487155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perpAt(X0,X1,X2,X3,X4)
| s_t(X4,g811(X0,X1,X3,X4,X2),X3)
| s_t(X3,X4,g811(X0,X1,X3,X4,X2))
| s_t(g811(X0,X1,X3,X4,X2),X3,X4)
| ( X3 = X4 )
| ( X0 = X1 )
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_222]) ).
tcf(c_487156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perpAt(X2,X3,X4,X0,X1)
| ( X2 = X3 )
| ( X0 = X1 )
| ( g811(X2,X3,X0,X1,X4) = X1 )
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_r(X0,X1,g811(X2,X3,X0,X1,X4)) ),
inference(superposition,[status(thm)],[c_257,c_187]) ).
tcf(c_487157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,X1,X2,X3,X4)
| s_r(g811(X0,X1,X3,X4,X2),X3,X5)
| ( X3 = X4 )
| ( X0 = X1 )
| ~ s_r(X4,X3,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_181]) ).
tcf(c_487158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_col(X0,X1,X8)
| perpAt(X2,X3,X6,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( g811(X2,X3,X4,X5,X6) = X7 )
| ~ s_col(X4,X5,X8)
| ~ s_col(X4,X5,X7)
| ~ s_col(X4,X5,X6)
| ~ s_col(X2,X3,X6)
| ~ s_col(X0,X1,X7)
| ~ s_col(X0,X1,g811(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_257,c_152]) ).
tcf(c_487159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( perpAt(X0,X1,X2,X3,X4)
| s_col(g811(X0,X1,X3,X4,X2),X5,X6)
| ( X3 = X4 )
| ( X0 = X1 )
| ( g811(X0,X1,X3,X4,X2) = X5 )
| ~ s_col(X3,X4,X6)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_151]) ).
tcf(c_487160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,X1,X2,X3,X4)
| s_col(X3,g811(X0,X1,X3,X4,X2),X5)
| ( X3 = X4 )
| ( X0 = X1 )
| ( g811(X0,X1,X3,X4,X2) = X3 )
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_148]) ).
tcf(c_487161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perpAt(X0,X1,X2,X3,X4)
| sameside(X3,X4,g811(X0,X1,X3,X4,X2))
| s_t(X3,X4,g811(X0,X1,X3,X4,X2))
| ( X3 = X4 )
| ( X0 = X1 )
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_134]) ).
tcf(c_487162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perpAt(X0,X1,X2,X3,X4)
| s_col(X3,g811(X0,X1,X3,X4,X2),X4)
| ( X3 = X4 )
| ( X0 = X1 )
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_98]) ).
tcf(c_487163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perpAt(X0,X1,X2,X3,X4)
| s_col(X4,X3,g811(X0,X1,X3,X4,X2))
| ( X3 = X4 )
| ( X0 = X1 )
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_97]) ).
tcf(c_487164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perpAt(X0,X1,X2,X3,X4)
| s_col(g811(X0,X1,X3,X4,X2),X4,X3)
| ( X3 = X4 )
| ( X0 = X1 )
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_96]) ).
tcf(c_487165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perpAt(X0,X1,X2,X3,X4)
| s_col(g811(X0,X1,X3,X4,X2),X3,X4)
| ( X3 = X4 )
| ( X0 = X1 )
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_95]) ).
tcf(c_487166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perpAt(X0,X1,X2,X3,X4)
| s_col(X4,g811(X0,X1,X3,X4,X2),X3)
| ( X3 = X4 )
| ( X0 = X1 )
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_94]) ).
tcf(c_487167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( perpAt(X2,X3,X5,X7,X8)
| perpAt(X0,X1,X4,X2,X3)
| ( X7 = X8 )
| ( X5 = X6 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( g811(X0,X1,X2,X3,X4) = X5 )
| ~ s_col(X7,X8,X6)
| ~ s_col(X7,X8,X5)
| ~ s_col(X2,X3,X5)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_r(g811(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_257,c_200]) ).
tcf(c_487338,plain,
! [X0: $i,X1: $i] :
( ( s(X1,X0) = X1 )
| ( s(X1,X0) = X0 )
| ~ s_r(X0,s(X1,X0),X1) ),
inference(superposition,[status(thm)],[c_486076,c_187]) ).
tcf(c_487339,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X0,X1,X2)
| ( s(X0,X1) = X1 )
| ~ s_r(s(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_486076,c_181]) ).
tcf(c_487340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X1 = X2 )
| ( s(X1,X0) = X0 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X1)
| ~ s_col(X0,s(X1,X0),X3)
| ~ s_col(X0,s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_486076,c_152]) ).
tcf(c_487341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| ( X1 = X2 )
| ( s(X1,X0) = X0 )
| ~ s_col(X0,s(X1,X0),X3)
| ~ s_col(X0,s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_486076,c_151]) ).
tcf(c_487342,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ( s(X1,X0) = X0 )
| ~ s_col(X0,s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_486076,c_148]) ).
tcf(c_487343,plain,
! [X0: $i,X1: $i] :
( sameside(X0,s(X1,X0),X1)
| s_t(X0,s(X1,X0),X1) ),
inference(superposition,[status(thm)],[c_486076,c_134]) ).
tcf(c_487349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,s(X1,X0),X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X1 = X2 )
| ( s(X1,X0) = X0 )
| ~ s_r(X1,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_486076,c_200]) ).
tcf(c_487402,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,s(X0,X1),X2)
| ( s(X0,X1) = X0 )
| ~ s_r(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_486077,c_181]) ).
tcf(c_487403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X1 = X2 )
| ( s(X0,X1) = X0 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X1)
| ~ s_col(s(X0,X1),X0,X3)
| ~ s_col(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_486077,c_152]) ).
tcf(c_487404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| ( X1 = X2 )
| ( s(X0,X1) = X0 )
| ~ s_col(s(X0,X1),X0,X3)
| ~ s_col(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_486077,c_151]) ).
tcf(c_487405,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X1,X2)
| ( s(X0,X1) = X1 )
| ( s(X0,X1) = X0 )
| ~ s_col(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_486077,c_148]) ).
tcf(c_487412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(s(X0,X1),X0,X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X1 = X2 )
| ( s(X0,X1) = X0 )
| ~ s_r(X1,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_486077,c_200]) ).
tcf(c_487484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_r(X4,il(X0,X1,X2,X3),X5)
| ~ s_col(X2,X3,X5)
| ~ s_col(X0,X1,X4)
| ~ perp(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_259,c_255]) ).
tcf(c_487485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X2,X3,il(X0,X1,X2,X3))
| ~ perp(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_259,c_252]) ).
tcf(c_487486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,il(X0,X1,X2,X3))
| ~ perp(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_259,c_251]) ).
tcf(c_487487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(X2,X3,il(X0,X1,X2,X3),X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_259,c_189]) ).
tcf(c_487488,plain,
! [X0: $i,X1: $i,X2: $i] : ~ perp(X0,X0,X1,X2),
inference(superposition,[status(thm)],[c_259,c_253]) ).
tcf(c_487489,plain,
! [X0: $i,X1: $i,X2: $i] : ~ perp(X0,X1,X2,X2),
inference(superposition,[status(thm)],[c_259,c_254]) ).
tcf(c_487545,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X1,X0,X1)
| ~ s_t(X0,X2,X1)
| ~ le(X0,X1,X2,X1) ),
inference(superposition,[status(thm)],[c_321,c_117]) ).
tcf(c_487546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X4,X1,X2,X3)
| ~ s_t(X0,X4,X1)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_321,c_116]) ).
tcf(c_487547,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(X1,X2,ext(ext(X2,X0,alpha,gamma),X0,X1,X2),X2) = ins(X0,X2,X1,X2) )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_321,c_112]) ).
tcf(c_487549,plain,
! [X0: $i,X1: $i] :
( s_t(X1,X0,X0)
| ~ s_col(X1,X0,X0)
| ~ s_t(X1,X1,X0)
| ~ le(X0,X0,X1,X0) ),
inference(superposition,[status(thm)],[c_321,c_123]) ).
tcf(c_487580,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X0,X1)
| ~ s_t(X0,X2,X1)
| ~ le(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_323,c_117]) ).
tcf(c_487581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X4,X2,X3)
| ~ s_t(X0,X4,X1)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_323,c_116]) ).
tcf(c_487582,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(X0,X1,ext(ext(X2,X0,alpha,gamma),X0,X0,X1),X2) = ins(X0,X2,X0,X1) )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_323,c_112]) ).
tcf(c_487628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X6,X1,X2,X5)
| ( X0 = X4 )
| ~ s_col(X4,X0,X6)
| ~ s_t(X4,X0,X6)
| ~ s_e(X4,X6,X3,X2)
| ~ s_e(X4,X1,X3,X5)
| ~ s_e(X0,X1,ext(ext(X2,X3,alpha,gamma),X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_92,c_2450]) ).
tcf(c_487629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X6,X4,insert5(X0,X1,X6,X2,X3),X5)
| ( X0 = X1 )
| ~ s_col(X0,X1,X6)
| ~ s_e(X1,X4,X3,X5)
| ~ s_e(X0,X4,X2,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_102,c_2450]) ).
tcf(c_487630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X4,X6,X5,X7)
| ( X0 = X1 )
| ~ s_col(X0,X1,X4)
| ~ s_e(X1,X6,X3,X7)
| ~ s_e(X1,X4,X3,X5)
| ~ s_e(X0,X6,X2,X7)
| ~ s_e(X0,X4,X2,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_221,c_2450]) ).
tcf(c_487682,plain,
! [X0: $i] : ~ sameside(X0,X0,X0),
inference(superposition,[status(thm)],[c_165,c_485953]) ).
tcf(c_487699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,X3)
| ~ s_t(X2,X5,X0)
| ~ s_t(X0,X4,X2)
| ~ s_e(X4,X2,X5,X0)
| ~ s_e(X2,X1,X0,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_49,c_2500]) ).
tcf(c_487700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X4,X7,X5)
| ~ s_t(X2,X7,X3)
| ~ s_e(X1,X4,X2,X5)
| ~ s_t(X1,X6,ext(X0,X1,X2,X3))
| ~ s_e(X6,ext(X0,X1,X2,X3),X7,X3)
| ~ s_e(ext(X0,X1,X2,X3),X4,X3,X5) ),
inference(superposition,[status(thm)],[c_53,c_2500]) ).
tcf(c_487701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X4,X3)
| ~ s_e(X4,X3,X5,X3)
| ~ s_e(X3,X1,X3,X2)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_61,c_2500]) ).
tcf(c_487702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,X3)
| ~ s_t(X2,X5,X2)
| ~ s_t(X0,X4,X0)
| ~ s_e(X4,X0,X5,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_66,c_2500]) ).
tcf(c_487703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X4,X7,X5)
| ~ s_t(X0,X7,X1)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X4,X0,X5)
| ~ s_t(X2,X6,ins(X0,X1,X2,X3))
| ~ s_e(X6,ins(X0,X1,X2,X3),X7,X1)
| ~ s_e(ins(X0,X1,X2,X3),X4,X1,X5) ),
inference(superposition,[status(thm)],[c_111,c_2500]) ).
tcf(c_487704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X6,X4,X2,X5)
| ~ s_t(X1,X6,X3)
| ~ s_e(X6,X3,X2,s(X0,X3))
| ~ s_e(X3,X4,s(X0,X3),X5)
| ~ s_e(X1,X4,s(X0,X1),X5)
| ~ s_t(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_166,c_2500]) ).
tcf(c_487705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_e(X7,X2,X8,X4)
| ~ s_e(X1,X5,X3,X6)
| ~ s_t(s(X0,X3),X8,s(X0,X6))
| ~ s_t(s(X0,X1),X7,s(X0,X5))
| ~ s_e(X7,s(X0,X5),X8,s(X0,X6))
| ~ s_e(s(X0,X5),X2,s(X0,X6),X4)
| ~ s_e(s(X0,X1),X2,s(X0,X3),X4) ),
inference(superposition,[status(thm)],[c_169,c_2500]) ).
tcf(c_487706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X1,X6,X3)
| ~ s_m(X0,X4,X2)
| ~ s_t(X4,X6,X2)
| ~ s_t(X4,X5,X0)
| ~ s_e(X5,X0,X6,X2)
| ~ s_e(X4,X1,X4,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_240,c_2500]) ).
tcf(c_487707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X1,X7,X5)
| ~ s_t(X4,X6,X0)
| ~ le(X4,X0,X3,X2)
| ~ s_e(X4,X1,X3,X5)
| ~ s_t(X3,X7,ext(ext(X2,X3,alpha,gamma),X3,X4,X0))
| ~ s_e(X6,X0,X7,ext(ext(X2,X3,alpha,gamma),X3,X4,X0))
| ~ s_e(X0,X1,ext(ext(X2,X3,alpha,gamma),X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_232,c_2500]) ).
tcf(c_487708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X4,X1,X5,X3)
| ~ s_r(X6,X2,X0)
| ~ s_t(X6,X4,X0)
| ~ s_e(X6,X1,X6,X3)
| ~ s_t(X6,X5,s(X2,X0))
| ~ s_e(X4,X0,X5,s(X2,X0))
| ~ s_e(X0,X1,s(X2,X0),X3) ),
inference(superposition,[status(thm)],[c_249,c_2500]) ).
tcf(c_487709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,X3)
| ~ s_t(X2,X4,X0)
| ~ s_e(X2,X1,X2,X3)
| ~ s_t(X2,X5,s(X2,X0))
| ~ s_e(X4,X0,X5,s(X2,X0))
| ~ s_e(X0,X1,s(X2,X0),X3) ),
inference(superposition,[status(thm)],[c_482414,c_2500]) ).
tcf(c_487710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X1,X4,X3)
| ~ s_t(X0,X5,X2)
| ~ s_e(X5,X2,X4,X2)
| ~ s_e(X2,X1,X2,X3)
| ~ s_t(s(X2,X0),X4,X2)
| ~ s_e(X0,X1,s(X2,X0),X3) ),
inference(superposition,[status(thm)],[c_482416,c_2500]) ).
tcf(c_487711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X2,X5,X3)
| ~ s_t(X0,X5,X1)
| ~ s_e(X0,X2,X0,X3)
| ~ s_t(X0,X4,s(X0,X1))
| ~ s_e(X4,s(X0,X1),X5,X1)
| ~ s_e(s(X0,X1),X2,X1,X3) ),
inference(superposition,[status(thm)],[c_482508,c_2500]) ).
tcf(c_487712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X2,X5,X3)
| ~ s_t(X1,X5,X0)
| ~ s_e(X4,X0,X5,X0)
| ~ s_e(X0,X2,X0,X3)
| ~ s_t(s(X0,X1),X4,X0)
| ~ s_e(s(X0,X1),X2,X1,X3) ),
inference(superposition,[status(thm)],[c_482602,c_2500]) ).
tcf(c_487713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,X3)
| ~ s_t(X2,X4,X0)
| ~ s_e(X2,X1,X0,X3)
| ~ s_t(X0,X5,s(X0,X2))
| ~ s_e(X4,X0,X5,s(X0,X2))
| ~ s_e(X0,X1,s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_482506,c_2500]) ).
tcf(c_487714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X1,X4,X3)
| ~ s_t(X0,X5,X2)
| ~ s_e(X5,X2,X4,X0)
| ~ s_e(X2,X1,X0,X3)
| ~ s_t(s(X0,X2),X4,X0)
| ~ s_e(X0,X1,s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_482505,c_2500]) ).
tcf(c_487715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X2,X5,X3)
| ~ s_t(X0,X5,X1)
| ~ s_e(X4,X0,X5,X1)
| ~ s_e(X0,X2,X1,X3)
| ~ s_t(s(X0,X1),X4,X0)
| ~ s_e(s(X0,X1),X2,X0,X3) ),
inference(superposition,[status(thm)],[c_482977,c_2500]) ).
tcf(c_487716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X2,X5,X3)
| ~ s_t(X1,X5,X0)
| ~ s_e(X0,X2,X1,X3)
| ~ s_t(X0,X4,s(X0,X1))
| ~ s_e(X4,s(X0,X1),X5,X0)
| ~ s_e(s(X0,X1),X2,X0,X3) ),
inference(superposition,[status(thm)],[c_482962,c_2500]) ).
tcf(c_487973,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,isomidpoint(X0,X2,X1),X2)
| ~ s_m(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_15938,c_239]) ).
tcf(c_487974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( isomidpoint(X0,X2,X1) = X3 )
| ~ s_m(X0,X3,X2)
| ~ s_m(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_15938,c_171]) ).
tcf(c_487975,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(isomidpoint(X0,X2,X1),X0) = X2 )
| ~ s_m(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_15938,c_160]) ).
tcf(c_487976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ s_m(X0,X2,X1)
| ~ s_m(X0,isomidpoint(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_15938,c_159]) ).
tcf(c_487977,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X2,isomidpoint(X0,X2,X1),X0)
| ~ s_m(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_15938,c_155]) ).
tcf(c_487996,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,isomidpoint(X2,X0,X1),X0)
| ~ s_m(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_15943,c_239]) ).
tcf(c_487997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( isomidpoint(X2,X0,X1) = X3 )
| ~ s_m(X2,X3,X0)
| ~ s_m(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_15943,c_171]) ).
tcf(c_487998,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(isomidpoint(X2,X0,X1),X2) = X0 )
| ~ s_m(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_15943,c_160]) ).
tcf(c_487999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ s_m(X1,X2,X0)
| ~ s_m(X0,isomidpoint(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_15943,c_159]) ).
tcf(c_488000,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X0,isomidpoint(X2,X0,X1),X2)
| ~ s_m(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_15943,c_155]) ).
tcf(c_488016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X1,X0,X2,X3) = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_r(X0,ext(X1,X0,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_484747,c_187]) ).
tcf(c_488017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X0,X1,X4)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_r(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_484747,c_181]) ).
tcf(c_488018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X6,X7,X5)
| ( X6 = X7 )
| ( X1 = X4 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_col(X6,X7,X4)
| ~ s_col(X6,X7,X1)
| ~ s_col(X0,ext(X1,X0,X2,X3),X5)
| ~ s_col(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_484747,c_152]) ).
tcf(c_488019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X1,X4,X5)
| ( X1 = X4 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_col(X0,ext(X1,X0,X2,X3),X5)
| ~ s_col(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_484747,c_151]) ).
tcf(c_488020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_col(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_484747,c_148]) ).
tcf(c_488021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,ext(X1,X0,X2,X3),X1)
| s_t(X0,ext(X1,X0,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_484747,c_134]) ).
tcf(c_488027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(X0,ext(X1,X0,X2,X3),X4,X5,X6)
| ( X5 = X6 )
| ( X4 = X7 )
| ( X1 = X4 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_r(X1,X4,X7)
| ~ s_col(X5,X6,X7)
| ~ s_col(X5,X6,X4)
| ~ s_col(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_484747,c_200]) ).
tcf(c_488064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X1 )
| ~ s_r(X0,X1,ext(X1,X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_484758,c_187]) ).
tcf(c_488065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(ext(X0,X1,X3,X4),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_484758,c_181]) ).
tcf(c_488066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X7)
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(X2,X3,X4,X5) = X6 )
| ~ s_col(X3,X2,X7)
| ~ s_col(X3,X2,X6)
| ~ s_col(X0,X1,X6)
| ~ s_col(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_484758,c_152]) ).
tcf(c_488067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(ext(X1,X0,X4,X5),X2,X3)
| ( X0 = X1 )
| ( ext(X1,X0,X4,X5) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_484758,c_151]) ).
tcf(c_488068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X1,X0,X3,X4),X2)
| ( X0 = X1 )
| ( ext(X1,X0,X3,X4) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_484758,c_148]) ).
tcf(c_488069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,ext(X1,X0,X2,X3))
| s_t(X0,X1,ext(X1,X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_484758,c_134]) ).
tcf(c_488075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(X1,X0,X4,X6,X7)
| ( X6 = X7 )
| ( X4 = X5 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X4 )
| ~ s_col(X6,X7,X5)
| ~ s_col(X6,X7,X4)
| ~ s_col(X1,X0,X4)
| ~ s_r(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_484758,c_200]) ).
tcf(c_488119,plain,
( sameside(sK3,sK2,sK1)
| s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| ( sK2 = xb )
| ( sK2 = sK3 ) ),
inference(superposition,[status(thm)],[c_30027,c_237]) ).
tcf(c_488120,plain,
( s_col(sK3,sK1,sK2)
| s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_30027,c_225]) ).
tcf(c_488121,plain,
( s_col(sK1,sK2,sK3)
| s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_30027,c_224]) ).
tcf(c_488122,plain,
( s_col(sK2,sK3,sK1)
| s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_30027,c_223]) ).
tcf(c_488123,plain,
! [X0: $i] :
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| ( X0 = sK3 )
| ~ s_r(sK2,X0,sK3)
| ~ s_r(sK1,X0,sK3) ),
inference(superposition,[status(thm)],[c_30027,c_184]) ).
tcf(c_488124,plain,
! [X0: $i] :
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| s_t(sK2,X0,sK1)
| s_t(X0,sK2,sK1)
| ( sK1 = sK3 )
| ~ s_t(X0,sK3,sK1) ),
inference(superposition,[status(thm)],[c_30027,c_147]) ).
tcf(c_488125,plain,
! [X0: $i] :
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| s_col(X0,sK3,sK2)
| ( sK2 = sK3 )
| ( sK1 = sK3 )
| ~ sameside(X0,sK3,sK1) ),
inference(superposition,[status(thm)],[c_30027,c_145]) ).
tcf(c_488126,plain,
! [X0: $i] :
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| sameside(X0,sK3,sK2)
| sameside(X0,sK3,sK1)
| ( sK2 = sK3 )
| ( sK1 = sK3 )
| ( X0 = sK3 )
| ~ s_col(X0,sK3,sK2) ),
inference(superposition,[status(thm)],[c_30027,c_143]) ).
tcf(c_488127,plain,
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| ~ sameside(sK2,sK3,sK1) ),
inference(superposition,[status(thm)],[c_30027,c_133]) ).
tcf(c_488128,plain,
! [X0: $i] :
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| sameside(sK2,sK3,X0)
| ( sK2 = sK3 )
| ( sK1 = sK3 )
| ( X0 = sK3 )
| ~ s_t(X0,sK3,sK1) ),
inference(superposition,[status(thm)],[c_30027,c_131]) ).
tcf(c_488129,plain,
! [X0: $i] :
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| s_t(X0,sK3,sK1)
| ( sK2 = sK3 )
| ( sK1 = sK3 )
| ( X0 = sK3 )
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_30027,c_125]) ).
tcf(c_488130,plain,
! [X0: $i] :
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| s_t(sK2,sK3,X0)
| s_t(sK2,X0,sK3)
| ~ s_t(sK2,X0,sK1) ),
inference(superposition,[status(thm)],[c_30027,c_109]) ).
tcf(c_488131,plain,
! [X0: $i] :
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| s_t(sK3,sK1,X0)
| s_t(sK3,X0,sK1)
| ( sK2 = sK3 )
| ~ s_t(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_30027,c_108]) ).
tcf(c_488132,plain,
! [X0: $i] :
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| s_t(sK2,sK1,X0)
| s_t(sK2,X0,sK1)
| ( sK2 = sK3 )
| ~ s_t(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_30027,c_107]) ).
tcf(c_488133,plain,
! [X0: $i] :
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| s_t(sK2,sK3,X0)
| ( sK1 = sK3 )
| ~ s_t(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_30027,c_81]) ).
tcf(c_488134,plain,
! [X0: $i] :
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| s_t(sK2,sK3,X0)
| ~ s_t(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_30027,c_80]) ).
tcf(c_488135,plain,
! [X0: $i] :
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| s_t(sK2,X0,sK1)
| ~ s_t(sK3,X0,sK1) ),
inference(superposition,[status(thm)],[c_30027,c_79]) ).
tcf(c_488136,plain,
! [X0: $i] :
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| s_t(sK2,sK1,X0)
| ( sK1 = sK3 )
| ~ s_t(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_30027,c_78]) ).
tcf(c_488137,plain,
! [X0: $i] :
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| s_t(sK3,sK1,X0)
| ~ s_t(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_30027,c_77]) ).
tcf(c_488138,plain,
! [X0: $i] :
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| s_t(sK2,sK3,X0)
| ~ s_t(sK3,X0,sK1) ),
inference(superposition,[status(thm)],[c_30027,c_76]) ).
tcf(c_488139,plain,
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| ( sK2 = sK3 )
| ~ s_t(sK3,sK2,sK1) ),
inference(superposition,[status(thm)],[c_30027,c_75]) ).
tcf(c_488140,plain,
( s_t(sK1,sK3,sK2)
| s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_30027,c_73]) ).
tcf(c_488377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,ext(X0,X1,X1,X2),X4,X2)
| ( X1 = X3 )
| ~ s_col(X3,X1,X4)
| ~ s_m(ext(X0,X1,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_53,c_86593]) ).
tcf(c_488378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,X2,X3)
| ( X0 = X1 )
| ~ s_m(X3,X0,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_61,c_86593]) ).
tcf(c_488379,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X1,X2,X1)
| ( X0 = X1 )
| ~ s_m(X1,X0,X1)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_66,c_86593]) ).
tcf(c_488380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,ins(X0,X1,X0,X2),X4,X1)
| ( X0 = X3 )
| ~ s_col(X3,X0,X4)
| ~ le(X0,X2,X0,X1)
| ~ s_m(ins(X0,X1,X0,X2),X3,X1) ),
inference(superposition,[status(thm)],[c_111,c_86593]) ).
tcf(c_488381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,s(X0,X1),X5,s(X0,X3))
| ( s(X0,X4) = X2 )
| ~ s_e(X4,X1,X4,X3)
| ~ s_col(X2,s(X0,X4),X5)
| ~ s_m(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_169,c_86593]) ).
tcf(c_488382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X3,X2,X4)
| ( X0 = X1 )
| ~ s_m(X3,X1,X4)
| ~ s_m(X3,X0,X4)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_240,c_86593]) ).
tcf(c_488383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X0,X4,ext(ext(X2,X3,alpha,gamma),X3,X3,X0))
| ( X1 = X3 )
| ~ s_col(X1,X3,X4)
| ~ le(X3,X0,X3,X2)
| ~ s_m(X0,X1,ext(ext(X2,X3,alpha,gamma),X3,X3,X0)) ),
inference(superposition,[status(thm)],[c_232,c_86593]) ).
tcf(c_488384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X0,X4,s(X2,X0))
| ( X1 = X3 )
| ~ s_r(X3,X2,X0)
| ~ s_col(X1,X3,X4)
| ~ s_m(X0,X1,s(X2,X0)) ),
inference(superposition,[status(thm)],[c_249,c_86593]) ).
tcf(c_488385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X0,X3,s(X2,X0))
| ( X1 = X2 )
| ~ s_col(X1,X2,X3)
| ~ s_m(X0,X1,s(X2,X0)) ),
inference(superposition,[status(thm)],[c_482414,c_86593]) ).
tcf(c_488386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,s(X0,X1),X3,X1)
| ( X0 = X2 )
| ~ s_col(X2,X0,X3)
| ~ s_m(s(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_482508,c_86593]) ).
tcf(c_488387,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X0,X2,s(X0,X0))
| ( X0 = X1 )
| ~ s_col(X1,X0,X2)
| ~ s_m(X0,X1,s(X0,X0)) ),
inference(superposition,[status(thm)],[c_482506,c_86593]) ).
tcf(c_488388,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,s(X0,X0),X2,X0)
| ( X0 = X1 )
| ~ s_col(X1,X0,X2)
| ~ s_m(s(X0,X0),X1,X0) ),
inference(superposition,[status(thm)],[c_482962,c_86593]) ).
tcf(c_488493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,ext(X2,X3,X3,X0),X4,X0)
| ( X1 = X3 )
| ~ s_col(X1,X3,X4)
| ~ s_m(X0,X1,ext(X2,X3,X3,X0)) ),
inference(superposition,[status(thm)],[c_53,c_86598]) ).
tcf(c_488496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,ins(X2,X0,X2,X3),X4,X0)
| ( X1 = X2 )
| ~ s_col(X1,X2,X4)
| ~ le(X2,X3,X2,X0)
| ~ s_m(X0,X1,ins(X2,X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_111,c_86598]) ).
tcf(c_488497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,s(X0,X3),X5,s(X0,X1))
| ( s(X0,X4) = X2 )
| ~ s_e(X4,X3,X4,X1)
| ~ s_col(X2,s(X0,X4),X5)
| ~ s_m(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_169,c_86598]) ).
tcf(c_488498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X3,X2,X4)
| ( X0 = X1 )
| ~ s_m(X4,X0,X3)
| ~ s_m(X3,X1,X4)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_240,c_86598]) ).
tcf(c_488499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X2,X4,ext(ext(X0,X1,alpha,gamma),X1,X1,X2))
| ( X1 = X3 )
| ~ s_col(X3,X1,X4)
| ~ le(X1,X2,X1,X0)
| ~ s_m(ext(ext(X0,X1,alpha,gamma),X1,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_232,c_86598]) ).
tcf(c_488500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X4,s(X0,X1))
| ( X2 = X3 )
| ~ s_r(X3,X0,X1)
| ~ s_col(X2,X3,X4)
| ~ s_m(s(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_249,c_86598]) ).
tcf(c_488501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X3,s(X0,X1))
| ( X0 = X2 )
| ~ s_col(X2,X0,X3)
| ~ s_m(s(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_482414,c_86598]) ).
tcf(c_488502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,s(X2,X0),X3,X0)
| ( X1 = X2 )
| ~ s_col(X1,X2,X3)
| ~ s_m(X0,X1,s(X2,X0)) ),
inference(superposition,[status(thm)],[c_482508,c_86598]) ).
tcf(c_488503,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X0,X2,s(X0,X0))
| ( X0 = X1 )
| ~ s_col(X1,X0,X2)
| ~ s_m(s(X0,X0),X1,X0) ),
inference(superposition,[status(thm)],[c_482506,c_86598]) ).
tcf(c_488504,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,s(X0,X0),X2,X0)
| ( X0 = X1 )
| ~ s_col(X1,X0,X2)
| ~ s_m(X0,X1,s(X0,X0)) ),
inference(superposition,[status(thm)],[c_482962,c_86598]) ).
tcf(c_488551,plain,
! [X0: $i,X1: $i] :
( s_col(X1,X0,X1)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_485798,c_132]) ).
tcf(c_488555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X1,X7,X5)
| ~ s_t(X4,X6,X0)
| ~ s_e(X4,X1,X3,X5)
| ~ s_t(X3,X7,ext(X2,X3,X4,X0))
| ~ s_e(X6,X0,X7,ext(X2,X3,X4,X0))
| ~ s_e(X0,X1,ext(X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_479942,c_2500]) ).
tcf(c_488556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X2,X3,X0,X4)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_479942,c_233]) ).
tcf(c_488557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(X3,X4,X1)
| s_col(X3,X0,X1)
| ( ext(X2,X1,X3,X0) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X0,X4,ext(X2,X1,X3,X0))
| ~ s_e(X0,X1,ext(X2,X1,X3,X0),X3) ),
inference(superposition,[status(thm)],[c_479942,c_175]) ).
tcf(c_488558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X3,X5,ext(X0,X1,X2,X3),X4)
| ~ sameside(X3,X2,X5)
| ~ s_e(X2,X5,X1,X4)
| ~ sameside(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_479942,c_154]) ).
tcf(c_488559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X4 )
| ( X0 = X5 )
| ( ext(X3,X2,X0,X4) = X2 )
| ~ sameside(X4,X0,X5)
| ~ sameside(X1,X0,X5)
| ~ s_e(X0,X1,X2,ext(X3,X2,X0,X4)) ),
inference(superposition,[status(thm)],[c_479942,c_140]) ).
tcf(c_488560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X6,ext(X7,X6,X4,X5),X2,X3)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_479942,c_114]) ).
tcf(c_488561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,X3,ext(X4,X3,X0,X2))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_479942,c_113]) ).
tcf(c_488562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,ext(ext(ext(X4,X3,X0,X2),X3,alpha,gamma),X3,X0,X1),ext(X4,X3,X0,X2))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_479942,c_91]) ).
tcf(c_488563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X0,X4,X2)
| ~ s_t(X5,X0,X1)
| ~ s_t(X4,X2,ext(X3,X4,X5,X1))
| ~ s_e(X0,X1,X2,ext(X3,X4,X5,X1)) ),
inference(superposition,[status(thm)],[c_479942,c_90]) ).
tcf(c_488564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X3,X5,X0,ext(X2,X1,X3,X4))
| ~ s_t(X3,X4,X5)
| ~ s_e(X4,X5,X0,X1)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_479942,c_71]) ).
tcf(c_488565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_e(X0,X1,ext(X2,X3,X1,X0),X3),
inference(superposition,[status(thm)],[c_479942,c_70]) ).
tcf(c_488566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X3,ext(X4,X3,X1,X2)) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_479942,c_68]) ).
tcf(c_488567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X3,X5)
| ~ s_t(X4,X0,X1)
| ~ s_t(X3,ext(X2,X3,X4,X0),X5)
| ~ s_e(X0,X1,ext(X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_479942,c_67]) ).
tcf(c_488568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_e(X0,X1,ext(X2,X3,X0,X1),X3),
inference(superposition,[status(thm)],[c_479942,c_65]) ).
tcf(c_488569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_e(X0,X1,X2,ext(X3,X2,X1,X0)),
inference(superposition,[status(thm)],[c_479942,c_64]) ).
tcf(c_488572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X1,X7,X5)
| ( X0 = X4 )
| ~ s_t(X4,X0,X6)
| ~ s_e(X4,X1,X3,X5)
| ~ s_t(X3,ext(X2,X3,X4,X0),X7)
| ~ s_e(X0,X6,ext(X2,X3,X4,X0),X7)
| ~ s_e(X0,X1,ext(X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_479942,c_54]) ).
tcf(c_488574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X1,X4)
| ~ s_m(X5,X6,X0)
| ~ s_t(X5,X1,X3)
| ~ s_e(X1,X5,X1,X0)
| ~ s_m(X3,X4,ext(X2,X1,X1,X3))
| ~ s_t(X0,X1,ext(X2,X1,X1,X3)) ),
inference(superposition,[status(thm)],[c_479942,c_178]) ).
tcf(c_488575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X2,X4,ext(X0,X1,X1,X2))
| ( X1 = X3 )
| ~ s_col(X3,X1,X4)
| ~ s_m(ext(X0,X1,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_479942,c_86598]) ).
tcf(c_488576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X0,X4,ext(X2,X3,X3,X0))
| ( X1 = X3 )
| ~ s_col(X1,X3,X4)
| ~ s_m(X0,X1,ext(X2,X3,X3,X0)) ),
inference(superposition,[status(thm)],[c_479942,c_86593]) ).
tcf(c_488577,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X0,X1,ext(X2,X1,X1,X0))
| ~ s_t(X0,X1,ext(X2,X1,X1,X0)) ),
inference(superposition,[status(thm)],[c_479942,c_241]) ).
tcf(c_488578,plain,
! [X0: $i,X1: $i,X2: $i] : s_m(X0,isomidpoint(X0,ext(X1,X2,X2,X0),X2),ext(X1,X2,X2,X0)),
inference(superposition,[status(thm)],[c_479942,c_179]) ).
tcf(c_488579,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X0,X1,ext(X2,X1,X1,X0))
| ( ext(X2,X1,X1,X0) = X0 )
| ~ s_col(X0,X1,ext(X2,X1,X1,X0)) ),
inference(superposition,[status(thm)],[c_479942,c_174]) ).
tcf(c_488580,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(X1,X0,X0,X2) = X2 )
| ~ s_t(X0,ext(X1,X0,X0,X2),X2) ),
inference(superposition,[status(thm)],[c_479942,c_122]) ).
tcf(c_488581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X2,X3,X3,X1) = X1 )
| ~ s_t(X3,X1,X0)
| ~ s_e(X0,X1,X0,ext(X2,X3,X3,X1)) ),
inference(superposition,[status(thm)],[c_479942,c_106]) ).
tcf(c_488582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ( ext(X2,X3,X3,X1) = X1 )
| ~ s_col(X3,X0,X1)
| ~ s_e(X0,X1,X0,ext(X2,X3,X3,X1)) ),
inference(superposition,[status(thm)],[c_479942,c_105]) ).
tcf(c_488583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X4,ext(X2,X3,X3,X1))
| ( X0 = X3 )
| ~ s_col(X3,X0,X4)
| ~ s_e(X0,X1,X0,ext(X2,X3,X3,X1)) ),
inference(superposition,[status(thm)],[c_479942,c_104]) ).
tcf(c_488816,plain,
! [X0: $i,X1: $i] :
( ( s(X0,s(X0,X1)) = s(X0,X1) )
| ~ s_r(s(X0,X1),X0,X1) ),
inference(superposition,[status(thm)],[c_182,c_92900]) ).
tcf(c_488852,plain,
! [X0: $i,X1: $i] :
( ( s(X0,s(X0,X1)) = X0 )
| ~ s_r(s(X0,s(X0,X1)),X0,X1) ),
inference(superposition,[status(thm)],[c_182,c_250249]) ).
tcf(c_488854,plain,
! [X0: $i,X1: $i] :
( ( s(X1,s(X1,X0)) = X1 )
| ~ s_r(X0,X1,s(X1,X0)) ),
inference(superposition,[status(thm)],[c_161,c_250249]) ).
tcf(c_488867,plain,
( s_t(sK2,sK3,sK1)
| s_t(sK2,sK1,sK3)
| s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_251478,c_236]) ).
tcf(c_488868,plain,
! [X0: $i] :
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| sameside(sK1,sK2,X0)
| ~ sameside(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_251478,c_137]) ).
tcf(c_488869,plain,
( sameside(sK3,sK2,sK1)
| s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_251478,c_136]) ).
tcf(c_488886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X4,X7,X5)
| ~ s_t(X2,X7,X3)
| ~ s_e(X6,X1,X7,X3)
| ~ s_e(X1,X4,X3,X5)
| ~ s_t(ext(X0,X1,X2,X3),X6,X1)
| ~ s_e(ext(X0,X1,X2,X3),X4,X2,X5) ),
inference(superposition,[status(thm)],[c_479960,c_2500]) ).
tcf(c_488887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(ext(X3,X4,X0,X1),X4,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_479960,c_233]) ).
tcf(c_488888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(ext(X3,X0,X1,X2),X4,X1)
| s_col(ext(X3,X0,X1,X2),X0,X1)
| ( X0 = X2 )
| ~ s_col(X0,X4,X2)
| ~ s_col(ext(X3,X0,X1,X2),X4,X1)
| ~ s_e(X0,X1,X2,ext(X3,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_479960,c_175]) ).
tcf(c_488889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X1,X4,X3,X5)
| ~ sameside(X3,X2,X5)
| ~ sameside(X1,ext(X0,X1,X2,X3),X4)
| ~ s_e(ext(X0,X1,X2,X3),X4,X2,X5) ),
inference(superposition,[status(thm)],[c_479960,c_154]) ).
tcf(c_488890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X3 )
| ( X1 = X4 )
| ( ext(X0,X1,X2,X3) = X5 )
| ~ sameside(X4,ext(X0,X1,X2,X3),X5)
| ~ sameside(X1,ext(X0,X1,X2,X3),X5)
| ~ s_e(ext(X0,X1,X2,X3),X4,X2,X3) ),
inference(superposition,[status(thm)],[c_479960,c_140]) ).
tcf(c_488891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X2,X3,X6,X7)
| ~ s_e(X4,X5,X6,X7)
| ~ le(ext(X0,X1,X2,X3),X1,X4,X5) ),
inference(superposition,[status(thm)],[c_479960,c_114]) ).
tcf(c_488892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(ext(X0,X1,X2,X3),X4,X2,X3)
| ~ s_t(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_479960,c_113]) ).
tcf(c_488893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,ext(X0,X1,X2,X3),X4),X3)
| ~ s_t(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_479960,c_91]) ).
tcf(c_488894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(ext(X0,X1,X2,X3),X4,X2,X5)
| ~ s_t(X2,X5,X3)
| ~ s_e(X4,X1,X5,X3)
| ~ s_t(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_479960,c_90]) ).
tcf(c_488895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(ext(X0,X1,X2,X3),X4,X5,X3)
| ~ s_t(X5,X2,X3)
| ~ s_e(X1,X4,X5,X2)
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_479960,c_71]) ).
tcf(c_488897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ext(X1,X2,X3,X4) = X0 )
| ( ext(X0,ext(X1,X2,X3,X4),X3,X4) = X2 )
| ~ s_t(X0,ext(X1,X2,X3,X4),X2) ),
inference(superposition,[status(thm)],[c_479960,c_68]) ).
tcf(c_488898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(ext(X0,X1,X2,X3),X4,X2,X5)
| ~ s_t(X2,X3,X5)
| ~ s_e(X1,X4,X3,X5)
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_479960,c_67]) ).
tcf(c_488901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(ext(X4,X5,X0,X1),X5,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_479960,c_63]) ).
tcf(c_488903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X4,X7,X5)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X2,X3,X7)
| ~ s_e(X1,X6,X3,X7)
| ~ s_e(X1,X4,X3,X5)
| ~ s_t(ext(X0,X1,X2,X3),X1,X6)
| ~ s_e(ext(X0,X1,X2,X3),X4,X2,X5) ),
inference(superposition,[status(thm)],[c_479960,c_54]) ).
tcf(c_488904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X3,X4,X5)
| ~ s_e(ext(X0,X1,X2,X3),X1,X4,X5) ),
inference(superposition,[status(thm)],[c_479960,c_50]) ).
tcf(c_488964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X4,X7,X5)
| ~ s_t(X3,X7,X2)
| ~ s_e(X1,X4,X3,X5)
| ~ s_t(X1,X6,ext(X0,X1,X2,X3))
| ~ s_e(X6,ext(X0,X1,X2,X3),X7,X2)
| ~ s_e(ext(X0,X1,X2,X3),X4,X2,X5) ),
inference(superposition,[status(thm)],[c_479974,c_2500]) ).
tcf(c_488965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X3,ext(X4,X3,X1,X0),X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_479974,c_233]) ).
tcf(c_488966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(X1,X4,X3)
| s_col(X1,ext(X0,X1,X2,X3),X3)
| ( ext(X0,X1,X2,X3) = X2 )
| ~ s_col(X1,X4,X3)
| ~ s_col(ext(X0,X1,X2,X3),X4,X2)
| ~ s_e(ext(X0,X1,X2,X3),X3,X2,X1) ),
inference(superposition,[status(thm)],[c_479974,c_175]) ).
tcf(c_488967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(ext(X0,X1,X2,X3),X4,X2,X5)
| ~ sameside(X2,X3,X5)
| ~ s_e(X1,X4,X3,X5)
| ~ sameside(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_479974,c_154]) ).
tcf(c_488968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X3 )
| ( X1 = X4 )
| ( ext(X0,X1,X2,X3) = X5 )
| ~ sameside(X5,X1,X4)
| ~ s_e(X1,X5,X3,X2)
| ~ sameside(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_479974,c_140]) ).
tcf(c_488969,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X3,X2,X6,X7)
| ~ s_e(X4,X5,X6,X7)
| ~ le(X0,ext(X1,X0,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_479974,c_114]) ).
tcf(c_488970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,X4,X3)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_479974,c_113]) ).
tcf(c_488971,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ext(ext(X3,X4,alpha,gamma),X4,X0,X1),X3)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_479974,c_91]) ).
tcf(c_488972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X0,X4,X5)
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,ext(X1,X2,X3,X4))
| ~ s_e(X0,ext(X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_479974,c_90]) ).
tcf(c_488973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X1,X4,X5,X2)
| ~ s_t(X5,X3,X2)
| ~ s_t(X1,ext(X0,X1,X2,X3),X4)
| ~ s_e(ext(X0,X1,X2,X3),X4,X5,X3) ),
inference(superposition,[status(thm)],[c_479974,c_71]) ).
tcf(c_488975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X4,X3) = ext(X2,X1,X3,X4) )
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_479974,c_68]) ).
tcf(c_488976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X1,X4,X3,X5)
| ~ s_t(X3,X2,X5)
| ~ s_t(X1,ext(X0,X1,X2,X3),X4)
| ~ s_e(ext(X0,X1,X2,X3),X4,X2,X5) ),
inference(superposition,[status(thm)],[c_479974,c_67]) ).
tcf(c_488979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,ext(X5,X4,X1,X0),X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_479974,c_63]) ).
tcf(c_488981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X4,X7,X5)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X3,X2,X7)
| ~ s_e(X1,X4,X3,X5)
| ~ s_t(X1,ext(X0,X1,X2,X3),X6)
| ~ s_e(ext(X0,X1,X2,X3),X6,X2,X7)
| ~ s_e(ext(X0,X1,X2,X3),X4,X2,X5) ),
inference(superposition,[status(thm)],[c_479974,c_54]) ).
tcf(c_488982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X3,X2,X4,X5)
| ~ s_e(X0,ext(X1,X0,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_479974,c_50]) ).
tcf(c_488984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X1,X4)
| ~ s_m(X0,X6,X5)
| ~ s_t(X5,X1,X3)
| ~ s_e(X1,X0,X1,X5)
| ~ s_m(ext(X2,X1,X3,X1),X4,X3)
| ~ s_t(X0,X1,ext(X2,X1,X3,X1)) ),
inference(superposition,[status(thm)],[c_479974,c_178]) ).
tcf(c_488985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,ext(X2,X3,X0,X3),X4,X0)
| ( X1 = X3 )
| ~ s_col(X1,X3,X4)
| ~ s_m(X0,X1,ext(X2,X3,X0,X3)) ),
inference(superposition,[status(thm)],[c_479974,c_86598]) ).
tcf(c_488986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,ext(X0,X1,X2,X1),X4,X2)
| ( X1 = X3 )
| ~ s_col(X3,X1,X4)
| ~ s_m(ext(X0,X1,X2,X1),X3,X2) ),
inference(superposition,[status(thm)],[c_479974,c_86593]) ).
tcf(c_488987,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(ext(X0,X1,X2,X1),X1,X2)
| ~ s_t(ext(X0,X1,X2,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_479974,c_241]) ).
tcf(c_488988,plain,
! [X0: $i,X1: $i,X2: $i] : s_m(ext(X0,X1,X2,X1),isomidpoint(ext(X0,X1,X2,X1),X2,X1),X2),
inference(superposition,[status(thm)],[c_479974,c_179]) ).
tcf(c_488989,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(ext(X0,X1,X2,X1),X1,X2)
| ( ext(X0,X1,X2,X1) = X2 )
| ~ s_col(ext(X0,X1,X2,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_479974,c_174]) ).
tcf(c_488990,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(X2,X0,X1,X0) = X1 )
| ~ s_t(X0,X1,ext(X2,X0,X1,X0)) ),
inference(superposition,[status(thm)],[c_479974,c_122]) ).
tcf(c_488991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X1,X2,X3,X2) = X3 )
| ~ s_t(X2,ext(X1,X2,X3,X2),X0)
| ~ s_e(X0,ext(X1,X2,X3,X2),X0,X3) ),
inference(superposition,[status(thm)],[c_479974,c_106]) ).
tcf(c_488992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( ext(X1,X2,X3,X2) = X3 )
| ~ s_col(X2,X0,ext(X1,X2,X3,X2))
| ~ s_e(X0,ext(X1,X2,X3,X2),X0,X3) ),
inference(superposition,[status(thm)],[c_479974,c_105]) ).
tcf(c_488993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,ext(X1,X2,X3,X2),X4,X3)
| ( X0 = X2 )
| ~ s_col(X2,X0,X4)
| ~ s_e(X0,ext(X1,X2,X3,X2),X0,X3) ),
inference(superposition,[status(thm)],[c_479974,c_104]) ).
tcf(c_489139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X1,X2,X2,X3) = X3 )
| ~ s_m(ext(X1,X2,X2,X3),X0,X3)
| ~ s_t(X0,ext(X1,X2,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_53,c_297638]) ).
tcf(c_489142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ins(X1,X2,X1,X3) = X2 )
| ~ le(X1,X3,X1,X2)
| ~ s_m(ins(X1,X2,X1,X3),X0,X2)
| ~ s_t(X0,ins(X1,X2,X1,X3),X1) ),
inference(superposition,[status(thm)],[c_111,c_297638]) ).
tcf(c_489143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( s(X1,X2) = s(X1,X4) )
| ~ s_e(X3,X2,X3,X4)
| ~ s_m(s(X1,X2),X0,s(X1,X4))
| ~ s_t(X0,s(X1,X2),s(X1,X3)) ),
inference(superposition,[status(thm)],[c_169,c_297638]) ).
tcf(c_489144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ s_m(X1,X2,X3)
| ~ s_m(X1,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_240,c_297638]) ).
tcf(c_489145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X2,X0) = X0 )
| ~ s_r(X3,X2,X0)
| ~ s_t(X1,X0,X3)
| ~ s_m(X0,X1,s(X2,X0)) ),
inference(superposition,[status(thm)],[c_249,c_297638]) ).
tcf(c_489146,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X2,X0) = X0 )
| ~ s_t(X1,X0,X2)
| ~ s_m(X0,X1,s(X2,X0)) ),
inference(superposition,[status(thm)],[c_482414,c_297638]) ).
tcf(c_489147,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X1,X2) = X2 )
| ~ s_m(s(X1,X2),X0,X2)
| ~ s_t(X0,s(X1,X2),X1) ),
inference(superposition,[status(thm)],[c_482508,c_297638]) ).
tcf(c_489148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X2,X3,X3,X0) = X0 )
| ~ s_t(X1,X0,X3)
| ~ s_m(X0,X1,ext(X2,X3,X3,X0)) ),
inference(superposition,[status(thm)],[c_479942,c_297638]) ).
tcf(c_489150,plain,
! [X0: $i,X1: $i] :
( ( s(X1,X1) = X1 )
| ~ s_m(s(X1,X1),X0,X1)
| ~ s_t(X0,s(X1,X1),X1) ),
inference(superposition,[status(thm)],[c_482962,c_297638]) ).
tcf(c_489151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X1,X2,X3,X2) = X3 )
| ~ s_m(ext(X1,X2,X3,X2),X0,X3)
| ~ s_t(X0,ext(X1,X2,X3,X2),X2) ),
inference(superposition,[status(thm)],[c_479974,c_297638]) ).
tcf(c_489197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X1,X2,X2,X3) = X3 )
| ~ s_m(X3,X0,ext(X1,X2,X2,X3))
| ~ s_t(X0,ext(X1,X2,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_53,c_297643]) ).
tcf(c_489200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ins(X1,X2,X1,X3) = X2 )
| ~ le(X1,X3,X1,X2)
| ~ s_m(X2,X0,ins(X1,X2,X1,X3))
| ~ s_t(X0,ins(X1,X2,X1,X3),X1) ),
inference(superposition,[status(thm)],[c_111,c_297643]) ).
tcf(c_489201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( s(X1,X2) = s(X1,X4) )
| ~ s_e(X3,X2,X3,X4)
| ~ s_m(s(X1,X4),X0,s(X1,X2))
| ~ s_t(X0,s(X1,X2),s(X1,X3)) ),
inference(superposition,[status(thm)],[c_169,c_297643]) ).
tcf(c_489202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ s_m(X3,X0,X1)
| ~ s_m(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_240,c_297643]) ).
tcf(c_489203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X0,X1) = X1 )
| ~ s_r(X3,X0,X1)
| ~ s_t(X2,X1,X3)
| ~ s_m(s(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_249,c_297643]) ).
tcf(c_489204,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0,X1) = X1 )
| ~ s_t(X2,X1,X0)
| ~ s_m(s(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_482414,c_297643]) ).
tcf(c_489205,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X1,X2) = X2 )
| ~ s_m(X2,X0,s(X1,X2))
| ~ s_t(X0,s(X1,X2),X1) ),
inference(superposition,[status(thm)],[c_482508,c_297643]) ).
tcf(c_489206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X0,X1,X1,X2) = X2 )
| ~ s_t(X3,X2,X1)
| ~ s_m(ext(X0,X1,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_479942,c_297643]) ).
tcf(c_489208,plain,
! [X0: $i,X1: $i] :
( ( s(X1,X1) = X1 )
| ~ s_m(X1,X0,s(X1,X1))
| ~ s_t(X0,s(X1,X1),X1) ),
inference(superposition,[status(thm)],[c_482962,c_297643]) ).
tcf(c_489209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X1,X2,X3,X2) = X3 )
| ~ s_m(X3,X0,ext(X1,X2,X3,X2))
| ~ s_t(X0,ext(X1,X2,X3,X2),X2) ),
inference(superposition,[status(thm)],[c_479974,c_297643]) ).
tcf(c_489279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : s_e(X0,X1,s(X2,X3),s(X2,ext(X4,X3,X0,X1))),
inference(superposition,[status(thm)],[c_166,c_479867]) ).
tcf(c_489280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X3,X1,X4)
| ~ s_m(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_240,c_479867]) ).
tcf(c_489281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X4,X0,s(X1,ext(X2,X0,X3,X4)))
| ~ s_r(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_249,c_479867]) ).
tcf(c_489282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_e(X0,X1,X2,s(X2,ext(X3,X2,X0,X1))),
inference(superposition,[status(thm)],[c_482414,c_479867]) ).
tcf(c_489283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_e(X0,X1,s(ext(X2,X3,X0,X1),X3),ext(X2,X3,X0,X1)),
inference(superposition,[status(thm)],[c_482416,c_479867]) ).
tcf(c_489284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_e(X0,X1,X2,ext(X3,X2,X4,ext(X5,X4,X0,X1))),
inference(superposition,[status(thm)],[c_479942,c_479867]) ).
tcf(c_489285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_e(X0,X1,ext(X2,X3,X0,X1),s(ext(X2,X3,X0,X1),X3)),
inference(superposition,[status(thm)],[c_482506,c_479867]) ).
tcf(c_489286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_e(X0,X1,s(X2,ext(X3,X2,X0,X1)),X2),
inference(superposition,[status(thm)],[c_482505,c_479867]) ).
tcf(c_489332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X4,X7,X5)
| ~ s_t(X3,X7,X2)
| ~ s_e(X6,X1,X7,X2)
| ~ s_e(X1,X4,X2,X5)
| ~ s_t(ext(X0,X1,X2,X3),X6,X1)
| ~ s_e(ext(X0,X1,X2,X3),X4,X3,X5) ),
inference(superposition,[status(thm)],[c_480040,c_2500]) ).
tcf(c_489333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(ext(X3,X4,X1,X0),X4,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480040,c_233]) ).
tcf(c_489334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(ext(X3,X0,X2,X1),X4,X1)
| s_col(ext(X3,X0,X2,X1),X0,X1)
| ( X0 = X2 )
| ~ s_col(X0,X4,X2)
| ~ s_col(ext(X3,X0,X2,X1),X4,X1)
| ~ s_e(X0,X1,X2,ext(X3,X0,X2,X1)) ),
inference(superposition,[status(thm)],[c_480040,c_175]) ).
tcf(c_489335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X1,X4,X2,X5)
| ~ sameside(X2,X3,X5)
| ~ sameside(X1,ext(X0,X1,X2,X3),X4)
| ~ s_e(ext(X0,X1,X2,X3),X4,X3,X5) ),
inference(superposition,[status(thm)],[c_480040,c_154]) ).
tcf(c_489336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X3 )
| ( X1 = X4 )
| ( ext(X0,X1,X2,X3) = X5 )
| ~ sameside(X4,ext(X0,X1,X2,X3),X5)
| ~ sameside(X1,ext(X0,X1,X2,X3),X5)
| ~ s_e(ext(X0,X1,X2,X3),X4,X3,X2) ),
inference(superposition,[status(thm)],[c_480040,c_140]) ).
tcf(c_489337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X3,X2,X6,X7)
| ~ s_e(X4,X5,X6,X7)
| ~ le(ext(X0,X1,X2,X3),X1,X4,X5) ),
inference(superposition,[status(thm)],[c_480040,c_114]) ).
tcf(c_489338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(ext(X0,X1,X2,X3),X4,X3,X2)
| ~ s_t(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_480040,c_113]) ).
tcf(c_489339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,ext(ext(X2,X3,alpha,gamma),X3,ext(X0,X1,X2,X3),X4),X2)
| ~ s_t(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_480040,c_91]) ).
tcf(c_489340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(ext(X0,X1,X2,X3),X4,X3,X5)
| ~ s_t(X3,X5,X2)
| ~ s_e(X4,X1,X5,X2)
| ~ s_t(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_480040,c_90]) ).
tcf(c_489341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(ext(X0,X1,X2,X3),X4,X5,X2)
| ~ s_t(X5,X3,X2)
| ~ s_e(X1,X4,X5,X3)
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_480040,c_71]) ).
tcf(c_489343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ext(X1,X2,X3,X4) = X0 )
| ( ext(X0,ext(X1,X2,X3,X4),X4,X3) = X2 )
| ~ s_t(X0,ext(X1,X2,X3,X4),X2) ),
inference(superposition,[status(thm)],[c_480040,c_68]) ).
tcf(c_489344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(ext(X0,X1,X2,X3),X4,X3,X5)
| ~ s_t(X3,X2,X5)
| ~ s_e(X1,X4,X2,X5)
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_480040,c_67]) ).
tcf(c_489347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(ext(X4,X5,X1,X0),X5,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480040,c_63]) ).
tcf(c_489349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X4,X7,X5)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X3,X2,X7)
| ~ s_e(X1,X6,X2,X7)
| ~ s_e(X1,X4,X2,X5)
| ~ s_t(ext(X0,X1,X2,X3),X1,X6)
| ~ s_e(ext(X0,X1,X2,X3),X4,X3,X5) ),
inference(superposition,[status(thm)],[c_480040,c_54]) ).
tcf(c_489350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X3,X2,X4,X5)
| ~ s_e(ext(X0,X1,X2,X3),X1,X4,X5) ),
inference(superposition,[status(thm)],[c_480040,c_50]) ).
tcf(c_489443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,ip(X0,X1,X2,X1,X3))
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_56,c_480114]) ).
tcf(c_489444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,ip(X0,X1,X2,X3,X0))
| ~ s_t(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_480114]) ).
tcf(c_489447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X2,crossbar(X0,X1,X2,X3,X4,X2))
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_480114]) ).
tcf(c_489448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X1,crossbar(X0,X1,X2,X4,X1,X3))
| ~ s_t(X4,X1,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_480114]) ).
tcf(c_489449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,s(X3,X0),s(X3,X1))
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_167,c_480114]) ).
tcf(c_489450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X2,ext(ext(X2,X2,alpha,gamma),X2,X0,X1))
| ~ le(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_231,c_480114]) ).
tcf(c_489520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X0,X3,X1)
| ( X0 = X1 )
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X1,X3)
| ~ s_e(X0,X2,X1,X3)
| ~ s_e(X0,X0,X1,X1) ),
inference(superposition,[status(thm)],[c_49,c_479886]) ).
tcf(c_489521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,ext(X1,X2,X0,X3),X5,X3)
| ( X0 = X2 )
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,X2,X5)
| ~ s_e(X0,X4,X2,X5)
| ~ s_e(X0,ext(X1,X2,X0,X3),X2,X3) ),
inference(superposition,[status(thm)],[c_53,c_479886]) ).
tcf(c_489523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X1,X3,X0)
| ( X0 = X1 )
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X1,X3)
| ~ s_e(X0,X2,X1,X3)
| ~ s_e(X0,X1,X1,X0) ),
inference(superposition,[status(thm)],[c_66,c_479886]) ).
tcf(c_489524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,ins(X0,X1,X2,X3),X5,X1)
| ( X0 = X2 )
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,X2,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X0,X4,X2,X5)
| ~ s_e(X0,ins(X0,X1,X2,X3),X2,X1) ),
inference(superposition,[status(thm)],[c_111,c_479886]) ).
tcf(c_489525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X2,X4,s(X0,X2))
| ( s(X0,X1) = X1 )
| ~ s_t(X1,s(X0,X1),X3)
| ~ s_t(s(X0,X1),X1,X4)
| ~ s_e(s(X0,X1),X3,X1,X4)
| ~ s_e(s(X0,X1),X2,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_166,c_479886]) ).
tcf(c_489526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,s(X0,X2),X6,s(X0,X4))
| ( s(X0,X1) = s(X0,X3) )
| ~ s_e(X3,X2,X1,X4)
| ~ s_t(s(X0,X3),s(X0,X1),X5)
| ~ s_t(s(X0,X1),s(X0,X3),X6)
| ~ s_e(s(X0,X1),X5,s(X0,X3),X6)
| ~ s_e(s(X0,X1),s(X0,X2),s(X0,X3),s(X0,X4)) ),
inference(superposition,[status(thm)],[c_169,c_479886]) ).
tcf(c_489530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X0,X3,X0)
| ( s(X0,X1) = X1 )
| ~ s_t(X1,s(X0,X1),X2)
| ~ s_t(s(X0,X1),X1,X3)
| ~ s_e(s(X0,X1),X2,X1,X3)
| ~ s_e(s(X0,X1),X0,X1,X0) ),
inference(superposition,[status(thm)],[c_482416,c_479886]) ).
tcf(c_489532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X1,X3,X1)
| ( s(X1,X0) = X0 )
| ~ s_t(X0,s(X1,X0),X3)
| ~ s_t(s(X1,X0),X0,X2)
| ~ s_e(X0,X2,s(X1,X0),X3)
| ~ s_e(X0,X1,s(X1,X0),X1) ),
inference(superposition,[status(thm)],[c_482602,c_479886]) ).
tcf(c_489533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,ext(X3,X0,X2,X1))
| ( X0 = X2 )
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,X2,X5)
| ~ s_e(X0,X4,X2,X5)
| ~ s_e(X0,X1,X2,ext(X3,X0,X2,X1)) ),
inference(superposition,[status(thm)],[c_479942,c_479886]) ).
tcf(c_489534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,X3)
| ( ext(X2,X1,X0,X3) = X0 )
| ~ s_t(X0,ext(X2,X1,X0,X3),X5)
| ~ s_t(ext(X2,X1,X0,X3),X0,X4)
| ~ s_e(X0,X4,ext(X2,X1,X0,X3),X5)
| ~ s_e(X0,X1,ext(X2,X1,X0,X3),X3) ),
inference(superposition,[status(thm)],[c_479960,c_479886]) ).
tcf(c_489535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X0,X3,s(X0,X1))
| ( X0 = X1 )
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X1,X3)
| ~ s_e(X0,X2,X1,X3)
| ~ s_e(X0,X0,X1,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_482506,c_479886]) ).
tcf(c_489536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X1,X3,X0)
| ( s(X0,X1) = X0 )
| ~ s_t(X0,s(X0,X1),X2)
| ~ s_t(s(X0,X1),X0,X3)
| ~ s_e(s(X0,X1),X2,X0,X3)
| ~ s_e(s(X0,X1),X1,X0,X0) ),
inference(superposition,[status(thm)],[c_482505,c_479886]) ).
tcf(c_489537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X0,X3,X1)
| ( s(X0,X1) = X0 )
| ~ s_t(X0,s(X0,X1),X3)
| ~ s_t(s(X0,X1),X0,X2)
| ~ s_e(X0,X2,s(X0,X1),X3)
| ~ s_e(X0,X0,s(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_482977,c_479886]) ).
tcf(c_489538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,s(X1,X0),X3,X1)
| ( X0 = X1 )
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X1,X3)
| ~ s_e(X0,X2,X1,X3)
| ~ s_e(X0,s(X1,X0),X1,X1) ),
inference(superposition,[status(thm)],[c_482962,c_479886]) ).
tcf(c_489539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,ext(X1,X2,X3,X0),X5,X3)
| ( X0 = X2 )
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,X2,X5)
| ~ s_e(X0,X4,X2,X5)
| ~ s_e(X0,ext(X1,X2,X3,X0),X2,X3) ),
inference(superposition,[status(thm)],[c_479974,c_479886]) ).
tcf(c_489540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,X3)
| ( ext(X2,X1,X3,X0) = X0 )
| ~ s_t(X0,ext(X2,X1,X3,X0),X5)
| ~ s_t(ext(X2,X1,X3,X0),X0,X4)
| ~ s_e(X0,X4,ext(X2,X1,X3,X0),X5)
| ~ s_e(X0,X1,ext(X2,X1,X3,X0),X3) ),
inference(superposition,[status(thm)],[c_480040,c_479886]) ).
tcf(c_489541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X2,X3,X0)
| ( X0 = X2 )
| ~ s_t(X2,X0,X1)
| ~ s_t(X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_489523,c_49]) ).
tcf(c_489547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X0,X3,X2)
| ( X0 = X2 )
| ~ s_t(X2,X0,X1)
| ~ s_t(X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_489520,c_66]) ).
tcf(c_489595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X2,X3,X2)
| ( s(X2,X0) = X0 )
| ~ s_t(X0,s(X2,X0),X3)
| ~ s_t(s(X2,X0),X0,X1)
| ~ s_e(X0,X1,s(X2,X0),X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_489532,c_482416]) ).
tcf(c_489601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X0,X3,X0)
| ( s(X0,X1) = X1 )
| ~ s_t(X1,s(X0,X1),X2)
| ~ s_t(s(X0,X1),X1,X3)
| ~ s_e(s(X0,X1),X2,X1,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_489530,c_482602]) ).
tcf(c_489722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X3,X5,ext(X0,X1,X2,X3))
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X2,X3,X5)
| ~ s_t(X1,ext(X0,X1,X2,X3),X4)
| ~ s_e(X1,X3,X2,ext(X0,X1,X2,X3))
| ~ s_e(ext(X0,X1,X2,X3),X4,X3,X5) ),
inference(superposition,[status(thm)],[c_49,c_479887]) ).
tcf(c_489723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,ext(X1,ext(X2,X0,X3,X4),X4,X5),X7,X5)
| ( ext(X2,X0,X3,X4) = X0 )
| ~ s_t(X3,X4,X7)
| ~ s_t(X0,ext(X2,X0,X3,X4),X6)
| ~ s_e(ext(X2,X0,X3,X4),X6,X4,X7)
| ~ s_e(X0,ext(X1,ext(X2,X0,X3,X4),X4,X5),X3,X5) ),
inference(superposition,[status(thm)],[c_53,c_479887]) ).
tcf(c_489724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,ext(X0,X1,X2,X3),X5,X3)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X2,X3,X5)
| ~ s_t(X1,ext(X0,X1,X2,X3),X4)
| ~ s_e(X1,ext(X0,X1,X2,X3),X2,X3)
| ~ s_e(ext(X0,X1,X2,X3),X4,X3,X5) ),
inference(superposition,[status(thm)],[c_66,c_479887]) ).
tcf(c_489725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,ins(X1,X2,ext(X3,X0,X4,X1),X5),X7,X2)
| ( ext(X3,X0,X4,X1) = X0 )
| ~ s_t(X4,X1,X7)
| ~ s_t(X0,ext(X3,X0,X4,X1),X6)
| ~ le(ext(X3,X0,X4,X1),X5,X1,X2)
| ~ s_e(ext(X3,X0,X4,X1),X6,X1,X7)
| ~ s_e(X0,ins(X1,X2,ext(X3,X0,X4,X1),X5),X4,X2) ),
inference(superposition,[status(thm)],[c_111,c_479887]) ).
tcf(c_489726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X1,X7,ext(X3,X4,ext(X5,X0,X2,X4),X1))
| ( ext(X5,X0,X2,X4) = X0 )
| ~ s_t(X2,X4,X7)
| ~ s_t(X0,ext(X5,X0,X2,X4),X6)
| ~ s_e(ext(X5,X0,X2,X4),X6,X4,X7)
| ~ s_e(X0,X1,X2,ext(X3,X4,ext(X5,X0,X2,X4),X1)) ),
inference(superposition,[status(thm)],[c_479942,c_479887]) ).
tcf(c_489728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,s(X1,ext(X3,X0,X2,X1)))
| ( ext(X3,X0,X2,X1) = X0 )
| ~ s_t(X2,X1,X5)
| ~ s_t(X0,ext(X3,X0,X2,X1),X4)
| ~ s_e(ext(X3,X0,X2,X1),X4,X1,X5)
| ~ s_e(X0,X1,X2,s(X1,ext(X3,X0,X2,X1))) ),
inference(superposition,[status(thm)],[c_482506,c_479887]) ).
tcf(c_489729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,s(ext(X1,X0,X2,X3),X3),X5,ext(X1,X0,X2,X3))
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X2,X3,X5)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4)
| ~ s_e(ext(X1,X0,X2,X3),X4,X3,X5)
| ~ s_e(X0,s(ext(X1,X0,X2,X3),X3),X2,ext(X1,X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_482962,c_479887]) ).
tcf(c_489730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,ext(X1,ext(X2,X0,X3,X4),X5,X4),X7,X5)
| ( ext(X2,X0,X3,X4) = X0 )
| ~ s_t(X3,X4,X7)
| ~ s_t(X0,ext(X2,X0,X3,X4),X6)
| ~ s_e(ext(X2,X0,X3,X4),X6,X4,X7)
| ~ s_e(X0,ext(X1,ext(X2,X0,X3,X4),X5,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_479974,c_479887]) ).
tcf(c_489731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,X2)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X2,X3,X5)
| ~ s_e(X1,X1,X2,X2)
| ~ s_t(X1,ext(X0,X1,X2,X3),X4)
| ~ s_e(ext(X0,X1,X2,X3),X4,X3,X5) ),
inference(superposition,[status(thm)],[c_480040,c_479887]) ).
tcf(c_489733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,X2)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X2,X3,X5)
| ~ s_t(X1,ext(X0,X1,X2,X3),X4)
| ~ s_e(ext(X0,X1,X2,X3),X4,X3,X5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_489731,c_66]) ).
tcf(c_489739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,ext(X0,X1,X2,X3),X5,X3)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X2,X3,X5)
| ~ s_t(X1,ext(X0,X1,X2,X3),X4)
| ~ s_e(ext(X0,X1,X2,X3),X4,X3,X5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_489724,c_53]) ).
tcf(c_489865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X2,X0,ext(X2,X0,X3,X4),X0,X1) = X0 )
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_52,c_479914]) ).
tcf(c_489866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X1,ip(X0,X1,X2,X3,X4),X3,ip(X0,X1,X2,X3,X4),X5) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_56,c_479914]) ).
tcf(c_489867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X4,ip(X0,X1,X2,X3,X4),X0,ip(X0,X1,X2,X3,X4),X5) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_57,c_479914]) ).
tcf(c_489868,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(X2,X0,X0,X0,X1) = X0 )
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_72,c_479914]) ).
tcf(c_489869,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(X0,X0,X2,X0,X1) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_74,c_479914]) ).
tcf(c_489870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(X5,crossbar(X0,X1,X2,X3,X4,X5),X2,crossbar(X0,X1,X2,X3,X4,X5),X6) = crossbar(X0,X1,X2,X3,X4,X5) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_87,c_479914]) ).
tcf(c_489871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(X1,crossbar(X0,X1,X2,X3,X4,X5),X4,crossbar(X0,X1,X2,X3,X4,X5),X6) = crossbar(X0,X1,X2,X3,X4,X5) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_88,c_479914]) ).
tcf(c_489872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X4,X0,ins(X2,X3,X4,X0),X0,X1) = X0 )
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_110,c_479914]) ).
tcf(c_489873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(X2,X0,c63(X2,X0,X3),X0,X1) = X0 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_129,c_479914]) ).
tcf(c_489874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(X3,X0,c63(X2,X0,X3),X0,X1) = X0 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_130,c_479914]) ).
tcf(c_489875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(s(X0,X4),s(X0,X1),s(X0,X3),s(X0,X1),X2) = s(X0,X1) )
| ~ s_t(X4,X1,X3)
| ~ s_t(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_167,c_479914]) ).
tcf(c_489876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X1,ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X0,ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X4) = ext(ext(X0,X1,alpha,gamma),X1,X2,X3) )
| ~ le(X2,X3,X1,X0)
| ~ s_t(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_231,c_479914]) ).
tcf(c_489877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(ext(X2,X0,X3,X4),X0,X2,X0,X1) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480073,c_479914]) ).
tcf(c_489878,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(X2,X0,s(X0,X2),X0,X1) = X0 )
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_485940,c_479914]) ).
tcf(c_489879,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(s(X0,X2),X0,X2,X0,X1) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485941,c_479914]) ).
tcf(c_489880,plain,
! [X0: $i] :
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| ( ip(sK2,sK3,sK1,sK3,X0) = sK3 )
| ~ s_t(sK3,X0,sK1) ),
inference(superposition,[status(thm)],[c_30027,c_479914]) ).
tcf(c_489973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ip(X0,X1,X2,X1,X3),X1)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_56,c_480184]) ).
tcf(c_489974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X0),X0)
| ~ s_t(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_480184]) ).
tcf(c_489977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X2),X2)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_480184]) ).
tcf(c_489978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,crossbar(X0,X1,X2,X4,X1,X3),X1)
| ~ s_t(X4,X1,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_480184]) ).
tcf(c_489979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,s(X3,X1),s(X3,X0))
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_167,c_480184]) ).
tcf(c_489980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,ext(ext(X2,X2,alpha,gamma),X2,X0,X1),X2)
| ~ le(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_231,c_480184]) ).
tcf(c_490089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X1,X2,ext(X1,X2,X3,X4),X0,X1) = X1 )
| ~ s_t(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_52,c_479924]) ).
tcf(c_490090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X1,ip(X0,X1,X2,X3,X4),X3,X5,X1) = X1 )
| ~ s_t(X5,X1,X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_56,c_479924]) ).
tcf(c_490091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X4,ip(X0,X1,X2,X3,X4),X0,X5,X4) = X4 )
| ~ s_t(X5,X4,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_479924]) ).
tcf(c_490092,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(X1,X2,X2,X0,X1) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_479924]) ).
tcf(c_490093,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(X1,X1,X2,X0,X1) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_74,c_479924]) ).
tcf(c_490094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(X3,crossbar(X0,X1,X2,X4,X5,X3),X2,X6,X3) = X3 )
| ~ s_t(X6,X3,X2)
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_479924]) ).
tcf(c_490095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(X1,crossbar(X0,X1,X2,X4,X5,X3),X5,X6,X1) = X1 )
| ~ s_t(X6,X1,X5)
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_479924]) ).
tcf(c_490096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X1,X4,ins(X2,X3,X1,X4),X0,X1) = X1 )
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_110,c_479924]) ).
tcf(c_490097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(X1,X2,c63(X1,X2,X3),X0,X1) = X1 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X0,X1,c63(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_129,c_479924]) ).
tcf(c_490098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(X1,X3,c63(X2,X3,X1),X0,X1) = X1 )
| ~ sameside(X2,X3,X1)
| ~ s_t(X0,X1,c63(X2,X3,X1)) ),
inference(superposition,[status(thm)],[c_130,c_479924]) ).
tcf(c_490099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(s(X1,X2),s(X1,X4),s(X1,X3),X0,s(X1,X2)) = s(X1,X2) )
| ~ s_t(X2,X4,X3)
| ~ s_t(X0,s(X1,X2),s(X1,X3)) ),
inference(superposition,[status(thm)],[c_167,c_479924]) ).
tcf(c_490100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3,X4,X2) = X2 )
| ~ s_t(X4,X2,X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_231,c_479924]) ).
tcf(c_490101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(ext(X1,X2,X3,X4),X2,X1,X0,ext(X1,X2,X3,X4)) = ext(X1,X2,X3,X4) )
| ~ s_t(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_480073,c_479924]) ).
tcf(c_490102,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(X1,X2,s(X2,X1),X0,X1) = X1 )
| ~ s_t(X0,X1,s(X2,X1)) ),
inference(superposition,[status(thm)],[c_485940,c_479924]) ).
tcf(c_490103,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(s(X1,X2),X1,X2,X0,s(X1,X2)) = s(X1,X2) )
| ~ s_t(X0,s(X1,X2),X2) ),
inference(superposition,[status(thm)],[c_485941,c_479924]) ).
tcf(c_490104,plain,
! [X0: $i] :
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| ( ip(sK2,sK3,sK1,X0,sK2) = sK2 )
| ~ s_t(X0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_30027,c_479924]) ).
tcf(c_490177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,ext(X1,X2,X2,X3),X5,X3)
| ( X0 = X2 )
| ~ s_t(X2,X0,X5)
| ~ s_t(X2,X0,X4)
| ~ s_e(X0,X4,X0,X5)
| ~ s_e(X0,ext(X1,X2,X2,X3),X0,X3) ),
inference(superposition,[status(thm)],[c_53,c_479928]) ).
tcf(c_490178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X1,X3,X1)
| ( X0 = X4 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X4,X0,X2)
| ~ s_e(X0,X2,X0,X3)
| ~ s_e(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_61,c_479928]) ).
tcf(c_490179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X1,X3,X1)
| ( X0 = X1 )
| ~ s_t(X1,X0,X3)
| ~ s_t(X1,X0,X2)
| ~ s_e(X0,X2,X0,X3)
| ~ s_e(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_66,c_479928]) ).
tcf(c_490180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,ins(X1,X2,X1,X3),X5,X2)
| ( X0 = X1 )
| ~ s_t(X1,X0,X5)
| ~ s_t(X1,X0,X4)
| ~ le(X1,X3,X1,X2)
| ~ s_e(X0,X4,X0,X5)
| ~ s_e(X0,ins(X1,X2,X1,X3),X0,X2) ),
inference(superposition,[status(thm)],[c_111,c_479928]) ).
tcf(c_490181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,s(X1,X2),X6,s(X1,X3))
| ( s(X1,X4) = X0 )
| ~ s_e(X4,X2,X4,X3)
| ~ s_e(X0,X5,X0,X6)
| ~ s_t(s(X1,X4),X0,X6)
| ~ s_t(s(X1,X4),X0,X5)
| ~ s_e(X0,s(X1,X2),X0,s(X1,X3)) ),
inference(superposition,[status(thm)],[c_169,c_479928]) ).
tcf(c_490182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X3,X1,X4,X2)
| ( X0 = X5 )
| ~ s_m(X1,X5,X2)
| ~ s_t(X5,X0,X4)
| ~ s_t(X5,X0,X3)
| ~ s_e(X0,X3,X0,X4)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_240,c_479928]) ).
tcf(c_490183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X3,X1,X4,s(X2,X1))
| ( X0 = X5 )
| ~ s_r(X5,X2,X1)
| ~ s_t(X5,X0,X4)
| ~ s_t(X5,X0,X3)
| ~ s_e(X0,X3,X0,X4)
| ~ s_e(X0,X1,X0,s(X2,X1)) ),
inference(superposition,[status(thm)],[c_249,c_479928]) ).
tcf(c_490184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X4,s(X2,X1))
| ( X0 = X2 )
| ~ s_t(X2,X0,X4)
| ~ s_t(X2,X0,X3)
| ~ s_e(X0,X3,X0,X4)
| ~ s_e(X0,X1,X0,s(X2,X1)) ),
inference(superposition,[status(thm)],[c_482414,c_479928]) ).
tcf(c_490185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,s(X1,X2),X4,X2)
| ( X0 = X1 )
| ~ s_t(X1,X0,X4)
| ~ s_t(X1,X0,X3)
| ~ s_e(X0,X3,X0,X4)
| ~ s_e(X0,s(X1,X2),X0,X2) ),
inference(superposition,[status(thm)],[c_482508,c_479928]) ).
tcf(c_490186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,ext(X2,X3,X3,X1))
| ( X0 = X3 )
| ~ s_t(X3,X0,X5)
| ~ s_t(X3,X0,X4)
| ~ s_e(X0,X4,X0,X5)
| ~ s_e(X0,X1,X0,ext(X2,X3,X3,X1)) ),
inference(superposition,[status(thm)],[c_479942,c_479928]) ).
tcf(c_490189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,ext(X1,X2,X3,X2),X5,X3)
| ( X0 = X2 )
| ~ s_t(X2,X0,X5)
| ~ s_t(X2,X0,X4)
| ~ s_e(X0,X4,X0,X5)
| ~ s_e(X0,ext(X1,X2,X3,X2),X0,X3) ),
inference(superposition,[status(thm)],[c_479974,c_479928]) ).
tcf(c_490196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X4,X2,X4)
| ( X0 = X3 )
| ~ s_t(X3,X0,X2)
| ~ s_t(X3,X0,X1)
| ~ s_e(X0,X1,X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_490178,c_61]) ).
tcf(c_490285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,ext(X1,X2,X3,X4),X7,X5)
| ( X0 = X2 )
| ~ s_t(X2,X0,X6)
| ~ s_t(X0,X2,X7)
| ~ s_e(X3,X4,X0,X5)
| ~ s_e(X0,X6,X2,X7)
| ~ s_e(X0,ext(X1,X2,X3,X4),X2,X5) ),
inference(superposition,[status(thm)],[c_479951,c_479886]) ).
tcf(c_490286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_e(X7,X4,X8,X6)
| ~ s_t(X9,X8,X5)
| ~ s_e(X2,X3,X9,X5)
| ~ s_e(X1,X4,X9,X6)
| ~ s_t(X1,X7,ext(X0,X1,X2,X3))
| ~ s_e(X7,ext(X0,X1,X2,X3),X8,X5)
| ~ s_e(ext(X0,X1,X2,X3),X4,X5,X6) ),
inference(superposition,[status(thm)],[c_479951,c_2500]) ).
tcf(c_490287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X5,ext(X6,X5,X0,X1),X2,X4)
| ~ s_t(X2,X3,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_479951,c_233]) ).
tcf(c_490288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_m(X1,X6,X4)
| s_col(X1,ext(X0,X1,X2,X3),X4)
| ( ext(X0,X1,X2,X3) = X5 )
| ~ s_col(X1,X6,X4)
| ~ s_e(X2,X3,X4,X5)
| ~ s_col(ext(X0,X1,X2,X3),X6,X5)
| ~ s_e(ext(X0,X1,X2,X3),X4,X5,X1) ),
inference(superposition,[status(thm)],[c_479951,c_175]) ).
tcf(c_490289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(ext(X0,X1,X2,X3),X4,X6,X7)
| ~ sameside(X6,X5,X7)
| ~ s_e(X2,X3,X5,X6)
| ~ s_e(X1,X4,X5,X7)
| ~ sameside(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_479951,c_154]) ).
tcf(c_490290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X5 = X6 )
| ( X1 = X4 )
| ( ext(X0,X1,X2,X3) = X7 )
| ~ sameside(X7,X1,X4)
| ~ s_e(X2,X3,X5,X6)
| ~ s_e(X1,X7,X5,X6)
| ~ sameside(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_479951,c_140]) ).
tcf(c_490291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( le(X6,X7,X8,X9)
| ~ s_e(X4,X5,X8,X9)
| ~ s_e(X2,X3,X6,X7)
| ~ le(X0,ext(X1,X0,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_479951,c_114]) ).
tcf(c_490292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X0,X1,X5,X6)
| ~ s_e(X3,X4,X5,X6)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_479951,c_113]) ).
tcf(c_490293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,ext(ext(X6,X5,alpha,gamma),X5,X0,X1),X6)
| ~ s_e(X3,X4,X5,X6)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_479951,c_91]) ).
tcf(c_490294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X2,X0,X7,X5)
| ~ s_t(X7,X5,X6)
| ~ s_e(X3,X4,X7,X6)
| ~ s_t(X2,X0,ext(X1,X2,X3,X4))
| ~ s_e(X0,ext(X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_479951,c_90]) ).
tcf(c_490295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X1,X4,X5,X7)
| ~ s_t(X5,X6,X7)
| ~ s_e(X2,X3,X6,X7)
| ~ s_t(X1,ext(X0,X1,X2,X3),X4)
| ~ s_e(ext(X0,X1,X2,X3),X4,X5,X6) ),
inference(superposition,[status(thm)],[c_479951,c_71]) ).
tcf(c_490296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(ext(X4,X5,X0,X1),X5,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_479951,c_70]) ).
tcf(c_490297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X5,X6) = ext(X2,X1,X3,X4) )
| ~ s_e(X3,X4,X5,X6)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_479951,c_68]) ).
tcf(c_490298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X1,X4,X7,X6)
| ~ s_t(X7,X5,X6)
| ~ s_e(X2,X3,X7,X5)
| ~ s_t(X1,ext(X0,X1,X2,X3),X4)
| ~ s_e(ext(X0,X1,X2,X3),X4,X5,X6) ),
inference(superposition,[status(thm)],[c_479951,c_67]) ).
tcf(c_490299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,ext(X5,X4,X0,X1),X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_479951,c_65]) ).
tcf(c_490301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,ext(X7,X6,X0,X1),X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_479951,c_63]) ).
tcf(c_490302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X3,X4,ext(X5,X4,X0,X1))
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_479951,c_62]) ).
tcf(c_490303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_e(X7,X4,X8,X6)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X9,X5,X8)
| ~ s_e(X2,X3,X9,X5)
| ~ s_e(X1,X4,X9,X6)
| ~ s_t(X1,ext(X0,X1,X2,X3),X7)
| ~ s_e(ext(X0,X1,X2,X3),X7,X5,X8)
| ~ s_e(ext(X0,X1,X2,X3),X4,X5,X6) ),
inference(superposition,[status(thm)],[c_479951,c_54]) ).
tcf(c_490304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X7,X4,X5)
| ~ s_e(X2,X3,X6,X7)
| ~ s_e(X0,ext(X1,X0,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_479951,c_50]) ).
tcf(c_490305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ext(X3,X4,X0,X1) = X4 )
| ~ s_e(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_479951,c_69]) ).
tcf(c_490306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X8,X1,X5)
| ~ s_m(X0,X8,X7)
| ~ s_t(X7,X1,X6)
| ~ s_e(X3,X4,X1,X6)
| ~ s_e(X1,X0,X1,X7)
| ~ s_m(ext(X2,X1,X3,X4),X5,X6)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_479951,c_178]) ).
tcf(c_490307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,ext(X1,X2,X3,X4),X7,X5)
| ( X0 = X2 )
| ~ s_t(X2,X0,X7)
| ~ s_t(X2,X0,X6)
| ~ s_e(X3,X4,X2,X5)
| ~ s_e(X0,X6,X0,X7)
| ~ s_e(X0,ext(X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_479951,c_479928]) ).
tcf(c_490308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ext(X1,X2,X3,X4) = X5 )
| ~ s_e(X3,X4,X2,X5)
| ~ s_m(X5,X0,ext(X1,X2,X3,X4))
| ~ s_t(X0,ext(X1,X2,X3,X4),X2) ),
inference(superposition,[status(thm)],[c_479951,c_297643]) ).
tcf(c_490309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ext(X1,X2,X3,X4) = X5 )
| ~ s_e(X3,X4,X2,X5)
| ~ s_m(ext(X1,X2,X3,X4),X0,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X2) ),
inference(superposition,[status(thm)],[c_479951,c_297638]) ).
tcf(c_490310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X6,ext(X2,X3,X4,X5),X6,X0)
| ( X1 = X3 )
| ~ s_col(X1,X3,X6)
| ~ s_e(X4,X5,X3,X0)
| ~ s_m(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_479951,c_86598]) ).
tcf(c_490311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X6,ext(X0,X1,X2,X3),X6,X5)
| ( X1 = X4 )
| ~ s_col(X4,X1,X6)
| ~ s_e(X2,X3,X1,X5)
| ~ s_m(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_479951,c_86593]) ).
tcf(c_490312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(ext(X0,X1,X2,X3),X1,X4)
| ~ s_e(X2,X3,X1,X4)
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_479951,c_241]) ).
tcf(c_490313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(ext(X4,X2,X0,X1),isomidpoint(ext(X4,X2,X0,X1),X3,X2),X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_479951,c_179]) ).
tcf(c_490314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(ext(X0,X1,X2,X3),X1,X4)
| ( ext(X0,X1,X2,X3) = X4 )
| ~ s_e(X2,X3,X1,X4)
| ~ s_col(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_479951,c_174]) ).
tcf(c_490315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ext(X2,X0,X3,X4) = X1 )
| ~ s_e(X3,X4,X0,X1)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_479951,c_122]) ).
tcf(c_490316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ext(X1,X2,X3,X4) = X5 )
| ~ s_e(X3,X4,X2,X5)
| ~ s_t(X2,ext(X1,X2,X3,X4),X0)
| ~ s_e(X0,ext(X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_479951,c_106]) ).
tcf(c_490317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X2 )
| ( ext(X1,X2,X3,X4) = X5 )
| ~ s_e(X3,X4,X2,X5)
| ~ s_col(X2,X0,ext(X1,X2,X3,X4))
| ~ s_e(X0,ext(X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_479951,c_105]) ).
tcf(c_490318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X6,ext(X1,X2,X3,X4),X6,X5)
| ( X0 = X2 )
| ~ s_col(X2,X0,X6)
| ~ s_e(X3,X4,X2,X5)
| ~ s_e(X0,ext(X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_479951,c_104]) ).
tcf(c_490319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X2,X3,ext(X4,X2,X0,X1))
| ~ s_e(X0,X1,X2,s(X3,ext(X4,X2,X0,X1))) ),
inference(superposition,[status(thm)],[c_479951,c_250]) ).
tcf(c_490321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_e(X8,ext(X1,ext(X2,X0,X3,X4),X5,X6),X9,X7)
| ( ext(X2,X0,X3,X4) = X0 )
| ~ s_t(X3,X4,X9)
| ~ s_e(X5,X6,X4,X7)
| ~ s_t(X0,ext(X2,X0,X3,X4),X8)
| ~ s_e(ext(X2,X0,X3,X4),X8,X4,X9)
| ~ s_e(X0,ext(X1,ext(X2,X0,X3,X4),X5,X6),X3,X7) ),
inference(superposition,[status(thm)],[c_479951,c_479887]) ).
tcf(c_490582,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,X0,s(X1,X2),s(X1,X2)),
inference(superposition,[status(thm)],[c_166,c_479966]) ).
tcf(c_490583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X3,s(X4,X1),s(X4,X2))
| ~ s_e(X0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_169,c_479966]) ).
tcf(c_490584,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X2,X0,X1)
| ~ s_m(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_240,c_479966]) ).
tcf(c_490585,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X2,X0,s(X1,X0))
| ~ s_r(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_249,c_479966]) ).
tcf(c_490588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_e(X0,X0,X1,ext(X2,X1,X3,X3)),
inference(superposition,[status(thm)],[c_479942,c_479966]) ).
tcf(c_490589,plain,
! [X0: $i,X1: $i] : s_e(X0,X0,X1,s(X1,X1)),
inference(superposition,[status(thm)],[c_482506,c_479966]) ).
tcf(c_490590,plain,
! [X0: $i,X1: $i] : s_e(X0,X0,s(X1,X1),X1),
inference(superposition,[status(thm)],[c_482505,c_479966]) ).
tcf(c_490605,plain,
! [X0: $i,X1: $i] :
( s_e(X1,X1,X0,X0)
| ~ s_t(X1,X0,X1)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_49,c_479987]) ).
tcf(c_490606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ext(X2,X1,X0,X3),X1,X3)
| ~ s_t(X1,X0,X3)
| ~ s_t(X0,X1,ext(X2,X1,X0,X3)) ),
inference(superposition,[status(thm)],[c_53,c_479987]) ).
tcf(c_490608,plain,
! [X0: $i,X1: $i] :
( s_e(X1,X0,X0,X1)
| ~ s_t(X1,X0,X0)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_66,c_479987]) ).
tcf(c_490609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ins(X0,X2,X1,X3),X1,X2)
| ~ s_t(X1,X0,X2)
| ~ le(X1,X3,X0,X2)
| ~ s_t(X0,X1,ins(X0,X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_111,c_479987]) ).
tcf(c_490610,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(X1,X0),X2,X0,s(X1,X2))
| ~ s_t(s(X1,X0),X0,X2)
| ~ s_t(X0,s(X1,X0),s(X1,X2)) ),
inference(superposition,[status(thm)],[c_166,c_479987]) ).
tcf(c_490611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X0,X2),s(X0,X4),s(X0,X1),s(X0,X3))
| ~ s_e(X1,X4,X2,X3)
| ~ s_t(s(X0,X2),s(X0,X1),s(X0,X4))
| ~ s_t(s(X0,X1),s(X0,X2),s(X0,X3)) ),
inference(superposition,[status(thm)],[c_169,c_479987]) ).
tcf(c_490612,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,X0,X2)
| ~ s_m(X1,X0,X2)
| ~ s_t(X0,X0,X2)
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_240,c_479987]) ).
tcf(c_490617,plain,
! [X0: $i,X1: $i] :
( s_e(X1,X0,s(X0,X1),X0)
| ~ s_t(X1,s(X0,X1),X0)
| ~ s_t(s(X0,X1),X1,X0) ),
inference(superposition,[status(thm)],[c_482602,c_479987]) ).
tcf(c_490618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X3,X0,ext(X2,X1,X0,X3))
| ~ s_t(X1,X0,X3)
| ~ s_t(X0,X1,ext(X2,X1,X0,X3)) ),
inference(superposition,[status(thm)],[c_479942,c_479987]) ).
tcf(c_490619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X1,ext(X0,X1,X2,X3),X3)
| ~ s_t(X2,ext(X0,X1,X2,X3),X1)
| ~ s_t(ext(X0,X1,X2,X3),X2,X3) ),
inference(superposition,[status(thm)],[c_479960,c_479987]) ).
tcf(c_490620,plain,
! [X0: $i,X1: $i] :
( s_e(X1,X1,X0,s(X1,X0))
| ~ s_t(X1,X0,X1)
| ~ s_t(X0,X1,s(X1,X0)) ),
inference(superposition,[status(thm)],[c_482506,c_479987]) ).
tcf(c_490621,plain,
! [X0: $i,X1: $i] :
( s_e(s(X0,X1),X1,X0,X0)
| ~ s_t(X0,s(X0,X1),X0)
| ~ s_t(s(X0,X1),X0,X1) ),
inference(superposition,[status(thm)],[c_482505,c_479987]) ).
tcf(c_490622,plain,
! [X0: $i,X1: $i] :
( s_e(X0,X0,s(X0,X1),X1)
| ~ s_t(X0,s(X0,X1),X0)
| ~ s_t(s(X0,X1),X0,X1) ),
inference(superposition,[status(thm)],[c_482977,c_479987]) ).
tcf(c_490623,plain,
! [X0: $i,X1: $i] :
( s_e(X0,s(X1,X0),X1,X1)
| ~ s_t(X1,X0,X1)
| ~ s_t(X0,X1,s(X1,X0)) ),
inference(superposition,[status(thm)],[c_482962,c_479987]) ).
tcf(c_490624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ext(X2,X1,X3,X0),X1,X3)
| ~ s_t(X1,X0,X3)
| ~ s_t(X0,X1,ext(X2,X1,X3,X0)) ),
inference(superposition,[status(thm)],[c_479974,c_479987]) ).
tcf(c_490625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,ext(X0,X1,X2,X3),X2)
| ~ s_t(X3,ext(X0,X1,X2,X3),X1)
| ~ s_t(ext(X0,X1,X2,X3),X3,X2) ),
inference(superposition,[status(thm)],[c_480040,c_479987]) ).
tcf(c_490626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ext(X2,X1,X3,X4),X1,X5)
| ~ s_t(X1,X0,X5)
| ~ s_e(X3,X4,X0,X5)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_479951,c_479987]) ).
tcf(c_490627,plain,
! [X0: $i,X1: $i] :
( s_e(X1,s(X0,X1),X0,X0)
| ~ s_t(X0,X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_490623,c_485940]) ).
tcf(c_490630,plain,
! [X0: $i,X1: $i] :
( s_e(X0,X0,X1,s(X0,X1))
| ~ s_t(X0,X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_490620,c_485940]) ).
tcf(c_490634,plain,
! [X0: $i,X1: $i] :
( s_e(X0,X0,s(X0,X1),X1)
| ~ s_t(X0,s(X0,X1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_490622,c_485941]) ).
tcf(c_490637,plain,
! [X0: $i,X1: $i] :
( s_e(s(X0,X1),X1,X0,X0)
| ~ s_t(X0,s(X0,X1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_490621,c_485941]) ).
tcf(c_490697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X3,X2,ext(X1,X0,X2,X3))
| ~ s_t(X2,X3,ext(X1,X0,X2,X3))
| ~ s_t(X0,ext(X1,X0,X2,X3),X3) ),
inference(superposition,[status(thm)],[c_49,c_479988]) ).
tcf(c_490698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ext(X4,ext(X1,X0,X2,X3),X3,X5),X2,X5)
| ~ s_t(X2,X3,X5)
| ~ s_t(X0,ext(X1,X0,X2,X3),ext(X4,ext(X1,X0,X2,X3),X3,X5)) ),
inference(superposition,[status(thm)],[c_53,c_479988]) ).
tcf(c_490700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ins(X3,X4,ext(X1,X0,X2,X3),X5),X2,X4)
| ~ s_t(X2,X3,X4)
| ~ le(ext(X1,X0,X2,X3),X5,X3,X4)
| ~ s_t(X0,ext(X1,X0,X2,X3),ins(X3,X4,ext(X1,X0,X2,X3),X5)) ),
inference(superposition,[status(thm)],[c_111,c_479988]) ).
tcf(c_490701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X5,X0,ext(X2,X1,ext(X3,X4,X0,X1),X5))
| ~ s_t(X4,ext(X3,X4,X0,X1),X5)
| ~ s_t(X0,X1,ext(X2,X1,ext(X3,X4,X0,X1),X5)) ),
inference(superposition,[status(thm)],[c_479942,c_479988]) ).
tcf(c_490702,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X0,X2,X2)
| ~ s_t(X2,X2,X2)
| ~ s_t(X0,ext(X1,X0,X2,X2),X0) ),
inference(superposition,[status(thm)],[c_479960,c_479988]) ).
tcf(c_490703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X0,s(X1,ext(X2,X3,X0,X1)))
| ~ s_t(X3,ext(X2,X3,X0,X1),X1)
| ~ s_t(X0,X1,s(X1,ext(X2,X3,X0,X1))) ),
inference(superposition,[status(thm)],[c_482506,c_479988]) ).
tcf(c_490704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,s(ext(X1,X0,X2,X3),X3),X2,ext(X1,X0,X2,X3))
| ~ s_t(X2,X3,ext(X1,X0,X2,X3))
| ~ s_t(X0,ext(X1,X0,X2,X3),s(ext(X1,X0,X2,X3),X3)) ),
inference(superposition,[status(thm)],[c_482962,c_479988]) ).
tcf(c_490705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ext(X4,ext(X1,X0,X2,X3),X5,X3),X2,X5)
| ~ s_t(X2,X3,X5)
| ~ s_t(X0,ext(X1,X0,X2,X3),ext(X4,ext(X1,X0,X2,X3),X5,X3)) ),
inference(superposition,[status(thm)],[c_479974,c_479988]) ).
tcf(c_490706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X0,X2,X2)
| ~ s_t(X2,X3,X2)
| ~ s_t(X0,ext(X1,X0,X2,X3),X0) ),
inference(superposition,[status(thm)],[c_480040,c_479988]) ).
tcf(c_490707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X0,ext(X4,ext(X1,X0,X2,X3),X5,X6),X2,X7)
| ~ s_t(X2,X3,X7)
| ~ s_e(X5,X6,X3,X7)
| ~ s_t(X0,ext(X1,X0,X2,X3),ext(X4,ext(X1,X0,X2,X3),X5,X6)) ),
inference(superposition,[status(thm)],[c_479951,c_479988]) ).
tcf(c_490833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ext(X2,X1,X1,X3),X0,X3)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,ext(X2,X1,X1,X3)) ),
inference(superposition,[status(thm)],[c_53,c_479989]) ).
tcf(c_490834,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_61,c_479989]) ).
tcf(c_490836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ins(X1,X2,X1,X3),X0,X2)
| ~ s_t(X0,X1,X2)
| ~ le(X1,X3,X1,X2)
| ~ s_t(X0,X1,ins(X1,X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_111,c_479989]) ).
tcf(c_490837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,s(X1,X3),X0,s(X1,X4))
| ~ s_e(X2,X3,X2,X4)
| ~ s_t(X0,s(X1,X2),s(X1,X4))
| ~ s_t(X0,s(X1,X2),s(X1,X3)) ),
inference(superposition,[status(thm)],[c_169,c_479989]) ).
tcf(c_490838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X2,X0,X3)
| ~ s_m(X2,X1,X3)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_240,c_479989]) ).
tcf(c_490839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X3,X0,s(X2,X3))
| ~ s_r(X1,X2,X3)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_249,c_479989]) ).
tcf(c_490840,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X0,s(X1,X2))
| ~ s_t(X0,X1,X2)
| ~ s_t(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_482414,c_479989]) ).
tcf(c_490841,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,s(X1,X2),X0,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_482508,c_479989]) ).
tcf(c_490842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X3,X0,ext(X2,X1,X1,X3))
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,ext(X2,X1,X1,X3)) ),
inference(superposition,[status(thm)],[c_479942,c_479989]) ).
tcf(c_490843,plain,
! [X0: $i,X1: $i] :
( s_e(X0,X1,X0,s(X1,X1))
| ~ s_t(X0,X1,X1)
| ~ s_t(X0,X1,s(X1,X1)) ),
inference(superposition,[status(thm)],[c_482506,c_479989]) ).
tcf(c_490844,plain,
! [X0: $i,X1: $i] :
( s_e(X0,s(X1,X1),X0,X1)
| ~ s_t(X0,X1,X1)
| ~ s_t(X0,X1,s(X1,X1)) ),
inference(superposition,[status(thm)],[c_482962,c_479989]) ).
tcf(c_490845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ext(X2,X1,X3,X1),X0,X3)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,ext(X2,X1,X3,X1)) ),
inference(superposition,[status(thm)],[c_479974,c_479989]) ).
tcf(c_490846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ext(X2,X1,X3,X4),X0,X5)
| ~ s_t(X0,X1,X5)
| ~ s_e(X3,X4,X1,X5)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_479951,c_479989]) ).
tcf(c_490847,plain,
! [X0: $i,X1: $i] :
( s_e(X0,s(X1,X1),X0,X1)
| ~ s_t(X0,X1,s(X1,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_490844,c_72]) ).
tcf(c_490850,plain,
! [X0: $i,X1: $i] :
( s_e(X0,X1,X0,s(X1,X1))
| ~ s_t(X0,X1,s(X1,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_490843,c_72]) ).
tcf(c_490894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,ext(X0,X1,X2,X3),X1) = ext(X0,X1,X2,X3) ) ),
inference(superposition,[status(thm)],[c_52,c_480011]) ).
tcf(c_490895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X0,X1,X2,X3,X4) = X1 )
| ( ext(X1,ip(X0,X1,X2,X3,X4),X3,ip(X0,X1,X2,X3,X4)) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_56,c_480011]) ).
tcf(c_490896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ext(X4,ip(X0,X1,X2,X3,X4),X0,ip(X0,X1,X2,X3,X4)) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_480011]) ).
tcf(c_490897,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X1,X1) = X1 ) ),
inference(superposition,[status(thm)],[c_72,c_480011]) ).
tcf(c_490899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( ext(X3,crossbar(X0,X1,X2,X4,X5,X3),X2,crossbar(X0,X1,X2,X4,X5,X3)) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_480011]) ).
tcf(c_490900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( ext(X1,crossbar(X0,X1,X2,X4,X5,X3),X5,crossbar(X0,X1,X2,X4,X5,X3)) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_480011]) ).
tcf(c_490901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,ins(X2,X3,X0,X1),X1) = ins(X2,X3,X0,X1) )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_110,c_480011]) ).
tcf(c_490902,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,c63(X0,X1,X2),X1) = c63(X0,X1,X2) )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_129,c_480011]) ).
tcf(c_490903,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( ext(X2,X1,c63(X0,X1,X2),X1) = c63(X0,X1,X2) )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_130,c_480011]) ).
tcf(c_490904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X3,X0) = s(X3,X1) )
| ( ext(s(X3,X0),s(X3,X1),s(X3,X2),s(X3,X1)) = s(X3,X2) )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_167,c_480011]) ).
tcf(c_490905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(ext(X3,X2,alpha,gamma),X2,X0,X1) = X2 )
| ( ext(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3,ext(ext(X3,X2,alpha,gamma),X2,X0,X1)) = X3 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_231,c_480011]) ).
tcf(c_490906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X0,X1,X2,X3) = X1 )
| ( ext(ext(X0,X1,X2,X3),X1,X0,X1) = X0 ) ),
inference(superposition,[status(thm)],[c_480073,c_480011]) ).
tcf(c_490907,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,s(X1,X0),X1) = s(X1,X0) ) ),
inference(superposition,[status(thm)],[c_485940,c_480011]) ).
tcf(c_490908,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X0 )
| ( ext(s(X0,X1),X0,X1,X0) = X1 ) ),
inference(superposition,[status(thm)],[c_485941,c_480011]) ).
tcf(c_490909,plain,
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| ( sK2 = sK3 )
| ( ext(sK2,sK3,sK1,sK3) = sK1 ) ),
inference(superposition,[status(thm)],[c_30027,c_480011]) ).
tcf(c_491002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ext(ext(X0,X1,X2,X3),X1,X4,X5) = X1 )
| ( ext(ext(ext(X0,X1,X2,X3),X1,X4,X5),X1,X2,X3) = ext(X0,X1,X2,X3) ) ),
inference(superposition,[status(thm)],[c_480073,c_480012]) ).
tcf(c_491003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X0,ext(X1,X0,X2,X3)) = X0 )
| ( ext(s(X0,ext(X1,X0,X2,X3)),X0,X2,X3) = ext(X1,X0,X2,X3) ) ),
inference(superposition,[status(thm)],[c_485941,c_480012]) ).
tcf(c_491004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,X2) = ext(X3,X1,X2,X2) )
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_480032,c_480012]) ).
tcf(c_491005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X2,X1,X3,X3) = X1 )
| ~ s_t(X0,X1,X1) ),
inference(light_normalisation,[status(thm)],[c_491004,c_480032]) ).
tcf(c_491050,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X2,s(X0,X1),s(X0,X2))
| ~ s_t(X1,s(X0,X1),X2)
| ~ s_t(s(X0,X1),X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_482413,c_479987]) ).
tcf(c_491051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X4,s(X2,X1))
| ( s(X2,X0) = X0 )
| ~ s_t(X0,s(X2,X0),X4)
| ~ s_t(s(X2,X0),X0,X3)
| ~ s_e(X0,X3,s(X2,X0),X4)
| ~ s_e(X0,X1,s(X2,X0),s(X2,X1)) ),
inference(superposition,[status(thm)],[c_482413,c_479886]) ).
tcf(c_491052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X2,X6,X3)
| ~ s_t(X1,X6,s(X0,X4))
| ~ s_t(s(X0,X1),X5,X4)
| ~ s_e(X5,X4,X6,s(X0,X4))
| ~ s_e(X4,X2,s(X0,X4),X3)
| ~ s_e(s(X0,X1),X2,X1,X3) ),
inference(superposition,[status(thm)],[c_482413,c_2500]) ).
tcf(c_491053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(s(X1,X0),X2,X0,X3)
| ~ s_t(X0,s(X1,X2),X3) ),
inference(superposition,[status(thm)],[c_482413,c_233]) ).
tcf(c_491054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(s(X2,X1),X3,X1)
| s_col(s(X2,X1),X0,X1)
| ( s(X2,X0) = X0 )
| ~ s_col(X0,X3,s(X2,X0))
| ~ s_col(s(X2,X1),X3,X1)
| ~ s_e(X0,X1,s(X2,X0),s(X2,X1)) ),
inference(superposition,[status(thm)],[c_482413,c_175]) ).
tcf(c_491055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X2,s(X0,X4),X3)
| ~ sameside(X4,s(X0,X1),X2)
| ~ sameside(s(X0,X4),X1,X3)
| ~ s_e(s(X0,X1),X2,X1,X3) ),
inference(superposition,[status(thm)],[c_482413,c_154]) ).
tcf(c_491056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = X3 )
| ( s(X0,X3) = X1 )
| ( s(X0,X1) = X4 )
| ~ sameside(X3,s(X0,X1),X4)
| ~ sameside(X2,s(X0,X1),X4)
| ~ s_e(s(X0,X1),X2,X1,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_482413,c_140]) ).
tcf(c_491057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X1,s(X0,X2),X5,X6)
| ~ s_e(X3,X4,X5,X6)
| ~ le(s(X0,X1),X2,X3,X4) ),
inference(superposition,[status(thm)],[c_482413,c_114]) ).
tcf(c_491058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(s(X0,X1),X2,X1,s(X0,X3))
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_482413,c_113]) ).
tcf(c_491059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,ext(ext(s(X0,X3),X1,alpha,gamma),X1,s(X0,X1),X2),s(X0,X3))
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_482413,c_91]) ).
tcf(c_491060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X3,X4),X0,X4,X2)
| ~ s_t(X4,X2,s(X3,X1))
| ~ s_t(s(X3,X4),X0,X1)
| ~ s_e(X0,X1,X2,s(X3,X1)) ),
inference(superposition,[status(thm)],[c_482413,c_90]) ).
tcf(c_491061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X0,X1),X3,X4,s(X0,X2))
| ~ s_e(X2,X3,X4,X1)
| ~ s_t(X4,X1,s(X0,X2))
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_482413,c_71]) ).
tcf(c_491063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X1,X2) = X0 )
| ( ext(X0,s(X1,X2),X2,s(X1,X3)) = X3 )
| ~ s_t(X0,s(X1,X2),X3) ),
inference(superposition,[status(thm)],[c_482413,c_68]) ).
tcf(c_491064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X2,X4),X1,X4,X3)
| ~ s_t(X4,s(X2,X0),X3)
| ~ s_t(s(X2,X4),X0,X1)
| ~ s_e(X0,X1,s(X2,X0),X3) ),
inference(superposition,[status(thm)],[c_482413,c_67]) ).
tcf(c_491065,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(s(X0,X1),X2,s(X0,X2),X1),
inference(superposition,[status(thm)],[c_482413,c_65]) ).
tcf(c_491066,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,s(X1,X2),X2,s(X1,X0)),
inference(superposition,[status(thm)],[c_482413,c_64]) ).
tcf(c_491067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X1,X0),X2,X3,X4)
| ~ s_e(X0,s(X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_482413,c_63]) ).
tcf(c_491069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X2,X6,X3)
| ( s(X0,X1) = X4 )
| ~ s_t(X1,s(X0,X4),X6)
| ~ s_t(s(X0,X1),X4,X5)
| ~ s_e(X4,X5,s(X0,X4),X6)
| ~ s_e(X4,X2,s(X0,X4),X3)
| ~ s_e(s(X0,X1),X2,X1,X3) ),
inference(superposition,[status(thm)],[c_482413,c_54]) ).
tcf(c_491070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,s(X0,X2),X3,X4)
| ~ s_e(s(X0,X1),X2,X3,X4) ),
inference(superposition,[status(thm)],[c_482413,c_50]) ).
tcf(c_491073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : s_e(X0,X1,X2,s(X3,ext(X4,s(X3,X2),X0,X1))),
inference(superposition,[status(thm)],[c_482413,c_479867]) ).
tcf(c_491074,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,X0,X1,s(X2,s(X2,X1))),
inference(superposition,[status(thm)],[c_482413,c_479966]) ).
tcf(c_491113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(s(X0,X1),X2,X1)
| s_col(s(X0,X1),X3,X1)
| ( s(X0,X3) = X3 )
| ~ s_col(X3,X2,s(X0,X3))
| ~ s_col(s(X0,X1),X2,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_491054,c_166]) ).
tcf(c_491125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X4,X3,s(X2,X4))
| ( s(X2,X0) = X0 )
| ~ s_t(X0,s(X2,X0),X3)
| ~ s_t(s(X2,X0),X0,X1)
| ~ s_e(X0,X1,s(X2,X0),X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_491051,c_166]) ).
tcf(c_491159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,s(X0,X2),X4,X2)
| ( s(X0,X1) = X1 )
| ~ s_t(X1,s(X0,X1),X3)
| ~ s_t(s(X0,X1),X1,X4)
| ~ s_e(s(X0,X1),X3,X1,X4)
| ~ s_e(s(X0,X1),s(X0,X2),X1,X2) ),
inference(superposition,[status(thm)],[c_482415,c_479886]) ).
tcf(c_491160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X2,X6,X3)
| ~ s_t(X4,X5,s(X0,X1))
| ~ s_t(s(X0,X4),X6,X1)
| ~ s_e(X5,s(X0,X1),X6,X1)
| ~ s_e(X4,X2,s(X0,X4),X3)
| ~ s_e(s(X0,X1),X2,X1,X3) ),
inference(superposition,[status(thm)],[c_482415,c_2500]) ).
tcf(c_491161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X1,s(X0,X2),s(X0,X1),X3)
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_482415,c_233]) ).
tcf(c_491162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(X2,X3,s(X0,X2))
| s_col(X2,s(X0,X1),s(X0,X2))
| ( s(X0,X1) = X1 )
| ~ s_col(X2,X3,s(X0,X2))
| ~ s_col(s(X0,X1),X3,X1)
| ~ s_e(s(X0,X1),s(X0,X2),X1,X2) ),
inference(superposition,[status(thm)],[c_482415,c_175]) ).
tcf(c_491163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X2,X4),X1,X4,X3)
| ~ sameside(X4,s(X2,X0),X3)
| ~ sameside(s(X2,X4),X0,X1)
| ~ s_e(X0,X1,s(X2,X0),X3) ),
inference(superposition,[status(thm)],[c_482415,c_154]) ).
tcf(c_491164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X4 )
| ( s(X2,X3) = X1 )
| ( s(X2,X0) = X3 )
| ~ sameside(X1,X0,X4)
| ~ sameside(s(X2,X3),X0,X4)
| ~ s_e(X0,X1,s(X2,X0),X3) ),
inference(superposition,[status(thm)],[c_482415,c_140]) ).
tcf(c_491165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(s(X1,X0),X2,X5,X6)
| ~ s_e(X3,X4,X5,X6)
| ~ le(X0,s(X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_482415,c_114]) ).
tcf(c_491166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,s(X2,X0),X3)
| ~ s_t(X0,X1,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_482415,c_113]) ).
tcf(c_491167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X2,X0),ext(ext(X3,s(X2,X0),alpha,gamma),s(X2,X0),X0,X1),X3)
| ~ s_t(X0,X1,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_482415,c_91]) ).
tcf(c_491168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X0,s(X1,X4),X3)
| ~ s_t(X4,X0,s(X1,X2))
| ~ s_t(s(X1,X4),X3,X2)
| ~ s_e(X0,s(X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_482415,c_90]) ).
tcf(c_491169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X2,X3,X1)
| ~ s_t(X4,s(X0,X1),X2)
| ~ s_t(X3,s(X0,X4),X1)
| ~ s_e(s(X0,X1),X2,X3,s(X0,X4)) ),
inference(superposition,[status(thm)],[c_482415,c_71]) ).
tcf(c_491171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,s(X2,X1),X3) = s(X2,X3) )
| ~ s_t(X0,X1,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_482415,c_68]) ).
tcf(c_491172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X2,s(X0,X4),X3)
| ~ s_t(X4,s(X0,X1),X2)
| ~ s_t(s(X0,X4),X1,X3)
| ~ s_e(s(X0,X1),X2,X1,X3) ),
inference(superposition,[status(thm)],[c_482415,c_67]) ).
tcf(c_491177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X4,X2,X5,X3)
| ( s(X0,X1) = X6 )
| ~ s_t(X6,s(X0,X1),X4)
| ~ s_t(s(X0,X6),X1,X5)
| ~ s_e(X6,X2,s(X0,X6),X3)
| ~ s_e(s(X0,X1),X4,X1,X5)
| ~ s_e(s(X0,X1),X2,X1,X3) ),
inference(superposition,[status(thm)],[c_482415,c_54]) ).
tcf(c_491181,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,X0,s(X1,s(X1,X2)),X2),
inference(superposition,[status(thm)],[c_482415,c_479966]) ).
tcf(c_491316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X1,ext(X0,X1,X2,X3)) = ext(X0,X1,X2,X3) ) ),
inference(superposition,[status(thm)],[c_52,c_480013]) ).
tcf(c_491317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X0,X1,X2,X3,X4) = X1 )
| ( ext(X1,ip(X0,X1,X2,X3,X4),ip(X0,X1,X2,X3,X4),X3) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_56,c_480013]) ).
tcf(c_491318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ext(X4,ip(X0,X1,X2,X3,X4),ip(X0,X1,X2,X3,X4),X0) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_480013]) ).
tcf(c_491321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( ext(X3,crossbar(X0,X1,X2,X4,X5,X3),crossbar(X0,X1,X2,X4,X5,X3),X2) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_480013]) ).
tcf(c_491322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( ext(X1,crossbar(X0,X1,X2,X4,X5,X3),crossbar(X0,X1,X2,X4,X5,X3),X5) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_480013]) ).
tcf(c_491323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X1,ins(X2,X3,X0,X1)) = ins(X2,X3,X0,X1) )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_110,c_480013]) ).
tcf(c_491324,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X1,c63(X0,X1,X2)) = c63(X0,X1,X2) )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_129,c_480013]) ).
tcf(c_491325,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( ext(X2,X1,X1,c63(X0,X1,X2)) = c63(X0,X1,X2) )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_130,c_480013]) ).
tcf(c_491326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X3,X0) = s(X3,X1) )
| ( ext(s(X3,X0),s(X3,X1),s(X3,X1),s(X3,X2)) = s(X3,X2) )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_167,c_480013]) ).
tcf(c_491327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(ext(X3,X2,alpha,gamma),X2,X0,X1) = X2 )
| ( ext(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3) = X3 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_231,c_480013]) ).
tcf(c_491328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X0,X1,X2,X3) = X1 )
| ( ext(ext(X0,X1,X2,X3),X1,X1,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_480073,c_480013]) ).
tcf(c_491329,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X1,s(X1,X0)) = s(X1,X0) ) ),
inference(superposition,[status(thm)],[c_485940,c_480013]) ).
tcf(c_491330,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X0 )
| ( ext(s(X0,X1),X0,X0,X1) = X1 ) ),
inference(superposition,[status(thm)],[c_485941,c_480013]) ).
tcf(c_491331,plain,
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| ( sK2 = sK3 )
| ( ext(sK2,sK3,sK3,sK1) = sK1 ) ),
inference(superposition,[status(thm)],[c_30027,c_480013]) ).
tcf(c_491391,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X0,X0,X2)
| ~ s_t(X2,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_49,c_480053]) ).
tcf(c_491392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ext(X2,X1,X3,X1),X3,X0)
| ~ s_t(X3,X1,X0)
| ~ s_t(X0,X1,ext(X2,X1,X3,X1)) ),
inference(superposition,[status(thm)],[c_53,c_480053]) ).
tcf(c_491393,plain,
! [X0: $i,X1: $i] :
( s_e(X1,X0,X0,X1)
| ~ s_t(X1,X0,X0)
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_61,c_480053]) ).
tcf(c_491395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ins(X2,X1,X1,X3),X2,X0)
| ~ s_t(X2,X1,X0)
| ~ le(X1,X3,X2,X1)
| ~ s_t(X0,X1,ins(X2,X1,X1,X3)) ),
inference(superposition,[status(thm)],[c_111,c_480053]) ).
tcf(c_491396,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X1,s(X0,s(X0,X1)),X2)
| ~ s_t(X2,s(X0,X1),X1)
| ~ s_t(s(X0,s(X0,X1)),s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_166,c_480053]) ).
tcf(c_491397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,s(X0,X4),s(X0,X1),X3)
| ~ s_e(X2,X4,X1,X2)
| ~ s_t(X3,s(X0,X2),s(X0,X4))
| ~ s_t(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_169,c_480053]) ).
tcf(c_491398,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X2,X0,X1)
| ~ s_m(X2,X0,X0)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_240,c_480053]) ).
tcf(c_491399,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X1,s(X0,X1),X2)
| ~ s_r(s(X0,X1),X0,X1)
| ~ s_t(X2,s(X0,X1),X1)
| ~ s_t(s(X0,X1),s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_249,c_480053]) ).
tcf(c_491400,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X0,X0,X2)
| ~ s_t(X2,s(X1,X0),X0)
| ~ s_t(X0,s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_482413,c_480053]) ).
tcf(c_491401,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,s(X0,X1),s(X0,X1),X2)
| ~ s_t(X2,X1,s(X0,X1))
| ~ s_t(s(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_482415,c_480053]) ).
tcf(c_491402,plain,
! [X0: $i,X1: $i] :
( s_e(X1,X0,s(X0,X0),X1)
| ~ s_t(X1,X0,X0)
| ~ s_t(s(X0,X0),X0,X1) ),
inference(superposition,[status(thm)],[c_482416,c_480053]) ).
tcf(c_491403,plain,
! [X0: $i,X1: $i] :
( s_e(X0,s(X1,X1),X1,X0)
| ~ s_t(X1,X1,X0)
| ~ s_t(X0,X1,s(X1,X1)) ),
inference(superposition,[status(thm)],[c_482508,c_480053]) ).
tcf(c_491404,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X1,s(X0,X1),X2)
| ~ s_t(X2,X0,X1)
| ~ s_t(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_482505,c_480053]) ).
tcf(c_491405,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,s(X1,X2),X2,X0)
| ~ s_t(X2,X1,X0)
| ~ s_t(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_482962,c_480053]) ).
tcf(c_491406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ext(X2,X1,X1,X3),X3,X0)
| ~ s_t(X3,X1,X0)
| ~ s_t(X0,X1,ext(X2,X1,X1,X3)) ),
inference(superposition,[status(thm)],[c_479974,c_480053]) ).
tcf(c_491407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ext(X2,X1,X3,X4),X5,X0)
| ~ s_t(X5,X1,X0)
| ~ s_e(X3,X4,X5,X1)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_479951,c_480053]) ).
tcf(c_491414,plain,
! [X0: $i,X1: $i] :
( s_e(X0,s(X1,X1),X1,X0)
| ~ s_t(X0,X1,s(X1,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_491403,c_74]) ).
tcf(c_491418,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X1,X0)
| ~ s_m(X2,X1,X1)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_491398,c_74]) ).
tcf(c_491437,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,s(X1,X2),X0)
| ~ s_r(s(X1,X2),X1,X2)
| ~ s_t(X0,s(X1,X2),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_491399,c_74]) ).
tcf(c_491489,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(X1,X2),X2,X0,s(X1,X0))
| ~ s_t(s(X1,X2),X0,X2)
| ~ s_t(X0,s(X1,X2),s(X1,X0)) ),
inference(superposition,[status(thm)],[c_482427,c_479987]) ).
tcf(c_491490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X4,s(X0,X2))
| ( s(X0,X1) = X2 )
| ~ s_t(X2,s(X0,X1),X3)
| ~ s_t(s(X0,X1),X2,X4)
| ~ s_e(s(X0,X1),X3,X2,X4)
| ~ s_e(s(X0,X1),X1,X2,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_482427,c_479886]) ).
tcf(c_491491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X6,X4,X2,X5)
| ~ s_t(X3,X6,X1)
| ~ s_e(X6,X1,X2,s(X0,X3))
| ~ s_e(X3,X4,s(X0,X1),X5)
| ~ s_e(X1,X4,s(X0,X3),X5)
| ~ s_t(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_482427,c_2500]) ).
tcf(c_491492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X2,X1,s(X0,X1),X3)
| ~ s_t(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_482427,c_233]) ).
tcf(c_491493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(X2,X3,s(X1,X0))
| s_col(X2,X0,s(X1,X0))
| ( s(X1,X2) = X0 )
| ~ s_col(X2,X3,s(X1,X0))
| ~ s_col(X0,X3,s(X1,X2))
| ~ s_e(X0,s(X1,X0),s(X1,X2),X2) ),
inference(superposition,[status(thm)],[c_482427,c_175]) ).
tcf(c_491494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X4,s(X0,X1),X3)
| ~ sameside(X2,X1,X4)
| ~ s_e(X1,X4,s(X0,X2),X3)
| ~ sameside(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_482427,c_154]) ).
tcf(c_491495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X3 )
| ( X0 = X4 )
| ( s(X2,X0) = s(X2,X3) )
| ~ sameside(X3,X0,X4)
| ~ sameside(X1,X0,X4)
| ~ s_e(X0,X1,s(X2,X3),s(X2,X0)) ),
inference(superposition,[status(thm)],[c_482427,c_140]) ).
tcf(c_491496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(s(X6,X5),s(X6,X4),X2,X3)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482427,c_114]) ).
tcf(c_491497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,s(X3,X2),s(X3,X0))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482427,c_113]) ).
tcf(c_491498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X3,X2),ext(ext(s(X3,X0),s(X3,X2),alpha,gamma),s(X3,X2),X0,X1),s(X3,X0))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482427,c_91]) ).
tcf(c_491499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X4,s(X0,X1),X2)
| ~ s_t(X3,X4,X1)
| ~ s_e(X4,X1,X2,s(X0,X3))
| ~ s_t(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_482427,c_90]) ).
tcf(c_491500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X4,X0,s(X1,X3))
| ~ s_t(X3,X2,X4)
| ~ s_e(X2,X4,X0,s(X1,X2))
| ~ s_t(X0,s(X1,X2),s(X1,X3)) ),
inference(superposition,[status(thm)],[c_482427,c_71]) ).
tcf(c_491502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,s(X3,X2),s(X3,X1)) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482427,c_68]) ).
tcf(c_491503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X4,s(X0,X1),X3)
| ~ s_t(X2,X1,X4)
| ~ s_e(X1,X4,s(X0,X2),X3)
| ~ s_t(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_482427,c_67]) ).
tcf(c_491506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X1,X3,X4)
| ~ s_e(s(X0,X1),s(X0,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_482427,c_63]) ).
tcf(c_491507,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(s(X0,X1),s(X0,X2),X2,X1),
inference(superposition,[status(thm)],[c_482427,c_62]) ).
tcf(c_491508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X6,X4,X3,X5)
| ( X1 = X2 )
| ~ s_t(X2,X1,X6)
| ~ s_e(X2,X4,s(X0,X1),X5)
| ~ s_e(X1,X6,s(X0,X2),X3)
| ~ s_e(X1,X4,s(X0,X2),X5)
| ~ s_t(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_482427,c_54]) ).
tcf(c_491509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X4,X1),s(X4,X0),X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482427,c_50]) ).
tcf(c_491511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,s(X1,X2),X4)
| ~ s_m(X3,X5,X0)
| ~ s_t(X3,s(X1,X2),X2)
| ~ s_m(X2,X4,s(X1,s(X1,X2)))
| ~ s_e(s(X1,X2),X3,s(X1,X2),X0)
| ~ s_t(X0,s(X1,X2),s(X1,s(X1,X2))) ),
inference(superposition,[status(thm)],[c_482427,c_178]) ).
tcf(c_491512,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X0,s(X1,s(X1,X2)))
| ~ s_t(X0,s(X1,X2),X2)
| ~ s_t(X0,s(X1,X2),s(X1,s(X1,X2))) ),
inference(superposition,[status(thm)],[c_482427,c_479989]) ).
tcf(c_491513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X4,s(X2,s(X2,X1)))
| ( s(X2,X1) = X0 )
| ~ s_e(X0,X3,X0,X4)
| ~ s_t(s(X2,X1),X0,X4)
| ~ s_t(s(X2,X1),X0,X3)
| ~ s_e(X0,X1,X0,s(X2,s(X2,X1))) ),
inference(superposition,[status(thm)],[c_482427,c_479928]) ).
tcf(c_491515,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X2,s(X2,X0)) = X0 )
| ~ s_t(X1,X0,s(X2,X0))
| ~ s_m(X0,X1,s(X2,s(X2,X0))) ),
inference(superposition,[status(thm)],[c_482427,c_297638]) ).
tcf(c_491516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X3,s(X0,s(X0,X1)))
| ( s(X0,X1) = X2 )
| ~ s_col(X2,s(X0,X1),X3)
| ~ s_m(s(X0,s(X0,X1)),X2,X1) ),
inference(superposition,[status(thm)],[c_482427,c_86598]) ).
tcf(c_491517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X0,X3,s(X2,s(X2,X0)))
| ( s(X2,X0) = X1 )
| ~ s_col(X1,s(X2,X0),X3)
| ~ s_m(X0,X1,s(X2,s(X2,X0))) ),
inference(superposition,[status(thm)],[c_482427,c_86593]) ).
tcf(c_491518,plain,
! [X0: $i,X1: $i] :
( s_m(X0,s(X1,X0),s(X1,s(X1,X0)))
| ~ s_t(X0,s(X1,X0),s(X1,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_482427,c_241]) ).
tcf(c_491519,plain,
! [X0: $i,X1: $i] : s_m(X0,isomidpoint(X0,s(X1,s(X1,X0)),s(X1,X0)),s(X1,s(X1,X0))),
inference(superposition,[status(thm)],[c_482427,c_179]) ).
tcf(c_491520,plain,
! [X0: $i,X1: $i] :
( s_m(X0,s(X1,X0),s(X1,s(X1,X0)))
| ( s(X1,s(X1,X0)) = X0 )
| ~ s_col(X0,s(X1,X0),s(X1,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_482427,c_174]) ).
tcf(c_491522,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X2,s(X2,X1)) = X1 )
| ~ s_t(s(X2,X1),X1,X0)
| ~ s_e(X0,X1,X0,s(X2,s(X2,X1))) ),
inference(superposition,[status(thm)],[c_482427,c_106]) ).
tcf(c_491523,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X2,X1) = X0 )
| ( s(X2,s(X2,X1)) = X1 )
| ~ s_col(s(X2,X1),X0,X1)
| ~ s_e(X0,X1,X0,s(X2,s(X2,X1))) ),
inference(superposition,[status(thm)],[c_482427,c_105]) ).
tcf(c_491524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X3,s(X2,s(X2,X1)))
| ( s(X2,X1) = X0 )
| ~ s_col(s(X2,X1),X0,X3)
| ~ s_e(X0,X1,X0,s(X2,s(X2,X1))) ),
inference(superposition,[status(thm)],[c_482427,c_104]) ).
tcf(c_491526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : s_e(X0,X1,s(X2,ext(X3,X4,X0,X1)),s(X2,X4)),
inference(superposition,[status(thm)],[c_482427,c_479867]) ).
tcf(c_491528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X2,X0,s(X1,ext(X3,X4,X0,s(X1,X2))))
| ~ s_t(X4,ext(X3,X4,X0,s(X1,X2)),X2)
| ~ s_t(X0,s(X1,X2),s(X1,ext(X3,X4,X0,s(X1,X2)))) ),
inference(superposition,[status(thm)],[c_482427,c_479988]) ).
tcf(c_491529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X4,X6,s(X3,ext(X0,X1,X2,s(X3,X4))))
| ( ext(X0,X1,X2,s(X3,X4)) = X1 )
| ~ s_t(X2,s(X3,X4),X6)
| ~ s_t(X1,ext(X0,X1,X2,s(X3,X4)),X5)
| ~ s_e(X1,X4,X2,s(X3,ext(X0,X1,X2,s(X3,X4))))
| ~ s_e(ext(X0,X1,X2,s(X3,X4)),X5,s(X3,X4),X6) ),
inference(superposition,[status(thm)],[c_482427,c_479887]) ).
tcf(c_491574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X2,X3,X2)
| ( s(X1,X2) = X0 )
| ~ s_m(X2,X0,X2)
| ~ s_col(X0,s(X1,X2),X3) ),
inference(light_normalisation,[status(thm)],[c_491516,c_161]) ).
tcf(c_491684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,s(X1,X2),X4,X2)
| ( s(X1,X0) = X0 )
| ~ s_t(X0,s(X1,X0),X4)
| ~ s_t(s(X1,X0),X0,X3)
| ~ s_e(X0,X3,s(X1,X0),X4)
| ~ s_e(X0,s(X1,X2),s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_482430,c_479886]) ).
tcf(c_491685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X2,X4,X6,X5)
| ~ s_t(X1,X6,X3)
| ~ s_e(X2,s(X0,X3),X6,X3)
| ~ s_e(s(X0,X3),X4,X3,X5)
| ~ s_e(s(X0,X1),X4,X1,X5)
| ~ s_t(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_482430,c_2500]) ).
tcf(c_491686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(s(X3,X0),s(X3,X1),X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482430,c_233]) ).
tcf(c_491687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(s(X0,X2),X3,X2)
| s_col(s(X0,X2),s(X0,X1),X2)
| ( s(X0,X1) = X1 )
| ~ s_col(s(X0,X2),X3,X2)
| ~ s_col(s(X0,X1),X3,X1)
| ~ s_e(s(X0,X1),X2,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_482430,c_175]) ).
tcf(c_491688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X0,X1),X3,X1,X4)
| ~ sameside(X1,X2,X4)
| ~ s_e(s(X0,X2),X3,X2,X4)
| ~ sameside(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_482430,c_154]) ).
tcf(c_491689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X2 )
| ( s(X0,X2) = X3 )
| ( s(X0,X1) = X4 )
| ~ sameside(X4,s(X0,X2),X3)
| ~ s_e(s(X0,X2),X4,X2,X1)
| ~ sameside(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_482430,c_140]) ).
tcf(c_491690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X1,X2,X5,X6)
| ~ s_e(X3,X4,X5,X6)
| ~ le(s(X0,X1),s(X0,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_482430,c_114]) ).
tcf(c_491691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(s(X0,X1),X2,X1,X3)
| ~ s_t(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_482430,c_113]) ).
tcf(c_491692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,ext(ext(X3,X1,alpha,gamma),X1,s(X0,X1),X2),X3)
| ~ s_t(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_482430,c_91]) ).
tcf(c_491693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X0,X1),X2,X1,X4)
| ~ s_t(X1,X4,X3)
| ~ s_e(X2,s(X0,X3),X4,X3)
| ~ s_t(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_482430,c_90]) ).
tcf(c_491694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X0,X1),X3,X4,X2)
| ~ s_t(X4,X1,X2)
| ~ s_e(s(X0,X2),X3,X4,X1)
| ~ s_t(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_482430,c_71]) ).
tcf(c_491696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X1,X2) = X0 )
| ( ext(X0,s(X1,X2),X2,X3) = s(X1,X3) )
| ~ s_t(X0,s(X1,X2),s(X1,X3)) ),
inference(superposition,[status(thm)],[c_482430,c_68]) ).
tcf(c_491697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X0,X1),X3,X1,X4)
| ~ s_t(X1,X2,X4)
| ~ s_e(s(X0,X2),X3,X2,X4)
| ~ s_t(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_482430,c_67]) ).
tcf(c_491702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X3,X4,X6,X5)
| ( s(X0,X1) = s(X0,X2) )
| ~ s_t(X1,X2,X6)
| ~ s_e(s(X0,X2),X4,X2,X5)
| ~ s_e(s(X0,X2),X3,X2,X6)
| ~ s_e(s(X0,X1),X4,X1,X5)
| ~ s_t(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_482430,c_54]) ).
tcf(c_491707,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,s(X1,s(X1,X2)),X2,X0)
| ~ s_t(X2,s(X1,X2),X0)
| ~ s_t(X0,s(X1,X2),s(X1,s(X1,X2))) ),
inference(superposition,[status(thm)],[c_482430,c_480053]) ).
tcf(c_491751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(s(X0,X3),X2,X3)
| s_col(s(X0,X3),s(X0,X1),X3)
| ( s(X0,X1) = X1 )
| ~ s_col(s(X0,X3),X2,X3)
| ~ s_col(s(X0,X1),X2,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_491687,c_482413]) ).
tcf(c_491757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,s(X2,X4),X3,X4)
| ( s(X2,X0) = X0 )
| ~ s_t(X0,s(X2,X0),X3)
| ~ s_t(s(X2,X0),X0,X1)
| ~ s_e(X0,X1,s(X2,X0),X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_491684,c_482415]) ).
tcf(c_491820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ext(X4,ext(X1,X0,X2,X3),X5,X2),X5,X3)
| ~ s_t(X5,X2,X3)
| ~ s_t(X0,ext(X1,X0,X2,X3),ext(X4,ext(X1,X0,X2,X3),X5,X2)) ),
inference(superposition,[status(thm)],[c_53,c_480054]) ).
tcf(c_491821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X2,ext(X0,X1,X2,X3),X3)
| ~ s_t(X1,ext(X0,X1,X2,X3),X2)
| ~ s_t(ext(X0,X1,X2,X3),X2,X3) ),
inference(superposition,[status(thm)],[c_61,c_480054]) ).
tcf(c_491823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ins(X4,X2,ext(X1,X0,X2,X3),X5),X4,X3)
| ~ s_t(X4,X2,X3)
| ~ le(ext(X1,X0,X2,X3),X5,X4,X2)
| ~ s_t(X0,ext(X1,X0,X2,X3),ins(X4,X2,ext(X1,X0,X2,X3),X5)) ),
inference(superposition,[status(thm)],[c_111,c_480054]) ).
tcf(c_491824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X3,s(X0,ext(X1,X2,s(X0,X3),X4)),X4)
| ~ s_t(X2,ext(X1,X2,s(X0,X3),X4),X3)
| ~ s_t(s(X0,ext(X1,X2,s(X0,X3),X4)),s(X0,X3),X4) ),
inference(superposition,[status(thm)],[c_166,c_480054]) ).
tcf(c_491825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X4,ext(X0,X1,X2,X3),X3)
| ~ s_m(X4,ext(X0,X1,X2,X3),X2)
| ~ s_t(X1,ext(X0,X1,X2,X3),X4)
| ~ s_t(ext(X0,X1,X2,X3),X2,X3) ),
inference(superposition,[status(thm)],[c_240,c_480054]) ).
tcf(c_491826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X3,ext(X0,X1,s(X2,X3),X4),X4)
| ~ s_r(ext(X0,X1,s(X2,X3),X4),X2,X3)
| ~ s_t(X1,ext(X0,X1,s(X2,X3),X4),X3)
| ~ s_t(ext(X0,X1,s(X2,X3),X4),s(X2,X3),X4) ),
inference(superposition,[status(thm)],[c_249,c_480054]) ).
tcf(c_491827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,s(X0,X3),s(X0,ext(X1,X2,X3,X4)),X4)
| ~ s_t(X2,ext(X1,X2,X3,X4),s(X0,X3))
| ~ s_t(s(X0,ext(X1,X2,X3,X4)),X3,X4) ),
inference(superposition,[status(thm)],[c_482415,c_480054]) ).
tcf(c_491828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X0,s(X0,ext(X1,X2,X0,X3)),X3)
| ~ s_t(X2,ext(X1,X2,X0,X3),X0)
| ~ s_t(s(X0,ext(X1,X2,X0,X3)),X0,X3) ),
inference(superposition,[status(thm)],[c_482416,c_480054]) ).
tcf(c_491829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,s(ext(X1,X0,X2,X3),X2),ext(X1,X0,X2,X3),X3)
| ~ s_t(ext(X1,X0,X2,X3),X2,X3)
| ~ s_t(X0,ext(X1,X0,X2,X3),s(ext(X1,X0,X2,X3),X2)) ),
inference(superposition,[status(thm)],[c_482508,c_480054]) ).
tcf(c_491831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ext(X4,ext(X1,X0,X2,X3),X2,X5),X5,X3)
| ~ s_t(X5,X2,X3)
| ~ s_t(X0,ext(X1,X0,X2,X3),ext(X4,ext(X1,X0,X2,X3),X2,X5)) ),
inference(superposition,[status(thm)],[c_479974,c_480054]) ).
tcf(c_491832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X0,X3,X3)
| ~ s_t(X3,X2,X3)
| ~ s_t(X0,ext(X1,X0,X2,X3),X0) ),
inference(superposition,[status(thm)],[c_480040,c_480054]) ).
tcf(c_491833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X0,ext(X4,ext(X1,X0,X2,X3),X5,X6),X7,X3)
| ~ s_t(X7,X2,X3)
| ~ s_e(X5,X6,X7,X2)
| ~ s_t(X0,ext(X1,X0,X2,X3),ext(X4,ext(X1,X0,X2,X3),X5,X6)) ),
inference(superposition,[status(thm)],[c_479951,c_480054]) ).
tcf(c_491883,plain,
! [X0: $i,X1: $i] :
( s_e(X1,X0,X0,X1)
| ~ s_t(X1,X1,X0)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_49,c_480055]) ).
tcf(c_491884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ext(X2,X1,X3,X0),X3,X1)
| ~ s_t(X3,X0,X1)
| ~ s_t(X0,X1,ext(X2,X1,X3,X0)) ),
inference(superposition,[status(thm)],[c_53,c_480055]) ).
tcf(c_491887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ins(X2,X0,X1,X3),X2,X1)
| ~ s_t(X2,X0,X1)
| ~ le(X1,X3,X2,X0)
| ~ s_t(X0,X1,ins(X2,X0,X1,X3)) ),
inference(superposition,[status(thm)],[c_111,c_480055]) ).
tcf(c_491888,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(X0,X2),X2,s(X0,X1),X1)
| ~ s_t(s(X0,X2),X1,X2)
| ~ s_t(s(X0,X1),s(X0,X2),X1) ),
inference(superposition,[status(thm)],[c_166,c_480055]) ).
tcf(c_491889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X0,X2),s(X0,X4),s(X0,X1),s(X0,X3))
| ~ s_e(X3,X4,X1,X2)
| ~ s_t(s(X0,X2),s(X0,X3),s(X0,X4))
| ~ s_t(s(X0,X1),s(X0,X2),s(X0,X3)) ),
inference(superposition,[status(thm)],[c_169,c_480055]) ).
tcf(c_491890,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X2,X0,X0)
| ~ s_m(X2,X0,X1)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_240,c_480055]) ).
tcf(c_491891,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(X0,X1),X1,X2,X2)
| ~ s_r(X2,X0,X1)
| ~ s_t(X2,s(X0,X1),X2)
| ~ s_t(s(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_249,c_480055]) ).
tcf(c_491892,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(X0,X1),X1,X2,s(X0,X2))
| ~ s_t(X2,s(X0,X1),s(X0,X2))
| ~ s_t(s(X0,X1),s(X0,X2),X1) ),
inference(superposition,[status(thm)],[c_482413,c_480055]) ).
tcf(c_491894,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,s(X0,X2),s(X0,X1),X1)
| ~ s_t(X2,X1,s(X0,X2))
| ~ s_t(s(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_482415,c_480055]) ).
tcf(c_491895,plain,
! [X0: $i,X1: $i] :
( s_e(X0,X0,s(X0,X1),X1)
| ~ s_t(X0,X1,X0)
| ~ s_t(s(X0,X1),X0,X1) ),
inference(superposition,[status(thm)],[c_482416,c_480055]) ).
tcf(c_491897,plain,
! [X0: $i,X1: $i] :
( s_e(X1,X1,X0,s(X1,X0))
| ~ s_t(X1,s(X1,X0),X1)
| ~ s_t(X0,X1,s(X1,X0)) ),
inference(superposition,[status(thm)],[c_482602,c_480055]) ).
tcf(c_491898,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,s(X1,X0),X2,s(X1,X2))
| ~ s_t(X2,X0,s(X1,X2))
| ~ s_t(X0,s(X1,X2),s(X1,X0)) ),
inference(superposition,[status(thm)],[c_482430,c_480055]) ).
tcf(c_491899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(ext(X0,X1,X2,X3),X3,X1,X2)
| ~ s_t(X1,ext(X0,X1,X2,X3),X2)
| ~ s_t(ext(X0,X1,X2,X3),X2,X3) ),
inference(superposition,[status(thm)],[c_479942,c_480055]) ).
tcf(c_491900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X3,X0,ext(X2,X3,X0,X1))
| ~ s_t(X1,ext(X2,X3,X0,X1),X3)
| ~ s_t(X0,X1,ext(X2,X3,X0,X1)) ),
inference(superposition,[status(thm)],[c_479960,c_480055]) ).
tcf(c_491901,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(X0,X2),X1,s(X0,X1),X2)
| ~ s_t(s(X0,X2),X2,X1)
| ~ s_t(s(X0,X1),s(X0,X2),X2) ),
inference(superposition,[status(thm)],[c_482427,c_480055]) ).
tcf(c_491904,plain,
! [X0: $i,X1: $i] :
( s_e(X1,X0,X0,s(X0,X1))
| ~ s_t(X1,s(X0,X1),X0)
| ~ s_t(X0,X1,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_482977,c_480055]) ).
tcf(c_491906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ext(X2,X1,X0,X3),X3,X1)
| ~ s_t(X3,X0,X1)
| ~ s_t(X0,X1,ext(X2,X1,X0,X3)) ),
inference(superposition,[status(thm)],[c_479974,c_480055]) ).
tcf(c_491907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X3,X0,ext(X2,X3,X1,X0))
| ~ s_t(X1,ext(X2,X3,X1,X0),X3)
| ~ s_t(X0,X1,ext(X2,X3,X1,X0)) ),
inference(superposition,[status(thm)],[c_480040,c_480055]) ).
tcf(c_491908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ext(X2,X1,X3,X4),X5,X1)
| ~ s_t(X5,X0,X1)
| ~ s_e(X3,X4,X5,X0)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_479951,c_480055]) ).
tcf(c_491909,plain,
! [X0: $i,X1: $i] :
( s_e(X0,X0,s(X0,X1),X1)
| ~ s_t(X0,X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_491895,c_485941]) ).
tcf(c_491916,plain,
! [X0: $i,X1: $i] :
( s_e(X0,X0,X1,s(X0,X1))
| ~ s_t(X0,s(X0,X1),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_491897,c_485940]) ).
tcf(c_492120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ext(X3,ip(X0,X1,X2,X3,X4),ip(X0,X1,X2,X3,X4),X1) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480074,c_480013]) ).
tcf(c_492121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ext(X3,ip(X0,X1,X2,X3,X4),X1,ip(X0,X1,X2,X3,X4)) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480074,c_480011]) ).
tcf(c_492122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X3,ip(X0,X1,X2,X3,X4),X1,X5,X3) = X3 )
| ~ s_t(X5,X3,X1)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480074,c_479924]) ).
tcf(c_492123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X3,ip(X0,X1,X2,X3,X4),X1,ip(X0,X1,X2,X3,X4),X5) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X1) ),
inference(superposition,[status(thm)],[c_480074,c_479914]) ).
tcf(c_492124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X1,X3,ip(X0,X1,X2,X3,X4))
| ( X1 = X3 )
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480074,c_238]) ).
tcf(c_492125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(ip(X0,X1,X2,X3,X4),X3,X1)
| ( X3 = xb )
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480074,c_237]) ).
tcf(c_492126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ip(X0,X1,X2,X3,X4),X1,X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480074,c_225]) ).
tcf(c_492127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X3,ip(X0,X1,X2,X3,X4))
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480074,c_224]) ).
tcf(c_492128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,ip(X0,X1,X2,X3,X4),X1)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480074,c_223]) ).
tcf(c_492130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X0,X2)
| s_t(X0,X4,X2)
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X2) ),
inference(superposition,[status(thm)],[c_480074,c_147]) ).
tcf(c_492131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,ip(X1,X2,X3,X4,X5),X4)
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X2) ),
inference(superposition,[status(thm)],[c_480074,c_145]) ).
tcf(c_492132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,ip(X1,X2,X3,X4,X5),X4)
| sameside(X0,ip(X1,X2,X3,X4,X5),X2)
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_col(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_480074,c_143]) ).
tcf(c_492133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ s_t(X1,X2,X3)
| ~ s_t(X0,X4,X3)
| ~ sameside(X0,ip(X1,X2,X3,X0,X4),X2) ),
inference(superposition,[status(thm)],[c_480074,c_133]) ).
tcf(c_492134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X4,ip(X1,X2,X3,X4,X5),X0)
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X2) ),
inference(superposition,[status(thm)],[c_480074,c_131]) ).
tcf(c_492135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ip(X1,X2,X3,X0,X4),X2)
| ( ip(X1,X2,X3,X0,X4) = X5 )
| ( ip(X1,X2,X3,X0,X4) = X2 )
| ( ip(X1,X2,X3,X0,X4) = X0 )
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X4,X3)
| ~ sameside(X0,ip(X1,X2,X3,X0,X4),X5) ),
inference(superposition,[status(thm)],[c_480074,c_125]) ).
tcf(c_492136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X5,ip(X0,X1,X2,X3,X4))
| s_t(X3,ip(X0,X1,X2,X3,X4),X5)
| ~ s_t(X3,X5,X1)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480074,c_109]) ).
tcf(c_492137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ip(X1,X2,X3,X0,X4),X5,X2)
| s_t(ip(X1,X2,X3,X0,X4),X2,X5)
| ( ip(X1,X2,X3,X0,X4) = X0 )
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X4,X3)
| ~ s_t(X0,ip(X1,X2,X3,X0,X4),X5) ),
inference(superposition,[status(thm)],[c_480074,c_108]) ).
tcf(c_492138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,X2)
| s_t(X0,X2,X5)
| ( ip(X1,X2,X3,X0,X4) = X0 )
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X4,X3)
| ~ s_t(X0,ip(X1,X2,X3,X0,X4),X5) ),
inference(superposition,[status(thm)],[c_480074,c_107]) ).
tcf(c_492139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ip(X0,X1,X2,X3,X4),X5)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X1,X5) ),
inference(superposition,[status(thm)],[c_480074,c_81]) ).
tcf(c_492140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ip(X0,X1,X2,X3,X5),X4)
| ~ s_t(X3,X5,X2)
| ~ s_t(X3,X1,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480074,c_80]) ).
tcf(c_492141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X5,X1)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X1) ),
inference(superposition,[status(thm)],[c_480074,c_79]) ).
tcf(c_492142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X1,X5)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X1,X5) ),
inference(superposition,[status(thm)],[c_480074,c_78]) ).
tcf(c_492143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ip(X0,X1,X2,X3,X5),X1,X4)
| ~ s_t(X3,X5,X2)
| ~ s_t(X3,X1,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480074,c_77]) ).
tcf(c_492144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ip(X0,X1,X2,X3,X4),X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X1) ),
inference(superposition,[status(thm)],[c_480074,c_76]) ).
tcf(c_492145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X1) ),
inference(superposition,[status(thm)],[c_480074,c_75]) ).
tcf(c_492357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(X0,ip(X0,X1,X2,X3,X0),X0)
| ~ s_t(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_486468]) ).
tcf(c_492360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(X2,crossbar(X0,X1,X2,X3,X4,X2),X2)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_486468]) ).
tcf(c_492361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(X1,crossbar(X0,X1,X2,X4,X1,X3),X1)
| ~ s_t(X4,X1,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_486468]) ).
tcf(c_492362,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(s(X2,X0),s(X2,X1),s(X2,X0))
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_167,c_486468]) ).
tcf(c_492363,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X2,ext(ext(X2,X2,alpha,gamma),X2,X0,X1),X2)
| ~ le(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_231,c_486468]) ).
tcf(c_492364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(X1,ip(X0,X1,X2,X1,X3),X1)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480074,c_486468]) ).
tcf(c_492449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X0,X1,X2,X3,X4) = X0 )
| ( ext(X0,ip(X0,X1,X2,X3,X4),ip(X0,X1,X2,X3,X4),X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480075,c_480013]) ).
tcf(c_492450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X0,X1,X2,X3,X4) = X0 )
| ( ext(X0,ip(X0,X1,X2,X3,X4),X4,ip(X0,X1,X2,X3,X4)) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480075,c_480011]) ).
tcf(c_492451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X0,ip(X0,X1,X2,X3,X4),X4,X5,X0) = X0 )
| ~ s_t(X5,X0,X4)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480075,c_479924]) ).
tcf(c_492452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X0,ip(X0,X1,X2,X3,X4),X4,ip(X0,X1,X2,X3,X4),X5) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X4) ),
inference(superposition,[status(thm)],[c_480075,c_479914]) ).
tcf(c_492453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,X0,ip(X0,X1,X2,X3,X4))
| ( X0 = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480075,c_238]) ).
tcf(c_492454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(ip(X0,X1,X2,X3,X4),X0,X4)
| ( X0 = xb )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480075,c_237]) ).
tcf(c_492455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ip(X0,X1,X2,X3,X4),X4,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480075,c_225]) ).
tcf(c_492456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X4,X0,ip(X0,X1,X2,X3,X4))
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480075,c_224]) ).
tcf(c_492457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ip(X0,X1,X2,X3,X4),X4)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480075,c_223]) ).
tcf(c_492459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X0,X5)
| s_t(X0,X1,X5)
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X5) ),
inference(superposition,[status(thm)],[c_480075,c_147]) ).
tcf(c_492460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,ip(X1,X2,X3,X4,X5),X1)
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X5) ),
inference(superposition,[status(thm)],[c_480075,c_145]) ).
tcf(c_492461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,ip(X1,X2,X3,X4,X5),X5)
| sameside(X0,ip(X1,X2,X3,X4,X5),X1)
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_col(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_480075,c_143]) ).
tcf(c_492462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(X0,ip(X0,X1,X2,X3,X4),X4) ),
inference(superposition,[status(thm)],[c_480075,c_133]) ).
tcf(c_492463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X1,ip(X1,X2,X3,X4,X5),X0)
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X5) ),
inference(superposition,[status(thm)],[c_480075,c_131]) ).
tcf(c_492464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ip(X0,X1,X2,X3,X4),X4)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(X0,ip(X0,X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480075,c_125]) ).
tcf(c_492465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X3,ip(X0,X1,X2,X5,X4))
| s_t(X0,ip(X0,X1,X2,X5,X4),X3)
| ~ s_t(X5,X4,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480075,c_109]) ).
tcf(c_492466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X5,X4)
| s_t(ip(X0,X1,X2,X3,X4),X4,X5)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X0,ip(X0,X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480075,c_108]) ).
tcf(c_492467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,X4)
| s_t(X0,X4,X5)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X0,ip(X0,X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480075,c_107]) ).
tcf(c_492468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ip(X0,X1,X2,X3,X4),X5)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X4,X5) ),
inference(superposition,[status(thm)],[c_480075,c_81]) ).
tcf(c_492469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ip(X0,X1,X2,X5,X3),X4)
| ~ s_t(X5,X3,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480075,c_80]) ).
tcf(c_492470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,X4)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X4) ),
inference(superposition,[status(thm)],[c_480075,c_79]) ).
tcf(c_492471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X4,X5)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X4,X5) ),
inference(superposition,[status(thm)],[c_480075,c_78]) ).
tcf(c_492472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ip(X0,X1,X2,X5,X3),X3,X4)
| ~ s_t(X5,X3,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480075,c_77]) ).
tcf(c_492473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ip(X0,X1,X2,X3,X4),X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X4) ),
inference(superposition,[status(thm)],[c_480075,c_76]) ).
tcf(c_492474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X4) ),
inference(superposition,[status(thm)],[c_480075,c_75]) ).
tcf(c_492753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X2,ext(X0,X1,X2,X3),X3)
| ~ s_t(X1,X3,X2)
| ~ s_t(ext(X0,X1,X2,X3),X1,X3) ),
inference(superposition,[status(thm)],[c_488565,c_480055]) ).
tcf(c_492754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(ext(X0,X1,X2,X3),X2,X3,X1)
| ~ s_t(X3,ext(X0,X1,X2,X3),X1)
| ~ s_t(ext(X0,X1,X2,X3),X3,X2) ),
inference(superposition,[status(thm)],[c_488565,c_479987]) ).
tcf(c_492755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X2,X5,X1)
| ( ext(X0,X1,X2,X3) = X3 )
| ~ s_t(X3,ext(X0,X1,X2,X3),X4)
| ~ s_t(ext(X0,X1,X2,X3),X3,X5)
| ~ s_e(ext(X0,X1,X2,X3),X4,X3,X5)
| ~ s_e(ext(X0,X1,X2,X3),X2,X3,X1) ),
inference(superposition,[status(thm)],[c_488565,c_479886]) ).
tcf(c_492756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X7,X1,X6,X5)
| ~ s_t(X0,X7,X4)
| ~ s_e(X7,X4,X6,X3)
| ~ s_e(X4,X1,X3,X5)
| ~ s_t(ext(X2,X3,X4,X0),X6,X3)
| ~ s_e(X0,X1,ext(X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_488565,c_2500]) ).
tcf(c_492757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X3,X2,ext(X0,X1,X2,X3),X4)
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_488565,c_233]) ).
tcf(c_492758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(X3,X4,ext(X1,X2,X0,X3))
| s_col(X3,X0,ext(X1,X2,X0,X3))
| ( X0 = X2 )
| ~ s_col(X0,X4,X2)
| ~ s_col(X3,X4,ext(X1,X2,X0,X3))
| ~ s_e(X0,ext(X1,X2,X0,X3),X2,X3) ),
inference(superposition,[status(thm)],[c_488565,c_175]) ).
tcf(c_492759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X3,X5)
| ~ sameside(X4,X0,X1)
| ~ sameside(X3,ext(X2,X3,X4,X0),X5)
| ~ s_e(X0,X1,ext(X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_488565,c_154]) ).
tcf(c_492760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X4 )
| ( X0 = X5 )
| ( ext(X2,X3,X4,X0) = X3 )
| ~ sameside(X4,X0,X5)
| ~ sameside(X1,X0,X5)
| ~ s_e(X0,X1,ext(X2,X3,X4,X0),X3) ),
inference(superposition,[status(thm)],[c_488565,c_140]) ).
tcf(c_492761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(ext(X6,X7,X5,X4),X7,X2,X3)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_488565,c_114]) ).
tcf(c_492762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,ext(X3,X4,X2,X0),X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_488565,c_113]) ).
tcf(c_492763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X3,X4,X2,X0),ext(ext(X4,ext(X3,X4,X2,X0),alpha,gamma),ext(X3,X4,X2,X0),X0,X1),X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_488565,c_91]) ).
tcf(c_492764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X3,X5,ext(X0,X1,X2,X3),X4)
| ~ s_t(X3,X5,X2)
| ~ s_e(X5,X2,X4,X1)
| ~ s_t(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_488565,c_90]) ).
tcf(c_492765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X1,X2,X4)
| ~ s_t(X5,X0,X1)
| ~ s_t(X2,ext(X3,X4,X0,X5),X4)
| ~ s_e(X0,X1,X2,ext(X3,X4,X0,X5)) ),
inference(superposition,[status(thm)],[c_488565,c_71]) ).
tcf(c_492767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,ext(X3,X4,X2,X1),X4) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_488565,c_68]) ).
tcf(c_492768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X3,X5,ext(X0,X1,X2,X3),X4)
| ~ s_t(X3,X2,X5)
| ~ s_e(X2,X5,X1,X4)
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_488565,c_67]) ).
tcf(c_492773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X7,X1,X6,X5)
| ( X0 = X4 )
| ~ s_t(X0,X4,X7)
| ~ s_e(X4,X7,X3,X6)
| ~ s_e(X4,X1,X3,X5)
| ~ s_t(ext(X2,X3,X4,X0),X3,X6)
| ~ s_e(X0,X1,ext(X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_488565,c_54]) ).
tcf(c_492775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_e(X0,X1,ext(X2,X3,ext(X4,X5,X0,X1),X5),X3),
inference(superposition,[status(thm)],[c_488565,c_479867]) ).
tcf(c_492776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_e(X0,X0,ext(X1,X2,X3,X3),X2),
inference(superposition,[status(thm)],[c_488565,c_479966]) ).
tcf(c_492777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X2,ext(X0,X1,X2,X1),X3)
| ~ s_t(X3,X1,X2)
| ~ s_t(ext(X0,X1,X2,X1),X1,X3) ),
inference(superposition,[status(thm)],[c_488565,c_480053]) ).
tcf(c_492778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X2,ext(X0,X1,X2,ext(X3,X4,X1,X5)),X5)
| ~ s_t(X4,ext(X3,X4,X1,X5),X2)
| ~ s_t(ext(X0,X1,X2,ext(X3,X4,X1,X5)),X1,X5) ),
inference(superposition,[status(thm)],[c_488565,c_480054]) ).
tcf(c_492892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X3,ext(X0,X1,X2,X3),X2)
| ~ s_t(X1,X2,X3)
| ~ s_t(ext(X0,X1,X2,X3),X1,X2) ),
inference(superposition,[status(thm)],[c_488568,c_480055]) ).
tcf(c_492893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(ext(X0,X1,X2,X3),X3,X2,X1)
| ~ s_t(X2,ext(X0,X1,X2,X3),X1)
| ~ s_t(ext(X0,X1,X2,X3),X2,X3) ),
inference(superposition,[status(thm)],[c_488568,c_479987]) ).
tcf(c_492894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X3,X5,X1)
| ( ext(X0,X1,X2,X3) = X2 )
| ~ s_t(X2,ext(X0,X1,X2,X3),X4)
| ~ s_t(ext(X0,X1,X2,X3),X2,X5)
| ~ s_e(ext(X0,X1,X2,X3),X4,X2,X5)
| ~ s_e(ext(X0,X1,X2,X3),X3,X2,X1) ),
inference(superposition,[status(thm)],[c_488568,c_479886]) ).
tcf(c_492895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X7,X1,X6,X5)
| ~ s_t(X0,X7,X4)
| ~ s_e(X7,X4,X6,X3)
| ~ s_e(X4,X1,X3,X5)
| ~ s_t(ext(X2,X3,X0,X4),X6,X3)
| ~ s_e(X0,X1,ext(X2,X3,X0,X4),X5) ),
inference(superposition,[status(thm)],[c_488568,c_2500]) ).
tcf(c_492896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X2,X3,ext(X0,X1,X2,X3),X4)
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_488568,c_233]) ).
tcf(c_492897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(X3,X4,ext(X1,X2,X3,X0))
| s_col(X3,X0,ext(X1,X2,X3,X0))
| ( X0 = X2 )
| ~ s_col(X0,X4,X2)
| ~ s_col(X3,X4,ext(X1,X2,X3,X0))
| ~ s_e(X0,ext(X1,X2,X3,X0),X2,X3) ),
inference(superposition,[status(thm)],[c_488568,c_175]) ).
tcf(c_492898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X3,X5)
| ~ sameside(X4,X0,X1)
| ~ sameside(X3,ext(X2,X3,X0,X4),X5)
| ~ s_e(X0,X1,ext(X2,X3,X0,X4),X5) ),
inference(superposition,[status(thm)],[c_488568,c_154]) ).
tcf(c_492899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X4 )
| ( X0 = X5 )
| ( ext(X2,X3,X0,X4) = X3 )
| ~ sameside(X4,X0,X5)
| ~ sameside(X1,X0,X5)
| ~ s_e(X0,X1,ext(X2,X3,X0,X4),X3) ),
inference(superposition,[status(thm)],[c_488568,c_140]) ).
tcf(c_492900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(ext(X6,X7,X4,X5),X7,X2,X3)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_488568,c_114]) ).
tcf(c_492901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,ext(X3,X4,X0,X2),X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_488568,c_113]) ).
tcf(c_492902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X3,X4,X0,X2),ext(ext(X4,ext(X3,X4,X0,X2),alpha,gamma),ext(X3,X4,X0,X2),X0,X1),X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_488568,c_91]) ).
tcf(c_492903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X5,ext(X0,X1,X2,X3),X4)
| ~ s_t(X2,X5,X3)
| ~ s_e(X5,X3,X4,X1)
| ~ s_t(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_488568,c_90]) ).
tcf(c_492904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X1,X2,X4)
| ~ s_t(X5,X0,X1)
| ~ s_t(X2,ext(X3,X4,X5,X0),X4)
| ~ s_e(X0,X1,X2,ext(X3,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_488568,c_71]) ).
tcf(c_492906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,ext(X3,X4,X1,X2),X4) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_488568,c_68]) ).
tcf(c_492907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X5,ext(X0,X1,X2,X3),X4)
| ~ s_t(X2,X3,X5)
| ~ s_e(X3,X5,X1,X4)
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_488568,c_67]) ).
tcf(c_492912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X7,X1,X6,X5)
| ( X0 = X4 )
| ~ s_t(X0,X4,X7)
| ~ s_e(X4,X7,X3,X6)
| ~ s_e(X4,X1,X3,X5)
| ~ s_t(ext(X2,X3,X0,X4),X3,X6)
| ~ s_e(X0,X1,ext(X2,X3,X0,X4),X5) ),
inference(superposition,[status(thm)],[c_488568,c_54]) ).
tcf(c_492914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_e(X0,X1,ext(X2,X3,X4,ext(X5,X4,X0,X1)),X3),
inference(superposition,[status(thm)],[c_488568,c_479867]) ).
tcf(c_492916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X2,ext(X0,X1,X1,X2),X3)
| ~ s_t(X3,X1,X2)
| ~ s_t(ext(X0,X1,X1,X2),X1,X3) ),
inference(superposition,[status(thm)],[c_488568,c_480053]) ).
tcf(c_492917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X3,X5,ext(X0,X1,ext(X2,X3,X1,X4),X5),X4)
| ~ s_t(X3,ext(X2,X3,X1,X4),X5)
| ~ s_t(ext(X0,X1,ext(X2,X3,X1,X4),X5),X1,X4) ),
inference(superposition,[status(thm)],[c_488568,c_480054]) ).
tcf(c_493152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X1,ip(X6,X1,X5,ext(X0,X1,X2,X3),X4))
| ~ s_t(X6,X1,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_56,c_480111]) ).
tcf(c_493153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X1,ip(ext(X0,X1,X2,X3),X4,X5,X6,X1))
| ~ s_t(X6,X1,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_57,c_480111]) ).
tcf(c_493156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X3,crossbar(X0,X1,ext(X2,X3,X4,X5),X6,X7,X3))
| ~ s_t(X0,X3,X6)
| ~ s_t(X6,X7,ext(X2,X3,X4,X5))
| ~ s_t(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_87,c_480111]) ).
tcf(c_493157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X2,crossbar(X6,X2,X5,X0,ext(X1,X2,X3,X4),X7))
| ~ s_t(X6,X7,X0)
| ~ s_t(X6,X2,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_88,c_480111]) ).
tcf(c_493158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,ext(ext(ext(X3,X2,X4,X5),X2,alpha,gamma),X2,X0,X1))
| ~ le(X0,X1,X2,ext(X3,X2,X4,X5)) ),
inference(superposition,[status(thm)],[c_231,c_480111]) ).
tcf(c_493159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X2,ip(X0,ext(X1,X2,X3,X4),X5,X2,X6))
| ~ s_t(X2,X6,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480074,c_480111]) ).
tcf(c_493160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X2,ip(X2,X6,X5,X0,ext(X1,X2,X3,X4)))
| ~ s_t(X2,X6,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480075,c_480111]) ).
tcf(c_493196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ip(X1,X2,X3,X4,X5),ip(X0,ip(X1,X2,X3,X4,X5),X6,X4,X7))
| ~ s_t(X4,X7,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_56,c_480112]) ).
tcf(c_493197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ip(X1,X2,X3,X4,X5),ip(X4,X7,X6,X0,ip(X1,X2,X3,X4,X5)))
| ~ s_t(X4,X7,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_57,c_480112]) ).
tcf(c_493199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),ip(X0,X1,X2,X3,X4))
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_74,c_480112]) ).
tcf(c_493200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,ip(X1,X2,X3,X4,X5),crossbar(X0,X7,X4,X6,X8,ip(X1,X2,X3,X4,X5)))
| ~ s_t(X6,X8,X4)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X7,X4)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_87,c_480112]) ).
tcf(c_493201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,ip(X1,X2,X3,X4,X5),crossbar(X0,ip(X1,X2,X3,X4,X5),X6,X8,X4,X7))
| ~ s_t(X8,X4,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X7,X8)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_88,c_480112]) ).
tcf(c_493202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ip(X2,X3,X4,X5,X6),ext(ext(X5,ip(X2,X3,X4,X5,X6),alpha,gamma),ip(X2,X3,X4,X5,X6),X0,X1))
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,ip(X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_231,c_480112]) ).
tcf(c_493203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),ip(X7,X3,X6,ip(X0,X1,X2,X3,X4),X5))
| ~ s_t(X7,X3,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480074,c_480112]) ).
tcf(c_493204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),ip(ip(X0,X1,X2,X3,X4),X5,X6,X7,X3))
| ~ s_t(X7,X3,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480075,c_480112]) ).
tcf(c_493266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(ext(X0,X1,X2,X3),X2,X1,X3)
| ~ s_t(X1,ext(X0,X1,X2,X3),X3)
| ~ s_t(ext(X0,X1,X2,X3),X3,X2) ),
inference(superposition,[status(thm)],[c_488569,c_480055]) ).
tcf(c_493267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X3,X0,ext(X2,X1,X3,X0))
| ~ s_t(X1,X0,X3)
| ~ s_t(X0,X1,ext(X2,X1,X3,X0)) ),
inference(superposition,[status(thm)],[c_488569,c_479987]) ).
tcf(c_493268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,ext(X3,X0,X1,X2))
| ( X0 = X2 )
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,X2,X5)
| ~ s_e(X0,X4,X2,X5)
| ~ s_e(X0,X1,X2,ext(X3,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_488569,c_479886]) ).
tcf(c_493269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X1,X7,X5)
| ~ s_t(X4,X6,X0)
| ~ s_e(X4,X1,X3,X5)
| ~ s_t(X3,X7,ext(X2,X3,X0,X4))
| ~ s_e(X6,X0,X7,ext(X2,X3,X0,X4))
| ~ s_e(X0,X1,ext(X2,X3,X0,X4),X5) ),
inference(superposition,[status(thm)],[c_488569,c_2500]) ).
tcf(c_493270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X3,X2,X0,X4)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_488569,c_233]) ).
tcf(c_493271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(X3,X4,X1)
| s_col(X3,X0,X1)
| ( ext(X2,X1,X0,X3) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X0,X4,ext(X2,X1,X0,X3))
| ~ s_e(X0,X1,ext(X2,X1,X0,X3),X3) ),
inference(superposition,[status(thm)],[c_488569,c_175]) ).
tcf(c_493272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X5,ext(X0,X1,X2,X3),X4)
| ~ sameside(X2,X3,X5)
| ~ s_e(X3,X5,X1,X4)
| ~ sameside(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_488569,c_154]) ).
tcf(c_493273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X4 )
| ( X0 = X5 )
| ( ext(X3,X2,X4,X0) = X2 )
| ~ sameside(X4,X0,X5)
| ~ sameside(X1,X0,X5)
| ~ s_e(X0,X1,X2,ext(X3,X2,X4,X0)) ),
inference(superposition,[status(thm)],[c_488569,c_140]) ).
tcf(c_493274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X6,ext(X7,X6,X5,X4),X2,X3)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_488569,c_114]) ).
tcf(c_493275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,X3,ext(X4,X3,X2,X0))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_488569,c_113]) ).
tcf(c_493276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,ext(ext(ext(X4,X3,X2,X0),X3,alpha,gamma),X3,X0,X1),ext(X4,X3,X2,X0))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_488569,c_91]) ).
tcf(c_493277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X0,X4,X2)
| ~ s_t(X5,X0,X1)
| ~ s_t(X4,X2,ext(X3,X4,X1,X5))
| ~ s_e(X0,X1,X2,ext(X3,X4,X1,X5)) ),
inference(superposition,[status(thm)],[c_488569,c_90]) ).
tcf(c_493278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X5,X0,ext(X2,X1,X3,X4))
| ~ s_t(X4,X3,X5)
| ~ s_e(X3,X5,X0,X1)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_488569,c_71]) ).
tcf(c_493280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X3,ext(X4,X3,X2,X1)) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_488569,c_68]) ).
tcf(c_493281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X3,X5)
| ~ s_t(X4,X0,X1)
| ~ s_t(X3,ext(X2,X3,X0,X4),X5)
| ~ s_e(X0,X1,ext(X2,X3,X0,X4),X5) ),
inference(superposition,[status(thm)],[c_488569,c_67]) ).
tcf(c_493286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X1,X7,X5)
| ( X0 = X4 )
| ~ s_t(X4,X0,X6)
| ~ s_e(X4,X1,X3,X5)
| ~ s_t(X3,ext(X2,X3,X0,X4),X7)
| ~ s_e(X0,X6,ext(X2,X3,X0,X4),X7)
| ~ s_e(X0,X1,ext(X2,X3,X0,X4),X5) ),
inference(superposition,[status(thm)],[c_488569,c_54]) ).
tcf(c_493288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X1,X4)
| ~ s_m(X5,X6,X0)
| ~ s_t(X5,X1,X3)
| ~ s_e(X1,X5,X1,X0)
| ~ s_m(X3,X4,ext(X2,X1,X3,X1))
| ~ s_t(X0,X1,ext(X2,X1,X3,X1)) ),
inference(superposition,[status(thm)],[c_488569,c_178]) ).
tcf(c_493289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X3,X0,ext(X2,X1,X3,X1))
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,ext(X2,X1,X3,X1)) ),
inference(superposition,[status(thm)],[c_488569,c_479989]) ).
tcf(c_493290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,ext(X2,X3,X1,X3))
| ( X0 = X3 )
| ~ s_t(X3,X0,X5)
| ~ s_t(X3,X0,X4)
| ~ s_e(X0,X4,X0,X5)
| ~ s_e(X0,X1,X0,ext(X2,X3,X1,X3)) ),
inference(superposition,[status(thm)],[c_488569,c_479928]) ).
tcf(c_493291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X0,X1,X2,X1) = X2 )
| ~ s_t(X3,X2,X1)
| ~ s_m(ext(X0,X1,X2,X1),X3,X2) ),
inference(superposition,[status(thm)],[c_488569,c_297643]) ).
tcf(c_493292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X2,X3,X0,X3) = X0 )
| ~ s_t(X1,X0,X3)
| ~ s_m(X0,X1,ext(X2,X3,X0,X3)) ),
inference(superposition,[status(thm)],[c_488569,c_297638]) ).
tcf(c_493293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X2,X4,ext(X0,X1,X2,X1))
| ( X1 = X3 )
| ~ s_col(X3,X1,X4)
| ~ s_m(ext(X0,X1,X2,X1),X3,X2) ),
inference(superposition,[status(thm)],[c_488569,c_86598]) ).
tcf(c_493294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X0,X4,ext(X2,X3,X0,X3))
| ( X1 = X3 )
| ~ s_col(X1,X3,X4)
| ~ s_m(X0,X1,ext(X2,X3,X0,X3)) ),
inference(superposition,[status(thm)],[c_488569,c_86593]) ).
tcf(c_493295,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X0,X1,ext(X2,X1,X0,X1))
| ~ s_t(X0,X1,ext(X2,X1,X0,X1)) ),
inference(superposition,[status(thm)],[c_488569,c_241]) ).
tcf(c_493296,plain,
! [X0: $i,X1: $i,X2: $i] : s_m(X0,isomidpoint(X0,ext(X1,X2,X0,X2),X2),ext(X1,X2,X0,X2)),
inference(superposition,[status(thm)],[c_488569,c_179]) ).
tcf(c_493297,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X0,X1,ext(X2,X1,X0,X1))
| ( ext(X2,X1,X0,X1) = X0 )
| ~ s_col(X0,X1,ext(X2,X1,X0,X1)) ),
inference(superposition,[status(thm)],[c_488569,c_174]) ).
tcf(c_493298,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(X1,X0,X2,X0) = X2 )
| ~ s_t(X0,ext(X1,X0,X2,X0),X2) ),
inference(superposition,[status(thm)],[c_488569,c_122]) ).
tcf(c_493299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X2,X3,X1,X3) = X1 )
| ~ s_t(X3,X1,X0)
| ~ s_e(X0,X1,X0,ext(X2,X3,X1,X3)) ),
inference(superposition,[status(thm)],[c_488569,c_106]) ).
tcf(c_493300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ( ext(X2,X3,X1,X3) = X1 )
| ~ s_col(X3,X0,X1)
| ~ s_e(X0,X1,X0,ext(X2,X3,X1,X3)) ),
inference(superposition,[status(thm)],[c_488569,c_105]) ).
tcf(c_493301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X4,ext(X2,X3,X1,X3))
| ( X0 = X3 )
| ~ s_col(X3,X0,X4)
| ~ s_e(X0,X1,X0,ext(X2,X3,X1,X3)) ),
inference(superposition,[status(thm)],[c_488569,c_104]) ).
tcf(c_493302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_e(X0,X1,X2,ext(X3,X2,ext(X4,X5,X0,X1),X5)),
inference(superposition,[status(thm)],[c_488569,c_479867]) ).
tcf(c_493304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X3,X0,ext(X2,X1,X3,ext(X4,X5,X0,X1)))
| ~ s_t(X5,ext(X4,X5,X0,X1),X3)
| ~ s_t(X0,X1,ext(X2,X1,X3,ext(X4,X5,X0,X1))) ),
inference(superposition,[status(thm)],[c_488569,c_479988]) ).
tcf(c_493305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X1,X7,ext(X3,X4,X1,ext(X5,X0,X2,X4)))
| ( ext(X5,X0,X2,X4) = X0 )
| ~ s_t(X2,X4,X7)
| ~ s_t(X0,ext(X5,X0,X2,X4),X6)
| ~ s_e(ext(X5,X0,X2,X4),X6,X4,X7)
| ~ s_e(X0,X1,X2,ext(X3,X4,X1,ext(X5,X0,X2,X4))) ),
inference(superposition,[status(thm)],[c_488569,c_479887]) ).
tcf(c_493610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X5),ip(X0,ip(X1,X2,X3,X4,X5),X6,X1,X7))
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X7,X6)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_56,c_480113]) ).
tcf(c_493611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X5),ip(X1,X7,X6,X0,ip(X1,X2,X3,X4,X5)))
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X7,X6)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_57,c_480113]) ).
tcf(c_493613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),ip(X0,X1,X2,X3,X4))
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_74,c_480113]) ).
tcf(c_493614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X5),crossbar(X0,X7,X1,X6,X8,ip(X1,X2,X3,X4,X5)))
| ~ s_t(X6,X8,X1)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X7,X1)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_87,c_480113]) ).
tcf(c_493615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X5),crossbar(X0,ip(X1,X2,X3,X4,X5),X6,X8,X1,X7))
| ~ s_t(X8,X1,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X7,X8)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_88,c_480113]) ).
tcf(c_493616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,ip(X2,X3,X4,X5,X6),ext(ext(X2,ip(X2,X3,X4,X5,X6),alpha,gamma),ip(X2,X3,X4,X5,X6),X0,X1))
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,ip(X2,X3,X4,X5,X6),X2) ),
inference(superposition,[status(thm)],[c_231,c_480113]) ).
tcf(c_493617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),ip(X7,X0,X6,ip(X0,X1,X2,X3,X4),X5))
| ~ s_t(X7,X0,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480074,c_480113]) ).
tcf(c_493618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),ip(ip(X0,X1,X2,X3,X4),X5,X6,X7,X0))
| ~ s_t(X7,X0,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480075,c_480113]) ).
tcf(c_493670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_t(X0,ext(X1,X0,X2,X3),ext(X1,ext(X1,X0,X2,X3),X4,X5)),
inference(superposition,[status(thm)],[c_52,c_480134]) ).
tcf(c_493671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,ext(X1,X0,X2,X3),ext(X1,X0,X2,X3)),
inference(superposition,[status(thm)],[c_72,c_480134]) ).
tcf(c_493672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ext(X0,X1,X2,X3),ins(X4,X5,X0,ext(X0,X1,X2,X3)))
| ~ le(X0,ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_110,c_480134]) ).
tcf(c_493673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(X0,X1,X2,X3),c63(X0,ext(X0,X1,X2,X3),X4))
| ~ sameside(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_129,c_480134]) ).
tcf(c_493674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,ext(X1,X2,X3,X4),c63(X0,ext(X1,X2,X3,X4),X1))
| ~ sameside(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_130,c_480134]) ).
tcf(c_493675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,ext(X1,X0,X2,X3),s(ext(X1,X0,X2,X3),X1)),
inference(superposition,[status(thm)],[c_485940,c_480134]) ).
tcf(c_493676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,ext(X0,X1,X3,X3),X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480032,c_480134]) ).
tcf(c_493698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(ip(X2,X0,X3,X1,X4),X1,ip(X2,X0,X3,X1,X4))
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X4,X3)
| ~ s_t(X0,X1,ip(X2,X0,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480135,c_486468]) ).
tcf(c_493699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X1,ip(X2,X0,X3,X1,X4))
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X4,X3)
| ~ s_t(X0,X1,ip(X2,X0,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480135,c_480184]) ).
tcf(c_493700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ip(X2,X0,X3,X1,X4),X1)
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X4,X3)
| ~ s_t(X0,X1,ip(X2,X0,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480135,c_480114]) ).
tcf(c_493701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X2,X0,X3,X1,X4) = X1 )
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X4,X3)
| ~ s_t(X0,X1,ip(X2,X0,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480135,c_55]) ).
tcf(c_493702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X0,X1,X2,X3,X5) = X3 )
| ( ext(ip(X0,X1,X2,X3,X5),X3,X3,X4) = X4 )
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_480013]) ).
tcf(c_493703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X0,X1,X2,X3,X5) = X3 )
| ( ext(ip(X0,X1,X2,X3,X5),X3,X4,X3) = X4 )
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_480011]) ).
tcf(c_493704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(ip(X1,X2,X3,X4,X5),X4,X6,X0,ip(X1,X2,X3,X4,X5)) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X4,X6)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480135,c_479924]) ).
tcf(c_493705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(ip(X0,X1,X2,X3,X5),X3,X4,X3,X6) = X3 )
| ~ s_t(X3,X6,X4)
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_479914]) ).
tcf(c_493706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X5),X3)
| ( ip(X0,X1,X2,X3,X5) = X4 )
| ( ip(X0,X1,X2,X3,X5) = X3 )
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_238]) ).
tcf(c_493707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,ip(X0,X1,X2,X3,X5),X4)
| ( ip(X0,X1,X2,X3,X5) = xb )
| ( ip(X0,X1,X2,X3,X5) = X3 )
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_237]) ).
tcf(c_493708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X3,X4,ip(X0,X1,X2,X3,X5))
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_225]) ).
tcf(c_493709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,ip(X0,X1,X2,X3,X5),X3)
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_224]) ).
tcf(c_493710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(ip(X0,X1,X2,X3,X5),X3,X4)
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_223]) ).
tcf(c_493711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X3 = X5 )
| ~ s_r(X6,X5,X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X6)
| ~ s_t(X0,X1,X2)
| ~ s_r(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_480135,c_184]) ).
tcf(c_493712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,ip(X0,X1,X2,X3,X5),X4)
| s_t(ip(X0,X1,X2,X3,X5),X6,X4)
| ( X3 = X4 )
| ~ s_t(X6,X3,X4)
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_147]) ).
tcf(c_493713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X6,X3,ip(X0,X1,X2,X3,X5))
| ( X3 = X4 )
| ( ip(X0,X1,X2,X3,X5) = X3 )
| ~ sameside(X6,X3,X4)
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_145]) ).
tcf(c_493714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X0,X1,X6)
| sameside(X0,X1,ip(X2,X3,X4,X1,X5))
| ( X1 = X6 )
| ( X0 = X1 )
| ( ip(X2,X3,X4,X1,X5) = X1 )
| ~ s_t(X3,X1,X6)
| ~ s_t(X2,X3,X4)
| ~ s_t(X1,X5,X4)
| ~ s_col(X0,X1,ip(X2,X3,X4,X1,X5)) ),
inference(superposition,[status(thm)],[c_480135,c_143]) ).
tcf(c_493715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X5)
| ~ s_t(X0,X1,X2)
| ~ sameside(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_480135,c_133]) ).
tcf(c_493716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ip(X0,X1,X2,X3,X5),X3,X6)
| ( X3 = X6 )
| ( X3 = X4 )
| ( ip(X0,X1,X2,X3,X5) = X3 )
| ~ s_t(X6,X3,X4)
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_131]) ).
tcf(c_493717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,X3,X6)
| ( X3 = X6 )
| ( X3 = X5 )
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X6)
| ~ s_t(X0,X1,X2)
| ~ sameside(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_480135,c_125]) ).
tcf(c_493718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X5,X3)
| s_t(ip(X0,X1,X2,X3,X4),X3,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X6)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480135,c_109]) ).
tcf(c_493719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X6,X5)
| s_t(X3,X5,X6)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X6)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_480135,c_108]) ).
tcf(c_493720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X6,X5)
| s_t(ip(X0,X1,X2,X3,X4),X5,X6)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X6)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_480135,c_107]) ).
tcf(c_493721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X3,X6),X3,X5)
| ( X3 = X4 )
| ~ s_t(X3,X6,X2)
| ~ s_t(X3,X4,X5)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_81]) ).
tcf(c_493722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X3,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X5)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480135,c_80]) ).
tcf(c_493723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X3,X5),X6,X4)
| ~ s_t(X3,X6,X4)
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_79]) ).
tcf(c_493724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X3,X6),X4,X5)
| ( X3 = X4 )
| ~ s_t(X3,X6,X2)
| ~ s_t(X3,X4,X5)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_78]) ).
tcf(c_493725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X5,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X5)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480135,c_77]) ).
tcf(c_493726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X3,X5),X3,X6)
| ~ s_t(X3,X6,X4)
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_76]) ).
tcf(c_493727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X1,X2,X3,X0,X4) = X0 )
| ~ s_t(X2,X0,X5)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X4,X3)
| ~ s_t(X0,ip(X1,X2,X3,X0,X4),X5) ),
inference(superposition,[status(thm)],[c_480135,c_75]) ).
tcf(c_493728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X3,ip(X0,X1,X2,X3,X5))
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_73]) ).
tcf(c_493729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(X2,X0,X3,X1,X4) = X1 )
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X4,X3)
| ~ s_t(X0,X1,ext(X1,ip(X2,X0,X3,X1,X4),X5,X6)) ),
inference(superposition,[status(thm)],[c_480135,c_480090]) ).
tcf(c_493730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ip(X3,X0,X4,X1,X5),X1)
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X5,X4)
| ~ s_t(X0,X1,ext(X2,ip(X3,X0,X4,X1,X5),X6,X7)) ),
inference(superposition,[status(thm)],[c_480135,c_480111]) ).
tcf(c_493731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_480112]) ).
tcf(c_493732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(X0,X1,X2,X1,X3) = X1 )
| ~ s_t(X1,X3,X2)
| ~ s_t(X1,X1,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_480091]) ).
tcf(c_493733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_480113]) ).
tcf(c_493734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(X0,X1,X2,X3,X3) = X3 )
| ~ s_t(X3,X3,X2)
| ~ s_t(X1,X3,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_480092]) ).
tcf(c_493735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( ip(X5,X0,X6,X1,X7) = X1 )
| ( ext(ip(X5,X0,X6,X1,X7),X1,X3,X4) = ext(X2,X1,X3,X4) )
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X7,X6)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480135,c_480012]) ).
tcf(c_493736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(X0,X1,X2,X3,X3) = X3 )
| ~ s_t(X1,X3,X0)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_493734,c_74]) ).
tcf(c_494084,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X1,s(X0,X1),s(X0,X2))
| ~ s_t(X2,s(X0,X2),X1)
| ~ s_t(s(X0,X1),X2,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_491065,c_480055]) ).
tcf(c_494085,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(X0,X2),X2,s(X0,X1),X1)
| ~ s_t(s(X0,X2),s(X0,X1),X2)
| ~ s_t(s(X0,X1),s(X0,X2),X1) ),
inference(superposition,[status(thm)],[c_491065,c_479987]) ).
tcf(c_494086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X4,X2)
| ( s(X0,X1) = s(X0,X2) )
| ~ s_t(s(X0,X2),s(X0,X1),X3)
| ~ s_t(s(X0,X1),s(X0,X2),X4)
| ~ s_e(s(X0,X1),X3,s(X0,X2),X4)
| ~ s_e(s(X0,X1),X1,s(X0,X2),X2) ),
inference(superposition,[status(thm)],[c_491065,c_479886]) ).
tcf(c_494087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X2,X6,X4)
| ~ s_e(X5,X3,X6,X1)
| ~ s_e(X3,X2,X1,X4)
| ~ s_t(s(X0,X3),X6,X1)
| ~ s_t(s(X0,X1),X5,X3)
| ~ s_e(s(X0,X1),X2,s(X0,X3),X4) ),
inference(superposition,[status(thm)],[c_491065,c_2500]) ).
tcf(c_494088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(s(X0,X2),X1,s(X0,X1),X3)
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_491065,c_233]) ).
tcf(c_494089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(s(X1,X2),X3,s(X1,X0))
| s_col(s(X1,X2),X0,s(X1,X0))
| ( X0 = X2 )
| ~ s_col(X0,X3,X2)
| ~ s_col(s(X1,X2),X3,s(X1,X0))
| ~ s_e(X0,s(X1,X0),X2,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_491065,c_175]) ).
tcf(c_494090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X2,X1,X4)
| ~ sameside(X3,s(X0,X1),X2)
| ~ sameside(X1,s(X0,X3),X4)
| ~ s_e(s(X0,X1),X2,s(X0,X3),X4) ),
inference(superposition,[status(thm)],[c_491065,c_154]) ).
tcf(c_494091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = X3 )
| ( s(X0,X3) = X1 )
| ( s(X0,X1) = X4 )
| ~ sameside(X3,s(X0,X1),X4)
| ~ sameside(X2,s(X0,X1),X4)
| ~ s_e(s(X0,X1),X2,s(X0,X3),X1) ),
inference(superposition,[status(thm)],[c_491065,c_140]) ).
tcf(c_494092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(s(X0,X2),X1,X5,X6)
| ~ s_e(X3,X4,X5,X6)
| ~ le(s(X0,X1),X2,X3,X4) ),
inference(superposition,[status(thm)],[c_491065,c_114]) ).
tcf(c_494093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(s(X0,X1),X2,s(X0,X3),X1)
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_491065,c_113]) ).
tcf(c_494094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X0,X3),ext(ext(X1,s(X0,X3),alpha,gamma),s(X0,X3),s(X0,X1),X2),X1)
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_491065,c_91]) ).
tcf(c_494095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X0,X3),X4,s(X0,X1),X2)
| ~ s_e(X4,X1,X2,X3)
| ~ s_t(s(X0,X3),X4,X1)
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_491065,c_90]) ).
tcf(c_494096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X3,X4),X1,X2,X4)
| ~ s_t(X2,s(X3,X0),X4)
| ~ s_t(s(X3,X4),X0,X1)
| ~ s_e(X0,X1,X2,s(X3,X0)) ),
inference(superposition,[status(thm)],[c_491065,c_71]) ).
tcf(c_494098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X1,X2) = X0 )
| ( ext(X0,s(X1,X2),s(X1,X3),X2) = X3 )
| ~ s_t(X0,s(X1,X2),X3) ),
inference(superposition,[status(thm)],[c_491065,c_68]) ).
tcf(c_494099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X0,X2),X4,s(X0,X1),X3)
| ~ s_e(X1,X4,X2,X3)
| ~ s_t(s(X0,X2),X1,X4)
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_491065,c_67]) ).
tcf(c_494104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X2,X6,X4)
| ( s(X0,X1) = X3 )
| ~ s_e(X3,X5,X1,X6)
| ~ s_e(X3,X2,X1,X4)
| ~ s_t(s(X0,X3),X1,X6)
| ~ s_t(s(X0,X1),X3,X5)
| ~ s_e(s(X0,X1),X2,s(X0,X3),X4) ),
inference(superposition,[status(thm)],[c_491065,c_54]) ).
tcf(c_494105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X0,X2),X1,X3,X4)
| ~ s_e(s(X0,X1),X2,X3,X4) ),
inference(superposition,[status(thm)],[c_491065,c_50]) ).
tcf(c_494107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,s(X0,X1),X4)
| ~ s_m(X2,X5,X3)
| ~ s_m(X1,X4,X1)
| ~ s_t(X3,s(X0,X1),X1)
| ~ s_t(X2,s(X0,X1),X1)
| ~ s_e(s(X0,X1),X2,s(X0,X1),X3) ),
inference(superposition,[status(thm)],[c_491065,c_178]) ).
tcf(c_494108,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X0,X2)
| ~ s_t(X0,s(X1,X2),X2) ),
inference(superposition,[status(thm)],[c_491065,c_479989]) ).
tcf(c_494109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X4,X1)
| ( s(X0,X1) = X2 )
| ~ s_e(X2,X3,X2,X4)
| ~ s_e(X2,X1,X2,X1)
| ~ s_t(s(X0,X1),X2,X4)
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_491065,c_479928]) ).
tcf(c_494114,plain,
! [X0: $i,X1: $i] :
( s_m(X0,s(X1,X0),X0)
| ~ s_t(X0,s(X1,X0),X0) ),
inference(superposition,[status(thm)],[c_491065,c_241]) ).
tcf(c_494115,plain,
! [X0: $i,X1: $i] : s_m(X0,isomidpoint(X0,X0,s(X1,X0)),X0),
inference(superposition,[status(thm)],[c_491065,c_179]) ).
tcf(c_494120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X3,X1)
| ( s(X0,X1) = X2 )
| ~ s_e(X2,X1,X2,X1)
| ~ s_col(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_491065,c_104]) ).
tcf(c_494122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : s_e(X0,X1,s(X2,ext(X3,s(X2,X4),X0,X1)),X4),
inference(superposition,[status(thm)],[c_491065,c_479867]) ).
tcf(c_494159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X4,X1)
| ( s(X0,X1) = X2 )
| ~ s_e(X2,X3,X2,X4)
| ~ s_t(s(X0,X1),X2,X4)
| ~ s_t(s(X0,X1),X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_494109,c_61]) ).
tcf(c_494229,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,s(X2,X1),X0,s(X2,X0))
| ~ s_t(X1,X0,s(X2,X1))
| ~ s_t(X0,X1,s(X2,X0)) ),
inference(superposition,[status(thm)],[c_491066,c_479987]) ).
tcf(c_494230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,s(X1,X0),X4,s(X1,X2))
| ( X0 = X2 )
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X2,X4)
| ~ s_e(X0,X3,X2,X4)
| ~ s_e(X0,s(X1,X0),X2,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_491066,c_479886]) ).
tcf(c_494231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X2,X6,X4)
| ~ s_e(X3,X2,X1,X4)
| ~ s_t(X3,X5,s(X0,X1))
| ~ s_t(X1,X6,s(X0,X3))
| ~ s_e(X5,s(X0,X1),X6,s(X0,X3))
| ~ s_e(s(X0,X1),X2,s(X0,X3),X4) ),
inference(superposition,[status(thm)],[c_491066,c_2500]) ).
tcf(c_494232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X2,s(X1,X0),X0,X3)
| ~ s_t(X0,s(X1,X2),X3) ),
inference(superposition,[status(thm)],[c_491066,c_233]) ).
tcf(c_494233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(X2,X3,X1)
| s_col(X2,s(X0,X1),X1)
| ( s(X0,X1) = s(X0,X2) )
| ~ s_col(X2,X3,X1)
| ~ s_col(s(X0,X1),X3,s(X0,X2))
| ~ s_e(s(X0,X1),X1,s(X0,X2),X2) ),
inference(superposition,[status(thm)],[c_491066,c_175]) ).
tcf(c_494234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X0,X2),X4,s(X0,X1),X3)
| ~ s_e(X1,X4,X2,X3)
| ~ sameside(s(X0,X2),X1,X4)
| ~ sameside(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_491066,c_154]) ).
tcf(c_494235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X4 )
| ( s(X3,X2) = X1 )
| ( s(X3,X0) = X2 )
| ~ sameside(X1,X0,X4)
| ~ sameside(s(X3,X2),X0,X4)
| ~ s_e(X0,X1,X2,s(X3,X0)) ),
inference(superposition,[status(thm)],[c_491066,c_140]) ).
tcf(c_494236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X2,s(X1,X0),X5,X6)
| ~ s_e(X3,X4,X5,X6)
| ~ le(X0,s(X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_491066,c_114]) ).
tcf(c_494237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X3,s(X2,X0))
| ~ s_t(X0,X1,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_491066,c_113]) ).
tcf(c_494238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,ext(ext(s(X2,X0),X3,alpha,gamma),X3,X0,X1),s(X2,X0))
| ~ s_t(X0,X1,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_491066,c_91]) ).
tcf(c_494239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X0,X2,X3)
| ~ s_t(X4,X0,s(X1,X2))
| ~ s_t(X2,X3,s(X1,X4))
| ~ s_e(X0,s(X1,X2),X3,s(X1,X4)) ),
inference(superposition,[status(thm)],[c_491066,c_90]) ).
tcf(c_494240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X2,X3,s(X0,X4))
| ~ s_t(X4,s(X0,X1),X2)
| ~ s_t(X3,X1,s(X0,X4))
| ~ s_e(s(X0,X1),X2,X3,X1) ),
inference(superposition,[status(thm)],[c_491066,c_71]) ).
tcf(c_494242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X3,s(X2,X1)) = s(X2,X3) )
| ~ s_t(X0,X1,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_491066,c_68]) ).
tcf(c_494243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X2,X1,X4)
| ~ s_t(X3,s(X0,X1),X2)
| ~ s_t(X1,s(X0,X3),X4)
| ~ s_e(s(X0,X1),X2,s(X0,X3),X4) ),
inference(superposition,[status(thm)],[c_491066,c_67]) ).
tcf(c_494248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X2,X6,X4)
| ( s(X0,X1) = X3 )
| ~ s_e(X3,X2,X1,X4)
| ~ s_t(X3,s(X0,X1),X5)
| ~ s_t(X1,s(X0,X3),X6)
| ~ s_e(s(X0,X1),X5,s(X0,X3),X6)
| ~ s_e(s(X0,X1),X2,s(X0,X3),X4) ),
inference(superposition,[status(thm)],[c_491066,c_54]) ).
tcf(c_494249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,s(X1,X0),X3,X4)
| ~ s_e(X0,s(X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_491066,c_50]) ).
tcf(c_494251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X1,X2)
| ~ s_m(X3,X5,X4)
| ~ s_e(X1,X3,X1,X4)
| ~ s_t(X4,X1,s(X0,X1))
| ~ s_t(X3,X1,s(X0,X1))
| ~ s_m(s(X0,X1),X2,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_491066,c_178]) ).
tcf(c_494252,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,s(X2,X1),X0,s(X2,X1))
| ~ s_t(X0,X1,s(X2,X1)) ),
inference(superposition,[status(thm)],[c_491066,c_479989]) ).
tcf(c_494253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,s(X1,X2),X4,s(X1,X2))
| ( X0 = X2 )
| ~ s_t(X2,X0,X4)
| ~ s_t(X2,X0,X3)
| ~ s_e(X0,X3,X0,X4)
| ~ s_e(X0,s(X1,X2),X0,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_491066,c_479928]) ).
tcf(c_494256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,s(X0,X1),X3,s(X0,X1))
| ( X1 = X2 )
| ~ s_col(X2,X1,X3)
| ~ s_m(s(X0,X1),X2,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_491066,c_86598]) ).
tcf(c_494258,plain,
! [X0: $i,X1: $i] :
( s_m(s(X0,X1),X1,s(X0,X1))
| ~ s_t(s(X0,X1),X1,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_491066,c_241]) ).
tcf(c_494259,plain,
! [X0: $i,X1: $i] : s_m(s(X0,X1),isomidpoint(s(X0,X1),s(X0,X1),X1),s(X0,X1)),
inference(superposition,[status(thm)],[c_491066,c_179]) ).
tcf(c_494264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,s(X1,X2),X3,s(X1,X2))
| ( X0 = X2 )
| ~ s_col(X2,X0,X3)
| ~ s_e(X0,s(X1,X2),X0,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_491066,c_104]) ).
tcf(c_494267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,s(X4,X3),X2,s(X4,ext(X1,X0,X2,X3)))
| ~ s_t(X2,X3,s(X4,ext(X1,X0,X2,X3)))
| ~ s_t(X0,ext(X1,X0,X2,X3),s(X4,X3)) ),
inference(superposition,[status(thm)],[c_491066,c_479988]) ).
tcf(c_494268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,s(X1,X2),X6,s(X1,ext(X4,X0,X3,X2)))
| ( ext(X4,X0,X3,X2) = X0 )
| ~ s_t(X3,X2,X6)
| ~ s_t(X0,ext(X4,X0,X3,X2),X5)
| ~ s_e(ext(X4,X0,X3,X2),X5,X2,X6)
| ~ s_e(X0,s(X1,X2),X3,s(X1,ext(X4,X0,X3,X2))) ),
inference(superposition,[status(thm)],[c_491066,c_479887]) ).
tcf(c_494319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,s(X4,X3),X2,s(X4,X3))
| ( X0 = X3 )
| ~ s_t(X3,X0,X2)
| ~ s_t(X3,X0,X1)
| ~ s_e(X0,X1,X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_494253,c_61]) ).
tcf(c_494477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(ip(X1,X2,X3,X4,X0),X1,ip(X1,X2,X3,X4,X0))
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,ip(X1,X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480136,c_486468]) ).
tcf(c_494478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X1,ip(X1,X2,X3,X4,X0))
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,ip(X1,X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480136,c_480184]) ).
tcf(c_494479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X0),X1)
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,ip(X1,X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480136,c_480114]) ).
tcf(c_494480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X1,X2,X3,X4,X0) = X1 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,ip(X1,X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480136,c_55]) ).
tcf(c_494481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X0,X1,X2,X3,X4) = X0 )
| ( ext(ip(X0,X1,X2,X3,X4),X0,X0,X5) = X5 )
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480136,c_480013]) ).
tcf(c_494482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X0,X1,X2,X3,X4) = X0 )
| ( ext(ip(X0,X1,X2,X3,X4),X0,X5,X0) = X5 )
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480136,c_480011]) ).
tcf(c_494483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(ip(X1,X2,X3,X4,X5),X1,X6,X0,ip(X1,X2,X3,X4,X5)) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X5,X1,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480136,c_479924]) ).
tcf(c_494484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(ip(X0,X1,X2,X5,X6),X0,X4,X0,X3) = X0 )
| ~ s_t(X6,X0,X4)
| ~ s_t(X5,X6,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480136,c_479914]) ).
tcf(c_494485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X5,ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480136,c_238]) ).
tcf(c_494486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,ip(X0,X1,X2,X3,X4),X5)
| ( ip(X0,X1,X2,X3,X4) = xb )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480136,c_237]) ).
tcf(c_494487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X5,ip(X0,X1,X2,X3,X4))
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480136,c_225]) ).
tcf(c_494488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X5,ip(X0,X1,X2,X3,X4),X0)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480136,c_224]) ).
tcf(c_494489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(ip(X0,X1,X2,X3,X4),X0,X5)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480136,c_223]) ).
tcf(c_494490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X0 = X5 )
| ~ s_r(X6,X5,X0)
| ~ s_t(X4,X0,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_r(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_480136,c_184]) ).
tcf(c_494491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,ip(X0,X1,X2,X3,X4),X5)
| s_t(ip(X0,X1,X2,X3,X4),X6,X5)
| ( X0 = X5 )
| ~ s_t(X6,X0,X5)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480136,c_147]) ).
tcf(c_494492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X6,X0,ip(X0,X1,X2,X3,X4))
| ( X0 = X5 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ sameside(X6,X0,X5)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480136,c_145]) ).
tcf(c_494493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X0,X1,X6)
| sameside(X0,X1,ip(X1,X2,X3,X4,X5))
| ( X1 = X6 )
| ( X0 = X1 )
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ~ s_t(X5,X1,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_col(X0,X1,ip(X1,X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480136,c_143]) ).
tcf(c_494494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480136,c_133]) ).
tcf(c_494495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ip(X0,X1,X2,X3,X4),X0,X6)
| ( X0 = X6 )
| ( X0 = X5 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X6,X0,X5)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480136,c_131]) ).
tcf(c_494496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,X0,X6)
| ( X0 = X6 )
| ( X0 = X5 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X4,X0,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480136,c_125]) ).
tcf(c_494497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X5,X0)
| s_t(ip(X0,X1,X2,X3,X4),X0,X5)
| ~ s_t(X4,X0,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480136,c_109]) ).
tcf(c_494498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X6,X5)
| s_t(X0,X5,X6)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X4,X0,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480136,c_108]) ).
tcf(c_494499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X6,X5)
| s_t(ip(X0,X1,X2,X3,X4),X5,X6)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X4,X0,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480136,c_107]) ).
tcf(c_494500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X5,X6),X0,X4)
| ( X0 = X3 )
| ~ s_t(X6,X0,X3)
| ~ s_t(X5,X6,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480136,c_81]) ).
tcf(c_494501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X0,X6)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480136,c_80]) ).
tcf(c_494502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X5,X6),X3,X4)
| ~ s_t(X6,X0,X4)
| ~ s_t(X5,X6,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480136,c_79]) ).
tcf(c_494503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X5,X6),X3,X4)
| ( X0 = X3 )
| ~ s_t(X6,X0,X3)
| ~ s_t(X5,X6,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480136,c_78]) ).
tcf(c_494504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X5,X6)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480136,c_77]) ).
tcf(c_494505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X5,X6),X0,X3)
| ~ s_t(X6,X0,X4)
| ~ s_t(X5,X6,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480136,c_76]) ).
tcf(c_494506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X0,ip(X0,X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480136,c_75]) ).
tcf(c_494507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,ip(X0,X1,X2,X3,X4))
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480136,c_73]) ).
tcf(c_494508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(X1,X2,X3,X4,X0) = X1 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,ext(X1,ip(X1,X2,X3,X4,X0),X5,X6)) ),
inference(superposition,[status(thm)],[c_480136,c_480090]) ).
tcf(c_494509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ip(X1,X3,X4,X5,X0),X1)
| ~ s_t(X5,X0,X4)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,ext(X2,ip(X1,X3,X4,X5,X0),X6,X7)) ),
inference(superposition,[status(thm)],[c_480136,c_480111]) ).
tcf(c_494510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),X0)
| ~ s_t(X4,X0,X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480136,c_480112]) ).
tcf(c_494511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(X0,X0,X1,X2,X3) = X0 )
| ~ s_t(X3,X0,X2)
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_480136,c_480091]) ).
tcf(c_494512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),X0)
| ~ s_t(X4,X0,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480136,c_480113]) ).
tcf(c_494514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( ip(X1,X5,X6,X7,X0) = X1 )
| ( ext(ip(X1,X5,X6,X7,X0),X1,X3,X4) = ext(X2,X1,X3,X4) )
| ~ s_t(X7,X0,X6)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480136,c_480012]) ).
tcf(c_494516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(X3,X3,X2,X0,X1) = X3 )
| ~ s_t(X1,X3,X0)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_494511,c_74]) ).
tcf(c_494912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(X0,X1,X2,X3),ext(X1,ext(X0,X1,X2,X3),X4,X5))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_52,c_480157]) ).
tcf(c_494913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ext(X0,X1,X2,X3),ext(X0,X1,X2,X3))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_72,c_480157]) ).
tcf(c_494914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ext(X1,X0,X2,X3),ins(X4,X5,X0,ext(X1,X0,X2,X3)))
| ( ext(X1,X0,X2,X3) = X0 )
| ~ le(X0,ext(X1,X0,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_110,c_480157]) ).
tcf(c_494915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(X1,X0,X2,X3),c63(X0,ext(X1,X0,X2,X3),X4))
| ( ext(X1,X0,X2,X3) = X0 )
| ~ sameside(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_129,c_480157]) ).
tcf(c_494916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(X1,X2,X3,X4),c63(X0,ext(X1,X2,X3,X4),X2))
| ( ext(X1,X2,X3,X4) = X2 )
| ~ sameside(X0,ext(X1,X2,X3,X4),X2) ),
inference(superposition,[status(thm)],[c_130,c_480157]) ).
tcf(c_494917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(X3,X2,alpha,gamma),ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ( ext(ext(X3,X2,alpha,gamma),X2,X0,X1) = X2 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_231,c_480157]) ).
tcf(c_494918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ext(X0,X1,X2,X3),s(ext(X0,X1,X2,X3),X1))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_485940,c_480157]) ).
tcf(c_494919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,ext(X2,X0,X3,X3),X1)
| ( ext(X2,X0,X3,X3) = X0 )
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_480032,c_480157]) ).
tcf(c_495091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X3,ext(ip(X0,X1,X2,X3,X4),X3,X5,X6))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_480158]) ).
tcf(c_495092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_480158]) ).
tcf(c_495093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X3,ins(X5,X6,ip(X0,X1,X2,X3,X4),X3))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ le(ip(X0,X1,X2,X3,X4),X3,X5,X6) ),
inference(superposition,[status(thm)],[c_110,c_480158]) ).
tcf(c_495094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X3,c63(ip(X0,X1,X2,X3,X4),X3,X5))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_129,c_480158]) ).
tcf(c_495095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X1,c63(X0,X1,ip(X2,X3,X4,X1,X5)))
| ( ip(X2,X3,X4,X1,X5) = X1 )
| ~ s_t(X2,X3,X4)
| ~ s_t(X1,X5,X4)
| ~ sameside(X0,X1,ip(X2,X3,X4,X1,X5)) ),
inference(superposition,[status(thm)],[c_130,c_480158]) ).
tcf(c_495096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,s(X3,ip(X0,X1,X2,X3,X4)))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_480158]) ).
tcf(c_495098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,X4)
| ( ip(X0,X1,X2,X0,X3) = X0 )
| ~ s_t(X3,X0,X4)
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480136,c_480158]) ).
tcf(c_495176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X0,ext(ip(X0,X1,X2,X3,X4),X0,X5,X6))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_480159]) ).
tcf(c_495177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_480159]) ).
tcf(c_495178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X0,ins(X5,X6,ip(X0,X1,X2,X3,X4),X0))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ le(ip(X0,X1,X2,X3,X4),X0,X5,X6) ),
inference(superposition,[status(thm)],[c_110,c_480159]) ).
tcf(c_495179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X0,c63(ip(X0,X1,X2,X3,X4),X0,X5))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_129,c_480159]) ).
tcf(c_495180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X1,c63(X0,X1,ip(X1,X2,X3,X4,X5)))
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,X1,ip(X1,X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_130,c_480159]) ).
tcf(c_495181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,s(X0,ip(X0,X1,X2,X3,X4)))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_480159]) ).
tcf(c_495182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X0,X4)
| ( ip(X0,X1,X2,X0,X3) = X0 )
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_480159]) ).
tcf(c_495216,plain,
! [X0: $i,X1: $i,X2: $i] : s_t(X0,X0,ext(X0,X0,X1,X2)),
inference(superposition,[status(thm)],[c_52,c_480181]) ).
tcf(c_495217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ip(X6,X1,X5,ext(X0,X1,X2,X3),X4),ext(X0,X1,X2,X3))
| ~ s_t(X6,X1,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_56,c_480181]) ).
tcf(c_495218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ip(ext(X0,X1,X2,X3),X4,X5,X6,X1),ext(X0,X1,X2,X3))
| ~ s_t(X6,X1,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_57,c_480181]) ).
tcf(c_495219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,ext(X0,X1,X2,X3),ext(X0,X1,X2,X3)),
inference(superposition,[status(thm)],[c_72,c_480181]) ).
tcf(c_495221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,crossbar(X0,X1,ext(X2,X3,X4,X5),X6,X7,X3),ext(X2,X3,X4,X5))
| ~ s_t(X0,X3,X6)
| ~ s_t(X6,X7,ext(X2,X3,X4,X5))
| ~ s_t(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_87,c_480181]) ).
tcf(c_495222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,crossbar(X6,X2,X5,X0,ext(X1,X2,X3,X4),X7),ext(X1,X2,X3,X4))
| ~ s_t(X6,X7,X0)
| ~ s_t(X6,X2,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_88,c_480181]) ).
tcf(c_495223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ext(ext(ext(X3,X2,X4,X5),X2,alpha,gamma),X2,X0,X1),ext(X3,X2,X4,X5))
| ~ le(X0,X1,X2,ext(X3,X2,X4,X5)) ),
inference(superposition,[status(thm)],[c_231,c_480181]) ).
tcf(c_495224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X1,ext(X2,ip(X3,X0,X4,X1,X5),X6,X7))
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X5,X4)
| ~ s_t(X0,X1,ext(X2,ip(X3,X0,X4,X1,X5),X6,X7)) ),
inference(superposition,[status(thm)],[c_480135,c_480181]) ).
tcf(c_495225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ip(X0,ext(X1,X2,X3,X4),X5,X2,X6),ext(X1,X2,X3,X4))
| ~ s_t(X2,X6,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480074,c_480181]) ).
tcf(c_495226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X1,ext(X2,ip(X1,X3,X4,X5,X0),X6,X7))
| ~ s_t(X5,X0,X4)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,ext(X2,ip(X1,X3,X4,X5,X0),X6,X7)) ),
inference(superposition,[status(thm)],[c_480136,c_480181]) ).
tcf(c_495227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ip(X2,X6,X5,X0,ext(X1,X2,X3,X4)),ext(X1,X2,X3,X4))
| ~ s_t(X2,X6,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480075,c_480181]) ).
tcf(c_495228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X1,ext(X2,X0,X3,X3))
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_480032,c_480181]) ).
tcf(c_495312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ip(X0,ip(X1,X2,X3,X4,X5),X6,X4,X7),X4)
| ~ s_t(X4,X7,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_56,c_480182]) ).
tcf(c_495313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ip(X4,X7,X6,X0,ip(X1,X2,X3,X4,X5)),X4)
| ~ s_t(X4,X7,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_57,c_480182]) ).
tcf(c_495314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_480182]) ).
tcf(c_495316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,crossbar(X0,X7,X4,X6,X8,ip(X1,X2,X3,X4,X5)),X4)
| ~ s_t(X6,X8,X4)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X7,X4)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_87,c_480182]) ).
tcf(c_495317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,crossbar(X0,ip(X1,X2,X3,X4,X5),X6,X8,X4,X7),X4)
| ~ s_t(X8,X4,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X7,X8)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_88,c_480182]) ).
tcf(c_495318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ext(ext(X5,ip(X2,X3,X4,X5,X6),alpha,gamma),ip(X2,X3,X4,X5,X6),X0,X1),X5)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,ip(X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_231,c_480182]) ).
tcf(c_495320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ip(X7,X3,X6,ip(X0,X1,X2,X3,X4),X5),X3)
| ~ s_t(X7,X3,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480074,c_480182]) ).
tcf(c_495321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,X3)
| ~ s_t(X4,X0,X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480136,c_480182]) ).
tcf(c_495322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ip(ip(X0,X1,X2,X3,X4),X5,X6,X7,X3),X3)
| ~ s_t(X7,X3,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480075,c_480182]) ).
tcf(c_495442,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,s(X1,X0),s(X1,X2),X2)
| ~ s_t(s(X1,X2),X0,X2)
| ~ s_t(X0,s(X1,X2),s(X1,X0)) ),
inference(superposition,[status(thm)],[c_491507,c_479987]) ).
tcf(c_495443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,s(X1,X0),X4,X2)
| ( s(X1,X2) = X0 )
| ~ s_t(X0,s(X1,X2),X4)
| ~ s_t(s(X1,X2),X0,X3)
| ~ s_e(X0,X3,s(X1,X2),X4)
| ~ s_e(X0,s(X1,X0),s(X1,X2),X2) ),
inference(superposition,[status(thm)],[c_491507,c_479886]) ).
tcf(c_495444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X2,X4,X6,X5)
| ~ s_t(X3,X6,X1)
| ~ s_e(X2,s(X0,X3),X6,X1)
| ~ s_e(s(X0,X3),X4,X1,X5)
| ~ s_e(s(X0,X1),X4,X3,X5)
| ~ s_t(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_491507,c_2500]) ).
tcf(c_495445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(s(X3,X1),s(X3,X0),X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_491507,c_233]) ).
tcf(c_495446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(s(X0,X2),X3,X1)
| s_col(s(X0,X2),s(X0,X1),X1)
| ( s(X0,X1) = X2 )
| ~ s_col(s(X0,X2),X3,X1)
| ~ s_col(s(X0,X1),X3,X2)
| ~ s_e(s(X0,X1),X1,X2,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_491507,c_175]) ).
tcf(c_495447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X0,X1),X3,X2,X4)
| ~ sameside(X2,X1,X4)
| ~ s_e(s(X0,X2),X3,X1,X4)
| ~ sameside(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_491507,c_154]) ).
tcf(c_495448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X2 )
| ( s(X0,X2) = X3 )
| ( s(X0,X1) = X4 )
| ~ sameside(X4,s(X0,X2),X3)
| ~ s_e(s(X0,X2),X4,X1,X2)
| ~ sameside(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_491507,c_140]) ).
tcf(c_495449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X2,X1,X5,X6)
| ~ s_e(X3,X4,X5,X6)
| ~ le(s(X0,X1),s(X0,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_491507,c_114]) ).
tcf(c_495450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(s(X0,X1),X2,X3,X1)
| ~ s_t(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_491507,c_113]) ).
tcf(c_495451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,ext(ext(X1,X3,alpha,gamma),X3,s(X0,X1),X2),X1)
| ~ s_t(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_491507,c_91]) ).
tcf(c_495452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X0,X1),X2,X3,X4)
| ~ s_t(X3,X4,X1)
| ~ s_e(X2,s(X0,X3),X4,X1)
| ~ s_t(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_491507,c_90]) ).
tcf(c_495453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X0,X1),X3,X4,X1)
| ~ s_t(X4,X2,X1)
| ~ s_e(s(X0,X2),X3,X4,X2)
| ~ s_t(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_491507,c_71]) ).
tcf(c_495455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X1,X2) = X0 )
| ( ext(X0,s(X1,X2),X3,X2) = s(X1,X3) )
| ~ s_t(X0,s(X1,X2),s(X1,X3)) ),
inference(superposition,[status(thm)],[c_491507,c_68]) ).
tcf(c_495456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X0,X1),X3,X2,X4)
| ~ s_t(X2,X1,X4)
| ~ s_e(s(X0,X2),X3,X1,X4)
| ~ s_t(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_491507,c_67]) ).
tcf(c_495461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X3,X4,X6,X5)
| ( s(X0,X1) = s(X0,X2) )
| ~ s_t(X2,X1,X6)
| ~ s_e(s(X0,X2),X4,X1,X5)
| ~ s_e(s(X0,X2),X3,X1,X6)
| ~ s_e(s(X0,X1),X4,X2,X5)
| ~ s_t(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_491507,c_54]) ).
tcf(c_495464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,s(X1,X2),X4)
| ~ s_m(X0,X5,X3)
| ~ s_t(X3,s(X1,X2),X2)
| ~ s_m(s(X1,s(X1,X2)),X4,X2)
| ~ s_e(s(X1,X2),X0,s(X1,X2),X3)
| ~ s_t(X0,s(X1,X2),s(X1,s(X1,X2))) ),
inference(superposition,[status(thm)],[c_491507,c_178]) ).
tcf(c_495465,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,s(X1,s(X1,X2)),X0,X2)
| ~ s_t(X0,s(X1,X2),X2)
| ~ s_t(X0,s(X1,X2),s(X1,s(X1,X2))) ),
inference(superposition,[status(thm)],[c_491507,c_479989]) ).
tcf(c_495466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,s(X1,s(X1,X2)),X4,X2)
| ( s(X1,X2) = X0 )
| ~ s_e(X0,X3,X0,X4)
| ~ s_t(s(X1,X2),X0,X4)
| ~ s_t(s(X1,X2),X0,X3)
| ~ s_e(X0,s(X1,s(X1,X2)),X0,X2) ),
inference(superposition,[status(thm)],[c_491507,c_479928]) ).
tcf(c_495467,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X1,s(X1,X2)) = X2 )
| ~ s_m(X2,X0,s(X1,s(X1,X2)))
| ~ s_t(X0,s(X1,s(X1,X2)),s(X1,X2)) ),
inference(superposition,[status(thm)],[c_491507,c_297643]) ).
tcf(c_495468,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X1,s(X1,X2)) = X2 )
| ~ s_m(s(X1,s(X1,X2)),X0,X2)
| ~ s_t(X0,s(X1,s(X1,X2)),s(X1,X2)) ),
inference(superposition,[status(thm)],[c_491507,c_297638]) ).
tcf(c_495469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,s(X2,s(X2,X0)),X3,X0)
| ( s(X2,X0) = X1 )
| ~ s_col(X1,s(X2,X0),X3)
| ~ s_m(X0,X1,s(X2,s(X2,X0))) ),
inference(superposition,[status(thm)],[c_491507,c_86598]) ).
tcf(c_495470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,s(X0,s(X0,X1)),X3,X1)
| ( s(X0,X1) = X2 )
| ~ s_col(X2,s(X0,X1),X3)
| ~ s_m(s(X0,s(X0,X1)),X2,X1) ),
inference(superposition,[status(thm)],[c_491507,c_86593]) ).
tcf(c_495471,plain,
! [X0: $i,X1: $i] :
( s_m(s(X0,s(X0,X1)),s(X0,X1),X1)
| ~ s_t(s(X0,s(X0,X1)),s(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_491507,c_241]) ).
tcf(c_495472,plain,
! [X0: $i,X1: $i] : s_m(s(X0,s(X0,X1)),isomidpoint(s(X0,s(X0,X1)),X1,s(X0,X1)),X1),
inference(superposition,[status(thm)],[c_491507,c_179]) ).
tcf(c_495477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,s(X1,s(X1,X2)),X3,X2)
| ( s(X1,X2) = X0 )
| ~ s_col(s(X1,X2),X0,X3)
| ~ s_e(X0,s(X1,s(X1,X2)),X0,X2) ),
inference(superposition,[status(thm)],[c_491507,c_104]) ).
tcf(c_495655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,ip(X0,ip(X1,X2,X3,X4,X5),X6,X1,X7),X1)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X7,X6)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_56,c_480183]) ).
tcf(c_495656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,ip(X1,X7,X6,X0,ip(X1,X2,X3,X4,X5)),X1)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X7,X6)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_57,c_480183]) ).
tcf(c_495657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_480183]) ).
tcf(c_495659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X5,crossbar(X0,X7,X1,X6,X8,ip(X1,X2,X3,X4,X5)),X1)
| ~ s_t(X6,X8,X1)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X7,X1)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_87,c_480183]) ).
tcf(c_495660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X5,crossbar(X0,ip(X1,X2,X3,X4,X5),X6,X8,X1,X7),X1)
| ~ s_t(X8,X1,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X7,X8)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_88,c_480183]) ).
tcf(c_495661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,ext(ext(X2,ip(X2,X3,X4,X5,X6),alpha,gamma),ip(X2,X3,X4,X5,X6),X0,X1),X2)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,ip(X2,X3,X4,X5,X6),X2) ),
inference(superposition,[status(thm)],[c_231,c_480183]) ).
tcf(c_495662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X3,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_480183]) ).
tcf(c_495663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,ip(X7,X0,X6,ip(X0,X1,X2,X3,X4),X5),X0)
| ~ s_t(X7,X0,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480074,c_480183]) ).
tcf(c_495665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,ip(ip(X0,X1,X2,X3,X4),X5,X6,X7,X0),X0)
| ~ s_t(X7,X0,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480075,c_480183]) ).
tcf(c_495722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_t(X0,X1,ext(X0,ext(X0,X1,X2,X3),X4,X5)),
inference(superposition,[status(thm)],[c_52,c_480204]) ).
tcf(c_495724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,ins(X4,X5,X0,ext(X0,X1,X2,X3)))
| ~ le(X0,ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_110,c_480204]) ).
tcf(c_495725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X1,c63(X0,ext(X0,X1,X2,X3),X4))
| ~ sameside(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_129,c_480204]) ).
tcf(c_495726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,c63(X0,ext(X1,X2,X3,X4),X1))
| ~ sameside(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_130,c_480204]) ).
tcf(c_495727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,s(ext(X0,X1,X2,X3),X0)),
inference(superposition,[status(thm)],[c_485940,c_480204]) ).
tcf(c_495777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(X1,ip(X0,X1,X2,X3,X4),X1)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_486468]) ).
tcf(c_495778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ip(X0,X1,X2,X3,X4),X1)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_480184]) ).
tcf(c_495779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X1,ip(X0,X1,X2,X3,X4))
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_480114]) ).
tcf(c_495780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_55]) ).
tcf(c_495781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X0,X1,X2,X3,X5) = X1 )
| ( ext(X1,ip(X0,X1,X2,X3,X5),ip(X0,X1,X2,X3,X5),X4) = X4 )
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_480013]) ).
tcf(c_495782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X0,X1,X2,X3,X5) = X1 )
| ( ext(X1,ip(X0,X1,X2,X3,X5),X4,ip(X0,X1,X2,X3,X5)) = X4 )
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_480011]) ).
tcf(c_495783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(X1,ip(X0,X1,X2,X3,X5),X4,X6,X1) = X1 )
| ~ s_t(X6,X1,X4)
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_479924]) ).
tcf(c_495784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(X1,ip(X0,X1,X2,X3,X4),X6,ip(X0,X1,X2,X3,X4),X5) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X6)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480205,c_479914]) ).
tcf(c_495785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X4,X1,ip(X0,X1,X2,X3,X5))
| ( X1 = X4 )
| ( ip(X0,X1,X2,X3,X5) = X1 )
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_238]) ).
tcf(c_495786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ip(X0,X1,X2,X3,X5),X1,X4)
| ( X1 = xb )
| ( ip(X0,X1,X2,X3,X5) = X1 )
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_237]) ).
tcf(c_495787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(ip(X0,X1,X2,X3,X5),X4,X1)
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_225]) ).
tcf(c_495788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X1,ip(X0,X1,X2,X3,X5))
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_224]) ).
tcf(c_495789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X1,ip(X0,X1,X2,X3,X5),X4)
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_223]) ).
tcf(c_495790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(X2,X0,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X4,X6)
| ~ s_r(X6,X1,ip(X2,X0,X3,X4,X5))
| ~ s_r(X0,X1,ip(X2,X0,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480205,c_184]) ).
tcf(c_495791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X0,X6)
| s_t(X0,X2,X6)
| ( ip(X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X4,X6)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480205,c_147]) ).
tcf(c_495792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,ip(X1,X2,X3,X4,X5),X2)
| ( ip(X1,X2,X3,X4,X5) = X6 )
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X4,X6)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480205,c_145]) ).
tcf(c_495793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X0,ip(X1,X2,X3,X4,X5),X6)
| sameside(X0,ip(X1,X2,X3,X4,X5),X2)
| ( ip(X1,X2,X3,X4,X5) = X6 )
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X4,X6)
| ~ s_t(X1,X2,X3)
| ~ s_col(X0,ip(X1,X2,X3,X4,X5),X2) ),
inference(superposition,[status(thm)],[c_480205,c_143]) ).
tcf(c_495794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X3,X5)
| ~ sameside(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480205,c_133]) ).
tcf(c_495795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X2,ip(X1,X2,X3,X4,X5),X0)
| ( ip(X1,X2,X3,X4,X5) = X6 )
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X4,X6)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480205,c_131]) ).
tcf(c_495796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,ip(X1,X0,X2,X3,X4),X6)
| ( ip(X1,X0,X2,X3,X4) = X6 )
| ( ip(X1,X0,X2,X3,X4) = X5 )
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X3,X6)
| ~ sameside(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480205,c_125]) ).
tcf(c_495797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X5,ip(X0,X1,X2,X3,X6))
| s_t(X1,ip(X0,X1,X2,X3,X6),X5)
| ~ s_t(X3,X6,X2)
| ~ s_t(X1,X5,X4)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_109]) ).
tcf(c_495798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X1,X0,X2,X3,X4),X6,X5)
| s_t(ip(X1,X0,X2,X3,X4),X5,X6)
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X3,X6)
| ~ s_t(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480205,c_108]) ).
tcf(c_495799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X6,X5)
| s_t(X0,X5,X6)
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X3,X6)
| ~ s_t(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480205,c_107]) ).
tcf(c_495800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),X6)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X5)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480205,c_81]) ).
tcf(c_495801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X6),X5)
| ~ s_t(X3,X6,X2)
| ~ s_t(X1,X4,X5)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_80]) ).
tcf(c_495802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X5,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X6)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480205,c_79]) ).
tcf(c_495803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X5,X6)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X5)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480205,c_78]) ).
tcf(c_495804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X3,X6),X4,X5)
| ~ s_t(X3,X6,X2)
| ~ s_t(X1,X4,X5)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_77]) ).
tcf(c_495805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X6)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480205,c_76]) ).
tcf(c_495806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X5)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X1,X5) ),
inference(superposition,[status(thm)],[c_480205,c_75]) ).
tcf(c_495807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X5),X1)
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_73]) ).
tcf(c_495808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(X2,X0,X3,X1,X4) = X0 )
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X4,X3)
| ~ s_t(X0,X1,ext(ip(X2,X0,X3,X1,X4),X0,X5,X6)) ),
inference(superposition,[status(thm)],[c_480205,c_480090]) ).
tcf(c_495809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ip(X5,X0,X6,X1,X7),ext(X2,X0,X3,X4))
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X7,X6)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480205,c_480181]) ).
tcf(c_495810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X0,ip(X5,X0,X6,X1,X7))
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X7,X6)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480205,c_480111]) ).
tcf(c_495811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ip(X6,ip(X0,X1,X2,X3,X4),X7,X5,X8),X3)
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_480205,c_480182]) ).
tcf(c_495812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),ip(X6,ip(X0,X1,X2,X3,X4),X7,X5,X8))
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_480205,c_480112]) ).
tcf(c_495813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,ip(X6,ip(X0,X1,X2,X3,X4),X7,X5,X8),X0)
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_480205,c_480183]) ).
tcf(c_495814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),ip(X6,ip(X0,X1,X2,X3,X4),X7,X5,X8))
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_480205,c_480113]) ).
tcf(c_495815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( ip(X3,X0,X4,X1,X5) = X0 )
| ( ext(X0,ip(X3,X0,X4,X1,X5),X6,X7) = ext(X2,ip(X3,X0,X4,X1,X5),X6,X7) )
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X5,X4)
| ~ s_t(X0,X1,ext(X2,ip(X3,X0,X4,X1,X5),X6,X7)) ),
inference(superposition,[status(thm)],[c_480205,c_480012]) ).
tcf(c_496171,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X2,X0,X1)
| ~ s_t(X1,X2,X0)
| ~ le(X0,X1,X1,X2) ),
inference(superposition,[status(thm)],[c_480889,c_117]) ).
tcf(c_496172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X1,X4,X2,X3)
| ~ s_t(X1,X4,X0)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480889,c_116]) ).
tcf(c_496173,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(X0,X1,ext(ext(X0,X2,alpha,gamma),X2,X0,X1),X0) = ins(X2,X0,X0,X1) )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480889,c_112]) ).
tcf(c_496192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(X4,ip(X0,X1,X2,X3,X4),X4)
| ~ s_t(X4,X0,X4)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_486468]) ).
tcf(c_496193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ip(X0,X1,X2,X3,X4),X4)
| ~ s_t(X4,X0,X4)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_480184]) ).
tcf(c_496194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X4,ip(X0,X1,X2,X3,X4))
| ~ s_t(X4,X0,X4)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_480114]) ).
tcf(c_496195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X4,X0,X4)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_55]) ).
tcf(c_496196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ext(X4,ip(X0,X1,X2,X3,X4),ip(X0,X1,X2,X3,X4),X5) = X5 )
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_480013]) ).
tcf(c_496197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ext(X4,ip(X0,X1,X2,X3,X4),X5,ip(X0,X1,X2,X3,X4)) = X5 )
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_480011]) ).
tcf(c_496198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(X4,ip(X0,X1,X2,X3,X4),X5,X6,X4) = X4 )
| ~ s_t(X6,X4,X5)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_479924]) ).
tcf(c_496199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(X4,ip(X0,X1,X2,X3,X4),X6,ip(X0,X1,X2,X3,X4),X5) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X4,X0,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480206,c_479914]) ).
tcf(c_496200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X5,X4,ip(X0,X1,X2,X3,X4))
| ( X4 = X5 )
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_238]) ).
tcf(c_496201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ip(X0,X1,X2,X3,X4),X4,X5)
| ( X4 = xb )
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_237]) ).
tcf(c_496202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(ip(X0,X1,X2,X3,X4),X5,X4)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_225]) ).
tcf(c_496203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X5,X4,ip(X0,X1,X2,X3,X4))
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_224]) ).
tcf(c_496204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,ip(X0,X1,X2,X3,X4),X5)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_223]) ).
tcf(c_496205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(X2,X3,X4,X5,X0) = X1 )
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X2,X6)
| ~ s_r(X6,X1,ip(X2,X3,X4,X5,X0))
| ~ s_r(X0,X1,ip(X2,X3,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_480206,c_184]) ).
tcf(c_496206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,X0,X6)
| s_t(X0,X5,X6)
| ( ip(X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X5,X1,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480206,c_147]) ).
tcf(c_496207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,ip(X1,X2,X3,X4,X5),X5)
| ( ip(X1,X2,X3,X4,X5) = X6 )
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ~ s_t(X5,X1,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480206,c_145]) ).
tcf(c_496208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X0,ip(X1,X2,X3,X4,X5),X6)
| sameside(X0,ip(X1,X2,X3,X4,X5),X5)
| ( ip(X1,X2,X3,X4,X5) = X6 )
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X5,X1,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_col(X0,ip(X1,X2,X3,X4,X5),X5) ),
inference(superposition,[status(thm)],[c_480206,c_143]) ).
tcf(c_496209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X5)
| ~ sameside(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_480206,c_133]) ).
tcf(c_496210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X5,ip(X1,X2,X3,X4,X5),X0)
| ( ip(X1,X2,X3,X4,X5) = X6 )
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X5,X1,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480206,c_131]) ).
tcf(c_496211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X0),X6)
| ( ip(X1,X2,X3,X4,X0) = X6 )
| ( ip(X1,X2,X3,X4,X0) = X5 )
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X6)
| ~ sameside(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_480206,c_125]) ).
tcf(c_496212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X6,ip(X0,X1,X2,X3,X4))
| s_t(X4,ip(X0,X1,X2,X3,X4),X6)
| ~ s_t(X4,X6,X5)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_109]) ).
tcf(c_496213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X1,X2,X3,X4,X0),X6,X5)
| s_t(ip(X1,X2,X3,X4,X0),X5,X6)
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X6)
| ~ s_t(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_480206,c_108]) ).
tcf(c_496214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X6,X5)
| s_t(X0,X5,X6)
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X6)
| ~ s_t(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_480206,c_107]) ).
tcf(c_496215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),X6)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480206,c_81]) ).
tcf(c_496216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_80]) ).
tcf(c_496217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X5,X6)
| ~ s_t(X4,X0,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480206,c_79]) ).
tcf(c_496218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X5,X6)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480206,c_78]) ).
tcf(c_496219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X5,X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_77]) ).
tcf(c_496220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),X5)
| ~ s_t(X4,X0,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480206,c_76]) ).
tcf(c_496221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X4,X5) ),
inference(superposition,[status(thm)],[c_480206,c_75]) ).
tcf(c_496222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ip(X0,X1,X2,X3,X4),X4)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_73]) ).
tcf(c_496223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,ext(ip(X1,X2,X3,X4,X0),X0,X5,X6)) ),
inference(superposition,[status(thm)],[c_480206,c_480090]) ).
tcf(c_496224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ip(X1,X5,X6,X7,X0),ext(X2,X0,X3,X4))
| ~ s_t(X7,X0,X6)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480206,c_480181]) ).
tcf(c_496225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X0,ip(X1,X5,X6,X7,X0))
| ~ s_t(X7,X0,X6)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480206,c_480111]) ).
tcf(c_496226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ip(X5,X8,X7,X6,ip(X0,X1,X2,X3,X4)),X3)
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_480206,c_480182]) ).
tcf(c_496227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),ip(X5,X8,X7,X6,ip(X0,X1,X2,X3,X4)))
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_480206,c_480112]) ).
tcf(c_496228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,ip(X5,X8,X7,X6,ip(X0,X1,X2,X3,X4)),X0)
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_480206,c_480183]) ).
tcf(c_496229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),ip(X5,X8,X7,X6,ip(X0,X1,X2,X3,X4)))
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_480206,c_480113]) ).
tcf(c_496230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( ip(X1,X3,X4,X5,X0) = X0 )
| ( ext(X0,ip(X1,X3,X4,X5,X0),X6,X7) = ext(X2,ip(X1,X3,X4,X5,X0),X6,X7) )
| ~ s_t(X5,X0,X4)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,ext(X2,ip(X1,X3,X4,X5,X0),X6,X7)) ),
inference(superposition,[status(thm)],[c_480206,c_480012]) ).
tcf(c_496628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,ext(X1,ext(X0,X1,X2,X3),X4,X5))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_52,c_480227]) ).
tcf(c_496630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X0,ins(X4,X5,X0,ext(X1,X0,X2,X3)))
| ( ext(X1,X0,X2,X3) = X0 )
| ~ le(X0,ext(X1,X0,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_110,c_480227]) ).
tcf(c_496631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,c63(X0,ext(X1,X0,X2,X3),X4))
| ( ext(X1,X0,X2,X3) = X0 )
| ~ sameside(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_129,c_480227]) ).
tcf(c_496632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,c63(X0,ext(X1,X2,X3,X4),X2))
| ( ext(X1,X2,X3,X4) = X2 )
| ~ sameside(X0,ext(X1,X2,X3,X4),X2) ),
inference(superposition,[status(thm)],[c_130,c_480227]) ).
tcf(c_496633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(X3,X2,alpha,gamma),X2,X3)
| ( ext(ext(X3,X2,alpha,gamma),X2,X0,X1) = X2 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_231,c_480227]) ).
tcf(c_496634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,s(ext(X0,X1,X2,X3),X1))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_485940,c_480227]) ).
tcf(c_496635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X0,X1)
| ( ext(X2,X0,X3,X3) = X0 )
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_480032,c_480227]) ).
tcf(c_496663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X3,X5,X6))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_480228]) ).
tcf(c_496664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_480228]) ).
tcf(c_496665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),ins(X5,X6,ip(X0,X1,X2,X3,X4),X3))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ le(ip(X0,X1,X2,X3,X4),X3,X5,X6) ),
inference(superposition,[status(thm)],[c_110,c_480228]) ).
tcf(c_496666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),c63(ip(X0,X1,X2,X3,X4),X3,X5))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_129,c_480228]) ).
tcf(c_496667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ip(X2,X3,X4,X1,X5),c63(X0,X1,ip(X2,X3,X4,X1,X5)))
| ( ip(X2,X3,X4,X1,X5) = X1 )
| ~ s_t(X2,X3,X4)
| ~ s_t(X1,X5,X4)
| ~ sameside(X0,X1,ip(X2,X3,X4,X1,X5)) ),
inference(superposition,[status(thm)],[c_130,c_480228]) ).
tcf(c_496668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),s(X3,ip(X0,X1,X2,X3,X4)))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_480228]) ).
tcf(c_496669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X5),X4)
| ( ip(X0,X1,X2,X3,X5) = X3 )
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_480228]) ).
tcf(c_496670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ip(X0,X1,X2,X0,X3),X4)
| ( ip(X0,X1,X2,X0,X3) = X0 )
| ~ s_t(X3,X0,X4)
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480136,c_480228]) ).
tcf(c_496798,plain,
! [X0: $i,X1: $i] : le(X0,X0,X1,X1),
inference(superposition,[status(thm)],[c_72,c_480892]) ).
tcf(c_496800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X2,crossbar(X0,X1,X2,X3,X4,X2),X5,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_480892]) ).
tcf(c_496801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,crossbar(X0,X1,X2,X4,X1,X3),X5,X5)
| ~ s_t(X4,X1,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_480892]) ).
tcf(c_496802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(s(X2,X0),s(X2,X1),X3,X3)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_167,c_480892]) ).
tcf(c_496803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X2,ext(ext(X2,X2,alpha,gamma),X2,X0,X1),X3,X3)
| ~ le(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_231,c_480892]) ).
tcf(c_496804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,ip(X0,X1,X2,X3,X4),X5,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_480892]) ).
tcf(c_496805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(ip(X2,X0,X3,X1,X4),X1,X5,X5)
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X4,X3)
| ~ s_t(X0,X1,ip(X2,X0,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480135,c_480892]) ).
tcf(c_496806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X1,ip(X0,X1,X2,X1,X3),X4,X4)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480074,c_480892]) ).
tcf(c_496807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X4,ip(X0,X1,X2,X3,X4),X5,X5)
| ~ s_t(X4,X0,X4)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_480892]) ).
tcf(c_496808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(ip(X1,X2,X3,X4,X0),X1,X5,X5)
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,ip(X1,X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480136,c_480892]) ).
tcf(c_496809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,ip(X0,X1,X2,X3,X0),X4,X4)
| ~ s_t(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480075,c_480892]) ).
tcf(c_496849,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X0,X0,X1)
| ~ s_t(X0,X2,X1)
| ~ le(X0,X1,X2,X0) ),
inference(superposition,[status(thm)],[c_485317,c_117]) ).
tcf(c_496850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X4,X0,X2,X3)
| ~ s_t(X0,X4,X1)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_485317,c_116]) ).
tcf(c_496851,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(X1,X0,ext(ext(X2,X0,alpha,gamma),X0,X1,X0),X2) = ins(X0,X2,X1,X0) )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485317,c_112]) ).
tcf(c_496872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X0,X5,X6))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_480229]) ).
tcf(c_496873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_480229]) ).
tcf(c_496874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),ins(X5,X6,ip(X0,X1,X2,X3,X4),X0))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ le(ip(X0,X1,X2,X3,X4),X0,X5,X6) ),
inference(superposition,[status(thm)],[c_110,c_480229]) ).
tcf(c_496875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),c63(ip(X0,X1,X2,X3,X4),X0,X5))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_129,c_480229]) ).
tcf(c_496876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X5),c63(X0,X1,ip(X1,X2,X3,X4,X5)))
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,X1,ip(X1,X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_130,c_480229]) ).
tcf(c_496877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),s(X0,ip(X0,X1,X2,X3,X4)))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_480229]) ).
tcf(c_496878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,ip(X0,X1,X2,X0,X3),X4)
| ( ip(X0,X1,X2,X0,X3) = X0 )
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480135,c_480229]) ).
tcf(c_496879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),X5)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480136,c_480229]) ).
tcf(c_496925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X0,X1,ext(X0,X1,X2,X3),X4,X5,ext(X0,X1,X2,X3)) = ext(X0,X1,X2,X3) )
| ~ s_t(X4,X5,ext(X0,X1,X2,X3))
| ~ s_t(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_52,c_480254]) ).
tcf(c_496926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X1,ip(X0,X1,X2,X3,X5),X3,X4,X6,X3) = X3 )
| ~ s_t(X4,X6,X3)
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_56,c_480254]) ).
tcf(c_496927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X4,ip(X0,X1,X2,X3,X4),X0,X5,X6,X0) = X0 )
| ~ s_t(X5,X6,X0)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_480254]) ).
tcf(c_496928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(X0,X1,X1,X2,X3,X1) = X1 )
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_480254]) ).
tcf(c_496929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(X0,X0,X1,X2,X3,X1) = X1 )
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_74,c_480254]) ).
tcf(c_496930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(X3,crossbar(X0,X1,X2,X4,X6,X3),X2,X5,X7,X2) = X2 )
| ~ s_t(X5,X7,X2)
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_480254]) ).
tcf(c_496931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(X1,crossbar(X0,X1,X2,X4,X5,X3),X5,X6,X7,X5) = X5 )
| ~ s_t(X6,X7,X5)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_480254]) ).
tcf(c_496932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X0,X3,ins(X1,X2,X0,X3),X4,X5,ins(X1,X2,X0,X3)) = ins(X1,X2,X0,X3) )
| ~ le(X0,X3,X1,X2)
| ~ s_t(X4,X5,ins(X1,X2,X0,X3))
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_110,c_480254]) ).
tcf(c_496933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(X0,X1,c63(X0,X1,X2),X3,X4,c63(X0,X1,X2)) = c63(X0,X1,X2) )
| ~ sameside(X0,X1,X2)
| ~ s_t(X3,X4,c63(X0,X1,X2))
| ~ s_t(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_129,c_480254]) ).
tcf(c_496934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(X0,X2,c63(X1,X2,X0),X3,X4,c63(X1,X2,X0)) = c63(X1,X2,X0) )
| ~ sameside(X1,X2,X0)
| ~ s_t(X3,X4,c63(X1,X2,X0))
| ~ s_t(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_130,c_480254]) ).
tcf(c_496935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(s(X0,X1),s(X0,X5),s(X0,X2),X3,X4,s(X0,X2)) = s(X0,X2) )
| ~ s_t(X1,X5,X2)
| ~ s_t(X3,X4,s(X0,X2))
| ~ s_t(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_167,c_480254]) ).
tcf(c_496936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3,X4,X5,X3) = X3 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_231,c_480254]) ).
tcf(c_496937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(ext(X0,X1,X2,X3),X1,X0,X4,X5,X0) = X0 )
| ~ s_t(X4,X5,X0)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_480073,c_480254]) ).
tcf(c_496938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(X0,X1,s(X1,X0),X2,X3,s(X1,X0)) = s(X1,X0) )
| ~ s_t(X2,X3,s(X1,X0))
| ~ s_t(X0,s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_485940,c_480254]) ).
tcf(c_496939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(s(X0,X1),X0,X1,X2,X3,X1) = X1 )
| ~ s_t(X2,X3,X1)
| ~ s_t(s(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_485941,c_480254]) ).
tcf(c_496940,plain,
! [X0: $i,X1: $i] :
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| ( crossbar(sK2,sK3,sK1,X0,X1,sK1) = sK1 )
| ~ s_t(sK2,sK1,X0)
| ~ s_t(X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_30027,c_480254]) ).
tcf(c_496941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(X1,ip(X0,X1,X2,X3,X6),X4,X5,X7,X4) = X4 )
| ~ s_t(X5,X7,X4)
| ~ s_t(X3,X6,X2)
| ~ s_t(X1,X4,X5)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_480254]) ).
tcf(c_496942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(ip(X0,X1,X2,X3,X4),X3,X5,X6,X7,X5) = X5 )
| ~ s_t(X6,X7,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X5)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480135,c_480254]) ).
tcf(c_496943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X3,ip(X0,X1,X2,X3,X5),X1,X4,X6,X1) = X1 )
| ~ s_t(X4,X6,X1)
| ~ s_t(X3,X5,X2)
| ~ s_t(X3,X1,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480074,c_480254]) ).
tcf(c_496944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(X4,ip(X0,X1,X2,X3,X4),X5,X6,X7,X5) = X5 )
| ~ s_t(X6,X7,X5)
| ~ s_t(X4,X5,X6)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_480254]) ).
tcf(c_496945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(ip(X0,X1,X2,X3,X4),X0,X5,X6,X7,X5) = X5 )
| ~ s_t(X6,X7,X5)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480136,c_480254]) ).
tcf(c_496946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X0,ip(X0,X1,X2,X5,X3),X3,X4,X6,X3) = X3 )
| ~ s_t(X5,X3,X2)
| ~ s_t(X4,X6,X3)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480075,c_480254]) ).
tcf(c_497114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X5,X3),ext(crossbar(X0,X1,X2,X4,X5,X3),X2,X6,X7))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_480255]) ).
tcf(c_497115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_480255]) ).
tcf(c_497116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),ins(X6,X7,crossbar(X0,X1,X2,X3,X4,X5),X2))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ le(crossbar(X0,X1,X2,X3,X4,X5),X2,X6,X7) ),
inference(superposition,[status(thm)],[c_110,c_480255]) ).
tcf(c_497117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),c63(crossbar(X0,X1,X2,X3,X4,X5),X2,X6))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_129,c_480255]) ).
tcf(c_497118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,crossbar(X2,X3,X1,X4,X5,X6),c63(X0,X1,crossbar(X2,X3,X1,X4,X5,X6)))
| ( crossbar(X2,X3,X1,X4,X5,X6) = X1 )
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X3,X1)
| ~ sameside(X0,X1,crossbar(X2,X3,X1,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_130,c_480255]) ).
tcf(c_497119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X5,X3),s(X2,crossbar(X0,X1,X2,X4,X5,X3)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_480255]) ).
tcf(c_497157,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X0,X2,X1)
| ~ s_m(X1,X0,X2)
| ~ s_t(X2,X0,X1)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_486273,c_480055]) ).
tcf(c_497158,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X2,X0,X2)
| ~ s_m(X0,X2,X1)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486273,c_479987]) ).
tcf(c_497159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X4,X1)
| ( X0 = X2 )
| ~ s_m(X2,X1,X0)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X2,X4)
| ~ s_e(X0,X3,X2,X4)
| ~ s_e(X0,X1,X2,X1) ),
inference(superposition,[status(thm)],[c_486273,c_479886]) ).
tcf(c_497160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X1,X6,X3)
| ~ s_m(X0,X4,X2)
| ~ s_t(X2,X6,X4)
| ~ s_t(X0,X5,X4)
| ~ s_e(X5,X4,X6,X4)
| ~ s_e(X4,X1,X4,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486273,c_2500]) ).
tcf(c_497161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X3,X1,X0,X2)
| ~ s_m(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486273,c_233]) ).
tcf(c_497163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X4,X3)
| ~ s_m(X0,X4,X2)
| ~ sameside(X4,X2,X3)
| ~ sameside(X4,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486273,c_154]) ).
tcf(c_497164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = X3 )
| ( X1 = X3 )
| ( X0 = X4 )
| ~ s_m(X0,X3,X2)
| ~ sameside(X3,X0,X4)
| ~ sameside(X1,X0,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486273,c_140]) ).
tcf(c_497165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X6,X5,X2,X3)
| ~ s_m(X4,X5,X6)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486273,c_114]) ).
tcf(c_497166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X3,X2)
| ~ s_m(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486273,c_113]) ).
tcf(c_497167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,ext(ext(X2,X3,alpha,gamma),X3,X0,X1),X2)
| ~ s_m(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486273,c_91]) ).
tcf(c_497168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X0,X4,X2)
| ~ s_m(X3,X1,X4)
| ~ s_t(X4,X2,X1)
| ~ s_t(X3,X0,X1)
| ~ s_e(X0,X1,X2,X1) ),
inference(superposition,[status(thm)],[c_486273,c_90]) ).
tcf(c_497169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X2,X0)
| ~ s_m(X4,X0,X3)
| ~ s_t(X4,X0,X1)
| ~ s_t(X2,X3,X0)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486273,c_71]) ).
tcf(c_497171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X3,X2) = X2 )
| ~ s_m(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486273,c_68]) ).
tcf(c_497172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X4,X2)
| ~ s_m(X3,X0,X4)
| ~ s_t(X4,X0,X2)
| ~ s_t(X3,X0,X1)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_486273,c_67]) ).
tcf(c_497175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X2,X3)
| ~ s_m(X4,X1,X0)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486273,c_63]) ).
tcf(c_497176,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X1,X0,X1)
| ~ s_m(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486273,c_62]) ).
tcf(c_497177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X1,X6,X3)
| ( X0 = X4 )
| ~ s_m(X0,X4,X2)
| ~ s_t(X2,X4,X6)
| ~ s_t(X0,X4,X5)
| ~ s_e(X4,X5,X4,X6)
| ~ s_e(X4,X1,X4,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486273,c_54]) ).
tcf(c_497178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X2,X3)
| ~ s_m(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486273,c_50]) ).
tcf(c_497180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,X4)
| ~ s_m(X3,X4,X3)
| ~ s_m(X1,X5,X2)
| ~ s_m(X0,X3,X0)
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X0,X3)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_486273,c_178]) ).
tcf(c_497181,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X0,X2)
| ~ s_m(X1,X2,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486273,c_479989]) ).
tcf(c_497182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X1,X3,X1)
| ( X0 = X4 )
| ~ s_m(X4,X1,X4)
| ~ s_t(X4,X0,X3)
| ~ s_t(X4,X0,X2)
| ~ s_e(X0,X2,X0,X3)
| ~ s_e(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_486273,c_479928]) ).
tcf(c_497185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,X2,X3)
| ( X0 = X1 )
| ~ s_m(X3,X0,X3)
| ~ s_m(X1,X3,X1)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486273,c_86598]) ).
tcf(c_497187,plain,
! [X0: $i,X1: $i] :
( s_m(X0,X1,X0)
| ~ s_m(X1,X0,X1)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_486273,c_241]) ).
tcf(c_497188,plain,
! [X0: $i,X1: $i] :
( s_m(X1,isomidpoint(X1,X1,X0),X1)
| ~ s_m(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_486273,c_179]) ).
tcf(c_497193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X3,X1)
| ( X0 = X2 )
| ~ s_m(X2,X1,X2)
| ~ s_col(X2,X0,X3)
| ~ s_e(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_486273,c_104]) ).
tcf(c_497194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X2,X3,X2)
| ~ s_m(s(X0,X1),s(X0,X2),s(X0,X3)) ),
inference(superposition,[status(thm)],[c_486273,c_170]) ).
tcf(c_497195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X3,X4,ext(X1,X0,X2,X3))
| ~ s_m(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_486273,c_479867]) ).
tcf(c_497196,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X2,X1,X0)
| ~ s_m(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_486273,c_479966]) ).
tcf(c_497197,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X1,X0,X2)
| ~ s_m(X1,X1,X0)
| ~ s_t(X2,X1,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486273,c_480053]) ).
tcf(c_497198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X4,X2,X4)
| ~ s_t(X2,X3,X4)
| ~ s_m(ext(X1,X0,X2,X3),X4,X3)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_486273,c_479988]) ).
tcf(c_497199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X4,X6,X5,X6)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X2,X3,X5)
| ~ s_e(X1,X6,X2,X6)
| ~ s_m(ext(X0,X1,X2,X3),X6,X3)
| ~ s_t(X1,ext(X0,X1,X2,X3),X4)
| ~ s_e(ext(X0,X1,X2,X3),X4,X3,X5) ),
inference(superposition,[status(thm)],[c_486273,c_479887]) ).
tcf(c_497200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X2,X4,X3)
| ~ s_t(X4,X2,X3)
| ~ s_m(ext(X1,X0,X2,X3),X2,X4)
| ~ s_t(X0,ext(X1,X0,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_486273,c_480054]) ).
tcf(c_497226,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X1,X0,X2)
| ~ s_m(X1,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_497197,c_72]) ).
tcf(c_497291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X4,X2,X4)
| ( X0 = X3 )
| ~ s_m(X3,X4,X3)
| ~ s_t(X3,X0,X2)
| ~ s_t(X3,X0,X1)
| ~ s_e(X0,X1,X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_497182,c_61]) ).
tcf(c_497507,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,X2,X0)
| ~ s_m(X1,X0,X2)
| ~ s_t(X2,X0,X0)
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_486276,c_480055]) ).
tcf(c_497509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X4,X2)
| ( X0 = X2 )
| ~ s_m(X1,X2,X0)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X2,X4)
| ~ s_e(X0,X3,X2,X4)
| ~ s_e(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_486276,c_479886]) ).
tcf(c_497510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X1,X6,X3)
| ~ s_m(X0,X2,X4)
| ~ s_t(X4,X6,X2)
| ~ s_t(X2,X5,X0)
| ~ s_e(X5,X0,X6,X2)
| ~ s_e(X2,X1,X4,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486276,c_2500]) ).
tcf(c_497511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X1,X3,X0,X2)
| ~ s_m(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486276,c_233]) ).
tcf(c_497512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(X2,X3,X1)
| s_col(X2,X0,X1)
| ( X0 = X2 )
| ~ s_m(X0,X2,X1)
| ~ s_col(X2,X3,X1)
| ~ s_col(X0,X3,X2)
| ~ s_e(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_486276,c_175]) ).
tcf(c_497513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X0,X3)
| ~ s_m(X4,X0,X2)
| ~ sameside(X4,X0,X1)
| ~ sameside(X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486276,c_154]) ).
tcf(c_497514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X3 )
| ( X0 = X4 )
| ( X0 = X2 )
| ~ s_m(X3,X0,X2)
| ~ sameside(X3,X0,X4)
| ~ sameside(X1,X0,X4)
| ~ s_e(X0,X1,X2,X0) ),
inference(superposition,[status(thm)],[c_486276,c_140]) ).
tcf(c_497515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X6,X4,X2,X3)
| ~ s_m(X5,X4,X6)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486276,c_114]) ).
tcf(c_497516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X3,X0)
| ~ s_m(X2,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486276,c_113]) ).
tcf(c_497517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,ext(ext(X0,X3,alpha,gamma),X3,X0,X1),X0)
| ~ s_m(X2,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486276,c_91]) ).
tcf(c_497518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X0,X4,X2)
| ~ s_m(X1,X3,X4)
| ~ s_t(X4,X2,X3)
| ~ s_t(X3,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486276,c_90]) ).
tcf(c_497519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X2,X4)
| ~ s_m(X0,X4,X3)
| ~ s_t(X4,X0,X1)
| ~ s_t(X2,X3,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486276,c_71]) ).
tcf(c_497521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X3,X1) = X2 )
| ~ s_m(X2,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486276,c_68]) ).
tcf(c_497522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X1,X4,X3)
| ~ s_m(X0,X2,X4)
| ~ s_t(X4,X2,X3)
| ~ s_t(X2,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486276,c_67]) ).
tcf(c_497525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X4,X2,X3)
| ~ s_m(X4,X1,X0)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486276,c_63]) ).
tcf(c_497526,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X1,X1,X0)
| ~ s_m(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486276,c_62]) ).
tcf(c_497527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X4,X1,X5,X3)
| ( X0 = X2 )
| ~ s_m(X0,X2,X6)
| ~ s_t(X6,X2,X5)
| ~ s_t(X2,X0,X4)
| ~ s_e(X2,X1,X6,X3)
| ~ s_e(X0,X4,X2,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486276,c_54]) ).
tcf(c_497528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X0,X2,X3)
| ~ s_m(X1,X0,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486276,c_50]) ).
tcf(c_497530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,X4)
| ~ s_m(X3,X4,X0)
| ~ s_m(X3,X0,X0)
| ~ s_m(X1,X5,X2)
| ~ s_t(X2,X0,X0)
| ~ s_t(X1,X0,X3)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_486276,c_178]) ).
tcf(c_497531,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X0,X1)
| ~ s_m(X2,X1,X1)
| ~ s_t(X0,X1,X2)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_486276,c_479989]) ).
tcf(c_497532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X4,X2)
| ( X0 = X2 )
| ~ s_m(X1,X2,X2)
| ~ s_t(X2,X0,X4)
| ~ s_t(X2,X0,X3)
| ~ s_e(X0,X3,X0,X4)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_486276,c_479928]) ).
tcf(c_497533,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_m(X2,X0,X1)
| ~ s_m(X1,X2,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486276,c_297643]) ).
tcf(c_497534,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_m(X1,X2,X2)
| ~ s_m(X1,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486276,c_297638]) ).
tcf(c_497535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,X2,X1)
| ( X0 = X1 )
| ~ s_m(X3,X1,X1)
| ~ s_m(X1,X0,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486276,c_86598]) ).
tcf(c_497536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,X2,X1)
| ( X0 = X1 )
| ~ s_m(X3,X1,X1)
| ~ s_m(X3,X0,X1)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486276,c_86593]) ).
tcf(c_497538,plain,
! [X0: $i,X1: $i] :
( s_m(X0,isomidpoint(X0,X1,X1),X1)
| ~ s_m(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_486276,c_179]) ).
tcf(c_497540,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ s_m(X1,X0,X0)
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_486276,c_122]) ).
tcf(c_497541,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_m(X1,X2,X2)
| ~ s_t(X2,X1,X0)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_486276,c_106]) ).
tcf(c_497542,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = X2 )
| ~ s_m(X1,X2,X2)
| ~ s_col(X2,X0,X1)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_486276,c_105]) ).
tcf(c_497543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X3,X2)
| ( X0 = X2 )
| ~ s_m(X1,X2,X2)
| ~ s_col(X2,X0,X3)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_486276,c_104]) ).
tcf(c_497544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X1,X3,X2)
| ~ s_m(s(X0,X1),s(X0,X2),s(X0,X3)) ),
inference(superposition,[status(thm)],[c_486276,c_170]) ).
tcf(c_497545,plain,
! [X0: $i,X1: $i] :
( s_r(s(X1,X0),X1,X0)
| ~ s_m(X0,s(X1,X0),s(X1,X0)) ),
inference(superposition,[status(thm)],[c_486276,c_250]) ).
tcf(c_497546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X3,X4,X1)
| ~ s_m(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_486276,c_479867]) ).
tcf(c_497548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,X0,X2)
| ~ s_m(X3,X1,X0)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486276,c_480053]) ).
tcf(c_497549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X4,X2,ext(X1,X0,X2,X3))
| ~ s_m(X4,ext(X1,X0,X2,X3),X3)
| ~ s_t(X2,X3,ext(X1,X0,X2,X3))
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_486276,c_479988]) ).
tcf(c_497550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X4,X6,X5,ext(X0,X1,X2,X3))
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X2,X3,X5)
| ~ s_m(X6,ext(X0,X1,X2,X3),X3)
| ~ s_t(X1,ext(X0,X1,X2,X3),X4)
| ~ s_e(X1,X6,X2,ext(X0,X1,X2,X3))
| ~ s_e(ext(X0,X1,X2,X3),X4,X3,X5) ),
inference(superposition,[status(thm)],[c_486276,c_479887]) ).
tcf(c_497590,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X0,X1)
| ~ s_m(X2,X1,X1)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_497531,c_72]) ).
tcf(c_497660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X0,X5)
| ~ s_m(X3,X5,X0)
| ~ s_m(X3,X0,X0)
| ~ s_m(X1,X4,X2)
| ~ s_t(X1,X0,X3)
| ~ s_e(X0,X1,X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_497530,c_72]) ).
tcf(c_497796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X3,crossbar(X0,X1,X2,X4,X5,X3),X6,X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X2,X3)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_480892]) ).
tcf(c_497797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_m(X3,crossbar(X0,X1,X2,X4,X5,X3),X3)
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X2,X3)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_486468]) ).
tcf(c_497798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,crossbar(X0,X1,X2,X4,X5,X3),X3)
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X2,X3)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_480184]) ).
tcf(c_497799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X3,crossbar(X0,X1,X2,X4,X5,X3))
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X2,X3)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_480114]) ).
tcf(c_497800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X2,X3)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_55]) ).
tcf(c_497801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( crossbar(X3,crossbar(X0,X1,X2,X4,X7,X3),X5,X6,X8,X5) = X5 )
| ~ s_t(X6,X8,X5)
| ~ s_t(X4,X7,X2)
| ~ s_t(X3,X5,X6)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_480254]) ).
tcf(c_497802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X0,X1,X2,X4,X6,X3) = X3 )
| ( ext(X3,crossbar(X0,X1,X2,X4,X6,X3),crossbar(X0,X1,X2,X4,X6,X3),X5) = X5 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_480013]) ).
tcf(c_497803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X0,X1,X2,X4,X6,X3) = X3 )
| ( ext(X3,crossbar(X0,X1,X2,X4,X6,X3),X5,crossbar(X0,X1,X2,X4,X6,X3)) = X5 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_480011]) ).
tcf(c_497804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( ip(X3,crossbar(X0,X1,X2,X4,X6,X3),X5,X7,X3) = X3 )
| ~ s_t(X7,X3,X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_479924]) ).
tcf(c_497805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( ip(X5,crossbar(X0,X1,X2,X3,X4,X5),X7,crossbar(X0,X1,X2,X3,X4,X5),X6) = crossbar(X0,X1,X2,X3,X4,X5) )
| ~ s_t(X5,X2,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480256,c_479914]) ).
tcf(c_497806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X5,X3,crossbar(X0,X1,X2,X4,X6,X3))
| ( X3 = X5 )
| ( crossbar(X0,X1,X2,X4,X6,X3) = X3 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_238]) ).
tcf(c_497807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(crossbar(X0,X1,X2,X4,X6,X3),X3,X5)
| ( X3 = xb )
| ( crossbar(X0,X1,X2,X4,X6,X3) = X3 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_237]) ).
tcf(c_497808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(crossbar(X0,X1,X2,X4,X6,X3),X5,X3)
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_225]) ).
tcf(c_497809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X3,crossbar(X0,X1,X2,X4,X6,X3))
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_224]) ).
tcf(c_497810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X3,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_223]) ).
tcf(c_497811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(X2,X3,X4,X5,X6,X0) = X1 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X0,X5)
| ~ s_t(X0,X4,X7)
| ~ s_r(X7,X1,crossbar(X2,X3,X4,X5,X6,X0))
| ~ s_r(X0,X1,crossbar(X2,X3,X4,X5,X6,X0)) ),
inference(superposition,[status(thm)],[c_480256,c_184]) ).
tcf(c_497812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,X0,X7)
| s_t(X0,X6,X7)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X7 )
| ~ s_t(X6,X3,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480256,c_147]) ).
tcf(c_497813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,crossbar(X1,X2,X3,X4,X5,X6),X6)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X7 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ~ s_t(X6,X3,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480256,c_145]) ).
tcf(c_497814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7)
| sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X6)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X7 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X6,X3,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_col(X0,crossbar(X1,X2,X3,X4,X5,X6),X6) ),
inference(superposition,[status(thm)],[c_480256,c_143]) ).
tcf(c_497815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,X3,X6)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_480256,c_133]) ).
tcf(c_497816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X6,crossbar(X1,X2,X3,X4,X5,X6),X0)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X7 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X6,X3,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480256,c_131]) ).
tcf(c_497817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,crossbar(X1,X2,X3,X4,X5,X0),X7)
| ( crossbar(X1,X2,X3,X4,X5,X0) = X7 )
| ( crossbar(X1,X2,X3,X4,X5,X0) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,X3,X7)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_480256,c_125]) ).
tcf(c_497818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X6,crossbar(X0,X1,X2,X4,X7,X3))
| s_t(X3,crossbar(X0,X1,X2,X4,X7,X3),X6)
| ~ s_t(X4,X7,X2)
| ~ s_t(X3,X6,X5)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_109]) ).
tcf(c_497819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X1,X2,X3,X4,X5,X0),X7,X6)
| s_t(crossbar(X1,X2,X3,X4,X5,X0),X6,X7)
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,X3,X7)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_480256,c_108]) ).
tcf(c_497820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X7,X6)
| s_t(X0,X6,X7)
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,X3,X7)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_480256,c_107]) ).
tcf(c_497821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),X7)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X5,X2,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480256,c_81]) ).
tcf(c_497822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X7,X3),X6)
| ~ s_t(X4,X7,X2)
| ~ s_t(X3,X5,X6)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_80]) ).
tcf(c_497823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,X6,X7)
| ~ s_t(X5,X2,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480256,c_79]) ).
tcf(c_497824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,X6,X7)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X5,X2,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480256,c_78]) ).
tcf(c_497825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X1,X2,X4,X7,X3),X5,X6)
| ~ s_t(X4,X7,X2)
| ~ s_t(X3,X5,X6)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_77]) ).
tcf(c_497826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),X6)
| ~ s_t(X5,X2,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480256,c_76]) ).
tcf(c_497827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X0,X1,X2,X3,X4,X5) = X5 )
| ~ s_t(X5,X2,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X5,X6) ),
inference(superposition,[status(thm)],[c_480256,c_75]) ).
tcf(c_497828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,crossbar(X0,X1,X2,X4,X6,X3),X3)
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_73]) ).
tcf(c_497829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(X2,X3,X1,X4,X5,X0) = X0 )
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,X1,ext(crossbar(X2,X3,X1,X4,X5,X0),X0,X6,X7)) ),
inference(superposition,[status(thm)],[c_480256,c_480090]) ).
tcf(c_497830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,crossbar(X5,X6,X1,X7,X8,X0),ext(X2,X0,X3,X4))
| ~ s_t(X7,X8,X1)
| ~ s_t(X5,X6,X1)
| ~ s_t(X5,X0,X7)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480256,c_480181]) ).
tcf(c_497831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,X0,crossbar(X5,X6,X1,X7,X8,X0))
| ~ s_t(X7,X8,X1)
| ~ s_t(X5,X6,X1)
| ~ s_t(X5,X0,X7)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480256,c_480111]) ).
tcf(c_497832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,crossbar(X6,X8,X5,X7,X9,ip(X0,X1,X2,X3,X4)),X3)
| ~ s_t(X7,X9,X5)
| ~ s_t(X6,X8,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_480256,c_480182]) ).
tcf(c_497833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),crossbar(X6,X8,X5,X7,X9,ip(X0,X1,X2,X3,X4)))
| ~ s_t(X7,X9,X5)
| ~ s_t(X6,X8,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_480256,c_480112]) ).
tcf(c_497834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X4,crossbar(X6,X8,X5,X7,X9,ip(X0,X1,X2,X3,X4)),X0)
| ~ s_t(X7,X9,X5)
| ~ s_t(X6,X8,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_480256,c_480183]) ).
tcf(c_497835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),crossbar(X6,X8,X5,X7,X9,ip(X0,X1,X2,X3,X4)))
| ~ s_t(X7,X9,X5)
| ~ s_t(X6,X8,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_480256,c_480113]) ).
tcf(c_497836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( crossbar(X3,X4,X1,X5,X6,X0) = X0 )
| ( ext(X0,crossbar(X3,X4,X1,X5,X6,X0),X7,X8) = ext(X2,crossbar(X3,X4,X1,X5,X6,X0),X7,X8) )
| ~ s_t(X5,X6,X1)
| ~ s_t(X3,X4,X1)
| ~ s_t(X3,X0,X5)
| ~ s_t(X0,X1,ext(X2,crossbar(X3,X4,X1,X5,X6,X0),X7,X8)) ),
inference(superposition,[status(thm)],[c_480256,c_480012]) ).
tcf(c_498257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X6,ip(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X3,X8),X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X3,X8,X7)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_56,c_480257]) ).
tcf(c_498258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X6,ip(X3,X8,X7,X0,crossbar(X1,X2,X3,X4,X5,X6)),X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X3,X8,X7)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_57,c_480257]) ).
tcf(c_498259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,X2)
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_480257]) ).
tcf(c_498261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X6,crossbar(X0,X8,X3,X7,X9,crossbar(X1,X2,X3,X4,X5,X6)),X3)
| ~ s_t(X7,X9,X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X8,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_87,c_480257]) ).
tcf(c_498262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X6,crossbar(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X9,X3,X8),X3)
| ~ s_t(X9,X3,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X8,X9)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_88,c_480257]) ).
tcf(c_498263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,ext(ext(X4,crossbar(X2,X3,X4,X5,X6,X7),alpha,gamma),crossbar(X2,X3,X4,X5,X6,X7),X0,X1),X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,crossbar(X2,X3,X4,X5,X6,X7),X4) ),
inference(superposition,[status(thm)],[c_231,c_480257]) ).
tcf(c_498264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X5,ip(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X6,X9),X2)
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_480205,c_480257]) ).
tcf(c_498265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X5,ip(X8,X2,X7,crossbar(X0,X1,X2,X3,X4,X5),X6),X2)
| ~ s_t(X8,X2,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480074,c_480257]) ).
tcf(c_498266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X5,ip(X6,X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5)),X2)
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_480206,c_480257]) ).
tcf(c_498267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X5,ip(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8,X2),X2)
| ~ s_t(X8,X2,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480075,c_480257]) ).
tcf(c_498268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X5,crossbar(X7,X9,X6,X8,X10,crossbar(X0,X1,X2,X3,X4,X5)),X2)
| ~ s_t(X8,X10,X6)
| ~ s_t(X7,X9,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_480256,c_480257]) ).
tcf(c_498408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X2,ext(crossbar(X0,X1,X2,X4,X5,X3),X2,X6,X7))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_480258]) ).
tcf(c_498409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_480258]) ).
tcf(c_498410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,X2,ins(X6,X7,crossbar(X0,X1,X2,X3,X4,X5),X2))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ le(crossbar(X0,X1,X2,X3,X4,X5),X2,X6,X7) ),
inference(superposition,[status(thm)],[c_110,c_480258]) ).
tcf(c_498411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,X2,c63(crossbar(X0,X1,X2,X3,X4,X5),X2,X6))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_129,c_480258]) ).
tcf(c_498412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X1,c63(X0,X1,crossbar(X2,X3,X1,X4,X5,X6)))
| ( crossbar(X2,X3,X1,X4,X5,X6) = X1 )
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X3,X1)
| ~ sameside(X0,X1,crossbar(X2,X3,X1,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_130,c_480258]) ).
tcf(c_498413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,s(X2,crossbar(X0,X1,X2,X4,X5,X3)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_480258]) ).
tcf(c_498446,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X0,X0,X2)
| ~ s_m(X2,X0,X1)
| ~ s_t(X1,X2,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486277,c_480055]) ).
tcf(c_498447,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X1,X0,X2)
| ~ s_m(X0,X1,X2)
| ~ s_t(X1,X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486277,c_479987]) ).
tcf(c_498448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X0,X4,X2)
| ( X0 = X1 )
| ~ s_m(X1,X0,X2)
| ~ s_t(X1,X0,X3)
| ~ s_t(X0,X1,X4)
| ~ s_e(X0,X3,X1,X4)
| ~ s_e(X0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486277,c_479886]) ).
tcf(c_498449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X1,X6,X3)
| ~ s_m(X0,X2,X4)
| ~ s_t(X2,X6,X4)
| ~ s_t(X0,X5,X2)
| ~ s_e(X5,X2,X6,X4)
| ~ s_e(X2,X1,X4,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486277,c_2500]) ).
tcf(c_498450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X3,X0,X0,X2)
| ~ s_m(X3,X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486277,c_233]) ).
tcf(c_498451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(X2,X3,X0)
| s_col(X2,X0,X0)
| ( X0 = X1 )
| ~ s_m(X2,X0,X1)
| ~ s_col(X2,X3,X0)
| ~ s_col(X0,X3,X1)
| ~ s_e(X0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486277,c_175]) ).
tcf(c_498452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X1,X4,X3)
| ~ s_m(X0,X2,X4)
| ~ sameside(X4,X2,X3)
| ~ sameside(X2,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486277,c_154]) ).
tcf(c_498453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = X3 )
| ( X1 = X2 )
| ( X0 = X4 )
| ~ s_m(X0,X2,X3)
| ~ sameside(X2,X0,X4)
| ~ sameside(X1,X0,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486277,c_140]) ).
tcf(c_498454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X5,X6,X2,X3)
| ~ s_m(X4,X5,X6)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486277,c_114]) ).
tcf(c_498455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X2,X3)
| ~ s_m(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486277,c_113]) ).
tcf(c_498456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ s_m(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486277,c_91]) ).
tcf(c_498457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X0,X1,X2)
| ~ s_m(X4,X1,X3)
| ~ s_t(X4,X0,X1)
| ~ s_t(X1,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486277,c_90]) ).
tcf(c_498458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X2,X4)
| ~ s_m(X3,X0,X4)
| ~ s_t(X3,X0,X1)
| ~ s_t(X2,X0,X4)
| ~ s_e(X0,X1,X2,X0) ),
inference(superposition,[status(thm)],[c_486277,c_71]) ).
tcf(c_498460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X2 )
| ~ s_m(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486277,c_68]) ).
tcf(c_498461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X0,X3)
| ~ s_m(X4,X0,X2)
| ~ s_t(X4,X0,X1)
| ~ s_t(X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486277,c_67]) ).
tcf(c_498464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X0,X2,X3)
| ~ s_m(X4,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486277,c_63]) ).
tcf(c_498465,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X2,X0,X1)
| ~ s_m(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486277,c_62]) ).
tcf(c_498466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X1,X6,X3)
| ( X0 = X2 )
| ~ s_m(X0,X2,X4)
| ~ s_t(X2,X4,X6)
| ~ s_t(X0,X2,X5)
| ~ s_e(X2,X5,X4,X6)
| ~ s_e(X2,X1,X4,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486277,c_54]) ).
tcf(c_498467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X4,X2,X3)
| ~ s_m(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486277,c_50]) ).
tcf(c_498469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,X4)
| ~ s_m(X1,X5,X2)
| ~ s_m(X0,X4,X3)
| ~ s_m(X0,X0,X3)
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X0,X0)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_486277,c_178]) ).
tcf(c_498470,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,X0,X2)
| ~ s_m(X1,X1,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_486277,c_479989]) ).
tcf(c_498471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X4,X2)
| ( X0 = X1 )
| ~ s_m(X1,X1,X2)
| ~ s_t(X1,X0,X4)
| ~ s_t(X1,X0,X3)
| ~ s_e(X0,X3,X0,X4)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_486277,c_479928]) ).
tcf(c_498472,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_m(X2,X0,X1)
| ~ s_m(X1,X1,X2)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_486277,c_297643]) ).
tcf(c_498473,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_m(X1,X1,X2)
| ~ s_m(X1,X0,X2)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_486277,c_297638]) ).
tcf(c_498474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X1,X2,X3)
| ( X0 = X1 )
| ~ s_m(X3,X0,X1)
| ~ s_m(X1,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486277,c_86598]) ).
tcf(c_498475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X1,X2,X3)
| ( X0 = X1 )
| ~ s_m(X1,X1,X3)
| ~ s_m(X1,X0,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486277,c_86593]) ).
tcf(c_498477,plain,
! [X0: $i,X1: $i] :
( s_m(X0,isomidpoint(X0,X1,X0),X1)
| ~ s_m(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_486277,c_179]) ).
tcf(c_498480,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_m(X1,X1,X2)
| ~ s_t(X1,X1,X0)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_486277,c_106]) ).
tcf(c_498481,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = X1 )
| ~ s_m(X1,X1,X2)
| ~ s_col(X1,X0,X1)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_486277,c_105]) ).
tcf(c_498482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X3,X2)
| ( X0 = X1 )
| ~ s_m(X1,X1,X2)
| ~ s_col(X1,X0,X3)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_486277,c_104]) ).
tcf(c_498483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X2,X2,X3)
| ~ s_m(s(X0,X1),s(X0,X2),s(X0,X3)) ),
inference(superposition,[status(thm)],[c_486277,c_170]) ).
tcf(c_498484,plain,
! [X0: $i,X1: $i] :
( s_r(X0,X1,X0)
| ~ s_m(X0,X0,s(X1,X0)) ),
inference(superposition,[status(thm)],[c_486277,c_250]) ).
tcf(c_498485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X3,ext(X1,X0,X2,X3),X4)
| ~ s_m(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_486277,c_479867]) ).
tcf(c_498487,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X0,X0,X2)
| ~ s_m(X1,X0,X1)
| ~ s_t(X2,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486277,c_480053]) ).
tcf(c_498488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X3,X2,X4)
| ~ s_t(X2,X3,X4)
| ~ s_m(ext(X1,X0,X2,X3),X3,X4)
| ~ s_t(X0,ext(X1,X0,X2,X3),X3) ),
inference(superposition,[status(thm)],[c_486277,c_479988]) ).
tcf(c_498489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X4,X3,X5,X6)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X2,X3,X5)
| ~ s_e(X1,X3,X2,X6)
| ~ s_m(ext(X0,X1,X2,X3),X3,X6)
| ~ s_t(X1,ext(X0,X1,X2,X3),X4)
| ~ s_e(ext(X0,X1,X2,X3),X4,X3,X5) ),
inference(superposition,[status(thm)],[c_486277,c_479887]) ).
tcf(c_498490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X4,X4,X3)
| ~ s_t(X4,X2,X3)
| ~ s_m(ext(X1,X0,X2,X3),X4,X2)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_486277,c_480054]) ).
tcf(c_498513,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ s_m(X0,X1,X2)
| ~ s_m(X0,X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_498473,c_72]) ).
tcf(c_498517,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ s_m(X1,X2,X0)
| ~ s_m(X0,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_498472,c_72]) ).
tcf(c_498521,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_m(X1,X1,X2)
| ~ s_e(X0,X1,X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_498480,c_74]) ).
tcf(c_498525,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,X0,X2)
| ~ s_m(X1,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_498470,c_72]) ).
tcf(c_498548,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = X1 )
| ~ s_m(X1,X1,X2)
| ~ s_e(X0,X1,X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_498481,c_100]) ).
tcf(c_498603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,X4)
| ~ s_m(X1,X5,X2)
| ~ s_m(X0,X4,X3)
| ~ s_m(X0,X0,X3)
| ~ s_t(X2,X0,X3)
| ~ s_e(X0,X1,X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_498469,c_72]) ).
tcf(c_498806,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X1,X1)
| ~ s_m(X0,X1,X2)
| ~ s_t(X1,X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486279,c_480055]) ).
tcf(c_498807,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X0,X1)
| ~ s_m(X1,X0,X2)
| ~ s_t(X0,X0,X2)
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_486279,c_479987]) ).
tcf(c_498809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X1,X6,X2)
| ~ s_m(X4,X0,X3)
| ~ s_t(X0,X6,X4)
| ~ s_t(X0,X5,X3)
| ~ s_e(X5,X3,X6,X4)
| ~ s_e(X3,X1,X4,X2)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_486279,c_2500]) ).
tcf(c_498810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X3,X0,X2)
| ~ s_m(X1,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486279,c_233]) ).
tcf(c_498811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(X1,X3,X1)
| s_col(X1,X0,X1)
| ( X0 = X2 )
| ~ s_m(X2,X1,X0)
| ~ s_col(X1,X3,X1)
| ~ s_col(X0,X3,X2)
| ~ s_e(X0,X1,X2,X1) ),
inference(superposition,[status(thm)],[c_486279,c_175]) ).
tcf(c_498812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X3,X2)
| ~ s_m(X3,X0,X4)
| ~ sameside(X4,X0,X1)
| ~ sameside(X3,X0,X2)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_486279,c_154]) ).
tcf(c_498813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X3 )
| ( X0 = X4 )
| ( X0 = X2 )
| ~ s_m(X2,X0,X3)
| ~ sameside(X3,X0,X4)
| ~ sameside(X1,X0,X4)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_486279,c_140]) ).
tcf(c_498814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X4,X6,X2,X3)
| ~ s_m(X6,X4,X5)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486279,c_114]) ).
tcf(c_498815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X0,X3)
| ~ s_m(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486279,c_113]) ).
tcf(c_498816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ext(ext(X3,X0,alpha,gamma),X0,X0,X1),X3)
| ~ s_m(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486279,c_91]) ).
tcf(c_498817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X0,X4,X2)
| ~ s_m(X3,X4,X1)
| ~ s_t(X4,X2,X3)
| ~ s_t(X4,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486279,c_90]) ).
tcf(c_498818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X2,X4)
| ~ s_m(X4,X3,X0)
| ~ s_t(X3,X0,X1)
| ~ s_t(X2,X3,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486279,c_71]) ).
tcf(c_498820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X1,X3) = X2 )
| ~ s_m(X3,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486279,c_68]) ).
tcf(c_498821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X4,X3)
| ~ s_m(X2,X4,X0)
| ~ s_t(X4,X2,X3)
| ~ s_t(X4,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486279,c_67]) ).
tcf(c_498826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X1,X6,X2)
| ( X0 = X3 )
| ~ s_m(X4,X0,X3)
| ~ s_t(X0,X4,X6)
| ~ s_t(X0,X3,X5)
| ~ s_e(X3,X5,X4,X6)
| ~ s_e(X3,X1,X4,X2)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_486279,c_54]) ).
tcf(c_498829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X0,X5)
| ~ s_m(X4,X0,X3)
| ~ s_m(X3,X5,X4)
| ~ s_m(X1,X6,X2)
| ~ s_t(X2,X0,X4)
| ~ s_t(X1,X0,X3)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_486279,c_178]) ).
tcf(c_498830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X3,X0,X2)
| ~ s_m(X2,X1,X3)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486279,c_479989]) ).
tcf(c_498831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X3,X1,X4,X2)
| ( X0 = X5 )
| ~ s_m(X2,X5,X1)
| ~ s_t(X5,X0,X4)
| ~ s_t(X5,X0,X3)
| ~ s_e(X0,X3,X0,X4)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_486279,c_479928]) ).
tcf(c_498832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ s_m(X3,X2,X1)
| ~ s_m(X3,X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486279,c_297643]) ).
tcf(c_498833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ s_m(X3,X2,X1)
| ~ s_m(X1,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486279,c_297638]) ).
tcf(c_498834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X4,X2,X3)
| ( X0 = X1 )
| ~ s_m(X3,X1,X4)
| ~ s_m(X3,X0,X4)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486279,c_86598]) ).
tcf(c_498835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X4,X2,X3)
| ( X0 = X1 )
| ~ s_m(X4,X0,X3)
| ~ s_m(X3,X1,X4)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486279,c_86593]) ).
tcf(c_498836,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X0,X1,X2)
| ~ s_m(X2,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486279,c_241]) ).
tcf(c_498838,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X0,X1,X2)
| ( X0 = X2 )
| ~ s_m(X2,X1,X0)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486279,c_174]) ).
tcf(c_498839,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_m(X1,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486279,c_122]) ).
tcf(c_498841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = X3 )
| ~ s_m(X2,X3,X1)
| ~ s_col(X3,X0,X1)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_486279,c_105]) ).
tcf(c_498843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,X2,X1)
| ~ s_m(s(X0,X1),s(X0,X2),s(X0,X3)) ),
inference(superposition,[status(thm)],[c_486279,c_170]) ).
tcf(c_498844,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X2,X0,X1)
| ~ s_m(s(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_486279,c_250]) ).
tcf(c_498845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X4,X1,X0)
| ~ s_m(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_486279,c_479867]) ).
tcf(c_498846,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X2,X1,X0)
| ~ s_m(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_486279,c_479966]) ).
tcf(c_498847,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X2,X0,X1)
| ~ s_m(X0,X0,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_486279,c_480053]) ).
tcf(c_498848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X4,ext(X0,X1,X2,X3),X3)
| ~ s_m(X2,ext(X0,X1,X2,X3),X4)
| ~ s_t(X1,ext(X0,X1,X2,X3),X4)
| ~ s_t(ext(X0,X1,X2,X3),X2,X3) ),
inference(superposition,[status(thm)],[c_486279,c_480054]) ).
tcf(c_498881,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X1,X0)
| ~ s_m(X1,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_498847,c_74]) ).
tcf(c_499041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(crossbar(X2,X3,X1,X4,X5,X0),X1,X6,X6)
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X1,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_480259,c_480892]) ).
tcf(c_499042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_m(crossbar(X2,X3,X1,X4,X5,X0),X1,crossbar(X2,X3,X1,X4,X5,X0))
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X1,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_480259,c_486468]) ).
tcf(c_499043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X1,crossbar(X2,X3,X1,X4,X5,X0))
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X1,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_480259,c_480184]) ).
tcf(c_499044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,crossbar(X2,X3,X1,X4,X5,X0),X1)
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X1,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_480259,c_480114]) ).
tcf(c_499045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X2,X3,X1,X4,X5,X0) = X1 )
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X1,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_480259,c_55]) ).
tcf(c_499046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( crossbar(crossbar(X0,X1,X2,X3,X4,X5),X2,X6,X7,X8,X6) = X6 )
| ~ s_t(X7,X8,X6)
| ~ s_t(X5,X2,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480259,c_480254]) ).
tcf(c_499047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X0,X1,X2,X4,X6,X3) = X2 )
| ( ext(crossbar(X0,X1,X2,X4,X6,X3),X2,X2,X5) = X5 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480259,c_480013]) ).
tcf(c_499048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X0,X1,X2,X4,X6,X3) = X2 )
| ( ext(crossbar(X0,X1,X2,X4,X6,X3),X2,X5,X2) = X5 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480259,c_480011]) ).
tcf(c_499049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( ip(crossbar(X1,X2,X3,X4,X5,X6),X3,X7,X0,crossbar(X1,X2,X3,X4,X5,X6)) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X6,X3,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480259,c_479924]) ).
tcf(c_499050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( ip(crossbar(X0,X1,X2,X4,X7,X3),X2,X6,X2,X5) = X2 )
| ~ s_t(X4,X7,X2)
| ~ s_t(X3,X2,X6)
| ~ s_t(X2,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480259,c_479914]) ).
tcf(c_499051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X5,crossbar(X0,X1,X2,X4,X6,X3),X2)
| ( crossbar(X0,X1,X2,X4,X6,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X6,X3) = X2 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480259,c_238]) ).
tcf(c_499052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X2,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ( crossbar(X0,X1,X2,X4,X6,X3) = xb )
| ( crossbar(X0,X1,X2,X4,X6,X3) = X2 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480259,c_237]) ).
tcf(c_499053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X2,X5,crossbar(X0,X1,X2,X4,X6,X3))
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480259,c_225]) ).
tcf(c_499054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,crossbar(X0,X1,X2,X4,X6,X3),X2)
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480259,c_224]) ).
tcf(c_499055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(crossbar(X0,X1,X2,X4,X6,X3),X2,X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480259,c_223]) ).
tcf(c_499056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X2 = X6 )
| ~ s_r(X7,X6,X2)
| ~ s_t(X5,X2,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_r(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_480259,c_184]) ).
tcf(c_499057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,crossbar(X0,X1,X2,X4,X6,X3),X5)
| s_t(crossbar(X0,X1,X2,X4,X6,X3),X7,X5)
| ( X2 = X5 )
| ~ s_t(X7,X2,X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480259,c_147]) ).
tcf(c_499058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X7,X2,crossbar(X0,X1,X2,X4,X6,X3))
| ( X2 = X5 )
| ( crossbar(X0,X1,X2,X4,X6,X3) = X2 )
| ~ sameside(X7,X2,X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480259,c_145]) ).
tcf(c_499059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X0,X1,X7)
| sameside(X0,X1,crossbar(X2,X3,X1,X4,X5,X6))
| ( X1 = X7 )
| ( X0 = X1 )
| ( crossbar(X2,X3,X1,X4,X5,X6) = X1 )
| ~ s_t(X6,X1,X7)
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X3,X1)
| ~ s_col(X0,X1,crossbar(X2,X3,X1,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480259,c_143]) ).
tcf(c_499060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ s_t(X5,X2,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_480259,c_133]) ).
tcf(c_499061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(crossbar(X0,X1,X2,X4,X6,X3),X2,X7)
| ( X2 = X7 )
| ( X2 = X5 )
| ( crossbar(X0,X1,X2,X4,X6,X3) = X2 )
| ~ s_t(X7,X2,X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480259,c_131]) ).
tcf(c_499062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,X2,X7)
| ( X2 = X7 )
| ( X2 = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X5,X2,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_480259,c_125]) ).
tcf(c_499063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2)
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6)
| ~ s_t(X5,X2,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480259,c_109]) ).
tcf(c_499064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X7,X6)
| s_t(X2,X6,X7)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X5,X2,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_480259,c_108]) ).
tcf(c_499065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X1,X2,X3,X4,X5),X7,X6)
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X5,X2,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_480259,c_107]) ).
tcf(c_499066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X1,X2,X4,X7,X3),X2,X6)
| ( X2 = X5 )
| ~ s_t(X4,X7,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X2,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480259,c_81]) ).
tcf(c_499067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X7)
| ~ s_t(X5,X2,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480259,c_80]) ).
tcf(c_499068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X1,X2,X4,X7,X3),X5,X6)
| ~ s_t(X4,X7,X2)
| ~ s_t(X3,X2,X6)
| ~ s_t(X2,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480259,c_79]) ).
tcf(c_499069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X1,X2,X4,X7,X3),X5,X6)
| ( X2 = X5 )
| ~ s_t(X4,X7,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X2,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480259,c_78]) ).
tcf(c_499070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X6,X7)
| ~ s_t(X5,X2,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480259,c_77]) ).
tcf(c_499071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X1,X2,X4,X7,X3),X2,X5)
| ~ s_t(X4,X7,X2)
| ~ s_t(X3,X2,X6)
| ~ s_t(X2,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480259,c_76]) ).
tcf(c_499072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X1,X2,X0,X3,X4,X5) = X0 )
| ~ s_t(X5,X0,X6)
| ~ s_t(X3,X4,X0)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X2,X0)
| ~ s_t(X0,crossbar(X1,X2,X0,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480259,c_75]) ).
tcf(c_499073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,X2,crossbar(X0,X1,X2,X4,X6,X3))
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480259,c_73]) ).
tcf(c_499074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(X2,X3,X1,X4,X5,X0) = X1 )
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,X1,ext(X1,crossbar(X2,X3,X1,X4,X5,X0),X6,X7)) ),
inference(superposition,[status(thm)],[c_480259,c_480090]) ).
tcf(c_499075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,X1,ext(X2,crossbar(X3,X4,X1,X5,X6,X0),X7,X8))
| ~ s_t(X5,X6,X1)
| ~ s_t(X3,X4,X1)
| ~ s_t(X3,X0,X5)
| ~ s_t(X0,X1,ext(X2,crossbar(X3,X4,X1,X5,X6,X0),X7,X8)) ),
inference(superposition,[status(thm)],[c_480259,c_480181]) ).
tcf(c_499076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,crossbar(X3,X4,X1,X5,X6,X0),X1)
| ~ s_t(X5,X6,X1)
| ~ s_t(X3,X4,X1)
| ~ s_t(X3,X0,X5)
| ~ s_t(X0,X1,ext(X2,crossbar(X3,X4,X1,X5,X6,X0),X7,X8)) ),
inference(superposition,[status(thm)],[c_480259,c_480111]) ).
tcf(c_499077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( crossbar(X5,X6,X1,X7,X8,X0) = X1 )
| ( ext(crossbar(X5,X6,X1,X7,X8,X0),X1,X3,X4) = ext(X2,X1,X3,X4) )
| ~ s_t(X7,X8,X1)
| ~ s_t(X5,X6,X1)
| ~ s_t(X5,X0,X7)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480259,c_480012]) ).
tcf(c_499079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ( crossbar(X0,X1,X2,X4,X6,X3) = X2 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480259,c_480255]) ).
tcf(c_499531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X6,crossbar(X1,X2,X3,X4,X5,X6),ip(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X3,X8))
| ~ s_t(X4,X5,X3)
| ~ s_t(X3,X8,X7)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_56,c_480260]) ).
tcf(c_499532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X6,crossbar(X1,X2,X3,X4,X5,X6),ip(X3,X8,X7,X0,crossbar(X1,X2,X3,X4,X5,X6)))
| ~ s_t(X4,X5,X3)
| ~ s_t(X3,X8,X7)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_57,c_480260]) ).
tcf(c_499534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X5,X3),crossbar(X0,X1,X2,X4,X5,X3))
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_74,c_480260]) ).
tcf(c_499535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X6,crossbar(X1,X2,X3,X4,X5,X6),crossbar(X0,X8,X3,X7,X9,crossbar(X1,X2,X3,X4,X5,X6)))
| ~ s_t(X7,X9,X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X8,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_87,c_480260]) ).
tcf(c_499536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X6,crossbar(X1,X2,X3,X4,X5,X6),crossbar(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X9,X3,X8))
| ~ s_t(X9,X3,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X8,X9)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_88,c_480260]) ).
tcf(c_499537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,crossbar(X2,X3,X4,X5,X6,X7),ext(ext(X4,crossbar(X2,X3,X4,X5,X6,X7),alpha,gamma),crossbar(X2,X3,X4,X5,X6,X7),X0,X1))
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,crossbar(X2,X3,X4,X5,X6,X7),X4) ),
inference(superposition,[status(thm)],[c_231,c_480260]) ).
tcf(c_499538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),ip(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X6,X9))
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_480205,c_480260]) ).
tcf(c_499539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),ip(X8,X2,X7,crossbar(X0,X1,X2,X3,X4,X5),X6))
| ~ s_t(X8,X2,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480074,c_480260]) ).
tcf(c_499540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),ip(X6,X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5)))
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_480206,c_480260]) ).
tcf(c_499541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),ip(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8,X2))
| ~ s_t(X8,X2,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480075,c_480260]) ).
tcf(c_499542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),crossbar(X7,X9,X6,X8,X10,crossbar(X0,X1,X2,X3,X4,X5)))
| ~ s_t(X8,X10,X6)
| ~ s_t(X7,X9,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_480256,c_480260]) ).
tcf(c_499543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X5,X3),X2)
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X2,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480259,c_480260]) ).
tcf(c_499631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(X0,X1,X2,X3,X4,X2) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X2,X2,X2)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480259,c_480261]) ).
tcf(c_499640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X0,X1,s(ext(X0,X1,X2,X3),X0),X4,X5,s(ext(X0,X1,X2,X3),X0)) = s(ext(X0,X1,X2,X3),X0) )
| ~ s_t(X4,X5,s(ext(X0,X1,X2,X3),X0))
| ~ s_t(X0,s(ext(X0,X1,X2,X3),X0),X4) ),
inference(superposition,[status(thm)],[c_495727,c_480254]) ).
tcf(c_499641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X1,s(ext(X0,X1,X2,X3),X0)) = s(ext(X0,X1,X2,X3),X0) ) ),
inference(superposition,[status(thm)],[c_495727,c_480013]) ).
tcf(c_499642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,s(ext(X0,X1,X2,X3),X0),X1) = s(ext(X0,X1,X2,X3),X0) ) ),
inference(superposition,[status(thm)],[c_495727,c_480011]) ).
tcf(c_499643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X1,X2,s(ext(X1,X2,X3,X4),X1),X0,X1) = X1 )
| ~ s_t(X0,X1,s(ext(X1,X2,X3,X4),X1)) ),
inference(superposition,[status(thm)],[c_495727,c_479924]) ).
tcf(c_499644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X2,X0,s(ext(X2,X0,X3,X4),X2),X0,X1) = X0 )
| ~ s_t(X0,X1,s(ext(X2,X0,X3,X4),X2)) ),
inference(superposition,[status(thm)],[c_495727,c_479914]) ).
tcf(c_499645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(ext(X0,X1,X2,X3),X0),X0,X1)
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_495727,c_238]) ).
tcf(c_499646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,X0,s(ext(X0,X1,X2,X3),X0))
| ( X0 = xb )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_495727,c_237]) ).
tcf(c_499647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,s(ext(X1,X0,X2,X3),X1),X1),
inference(superposition,[status(thm)],[c_495727,c_225]) ).
tcf(c_499648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(s(ext(X0,X1,X2,X3),X0),X0,X1),
inference(superposition,[status(thm)],[c_495727,c_224]) ).
tcf(c_499649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,X1,s(ext(X0,X1,X2,X3),X0)),
inference(superposition,[status(thm)],[c_495727,c_223]) ).
tcf(c_499650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X4 )
| ~ s_r(X0,X4,X1)
| ~ s_r(s(ext(X0,X1,X2,X3),X0),X4,X1) ),
inference(superposition,[status(thm)],[c_495727,c_184]) ).
tcf(c_499651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,s(ext(X2,X1,X3,X4),X2))
| s_t(X0,X2,s(ext(X2,X1,X3,X4),X2))
| ( s(ext(X2,X1,X3,X4),X2) = X1 )
| ~ s_t(X0,X1,s(ext(X2,X1,X3,X4),X2)) ),
inference(superposition,[status(thm)],[c_495727,c_147]) ).
tcf(c_499652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X2)
| ( X1 = X2 )
| ( s(ext(X2,X1,X3,X4),X2) = X1 )
| ~ sameside(X0,X1,s(ext(X2,X1,X3,X4),X2)) ),
inference(superposition,[status(thm)],[c_495727,c_145]) ).
tcf(c_499653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,s(ext(X2,X1,X3,X4),X2))
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(ext(X2,X1,X3,X4),X2) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_143]) ).
tcf(c_499654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ sameside(X0,X1,s(ext(X0,X1,X2,X3),X0)),
inference(superposition,[status(thm)],[c_495727,c_133]) ).
tcf(c_499655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(ext(X2,X1,X3,X4),X2) = X1 )
| ~ s_t(X0,X1,s(ext(X2,X1,X3,X4),X2)) ),
inference(superposition,[status(thm)],[c_495727,c_131]) ).
tcf(c_499656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,s(ext(X0,X1,X3,X4),X0))
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(ext(X0,X1,X3,X4),X0) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_125]) ).
tcf(c_499657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,X1)
| s_t(X0,X1,X2)
| ~ s_t(X0,X1,s(ext(X0,X2,X3,X4),X0)) ),
inference(superposition,[status(thm)],[c_495727,c_109]) ).
tcf(c_499658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,s(ext(X0,X1,X3,X4),X0))
| s_t(X1,s(ext(X0,X1,X3,X4),X0),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_108]) ).
tcf(c_499659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,s(ext(X0,X1,X3,X4),X0))
| s_t(X0,s(ext(X0,X1,X3,X4),X0),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_107]) ).
tcf(c_499660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,X4)
| ( s(ext(X1,X0,X2,X3),X1) = X0 )
| ~ s_t(X0,s(ext(X1,X0,X2,X3),X1),X4) ),
inference(superposition,[status(thm)],[c_495727,c_81]) ).
tcf(c_499661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X1,X4)
| ~ s_t(X0,s(ext(X0,X1,X2,X3),X0),X4) ),
inference(superposition,[status(thm)],[c_495727,c_80]) ).
tcf(c_499662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,s(ext(X2,X0,X3,X4),X2))
| ~ s_t(X0,X1,s(ext(X2,X0,X3,X4),X2)) ),
inference(superposition,[status(thm)],[c_495727,c_79]) ).
tcf(c_499663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,s(ext(X1,X0,X2,X3),X1),X4)
| ( s(ext(X1,X0,X2,X3),X1) = X0 )
| ~ s_t(X0,s(ext(X1,X0,X2,X3),X1),X4) ),
inference(superposition,[status(thm)],[c_495727,c_78]) ).
tcf(c_499664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,s(ext(X0,X1,X2,X3),X0),X4)
| ~ s_t(X0,s(ext(X0,X1,X2,X3),X0),X4) ),
inference(superposition,[status(thm)],[c_495727,c_77]) ).
tcf(c_499665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,X1)
| ~ s_t(X0,X1,s(ext(X2,X0,X3,X4),X2)) ),
inference(superposition,[status(thm)],[c_495727,c_76]) ).
tcf(c_499666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ~ s_t(X0,X1,s(ext(X1,X0,X2,X3),X1)) ),
inference(superposition,[status(thm)],[c_495727,c_75]) ).
tcf(c_499667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(s(ext(X0,X1,X2,X3),X0),X1,X0),
inference(superposition,[status(thm)],[c_495727,c_73]) ).
tcf(c_499668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_t(X0,X1,s(ext(X0,ext(X0,X1,X2,X3),X4,X5),X0)),
inference(superposition,[status(thm)],[c_495727,c_480204]) ).
tcf(c_499669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_t(X0,ext(X1,X0,X2,X3),s(ext(X1,ext(X1,X0,X2,X3),X4,X5),X1)),
inference(superposition,[status(thm)],[c_495727,c_480134]) ).
tcf(c_499670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,s(ext(X1,ext(X0,X1,X2,X3),X4,X5),X1))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_495727,c_480227]) ).
tcf(c_499671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(X0,X1,X2,X3),s(ext(X1,ext(X0,X1,X2,X3),X4,X5),X1))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_495727,c_480157]) ).
tcf(c_499672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),s(ext(ip(X0,X1,X2,X3,X4),X3,X5,X6),ip(X0,X1,X2,X3,X4)))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_480228]) ).
tcf(c_499673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X3,s(ext(ip(X0,X1,X2,X3,X4),X3,X5,X6),ip(X0,X1,X2,X3,X4)))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_480158]) ).
tcf(c_499674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),s(ext(ip(X0,X1,X2,X3,X4),X0,X5,X6),ip(X0,X1,X2,X3,X4)))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_480229]) ).
tcf(c_499675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X0,s(ext(ip(X0,X1,X2,X3,X4),X0,X5,X6),ip(X0,X1,X2,X3,X4)))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_480159]) ).
tcf(c_499676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X2,s(ext(crossbar(X0,X1,X2,X4,X5,X3),X2,X6,X7),crossbar(X0,X1,X2,X4,X5,X3)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_480258]) ).
tcf(c_499677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X5,X3),s(ext(crossbar(X0,X1,X2,X4,X5,X3),X2,X6,X7),crossbar(X0,X1,X2,X4,X5,X3)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_480255]) ).
tcf(c_499818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(X2,crossbar(X0,X1,X2,X4,X6,X3),X3,X5,X7,X3) = X3 )
| ~ s_t(X5,X7,X3)
| ~ s_t(X4,X6,X2)
| ~ s_t(X2,X3,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480262,c_480254]) ).
tcf(c_499819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( ext(X2,crossbar(X0,X1,X2,X4,X5,X3),crossbar(X0,X1,X2,X4,X5,X3),X3) = X3 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480262,c_480013]) ).
tcf(c_499820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( ext(X2,crossbar(X0,X1,X2,X4,X5,X3),X3,crossbar(X0,X1,X2,X4,X5,X3)) = X3 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480262,c_480011]) ).
tcf(c_499821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(X2,crossbar(X0,X1,X2,X4,X5,X3),X3,X6,X2) = X2 )
| ~ s_t(X6,X2,X3)
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480262,c_479924]) ).
tcf(c_499822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(X2,crossbar(X0,X1,X2,X3,X4,X5),X5,crossbar(X0,X1,X2,X3,X4,X5),X6) = crossbar(X0,X1,X2,X3,X4,X5) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X5) ),
inference(superposition,[status(thm)],[c_480262,c_479914]) ).
tcf(c_499823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,X2,crossbar(X0,X1,X2,X4,X5,X3))
| ( X2 = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480262,c_238]) ).
tcf(c_499824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(crossbar(X0,X1,X2,X4,X5,X3),X2,X3)
| ( X2 = xb )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480262,c_237]) ).
tcf(c_499825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(crossbar(X0,X1,X2,X4,X5,X3),X3,X2)
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480262,c_225]) ).
tcf(c_499826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X3,X2,crossbar(X0,X1,X2,X4,X5,X3))
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480262,c_224]) ).
tcf(c_499827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X2,crossbar(X0,X1,X2,X4,X5,X3),X3)
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480262,c_223]) ).
tcf(c_499829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X0,X6)
| s_t(X0,X3,X6)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X6) ),
inference(superposition,[status(thm)],[c_480262,c_147]) ).
tcf(c_499830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,crossbar(X1,X2,X3,X4,X5,X6),X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X6) ),
inference(superposition,[status(thm)],[c_480262,c_145]) ).
tcf(c_499831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X6)
| sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_col(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_480262,c_143]) ).
tcf(c_499832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ s_t(X3,X4,X0)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X2,X0)
| ~ sameside(X0,crossbar(X1,X2,X0,X3,X4,X5),X5) ),
inference(superposition,[status(thm)],[c_480262,c_133]) ).
tcf(c_499833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X3,crossbar(X1,X2,X3,X4,X5,X6),X0)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X6) ),
inference(superposition,[status(thm)],[c_480262,c_131]) ).
tcf(c_499834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,crossbar(X1,X2,X0,X3,X4,X5),X5)
| ( crossbar(X1,X2,X0,X3,X4,X5) = X6 )
| ( crossbar(X1,X2,X0,X3,X4,X5) = X5 )
| ( crossbar(X1,X2,X0,X3,X4,X5) = X0 )
| ~ s_t(X3,X4,X0)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X2,X0)
| ~ sameside(X0,crossbar(X1,X2,X0,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480262,c_125]) ).
tcf(c_499835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X5,crossbar(X0,X1,X2,X4,X6,X3))
| s_t(X2,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X2,X5,X3)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480262,c_109]) ).
tcf(c_499836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(crossbar(X1,X2,X0,X3,X4,X5),X6,X5)
| s_t(crossbar(X1,X2,X0,X3,X4,X5),X5,X6)
| ( crossbar(X1,X2,X0,X3,X4,X5) = X0 )
| ~ s_t(X3,X4,X0)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X2,X0)
| ~ s_t(X0,crossbar(X1,X2,X0,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480262,c_108]) ).
tcf(c_499837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X6,X5)
| s_t(X0,X5,X6)
| ( crossbar(X1,X2,X0,X3,X4,X5) = X0 )
| ~ s_t(X3,X4,X0)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X2,X0)
| ~ s_t(X0,crossbar(X1,X2,X0,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480262,c_107]) ).
tcf(c_499838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,crossbar(X0,X1,X2,X3,X4,X5),X6)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X5,X6) ),
inference(superposition,[status(thm)],[c_480262,c_81]) ).
tcf(c_499839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X2,X3,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480262,c_80]) ).
tcf(c_499840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X6,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X5) ),
inference(superposition,[status(thm)],[c_480262,c_79]) ).
tcf(c_499841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X5,X6)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X5,X6) ),
inference(superposition,[status(thm)],[c_480262,c_78]) ).
tcf(c_499842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(crossbar(X0,X1,X2,X4,X6,X3),X3,X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X2,X3,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480262,c_77]) ).
tcf(c_499843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,crossbar(X0,X1,X2,X3,X4,X5),X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X5) ),
inference(superposition,[status(thm)],[c_480262,c_76]) ).
tcf(c_499844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X5) ),
inference(superposition,[status(thm)],[c_480262,c_75]) ).
tcf(c_499846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,crossbar(X0,X6,X2,X5,X7,ext(X1,X2,X3,X4)),ext(X1,X2,X3,X4))
| ~ s_t(X5,X7,X2)
| ~ s_t(X0,X6,X2)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480262,c_480181]) ).
tcf(c_499847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X2,crossbar(X0,X6,X2,X5,X7,ext(X1,X2,X3,X4)))
| ~ s_t(X5,X7,X2)
| ~ s_t(X0,X6,X2)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480262,c_480111]) ).
tcf(c_499848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,crossbar(X0,X1,ip(X2,X3,X4,X5,X6),X7,X8,X5),X5)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X7)
| ~ s_t(X7,X8,ip(X2,X3,X4,X5,X6))
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480262,c_480182]) ).
tcf(c_499849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,ip(X2,X3,X4,X5,X6),crossbar(X0,X1,ip(X2,X3,X4,X5,X6),X7,X8,X5))
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X7)
| ~ s_t(X7,X8,ip(X2,X3,X4,X5,X6))
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480262,c_480112]) ).
tcf(c_499850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X6,crossbar(X0,X1,ip(X2,X3,X4,X5,X6),X7,X8,X2),X2)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X2,X7)
| ~ s_t(X7,X8,ip(X2,X3,X4,X5,X6))
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480262,c_480183]) ).
tcf(c_499851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X6,ip(X2,X3,X4,X5,X6),crossbar(X0,X1,ip(X2,X3,X4,X5,X6),X7,X8,X2))
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X2,X7)
| ~ s_t(X7,X8,ip(X2,X3,X4,X5,X6))
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480262,c_480113]) ).
tcf(c_499852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X7,crossbar(X2,X3,X4,X5,X6,X7),crossbar(X0,X1,crossbar(X2,X3,X4,X5,X6,X7),X8,X9,X4))
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X4,X8)
| ~ s_t(X8,X9,crossbar(X2,X3,X4,X5,X6,X7))
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480262,c_480260]) ).
tcf(c_499853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X7,crossbar(X0,X1,crossbar(X2,X3,X4,X5,X6,X7),X8,X9,X4),X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X4,X8)
| ~ s_t(X8,X9,crossbar(X2,X3,X4,X5,X6,X7))
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480262,c_480257]) ).
tcf(c_500247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X2,X1,ext(X2,X1,X3,X4),X0,X1,X5) = X1 )
| ~ s_t(X2,X5,X0)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_52,c_480316]) ).
tcf(c_500248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X2,ip(X1,X2,X3,X4,X5),X4,X0,ip(X1,X2,X3,X4,X5),X6) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X0)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_56,c_480316]) ).
tcf(c_500249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X5,ip(X1,X2,X3,X4,X5),X1,X0,ip(X1,X2,X3,X4,X5),X6) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X5,X6,X0)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_57,c_480316]) ).
tcf(c_500250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(X0,X3,X3,X2,X3,X1) = X3 )
| ~ s_t(X2,X3,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_480316]) ).
tcf(c_500251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(X0,X0,X3,X2,X0,X1) = X0 )
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_74,c_480316]) ).
tcf(c_500252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(X6,crossbar(X1,X2,X3,X4,X5,X6),X3,X0,crossbar(X1,X2,X3,X4,X5,X6),X7) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X6,X7,X0)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_87,c_480316]) ).
tcf(c_500253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(X2,crossbar(X1,X2,X3,X4,X5,X6),X5,X0,crossbar(X1,X2,X3,X4,X5,X6),X7) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X7,X0)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_88,c_480316]) ).
tcf(c_500254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X4,X1,ins(X2,X3,X4,X1),X0,X1,X5) = X1 )
| ~ s_t(X4,X5,X0)
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_110,c_480316]) ).
tcf(c_500255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(X2,X1,c63(X2,X1,X3),X0,X1,X4) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X2,X4,X0)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_129,c_480316]) ).
tcf(c_500256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(X3,X1,c63(X2,X1,X3),X0,X1,X4) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X3,X4,X0)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_130,c_480316]) ).
tcf(c_500257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(s(X1,X4),s(X1,X2),s(X1,X3),X0,s(X1,X2),X5) = s(X1,X2) )
| ~ s_t(X4,X2,X3)
| ~ s_t(s(X1,X4),X5,X0)
| ~ s_t(X0,s(X1,X2),s(X1,X3)) ),
inference(superposition,[status(thm)],[c_167,c_480316]) ).
tcf(c_500258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X2,ext(ext(X1,X2,alpha,gamma),X2,X3,X4),X1,X0,ext(ext(X1,X2,alpha,gamma),X2,X3,X4),X5) = ext(ext(X1,X2,alpha,gamma),X2,X3,X4) )
| ~ s_t(X2,X5,X0)
| ~ le(X3,X4,X2,X1)
| ~ s_t(X0,ext(ext(X1,X2,alpha,gamma),X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_231,c_480316]) ).
tcf(c_500259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(ext(X0,X1,X2,X3),X1,X0,X5,X1,X4) = X1 )
| ~ s_t(X5,X1,X0)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480073,c_480316]) ).
tcf(c_500260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(X2,X1,s(X1,X2),X0,X1,X3) = X1 )
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_485940,c_480316]) ).
tcf(c_500261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(s(X0,X1),X0,X1,X3,X0,X2) = X0 )
| ~ s_t(X3,X0,X1)
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_485941,c_480316]) ).
tcf(c_500262,plain,
! [X0: $i,X1: $i] :
( s_t(sK1,sK2,sK3)
| s_t(sK0,sK1,sK3)
| s_t(sK0,sK1,sK2)
| ( crossbar(sK2,sK3,sK1,X1,sK3,X0) = sK3 )
| ~ s_t(X1,sK3,sK1)
| ~ s_t(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_30027,c_480316]) ).
tcf(c_500263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(X2,ip(X1,X2,X3,X4,X5),X6,X0,ip(X1,X2,X3,X4,X5),X7) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X7,X0)
| ~ s_t(X2,X4,X6)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480205,c_480316]) ).
tcf(c_500264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(ip(X0,X1,X2,X3,X4),X3,X7,X6,X3,X5) = X3 )
| ~ s_t(X6,X3,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X7)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480135,c_480316]) ).
tcf(c_500265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X4,ip(X1,X2,X3,X4,X5),X2,X0,ip(X1,X2,X3,X4,X5),X6) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X4,X6,X0)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X2) ),
inference(superposition,[status(thm)],[c_480074,c_480316]) ).
tcf(c_500266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(X5,ip(X1,X2,X3,X4,X5),X6,X0,ip(X1,X2,X3,X4,X5),X7) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X5,X7,X0)
| ~ s_t(X5,X1,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480206,c_480316]) ).
tcf(c_500267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(ip(X0,X1,X2,X3,X4),X0,X7,X6,X0,X5) = X0 )
| ~ s_t(X6,X0,X7)
| ~ s_t(X4,X0,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480136,c_480316]) ).
tcf(c_500268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X1,ip(X1,X2,X3,X4,X5),X5,X0,ip(X1,X2,X3,X4,X5),X6) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X0)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X5) ),
inference(superposition,[status(thm)],[c_480075,c_480316]) ).
tcf(c_500269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( crossbar(X6,crossbar(X1,X2,X3,X4,X5,X6),X7,X0,crossbar(X1,X2,X3,X4,X5,X6),X8) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X6,X8,X0)
| ~ s_t(X6,X3,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480256,c_480316]) ).
tcf(c_500270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( crossbar(crossbar(X0,X1,X2,X3,X4,X5),X2,X8,X7,X2,X6) = X2 )
| ~ s_t(X7,X2,X8)
| ~ s_t(X5,X2,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480259,c_480316]) ).
tcf(c_500271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(X3,crossbar(X1,X2,X3,X4,X5,X6),X6,X0,crossbar(X1,X2,X3,X4,X5,X6),X7) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X3,X7,X0)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X6) ),
inference(superposition,[status(thm)],[c_480262,c_480316]) ).
tcf(c_500272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X2,X1,s(ext(X2,X1,X3,X4),X2),X0,X1,X5) = X1 )
| ~ s_t(X2,X5,X0)
| ~ s_t(X0,X1,s(ext(X2,X1,X3,X4),X2)) ),
inference(superposition,[status(thm)],[c_495727,c_480316]) ).
tcf(c_500276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(X0,X3,X3,X2,X3,X1) = X3 )
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_500250,c_72]) ).
tcf(c_500454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),ext(crossbar(X0,X1,X2,X4,X5,X3),X5,X6,X7))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_480317]) ).
tcf(c_500455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_480317]) ).
tcf(c_500456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),ins(X6,X7,crossbar(X0,X1,X2,X3,X4,X5),X4))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ le(crossbar(X0,X1,X2,X3,X4,X5),X4,X6,X7) ),
inference(superposition,[status(thm)],[c_110,c_480317]) ).
tcf(c_500457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),c63(crossbar(X0,X1,X2,X3,X4,X5),X4,X6))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_129,c_480317]) ).
tcf(c_500458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,crossbar(X2,X3,X4,X5,X1,X6),c63(X0,X1,crossbar(X2,X3,X4,X5,X1,X6)))
| ( crossbar(X2,X3,X4,X5,X1,X6) = X1 )
| ~ s_t(X5,X1,X4)
| ~ s_t(X2,X6,X5)
| ~ s_t(X2,X3,X4)
| ~ sameside(X0,X1,crossbar(X2,X3,X4,X5,X1,X6)) ),
inference(superposition,[status(thm)],[c_130,c_480317]) ).
tcf(c_500459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),s(X5,crossbar(X0,X1,X2,X4,X5,X3)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_480317]) ).
tcf(c_500460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X2,X3),X5)
| ( crossbar(X0,X1,X2,X4,X2,X3) = X2 )
| ~ s_t(X4,X2,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480259,c_480317]) ).
tcf(c_500461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),s(ext(crossbar(X0,X1,X2,X4,X5,X3),X5,X6,X7),crossbar(X0,X1,X2,X4,X5,X3)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_480317]) ).
tcf(c_500467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X2,X3),X5)
| ( crossbar(X0,X1,X2,X4,X2,X3) = X2 )
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_500460,c_72]) ).
tcf(c_500532,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X1,X0,X2)
| ~ s_m(X0,X1,X2)
| ~ s_t(X1,X2,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_497176,c_480055]) ).
tcf(c_500533,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X1,X2)
| ~ s_m(X0,X2,X1)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_497176,c_479987]) ).
tcf(c_500534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X4,X1)
| ( X0 = X2 )
| ~ s_m(X0,X1,X2)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X2,X4)
| ~ s_e(X0,X3,X2,X4)
| ~ s_e(X0,X1,X2,X1) ),
inference(superposition,[status(thm)],[c_497176,c_479886]) ).
tcf(c_500535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X1,X6,X2)
| ~ s_m(X4,X0,X3)
| ~ s_t(X4,X6,X0)
| ~ s_t(X3,X5,X0)
| ~ s_e(X5,X0,X6,X0)
| ~ s_e(X3,X1,X4,X2)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_497176,c_2500]) ).
tcf(c_500536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X3,X1,X0,X2)
| ~ s_m(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_497176,c_233]) ).
tcf(c_500538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X4,X3)
| ~ s_m(X2,X4,X0)
| ~ sameside(X4,X2,X3)
| ~ sameside(X4,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_497176,c_154]) ).
tcf(c_500539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = X3 )
| ( X1 = X3 )
| ( X0 = X4 )
| ~ s_m(X2,X3,X0)
| ~ sameside(X3,X0,X4)
| ~ sameside(X1,X0,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_497176,c_140]) ).
tcf(c_500540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X6,X5,X2,X3)
| ~ s_m(X6,X5,X4)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_497176,c_114]) ).
tcf(c_500541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X3,X2)
| ~ s_m(X3,X2,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_497176,c_113]) ).
tcf(c_500542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,ext(ext(X2,X3,alpha,gamma),X3,X0,X1),X2)
| ~ s_m(X3,X2,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_497176,c_91]) ).
tcf(c_500543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X0,X3,X2)
| ~ s_m(X3,X1,X4)
| ~ s_t(X4,X0,X1)
| ~ s_t(X3,X2,X1)
| ~ s_e(X0,X1,X2,X1) ),
inference(superposition,[status(thm)],[c_497176,c_90]) ).
tcf(c_500544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X2,X0)
| ~ s_m(X3,X0,X4)
| ~ s_t(X4,X0,X1)
| ~ s_t(X2,X3,X0)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_497176,c_71]) ).
tcf(c_500546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X3,X2) = X2 )
| ~ s_m(X3,X2,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_497176,c_68]) ).
tcf(c_500547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X3,X2)
| ~ s_m(X3,X0,X4)
| ~ s_t(X4,X0,X1)
| ~ s_t(X3,X0,X2)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_497176,c_67]) ).
tcf(c_500552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X3,X1,X4,X2)
| ( X0 = X5 )
| ~ s_m(X6,X0,X5)
| ~ s_t(X6,X0,X4)
| ~ s_t(X5,X0,X3)
| ~ s_e(X5,X1,X6,X2)
| ~ s_e(X0,X3,X0,X4)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_497176,c_54]) ).
tcf(c_500569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X2,X1,X2)
| ~ s_m(s(X0,X1),s(X0,X2),s(X0,X3)) ),
inference(superposition,[status(thm)],[c_497176,c_170]) ).
tcf(c_500570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X4,X0,ext(X1,X2,X3,X4))
| ~ s_m(X0,ext(X1,X2,X3,X4),X2) ),
inference(superposition,[status(thm)],[c_497176,c_479867]) ).
tcf(c_500571,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X2,X0,X1)
| ~ s_m(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_497176,c_479966]) ).
tcf(c_500572,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X1,X0,X2)
| ~ s_m(X0,X1,X1)
| ~ s_t(X2,X1,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_497176,c_480053]) ).
tcf(c_500573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X4,X2,X4)
| ~ s_t(X2,X3,X4)
| ~ s_m(X3,X4,ext(X1,X0,X2,X3))
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_497176,c_479988]) ).
tcf(c_500574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X4,X6,X5,X6)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X2,X3,X5)
| ~ s_e(X1,X6,X2,X6)
| ~ s_m(X3,X6,ext(X0,X1,X2,X3))
| ~ s_t(X1,ext(X0,X1,X2,X3),X4)
| ~ s_e(ext(X0,X1,X2,X3),X4,X3,X5) ),
inference(superposition,[status(thm)],[c_497176,c_479887]) ).
tcf(c_500575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X2,X4,X3)
| ~ s_t(X4,X2,X3)
| ~ s_m(X4,X2,ext(X1,X0,X2,X3))
| ~ s_t(X0,ext(X1,X0,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_497176,c_480054]) ).
tcf(c_500588,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X1,X0,X2)
| ~ s_m(X0,X1,X1)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_500572,c_72]) ).
tcf(c_500714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X1)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_480892]) ).
tcf(c_500715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_m(X1,crossbar(X0,X1,X2,X4,X5,X3),X1)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X1)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_486468]) ).
tcf(c_500716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,crossbar(X0,X1,X2,X4,X5,X3),X1)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X1)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_480184]) ).
tcf(c_500717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X1,crossbar(X0,X1,X2,X4,X5,X3))
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X1)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_480114]) ).
tcf(c_500718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X1)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_55]) ).
tcf(c_500719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( crossbar(X2,crossbar(X1,X2,X3,X4,X5,X6),X7,X0,crossbar(X1,X2,X3,X4,X5,X6),X8) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X8,X0)
| ~ s_t(X2,X5,X7)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480318,c_480316]) ).
tcf(c_500720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( crossbar(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,X7,X8,X6) = X6 )
| ~ s_t(X7,X8,X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X6,X7)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_480254]) ).
tcf(c_500721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( ext(X1,crossbar(X0,X1,X2,X4,X5,X3),crossbar(X0,X1,X2,X4,X5,X3),X6) = X6 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_480013]) ).
tcf(c_500722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( ext(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,crossbar(X0,X1,X2,X4,X5,X3)) = X6 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_480011]) ).
tcf(c_500723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( ip(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,X7,X1) = X1 )
| ~ s_t(X7,X1,X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_479924]) ).
tcf(c_500724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( ip(X1,crossbar(X0,X1,X2,X3,X4,X5),X7,crossbar(X0,X1,X2,X3,X4,X5),X6) = crossbar(X0,X1,X2,X3,X4,X5) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X4,X7)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480318,c_479914]) ).
tcf(c_500725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X6,X1,crossbar(X0,X1,X2,X4,X5,X3))
| ( X1 = X6 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_238]) ).
tcf(c_500726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(crossbar(X0,X1,X2,X4,X5,X3),X1,X6)
| ( X1 = xb )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_237]) ).
tcf(c_500727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(crossbar(X0,X1,X2,X4,X5,X3),X6,X1)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_225]) ).
tcf(c_500728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X6,X1,crossbar(X0,X1,X2,X4,X5,X3))
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_224]) ).
tcf(c_500729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X1,crossbar(X0,X1,X2,X4,X5,X3),X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_223]) ).
tcf(c_500730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(X2,X0,X3,X4,X5,X6) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X5,X7)
| ~ s_r(X7,X1,crossbar(X2,X0,X3,X4,X5,X6))
| ~ s_r(X0,X1,crossbar(X2,X0,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480318,c_184]) ).
tcf(c_500731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X0,X7)
| s_t(X0,X2,X7)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X7 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X5,X7)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480318,c_147]) ).
tcf(c_500732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,crossbar(X1,X2,X3,X4,X5,X6),X2)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X7 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X5,X7)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480318,c_145]) ).
tcf(c_500733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7)
| sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X2)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X7 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X5,X7)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_col(X0,crossbar(X1,X2,X3,X4,X5,X6),X2) ),
inference(superposition,[status(thm)],[c_480318,c_143]) ).
tcf(c_500734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X4,X6)
| ~ sameside(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480318,c_133]) ).
tcf(c_500735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X2,crossbar(X1,X2,X3,X4,X5,X6),X0)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X7 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X5,X7)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480318,c_131]) ).
tcf(c_500736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,crossbar(X1,X0,X2,X3,X4,X5),X7)
| ( crossbar(X1,X0,X2,X3,X4,X5) = X7 )
| ( crossbar(X1,X0,X2,X3,X4,X5) = X6 )
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X4,X7)
| ~ sameside(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480318,c_125]) ).
tcf(c_500737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X7,crossbar(X0,X1,X2,X4,X5,X3))
| s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),X7)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X7,X6)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_109]) ).
tcf(c_500738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X1,X0,X2,X3,X4,X5),X7,X6)
| s_t(crossbar(X1,X0,X2,X3,X4,X5),X6,X7)
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X4,X7)
| ~ s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480318,c_108]) ).
tcf(c_500739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X7,X6)
| s_t(X0,X6,X7)
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X4,X7)
| ~ s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480318,c_107]) ).
tcf(c_500740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),X7)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X4,X6)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480318,c_81]) ).
tcf(c_500741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),X7)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X6,X7)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_80]) ).
tcf(c_500742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X6,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X4,X7)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480318,c_79]) ).
tcf(c_500743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X6,X7)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X4,X6)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480318,c_78]) ).
tcf(c_500744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X1,X2,X4,X5,X3),X6,X7)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X6,X7)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_77]) ).
tcf(c_500745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X4,X7)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480318,c_76]) ).
tcf(c_500746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X0,X1,X2,X3,X4,X5) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X4,X6)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X1,X6) ),
inference(superposition,[status(thm)],[c_480318,c_75]) ).
tcf(c_500747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,crossbar(X0,X1,X2,X4,X5,X3),X1)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_73]) ).
tcf(c_500748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(X2,X0,X3,X4,X1,X5) = X0 )
| ~ s_t(X4,X1,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,ext(crossbar(X2,X0,X3,X4,X1,X5),X0,X6,X7)) ),
inference(superposition,[status(thm)],[c_480318,c_480090]) ).
tcf(c_500749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,crossbar(X5,X0,X6,X8,X1,X7),ext(X2,X0,X3,X4))
| ~ s_t(X8,X1,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480318,c_480181]) ).
tcf(c_500750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,X0,crossbar(X5,X0,X6,X8,X1,X7))
| ~ s_t(X8,X1,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480318,c_480111]) ).
tcf(c_500751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,crossbar(X6,ip(X0,X1,X2,X3,X4),X7,X9,X5,X8),X3)
| ~ s_t(X9,X5,X7)
| ~ s_t(X6,X8,X9)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_480318,c_480182]) ).
tcf(c_500752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),crossbar(X6,ip(X0,X1,X2,X3,X4),X7,X9,X5,X8))
| ~ s_t(X9,X5,X7)
| ~ s_t(X6,X8,X9)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_480318,c_480112]) ).
tcf(c_500753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X4,crossbar(X6,ip(X0,X1,X2,X3,X4),X7,X9,X5,X8),X0)
| ~ s_t(X9,X5,X7)
| ~ s_t(X6,X8,X9)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_480318,c_480183]) ).
tcf(c_500754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),crossbar(X6,ip(X0,X1,X2,X3,X4),X7,X9,X5,X8))
| ~ s_t(X9,X5,X7)
| ~ s_t(X6,X8,X9)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_480318,c_480113]) ).
tcf(c_500755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( crossbar(X3,X0,X4,X5,X1,X6) = X0 )
| ( ext(X0,crossbar(X3,X0,X4,X5,X1,X6),X7,X8) = ext(X2,crossbar(X3,X0,X4,X5,X1,X6),X7,X8) )
| ~ s_t(X5,X1,X4)
| ~ s_t(X3,X6,X5)
| ~ s_t(X3,X0,X4)
| ~ s_t(X0,X1,ext(X2,crossbar(X3,X0,X4,X5,X1,X6),X7,X8)) ),
inference(superposition,[status(thm)],[c_480318,c_480012]) ).
tcf(c_500756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),crossbar(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X10,X6,X9))
| ~ s_t(X10,X6,X8)
| ~ s_t(X7,X9,X10)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_480318,c_480260]) ).
tcf(c_500757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X5,crossbar(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X10,X6,X9),X2)
| ~ s_t(X10,X6,X8)
| ~ s_t(X7,X9,X10)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_480318,c_480257]) ).
tcf(c_501177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,ip(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X5,X8),X5)
| ~ s_t(X5,X8,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_56,c_480319]) ).
tcf(c_501178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,ip(X5,X8,X7,X0,crossbar(X1,X2,X3,X4,X5,X6)),X5)
| ~ s_t(X5,X8,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_57,c_480319]) ).
tcf(c_501179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,X5)
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_480319]) ).
tcf(c_501181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X2,crossbar(X0,X8,X5,X7,X9,crossbar(X1,X2,X3,X4,X5,X6)),X5)
| ~ s_t(X7,X9,X5)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X8,X5)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_87,c_480319]) ).
tcf(c_501182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X2,crossbar(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X9,X5,X8),X5)
| ~ s_t(X9,X5,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X8,X9)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_88,c_480319]) ).
tcf(c_501183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,ext(ext(X6,crossbar(X2,X3,X4,X5,X6,X7),alpha,gamma),crossbar(X2,X3,X4,X5,X6,X7),X0,X1),X6)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,crossbar(X2,X3,X4,X5,X6,X7),X6) ),
inference(superposition,[status(thm)],[c_231,c_480319]) ).
tcf(c_501184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,ip(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X6,X9),X4)
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_480205,c_480319]) ).
tcf(c_501185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ip(X8,X4,X7,crossbar(X0,X1,X2,X3,X4,X5),X6),X4)
| ~ s_t(X8,X4,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480074,c_480319]) ).
tcf(c_501186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,ip(X6,X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5)),X4)
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_480206,c_480319]) ).
tcf(c_501187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ip(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8,X4),X4)
| ~ s_t(X8,X4,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480075,c_480319]) ).
tcf(c_501188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X1,crossbar(X7,X9,X6,X8,X10,crossbar(X0,X1,X2,X3,X4,X5)),X4)
| ~ s_t(X8,X10,X6)
| ~ s_t(X7,X9,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_480256,c_480319]) ).
tcf(c_501189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,X5)
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480259,c_480319]) ).
tcf(c_501190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X3,crossbar(X0,X1,crossbar(X2,X3,X4,X5,X6,X7),X8,X9,X6),X6)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X6,X8)
| ~ s_t(X8,X9,crossbar(X2,X3,X4,X5,X6,X7))
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480262,c_480319]) ).
tcf(c_501191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X1,crossbar(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X10,X6,X9),X4)
| ~ s_t(X10,X6,X8)
| ~ s_t(X7,X9,X10)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_480318,c_480319]) ).
tcf(c_501301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X5,ext(crossbar(X0,X1,X2,X4,X5,X3),X5,X6,X7))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_480320]) ).
tcf(c_501302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_480320]) ).
tcf(c_501303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X4,ins(X6,X7,crossbar(X0,X1,X2,X3,X4,X5),X4))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ le(crossbar(X0,X1,X2,X3,X4,X5),X4,X6,X7) ),
inference(superposition,[status(thm)],[c_110,c_480320]) ).
tcf(c_501304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X4,c63(crossbar(X0,X1,X2,X3,X4,X5),X4,X6))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_129,c_480320]) ).
tcf(c_501305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X1,c63(X0,X1,crossbar(X2,X3,X4,X5,X1,X6)))
| ( crossbar(X2,X3,X4,X5,X1,X6) = X1 )
| ~ s_t(X5,X1,X4)
| ~ s_t(X2,X6,X5)
| ~ s_t(X2,X3,X4)
| ~ sameside(X0,X1,crossbar(X2,X3,X4,X5,X1,X6)) ),
inference(superposition,[status(thm)],[c_130,c_480320]) ).
tcf(c_501306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,s(X5,crossbar(X0,X1,X2,X4,X5,X3)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_480320]) ).
tcf(c_501307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,X5)
| ( crossbar(X0,X1,X2,X4,X2,X3) = X2 )
| ~ s_t(X4,X2,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480259,c_480320]) ).
tcf(c_501308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X5,s(ext(crossbar(X0,X1,X2,X4,X5,X3),X5,X6,X7),crossbar(X0,X1,X2,X4,X5,X3)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_480320]) ).
tcf(c_501309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,X5)
| ( crossbar(X0,X1,X2,X4,X2,X3) = X2 )
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_501307,c_72]) ).
tcf(c_501364,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X2,X1)
| ~ s_m(X0,X2,X1)
| ~ s_t(X2,X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_497526,c_480055]) ).
tcf(c_501365,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X0,X1,X2)
| ~ s_m(X2,X0,X1)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_497526,c_479987]) ).
tcf(c_501366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X0,X4,X2)
| ( X0 = X1 )
| ~ s_m(X2,X0,X1)
| ~ s_t(X1,X0,X3)
| ~ s_t(X0,X1,X4)
| ~ s_e(X0,X3,X1,X4)
| ~ s_e(X0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_497526,c_479886]) ).
tcf(c_501367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X1,X6,X3)
| ~ s_m(X2,X0,X4)
| ~ s_t(X4,X5,X0)
| ~ s_t(X0,X6,X2)
| ~ s_e(X5,X0,X6,X2)
| ~ s_e(X4,X1,X0,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_497526,c_2500]) ).
tcf(c_501368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X3,X0,X0,X2)
| ~ s_m(X1,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_497526,c_233]) ).
tcf(c_501369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(X2,X3,X0)
| s_col(X2,X0,X0)
| ( X0 = X1 )
| ~ s_m(X1,X0,X2)
| ~ s_col(X2,X3,X0)
| ~ s_col(X0,X3,X1)
| ~ s_e(X0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_497526,c_175]) ).
tcf(c_501370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X1,X4,X3)
| ~ s_m(X4,X2,X0)
| ~ sameside(X4,X2,X3)
| ~ sameside(X2,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_497526,c_154]) ).
tcf(c_501371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = X3 )
| ( X1 = X2 )
| ( X0 = X4 )
| ~ s_m(X3,X2,X0)
| ~ sameside(X2,X0,X4)
| ~ sameside(X1,X0,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_497526,c_140]) ).
tcf(c_501372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X5,X6,X2,X3)
| ~ s_m(X6,X5,X4)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_497526,c_114]) ).
tcf(c_501373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X2,X3)
| ~ s_m(X3,X2,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_497526,c_113]) ).
tcf(c_501374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ s_m(X3,X2,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_497526,c_91]) ).
tcf(c_501375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X0,X1,X2)
| ~ s_m(X3,X1,X4)
| ~ s_t(X4,X0,X1)
| ~ s_t(X1,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_497526,c_90]) ).
tcf(c_501376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X2,X4)
| ~ s_m(X4,X0,X3)
| ~ s_t(X3,X0,X1)
| ~ s_t(X2,X0,X4)
| ~ s_e(X0,X1,X2,X0) ),
inference(superposition,[status(thm)],[c_497526,c_71]) ).
tcf(c_501378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X2 )
| ~ s_m(X3,X2,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_497526,c_68]) ).
tcf(c_501379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X0,X3)
| ~ s_m(X2,X0,X4)
| ~ s_t(X4,X0,X1)
| ~ s_t(X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_497526,c_67]) ).
tcf(c_501384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X4,X1,X5,X3)
| ( X0 = X6 )
| ~ s_m(X2,X0,X6)
| ~ s_t(X6,X0,X4)
| ~ s_t(X0,X2,X5)
| ~ s_e(X6,X1,X0,X3)
| ~ s_e(X0,X4,X2,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_497526,c_54]) ).
tcf(c_501387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,X4)
| ~ s_m(X3,X0,X0)
| ~ s_m(X1,X5,X2)
| ~ s_m(X0,X4,X3)
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X0,X0)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_497526,c_178]) ).
tcf(c_501388,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,X0,X2)
| ~ s_m(X2,X1,X1)
| ~ s_t(X0,X1,X2)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_497526,c_479989]) ).
tcf(c_501389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X4,X2)
| ( X0 = X1 )
| ~ s_m(X2,X1,X1)
| ~ s_t(X1,X0,X4)
| ~ s_t(X1,X0,X3)
| ~ s_e(X0,X3,X0,X4)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_497526,c_479928]) ).
tcf(c_501390,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_m(X2,X1,X1)
| ~ s_m(X2,X0,X1)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_497526,c_297643]) ).
tcf(c_501391,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_m(X2,X1,X1)
| ~ s_m(X1,X0,X2)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_497526,c_297638]) ).
tcf(c_501392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X1,X2,X3)
| ( X0 = X1 )
| ~ s_m(X3,X1,X1)
| ~ s_m(X3,X0,X1)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_497526,c_86598]) ).
tcf(c_501393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X1,X2,X3)
| ( X0 = X1 )
| ~ s_m(X3,X1,X1)
| ~ s_m(X1,X0,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_497526,c_86593]) ).
tcf(c_501394,plain,
! [X0: $i,X1: $i] :
( s_m(X0,X0,X1)
| ~ s_m(X1,X0,X0)
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_497526,c_241]) ).
tcf(c_501395,plain,
! [X0: $i,X1: $i] :
( s_m(X1,isomidpoint(X1,X0,X1),X0)
| ~ s_m(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_497526,c_179]) ).
tcf(c_501396,plain,
! [X0: $i,X1: $i] :
( s_m(X0,X0,X1)
| ( X0 = X1 )
| ~ s_m(X1,X0,X0)
| ~ s_col(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_497526,c_174]) ).
tcf(c_501397,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ s_m(X1,X0,X0)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_497526,c_122]) ).
tcf(c_501398,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_m(X2,X1,X1)
| ~ s_t(X1,X1,X0)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_497526,c_106]) ).
tcf(c_501399,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = X1 )
| ~ s_m(X2,X1,X1)
| ~ s_col(X1,X0,X1)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_497526,c_105]) ).
tcf(c_501400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X3,X2)
| ( X0 = X1 )
| ~ s_m(X2,X1,X1)
| ~ s_col(X1,X0,X3)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_497526,c_104]) ).
tcf(c_501401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X2,X2,X1)
| ~ s_m(s(X0,X1),s(X0,X2),s(X0,X3)) ),
inference(superposition,[status(thm)],[c_497526,c_170]) ).
tcf(c_501402,plain,
! [X0: $i,X1: $i] :
( s_r(X1,X0,X1)
| ~ s_m(s(X0,X1),X1,X1) ),
inference(superposition,[status(thm)],[c_497526,c_250]) ).
tcf(c_501403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X4,ext(X1,X2,X3,X4),X0)
| ~ s_m(X0,ext(X1,X2,X3,X4),X2) ),
inference(superposition,[status(thm)],[c_497526,c_479867]) ).
tcf(c_501406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X3,X2,X4)
| ~ s_t(X2,X3,X4)
| ~ s_m(X4,X3,ext(X1,X0,X2,X3))
| ~ s_t(X0,ext(X1,X0,X2,X3),X3) ),
inference(superposition,[status(thm)],[c_497526,c_479988]) ).
tcf(c_501407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X4,X3,X5,X6)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X2,X3,X5)
| ~ s_e(X1,X3,X2,X6)
| ~ s_m(X6,X3,ext(X0,X1,X2,X3))
| ~ s_t(X1,ext(X0,X1,X2,X3),X4)
| ~ s_e(ext(X0,X1,X2,X3),X4,X3,X5) ),
inference(superposition,[status(thm)],[c_497526,c_479887]) ).
tcf(c_501408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X4,X4,X3)
| ~ s_t(X4,X2,X3)
| ~ s_m(X2,X4,ext(X1,X0,X2,X3))
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_497526,c_480054]) ).
tcf(c_501416,plain,
! [X0: $i,X1: $i] :
( s_m(X1,X1,X0)
| ~ s_m(X0,X1,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_501394,c_74]) ).
tcf(c_501430,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ s_m(X2,X0,X0)
| ~ s_m(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_501391,c_72]) ).
tcf(c_501434,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ s_m(X0,X2,X2)
| ~ s_m(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_501390,c_72]) ).
tcf(c_501438,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_m(X2,X1,X1)
| ~ s_e(X0,X1,X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_501398,c_74]) ).
tcf(c_501442,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,X0,X2)
| ~ s_m(X2,X1,X1)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_501388,c_72]) ).
tcf(c_501465,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = X1 )
| ~ s_m(X2,X1,X1)
| ~ s_e(X0,X1,X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_501399,c_100]) ).
tcf(c_501520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,X4)
| ~ s_m(X3,X0,X0)
| ~ s_m(X1,X5,X2)
| ~ s_m(X0,X4,X3)
| ~ s_t(X2,X0,X3)
| ~ s_e(X0,X1,X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_501387,c_72]) ).
tcf(c_501632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(crossbar(X2,X0,X3,X4,X1,X5),X1,X6,X6)
| ~ s_t(X4,X1,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,crossbar(X2,X0,X3,X4,X1,X5)) ),
inference(superposition,[status(thm)],[c_480321,c_480892]) ).
tcf(c_501633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_m(crossbar(X2,X0,X3,X4,X1,X5),X1,crossbar(X2,X0,X3,X4,X1,X5))
| ~ s_t(X4,X1,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,crossbar(X2,X0,X3,X4,X1,X5)) ),
inference(superposition,[status(thm)],[c_480321,c_486468]) ).
tcf(c_501634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X1,crossbar(X2,X0,X3,X4,X1,X5))
| ~ s_t(X4,X1,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,crossbar(X2,X0,X3,X4,X1,X5)) ),
inference(superposition,[status(thm)],[c_480321,c_480184]) ).
tcf(c_501635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,crossbar(X2,X0,X3,X4,X1,X5),X1)
| ~ s_t(X4,X1,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,crossbar(X2,X0,X3,X4,X1,X5)) ),
inference(superposition,[status(thm)],[c_480321,c_480114]) ).
tcf(c_501636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X2,X0,X3,X4,X1,X5) = X1 )
| ~ s_t(X4,X1,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,crossbar(X2,X0,X3,X4,X1,X5)) ),
inference(superposition,[status(thm)],[c_480321,c_55]) ).
tcf(c_501637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( crossbar(crossbar(X0,X1,X2,X3,X4,X5),X4,X8,X7,X4,X6) = X4 )
| ~ s_t(X7,X4,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X4,X8)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480321,c_480316]) ).
tcf(c_501638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( crossbar(crossbar(X0,X1,X2,X3,X4,X5),X4,X6,X7,X8,X6) = X6 )
| ~ s_t(X7,X8,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X4,X6)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480321,c_480254]) ).
tcf(c_501639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( ext(crossbar(X0,X1,X2,X4,X5,X3),X5,X5,X6) = X6 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_480013]) ).
tcf(c_501640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( ext(crossbar(X0,X1,X2,X4,X5,X3),X5,X6,X5) = X6 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_480011]) ).
tcf(c_501641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( ip(crossbar(X1,X2,X3,X4,X5,X6),X5,X7,X0,crossbar(X1,X2,X3,X4,X5,X6)) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X5,X7)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480321,c_479924]) ).
tcf(c_501642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( ip(crossbar(X0,X1,X2,X4,X5,X3),X5,X6,X5,X7) = X5 )
| ~ s_t(X5,X7,X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_479914]) ).
tcf(c_501643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X6,crossbar(X0,X1,X2,X4,X5,X3),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X6 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_238]) ).
tcf(c_501644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X5,crossbar(X0,X1,X2,X4,X5,X3),X6)
| ( crossbar(X0,X1,X2,X4,X5,X3) = xb )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_237]) ).
tcf(c_501645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,crossbar(X0,X1,X2,X4,X5,X3))
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_225]) ).
tcf(c_501646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X6,crossbar(X0,X1,X2,X4,X5,X3),X5)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_224]) ).
tcf(c_501647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(crossbar(X0,X1,X2,X4,X5,X3),X5,X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_223]) ).
tcf(c_501648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X4 = X6 )
| ~ s_r(X7,X6,X4)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X4,X7)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_r(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_480321,c_184]) ).
tcf(c_501649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,crossbar(X0,X1,X2,X4,X5,X3),X6)
| s_t(crossbar(X0,X1,X2,X4,X5,X3),X7,X6)
| ( X5 = X6 )
| ~ s_t(X7,X5,X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_147]) ).
tcf(c_501650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X7,X5,crossbar(X0,X1,X2,X4,X5,X3))
| ( X5 = X6 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ sameside(X7,X5,X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_145]) ).
tcf(c_501651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X0,X1,X7)
| sameside(X0,X1,crossbar(X2,X3,X4,X5,X1,X6))
| ( X1 = X7 )
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,X1,X6) = X1 )
| ~ s_t(X5,X1,X4)
| ~ s_t(X3,X1,X7)
| ~ s_t(X2,X6,X5)
| ~ s_t(X2,X3,X4)
| ~ s_col(X0,X1,crossbar(X2,X3,X4,X5,X1,X6)) ),
inference(superposition,[status(thm)],[c_480321,c_143]) ).
tcf(c_501652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ~ s_t(X3,X4,X2)
| ~ s_t(X1,X4,X6)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_480321,c_133]) ).
tcf(c_501653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(crossbar(X0,X1,X2,X4,X5,X3),X5,X7)
| ( X5 = X7 )
| ( X5 = X6 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X7,X5,X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_131]) ).
tcf(c_501654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,X4,X7)
| ( X4 = X7 )
| ( X4 = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X4,X7)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_480321,c_125]) ).
tcf(c_501655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4)
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X4,X7)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480321,c_109]) ).
tcf(c_501656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,X7,X6)
| s_t(X4,X6,X7)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X4,X7)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_480321,c_108]) ).
tcf(c_501657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X1,X2,X3,X4,X5),X7,X6)
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X4,X7)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_480321,c_107]) ).
tcf(c_501658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X1,X2,X4,X5,X3),X5,X7)
| ( X5 = X6 )
| ~ s_t(X5,X6,X7)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_81]) ).
tcf(c_501659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X4,X6)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480321,c_80]) ).
tcf(c_501660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X1,X2,X4,X5,X3),X7,X6)
| ~ s_t(X5,X7,X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_79]) ).
tcf(c_501661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X1,X2,X4,X5,X3),X6,X7)
| ( X5 = X6 )
| ~ s_t(X5,X6,X7)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_78]) ).
tcf(c_501662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,X6,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X4,X6)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480321,c_77]) ).
tcf(c_501663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X1,X2,X4,X5,X3),X5,X7)
| ~ s_t(X5,X7,X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_76]) ).
tcf(c_501664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X1,X2,X3,X4,X0,X5) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X2,X0,X6)
| ~ s_t(X1,X5,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X0,X5),X6) ),
inference(superposition,[status(thm)],[c_480321,c_75]) ).
tcf(c_501665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X5,crossbar(X0,X1,X2,X4,X5,X3))
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_73]) ).
tcf(c_501666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(X2,X0,X3,X4,X1,X5) = X1 )
| ~ s_t(X4,X1,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,ext(X1,crossbar(X2,X0,X3,X4,X1,X5),X6,X7)) ),
inference(superposition,[status(thm)],[c_480321,c_480090]) ).
tcf(c_501667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,X1,ext(X2,crossbar(X3,X0,X4,X5,X1,X6),X7,X8))
| ~ s_t(X5,X1,X4)
| ~ s_t(X3,X6,X5)
| ~ s_t(X3,X0,X4)
| ~ s_t(X0,X1,ext(X2,crossbar(X3,X0,X4,X5,X1,X6),X7,X8)) ),
inference(superposition,[status(thm)],[c_480321,c_480181]) ).
tcf(c_501668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,crossbar(X3,X0,X4,X5,X1,X6),X1)
| ~ s_t(X5,X1,X4)
| ~ s_t(X3,X6,X5)
| ~ s_t(X3,X0,X4)
| ~ s_t(X0,X1,ext(X2,crossbar(X3,X0,X4,X5,X1,X6),X7,X8)) ),
inference(superposition,[status(thm)],[c_480321,c_480111]) ).
tcf(c_501669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( crossbar(X5,X0,X6,X8,X1,X7) = X1 )
| ( ext(crossbar(X5,X0,X6,X8,X1,X7),X1,X3,X4) = ext(X2,X1,X3,X4) )
| ~ s_t(X8,X1,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480321,c_480012]) ).
tcf(c_501670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,X5)
| ( crossbar(X0,X1,X2,X4,X2,X3) = X2 )
| ~ s_t(X4,X2,X2)
| ~ s_t(X1,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_480258]) ).
tcf(c_501671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X2,X3),X5)
| ( crossbar(X0,X1,X2,X4,X2,X3) = X2 )
| ~ s_t(X4,X2,X2)
| ~ s_t(X1,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_480255]) ).
tcf(c_501672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X5,X3),X5)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_480260]) ).
tcf(c_501673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X5,X2)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_480257]) ).
tcf(c_501674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(X0,X1,X2,X4,X3,X3) = X3 )
| ~ s_t(X4,X3,X2)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_480261]) ).
tcf(c_501676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),X6)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_480317]) ).
tcf(c_501718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,X5)
| ( crossbar(X0,X1,X2,X4,X2,X3) = X2 )
| ~ s_t(X1,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_501670,c_72]) ).
tcf(c_501782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X2,X3),X5)
| ( crossbar(X0,X1,X2,X4,X2,X3) = X2 )
| ~ s_t(X1,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_501671,c_72]) ).
tcf(c_502031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,crossbar(X1,X2,X3,X4,X5,X6),ip(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X5,X8))
| ~ s_t(X5,X8,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_56,c_480322]) ).
tcf(c_502032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,crossbar(X1,X2,X3,X4,X5,X6),ip(X5,X8,X7,X0,crossbar(X1,X2,X3,X4,X5,X6)))
| ~ s_t(X5,X8,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_57,c_480322]) ).
tcf(c_502034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),crossbar(X0,X1,X2,X4,X5,X3))
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_74,c_480322]) ).
tcf(c_502035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X2,crossbar(X1,X2,X3,X4,X5,X6),crossbar(X0,X8,X5,X7,X9,crossbar(X1,X2,X3,X4,X5,X6)))
| ~ s_t(X7,X9,X5)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X8,X5)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_87,c_480322]) ).
tcf(c_502036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X2,crossbar(X1,X2,X3,X4,X5,X6),crossbar(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X9,X5,X8))
| ~ s_t(X9,X5,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X8,X9)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_88,c_480322]) ).
tcf(c_502037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,crossbar(X2,X3,X4,X5,X6,X7),ext(ext(X6,crossbar(X2,X3,X4,X5,X6,X7),alpha,gamma),crossbar(X2,X3,X4,X5,X6,X7),X0,X1))
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,crossbar(X2,X3,X4,X5,X6,X7),X6) ),
inference(superposition,[status(thm)],[c_231,c_480322]) ).
tcf(c_502038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),ip(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X6,X9))
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_480205,c_480322]) ).
tcf(c_502039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),ip(X8,X4,X7,crossbar(X0,X1,X2,X3,X4,X5),X6))
| ~ s_t(X8,X4,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480074,c_480322]) ).
tcf(c_502040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),ip(X6,X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5)))
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_480206,c_480322]) ).
tcf(c_502041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),ip(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8,X4))
| ~ s_t(X8,X4,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480075,c_480322]) ).
tcf(c_502042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),crossbar(X7,X9,X6,X8,X10,crossbar(X0,X1,X2,X3,X4,X5)))
| ~ s_t(X8,X10,X6)
| ~ s_t(X7,X9,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_480256,c_480322]) ).
tcf(c_502043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),X2)
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480259,c_480322]) ).
tcf(c_502044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X3,crossbar(X2,X3,X4,X5,X6,X7),crossbar(X0,X1,crossbar(X2,X3,X4,X5,X6,X7),X8,X9,X6))
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X6,X8)
| ~ s_t(X8,X9,crossbar(X2,X3,X4,X5,X6,X7))
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480262,c_480322]) ).
tcf(c_502045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),crossbar(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X10,X6,X9))
| ~ s_t(X10,X6,X8)
| ~ s_t(X7,X9,X10)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_480318,c_480322]) ).
tcf(c_502046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),X5)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_480322]) ).
tcf(c_502177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(X0,X1,X1,X3,X4,X2) = X1 )
| ~ s_t(X3,X4,X1)
| ~ s_t(X2,X1,X4)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_480259,c_480323]) ).
tcf(c_502178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(X0,X1,X2,X4,X1,X3) = X1 )
| ~ s_t(X4,X1,X2)
| ~ s_t(X1,X1,X1)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480321,c_480323]) ).
tcf(c_502180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(X0,X3,X3,X2,X4,X1) = X3 )
| ~ s_t(X2,X4,X3)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_502177,c_72]) ).
tcf(c_502191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X4,X2)
| ( X0 = X2 )
| ~ s_m(X0,X2,X1)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X2,X4)
| ~ s_e(X0,X3,X2,X4)
| ~ s_e(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_498465,c_479886]) ).
tcf(c_502192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X1,X6,X3)
| ~ s_m(X2,X0,X4)
| ~ s_t(X2,X6,X0)
| ~ s_t(X0,X5,X4)
| ~ s_e(X5,X4,X6,X0)
| ~ s_e(X4,X1,X0,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_498465,c_2500]) ).
tcf(c_502193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X1,X3,X0,X2)
| ~ s_m(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_498465,c_233]) ).
tcf(c_502194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(X2,X3,X1)
| s_col(X2,X0,X1)
| ( X0 = X2 )
| ~ s_m(X1,X2,X0)
| ~ s_col(X2,X3,X1)
| ~ s_col(X0,X3,X2)
| ~ s_e(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_498465,c_175]) ).
tcf(c_502195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X0,X3)
| ~ s_m(X2,X0,X4)
| ~ sameside(X4,X0,X1)
| ~ sameside(X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_498465,c_154]) ).
tcf(c_502196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X3 )
| ( X0 = X4 )
| ( X0 = X2 )
| ~ s_m(X2,X0,X3)
| ~ sameside(X3,X0,X4)
| ~ sameside(X1,X0,X4)
| ~ s_e(X0,X1,X2,X0) ),
inference(superposition,[status(thm)],[c_498465,c_140]) ).
tcf(c_502197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X6,X4,X2,X3)
| ~ s_m(X6,X4,X5)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_498465,c_114]) ).
tcf(c_502198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X3,X0)
| ~ s_m(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_498465,c_113]) ).
tcf(c_502199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,ext(ext(X0,X3,alpha,gamma),X3,X0,X1),X0)
| ~ s_m(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_498465,c_91]) ).
tcf(c_502200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X0,X4,X2)
| ~ s_m(X4,X3,X1)
| ~ s_t(X4,X2,X3)
| ~ s_t(X3,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_498465,c_90]) ).
tcf(c_502201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X2,X4)
| ~ s_m(X3,X4,X0)
| ~ s_t(X4,X0,X1)
| ~ s_t(X2,X3,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_498465,c_71]) ).
tcf(c_502203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X3,X1) = X2 )
| ~ s_m(X3,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_498465,c_68]) ).
tcf(c_502204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X1,X4,X3)
| ~ s_m(X4,X2,X0)
| ~ s_t(X4,X2,X3)
| ~ s_t(X2,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_498465,c_67]) ).
tcf(c_502209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X1,X6,X3)
| ( X0 = X4 )
| ~ s_m(X2,X0,X4)
| ~ s_t(X2,X0,X6)
| ~ s_t(X0,X4,X5)
| ~ s_e(X4,X5,X0,X6)
| ~ s_e(X4,X1,X0,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_498465,c_54]) ).
tcf(c_502212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,X4)
| ~ s_m(X3,X4,X0)
| ~ s_m(X1,X5,X2)
| ~ s_m(X0,X0,X3)
| ~ s_t(X2,X0,X0)
| ~ s_t(X1,X0,X3)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_498465,c_178]) ).
tcf(c_502213,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X0,X1)
| ~ s_m(X1,X1,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_498465,c_479989]) ).
tcf(c_502214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X4,X2)
| ( X0 = X2 )
| ~ s_m(X2,X2,X1)
| ~ s_t(X2,X0,X4)
| ~ s_t(X2,X0,X3)
| ~ s_e(X0,X3,X0,X4)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_498465,c_479928]) ).
tcf(c_502215,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_m(X2,X2,X1)
| ~ s_m(X2,X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_498465,c_297643]) ).
tcf(c_502216,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_m(X2,X2,X1)
| ~ s_m(X1,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_498465,c_297638]) ).
tcf(c_502217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,X2,X1)
| ( X0 = X1 )
| ~ s_m(X1,X1,X3)
| ~ s_m(X1,X0,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_498465,c_86598]) ).
tcf(c_502218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,X2,X1)
| ( X0 = X1 )
| ~ s_m(X3,X0,X1)
| ~ s_m(X1,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_498465,c_86593]) ).
tcf(c_502219,plain,
! [X0: $i,X1: $i] :
( s_m(X0,X1,X1)
| ~ s_m(X1,X1,X0)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_498465,c_241]) ).
tcf(c_502220,plain,
! [X0: $i,X1: $i] :
( s_m(X1,isomidpoint(X1,X0,X0),X0)
| ~ s_m(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_498465,c_179]) ).
tcf(c_502221,plain,
! [X0: $i,X1: $i] :
( s_m(X0,X1,X1)
| ( X0 = X1 )
| ~ s_m(X1,X1,X0)
| ~ s_col(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_498465,c_174]) ).
tcf(c_502223,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_m(X2,X2,X1)
| ~ s_t(X2,X1,X0)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_498465,c_106]) ).
tcf(c_502224,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = X2 )
| ~ s_m(X2,X2,X1)
| ~ s_col(X2,X0,X1)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_498465,c_105]) ).
tcf(c_502225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X3,X2)
| ( X0 = X2 )
| ~ s_m(X2,X2,X1)
| ~ s_col(X2,X0,X3)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_498465,c_104]) ).
tcf(c_502226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,X1,X2)
| ~ s_m(s(X0,X1),s(X0,X2),s(X0,X3)) ),
inference(superposition,[status(thm)],[c_498465,c_170]) ).
tcf(c_502227,plain,
! [X0: $i,X1: $i] :
( s_r(s(X0,X1),X0,X1)
| ~ s_m(s(X0,X1),s(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_498465,c_250]) ).
tcf(c_502228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X4,X0,X1)
| ~ s_m(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_498465,c_479867]) ).
tcf(c_502230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,X0,X2)
| ~ s_m(X0,X1,X3)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_498465,c_480053]) ).
tcf(c_502231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X4,X2,ext(X1,X0,X2,X3))
| ~ s_m(X3,ext(X1,X0,X2,X3),X4)
| ~ s_t(X2,X3,ext(X1,X0,X2,X3))
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_498465,c_479988]) ).
tcf(c_502232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X4,X6,X5,ext(X0,X1,X2,X3))
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X2,X3,X5)
| ~ s_m(X3,ext(X0,X1,X2,X3),X6)
| ~ s_t(X1,ext(X0,X1,X2,X3),X4)
| ~ s_e(X1,X6,X2,ext(X0,X1,X2,X3))
| ~ s_e(ext(X0,X1,X2,X3),X4,X3,X5) ),
inference(superposition,[status(thm)],[c_498465,c_479887]) ).
tcf(c_502237,plain,
! [X0: $i,X1: $i] :
( s_m(X1,X0,X0)
| ~ s_m(X0,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_502219,c_72]) ).
tcf(c_502267,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X0,X1)
| ~ s_m(X1,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_502213,c_72]) ).
tcf(c_502336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X0,X5)
| ~ s_m(X3,X5,X0)
| ~ s_m(X1,X4,X2)
| ~ s_m(X0,X0,X3)
| ~ s_t(X1,X0,X3)
| ~ s_e(X0,X1,X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_502212,c_72]) ).
tcf(c_502451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(X5,crossbar(X1,X2,X3,X4,X5,X6),X2,X0,crossbar(X1,X2,X3,X4,X5,X6),X7) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X5,X7,X0)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X2) ),
inference(superposition,[status(thm)],[c_480324,c_480316]) ).
tcf(c_502452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(X5,crossbar(X0,X1,X2,X4,X5,X3),X1,X6,X7,X1) = X1 )
| ~ s_t(X6,X7,X1)
| ~ s_t(X5,X1,X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480324,c_480254]) ).
tcf(c_502453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( ext(X5,crossbar(X0,X1,X2,X4,X5,X3),crossbar(X0,X1,X2,X4,X5,X3),X1) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480324,c_480013]) ).
tcf(c_502454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( ext(X5,crossbar(X0,X1,X2,X4,X5,X3),X1,crossbar(X0,X1,X2,X4,X5,X3)) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480324,c_480011]) ).
tcf(c_502455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(X5,crossbar(X0,X1,X2,X4,X5,X3),X1,X6,X5) = X5 )
| ~ s_t(X6,X5,X1)
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480324,c_479924]) ).
tcf(c_502456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(X4,crossbar(X0,X1,X2,X3,X4,X5),X1,crossbar(X0,X1,X2,X3,X4,X5),X6) = crossbar(X0,X1,X2,X3,X4,X5) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X1) ),
inference(superposition,[status(thm)],[c_480324,c_479914]) ).
tcf(c_502457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X1,X5,crossbar(X0,X1,X2,X4,X5,X3))
| ( X1 = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480324,c_238]) ).
tcf(c_502458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(crossbar(X0,X1,X2,X4,X5,X3),X5,X1)
| ( X5 = xb )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480324,c_237]) ).
tcf(c_502459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(crossbar(X0,X1,X2,X4,X5,X3),X1,X5)
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480324,c_225]) ).
tcf(c_502460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X1,X5,crossbar(X0,X1,X2,X4,X5,X3))
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480324,c_224]) ).
tcf(c_502461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X5,crossbar(X0,X1,X2,X4,X5,X3),X1)
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480324,c_223]) ).
tcf(c_502463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,X0,X2)
| s_t(X0,X5,X2)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X2) ),
inference(superposition,[status(thm)],[c_480324,c_147]) ).
tcf(c_502464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,crossbar(X1,X2,X3,X4,X5,X6),X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X2) ),
inference(superposition,[status(thm)],[c_480324,c_145]) ).
tcf(c_502465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X5)
| sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X2)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_col(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_480324,c_143]) ).
tcf(c_502466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ s_t(X4,X0,X3)
| ~ s_t(X1,X5,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X0,X5),X2) ),
inference(superposition,[status(thm)],[c_480324,c_133]) ).
tcf(c_502467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X5,crossbar(X1,X2,X3,X4,X5,X6),X0)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X2) ),
inference(superposition,[status(thm)],[c_480324,c_131]) ).
tcf(c_502468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,crossbar(X1,X2,X3,X4,X0,X5),X2)
| ( crossbar(X1,X2,X3,X4,X0,X5) = X6 )
| ( crossbar(X1,X2,X3,X4,X0,X5) = X2 )
| ( crossbar(X1,X2,X3,X4,X0,X5) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X5,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X0,X5),X6) ),
inference(superposition,[status(thm)],[c_480324,c_125]) ).
tcf(c_502469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,X6,crossbar(X0,X1,X2,X4,X5,X3))
| s_t(X5,crossbar(X0,X1,X2,X4,X5,X3),X6)
| ~ s_t(X5,X6,X1)
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480324,c_109]) ).
tcf(c_502470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(crossbar(X1,X2,X3,X4,X0,X5),X6,X2)
| s_t(crossbar(X1,X2,X3,X4,X0,X5),X2,X6)
| ( crossbar(X1,X2,X3,X4,X0,X5) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X5,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X0,X5),X6) ),
inference(superposition,[status(thm)],[c_480324,c_108]) ).
tcf(c_502471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X6,X2)
| s_t(X0,X2,X6)
| ( crossbar(X1,X2,X3,X4,X0,X5) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X5,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X0,X5),X6) ),
inference(superposition,[status(thm)],[c_480324,c_107]) ).
tcf(c_502472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,crossbar(X0,X1,X2,X3,X4,X5),X6)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X1,X6) ),
inference(superposition,[status(thm)],[c_480324,c_81]) ).
tcf(c_502473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,crossbar(X0,X1,X2,X4,X5,X3),X6)
| ~ s_t(X5,X1,X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480324,c_80]) ).
tcf(c_502474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X6,X1)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X1) ),
inference(superposition,[status(thm)],[c_480324,c_79]) ).
tcf(c_502475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X1,X6)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X1,X6) ),
inference(superposition,[status(thm)],[c_480324,c_78]) ).
tcf(c_502476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(crossbar(X0,X1,X2,X4,X5,X3),X1,X6)
| ~ s_t(X5,X1,X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480324,c_77]) ).
tcf(c_502477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,crossbar(X0,X1,X2,X3,X4,X5),X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X1) ),
inference(superposition,[status(thm)],[c_480324,c_76]) ).
tcf(c_502478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X1) ),
inference(superposition,[status(thm)],[c_480324,c_75]) ).
tcf(c_502480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,crossbar(X0,ext(X1,X2,X3,X4),X5,X7,X2,X6),ext(X1,X2,X3,X4))
| ~ s_t(X7,X2,X5)
| ~ s_t(X0,X6,X7)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480324,c_480181]) ).
tcf(c_502481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X2,crossbar(X0,ext(X1,X2,X3,X4),X5,X7,X2,X6))
| ~ s_t(X7,X2,X5)
| ~ s_t(X0,X6,X7)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480324,c_480111]) ).
tcf(c_502482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,crossbar(X7,X4,X6,X0,ip(X1,X2,X3,X4,X5),X8),X4)
| ~ s_t(X7,X8,X0)
| ~ s_t(X7,X4,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480324,c_480182]) ).
tcf(c_502483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,ip(X1,X2,X3,X4,X5),crossbar(X7,X4,X6,X0,ip(X1,X2,X3,X4,X5),X8))
| ~ s_t(X7,X8,X0)
| ~ s_t(X7,X4,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480324,c_480112]) ).
tcf(c_502484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X5,crossbar(X7,X1,X6,X0,ip(X1,X2,X3,X4,X5),X8),X1)
| ~ s_t(X7,X8,X0)
| ~ s_t(X7,X1,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480324,c_480183]) ).
tcf(c_502485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X5),crossbar(X7,X1,X6,X0,ip(X1,X2,X3,X4,X5),X8))
| ~ s_t(X7,X8,X0)
| ~ s_t(X7,X1,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480324,c_480113]) ).
tcf(c_502486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X6,crossbar(X1,X2,X3,X4,X5,X6),crossbar(X8,X3,X7,X0,crossbar(X1,X2,X3,X4,X5,X6),X9))
| ~ s_t(X8,X9,X0)
| ~ s_t(X8,X3,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480324,c_480260]) ).
tcf(c_502487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X6,crossbar(X8,X3,X7,X0,crossbar(X1,X2,X3,X4,X5,X6),X9),X3)
| ~ s_t(X8,X9,X0)
| ~ s_t(X8,X3,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480324,c_480257]) ).
tcf(c_502488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X2,crossbar(X1,X2,X3,X4,X5,X6),crossbar(X8,X5,X7,X0,crossbar(X1,X2,X3,X4,X5,X6),X9))
| ~ s_t(X8,X9,X0)
| ~ s_t(X8,X5,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480324,c_480322]) ).
tcf(c_502489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X2,crossbar(X8,X5,X7,X0,crossbar(X1,X2,X3,X4,X5,X6),X9),X5)
| ~ s_t(X8,X9,X0)
| ~ s_t(X8,X5,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480324,c_480319]) ).
tcf(c_502819,plain,
! [X0: $i,X1: $i] :
( s_e(X1,X1,X0,X0)
| ~ s_t(X1,X1,X0)
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_49,c_480380]) ).
tcf(c_502820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,ext(X0,X1,X2,X3),X2)
| ~ s_t(X3,X1,ext(X0,X1,X2,X3))
| ~ s_t(ext(X0,X1,X2,X3),X2,X3) ),
inference(superposition,[status(thm)],[c_53,c_480380]) ).
tcf(c_502823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X2,ins(X0,X1,X2,X3),X0)
| ~ le(X2,X3,X0,X1)
| ~ s_t(X1,X2,ins(X0,X1,X2,X3))
| ~ s_t(ins(X0,X1,X2,X3),X0,X1) ),
inference(superposition,[status(thm)],[c_111,c_480380]) ).
tcf(c_502824,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(X1,X0),X2,X0,s(X1,X2))
| ~ s_t(s(X1,X0),X2,X0)
| ~ s_t(X0,s(X1,X2),s(X1,X0)) ),
inference(superposition,[status(thm)],[c_166,c_480380]) ).
tcf(c_502825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(X0,X3),s(X0,X4),s(X0,X1),s(X0,X2))
| ~ s_e(X4,X1,X2,X3)
| ~ s_t(s(X0,X3),s(X0,X4),s(X0,X1))
| ~ s_t(s(X0,X1),s(X0,X2),s(X0,X3)) ),
inference(superposition,[status(thm)],[c_169,c_480380]) ).
tcf(c_502827,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(X0,X1),X2,X1,X2)
| ~ s_r(X2,X0,X1)
| ~ s_t(X1,X2,s(X0,X1))
| ~ s_t(s(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_249,c_480380]) ).
tcf(c_502830,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X2,s(X0,X1),s(X0,X2))
| ~ s_t(X1,X2,s(X0,X1))
| ~ s_t(s(X0,X1),s(X0,X2),X1) ),
inference(superposition,[status(thm)],[c_482415,c_480380]) ).
tcf(c_502832,plain,
! [X0: $i,X1: $i] :
( s_e(X1,X0,s(X0,X1),X0)
| ~ s_t(X1,X0,s(X0,X1))
| ~ s_t(s(X0,X1),X0,X1) ),
inference(superposition,[status(thm)],[c_482508,c_480380]) ).
tcf(c_502835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(ext(X0,X1,X2,X3),X2,X3,X1)
| ~ s_t(X3,X1,ext(X0,X1,X2,X3))
| ~ s_t(ext(X0,X1,X2,X3),X2,X3) ),
inference(superposition,[status(thm)],[c_479942,c_480380]) ).
tcf(c_502837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ext(X1,X2,X3,X0),X2,X3)
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,ext(X1,X2,X3,X0),X2) ),
inference(superposition,[status(thm)],[c_479960,c_480380]) ).
tcf(c_502838,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(X1,X2),X2,X0,s(X1,X0))
| ~ s_t(s(X1,X2),X2,X0)
| ~ s_t(X0,s(X1,X0),s(X1,X2)) ),
inference(superposition,[status(thm)],[c_482427,c_480380]) ).
tcf(c_502839,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X2,X0,X0)
| ~ s_m(X2,X0,X1)
| ~ s_t(X1,X2,X0)
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_486277,c_480380]) ).
tcf(c_502840,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(X0,X2),X2,s(X0,X1),X1)
| ~ s_t(s(X0,X2),X2,s(X0,X1))
| ~ s_t(s(X0,X1),X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_491066,c_480380]) ).
tcf(c_502841,plain,
! [X0: $i,X1: $i] :
( s_e(s(X0,X1),X1,X0,X0)
| ~ s_t(X0,X0,s(X0,X1))
| ~ s_t(s(X0,X1),X1,X0) ),
inference(superposition,[status(thm)],[c_482506,c_480380]) ).
tcf(c_502842,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,s(X1,X2),X0,s(X1,X0))
| ~ s_t(X2,s(X1,X2),X0)
| ~ s_t(X0,s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_491065,c_480380]) ).
tcf(c_502843,plain,
! [X0: $i,X1: $i] :
( s_e(X1,X1,X0,s(X1,X0))
| ~ s_t(X1,X1,X0)
| ~ s_t(X0,s(X1,X0),X1) ),
inference(superposition,[status(thm)],[c_482505,c_480380]) ).
tcf(c_502844,plain,
! [X0: $i,X1: $i] :
( s_e(X0,s(X1,X0),X1,X1)
| ~ s_t(X1,X1,X0)
| ~ s_t(X0,s(X1,X0),X1) ),
inference(superposition,[status(thm)],[c_482977,c_480380]) ).
tcf(c_502845,plain,
! [X0: $i,X1: $i] :
( s_e(X0,X0,s(X0,X1),X1)
| ~ s_t(X0,X0,s(X0,X1))
| ~ s_t(s(X0,X1),X1,X0) ),
inference(superposition,[status(thm)],[c_482962,c_480380]) ).
tcf(c_502846,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,s(X1,X0),s(X1,X2),X2)
| ~ s_t(s(X1,X2),X2,X0)
| ~ s_t(X0,s(X1,X0),s(X1,X2)) ),
inference(superposition,[status(thm)],[c_491507,c_480380]) ).
tcf(c_502847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(ext(X0,X1,X2,X3),X3,X2,X1)
| ~ s_t(X2,X1,ext(X0,X1,X2,X3))
| ~ s_t(ext(X0,X1,X2,X3),X3,X2) ),
inference(superposition,[status(thm)],[c_488569,c_480380]) ).
tcf(c_502848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,X0,ext(X1,X2,X3,X0))
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,ext(X1,X2,X3,X0),X2) ),
inference(superposition,[status(thm)],[c_488568,c_480380]) ).
tcf(c_502849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X1,ext(X0,X1,X2,X3),X3)
| ~ s_t(X2,X1,ext(X0,X1,X2,X3))
| ~ s_t(ext(X0,X1,X2,X3),X3,X2) ),
inference(superposition,[status(thm)],[c_479974,c_480380]) ).
tcf(c_502850,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X2,X0,X1)
| ~ s_m(X0,X2,X1)
| ~ s_t(X2,X2,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486276,c_480380]) ).
tcf(c_502851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ext(X1,X2,X0,X3),X2,X3)
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,ext(X1,X2,X0,X3),X2) ),
inference(superposition,[status(thm)],[c_480040,c_480380]) ).
tcf(c_502852,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,X0,X2)
| ~ s_m(X1,X0,X2)
| ~ s_t(X0,X2,X0)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_486273,c_480380]) ).
tcf(c_502853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,X0,ext(X1,X2,X0,X3))
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,ext(X1,X2,X0,X3),X2) ),
inference(superposition,[status(thm)],[c_488565,c_480380]) ).
tcf(c_502854,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X0,X1)
| ~ s_m(X1,X0,X2)
| ~ s_t(X0,X2,X0)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_497176,c_480380]) ).
tcf(c_502855,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X0,X1,X2)
| ~ s_m(X2,X0,X1)
| ~ s_t(X1,X2,X0)
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_498465,c_480380]) ).
tcf(c_502856,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,X2,X2)
| ~ s_m(X0,X2,X1)
| ~ s_t(X2,X2,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_497526,c_480380]) ).
tcf(c_502857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X1,ext(X0,X1,X2,X3),X4)
| ~ s_e(X2,X3,X4,X5)
| ~ s_t(X5,X1,ext(X0,X1,X2,X3))
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_479951,c_480380]) ).
tcf(c_502858,plain,
! [X0: $i,X1: $i] :
( s_e(X0,s(X1,X0),X1,X1)
| ~ s_t(X0,s(X1,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_502844,c_74]) ).
tcf(c_502861,plain,
! [X0: $i,X1: $i] :
( s_e(X1,X1,X0,s(X1,X0))
| ~ s_t(X0,s(X1,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_502843,c_74]) ).
tcf(c_502864,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,X2,X2)
| ~ s_m(X0,X2,X1)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_502856,c_74]) ).
tcf(c_502868,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X2,X0,X1)
| ~ s_m(X1,X2,X0)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_502855,c_74]) ).
tcf(c_502880,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X2,X0,X1)
| ~ s_m(X0,X2,X1)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_502850,c_74]) ).
tcf(c_502884,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,X2,X2)
| ~ s_m(X1,X2,X0)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_502839,c_74]) ).
tcf(c_502888,plain,
! [X0: $i,X1: $i] :
( s_e(X0,X0,s(X0,X1),X1)
| ~ s_t(s(X0,X1),X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_502845,c_74]) ).
tcf(c_502891,plain,
! [X0: $i,X1: $i] :
( s_e(s(X0,X1),X1,X0,X0)
| ~ s_t(s(X0,X1),X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_502841,c_74]) ).
tcf(c_503013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X1,X3,ext(X2,X0,X3,X1))
| ~ s_t(X3,ext(X2,X0,X3,X1),X1)
| ~ s_t(X0,X1,ext(X2,X0,X3,X1)) ),
inference(superposition,[status(thm)],[c_49,c_480381]) ).
tcf(c_503014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X0,X2,X2)
| ~ s_t(X2,X2,X3)
| ~ s_t(X0,X0,ext(X1,X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_53,c_480381]) ).
tcf(c_503016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X1,X3,X1)
| ~ s_t(X3,X1,X4)
| ~ s_m(ext(X2,X0,X3,X4),X1,X4)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_240,c_480381]) ).
tcf(c_503017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X1,X3,X1)
| ~ s_t(X3,X1,X4)
| ~ s_m(X4,X1,ext(X2,X0,X3,X4))
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_486279,c_480381]) ).
tcf(c_503018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ext(X1,ext(X2,X0,X3,X4),X5,X4),X3,X5)
| ~ s_t(X3,X5,X4)
| ~ s_t(X0,ext(X1,ext(X2,X0,X3,X4),X5,X4),ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_479960,c_480381]) ).
tcf(c_503019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X4,X0,s(X1,ext(X2,X3,X0,s(X1,X4))))
| ~ s_t(X3,X4,ext(X2,X3,X0,s(X1,X4)))
| ~ s_t(X0,s(X1,ext(X2,X3,X0,s(X1,X4))),s(X1,X4)) ),
inference(superposition,[status(thm)],[c_482427,c_480381]) ).
tcf(c_503020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X1,X3,ext(X2,X0,X3,X4))
| ~ s_m(X1,ext(X2,X0,X3,X4),X4)
| ~ s_t(X3,ext(X2,X0,X3,X4),X4)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_486277,c_480381]) ).
tcf(c_503021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,s(X1,X2),X4,s(X1,ext(X3,X0,X4,X2)))
| ~ s_t(X4,s(X1,ext(X3,X0,X4,X2)),X2)
| ~ s_t(X0,s(X1,X2),ext(X3,X0,X4,X2)) ),
inference(superposition,[status(thm)],[c_491065,c_480381]) ).
tcf(c_503022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X0,s(X1,ext(X2,X3,X0,X1)))
| ~ s_t(X3,X1,ext(X2,X3,X0,X1))
| ~ s_t(X0,s(X1,ext(X2,X3,X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_482505,c_480381]) ).
tcf(c_503023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,s(ext(X1,X0,X2,X3),X3),X2,ext(X1,X0,X2,X3))
| ~ s_t(X2,ext(X1,X0,X2,X3),X3)
| ~ s_t(X0,s(ext(X1,X0,X2,X3),X3),ext(X1,X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_482977,c_480381]) ).
tcf(c_503024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X3,X0,ext(X1,X2,X3,ext(X4,X5,X0,X2)))
| ~ s_t(X5,X3,ext(X4,X5,X0,X2))
| ~ s_t(X0,ext(X1,X2,X3,ext(X4,X5,X0,X2)),X2) ),
inference(superposition,[status(thm)],[c_488568,c_480381]) ).
tcf(c_503025,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X0,X2,X2)
| ~ s_t(X2,X2,X2)
| ~ s_t(X0,X0,ext(X1,X0,X2,X2)) ),
inference(superposition,[status(thm)],[c_479974,c_480381]) ).
tcf(c_503026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X1,X3,X4)
| ~ s_t(X3,X4,X1)
| ~ s_m(ext(X2,X0,X3,X1),X1,X4)
| ~ s_t(X0,X1,ext(X2,X0,X3,X1)) ),
inference(superposition,[status(thm)],[c_486276,c_480381]) ).
tcf(c_503027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ext(X1,ext(X2,X0,X3,X4),X4,X5),X3,X5)
| ~ s_t(X3,X5,X4)
| ~ s_t(X0,ext(X1,ext(X2,X0,X3,X4),X4,X5),ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480040,c_480381]) ).
tcf(c_503028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X5,X0,ext(X1,X2,ext(X3,X4,X0,X2),X5))
| ~ s_t(X4,X5,ext(X3,X4,X0,X2))
| ~ s_t(X0,ext(X1,X2,ext(X3,X4,X0,X2),X5),X2) ),
inference(superposition,[status(thm)],[c_488565,c_480381]) ).
tcf(c_503029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X1,X3,X4)
| ~ s_t(X3,X4,X1)
| ~ s_m(X4,X1,ext(X2,X0,X3,X1))
| ~ s_t(X0,X1,ext(X2,X0,X3,X1)) ),
inference(superposition,[status(thm)],[c_498465,c_480381]) ).
tcf(c_503030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X1,X3,ext(X2,X0,X3,X4))
| ~ s_m(X4,ext(X2,X0,X3,X4),X1)
| ~ s_t(X3,ext(X2,X0,X3,X4),X4)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_497526,c_480381]) ).
tcf(c_503031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X0,X2,X4)
| ~ s_t(X2,X4,X3)
| ~ s_e(X2,X3,X4,X3)
| ~ s_t(X0,X0,ext(X1,X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_479951,c_480381]) ).
tcf(c_503032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X1,X3,X4)
| ~ s_t(X3,X4,X3)
| ~ s_e(X1,X0,X4,X3)
| ~ s_t(X0,X1,ext(X2,X0,X3,X3)) ),
inference(superposition,[status(thm)],[c_480032,c_480381]) ).
tcf(c_503037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X3,X0,X2)
| ~ s_t(X0,X2,X1)
| ~ s_e(X0,X1,X2,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_503031,c_74]) ).
tcf(c_503141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(ext(X1,X0,X2,X3),X1) = X1 )
| ( s(ext(X1,X0,X2,X3),X1) = X0 )
| ~ s_r(X0,s(ext(X1,X0,X2,X3),X1),X1) ),
inference(superposition,[status(thm)],[c_499647,c_187]) ).
tcf(c_503142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X0,X1,X4)
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ~ s_r(s(ext(X0,X1,X2,X3),X0),X1,X4) ),
inference(superposition,[status(thm)],[c_499647,c_181]) ).
tcf(c_503143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X6,X7,X5)
| ( X6 = X7 )
| ( X1 = X4 )
| ( s(ext(X1,X0,X2,X3),X1) = X0 )
| ~ s_col(X6,X7,X4)
| ~ s_col(X6,X7,X1)
| ~ s_col(X0,s(ext(X1,X0,X2,X3),X1),X5)
| ~ s_col(X0,s(ext(X1,X0,X2,X3),X1),X4) ),
inference(superposition,[status(thm)],[c_499647,c_152]) ).
tcf(c_503144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X1,X4,X5)
| ( X1 = X4 )
| ( s(ext(X1,X0,X2,X3),X1) = X0 )
| ~ s_col(X0,s(ext(X1,X0,X2,X3),X1),X5)
| ~ s_col(X0,s(ext(X1,X0,X2,X3),X1),X4) ),
inference(superposition,[status(thm)],[c_499647,c_151]) ).
tcf(c_503145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( s(ext(X1,X0,X2,X3),X1) = X0 )
| ~ s_col(X0,s(ext(X1,X0,X2,X3),X1),X4) ),
inference(superposition,[status(thm)],[c_499647,c_148]) ).
tcf(c_503146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,s(ext(X1,X0,X2,X3),X1),X1)
| s_t(X0,s(ext(X1,X0,X2,X3),X1),X1) ),
inference(superposition,[status(thm)],[c_499647,c_134]) ).
tcf(c_503147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,X1,s(ext(X1,X0,X2,X3),X1)),
inference(superposition,[status(thm)],[c_499647,c_98]) ).
tcf(c_503148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(s(ext(X0,X1,X2,X3),X0),X1,X0),
inference(superposition,[status(thm)],[c_499647,c_97]) ).
tcf(c_503149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,s(ext(X0,X1,X2,X3),X0),X1),
inference(superposition,[status(thm)],[c_499647,c_96]) ).
tcf(c_503152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(X0,s(ext(X1,X0,X2,X3),X1),X4,X5,X6)
| ( X5 = X6 )
| ( X4 = X7 )
| ( X1 = X4 )
| ( s(ext(X1,X0,X2,X3),X1) = X0 )
| ~ s_r(X1,X4,X7)
| ~ s_col(X5,X6,X7)
| ~ s_col(X5,X6,X4)
| ~ s_col(X0,s(ext(X1,X0,X2,X3),X1),X4) ),
inference(superposition,[status(thm)],[c_499647,c_200]) ).
tcf(c_503296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,s(X1,X2),X0,s(X1,X4))
| ~ s_e(X2,X3,X4,X3)
| ~ s_t(X0,s(X1,X4),s(X1,X3))
| ~ s_t(X0,s(X1,X2),s(X1,X3)) ),
inference(superposition,[status(thm)],[c_169,c_480382]) ).
tcf(c_503298,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X0,s(X1,X2))
| ~ s_t(X0,X2,X1)
| ~ s_t(X0,s(X1,X2),X1) ),
inference(superposition,[status(thm)],[c_482416,c_480382]) ).
tcf(c_503299,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,s(X1,X2),X0,X2)
| ~ s_t(X0,X2,X1)
| ~ s_t(X0,s(X1,X2),X1) ),
inference(superposition,[status(thm)],[c_482602,c_480382]) ).
tcf(c_503301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ext(X1,X2,X3,X2),X0,X3)
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,ext(X1,X2,X3,X2),X2) ),
inference(superposition,[status(thm)],[c_479960,c_480382]) ).
tcf(c_503302,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X0,s(X1,s(X1,X2)))
| ~ s_t(X0,X2,s(X1,X2))
| ~ s_t(X0,s(X1,s(X1,X2)),s(X1,X2)) ),
inference(superposition,[status(thm)],[c_482427,c_480382]) ).
tcf(c_503303,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,X0,X2)
| ~ s_m(X1,X2,X2)
| ~ s_t(X0,X2,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486277,c_480382]) ).
tcf(c_503305,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,s(X1,X2),X0,s(X1,X2))
| ~ s_t(X0,s(X1,X2),X2) ),
inference(superposition,[status(thm)],[c_491065,c_480382]) ).
tcf(c_503306,plain,
! [X0: $i,X1: $i] :
( s_e(X0,X1,X0,s(X1,X1))
| ~ s_t(X0,X1,X1)
| ~ s_t(X0,s(X1,X1),X1) ),
inference(superposition,[status(thm)],[c_482505,c_480382]) ).
tcf(c_503307,plain,
! [X0: $i,X1: $i] :
( s_e(X0,s(X1,X1),X0,X1)
| ~ s_t(X0,X1,X1)
| ~ s_t(X0,s(X1,X1),X1) ),
inference(superposition,[status(thm)],[c_482977,c_480382]) ).
tcf(c_503308,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,s(X1,s(X1,X2)),X0,X2)
| ~ s_t(X0,X2,s(X1,X2))
| ~ s_t(X0,s(X1,s(X1,X2)),s(X1,X2)) ),
inference(superposition,[status(thm)],[c_491507,c_480382]) ).
tcf(c_503309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X3,X0,ext(X1,X2,X3,X2))
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,ext(X1,X2,X3,X2),X2) ),
inference(superposition,[status(thm)],[c_488568,c_480382]) ).
tcf(c_503310,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,X0,X2)
| ~ s_m(X1,X1,X2)
| ~ s_t(X0,X2,X1)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_486276,c_480382]) ).
tcf(c_503311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ext(X1,X2,X2,X3),X0,X3)
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,ext(X1,X2,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_480040,c_480382]) ).
tcf(c_503312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X1,X0,X3)
| ~ s_m(X1,X2,X3)
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486273,c_480382]) ).
tcf(c_503313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X3,X0,ext(X1,X2,X2,X3))
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,ext(X1,X2,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_488565,c_480382]) ).
tcf(c_503314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X3,X0,X1)
| ~ s_m(X1,X2,X3)
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_497176,c_480382]) ).
tcf(c_503315,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X0,X1)
| ~ s_m(X1,X2,X2)
| ~ s_t(X0,X2,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_498465,c_480382]) ).
tcf(c_503316,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X0,X1)
| ~ s_m(X1,X1,X2)
| ~ s_t(X0,X2,X1)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_497526,c_480382]) ).
tcf(c_503317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X4,X5,X2)
| ~ s_t(X5,X4,ext(X3,X4,X0,X1))
| ~ s_t(X5,X2,ext(X3,X4,X0,X1))
| ~ s_e(X0,X1,X2,ext(X3,X4,X0,X1)) ),
inference(superposition,[status(thm)],[c_479951,c_480382]) ).
tcf(c_503318,plain,
! [X0: $i,X1: $i] :
( s_e(X0,s(X1,X1),X0,X1)
| ~ s_t(X0,s(X1,X1),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_503307,c_72]) ).
tcf(c_503321,plain,
! [X0: $i,X1: $i] :
( s_e(X0,X1,X0,s(X1,X1))
| ~ s_t(X0,s(X1,X1),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_503306,c_72]) ).
tcf(c_503330,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,X0,X2)
| ~ s_m(X2,X2,X1)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_503316,c_72]) ).
tcf(c_503334,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X0,X1)
| ~ s_m(X1,X2,X2)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_503315,c_72]) ).
tcf(c_503346,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X0,X1)
| ~ s_m(X2,X2,X1)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_503310,c_72]) ).
tcf(c_503350,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,X0,X2)
| ~ s_m(X1,X2,X2)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_503303,c_72]) ).
tcf(c_503477,plain,
! [X0: $i,X1: $i] :
( s_t(X1,X1,X0)
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_480032,c_480406]) ).
tcf(c_503478,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,ext(ext(X0,X0,alpha,gamma),X0,X0,X1),X2,X2)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_480406,c_480892]) ).
tcf(c_503479,plain,
! [X0: $i,X1: $i] :
( s_m(X0,ext(ext(X0,X0,alpha,gamma),X0,X0,X1),X0)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_480406,c_486468]) ).
tcf(c_503480,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,ext(ext(X0,X0,alpha,gamma),X0,X0,X1),X0)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_480406,c_480184]) ).
tcf(c_503481,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,ext(ext(X0,X0,alpha,gamma),X0,X0,X1))
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_480406,c_480114]) ).
tcf(c_503482,plain,
! [X0: $i,X1: $i] :
( ( ext(ext(X0,X0,alpha,gamma),X0,X0,X1) = X0 )
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_480406,c_55]) ).
tcf(c_503483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(X2,ext(ext(X1,X2,alpha,gamma),X2,X1,X3),X1,X0,ext(ext(X1,X2,alpha,gamma),X2,X1,X3),X4) = ext(ext(X1,X2,alpha,gamma),X2,X1,X3) )
| ~ s_t(X2,X4,X0)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,ext(ext(X1,X2,alpha,gamma),X2,X1,X3),X1) ),
inference(superposition,[status(thm)],[c_480406,c_480316]) ).
tcf(c_503484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(X2,ext(ext(X0,X2,alpha,gamma),X2,X0,X1),X0,X3,X4,X0) = X0 )
| ~ s_t(X3,X4,X0)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480406,c_480254]) ).
tcf(c_503485,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(ext(X0,X2,alpha,gamma),X2,X0,X1) = X2 )
| ( ext(X2,ext(ext(X0,X2,alpha,gamma),X2,X0,X1),ext(ext(X0,X2,alpha,gamma),X2,X0,X1),X0) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480406,c_480013]) ).
tcf(c_503486,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(ext(X0,X2,alpha,gamma),X2,X0,X1) = X2 )
| ( ext(X2,ext(ext(X0,X2,alpha,gamma),X2,X0,X1),X0,ext(ext(X0,X2,alpha,gamma),X2,X0,X1)) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480406,c_480011]) ).
tcf(c_503487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(X2,ext(ext(X0,X2,alpha,gamma),X2,X0,X1),X0,X3,X2) = X2 )
| ~ s_t(X3,X2,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480406,c_479924]) ).
tcf(c_503488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(X1,ext(ext(X0,X1,alpha,gamma),X1,X0,X2),X0,ext(ext(X0,X1,alpha,gamma),X1,X0,X2),X3) = ext(ext(X0,X1,alpha,gamma),X1,X0,X2) )
| ~ s_t(X0,X2,X1)
| ~ s_t(ext(ext(X0,X1,alpha,gamma),X1,X0,X2),X3,X0) ),
inference(superposition,[status(thm)],[c_480406,c_479914]) ).
tcf(c_503489,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X2,ext(ext(X0,X2,alpha,gamma),X2,X0,X1))
| ( X0 = X2 )
| ( ext(ext(X0,X2,alpha,gamma),X2,X0,X1) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480406,c_238]) ).
tcf(c_503490,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(ext(ext(X0,X2,alpha,gamma),X2,X0,X1),X2,X0)
| ( X2 = xb )
| ( ext(ext(X0,X2,alpha,gamma),X2,X0,X1) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480406,c_237]) ).
tcf(c_503491,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(ext(ext(X0,X2,alpha,gamma),X2,X0,X1),X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480406,c_225]) ).
tcf(c_503492,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X2,ext(ext(X0,X2,alpha,gamma),X2,X0,X1))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480406,c_224]) ).
tcf(c_503493,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X2,ext(ext(X0,X2,alpha,gamma),X2,X0,X1),X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480406,c_223]) ).
tcf(c_503494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(ext(X0,X2,alpha,gamma),X2,X0,X3) = X1 )
| ~ s_t(X0,X3,X2)
| ~ s_r(X2,X1,ext(ext(X0,X2,alpha,gamma),X2,X0,X3))
| ~ s_r(X0,X1,ext(ext(X0,X2,alpha,gamma),X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480406,c_184]) ).
tcf(c_503495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X0,X1)
| s_t(X0,X2,X1)
| ( ext(ext(X1,X2,alpha,gamma),X2,X1,X3) = X1 )
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,ext(ext(X1,X2,alpha,gamma),X2,X1,X3),X1) ),
inference(superposition,[status(thm)],[c_480406,c_147]) ).
tcf(c_503496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,ext(ext(X1,X2,alpha,gamma),X2,X1,X3),X2)
| ( ext(ext(X1,X2,alpha,gamma),X2,X1,X3) = X2 )
| ( ext(ext(X1,X2,alpha,gamma),X2,X1,X3) = X1 )
| ~ s_t(X1,X3,X2)
| ~ sameside(X0,ext(ext(X1,X2,alpha,gamma),X2,X1,X3),X1) ),
inference(superposition,[status(thm)],[c_480406,c_145]) ).
tcf(c_503497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,ext(ext(X1,X2,alpha,gamma),X2,X1,X3),X2)
| sameside(X0,ext(ext(X1,X2,alpha,gamma),X2,X1,X3),X1)
| ( ext(ext(X1,X2,alpha,gamma),X2,X1,X3) = X2 )
| ( ext(ext(X1,X2,alpha,gamma),X2,X1,X3) = X1 )
| ( ext(ext(X1,X2,alpha,gamma),X2,X1,X3) = X0 )
| ~ s_t(X1,X3,X2)
| ~ s_col(X0,ext(ext(X1,X2,alpha,gamma),X2,X1,X3),X2) ),
inference(superposition,[status(thm)],[c_480406,c_143]) ).
tcf(c_503498,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ s_t(X1,X2,X0)
| ~ sameside(X0,ext(ext(X1,X0,alpha,gamma),X0,X1,X2),X1) ),
inference(superposition,[status(thm)],[c_480406,c_133]) ).
tcf(c_503499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X2,ext(ext(X1,X2,alpha,gamma),X2,X1,X3),X0)
| ( ext(ext(X1,X2,alpha,gamma),X2,X1,X3) = X2 )
| ( ext(ext(X1,X2,alpha,gamma),X2,X1,X3) = X1 )
| ( ext(ext(X1,X2,alpha,gamma),X2,X1,X3) = X0 )
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,ext(ext(X1,X2,alpha,gamma),X2,X1,X3),X1) ),
inference(superposition,[status(thm)],[c_480406,c_131]) ).
tcf(c_503500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,ext(ext(X1,X0,alpha,gamma),X0,X1,X2),X1)
| ( ext(ext(X1,X0,alpha,gamma),X0,X1,X2) = X3 )
| ( ext(ext(X1,X0,alpha,gamma),X0,X1,X2) = X1 )
| ( ext(ext(X1,X0,alpha,gamma),X0,X1,X2) = X0 )
| ~ s_t(X1,X2,X0)
| ~ sameside(X0,ext(ext(X1,X0,alpha,gamma),X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_480406,c_125]) ).
tcf(c_503501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X3,ext(ext(X0,X2,alpha,gamma),X2,X0,X1))
| s_t(X2,ext(ext(X0,X2,alpha,gamma),X2,X0,X1),X3)
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480406,c_109]) ).
tcf(c_503502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(ext(X1,X0,alpha,gamma),X0,X1,X2),X3,X1)
| s_t(ext(ext(X1,X0,alpha,gamma),X0,X1,X2),X1,X3)
| ( ext(ext(X1,X0,alpha,gamma),X0,X1,X2) = X0 )
| ~ s_t(X1,X2,X0)
| ~ s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_480406,c_108]) ).
tcf(c_503503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X3,X1)
| s_t(X0,X1,X3)
| ( ext(ext(X1,X0,alpha,gamma),X0,X1,X2) = X0 )
| ~ s_t(X1,X2,X0)
| ~ s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_480406,c_107]) ).
tcf(c_503504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,ext(ext(X0,X1,alpha,gamma),X1,X0,X2),X3)
| ( ext(ext(X0,X1,alpha,gamma),X1,X0,X2) = X0 )
| ~ s_t(X0,X2,X1)
| ~ s_t(ext(ext(X0,X1,alpha,gamma),X1,X0,X2),X0,X3) ),
inference(superposition,[status(thm)],[c_480406,c_81]) ).
tcf(c_503505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,ext(ext(X0,X2,alpha,gamma),X2,X0,X1),X3)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480406,c_80]) ).
tcf(c_503506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X3,X0)
| ~ s_t(X0,X2,X1)
| ~ s_t(ext(ext(X0,X1,alpha,gamma),X1,X0,X2),X3,X0) ),
inference(superposition,[status(thm)],[c_480406,c_79]) ).
tcf(c_503507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,X3)
| ( ext(ext(X0,X1,alpha,gamma),X1,X0,X2) = X0 )
| ~ s_t(X0,X2,X1)
| ~ s_t(ext(ext(X0,X1,alpha,gamma),X1,X0,X2),X0,X3) ),
inference(superposition,[status(thm)],[c_480406,c_78]) ).
tcf(c_503508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(ext(X0,X2,alpha,gamma),X2,X0,X1),X0,X3)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480406,c_77]) ).
tcf(c_503509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,ext(ext(X0,X1,alpha,gamma),X1,X0,X2),X3)
| ~ s_t(X0,X2,X1)
| ~ s_t(ext(ext(X0,X1,alpha,gamma),X1,X0,X2),X3,X0) ),
inference(superposition,[status(thm)],[c_480406,c_76]) ).
tcf(c_503510,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(ext(X0,X1,alpha,gamma),X1,X0,X2) = X1 )
| ~ s_t(X0,X2,X1)
| ~ s_t(ext(ext(X0,X1,alpha,gamma),X1,X0,X2),X1,X0) ),
inference(superposition,[status(thm)],[c_480406,c_75]) ).
tcf(c_503511,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,ext(ext(X0,X2,alpha,gamma),X2,X0,X1),X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480406,c_73]) ).
tcf(c_503512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ext(ext(ext(X0,X1,X2,X3),X1,alpha,gamma),X1,ext(X0,X1,X2,X3),X4),ext(X0,X1,X2,X3))
| ~ s_t(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_480406,c_480181]) ).
tcf(c_503513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X1,ext(ext(ext(X0,X1,X2,X3),X1,alpha,gamma),X1,ext(X0,X1,X2,X3),X4))
| ~ s_t(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_480406,c_480111]) ).
tcf(c_503514,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(ext(X0,X2,alpha,gamma),X2,X0)
| ( ext(ext(X0,X2,alpha,gamma),X2,X0,X1) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480406,c_480227]) ).
tcf(c_503515,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(ext(X0,X2,alpha,gamma),ext(ext(X0,X2,alpha,gamma),X2,X0,X1),X0)
| ( ext(ext(X0,X2,alpha,gamma),X2,X0,X1) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480406,c_480157]) ).
tcf(c_503516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ext(ext(X0,ip(X2,X3,X4,X0,X5),alpha,gamma),ip(X2,X3,X4,X0,X5),X0,X1),X0)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X0,X5)) ),
inference(superposition,[status(thm)],[c_480406,c_480182]) ).
tcf(c_503517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ip(X2,X3,X4,X0,X5),ext(ext(X0,ip(X2,X3,X4,X0,X5),alpha,gamma),ip(X2,X3,X4,X0,X5),X0,X1))
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X5,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X0,X5)) ),
inference(superposition,[status(thm)],[c_480406,c_480112]) ).
tcf(c_503518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ext(ext(X0,ip(X0,X2,X3,X4,X5),alpha,gamma),ip(X0,X2,X3,X4,X5),X0,X1),X0)
| ~ s_t(X4,X5,X3)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,ip(X0,X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480406,c_480183]) ).
tcf(c_503519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ip(X0,X2,X3,X4,X5),ext(ext(X0,ip(X0,X2,X3,X4,X5),alpha,gamma),ip(X0,X2,X3,X4,X5),X0,X1))
| ~ s_t(X4,X5,X3)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,ip(X0,X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480406,c_480113]) ).
tcf(c_503520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,crossbar(X2,X3,X0,X4,X5,X6),ext(ext(X0,crossbar(X2,X3,X0,X4,X5,X6),alpha,gamma),crossbar(X2,X3,X0,X4,X5,X6),X0,X1))
| ~ s_t(X4,X5,X0)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,X1,crossbar(X2,X3,X0,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480406,c_480260]) ).
tcf(c_503521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,ext(ext(X0,crossbar(X2,X3,X0,X4,X5,X6),alpha,gamma),crossbar(X2,X3,X0,X4,X5,X6),X0,X1),X0)
| ~ s_t(X4,X5,X0)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,X1,crossbar(X2,X3,X0,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480406,c_480257]) ).
tcf(c_503522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,crossbar(X2,X3,X4,X5,X0,X6),ext(ext(X0,crossbar(X2,X3,X4,X5,X0,X6),alpha,gamma),crossbar(X2,X3,X4,X5,X0,X6),X0,X1))
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X6,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X0,X6)) ),
inference(superposition,[status(thm)],[c_480406,c_480322]) ).
tcf(c_503523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ext(ext(X0,crossbar(X2,X3,X4,X5,X0,X6),alpha,gamma),crossbar(X2,X3,X4,X5,X0,X6),X0,X1),X0)
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X6,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X0,X6)) ),
inference(superposition,[status(thm)],[c_480406,c_480319]) ).
tcf(c_503846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_r(s(ext(X0,X1,X2,X3),X0),X0,X1) ),
inference(superposition,[status(thm)],[c_499648,c_187]) ).
tcf(c_503847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X1,s(ext(X0,X1,X2,X3),X0),X4)
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_r(X0,s(ext(X0,X1,X2,X3),X0),X4) ),
inference(superposition,[status(thm)],[c_499648,c_181]) ).
tcf(c_503848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X6,X7,X5)
| ( X6 = X7 )
| ( X1 = X4 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(X6,X7,X4)
| ~ s_col(X6,X7,X1)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X0,X5)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X0,X4) ),
inference(superposition,[status(thm)],[c_499648,c_152]) ).
tcf(c_503849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X1,X4,X5)
| ( X1 = X4 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X0,X5)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X0,X4) ),
inference(superposition,[status(thm)],[c_499648,c_151]) ).
tcf(c_503850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(ext(X0,X1,X2,X3),X0),X1,X4)
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X0,X4) ),
inference(superposition,[status(thm)],[c_499648,c_148]) ).
tcf(c_503851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(ext(X0,X1,X2,X3),X0),X0,X1)
| s_t(s(ext(X0,X1,X2,X3),X0),X0,X1) ),
inference(superposition,[status(thm)],[c_499648,c_134]) ).
tcf(c_503857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(s(ext(X0,X1,X2,X3),X0),X0,X4,X5,X6)
| ( X5 = X6 )
| ( X4 = X7 )
| ( X1 = X4 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_r(X1,X4,X7)
| ~ s_col(X5,X6,X7)
| ~ s_col(X5,X6,X4)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X0,X4) ),
inference(superposition,[status(thm)],[c_499648,c_200]) ).
tcf(c_503921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ~ s_r(X0,X1,s(ext(X0,X1,X2,X3),X0)) ),
inference(superposition,[status(thm)],[c_499649,c_187]) ).
tcf(c_503922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(s(ext(X1,X0,X3,X4),X1),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499649,c_181]) ).
tcf(c_503923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X7)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(ext(X2,X3,X4,X5),X2) = X6 )
| ~ s_col(X2,X3,X7)
| ~ s_col(X2,X3,X6)
| ~ s_col(X0,X1,X6)
| ~ s_col(X0,X1,s(ext(X2,X3,X4,X5),X2)) ),
inference(superposition,[status(thm)],[c_499649,c_152]) ).
tcf(c_503924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(s(ext(X0,X1,X4,X5),X0),X2,X3)
| ( X0 = X1 )
| ( s(ext(X0,X1,X4,X5),X0) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499649,c_151]) ).
tcf(c_503925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(ext(X0,X1,X3,X4),X0),X2)
| ( X0 = X1 )
| ( s(ext(X0,X1,X3,X4),X0) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499649,c_148]) ).
tcf(c_503932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(X0,X1,X4,X6,X7)
| ( X6 = X7 )
| ( X4 = X5 )
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = X4 )
| ~ s_col(X6,X7,X5)
| ~ s_col(X6,X7,X4)
| ~ s_col(X0,X1,X4)
| ~ s_r(s(ext(X0,X1,X2,X3),X0),X4,X5) ),
inference(superposition,[status(thm)],[c_499649,c_200]) ).
tcf(c_503993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X1,ip(X6,X1,X5,ext(X0,X1,X2,X3),X4)),X3)
| ~ s_t(X6,X1,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_56,c_480407]) ).
tcf(c_503994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X1,ip(ext(X0,X1,X2,X3),X4,X5,X6,X1)),X3)
| ~ s_t(X6,X1,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_57,c_480407]) ).
tcf(c_503995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X2,ext(X3,X2,X0,X1)),X1),
inference(superposition,[status(thm)],[c_72,c_480407]) ).
tcf(c_503996,plain,
! [X0: $i,X1: $i,X2: $i] : s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X2,X2),X1),
inference(superposition,[status(thm)],[c_74,c_480407]) ).
tcf(c_503997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,ext(ext(X5,X4,alpha,gamma),X4,X3,crossbar(X0,X1,ext(X2,X3,X4,X5),X6,X7,X3)),X5)
| ~ s_t(X0,X3,X6)
| ~ s_t(X6,X7,ext(X2,X3,X4,X5))
| ~ s_t(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_87,c_480407]) ).
tcf(c_503998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X2,crossbar(X6,X2,X5,X0,ext(X1,X2,X3,X4),X7)),X4)
| ~ s_t(X6,X7,X0)
| ~ s_t(X6,X2,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_88,c_480407]) ).
tcf(c_503999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ext(ext(X5,X4,alpha,gamma),X4,X2,ext(ext(ext(X3,X2,X4,X5),X2,alpha,gamma),X2,X0,X1)),X5)
| ~ le(X0,X1,X2,ext(X3,X2,X4,X5)) ),
inference(superposition,[status(thm)],[c_231,c_480407]) ).
tcf(c_504000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X0,ip(X5,X0,X6,X1,X7)),X4)
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X7,X6)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480205,c_480407]) ).
tcf(c_504001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,ext(ext(X7,X6,alpha,gamma),X6,ip(X3,X0,X4,X1,X5),X1),X7)
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X5,X4)
| ~ s_t(X0,X1,ext(X2,ip(X3,X0,X4,X1,X5),X6,X7)) ),
inference(superposition,[status(thm)],[c_480135,c_480407]) ).
tcf(c_504002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X2,ip(X0,ext(X1,X2,X3,X4),X5,X2,X6)),X4)
| ~ s_t(X2,X6,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480074,c_480407]) ).
tcf(c_504003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X0,ip(X1,X5,X6,X7,X0)),X4)
| ~ s_t(X7,X0,X6)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480206,c_480407]) ).
tcf(c_504004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,ext(ext(X7,X6,alpha,gamma),X6,ip(X1,X3,X4,X5,X0),X1),X7)
| ~ s_t(X5,X0,X4)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,ext(X2,ip(X1,X3,X4,X5,X0),X6,X7)) ),
inference(superposition,[status(thm)],[c_480136,c_480407]) ).
tcf(c_504005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X2,ip(X2,X6,X5,X0,ext(X1,X2,X3,X4))),X4)
| ~ s_t(X2,X6,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480075,c_480407]) ).
tcf(c_504006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X1,ext(ext(ext(X0,X1,X2,X3),X1,alpha,gamma),X1,ext(X0,X1,X2,X3),X4)),X3)
| ~ s_t(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_480406,c_480407]) ).
tcf(c_504007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X0,crossbar(X5,X6,X1,X7,X8,X0)),X4)
| ~ s_t(X7,X8,X1)
| ~ s_t(X5,X6,X1)
| ~ s_t(X5,X0,X7)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480256,c_480407]) ).
tcf(c_504008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X7,ext(ext(X8,X7,alpha,gamma),X7,crossbar(X3,X4,X1,X5,X6,X0),X1),X8)
| ~ s_t(X5,X6,X1)
| ~ s_t(X3,X4,X1)
| ~ s_t(X3,X0,X5)
| ~ s_t(X0,X1,ext(X2,crossbar(X3,X4,X1,X5,X6,X0),X7,X8)) ),
inference(superposition,[status(thm)],[c_480259,c_480407]) ).
tcf(c_504009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X2,crossbar(X0,X6,X2,X5,X7,ext(X1,X2,X3,X4))),X4)
| ~ s_t(X5,X7,X2)
| ~ s_t(X0,X6,X2)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480262,c_480407]) ).
tcf(c_504010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X0,crossbar(X5,X0,X6,X8,X1,X7)),X4)
| ~ s_t(X8,X1,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480318,c_480407]) ).
tcf(c_504011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X7,ext(ext(X8,X7,alpha,gamma),X7,crossbar(X3,X0,X4,X5,X1,X6),X1),X8)
| ~ s_t(X5,X1,X4)
| ~ s_t(X3,X6,X5)
| ~ s_t(X3,X0,X4)
| ~ s_t(X0,X1,ext(X2,crossbar(X3,X0,X4,X5,X1,X6),X7,X8)) ),
inference(superposition,[status(thm)],[c_480321,c_480407]) ).
tcf(c_504012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X2,crossbar(X0,ext(X1,X2,X3,X4),X5,X7,X2,X6)),X4)
| ~ s_t(X7,X2,X5)
| ~ s_t(X0,X6,X7)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480324,c_480407]) ).
tcf(c_504167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(X2,ext(ext(X1,X2,alpha,gamma),X2,X2,X3),X1,X0,ext(ext(X1,X2,alpha,gamma),X2,X2,X3),X4) = ext(ext(X1,X2,alpha,gamma),X2,X2,X3) )
| ~ s_t(X2,X4,X0)
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,ext(ext(X1,X2,alpha,gamma),X2,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_480408,c_480316]) ).
tcf(c_504168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(X0,ext(ext(X2,X0,alpha,gamma),X0,X0,X1),X2,X3,X4,X2) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480408,c_480254]) ).
tcf(c_504169,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(ext(X2,X0,alpha,gamma),X0,X0,X1) = X0 )
| ( ext(X0,ext(ext(X2,X0,alpha,gamma),X0,X0,X1),ext(ext(X2,X0,alpha,gamma),X0,X0,X1),X2) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480408,c_480013]) ).
tcf(c_504170,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(ext(X2,X0,alpha,gamma),X0,X0,X1) = X0 )
| ( ext(X0,ext(ext(X2,X0,alpha,gamma),X0,X0,X1),X2,ext(ext(X2,X0,alpha,gamma),X0,X0,X1)) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480408,c_480011]) ).
tcf(c_504171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(X0,ext(ext(X2,X0,alpha,gamma),X0,X0,X1),X2,X3,X0) = X0 )
| ~ s_t(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480408,c_479924]) ).
tcf(c_504172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(X1,ext(ext(X0,X1,alpha,gamma),X1,X1,X2),X0,ext(ext(X0,X1,alpha,gamma),X1,X1,X2),X3) = ext(ext(X0,X1,alpha,gamma),X1,X1,X2) )
| ~ s_t(X1,X2,X0)
| ~ s_t(ext(ext(X0,X1,alpha,gamma),X1,X1,X2),X3,X0) ),
inference(superposition,[status(thm)],[c_480408,c_479914]) ).
tcf(c_504173,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,X0,ext(ext(X2,X0,alpha,gamma),X0,X0,X1))
| ( X0 = X2 )
| ( ext(ext(X2,X0,alpha,gamma),X0,X0,X1) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480408,c_238]) ).
tcf(c_504174,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(ext(ext(X2,X0,alpha,gamma),X0,X0,X1),X0,X2)
| ( X0 = xb )
| ( ext(ext(X2,X0,alpha,gamma),X0,X0,X1) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480408,c_237]) ).
tcf(c_504175,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(ext(ext(X2,X0,alpha,gamma),X0,X0,X1),X2,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480408,c_225]) ).
tcf(c_504176,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X2,X0,ext(ext(X2,X0,alpha,gamma),X0,X0,X1))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480408,c_224]) ).
tcf(c_504177,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,ext(ext(X2,X0,alpha,gamma),X0,X0,X1),X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480408,c_223]) ).
tcf(c_504178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(ext(X2,X0,alpha,gamma),X0,X0,X3) = X1 )
| ~ s_t(X0,X3,X2)
| ~ s_r(X2,X1,ext(ext(X2,X0,alpha,gamma),X0,X0,X3))
| ~ s_r(X0,X1,ext(ext(X2,X0,alpha,gamma),X0,X0,X3)) ),
inference(superposition,[status(thm)],[c_480408,c_184]) ).
tcf(c_504179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X0,X1)
| s_t(X0,X2,X1)
| ( ext(ext(X1,X2,alpha,gamma),X2,X2,X3) = X1 )
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,ext(ext(X1,X2,alpha,gamma),X2,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_480408,c_147]) ).
tcf(c_504180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,ext(ext(X1,X2,alpha,gamma),X2,X2,X3),X2)
| ( ext(ext(X1,X2,alpha,gamma),X2,X2,X3) = X2 )
| ( ext(ext(X1,X2,alpha,gamma),X2,X2,X3) = X1 )
| ~ s_t(X2,X3,X1)
| ~ sameside(X0,ext(ext(X1,X2,alpha,gamma),X2,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_480408,c_145]) ).
tcf(c_504181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,ext(ext(X1,X2,alpha,gamma),X2,X2,X3),X2)
| sameside(X0,ext(ext(X1,X2,alpha,gamma),X2,X2,X3),X1)
| ( ext(ext(X1,X2,alpha,gamma),X2,X2,X3) = X2 )
| ( ext(ext(X1,X2,alpha,gamma),X2,X2,X3) = X1 )
| ( ext(ext(X1,X2,alpha,gamma),X2,X2,X3) = X0 )
| ~ s_t(X2,X3,X1)
| ~ s_col(X0,ext(ext(X1,X2,alpha,gamma),X2,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_480408,c_143]) ).
tcf(c_504182,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ s_t(X0,X2,X1)
| ~ sameside(X0,ext(ext(X1,X0,alpha,gamma),X0,X0,X2),X1) ),
inference(superposition,[status(thm)],[c_480408,c_133]) ).
tcf(c_504183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X2,ext(ext(X1,X2,alpha,gamma),X2,X2,X3),X0)
| ( ext(ext(X1,X2,alpha,gamma),X2,X2,X3) = X2 )
| ( ext(ext(X1,X2,alpha,gamma),X2,X2,X3) = X1 )
| ( ext(ext(X1,X2,alpha,gamma),X2,X2,X3) = X0 )
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,ext(ext(X1,X2,alpha,gamma),X2,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_480408,c_131]) ).
tcf(c_504184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,ext(ext(X1,X0,alpha,gamma),X0,X0,X2),X1)
| ( ext(ext(X1,X0,alpha,gamma),X0,X0,X2) = X3 )
| ( ext(ext(X1,X0,alpha,gamma),X0,X0,X2) = X1 )
| ( ext(ext(X1,X0,alpha,gamma),X0,X0,X2) = X0 )
| ~ s_t(X0,X2,X1)
| ~ sameside(X0,ext(ext(X1,X0,alpha,gamma),X0,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480408,c_125]) ).
tcf(c_504185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X3,ext(ext(X2,X0,alpha,gamma),X0,X0,X1))
| s_t(X0,ext(ext(X2,X0,alpha,gamma),X0,X0,X1),X3)
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480408,c_109]) ).
tcf(c_504186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(ext(X1,X0,alpha,gamma),X0,X0,X2),X3,X1)
| s_t(ext(ext(X1,X0,alpha,gamma),X0,X0,X2),X1,X3)
| ( ext(ext(X1,X0,alpha,gamma),X0,X0,X2) = X0 )
| ~ s_t(X0,X2,X1)
| ~ s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480408,c_108]) ).
tcf(c_504187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X3,X1)
| s_t(X0,X1,X3)
| ( ext(ext(X1,X0,alpha,gamma),X0,X0,X2) = X0 )
| ~ s_t(X0,X2,X1)
| ~ s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480408,c_107]) ).
tcf(c_504188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,ext(ext(X0,X1,alpha,gamma),X1,X1,X2),X3)
| ( ext(ext(X0,X1,alpha,gamma),X1,X1,X2) = X0 )
| ~ s_t(X1,X2,X0)
| ~ s_t(ext(ext(X0,X1,alpha,gamma),X1,X1,X2),X0,X3) ),
inference(superposition,[status(thm)],[c_480408,c_81]) ).
tcf(c_504189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ext(ext(X2,X0,alpha,gamma),X0,X0,X1),X3)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480408,c_80]) ).
tcf(c_504190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X3,X0)
| ~ s_t(X1,X2,X0)
| ~ s_t(ext(ext(X0,X1,alpha,gamma),X1,X1,X2),X3,X0) ),
inference(superposition,[status(thm)],[c_480408,c_79]) ).
tcf(c_504191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,X3)
| ( ext(ext(X0,X1,alpha,gamma),X1,X1,X2) = X0 )
| ~ s_t(X1,X2,X0)
| ~ s_t(ext(ext(X0,X1,alpha,gamma),X1,X1,X2),X0,X3) ),
inference(superposition,[status(thm)],[c_480408,c_78]) ).
tcf(c_504192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(ext(X2,X0,alpha,gamma),X0,X0,X1),X2,X3)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480408,c_77]) ).
tcf(c_504193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,ext(ext(X0,X1,alpha,gamma),X1,X1,X2),X3)
| ~ s_t(X1,X2,X0)
| ~ s_t(ext(ext(X0,X1,alpha,gamma),X1,X1,X2),X3,X0) ),
inference(superposition,[status(thm)],[c_480408,c_76]) ).
tcf(c_504194,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(ext(X0,X1,alpha,gamma),X1,X1,X2) = X1 )
| ~ s_t(X1,X2,X0)
| ~ s_t(ext(ext(X0,X1,alpha,gamma),X1,X1,X2),X1,X0) ),
inference(superposition,[status(thm)],[c_480408,c_75]) ).
tcf(c_504195,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,ext(ext(X2,X0,alpha,gamma),X0,X0,X1),X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480408,c_73]) ).
tcf(c_504196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X0,ext(ext(ext(X2,X0,X3,X4),X0,alpha,gamma),X0,X0,X1)),X4)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480408,c_480407]) ).
tcf(c_504197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,ext(ext(ext(X2,X0,X3,X4),X0,alpha,gamma),X0,X0,X1),ext(X2,X0,X3,X4))
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480408,c_480181]) ).
tcf(c_504198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,ext(ext(ext(X2,X0,X3,X4),X0,alpha,gamma),X0,X0,X1))
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480408,c_480111]) ).
tcf(c_504199,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(ext(X2,X0,alpha,gamma),X0,X2)
| ( ext(ext(X2,X0,alpha,gamma),X0,X0,X1) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480408,c_480227]) ).
tcf(c_504200,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(ext(X2,X0,alpha,gamma),ext(ext(X2,X0,alpha,gamma),X0,X0,X1),X2)
| ( ext(ext(X2,X0,alpha,gamma),X0,X0,X1) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480408,c_480157]) ).
tcf(c_504201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ext(ext(X3,ip(X0,X1,X2,X3,X4),alpha,gamma),ip(X0,X1,X2,X3,X4),ip(X0,X1,X2,X3,X4),X5),X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_480408,c_480182]) ).
tcf(c_504202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),ext(ext(X3,ip(X0,X1,X2,X3,X4),alpha,gamma),ip(X0,X1,X2,X3,X4),ip(X0,X1,X2,X3,X4),X5))
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_480408,c_480112]) ).
tcf(c_504203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ext(ext(X0,ip(X0,X1,X2,X3,X4),alpha,gamma),ip(X0,X1,X2,X3,X4),ip(X0,X1,X2,X3,X4),X5),X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_480408,c_480183]) ).
tcf(c_504204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),ext(ext(X0,ip(X0,X1,X2,X3,X4),alpha,gamma),ip(X0,X1,X2,X3,X4),ip(X0,X1,X2,X3,X4),X5))
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_480408,c_480113]) ).
tcf(c_504205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),ext(ext(X2,crossbar(X0,X1,X2,X3,X4,X5),alpha,gamma),crossbar(X0,X1,X2,X3,X4,X5),crossbar(X0,X1,X2,X3,X4,X5),X6))
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_480408,c_480260]) ).
tcf(c_504206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,ext(ext(X2,crossbar(X0,X1,X2,X3,X4,X5),alpha,gamma),crossbar(X0,X1,X2,X3,X4,X5),crossbar(X0,X1,X2,X3,X4,X5),X6),X2)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_480408,c_480257]) ).
tcf(c_504207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),ext(ext(X4,crossbar(X0,X1,X2,X3,X4,X5),alpha,gamma),crossbar(X0,X1,X2,X3,X4,X5),crossbar(X0,X1,X2,X3,X4,X5),X6))
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_480408,c_480322]) ).
tcf(c_504208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ext(ext(X4,crossbar(X0,X1,X2,X3,X4,X5),alpha,gamma),crossbar(X0,X1,X2,X3,X4,X5),crossbar(X0,X1,X2,X3,X4,X5),X6),X4)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_480408,c_480319]) ).
tcf(c_504439,plain,
! [X0: $i,X1: $i] : s_t(X0,ext(ext(X0,X0,alpha,gamma),X0,X1,X1),X0),
inference(superposition,[status(thm)],[c_72,c_480409]) ).
tcf(c_504443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,ext(ext(X2,X2,alpha,gamma),X2,s(X3,X0),s(X3,X1)),X2)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_167,c_480409]) ).
tcf(c_504444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,ext(ext(X3,X3,alpha,gamma),X3,X2,ext(ext(X2,X2,alpha,gamma),X2,X0,X1)),X3)
| ~ le(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_231,c_480409]) ).
tcf(c_504445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ext(ext(X5,X5,alpha,gamma),X5,X1,ip(X0,X1,X2,X3,X4)),X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_480409]) ).
tcf(c_504446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ext(ext(X5,X5,alpha,gamma),X5,ip(X2,X0,X3,X1,X4),X1),X5)
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X4,X3)
| ~ s_t(X0,X1,ip(X2,X0,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480135,c_480409]) ).
tcf(c_504447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ext(ext(X4,X4,alpha,gamma),X4,X1,ip(X0,X1,X2,X1,X3)),X4)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480074,c_480409]) ).
tcf(c_504448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ext(ext(X5,X5,alpha,gamma),X5,X4,ip(X0,X1,X2,X3,X4)),X5)
| ~ s_t(X4,X0,X4)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_480409]) ).
tcf(c_504449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ext(ext(X5,X5,alpha,gamma),X5,ip(X1,X2,X3,X4,X0),X1),X5)
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,ip(X1,X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480136,c_480409]) ).
tcf(c_504450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ext(ext(X4,X4,alpha,gamma),X4,X0,ip(X0,X1,X2,X3,X0)),X4)
| ~ s_t(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480075,c_480409]) ).
tcf(c_504451,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,ext(ext(X2,X2,alpha,gamma),X2,X0,ext(ext(X0,X0,alpha,gamma),X0,X0,X1)),X2)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_480406,c_480409]) ).
tcf(c_504453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,ext(ext(X6,X6,alpha,gamma),X6,X3,crossbar(X0,X1,X2,X4,X5,X3)),X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X2,X3)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_480409]) ).
tcf(c_504454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,ext(ext(X6,X6,alpha,gamma),X6,crossbar(X2,X3,X1,X4,X5,X0),X1),X6)
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X1,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_480259,c_480409]) ).
tcf(c_504455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ext(ext(X5,X5,alpha,gamma),X5,X2,crossbar(X0,X1,X2,X3,X4,X2)),X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480262,c_480409]) ).
tcf(c_504456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,ext(ext(X6,X6,alpha,gamma),X6,X1,crossbar(X0,X1,X2,X4,X5,X3)),X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X1)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_480409]) ).
tcf(c_504457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,ext(ext(X6,X6,alpha,gamma),X6,crossbar(X2,X0,X3,X4,X1,X5),X1),X6)
| ~ s_t(X4,X1,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,crossbar(X2,X0,X3,X4,X1,X5)) ),
inference(superposition,[status(thm)],[c_480321,c_480409]) ).
tcf(c_504458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ext(ext(X5,X5,alpha,gamma),X5,X1,crossbar(X0,X1,X2,X4,X1,X3)),X5)
| ~ s_t(X4,X1,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480324,c_480409]) ).
tcf(c_504606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(s(ext(X0,X1,X2,X3),X0),X1,X0,X5,X1,X4) = X1 )
| ~ s_t(X5,X1,X0)
| ~ s_t(s(ext(X0,X1,X2,X3),X0),X4,X5) ),
inference(superposition,[status(thm)],[c_499667,c_480316]) ).
tcf(c_504607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(s(ext(X0,X1,X2,X3),X0),X1,X0,X4,X5,X0) = X0 )
| ~ s_t(X4,X5,X0)
| ~ s_t(s(ext(X0,X1,X2,X3),X0),X0,X4) ),
inference(superposition,[status(thm)],[c_499667,c_480254]) ).
tcf(c_504608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ( ext(s(ext(X0,X1,X2,X3),X0),X1,X1,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_499667,c_480013]) ).
tcf(c_504609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ( ext(s(ext(X0,X1,X2,X3),X0),X1,X0,X1) = X0 ) ),
inference(superposition,[status(thm)],[c_499667,c_480011]) ).
tcf(c_504610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(s(ext(X1,X2,X3,X4),X1),X2,X1,X0,s(ext(X1,X2,X3,X4),X1)) = s(ext(X1,X2,X3,X4),X1) )
| ~ s_t(X0,s(ext(X1,X2,X3,X4),X1),X1) ),
inference(superposition,[status(thm)],[c_499667,c_479924]) ).
tcf(c_504611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(s(ext(X2,X0,X3,X4),X2),X0,X2,X0,X1) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499667,c_479914]) ).
tcf(c_504612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,s(ext(X0,X1,X2,X3),X0),X1)
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_499667,c_238]) ).
tcf(c_504613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,s(ext(X0,X1,X2,X3),X0),X0)
| ( s(ext(X0,X1,X2,X3),X0) = xb )
| ( s(ext(X0,X1,X2,X3),X0) = X1 ) ),
inference(superposition,[status(thm)],[c_499667,c_237]) ).
tcf(c_504618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,s(ext(X2,X1,X3,X4),X2),X2)
| s_t(s(ext(X2,X1,X3,X4),X2),X0,X2)
| ( X1 = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499667,c_147]) ).
tcf(c_504619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,s(ext(X2,X1,X3,X4),X2))
| ( X1 = X2 )
| ( s(ext(X2,X1,X3,X4),X2) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499667,c_145]) ).
tcf(c_504620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,s(ext(X2,X1,X3,X4),X2))
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(ext(X2,X1,X3,X4),X2) = X1 )
| ~ s_col(X0,X1,s(ext(X2,X1,X3,X4),X2)) ),
inference(superposition,[status(thm)],[c_499667,c_143]) ).
tcf(c_504621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ sameside(s(ext(X0,X1,X2,X3),X0),X1,X0),
inference(superposition,[status(thm)],[c_499667,c_133]) ).
tcf(c_504622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(ext(X2,X1,X3,X4),X2),X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(ext(X2,X1,X3,X4),X2) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499667,c_131]) ).
tcf(c_504623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,X0)
| ( X1 = X4 )
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ~ sameside(s(ext(X0,X1,X2,X3),X0),X1,X4) ),
inference(superposition,[status(thm)],[c_499667,c_125]) ).
tcf(c_504624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(ext(X0,X1,X2,X3),X0),X4,X1)
| s_t(s(ext(X0,X1,X2,X3),X0),X1,X4)
| ~ s_t(s(ext(X0,X1,X2,X3),X0),X4,X0) ),
inference(superposition,[status(thm)],[c_499667,c_109]) ).
tcf(c_504625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X4,X0)
| s_t(X1,X0,X4)
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ~ s_t(s(ext(X0,X1,X2,X3),X0),X1,X4) ),
inference(superposition,[status(thm)],[c_499667,c_108]) ).
tcf(c_504626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(ext(X0,X1,X2,X3),X0),X4,X0)
| s_t(s(ext(X0,X1,X2,X3),X0),X0,X4)
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ~ s_t(s(ext(X0,X1,X2,X3),X0),X1,X4) ),
inference(superposition,[status(thm)],[c_499667,c_107]) ).
tcf(c_504627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(ext(X1,X0,X3,X4),X1),X0,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499667,c_81]) ).
tcf(c_504628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(ext(X0,X1,X2,X3),X0),X1,X4)
| ~ s_t(s(ext(X0,X1,X2,X3),X0),X0,X4) ),
inference(superposition,[status(thm)],[c_499667,c_80]) ).
tcf(c_504629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(ext(X2,X0,X3,X4),X2),X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499667,c_79]) ).
tcf(c_504630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(ext(X1,X0,X3,X4),X1),X1,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499667,c_78]) ).
tcf(c_504631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,X4)
| ~ s_t(s(ext(X0,X1,X2,X3),X0),X0,X4) ),
inference(superposition,[status(thm)],[c_499667,c_77]) ).
tcf(c_504632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(ext(X2,X0,X3,X4),X2),X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499667,c_76]) ).
tcf(c_504633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(ext(X1,X0,X2,X3),X1) = X0 )
| ~ s_t(X0,s(ext(X1,X0,X2,X3),X1),X1) ),
inference(superposition,[status(thm)],[c_499667,c_75]) ).
tcf(c_504635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( s(ext(ext(X0,X1,X2,X3),X1,X4,X5),ext(X0,X1,X2,X3)) = X1 )
| ( ext(s(ext(ext(X0,X1,X2,X3),X1,X4,X5),ext(X0,X1,X2,X3)),X1,X2,X3) = ext(X0,X1,X2,X3) ) ),
inference(superposition,[status(thm)],[c_499667,c_480012]) ).
tcf(c_504788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X4),X3)
| ~ s_e(X0,X1,X2,X3)
| ~ s_t(X0,X4,X1) ),
inference(global_subsumption_just,[status(thm)],[c_480498,c_2618]) ).
tcf(c_504789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X4),X3)
| ~ s_t(X0,X4,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(renaming,[status(thm)],[c_504788]) ).
tcf(c_504797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,ext(ext(X4,X3,alpha,gamma),X3,X0,X1),X4)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_53,c_504789]) ).
tcf(c_504799,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X2,ext(ext(X2,X2,alpha,gamma),X2,X0,X1),X2)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_66,c_504789]) ).
tcf(c_504800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_111,c_504789]) ).
tcf(c_504801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(X3,X0),ext(ext(s(X3,X2),s(X3,X0),alpha,gamma),s(X3,X0),X0,X1),s(X3,X2))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_166,c_504789]) ).
tcf(c_504802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(s(X0,X4),ext(ext(s(X0,X5),s(X0,X4),alpha,gamma),s(X0,X4),s(X0,X1),X2),s(X0,X5))
| ~ s_e(X1,X3,X4,X5)
| ~ s_t(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_169,c_504789]) ).
tcf(c_504803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,ext(ext(X3,X0,alpha,gamma),X0,X0,X1),X3)
| ~ s_m(X2,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_240,c_504789]) ).
tcf(c_504804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,ext(ext(s(X3,X2),X0,alpha,gamma),X0,X0,X1),s(X3,X2))
| ~ s_r(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_249,c_504789]) ).
tcf(c_504805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,ext(ext(s(X0,X3),X1,alpha,gamma),X1,s(X0,X1),X2),s(X0,X3))
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_482413,c_504789]) ).
tcf(c_504806,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,ext(ext(s(X0,X2),X0,alpha,gamma),X0,X0,X1),s(X0,X2))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482414,c_504789]) ).
tcf(c_504807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(X2,X0),ext(ext(X3,s(X2,X0),alpha,gamma),s(X2,X0),X0,X1),X3)
| ~ s_t(X0,X1,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_482415,c_504789]) ).
tcf(c_504808,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X2,X0),ext(ext(X2,s(X2,X0),alpha,gamma),s(X2,X0),X0,X1),X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482416,c_504789]) ).
tcf(c_504809,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,ext(ext(X2,X0,alpha,gamma),X0,X0,X1),X2)
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_482508,c_504789]) ).
tcf(c_504810,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,ext(ext(X0,X1,alpha,gamma),X1,s(X0,X1),X2),X0)
| ~ s_t(s(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_482602,c_504789]) ).
tcf(c_504811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,ext(ext(X3,X1,alpha,gamma),X1,s(X0,X1),X2),X3)
| ~ s_t(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_482430,c_504789]) ).
tcf(c_504812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,ext(ext(ext(X4,X3,X0,X2),X3,alpha,gamma),X3,X0,X1),ext(X4,X3,X0,X2))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_479942,c_504789]) ).
tcf(c_504813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,ext(ext(X3,X0,alpha,gamma),X0,X0,X1),X3)
| ~ s_m(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486279,c_504789]) ).
tcf(c_504814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X2,ext(ext(X3,X2,alpha,gamma),X2,ext(X0,X1,X2,X3),X4),X3)
| ~ s_t(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_479960,c_504789]) ).
tcf(c_504815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(X3,X2),ext(ext(s(X3,X0),s(X3,X2),alpha,gamma),s(X3,X2),X0,X1),s(X3,X0))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482427,c_504789]) ).
tcf(c_504816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ s_m(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486277,c_504789]) ).
tcf(c_504817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X3,ext(ext(s(X2,X0),X3,alpha,gamma),X3,X0,X1),s(X2,X0))
| ~ s_t(X0,X1,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_491066,c_504789]) ).
tcf(c_504818,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X2,ext(ext(s(X2,X0),X2,alpha,gamma),X2,X0,X1),s(X2,X0))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482506,c_504789]) ).
tcf(c_504819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(X0,X3),ext(ext(X1,s(X0,X3),alpha,gamma),s(X0,X3),s(X0,X1),X2),X1)
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_491065,c_504789]) ).
tcf(c_504820,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X2),ext(ext(X0,s(X0,X2),alpha,gamma),s(X0,X2),X0,X1),X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_482505,c_504789]) ).
tcf(c_504821,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,ext(ext(X1,X0,alpha,gamma),X0,s(X0,X1),X2),X1)
| ~ s_t(s(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_482977,c_504789]) ).
tcf(c_504822,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X2,ext(ext(X0,X2,alpha,gamma),X2,X0,X1),X0)
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_482962,c_504789]) ).
tcf(c_504823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X3,ext(ext(X1,X3,alpha,gamma),X3,s(X0,X1),X2),X1)
| ~ s_t(s(X0,X1),X2,s(X0,X3)) ),
inference(superposition,[status(thm)],[c_491507,c_504789]) ).
tcf(c_504824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,ext(ext(ext(X4,X3,X2,X0),X3,alpha,gamma),X3,X0,X1),ext(X4,X3,X2,X0))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_488569,c_504789]) ).
tcf(c_504825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X3,X4,X0,X2),ext(ext(X4,ext(X3,X4,X0,X2),alpha,gamma),ext(X3,X4,X0,X2),X0,X1),X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_488568,c_504789]) ).
tcf(c_504826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X4,ext(ext(X3,X4,alpha,gamma),X4,X0,X1),X3)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_479974,c_504789]) ).
tcf(c_504827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X3,ext(ext(X0,X3,alpha,gamma),X3,X0,X1),X0)
| ~ s_m(X2,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486276,c_504789]) ).
tcf(c_504828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,ext(ext(X2,X3,alpha,gamma),X3,ext(X0,X1,X2,X3),X4),X2)
| ~ s_t(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_480040,c_504789]) ).
tcf(c_504829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X3,ext(ext(X2,X3,alpha,gamma),X3,X0,X1),X2)
| ~ s_m(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486273,c_504789]) ).
tcf(c_504830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X3,X4,X2,X0),ext(ext(X4,ext(X3,X4,X2,X0),alpha,gamma),ext(X3,X4,X2,X0),X0,X1),X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_488565,c_504789]) ).
tcf(c_504831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X3,ext(ext(X2,X3,alpha,gamma),X3,X0,X1),X2)
| ~ s_m(X3,X2,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_497176,c_504789]) ).
tcf(c_504832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X3,ext(ext(X0,X3,alpha,gamma),X3,X0,X1),X0)
| ~ s_m(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_498465,c_504789]) ).
tcf(c_504833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ s_m(X3,X2,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_497526,c_504789]) ).
tcf(c_504834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,ext(ext(X6,X5,alpha,gamma),X5,X0,X1),X6)
| ~ s_e(X3,X4,X5,X6)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_479951,c_504789]) ).
tcf(c_505067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,insert5(X0,X1,X4,X2,X3),X2)
| s_t(X2,X3,insert5(X0,X1,X4,X2,X3))
| s_t(insert5(X0,X1,X4,X2,X3),X2,X3)
| ~ s_col(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480519,c_222]) ).
tcf(c_505068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( insert5(X2,X3,X4,X0,X1) = X1 )
| ~ s_col(X2,X3,X4)
| ~ s_e(X2,X3,X0,X1)
| ~ s_r(X0,X1,insert5(X2,X3,X4,X0,X1)) ),
inference(superposition,[status(thm)],[c_480519,c_187]) ).
tcf(c_505069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_r(insert5(X0,X1,X4,X2,X3),X2,X5)
| ( X2 = X3 )
| ~ s_r(X3,X2,X5)
| ~ s_col(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480519,c_181]) ).
tcf(c_505070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_col(X0,X1,X8)
| ( X5 = X6 )
| ( X0 = X1 )
| ( insert5(X2,X3,X4,X5,X6) = X7 )
| ~ s_col(X5,X6,X8)
| ~ s_col(X5,X6,X7)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X7)
| ~ s_e(X2,X3,X5,X6)
| ~ s_col(X0,X1,insert5(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480519,c_152]) ).
tcf(c_505071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(insert5(X0,X1,X4,X2,X3),X5,X6)
| ( X2 = X3 )
| ( insert5(X0,X1,X4,X2,X3) = X5 )
| ~ s_col(X2,X3,X6)
| ~ s_col(X2,X3,X5)
| ~ s_col(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480519,c_151]) ).
tcf(c_505072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X2,insert5(X0,X1,X4,X2,X3),X5)
| ( X2 = X3 )
| ( insert5(X0,X1,X4,X2,X3) = X2 )
| ~ s_col(X2,X3,X5)
| ~ s_col(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480519,c_148]) ).
tcf(c_505073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,X3,insert5(X0,X1,X4,X2,X3))
| s_t(X2,X3,insert5(X0,X1,X4,X2,X3))
| ~ s_col(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480519,c_134]) ).
tcf(c_505074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X2,insert5(X0,X1,X4,X2,X3),X3)
| ~ s_col(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480519,c_98]) ).
tcf(c_505075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X2,insert5(X0,X1,X4,X2,X3))
| ~ s_col(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480519,c_97]) ).
tcf(c_505076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(insert5(X0,X1,X4,X2,X3),X3,X2)
| ~ s_col(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480519,c_96]) ).
tcf(c_505077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(insert5(X0,X1,X4,X2,X3),X2,X3)
| ~ s_col(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480519,c_95]) ).
tcf(c_505078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,insert5(X0,X1,X4,X2,X3),X2)
| ~ s_col(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480519,c_94]) ).
tcf(c_505079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( perpAt(X3,X4,X5,X7,X8)
| ( X7 = X8 )
| ( X5 = X6 )
| ( X3 = X4 )
| ( insert5(X0,X1,X2,X3,X4) = X5 )
| ~ s_col(X7,X8,X6)
| ~ s_col(X7,X8,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,X3,X4)
| ~ s_r(insert5(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480519,c_200]) ).
tcf(c_505148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X3,insert5(X0,X1,X4,X2,X3))
| ~ s_e(X0,X1,X2,X3)
| ~ s_t(X0,X1,X4) ),
inference(global_subsumption_just,[status(thm)],[c_480520,c_2708]) ).
tcf(c_505149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X3,insert5(X0,X1,X4,X2,X3))
| ~ s_t(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(renaming,[status(thm)],[c_505148]) ).
tcf(c_505156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X5,X1,insert5(X2,X3,X4,X5,X1),X0,X1,X6) = X1 )
| ~ s_t(X5,X6,X0)
| ~ s_t(X2,X3,X4)
| ~ s_e(X2,X3,X5,X1)
| ~ s_t(X0,X1,insert5(X2,X3,X4,X5,X1)) ),
inference(superposition,[status(thm)],[c_505149,c_480316]) ).
tcf(c_505157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X0,X4,insert5(X1,X2,X3,X0,X4),X5,X6,insert5(X1,X2,X3,X0,X4)) = insert5(X1,X2,X3,X0,X4) )
| ~ s_t(X1,X2,X3)
| ~ s_e(X1,X2,X0,X4)
| ~ s_t(X5,X6,insert5(X1,X2,X3,X0,X4))
| ~ s_t(X0,insert5(X1,X2,X3,X0,X4),X5) ),
inference(superposition,[status(thm)],[c_505149,c_480254]) ).
tcf(c_505158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = X3 )
| ( ext(X2,X3,X3,insert5(X0,X1,X4,X2,X3)) = insert5(X0,X1,X4,X2,X3) )
| ~ s_t(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_505149,c_480013]) ).
tcf(c_505159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = X3 )
| ( ext(X2,X3,insert5(X0,X1,X4,X2,X3),X3) = insert5(X0,X1,X4,X2,X3) )
| ~ s_t(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_505149,c_480011]) ).
tcf(c_505160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X1,X5,insert5(X2,X3,X4,X1,X5),X0,X1) = X1 )
| ~ s_t(X2,X3,X4)
| ~ s_e(X2,X3,X1,X5)
| ~ s_t(X0,X1,insert5(X2,X3,X4,X1,X5)) ),
inference(superposition,[status(thm)],[c_505149,c_479924]) ).
tcf(c_505161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X5,X0,insert5(X2,X3,X4,X5,X0),X0,X1) = X0 )
| ~ s_t(X2,X3,X4)
| ~ s_e(X2,X3,X5,X0)
| ~ s_t(X0,X1,insert5(X2,X3,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_505149,c_479914]) ).
tcf(c_505162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(insert5(X0,X1,X4,X2,X3),X2,X3)
| ( X2 = X3 )
| ( insert5(X0,X1,X4,X2,X3) = X2 )
| ~ s_t(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_505149,c_238]) ).
tcf(c_505163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X3,X2,insert5(X0,X1,X4,X2,X3))
| ( X2 = xb )
| ( X2 = X3 )
| ~ s_t(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_505149,c_237]) ).
tcf(c_505164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,insert5(X0,X1,X4,X2,X3),X2)
| ~ s_t(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_505149,c_225]) ).
tcf(c_505165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(insert5(X0,X1,X4,X2,X3),X2,X3)
| ~ s_t(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_505149,c_224]) ).
tcf(c_505166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X2,X3,insert5(X0,X1,X4,X2,X3))
| ~ s_t(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_505149,c_223]) ).
tcf(c_505167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X4 = X5 )
| ~ s_r(X3,X5,X4)
| ~ s_t(X0,X1,X2)
| ~ s_e(X0,X1,X3,X4)
| ~ s_r(insert5(X0,X1,X2,X3,X4),X5,X4) ),
inference(superposition,[status(thm)],[c_505149,c_184]) ).
tcf(c_505168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,insert5(X2,X3,X4,X5,X1))
| s_t(X0,X5,insert5(X2,X3,X4,X5,X1))
| ( insert5(X2,X3,X4,X5,X1) = X1 )
| ~ s_t(X2,X3,X4)
| ~ s_e(X2,X3,X5,X1)
| ~ s_t(X0,X1,insert5(X2,X3,X4,X5,X1)) ),
inference(superposition,[status(thm)],[c_505149,c_147]) ).
tcf(c_505169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( X1 = X5 )
| ( insert5(X2,X3,X4,X5,X1) = X1 )
| ~ s_t(X2,X3,X4)
| ~ s_e(X2,X3,X5,X1)
| ~ sameside(X0,X1,insert5(X2,X3,X4,X5,X1)) ),
inference(superposition,[status(thm)],[c_505149,c_145]) ).
tcf(c_505170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X5,X3,X2)
| sameside(X5,X3,insert5(X0,X1,X4,X2,X3))
| ( X3 = X5 )
| ( X2 = X3 )
| ( insert5(X0,X1,X4,X2,X3) = X3 )
| ~ s_col(X5,X3,X2)
| ~ s_t(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_505149,c_143]) ).
tcf(c_505171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ s_t(X2,X3,X4)
| ~ s_e(X2,X3,X0,X1)
| ~ sameside(X0,X1,insert5(X2,X3,X4,X0,X1)) ),
inference(superposition,[status(thm)],[c_505149,c_133]) ).
tcf(c_505172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X5,X1,X0)
| ( X1 = X5 )
| ( X0 = X1 )
| ( insert5(X2,X3,X4,X5,X1) = X1 )
| ~ s_t(X2,X3,X4)
| ~ s_e(X2,X3,X5,X1)
| ~ s_t(X0,X1,insert5(X2,X3,X4,X5,X1)) ),
inference(superposition,[status(thm)],[c_505149,c_131]) ).
tcf(c_505173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X3,insert5(X0,X1,X4,X2,X3))
| ( X3 = X5 )
| ( X2 = X3 )
| ( insert5(X0,X1,X4,X2,X3) = X3 )
| ~ sameside(X2,X3,X5)
| ~ s_t(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_505149,c_125]) ).
tcf(c_505174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,X1)
| s_t(X0,X1,X5)
| ~ s_t(X2,X3,X4)
| ~ s_e(X2,X3,X0,X5)
| ~ s_t(X0,X1,insert5(X2,X3,X4,X0,X5)) ),
inference(superposition,[status(thm)],[c_505149,c_109]) ).
tcf(c_505175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X5,insert5(X0,X1,X4,X2,X3))
| s_t(X3,insert5(X0,X1,X4,X2,X3),X5)
| ( X2 = X3 )
| ~ s_t(X2,X3,X5)
| ~ s_t(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_505149,c_108]) ).
tcf(c_505176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X5,insert5(X0,X1,X4,X2,X3))
| s_t(X2,insert5(X0,X1,X4,X2,X3),X5)
| ( X2 = X3 )
| ~ s_t(X2,X3,X5)
| ~ s_t(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_505149,c_107]) ).
tcf(c_505177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X0,X5)
| ( insert5(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X1,X2,X3)
| ~ s_e(X1,X2,X4,X0)
| ~ s_t(X0,insert5(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_505149,c_81]) ).
tcf(c_505178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X4,X5)
| ~ s_t(X1,X2,X3)
| ~ s_e(X1,X2,X0,X4)
| ~ s_t(X0,insert5(X1,X2,X3,X0,X4),X5) ),
inference(superposition,[status(thm)],[c_505149,c_80]) ).
tcf(c_505179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X1,insert5(X2,X3,X4,X5,X0))
| ~ s_t(X2,X3,X4)
| ~ s_e(X2,X3,X5,X0)
| ~ s_t(X0,X1,insert5(X2,X3,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_505149,c_79]) ).
tcf(c_505180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,insert5(X1,X2,X3,X4,X0),X5)
| ( insert5(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X1,X2,X3)
| ~ s_e(X1,X2,X4,X0)
| ~ s_t(X0,insert5(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_505149,c_78]) ).
tcf(c_505181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,insert5(X1,X2,X3,X0,X4),X5)
| ~ s_t(X1,X2,X3)
| ~ s_e(X1,X2,X0,X4)
| ~ s_t(X0,insert5(X1,X2,X3,X0,X4),X5) ),
inference(superposition,[status(thm)],[c_505149,c_77]) ).
tcf(c_505182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,X1)
| ~ s_t(X2,X3,X4)
| ~ s_e(X2,X3,X5,X0)
| ~ s_t(X0,X1,insert5(X2,X3,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_505149,c_76]) ).
tcf(c_505183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ~ s_t(X2,X3,X4)
| ~ s_e(X2,X3,X1,X0)
| ~ s_t(X0,X1,insert5(X2,X3,X4,X1,X0)) ),
inference(superposition,[status(thm)],[c_505149,c_75]) ).
tcf(c_505184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(insert5(X0,X1,X4,X2,X3),X3,X2)
| ~ s_t(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_505149,c_73]) ).
tcf(c_505185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X3,insert5(X0,X1,X6,X2,ext(X2,X3,X4,X5)))
| ~ s_t(X0,X1,X6)
| ~ s_e(X0,X1,X2,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_505149,c_480204]) ).
tcf(c_505186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ext(X2,X3,X4,X5),insert5(X0,X1,X6,X2,ext(X2,X3,X4,X5)))
| ~ s_t(X0,X1,X6)
| ~ s_e(X0,X1,X2,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_505149,c_480134]) ).
tcf(c_505187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X2,insert5(X0,X1,X6,X2,ext(X3,X2,X4,X5)))
| ( ext(X3,X2,X4,X5) = X2 )
| ~ s_t(X0,X1,X6)
| ~ s_e(X0,X1,X2,ext(X3,X2,X4,X5)) ),
inference(superposition,[status(thm)],[c_505149,c_480227]) ).
tcf(c_505188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ext(X3,X2,X4,X5),insert5(X0,X1,X6,X2,ext(X3,X2,X4,X5)))
| ( ext(X3,X2,X4,X5) = X2 )
| ~ s_t(X0,X1,X6)
| ~ s_e(X0,X1,X2,ext(X3,X2,X4,X5)) ),
inference(superposition,[status(thm)],[c_505149,c_480157]) ).
tcf(c_505189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,ip(X2,X3,X4,X5,X6),insert5(X0,X1,X7,ip(X2,X3,X4,X5,X6),X5))
| ( ip(X2,X3,X4,X5,X6) = X5 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,X7)
| ~ s_e(X0,X1,ip(X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_505149,c_480228]) ).
tcf(c_505190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X5,insert5(X0,X1,X7,ip(X2,X3,X4,X5,X6),X5))
| ( ip(X2,X3,X4,X5,X6) = X5 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,X7)
| ~ s_e(X0,X1,ip(X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_505149,c_480158]) ).
tcf(c_505191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,ip(X2,X3,X4,X5,X6),insert5(X0,X1,X7,ip(X2,X3,X4,X5,X6),X2))
| ( ip(X2,X3,X4,X5,X6) = X2 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,X7)
| ~ s_e(X0,X1,ip(X2,X3,X4,X5,X6),X2) ),
inference(superposition,[status(thm)],[c_505149,c_480229]) ).
tcf(c_505192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,X2,insert5(X0,X1,X7,ip(X2,X3,X4,X5,X6),X2))
| ( ip(X2,X3,X4,X5,X6) = X2 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,X7)
| ~ s_e(X0,X1,ip(X2,X3,X4,X5,X6),X2) ),
inference(superposition,[status(thm)],[c_505149,c_480159]) ).
tcf(c_505193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X7,X4,insert5(X0,X1,X8,crossbar(X2,X3,X4,X5,X6,X7),X4))
| ( crossbar(X2,X3,X4,X5,X6,X7) = X4 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,X8)
| ~ s_e(X0,X1,crossbar(X2,X3,X4,X5,X6,X7),X4) ),
inference(superposition,[status(thm)],[c_505149,c_480258]) ).
tcf(c_505194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X7,crossbar(X2,X3,X4,X5,X6,X7),insert5(X0,X1,X8,crossbar(X2,X3,X4,X5,X6,X7),X4))
| ( crossbar(X2,X3,X4,X5,X6,X7) = X4 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,X8)
| ~ s_e(X0,X1,crossbar(X2,X3,X4,X5,X6,X7),X4) ),
inference(superposition,[status(thm)],[c_505149,c_480255]) ).
tcf(c_505195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,X6,insert5(X0,X1,X8,crossbar(X2,X3,X4,X5,X6,X7),X6))
| ( crossbar(X2,X3,X4,X5,X6,X7) = X6 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,X8)
| ~ s_e(X0,X1,crossbar(X2,X3,X4,X5,X6,X7),X6) ),
inference(superposition,[status(thm)],[c_505149,c_480320]) ).
tcf(c_505196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,crossbar(X2,X3,X4,X5,X6,X7),insert5(X0,X1,X8,crossbar(X2,X3,X4,X5,X6,X7),X6))
| ( crossbar(X2,X3,X4,X5,X6,X7) = X6 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,X8)
| ~ s_e(X0,X1,crossbar(X2,X3,X4,X5,X6,X7),X6) ),
inference(superposition,[status(thm)],[c_505149,c_480317]) ).
tcf(c_505524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( s(ext(X1,X0,X2,X3),X1) = X1 )
| ~ s_r(X0,X1,s(ext(X1,X0,X2,X3),X1)) ),
inference(superposition,[status(thm)],[c_503147,c_187]) ).
tcf(c_505525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(s(ext(X0,X1,X3,X4),X0),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_503147,c_181]) ).
tcf(c_505526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X7)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(ext(X2,X3,X4,X5),X2) = X6 )
| ~ s_col(X3,X2,X7)
| ~ s_col(X3,X2,X6)
| ~ s_col(X0,X1,X6)
| ~ s_col(X0,X1,s(ext(X2,X3,X4,X5),X2)) ),
inference(superposition,[status(thm)],[c_503147,c_152]) ).
tcf(c_505527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(s(ext(X1,X0,X4,X5),X1),X2,X3)
| ( X0 = X1 )
| ( s(ext(X1,X0,X4,X5),X1) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_503147,c_151]) ).
tcf(c_505528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(ext(X1,X0,X3,X4),X1),X2)
| ( X0 = X1 )
| ( s(ext(X1,X0,X3,X4),X1) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_503147,c_148]) ).
tcf(c_505529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,s(ext(X1,X0,X2,X3),X1))
| s_t(X0,X1,s(ext(X1,X0,X2,X3),X1)) ),
inference(superposition,[status(thm)],[c_503147,c_134]) ).
tcf(c_505535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(X1,X0,X4,X6,X7)
| ( X6 = X7 )
| ( X4 = X5 )
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = X4 )
| ~ s_col(X6,X7,X5)
| ~ s_col(X6,X7,X4)
| ~ s_col(X1,X0,X4)
| ~ s_r(s(ext(X0,X1,X2,X3),X0),X4,X5) ),
inference(superposition,[status(thm)],[c_503147,c_200]) ).
tcf(c_505598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ~ s_r(s(ext(X0,X1,X2,X3),X0),X1,X0) ),
inference(superposition,[status(thm)],[c_503148,c_187]) ).
tcf(c_505599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X1,s(ext(X1,X0,X2,X3),X1),X4)
| ( s(ext(X1,X0,X2,X3),X1) = X0 )
| ~ s_r(X0,s(ext(X1,X0,X2,X3),X1),X4) ),
inference(superposition,[status(thm)],[c_503148,c_181]) ).
tcf(c_505600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X6,X7,X5)
| ( X6 = X7 )
| ( X0 = X4 )
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ~ s_col(X6,X7,X4)
| ~ s_col(X6,X7,X0)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X1,X5)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X1,X4) ),
inference(superposition,[status(thm)],[c_503148,c_152]) ).
tcf(c_505601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X4,X5)
| ( X0 = X4 )
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X1,X5)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X1,X4) ),
inference(superposition,[status(thm)],[c_503148,c_151]) ).
tcf(c_505602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(ext(X0,X1,X2,X3),X0),X0,X4)
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X1,X4) ),
inference(superposition,[status(thm)],[c_503148,c_148]) ).
tcf(c_505609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(s(ext(X0,X1,X2,X3),X0),X1,X4,X5,X6)
| ( X5 = X6 )
| ( X4 = X7 )
| ( X0 = X4 )
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ~ s_r(X0,X4,X7)
| ~ s_col(X5,X6,X7)
| ~ s_col(X5,X6,X4)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X1,X4) ),
inference(superposition,[status(thm)],[c_503148,c_200]) ).
tcf(c_505675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,ext(X0,X1,X1,X2),X4,X2)
| ( X1 = X3 )
| ~ s_col(X1,X3,X4)
| ~ s_m(ext(X0,X1,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_240,c_480539]) ).
tcf(c_505676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,ext(X2,X3,X3,X0),X4,X0)
| ( X1 = X3 )
| ~ s_col(X3,X1,X4)
| ~ s_m(X0,X1,ext(X2,X3,X3,X0)) ),
inference(superposition,[status(thm)],[c_486279,c_480539]) ).
tcf(c_505677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,ext(X0,X1,X1,X2),X3,X2)
| ( ext(X0,X1,X1,X2) = X1 )
| ~ s_col(X1,ext(X0,X1,X1,X2),X3)
| ~ s_m(ext(X0,X1,X1,X2),ext(X0,X1,X1,X2),X2) ),
inference(superposition,[status(thm)],[c_486277,c_480539]) ).
tcf(c_505681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,ext(X1,X2,X2,X0),X3,X0)
| ( ext(X1,X2,X2,X0) = X2 )
| ~ s_col(X2,ext(X1,X2,X2,X0),X3)
| ~ s_m(X0,ext(X1,X2,X2,X0),ext(X1,X2,X2,X0)) ),
inference(superposition,[status(thm)],[c_497526,c_480539]) ).
tcf(c_505683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,ext(X3,X1,X1,X1),X2,X1)
| ( X0 = X1 )
| ~ s_col(X1,X0,X2)
| ~ s_e(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_480032,c_480539]) ).
tcf(c_505684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,ext(X3,X0,X0,X0),X2,X0)
| ( X0 = X1 )
| ~ s_col(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_505683,c_61]) ).
tcf(c_505740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X2,X0,X0,X3) = X3 )
| ~ s_m(ext(X2,X0,X0,X3),X1,X3)
| ~ s_col(X0,X1,ext(X2,X0,X0,X3)) ),
inference(superposition,[status(thm)],[c_240,c_480557]) ).
tcf(c_505741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X2,X0,X0,X3) = X3 )
| ~ s_m(X3,X1,ext(X2,X0,X0,X3))
| ~ s_col(X0,X1,ext(X2,X0,X0,X3)) ),
inference(superposition,[status(thm)],[c_486279,c_480557]) ).
tcf(c_505742,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(X1,X0,X0,X2) = X2 )
| ( ext(X1,X0,X0,X2) = X0 )
| ~ s_m(ext(X1,X0,X0,X2),ext(X1,X0,X0,X2),X2)
| ~ s_col(X0,ext(X1,X0,X0,X2),ext(X1,X0,X0,X2)) ),
inference(superposition,[status(thm)],[c_486277,c_480557]) ).
tcf(c_505746,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(X1,X0,X0,X2) = X2 )
| ( ext(X1,X0,X0,X2) = X0 )
| ~ s_m(X2,ext(X1,X0,X0,X2),ext(X1,X0,X0,X2))
| ~ s_col(X0,ext(X1,X0,X0,X2),ext(X1,X0,X0,X2)) ),
inference(superposition,[status(thm)],[c_497526,c_480557]) ).
tcf(c_505748,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ext(X2,X0,X0,X0) = X0 )
| ~ s_e(X1,X0,X1,X0)
| ~ s_col(X0,X1,ext(X2,X0,X0,X0)) ),
inference(superposition,[status(thm)],[c_480032,c_480557]) ).
tcf(c_505765,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(X1,X2,X2,X0) = X2 )
| ( ext(X1,X2,X2,X0) = X0 )
| ~ s_m(X0,ext(X1,X2,X2,X0),ext(X1,X2,X2,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_505746,c_7182]) ).
tcf(c_505769,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(X0,X1,X1,X2) = X2 )
| ( ext(X0,X1,X1,X2) = X1 )
| ~ s_m(ext(X0,X1,X1,X2),ext(X0,X1,X1,X2),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_505742,c_7182]) ).
tcf(c_505906,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(X1,X0,X0,X2) = X2 )
| ~ s_t(X0,ext(X1,X0,X0,X2),X0) ),
inference(superposition,[status(thm)],[c_53,c_480583]) ).
tcf(c_505907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X1,X0,X0,X2) = X2 )
| ~ s_m(ext(X1,X0,X0,X2),X3,X2)
| ~ s_t(X0,ext(X1,X0,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_240,c_480583]) ).
tcf(c_505908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X1,X0,X0,X2) = X2 )
| ~ s_m(X2,X3,ext(X1,X0,X0,X2))
| ~ s_t(X0,ext(X1,X0,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_486279,c_480583]) ).
tcf(c_505909,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(X1,X0,X0,X2) = X2 )
| ~ s_m(ext(X1,X0,X0,X2),ext(X1,X0,X0,X2),X2)
| ~ s_t(X0,ext(X1,X0,X0,X2),ext(X1,X0,X0,X2)) ),
inference(superposition,[status(thm)],[c_486277,c_480583]) ).
tcf(c_505910,plain,
! [X0: $i,X1: $i] :
( ( ext(X1,X0,X0,X0) = X0 )
| ~ s_t(X0,ext(X1,X0,X0,X0),X0) ),
inference(superposition,[status(thm)],[c_479974,c_480583]) ).
tcf(c_505913,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(X1,X0,X0,X2) = X2 )
| ~ s_m(X2,ext(X1,X0,X0,X2),ext(X1,X0,X0,X2))
| ~ s_t(X0,ext(X1,X0,X0,X2),ext(X1,X0,X0,X2)) ),
inference(superposition,[status(thm)],[c_497526,c_480583]) ).
tcf(c_505914,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(X1,X0,X0,X2) = X2 )
| ~ s_e(X0,X2,X0,X2)
| ~ s_t(X0,ext(X1,X0,X0,X2),X0) ),
inference(superposition,[status(thm)],[c_479951,c_480583]) ).
tcf(c_505915,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(X1,X0,X0,X0) = X0 )
| ~ s_e(X2,X0,X2,X0)
| ~ s_t(X0,ext(X1,X0,X0,X0),X2) ),
inference(superposition,[status(thm)],[c_480032,c_480583]) ).
tcf(c_505931,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(X1,X2,X2,X0) = X0 )
| ~ s_m(X0,ext(X1,X2,X2,X0),ext(X1,X2,X2,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_505913,c_72]) ).
tcf(c_505934,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(X0,X1,X1,X2) = X2 )
| ~ s_m(ext(X0,X1,X1,X2),ext(X0,X1,X1,X2),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_505909,c_72]) ).
tcf(c_505997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_r(X0,s(ext(X0,X1,X2,X3),X0),X1) ),
inference(superposition,[status(thm)],[c_503149,c_187]) ).
tcf(c_505998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X1,X0,X4)
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_r(s(ext(X0,X1,X2,X3),X0),X0,X4) ),
inference(superposition,[status(thm)],[c_503149,c_181]) ).
tcf(c_505999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X6,X7,X5)
| ( X6 = X7 )
| ( X1 = X4 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(X6,X7,X4)
| ~ s_col(X6,X7,X1)
| ~ s_col(X0,s(ext(X0,X1,X2,X3),X0),X5)
| ~ s_col(X0,s(ext(X0,X1,X2,X3),X0),X4) ),
inference(superposition,[status(thm)],[c_503149,c_152]) ).
tcf(c_506000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X1,X4,X5)
| ( X1 = X4 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(X0,s(ext(X0,X1,X2,X3),X0),X5)
| ~ s_col(X0,s(ext(X0,X1,X2,X3),X0),X4) ),
inference(superposition,[status(thm)],[c_503149,c_151]) ).
tcf(c_506001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(X0,s(ext(X0,X1,X2,X3),X0),X4) ),
inference(superposition,[status(thm)],[c_503149,c_148]) ).
tcf(c_506002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,s(ext(X0,X1,X2,X3),X0),X1)
| s_t(X0,s(ext(X0,X1,X2,X3),X0),X1) ),
inference(superposition,[status(thm)],[c_503149,c_134]) ).
tcf(c_506008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(X0,s(ext(X0,X1,X2,X3),X0),X4,X5,X6)
| ( X5 = X6 )
| ( X4 = X7 )
| ( X1 = X4 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_r(X1,X4,X7)
| ~ s_col(X5,X6,X7)
| ~ s_col(X5,X6,X4)
| ~ s_col(X0,s(ext(X0,X1,X2,X3),X0),X4) ),
inference(superposition,[status(thm)],[c_503149,c_200]) ).
tcf(c_506053,plain,
! [X0: $i,X1: $i] :
( s_e(X0,X0,X0,X1)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_480889,c_480947]) ).
tcf(c_506054,plain,
! [X0: $i,X1: $i] :
( s_e(X0,X0,X1,X0)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_485317,c_480947]) ).
tcf(c_506067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X2,X1)
| s_t(X0,ext(X0,X1,X3,X3),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480032,c_480599]) ).
tcf(c_506069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(X2,X3,X4,X5),X1)
| ( X2 = X3 )
| ( crossbar(X2,X1,ext(X2,X3,X4,X5),X0,X1,X6) = X1 )
| ~ s_t(X2,X6,X0)
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480599,c_480316]) ).
tcf(c_506070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ext(X0,X1,X2,X3),X6)
| ( X0 = X1 )
| ( crossbar(X0,X6,ext(X0,X1,X2,X3),X4,X5,ext(X0,X1,X2,X3)) = ext(X0,X1,X2,X3) )
| ~ s_t(X0,X1,X6)
| ~ s_t(X4,X5,ext(X0,X1,X2,X3))
| ~ s_t(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480599,c_480254]) ).
tcf(c_506071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ext(X0,X1,X3,X4),X2)
| ( X0 = X2 )
| ( X0 = X1 )
| ( ext(X0,X2,X2,ext(X0,X1,X3,X4)) = ext(X0,X1,X3,X4) )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_480013]) ).
tcf(c_506072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ext(X0,X1,X3,X4),X2)
| ( X0 = X2 )
| ( X0 = X1 )
| ( ext(X0,X2,ext(X0,X1,X3,X4),X2) = ext(X0,X1,X3,X4) )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_480011]) ).
tcf(c_506073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ext(X1,X2,X3,X4),X5)
| ( X1 = X2 )
| ( ip(X1,X5,ext(X1,X2,X3,X4),X0,X1) = X1 )
| ~ s_t(X1,X2,X5)
| ~ s_t(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480599,c_479924]) ).
tcf(c_506074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ext(X2,X3,X4,X5),X0)
| ( X2 = X3 )
| ( ip(X2,X0,ext(X2,X3,X4,X5),X0,X1) = X0 )
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480599,c_479914]) ).
tcf(c_506075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(ext(X0,X1,X3,X4),X0,X2)
| s_t(X0,ext(X0,X1,X3,X4),X2)
| ( X0 = X2 )
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_238]) ).
tcf(c_506076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,X0,ext(X0,X1,X3,X4))
| s_t(X0,ext(X0,X1,X3,X4),X2)
| ( X0 = xb )
| ( X0 = X2 )
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_237]) ).
tcf(c_506077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X2,ext(X0,X1,X3,X4),X0)
| s_t(X0,ext(X0,X1,X3,X4),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_225]) ).
tcf(c_506078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,X1,X3,X4),X0,X2)
| s_t(X0,ext(X0,X1,X3,X4),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_224]) ).
tcf(c_506079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X2,ext(X0,X1,X3,X4))
| s_t(X0,ext(X0,X1,X3,X4),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_223]) ).
tcf(c_506080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(X0,X1,X2,X3),X5)
| ( X4 = X5 )
| ( X0 = X1 )
| ~ s_r(X0,X4,X5)
| ~ s_t(X0,X1,X5)
| ~ s_r(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480599,c_184]) ).
tcf(c_506081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X0,ext(X2,X3,X4,X5))
| s_t(X2,ext(X2,X3,X4,X5),X1)
| s_t(X0,X2,ext(X2,X3,X4,X5))
| ( X2 = X3 )
| ( ext(X2,X3,X4,X5) = X1 )
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480599,c_147]) ).
tcf(c_506082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X2)
| s_t(X2,ext(X2,X3,X4,X5),X1)
| ( X2 = X3 )
| ( X1 = X2 )
| ( ext(X2,X3,X4,X5) = X1 )
| ~ s_t(X2,X3,X1)
| ~ sameside(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480599,c_145]) ).
tcf(c_506083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,X2,X0)
| sameside(X3,X2,ext(X0,X1,X4,X5))
| s_t(X0,ext(X0,X1,X4,X5),X2)
| ( X2 = X3 )
| ( X0 = X2 )
| ( X0 = X1 )
| ( ext(X0,X1,X4,X5) = X2 )
| ~ s_col(X3,X2,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_143]) ).
tcf(c_506084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ext(X0,X2,X3,X4),X1)
| ( X0 = X2 )
| ~ s_t(X0,X2,X1)
| ~ sameside(X0,X1,ext(X0,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480599,c_133]) ).
tcf(c_506085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X2,X1,X0)
| s_t(X2,ext(X2,X3,X4,X5),X1)
| ( X2 = X3 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X3,X4,X5) = X1 )
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480599,c_131]) ).
tcf(c_506086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,ext(X0,X1,X4,X5))
| s_t(X0,ext(X0,X1,X4,X5),X2)
| ( X2 = X3 )
| ( X0 = X2 )
| ( X0 = X1 )
| ( ext(X0,X1,X4,X5) = X2 )
| ~ sameside(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_125]) ).
tcf(c_506087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,X1)
| s_t(X0,X1,X5)
| s_t(X0,ext(X0,X2,X3,X4),X5)
| ( X0 = X2 )
| ~ s_t(X0,X2,X5)
| ~ s_t(X0,X1,ext(X0,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480599,c_109]) ).
tcf(c_506088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X3,ext(X0,X1,X4,X5))
| s_t(X2,ext(X0,X1,X4,X5),X3)
| s_t(X0,ext(X0,X1,X4,X5),X2)
| ( X0 = X2 )
| ( X0 = X1 )
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_108]) ).
tcf(c_506089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X3,ext(X0,X1,X4,X5))
| s_t(X0,ext(X0,X1,X4,X5),X3)
| s_t(X0,ext(X0,X1,X4,X5),X2)
| ( X0 = X2 )
| ( X0 = X1 )
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_107]) ).
tcf(c_506090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X0,X5)
| s_t(X1,ext(X1,X2,X3,X4),X0)
| ( X1 = X2 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X1,X2,X0)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480599,c_81]) ).
tcf(c_506091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,X4)
| s_t(X0,ext(X0,X1,X2,X3),X5)
| ( X0 = X1 )
| ~ s_t(X0,X1,X5)
| ~ s_t(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480599,c_80]) ).
tcf(c_506092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,ext(X2,X3,X4,X5))
| s_t(X2,ext(X2,X3,X4,X5),X0)
| ( X2 = X3 )
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480599,c_79]) ).
tcf(c_506093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ext(X1,X2,X3,X4),X5)
| s_t(X1,ext(X1,X2,X3,X4),X0)
| ( X1 = X2 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X1,X2,X0)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480599,c_78]) ).
tcf(c_506094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ext(X0,X1,X2,X3),X4)
| s_t(X0,ext(X0,X1,X2,X3),X5)
| ( X0 = X1 )
| ~ s_t(X0,X1,X5)
| ~ s_t(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480599,c_77]) ).
tcf(c_506095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X0,X1)
| s_t(X2,ext(X2,X3,X4,X5),X0)
| ( X2 = X3 )
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480599,c_76]) ).
tcf(c_506096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(X1,X2,X3,X4),X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ s_t(X1,X2,X0)
| ~ s_t(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480599,c_75]) ).
tcf(c_506097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ext(X0,X1,X3,X4),X2)
| s_t(ext(X0,X1,X3,X4),X2,X0)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_73]) ).
tcf(c_506102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X2,ext(X0,X1,X5,X6))
| s_t(X0,ext(X0,X1,X5,X6),ext(X0,X2,X3,X4))
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X0,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480599,c_480204]) ).
tcf(c_506103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(X0,X2,X3,X4),ext(X0,X1,X5,X6))
| s_t(X0,ext(X0,X1,X5,X6),ext(X0,X2,X3,X4))
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X0,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480599,c_480134]) ).
tcf(c_506104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X0,ext(X0,X1,X5,X6))
| s_t(X0,ext(X0,X1,X5,X6),ext(X2,X0,X3,X4))
| ( X0 = X1 )
| ( ext(X2,X0,X3,X4) = X0 )
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480599,c_480227]) ).
tcf(c_506105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(X2,X0,X3,X4),ext(X0,X1,X5,X6))
| s_t(X0,ext(X0,X1,X5,X6),ext(X2,X0,X3,X4))
| ( X0 = X1 )
| ( ext(X2,X0,X3,X4) = X0 )
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480599,c_480157]) ).
tcf(c_506106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X5,X6,X7))
| s_t(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X5,X6,X7),X3)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_480599,c_480228]) ).
tcf(c_506107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X3,ext(ip(X0,X1,X2,X3,X4),X5,X6,X7))
| s_t(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X5,X6,X7),X3)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_480599,c_480158]) ).
tcf(c_506108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X5,X6,X7))
| s_t(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X5,X6,X7),X0)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_480599,c_480229]) ).
tcf(c_506109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,X0,ext(ip(X0,X1,X2,X3,X4),X5,X6,X7))
| s_t(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X5,X6,X7),X0)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_480599,c_480159]) ).
tcf(c_506111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X5,X2,ext(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),ext(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8),X2)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_480599,c_480258]) ).
tcf(c_506112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),ext(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),ext(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8),X2)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_480599,c_480255]) ).
tcf(c_506113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,X4,ext(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),ext(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8),X4)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_480599,c_480320]) ).
tcf(c_506114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),ext(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),ext(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8),X4)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_480599,c_480317]) ).
tcf(c_506120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X0,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_480599,c_55]) ).
tcf(c_506121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X5,ext(X1,X2,X3,X4))
| ( X1 = X2 )
| ( crossbar(X1,ext(X1,X2,X3,X4),X5,X0,ext(X1,X2,X3,X4),X6) = ext(X1,X2,X3,X4) )
| ~ s_t(X1,X6,X0)
| ~ s_t(X1,X2,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480599,c_480316]) ).
tcf(c_506122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X2,ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ( crossbar(X0,ext(X0,X1,X5,X6),X2,X3,X4,X2) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_480254]) ).
tcf(c_506123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X0 )
| ( ext(X0,ext(X0,X1,X3,X4),ext(X0,X1,X3,X4),X2) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_480013]) ).
tcf(c_506124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X0 )
| ( ext(X0,ext(X0,X1,X3,X4),X2,ext(X0,X1,X3,X4)) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_480011]) ).
tcf(c_506125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X2,ext(X0,X1,X4,X5))
| ( X0 = X1 )
| ( ip(X0,ext(X0,X1,X4,X5),X2,X3,X0) = X0 )
| ~ s_t(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_479924]) ).
tcf(c_506126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ip(X0,ext(X0,X1,X2,X3),X5,ext(X0,X1,X2,X3),X4) = ext(X0,X1,X2,X3) )
| ~ s_t(X0,X1,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480599,c_479914]) ).
tcf(c_506127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,X0,ext(X0,X1,X3,X4))
| s_t(X0,X2,ext(X0,X1,X3,X4))
| ( X0 = X2 )
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_238]) ).
tcf(c_506128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(ext(X0,X1,X3,X4),X0,X2)
| s_t(X0,X2,ext(X0,X1,X3,X4))
| ( X0 = xb )
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_237]) ).
tcf(c_506129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,X1,X3,X4),X2,X0)
| s_t(X0,X2,ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_225]) ).
tcf(c_506130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X2,X0,ext(X0,X1,X3,X4))
| s_t(X0,X2,ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_224]) ).
tcf(c_506131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X0,X1,X3,X4),X2)
| s_t(X0,X2,ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_223]) ).
tcf(c_506132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,ext(X0,X2,X3,X4))
| ( X0 = X2 )
| ( ext(X0,X2,X3,X4) = X1 )
| ~ s_t(X0,X2,X5)
| ~ s_r(X5,X1,ext(X0,X2,X3,X4))
| ~ s_r(X0,X1,ext(X0,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480599,c_184]) ).
tcf(c_506133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X0,X5)
| s_t(X0,X1,X5)
| s_t(X1,X5,ext(X1,X2,X3,X4))
| ( X1 = X2 )
| ( ext(X1,X2,X3,X4) = X5 )
| ~ s_t(X1,X2,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480599,c_147]) ).
tcf(c_506134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,ext(X1,X2,X3,X4),X1)
| s_t(X1,X5,ext(X1,X2,X3,X4))
| ( X1 = X2 )
| ( ext(X1,X2,X3,X4) = X5 )
| ( ext(X1,X2,X3,X4) = X1 )
| ~ s_t(X1,X2,X5)
| ~ sameside(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480599,c_145]) ).
tcf(c_506135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,ext(X1,X2,X3,X4),X5)
| sameside(X0,ext(X1,X2,X3,X4),X1)
| s_t(X1,X5,ext(X1,X2,X3,X4))
| ( X1 = X2 )
| ( ext(X1,X2,X3,X4) = X5 )
| ( ext(X1,X2,X3,X4) = X1 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X1,X2,X5)
| ~ s_col(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_480599,c_143]) ).
tcf(c_506136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ sameside(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480599,c_133]) ).
tcf(c_506137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X1,ext(X1,X2,X3,X4),X0)
| s_t(X1,X5,ext(X1,X2,X3,X4))
| ( X1 = X2 )
| ( ext(X1,X2,X3,X4) = X5 )
| ( ext(X1,X2,X3,X4) = X1 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X1,X2,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480599,c_131]) ).
tcf(c_506138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ext(X0,X1,X2,X3),X5)
| s_t(X0,X5,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X5 )
| ( ext(X0,X1,X2,X3) = X4 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_t(X0,X1,X5)
| ~ sameside(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480599,c_125]) ).
tcf(c_506139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X3,ext(X0,X1,X4,X5))
| s_t(X0,X2,ext(X0,X1,X4,X5))
| s_t(X0,ext(X0,X1,X4,X5),X3)
| ( X0 = X1 )
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_109]) ).
tcf(c_506140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,ext(X0,X1,X2,X3))
| s_t(ext(X0,X1,X2,X3),X5,X4)
| s_t(ext(X0,X1,X2,X3),X4,X5)
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_t(X0,X1,X5)
| ~ s_t(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480599,c_108]) ).
tcf(c_506141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,X4)
| s_t(X0,X4,X5)
| s_t(X0,X5,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_t(X0,X1,X5)
| ~ s_t(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480599,c_107]) ).
tcf(c_506142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X4,ext(X0,X1,X2,X3))
| s_t(X0,ext(X0,X1,X2,X3),X5)
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X4 )
| ~ s_t(X0,X1,X4)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480599,c_81]) ).
tcf(c_506143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X2,ext(X0,X1,X4,X5))
| s_t(X0,ext(X0,X1,X4,X5),X3)
| ( X0 = X1 )
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_80]) ).
tcf(c_506144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X4,X5)
| s_t(X0,X5,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ~ s_t(X0,X1,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480599,c_79]) ).
tcf(c_506145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X4,X5)
| s_t(X0,X4,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X4 )
| ~ s_t(X0,X1,X4)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480599,c_78]) ).
tcf(c_506146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X2,ext(X0,X1,X4,X5))
| s_t(ext(X0,X1,X4,X5),X2,X3)
| ( X0 = X1 )
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_77]) ).
tcf(c_506147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,ext(X0,X1,X2,X3))
| s_t(X0,ext(X0,X1,X2,X3),X4)
| ( X0 = X1 )
| ~ s_t(X0,X1,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480599,c_76]) ).
tcf(c_506148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_t(X0,X1,X4)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_480599,c_75]) ).
tcf(c_506149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,ext(X0,X1,X3,X4),X0)
| s_t(X0,X2,ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_73]) ).
tcf(c_506150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(ext(X0,X1,X2,X3),X0,X4,X5),ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_t(X0,X1,ext(ext(X0,X1,X2,X3),X0,X4,X5)) ),
inference(superposition,[status(thm)],[c_480599,c_480090]) ).
tcf(c_506151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ext(X2,X0,X3,X4),ext(X0,X1,X5,X6))
| s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X0,ext(X0,X1,X5,X6)),X4)
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480599,c_480407]) ).
tcf(c_506152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(X0,X1,X5,X6),ext(X2,X0,X3,X4))
| s_t(X0,ext(X2,X0,X3,X4),ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480599,c_480181]) ).
tcf(c_506153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X0,ext(X0,X1,X5,X6))
| s_t(X0,ext(X2,X0,X3,X4),ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480599,c_480111]) ).
tcf(c_506155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(X0,X1,X3,X4),X2)
| s_t(X0,X2,ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480599,c_480134]) ).
tcf(c_506158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ext(ip(X0,X1,X2,X3,X4),X5,X6,X7),X3)
| s_t(ip(X0,X1,X2,X3,X4),X3,ext(ip(X0,X1,X2,X3,X4),X5,X6,X7))
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_480599,c_480182]) ).
tcf(c_506159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X5,X6,X7))
| s_t(ip(X0,X1,X2,X3,X4),X3,ext(ip(X0,X1,X2,X3,X4),X5,X6,X7))
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_480599,c_480112]) ).
tcf(c_506160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,ext(ip(X0,X1,X2,X3,X4),X5,X6,X7),X0)
| s_t(ip(X0,X1,X2,X3,X4),X0,ext(ip(X0,X1,X2,X3,X4),X5,X6,X7))
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_480599,c_480183]) ).
tcf(c_506161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X5,X6,X7))
| s_t(ip(X0,X1,X2,X3,X4),X0,ext(ip(X0,X1,X2,X3,X4),X5,X6,X7))
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_480599,c_480113]) ).
tcf(c_506162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ext(X2,ext(X0,X1,X3,X4),X5,X6),ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X0 )
| ( ext(X0,ext(X0,X1,X3,X4),X5,X6) = ext(X2,ext(X0,X1,X3,X4),X5,X6) )
| ~ s_t(X0,X1,ext(X2,ext(X0,X1,X3,X4),X5,X6)) ),
inference(superposition,[status(thm)],[c_480599,c_480012]) ).
tcf(c_506163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),ext(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,ext(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_480599,c_480260]) ).
tcf(c_506164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X5,ext(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8),X2)
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,ext(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_480599,c_480257]) ).
tcf(c_506165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),ext(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,ext(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_480599,c_480322]) ).
tcf(c_506166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ext(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8),X4)
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,ext(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_480599,c_480319]) ).
tcf(c_506167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ext(X0,X1,X2,X3),ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X0,X1,X2,X3)) ),
inference(equality_factoring,[status(thm)],[c_480599]) ).
tcf(c_506851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X3,ext(X1,ip(X0,X1,X2,X3,X4),X5,X6))
| s_t(X1,ext(X1,ip(X0,X1,X2,X3,X4),X5,X6),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_480600]) ).
tcf(c_506852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_56,c_480600]) ).
tcf(c_506853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X3,X0)
| s_t(X1,X0,X3)
| ( ip(X0,X1,X2,X3,X1) = X1 )
| ~ s_t(X3,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_480600]) ).
tcf(c_506854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,ip(X0,X1,X2,X3,X4))
| s_t(X1,ip(X0,X1,X2,X3,X4),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_480600]) ).
tcf(c_506855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X3,ins(X5,X6,X0,ip(X1,X0,X2,X3,X4)))
| s_t(X0,ins(X5,X6,X0,ip(X1,X0,X2,X3,X4)),X3)
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ le(X0,ip(X1,X0,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_110,c_480600]) ).
tcf(c_506856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X3,c63(X0,ip(X1,X0,X2,X3,X4),X5))
| s_t(X0,c63(X0,ip(X1,X0,X2,X3,X4),X5),X3)
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ sameside(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_129,c_480600]) ).
tcf(c_506857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X4,c63(X0,ip(X1,X2,X3,X4,X5),X2))
| s_t(X2,c63(X0,ip(X1,X2,X3,X4,X5),X2),X4)
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X2) ),
inference(superposition,[status(thm)],[c_130,c_480600]) ).
tcf(c_506858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X5,insert5(X0,X1,X7,X2,ip(X3,X2,X4,X5,X6)))
| s_t(X2,insert5(X0,X1,X7,X2,ip(X3,X2,X4,X5,X6)),X5)
| ( ip(X3,X2,X4,X5,X6) = X2 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X2,X4)
| ~ s_t(X0,X1,X7)
| ~ s_e(X0,X1,X2,ip(X3,X2,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_505149,c_480600]) ).
tcf(c_506859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,s(ip(X0,X1,X2,X3,X4),X1))
| s_t(X1,s(ip(X0,X1,X2,X3,X4),X1),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_480600]) ).
tcf(c_506862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X4,X3)
| s_t(X1,X3,X4)
| ( ip(X0,X1,X2,X4,X1) = X1 )
| ~ s_t(X4,X1,X2)
| ~ s_t(X1,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_480600]) ).
tcf(c_506863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X3,X2)
| s_t(X0,X2,X3)
| ( ip(X0,X0,X1,X2,X3) = X0 )
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_480075,c_480600]) ).
tcf(c_506864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X4,ext(X0,X1,X6,X7))
| s_t(X0,ext(X0,X1,X6,X7),X4)
| s_t(X0,ext(X0,X1,X6,X7),ip(X2,X0,X3,X4,X5))
| ( X0 = X1 )
| ( ip(X2,X0,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,ip(X2,X0,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480599,c_480600]) ).
tcf(c_506865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X3,s(ext(X1,ip(X0,X1,X2,X3,X4),X5,X6),X1))
| s_t(X1,s(ext(X1,ip(X0,X1,X2,X3,X4),X5,X6),X1),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_480600]) ).
tcf(c_506866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X1,X0)
| s_t(X3,X0,X1)
| ( ip(X3,X3,X2,X0,X1) = X3 )
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_506863,c_74]) ).
tcf(c_507015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X0,ext(X4,ip(X0,X1,X2,X3,X4),X5,X6))
| s_t(X4,ext(X4,ip(X0,X1,X2,X3,X4),X5,X6),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_480601]) ).
tcf(c_507017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_480601]) ).
tcf(c_507018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,ip(X0,X1,X2,X3,X4))
| s_t(X4,ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_480601]) ).
tcf(c_507019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X1,ins(X5,X6,X0,ip(X1,X2,X3,X4,X0)))
| s_t(X0,ins(X5,X6,X0,ip(X1,X2,X3,X4,X0)),X1)
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ le(X0,ip(X1,X2,X3,X4,X0),X5,X6) ),
inference(superposition,[status(thm)],[c_110,c_480601]) ).
tcf(c_507020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,c63(X0,ip(X1,X2,X3,X4,X0),X5))
| s_t(X0,c63(X0,ip(X1,X2,X3,X4,X0),X5),X1)
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_129,c_480601]) ).
tcf(c_507021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X1,c63(X0,ip(X1,X2,X3,X4,X5),X5))
| s_t(X5,c63(X0,ip(X1,X2,X3,X4,X5),X5),X1)
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X5) ),
inference(superposition,[status(thm)],[c_130,c_480601]) ).
tcf(c_507022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X3,insert5(X0,X1,X7,X2,ip(X3,X4,X5,X6,X2)))
| s_t(X2,insert5(X0,X1,X7,X2,ip(X3,X4,X5,X6,X2)),X3)
| ( ip(X3,X4,X5,X6,X2) = X2 )
| ~ s_t(X6,X2,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,X1,X7)
| ~ s_e(X0,X1,X2,ip(X3,X4,X5,X6,X2)) ),
inference(superposition,[status(thm)],[c_505149,c_480601]) ).
tcf(c_507023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,s(ip(X0,X1,X2,X3,X4),X4))
| s_t(X4,s(ip(X0,X1,X2,X3,X4),X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_480601]) ).
tcf(c_507024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X4,X0)
| s_t(X1,X0,X4)
| ( ip(X0,X1,X2,X3,X1) = X1 )
| ~ s_t(X3,X1,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_480601]) ).
tcf(c_507025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X1,X0)
| s_t(X3,X0,X1)
| ( ip(X0,X1,X2,X3,X3) = X3 )
| ~ s_t(X3,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480074,c_480601]) ).
tcf(c_507028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X2,ext(X0,X1,X6,X7))
| s_t(X0,ext(X0,X1,X6,X7),X2)
| s_t(X0,ext(X0,X1,X6,X7),ip(X2,X3,X4,X5,X0))
| ( X0 = X1 )
| ( ip(X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_480599,c_480601]) ).
tcf(c_507029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X0,s(ext(X4,ip(X0,X1,X2,X3,X4),X5,X6),X4))
| s_t(X4,s(ext(X4,ip(X0,X1,X2,X3,X4),X5,X6),X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_480601]) ).
tcf(c_507030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X1,X0)
| s_t(X3,X0,X1)
| ( ip(X0,X1,X2,X3,X3) = X3 )
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_507025,c_74]) ).
tcf(c_507140,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X2,X0,X1)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_506053,c_479966]) ).
tcf(c_507196,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X2,X1,X0)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_506054,c_479966]) ).
tcf(c_507218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X4,ext(X1,crossbar(X0,X3,X4,X2,X5,X1),X6,X7))
| s_t(X1,ext(X1,crossbar(X0,X3,X4,X2,X5,X1),X6,X7),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_480604]) ).
tcf(c_507219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X4,crossbar(X0,X3,X4,X2,X5,X1))
| s_t(X1,crossbar(X0,X3,X4,X2,X5,X1),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_480604]) ).
tcf(c_507220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_480604]) ).
tcf(c_507221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X4,X2)
| s_t(X1,X2,X4)
| ( crossbar(X0,X1,X2,X3,X4,X1) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_480604]) ).
tcf(c_507222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X3,ins(X6,X7,X0,crossbar(X1,X2,X3,X4,X5,X0)))
| s_t(X0,ins(X6,X7,X0,crossbar(X1,X2,X3,X4,X5,X0)),X3)
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ le(X0,crossbar(X1,X2,X3,X4,X5,X0),X6,X7) ),
inference(superposition,[status(thm)],[c_110,c_480604]) ).
tcf(c_507223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X3,c63(X0,crossbar(X1,X2,X3,X4,X5,X0),X6))
| s_t(X0,c63(X0,crossbar(X1,X2,X3,X4,X5,X0),X6),X3)
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_129,c_480604]) ).
tcf(c_507224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X3,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X6))
| s_t(X6,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X6),X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X6) ),
inference(superposition,[status(thm)],[c_130,c_480604]) ).
tcf(c_507225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,X5,insert5(X0,X1,X8,X2,crossbar(X3,X4,X5,X6,X7,X2)))
| s_t(X2,insert5(X0,X1,X8,X2,crossbar(X3,X4,X5,X6,X7,X2)),X5)
| ( crossbar(X3,X4,X5,X6,X7,X2) = X2 )
| ~ s_t(X6,X7,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X3,X2,X6)
| ~ s_t(X0,X1,X8)
| ~ s_e(X0,X1,X2,crossbar(X3,X4,X5,X6,X7,X2)) ),
inference(superposition,[status(thm)],[c_505149,c_480604]) ).
tcf(c_507226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X4,s(crossbar(X0,X3,X4,X2,X5,X1),X1))
| s_t(X1,s(crossbar(X0,X3,X4,X2,X5,X1),X1),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_480604]) ).
tcf(c_507227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,X4,ext(X0,X1,X7,X8))
| s_t(X0,ext(X0,X1,X7,X8),X4)
| s_t(X0,ext(X0,X1,X7,X8),crossbar(X2,X3,X4,X5,X6,X0))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,X6,X0) = X0 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X0,X5)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X0)) ),
inference(superposition,[status(thm)],[c_480599,c_480604]) ).
tcf(c_507230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,X2)
| s_t(X1,X2,X5)
| ( crossbar(X0,X1,X2,X3,X4,X1) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X4,X5)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_480604]) ).
tcf(c_507231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X2,X1)
| s_t(X3,X1,X2)
| ( crossbar(X0,X1,X2,X4,X3,X3) = X3 )
| ~ s_t(X4,X3,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480324,c_480604]) ).
tcf(c_507232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X4,s(ext(X1,crossbar(X0,X3,X4,X2,X5,X1),X6,X7),X1))
| s_t(X1,s(ext(X1,crossbar(X0,X3,X4,X2,X5,X1),X6,X7),X1),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_480604]) ).
tcf(c_507333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X5,ext(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,X7))
| s_t(X1,ext(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_480605]) ).
tcf(c_507334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,crossbar(X0,X1,X2,X4,X5,X3))
| s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_480605]) ).
tcf(c_507336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_480605]) ).
tcf(c_507337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X4,ins(X6,X7,X0,crossbar(X1,X0,X2,X3,X4,X5)))
| s_t(X0,ins(X6,X7,X0,crossbar(X1,X0,X2,X3,X4,X5)),X4)
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ le(X0,crossbar(X1,X0,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_110,c_480605]) ).
tcf(c_507338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X4,c63(X0,crossbar(X1,X0,X2,X3,X4,X5),X6))
| s_t(X0,c63(X0,crossbar(X1,X0,X2,X3,X4,X5),X6),X4)
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ sameside(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_129,c_480605]) ).
tcf(c_507339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X5,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X2))
| s_t(X2,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X2),X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X2) ),
inference(superposition,[status(thm)],[c_130,c_480605]) ).
tcf(c_507340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,X6,insert5(X0,X1,X8,X2,crossbar(X3,X2,X4,X5,X6,X7)))
| s_t(X2,insert5(X0,X1,X8,X2,crossbar(X3,X2,X4,X5,X6,X7)),X6)
| ( crossbar(X3,X2,X4,X5,X6,X7) = X2 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X7,X5)
| ~ s_t(X3,X2,X4)
| ~ s_t(X0,X1,X8)
| ~ s_e(X0,X1,X2,crossbar(X3,X2,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_505149,c_480605]) ).
tcf(c_507341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,s(crossbar(X0,X1,X2,X4,X5,X3),X1))
| s_t(X1,s(crossbar(X0,X1,X2,X4,X5,X3),X1),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_480605]) ).
tcf(c_507342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,X5,ext(X0,X1,X7,X8))
| s_t(X0,ext(X0,X1,X7,X8),X5)
| s_t(X0,ext(X0,X1,X7,X8),crossbar(X2,X0,X3,X4,X5,X6))
| ( X0 = X1 )
| ( crossbar(X2,X0,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,crossbar(X2,X0,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480599,c_480605]) ).
tcf(c_507343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,X4)
| s_t(X1,X4,X5)
| ( crossbar(X0,X1,X2,X3,X5,X1) = X1 )
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X2,X4)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_480605]) ).
tcf(c_507344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X4,X2)
| s_t(X1,X2,X4)
| ( crossbar(X0,X1,X1,X3,X4,X2) = X1 )
| ~ s_t(X3,X4,X1)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_480262,c_480605]) ).
tcf(c_507347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X5,s(ext(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X1))
| s_t(X1,s(ext(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X1),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_480605]) ).
tcf(c_507348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X3,X1)
| s_t(X4,X1,X3)
| ( crossbar(X0,X4,X4,X2,X3,X1) = X4 )
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_507344,c_72]) ).
tcf(c_507453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X2,X1)
| s_t(X1,ext(X0,X1,X3,X3),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480032,c_480646]) ).
tcf(c_507454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X1,X2)
| s_t(X1,X2,ext(X0,X1,X3,X3))
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480032,c_480646]) ).
tcf(c_507455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ext(X2,X3,X4,X5),X1)
| ( X2 = X3 )
| ( crossbar(X3,X1,ext(X2,X3,X4,X5),X0,X1,X6) = X1 )
| ~ s_t(X3,X6,X0)
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480646,c_480316]) ).
tcf(c_507456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ext(X1,X0,X2,X3),X6)
| ( X0 = X1 )
| ( crossbar(X0,X6,ext(X1,X0,X2,X3),X4,X5,ext(X1,X0,X2,X3)) = ext(X1,X0,X2,X3) )
| ~ s_t(X1,X0,X6)
| ~ s_t(X4,X5,ext(X1,X0,X2,X3))
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480646,c_480254]) ).
tcf(c_507457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(X0,X1,X3,X4),X2)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X1,X2,X2,ext(X0,X1,X3,X4)) = ext(X0,X1,X3,X4) )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_480013]) ).
tcf(c_507458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(X0,X1,X3,X4),X2)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X1,X2,ext(X0,X1,X3,X4),X2) = ext(X0,X1,X3,X4) )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_480011]) ).
tcf(c_507459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ext(X2,X1,X3,X4),X5)
| ( X1 = X2 )
| ( ip(X1,X5,ext(X2,X1,X3,X4),X0,X1) = X1 )
| ~ s_t(X2,X1,X5)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480646,c_479924]) ).
tcf(c_507460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ext(X2,X3,X4,X5),X0)
| ( X2 = X3 )
| ( ip(X3,X0,ext(X2,X3,X4,X5),X0,X1) = X0 )
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480646,c_479914]) ).
tcf(c_507461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(ext(X0,X1,X3,X4),X1,X2)
| s_t(X1,ext(X0,X1,X3,X4),X2)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_238]) ).
tcf(c_507462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,X1,ext(X0,X1,X3,X4))
| s_t(X1,ext(X0,X1,X3,X4),X2)
| ( X1 = xb )
| ( X1 = X2 )
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_237]) ).
tcf(c_507463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X2,ext(X0,X1,X3,X4),X1)
| s_t(X1,ext(X0,X1,X3,X4),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_225]) ).
tcf(c_507464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,X1,X3,X4),X1,X2)
| s_t(X1,ext(X0,X1,X3,X4),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_224]) ).
tcf(c_507465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X2,ext(X0,X1,X3,X4))
| s_t(X1,ext(X0,X1,X3,X4),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_223]) ).
tcf(c_507466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ext(X0,X1,X2,X3),X5)
| ( X4 = X5 )
| ( X0 = X1 )
| ~ s_r(X1,X4,X5)
| ~ s_t(X0,X1,X5)
| ~ s_r(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480646,c_184]) ).
tcf(c_507467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X0,ext(X2,X3,X4,X5))
| s_t(X3,ext(X2,X3,X4,X5),X1)
| s_t(X0,X3,ext(X2,X3,X4,X5))
| ( X2 = X3 )
| ( ext(X2,X3,X4,X5) = X1 )
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480646,c_147]) ).
tcf(c_507468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X3)
| s_t(X3,ext(X2,X3,X4,X5),X1)
| ( X2 = X3 )
| ( X1 = X3 )
| ( ext(X2,X3,X4,X5) = X1 )
| ~ s_t(X2,X3,X1)
| ~ sameside(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480646,c_145]) ).
tcf(c_507469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,X2,X1)
| sameside(X3,X2,ext(X0,X1,X4,X5))
| s_t(X1,ext(X0,X1,X4,X5),X2)
| ( X2 = X3 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X0,X1,X4,X5) = X2 )
| ~ s_col(X3,X2,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_143]) ).
tcf(c_507470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ext(X2,X0,X3,X4),X1)
| ( X0 = X2 )
| ~ s_t(X2,X0,X1)
| ~ sameside(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480646,c_133]) ).
tcf(c_507471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,X1,X0)
| s_t(X3,ext(X2,X3,X4,X5),X1)
| ( X2 = X3 )
| ( X1 = X3 )
| ( X0 = X1 )
| ( ext(X2,X3,X4,X5) = X1 )
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480646,c_131]) ).
tcf(c_507472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,ext(X0,X1,X4,X5))
| s_t(X1,ext(X0,X1,X4,X5),X2)
| ( X2 = X3 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X0,X1,X4,X5) = X2 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_125]) ).
tcf(c_507473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,X1)
| s_t(X0,X1,X5)
| s_t(X0,ext(X2,X0,X3,X4),X5)
| ( X0 = X2 )
| ~ s_t(X2,X0,X5)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480646,c_109]) ).
tcf(c_507474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X3,ext(X0,X1,X4,X5))
| s_t(X2,ext(X0,X1,X4,X5),X3)
| s_t(X1,ext(X0,X1,X4,X5),X2)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_108]) ).
tcf(c_507475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X3,ext(X0,X1,X4,X5))
| s_t(X1,ext(X0,X1,X4,X5),X3)
| s_t(X1,ext(X0,X1,X4,X5),X2)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_107]) ).
tcf(c_507476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X0,X5)
| s_t(X2,ext(X1,X2,X3,X4),X0)
| ( X1 = X2 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X1,X2,X0)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480646,c_81]) ).
tcf(c_507477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,X4)
| s_t(X0,ext(X1,X0,X2,X3),X5)
| ( X0 = X1 )
| ~ s_t(X1,X0,X5)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480646,c_80]) ).
tcf(c_507478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X1,ext(X2,X3,X4,X5))
| s_t(X3,ext(X2,X3,X4,X5),X0)
| ( X2 = X3 )
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480646,c_79]) ).
tcf(c_507479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ext(X1,X2,X3,X4),X5)
| s_t(X2,ext(X1,X2,X3,X4),X0)
| ( X1 = X2 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X1,X2,X0)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480646,c_78]) ).
tcf(c_507480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ext(X1,X0,X2,X3),X4)
| s_t(X0,ext(X1,X0,X2,X3),X5)
| ( X0 = X1 )
| ~ s_t(X1,X0,X5)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480646,c_77]) ).
tcf(c_507481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X0,X1)
| s_t(X3,ext(X2,X3,X4,X5),X0)
| ( X2 = X3 )
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480646,c_76]) ).
tcf(c_507482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(X2,X1,X3,X4),X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ s_t(X2,X1,X0)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480646,c_75]) ).
tcf(c_507483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(X0,X1,X3,X4),X2)
| s_t(ext(X0,X1,X3,X4),X2,X1)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_73]) ).
tcf(c_507485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(X0,X1,X3,X4),X2)
| s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X1,X2),X4)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_480407]) ).
tcf(c_507488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X2,ext(X0,X1,X5,X6))
| s_t(X1,ext(X0,X1,X5,X6),ext(X1,X2,X3,X4))
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480646,c_480204]) ).
tcf(c_507489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(X1,X2,X3,X4),ext(X0,X1,X5,X6))
| s_t(X1,ext(X0,X1,X5,X6),ext(X1,X2,X3,X4))
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480646,c_480134]) ).
tcf(c_507490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X1,ext(X0,X1,X5,X6))
| s_t(X1,ext(X0,X1,X5,X6),ext(X2,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480646,c_480227]) ).
tcf(c_507491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(X2,X1,X3,X4),ext(X0,X1,X5,X6))
| s_t(X1,ext(X0,X1,X5,X6),ext(X2,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480646,c_480157]) ).
tcf(c_507492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ip(X1,X2,X3,X4,X5),ext(X0,ip(X1,X2,X3,X4,X5),X6,X7))
| s_t(ip(X1,X2,X3,X4,X5),ext(X0,ip(X1,X2,X3,X4,X5),X6,X7),X4)
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_480646,c_480228]) ).
tcf(c_507493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X4,ext(X0,ip(X1,X2,X3,X4,X5),X6,X7))
| s_t(ip(X1,X2,X3,X4,X5),ext(X0,ip(X1,X2,X3,X4,X5),X6,X7),X4)
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_480646,c_480158]) ).
tcf(c_507494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X5),ext(X0,ip(X1,X2,X3,X4,X5),X6,X7))
| s_t(ip(X1,X2,X3,X4,X5),ext(X0,ip(X1,X2,X3,X4,X5),X6,X7),X1)
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_480646,c_480229]) ).
tcf(c_507495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,X1,ext(X0,ip(X1,X2,X3,X4,X5),X6,X7))
| s_t(ip(X1,X2,X3,X4,X5),ext(X0,ip(X1,X2,X3,X4,X5),X6,X7),X1)
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_480646,c_480159]) ).
tcf(c_507496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X4,ext(X0,X1,X6,X7))
| s_t(X1,ext(X0,X1,X6,X7),X4)
| s_t(X1,ext(X0,X1,X6,X7),ip(X2,X1,X3,X4,X5))
| ( X0 = X1 )
| ( ip(X2,X1,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,ip(X2,X1,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480646,c_480600]) ).
tcf(c_507497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X2,ext(X0,X1,X6,X7))
| s_t(X1,ext(X0,X1,X6,X7),X2)
| s_t(X1,ext(X0,X1,X6,X7),ip(X2,X3,X4,X5,X1))
| ( X0 = X1 )
| ( ip(X2,X3,X4,X5,X1) = X1 )
| ~ s_t(X5,X1,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X1)) ),
inference(superposition,[status(thm)],[c_480646,c_480601]) ).
tcf(c_507499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,X4,ext(X0,X1,X7,X8))
| s_t(X1,ext(X0,X1,X7,X8),X4)
| s_t(X1,ext(X0,X1,X7,X8),crossbar(X2,X3,X4,X5,X6,X1))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,X6,X1) = X1 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X1,X5)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X1)) ),
inference(superposition,[status(thm)],[c_480646,c_480604]) ).
tcf(c_507500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X6,X3,ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8),X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_480646,c_480258]) ).
tcf(c_507501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X6,crossbar(X1,X2,X3,X4,X5,X6),ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8),X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_480646,c_480255]) ).
tcf(c_507502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,X5,ext(X0,X1,X7,X8))
| s_t(X1,ext(X0,X1,X7,X8),X5)
| s_t(X1,ext(X0,X1,X7,X8),crossbar(X2,X1,X3,X4,X5,X6))
| ( X0 = X1 )
| ( crossbar(X2,X1,X3,X4,X5,X6) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,crossbar(X2,X1,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480646,c_480605]) ).
tcf(c_507503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,X5,ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8),X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_480646,c_480320]) ).
tcf(c_507504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,crossbar(X1,X2,X3,X4,X5,X6),ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8),X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_480646,c_480317]) ).
tcf(c_507505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X1,ext(X0,X1,X3,X4))
| s_t(X2,ext(ext(X2,X2,alpha,gamma),X2,X1,ext(X0,X1,X3,X4)),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_480646,c_480409]) ).
tcf(c_507506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X1,ext(X0,X1,X2,X3))
| le(X1,ext(X0,X1,X2,X3),X4,X4)
| ( X0 = X1 )
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_480646,c_480892]) ).
tcf(c_507507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(X1,ext(X0,X1,X2,X3),X1)
| s_t(X1,X1,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_480646,c_486468]) ).
tcf(c_507508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ext(X0,X1,X2,X3),X1)
| s_t(X1,X1,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_480646,c_480184]) ).
tcf(c_507509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,ext(X0,X1,X2,X3))
| s_t(X1,X1,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_480646,c_480114]) ).
tcf(c_507510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X1,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_480646,c_55]) ).
tcf(c_507511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X5,ext(X1,X2,X3,X4))
| ( X1 = X2 )
| ( crossbar(X2,ext(X1,X2,X3,X4),X5,X0,ext(X1,X2,X3,X4),X6) = ext(X1,X2,X3,X4) )
| ~ s_t(X2,X6,X0)
| ~ s_t(X1,X2,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480646,c_480316]) ).
tcf(c_507512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X2,ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ( crossbar(X1,ext(X0,X1,X5,X6),X2,X3,X4,X2) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_480254]) ).
tcf(c_507513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X1 )
| ( ext(X1,ext(X0,X1,X3,X4),ext(X0,X1,X3,X4),X2) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_480013]) ).
tcf(c_507514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X1 )
| ( ext(X1,ext(X0,X1,X3,X4),X2,ext(X0,X1,X3,X4)) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_480011]) ).
tcf(c_507515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,ext(X0,X1,X4,X5))
| ( X0 = X1 )
| ( ip(X1,ext(X0,X1,X4,X5),X2,X3,X1) = X1 )
| ~ s_t(X3,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_479924]) ).
tcf(c_507516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ip(X1,ext(X0,X1,X2,X3),X5,ext(X0,X1,X2,X3),X4) = ext(X0,X1,X2,X3) )
| ~ s_t(X0,X1,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480646,c_479914]) ).
tcf(c_507517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,X1,ext(X0,X1,X3,X4))
| s_t(X1,X2,ext(X0,X1,X3,X4))
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_238]) ).
tcf(c_507518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(ext(X0,X1,X3,X4),X1,X2)
| s_t(X1,X2,ext(X0,X1,X3,X4))
| ( X1 = xb )
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_237]) ).
tcf(c_507519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,X1,X3,X4),X2,X1)
| s_t(X1,X2,ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_225]) ).
tcf(c_507520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X2,X1,ext(X0,X1,X3,X4))
| s_t(X1,X2,ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_224]) ).
tcf(c_507521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,ext(X0,X1,X3,X4),X2)
| s_t(X1,X2,ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_223]) ).
tcf(c_507522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,ext(X2,X0,X3,X4))
| ( X0 = X2 )
| ( ext(X2,X0,X3,X4) = X1 )
| ~ s_t(X2,X0,X5)
| ~ s_r(X5,X1,ext(X2,X0,X3,X4))
| ~ s_r(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480646,c_184]) ).
tcf(c_507523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X0,X5)
| s_t(X0,X2,X5)
| s_t(X2,X5,ext(X1,X2,X3,X4))
| ( X1 = X2 )
| ( ext(X1,X2,X3,X4) = X5 )
| ~ s_t(X1,X2,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480646,c_147]) ).
tcf(c_507524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,ext(X1,X2,X3,X4),X2)
| s_t(X2,X5,ext(X1,X2,X3,X4))
| ( X1 = X2 )
| ( ext(X1,X2,X3,X4) = X5 )
| ( ext(X1,X2,X3,X4) = X2 )
| ~ s_t(X1,X2,X5)
| ~ sameside(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480646,c_145]) ).
tcf(c_507525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,ext(X1,X2,X3,X4),X5)
| sameside(X0,ext(X1,X2,X3,X4),X2)
| s_t(X2,X5,ext(X1,X2,X3,X4))
| ( X1 = X2 )
| ( ext(X1,X2,X3,X4) = X5 )
| ( ext(X1,X2,X3,X4) = X2 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X1,X2,X5)
| ~ s_col(X0,ext(X1,X2,X3,X4),X2) ),
inference(superposition,[status(thm)],[c_480646,c_143]) ).
tcf(c_507526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,ext(X1,X0,X2,X3))
| ( X0 = X1 )
| ~ s_t(X1,X0,X4)
| ~ sameside(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480646,c_133]) ).
tcf(c_507527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X2,ext(X1,X2,X3,X4),X0)
| s_t(X2,X5,ext(X1,X2,X3,X4))
| ( X1 = X2 )
| ( ext(X1,X2,X3,X4) = X5 )
| ( ext(X1,X2,X3,X4) = X2 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X1,X2,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480646,c_131]) ).
tcf(c_507528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ext(X1,X0,X2,X3),X5)
| s_t(X0,X5,ext(X1,X0,X2,X3))
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X5 )
| ( ext(X1,X0,X2,X3) = X4 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X1,X0,X5)
| ~ sameside(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480646,c_125]) ).
tcf(c_507529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X3,ext(X0,X1,X4,X5))
| s_t(X1,X2,ext(X0,X1,X4,X5))
| s_t(X1,ext(X0,X1,X4,X5),X3)
| ( X0 = X1 )
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_109]) ).
tcf(c_507530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,ext(X1,X0,X2,X3))
| s_t(ext(X1,X0,X2,X3),X5,X4)
| s_t(ext(X1,X0,X2,X3),X4,X5)
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X1,X0,X5)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480646,c_108]) ).
tcf(c_507531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,X4)
| s_t(X0,X4,X5)
| s_t(X0,X5,ext(X1,X0,X2,X3))
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X1,X0,X5)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480646,c_107]) ).
tcf(c_507532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X4,ext(X0,X1,X2,X3))
| s_t(X1,ext(X0,X1,X2,X3),X5)
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X4 )
| ~ s_t(X0,X1,X4)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480646,c_81]) ).
tcf(c_507533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,ext(X0,X1,X4,X5))
| s_t(X1,ext(X0,X1,X4,X5),X3)
| ( X0 = X1 )
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_80]) ).
tcf(c_507534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X4,X5)
| s_t(X1,X5,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ~ s_t(X0,X1,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480646,c_79]) ).
tcf(c_507535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X4,X5)
| s_t(X1,X4,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X4 )
| ~ s_t(X0,X1,X4)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480646,c_78]) ).
tcf(c_507536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,ext(X0,X1,X4,X5))
| s_t(ext(X0,X1,X4,X5),X2,X3)
| ( X0 = X1 )
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_77]) ).
tcf(c_507537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,ext(X0,X1,X2,X3))
| s_t(X1,ext(X0,X1,X2,X3),X4)
| ( X0 = X1 )
| ~ s_t(X0,X1,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480646,c_76]) ).
tcf(c_507538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X4,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X0,X1,X4)
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_480646,c_75]) ).
tcf(c_507539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,ext(X0,X1,X3,X4),X1)
| s_t(X1,X2,ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_73]) ).
tcf(c_507540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ext(ext(X0,X1,X2,X3),X1,X4,X5),ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X0,X1,ext(ext(X0,X1,X2,X3),X1,X4,X5)) ),
inference(superposition,[status(thm)],[c_480646,c_480090]) ).
tcf(c_507541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ext(X2,X1,X3,X4),ext(X0,X1,X5,X6))
| s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X1,ext(X0,X1,X5,X6)),X4)
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480646,c_480407]) ).
tcf(c_507542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(X0,X1,X5,X6),ext(X2,X1,X3,X4))
| s_t(X1,ext(X2,X1,X3,X4),ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480646,c_480181]) ).
tcf(c_507543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X1,ext(X0,X1,X5,X6))
| s_t(X1,ext(X2,X1,X3,X4),ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480646,c_480111]) ).
tcf(c_507547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,ext(X0,X1,X3,X4))
| s_t(X0,ext(X0,X1,X3,X4),X2)
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_480157]) ).
tcf(c_507548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ext(X0,ip(X1,X2,X3,X4,X5),X6,X7),X4)
| s_t(ip(X1,X2,X3,X4,X5),X4,ext(X0,ip(X1,X2,X3,X4,X5),X6,X7))
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_480646,c_480182]) ).
tcf(c_507549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ip(X1,X2,X3,X4,X5),ext(X0,ip(X1,X2,X3,X4,X5),X6,X7))
| s_t(ip(X1,X2,X3,X4,X5),X4,ext(X0,ip(X1,X2,X3,X4,X5),X6,X7))
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_480646,c_480112]) ).
tcf(c_507550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,ext(X0,ip(X1,X2,X3,X4,X5),X6,X7),X1)
| s_t(ip(X1,X2,X3,X4,X5),X1,ext(X0,ip(X1,X2,X3,X4,X5),X6,X7))
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_480646,c_480183]) ).
tcf(c_507551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X5),ext(X0,ip(X1,X2,X3,X4,X5),X6,X7))
| s_t(ip(X1,X2,X3,X4,X5),X1,ext(X0,ip(X1,X2,X3,X4,X5),X6,X7))
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_480646,c_480113]) ).
tcf(c_507552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ext(X2,ext(X0,X1,X3,X4),X5,X6),ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X1 )
| ( ext(X1,ext(X0,X1,X3,X4),X5,X6) = ext(X2,ext(X0,X1,X3,X4),X5,X6) )
| ~ s_t(X0,X1,ext(X2,ext(X0,X1,X3,X4),X5,X6)) ),
inference(superposition,[status(thm)],[c_480646,c_480012]) ).
tcf(c_507553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X6,crossbar(X1,X2,X3,X4,X5,X6),ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),X3,ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_480646,c_480260]) ).
tcf(c_507554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X6,ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8),X3)
| s_t(crossbar(X1,X2,X3,X4,X5,X6),X3,ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_480646,c_480257]) ).
tcf(c_507555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,crossbar(X1,X2,X3,X4,X5,X6),ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),X5,ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_480646,c_480322]) ).
tcf(c_507556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8),X5)
| s_t(crossbar(X1,X2,X3,X4,X5,X6),X5,ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_480646,c_480319]) ).
tcf(c_507557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,ext(X0,X1,X2,X3),ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X0,X1,X2,X3)) ),
inference(equality_factoring,[status(thm)],[c_480646]) ).
tcf(c_508437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X2,s(X3,X0),s(X3,X1))
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_167,c_507140]) ).
tcf(c_508438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X3,X2,ext(ext(X2,X2,alpha,gamma),X2,X0,X1))
| ~ le(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_231,c_507140]) ).
tcf(c_508439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X5,X1,ip(X0,X1,X2,X3,X4))
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_507140]) ).
tcf(c_508440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X5,ip(X2,X0,X3,X1,X4),X1)
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X4,X3)
| ~ s_t(X0,X1,ip(X2,X0,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480135,c_507140]) ).
tcf(c_508441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X4,X1,ip(X0,X1,X2,X1,X3))
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480074,c_507140]) ).
tcf(c_508442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X5,X4,ip(X0,X1,X2,X3,X4))
| ~ s_t(X4,X0,X4)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_507140]) ).
tcf(c_508443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X5,ip(X1,X2,X3,X4,X0),X1)
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,ip(X1,X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480136,c_507140]) ).
tcf(c_508444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X4,X0,ip(X0,X1,X2,X3,X0))
| ~ s_t(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480075,c_507140]) ).
tcf(c_508446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X1,ext(X0,X1,X3,X4))
| s_e(X2,X2,X1,ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_480646,c_507140]) ).
tcf(c_508447,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X2,X0,ext(ext(X0,X0,alpha,gamma),X0,X0,X1))
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_480406,c_507140]) ).
tcf(c_508449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X6,X6,X3,crossbar(X0,X1,X2,X4,X5,X3))
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X2,X3)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_507140]) ).
tcf(c_508450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X6,X6,crossbar(X2,X3,X1,X4,X5,X0),X1)
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X1,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_480259,c_507140]) ).
tcf(c_508451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X5,X2,crossbar(X0,X1,X2,X3,X4,X2))
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480262,c_507140]) ).
tcf(c_508452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X6,X6,X1,crossbar(X0,X1,X2,X4,X5,X3))
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X1)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_507140]) ).
tcf(c_508453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X6,X6,crossbar(X2,X0,X3,X4,X1,X5),X1)
| ~ s_t(X4,X1,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,crossbar(X2,X0,X3,X4,X1,X5)) ),
inference(superposition,[status(thm)],[c_480321,c_507140]) ).
tcf(c_508454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X5,X1,crossbar(X0,X1,X2,X4,X1,X3))
| ~ s_t(X4,X1,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480324,c_507140]) ).
tcf(c_508555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X2,s(X3,X1),s(X3,X0))
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_167,c_507196]) ).
tcf(c_508556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X3,ext(ext(X2,X2,alpha,gamma),X2,X0,X1),X2)
| ~ le(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_231,c_507196]) ).
tcf(c_508557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X5,ip(X0,X1,X2,X3,X4),X1)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_507196]) ).
tcf(c_508558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X5,X1,ip(X2,X0,X3,X1,X4))
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X4,X3)
| ~ s_t(X0,X1,ip(X2,X0,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480135,c_507196]) ).
tcf(c_508559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X4,ip(X0,X1,X2,X1,X3),X1)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480074,c_507196]) ).
tcf(c_508560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X5,ip(X0,X1,X2,X3,X4),X4)
| ~ s_t(X4,X0,X4)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_507196]) ).
tcf(c_508561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X5,X1,ip(X1,X2,X3,X4,X0))
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,ip(X1,X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480136,c_507196]) ).
tcf(c_508562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X4,ip(X0,X1,X2,X3,X0),X0)
| ~ s_t(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480075,c_507196]) ).
tcf(c_508564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X1,ext(X0,X1,X3,X4))
| s_e(X2,X2,ext(X0,X1,X3,X4),X1)
| ( X0 = X1 )
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_480646,c_507196]) ).
tcf(c_508565,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X2,ext(ext(X0,X0,alpha,gamma),X0,X0,X1),X0)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_480406,c_507196]) ).
tcf(c_508567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X6,X6,crossbar(X0,X1,X2,X4,X5,X3),X3)
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X2,X3)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_507196]) ).
tcf(c_508568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X6,X6,X1,crossbar(X2,X3,X1,X4,X5,X0))
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X1,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_480259,c_507196]) ).
tcf(c_508569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X5,crossbar(X0,X1,X2,X3,X4,X2),X2)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480262,c_507196]) ).
tcf(c_508570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X6,X6,crossbar(X0,X1,X2,X4,X5,X3),X1)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X1)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_507196]) ).
tcf(c_508571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X6,X6,X1,crossbar(X2,X0,X3,X4,X1,X5))
| ~ s_t(X4,X1,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,crossbar(X2,X0,X3,X4,X1,X5)) ),
inference(superposition,[status(thm)],[c_480321,c_507196]) ).
tcf(c_508572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X5,crossbar(X0,X1,X2,X4,X1,X3),X1)
| ~ s_t(X4,X1,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480324,c_507196]) ).
tcf(c_508690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X3,ext(X1,ip(X0,X1,X2,X3,X4),X5,X6))
| s_t(ip(X0,X1,X2,X3,X4),ext(X1,ip(X0,X1,X2,X3,X4),X5,X6),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_480647]) ).
tcf(c_508691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X3,X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_56,c_480647]) ).
tcf(c_508692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ip(X0,X1,X2,X3,X1),X3,X0)
| s_t(ip(X0,X1,X2,X3,X1),X0,X3)
| ( ip(X0,X1,X2,X3,X1) = X1 )
| ~ s_t(X3,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_480647]) ).
tcf(c_508693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X3,ip(X0,X1,X2,X3,X4))
| s_t(ip(X0,X1,X2,X3,X4),ip(X0,X1,X2,X3,X4),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_480647]) ).
tcf(c_508694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X1,X0,X2,X3,X4),X3,ins(X5,X6,X0,ip(X1,X0,X2,X3,X4)))
| s_t(ip(X1,X0,X2,X3,X4),ins(X5,X6,X0,ip(X1,X0,X2,X3,X4)),X3)
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ le(X0,ip(X1,X0,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_110,c_480647]) ).
tcf(c_508695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ip(X1,X0,X2,X3,X4),X3,c63(X0,ip(X1,X0,X2,X3,X4),X5))
| s_t(ip(X1,X0,X2,X3,X4),c63(X0,ip(X1,X0,X2,X3,X4),X5),X3)
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ sameside(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_129,c_480647]) ).
tcf(c_508696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ip(X1,X2,X3,X4,X5),X4,c63(X0,ip(X1,X2,X3,X4,X5),X2))
| s_t(ip(X1,X2,X3,X4,X5),c63(X0,ip(X1,X2,X3,X4,X5),X2),X4)
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X2) ),
inference(superposition,[status(thm)],[c_130,c_480647]) ).
tcf(c_508697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ip(X3,X2,X4,X5,X6),X5,insert5(X0,X1,X7,X2,ip(X3,X2,X4,X5,X6)))
| s_t(ip(X3,X2,X4,X5,X6),insert5(X0,X1,X7,X2,ip(X3,X2,X4,X5,X6)),X5)
| ( ip(X3,X2,X4,X5,X6) = X2 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X2,X4)
| ~ s_t(X0,X1,X7)
| ~ s_e(X0,X1,X2,ip(X3,X2,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_505149,c_480647]) ).
tcf(c_508698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X3,s(ip(X0,X1,X2,X3,X4),X1))
| s_t(ip(X0,X1,X2,X3,X4),s(ip(X0,X1,X2,X3,X4),X1),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_480647]) ).
tcf(c_508699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ip(X0,X1,X2,X3,X5),X4,X3)
| s_t(ip(X0,X1,X2,X3,X5),X3,X4)
| ( ip(X0,X1,X2,X3,X5) = X1 )
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_480647]) ).
tcf(c_508701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ip(X0,X1,X2,X4,X1),X4,X3)
| s_t(ip(X0,X1,X2,X4,X1),X3,X4)
| ( ip(X0,X1,X2,X4,X1) = X1 )
| ~ s_t(X4,X1,X2)
| ~ s_t(X1,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_480647]) ).
tcf(c_508702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ip(X0,X0,X1,X2,X3),X3,X2)
| s_t(ip(X0,X0,X1,X2,X3),X2,X3)
| ( ip(X0,X0,X1,X2,X3) = X0 )
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_480075,c_480647]) ).
tcf(c_508703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,ext(X0,X1,X6,X7),ip(X2,X0,X3,X4,X5))
| s_t(ip(X2,X0,X3,X4,X5),X4,ext(X0,X1,X6,X7))
| s_t(ip(X2,X0,X3,X4,X5),ext(X0,X1,X6,X7),X4)
| ( X0 = X1 )
| ( ip(X2,X0,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,ip(X2,X0,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480599,c_480647]) ).
tcf(c_508704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ext(X0,X1,X6,X7),ip(X2,X1,X3,X4,X5))
| s_t(ip(X2,X1,X3,X4,X5),X4,ext(X0,X1,X6,X7))
| s_t(ip(X2,X1,X3,X4,X5),ext(X0,X1,X6,X7),X4)
| ( X0 = X1 )
| ( ip(X2,X1,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,ip(X2,X1,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480646,c_480647]) ).
tcf(c_508705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X3,s(ext(X1,ip(X0,X1,X2,X3,X4),X5,X6),X1))
| s_t(ip(X0,X1,X2,X3,X4),s(ext(X1,ip(X0,X1,X2,X3,X4),X5,X6),X1),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_480647]) ).
tcf(c_508706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ip(X3,X3,X2,X0,X1),X1,X0)
| s_t(ip(X3,X3,X2,X0,X1),X0,X1)
| ( ip(X3,X3,X2,X0,X1) = X3 )
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_508702,c_74]) ).
tcf(c_508873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X0,ext(X4,ip(X0,X1,X2,X3,X4),X5,X6))
| s_t(ip(X0,X1,X2,X3,X4),ext(X4,ip(X0,X1,X2,X3,X4),X5,X6),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_480648]) ).
tcf(c_508875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X0,X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_480648]) ).
tcf(c_508876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X0,ip(X0,X1,X2,X3,X4))
| s_t(ip(X0,X1,X2,X3,X4),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_480648]) ).
tcf(c_508877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X1,X2,X3,X4,X0),X1,ins(X5,X6,X0,ip(X1,X2,X3,X4,X0)))
| s_t(ip(X1,X2,X3,X4,X0),ins(X5,X6,X0,ip(X1,X2,X3,X4,X0)),X1)
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ le(X0,ip(X1,X2,X3,X4,X0),X5,X6) ),
inference(superposition,[status(thm)],[c_110,c_480648]) ).
tcf(c_508878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ip(X1,X2,X3,X4,X0),X1,c63(X0,ip(X1,X2,X3,X4,X0),X5))
| s_t(ip(X1,X2,X3,X4,X0),c63(X0,ip(X1,X2,X3,X4,X0),X5),X1)
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_129,c_480648]) ).
tcf(c_508879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ip(X1,X2,X3,X4,X5),X1,c63(X0,ip(X1,X2,X3,X4,X5),X5))
| s_t(ip(X1,X2,X3,X4,X5),c63(X0,ip(X1,X2,X3,X4,X5),X5),X1)
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X5) ),
inference(superposition,[status(thm)],[c_130,c_480648]) ).
tcf(c_508880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ip(X3,X4,X5,X6,X2),X3,insert5(X0,X1,X7,X2,ip(X3,X4,X5,X6,X2)))
| s_t(ip(X3,X4,X5,X6,X2),insert5(X0,X1,X7,X2,ip(X3,X4,X5,X6,X2)),X3)
| ( ip(X3,X4,X5,X6,X2) = X2 )
| ~ s_t(X6,X2,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,X1,X7)
| ~ s_e(X0,X1,X2,ip(X3,X4,X5,X6,X2)) ),
inference(superposition,[status(thm)],[c_505149,c_480648]) ).
tcf(c_508881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X0,s(ip(X0,X1,X2,X3,X4),X4))
| s_t(ip(X0,X1,X2,X3,X4),s(ip(X0,X1,X2,X3,X4),X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_480648]) ).
tcf(c_508882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ip(X0,X1,X2,X3,X1),X4,X0)
| s_t(ip(X0,X1,X2,X3,X1),X0,X4)
| ( ip(X0,X1,X2,X3,X1) = X1 )
| ~ s_t(X3,X1,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_480648]) ).
tcf(c_508883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ip(X0,X1,X2,X3,X3),X1,X0)
| s_t(ip(X0,X1,X2,X3,X3),X0,X1)
| ( ip(X0,X1,X2,X3,X3) = X3 )
| ~ s_t(X3,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480074,c_480648]) ).
tcf(c_508884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X5,X0)
| s_t(ip(X0,X1,X2,X3,X4),X0,X5)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_480648]) ).
tcf(c_508886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,ext(X0,X1,X6,X7),ip(X2,X3,X4,X5,X0))
| s_t(ip(X2,X3,X4,X5,X0),X2,ext(X0,X1,X6,X7))
| s_t(ip(X2,X3,X4,X5,X0),ext(X0,X1,X6,X7),X2)
| ( X0 = X1 )
| ( ip(X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_480599,c_480648]) ).
tcf(c_508887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ext(X0,X1,X6,X7),ip(X2,X3,X4,X5,X1))
| s_t(ip(X2,X3,X4,X5,X1),X2,ext(X0,X1,X6,X7))
| s_t(ip(X2,X3,X4,X5,X1),ext(X0,X1,X6,X7),X2)
| ( X0 = X1 )
| ( ip(X2,X3,X4,X5,X1) = X1 )
| ~ s_t(X5,X1,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X1)) ),
inference(superposition,[status(thm)],[c_480646,c_480648]) ).
tcf(c_508888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X0,s(ext(X4,ip(X0,X1,X2,X3,X4),X5,X6),X4))
| s_t(ip(X0,X1,X2,X3,X4),s(ext(X4,ip(X0,X1,X2,X3,X4),X5,X6),X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_480648]) ).
tcf(c_508889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ip(X0,X1,X2,X3,X3),X1,X0)
| s_t(ip(X0,X1,X2,X3,X3),X0,X1)
| ( ip(X0,X1,X2,X3,X3) = X3 )
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_508883,c_74]) ).
tcf(c_508976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X3,X4,X2,X5,X1),X4,ext(X1,crossbar(X0,X3,X4,X2,X5,X1),X6,X7))
| s_t(crossbar(X0,X3,X4,X2,X5,X1),ext(X1,crossbar(X0,X3,X4,X2,X5,X1),X6,X7),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_480651]) ).
tcf(c_508977,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(crossbar(X0,X3,X4,X2,X5,X1),X4,crossbar(X0,X3,X4,X2,X5,X1))
| s_t(crossbar(X0,X3,X4,X2,X5,X1),crossbar(X0,X3,X4,X2,X5,X1),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_480651]) ).
tcf(c_508978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(crossbar(X0,X1,X2,X4,X5,X3),X2,X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_480651]) ).
tcf(c_508979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(crossbar(X0,X1,X2,X3,X4,X1),X4,X2)
| s_t(crossbar(X0,X1,X2,X3,X4,X1),X2,X4)
| ( crossbar(X0,X1,X2,X3,X4,X1) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_480651]) ).
tcf(c_508980,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X1,X2,X3,X4,X5,X0),X3,ins(X6,X7,X0,crossbar(X1,X2,X3,X4,X5,X0)))
| s_t(crossbar(X1,X2,X3,X4,X5,X0),ins(X6,X7,X0,crossbar(X1,X2,X3,X4,X5,X0)),X3)
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ le(X0,crossbar(X1,X2,X3,X4,X5,X0),X6,X7) ),
inference(superposition,[status(thm)],[c_110,c_480651]) ).
tcf(c_508981,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(crossbar(X1,X2,X3,X4,X5,X0),X3,c63(X0,crossbar(X1,X2,X3,X4,X5,X0),X6))
| s_t(crossbar(X1,X2,X3,X4,X5,X0),c63(X0,crossbar(X1,X2,X3,X4,X5,X0),X6),X3)
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_129,c_480651]) ).
tcf(c_508982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(crossbar(X1,X2,X3,X4,X5,X6),X3,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X6))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X6),X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X6) ),
inference(superposition,[status(thm)],[c_130,c_480651]) ).
tcf(c_508983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(crossbar(X3,X4,X5,X6,X7,X2),X5,insert5(X0,X1,X8,X2,crossbar(X3,X4,X5,X6,X7,X2)))
| s_t(crossbar(X3,X4,X5,X6,X7,X2),insert5(X0,X1,X8,X2,crossbar(X3,X4,X5,X6,X7,X2)),X5)
| ( crossbar(X3,X4,X5,X6,X7,X2) = X2 )
| ~ s_t(X6,X7,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X3,X2,X6)
| ~ s_t(X0,X1,X8)
| ~ s_e(X0,X1,X2,crossbar(X3,X4,X5,X6,X7,X2)) ),
inference(superposition,[status(thm)],[c_505149,c_480651]) ).
tcf(c_508984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(crossbar(X0,X3,X4,X2,X5,X1),X4,s(crossbar(X0,X3,X4,X2,X5,X1),X1))
| s_t(crossbar(X0,X3,X4,X2,X5,X1),s(crossbar(X0,X3,X4,X2,X5,X1),X1),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_480651]) ).
tcf(c_508985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,ext(X0,X1,X7,X8),crossbar(X2,X3,X4,X5,X6,X0))
| s_t(crossbar(X2,X3,X4,X5,X6,X0),X4,ext(X0,X1,X7,X8))
| s_t(crossbar(X2,X3,X4,X5,X6,X0),ext(X0,X1,X7,X8),X4)
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,X6,X0) = X0 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X0,X5)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X0)) ),
inference(superposition,[status(thm)],[c_480599,c_480651]) ).
tcf(c_508986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ext(X0,X1,X7,X8),crossbar(X2,X3,X4,X5,X6,X1))
| s_t(crossbar(X2,X3,X4,X5,X6,X1),X4,ext(X0,X1,X7,X8))
| s_t(crossbar(X2,X3,X4,X5,X6,X1),ext(X0,X1,X7,X8),X4)
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,X6,X1) = X1 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X1,X5)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X1)) ),
inference(superposition,[status(thm)],[c_480646,c_480651]) ).
tcf(c_508987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(crossbar(X0,X1,X2,X4,X6,X3),X5,X2)
| s_t(crossbar(X0,X1,X2,X4,X6,X3),X2,X5)
| ( crossbar(X0,X1,X2,X4,X6,X3) = X3 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_480651]) ).
tcf(c_508989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(crossbar(X0,X1,X2,X3,X4,X1),X5,X2)
| s_t(crossbar(X0,X1,X2,X3,X4,X1),X2,X5)
| ( crossbar(X0,X1,X2,X3,X4,X1) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X4,X5)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_480651]) ).
tcf(c_508990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(crossbar(X0,X1,X2,X4,X3,X3),X2,X1)
| s_t(crossbar(X0,X1,X2,X4,X3,X3),X1,X2)
| ( crossbar(X0,X1,X2,X4,X3,X3) = X3 )
| ~ s_t(X4,X3,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480324,c_480651]) ).
tcf(c_508991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X3,X4,X2,X5,X1),X4,s(ext(X1,crossbar(X0,X3,X4,X2,X5,X1),X6,X7),X1))
| s_t(crossbar(X0,X3,X4,X2,X5,X1),s(ext(X1,crossbar(X0,X3,X4,X2,X5,X1),X6,X7),X1),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_480651]) ).
tcf(c_509095,plain,
! [X0: $i,X1: $i] :
( ( s(X1,X0) = X1 )
| ( X0 != X1 ) ),
inference(superposition,[status(thm)],[c_161,c_482399]) ).
tcf(c_509113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X1,X2,X4,X5,X3),X5,ext(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,X7))
| s_t(crossbar(X0,X1,X2,X4,X5,X3),ext(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_480652]) ).
tcf(c_509114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(crossbar(X0,X1,X2,X4,X5,X3),X5,crossbar(X0,X1,X2,X4,X5,X3))
| s_t(crossbar(X0,X1,X2,X4,X5,X3),crossbar(X0,X1,X2,X4,X5,X3),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_480652]) ).
tcf(c_509116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(crossbar(X0,X1,X2,X4,X5,X3),X5,X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_480652]) ).
tcf(c_509117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X1,X0,X2,X3,X4,X5),X4,ins(X6,X7,X0,crossbar(X1,X0,X2,X3,X4,X5)))
| s_t(crossbar(X1,X0,X2,X3,X4,X5),ins(X6,X7,X0,crossbar(X1,X0,X2,X3,X4,X5)),X4)
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ le(X0,crossbar(X1,X0,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_110,c_480652]) ).
tcf(c_509118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(crossbar(X1,X0,X2,X3,X4,X5),X4,c63(X0,crossbar(X1,X0,X2,X3,X4,X5),X6))
| s_t(crossbar(X1,X0,X2,X3,X4,X5),c63(X0,crossbar(X1,X0,X2,X3,X4,X5),X6),X4)
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ sameside(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_129,c_480652]) ).
tcf(c_509119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(crossbar(X1,X2,X3,X4,X5,X6),X5,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X2))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X2),X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X2) ),
inference(superposition,[status(thm)],[c_130,c_480652]) ).
tcf(c_509120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(crossbar(X3,X2,X4,X5,X6,X7),X6,insert5(X0,X1,X8,X2,crossbar(X3,X2,X4,X5,X6,X7)))
| s_t(crossbar(X3,X2,X4,X5,X6,X7),insert5(X0,X1,X8,X2,crossbar(X3,X2,X4,X5,X6,X7)),X6)
| ( crossbar(X3,X2,X4,X5,X6,X7) = X2 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X7,X5)
| ~ s_t(X3,X2,X4)
| ~ s_t(X0,X1,X8)
| ~ s_e(X0,X1,X2,crossbar(X3,X2,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_505149,c_480652]) ).
tcf(c_509121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(crossbar(X0,X1,X2,X4,X5,X3),X5,s(crossbar(X0,X1,X2,X4,X5,X3),X1))
| s_t(crossbar(X0,X1,X2,X4,X5,X3),s(crossbar(X0,X1,X2,X4,X5,X3),X1),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_480652]) ).
tcf(c_509122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,ext(X0,X1,X7,X8),crossbar(X2,X0,X3,X4,X5,X6))
| s_t(crossbar(X2,X0,X3,X4,X5,X6),X5,ext(X0,X1,X7,X8))
| s_t(crossbar(X2,X0,X3,X4,X5,X6),ext(X0,X1,X7,X8),X5)
| ( X0 = X1 )
| ( crossbar(X2,X0,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,crossbar(X2,X0,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480599,c_480652]) ).
tcf(c_509123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ext(X0,X1,X7,X8),crossbar(X2,X1,X3,X4,X5,X6))
| s_t(crossbar(X2,X1,X3,X4,X5,X6),X5,ext(X0,X1,X7,X8))
| s_t(crossbar(X2,X1,X3,X4,X5,X6),ext(X0,X1,X7,X8),X5)
| ( X0 = X1 )
| ( crossbar(X2,X1,X3,X4,X5,X6) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,crossbar(X2,X1,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480646,c_480652]) ).
tcf(c_509124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(crossbar(X0,X1,X2,X3,X5,X1),X5,X4)
| s_t(crossbar(X0,X1,X2,X3,X5,X1),X4,X5)
| ( crossbar(X0,X1,X2,X3,X5,X1) = X1 )
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X2,X4)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_480652]) ).
tcf(c_509125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(crossbar(X0,X1,X1,X3,X4,X2),X4,X2)
| s_t(crossbar(X0,X1,X1,X3,X4,X2),X2,X4)
| ( crossbar(X0,X1,X1,X3,X4,X2) = X1 )
| ~ s_t(X3,X4,X1)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_480262,c_480652]) ).
tcf(c_509126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(crossbar(X0,X1,X2,X4,X5,X3),X6,X5)
| s_t(crossbar(X0,X1,X2,X4,X5,X3),X5,X6)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_480652]) ).
tcf(c_509128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X1,X2,X4,X5,X3),X5,s(ext(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X1))
| s_t(crossbar(X0,X1,X2,X4,X5,X3),s(ext(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X1),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_480652]) ).
tcf(c_509129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(crossbar(X0,X4,X4,X2,X3,X1),X3,X1)
| s_t(crossbar(X0,X4,X4,X2,X3,X1),X1,X3)
| ( crossbar(X0,X4,X4,X2,X3,X1) = X4 )
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_509125,c_72]) ).
tcf(c_509282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X1,ip(X6,X0,X5,ext(X0,X1,X2,X3),X4))
| s_t(X0,ip(X6,X0,X5,ext(X0,X1,X2,X3),X4),X1)
| ~ s_t(X6,X0,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_56,c_480701]) ).
tcf(c_509283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X1,ip(ext(X0,X1,X2,X3),X4,X5,X6,X0))
| s_t(X0,ip(ext(X0,X1,X2,X3),X4,X5,X6,X0),X1)
| ~ s_t(X6,X0,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_57,c_480701]) ).
tcf(c_509286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X3,crossbar(X0,X1,ext(X2,X3,X4,X5),X6,X7,X2))
| s_t(X2,crossbar(X0,X1,ext(X2,X3,X4,X5),X6,X7,X2),X3)
| ~ s_t(X0,X2,X6)
| ~ s_t(X6,X7,ext(X2,X3,X4,X5))
| ~ s_t(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_87,c_480701]) ).
tcf(c_509287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X2,crossbar(X6,X1,X5,X0,ext(X1,X2,X3,X4),X7))
| s_t(X1,crossbar(X6,X1,X5,X0,ext(X1,X2,X3,X4),X7),X2)
| ~ s_t(X6,X7,X0)
| ~ s_t(X6,X1,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_88,c_480701]) ).
tcf(c_509288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X3,ext(ext(ext(X2,X3,X4,X5),X2,alpha,gamma),X2,X0,X1))
| s_t(X2,ext(ext(ext(X2,X3,X4,X5),X2,alpha,gamma),X2,X0,X1),X3)
| ~ le(X0,X1,X2,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_231,c_480701]) ).
tcf(c_509289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X2,ip(X5,X0,X6,X1,X7))
| s_t(X0,ip(X5,X0,X6,X1,X7),X2)
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X7,X6)
| ~ s_t(X0,X1,ext(X0,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480205,c_480701]) ).
tcf(c_509290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ip(X2,X0,X3,X1,X4),X5,X1)
| s_t(ip(X2,X0,X3,X1,X4),X1,X5)
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X4,X3)
| ~ s_t(X0,X1,ext(ip(X2,X0,X3,X1,X4),X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480135,c_480701]) ).
tcf(c_509291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X2,ip(X0,ext(X1,X2,X3,X4),X5,X1,X6))
| s_t(X1,ip(X0,ext(X1,X2,X3,X4),X5,X1,X6),X2)
| ~ s_t(X1,X6,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480074,c_480701]) ).
tcf(c_509292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X2,ip(X1,X5,X6,X7,X0))
| s_t(X0,ip(X1,X5,X6,X7,X0),X2)
| ~ s_t(X7,X0,X6)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X1,ext(X0,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480206,c_480701]) ).
tcf(c_509293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ip(X1,X2,X3,X4,X0),X5,X1)
| s_t(ip(X1,X2,X3,X4,X0),X1,X5)
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,ext(ip(X1,X2,X3,X4,X0),X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480136,c_480701]) ).
tcf(c_509294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X2,ip(X1,X6,X5,X0,ext(X1,X2,X3,X4)))
| s_t(X1,ip(X1,X6,X5,X0,ext(X1,X2,X3,X4)),X2)
| ~ s_t(X1,X6,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480075,c_480701]) ).
tcf(c_509295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X2,ext(X0,X1,X5,X6))
| s_t(X0,ext(X0,X1,X5,X6),X2)
| s_t(X0,ext(X0,X2,X3,X4),ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X0,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480599,c_480701]) ).
tcf(c_509297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X2,ext(X0,X1,X5,X6))
| s_t(X1,ext(X0,X1,X5,X6),X2)
| s_t(X1,ext(X1,X2,X3,X4),ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480646,c_480701]) ).
tcf(c_509299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X1,ext(ext(ext(X0,X1,X2,X3),X0,alpha,gamma),X0,ext(X0,X1,X2,X3),X4))
| s_t(X0,ext(ext(ext(X0,X1,X2,X3),X0,alpha,gamma),X0,ext(X0,X1,X2,X3),X4),X1)
| ~ s_t(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_480406,c_480701]) ).
tcf(c_509300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,ext(ext(ext(X0,X2,X3,X4),X0,alpha,gamma),X0,X0,X1))
| s_t(X0,ext(ext(ext(X0,X2,X3,X4),X0,alpha,gamma),X0,X0,X1),X2)
| ~ s_t(X0,X1,ext(X0,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480408,c_480701]) ).
tcf(c_509301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,X2,crossbar(X5,X6,X1,X7,X8,X0))
| s_t(X0,crossbar(X5,X6,X1,X7,X8,X0),X2)
| ~ s_t(X7,X8,X1)
| ~ s_t(X5,X6,X1)
| ~ s_t(X5,X0,X7)
| ~ s_t(X0,X1,ext(X0,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480256,c_480701]) ).
tcf(c_509302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(crossbar(X2,X3,X1,X4,X5,X0),X6,X1)
| s_t(crossbar(X2,X3,X1,X4,X5,X0),X1,X6)
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,X1,ext(crossbar(X2,X3,X1,X4,X5,X0),X6,X7,X8)) ),
inference(superposition,[status(thm)],[c_480259,c_480701]) ).
tcf(c_509303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X2,crossbar(X0,X6,X1,X5,X7,ext(X1,X2,X3,X4)))
| s_t(X1,crossbar(X0,X6,X1,X5,X7,ext(X1,X2,X3,X4)),X2)
| ~ s_t(X5,X7,X1)
| ~ s_t(X0,X6,X1)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480262,c_480701]) ).
tcf(c_509304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,X2,crossbar(X5,X0,X6,X8,X1,X7))
| s_t(X0,crossbar(X5,X0,X6,X8,X1,X7),X2)
| ~ s_t(X8,X1,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ s_t(X0,X1,ext(X0,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480318,c_480701]) ).
tcf(c_509305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(crossbar(X2,X0,X3,X4,X1,X5),X6,X1)
| s_t(crossbar(X2,X0,X3,X4,X1,X5),X1,X6)
| ~ s_t(X4,X1,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,ext(crossbar(X2,X0,X3,X4,X1,X5),X6,X7,X8)) ),
inference(superposition,[status(thm)],[c_480321,c_480701]) ).
tcf(c_509306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X2,crossbar(X0,ext(X1,X2,X3,X4),X5,X7,X1,X6))
| s_t(X1,crossbar(X0,ext(X1,X2,X3,X4),X5,X7,X1,X6),X2)
| ~ s_t(X7,X1,X5)
| ~ s_t(X0,X6,X7)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480324,c_480701]) ).
tcf(c_509502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,ip(X2,X3,X4,X5,X6),X1)
| ( crossbar(X3,X1,ip(X2,X3,X4,X5,X6),X0,X1,X7) = X1 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X7,X0)
| ~ s_t(X3,X1,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480702,c_480316]) ).
tcf(c_509503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,ip(X1,X0,X2,X3,X4),X7)
| ( crossbar(X0,X7,ip(X1,X0,X2,X3,X4),X5,X6,ip(X1,X0,X2,X3,X4)) = ip(X1,X0,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X7,X3)
| ~ s_t(X5,X6,ip(X1,X0,X2,X3,X4))
| ~ s_t(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480702,c_480254]) ).
tcf(c_509504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ip(X0,X1,X2,X4,X5),X3)
| ( X1 = X3 )
| ( ext(X1,X3,X3,ip(X0,X1,X2,X4,X5)) = ip(X0,X1,X2,X4,X5) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_480013]) ).
tcf(c_509505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ip(X0,X1,X2,X4,X5),X3)
| ( X1 = X3 )
| ( ext(X1,X3,ip(X0,X1,X2,X4,X5),X3) = ip(X0,X1,X2,X4,X5) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_480011]) ).
tcf(c_509506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ip(X2,X1,X3,X4,X5),X6)
| ( ip(X1,X6,ip(X2,X1,X3,X4,X5),X0,X1) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X1,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X0,X1,ip(X2,X1,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480702,c_479924]) ).
tcf(c_509507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ip(X2,X3,X4,X5,X6),X0)
| ( ip(X3,X0,ip(X2,X3,X4,X5,X6),X0,X1) = X0 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X0,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480702,c_479914]) ).
tcf(c_509508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ip(X0,X1,X2,X4,X5),X1,X3)
| s_t(X1,ip(X0,X1,X2,X4,X5),X3)
| ( X1 = X3 )
| ( ip(X0,X1,X2,X4,X5) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_238]) ).
tcf(c_509509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,X1,ip(X0,X1,X2,X4,X5))
| s_t(X1,ip(X0,X1,X2,X4,X5),X3)
| ( X1 = xb )
| ( X1 = X3 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_237]) ).
tcf(c_509510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X3,ip(X0,X1,X2,X4,X5),X1)
| s_t(X1,ip(X0,X1,X2,X4,X5),X3)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_225]) ).
tcf(c_509511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(ip(X0,X1,X2,X4,X5),X1,X3)
| s_t(X1,ip(X0,X1,X2,X4,X5),X3)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_224]) ).
tcf(c_509512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X1,X3,ip(X0,X1,X2,X4,X5))
| s_t(X1,ip(X0,X1,X2,X4,X5),X3)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_223]) ).
tcf(c_509513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),X6)
| ( X5 = X6 )
| ~ s_r(X1,X5,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X6,X3)
| ~ s_t(X0,X1,X2)
| ~ s_r(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480702,c_184]) ).
tcf(c_509514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X0,ip(X2,X3,X4,X5,X6))
| s_t(X3,ip(X2,X3,X4,X5,X6),X1)
| s_t(X0,X3,ip(X2,X3,X4,X5,X6))
| ( ip(X2,X3,X4,X5,X6) = X1 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X1,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480702,c_147]) ).
tcf(c_509515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,X1,X3)
| s_t(X3,ip(X2,X3,X4,X5,X6),X1)
| ( X1 = X3 )
| ( ip(X2,X3,X4,X5,X6) = X1 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X1,X5)
| ~ s_t(X2,X3,X4)
| ~ sameside(X0,X1,ip(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480702,c_145]) ).
tcf(c_509516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X6,X3,X1)
| sameside(X6,X3,ip(X0,X1,X2,X4,X5))
| s_t(X1,ip(X0,X1,X2,X4,X5),X3)
| ( X3 = X6 )
| ( X1 = X3 )
| ( ip(X0,X1,X2,X4,X5) = X3 )
| ~ s_col(X6,X3,X1)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_143]) ).
tcf(c_509517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ip(X2,X0,X3,X4,X5),X1)
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,X4)
| ~ sameside(X0,X1,ip(X2,X0,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480702,c_133]) ).
tcf(c_509518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X3,X1,X0)
| s_t(X3,ip(X2,X3,X4,X5,X6),X1)
| ( X1 = X3 )
| ( X0 = X1 )
| ( ip(X2,X3,X4,X5,X6) = X1 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X1,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480702,c_131]) ).
tcf(c_509519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X3,ip(X0,X1,X2,X4,X5))
| s_t(X1,ip(X0,X1,X2,X4,X5),X3)
| ( X3 = X6 )
| ( X1 = X3 )
| ( ip(X0,X1,X2,X4,X5) = X3 )
| ~ sameside(X1,X3,X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_125]) ).
tcf(c_509520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X6,X1)
| s_t(X0,X1,X6)
| s_t(X0,ip(X2,X0,X3,X4,X5),X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X6,X4)
| ~ s_t(X0,X1,ip(X2,X0,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480702,c_109]) ).
tcf(c_509521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X5,ip(X0,X1,X2,X4,X6))
| s_t(X3,ip(X0,X1,X2,X4,X6),X5)
| s_t(X1,ip(X0,X1,X2,X4,X6),X3)
| ( X1 = X3 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X3,X5)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_108]) ).
tcf(c_509522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X5,ip(X0,X1,X2,X4,X6))
| s_t(X1,ip(X0,X1,X2,X4,X6),X5)
| s_t(X1,ip(X0,X1,X2,X4,X6),X3)
| ( X1 = X3 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X3,X5)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_107]) ).
tcf(c_509523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X0,X6)
| s_t(X2,ip(X1,X2,X3,X4,X5),X0)
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480702,c_81]) ).
tcf(c_509524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X6,X5)
| s_t(X0,ip(X1,X0,X2,X3,X4),X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X6,X3)
| ~ s_t(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480702,c_80]) ).
tcf(c_509525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X1,ip(X2,X3,X4,X5,X6))
| s_t(X3,ip(X2,X3,X4,X5,X6),X0)
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X0,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480702,c_79]) ).
tcf(c_509526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ip(X1,X2,X3,X4,X5),X6)
| s_t(X2,ip(X1,X2,X3,X4,X5),X0)
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480702,c_78]) ).
tcf(c_509527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,ip(X1,X0,X2,X3,X4),X5)
| s_t(X0,ip(X1,X0,X2,X3,X4),X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X6,X3)
| ~ s_t(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480702,c_77]) ).
tcf(c_509528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X0,X1)
| s_t(X3,ip(X2,X3,X4,X5,X6),X0)
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X0,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480702,c_76]) ).
tcf(c_509529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ip(X2,X1,X3,X4,X5),X0)
| ( X0 = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X1,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,X1,ip(X2,X1,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480702,c_75]) ).
tcf(c_509530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ip(X0,X1,X2,X4,X5),X3)
| s_t(ip(X0,X1,X2,X4,X5),X3,X1)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_73]) ).
tcf(c_509531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X1,ip(X5,X0,X6,X4,X7))
| s_t(X0,ip(X5,X0,X6,X4,X7),ext(X0,X1,X2,X3))
| ~ s_t(X5,X0,X6)
| ~ s_t(X4,X7,X6)
| ~ s_t(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480702,c_480204]) ).
tcf(c_509532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ext(X0,X1,X2,X3),ip(X5,X0,X6,X4,X7))
| s_t(X0,ip(X5,X0,X6,X4,X7),ext(X0,X1,X2,X3))
| ~ s_t(X5,X0,X6)
| ~ s_t(X4,X7,X6)
| ~ s_t(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480702,c_480134]) ).
tcf(c_509533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X0,ip(X5,X0,X6,X4,X7))
| s_t(X0,ip(X5,X0,X6,X4,X7),ext(X1,X0,X2,X3))
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X5,X0,X6)
| ~ s_t(X4,X7,X6)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480702,c_480227]) ).
tcf(c_509534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ext(X1,X0,X2,X3),ip(X5,X0,X6,X4,X7))
| s_t(X0,ip(X5,X0,X6,X4,X7),ext(X1,X0,X2,X3))
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X5,X0,X6)
| ~ s_t(X4,X7,X6)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480702,c_480157]) ).
tcf(c_509535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),ip(X6,ip(X0,X1,X2,X3,X4),X7,X5,X8))
| s_t(ip(X0,X1,X2,X3,X4),ip(X6,ip(X0,X1,X2,X3,X4),X7,X5,X8),X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_480702,c_480228]) ).
tcf(c_509536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,X3,ip(X6,ip(X0,X1,X2,X3,X4),X7,X5,X8))
| s_t(ip(X0,X1,X2,X3,X4),ip(X6,ip(X0,X1,X2,X3,X4),X7,X5,X8),X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_480702,c_480158]) ).
tcf(c_509537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),ip(X6,ip(X0,X1,X2,X3,X4),X7,X5,X8))
| s_t(ip(X0,X1,X2,X3,X4),ip(X6,ip(X0,X1,X2,X3,X4),X7,X5,X8),X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480702,c_480229]) ).
tcf(c_509538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,X0,ip(X6,ip(X0,X1,X2,X3,X4),X7,X5,X8))
| s_t(ip(X0,X1,X2,X3,X4),ip(X6,ip(X0,X1,X2,X3,X4),X7,X5,X8),X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480702,c_480159]) ).
tcf(c_509539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,ip(X6,X0,X7,X5,X8),ip(X1,X0,X2,X3,X4))
| s_t(ip(X1,X0,X2,X3,X4),X3,ip(X6,X0,X7,X5,X8))
| s_t(ip(X1,X0,X2,X3,X4),ip(X6,X0,X7,X5,X8),X3)
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X6,X0,X7)
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480702,c_480647]) ).
tcf(c_509540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,X3,ip(X6,X0,X7,X5,X8))
| s_t(X0,ip(X6,X0,X7,X5,X8),X3)
| s_t(X0,ip(X6,X0,X7,X5,X8),ip(X1,X0,X2,X3,X4))
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X6,X0,X7)
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480702,c_480600]) ).
tcf(c_509541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,ip(X6,X0,X7,X5,X8),ip(X1,X2,X3,X4,X0))
| s_t(ip(X1,X2,X3,X4,X0),X1,ip(X6,X0,X7,X5,X8))
| s_t(ip(X1,X2,X3,X4,X0),ip(X6,X0,X7,X5,X8),X1)
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X6,X0,X7)
| ~ s_t(X5,X8,X7)
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_480702,c_480648]) ).
tcf(c_509542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,X1,ip(X6,X0,X7,X5,X8))
| s_t(X0,ip(X6,X0,X7,X5,X8),X1)
| s_t(X0,ip(X6,X0,X7,X5,X8),ip(X1,X2,X3,X4,X0))
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X6,X0,X7)
| ~ s_t(X5,X8,X7)
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_480702,c_480601]) ).
tcf(c_509543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X0,ip(X7,X0,X8,X6,X9),crossbar(X1,X2,X3,X4,X5,X0))
| s_t(crossbar(X1,X2,X3,X4,X5,X0),X3,ip(X7,X0,X8,X6,X9))
| s_t(crossbar(X1,X2,X3,X4,X5,X0),ip(X7,X0,X8,X6,X9),X3)
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X7,X0,X8)
| ~ s_t(X6,X9,X8)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_480702,c_480651]) ).
tcf(c_509544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X0,X3,ip(X7,X0,X8,X6,X9))
| s_t(X0,ip(X7,X0,X8,X6,X9),X3)
| s_t(X0,ip(X7,X0,X8,X6,X9),crossbar(X1,X2,X3,X4,X5,X0))
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X7,X0,X8)
| ~ s_t(X6,X9,X8)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_480702,c_480604]) ).
tcf(c_509545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X5,X2,ip(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X6,X9))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),ip(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X6,X9),X2)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_480702,c_480258]) ).
tcf(c_509546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),ip(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X6,X9))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),ip(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X6,X9),X2)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_480702,c_480255]) ).
tcf(c_509547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X0,ip(X7,X0,X8,X6,X9),crossbar(X1,X0,X2,X3,X4,X5))
| s_t(crossbar(X1,X0,X2,X3,X4,X5),X4,ip(X7,X0,X8,X6,X9))
| s_t(crossbar(X1,X0,X2,X3,X4,X5),ip(X7,X0,X8,X6,X9),X4)
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X7,X0,X8)
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480702,c_480652]) ).
tcf(c_509548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X0,X4,ip(X7,X0,X8,X6,X9))
| s_t(X0,ip(X7,X0,X8,X6,X9),X4)
| s_t(X0,ip(X7,X0,X8,X6,X9),crossbar(X1,X0,X2,X3,X4,X5))
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X7,X0,X8)
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480702,c_480605]) ).
tcf(c_509549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,X4,ip(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X6,X9))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),ip(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X6,X9),X4)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_480702,c_480320]) ).
tcf(c_509550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),ip(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X6,X9))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),ip(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X6,X9),X4)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_480702,c_480317]) ).
tcf(c_509551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X1,ip(X0,X1,X2,X3,X4))
| s_e(X5,X5,ip(X0,X1,X2,X3,X4),X1)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_507196]) ).
tcf(c_509552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X1,ip(X0,X1,X2,X3,X4))
| s_e(X5,X5,X1,ip(X0,X1,X2,X3,X4))
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_507140]) ).
tcf(c_509553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X1,ip(X0,X1,X2,X3,X4))
| s_t(X5,ext(ext(X5,X5,alpha,gamma),X5,X1,ip(X0,X1,X2,X3,X4)),X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_480409]) ).
tcf(c_509554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X1,ip(X0,X1,X2,X3,X4))
| le(X1,ip(X0,X1,X2,X3,X4),X5,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_480892]) ).
tcf(c_509555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(X1,ip(X0,X1,X2,X3,X4),X1)
| s_t(X1,X1,ip(X0,X1,X2,X3,X4))
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_486468]) ).
tcf(c_509556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ip(X0,X1,X2,X3,X4),X1)
| s_t(X1,X1,ip(X0,X1,X2,X3,X4))
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_480184]) ).
tcf(c_509557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X1,ip(X0,X1,X2,X3,X4))
| s_t(X1,X1,ip(X0,X1,X2,X3,X4))
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_480114]) ).
tcf(c_509558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X1,ip(X0,X1,X2,X3,X4))
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_55]) ).
tcf(c_509559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X6,ip(X1,X2,X3,X4,X5))
| ( crossbar(X2,ip(X1,X2,X3,X4,X5),X6,X0,ip(X1,X2,X3,X4,X5),X7) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X7,X0)
| ~ s_t(X2,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480702,c_480316]) ).
tcf(c_509560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X3,ip(X0,X1,X2,X4,X6))
| ( crossbar(X1,ip(X0,X1,X2,X4,X6),X3,X5,X7,X3) = X3 )
| ~ s_t(X5,X7,X3)
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X3,X5)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_480254]) ).
tcf(c_509561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X3,ip(X0,X1,X2,X4,X5))
| ( ip(X0,X1,X2,X4,X5) = X1 )
| ( ext(X1,ip(X0,X1,X2,X4,X5),ip(X0,X1,X2,X4,X5),X3) = X3 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_480013]) ).
tcf(c_509562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X3,ip(X0,X1,X2,X4,X5))
| ( ip(X0,X1,X2,X4,X5) = X1 )
| ( ext(X1,ip(X0,X1,X2,X4,X5),X3,ip(X0,X1,X2,X4,X5)) = X3 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_480011]) ).
tcf(c_509563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X3,ip(X0,X1,X2,X4,X5))
| ( ip(X1,ip(X0,X1,X2,X4,X5),X3,X6,X1) = X1 )
| ~ s_t(X6,X1,X3)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_479924]) ).
tcf(c_509564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X6,ip(X0,X1,X2,X3,X4))
| ( ip(X1,ip(X0,X1,X2,X3,X4),X6,ip(X0,X1,X2,X3,X4),X5) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X6,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480702,c_479914]) ).
tcf(c_509565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,X1,ip(X0,X1,X2,X4,X5))
| s_t(X1,X3,ip(X0,X1,X2,X4,X5))
| ( X1 = X3 )
| ( ip(X0,X1,X2,X4,X5) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_238]) ).
tcf(c_509566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ip(X0,X1,X2,X4,X5),X1,X3)
| s_t(X1,X3,ip(X0,X1,X2,X4,X5))
| ( X1 = xb )
| ( ip(X0,X1,X2,X4,X5) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_237]) ).
tcf(c_509567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(ip(X0,X1,X2,X4,X5),X3,X1)
| s_t(X1,X3,ip(X0,X1,X2,X4,X5))
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_225]) ).
tcf(c_509568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X3,X1,ip(X0,X1,X2,X4,X5))
| s_t(X1,X3,ip(X0,X1,X2,X4,X5))
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_224]) ).
tcf(c_509569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X1,ip(X0,X1,X2,X4,X5),X3)
| s_t(X1,X3,ip(X0,X1,X2,X4,X5))
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_223]) ).
tcf(c_509570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X6,ip(X2,X0,X3,X4,X5))
| ( ip(X2,X0,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X6,X4)
| ~ s_r(X6,X1,ip(X2,X0,X3,X4,X5))
| ~ s_r(X0,X1,ip(X2,X0,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480702,c_184]) ).
tcf(c_509571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X0,X6)
| s_t(X0,X2,X6)
| s_t(X2,X6,ip(X1,X2,X3,X4,X5))
| ( ip(X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480702,c_147]) ).
tcf(c_509572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,ip(X1,X2,X3,X4,X5),X2)
| s_t(X2,X6,ip(X1,X2,X3,X4,X5))
| ( ip(X1,X2,X3,X4,X5) = X6 )
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480702,c_145]) ).
tcf(c_509573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X0,ip(X1,X2,X3,X4,X5),X6)
| sameside(X0,ip(X1,X2,X3,X4,X5),X2)
| s_t(X2,X6,ip(X1,X2,X3,X4,X5))
| ( ip(X1,X2,X3,X4,X5) = X6 )
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_col(X0,ip(X1,X2,X3,X4,X5),X2) ),
inference(superposition,[status(thm)],[c_480702,c_143]) ).
tcf(c_509574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,ip(X1,X0,X2,X3,X4))
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X5,X3)
| ~ sameside(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480702,c_133]) ).
tcf(c_509575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X2,ip(X1,X2,X3,X4,X5),X0)
| s_t(X2,X6,ip(X1,X2,X3,X4,X5))
| ( ip(X1,X2,X3,X4,X5) = X6 )
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480702,c_131]) ).
tcf(c_509576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,ip(X1,X0,X2,X3,X4),X6)
| s_t(X0,X6,ip(X1,X0,X2,X3,X4))
| ( ip(X1,X0,X2,X3,X4) = X6 )
| ( ip(X1,X0,X2,X3,X4) = X5 )
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X6,X3)
| ~ sameside(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480702,c_125]) ).
tcf(c_509577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X5,ip(X0,X1,X2,X4,X6))
| s_t(X1,X3,ip(X0,X1,X2,X4,X6))
| s_t(X1,ip(X0,X1,X2,X4,X6),X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_109]) ).
tcf(c_509578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X6,ip(X1,X0,X2,X3,X4))
| s_t(ip(X1,X0,X2,X3,X4),X6,X5)
| s_t(ip(X1,X0,X2,X3,X4),X5,X6)
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X6,X3)
| ~ s_t(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480702,c_108]) ).
tcf(c_509579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X6,X5)
| s_t(X0,X5,X6)
| s_t(X0,X6,ip(X1,X0,X2,X3,X4))
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X6,X3)
| ~ s_t(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480702,c_107]) ).
tcf(c_509580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X5,ip(X0,X1,X2,X3,X4))
| s_t(X1,ip(X0,X1,X2,X3,X4),X6)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480702,c_81]) ).
tcf(c_509581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X3,ip(X0,X1,X2,X4,X6))
| s_t(X1,ip(X0,X1,X2,X4,X6),X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X3,X5)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_80]) ).
tcf(c_509582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X5,X6)
| s_t(X1,X6,ip(X0,X1,X2,X3,X4))
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X6,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480702,c_79]) ).
tcf(c_509583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X5,X6)
| s_t(X1,X5,ip(X0,X1,X2,X3,X4))
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480702,c_78]) ).
tcf(c_509584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X3,ip(X0,X1,X2,X4,X6))
| s_t(ip(X0,X1,X2,X4,X6),X3,X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X3,X5)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_77]) ).
tcf(c_509585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X6,ip(X0,X1,X2,X3,X4))
| s_t(X1,ip(X0,X1,X2,X3,X4),X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X6,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480702,c_76]) ).
tcf(c_509586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,ip(X0,X1,X2,X3,X4))
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X1,X5) ),
inference(superposition,[status(thm)],[c_480702,c_75]) ).
tcf(c_509587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ip(X0,X1,X2,X4,X5),X1)
| s_t(X1,X3,ip(X0,X1,X2,X4,X5))
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_73]) ).
tcf(c_509588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ext(ip(X1,X0,X2,X3,X4),X0,X5,X6),ip(X1,X0,X2,X3,X4))
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,ext(ip(X1,X0,X2,X3,X4),X0,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_480702,c_480090]) ).
tcf(c_509589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,ext(X1,X0,X2,X3),ip(X5,X0,X6,X4,X7))
| s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,ip(X5,X0,X6,X4,X7)),X3)
| ~ s_t(X5,X0,X6)
| ~ s_t(X4,X7,X6)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480702,c_480407]) ).
tcf(c_509590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ip(X5,X0,X6,X4,X7),ext(X1,X0,X2,X3))
| s_t(X0,ext(X1,X0,X2,X3),ip(X5,X0,X6,X4,X7))
| ~ s_t(X5,X0,X6)
| ~ s_t(X4,X7,X6)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480702,c_480181]) ).
tcf(c_509591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X0,ip(X5,X0,X6,X4,X7))
| s_t(X0,ext(X1,X0,X2,X3),ip(X5,X0,X6,X4,X7))
| ~ s_t(X5,X0,X6)
| ~ s_t(X4,X7,X6)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480702,c_480111]) ).
tcf(c_509592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X1,ip(X5,X0,X6,X4,X7))
| s_t(X0,ip(X5,X0,X6,X4,X7),X1)
| s_t(X0,ext(X0,X1,X2,X3),ip(X5,X0,X6,X4,X7))
| ~ s_t(X5,X0,X6)
| ~ s_t(X4,X7,X6)
| ~ s_t(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480702,c_480701]) ).
tcf(c_509593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ip(X6,ip(X0,X1,X2,X3,X4),X7,X5,X8),X3)
| s_t(ip(X0,X1,X2,X3,X4),X3,ip(X6,ip(X0,X1,X2,X3,X4),X7,X5,X8))
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_480702,c_480182]) ).
tcf(c_509594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),ip(X6,ip(X0,X1,X2,X3,X4),X7,X5,X8))
| s_t(ip(X0,X1,X2,X3,X4),X3,ip(X6,ip(X0,X1,X2,X3,X4),X7,X5,X8))
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_480702,c_480112]) ).
tcf(c_509595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,ip(X6,ip(X0,X1,X2,X3,X4),X7,X5,X8),X0)
| s_t(ip(X0,X1,X2,X3,X4),X0,ip(X6,ip(X0,X1,X2,X3,X4),X7,X5,X8))
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480702,c_480183]) ).
tcf(c_509596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),ip(X6,ip(X0,X1,X2,X3,X4),X7,X5,X8))
| s_t(ip(X0,X1,X2,X3,X4),X0,ip(X6,ip(X0,X1,X2,X3,X4),X7,X5,X8))
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480702,c_480113]) ).
tcf(c_509597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X3,ip(X0,X1,X2,X4,X5))
| s_t(ip(X0,X1,X2,X4,X5),X4,X3)
| s_t(ip(X0,X1,X2,X4,X5),X3,X4)
| ( ip(X0,X1,X2,X4,X5) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_480647]) ).
tcf(c_509599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,ip(X0,X1,X2,X4,X1))
| s_t(ip(X0,X1,X2,X4,X1),X3,X0)
| s_t(ip(X0,X1,X2,X4,X1),X0,X3)
| ( ip(X0,X1,X2,X4,X1) = X1 )
| ~ s_t(X4,X1,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_480648]) ).
tcf(c_509600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,X0)
| s_t(X1,X0,X3)
| s_t(X1,X3,ip(X0,X1,X2,X4,X1))
| ( ip(X0,X1,X2,X4,X1) = X1 )
| ~ s_t(X4,X1,X2)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_480601]) ).
tcf(c_509601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,ext(X1,ip(X2,X0,X3,X4,X5),X6,X7),ip(X2,X0,X3,X4,X5))
| ( ip(X2,X0,X3,X4,X5) = X0 )
| ( ext(X0,ip(X2,X0,X3,X4,X5),X6,X7) = ext(X1,ip(X2,X0,X3,X4,X5),X6,X7) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,ext(X1,ip(X2,X0,X3,X4,X5),X6,X7),X4) ),
inference(superposition,[status(thm)],[c_480702,c_480012]) ).
tcf(c_509602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),ip(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X6,X9))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,ip(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X6,X9))
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_480702,c_480260]) ).
tcf(c_509603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X5,ip(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X6,X9),X2)
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,ip(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X6,X9))
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_480702,c_480257]) ).
tcf(c_509604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),ip(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X6,X9))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,ip(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X6,X9))
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_480702,c_480322]) ).
tcf(c_509605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,ip(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X6,X9),X4)
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,ip(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X6,X9))
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_480702,c_480319]) ).
tcf(c_509606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ip(X1,X0,X2,X3,X4),ip(X1,X0,X2,X3,X4))
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,ip(X1,X0,X2,X3,X4),X3) ),
inference(equality_factoring,[status(thm)],[c_480702]) ).
tcf(c_510444,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( isomidpoint(X0,s(X2,X0),X1) = X2 )
| ~ s_m(X0,X1,s(X2,X0)) ),
inference(superposition,[status(thm)],[c_15938,c_483155]) ).
tcf(c_510445,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( isomidpoint(X1,s(X0,X1),X2) = X0 )
| ~ s_m(s(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_15943,c_483155]) ).
tcf(c_510457,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( isomidpoint(s(X0,X1),X1,X2) = X0 )
| ~ s_m(s(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_15938,c_483156]) ).
tcf(c_510458,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( isomidpoint(s(X2,X0),X0,X1) = X2 )
| ~ s_m(X0,X1,s(X2,X0)) ),
inference(superposition,[status(thm)],[c_15943,c_483156]) ).
tcf(c_510518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,ip(X2,X3,X4,X5,X6),X1)
| ( crossbar(X6,X1,ip(X2,X3,X4,X5,X6),X0,X1,X7) = X1 )
| ~ s_t(X6,X7,X0)
| ~ s_t(X6,X1,X2)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480703,c_480316]) ).
tcf(c_510519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,ip(X1,X2,X3,X4,X0),X7)
| ( crossbar(X0,X7,ip(X1,X2,X3,X4,X0),X5,X6,ip(X1,X2,X3,X4,X0)) = ip(X1,X2,X3,X4,X0) )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X7,X1)
| ~ s_t(X5,X6,ip(X1,X2,X3,X4,X0))
| ~ s_t(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_480703,c_480254]) ).
tcf(c_510520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),X5)
| ( X4 = X5 )
| ( ext(X4,X5,X5,ip(X0,X1,X2,X3,X4)) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_480013]) ).
tcf(c_510521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),X5)
| ( X4 = X5 )
| ( ext(X4,X5,ip(X0,X1,X2,X3,X4),X5) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_480011]) ).
tcf(c_510522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ip(X2,X3,X4,X5,X1),X6)
| ( ip(X1,X6,ip(X2,X3,X4,X5,X1),X0,X1) = X1 )
| ~ s_t(X5,X1,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X1,X6,X2)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X1)) ),
inference(superposition,[status(thm)],[c_480703,c_479924]) ).
tcf(c_510523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,ip(X2,X3,X4,X5,X6),X0)
| ( ip(X6,X0,ip(X2,X3,X4,X5,X6),X0,X1) = X0 )
| ~ s_t(X6,X0,X2)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480703,c_479914]) ).
tcf(c_510524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ip(X0,X1,X2,X3,X4),X4,X5)
| s_t(X4,ip(X0,X1,X2,X3,X4),X5)
| ( X4 = X5 )
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_238]) ).
tcf(c_510525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X5,X4,ip(X0,X1,X2,X3,X4))
| s_t(X4,ip(X0,X1,X2,X3,X4),X5)
| ( X4 = xb )
| ( X4 = X5 )
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_237]) ).
tcf(c_510526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X5,ip(X0,X1,X2,X3,X4),X4)
| s_t(X4,ip(X0,X1,X2,X3,X4),X5)
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_225]) ).
tcf(c_510527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(ip(X0,X1,X2,X3,X4),X4,X5)
| s_t(X4,ip(X0,X1,X2,X3,X4),X5)
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_224]) ).
tcf(c_510528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,ip(X0,X1,X2,X3,X4))
| s_t(X4,ip(X0,X1,X2,X3,X4),X5)
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_223]) ).
tcf(c_510529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),X6)
| ( X5 = X6 )
| ~ s_r(X4,X5,X6)
| ~ s_t(X4,X6,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_r(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480703,c_184]) ).
tcf(c_510530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X0,ip(X2,X3,X4,X5,X6))
| s_t(X6,ip(X2,X3,X4,X5,X6),X1)
| s_t(X0,X6,ip(X2,X3,X4,X5,X6))
| ( ip(X2,X3,X4,X5,X6) = X1 )
| ~ s_t(X6,X1,X2)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480703,c_147]) ).
tcf(c_510531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,X1,X6)
| s_t(X6,ip(X2,X3,X4,X5,X6),X1)
| ( X1 = X6 )
| ( ip(X2,X3,X4,X5,X6) = X1 )
| ~ s_t(X6,X1,X2)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ sameside(X0,X1,ip(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480703,c_145]) ).
tcf(c_510532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X6,X5,X4)
| sameside(X6,X5,ip(X0,X1,X2,X3,X4))
| s_t(X4,ip(X0,X1,X2,X3,X4),X5)
| ( X5 = X6 )
| ( X4 = X5 )
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_col(X6,X5,X4)
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_143]) ).
tcf(c_510533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ip(X2,X3,X4,X5,X0),X1)
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,X2)
| ~ sameside(X0,X1,ip(X2,X3,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_480703,c_133]) ).
tcf(c_510534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X6,X1,X0)
| s_t(X6,ip(X2,X3,X4,X5,X6),X1)
| ( X1 = X6 )
| ( X0 = X1 )
| ( ip(X2,X3,X4,X5,X6) = X1 )
| ~ s_t(X6,X1,X2)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480703,c_131]) ).
tcf(c_510535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X5,ip(X0,X1,X2,X3,X4))
| s_t(X4,ip(X0,X1,X2,X3,X4),X5)
| ( X5 = X6 )
| ( X4 = X5 )
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ sameside(X4,X5,X6)
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_125]) ).
tcf(c_510536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X6,X1)
| s_t(X0,X1,X6)
| s_t(X0,ip(X2,X3,X4,X5,X0),X6)
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X6,X2)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_480703,c_109]) ).
tcf(c_510537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,X6,ip(X0,X1,X2,X3,X4))
| s_t(X5,ip(X0,X1,X2,X3,X4),X6)
| s_t(X4,ip(X0,X1,X2,X3,X4),X5)
| ( X4 = X5 )
| ~ s_t(X4,X5,X6)
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_108]) ).
tcf(c_510538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X6,ip(X0,X1,X2,X3,X4))
| s_t(X4,ip(X0,X1,X2,X3,X4),X6)
| s_t(X4,ip(X0,X1,X2,X3,X4),X5)
| ( X4 = X5 )
| ~ s_t(X4,X5,X6)
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_107]) ).
tcf(c_510539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,X0,X6)
| s_t(X5,ip(X1,X2,X3,X4,X5),X0)
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X5,X0,X1)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480703,c_81]) ).
tcf(c_510540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X6,X5)
| s_t(X0,ip(X1,X2,X3,X4,X0),X6)
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X6,X1)
| ~ s_t(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_480703,c_80]) ).
tcf(c_510541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X1,ip(X2,X3,X4,X5,X6))
| s_t(X6,ip(X2,X3,X4,X5,X6),X0)
| ~ s_t(X6,X0,X2)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480703,c_79]) ).
tcf(c_510542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X5),X6)
| s_t(X5,ip(X1,X2,X3,X4,X5),X0)
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X5,X0,X1)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480703,c_78]) ).
tcf(c_510543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,ip(X1,X2,X3,X4,X0),X5)
| s_t(X0,ip(X1,X2,X3,X4,X0),X6)
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X6,X1)
| ~ s_t(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_480703,c_77]) ).
tcf(c_510544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X0,X1)
| s_t(X6,ip(X2,X3,X4,X5,X6),X0)
| ~ s_t(X6,X0,X2)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480703,c_76]) ).
tcf(c_510545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ip(X2,X3,X4,X5,X1),X0)
| ( X0 = X1 )
| ~ s_t(X5,X1,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X1)) ),
inference(superposition,[status(thm)],[c_480703,c_75]) ).
tcf(c_510546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),X5)
| s_t(ip(X0,X1,X2,X3,X4),X5,X4)
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_73]) ).
tcf(c_510547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X1,ip(X4,X5,X6,X7,X0))
| s_t(X0,ip(X4,X5,X6,X7,X0),ext(X0,X1,X2,X3))
| ~ s_t(X7,X0,X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480703,c_480204]) ).
tcf(c_510548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ext(X0,X1,X2,X3),ip(X4,X5,X6,X7,X0))
| s_t(X0,ip(X4,X5,X6,X7,X0),ext(X0,X1,X2,X3))
| ~ s_t(X7,X0,X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480703,c_480134]) ).
tcf(c_510549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X0,ip(X4,X5,X6,X7,X0))
| s_t(X0,ip(X4,X5,X6,X7,X0),ext(X1,X0,X2,X3))
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X7,X0,X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480703,c_480227]) ).
tcf(c_510550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ext(X1,X0,X2,X3),ip(X4,X5,X6,X7,X0))
| s_t(X0,ip(X4,X5,X6,X7,X0),ext(X1,X0,X2,X3))
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X7,X0,X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480703,c_480157]) ).
tcf(c_510551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),ip(X5,X8,X7,X6,ip(X0,X1,X2,X3,X4)))
| s_t(ip(X0,X1,X2,X3,X4),ip(X5,X8,X7,X6,ip(X0,X1,X2,X3,X4)),X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_480703,c_480228]) ).
tcf(c_510552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,X3,ip(X5,X8,X7,X6,ip(X0,X1,X2,X3,X4)))
| s_t(ip(X0,X1,X2,X3,X4),ip(X5,X8,X7,X6,ip(X0,X1,X2,X3,X4)),X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_480703,c_480158]) ).
tcf(c_510553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),ip(X5,X8,X7,X6,ip(X0,X1,X2,X3,X4)))
| s_t(ip(X0,X1,X2,X3,X4),ip(X5,X8,X7,X6,ip(X0,X1,X2,X3,X4)),X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480703,c_480229]) ).
tcf(c_510554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,X0,ip(X5,X8,X7,X6,ip(X0,X1,X2,X3,X4)))
| s_t(ip(X0,X1,X2,X3,X4),ip(X5,X8,X7,X6,ip(X0,X1,X2,X3,X4)),X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480703,c_480159]) ).
tcf(c_510555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,ip(X5,X6,X7,X8,X0),ip(X1,X0,X2,X3,X4))
| s_t(ip(X1,X0,X2,X3,X4),X3,ip(X5,X6,X7,X8,X0))
| s_t(ip(X1,X0,X2,X3,X4),ip(X5,X6,X7,X8,X0),X3)
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X8,X0,X7)
| ~ s_t(X5,X6,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480703,c_480647]) ).
tcf(c_510556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,X3,ip(X5,X6,X7,X8,X0))
| s_t(X0,ip(X5,X6,X7,X8,X0),X3)
| s_t(X0,ip(X5,X6,X7,X8,X0),ip(X1,X0,X2,X3,X4))
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X8,X0,X7)
| ~ s_t(X5,X6,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480703,c_480600]) ).
tcf(c_510557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,ip(X5,X6,X7,X8,X0),ip(X1,X2,X3,X4,X0))
| s_t(ip(X1,X2,X3,X4,X0),X1,ip(X5,X6,X7,X8,X0))
| s_t(ip(X1,X2,X3,X4,X0),ip(X5,X6,X7,X8,X0),X1)
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X8,X0,X7)
| ~ s_t(X5,X6,X7)
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_480703,c_480648]) ).
tcf(c_510558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,X1,ip(X5,X6,X7,X8,X0))
| s_t(X0,ip(X5,X6,X7,X8,X0),X1)
| s_t(X0,ip(X5,X6,X7,X8,X0),ip(X1,X2,X3,X4,X0))
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X8,X0,X7)
| ~ s_t(X5,X6,X7)
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_480703,c_480601]) ).
tcf(c_510559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X0,ip(X6,X7,X8,X9,X0),crossbar(X1,X2,X3,X4,X5,X0))
| s_t(crossbar(X1,X2,X3,X4,X5,X0),X3,ip(X6,X7,X8,X9,X0))
| s_t(crossbar(X1,X2,X3,X4,X5,X0),ip(X6,X7,X8,X9,X0),X3)
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X9,X0,X8)
| ~ s_t(X6,X7,X8)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_480703,c_480651]) ).
tcf(c_510560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X0,X3,ip(X6,X7,X8,X9,X0))
| s_t(X0,ip(X6,X7,X8,X9,X0),X3)
| s_t(X0,ip(X6,X7,X8,X9,X0),crossbar(X1,X2,X3,X4,X5,X0))
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X9,X0,X8)
| ~ s_t(X6,X7,X8)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_480703,c_480604]) ).
tcf(c_510561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X5,X2,ip(X6,X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5)))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),ip(X6,X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5)),X2)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_480703,c_480258]) ).
tcf(c_510562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),ip(X6,X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5)))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),ip(X6,X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5)),X2)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_480703,c_480255]) ).
tcf(c_510563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X0,ip(X6,X7,X8,X9,X0),crossbar(X1,X0,X2,X3,X4,X5))
| s_t(crossbar(X1,X0,X2,X3,X4,X5),X4,ip(X6,X7,X8,X9,X0))
| s_t(crossbar(X1,X0,X2,X3,X4,X5),ip(X6,X7,X8,X9,X0),X4)
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X9,X0,X8)
| ~ s_t(X6,X7,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480703,c_480652]) ).
tcf(c_510564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X0,X4,ip(X6,X7,X8,X9,X0))
| s_t(X0,ip(X6,X7,X8,X9,X0),X4)
| s_t(X0,ip(X6,X7,X8,X9,X0),crossbar(X1,X0,X2,X3,X4,X5))
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X9,X0,X8)
| ~ s_t(X6,X7,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480703,c_480605]) ).
tcf(c_510565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,X4,ip(X6,X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5)))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),ip(X6,X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5)),X4)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_480703,c_480320]) ).
tcf(c_510566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),ip(X6,X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5)))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),ip(X6,X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5)),X4)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_480703,c_480317]) ).
tcf(c_510567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X4,ip(X0,X1,X2,X3,X4))
| s_e(X5,X5,ip(X0,X1,X2,X3,X4),X4)
| ~ s_t(X4,X4,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_507196]) ).
tcf(c_510568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X4,ip(X0,X1,X2,X3,X4))
| s_e(X5,X5,X4,ip(X0,X1,X2,X3,X4))
| ~ s_t(X4,X4,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_507140]) ).
tcf(c_510569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X4,ip(X0,X1,X2,X3,X4))
| s_t(X5,ext(ext(X5,X5,alpha,gamma),X5,X4,ip(X0,X1,X2,X3,X4)),X5)
| ~ s_t(X4,X4,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_480409]) ).
tcf(c_510570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X4,ip(X0,X1,X2,X3,X4))
| le(X4,ip(X0,X1,X2,X3,X4),X5,X5)
| ~ s_t(X4,X4,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_480892]) ).
tcf(c_510571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(X4,ip(X0,X1,X2,X3,X4),X4)
| s_t(X4,X4,ip(X0,X1,X2,X3,X4))
| ~ s_t(X4,X4,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_486468]) ).
tcf(c_510572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ip(X0,X1,X2,X3,X4),X4)
| s_t(X4,X4,ip(X0,X1,X2,X3,X4))
| ~ s_t(X4,X4,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_480184]) ).
tcf(c_510573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X4,ip(X0,X1,X2,X3,X4))
| s_t(X4,X4,ip(X0,X1,X2,X3,X4))
| ~ s_t(X4,X4,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_480114]) ).
tcf(c_510574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X4,ip(X0,X1,X2,X3,X4))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X4,X4,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_55]) ).
tcf(c_510575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,X6,ip(X1,X2,X3,X4,X5))
| ( crossbar(X5,ip(X1,X2,X3,X4,X5),X6,X0,ip(X1,X2,X3,X4,X5),X7) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X5,X7,X0)
| ~ s_t(X5,X6,X1)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480703,c_480316]) ).
tcf(c_510576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,X5,ip(X0,X1,X2,X3,X4))
| ( crossbar(X4,ip(X0,X1,X2,X3,X4),X5,X6,X7,X5) = X5 )
| ~ s_t(X6,X7,X5)
| ~ s_t(X4,X5,X6)
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_480254]) ).
tcf(c_510577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X5,ip(X0,X1,X2,X3,X4))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ext(X4,ip(X0,X1,X2,X3,X4),ip(X0,X1,X2,X3,X4),X5) = X5 )
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_480013]) ).
tcf(c_510578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X5,ip(X0,X1,X2,X3,X4))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ext(X4,ip(X0,X1,X2,X3,X4),X5,ip(X0,X1,X2,X3,X4)) = X5 )
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_480011]) ).
tcf(c_510579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X5,ip(X0,X1,X2,X3,X4))
| ( ip(X4,ip(X0,X1,X2,X3,X4),X5,X6,X4) = X4 )
| ~ s_t(X6,X4,X5)
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_479924]) ).
tcf(c_510580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X6,ip(X0,X1,X2,X3,X4))
| ( ip(X4,ip(X0,X1,X2,X3,X4),X6,ip(X0,X1,X2,X3,X4),X5) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X4,X6,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480703,c_479914]) ).
tcf(c_510581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X5,X4,ip(X0,X1,X2,X3,X4))
| s_t(X4,X5,ip(X0,X1,X2,X3,X4))
| ( X4 = X5 )
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_238]) ).
tcf(c_510582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ip(X0,X1,X2,X3,X4),X4,X5)
| s_t(X4,X5,ip(X0,X1,X2,X3,X4))
| ( X4 = xb )
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_237]) ).
tcf(c_510583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(ip(X0,X1,X2,X3,X4),X5,X4)
| s_t(X4,X5,ip(X0,X1,X2,X3,X4))
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_225]) ).
tcf(c_510584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X5,X4,ip(X0,X1,X2,X3,X4))
| s_t(X4,X5,ip(X0,X1,X2,X3,X4))
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_224]) ).
tcf(c_510585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,ip(X0,X1,X2,X3,X4),X5)
| s_t(X4,X5,ip(X0,X1,X2,X3,X4))
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_223]) ).
tcf(c_510586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X6,ip(X2,X3,X4,X5,X0))
| ( ip(X2,X3,X4,X5,X0) = X1 )
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X6,X2)
| ~ s_r(X6,X1,ip(X2,X3,X4,X5,X0))
| ~ s_r(X0,X1,ip(X2,X3,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_480703,c_184]) ).
tcf(c_510587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,X0,X6)
| s_t(X0,X5,X6)
| s_t(X5,X6,ip(X1,X2,X3,X4,X5))
| ( ip(X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X5,X6,X1)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480703,c_147]) ).
tcf(c_510588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,ip(X1,X2,X3,X4,X5),X5)
| s_t(X5,X6,ip(X1,X2,X3,X4,X5))
| ( ip(X1,X2,X3,X4,X5) = X6 )
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ~ s_t(X5,X6,X1)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480703,c_145]) ).
tcf(c_510589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X0,ip(X1,X2,X3,X4,X5),X6)
| sameside(X0,ip(X1,X2,X3,X4,X5),X5)
| s_t(X5,X6,ip(X1,X2,X3,X4,X5))
| ( ip(X1,X2,X3,X4,X5) = X6 )
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X5,X6,X1)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_col(X0,ip(X1,X2,X3,X4,X5),X5) ),
inference(superposition,[status(thm)],[c_480703,c_143]) ).
tcf(c_510590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,ip(X1,X2,X3,X4,X0))
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X5,X1)
| ~ sameside(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_480703,c_133]) ).
tcf(c_510591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X5,ip(X1,X2,X3,X4,X5),X0)
| s_t(X5,X6,ip(X1,X2,X3,X4,X5))
| ( ip(X1,X2,X3,X4,X5) = X6 )
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X5,X6,X1)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480703,c_131]) ).
tcf(c_510592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X0),X6)
| s_t(X0,X6,ip(X1,X2,X3,X4,X0))
| ( ip(X1,X2,X3,X4,X0) = X6 )
| ( ip(X1,X2,X3,X4,X0) = X5 )
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X6,X1)
| ~ sameside(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_480703,c_125]) ).
tcf(c_510593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X6,ip(X0,X1,X2,X3,X4))
| s_t(X4,X5,ip(X0,X1,X2,X3,X4))
| s_t(X4,ip(X0,X1,X2,X3,X4),X6)
| ~ s_t(X4,X6,X5)
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_109]) ).
tcf(c_510594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X6,ip(X1,X2,X3,X4,X0))
| s_t(ip(X1,X2,X3,X4,X0),X6,X5)
| s_t(ip(X1,X2,X3,X4,X0),X5,X6)
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X6,X1)
| ~ s_t(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_480703,c_108]) ).
tcf(c_510595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X6,X5)
| s_t(X0,X5,X6)
| s_t(X0,X6,ip(X1,X2,X3,X4,X0))
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X6,X1)
| ~ s_t(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_480703,c_107]) ).
tcf(c_510596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X5,ip(X0,X1,X2,X3,X4))
| s_t(X4,ip(X0,X1,X2,X3,X4),X6)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480703,c_81]) ).
tcf(c_510597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X5,ip(X0,X1,X2,X3,X4))
| s_t(X4,ip(X0,X1,X2,X3,X4),X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_80]) ).
tcf(c_510598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X5,X6)
| s_t(X4,X6,ip(X0,X1,X2,X3,X4))
| ~ s_t(X4,X6,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480703,c_79]) ).
tcf(c_510599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X5,X6)
| s_t(X4,X5,ip(X0,X1,X2,X3,X4))
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480703,c_78]) ).
tcf(c_510600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X5,ip(X0,X1,X2,X3,X4))
| s_t(ip(X0,X1,X2,X3,X4),X5,X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_77]) ).
tcf(c_510601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X6,ip(X0,X1,X2,X3,X4))
| s_t(X4,ip(X0,X1,X2,X3,X4),X5)
| ~ s_t(X4,X6,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480703,c_76]) ).
tcf(c_510602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X5,ip(X0,X1,X2,X3,X4))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X4,X5) ),
inference(superposition,[status(thm)],[c_480703,c_75]) ).
tcf(c_510603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ip(X0,X1,X2,X3,X4),X4)
| s_t(X4,X5,ip(X0,X1,X2,X3,X4))
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_73]) ).
tcf(c_510604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ext(ip(X1,X2,X3,X4,X0),X0,X5,X6),ip(X1,X2,X3,X4,X0))
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ext(ip(X1,X2,X3,X4,X0),X0,X5,X6),X1) ),
inference(superposition,[status(thm)],[c_480703,c_480090]) ).
tcf(c_510605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,ext(X1,X0,X2,X3),ip(X4,X5,X6,X7,X0))
| s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,ip(X4,X5,X6,X7,X0)),X3)
| ~ s_t(X7,X0,X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480703,c_480407]) ).
tcf(c_510606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ip(X4,X5,X6,X7,X0),ext(X1,X0,X2,X3))
| s_t(X0,ext(X1,X0,X2,X3),ip(X4,X5,X6,X7,X0))
| ~ s_t(X7,X0,X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480703,c_480181]) ).
tcf(c_510607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X0,ip(X4,X5,X6,X7,X0))
| s_t(X0,ext(X1,X0,X2,X3),ip(X4,X5,X6,X7,X0))
| ~ s_t(X7,X0,X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480703,c_480111]) ).
tcf(c_510608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X1,ip(X4,X5,X6,X7,X0))
| s_t(X0,ip(X4,X5,X6,X7,X0),X1)
| s_t(X0,ext(X0,X1,X2,X3),ip(X4,X5,X6,X7,X0))
| ~ s_t(X7,X0,X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480703,c_480701]) ).
tcf(c_510609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ip(X5,X8,X7,X6,ip(X0,X1,X2,X3,X4)),X3)
| s_t(ip(X0,X1,X2,X3,X4),X3,ip(X5,X8,X7,X6,ip(X0,X1,X2,X3,X4)))
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_480703,c_480182]) ).
tcf(c_510610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),ip(X5,X8,X7,X6,ip(X0,X1,X2,X3,X4)))
| s_t(ip(X0,X1,X2,X3,X4),X3,ip(X5,X8,X7,X6,ip(X0,X1,X2,X3,X4)))
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_480703,c_480112]) ).
tcf(c_510611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,ip(X5,X8,X7,X6,ip(X0,X1,X2,X3,X4)),X0)
| s_t(ip(X0,X1,X2,X3,X4),X0,ip(X5,X8,X7,X6,ip(X0,X1,X2,X3,X4)))
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480703,c_480183]) ).
tcf(c_510612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),ip(X5,X8,X7,X6,ip(X0,X1,X2,X3,X4)))
| s_t(ip(X0,X1,X2,X3,X4),X0,ip(X5,X8,X7,X6,ip(X0,X1,X2,X3,X4)))
| ~ s_t(X5,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480703,c_480113]) ).
tcf(c_510613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,ip(X0,X1,X2,X4,X1))
| s_t(ip(X0,X1,X2,X4,X1),X4,X3)
| s_t(ip(X0,X1,X2,X4,X1),X3,X4)
| ( ip(X0,X1,X2,X4,X1) = X1 )
| ~ s_t(X4,X1,X2)
| ~ s_t(X1,X3,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_480647]) ).
tcf(c_510614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X4,X3)
| s_t(X1,X3,X4)
| s_t(X1,X3,ip(X0,X1,X2,X4,X1))
| ( ip(X0,X1,X2,X4,X1) = X1 )
| ~ s_t(X4,X1,X2)
| ~ s_t(X1,X3,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_480600]) ).
tcf(c_510615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X5,ip(X0,X1,X2,X3,X4))
| s_t(ip(X0,X1,X2,X3,X4),X5,X0)
| s_t(ip(X0,X1,X2,X3,X4),X0,X5)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X4,X5,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_480648]) ).
tcf(c_510617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,ext(X1,ip(X2,X3,X4,X5,X0),X6,X7),ip(X2,X3,X4,X5,X0))
| ( ip(X2,X3,X4,X5,X0) = X0 )
| ( ext(X0,ip(X2,X3,X4,X5,X0),X6,X7) = ext(X1,ip(X2,X3,X4,X5,X0),X6,X7) )
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,ext(X1,ip(X2,X3,X4,X5,X0),X6,X7),X2) ),
inference(superposition,[status(thm)],[c_480703,c_480012]) ).
tcf(c_510618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),ip(X6,X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5)))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,ip(X6,X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5)))
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_480703,c_480260]) ).
tcf(c_510619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X5,ip(X6,X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5)),X2)
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,ip(X6,X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5)))
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_480703,c_480257]) ).
tcf(c_510620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),ip(X6,X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5)))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,ip(X6,X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5)))
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_480703,c_480322]) ).
tcf(c_510621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,ip(X6,X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5)),X4)
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,ip(X6,X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5)))
| ~ s_t(X6,X9,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_480703,c_480319]) ).
tcf(c_510622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ip(X1,X2,X3,X4,X0),ip(X1,X2,X3,X4,X0))
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X0),X1) ),
inference(equality_factoring,[status(thm)],[c_480703]) ).
tcf(c_511607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X7,crossbar(X2,X3,X4,X5,X6,X7),X1)
| ( crossbar(X7,X1,crossbar(X2,X3,X4,X5,X6,X7),X0,X1,X8) = X1 )
| ~ s_t(X7,X8,X0)
| ~ s_t(X7,X1,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480706,c_480316]) ).
tcf(c_511608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),X8)
| ( crossbar(X0,X8,crossbar(X1,X2,X3,X4,X5,X0),X6,X7,crossbar(X1,X2,X3,X4,X5,X0)) = crossbar(X1,X2,X3,X4,X5,X0) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,X8,X3)
| ~ s_t(X6,X7,crossbar(X1,X2,X3,X4,X5,X0))
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_480706,c_480254]) ).
tcf(c_511609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ( X3 = X5 )
| ( ext(X3,X5,X5,crossbar(X0,X1,X2,X4,X6,X3)) = crossbar(X0,X1,X2,X4,X6,X3) )
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_480013]) ).
tcf(c_511610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ( X3 = X5 )
| ( ext(X3,X5,crossbar(X0,X1,X2,X4,X6,X3),X5) = crossbar(X0,X1,X2,X4,X6,X3) )
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_480011]) ).
tcf(c_511611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,crossbar(X2,X3,X4,X5,X6,X1),X7)
| ( ip(X1,X7,crossbar(X2,X3,X4,X5,X6,X1),X0,X1) = X1 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X1,X5)
| ~ s_t(X1,X7,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X1)) ),
inference(superposition,[status(thm)],[c_480706,c_479924]) ).
tcf(c_511612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,crossbar(X2,X3,X4,X5,X6,X7),X0)
| ( ip(X7,X0,crossbar(X2,X3,X4,X5,X6,X7),X0,X1) = X0 )
| ~ s_t(X7,X0,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480706,c_479914]) ).
tcf(c_511613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(crossbar(X0,X1,X2,X4,X6,X3),X3,X5)
| s_t(X3,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ( X3 = X5 )
| ( crossbar(X0,X1,X2,X4,X6,X3) = X3 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_238]) ).
tcf(c_511614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X5,X3,crossbar(X0,X1,X2,X4,X6,X3))
| s_t(X3,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ( X3 = xb )
| ( X3 = X5 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_237]) ).
tcf(c_511615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,crossbar(X0,X1,X2,X4,X6,X3),X3)
| s_t(X3,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_225]) ).
tcf(c_511616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(crossbar(X0,X1,X2,X4,X6,X3),X3,X5)
| s_t(X3,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_224]) ).
tcf(c_511617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X3,X5,crossbar(X0,X1,X2,X4,X6,X3))
| s_t(X3,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_223]) ).
tcf(c_511618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),X7)
| ( X6 = X7 )
| ~ s_r(X5,X6,X7)
| ~ s_t(X5,X7,X2)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_r(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480706,c_184]) ).
tcf(c_511619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,X0,crossbar(X2,X3,X4,X5,X6,X7))
| s_t(X7,crossbar(X2,X3,X4,X5,X6,X7),X1)
| s_t(X0,X7,crossbar(X2,X3,X4,X5,X6,X7))
| ( crossbar(X2,X3,X4,X5,X6,X7) = X1 )
| ~ s_t(X7,X1,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480706,c_147]) ).
tcf(c_511620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X7)
| s_t(X7,crossbar(X2,X3,X4,X5,X6,X7),X1)
| ( X1 = X7 )
| ( crossbar(X2,X3,X4,X5,X6,X7) = X1 )
| ~ s_t(X7,X1,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ sameside(X0,X1,crossbar(X2,X3,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480706,c_145]) ).
tcf(c_511621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X7,X5,X3)
| sameside(X7,X5,crossbar(X0,X1,X2,X4,X6,X3))
| s_t(X3,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ( X5 = X7 )
| ( X3 = X5 )
| ( crossbar(X0,X1,X2,X4,X6,X3) = X5 )
| ~ s_col(X7,X5,X3)
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_143]) ).
tcf(c_511622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,crossbar(X2,X3,X4,X5,X6,X0),X1)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X0,X5)
| ~ s_t(X0,X1,X4)
| ~ sameside(X0,X1,crossbar(X2,X3,X4,X5,X6,X0)) ),
inference(superposition,[status(thm)],[c_480706,c_133]) ).
tcf(c_511623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X7,X1,X0)
| s_t(X7,crossbar(X2,X3,X4,X5,X6,X7),X1)
| ( X1 = X7 )
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,X6,X7) = X1 )
| ~ s_t(X7,X1,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480706,c_131]) ).
tcf(c_511624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,X5,crossbar(X0,X1,X2,X4,X6,X3))
| s_t(X3,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ( X5 = X7 )
| ( X3 = X5 )
| ( crossbar(X0,X1,X2,X4,X6,X3) = X5 )
| ~ sameside(X3,X5,X7)
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_125]) ).
tcf(c_511625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X7,X1)
| s_t(X0,X1,X7)
| s_t(X0,crossbar(X2,X3,X4,X5,X6,X0),X7)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X0,X5)
| ~ s_t(X0,X7,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X0)) ),
inference(superposition,[status(thm)],[c_480706,c_109]) ).
tcf(c_511626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,X6,crossbar(X0,X1,X2,X4,X7,X3))
| s_t(X5,crossbar(X0,X1,X2,X4,X7,X3),X6)
| s_t(X3,crossbar(X0,X1,X2,X4,X7,X3),X5)
| ( X3 = X5 )
| ~ s_t(X4,X7,X2)
| ~ s_t(X3,X5,X6)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_108]) ).
tcf(c_511627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X6,crossbar(X0,X1,X2,X4,X7,X3))
| s_t(X3,crossbar(X0,X1,X2,X4,X7,X3),X6)
| s_t(X3,crossbar(X0,X1,X2,X4,X7,X3),X5)
| ( X3 = X5 )
| ~ s_t(X4,X7,X2)
| ~ s_t(X3,X5,X6)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_107]) ).
tcf(c_511628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,X0,X7)
| s_t(X6,crossbar(X1,X2,X3,X4,X5,X6),X0)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X6,X0,X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480706,c_81]) ).
tcf(c_511629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X7,X6)
| s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,X7,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_480706,c_80]) ).
tcf(c_511630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,X1,crossbar(X2,X3,X4,X5,X6,X7))
| s_t(X7,crossbar(X2,X3,X4,X5,X6,X7),X0)
| ~ s_t(X7,X0,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480706,c_79]) ).
tcf(c_511631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,crossbar(X1,X2,X3,X4,X5,X6),X7)
| s_t(X6,crossbar(X1,X2,X3,X4,X5,X6),X0)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X6,X0,X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480706,c_78]) ).
tcf(c_511632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,crossbar(X1,X2,X3,X4,X5,X0),X6)
| s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,X7,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_480706,c_77]) ).
tcf(c_511633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,X0,X1)
| s_t(X7,crossbar(X2,X3,X4,X5,X6,X7),X0)
| ~ s_t(X7,X0,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480706,c_76]) ).
tcf(c_511634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,crossbar(X2,X3,X4,X5,X6,X1),X0)
| ( X0 = X1 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X1,X5)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X1)) ),
inference(superposition,[status(thm)],[c_480706,c_75]) ).
tcf(c_511635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X6,X3),X5)
| s_t(crossbar(X0,X1,X2,X4,X6,X3),X5,X3)
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_73]) ).
tcf(c_511636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,X1,crossbar(X5,X6,X4,X7,X8,X0))
| s_t(X0,crossbar(X5,X6,X4,X7,X8,X0),ext(X0,X1,X2,X3))
| ~ s_t(X7,X8,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X5,X0,X7)
| ~ s_t(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480706,c_480204]) ).
tcf(c_511637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ext(X0,X1,X2,X3),crossbar(X5,X6,X4,X7,X8,X0))
| s_t(X0,crossbar(X5,X6,X4,X7,X8,X0),ext(X0,X1,X2,X3))
| ~ s_t(X7,X8,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X5,X0,X7)
| ~ s_t(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480706,c_480134]) ).
tcf(c_511638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,X0,crossbar(X5,X6,X4,X7,X8,X0))
| s_t(X0,crossbar(X5,X6,X4,X7,X8,X0),ext(X1,X0,X2,X3))
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X7,X8,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X5,X0,X7)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480706,c_480227]) ).
tcf(c_511639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ext(X1,X0,X2,X3),crossbar(X5,X6,X4,X7,X8,X0))
| s_t(X0,crossbar(X5,X6,X4,X7,X8,X0),ext(X1,X0,X2,X3))
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X7,X8,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X5,X0,X7)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480706,c_480157]) ).
tcf(c_511640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),crossbar(X6,X8,X5,X7,X9,ip(X0,X1,X2,X3,X4)))
| s_t(ip(X0,X1,X2,X3,X4),crossbar(X6,X8,X5,X7,X9,ip(X0,X1,X2,X3,X4)),X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X7,X9,X5)
| ~ s_t(X6,X8,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_480706,c_480228]) ).
tcf(c_511641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,X3,crossbar(X6,X8,X5,X7,X9,ip(X0,X1,X2,X3,X4)))
| s_t(ip(X0,X1,X2,X3,X4),crossbar(X6,X8,X5,X7,X9,ip(X0,X1,X2,X3,X4)),X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X7,X9,X5)
| ~ s_t(X6,X8,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_480706,c_480158]) ).
tcf(c_511642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),crossbar(X6,X8,X5,X7,X9,ip(X0,X1,X2,X3,X4)))
| s_t(ip(X0,X1,X2,X3,X4),crossbar(X6,X8,X5,X7,X9,ip(X0,X1,X2,X3,X4)),X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X7,X9,X5)
| ~ s_t(X6,X8,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480706,c_480229]) ).
tcf(c_511643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X4,X0,crossbar(X6,X8,X5,X7,X9,ip(X0,X1,X2,X3,X4)))
| s_t(ip(X0,X1,X2,X3,X4),crossbar(X6,X8,X5,X7,X9,ip(X0,X1,X2,X3,X4)),X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X7,X9,X5)
| ~ s_t(X6,X8,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480706,c_480159]) ).
tcf(c_511644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X0,crossbar(X6,X7,X5,X8,X9,X0),ip(X1,X0,X2,X3,X4))
| s_t(ip(X1,X0,X2,X3,X4),X3,crossbar(X6,X7,X5,X8,X9,X0))
| s_t(ip(X1,X0,X2,X3,X4),crossbar(X6,X7,X5,X8,X9,X0),X3)
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X8,X9,X5)
| ~ s_t(X6,X7,X5)
| ~ s_t(X6,X0,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480706,c_480647]) ).
tcf(c_511645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X0,X3,crossbar(X6,X7,X5,X8,X9,X0))
| s_t(X0,crossbar(X6,X7,X5,X8,X9,X0),X3)
| s_t(X0,crossbar(X6,X7,X5,X8,X9,X0),ip(X1,X0,X2,X3,X4))
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X8,X9,X5)
| ~ s_t(X6,X7,X5)
| ~ s_t(X6,X0,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480706,c_480600]) ).
tcf(c_511646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X0,crossbar(X6,X7,X5,X8,X9,X0),ip(X1,X2,X3,X4,X0))
| s_t(ip(X1,X2,X3,X4,X0),X1,crossbar(X6,X7,X5,X8,X9,X0))
| s_t(ip(X1,X2,X3,X4,X0),crossbar(X6,X7,X5,X8,X9,X0),X1)
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X8,X9,X5)
| ~ s_t(X6,X7,X5)
| ~ s_t(X6,X0,X8)
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_480706,c_480648]) ).
tcf(c_511647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X0,X1,crossbar(X6,X7,X5,X8,X9,X0))
| s_t(X0,crossbar(X6,X7,X5,X8,X9,X0),X1)
| s_t(X0,crossbar(X6,X7,X5,X8,X9,X0),ip(X1,X2,X3,X4,X0))
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X8,X9,X5)
| ~ s_t(X6,X7,X5)
| ~ s_t(X6,X0,X8)
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_480706,c_480601]) ).
tcf(c_511648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X0,crossbar(X7,X8,X6,X9,X10,X0),crossbar(X1,X2,X3,X4,X5,X0))
| s_t(crossbar(X1,X2,X3,X4,X5,X0),X3,crossbar(X7,X8,X6,X9,X10,X0))
| s_t(crossbar(X1,X2,X3,X4,X5,X0),crossbar(X7,X8,X6,X9,X10,X0),X3)
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X9,X10,X6)
| ~ s_t(X7,X8,X6)
| ~ s_t(X7,X0,X9)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_480706,c_480651]) ).
tcf(c_511649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X0,X3,crossbar(X7,X8,X6,X9,X10,X0))
| s_t(X0,crossbar(X7,X8,X6,X9,X10,X0),X3)
| s_t(X0,crossbar(X7,X8,X6,X9,X10,X0),crossbar(X1,X2,X3,X4,X5,X0))
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X9,X10,X6)
| ~ s_t(X7,X8,X6)
| ~ s_t(X7,X0,X9)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_480706,c_480604]) ).
tcf(c_511650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X5,X2,crossbar(X7,X9,X6,X8,X10,crossbar(X0,X1,X2,X3,X4,X5)))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),crossbar(X7,X9,X6,X8,X10,crossbar(X0,X1,X2,X3,X4,X5)),X2)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X8,X10,X6)
| ~ s_t(X7,X9,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_480706,c_480258]) ).
tcf(c_511651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),crossbar(X7,X9,X6,X8,X10,crossbar(X0,X1,X2,X3,X4,X5)))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),crossbar(X7,X9,X6,X8,X10,crossbar(X0,X1,X2,X3,X4,X5)),X2)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X8,X10,X6)
| ~ s_t(X7,X9,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_480706,c_480255]) ).
tcf(c_511652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X0,crossbar(X7,X8,X6,X9,X10,X0),crossbar(X1,X0,X2,X3,X4,X5))
| s_t(crossbar(X1,X0,X2,X3,X4,X5),X4,crossbar(X7,X8,X6,X9,X10,X0))
| s_t(crossbar(X1,X0,X2,X3,X4,X5),crossbar(X7,X8,X6,X9,X10,X0),X4)
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X9,X10,X6)
| ~ s_t(X7,X8,X6)
| ~ s_t(X7,X0,X9)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480706,c_480652]) ).
tcf(c_511653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X0,X4,crossbar(X7,X8,X6,X9,X10,X0))
| s_t(X0,crossbar(X7,X8,X6,X9,X10,X0),X4)
| s_t(X0,crossbar(X7,X8,X6,X9,X10,X0),crossbar(X1,X0,X2,X3,X4,X5))
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X9,X10,X6)
| ~ s_t(X7,X8,X6)
| ~ s_t(X7,X0,X9)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480706,c_480605]) ).
tcf(c_511654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X1,X4,crossbar(X7,X9,X6,X8,X10,crossbar(X0,X1,X2,X3,X4,X5)))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),crossbar(X7,X9,X6,X8,X10,crossbar(X0,X1,X2,X3,X4,X5)),X4)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X8,X10,X6)
| ~ s_t(X7,X9,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_480706,c_480320]) ).
tcf(c_511655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),crossbar(X7,X9,X6,X8,X10,crossbar(X0,X1,X2,X3,X4,X5)))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),crossbar(X7,X9,X6,X8,X10,crossbar(X0,X1,X2,X3,X4,X5)),X4)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X8,X10,X6)
| ~ s_t(X7,X9,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_480706,c_480317]) ).
tcf(c_511656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X3,crossbar(X0,X1,X2,X4,X5,X3))
| s_e(X6,X6,crossbar(X0,X1,X2,X4,X5,X3),X3)
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X3,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_507196]) ).
tcf(c_511657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X3,crossbar(X0,X1,X2,X4,X5,X3))
| s_e(X6,X6,X3,crossbar(X0,X1,X2,X4,X5,X3))
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X3,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_507140]) ).
tcf(c_511658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X3,crossbar(X0,X1,X2,X4,X5,X3))
| s_t(X6,ext(ext(X6,X6,alpha,gamma),X6,X3,crossbar(X0,X1,X2,X4,X5,X3)),X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X3,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_480409]) ).
tcf(c_511659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X3,crossbar(X0,X1,X2,X4,X5,X3))
| le(X3,crossbar(X0,X1,X2,X4,X5,X3),X6,X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X3,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_480892]) ).
tcf(c_511660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_m(X3,crossbar(X0,X1,X2,X4,X5,X3),X3)
| s_t(X3,X3,crossbar(X0,X1,X2,X4,X5,X3))
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X3,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_486468]) ).
tcf(c_511661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,crossbar(X0,X1,X2,X4,X5,X3),X3)
| s_t(X3,X3,crossbar(X0,X1,X2,X4,X5,X3))
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X3,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_480184]) ).
tcf(c_511662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X3,crossbar(X0,X1,X2,X4,X5,X3))
| s_t(X3,X3,crossbar(X0,X1,X2,X4,X5,X3))
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X3,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_480114]) ).
tcf(c_511663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X3,crossbar(X0,X1,X2,X4,X5,X3))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X3,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_55]) ).
tcf(c_511664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X6,X7,crossbar(X1,X2,X3,X4,X5,X6))
| ( crossbar(X6,crossbar(X1,X2,X3,X4,X5,X6),X7,X0,crossbar(X1,X2,X3,X4,X5,X6),X8) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X6,X8,X0)
| ~ s_t(X6,X7,X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480706,c_480316]) ).
tcf(c_511665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,X5,crossbar(X0,X1,X2,X4,X7,X3))
| ( crossbar(X3,crossbar(X0,X1,X2,X4,X7,X3),X5,X6,X8,X5) = X5 )
| ~ s_t(X6,X8,X5)
| ~ s_t(X4,X7,X2)
| ~ s_t(X3,X5,X6)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_480254]) ).
tcf(c_511666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X5,crossbar(X0,X1,X2,X4,X6,X3))
| ( crossbar(X0,X1,X2,X4,X6,X3) = X3 )
| ( ext(X3,crossbar(X0,X1,X2,X4,X6,X3),crossbar(X0,X1,X2,X4,X6,X3),X5) = X5 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_480013]) ).
tcf(c_511667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X5,crossbar(X0,X1,X2,X4,X6,X3))
| ( crossbar(X0,X1,X2,X4,X6,X3) = X3 )
| ( ext(X3,crossbar(X0,X1,X2,X4,X6,X3),X5,crossbar(X0,X1,X2,X4,X6,X3)) = X5 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_480011]) ).
tcf(c_511668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X5,crossbar(X0,X1,X2,X4,X6,X3))
| ( ip(X3,crossbar(X0,X1,X2,X4,X6,X3),X5,X7,X3) = X3 )
| ~ s_t(X7,X3,X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_479924]) ).
tcf(c_511669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,X7,crossbar(X0,X1,X2,X3,X4,X5))
| ( ip(X5,crossbar(X0,X1,X2,X3,X4,X5),X7,crossbar(X0,X1,X2,X3,X4,X5),X6) = crossbar(X0,X1,X2,X3,X4,X5) )
| ~ s_t(X5,X7,X2)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480706,c_479914]) ).
tcf(c_511670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X5,X3,crossbar(X0,X1,X2,X4,X6,X3))
| s_t(X3,X5,crossbar(X0,X1,X2,X4,X6,X3))
| ( X3 = X5 )
| ( crossbar(X0,X1,X2,X4,X6,X3) = X3 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_238]) ).
tcf(c_511671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(crossbar(X0,X1,X2,X4,X6,X3),X3,X5)
| s_t(X3,X5,crossbar(X0,X1,X2,X4,X6,X3))
| ( X3 = xb )
| ( crossbar(X0,X1,X2,X4,X6,X3) = X3 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_237]) ).
tcf(c_511672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(crossbar(X0,X1,X2,X4,X6,X3),X5,X3)
| s_t(X3,X5,crossbar(X0,X1,X2,X4,X6,X3))
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_225]) ).
tcf(c_511673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X3,crossbar(X0,X1,X2,X4,X6,X3))
| s_t(X3,X5,crossbar(X0,X1,X2,X4,X6,X3))
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_224]) ).
tcf(c_511674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X3,crossbar(X0,X1,X2,X4,X6,X3),X5)
| s_t(X3,X5,crossbar(X0,X1,X2,X4,X6,X3))
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_223]) ).
tcf(c_511675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X7,crossbar(X2,X3,X4,X5,X6,X0))
| ( crossbar(X2,X3,X4,X5,X6,X0) = X1 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X0,X5)
| ~ s_t(X0,X7,X4)
| ~ s_r(X7,X1,crossbar(X2,X3,X4,X5,X6,X0))
| ~ s_r(X0,X1,crossbar(X2,X3,X4,X5,X6,X0)) ),
inference(superposition,[status(thm)],[c_480706,c_184]) ).
tcf(c_511676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,X0,X7)
| s_t(X0,X6,X7)
| s_t(X6,X7,crossbar(X1,X2,X3,X4,X5,X6))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X7 )
| ~ s_t(X6,X7,X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480706,c_147]) ).
tcf(c_511677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,crossbar(X1,X2,X3,X4,X5,X6),X6)
| s_t(X6,X7,crossbar(X1,X2,X3,X4,X5,X6))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X7 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ~ s_t(X6,X7,X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480706,c_145]) ).
tcf(c_511678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7)
| sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X6)
| s_t(X6,X7,crossbar(X1,X2,X3,X4,X5,X6))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X7 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X6,X7,X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_col(X0,crossbar(X1,X2,X3,X4,X5,X6),X6) ),
inference(superposition,[status(thm)],[c_480706,c_143]) ).
tcf(c_511679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X6,crossbar(X1,X2,X3,X4,X5,X0))
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,X6,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_480706,c_133]) ).
tcf(c_511680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X6,crossbar(X1,X2,X3,X4,X5,X6),X0)
| s_t(X6,X7,crossbar(X1,X2,X3,X4,X5,X6))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X7 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X6,X7,X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480706,c_131]) ).
tcf(c_511681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,crossbar(X1,X2,X3,X4,X5,X0),X7)
| s_t(X0,X7,crossbar(X1,X2,X3,X4,X5,X0))
| ( crossbar(X1,X2,X3,X4,X5,X0) = X7 )
| ( crossbar(X1,X2,X3,X4,X5,X0) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,X7,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_480706,c_125]) ).
tcf(c_511682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X6,crossbar(X0,X1,X2,X4,X7,X3))
| s_t(X3,X5,crossbar(X0,X1,X2,X4,X7,X3))
| s_t(X3,crossbar(X0,X1,X2,X4,X7,X3),X6)
| ~ s_t(X4,X7,X2)
| ~ s_t(X3,X6,X5)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_109]) ).
tcf(c_511683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X7,crossbar(X1,X2,X3,X4,X5,X0))
| s_t(crossbar(X1,X2,X3,X4,X5,X0),X7,X6)
| s_t(crossbar(X1,X2,X3,X4,X5,X0),X6,X7)
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,X7,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_480706,c_108]) ).
tcf(c_511684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X7,X6)
| s_t(X0,X6,X7)
| s_t(X0,X7,crossbar(X1,X2,X3,X4,X5,X0))
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,X7,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_480706,c_107]) ).
tcf(c_511685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,X6,crossbar(X0,X1,X2,X3,X4,X5))
| s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),X7)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X5,X6,X2)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480706,c_81]) ).
tcf(c_511686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X5,crossbar(X0,X1,X2,X4,X7,X3))
| s_t(X3,crossbar(X0,X1,X2,X4,X7,X3),X6)
| ~ s_t(X4,X7,X2)
| ~ s_t(X3,X5,X6)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_80]) ).
tcf(c_511687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,X6,X7)
| s_t(X5,X7,crossbar(X0,X1,X2,X3,X4,X5))
| ~ s_t(X5,X7,X2)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480706,c_79]) ).
tcf(c_511688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,X6,X7)
| s_t(X5,X6,crossbar(X0,X1,X2,X3,X4,X5))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X5,X6,X2)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480706,c_78]) ).
tcf(c_511689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X5,crossbar(X0,X1,X2,X4,X7,X3))
| s_t(crossbar(X0,X1,X2,X4,X7,X3),X5,X6)
| ~ s_t(X4,X7,X2)
| ~ s_t(X3,X5,X6)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_77]) ).
tcf(c_511690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,X7,crossbar(X0,X1,X2,X3,X4,X5))
| s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),X6)
| ~ s_t(X5,X7,X2)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480706,c_76]) ).
tcf(c_511691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,X6,crossbar(X0,X1,X2,X3,X4,X5))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X5 )
| ~ s_t(X5,X6,X2)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X5,X6) ),
inference(superposition,[status(thm)],[c_480706,c_75]) ).
tcf(c_511692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,crossbar(X0,X1,X2,X4,X6,X3),X3)
| s_t(X3,X5,crossbar(X0,X1,X2,X4,X6,X3))
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_73]) ).
tcf(c_511693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,ext(crossbar(X1,X2,X3,X4,X5,X0),X0,X6,X7),crossbar(X1,X2,X3,X4,X5,X0))
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,ext(crossbar(X1,X2,X3,X4,X5,X0),X0,X6,X7),X3) ),
inference(superposition,[status(thm)],[c_480706,c_480090]) ).
tcf(c_511694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,ext(X1,X0,X2,X3),crossbar(X5,X6,X4,X7,X8,X0))
| s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,crossbar(X5,X6,X4,X7,X8,X0)),X3)
| ~ s_t(X7,X8,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X5,X0,X7)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480706,c_480407]) ).
tcf(c_511695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,crossbar(X5,X6,X4,X7,X8,X0),ext(X1,X0,X2,X3))
| s_t(X0,ext(X1,X0,X2,X3),crossbar(X5,X6,X4,X7,X8,X0))
| ~ s_t(X7,X8,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X5,X0,X7)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480706,c_480181]) ).
tcf(c_511696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,X0,crossbar(X5,X6,X4,X7,X8,X0))
| s_t(X0,ext(X1,X0,X2,X3),crossbar(X5,X6,X4,X7,X8,X0))
| ~ s_t(X7,X8,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X5,X0,X7)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480706,c_480111]) ).
tcf(c_511697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,X1,crossbar(X5,X6,X4,X7,X8,X0))
| s_t(X0,crossbar(X5,X6,X4,X7,X8,X0),X1)
| s_t(X0,ext(X0,X1,X2,X3),crossbar(X5,X6,X4,X7,X8,X0))
| ~ s_t(X7,X8,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X5,X0,X7)
| ~ s_t(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480706,c_480701]) ).
tcf(c_511698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,crossbar(X6,X8,X5,X7,X9,ip(X0,X1,X2,X3,X4)),X3)
| s_t(ip(X0,X1,X2,X3,X4),X3,crossbar(X6,X8,X5,X7,X9,ip(X0,X1,X2,X3,X4)))
| ~ s_t(X7,X9,X5)
| ~ s_t(X6,X8,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_480706,c_480182]) ).
tcf(c_511699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),crossbar(X6,X8,X5,X7,X9,ip(X0,X1,X2,X3,X4)))
| s_t(ip(X0,X1,X2,X3,X4),X3,crossbar(X6,X8,X5,X7,X9,ip(X0,X1,X2,X3,X4)))
| ~ s_t(X7,X9,X5)
| ~ s_t(X6,X8,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_480706,c_480112]) ).
tcf(c_511700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X4,crossbar(X6,X8,X5,X7,X9,ip(X0,X1,X2,X3,X4)),X0)
| s_t(ip(X0,X1,X2,X3,X4),X0,crossbar(X6,X8,X5,X7,X9,ip(X0,X1,X2,X3,X4)))
| ~ s_t(X7,X9,X5)
| ~ s_t(X6,X8,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480706,c_480183]) ).
tcf(c_511701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),crossbar(X6,X8,X5,X7,X9,ip(X0,X1,X2,X3,X4)))
| s_t(ip(X0,X1,X2,X3,X4),X0,crossbar(X6,X8,X5,X7,X9,ip(X0,X1,X2,X3,X4)))
| ~ s_t(X7,X9,X5)
| ~ s_t(X6,X8,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480706,c_480113]) ).
tcf(c_511702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,ext(X1,crossbar(X2,X3,X4,X5,X6,X0),X7,X8),crossbar(X2,X3,X4,X5,X6,X0))
| ( crossbar(X2,X3,X4,X5,X6,X0) = X0 )
| ( ext(X0,crossbar(X2,X3,X4,X5,X6,X0),X7,X8) = ext(X1,crossbar(X2,X3,X4,X5,X6,X0),X7,X8) )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X0,X5)
| ~ s_t(X0,ext(X1,crossbar(X2,X3,X4,X5,X6,X0),X7,X8),X4) ),
inference(superposition,[status(thm)],[c_480706,c_480012]) ).
tcf(c_511703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X5,crossbar(X0,X1,X2,X4,X6,X3))
| s_t(crossbar(X0,X1,X2,X4,X6,X3),X5,X2)
| s_t(crossbar(X0,X1,X2,X4,X6,X3),X2,X5)
| ( crossbar(X0,X1,X2,X4,X6,X3) = X3 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_480651]) ).
tcf(c_511705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),crossbar(X7,X9,X6,X8,X10,crossbar(X0,X1,X2,X3,X4,X5)))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,crossbar(X7,X9,X6,X8,X10,crossbar(X0,X1,X2,X3,X4,X5)))
| ~ s_t(X8,X10,X6)
| ~ s_t(X7,X9,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_480706,c_480260]) ).
tcf(c_511706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X5,crossbar(X7,X9,X6,X8,X10,crossbar(X0,X1,X2,X3,X4,X5)),X2)
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,crossbar(X7,X9,X6,X8,X10,crossbar(X0,X1,X2,X3,X4,X5)))
| ~ s_t(X8,X10,X6)
| ~ s_t(X7,X9,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_480706,c_480257]) ).
tcf(c_511707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X4,crossbar(X0,X1,X2,X3,X5,X1))
| s_t(crossbar(X0,X1,X2,X3,X5,X1),X5,X4)
| s_t(crossbar(X0,X1,X2,X3,X5,X1),X4,X5)
| ( crossbar(X0,X1,X2,X3,X5,X1) = X1 )
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X4,X2)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_480652]) ).
tcf(c_511708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,X4)
| s_t(X1,X4,X5)
| s_t(X1,X4,crossbar(X0,X1,X2,X3,X5,X1))
| ( crossbar(X0,X1,X2,X3,X5,X1) = X1 )
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X4,X2)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_480605]) ).
tcf(c_511709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),crossbar(X7,X9,X6,X8,X10,crossbar(X0,X1,X2,X3,X4,X5)))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,crossbar(X7,X9,X6,X8,X10,crossbar(X0,X1,X2,X3,X4,X5)))
| ~ s_t(X8,X10,X6)
| ~ s_t(X7,X9,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_480706,c_480322]) ).
tcf(c_511710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X1,crossbar(X7,X9,X6,X8,X10,crossbar(X0,X1,X2,X3,X4,X5)),X4)
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,crossbar(X7,X9,X6,X8,X10,crossbar(X0,X1,X2,X3,X4,X5)))
| ~ s_t(X8,X10,X6)
| ~ s_t(X7,X9,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_480706,c_480319]) ).
tcf(c_511711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),crossbar(X1,X2,X3,X4,X5,X0))
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),X3) ),
inference(equality_factoring,[status(thm)],[c_480706]) ).
tcf(c_512740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,crossbar(X2,X3,X4,X5,X6,X7),X1)
| ( crossbar(X3,X1,crossbar(X2,X3,X4,X5,X6,X7),X0,X1,X8) = X1 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X8,X0)
| ~ s_t(X3,X1,X6)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480707,c_480316]) ).
tcf(c_512741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),X8)
| ( crossbar(X0,X8,crossbar(X1,X0,X2,X3,X4,X5),X6,X7,crossbar(X1,X0,X2,X3,X4,X5)) = crossbar(X1,X0,X2,X3,X4,X5) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X8,X4)
| ~ s_t(X6,X7,crossbar(X1,X0,X2,X3,X4,X5))
| ~ s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480707,c_480254]) ).
tcf(c_512742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ( X1 = X5 )
| ( ext(X1,X5,X5,crossbar(X0,X1,X2,X4,X6,X3)) = crossbar(X0,X1,X2,X4,X6,X3) )
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_480013]) ).
tcf(c_512743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ( X1 = X5 )
| ( ext(X1,X5,crossbar(X0,X1,X2,X4,X6,X3),X5) = crossbar(X0,X1,X2,X4,X6,X3) )
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_480011]) ).
tcf(c_512744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,crossbar(X2,X1,X3,X4,X5,X6),X7)
| ( ip(X1,X7,crossbar(X2,X1,X3,X4,X5,X6),X0,X1) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X1,X3)
| ~ s_t(X1,X7,X5)
| ~ s_t(X0,X1,crossbar(X2,X1,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480707,c_479924]) ).
tcf(c_512745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,crossbar(X2,X3,X4,X5,X6,X7),X0)
| ( ip(X3,X0,crossbar(X2,X3,X4,X5,X6,X7),X0,X1) = X0 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X0,X6)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480707,c_479914]) ).
tcf(c_512746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(crossbar(X0,X1,X2,X4,X6,X3),X1,X5)
| s_t(X1,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ( X1 = X5 )
| ( crossbar(X0,X1,X2,X4,X6,X3) = X1 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_238]) ).
tcf(c_512747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X5,X1,crossbar(X0,X1,X2,X4,X6,X3))
| s_t(X1,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ( X1 = xb )
| ( X1 = X5 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_237]) ).
tcf(c_512748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,crossbar(X0,X1,X2,X4,X6,X3),X1)
| s_t(X1,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_225]) ).
tcf(c_512749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(crossbar(X0,X1,X2,X4,X6,X3),X1,X5)
| s_t(X1,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_224]) ).
tcf(c_512750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X1,X5,crossbar(X0,X1,X2,X4,X6,X3))
| s_t(X1,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_223]) ).
tcf(c_512751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),X7)
| ( X6 = X7 )
| ~ s_r(X1,X6,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X7,X4)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_r(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480707,c_184]) ).
tcf(c_512752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X0,crossbar(X2,X3,X4,X5,X6,X7))
| s_t(X3,crossbar(X2,X3,X4,X5,X6,X7),X1)
| s_t(X0,X3,crossbar(X2,X3,X4,X5,X6,X7))
| ( crossbar(X2,X3,X4,X5,X6,X7) = X1 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X1,X6)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480707,c_147]) ).
tcf(c_512753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X3)
| s_t(X3,crossbar(X2,X3,X4,X5,X6,X7),X1)
| ( X1 = X3 )
| ( crossbar(X2,X3,X4,X5,X6,X7) = X1 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X1,X6)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ sameside(X0,X1,crossbar(X2,X3,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480707,c_145]) ).
tcf(c_512754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X7,X5,X1)
| sameside(X7,X5,crossbar(X0,X1,X2,X4,X6,X3))
| s_t(X1,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ( X5 = X7 )
| ( X1 = X5 )
| ( crossbar(X0,X1,X2,X4,X6,X3) = X5 )
| ~ s_col(X7,X5,X1)
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_143]) ).
tcf(c_512755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,crossbar(X2,X0,X3,X4,X5,X6),X1)
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,X5)
| ~ sameside(X0,X1,crossbar(X2,X0,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480707,c_133]) ).
tcf(c_512756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X3,X1,X0)
| s_t(X3,crossbar(X2,X3,X4,X5,X6,X7),X1)
| ( X1 = X3 )
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,X6,X7) = X1 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X1,X6)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480707,c_131]) ).
tcf(c_512757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,X5,crossbar(X0,X1,X2,X4,X6,X3))
| s_t(X1,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ( X5 = X7 )
| ( X1 = X5 )
| ( crossbar(X0,X1,X2,X4,X6,X3) = X5 )
| ~ sameside(X1,X5,X7)
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_125]) ).
tcf(c_512758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X7,X1)
| s_t(X0,X1,X7)
| s_t(X0,crossbar(X2,X0,X3,X4,X5,X6),X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X7,X5)
| ~ s_t(X0,X1,crossbar(X2,X0,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480707,c_109]) ).
tcf(c_512759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,X7,crossbar(X0,X1,X2,X4,X6,X3))
| s_t(X5,crossbar(X0,X1,X2,X4,X6,X3),X7)
| s_t(X1,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ( X1 = X5 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X7)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_108]) ).
tcf(c_512760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X7,crossbar(X0,X1,X2,X4,X6,X3))
| s_t(X1,crossbar(X0,X1,X2,X4,X6,X3),X7)
| s_t(X1,crossbar(X0,X1,X2,X4,X6,X3),X5)
| ( X1 = X5 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X7)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_107]) ).
tcf(c_512761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X0,X7)
| s_t(X2,crossbar(X1,X2,X3,X4,X5,X6),X0)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X5)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480707,c_81]) ).
tcf(c_512762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X7,X6)
| s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X7,X4)
| ~ s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480707,c_80]) ).
tcf(c_512763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X1,crossbar(X2,X3,X4,X5,X6,X7))
| s_t(X3,crossbar(X2,X3,X4,X5,X6,X7),X0)
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X0,X6)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480707,c_79]) ).
tcf(c_512764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,crossbar(X1,X2,X3,X4,X5,X6),X7)
| s_t(X2,crossbar(X1,X2,X3,X4,X5,X6),X0)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X5)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480707,c_78]) ).
tcf(c_512765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,crossbar(X1,X0,X2,X3,X4,X5),X6)
| s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X7,X4)
| ~ s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480707,c_77]) ).
tcf(c_512766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X0,X1)
| s_t(X3,crossbar(X2,X3,X4,X5,X6,X7),X0)
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X0,X6)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480707,c_76]) ).
tcf(c_512767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,crossbar(X2,X1,X3,X4,X5,X6),X0)
| ( X0 = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X1,X3)
| ~ s_t(X1,X0,X5)
| ~ s_t(X0,X1,crossbar(X2,X1,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480707,c_75]) ).
tcf(c_512768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X6,X3),X5)
| s_t(crossbar(X0,X1,X2,X4,X6,X3),X5,X1)
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_73]) ).
tcf(c_512769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,X1,crossbar(X5,X0,X6,X8,X4,X7))
| s_t(X0,crossbar(X5,X0,X6,X8,X4,X7),ext(X0,X1,X2,X3))
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ s_t(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480707,c_480204]) ).
tcf(c_512770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ext(X0,X1,X2,X3),crossbar(X5,X0,X6,X8,X4,X7))
| s_t(X0,crossbar(X5,X0,X6,X8,X4,X7),ext(X0,X1,X2,X3))
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ s_t(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480707,c_480134]) ).
tcf(c_512771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,X0,crossbar(X5,X0,X6,X8,X4,X7))
| s_t(X0,crossbar(X5,X0,X6,X8,X4,X7),ext(X1,X0,X2,X3))
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480707,c_480227]) ).
tcf(c_512772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ext(X1,X0,X2,X3),crossbar(X5,X0,X6,X8,X4,X7))
| s_t(X0,crossbar(X5,X0,X6,X8,X4,X7),ext(X1,X0,X2,X3))
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480707,c_480157]) ).
tcf(c_512773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),crossbar(X6,ip(X0,X1,X2,X3,X4),X7,X9,X5,X8))
| s_t(ip(X0,X1,X2,X3,X4),crossbar(X6,ip(X0,X1,X2,X3,X4),X7,X9,X5,X8),X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X9,X5,X7)
| ~ s_t(X6,X8,X9)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_480707,c_480228]) ).
tcf(c_512774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,X3,crossbar(X6,ip(X0,X1,X2,X3,X4),X7,X9,X5,X8))
| s_t(ip(X0,X1,X2,X3,X4),crossbar(X6,ip(X0,X1,X2,X3,X4),X7,X9,X5,X8),X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X9,X5,X7)
| ~ s_t(X6,X8,X9)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_480707,c_480158]) ).
tcf(c_512775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),crossbar(X6,ip(X0,X1,X2,X3,X4),X7,X9,X5,X8))
| s_t(ip(X0,X1,X2,X3,X4),crossbar(X6,ip(X0,X1,X2,X3,X4),X7,X9,X5,X8),X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X9,X5,X7)
| ~ s_t(X6,X8,X9)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480707,c_480229]) ).
tcf(c_512776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X4,X0,crossbar(X6,ip(X0,X1,X2,X3,X4),X7,X9,X5,X8))
| s_t(ip(X0,X1,X2,X3,X4),crossbar(X6,ip(X0,X1,X2,X3,X4),X7,X9,X5,X8),X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X9,X5,X7)
| ~ s_t(X6,X8,X9)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480707,c_480159]) ).
tcf(c_512777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X0,crossbar(X6,X0,X7,X9,X5,X8),ip(X1,X0,X2,X3,X4))
| s_t(ip(X1,X0,X2,X3,X4),X3,crossbar(X6,X0,X7,X9,X5,X8))
| s_t(ip(X1,X0,X2,X3,X4),crossbar(X6,X0,X7,X9,X5,X8),X3)
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X9,X5,X7)
| ~ s_t(X6,X8,X9)
| ~ s_t(X6,X0,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480707,c_480647]) ).
tcf(c_512778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X0,X3,crossbar(X6,X0,X7,X9,X5,X8))
| s_t(X0,crossbar(X6,X0,X7,X9,X5,X8),X3)
| s_t(X0,crossbar(X6,X0,X7,X9,X5,X8),ip(X1,X0,X2,X3,X4))
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X9,X5,X7)
| ~ s_t(X6,X8,X9)
| ~ s_t(X6,X0,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480707,c_480600]) ).
tcf(c_512779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X0,crossbar(X6,X0,X7,X9,X5,X8),ip(X1,X2,X3,X4,X0))
| s_t(ip(X1,X2,X3,X4,X0),X1,crossbar(X6,X0,X7,X9,X5,X8))
| s_t(ip(X1,X2,X3,X4,X0),crossbar(X6,X0,X7,X9,X5,X8),X1)
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X9,X5,X7)
| ~ s_t(X6,X8,X9)
| ~ s_t(X6,X0,X7)
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_480707,c_480648]) ).
tcf(c_512780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X0,X1,crossbar(X6,X0,X7,X9,X5,X8))
| s_t(X0,crossbar(X6,X0,X7,X9,X5,X8),X1)
| s_t(X0,crossbar(X6,X0,X7,X9,X5,X8),ip(X1,X2,X3,X4,X0))
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X9,X5,X7)
| ~ s_t(X6,X8,X9)
| ~ s_t(X6,X0,X7)
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_480707,c_480601]) ).
tcf(c_512781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X0,crossbar(X7,X0,X8,X10,X6,X9),crossbar(X1,X2,X3,X4,X5,X0))
| s_t(crossbar(X1,X2,X3,X4,X5,X0),X3,crossbar(X7,X0,X8,X10,X6,X9))
| s_t(crossbar(X1,X2,X3,X4,X5,X0),crossbar(X7,X0,X8,X10,X6,X9),X3)
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X10,X6,X8)
| ~ s_t(X7,X9,X10)
| ~ s_t(X7,X0,X8)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_480707,c_480651]) ).
tcf(c_512782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X0,X3,crossbar(X7,X0,X8,X10,X6,X9))
| s_t(X0,crossbar(X7,X0,X8,X10,X6,X9),X3)
| s_t(X0,crossbar(X7,X0,X8,X10,X6,X9),crossbar(X1,X2,X3,X4,X5,X0))
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X10,X6,X8)
| ~ s_t(X7,X9,X10)
| ~ s_t(X7,X0,X8)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_480707,c_480604]) ).
tcf(c_512783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X5,X2,crossbar(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X10,X6,X9))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),crossbar(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X10,X6,X9),X2)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X10,X6,X8)
| ~ s_t(X7,X9,X10)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_480707,c_480258]) ).
tcf(c_512784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),crossbar(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X10,X6,X9))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),crossbar(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X10,X6,X9),X2)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X10,X6,X8)
| ~ s_t(X7,X9,X10)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_480707,c_480255]) ).
tcf(c_512785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X0,crossbar(X7,X0,X8,X10,X6,X9),crossbar(X1,X0,X2,X3,X4,X5))
| s_t(crossbar(X1,X0,X2,X3,X4,X5),X4,crossbar(X7,X0,X8,X10,X6,X9))
| s_t(crossbar(X1,X0,X2,X3,X4,X5),crossbar(X7,X0,X8,X10,X6,X9),X4)
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X10,X6,X8)
| ~ s_t(X7,X9,X10)
| ~ s_t(X7,X0,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480707,c_480652]) ).
tcf(c_512786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X0,X4,crossbar(X7,X0,X8,X10,X6,X9))
| s_t(X0,crossbar(X7,X0,X8,X10,X6,X9),X4)
| s_t(X0,crossbar(X7,X0,X8,X10,X6,X9),crossbar(X1,X0,X2,X3,X4,X5))
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X10,X6,X8)
| ~ s_t(X7,X9,X10)
| ~ s_t(X7,X0,X8)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480707,c_480605]) ).
tcf(c_512787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X1,X4,crossbar(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X10,X6,X9))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),crossbar(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X10,X6,X9),X4)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X10,X6,X8)
| ~ s_t(X7,X9,X10)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_480707,c_480320]) ).
tcf(c_512788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),crossbar(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X10,X6,X9))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),crossbar(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X10,X6,X9),X4)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X10,X6,X8)
| ~ s_t(X7,X9,X10)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_480707,c_480317]) ).
tcf(c_512789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X1,crossbar(X0,X1,X2,X4,X5,X3))
| s_e(X6,X6,crossbar(X0,X1,X2,X4,X5,X3),X1)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X1,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_507196]) ).
tcf(c_512790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X1,crossbar(X0,X1,X2,X4,X5,X3))
| s_e(X6,X6,X1,crossbar(X0,X1,X2,X4,X5,X3))
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X1,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_507140]) ).
tcf(c_512791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X1,crossbar(X0,X1,X2,X4,X5,X3))
| s_t(X6,ext(ext(X6,X6,alpha,gamma),X6,X1,crossbar(X0,X1,X2,X4,X5,X3)),X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X1,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_480409]) ).
tcf(c_512792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X1,crossbar(X0,X1,X2,X4,X5,X3))
| le(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,X6)
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X1,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_480892]) ).
tcf(c_512793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_m(X1,crossbar(X0,X1,X2,X4,X5,X3),X1)
| s_t(X1,X1,crossbar(X0,X1,X2,X4,X5,X3))
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X1,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_486468]) ).
tcf(c_512794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,crossbar(X0,X1,X2,X4,X5,X3),X1)
| s_t(X1,X1,crossbar(X0,X1,X2,X4,X5,X3))
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X1,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_480184]) ).
tcf(c_512795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X1,crossbar(X0,X1,X2,X4,X5,X3))
| s_t(X1,X1,crossbar(X0,X1,X2,X4,X5,X3))
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X1,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_480114]) ).
tcf(c_512796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X1,crossbar(X0,X1,X2,X4,X5,X3))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X1,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_55]) ).
tcf(c_512797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,X7,crossbar(X1,X2,X3,X4,X5,X6))
| ( crossbar(X2,crossbar(X1,X2,X3,X4,X5,X6),X7,X0,crossbar(X1,X2,X3,X4,X5,X6),X8) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X8,X0)
| ~ s_t(X2,X7,X5)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480707,c_480316]) ).
tcf(c_512798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,X5,crossbar(X0,X1,X2,X4,X6,X3))
| ( crossbar(X1,crossbar(X0,X1,X2,X4,X6,X3),X5,X7,X8,X5) = X5 )
| ~ s_t(X7,X8,X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X7)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_480254]) ).
tcf(c_512799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X5,crossbar(X0,X1,X2,X4,X6,X3))
| ( crossbar(X0,X1,X2,X4,X6,X3) = X1 )
| ( ext(X1,crossbar(X0,X1,X2,X4,X6,X3),crossbar(X0,X1,X2,X4,X6,X3),X5) = X5 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_480013]) ).
tcf(c_512800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X5,crossbar(X0,X1,X2,X4,X6,X3))
| ( crossbar(X0,X1,X2,X4,X6,X3) = X1 )
| ( ext(X1,crossbar(X0,X1,X2,X4,X6,X3),X5,crossbar(X0,X1,X2,X4,X6,X3)) = X5 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_480011]) ).
tcf(c_512801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X5,crossbar(X0,X1,X2,X4,X6,X3))
| ( ip(X1,crossbar(X0,X1,X2,X4,X6,X3),X5,X7,X1) = X1 )
| ~ s_t(X7,X1,X5)
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_479924]) ).
tcf(c_512802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X7,crossbar(X0,X1,X2,X3,X4,X5))
| ( ip(X1,crossbar(X0,X1,X2,X3,X4,X5),X7,crossbar(X0,X1,X2,X3,X4,X5),X6) = crossbar(X0,X1,X2,X3,X4,X5) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X7,X4)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480707,c_479914]) ).
tcf(c_512803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X5,X1,crossbar(X0,X1,X2,X4,X6,X3))
| s_t(X1,X5,crossbar(X0,X1,X2,X4,X6,X3))
| ( X1 = X5 )
| ( crossbar(X0,X1,X2,X4,X6,X3) = X1 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_238]) ).
tcf(c_512804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(crossbar(X0,X1,X2,X4,X6,X3),X1,X5)
| s_t(X1,X5,crossbar(X0,X1,X2,X4,X6,X3))
| ( X1 = xb )
| ( crossbar(X0,X1,X2,X4,X6,X3) = X1 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_237]) ).
tcf(c_512805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(crossbar(X0,X1,X2,X4,X6,X3),X5,X1)
| s_t(X1,X5,crossbar(X0,X1,X2,X4,X6,X3))
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_225]) ).
tcf(c_512806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X1,crossbar(X0,X1,X2,X4,X6,X3))
| s_t(X1,X5,crossbar(X0,X1,X2,X4,X6,X3))
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_224]) ).
tcf(c_512807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X1,crossbar(X0,X1,X2,X4,X6,X3),X5)
| s_t(X1,X5,crossbar(X0,X1,X2,X4,X6,X3))
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_223]) ).
tcf(c_512808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X7,crossbar(X2,X0,X3,X4,X5,X6))
| ( crossbar(X2,X0,X3,X4,X5,X6) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X7,X5)
| ~ s_r(X7,X1,crossbar(X2,X0,X3,X4,X5,X6))
| ~ s_r(X0,X1,crossbar(X2,X0,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480707,c_184]) ).
tcf(c_512809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X0,X7)
| s_t(X0,X2,X7)
| s_t(X2,X7,crossbar(X1,X2,X3,X4,X5,X6))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X7 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X7,X5)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480707,c_147]) ).
tcf(c_512810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,crossbar(X1,X2,X3,X4,X5,X6),X2)
| s_t(X2,X7,crossbar(X1,X2,X3,X4,X5,X6))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X7 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X7,X5)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480707,c_145]) ).
tcf(c_512811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7)
| sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X2)
| s_t(X2,X7,crossbar(X1,X2,X3,X4,X5,X6))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X7 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X7,X5)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_col(X0,crossbar(X1,X2,X3,X4,X5,X6),X2) ),
inference(superposition,[status(thm)],[c_480707,c_143]) ).
tcf(c_512812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X6,crossbar(X1,X0,X2,X3,X4,X5))
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X6,X4)
| ~ sameside(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480707,c_133]) ).
tcf(c_512813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X2,crossbar(X1,X2,X3,X4,X5,X6),X0)
| s_t(X2,X7,crossbar(X1,X2,X3,X4,X5,X6))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X7 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X7,X5)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_480707,c_131]) ).
tcf(c_512814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,crossbar(X1,X0,X2,X3,X4,X5),X7)
| s_t(X0,X7,crossbar(X1,X0,X2,X3,X4,X5))
| ( crossbar(X1,X0,X2,X3,X4,X5) = X7 )
| ( crossbar(X1,X0,X2,X3,X4,X5) = X6 )
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X7,X4)
| ~ sameside(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480707,c_125]) ).
tcf(c_512815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X7,crossbar(X0,X1,X2,X4,X6,X3))
| s_t(X1,X5,crossbar(X0,X1,X2,X4,X6,X3))
| s_t(X1,crossbar(X0,X1,X2,X4,X6,X3),X7)
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X7,X5)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_109]) ).
tcf(c_512816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X7,crossbar(X1,X0,X2,X3,X4,X5))
| s_t(crossbar(X1,X0,X2,X3,X4,X5),X7,X6)
| s_t(crossbar(X1,X0,X2,X3,X4,X5),X6,X7)
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X7,X4)
| ~ s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480707,c_108]) ).
tcf(c_512817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X7,X6)
| s_t(X0,X6,X7)
| s_t(X0,X7,crossbar(X1,X0,X2,X3,X4,X5))
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X7,X4)
| ~ s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_480707,c_107]) ).
tcf(c_512818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X6,crossbar(X0,X1,X2,X3,X4,X5))
| s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),X7)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X6,X4)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480707,c_81]) ).
tcf(c_512819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X5,crossbar(X0,X1,X2,X4,X6,X3))
| s_t(X1,crossbar(X0,X1,X2,X4,X6,X3),X7)
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X7)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_80]) ).
tcf(c_512820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X6,X7)
| s_t(X1,X7,crossbar(X0,X1,X2,X3,X4,X5))
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X7,X4)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480707,c_79]) ).
tcf(c_512821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X6,X7)
| s_t(X1,X6,crossbar(X0,X1,X2,X3,X4,X5))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X6,X4)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480707,c_78]) ).
tcf(c_512822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X5,crossbar(X0,X1,X2,X4,X6,X3))
| s_t(crossbar(X0,X1,X2,X4,X6,X3),X5,X7)
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X7)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_77]) ).
tcf(c_512823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X7,crossbar(X0,X1,X2,X3,X4,X5))
| s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X7,X4)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480707,c_76]) ).
tcf(c_512824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X6,crossbar(X0,X1,X2,X3,X4,X5))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X6,X4)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X1,X6) ),
inference(superposition,[status(thm)],[c_480707,c_75]) ).
tcf(c_512825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,crossbar(X0,X1,X2,X4,X6,X3),X1)
| s_t(X1,X5,crossbar(X0,X1,X2,X4,X6,X3))
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_73]) ).
tcf(c_512826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,ext(crossbar(X1,X0,X2,X3,X4,X5),X0,X6,X7),crossbar(X1,X0,X2,X3,X4,X5))
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,ext(crossbar(X1,X0,X2,X3,X4,X5),X0,X6,X7),X4) ),
inference(superposition,[status(thm)],[c_480707,c_480090]) ).
tcf(c_512827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,ext(X1,X0,X2,X3),crossbar(X5,X0,X6,X8,X4,X7))
| s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,crossbar(X5,X0,X6,X8,X4,X7)),X3)
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480707,c_480407]) ).
tcf(c_512828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,crossbar(X5,X0,X6,X8,X4,X7),ext(X1,X0,X2,X3))
| s_t(X0,ext(X1,X0,X2,X3),crossbar(X5,X0,X6,X8,X4,X7))
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480707,c_480181]) ).
tcf(c_512829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,X0,crossbar(X5,X0,X6,X8,X4,X7))
| s_t(X0,ext(X1,X0,X2,X3),crossbar(X5,X0,X6,X8,X4,X7))
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480707,c_480111]) ).
tcf(c_512830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,X1,crossbar(X5,X0,X6,X8,X4,X7))
| s_t(X0,crossbar(X5,X0,X6,X8,X4,X7),X1)
| s_t(X0,ext(X0,X1,X2,X3),crossbar(X5,X0,X6,X8,X4,X7))
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ s_t(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480707,c_480701]) ).
tcf(c_512831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,crossbar(X6,ip(X0,X1,X2,X3,X4),X7,X9,X5,X8),X3)
| s_t(ip(X0,X1,X2,X3,X4),X3,crossbar(X6,ip(X0,X1,X2,X3,X4),X7,X9,X5,X8))
| ~ s_t(X9,X5,X7)
| ~ s_t(X6,X8,X9)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_480707,c_480182]) ).
tcf(c_512832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),crossbar(X6,ip(X0,X1,X2,X3,X4),X7,X9,X5,X8))
| s_t(ip(X0,X1,X2,X3,X4),X3,crossbar(X6,ip(X0,X1,X2,X3,X4),X7,X9,X5,X8))
| ~ s_t(X9,X5,X7)
| ~ s_t(X6,X8,X9)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_480707,c_480112]) ).
tcf(c_512833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X4,crossbar(X6,ip(X0,X1,X2,X3,X4),X7,X9,X5,X8),X0)
| s_t(ip(X0,X1,X2,X3,X4),X0,crossbar(X6,ip(X0,X1,X2,X3,X4),X7,X9,X5,X8))
| ~ s_t(X9,X5,X7)
| ~ s_t(X6,X8,X9)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480707,c_480183]) ).
tcf(c_512834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),crossbar(X6,ip(X0,X1,X2,X3,X4),X7,X9,X5,X8))
| s_t(ip(X0,X1,X2,X3,X4),X0,crossbar(X6,ip(X0,X1,X2,X3,X4),X7,X9,X5,X8))
| ~ s_t(X9,X5,X7)
| ~ s_t(X6,X8,X9)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X6,ip(X0,X1,X2,X3,X4),X7)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480707,c_480113]) ).
tcf(c_512835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,ext(X1,crossbar(X2,X0,X3,X4,X5,X6),X7,X8),crossbar(X2,X0,X3,X4,X5,X6))
| ( crossbar(X2,X0,X3,X4,X5,X6) = X0 )
| ( ext(X0,crossbar(X2,X0,X3,X4,X5,X6),X7,X8) = ext(X1,crossbar(X2,X0,X3,X4,X5,X6),X7,X8) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,ext(X1,crossbar(X2,X0,X3,X4,X5,X6),X7,X8),X5) ),
inference(superposition,[status(thm)],[c_480707,c_480012]) ).
tcf(c_512836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X4,crossbar(X0,X1,X2,X3,X5,X1))
| s_t(crossbar(X0,X1,X2,X3,X5,X1),X4,X2)
| s_t(crossbar(X0,X1,X2,X3,X5,X1),X2,X4)
| ( crossbar(X0,X1,X2,X3,X5,X1) = X1 )
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X4,X5)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_480651]) ).
tcf(c_512837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X4,X2)
| s_t(X1,X2,X4)
| s_t(X1,X4,crossbar(X0,X1,X2,X3,X5,X1))
| ( crossbar(X0,X1,X2,X3,X5,X1) = X1 )
| ~ s_t(X3,X5,X2)
| ~ s_t(X1,X4,X5)
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_480604]) ).
tcf(c_512838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),crossbar(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X10,X6,X9))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,crossbar(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X10,X6,X9))
| ~ s_t(X10,X6,X8)
| ~ s_t(X7,X9,X10)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_480707,c_480260]) ).
tcf(c_512839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X5,crossbar(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X10,X6,X9),X2)
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,crossbar(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X10,X6,X9))
| ~ s_t(X10,X6,X8)
| ~ s_t(X7,X9,X10)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_480707,c_480257]) ).
tcf(c_512840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X5,crossbar(X0,X1,X2,X4,X6,X3))
| s_t(crossbar(X0,X1,X2,X4,X6,X3),X6,X5)
| s_t(crossbar(X0,X1,X2,X4,X6,X3),X5,X6)
| ( crossbar(X0,X1,X2,X4,X6,X3) = X1 )
| ~ s_t(X4,X6,X2)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_480652]) ).
tcf(c_512842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),crossbar(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X10,X6,X9))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,crossbar(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X10,X6,X9))
| ~ s_t(X10,X6,X8)
| ~ s_t(X7,X9,X10)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_480707,c_480322]) ).
tcf(c_512843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X1,crossbar(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X10,X6,X9),X4)
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,crossbar(X7,crossbar(X0,X1,X2,X3,X4,X5),X8,X10,X6,X9))
| ~ s_t(X10,X6,X8)
| ~ s_t(X7,X9,X10)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,crossbar(X0,X1,X2,X3,X4,X5),X8)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_480707,c_480319]) ).
tcf(c_512844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),crossbar(X1,X0,X2,X3,X4,X5))
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),X4) ),
inference(equality_factoring,[status(thm)],[c_480707]) ).
tcf(c_514020,plain,
! [X0: $i,X1: $i] : s_t(X0,isomidpoint(X0,s(X1,X0),X1),s(X1,X0)),
inference(superposition,[status(thm)],[c_483685,c_239]) ).
tcf(c_514021,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( isomidpoint(X0,s(X2,X0),X2) = X1 )
| ~ s_m(X0,X1,s(X2,X0)) ),
inference(superposition,[status(thm)],[c_483685,c_171]) ).
tcf(c_514022,plain,
! [X0: $i,X1: $i] : s(isomidpoint(X0,s(X1,X0),X1),X0) = s(X1,X0),
inference(superposition,[status(thm)],[c_483685,c_160]) ).
tcf(c_514023,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X1,X0) = X2 )
| ~ s_m(X0,isomidpoint(X0,s(X1,X0),X1),X2) ),
inference(superposition,[status(thm)],[c_483685,c_159]) ).
tcf(c_514024,plain,
! [X0: $i,X1: $i] : s_m(s(X0,X1),isomidpoint(X1,s(X0,X1),X0),X1),
inference(superposition,[status(thm)],[c_483685,c_155]) ).
tcf(c_514025,plain,
! [X0: $i,X1: $i] : isomidpoint(X0,s(X1,X0),X1) = X1,
inference(superposition,[status(thm)],[c_483685,c_483155]) ).
tcf(c_514040,plain,
! [X0: $i,X1: $i] : isomidpoint(s(X0,X1),X1,X0) = X0,
inference(superposition,[status(thm)],[c_161,c_514025]) ).
tcf(c_514041,plain,
! [X0: $i] : isomidpoint(X0,X0,X0) = X0,
inference(superposition,[status(thm)],[c_165,c_514025]) ).
tcf(c_514043,plain,
! [X0: $i,X1: $i] :
( s_m(X1,X0,s(X0,X1))
| ~ s_m(s(X0,X1),X0,X1) ),
inference(superposition,[status(thm)],[c_514025,c_15943]) ).
tcf(c_514052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X3,ip(X6,X2,X5,ins(X0,X1,X2,X3),X4))
| s_t(X2,ip(X6,X2,X5,ins(X0,X1,X2,X3),X4),X3)
| ~ s_t(X6,X2,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_56,c_480737]) ).
tcf(c_514053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X3,ip(ins(X0,X1,X2,X3),X4,X5,X6,X2))
| s_t(X2,ip(ins(X0,X1,X2,X3),X4,X5,X6,X2),X3)
| ~ s_t(X6,X2,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_57,c_480737]) ).
tcf(c_514054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,ins(X2,X3,X0,X1))
| s_t(X0,ins(X2,X3,X0,X1),X1)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_72,c_480737]) ).
tcf(c_514056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,X5,crossbar(X0,X1,ins(X2,X3,X4,X5),X6,X7,X4))
| s_t(X4,crossbar(X0,X1,ins(X2,X3,X4,X5),X6,X7,X4),X5)
| ~ s_t(X0,X4,X6)
| ~ le(X4,X5,X2,X3)
| ~ s_t(X6,X7,ins(X2,X3,X4,X5))
| ~ s_t(X0,X1,ins(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_87,c_480737]) ).
tcf(c_514057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X4,crossbar(X6,X3,X5,X0,ins(X1,X2,X3,X4),X7))
| s_t(X3,crossbar(X6,X3,X5,X0,ins(X1,X2,X3,X4),X7),X4)
| ~ s_t(X6,X7,X0)
| ~ s_t(X6,X3,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_88,c_480737]) ).
tcf(c_514059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X5,ext(ext(ins(X3,X4,X2,X5),X2,alpha,gamma),X2,X0,X1))
| s_t(X2,ext(ext(ins(X3,X4,X2,X5),X2,alpha,gamma),X2,X0,X1),X5)
| ~ le(X2,X5,X3,X4)
| ~ le(X0,X1,X2,ins(X3,X4,X2,X5)) ),
inference(superposition,[status(thm)],[c_231,c_480737]) ).
tcf(c_514060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X3,ip(X5,X0,X6,X4,X7))
| s_t(X0,ip(X5,X0,X6,X4,X7),X3)
| s_t(X0,ins(X1,X2,X0,X3),ip(X5,X0,X6,X4,X7))
| ~ s_t(X5,X0,X6)
| ~ s_t(X4,X7,X6)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480702,c_480737]) ).
tcf(c_514061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X4,ip(X5,X0,X6,X1,X7))
| s_t(X0,ip(X5,X0,X6,X1,X7),X4)
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X7,X6)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480205,c_480737]) ).
tcf(c_514062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ip(X4,X0,X5,X1,X6),X7,X1)
| s_t(ip(X4,X0,X5,X1,X6),X1,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X1,X6,X5)
| ~ le(ip(X4,X0,X5,X1,X6),X7,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ip(X4,X0,X5,X1,X6),X7)) ),
inference(superposition,[status(thm)],[c_480135,c_480737]) ).
tcf(c_514063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X4,ip(X0,ins(X1,X2,X3,X4),X5,X3,X6))
| s_t(X3,ip(X0,ins(X1,X2,X3,X4),X5,X3,X6),X4)
| ~ s_t(X3,X6,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480074,c_480737]) ).
tcf(c_514064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X3,ip(X4,X5,X6,X7,X0))
| s_t(X0,ip(X4,X5,X6,X7,X0),X3)
| s_t(X0,ins(X1,X2,X0,X3),ip(X4,X5,X6,X7,X0))
| ~ s_t(X7,X0,X6)
| ~ s_t(X4,X5,X6)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480703,c_480737]) ).
tcf(c_514065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X4,ip(X1,X5,X6,X7,X0))
| s_t(X0,ip(X1,X5,X6,X7,X0),X4)
| ~ s_t(X7,X0,X6)
| ~ s_t(X1,X5,X6)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480206,c_480737]) ).
tcf(c_514066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ip(X1,X4,X5,X6,X0),X7,X1)
| s_t(ip(X1,X4,X5,X6,X0),X1,X7)
| ~ s_t(X6,X0,X5)
| ~ s_t(X1,X4,X5)
| ~ le(ip(X1,X4,X5,X6,X0),X7,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ip(X1,X4,X5,X6,X0),X7)) ),
inference(superposition,[status(thm)],[c_480136,c_480737]) ).
tcf(c_514067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X4,ip(X3,X6,X5,X0,ins(X1,X2,X3,X4)))
| s_t(X3,ip(X3,X6,X5,X0,ins(X1,X2,X3,X4)),X4)
| ~ s_t(X3,X6,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480075,c_480737]) ).
tcf(c_514068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X4,ext(X0,X1,X5,X6))
| s_t(X0,ext(X0,X1,X5,X6),X4)
| s_t(X0,ins(X2,X3,X0,X4),ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480599,c_480737]) ).
tcf(c_514069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X4,ext(X0,X1,X5,X6))
| s_t(X1,ext(X0,X1,X5,X6),X4)
| s_t(X1,ins(X2,X3,X1,X4),ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480646,c_480737]) ).
tcf(c_514070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X3,ext(ext(ins(X0,X1,X2,X3),X2,alpha,gamma),X2,ins(X0,X1,X2,X3),X4))
| s_t(X2,ext(ext(ins(X0,X1,X2,X3),X2,alpha,gamma),X2,ins(X0,X1,X2,X3),X4),X3)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X2) ),
inference(superposition,[status(thm)],[c_480406,c_480737]) ).
tcf(c_514071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,ext(ext(ins(X2,X3,X0,X4),X0,alpha,gamma),X0,X0,X1))
| s_t(X0,ext(ext(ins(X2,X3,X0,X4),X0,alpha,gamma),X0,X0,X1),X4)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480408,c_480737]) ).
tcf(c_514072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,X3,crossbar(X5,X6,X4,X7,X8,X0))
| s_t(X0,crossbar(X5,X6,X4,X7,X8,X0),X3)
| s_t(X0,ins(X1,X2,X0,X3),crossbar(X5,X6,X4,X7,X8,X0))
| ~ s_t(X7,X8,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X5,X0,X7)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480706,c_480737]) ).
tcf(c_514073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,X4,crossbar(X5,X6,X1,X7,X8,X0))
| s_t(X0,crossbar(X5,X6,X1,X7,X8,X0),X4)
| ~ s_t(X7,X8,X1)
| ~ s_t(X5,X6,X1)
| ~ s_t(X5,X0,X7)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480256,c_480737]) ).
tcf(c_514074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(crossbar(X4,X5,X1,X6,X7,X0),X8,X1)
| s_t(crossbar(X4,X5,X1,X6,X7,X0),X1,X8)
| ~ s_t(X6,X7,X1)
| ~ s_t(X4,X5,X1)
| ~ s_t(X4,X0,X6)
| ~ le(crossbar(X4,X5,X1,X6,X7,X0),X8,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,crossbar(X4,X5,X1,X6,X7,X0),X8)) ),
inference(superposition,[status(thm)],[c_480259,c_480737]) ).
tcf(c_514075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X4,crossbar(X0,X6,X3,X5,X7,ins(X1,X2,X3,X4)))
| s_t(X3,crossbar(X0,X6,X3,X5,X7,ins(X1,X2,X3,X4)),X4)
| ~ s_t(X5,X7,X3)
| ~ s_t(X0,X6,X3)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480262,c_480737]) ).
tcf(c_514076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,X4,crossbar(X5,X0,X6,X8,X1,X7))
| s_t(X0,crossbar(X5,X0,X6,X8,X1,X7),X4)
| ~ s_t(X8,X1,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480318,c_480737]) ).
tcf(c_514077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(crossbar(X4,X0,X5,X6,X1,X7),X8,X1)
| s_t(crossbar(X4,X0,X5,X6,X1,X7),X1,X8)
| ~ s_t(X6,X1,X5)
| ~ s_t(X4,X7,X6)
| ~ s_t(X4,X0,X5)
| ~ le(crossbar(X4,X0,X5,X6,X1,X7),X8,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,crossbar(X4,X0,X5,X6,X1,X7),X8)) ),
inference(superposition,[status(thm)],[c_480321,c_480737]) ).
tcf(c_514078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,X3,crossbar(X5,X0,X6,X8,X4,X7))
| s_t(X0,crossbar(X5,X0,X6,X8,X4,X7),X3)
| s_t(X0,ins(X1,X2,X0,X3),crossbar(X5,X0,X6,X8,X4,X7))
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480707,c_480737]) ).
tcf(c_514079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X4,crossbar(X0,ins(X1,X2,X3,X4),X5,X7,X3,X6))
| s_t(X3,crossbar(X0,ins(X1,X2,X3,X4),X5,X7,X3,X6),X4)
| ~ s_t(X7,X3,X5)
| ~ s_t(X0,X6,X7)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480324,c_480737]) ).
tcf(c_514421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,ins(X2,X3,X4,X5),X1)
| ( X4 = X5 )
| ( crossbar(X5,X1,ins(X2,X3,X4,X5),X0,X1,X6) = X1 )
| ~ s_t(X5,X6,X0)
| ~ s_t(X4,X5,X1)
| ~ le(X4,X5,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480738,c_480316]) ).
tcf(c_514422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ins(X1,X2,X3,X0),X6)
| ( X0 = X3 )
| ( crossbar(X0,X6,ins(X1,X2,X3,X0),X4,X5,ins(X1,X2,X3,X0)) = ins(X1,X2,X3,X0) )
| ~ s_t(X3,X0,X6)
| ~ le(X3,X0,X1,X2)
| ~ s_t(X4,X5,ins(X1,X2,X3,X0))
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_480738,c_480254]) ).
tcf(c_514423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ins(X2,X3,X0,X1),X4)
| ( X1 = X4 )
| ( X0 = X1 )
| ( ext(X1,X4,X4,ins(X2,X3,X0,X1)) = ins(X2,X3,X0,X1) )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_480013]) ).
tcf(c_514424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ins(X2,X3,X0,X1),X4)
| ( X1 = X4 )
| ( X0 = X1 )
| ( ext(X1,X4,ins(X2,X3,X0,X1),X4) = ins(X2,X3,X0,X1) )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_480011]) ).
tcf(c_514425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ins(X2,X3,X4,X1),X5)
| ( X1 = X4 )
| ( ip(X1,X5,ins(X2,X3,X4,X1),X0,X1) = X1 )
| ~ s_t(X4,X1,X5)
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_480738,c_479924]) ).
tcf(c_514426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ins(X2,X3,X4,X5),X0)
| ( X4 = X5 )
| ( ip(X5,X0,ins(X2,X3,X4,X5),X0,X1) = X0 )
| ~ s_t(X4,X5,X0)
| ~ le(X4,X5,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480738,c_479914]) ).
tcf(c_514427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(ins(X2,X3,X0,X1),X1,X4)
| s_t(X1,ins(X2,X3,X0,X1),X4)
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_238]) ).
tcf(c_514428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,X1,ins(X2,X3,X0,X1))
| s_t(X1,ins(X2,X3,X0,X1),X4)
| ( X1 = xb )
| ( X1 = X4 )
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_237]) ).
tcf(c_514429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X4,ins(X2,X3,X0,X1),X1)
| s_t(X1,ins(X2,X3,X0,X1),X4)
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_225]) ).
tcf(c_514430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ins(X2,X3,X0,X1),X1,X4)
| s_t(X1,ins(X2,X3,X0,X1),X4)
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_224]) ).
tcf(c_514431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X4,ins(X2,X3,X0,X1))
| s_t(X1,ins(X2,X3,X0,X1),X4)
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_223]) ).
tcf(c_514432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ins(X0,X1,X2,X3),X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ~ s_r(X3,X4,X5)
| ~ s_t(X2,X3,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_r(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480738,c_184]) ).
tcf(c_514433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,ins(X2,X3,X4,X5))
| s_t(X5,ins(X2,X3,X4,X5),X1)
| s_t(X0,X5,ins(X2,X3,X4,X5))
| ( X4 = X5 )
| ( ins(X2,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X1)
| ~ le(X4,X5,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480738,c_147]) ).
tcf(c_514434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| s_t(X5,ins(X2,X3,X4,X5),X1)
| ( X4 = X5 )
| ( X1 = X5 )
| ( ins(X2,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X1)
| ~ le(X4,X5,X2,X3)
| ~ sameside(X0,X1,ins(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480738,c_145]) ).
tcf(c_514435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X5,X4,X1)
| sameside(X5,X4,ins(X2,X3,X0,X1))
| s_t(X1,ins(X2,X3,X0,X1),X4)
| ( X4 = X5 )
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X4 )
| ~ s_col(X5,X4,X1)
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_143]) ).
tcf(c_514436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ins(X2,X3,X4,X0),X1)
| ( X0 = X4 )
| ~ s_t(X4,X0,X1)
| ~ le(X4,X0,X2,X3)
| ~ sameside(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480738,c_133]) ).
tcf(c_514437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X5,X1,X0)
| s_t(X5,ins(X2,X3,X4,X5),X1)
| ( X4 = X5 )
| ( X1 = X5 )
| ( X0 = X1 )
| ( ins(X2,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X1)
| ~ le(X4,X5,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480738,c_131]) ).
tcf(c_514438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X4,ins(X2,X3,X0,X1))
| s_t(X1,ins(X2,X3,X0,X1),X4)
| ( X4 = X5 )
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X4 )
| ~ sameside(X1,X4,X5)
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_125]) ).
tcf(c_514439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,X1)
| s_t(X0,X1,X5)
| s_t(X0,ins(X2,X3,X4,X0),X5)
| ( X0 = X4 )
| ~ s_t(X4,X0,X5)
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480738,c_109]) ).
tcf(c_514440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X5,ins(X2,X3,X0,X1))
| s_t(X4,ins(X2,X3,X0,X1),X5)
| s_t(X1,ins(X2,X3,X0,X1),X4)
| ( X1 = X4 )
| ( X0 = X1 )
| ~ s_t(X1,X4,X5)
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_108]) ).
tcf(c_514441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,ins(X2,X3,X0,X1))
| s_t(X1,ins(X2,X3,X0,X1),X5)
| s_t(X1,ins(X2,X3,X0,X1),X4)
| ( X1 = X4 )
| ( X0 = X1 )
| ~ s_t(X1,X4,X5)
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_107]) ).
tcf(c_514442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X0,X5)
| s_t(X4,ins(X1,X2,X3,X4),X0)
| ( X3 = X4 )
| ( ins(X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X0)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480738,c_81]) ).
tcf(c_514443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,X4)
| s_t(X0,ins(X1,X2,X3,X0),X5)
| ( X0 = X3 )
| ~ s_t(X3,X0,X5)
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_480738,c_80]) ).
tcf(c_514444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X1,ins(X2,X3,X4,X5))
| s_t(X5,ins(X2,X3,X4,X5),X0)
| ( X4 = X5 )
| ~ s_t(X4,X5,X0)
| ~ le(X4,X5,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480738,c_79]) ).
tcf(c_514445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ins(X1,X2,X3,X4),X5)
| s_t(X4,ins(X1,X2,X3,X4),X0)
| ( X3 = X4 )
| ( ins(X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X0)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480738,c_78]) ).
tcf(c_514446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ins(X1,X2,X3,X0),X4)
| s_t(X0,ins(X1,X2,X3,X0),X5)
| ( X0 = X3 )
| ~ s_t(X3,X0,X5)
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_480738,c_77]) ).
tcf(c_514447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,X1)
| s_t(X5,ins(X2,X3,X4,X5),X0)
| ( X4 = X5 )
| ~ s_t(X4,X5,X0)
| ~ le(X4,X5,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480738,c_76]) ).
tcf(c_514448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ins(X2,X3,X4,X1),X0)
| ( X1 = X4 )
| ( X0 = X1 )
| ~ s_t(X4,X1,X0)
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_480738,c_75]) ).
tcf(c_514449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ins(X2,X3,X0,X1),X4)
| s_t(ins(X2,X3,X0,X1),X4,X1)
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_73]) ).
tcf(c_514450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X2,ins(X5,X6,X0,X1))
| s_t(X1,ins(X5,X6,X0,X1),ext(X1,X2,X3,X4))
| ( X0 = X1 )
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480738,c_480204]) ).
tcf(c_514451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(X1,X2,X3,X4),ins(X5,X6,X0,X1))
| s_t(X1,ins(X5,X6,X0,X1),ext(X1,X2,X3,X4))
| ( X0 = X1 )
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480738,c_480134]) ).
tcf(c_514453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X1,ins(X5,X6,X0,X1))
| s_t(X1,ins(X5,X6,X0,X1),ext(X2,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480738,c_480227]) ).
tcf(c_514454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(X2,X1,X3,X4),ins(X5,X6,X0,X1))
| s_t(X1,ins(X5,X6,X0,X1),ext(X2,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480738,c_480157]) ).
tcf(c_514455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ip(X1,X2,X3,X4,X5),ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)))
| s_t(ip(X1,X2,X3,X4,X5),ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)),X4)
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4)
| ~ le(X0,ip(X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480738,c_480228]) ).
tcf(c_514456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X4,ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)))
| s_t(ip(X1,X2,X3,X4,X5),ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)),X4)
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4)
| ~ le(X0,ip(X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480738,c_480158]) ).
tcf(c_514457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X5),ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)))
| s_t(ip(X1,X2,X3,X4,X5),ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)),X1)
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1)
| ~ le(X0,ip(X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480738,c_480229]) ).
tcf(c_514458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,X1,ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)))
| s_t(ip(X1,X2,X3,X4,X5),ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)),X1)
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1)
| ~ le(X0,ip(X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480738,c_480159]) ).
tcf(c_514459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ins(X6,X7,X0,X1),ip(X2,X1,X3,X4,X5))
| s_t(ip(X2,X1,X3,X4,X5),X4,ins(X6,X7,X0,X1))
| s_t(ip(X2,X1,X3,X4,X5),ins(X6,X7,X0,X1),X4)
| ( X0 = X1 )
| ( ip(X2,X1,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X1,X3)
| ~ le(X0,X1,X6,X7)
| ~ s_t(X0,X1,ip(X2,X1,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480738,c_480647]) ).
tcf(c_514460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X4,ins(X6,X7,X0,X1))
| s_t(X1,ins(X6,X7,X0,X1),X4)
| s_t(X1,ins(X6,X7,X0,X1),ip(X2,X1,X3,X4,X5))
| ( X0 = X1 )
| ( ip(X2,X1,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X1,X3)
| ~ le(X0,X1,X6,X7)
| ~ s_t(X0,X1,ip(X2,X1,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480738,c_480600]) ).
tcf(c_514461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ins(X6,X7,X0,X1),ip(X2,X3,X4,X5,X1))
| s_t(ip(X2,X3,X4,X5,X1),X2,ins(X6,X7,X0,X1))
| s_t(ip(X2,X3,X4,X5,X1),ins(X6,X7,X0,X1),X2)
| ( X0 = X1 )
| ( ip(X2,X3,X4,X5,X1) = X1 )
| ~ s_t(X5,X1,X4)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,X6,X7)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X1)) ),
inference(superposition,[status(thm)],[c_480738,c_480648]) ).
tcf(c_514462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X2,ins(X6,X7,X0,X1))
| s_t(X1,ins(X6,X7,X0,X1),X2)
| s_t(X1,ins(X6,X7,X0,X1),ip(X2,X3,X4,X5,X1))
| ( X0 = X1 )
| ( ip(X2,X3,X4,X5,X1) = X1 )
| ~ s_t(X5,X1,X4)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,X6,X7)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X1)) ),
inference(superposition,[status(thm)],[c_480738,c_480601]) ).
tcf(c_514463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ins(X7,X8,X0,X1),crossbar(X2,X3,X4,X5,X6,X1))
| s_t(crossbar(X2,X3,X4,X5,X6,X1),X4,ins(X7,X8,X0,X1))
| s_t(crossbar(X2,X3,X4,X5,X6,X1),ins(X7,X8,X0,X1),X4)
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,X6,X1) = X1 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X1,X5)
| ~ le(X0,X1,X7,X8)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X1)) ),
inference(superposition,[status(thm)],[c_480738,c_480651]) ).
tcf(c_514464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,X4,ins(X7,X8,X0,X1))
| s_t(X1,ins(X7,X8,X0,X1),X4)
| s_t(X1,ins(X7,X8,X0,X1),crossbar(X2,X3,X4,X5,X6,X1))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,X6,X1) = X1 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X1,X5)
| ~ le(X0,X1,X7,X8)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X1)) ),
inference(superposition,[status(thm)],[c_480738,c_480604]) ).
tcf(c_514465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X6,X3,ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)),X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3)
| ~ le(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8) ),
inference(superposition,[status(thm)],[c_480738,c_480258]) ).
tcf(c_514466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X6,crossbar(X1,X2,X3,X4,X5,X6),ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)),X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3)
| ~ le(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8) ),
inference(superposition,[status(thm)],[c_480738,c_480255]) ).
tcf(c_514467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ins(X7,X8,X0,X1),crossbar(X2,X1,X3,X4,X5,X6))
| s_t(crossbar(X2,X1,X3,X4,X5,X6),X5,ins(X7,X8,X0,X1))
| s_t(crossbar(X2,X1,X3,X4,X5,X6),ins(X7,X8,X0,X1),X5)
| ( X0 = X1 )
| ( crossbar(X2,X1,X3,X4,X5,X6) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X1,X3)
| ~ le(X0,X1,X7,X8)
| ~ s_t(X0,X1,crossbar(X2,X1,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480738,c_480652]) ).
tcf(c_514468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,X5,ins(X7,X8,X0,X1))
| s_t(X1,ins(X7,X8,X0,X1),X5)
| s_t(X1,ins(X7,X8,X0,X1),crossbar(X2,X1,X3,X4,X5,X6))
| ( X0 = X1 )
| ( crossbar(X2,X1,X3,X4,X5,X6) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X1,X3)
| ~ le(X0,X1,X7,X8)
| ~ s_t(X0,X1,crossbar(X2,X1,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480738,c_480605]) ).
tcf(c_514469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,X5,ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)),X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5)
| ~ le(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8) ),
inference(superposition,[status(thm)],[c_480738,c_480320]) ).
tcf(c_514470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,crossbar(X1,X2,X3,X4,X5,X6),ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)),X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5)
| ~ le(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8) ),
inference(superposition,[status(thm)],[c_480738,c_480317]) ).
tcf(c_514471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X1,ins(X2,X3,X0,X1))
| s_e(X4,X4,ins(X2,X3,X0,X1),X1)
| ( X0 = X1 )
| ~ s_t(X0,X1,X1)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_507196]) ).
tcf(c_514472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X1,ins(X2,X3,X0,X1))
| s_e(X4,X4,X1,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ~ s_t(X0,X1,X1)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_507140]) ).
tcf(c_514473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X1,ins(X2,X3,X0,X1))
| s_t(X4,ext(ext(X4,X4,alpha,gamma),X4,X1,ins(X2,X3,X0,X1)),X4)
| ( X0 = X1 )
| ~ s_t(X0,X1,X1)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_480409]) ).
tcf(c_514474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X1,ins(X2,X3,X0,X1))
| le(X1,ins(X2,X3,X0,X1),X4,X4)
| ( X0 = X1 )
| ~ s_t(X0,X1,X1)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_480892]) ).
tcf(c_514475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(X1,ins(X2,X3,X0,X1),X1)
| s_t(X1,X1,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ~ s_t(X0,X1,X1)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_486468]) ).
tcf(c_514476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ins(X2,X3,X0,X1),X1)
| s_t(X1,X1,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ~ s_t(X0,X1,X1)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_480184]) ).
tcf(c_514477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,ins(X2,X3,X0,X1))
| s_t(X1,X1,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ~ s_t(X0,X1,X1)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_480114]) ).
tcf(c_514478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X1,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ s_t(X0,X1,X1)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_55]) ).
tcf(c_514479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X5,ins(X1,X2,X3,X4))
| ( X3 = X4 )
| ( crossbar(X4,ins(X1,X2,X3,X4),X5,X0,ins(X1,X2,X3,X4),X6) = ins(X1,X2,X3,X4) )
| ~ s_t(X4,X6,X0)
| ~ s_t(X3,X4,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480738,c_480316]) ).
tcf(c_514480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X4,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ( crossbar(X1,ins(X2,X3,X0,X1),X4,X5,X6,X4) = X4 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X1,X4,X5)
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_480254]) ).
tcf(c_514481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X4,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ( ext(X1,ins(X2,X3,X0,X1),ins(X2,X3,X0,X1),X4) = X4 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_480013]) ).
tcf(c_514482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X4,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ( ext(X1,ins(X2,X3,X0,X1),X4,ins(X2,X3,X0,X1)) = X4 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_480011]) ).
tcf(c_514483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X4,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ( ip(X1,ins(X2,X3,X0,X1),X4,X5,X1) = X1 )
| ~ s_t(X5,X1,X4)
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_479924]) ).
tcf(c_514484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X5,ins(X0,X1,X2,X3))
| ( X2 = X3 )
| ( ip(X3,ins(X0,X1,X2,X3),X5,ins(X0,X1,X2,X3),X4) = ins(X0,X1,X2,X3) )
| ~ s_t(X2,X3,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480738,c_479914]) ).
tcf(c_514485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,X1,ins(X2,X3,X0,X1))
| s_t(X1,X4,ins(X2,X3,X0,X1))
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_238]) ).
tcf(c_514486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(ins(X2,X3,X0,X1),X1,X4)
| s_t(X1,X4,ins(X2,X3,X0,X1))
| ( X1 = xb )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_237]) ).
tcf(c_514487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ins(X2,X3,X0,X1),X4,X1)
| s_t(X1,X4,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_225]) ).
tcf(c_514488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X4,X1,ins(X2,X3,X0,X1))
| s_t(X1,X4,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_224]) ).
tcf(c_514489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,ins(X2,X3,X0,X1),X4)
| s_t(X1,X4,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_223]) ).
tcf(c_514490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,ins(X2,X3,X4,X0))
| ( X0 = X4 )
| ( ins(X2,X3,X4,X0) = X1 )
| ~ s_t(X4,X0,X5)
| ~ le(X4,X0,X2,X3)
| ~ s_r(X5,X1,ins(X2,X3,X4,X0))
| ~ s_r(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480738,c_184]) ).
tcf(c_514491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X0,X5)
| s_t(X0,X4,X5)
| s_t(X4,X5,ins(X1,X2,X3,X4))
| ( X3 = X4 )
| ( ins(X1,X2,X3,X4) = X5 )
| ~ s_t(X3,X4,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480738,c_147]) ).
tcf(c_514492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,ins(X1,X2,X3,X4),X4)
| s_t(X4,X5,ins(X1,X2,X3,X4))
| ( X3 = X4 )
| ( ins(X1,X2,X3,X4) = X5 )
| ( ins(X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X5)
| ~ le(X3,X4,X1,X2)
| ~ sameside(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480738,c_145]) ).
tcf(c_514493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,ins(X1,X2,X3,X4),X5)
| sameside(X0,ins(X1,X2,X3,X4),X4)
| s_t(X4,X5,ins(X1,X2,X3,X4))
| ( X3 = X4 )
| ( ins(X1,X2,X3,X4) = X5 )
| ( ins(X1,X2,X3,X4) = X4 )
| ( ins(X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_col(X0,ins(X1,X2,X3,X4),X4) ),
inference(superposition,[status(thm)],[c_480738,c_143]) ).
tcf(c_514494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,ins(X1,X2,X3,X0))
| ( X0 = X3 )
| ~ s_t(X3,X0,X4)
| ~ le(X3,X0,X1,X2)
| ~ sameside(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_480738,c_133]) ).
tcf(c_514495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X4,ins(X1,X2,X3,X4),X0)
| s_t(X4,X5,ins(X1,X2,X3,X4))
| ( X3 = X4 )
| ( ins(X1,X2,X3,X4) = X5 )
| ( ins(X1,X2,X3,X4) = X4 )
| ( ins(X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480738,c_131]) ).
tcf(c_514496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ins(X1,X2,X3,X0),X5)
| s_t(X0,X5,ins(X1,X2,X3,X0))
| ( X0 = X3 )
| ( ins(X1,X2,X3,X0) = X5 )
| ( ins(X1,X2,X3,X0) = X4 )
| ( ins(X1,X2,X3,X0) = X0 )
| ~ s_t(X3,X0,X5)
| ~ le(X3,X0,X1,X2)
| ~ sameside(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_480738,c_125]) ).
tcf(c_514497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,ins(X2,X3,X0,X1))
| s_t(X1,X4,ins(X2,X3,X0,X1))
| s_t(X1,ins(X2,X3,X0,X1),X5)
| ( X0 = X1 )
| ~ s_t(X1,X5,X4)
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_109]) ).
tcf(c_514498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,ins(X1,X2,X3,X0))
| s_t(ins(X1,X2,X3,X0),X5,X4)
| s_t(ins(X1,X2,X3,X0),X4,X5)
| ( X0 = X3 )
| ( ins(X1,X2,X3,X0) = X0 )
| ~ s_t(X3,X0,X5)
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_480738,c_108]) ).
tcf(c_514499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,X4)
| s_t(X0,X4,X5)
| s_t(X0,X5,ins(X1,X2,X3,X0))
| ( X0 = X3 )
| ( ins(X1,X2,X3,X0) = X0 )
| ~ s_t(X3,X0,X5)
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_480738,c_107]) ).
tcf(c_514500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X4,ins(X0,X1,X2,X3))
| s_t(X3,ins(X0,X1,X2,X3),X5)
| ( X2 = X3 )
| ( ins(X0,X1,X2,X3) = X4 )
| ~ s_t(X2,X3,X4)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480738,c_81]) ).
tcf(c_514501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X4,ins(X2,X3,X0,X1))
| s_t(X1,ins(X2,X3,X0,X1),X5)
| ( X0 = X1 )
| ~ s_t(X1,X4,X5)
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_80]) ).
tcf(c_514502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X4,X5)
| s_t(X3,X5,ins(X0,X1,X2,X3))
| ( X2 = X3 )
| ~ s_t(X2,X3,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480738,c_79]) ).
tcf(c_514503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X4,X5)
| s_t(X3,X4,ins(X0,X1,X2,X3))
| ( X2 = X3 )
| ( ins(X0,X1,X2,X3) = X4 )
| ~ s_t(X2,X3,X4)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480738,c_78]) ).
tcf(c_514504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X4,ins(X2,X3,X0,X1))
| s_t(ins(X2,X3,X0,X1),X4,X5)
| ( X0 = X1 )
| ~ s_t(X1,X4,X5)
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_77]) ).
tcf(c_514505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X5,ins(X0,X1,X2,X3))
| s_t(X3,ins(X0,X1,X2,X3),X4)
| ( X2 = X3 )
| ~ s_t(X2,X3,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480738,c_76]) ).
tcf(c_514506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X4,ins(X0,X1,X2,X3))
| ( X2 = X3 )
| ( ins(X0,X1,X2,X3) = X3 )
| ~ s_t(X2,X3,X4)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X3,X4) ),
inference(superposition,[status(thm)],[c_480738,c_75]) ).
tcf(c_514507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ins(X2,X3,X0,X1),X1)
| s_t(X1,X4,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_73]) ).
tcf(c_514508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ext(ins(X2,X3,X0,X1),X1,X4,X5),ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3)
| ~ s_t(X0,X1,ext(ins(X2,X3,X0,X1),X1,X4,X5)) ),
inference(superposition,[status(thm)],[c_480738,c_480090]) ).
tcf(c_514509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ext(X2,X1,X3,X4),ins(X5,X6,X0,X1))
| s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X1,ins(X5,X6,X0,X1)),X4)
| ( X0 = X1 )
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480738,c_480407]) ).
tcf(c_514510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ins(X5,X6,X0,X1),ext(X2,X1,X3,X4))
| s_t(X1,ext(X2,X1,X3,X4),ins(X5,X6,X0,X1))
| ( X0 = X1 )
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480738,c_480181]) ).
tcf(c_514511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X1,ins(X5,X6,X0,X1))
| s_t(X1,ext(X2,X1,X3,X4),ins(X5,X6,X0,X1))
| ( X0 = X1 )
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480738,c_480111]) ).
tcf(c_514512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X4,ins(X5,X6,X0,X1))
| s_t(X1,ins(X5,X6,X0,X1),X4)
| s_t(X1,ins(X2,X3,X1,X4),ins(X5,X6,X0,X1))
| ( X0 = X1 )
| ~ le(X1,X4,X2,X3)
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480738,c_480737]) ).
tcf(c_514513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X2,ins(X5,X6,X0,X1))
| s_t(X1,ins(X5,X6,X0,X1),X2)
| s_t(X1,ext(X1,X2,X3,X4),ins(X5,X6,X0,X1))
| ( X0 = X1 )
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480738,c_480701]) ).
tcf(c_514514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)),X4)
| s_t(ip(X1,X2,X3,X4,X5),X4,ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)))
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4)
| ~ le(X0,ip(X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480738,c_480182]) ).
tcf(c_514515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ip(X1,X2,X3,X4,X5),ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)))
| s_t(ip(X1,X2,X3,X4,X5),X4,ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)))
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4)
| ~ le(X0,ip(X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480738,c_480112]) ).
tcf(c_514516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)),X1)
| s_t(ip(X1,X2,X3,X4,X5),X1,ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)))
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1)
| ~ le(X0,ip(X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480738,c_480183]) ).
tcf(c_514517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X5),ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)))
| s_t(ip(X1,X2,X3,X4,X5),X1,ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)))
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1)
| ~ le(X0,ip(X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480738,c_480113]) ).
tcf(c_514518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ext(X2,ins(X3,X4,X0,X1),X5,X6),ins(X3,X4,X0,X1))
| ( X0 = X1 )
| ( ins(X3,X4,X0,X1) = X1 )
| ( ext(X1,ins(X3,X4,X0,X1),X5,X6) = ext(X2,ins(X3,X4,X0,X1),X5,X6) )
| ~ le(X0,X1,X3,X4)
| ~ s_t(X0,X1,ext(X2,ins(X3,X4,X0,X1),X5,X6)) ),
inference(superposition,[status(thm)],[c_480738,c_480012]) ).
tcf(c_514519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X6,crossbar(X1,X2,X3,X4,X5,X6),ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),X3,ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3)
| ~ le(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8) ),
inference(superposition,[status(thm)],[c_480738,c_480260]) ).
tcf(c_514520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X6,ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)),X3)
| s_t(crossbar(X1,X2,X3,X4,X5,X6),X3,ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3)
| ~ le(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8) ),
inference(superposition,[status(thm)],[c_480738,c_480257]) ).
tcf(c_514521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,crossbar(X1,X2,X3,X4,X5,X6),ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),X5,ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5)
| ~ le(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8) ),
inference(superposition,[status(thm)],[c_480738,c_480322]) ).
tcf(c_514522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)),X5)
| s_t(crossbar(X1,X2,X3,X4,X5,X6),X5,ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5)
| ~ le(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8) ),
inference(superposition,[status(thm)],[c_480738,c_480319]) ).
tcf(c_514523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,ins(X2,X3,X0,X1),ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ~ le(X0,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X1)) ),
inference(equality_factoring,[status(thm)],[c_480738]) ).
tcf(c_515413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ins(X2,X3,X4,X5),X1)
| ( X4 = X5 )
| ( crossbar(X4,X1,ins(X2,X3,X4,X5),X0,X1,X6) = X1 )
| ~ s_t(X4,X6,X0)
| ~ s_t(X4,X5,X1)
| ~ le(X4,X5,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480739,c_480316]) ).
tcf(c_515414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ins(X1,X2,X0,X3),X6)
| ( X0 = X3 )
| ( crossbar(X0,X6,ins(X1,X2,X0,X3),X4,X5,ins(X1,X2,X0,X3)) = ins(X1,X2,X0,X3) )
| ~ s_t(X0,X3,X6)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X4,X5,ins(X1,X2,X0,X3))
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480739,c_480254]) ).
tcf(c_515415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ins(X2,X3,X0,X1),X4)
| ( X0 = X4 )
| ( X0 = X1 )
| ( ext(X0,X4,X4,ins(X2,X3,X0,X1)) = ins(X2,X3,X0,X1) )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_480013]) ).
tcf(c_515416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ins(X2,X3,X0,X1),X4)
| ( X0 = X4 )
| ( X0 = X1 )
| ( ext(X0,X4,ins(X2,X3,X0,X1),X4) = ins(X2,X3,X0,X1) )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_480011]) ).
tcf(c_515417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ins(X2,X3,X1,X4),X5)
| ( X1 = X4 )
| ( ip(X1,X5,ins(X2,X3,X1,X4),X0,X1) = X1 )
| ~ s_t(X1,X4,X5)
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480739,c_479924]) ).
tcf(c_515418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ins(X2,X3,X4,X5),X0)
| ( X4 = X5 )
| ( ip(X4,X0,ins(X2,X3,X4,X5),X0,X1) = X0 )
| ~ s_t(X4,X5,X0)
| ~ le(X4,X5,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480739,c_479914]) ).
tcf(c_515419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(ins(X2,X3,X0,X1),X0,X4)
| s_t(X0,ins(X2,X3,X0,X1),X4)
| ( X0 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X0 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_238]) ).
tcf(c_515420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,X0,ins(X2,X3,X0,X1))
| s_t(X0,ins(X2,X3,X0,X1),X4)
| ( X0 = xb )
| ( X0 = X4 )
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_237]) ).
tcf(c_515421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X4,ins(X2,X3,X0,X1),X0)
| s_t(X0,ins(X2,X3,X0,X1),X4)
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_225]) ).
tcf(c_515422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ins(X2,X3,X0,X1),X0,X4)
| s_t(X0,ins(X2,X3,X0,X1),X4)
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_224]) ).
tcf(c_515423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X4,ins(X2,X3,X0,X1))
| s_t(X0,ins(X2,X3,X0,X1),X4)
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_223]) ).
tcf(c_515424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ins(X0,X1,X2,X3),X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ~ s_r(X2,X4,X5)
| ~ s_t(X2,X3,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_r(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480739,c_184]) ).
tcf(c_515425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X0,ins(X2,X3,X4,X5))
| s_t(X4,ins(X2,X3,X4,X5),X1)
| s_t(X0,X4,ins(X2,X3,X4,X5))
| ( X4 = X5 )
| ( ins(X2,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X1)
| ~ le(X4,X5,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480739,c_147]) ).
tcf(c_515426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X4)
| s_t(X4,ins(X2,X3,X4,X5),X1)
| ( X4 = X5 )
| ( X1 = X4 )
| ( ins(X2,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X1)
| ~ le(X4,X5,X2,X3)
| ~ sameside(X0,X1,ins(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480739,c_145]) ).
tcf(c_515427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X5,X4,X0)
| sameside(X5,X4,ins(X2,X3,X0,X1))
| s_t(X0,ins(X2,X3,X0,X1),X4)
| ( X4 = X5 )
| ( X0 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X4 )
| ~ s_col(X5,X4,X0)
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_143]) ).
tcf(c_515428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ins(X2,X3,X0,X4),X1)
| ( X0 = X4 )
| ~ s_t(X0,X4,X1)
| ~ le(X0,X4,X2,X3)
| ~ sameside(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480739,c_133]) ).
tcf(c_515429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X4,X1,X0)
| s_t(X4,ins(X2,X3,X4,X5),X1)
| ( X4 = X5 )
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X1)
| ~ le(X4,X5,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480739,c_131]) ).
tcf(c_515430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X4,ins(X2,X3,X0,X1))
| s_t(X0,ins(X2,X3,X0,X1),X4)
| ( X4 = X5 )
| ( X0 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X4 )
| ~ sameside(X0,X4,X5)
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_125]) ).
tcf(c_515431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,X1)
| s_t(X0,X1,X5)
| s_t(X0,ins(X2,X3,X0,X4),X5)
| ( X0 = X4 )
| ~ s_t(X0,X4,X5)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480739,c_109]) ).
tcf(c_515432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X5,ins(X2,X3,X0,X1))
| s_t(X4,ins(X2,X3,X0,X1),X5)
| s_t(X0,ins(X2,X3,X0,X1),X4)
| ( X0 = X4 )
| ( X0 = X1 )
| ~ s_t(X0,X4,X5)
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_108]) ).
tcf(c_515433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,ins(X2,X3,X0,X1))
| s_t(X0,ins(X2,X3,X0,X1),X5)
| s_t(X0,ins(X2,X3,X0,X1),X4)
| ( X0 = X4 )
| ( X0 = X1 )
| ~ s_t(X0,X4,X5)
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_107]) ).
tcf(c_515434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X0,X5)
| s_t(X3,ins(X1,X2,X3,X4),X0)
| ( X3 = X4 )
| ( ins(X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X0)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480739,c_81]) ).
tcf(c_515435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,X4)
| s_t(X0,ins(X1,X2,X0,X3),X5)
| ( X0 = X3 )
| ~ s_t(X0,X3,X5)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480739,c_80]) ).
tcf(c_515436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X1,ins(X2,X3,X4,X5))
| s_t(X4,ins(X2,X3,X4,X5),X0)
| ( X4 = X5 )
| ~ s_t(X4,X5,X0)
| ~ le(X4,X5,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480739,c_79]) ).
tcf(c_515437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ins(X1,X2,X3,X4),X5)
| s_t(X3,ins(X1,X2,X3,X4),X0)
| ( X3 = X4 )
| ( ins(X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X0)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480739,c_78]) ).
tcf(c_515438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ins(X1,X2,X0,X3),X4)
| s_t(X0,ins(X1,X2,X0,X3),X5)
| ( X0 = X3 )
| ~ s_t(X0,X3,X5)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480739,c_77]) ).
tcf(c_515439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X0,X1)
| s_t(X4,ins(X2,X3,X4,X5),X0)
| ( X4 = X5 )
| ~ s_t(X4,X5,X0)
| ~ le(X4,X5,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480739,c_76]) ).
tcf(c_515440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ins(X2,X3,X1,X4),X0)
| ( X1 = X4 )
| ( X0 = X1 )
| ~ s_t(X1,X4,X0)
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480739,c_75]) ).
tcf(c_515441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ins(X2,X3,X0,X1),X4)
| s_t(ins(X2,X3,X0,X1),X4,X0)
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_73]) ).
tcf(c_515442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X2,ins(X5,X6,X0,X1))
| s_t(X0,ins(X5,X6,X0,X1),ext(X0,X2,X3,X4))
| ( X0 = X1 )
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ext(X0,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480739,c_480204]) ).
tcf(c_515443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(X0,X2,X3,X4),ins(X5,X6,X0,X1))
| s_t(X0,ins(X5,X6,X0,X1),ext(X0,X2,X3,X4))
| ( X0 = X1 )
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ext(X0,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480739,c_480134]) ).
tcf(c_515445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X0,ins(X5,X6,X0,X1))
| s_t(X0,ins(X5,X6,X0,X1),ext(X2,X0,X3,X4))
| ( X0 = X1 )
| ( ext(X2,X0,X3,X4) = X0 )
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480739,c_480227]) ).
tcf(c_515446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(X2,X0,X3,X4),ins(X5,X6,X0,X1))
| s_t(X0,ins(X5,X6,X0,X1),ext(X2,X0,X3,X4))
| ( X0 = X1 )
| ( ext(X2,X0,X3,X4) = X0 )
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480739,c_480157]) ).
tcf(c_515447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),ins(X6,X7,ip(X0,X1,X2,X3,X4),X5))
| s_t(ip(X0,X1,X2,X3,X4),ins(X6,X7,ip(X0,X1,X2,X3,X4),X5),X3)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3)
| ~ le(ip(X0,X1,X2,X3,X4),X5,X6,X7) ),
inference(superposition,[status(thm)],[c_480739,c_480228]) ).
tcf(c_515448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X3,ins(X6,X7,ip(X0,X1,X2,X3,X4),X5))
| s_t(ip(X0,X1,X2,X3,X4),ins(X6,X7,ip(X0,X1,X2,X3,X4),X5),X3)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3)
| ~ le(ip(X0,X1,X2,X3,X4),X5,X6,X7) ),
inference(superposition,[status(thm)],[c_480739,c_480158]) ).
tcf(c_515449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),ins(X6,X7,ip(X0,X1,X2,X3,X4),X5))
| s_t(ip(X0,X1,X2,X3,X4),ins(X6,X7,ip(X0,X1,X2,X3,X4),X5),X0)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0)
| ~ le(ip(X0,X1,X2,X3,X4),X5,X6,X7) ),
inference(superposition,[status(thm)],[c_480739,c_480229]) ).
tcf(c_515450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,X0,ins(X6,X7,ip(X0,X1,X2,X3,X4),X5))
| s_t(ip(X0,X1,X2,X3,X4),ins(X6,X7,ip(X0,X1,X2,X3,X4),X5),X0)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0)
| ~ le(ip(X0,X1,X2,X3,X4),X5,X6,X7) ),
inference(superposition,[status(thm)],[c_480739,c_480159]) ).
tcf(c_515451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,ins(X6,X7,X0,X1),ip(X2,X0,X3,X4,X5))
| s_t(ip(X2,X0,X3,X4,X5),X4,ins(X6,X7,X0,X1))
| s_t(ip(X2,X0,X3,X4,X5),ins(X6,X7,X0,X1),X4)
| ( X0 = X1 )
| ( ip(X2,X0,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X3)
| ~ le(X0,X1,X6,X7)
| ~ s_t(X0,X1,ip(X2,X0,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480739,c_480647]) ).
tcf(c_515452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X4,ins(X6,X7,X0,X1))
| s_t(X0,ins(X6,X7,X0,X1),X4)
| s_t(X0,ins(X6,X7,X0,X1),ip(X2,X0,X3,X4,X5))
| ( X0 = X1 )
| ( ip(X2,X0,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X3)
| ~ le(X0,X1,X6,X7)
| ~ s_t(X0,X1,ip(X2,X0,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480739,c_480600]) ).
tcf(c_515453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,ins(X6,X7,X0,X1),ip(X2,X3,X4,X5,X0))
| s_t(ip(X2,X3,X4,X5,X0),X2,ins(X6,X7,X0,X1))
| s_t(ip(X2,X3,X4,X5,X0),ins(X6,X7,X0,X1),X2)
| ( X0 = X1 )
| ( ip(X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,X6,X7)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_480739,c_480648]) ).
tcf(c_515454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X2,ins(X6,X7,X0,X1))
| s_t(X0,ins(X6,X7,X0,X1),X2)
| s_t(X0,ins(X6,X7,X0,X1),ip(X2,X3,X4,X5,X0))
| ( X0 = X1 )
| ( ip(X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,X6,X7)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_480739,c_480601]) ).
tcf(c_515455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,ins(X7,X8,X0,X1),crossbar(X2,X3,X4,X5,X6,X0))
| s_t(crossbar(X2,X3,X4,X5,X6,X0),X4,ins(X7,X8,X0,X1))
| s_t(crossbar(X2,X3,X4,X5,X6,X0),ins(X7,X8,X0,X1),X4)
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,X6,X0) = X0 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X0,X5)
| ~ le(X0,X1,X7,X8)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X0)) ),
inference(superposition,[status(thm)],[c_480739,c_480651]) ).
tcf(c_515456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,X4,ins(X7,X8,X0,X1))
| s_t(X0,ins(X7,X8,X0,X1),X4)
| s_t(X0,ins(X7,X8,X0,X1),crossbar(X2,X3,X4,X5,X6,X0))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,X6,X0) = X0 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X0,X5)
| ~ le(X0,X1,X7,X8)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X0)) ),
inference(superposition,[status(thm)],[c_480739,c_480604]) ).
tcf(c_515457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X5,X2,ins(X7,X8,crossbar(X0,X1,X2,X3,X4,X5),X6))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),ins(X7,X8,crossbar(X0,X1,X2,X3,X4,X5),X6),X2)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2)
| ~ le(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8) ),
inference(superposition,[status(thm)],[c_480739,c_480258]) ).
tcf(c_515458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),ins(X7,X8,crossbar(X0,X1,X2,X3,X4,X5),X6))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),ins(X7,X8,crossbar(X0,X1,X2,X3,X4,X5),X6),X2)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2)
| ~ le(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8) ),
inference(superposition,[status(thm)],[c_480739,c_480255]) ).
tcf(c_515459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,ins(X7,X8,X0,X1),crossbar(X2,X0,X3,X4,X5,X6))
| s_t(crossbar(X2,X0,X3,X4,X5,X6),X5,ins(X7,X8,X0,X1))
| s_t(crossbar(X2,X0,X3,X4,X5,X6),ins(X7,X8,X0,X1),X5)
| ( X0 = X1 )
| ( crossbar(X2,X0,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X0,X3)
| ~ le(X0,X1,X7,X8)
| ~ s_t(X0,X1,crossbar(X2,X0,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480739,c_480652]) ).
tcf(c_515460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,X5,ins(X7,X8,X0,X1))
| s_t(X0,ins(X7,X8,X0,X1),X5)
| s_t(X0,ins(X7,X8,X0,X1),crossbar(X2,X0,X3,X4,X5,X6))
| ( X0 = X1 )
| ( crossbar(X2,X0,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X0,X3)
| ~ le(X0,X1,X7,X8)
| ~ s_t(X0,X1,crossbar(X2,X0,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480739,c_480605]) ).
tcf(c_515461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,X4,ins(X7,X8,crossbar(X0,X1,X2,X3,X4,X5),X6))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),ins(X7,X8,crossbar(X0,X1,X2,X3,X4,X5),X6),X4)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4)
| ~ le(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8) ),
inference(superposition,[status(thm)],[c_480739,c_480320]) ).
tcf(c_515462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),ins(X7,X8,crossbar(X0,X1,X2,X3,X4,X5),X6))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),ins(X7,X8,crossbar(X0,X1,X2,X3,X4,X5),X6),X4)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4)
| ~ le(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8) ),
inference(superposition,[status(thm)],[c_480739,c_480317]) ).
tcf(c_515470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X0,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X0 )
| ~ s_t(X0,X1,X0)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_55]) ).
tcf(c_515471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X5,ins(X1,X2,X3,X4))
| ( X3 = X4 )
| ( crossbar(X3,ins(X1,X2,X3,X4),X5,X0,ins(X1,X2,X3,X4),X6) = ins(X1,X2,X3,X4) )
| ~ s_t(X3,X6,X0)
| ~ s_t(X3,X4,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480739,c_480316]) ).
tcf(c_515472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X4,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ( crossbar(X0,ins(X2,X3,X0,X1),X4,X5,X6,X4) = X4 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X0,X4,X5)
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_480254]) ).
tcf(c_515473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X0 )
| ( ext(X0,ins(X2,X3,X0,X1),ins(X2,X3,X0,X1),X4) = X4 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_480013]) ).
tcf(c_515474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X0 )
| ( ext(X0,ins(X2,X3,X0,X1),X4,ins(X2,X3,X0,X1)) = X4 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_480011]) ).
tcf(c_515475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X4,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ( ip(X0,ins(X2,X3,X0,X1),X4,X5,X0) = X0 )
| ~ s_t(X5,X0,X4)
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_479924]) ).
tcf(c_515476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X5,ins(X0,X1,X2,X3))
| ( X2 = X3 )
| ( ip(X2,ins(X0,X1,X2,X3),X5,ins(X0,X1,X2,X3),X4) = ins(X0,X1,X2,X3) )
| ~ s_t(X2,X3,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480739,c_479914]) ).
tcf(c_515477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,X0,ins(X2,X3,X0,X1))
| s_t(X0,X4,ins(X2,X3,X0,X1))
| ( X0 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X0 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_238]) ).
tcf(c_515478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(ins(X2,X3,X0,X1),X0,X4)
| s_t(X0,X4,ins(X2,X3,X0,X1))
| ( X0 = xb )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X0 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_237]) ).
tcf(c_515479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ins(X2,X3,X0,X1),X4,X0)
| s_t(X0,X4,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_225]) ).
tcf(c_515480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X4,X0,ins(X2,X3,X0,X1))
| s_t(X0,X4,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_224]) ).
tcf(c_515481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ins(X2,X3,X0,X1),X4)
| s_t(X0,X4,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_223]) ).
tcf(c_515482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,ins(X2,X3,X0,X4))
| ( X0 = X4 )
| ( ins(X2,X3,X0,X4) = X1 )
| ~ s_t(X0,X4,X5)
| ~ le(X0,X4,X2,X3)
| ~ s_r(X5,X1,ins(X2,X3,X0,X4))
| ~ s_r(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480739,c_184]) ).
tcf(c_515483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X0,X5)
| s_t(X0,X3,X5)
| s_t(X3,X5,ins(X1,X2,X3,X4))
| ( X3 = X4 )
| ( ins(X1,X2,X3,X4) = X5 )
| ~ s_t(X3,X4,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480739,c_147]) ).
tcf(c_515484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,ins(X1,X2,X3,X4),X3)
| s_t(X3,X5,ins(X1,X2,X3,X4))
| ( X3 = X4 )
| ( ins(X1,X2,X3,X4) = X5 )
| ( ins(X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X5)
| ~ le(X3,X4,X1,X2)
| ~ sameside(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480739,c_145]) ).
tcf(c_515485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,ins(X1,X2,X3,X4),X5)
| sameside(X0,ins(X1,X2,X3,X4),X3)
| s_t(X3,X5,ins(X1,X2,X3,X4))
| ( X3 = X4 )
| ( ins(X1,X2,X3,X4) = X5 )
| ( ins(X1,X2,X3,X4) = X3 )
| ( ins(X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_col(X0,ins(X1,X2,X3,X4),X3) ),
inference(superposition,[status(thm)],[c_480739,c_143]) ).
tcf(c_515486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,ins(X1,X2,X0,X3))
| ( X0 = X3 )
| ~ s_t(X0,X3,X4)
| ~ le(X0,X3,X1,X2)
| ~ sameside(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480739,c_133]) ).
tcf(c_515487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,ins(X1,X2,X3,X4),X0)
| s_t(X3,X5,ins(X1,X2,X3,X4))
| ( X3 = X4 )
| ( ins(X1,X2,X3,X4) = X5 )
| ( ins(X1,X2,X3,X4) = X3 )
| ( ins(X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480739,c_131]) ).
tcf(c_515488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ins(X1,X2,X0,X3),X5)
| s_t(X0,X5,ins(X1,X2,X0,X3))
| ( X0 = X3 )
| ( ins(X1,X2,X0,X3) = X5 )
| ( ins(X1,X2,X0,X3) = X4 )
| ( ins(X1,X2,X0,X3) = X0 )
| ~ s_t(X0,X3,X5)
| ~ le(X0,X3,X1,X2)
| ~ sameside(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480739,c_125]) ).
tcf(c_515489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,ins(X2,X3,X0,X1))
| s_t(X0,X4,ins(X2,X3,X0,X1))
| s_t(X0,ins(X2,X3,X0,X1),X5)
| ( X0 = X1 )
| ~ s_t(X0,X5,X4)
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_109]) ).
tcf(c_515490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,ins(X1,X2,X0,X3))
| s_t(ins(X1,X2,X0,X3),X5,X4)
| s_t(ins(X1,X2,X0,X3),X4,X5)
| ( X0 = X3 )
| ( ins(X1,X2,X0,X3) = X0 )
| ~ s_t(X0,X3,X5)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480739,c_108]) ).
tcf(c_515491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,X4)
| s_t(X0,X4,X5)
| s_t(X0,X5,ins(X1,X2,X0,X3))
| ( X0 = X3 )
| ( ins(X1,X2,X0,X3) = X0 )
| ~ s_t(X0,X3,X5)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480739,c_107]) ).
tcf(c_515492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X4,ins(X0,X1,X2,X3))
| s_t(X2,ins(X0,X1,X2,X3),X5)
| ( X2 = X3 )
| ( ins(X0,X1,X2,X3) = X4 )
| ~ s_t(X2,X3,X4)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480739,c_81]) ).
tcf(c_515493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X4,ins(X2,X3,X0,X1))
| s_t(X0,ins(X2,X3,X0,X1),X5)
| ( X0 = X1 )
| ~ s_t(X0,X4,X5)
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_80]) ).
tcf(c_515494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X4,X5)
| s_t(X2,X5,ins(X0,X1,X2,X3))
| ( X2 = X3 )
| ~ s_t(X2,X3,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480739,c_79]) ).
tcf(c_515495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X4,X5)
| s_t(X2,X4,ins(X0,X1,X2,X3))
| ( X2 = X3 )
| ( ins(X0,X1,X2,X3) = X4 )
| ~ s_t(X2,X3,X4)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480739,c_78]) ).
tcf(c_515496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X4,ins(X2,X3,X0,X1))
| s_t(ins(X2,X3,X0,X1),X4,X5)
| ( X0 = X1 )
| ~ s_t(X0,X4,X5)
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_77]) ).
tcf(c_515497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X5,ins(X0,X1,X2,X3))
| s_t(X2,ins(X0,X1,X2,X3),X4)
| ( X2 = X3 )
| ~ s_t(X2,X3,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480739,c_76]) ).
tcf(c_515498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X4,ins(X0,X1,X2,X3))
| ( X2 = X3 )
| ( ins(X0,X1,X2,X3) = X2 )
| ~ s_t(X2,X3,X4)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_480739,c_75]) ).
tcf(c_515499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ins(X2,X3,X0,X1),X0)
| s_t(X0,X4,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_73]) ).
tcf(c_515500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(ins(X2,X3,X0,X1),X0,X4,X5),ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X0 )
| ~ le(X0,X1,X2,X3)
| ~ s_t(X0,X1,ext(ins(X2,X3,X0,X1),X0,X4,X5)) ),
inference(superposition,[status(thm)],[c_480739,c_480090]) ).
tcf(c_515501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ext(X2,X0,X3,X4),ins(X5,X6,X0,X1))
| s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X0,ins(X5,X6,X0,X1)),X4)
| ( X0 = X1 )
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480739,c_480407]) ).
tcf(c_515502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ins(X5,X6,X0,X1),ext(X2,X0,X3,X4))
| s_t(X0,ext(X2,X0,X3,X4),ins(X5,X6,X0,X1))
| ( X0 = X1 )
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480739,c_480181]) ).
tcf(c_515503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X0,ins(X5,X6,X0,X1))
| s_t(X0,ext(X2,X0,X3,X4),ins(X5,X6,X0,X1))
| ( X0 = X1 )
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480739,c_480111]) ).
tcf(c_515504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X4,ins(X5,X6,X0,X1))
| s_t(X0,ins(X5,X6,X0,X1),X4)
| s_t(X0,ins(X2,X3,X0,X4),ins(X5,X6,X0,X1))
| ( X0 = X1 )
| ~ le(X0,X4,X2,X3)
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480739,c_480737]) ).
tcf(c_515505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X2,ins(X5,X6,X0,X1))
| s_t(X0,ins(X5,X6,X0,X1),X2)
| s_t(X0,ext(X0,X2,X3,X4),ins(X5,X6,X0,X1))
| ( X0 = X1 )
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ext(X0,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480739,c_480701]) ).
tcf(c_515506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ins(X6,X7,ip(X0,X1,X2,X3,X4),X5),X3)
| s_t(ip(X0,X1,X2,X3,X4),X3,ins(X6,X7,ip(X0,X1,X2,X3,X4),X5))
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3)
| ~ le(ip(X0,X1,X2,X3,X4),X5,X6,X7) ),
inference(superposition,[status(thm)],[c_480739,c_480182]) ).
tcf(c_515507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),ins(X6,X7,ip(X0,X1,X2,X3,X4),X5))
| s_t(ip(X0,X1,X2,X3,X4),X3,ins(X6,X7,ip(X0,X1,X2,X3,X4),X5))
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3)
| ~ le(ip(X0,X1,X2,X3,X4),X5,X6,X7) ),
inference(superposition,[status(thm)],[c_480739,c_480112]) ).
tcf(c_515508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,ins(X6,X7,ip(X0,X1,X2,X3,X4),X5),X0)
| s_t(ip(X0,X1,X2,X3,X4),X0,ins(X6,X7,ip(X0,X1,X2,X3,X4),X5))
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0)
| ~ le(ip(X0,X1,X2,X3,X4),X5,X6,X7) ),
inference(superposition,[status(thm)],[c_480739,c_480183]) ).
tcf(c_515509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),ins(X6,X7,ip(X0,X1,X2,X3,X4),X5))
| s_t(ip(X0,X1,X2,X3,X4),X0,ins(X6,X7,ip(X0,X1,X2,X3,X4),X5))
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0)
| ~ le(ip(X0,X1,X2,X3,X4),X5,X6,X7) ),
inference(superposition,[status(thm)],[c_480739,c_480113]) ).
tcf(c_515510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ext(X2,ins(X3,X4,X0,X1),X5,X6),ins(X3,X4,X0,X1))
| ( X0 = X1 )
| ( ins(X3,X4,X0,X1) = X0 )
| ( ext(X0,ins(X3,X4,X0,X1),X5,X6) = ext(X2,ins(X3,X4,X0,X1),X5,X6) )
| ~ le(X0,X1,X3,X4)
| ~ s_t(X0,X1,ext(X2,ins(X3,X4,X0,X1),X5,X6)) ),
inference(superposition,[status(thm)],[c_480739,c_480012]) ).
tcf(c_515511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),ins(X7,X8,crossbar(X0,X1,X2,X3,X4,X5),X6))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,ins(X7,X8,crossbar(X0,X1,X2,X3,X4,X5),X6))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2)
| ~ le(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8) ),
inference(superposition,[status(thm)],[c_480739,c_480260]) ).
tcf(c_515512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X5,ins(X7,X8,crossbar(X0,X1,X2,X3,X4,X5),X6),X2)
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,ins(X7,X8,crossbar(X0,X1,X2,X3,X4,X5),X6))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2)
| ~ le(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8) ),
inference(superposition,[status(thm)],[c_480739,c_480257]) ).
tcf(c_515513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),ins(X7,X8,crossbar(X0,X1,X2,X3,X4,X5),X6))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,ins(X7,X8,crossbar(X0,X1,X2,X3,X4,X5),X6))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4)
| ~ le(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8) ),
inference(superposition,[status(thm)],[c_480739,c_480322]) ).
tcf(c_515514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ins(X7,X8,crossbar(X0,X1,X2,X3,X4,X5),X6),X4)
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,ins(X7,X8,crossbar(X0,X1,X2,X3,X4,X5),X6))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4)
| ~ le(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X8) ),
inference(superposition,[status(thm)],[c_480739,c_480319]) ).
tcf(c_515515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ins(X2,X3,X0,X1),ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ~ le(X0,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X1)) ),
inference(equality_factoring,[status(thm)],[c_480739]) ).
tcf(c_516482,plain,
! [X0: $i,X1: $i] :
( s_m(s(X1,X0),X1,X0)
| ~ s_m(X0,X1,s(X1,X0)) ),
inference(superposition,[status(thm)],[c_514040,c_15943]) ).
tcf(c_516492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,ext(X1,ins(X2,X3,X0,X1),X4,X5))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_52,c_480740]) ).
tcf(c_516493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,ins(X2,X3,X0,X1))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_72,c_480740]) ).
tcf(c_516494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X0,ins(X4,X5,X0,ins(X1,X2,X3,X0)))
| ( ins(X1,X2,X3,X0) = X0 )
| ~ le(X3,X0,X1,X2)
| ~ le(X0,ins(X1,X2,X3,X0),X4,X5) ),
inference(superposition,[status(thm)],[c_110,c_480740]) ).
tcf(c_516495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X0,c63(X0,ins(X1,X2,X3,X0),X4))
| ( ins(X1,X2,X3,X0) = X0 )
| ~ le(X3,X0,X1,X2)
| ~ sameside(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_129,c_480740]) ).
tcf(c_516496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X4,c63(X0,ins(X1,X2,X3,X4),X4))
| ( ins(X1,X2,X3,X4) = X4 )
| ~ le(X3,X4,X1,X2)
| ~ sameside(X0,ins(X1,X2,X3,X4),X4) ),
inference(superposition,[status(thm)],[c_130,c_480740]) ).
tcf(c_516497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,X2,insert5(X0,X1,X6,X2,ins(X3,X4,X5,X2)))
| ( ins(X3,X4,X5,X2) = X2 )
| ~ s_t(X0,X1,X6)
| ~ le(X5,X2,X3,X4)
| ~ s_e(X0,X1,X2,ins(X3,X4,X5,X2)) ),
inference(superposition,[status(thm)],[c_505149,c_480740]) ).
tcf(c_516498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,s(ins(X2,X3,X0,X1),X1))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_485940,c_480740]) ).
tcf(c_516500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X1,ins(X5,X6,X0,X1))
| s_t(X1,ins(X5,X6,X0,X1),ins(X2,X3,X4,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X4,X1) = X1 )
| ~ le(X4,X1,X2,X3)
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_480738,c_480740]) ).
tcf(c_516501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X0,ins(X5,X6,X0,X1))
| s_t(X0,ins(X5,X6,X0,X1),ins(X2,X3,X4,X0))
| ( X0 = X1 )
| ( ins(X2,X3,X4,X0) = X0 )
| ~ le(X4,X0,X2,X3)
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480739,c_480740]) ).
tcf(c_516503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X0,ip(X5,X0,X6,X4,X7))
| s_t(X0,ip(X5,X0,X6,X4,X7),ins(X1,X2,X3,X0))
| ( ins(X1,X2,X3,X0) = X0 )
| ~ s_t(X5,X0,X6)
| ~ s_t(X4,X7,X6)
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_480702,c_480740]) ).
tcf(c_516504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X0,ip(X4,X5,X6,X7,X0))
| s_t(X0,ip(X4,X5,X6,X7,X0),ins(X1,X2,X3,X0))
| ( ins(X1,X2,X3,X0) = X0 )
| ~ s_t(X7,X0,X6)
| ~ s_t(X4,X5,X6)
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_480703,c_480740]) ).
tcf(c_516505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X0,ext(X0,X1,X5,X6))
| s_t(X0,ext(X0,X1,X5,X6),ins(X2,X3,X4,X0))
| ( X0 = X1 )
| ( ins(X2,X3,X4,X0) = X0 )
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480599,c_480740]) ).
tcf(c_516506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X1,ext(X0,X1,X5,X6))
| s_t(X1,ext(X0,X1,X5,X6),ins(X2,X3,X4,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X4,X1) = X1 )
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_480646,c_480740]) ).
tcf(c_516507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,X0,crossbar(X5,X6,X4,X7,X8,X0))
| s_t(X0,crossbar(X5,X6,X4,X7,X8,X0),ins(X1,X2,X3,X0))
| ( ins(X1,X2,X3,X0) = X0 )
| ~ s_t(X7,X8,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X5,X0,X7)
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_480706,c_480740]) ).
tcf(c_516508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,X0,crossbar(X5,X0,X6,X8,X4,X7))
| s_t(X0,crossbar(X5,X0,X6,X8,X4,X7),ins(X1,X2,X3,X0))
| ( ins(X1,X2,X3,X0) = X0 )
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_480707,c_480740]) ).
tcf(c_516509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,s(ext(X1,ins(X2,X3,X0,X1),X4,X5),X1))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_495727,c_480740]) ).
tcf(c_516601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,ext(X0,ins(X2,X3,X0,X1),X4,X5))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_52,c_480741]) ).
tcf(c_516603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X3,ins(X4,X5,X0,ins(X1,X2,X0,X3)))
| ~ le(X0,X3,X1,X2)
| ~ le(X0,ins(X1,X2,X0,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_110,c_480741]) ).
tcf(c_516604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X3,c63(X0,ins(X1,X2,X0,X3),X4))
| ~ le(X0,X3,X1,X2)
| ~ sameside(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_129,c_480741]) ).
tcf(c_516605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X4,c63(X0,ins(X1,X2,X3,X4),X3))
| ~ le(X3,X4,X1,X2)
| ~ sameside(X0,ins(X1,X2,X3,X4),X3) ),
inference(superposition,[status(thm)],[c_130,c_480741]) ).
tcf(c_516606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X5,insert5(X0,X1,X6,X2,ins(X3,X4,X2,X5)))
| ~ s_t(X0,X1,X6)
| ~ le(X2,X5,X3,X4)
| ~ s_e(X0,X1,X2,ins(X3,X4,X2,X5)) ),
inference(superposition,[status(thm)],[c_505149,c_480741]) ).
tcf(c_516607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,s(ins(X2,X3,X0,X1),X0))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_485940,c_480741]) ).
tcf(c_516609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X4,ins(X5,X6,X0,X1))
| s_t(X1,ins(X5,X6,X0,X1),ins(X2,X3,X1,X4))
| ( X0 = X1 )
| ~ le(X1,X4,X2,X3)
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480738,c_480741]) ).
tcf(c_516610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X4,ins(X5,X6,X0,X1))
| s_t(X0,ins(X5,X6,X0,X1),ins(X2,X3,X0,X4))
| ( X0 = X1 )
| ~ le(X0,X4,X2,X3)
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480739,c_480741]) ).
tcf(c_516612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X3,ip(X5,X0,X6,X4,X7))
| s_t(X0,ip(X5,X0,X6,X4,X7),ins(X1,X2,X0,X3))
| ~ s_t(X5,X0,X6)
| ~ s_t(X4,X7,X6)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480702,c_480741]) ).
tcf(c_516613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X3,ip(X4,X5,X6,X7,X0))
| s_t(X0,ip(X4,X5,X6,X7,X0),ins(X1,X2,X0,X3))
| ~ s_t(X7,X0,X6)
| ~ s_t(X4,X5,X6)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480703,c_480741]) ).
tcf(c_516614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X4,ext(X0,X1,X5,X6))
| s_t(X0,ext(X0,X1,X5,X6),ins(X2,X3,X0,X4))
| ( X0 = X1 )
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480599,c_480741]) ).
tcf(c_516615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X4,ext(X0,X1,X5,X6))
| s_t(X1,ext(X0,X1,X5,X6),ins(X2,X3,X1,X4))
| ( X0 = X1 )
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480646,c_480741]) ).
tcf(c_516616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,X3,crossbar(X5,X6,X4,X7,X8,X0))
| s_t(X0,crossbar(X5,X6,X4,X7,X8,X0),ins(X1,X2,X0,X3))
| ~ s_t(X7,X8,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X5,X0,X7)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480706,c_480741]) ).
tcf(c_516617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,X3,crossbar(X5,X0,X6,X8,X4,X7))
| s_t(X0,crossbar(X5,X0,X6,X8,X4,X7),ins(X1,X2,X0,X3))
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480707,c_480741]) ).
tcf(c_516618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,s(ext(X0,ins(X2,X3,X0,X1),X4,X5),X0))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_495727,c_480741]) ).
tcf(c_516714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ip(X6,X3,X5,ins(X0,X1,X2,X3),X4),ins(X0,X1,X2,X3))
| ~ s_t(X6,X3,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_56,c_480742]) ).
tcf(c_516715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ip(ins(X0,X1,X2,X3),X4,X5,X6,X3),ins(X0,X1,X2,X3))
| ~ s_t(X6,X3,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_57,c_480742]) ).
tcf(c_516716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ins(X2,X3,X0,X1),ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_72,c_480742]) ).
tcf(c_516718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,crossbar(X0,X1,ins(X2,X3,X4,X5),X6,X7,X5),ins(X2,X3,X4,X5))
| ~ s_t(X0,X5,X6)
| ~ le(X4,X5,X2,X3)
| ~ s_t(X6,X7,ins(X2,X3,X4,X5))
| ~ s_t(X0,X1,ins(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_87,c_480742]) ).
tcf(c_516719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,crossbar(X6,X4,X5,X0,ins(X1,X2,X3,X4),X7),ins(X1,X2,X3,X4))
| ~ s_t(X6,X7,X0)
| ~ s_t(X6,X4,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_88,c_480742]) ).
tcf(c_516720,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X0,ins(X1,X2,X0,X0))
| ~ le(X0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_110,c_480742]) ).
tcf(c_516721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ext(ext(ins(X3,X4,X5,X2),X2,alpha,gamma),X2,X0,X1),ins(X3,X4,X5,X2))
| ~ le(X5,X2,X3,X4)
| ~ le(X0,X1,X2,ins(X3,X4,X5,X2)) ),
inference(superposition,[status(thm)],[c_231,c_480742]) ).
tcf(c_516722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ins(X5,X6,X0,X1),ins(X2,X3,X4,X0))
| s_t(X0,ins(X2,X3,X4,X0),ins(X5,X6,X0,X1))
| ( X0 = X1 )
| ~ le(X4,X0,X2,X3)
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480739,c_480742]) ).
tcf(c_516723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ins(X2,X3,X0,X1),X4)
| s_t(X0,X4,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_480742]) ).
tcf(c_516725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ins(X5,X6,X0,X1),ins(X2,X3,X4,X1))
| s_t(X1,ins(X2,X3,X4,X1),ins(X5,X6,X0,X1))
| ( X0 = X1 )
| ~ le(X4,X1,X2,X3)
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_480738,c_480742]) ).
tcf(c_516726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,ip(X5,X0,X6,X4,X7),ins(X1,X2,X3,X0))
| s_t(X0,ins(X1,X2,X3,X0),ip(X5,X0,X6,X4,X7))
| ~ s_t(X5,X0,X6)
| ~ s_t(X4,X7,X6)
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_480702,c_480742]) ).
tcf(c_516727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,ip(X5,X0,X6,X1,X7),ins(X2,X3,X4,X0))
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X7,X6)
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480205,c_480742]) ).
tcf(c_516728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,X1,ins(X2,X3,X4,ip(X5,X0,X6,X1,X7)))
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X7,X6)
| ~ le(X4,ip(X5,X0,X6,X1,X7),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,ip(X5,X0,X6,X1,X7))) ),
inference(superposition,[status(thm)],[c_480135,c_480742]) ).
tcf(c_516729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ip(X0,ins(X1,X2,X3,X4),X5,X4,X6),ins(X1,X2,X3,X4))
| ~ s_t(X4,X6,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480074,c_480742]) ).
tcf(c_516730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,ip(X4,X5,X6,X7,X0),ins(X1,X2,X3,X0))
| s_t(X0,ins(X1,X2,X3,X0),ip(X4,X5,X6,X7,X0))
| ~ s_t(X7,X0,X6)
| ~ s_t(X4,X5,X6)
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_480703,c_480742]) ).
tcf(c_516731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,ip(X1,X5,X6,X7,X0),ins(X2,X3,X4,X0))
| ~ s_t(X7,X0,X6)
| ~ s_t(X1,X5,X6)
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480206,c_480742]) ).
tcf(c_516732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,X1,ins(X2,X3,X4,ip(X1,X5,X6,X7,X0)))
| ~ s_t(X7,X0,X6)
| ~ s_t(X1,X5,X6)
| ~ le(X4,ip(X1,X5,X6,X7,X0),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,ip(X1,X5,X6,X7,X0))) ),
inference(superposition,[status(thm)],[c_480136,c_480742]) ).
tcf(c_516733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ip(X4,X6,X5,X0,ins(X1,X2,X3,X4)),ins(X1,X2,X3,X4))
| ~ s_t(X4,X6,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480075,c_480742]) ).
tcf(c_516734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ext(X0,X1,X5,X6),ins(X2,X3,X4,X0))
| s_t(X0,ins(X2,X3,X4,X0),ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480599,c_480742]) ).
tcf(c_516735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ext(X0,X1,X5,X6),ins(X2,X3,X4,X1))
| s_t(X1,ins(X2,X3,X4,X1),ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_480646,c_480742]) ).
tcf(c_516736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,ext(ext(ins(X0,X1,X2,X3),X3,alpha,gamma),X3,ins(X0,X1,X2,X3),X4),ins(X0,X1,X2,X3))
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X3) ),
inference(superposition,[status(thm)],[c_480406,c_480742]) ).
tcf(c_516737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ext(ext(ins(X2,X3,X4,X0),X0,alpha,gamma),X0,X0,X1),ins(X2,X3,X4,X0))
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480408,c_480742]) ).
tcf(c_516738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,crossbar(X5,X6,X4,X7,X8,X0),ins(X1,X2,X3,X0))
| s_t(X0,ins(X1,X2,X3,X0),crossbar(X5,X6,X4,X7,X8,X0))
| ~ s_t(X7,X8,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X5,X0,X7)
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_480706,c_480742]) ).
tcf(c_516739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,crossbar(X5,X6,X1,X7,X8,X0),ins(X2,X3,X4,X0))
| ~ s_t(X7,X8,X1)
| ~ s_t(X5,X6,X1)
| ~ s_t(X5,X0,X7)
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480256,c_480742]) ).
tcf(c_516740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,X1,ins(X2,X3,X4,crossbar(X5,X6,X1,X7,X8,X0)))
| ~ s_t(X7,X8,X1)
| ~ s_t(X5,X6,X1)
| ~ s_t(X5,X0,X7)
| ~ le(X4,crossbar(X5,X6,X1,X7,X8,X0),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,crossbar(X5,X6,X1,X7,X8,X0))) ),
inference(superposition,[status(thm)],[c_480259,c_480742]) ).
tcf(c_516741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,crossbar(X0,X6,X4,X5,X7,ins(X1,X2,X3,X4)),ins(X1,X2,X3,X4))
| ~ s_t(X5,X7,X4)
| ~ s_t(X0,X6,X4)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480262,c_480742]) ).
tcf(c_516742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,crossbar(X5,X0,X6,X8,X1,X7),ins(X2,X3,X4,X0))
| ~ s_t(X8,X1,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480318,c_480742]) ).
tcf(c_516743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,X1,ins(X2,X3,X4,crossbar(X5,X0,X6,X7,X1,X8)))
| ~ s_t(X7,X1,X6)
| ~ s_t(X5,X8,X7)
| ~ s_t(X5,X0,X6)
| ~ le(X4,crossbar(X5,X0,X6,X7,X1,X8),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,crossbar(X5,X0,X6,X7,X1,X8))) ),
inference(superposition,[status(thm)],[c_480321,c_480742]) ).
tcf(c_516744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,crossbar(X5,X0,X6,X8,X4,X7),ins(X1,X2,X3,X0))
| s_t(X0,ins(X1,X2,X3,X0),crossbar(X5,X0,X6,X8,X4,X7))
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_480707,c_480742]) ).
tcf(c_516745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,crossbar(X0,ins(X1,X2,X3,X4),X5,X7,X4,X6),ins(X1,X2,X3,X4))
| ~ s_t(X7,X4,X5)
| ~ s_t(X0,X6,X7)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480324,c_480742]) ).
tcf(c_516962,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X2,X1,X0)
| ~ s_r(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_161,c_483781]) ).
tcf(c_516963,plain,
! [X0: $i,X1: $i] :
( s_r(X1,X1,X0)
| ~ s_r(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_165,c_483781]) ).
tcf(c_516964,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ s_r(X2,X0,X1)
| ~ s_r(s(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_483781,c_185]) ).
tcf(c_516966,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(s(X0,X2),X0,X1)
| ~ s_r(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_483781,c_483779]) ).
tcf(c_516969,plain,
! [X0: $i,X1: $i] :
( ( s(X1,X0) = X1 )
| ~ s_r(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_483781,c_250249]) ).
tcf(c_516987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ins(X2,X3,X0,X1),ext(X1,ins(X2,X3,X0,X1),X4,X5))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_52,c_480743]) ).
tcf(c_516988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ins(X2,X3,X0,X1),ins(X2,X3,X0,X1))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_72,c_480743]) ).
tcf(c_516989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ins(X1,X2,X3,X0),ins(X4,X5,X0,ins(X1,X2,X3,X0)))
| ( ins(X1,X2,X3,X0) = X0 )
| ~ le(X3,X0,X1,X2)
| ~ le(X0,ins(X1,X2,X3,X0),X4,X5) ),
inference(superposition,[status(thm)],[c_110,c_480743]) ).
tcf(c_516990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,ins(X1,X2,X3,X0),c63(X0,ins(X1,X2,X3,X0),X4))
| ( ins(X1,X2,X3,X0) = X0 )
| ~ le(X3,X0,X1,X2)
| ~ sameside(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_129,c_480743]) ).
tcf(c_516991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,ins(X1,X2,X3,X4),c63(X0,ins(X1,X2,X3,X4),X4))
| ( ins(X1,X2,X3,X4) = X4 )
| ~ le(X3,X4,X1,X2)
| ~ sameside(X0,ins(X1,X2,X3,X4),X4) ),
inference(superposition,[status(thm)],[c_130,c_480743]) ).
tcf(c_516992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,ins(X3,X4,X5,X2),insert5(X0,X1,X6,X2,ins(X3,X4,X5,X2)))
| ( ins(X3,X4,X5,X2) = X2 )
| ~ s_t(X0,X1,X6)
| ~ le(X5,X2,X3,X4)
| ~ s_e(X0,X1,X2,ins(X3,X4,X5,X2)) ),
inference(superposition,[status(thm)],[c_505149,c_480743]) ).
tcf(c_516993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ins(X2,X3,X0,X1),s(ins(X2,X3,X0,X1),X1))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_485940,c_480743]) ).
tcf(c_516995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ins(X2,X3,X4,X1),ins(X5,X6,X0,X1))
| s_t(X1,ins(X5,X6,X0,X1),ins(X2,X3,X4,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X4,X1) = X1 )
| ~ le(X4,X1,X2,X3)
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_480738,c_480743]) ).
tcf(c_516996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ins(X2,X3,X4,X0),ins(X5,X6,X0,X1))
| s_t(X0,ins(X5,X6,X0,X1),ins(X2,X3,X4,X0))
| ( X0 = X1 )
| ( ins(X2,X3,X4,X0) = X0 )
| ~ le(X4,X0,X2,X3)
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480739,c_480743]) ).
tcf(c_516997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X4,ins(X2,X3,X0,X1))
| s_t(X0,ins(X2,X3,X0,X1),X4)
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_480743]) ).
tcf(c_516998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,ins(X1,X2,X3,X0),ip(X5,X0,X6,X4,X7))
| s_t(X0,ip(X5,X0,X6,X4,X7),ins(X1,X2,X3,X0))
| ( ins(X1,X2,X3,X0) = X0 )
| ~ s_t(X5,X0,X6)
| ~ s_t(X4,X7,X6)
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_480702,c_480743]) ).
tcf(c_516999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,ins(X1,X2,X3,X0),ip(X4,X5,X6,X7,X0))
| s_t(X0,ip(X4,X5,X6,X7,X0),ins(X1,X2,X3,X0))
| ( ins(X1,X2,X3,X0) = X0 )
| ~ s_t(X7,X0,X6)
| ~ s_t(X4,X5,X6)
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_480703,c_480743]) ).
tcf(c_517000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ins(X2,X3,X4,X0),ext(X0,X1,X5,X6))
| s_t(X0,ext(X0,X1,X5,X6),ins(X2,X3,X4,X0))
| ( X0 = X1 )
| ( ins(X2,X3,X4,X0) = X0 )
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480599,c_480743]) ).
tcf(c_517001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ins(X2,X3,X4,X1),ext(X0,X1,X5,X6))
| s_t(X1,ext(X0,X1,X5,X6),ins(X2,X3,X4,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X4,X1) = X1 )
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_480646,c_480743]) ).
tcf(c_517002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,ins(X1,X2,X3,X0),crossbar(X5,X6,X4,X7,X8,X0))
| s_t(X0,crossbar(X5,X6,X4,X7,X8,X0),ins(X1,X2,X3,X0))
| ( ins(X1,X2,X3,X0) = X0 )
| ~ s_t(X7,X8,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X5,X0,X7)
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_480706,c_480743]) ).
tcf(c_517003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,ins(X1,X2,X3,X0),crossbar(X5,X0,X6,X8,X4,X7))
| s_t(X0,crossbar(X5,X0,X6,X8,X4,X7),ins(X1,X2,X3,X0))
| ( ins(X1,X2,X3,X0) = X0 )
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_480707,c_480743]) ).
tcf(c_517004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ins(X2,X3,X0,X1),s(ext(X1,ins(X2,X3,X0,X1),X4,X5),X1))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_495727,c_480743]) ).
tcf(c_517108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ins(X2,X3,X0,X1),ext(X0,ins(X2,X3,X0,X1),X4,X5))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_52,c_480744]) ).
tcf(c_517109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,ins(X2,X3,X0,X1),ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_72,c_480744]) ).
tcf(c_517110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ins(X1,X2,X0,X3),ins(X4,X5,X0,ins(X1,X2,X0,X3)))
| ~ le(X0,X3,X1,X2)
| ~ le(X0,ins(X1,X2,X0,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_110,c_480744]) ).
tcf(c_517111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,ins(X1,X2,X0,X3),c63(X0,ins(X1,X2,X0,X3),X4))
| ~ le(X0,X3,X1,X2)
| ~ sameside(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_129,c_480744]) ).
tcf(c_517112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ins(X1,X2,X3,X4),c63(X0,ins(X1,X2,X3,X4),X3))
| ~ le(X3,X4,X1,X2)
| ~ sameside(X0,ins(X1,X2,X3,X4),X3) ),
inference(superposition,[status(thm)],[c_130,c_480744]) ).
tcf(c_517113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,ins(X3,X4,X2,X5),insert5(X0,X1,X6,X2,ins(X3,X4,X2,X5)))
| ~ s_t(X0,X1,X6)
| ~ le(X2,X5,X3,X4)
| ~ s_e(X0,X1,X2,ins(X3,X4,X2,X5)) ),
inference(superposition,[status(thm)],[c_505149,c_480744]) ).
tcf(c_517114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,ins(X2,X3,X0,X1),s(ins(X2,X3,X0,X1),X0))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_485940,c_480744]) ).
tcf(c_517116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ins(X2,X3,X1,X4),ins(X5,X6,X0,X1))
| s_t(X1,ins(X5,X6,X0,X1),ins(X2,X3,X1,X4))
| ( X0 = X1 )
| ~ le(X1,X4,X2,X3)
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480738,c_480744]) ).
tcf(c_517117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ins(X2,X3,X0,X4),ins(X5,X6,X0,X1))
| s_t(X0,ins(X5,X6,X0,X1),ins(X2,X3,X0,X4))
| ( X0 = X1 )
| ~ le(X0,X4,X2,X3)
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480739,c_480744]) ).
tcf(c_517119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,ins(X1,X2,X0,X3),ip(X5,X0,X6,X4,X7))
| s_t(X0,ip(X5,X0,X6,X4,X7),ins(X1,X2,X0,X3))
| ~ s_t(X5,X0,X6)
| ~ s_t(X4,X7,X6)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480702,c_480744]) ).
tcf(c_517120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,ins(X1,X2,X0,X3),ip(X4,X5,X6,X7,X0))
| s_t(X0,ip(X4,X5,X6,X7,X0),ins(X1,X2,X0,X3))
| ~ s_t(X7,X0,X6)
| ~ s_t(X4,X5,X6)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480703,c_480744]) ).
tcf(c_517121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ins(X2,X3,X0,X4),ext(X0,X1,X5,X6))
| s_t(X0,ext(X0,X1,X5,X6),ins(X2,X3,X0,X4))
| ( X0 = X1 )
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480599,c_480744]) ).
tcf(c_517122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ins(X2,X3,X1,X4),ext(X0,X1,X5,X6))
| s_t(X1,ext(X0,X1,X5,X6),ins(X2,X3,X1,X4))
| ( X0 = X1 )
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480646,c_480744]) ).
tcf(c_517123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,ins(X1,X2,X0,X3),crossbar(X5,X6,X4,X7,X8,X0))
| s_t(X0,crossbar(X5,X6,X4,X7,X8,X0),ins(X1,X2,X0,X3))
| ~ s_t(X7,X8,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X5,X0,X7)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480706,c_480744]) ).
tcf(c_517124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,ins(X1,X2,X0,X3),crossbar(X5,X0,X6,X8,X4,X7))
| s_t(X0,crossbar(X5,X0,X6,X8,X4,X7),ins(X1,X2,X0,X3))
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480707,c_480744]) ).
tcf(c_517125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ins(X2,X3,X0,X1),s(ext(X0,ins(X2,X3,X0,X1),X4,X5),X0))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_495727,c_480744]) ).
tcf(c_517322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X3,ip(X6,X3,X5,ins(X0,X1,X2,X3),X4))
| ~ s_t(X6,X3,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_56,c_480745]) ).
tcf(c_517323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X3,ip(ins(X0,X1,X2,X3),X4,X5,X6,X3))
| ~ s_t(X6,X3,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_57,c_480745]) ).
tcf(c_517326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,X5,crossbar(X0,X1,ins(X2,X3,X4,X5),X6,X7,X5))
| ~ s_t(X0,X5,X6)
| ~ le(X4,X5,X2,X3)
| ~ s_t(X6,X7,ins(X2,X3,X4,X5))
| ~ s_t(X0,X1,ins(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_87,c_480745]) ).
tcf(c_517327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X4,crossbar(X6,X4,X5,X0,ins(X1,X2,X3,X4),X7))
| ~ s_t(X6,X7,X0)
| ~ s_t(X6,X4,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_88,c_480745]) ).
tcf(c_517328,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X0,X0)
| ~ le(X0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_110,c_480745]) ).
tcf(c_517329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X2,ext(ext(ins(X3,X4,X5,X2),X2,alpha,gamma),X2,X0,X1))
| ~ le(X5,X2,X3,X4)
| ~ le(X0,X1,X2,ins(X3,X4,X5,X2)) ),
inference(superposition,[status(thm)],[c_231,c_480745]) ).
tcf(c_517330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X0,ins(X5,X6,X0,X1))
| s_t(X0,ins(X2,X3,X4,X0),ins(X5,X6,X0,X1))
| ( X0 = X1 )
| ~ le(X4,X0,X2,X3)
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480739,c_480745]) ).
tcf(c_517333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X1,ins(X5,X6,X0,X1))
| s_t(X1,ins(X2,X3,X4,X1),ins(X5,X6,X0,X1))
| ( X0 = X1 )
| ~ le(X4,X1,X2,X3)
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_480738,c_480745]) ).
tcf(c_517334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X0,ip(X5,X0,X6,X4,X7))
| s_t(X0,ins(X1,X2,X3,X0),ip(X5,X0,X6,X4,X7))
| ~ s_t(X5,X0,X6)
| ~ s_t(X4,X7,X6)
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_480702,c_480745]) ).
tcf(c_517335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,X0,ip(X5,X0,X6,X1,X7))
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X7,X6)
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480205,c_480745]) ).
tcf(c_517336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,ip(X5,X0,X6,X1,X7),X1)
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X7,X6)
| ~ le(X4,ip(X5,X0,X6,X1,X7),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,ip(X5,X0,X6,X1,X7))) ),
inference(superposition,[status(thm)],[c_480135,c_480745]) ).
tcf(c_517337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X4,ip(X0,ins(X1,X2,X3,X4),X5,X4,X6))
| ~ s_t(X4,X6,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480074,c_480745]) ).
tcf(c_517338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X0,ip(X4,X5,X6,X7,X0))
| s_t(X0,ins(X1,X2,X3,X0),ip(X4,X5,X6,X7,X0))
| ~ s_t(X7,X0,X6)
| ~ s_t(X4,X5,X6)
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_480703,c_480745]) ).
tcf(c_517339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,X0,ip(X1,X5,X6,X7,X0))
| ~ s_t(X7,X0,X6)
| ~ s_t(X1,X5,X6)
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480206,c_480745]) ).
tcf(c_517340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,ip(X1,X5,X6,X7,X0),X1)
| ~ s_t(X7,X0,X6)
| ~ s_t(X1,X5,X6)
| ~ le(X4,ip(X1,X5,X6,X7,X0),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,ip(X1,X5,X6,X7,X0))) ),
inference(superposition,[status(thm)],[c_480136,c_480745]) ).
tcf(c_517341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X4,ip(X4,X6,X5,X0,ins(X1,X2,X3,X4)))
| ~ s_t(X4,X6,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480075,c_480745]) ).
tcf(c_517342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X0,ext(X0,X1,X5,X6))
| s_t(X0,ins(X2,X3,X4,X0),ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480599,c_480745]) ).
tcf(c_517343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X1,ext(X0,X1,X5,X6))
| s_t(X1,ins(X2,X3,X4,X1),ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_480646,c_480745]) ).
tcf(c_517344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X3,ext(ext(ins(X0,X1,X2,X3),X3,alpha,gamma),X3,ins(X0,X1,X2,X3),X4))
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X3) ),
inference(superposition,[status(thm)],[c_480406,c_480745]) ).
tcf(c_517345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,ext(ext(ins(X2,X3,X4,X0),X0,alpha,gamma),X0,X0,X1))
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480408,c_480745]) ).
tcf(c_517346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,X0,crossbar(X5,X6,X4,X7,X8,X0))
| s_t(X0,ins(X1,X2,X3,X0),crossbar(X5,X6,X4,X7,X8,X0))
| ~ s_t(X7,X8,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X5,X0,X7)
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_480706,c_480745]) ).
tcf(c_517347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,X0,crossbar(X5,X6,X1,X7,X8,X0))
| ~ s_t(X7,X8,X1)
| ~ s_t(X5,X6,X1)
| ~ s_t(X5,X0,X7)
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480256,c_480745]) ).
tcf(c_517348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,crossbar(X5,X6,X1,X7,X8,X0),X1)
| ~ s_t(X7,X8,X1)
| ~ s_t(X5,X6,X1)
| ~ s_t(X5,X0,X7)
| ~ le(X4,crossbar(X5,X6,X1,X7,X8,X0),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,crossbar(X5,X6,X1,X7,X8,X0))) ),
inference(superposition,[status(thm)],[c_480259,c_480745]) ).
tcf(c_517349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X4,crossbar(X0,X6,X4,X5,X7,ins(X1,X2,X3,X4)))
| ~ s_t(X5,X7,X4)
| ~ s_t(X0,X6,X4)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480262,c_480745]) ).
tcf(c_517350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,X0,crossbar(X5,X0,X6,X8,X1,X7))
| ~ s_t(X8,X1,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_480318,c_480745]) ).
tcf(c_517351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,crossbar(X5,X0,X6,X7,X1,X8),X1)
| ~ s_t(X7,X1,X6)
| ~ s_t(X5,X8,X7)
| ~ s_t(X5,X0,X6)
| ~ le(X4,crossbar(X5,X0,X6,X7,X1,X8),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,crossbar(X5,X0,X6,X7,X1,X8))) ),
inference(superposition,[status(thm)],[c_480321,c_480745]) ).
tcf(c_517352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,X0,crossbar(X5,X0,X6,X8,X4,X7))
| s_t(X0,ins(X1,X2,X3,X0),crossbar(X5,X0,X6,X8,X4,X7))
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_480707,c_480745]) ).
tcf(c_517353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X4,crossbar(X0,ins(X1,X2,X3,X4),X5,X7,X4,X6))
| ~ s_t(X7,X4,X5)
| ~ s_t(X0,X6,X7)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480324,c_480745]) ).
tcf(c_517544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,ext(X0,s(X1,X0),X2,X3)),
inference(superposition,[status(thm)],[c_52,c_485960]) ).
tcf(c_517546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,ins(X2,X3,X0,s(X1,X0)))
| ~ le(X0,s(X1,X0),X2,X3) ),
inference(superposition,[status(thm)],[c_110,c_485960]) ).
tcf(c_517547,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,c63(X0,s(X1,X0),X2))
| ~ sameside(X0,s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_129,c_485960]) ).
tcf(c_517548,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,c63(X0,s(X1,X2),X2))
| ~ sameside(X0,s(X1,X2),X2) ),
inference(superposition,[status(thm)],[c_130,c_485960]) ).
tcf(c_517549,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X1,X0),X1,s(X1,X2))
| ~ s_t(X0,s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_167,c_485960]) ).
tcf(c_517550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X3,insert5(X0,X1,X4,X2,s(X3,X2)))
| ~ s_t(X0,X1,X4)
| ~ s_e(X0,X1,X2,s(X3,X2)) ),
inference(superposition,[status(thm)],[c_505149,c_485960]) ).
tcf(c_517551,plain,
! [X0: $i,X1: $i] : s_t(X0,X1,s(s(X1,X0),X0)),
inference(superposition,[status(thm)],[c_485940,c_485960]) ).
tcf(c_517552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,ins(X3,X4,X0,X1))
| s_t(X1,ins(X3,X4,X0,X1),s(X2,X1))
| ( X0 = X1 )
| ~ le(X0,X1,X3,X4)
| ~ s_t(X0,X1,s(X2,X1)) ),
inference(superposition,[status(thm)],[c_480738,c_485960]) ).
tcf(c_517553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,ins(X3,X4,X0,X1))
| s_t(X0,ins(X3,X4,X0,X1),s(X2,X0))
| ( X0 = X1 )
| ~ le(X0,X1,X3,X4)
| ~ s_t(X0,X1,s(X2,X0)) ),
inference(superposition,[status(thm)],[c_480739,c_485960]) ).
tcf(c_517554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,ip(X3,X0,X4,X2,X5))
| s_t(X0,ip(X3,X0,X4,X2,X5),s(X1,X0))
| ~ s_t(X3,X0,X4)
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_480702,c_485960]) ).
tcf(c_517555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,ip(X2,X3,X4,X5,X0))
| s_t(X0,ip(X2,X3,X4,X5,X0),s(X1,X0))
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_480703,c_485960]) ).
tcf(c_517556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,ext(X0,X1,X3,X4))
| s_t(X0,ext(X0,X1,X3,X4),s(X2,X0))
| ( X0 = X1 )
| ~ s_t(X0,X1,s(X2,X0)) ),
inference(superposition,[status(thm)],[c_480599,c_485960]) ).
tcf(c_517557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,ext(X0,X1,X3,X4))
| s_t(X1,ext(X0,X1,X3,X4),s(X2,X1))
| ( X0 = X1 )
| ~ s_t(X0,X1,s(X2,X1)) ),
inference(superposition,[status(thm)],[c_480646,c_485960]) ).
tcf(c_517558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X1,crossbar(X3,X4,X2,X5,X6,X0))
| s_t(X0,crossbar(X3,X4,X2,X5,X6,X0),s(X1,X0))
| ~ s_t(X5,X6,X2)
| ~ s_t(X3,X4,X2)
| ~ s_t(X3,X0,X5)
| ~ s_t(X0,s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_480706,c_485960]) ).
tcf(c_517559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X1,crossbar(X3,X0,X4,X6,X2,X5))
| s_t(X0,crossbar(X3,X0,X4,X6,X2,X5),s(X1,X0))
| ~ s_t(X6,X2,X4)
| ~ s_t(X3,X5,X6)
| ~ s_t(X3,X0,X4)
| ~ s_t(X0,s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_480707,c_485960]) ).
tcf(c_517560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,s(ext(X0,s(X1,X0),X2,X3),X0)),
inference(superposition,[status(thm)],[c_495727,c_485960]) ).
tcf(c_517617,plain,
! [X0: $i,X1: $i] : s_t(s(X0,X1),X0,s(X1,s(X0,X1))),
inference(superposition,[status(thm)],[c_161,c_517551]) ).
tcf(c_517619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(X2,X1,s(s(X1,X2),X2),X0,X1,X3) = X1 )
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,X1,s(s(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_517551,c_480316]) ).
tcf(c_517620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(X0,X1,s(s(X1,X0),X0),X2,X3,s(s(X1,X0),X0)) = s(s(X1,X0),X0) )
| ~ s_t(X2,X3,s(s(X1,X0),X0))
| ~ s_t(X0,s(s(X1,X0),X0),X2) ),
inference(superposition,[status(thm)],[c_517551,c_480254]) ).
tcf(c_517621,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X1,s(s(X1,X0),X0)) = s(s(X1,X0),X0) ) ),
inference(superposition,[status(thm)],[c_517551,c_480013]) ).
tcf(c_517622,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,s(s(X1,X0),X0),X1) = s(s(X1,X0),X0) ) ),
inference(superposition,[status(thm)],[c_517551,c_480011]) ).
tcf(c_517623,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(X1,X2,s(s(X2,X1),X1),X0,X1) = X1 )
| ~ s_t(X0,X1,s(s(X2,X1),X1)) ),
inference(superposition,[status(thm)],[c_517551,c_479924]) ).
tcf(c_517624,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(X2,X0,s(s(X0,X2),X2),X0,X1) = X0 )
| ~ s_t(X0,X1,s(s(X0,X2),X2)) ),
inference(superposition,[status(thm)],[c_517551,c_479914]) ).
tcf(c_517625,plain,
! [X0: $i,X1: $i] :
( sameside(s(s(X0,X1),X1),X1,X0)
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = X1 ) ),
inference(superposition,[status(thm)],[c_517551,c_238]) ).
tcf(c_517626,plain,
! [X0: $i,X1: $i] :
( sameside(X1,X0,s(s(X1,X0),X0))
| ( X0 = xb )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_517551,c_237]) ).
tcf(c_517627,plain,
! [X0: $i,X1: $i] : s_col(X0,s(s(X0,X1),X1),X1),
inference(superposition,[status(thm)],[c_517551,c_225]) ).
tcf(c_517628,plain,
! [X0: $i,X1: $i] : s_col(s(s(X0,X1),X1),X1,X0),
inference(superposition,[status(thm)],[c_517551,c_224]) ).
tcf(c_517629,plain,
! [X0: $i,X1: $i] : s_col(X0,X1,s(s(X1,X0),X0)),
inference(superposition,[status(thm)],[c_517551,c_223]) ).
tcf(c_517630,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ s_r(X1,X2,X0)
| ~ s_r(s(s(X0,X1),X1),X2,X0) ),
inference(superposition,[status(thm)],[c_517551,c_184]) ).
tcf(c_517631,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,s(s(X1,X2),X2))
| s_t(X0,X2,s(s(X1,X2),X2))
| ( s(s(X1,X2),X2) = X1 )
| ~ s_t(X0,X1,s(s(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_517551,c_147]) ).
tcf(c_517632,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X1 = X2 )
| ( s(s(X1,X2),X2) = X1 )
| ~ sameside(X0,X1,s(s(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_517551,c_145]) ).
tcf(c_517633,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,s(s(X1,X2),X2))
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(s(X1,X2),X2) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_143]) ).
tcf(c_517634,plain,
! [X0: $i,X1: $i] : ~ sameside(X0,X1,s(s(X1,X0),X0)),
inference(superposition,[status(thm)],[c_517551,c_133]) ).
tcf(c_517635,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(s(X1,X2),X2) = X1 )
| ~ s_t(X0,X1,s(s(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_517551,c_131]) ).
tcf(c_517636,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,s(s(X1,X0),X0))
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(s(X1,X0),X0) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_125]) ).
tcf(c_517637,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,X1)
| s_t(X0,X1,X2)
| ~ s_t(X0,X1,s(s(X2,X0),X0)) ),
inference(superposition,[status(thm)],[c_517551,c_109]) ).
tcf(c_517638,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X2,s(s(X1,X0),X0))
| s_t(X1,s(s(X1,X0),X0),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_108]) ).
tcf(c_517639,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,s(s(X1,X0),X0))
| s_t(X0,s(s(X1,X0),X0),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_107]) ).
tcf(c_517640,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X0,X2)
| ( s(s(X0,X1),X1) = X0 )
| ~ s_t(X0,s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_517551,c_81]) ).
tcf(c_517641,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,X2)
| ~ s_t(X0,s(s(X1,X0),X0),X2) ),
inference(superposition,[status(thm)],[c_517551,c_80]) ).
tcf(c_517642,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,s(s(X0,X2),X2))
| ~ s_t(X0,X1,s(s(X0,X2),X2)) ),
inference(superposition,[status(thm)],[c_517551,c_79]) ).
tcf(c_517643,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,s(s(X0,X1),X1),X2)
| ( s(s(X0,X1),X1) = X0 )
| ~ s_t(X0,s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_517551,c_78]) ).
tcf(c_517644,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,s(s(X1,X0),X0),X2)
| ~ s_t(X0,s(s(X1,X0),X0),X2) ),
inference(superposition,[status(thm)],[c_517551,c_77]) ).
tcf(c_517645,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,X1)
| ~ s_t(X0,X1,s(s(X0,X2),X2)) ),
inference(superposition,[status(thm)],[c_517551,c_76]) ).
tcf(c_517646,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ s_t(X0,X1,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_517551,c_75]) ).
tcf(c_517647,plain,
! [X0: $i,X1: $i] : s_t(s(s(X0,X1),X1),X0,X1),
inference(superposition,[status(thm)],[c_517551,c_73]) ).
tcf(c_517648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,s(s(ext(X0,X1,X2,X3),X0),X0)),
inference(superposition,[status(thm)],[c_517551,c_480204]) ).
tcf(c_517649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,ext(X1,X0,X2,X3),s(s(ext(X1,X0,X2,X3),X1),X1)),
inference(superposition,[status(thm)],[c_517551,c_480134]) ).
tcf(c_517650,plain,
! [X0: $i,X1: $i] : s_t(X0,X1,s(s(s(X1,X0),X0),X0)),
inference(superposition,[status(thm)],[c_517551,c_485960]) ).
tcf(c_517651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,ins(X2,X3,X0,X1),s(s(ins(X2,X3,X0,X1),X0),X0))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_517551,c_480744]) ).
tcf(c_517652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,s(s(ins(X2,X3,X0,X1),X0),X0))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_517551,c_480741]) ).
tcf(c_517653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,s(s(ext(X0,X1,X2,X3),X1),X1))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_517551,c_480227]) ).
tcf(c_517654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ext(X0,X1,X2,X3),s(s(ext(X0,X1,X2,X3),X1),X1))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_517551,c_480157]) ).
tcf(c_517655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ins(X2,X3,X0,X1),s(s(ins(X2,X3,X0,X1),X1),X1))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_517551,c_480743]) ).
tcf(c_517656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,s(s(ins(X2,X3,X0,X1),X1),X1))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_517551,c_480740]) ).
tcf(c_517657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),s(s(X3,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_480228]) ).
tcf(c_517658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,s(s(X3,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_480158]) ).
tcf(c_517659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),s(s(X0,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_480229]) ).
tcf(c_517660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,s(s(X0,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_480159]) ).
tcf(c_517661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X3,s(s(ip(X0,X1,X2,X3,X4),X1),X1))
| s_t(ip(X0,X1,X2,X3,X4),s(s(ip(X0,X1,X2,X3,X4),X1),X1),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_480647]) ).
tcf(c_517662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,s(s(ip(X0,X1,X2,X3,X4),X1),X1))
| s_t(X1,s(s(ip(X0,X1,X2,X3,X4),X1),X1),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_480600]) ).
tcf(c_517663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X0,s(s(ip(X0,X1,X2,X3,X4),X4),X4))
| s_t(ip(X0,X1,X2,X3,X4),s(s(ip(X0,X1,X2,X3,X4),X4),X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_480648]) ).
tcf(c_517664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,s(s(ip(X0,X1,X2,X3,X4),X4),X4))
| s_t(X4,s(s(ip(X0,X1,X2,X3,X4),X4),X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_480601]) ).
tcf(c_517665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(crossbar(X0,X3,X4,X2,X5,X1),X4,s(s(crossbar(X0,X3,X4,X2,X5,X1),X1),X1))
| s_t(crossbar(X0,X3,X4,X2,X5,X1),s(s(crossbar(X0,X3,X4,X2,X5,X1),X1),X1),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_480651]) ).
tcf(c_517666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X4,s(s(crossbar(X0,X3,X4,X2,X5,X1),X1),X1))
| s_t(X1,s(s(crossbar(X0,X3,X4,X2,X5,X1),X1),X1),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_480604]) ).
tcf(c_517667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,s(s(X2,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_480258]) ).
tcf(c_517668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X5,X3),s(s(X2,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_480255]) ).
tcf(c_517669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(crossbar(X0,X1,X2,X4,X5,X3),X5,s(s(crossbar(X0,X1,X2,X4,X5,X3),X1),X1))
| s_t(crossbar(X0,X1,X2,X4,X5,X3),s(s(crossbar(X0,X1,X2,X4,X5,X3),X1),X1),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_480652]) ).
tcf(c_517670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,s(s(crossbar(X0,X1,X2,X4,X5,X3),X1),X1))
| s_t(X1,s(s(crossbar(X0,X1,X2,X4,X5,X3),X1),X1),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_480605]) ).
tcf(c_517671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,s(s(X5,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_480320]) ).
tcf(c_517672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),s(s(X5,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_480317]) ).
tcf(c_518421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ins(X2,X3,ins(X4,X5,X0,X1),X0),ins(X4,X5,X0,X1))
| ( X0 = X1 )
| ( ins(X4,X5,X0,X1) = X0 )
| ~ le(X0,X1,X4,X5)
| ~ le(ins(X4,X5,X0,X1),X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ins(X4,X5,X0,X1),X0)) ),
inference(superposition,[status(thm)],[c_480739,c_480746]) ).
tcf(c_518424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ins(X2,X3,ins(X4,X5,X0,X1),X1),ins(X4,X5,X0,X1))
| ( X0 = X1 )
| ( ins(X4,X5,X0,X1) = X1 )
| ~ le(X0,X1,X4,X5)
| ~ le(ins(X4,X5,X0,X1),X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ins(X4,X5,X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_480738,c_480746]) ).
tcf(c_518425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ins(X1,X2,ip(X3,X0,X4,X5,X6),X0),ip(X3,X0,X4,X5,X6))
| ( ip(X3,X0,X4,X5,X6) = X0 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X0,X4)
| ~ le(ip(X3,X0,X4,X5,X6),X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,ip(X3,X0,X4,X5,X6),X0),X5) ),
inference(superposition,[status(thm)],[c_480702,c_480746]) ).
tcf(c_518426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(X4,X0,X5,X1,X6) = X0 )
| ~ s_t(X4,X0,X5)
| ~ s_t(X1,X6,X5)
| ~ le(ip(X4,X0,X5,X1,X6),X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ip(X4,X0,X5,X1,X6),X0)) ),
inference(superposition,[status(thm)],[c_480205,c_480746]) ).
tcf(c_518427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(X4,X0,X5,X1,X6) = X1 )
| ~ s_t(X4,X0,X5)
| ~ s_t(X1,X6,X5)
| ~ le(X1,ip(X4,X0,X5,X1,X6),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,ip(X4,X0,X5,X1,X6))) ),
inference(superposition,[status(thm)],[c_480135,c_480746]) ).
tcf(c_518428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ins(X1,X2,ip(X3,X4,X5,X6,X0),X0),ip(X3,X4,X5,X6,X0))
| ( ip(X3,X4,X5,X6,X0) = X0 )
| ~ s_t(X6,X0,X5)
| ~ s_t(X3,X4,X5)
| ~ le(ip(X3,X4,X5,X6,X0),X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,ip(X3,X4,X5,X6,X0),X0),X3) ),
inference(superposition,[status(thm)],[c_480703,c_480746]) ).
tcf(c_518429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(X1,X4,X5,X6,X0) = X0 )
| ~ s_t(X6,X0,X5)
| ~ s_t(X1,X4,X5)
| ~ le(ip(X1,X4,X5,X6,X0),X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ip(X1,X4,X5,X6,X0),X0)) ),
inference(superposition,[status(thm)],[c_480206,c_480746]) ).
tcf(c_518430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ip(X1,X4,X5,X6,X0) = X1 )
| ~ s_t(X6,X0,X5)
| ~ s_t(X1,X4,X5)
| ~ le(X1,ip(X1,X4,X5,X6,X0),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,ip(X1,X4,X5,X6,X0))) ),
inference(superposition,[status(thm)],[c_480136,c_480746]) ).
tcf(c_518431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ins(X2,X3,ext(X0,X1,X4,X5),X0),ext(X0,X1,X4,X5))
| ( X0 = X1 )
| ( ext(X0,X1,X4,X5) = X0 )
| ~ le(ext(X0,X1,X4,X5),X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ext(X0,X1,X4,X5),X0)) ),
inference(superposition,[status(thm)],[c_480599,c_480746]) ).
tcf(c_518432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ins(X2,X3,ext(X0,X1,X4,X5),X1),ext(X0,X1,X4,X5))
| ( X0 = X1 )
| ( ext(X0,X1,X4,X5) = X1 )
| ~ le(ext(X0,X1,X4,X5),X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ext(X0,X1,X4,X5),X1)) ),
inference(superposition,[status(thm)],[c_480646,c_480746]) ).
tcf(c_518433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,ins(X1,X2,crossbar(X3,X4,X5,X6,X7,X0),X0),crossbar(X3,X4,X5,X6,X7,X0))
| ( crossbar(X3,X4,X5,X6,X7,X0) = X0 )
| ~ s_t(X6,X7,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X3,X0,X6)
| ~ le(crossbar(X3,X4,X5,X6,X7,X0),X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,crossbar(X3,X4,X5,X6,X7,X0),X0),X5) ),
inference(superposition,[status(thm)],[c_480706,c_480746]) ).
tcf(c_518434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(X4,X5,X1,X6,X7,X0) = X0 )
| ~ s_t(X6,X7,X1)
| ~ s_t(X4,X5,X1)
| ~ s_t(X4,X0,X6)
| ~ le(crossbar(X4,X5,X1,X6,X7,X0),X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,crossbar(X4,X5,X1,X6,X7,X0),X0)) ),
inference(superposition,[status(thm)],[c_480256,c_480746]) ).
tcf(c_518435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(X4,X5,X1,X6,X7,X0) = X1 )
| ~ s_t(X6,X7,X1)
| ~ s_t(X4,X5,X1)
| ~ s_t(X4,X0,X6)
| ~ le(X1,crossbar(X4,X5,X1,X6,X7,X0),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,crossbar(X4,X5,X1,X6,X7,X0))) ),
inference(superposition,[status(thm)],[c_480259,c_480746]) ).
tcf(c_518436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(X4,X0,X5,X6,X1,X7) = X0 )
| ~ s_t(X6,X1,X5)
| ~ s_t(X4,X7,X6)
| ~ s_t(X4,X0,X5)
| ~ le(crossbar(X4,X0,X5,X6,X1,X7),X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,crossbar(X4,X0,X5,X6,X1,X7),X0)) ),
inference(superposition,[status(thm)],[c_480318,c_480746]) ).
tcf(c_518437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( crossbar(X4,X0,X5,X6,X1,X7) = X1 )
| ~ s_t(X6,X1,X5)
| ~ s_t(X4,X7,X6)
| ~ s_t(X4,X0,X5)
| ~ le(X1,crossbar(X4,X0,X5,X6,X1,X7),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,crossbar(X4,X0,X5,X6,X1,X7))) ),
inference(superposition,[status(thm)],[c_480321,c_480746]) ).
tcf(c_518438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,ins(X1,X2,crossbar(X3,X0,X4,X5,X6,X7),X0),crossbar(X3,X0,X4,X5,X6,X7))
| ( crossbar(X3,X0,X4,X5,X6,X7) = X0 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X7,X5)
| ~ s_t(X3,X0,X4)
| ~ le(crossbar(X3,X0,X4,X5,X6,X7),X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,crossbar(X3,X0,X4,X5,X6,X7),X0),X6) ),
inference(superposition,[status(thm)],[c_480707,c_480746]) ).
tcf(c_518739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(ins(X0,X1,X2,X3),X3,X2,X5,X3,X4) = X3 )
| ~ s_t(X5,X3,X2)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480747,c_480316]) ).
tcf(c_518740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(ins(X0,X1,X2,X3),X3,X2,X4,X5,X2) = X2 )
| ~ s_t(X4,X5,X2)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_480747,c_480254]) ).
tcf(c_518741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ins(X2,X3,X0,X1) = X1 )
| ( ext(ins(X2,X3,X0,X1),X1,X1,X0) = X0 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480747,c_480013]) ).
tcf(c_518742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ins(X2,X3,X0,X1) = X1 )
| ( ext(ins(X2,X3,X0,X1),X1,X0,X1) = X0 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480747,c_480011]) ).
tcf(c_518743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(ins(X1,X2,X3,X4),X4,X3,X0,ins(X1,X2,X3,X4)) = ins(X1,X2,X3,X4) )
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X3) ),
inference(superposition,[status(thm)],[c_480747,c_479924]) ).
tcf(c_518744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(ins(X2,X3,X0,X1),X1,X0,X1,X4) = X1 )
| ~ s_t(X1,X4,X0)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480747,c_479914]) ).
tcf(c_518745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,ins(X2,X3,X0,X1),X1)
| ( ins(X2,X3,X0,X1) = X1 )
| ( ins(X2,X3,X0,X1) = X0 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480747,c_238]) ).
tcf(c_518746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,ins(X2,X3,X0,X1),X0)
| ( ins(X2,X3,X0,X1) = xb )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480747,c_237]) ).
tcf(c_518747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X0,ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480747,c_225]) ).
tcf(c_518748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,ins(X2,X3,X0,X1),X1)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480747,c_224]) ).
tcf(c_518749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(ins(X2,X3,X0,X1),X1,X0)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480747,c_223]) ).
tcf(c_518751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ins(X2,X3,X0,X1),X0)
| s_t(ins(X2,X3,X0,X1),X4,X0)
| ( X0 = X1 )
| ~ s_t(X4,X1,X0)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480747,c_147]) ).
tcf(c_518752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X4,X1,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ sameside(X4,X1,X0)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480747,c_145]) ).
tcf(c_518753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,X4)
| sameside(X0,X1,ins(X2,X3,X4,X1))
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X4,X1) = X1 )
| ~ le(X4,X1,X2,X3)
| ~ s_col(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_480747,c_143]) ).
tcf(c_518754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ le(X2,X3,X0,X1)
| ~ sameside(ins(X0,X1,X2,X3),X3,X2) ),
inference(superposition,[status(thm)],[c_480747,c_133]) ).
tcf(c_518755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(ins(X2,X3,X0,X1),X1,X4)
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ s_t(X4,X1,X0)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480747,c_131]) ).
tcf(c_518756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X3,X2)
| ( X3 = X4 )
| ( X2 = X3 )
| ( ins(X0,X1,X2,X3) = X3 )
| ~ le(X2,X3,X0,X1)
| ~ sameside(ins(X0,X1,X2,X3),X3,X4) ),
inference(superposition,[status(thm)],[c_480747,c_125]) ).
tcf(c_518757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ins(X0,X1,X2,X3),X4,X3)
| s_t(ins(X0,X1,X2,X3),X3,X4)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X2) ),
inference(superposition,[status(thm)],[c_480747,c_109]) ).
tcf(c_518758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X4,X2)
| s_t(X3,X2,X4)
| ( ins(X0,X1,X2,X3) = X3 )
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X3,X4) ),
inference(superposition,[status(thm)],[c_480747,c_108]) ).
tcf(c_518759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ins(X0,X1,X2,X3),X4,X2)
| s_t(ins(X0,X1,X2,X3),X2,X4)
| ( ins(X0,X1,X2,X3) = X3 )
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X3,X4) ),
inference(superposition,[status(thm)],[c_480747,c_107]) ).
tcf(c_518760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ins(X2,X3,X0,X1),X1,X4)
| ( X0 = X1 )
| ~ s_t(X1,X0,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480747,c_81]) ).
tcf(c_518761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ins(X0,X1,X2,X3),X3,X4)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_480747,c_80]) ).
tcf(c_518762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ins(X2,X3,X0,X1),X4,X0)
| ~ s_t(X1,X4,X0)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480747,c_79]) ).
tcf(c_518763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ins(X2,X3,X0,X1),X0,X4)
| ( X0 = X1 )
| ~ s_t(X1,X0,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480747,c_78]) ).
tcf(c_518764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X2,X4)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_480747,c_77]) ).
tcf(c_518765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ins(X2,X3,X0,X1),X1,X4)
| ~ s_t(X1,X4,X0)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480747,c_76]) ).
tcf(c_518766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ins(X1,X2,X3,X0) = X0 )
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X3) ),
inference(superposition,[status(thm)],[c_480747,c_75]) ).
tcf(c_518768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ins(X4,X5,ext(X0,X1,X2,X3),X1) = X1 )
| ( ext(ins(X4,X5,ext(X0,X1,X2,X3),X1),X1,X2,X3) = ext(X0,X1,X2,X3) )
| ~ le(ext(X0,X1,X2,X3),X1,X4,X5) ),
inference(superposition,[status(thm)],[c_480747,c_480012]) ).
tcf(c_518917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X2,ip(X6,X2,X5,ins(X0,X1,X2,X3),X4)),X1)
| ~ s_t(X6,X2,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_56,c_480791]) ).
tcf(c_518918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X2,ip(ins(X0,X1,X2,X3),X4,X5,X6,X2)),X1)
| ~ s_t(X6,X2,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_57,c_480791]) ).
tcf(c_518919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,ins(X2,X3,X0,X1)),X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_72,c_480791]) ).
tcf(c_518920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X0),X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_74,c_480791]) ).
tcf(c_518921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X4,crossbar(X0,X1,ins(X2,X3,X4,X5),X6,X7,X4)),X3)
| ~ s_t(X0,X4,X6)
| ~ le(X4,X5,X2,X3)
| ~ s_t(X6,X7,ins(X2,X3,X4,X5))
| ~ s_t(X0,X1,ins(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_87,c_480791]) ).
tcf(c_518922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ext(ext(X2,X1,alpha,gamma),X1,X3,crossbar(X6,X3,X5,X0,ins(X1,X2,X3,X4),X7)),X2)
| ~ s_t(X6,X7,X0)
| ~ s_t(X6,X3,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_88,c_480791]) ).
tcf(c_518924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X2,ext(ext(ins(X3,X4,X2,X5),X2,alpha,gamma),X2,X0,X1)),X4)
| ~ le(X2,X5,X3,X4)
| ~ le(X0,X1,X2,ins(X3,X4,X2,X5)) ),
inference(superposition,[status(thm)],[c_231,c_480791]) ).
tcf(c_518925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ins(X2,X3,X0,X4),ins(X5,X6,X0,X1))
| s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,ins(X5,X6,X0,X1)),X3)
| ( X0 = X1 )
| ~ le(X0,X4,X2,X3)
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480739,c_480791]) ).
tcf(c_518927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ins(X2,X3,X0,X1),X4)
| s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X4),X3)
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_480791]) ).
tcf(c_518928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ins(X2,X3,X1,X4),ins(X5,X6,X0,X1))
| s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X1,ins(X5,X6,X0,X1)),X3)
| ( X0 = X1 )
| ~ le(X1,X4,X2,X3)
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480738,c_480791]) ).
tcf(c_518929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,ins(X1,X2,X0,X3),ip(X5,X0,X6,X4,X7))
| s_t(X1,ext(ext(X2,X1,alpha,gamma),X1,X0,ip(X5,X0,X6,X4,X7)),X2)
| ~ s_t(X5,X0,X6)
| ~ s_t(X4,X7,X6)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480702,c_480791]) ).
tcf(c_518930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,ip(X5,X0,X6,X1,X7)),X3)
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X7,X6)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480205,c_480791]) ).
tcf(c_518931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,ip(X4,X0,X5,X1,X6),X1),X3)
| ~ s_t(X4,X0,X5)
| ~ s_t(X1,X6,X5)
| ~ le(ip(X4,X0,X5,X1,X6),X7,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ip(X4,X0,X5,X1,X6),X7)) ),
inference(superposition,[status(thm)],[c_480135,c_480791]) ).
tcf(c_518932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ext(ext(X2,X1,alpha,gamma),X1,X3,ip(X0,ins(X1,X2,X3,X4),X5,X3,X6)),X2)
| ~ s_t(X3,X6,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480074,c_480791]) ).
tcf(c_518933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,ins(X1,X2,X0,X3),ip(X4,X5,X6,X7,X0))
| s_t(X1,ext(ext(X2,X1,alpha,gamma),X1,X0,ip(X4,X5,X6,X7,X0)),X2)
| ~ s_t(X7,X0,X6)
| ~ s_t(X4,X5,X6)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480703,c_480791]) ).
tcf(c_518934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,ip(X1,X5,X6,X7,X0)),X3)
| ~ s_t(X7,X0,X6)
| ~ s_t(X1,X5,X6)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480206,c_480791]) ).
tcf(c_518935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,ip(X1,X4,X5,X6,X0),X1),X3)
| ~ s_t(X6,X0,X5)
| ~ s_t(X1,X4,X5)
| ~ le(ip(X1,X4,X5,X6,X0),X7,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ip(X1,X4,X5,X6,X0),X7)) ),
inference(superposition,[status(thm)],[c_480136,c_480791]) ).
tcf(c_518936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ext(ext(X2,X1,alpha,gamma),X1,X3,ip(X3,X6,X5,X0,ins(X1,X2,X3,X4))),X2)
| ~ s_t(X3,X6,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480075,c_480791]) ).
tcf(c_518937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ins(X2,X3,X0,X4),ext(X0,X1,X5,X6))
| s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,ext(X0,X1,X5,X6)),X3)
| ( X0 = X1 )
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480599,c_480791]) ).
tcf(c_518938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ins(X2,X3,X1,X4),ext(X0,X1,X5,X6))
| s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X1,ext(X0,X1,X5,X6)),X3)
| ( X0 = X1 )
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480646,c_480791]) ).
tcf(c_518939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X2,ext(ext(ins(X0,X1,X2,X3),X2,alpha,gamma),X2,ins(X0,X1,X2,X3),X4)),X1)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X2) ),
inference(superposition,[status(thm)],[c_480406,c_480791]) ).
tcf(c_518940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,ext(ext(ins(X2,X3,X0,X4),X0,alpha,gamma),X0,X0,X1)),X3)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480408,c_480791]) ).
tcf(c_518941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,ins(X1,X2,X0,X3),crossbar(X5,X6,X4,X7,X8,X0))
| s_t(X1,ext(ext(X2,X1,alpha,gamma),X1,X0,crossbar(X5,X6,X4,X7,X8,X0)),X2)
| ~ s_t(X7,X8,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X5,X0,X7)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480706,c_480791]) ).
tcf(c_518942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,crossbar(X5,X6,X1,X7,X8,X0)),X3)
| ~ s_t(X7,X8,X1)
| ~ s_t(X5,X6,X1)
| ~ s_t(X5,X0,X7)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480256,c_480791]) ).
tcf(c_518943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,crossbar(X4,X5,X1,X6,X7,X0),X1),X3)
| ~ s_t(X6,X7,X1)
| ~ s_t(X4,X5,X1)
| ~ s_t(X4,X0,X6)
| ~ le(crossbar(X4,X5,X1,X6,X7,X0),X8,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,crossbar(X4,X5,X1,X6,X7,X0),X8)) ),
inference(superposition,[status(thm)],[c_480259,c_480791]) ).
tcf(c_518944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ext(ext(X2,X1,alpha,gamma),X1,X3,crossbar(X0,X6,X3,X5,X7,ins(X1,X2,X3,X4))),X2)
| ~ s_t(X5,X7,X3)
| ~ s_t(X0,X6,X3)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480262,c_480791]) ).
tcf(c_518945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,crossbar(X5,X0,X6,X8,X1,X7)),X3)
| ~ s_t(X8,X1,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480318,c_480791]) ).
tcf(c_518946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,crossbar(X4,X0,X5,X6,X1,X7),X1),X3)
| ~ s_t(X6,X1,X5)
| ~ s_t(X4,X7,X6)
| ~ s_t(X4,X0,X5)
| ~ le(crossbar(X4,X0,X5,X6,X1,X7),X8,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,crossbar(X4,X0,X5,X6,X1,X7),X8)) ),
inference(superposition,[status(thm)],[c_480321,c_480791]) ).
tcf(c_518947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,ins(X1,X2,X0,X3),crossbar(X5,X0,X6,X8,X4,X7))
| s_t(X1,ext(ext(X2,X1,alpha,gamma),X1,X0,crossbar(X5,X0,X6,X8,X4,X7)),X2)
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480707,c_480791]) ).
tcf(c_518948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ext(ext(X2,X1,alpha,gamma),X1,X3,crossbar(X0,ins(X1,X2,X3,X4),X5,X7,X3,X6)),X2)
| ~ s_t(X7,X3,X5)
| ~ s_t(X0,X6,X7)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480324,c_480791]) ).
tcf(c_519188,plain,
! [X0: $i,X1: $i] : s_col(X0,s(X1,s(X0,X1)),s(X0,X1)),
inference(superposition,[status(thm)],[c_161,c_517627]) ).
tcf(c_519190,plain,
! [X0: $i,X1: $i] :
( s_t(X1,X0,s(s(X0,X1),X1))
| s_t(X0,s(s(X0,X1),X1),X1)
| s_t(s(s(X0,X1),X1),X1,X0) ),
inference(superposition,[status(thm)],[c_517627,c_222]) ).
tcf(c_519191,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0,X1),X1) = X1 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_r(X0,s(s(X0,X1),X1),X1) ),
inference(superposition,[status(thm)],[c_517627,c_187]) ).
tcf(c_519192,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,X0,X2)
| ( s(s(X0,X1),X1) = X0 )
| ~ s_r(s(s(X0,X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_517627,c_181]) ).
tcf(c_519193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X1 = X2 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X1)
| ~ s_col(X0,s(s(X0,X1),X1),X3)
| ~ s_col(X0,s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_517627,c_152]) ).
tcf(c_519194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| ( X1 = X2 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(X0,s(s(X0,X1),X1),X3)
| ~ s_col(X0,s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_517627,c_151]) ).
tcf(c_519195,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(X0,s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_517627,c_148]) ).
tcf(c_519196,plain,
! [X0: $i,X1: $i] :
( sameside(X0,s(s(X0,X1),X1),X1)
| s_t(X0,s(s(X0,X1),X1),X1) ),
inference(superposition,[status(thm)],[c_517627,c_134]) ).
tcf(c_519197,plain,
! [X0: $i,X1: $i] : s_col(X0,X1,s(s(X0,X1),X1)),
inference(superposition,[status(thm)],[c_517627,c_98]) ).
tcf(c_519198,plain,
! [X0: $i,X1: $i] : s_col(s(s(X0,X1),X1),X0,X1),
inference(superposition,[status(thm)],[c_517627,c_97]) ).
tcf(c_519199,plain,
! [X0: $i,X1: $i] : s_col(X0,s(s(X1,X0),X0),X1),
inference(superposition,[status(thm)],[c_517627,c_96]) ).
tcf(c_519202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,s(s(X0,X1),X1),X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X1 = X2 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_r(X1,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_517627,c_200]) ).
tcf(c_519474,plain,
! [X0: $i,X1: $i] : s_col(s(X0,s(X1,X0)),s(X1,X0),X1),
inference(superposition,[status(thm)],[c_161,c_517628]) ).
tcf(c_519477,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(s(X0,X1),X1) = X1 )
| ~ s_r(s(s(X0,X1),X1),X1,X0) ),
inference(superposition,[status(thm)],[c_517628,c_187]) ).
tcf(c_519478,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,s(s(X1,X0),X0),X2)
| ( s(s(X1,X0),X0) = X0 )
| ~ s_r(X0,s(s(X1,X0),X0),X2) ),
inference(superposition,[status(thm)],[c_517628,c_181]) ).
tcf(c_519479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X0 = X2 )
| ( s(s(X0,X1),X1) = X1 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X0)
| ~ s_col(s(s(X0,X1),X1),X1,X3)
| ~ s_col(s(s(X0,X1),X1),X1,X2) ),
inference(superposition,[status(thm)],[c_517628,c_152]) ).
tcf(c_519480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X2,X3)
| ( X0 = X2 )
| ( s(s(X0,X1),X1) = X1 )
| ~ s_col(s(s(X0,X1),X1),X1,X3)
| ~ s_col(s(s(X0,X1),X1),X1,X2) ),
inference(superposition,[status(thm)],[c_517628,c_151]) ).
tcf(c_519481,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X0,X2)
| ( s(s(X0,X1),X1) = X1 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(s(s(X0,X1),X1),X1,X2) ),
inference(superposition,[status(thm)],[c_517628,c_148]) ).
tcf(c_519482,plain,
! [X0: $i,X1: $i] :
( sameside(s(s(X0,X1),X1),X1,X0)
| s_t(s(s(X0,X1),X1),X1,X0) ),
inference(superposition,[status(thm)],[c_517628,c_134]) ).
tcf(c_519488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(s(s(X0,X1),X1),X1,X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X0 = X2 )
| ( s(s(X0,X1),X1) = X1 )
| ~ s_r(X0,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(s(s(X0,X1),X1),X1,X2) ),
inference(superposition,[status(thm)],[c_517628,c_200]) ).
tcf(c_519533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X1,X2,ins(X2,X1,X0,X3))
| ~ le(X0,X3,X2,X1)
| ~ s_t(X2,ins(X2,X1,X0,X3),X1)
| ~ s_t(X0,X1,ins(X2,X1,X0,X3)) ),
inference(superposition,[status(thm)],[c_49,c_480792]) ).
tcf(c_519534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ins(X1,X2,X0,X3),X1,X2)
| ~ s_t(X1,X2,X2)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),ins(X1,X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_66,c_480792]) ).
tcf(c_519536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X1,X2,X1)
| ~ s_t(X2,X1,X3)
| ~ le(X0,X4,X2,X3)
| ~ s_m(ins(X2,X3,X0,X4),X1,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_240,c_480792]) ).
tcf(c_519537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X1,X2,X1)
| ~ s_t(X2,X1,X3)
| ~ le(X0,X4,X2,X3)
| ~ s_m(X3,X1,ins(X2,X3,X0,X4))
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_486279,c_480792]) ).
tcf(c_519538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ext(X1,ins(X2,X3,X0,X4),X5,X3),X2,X5)
| ~ s_t(X2,X5,X3)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,ext(X1,ins(X2,X3,X0,X4),X5,X3),ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_479960,c_480792]) ).
tcf(c_519539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X2,X0,s(X1,ins(X0,s(X1,X2),X3,X4)))
| ~ le(X3,X4,X0,s(X1,X2))
| ~ s_t(X3,X2,ins(X0,s(X1,X2),X3,X4))
| ~ s_t(X0,s(X1,ins(X0,s(X1,X2),X3,X4)),s(X1,X2)) ),
inference(superposition,[status(thm)],[c_482427,c_480792]) ).
tcf(c_519540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X4,X0,ins(X0,X1,X2,X3))
| ~ le(X2,X3,X0,X1)
| ~ s_m(X4,ins(X0,X1,X2,X3),X1)
| ~ s_t(X2,X4,ins(X0,X1,X2,X3))
| ~ s_t(X0,ins(X0,X1,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_486277,c_480792]) ).
tcf(c_519541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,s(X1,X2),X3,s(X1,ins(X3,X2,X0,X4)))
| ~ le(X0,X4,X3,X2)
| ~ s_t(X3,s(X1,ins(X3,X2,X0,X4)),X2)
| ~ s_t(X0,s(X1,X2),ins(X3,X2,X0,X4)) ),
inference(superposition,[status(thm)],[c_491065,c_480792]) ).
tcf(c_519542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X1,X0,s(X1,ins(X0,X1,X2,X3)))
| ~ le(X2,X3,X0,X1)
| ~ s_t(X2,X1,ins(X0,X1,X2,X3))
| ~ s_t(X0,s(X1,ins(X0,X1,X2,X3)),X1) ),
inference(superposition,[status(thm)],[c_482505,c_480792]) ).
tcf(c_519543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,s(ins(X1,X2,X0,X3),X2),X1,ins(X1,X2,X0,X3))
| ~ le(X0,X3,X1,X2)
| ~ s_t(X1,ins(X1,X2,X0,X3),X2)
| ~ s_t(X0,s(ins(X1,X2,X0,X3),X2),ins(X1,X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_482977,c_480792]) ).
tcf(c_519544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X3,X0,ext(X1,X2,X3,ins(X0,X2,X4,X5)))
| ~ le(X4,X5,X0,X2)
| ~ s_t(X4,X3,ins(X0,X2,X4,X5))
| ~ s_t(X0,ext(X1,X2,X3,ins(X0,X2,X4,X5)),X2) ),
inference(superposition,[status(thm)],[c_488568,c_480792]) ).
tcf(c_519545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X1,X2,X4)
| ~ s_t(X2,X4,X1)
| ~ le(X0,X3,X2,X1)
| ~ s_m(ins(X2,X1,X0,X3),X1,X4)
| ~ s_t(X0,X1,ins(X2,X1,X0,X3)) ),
inference(superposition,[status(thm)],[c_486276,c_480792]) ).
tcf(c_519546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ext(X1,ins(X2,X3,X0,X4),X3,X5),X2,X5)
| ~ s_t(X2,X5,X3)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,ext(X1,ins(X2,X3,X0,X4),X3,X5),ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480040,c_480792]) ).
tcf(c_519547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X3,X5,X0,ext(X1,X2,ins(X0,X2,X3,X4),X5))
| ~ le(X3,X4,X0,X2)
| ~ s_t(X3,X5,ins(X0,X2,X3,X4))
| ~ s_t(X0,ext(X1,X2,ins(X0,X2,X3,X4),X5),X2) ),
inference(superposition,[status(thm)],[c_488565,c_480792]) ).
tcf(c_519548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X1,X2,X4)
| ~ s_t(X2,X4,X1)
| ~ le(X0,X3,X2,X1)
| ~ s_m(X4,X1,ins(X2,X1,X0,X3))
| ~ s_t(X0,X1,ins(X2,X1,X0,X3)) ),
inference(superposition,[status(thm)],[c_498465,c_480792]) ).
tcf(c_519549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X4,X0,ins(X0,X1,X2,X3))
| ~ le(X2,X3,X0,X1)
| ~ s_m(X1,ins(X0,X1,X2,X3),X4)
| ~ s_t(X2,X4,ins(X0,X1,X2,X3))
| ~ s_t(X0,ins(X0,X1,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_497526,c_480792]) ).
tcf(c_519672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ext(X4,ins(X1,X2,X0,X3),X5,X1),X5,X2)
| ~ s_t(X5,X1,X2)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),ext(X4,ins(X1,X2,X0,X3),X5,X1)) ),
inference(superposition,[status(thm)],[c_53,c_480793]) ).
tcf(c_519673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X0,ins(X0,X1,X2,X3),X1)
| ~ le(X2,X3,X0,X1)
| ~ s_t(X2,ins(X0,X1,X2,X3),X0)
| ~ s_t(ins(X0,X1,X2,X3),X0,X1) ),
inference(superposition,[status(thm)],[c_61,c_480793]) ).
tcf(c_519674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ins(X1,X2,X0,X3),X1,X2)
| ~ s_t(X1,X1,X2)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),ins(X1,X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_66,c_480793]) ).
tcf(c_519675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ins(X4,X1,ins(X1,X2,X0,X3),X5),X4,X2)
| ~ s_t(X4,X1,X2)
| ~ le(X0,X3,X1,X2)
| ~ le(ins(X1,X2,X0,X3),X5,X4,X1)
| ~ s_t(X0,ins(X1,X2,X0,X3),ins(X4,X1,ins(X1,X2,X0,X3),X5)) ),
inference(superposition,[status(thm)],[c_111,c_480793]) ).
tcf(c_519676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,s(X0,ins(s(X0,X1),X2,X3,X4)),X2)
| ~ le(X3,X4,s(X0,X1),X2)
| ~ s_t(X3,ins(s(X0,X1),X2,X3,X4),X1)
| ~ s_t(s(X0,ins(s(X0,X1),X2,X3,X4)),s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_166,c_480793]) ).
tcf(c_519677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X4,ins(X0,X1,X2,X3),X1)
| ~ le(X2,X3,X0,X1)
| ~ s_m(X4,ins(X0,X1,X2,X3),X0)
| ~ s_t(X2,ins(X0,X1,X2,X3),X4)
| ~ s_t(ins(X0,X1,X2,X3),X0,X1) ),
inference(superposition,[status(thm)],[c_240,c_480793]) ).
tcf(c_519678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,ins(s(X0,X1),X2,X3,X4),X2)
| ~ le(X3,X4,s(X0,X1),X2)
| ~ s_r(ins(s(X0,X1),X2,X3,X4),X0,X1)
| ~ s_t(X3,ins(s(X0,X1),X2,X3,X4),X1)
| ~ s_t(ins(s(X0,X1),X2,X3,X4),s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_249,c_480793]) ).
tcf(c_519679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,s(X0,X1),s(X0,ins(X1,X2,X3,X4)),X2)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X3,ins(X1,X2,X3,X4),s(X0,X1))
| ~ s_t(s(X0,ins(X1,X2,X3,X4)),X1,X2) ),
inference(superposition,[status(thm)],[c_482415,c_480793]) ).
tcf(c_519680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X0,s(X0,ins(X0,X1,X2,X3)),X1)
| ~ le(X2,X3,X0,X1)
| ~ s_t(X2,ins(X0,X1,X2,X3),X0)
| ~ s_t(s(X0,ins(X0,X1,X2,X3)),X0,X1) ),
inference(superposition,[status(thm)],[c_482416,c_480793]) ).
tcf(c_519681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,s(ins(X1,X2,X0,X3),X1),ins(X1,X2,X0,X3),X2)
| ~ le(X0,X3,X1,X2)
| ~ s_t(ins(X1,X2,X0,X3),X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),s(ins(X1,X2,X0,X3),X1)) ),
inference(superposition,[status(thm)],[c_482508,c_480793]) ).
tcf(c_519682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X4,ins(X0,X1,X2,X3),X1)
| ~ le(X2,X3,X0,X1)
| ~ s_m(X0,ins(X0,X1,X2,X3),X4)
| ~ s_t(X2,ins(X0,X1,X2,X3),X4)
| ~ s_t(ins(X0,X1,X2,X3),X0,X1) ),
inference(superposition,[status(thm)],[c_486279,c_480793]) ).
tcf(c_519683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X4,X4,X2)
| ~ s_t(X4,X1,X2)
| ~ le(X0,X3,X1,X2)
| ~ s_m(ins(X1,X2,X0,X3),X4,X1)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_486277,c_480793]) ).
tcf(c_519684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X3,X5,ext(X0,X1,ins(X1,X2,X3,X4),X5),X2)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X3,ins(X1,X2,X3,X4),X5)
| ~ s_t(ext(X0,X1,ins(X1,X2,X3,X4),X5),X1,X2) ),
inference(superposition,[status(thm)],[c_488568,c_480793]) ).
tcf(c_519685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ext(X4,ins(X1,X2,X0,X3),X1,X5),X5,X2)
| ~ s_t(X5,X1,X2)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),ext(X4,ins(X1,X2,X0,X3),X1,X5)) ),
inference(superposition,[status(thm)],[c_479974,c_480793]) ).
tcf(c_519686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X1,X4,X2)
| ~ s_t(X4,X1,X2)
| ~ le(X0,X3,X1,X2)
| ~ s_m(ins(X1,X2,X0,X3),X1,X4)
| ~ s_t(X0,ins(X1,X2,X0,X3),X1) ),
inference(superposition,[status(thm)],[c_486273,c_480793]) ).
tcf(c_519687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X2,ext(X0,X1,X2,ins(X1,X3,X4,X5)),X3)
| ~ le(X4,X5,X1,X3)
| ~ s_t(X4,ins(X1,X3,X4,X5),X2)
| ~ s_t(ext(X0,X1,X2,ins(X1,X3,X4,X5)),X1,X3) ),
inference(superposition,[status(thm)],[c_488565,c_480793]) ).
tcf(c_519688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X1,X4,X2)
| ~ s_t(X4,X1,X2)
| ~ le(X0,X3,X1,X2)
| ~ s_m(X4,X1,ins(X1,X2,X0,X3))
| ~ s_t(X0,ins(X1,X2,X0,X3),X1) ),
inference(superposition,[status(thm)],[c_497176,c_480793]) ).
tcf(c_519689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X4,X4,X2)
| ~ s_t(X4,X1,X2)
| ~ le(X0,X3,X1,X2)
| ~ s_m(X1,X4,ins(X1,X2,X0,X3))
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_497526,c_480793]) ).
tcf(c_519690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X0,ext(X4,ins(X1,X2,X0,X3),X5,X6),X7,X2)
| ~ s_t(X7,X1,X2)
| ~ le(X0,X3,X1,X2)
| ~ s_e(X5,X6,X7,X1)
| ~ s_t(X0,ins(X1,X2,X0,X3),ext(X4,ins(X1,X2,X0,X3),X5,X6)) ),
inference(superposition,[status(thm)],[c_479951,c_480793]) ).
tcf(c_519797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,ext(ext(X0,X1,alpha,gamma),X1,ins(X0,X1,X2,X3),X4),X0)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X2) ),
inference(superposition,[status(thm)],[c_480794,c_504789]) ).
tcf(c_519798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ins(X0,X1,X2,X3),X2,X1)
| ~ s_t(X2,X1,X0)
| ~ le(X2,X3,X0,X1)
| ~ s_t(X0,ins(X0,X1,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_480794,c_480380]) ).
tcf(c_519799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X2,X1,ins(X0,X1,X2,X3))
| ~ le(X2,X3,X0,X1)
| ~ s_t(X1,X0,ins(X0,X1,X2,X3))
| ~ s_t(X0,ins(X0,X1,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_480794,c_480055]) ).
tcf(c_519800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X2,ins(X0,X1,X2,X3),X0)
| ~ le(X2,X3,X0,X1)
| ~ s_t(X1,ins(X0,X1,X2,X3),X2)
| ~ s_t(ins(X0,X1,X2,X3),X1,X0) ),
inference(superposition,[status(thm)],[c_480794,c_479987]) ).
tcf(c_519801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,X2)
| ( ins(X2,X0,X1,X3) = X0 )
| ~ le(X1,X3,X2,X0)
| ~ s_t(X0,ins(X2,X0,X1,X3),X5)
| ~ s_t(ins(X2,X0,X1,X3),X0,X4)
| ~ s_e(X0,X4,ins(X2,X0,X1,X3),X5)
| ~ s_e(X0,X1,ins(X2,X0,X1,X3),X2) ),
inference(superposition,[status(thm)],[c_480794,c_479886]) ).
tcf(c_519802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X4,X7,X5)
| ~ s_t(X1,X7,X0)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X6,X2,X7,X0)
| ~ s_e(X2,X4,X0,X5)
| ~ s_t(ins(X0,X1,X2,X3),X6,X2)
| ~ s_e(ins(X0,X1,X2,X3),X4,X1,X5) ),
inference(superposition,[status(thm)],[c_480794,c_2500]) ).
tcf(c_519803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(ins(X2,X3,X0,X1),X0,X3,X4)
| ~ s_t(X3,X2,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480794,c_233]) ).
tcf(c_519804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(ins(X2,X1,X0,X3),X4,X1)
| s_col(ins(X2,X1,X0,X3),X0,X1)
| ( X0 = X2 )
| ~ s_col(X0,X4,X2)
| ~ le(X0,X3,X2,X1)
| ~ s_col(ins(X2,X1,X0,X3),X4,X1)
| ~ s_e(X0,X1,X2,ins(X2,X1,X0,X3)) ),
inference(superposition,[status(thm)],[c_480794,c_175]) ).
tcf(c_519805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X4,X0,X5)
| ~ sameside(X0,X1,X5)
| ~ le(X2,X3,X0,X1)
| ~ sameside(X2,ins(X0,X1,X2,X3),X4)
| ~ s_e(ins(X0,X1,X2,X3),X4,X1,X5) ),
inference(superposition,[status(thm)],[c_480794,c_154]) ).
tcf(c_519806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X4 )
| ( X0 = X1 )
| ( ins(X0,X1,X2,X3) = X5 )
| ~ le(X2,X3,X0,X1)
| ~ sameside(X4,ins(X0,X1,X2,X3),X5)
| ~ sameside(X2,ins(X0,X1,X2,X3),X5)
| ~ s_e(ins(X0,X1,X2,X3),X4,X1,X0) ),
inference(superposition,[status(thm)],[c_480794,c_140]) ).
tcf(c_519807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X1,X0,X6,X7)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X4,X5,X6,X7)
| ~ le(ins(X0,X1,X2,X3),X2,X4,X5) ),
inference(superposition,[status(thm)],[c_480794,c_114]) ).
tcf(c_519808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(ins(X0,X1,X2,X3),X4,X1,X0)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X2) ),
inference(superposition,[status(thm)],[c_480794,c_113]) ).
tcf(c_519809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(ext(X0,X1,alpha,gamma),X1,ins(X0,X1,X2,X3),X4),X0)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X2) ),
inference(superposition,[status(thm)],[c_480794,c_91]) ).
tcf(c_519810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(ins(X0,X1,X2,X3),X4,X1,X5)
| ~ s_t(X1,X5,X0)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X4,X2,X5,X0)
| ~ s_t(ins(X0,X1,X2,X3),X4,X2) ),
inference(superposition,[status(thm)],[c_480794,c_90]) ).
tcf(c_519811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(ins(X0,X1,X2,X3),X4,X5,X0)
| ~ s_t(X5,X1,X0)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X4,X5,X1)
| ~ s_t(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_480794,c_71]) ).
tcf(c_519813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ins(X1,X2,X3,X4) = X0 )
| ( ext(X0,ins(X1,X2,X3,X4),X2,X1) = X3 )
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X3) ),
inference(superposition,[status(thm)],[c_480794,c_68]) ).
tcf(c_519814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(ins(X0,X1,X2,X3),X4,X1,X5)
| ~ s_t(X1,X0,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X4,X0,X5)
| ~ s_t(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_480794,c_67]) ).
tcf(c_519817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(ins(X1,X0,X4,X5),X4,X2,X3)
| ~ le(X4,X5,X1,X0)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480794,c_63]) ).
tcf(c_519818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X2,ins(X2,X3,X0,X1),X0)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480794,c_62]) ).
tcf(c_519819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X4,X7,X5)
| ( ins(X0,X1,X2,X3) = X2 )
| ~ s_t(X1,X0,X7)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X6,X0,X7)
| ~ s_e(X2,X4,X0,X5)
| ~ s_t(ins(X0,X1,X2,X3),X2,X6)
| ~ s_e(ins(X0,X1,X2,X3),X4,X1,X5) ),
inference(superposition,[status(thm)],[c_480794,c_54]) ).
tcf(c_519820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X1,X0,X4,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_e(ins(X0,X1,X2,X3),X2,X4,X5) ),
inference(superposition,[status(thm)],[c_480794,c_50]) ).
tcf(c_519822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ins(X1,X2,X1,X3),X0,X2)
| ~ s_t(X0,X2,X1)
| ~ le(X1,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X1,X3),X1) ),
inference(superposition,[status(thm)],[c_480794,c_480382]) ).
tcf(c_519823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X0,X2,X2)
| ~ s_t(X2,X1,X2)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X0) ),
inference(superposition,[status(thm)],[c_480794,c_480793]) ).
tcf(c_519824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ins(X1,X2,ext(X3,X0,X4,X1),X5),X4,X2)
| ~ s_t(X4,X2,X1)
| ~ le(ext(X3,X0,X4,X1),X5,X1,X2)
| ~ s_t(X0,ins(X1,X2,ext(X3,X0,X4,X1),X5),ext(X3,X0,X4,X1)) ),
inference(superposition,[status(thm)],[c_480794,c_480381]) ).
tcf(c_519825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ins(X1,X2,ins(X3,X1,X0,X4),X5),X3,X2)
| ~ s_t(X3,X2,X1)
| ~ le(X0,X4,X3,X1)
| ~ le(ins(X3,X1,X0,X4),X5,X1,X2)
| ~ s_t(X0,ins(X1,X2,ins(X3,X1,X0,X4),X5),ins(X3,X1,X0,X4)) ),
inference(superposition,[status(thm)],[c_480794,c_480792]) ).
tcf(c_520000,plain,
! [X0: $i,X1: $i] : s_col(s(X0,X1),X0,s(X1,s(X0,X1))),
inference(superposition,[status(thm)],[c_161,c_517629]) ).
tcf(c_520003,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(s(X1,X0),X0) = X1 )
| ~ s_r(X0,X1,s(s(X1,X0),X0)) ),
inference(superposition,[status(thm)],[c_517629,c_187]) ).
tcf(c_520004,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(s(s(X0,X1),X1),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517629,c_181]) ).
tcf(c_520005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(s(X2,X3),X3) = X4 )
| ~ s_col(X3,X2,X5)
| ~ s_col(X3,X2,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,s(s(X2,X3),X3)) ),
inference(superposition,[status(thm)],[c_517629,c_152]) ).
tcf(c_520006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(s(X1,X0),X0),X2,X3)
| ( X0 = X1 )
| ( s(s(X1,X0),X0) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517629,c_151]) ).
tcf(c_520007,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X1,X0),X0),X2)
| ( X0 = X1 )
| ( s(s(X1,X0),X0) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517629,c_148]) ).
tcf(c_520014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X1,X0,X2,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = X2 )
| ~ s_col(X4,X5,X3)
| ~ s_col(X4,X5,X2)
| ~ s_col(X1,X0,X2)
| ~ s_r(s(s(X0,X1),X1),X2,X3) ),
inference(superposition,[status(thm)],[c_517629,c_200]) ).
tcf(c_520047,plain,
! [X0: $i,X1: $i] : s_t(s(X0,s(X1,X0)),X1,s(X1,X0)),
inference(superposition,[status(thm)],[c_161,c_517647]) ).
tcf(c_520049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(s(s(X0,X1),X1),X0,X1,X3,X0,X2) = X0 )
| ~ s_t(X3,X0,X1)
| ~ s_t(s(s(X0,X1),X1),X2,X3) ),
inference(superposition,[status(thm)],[c_517647,c_480316]) ).
tcf(c_520050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(s(s(X0,X1),X1),X0,X1,X2,X3,X1) = X1 )
| ~ s_t(X2,X3,X1)
| ~ s_t(s(s(X0,X1),X1),X1,X2) ),
inference(superposition,[status(thm)],[c_517647,c_480254]) ).
tcf(c_520051,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0,X1),X1) = X0 )
| ( ext(s(s(X0,X1),X1),X0,X0,X1) = X1 ) ),
inference(superposition,[status(thm)],[c_517647,c_480013]) ).
tcf(c_520052,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0,X1),X1) = X0 )
| ( ext(s(s(X0,X1),X1),X0,X1,X0) = X1 ) ),
inference(superposition,[status(thm)],[c_517647,c_480011]) ).
tcf(c_520053,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(s(s(X1,X2),X2),X1,X2,X0,s(s(X1,X2),X2)) = s(s(X1,X2),X2) )
| ~ s_t(X0,s(s(X1,X2),X2),X2) ),
inference(superposition,[status(thm)],[c_517647,c_479924]) ).
tcf(c_520054,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(s(s(X0,X2),X2),X0,X2,X0,X1) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517647,c_479914]) ).
tcf(c_520055,plain,
! [X0: $i,X1: $i] :
( sameside(X1,s(s(X0,X1),X1),X0)
| ( s(s(X0,X1),X1) = X1 )
| ( s(s(X0,X1),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_517647,c_238]) ).
tcf(c_520056,plain,
! [X0: $i,X1: $i] :
( sameside(X0,s(s(X0,X1),X1),X1)
| ( s(s(X0,X1),X1) = xb )
| ( s(s(X0,X1),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_517647,c_237]) ).
tcf(c_520061,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,s(s(X1,X2),X2),X2)
| s_t(s(s(X1,X2),X2),X0,X2)
| ( X1 = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517647,c_147]) ).
tcf(c_520062,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,s(s(X1,X2),X2))
| ( X1 = X2 )
| ( s(s(X1,X2),X2) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517647,c_145]) ).
tcf(c_520063,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,s(s(X1,X2),X2))
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(s(X1,X2),X2) = X1 )
| ~ s_col(X0,X1,s(s(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_517647,c_143]) ).
tcf(c_520064,plain,
! [X0: $i,X1: $i] : ~ sameside(s(s(X0,X1),X1),X0,X1),
inference(superposition,[status(thm)],[c_517647,c_133]) ).
tcf(c_520065,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(s(s(X1,X2),X2),X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(s(X1,X2),X2) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517647,c_131]) ).
tcf(c_520066,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,X1)
| ( X0 = X2 )
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = X0 )
| ~ sameside(s(s(X0,X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_517647,c_125]) ).
tcf(c_520067,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(s(X0,X1),X1),X2,X0)
| s_t(s(s(X0,X1),X1),X0,X2)
| ~ s_t(s(s(X0,X1),X1),X2,X1) ),
inference(superposition,[status(thm)],[c_517647,c_109]) ).
tcf(c_520068,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,X1)
| s_t(X0,X1,X2)
| ( s(s(X0,X1),X1) = X0 )
| ~ s_t(s(s(X0,X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_517647,c_108]) ).
tcf(c_520069,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(s(X0,X1),X1),X2,X1)
| s_t(s(s(X0,X1),X1),X1,X2)
| ( s(s(X0,X1),X1) = X0 )
| ~ s_t(s(s(X0,X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_517647,c_107]) ).
tcf(c_520070,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(s(X0,X1),X1),X0,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517647,c_81]) ).
tcf(c_520071,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(s(X0,X1),X1),X0,X2)
| ~ s_t(s(s(X0,X1),X1),X1,X2) ),
inference(superposition,[status(thm)],[c_517647,c_80]) ).
tcf(c_520072,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(s(X0,X2),X2),X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517647,c_79]) ).
tcf(c_520073,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(s(X0,X1),X1),X1,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517647,c_78]) ).
tcf(c_520074,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,X2)
| ~ s_t(s(s(X0,X1),X1),X1,X2) ),
inference(superposition,[status(thm)],[c_517647,c_77]) ).
tcf(c_520075,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(s(X0,X2),X2),X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517647,c_76]) ).
tcf(c_520076,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0,X1),X1) = X0 )
| ~ s_t(X0,s(s(X0,X1),X1),X1) ),
inference(superposition,[status(thm)],[c_517647,c_75]) ).
tcf(c_520078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)) = X0 )
| ( ext(s(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)),X0,X2,X3) = ext(X1,X0,X2,X3) ) ),
inference(superposition,[status(thm)],[c_517647,c_480012]) ).
tcf(c_520205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ext(ins(X2,X3,X0,X1),X0,X4,X5) = X0 )
| ( ext(ext(ins(X2,X3,X0,X1),X0,X4,X5),X0,X2,X3) = ins(X2,X3,X0,X1) )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480073,c_480795]) ).
tcf(c_520206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X0,ins(X2,X3,X0,X1)) = X0 )
| ( ext(s(X0,ins(X2,X3,X0,X1)),X0,X2,X3) = ins(X2,X3,X0,X1) )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_485941,c_480795]) ).
tcf(c_520207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ins(X2,X3,ins(X4,X5,X0,X1),X6),ins(X4,X5,X0,X1))
| ( X0 = X1 )
| ( ins(X4,X5,X0,X1) = X0 )
| ( ext(X0,ins(X4,X5,X0,X1),X2,X3) = ins(X2,X3,ins(X4,X5,X0,X1),X6) )
| ~ le(X0,X1,X4,X5)
| ~ le(ins(X4,X5,X0,X1),X6,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ins(X4,X5,X0,X1),X6)) ),
inference(superposition,[status(thm)],[c_480739,c_480795]) ).
tcf(c_520208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,ins(X2,X3,X0,X1),X0)
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = ins(X2,X3,X0,X1) )
| ~ s_t(X0,X1,X0)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_480795]) ).
tcf(c_520210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ins(X2,X3,ins(X4,X5,X0,X1),X6),ins(X4,X5,X0,X1))
| ( X0 = X1 )
| ( ins(X4,X5,X0,X1) = X1 )
| ( ext(X1,ins(X4,X5,X0,X1),X2,X3) = ins(X2,X3,ins(X4,X5,X0,X1),X6) )
| ~ le(X0,X1,X4,X5)
| ~ le(ins(X4,X5,X0,X1),X6,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ins(X4,X5,X0,X1),X6)) ),
inference(superposition,[status(thm)],[c_480738,c_480795]) ).
tcf(c_520211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ins(X4,X5,ins(X0,X1,X2,X3),X2) = X2 )
| ( ext(ins(X4,X5,ins(X0,X1,X2,X3),X2),X2,X0,X1) = ins(X0,X1,X2,X3) )
| ~ le(X2,X3,X0,X1)
| ~ le(ins(X0,X1,X2,X3),X2,X4,X5) ),
inference(superposition,[status(thm)],[c_480747,c_480795]) ).
tcf(c_520212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,ins(X1,X2,ip(X3,X0,X4,X5,X6),X7),ip(X3,X0,X4,X5,X6))
| ( ip(X3,X0,X4,X5,X6) = X0 )
| ( ext(X0,ip(X3,X0,X4,X5,X6),X1,X2) = ins(X1,X2,ip(X3,X0,X4,X5,X6),X7) )
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X0,X4)
| ~ le(ip(X3,X0,X4,X5,X6),X7,X1,X2)
| ~ s_t(X0,ins(X1,X2,ip(X3,X0,X4,X5,X6),X7),X5) ),
inference(superposition,[status(thm)],[c_480702,c_480795]) ).
tcf(c_520213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( ip(X4,X0,X5,X1,X6) = X0 )
| ( ext(X0,ip(X4,X0,X5,X1,X6),X2,X3) = ins(X2,X3,ip(X4,X0,X5,X1,X6),X7) )
| ~ s_t(X4,X0,X5)
| ~ s_t(X1,X6,X5)
| ~ le(ip(X4,X0,X5,X1,X6),X7,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ip(X4,X0,X5,X1,X6),X7)) ),
inference(superposition,[status(thm)],[c_480205,c_480795]) ).
tcf(c_520214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( ip(X5,X0,X6,X1,X7) = X1 )
| ( ext(ip(X5,X0,X6,X1,X7),X1,X2,X3) = ins(X2,X3,X1,X4) )
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X7,X6)
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480135,c_480795]) ).
tcf(c_520215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,ins(X1,X2,ip(X3,X4,X5,X6,X0),X7),ip(X3,X4,X5,X6,X0))
| ( ip(X3,X4,X5,X6,X0) = X0 )
| ( ext(X0,ip(X3,X4,X5,X6,X0),X1,X2) = ins(X1,X2,ip(X3,X4,X5,X6,X0),X7) )
| ~ s_t(X6,X0,X5)
| ~ s_t(X3,X4,X5)
| ~ le(ip(X3,X4,X5,X6,X0),X7,X1,X2)
| ~ s_t(X0,ins(X1,X2,ip(X3,X4,X5,X6,X0),X7),X3) ),
inference(superposition,[status(thm)],[c_480703,c_480795]) ).
tcf(c_520216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( ip(X1,X4,X5,X6,X0) = X0 )
| ( ext(X0,ip(X1,X4,X5,X6,X0),X2,X3) = ins(X2,X3,ip(X1,X4,X5,X6,X0),X7) )
| ~ s_t(X6,X0,X5)
| ~ s_t(X1,X4,X5)
| ~ le(ip(X1,X4,X5,X6,X0),X7,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ip(X1,X4,X5,X6,X0),X7)) ),
inference(superposition,[status(thm)],[c_480206,c_480795]) ).
tcf(c_520217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( ip(X1,X5,X6,X7,X0) = X1 )
| ( ext(ip(X1,X5,X6,X7,X0),X1,X2,X3) = ins(X2,X3,X1,X4) )
| ~ s_t(X7,X0,X6)
| ~ s_t(X1,X5,X6)
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480136,c_480795]) ).
tcf(c_520218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ins(X2,X3,ext(X0,X1,X4,X5),X6),ext(X0,X1,X4,X5))
| ( X0 = X1 )
| ( ext(X0,X1,X4,X5) = X0 )
| ( ext(X0,ext(X0,X1,X4,X5),X2,X3) = ins(X2,X3,ext(X0,X1,X4,X5),X6) )
| ~ le(ext(X0,X1,X4,X5),X6,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ext(X0,X1,X4,X5),X6)) ),
inference(superposition,[status(thm)],[c_480599,c_480795]) ).
tcf(c_520219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ins(X2,X3,ext(X0,X1,X4,X5),X6),ext(X0,X1,X4,X5))
| ( X0 = X1 )
| ( ext(X0,X1,X4,X5) = X1 )
| ( ext(X1,ext(X0,X1,X4,X5),X2,X3) = ins(X2,X3,ext(X0,X1,X4,X5),X6) )
| ~ le(ext(X0,X1,X4,X5),X6,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ext(X0,X1,X4,X5),X6)) ),
inference(superposition,[status(thm)],[c_480646,c_480795]) ).
tcf(c_520220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,ins(X1,X2,crossbar(X3,X4,X5,X6,X7,X0),X8),crossbar(X3,X4,X5,X6,X7,X0))
| ( crossbar(X3,X4,X5,X6,X7,X0) = X0 )
| ( ext(X0,crossbar(X3,X4,X5,X6,X7,X0),X1,X2) = ins(X1,X2,crossbar(X3,X4,X5,X6,X7,X0),X8) )
| ~ s_t(X6,X7,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X3,X0,X6)
| ~ le(crossbar(X3,X4,X5,X6,X7,X0),X8,X1,X2)
| ~ s_t(X0,ins(X1,X2,crossbar(X3,X4,X5,X6,X7,X0),X8),X5) ),
inference(superposition,[status(thm)],[c_480706,c_480795]) ).
tcf(c_520221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( crossbar(X4,X5,X1,X6,X7,X0) = X0 )
| ( ext(X0,crossbar(X4,X5,X1,X6,X7,X0),X2,X3) = ins(X2,X3,crossbar(X4,X5,X1,X6,X7,X0),X8) )
| ~ s_t(X6,X7,X1)
| ~ s_t(X4,X5,X1)
| ~ s_t(X4,X0,X6)
| ~ le(crossbar(X4,X5,X1,X6,X7,X0),X8,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,crossbar(X4,X5,X1,X6,X7,X0),X8)) ),
inference(superposition,[status(thm)],[c_480256,c_480795]) ).
tcf(c_520222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( crossbar(X5,X6,X1,X7,X8,X0) = X1 )
| ( ext(crossbar(X5,X6,X1,X7,X8,X0),X1,X2,X3) = ins(X2,X3,X1,X4) )
| ~ s_t(X7,X8,X1)
| ~ s_t(X5,X6,X1)
| ~ s_t(X5,X0,X7)
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480259,c_480795]) ).
tcf(c_520223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( crossbar(X4,X0,X5,X6,X1,X7) = X0 )
| ( ext(X0,crossbar(X4,X0,X5,X6,X1,X7),X2,X3) = ins(X2,X3,crossbar(X4,X0,X5,X6,X1,X7),X8) )
| ~ s_t(X6,X1,X5)
| ~ s_t(X4,X7,X6)
| ~ s_t(X4,X0,X5)
| ~ le(crossbar(X4,X0,X5,X6,X1,X7),X8,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,crossbar(X4,X0,X5,X6,X1,X7),X8)) ),
inference(superposition,[status(thm)],[c_480318,c_480795]) ).
tcf(c_520224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( ( crossbar(X5,X0,X6,X8,X1,X7) = X1 )
| ( ext(crossbar(X5,X0,X6,X8,X1,X7),X1,X2,X3) = ins(X2,X3,X1,X4) )
| ~ s_t(X8,X1,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480321,c_480795]) ).
tcf(c_520225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X0,ins(X1,X2,crossbar(X3,X0,X4,X5,X6,X7),X8),crossbar(X3,X0,X4,X5,X6,X7))
| ( crossbar(X3,X0,X4,X5,X6,X7) = X0 )
| ( ext(X0,crossbar(X3,X0,X4,X5,X6,X7),X1,X2) = ins(X1,X2,crossbar(X3,X0,X4,X5,X6,X7),X8) )
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X7,X5)
| ~ s_t(X3,X0,X4)
| ~ le(crossbar(X3,X0,X4,X5,X6,X7),X8,X1,X2)
| ~ s_t(X0,ins(X1,X2,crossbar(X3,X0,X4,X5,X6,X7),X8),X6) ),
inference(superposition,[status(thm)],[c_480707,c_480795]) ).
tcf(c_520226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(s(X0,ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1)) = X0 )
| ( ext(s(s(X0,ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1)),X0,X2,X3) = ins(X2,X3,X0,X1) )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_517647,c_480795]) ).
tcf(c_520227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( s(ext(ins(X2,X3,X0,X1),X0,X4,X5),ins(X2,X3,X0,X1)) = X0 )
| ( ext(s(ext(ins(X2,X3,X0,X1),X0,X4,X5),ins(X2,X3,X0,X1)),X0,X2,X3) = ins(X2,X3,X0,X1) )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_499667,c_480795]) ).
tcf(c_520423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X2,X1,ins(X1,X2,X0,X3))
| ~ le(X0,X3,X1,X2)
| ~ s_t(X1,X2,ins(X1,X2,X0,X3))
| ~ s_t(X0,ins(X1,X2,X0,X3),X2) ),
inference(superposition,[status(thm)],[c_49,c_480796]) ).
tcf(c_520424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ext(X4,ins(X1,X2,X0,X3),X2,X5),X1,X5)
| ~ s_t(X1,X2,X5)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),ext(X4,ins(X1,X2,X0,X3),X2,X5)) ),
inference(superposition,[status(thm)],[c_53,c_480796]) ).
tcf(c_520426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ins(X2,X4,ins(X1,X2,X0,X3),X5),X1,X4)
| ~ s_t(X1,X2,X4)
| ~ le(X0,X3,X1,X2)
| ~ le(ins(X1,X2,X0,X3),X5,X2,X4)
| ~ s_t(X0,ins(X1,X2,X0,X3),ins(X2,X4,ins(X1,X2,X0,X3),X5)) ),
inference(superposition,[status(thm)],[c_111,c_480796]) ).
tcf(c_520427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X3,X5,X0,ext(X2,X1,ins(X0,X1,X3,X4),X5))
| ~ le(X3,X4,X0,X1)
| ~ s_t(X3,ins(X0,X1,X3,X4),X5)
| ~ s_t(X0,X1,ext(X2,X1,ins(X0,X1,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_479942,c_480796]) ).
tcf(c_520428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X2,X0,s(X1,ins(X0,s(X1,X2),X3,X4)))
| ~ le(X3,X4,X0,s(X1,X2))
| ~ s_t(X3,ins(X0,s(X1,X2),X3,X4),X2)
| ~ s_t(X0,s(X1,X2),s(X1,ins(X0,s(X1,X2),X3,X4))) ),
inference(superposition,[status(thm)],[c_482427,c_480796]) ).
tcf(c_520429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X2,X1,X4)
| ~ s_t(X1,X2,X4)
| ~ le(X0,X3,X1,X2)
| ~ s_m(ins(X1,X2,X0,X3),X2,X4)
| ~ s_t(X0,ins(X1,X2,X0,X3),X2) ),
inference(superposition,[status(thm)],[c_486277,c_480796]) ).
tcf(c_520430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,s(X4,X2),X1,s(X4,ins(X1,X2,X0,X3)))
| ~ le(X0,X3,X1,X2)
| ~ s_t(X1,X2,s(X4,ins(X1,X2,X0,X3)))
| ~ s_t(X0,ins(X1,X2,X0,X3),s(X4,X2)) ),
inference(superposition,[status(thm)],[c_491066,c_480796]) ).
tcf(c_520431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X1,X0,s(X1,ins(X0,X1,X2,X3)))
| ~ le(X2,X3,X0,X1)
| ~ s_t(X2,ins(X0,X1,X2,X3),X1)
| ~ s_t(X0,X1,s(X1,ins(X0,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_482506,c_480796]) ).
tcf(c_520432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,s(ins(X1,X2,X0,X3),X2),X1,ins(X1,X2,X0,X3))
| ~ le(X0,X3,X1,X2)
| ~ s_t(X1,X2,ins(X1,X2,X0,X3))
| ~ s_t(X0,ins(X1,X2,X0,X3),s(ins(X1,X2,X0,X3),X2)) ),
inference(superposition,[status(thm)],[c_482962,c_480796]) ).
tcf(c_520433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X3,X0,ext(X2,X1,X3,ins(X0,X1,X4,X5)))
| ~ le(X4,X5,X0,X1)
| ~ s_t(X4,ins(X0,X1,X4,X5),X3)
| ~ s_t(X0,X1,ext(X2,X1,X3,ins(X0,X1,X4,X5))) ),
inference(superposition,[status(thm)],[c_488569,c_480796]) ).
tcf(c_520434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ext(X4,ins(X1,X2,X0,X3),X5,X2),X1,X5)
| ~ s_t(X1,X2,X5)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),ext(X4,ins(X1,X2,X0,X3),X5,X2)) ),
inference(superposition,[status(thm)],[c_479974,c_480796]) ).
tcf(c_520435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X4,X0,ins(X0,X1,X2,X3))
| ~ le(X2,X3,X0,X1)
| ~ s_m(X4,ins(X0,X1,X2,X3),X1)
| ~ s_t(X2,ins(X0,X1,X2,X3),X4)
| ~ s_t(X0,X1,ins(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_486276,c_480796]) ).
tcf(c_520436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X4,X1,X4)
| ~ s_t(X1,X2,X4)
| ~ le(X0,X3,X1,X2)
| ~ s_m(ins(X1,X2,X0,X3),X4,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_486273,c_480796]) ).
tcf(c_520437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X4,X1,X4)
| ~ s_t(X1,X2,X4)
| ~ le(X0,X3,X1,X2)
| ~ s_m(X2,X4,ins(X1,X2,X0,X3))
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_497176,c_480796]) ).
tcf(c_520438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X4,X0,ins(X0,X1,X2,X3))
| ~ le(X2,X3,X0,X1)
| ~ s_m(X1,ins(X0,X1,X2,X3),X4)
| ~ s_t(X2,ins(X0,X1,X2,X3),X4)
| ~ s_t(X0,X1,ins(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_498465,c_480796]) ).
tcf(c_520439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X2,X1,X4)
| ~ s_t(X1,X2,X4)
| ~ le(X0,X3,X1,X2)
| ~ s_m(X4,X2,ins(X1,X2,X0,X3))
| ~ s_t(X0,ins(X1,X2,X0,X3),X2) ),
inference(superposition,[status(thm)],[c_497526,c_480796]) ).
tcf(c_520441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X0,ext(X4,ins(X1,X2,X0,X3),X5,X6),X1,X7)
| ~ s_t(X1,X2,X7)
| ~ le(X0,X3,X1,X2)
| ~ s_e(X5,X6,X2,X7)
| ~ s_t(X0,ins(X1,X2,X0,X3),ext(X4,ins(X1,X2,X0,X3),X5,X6)) ),
inference(superposition,[status(thm)],[c_479951,c_480796]) ).
tcf(c_520577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,ext(ext(X2,X3,alpha,gamma),X3,X0,X1),X2)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480797,c_504789]) ).
tcf(c_520578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X2,ins(X0,X1,X2,X3),X1)
| ~ le(X2,X3,X0,X1)
| ~ s_t(X0,X2,ins(X0,X1,X2,X3))
| ~ s_t(ins(X0,X1,X2,X3),X1,X0) ),
inference(superposition,[status(thm)],[c_480797,c_480380]) ).
tcf(c_520579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ins(X0,X2,X1,X3),X2,X1)
| ~ s_t(X2,X0,X1)
| ~ le(X1,X3,X0,X2)
| ~ s_t(X0,X1,ins(X0,X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480797,c_480055]) ).
tcf(c_520580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ins(X2,X0,X1,X3),X1,X2)
| ~ s_t(X1,X0,X2)
| ~ le(X1,X3,X2,X0)
| ~ s_t(X0,X1,ins(X2,X0,X1,X3)) ),
inference(superposition,[status(thm)],[c_480797,c_479987]) ).
tcf(c_520581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,ins(X1,X0,X2,X3),X5,X1)
| ( X0 = X2 )
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,X2,X5)
| ~ le(X2,X3,X1,X0)
| ~ s_e(X0,X4,X2,X5)
| ~ s_e(X0,ins(X1,X0,X2,X3),X2,X1) ),
inference(superposition,[status(thm)],[c_480797,c_479886]) ).
tcf(c_520582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X4,X7,X5)
| ~ s_t(X1,X7,X0)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X4,X1,X5)
| ~ s_t(X2,X6,ins(X0,X1,X2,X3))
| ~ s_e(X6,ins(X0,X1,X2,X3),X7,X0)
| ~ s_e(ins(X0,X1,X2,X3),X4,X0,X5) ),
inference(superposition,[status(thm)],[c_480797,c_2500]) ).
tcf(c_520583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,ins(X2,X3,X0,X1),X3,X4)
| ~ s_t(X3,X2,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480797,c_233]) ).
tcf(c_520584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(X2,X4,X1)
| s_col(X2,ins(X0,X1,X2,X3),X1)
| ( ins(X0,X1,X2,X3) = X0 )
| ~ s_col(X2,X4,X1)
| ~ le(X2,X3,X0,X1)
| ~ s_col(ins(X0,X1,X2,X3),X4,X0)
| ~ s_e(ins(X0,X1,X2,X3),X1,X0,X2) ),
inference(superposition,[status(thm)],[c_480797,c_175]) ).
tcf(c_520585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(ins(X0,X1,X2,X3),X4,X0,X5)
| ~ sameside(X0,X1,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X4,X1,X5)
| ~ sameside(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_480797,c_154]) ).
tcf(c_520586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X4 )
| ( X0 = X1 )
| ( ins(X0,X1,X2,X3) = X5 )
| ~ sameside(X5,X2,X4)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X5,X1,X0)
| ~ sameside(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_480797,c_140]) ).
tcf(c_520587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X2,X1,X6,X7)
| ~ le(X0,X3,X1,X2)
| ~ s_e(X4,X5,X6,X7)
| ~ le(X0,ins(X1,X2,X0,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480797,c_114]) ).
tcf(c_520588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,X3,X2)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480797,c_113]) ).
tcf(c_520589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,ext(ext(X2,X3,alpha,gamma),X3,X0,X1),X2)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480797,c_91]) ).
tcf(c_520590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X3,X0,X2,X5)
| ~ s_t(X2,X5,X1)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X3,X0,ins(X1,X2,X3,X4))
| ~ s_e(X0,ins(X1,X2,X3,X4),X5,X1) ),
inference(superposition,[status(thm)],[c_480797,c_90]) ).
tcf(c_520591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X4,X5,X0)
| ~ s_t(X5,X1,X0)
| ~ le(X2,X3,X0,X1)
| ~ s_t(X2,ins(X0,X1,X2,X3),X4)
| ~ s_e(ins(X0,X1,X2,X3),X4,X5,X1) ),
inference(superposition,[status(thm)],[c_480797,c_71]) ).
tcf(c_520593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X3,X2) = ins(X2,X3,X1,X4) )
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480797,c_68]) ).
tcf(c_520594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X4,X1,X5)
| ~ s_t(X1,X0,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_t(X2,ins(X0,X1,X2,X3),X4)
| ~ s_e(ins(X0,X1,X2,X3),X4,X0,X5) ),
inference(superposition,[status(thm)],[c_480797,c_67]) ).
tcf(c_520597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,ins(X1,X0,X4,X5),X2,X3)
| ~ le(X4,X5,X1,X0)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480797,c_63]) ).
tcf(c_520598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X2,X0,ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480797,c_62]) ).
tcf(c_520599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X4,X7,X5)
| ( ins(X0,X1,X2,X3) = X2 )
| ~ s_t(X1,X0,X7)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X4,X1,X5)
| ~ s_t(X2,ins(X0,X1,X2,X3),X6)
| ~ s_e(ins(X0,X1,X2,X3),X6,X0,X7)
| ~ s_e(ins(X0,X1,X2,X3),X4,X0,X5) ),
inference(superposition,[status(thm)],[c_480797,c_54]) ).
tcf(c_520600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X1,X4,X5)
| ~ le(X0,X3,X1,X2)
| ~ s_e(X0,ins(X1,X2,X0,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480797,c_50]) ).
tcf(c_520602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X1,X4)
| ~ s_m(X0,X6,X5)
| ~ s_t(X5,X1,X2)
| ~ le(X1,X3,X2,X1)
| ~ s_e(X1,X0,X1,X5)
| ~ s_m(ins(X2,X1,X1,X3),X4,X2)
| ~ s_t(X0,X1,ins(X2,X1,X1,X3)) ),
inference(superposition,[status(thm)],[c_480797,c_178]) ).
tcf(c_520603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ins(X2,X1,X1,X3),X0,X2)
| ~ s_t(X0,X1,X2)
| ~ le(X1,X3,X2,X1)
| ~ s_t(X0,X1,ins(X2,X1,X1,X3)) ),
inference(superposition,[status(thm)],[c_480797,c_479989]) ).
tcf(c_520604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,ins(X1,X2,X2,X3),X5,X1)
| ( X0 = X2 )
| ~ s_t(X2,X0,X5)
| ~ s_t(X2,X0,X4)
| ~ le(X2,X3,X1,X2)
| ~ s_e(X0,X4,X0,X5)
| ~ s_e(X0,ins(X1,X2,X2,X3),X0,X1) ),
inference(superposition,[status(thm)],[c_480797,c_479928]) ).
tcf(c_520605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ins(X1,X2,X2,X3) = X1 )
| ~ le(X2,X3,X1,X2)
| ~ s_m(X1,X0,ins(X1,X2,X2,X3))
| ~ s_t(X0,ins(X1,X2,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_480797,c_297643]) ).
tcf(c_520606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ins(X1,X2,X2,X3) = X1 )
| ~ le(X2,X3,X1,X2)
| ~ s_m(ins(X1,X2,X2,X3),X0,X1)
| ~ s_t(X0,ins(X1,X2,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_480797,c_297638]) ).
tcf(c_520607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,ins(X0,X2,X2,X3),X4,X0)
| ( X1 = X2 )
| ~ s_col(X1,X2,X4)
| ~ le(X2,X3,X0,X2)
| ~ s_m(X0,X1,ins(X0,X2,X2,X3)) ),
inference(superposition,[status(thm)],[c_480797,c_86598]) ).
tcf(c_520608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,ins(X0,X1,X1,X2),X4,X0)
| ( X1 = X3 )
| ~ s_col(X3,X1,X4)
| ~ le(X1,X2,X0,X1)
| ~ s_m(ins(X0,X1,X1,X2),X3,X0) ),
inference(superposition,[status(thm)],[c_480797,c_86593]) ).
tcf(c_520609,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(ins(X0,X1,X1,X2),X1,X0)
| ~ le(X1,X2,X0,X1)
| ~ s_t(ins(X0,X1,X1,X2),X1,X0) ),
inference(superposition,[status(thm)],[c_480797,c_241]) ).
tcf(c_520610,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(ins(X2,X0,X0,X1),isomidpoint(ins(X2,X0,X0,X1),X2,X0),X2)
| ~ le(X0,X1,X2,X0) ),
inference(superposition,[status(thm)],[c_480797,c_179]) ).
tcf(c_520611,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(ins(X0,X1,X1,X2),X1,X0)
| ( ins(X0,X1,X1,X2) = X0 )
| ~ le(X1,X2,X0,X1)
| ~ s_col(ins(X0,X1,X1,X2),X1,X0) ),
inference(superposition,[status(thm)],[c_480797,c_174]) ).
tcf(c_520612,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ins(X1,X0,X0,X2) = X1 )
| ~ le(X0,X2,X1,X0)
| ~ s_t(X0,X1,ins(X1,X0,X0,X2)) ),
inference(superposition,[status(thm)],[c_480797,c_122]) ).
tcf(c_520613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ins(X1,X2,X2,X3) = X1 )
| ~ le(X2,X3,X1,X2)
| ~ s_t(X2,ins(X1,X2,X2,X3),X0)
| ~ s_e(X0,ins(X1,X2,X2,X3),X0,X1) ),
inference(superposition,[status(thm)],[c_480797,c_106]) ).
tcf(c_520614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( ins(X1,X2,X2,X3) = X1 )
| ~ le(X2,X3,X1,X2)
| ~ s_col(X2,X0,ins(X1,X2,X2,X3))
| ~ s_e(X0,ins(X1,X2,X2,X3),X0,X1) ),
inference(superposition,[status(thm)],[c_480797,c_105]) ).
tcf(c_520615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,ins(X1,X2,X2,X3),X4,X1)
| ( X0 = X2 )
| ~ s_col(X2,X0,X4)
| ~ le(X2,X3,X1,X2)
| ~ s_e(X0,ins(X1,X2,X2,X3),X0,X1) ),
inference(superposition,[status(thm)],[c_480797,c_104]) ).
tcf(c_520616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ins(X1,X2,X1,X3),X2,X0)
| ~ s_t(X2,X1,X0)
| ~ le(X1,X3,X1,X2)
| ~ s_t(X0,X1,ins(X1,X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480797,c_480053]) ).
tcf(c_520617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ins(X4,X3,ext(X1,X0,X2,X3),X5),X2,X4)
| ~ s_t(X2,X3,X4)
| ~ le(ext(X1,X0,X2,X3),X5,X4,X3)
| ~ s_t(X0,ext(X1,X0,X2,X3),ins(X4,X3,ext(X1,X0,X2,X3),X5)) ),
inference(superposition,[status(thm)],[c_480797,c_479988]) ).
tcf(c_520618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,ins(X1,X2,ext(X3,X0,X4,X2),X5),X7,X1)
| ( ext(X3,X0,X4,X2) = X0 )
| ~ s_t(X4,X2,X7)
| ~ s_t(X0,ext(X3,X0,X4,X2),X6)
| ~ le(ext(X3,X0,X4,X2),X5,X1,X2)
| ~ s_e(ext(X3,X0,X4,X2),X6,X2,X7)
| ~ s_e(X0,ins(X1,X2,ext(X3,X0,X4,X2),X5),X4,X1) ),
inference(superposition,[status(thm)],[c_480797,c_479887]) ).
tcf(c_520619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ins(X4,X2,ins(X1,X2,X0,X3),X5),X1,X4)
| ~ s_t(X1,X2,X4)
| ~ le(X0,X3,X1,X2)
| ~ le(ins(X1,X2,X0,X3),X5,X4,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),ins(X4,X2,ins(X1,X2,X0,X3),X5)) ),
inference(superposition,[status(thm)],[c_480797,c_480796]) ).
tcf(c_520620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ins(X2,X4,ext(X1,X0,X2,X3),X5),X4,X3)
| ~ s_t(X4,X2,X3)
| ~ le(ext(X1,X0,X2,X3),X5,X2,X4)
| ~ s_t(X0,ext(X1,X0,X2,X3),ins(X2,X4,ext(X1,X0,X2,X3),X5)) ),
inference(superposition,[status(thm)],[c_480797,c_480054]) ).
tcf(c_520621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ins(X1,X4,ins(X1,X2,X0,X3),X5),X4,X2)
| ~ s_t(X4,X1,X2)
| ~ le(X0,X3,X1,X2)
| ~ le(ins(X1,X2,X0,X3),X5,X1,X4)
| ~ s_t(X0,ins(X1,X2,X0,X3),ins(X1,X4,ins(X1,X2,X0,X3),X5)) ),
inference(superposition,[status(thm)],[c_480797,c_480793]) ).
tcf(c_520925,plain,
! [X0: $i,X1: $i] : s_col(X0,s(X0,X1),s(X1,s(X0,X1))),
inference(superposition,[status(thm)],[c_161,c_519197]) ).
tcf(c_520928,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(s(X0,X1),X1) = X1 )
| ~ s_r(X0,X1,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_519197,c_187]) ).
tcf(c_520929,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(s(s(X1,X0),X0),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_519197,c_181]) ).
tcf(c_520930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(s(X2,X3),X3) = X4 )
| ~ s_col(X2,X3,X5)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,s(s(X2,X3),X3)) ),
inference(superposition,[status(thm)],[c_519197,c_152]) ).
tcf(c_520931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(s(X0,X1),X1),X2,X3)
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_519197,c_151]) ).
tcf(c_520932,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X0,X1),X1),X2)
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_519197,c_148]) ).
tcf(c_520933,plain,
! [X0: $i,X1: $i] :
( sameside(X0,X1,s(s(X0,X1),X1))
| s_t(X0,X1,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_519197,c_134]) ).
tcf(c_520939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,X1,X2,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = X2 )
| ~ s_col(X4,X5,X3)
| ~ s_col(X4,X5,X2)
| ~ s_col(X0,X1,X2)
| ~ s_r(s(s(X0,X1),X1),X2,X3) ),
inference(superposition,[status(thm)],[c_519197,c_200]) ).
tcf(c_521029,plain,
! [X0: $i,X1: $i] : s_col(s(X0,s(X1,X0)),X1,s(X1,X0)),
inference(superposition,[status(thm)],[c_161,c_519198]) ).
tcf(c_521032,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_r(s(s(X0,X1),X1),X0,X1) ),
inference(superposition,[status(thm)],[c_519198,c_187]) ).
tcf(c_521033,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,s(s(X0,X1),X1),X2)
| ( s(s(X0,X1),X1) = X0 )
| ~ s_r(X0,s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_519198,c_181]) ).
tcf(c_521034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X1 = X2 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X1)
| ~ s_col(s(s(X0,X1),X1),X0,X3)
| ~ s_col(s(s(X0,X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_519198,c_152]) ).
tcf(c_521035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| ( X1 = X2 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(s(s(X0,X1),X1),X0,X3)
| ~ s_col(s(s(X0,X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_519198,c_151]) ).
tcf(c_521036,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X1,X2)
| ( s(s(X0,X1),X1) = X1 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(s(s(X0,X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_519198,c_148]) ).
tcf(c_521043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(s(s(X0,X1),X1),X0,X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X1 = X2 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_r(X1,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(s(s(X0,X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_519198,c_200]) ).
tcf(c_521134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(ext(X1,X0,alpha,gamma),X0,ins(X0,X1,X2,X3),X4),X1)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X2) ),
inference(superposition,[status(thm)],[c_480798,c_504789]) ).
tcf(c_521135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ins(X1,X0,X2,X3),X2,X1)
| ~ s_t(X2,X1,X0)
| ~ le(X2,X3,X1,X0)
| ~ s_t(X0,ins(X1,X0,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_480798,c_480380]) ).
tcf(c_521136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X2,X0,ins(X0,X1,X2,X3))
| ~ le(X2,X3,X0,X1)
| ~ s_t(X1,ins(X0,X1,X2,X3),X2)
| ~ s_t(X0,X1,ins(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_480798,c_480055]) ).
tcf(c_521137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X2,ins(X0,X1,X2,X3),X1)
| ~ le(X2,X3,X0,X1)
| ~ s_t(X0,ins(X0,X1,X2,X3),X2)
| ~ s_t(ins(X0,X1,X2,X3),X0,X1) ),
inference(superposition,[status(thm)],[c_480798,c_479987]) ).
tcf(c_521138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,X2)
| ( ins(X0,X2,X1,X3) = X0 )
| ~ le(X1,X3,X0,X2)
| ~ s_t(X0,ins(X0,X2,X1,X3),X5)
| ~ s_t(ins(X0,X2,X1,X3),X0,X4)
| ~ s_e(X0,X4,ins(X0,X2,X1,X3),X5)
| ~ s_e(X0,X1,ins(X0,X2,X1,X3),X2) ),
inference(superposition,[status(thm)],[c_480798,c_479886]) ).
tcf(c_521139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X4,X7,X5)
| ~ s_t(X0,X7,X1)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X6,X2,X7,X1)
| ~ s_e(X2,X4,X1,X5)
| ~ s_t(ins(X0,X1,X2,X3),X6,X2)
| ~ s_e(ins(X0,X1,X2,X3),X4,X0,X5) ),
inference(superposition,[status(thm)],[c_480798,c_2500]) ).
tcf(c_521140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(ins(X2,X3,X0,X1),X0,X2,X4)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480798,c_233]) ).
tcf(c_521141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(ins(X1,X2,X0,X3),X4,X1)
| s_col(ins(X1,X2,X0,X3),X0,X1)
| ( X0 = X2 )
| ~ s_col(X0,X4,X2)
| ~ le(X0,X3,X1,X2)
| ~ s_col(ins(X1,X2,X0,X3),X4,X1)
| ~ s_e(X0,X1,X2,ins(X1,X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480798,c_175]) ).
tcf(c_521142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X4,X1,X5)
| ~ sameside(X1,X0,X5)
| ~ le(X2,X3,X0,X1)
| ~ sameside(X2,ins(X0,X1,X2,X3),X4)
| ~ s_e(ins(X0,X1,X2,X3),X4,X0,X5) ),
inference(superposition,[status(thm)],[c_480798,c_154]) ).
tcf(c_521143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X4 )
| ( X0 = X1 )
| ( ins(X0,X1,X2,X3) = X5 )
| ~ le(X2,X3,X0,X1)
| ~ sameside(X4,ins(X0,X1,X2,X3),X5)
| ~ sameside(X2,ins(X0,X1,X2,X3),X5)
| ~ s_e(ins(X0,X1,X2,X3),X4,X0,X1) ),
inference(superposition,[status(thm)],[c_480798,c_140]) ).
tcf(c_521144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X0,X1,X6,X7)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X4,X5,X6,X7)
| ~ le(ins(X0,X1,X2,X3),X2,X4,X5) ),
inference(superposition,[status(thm)],[c_480798,c_114]) ).
tcf(c_521145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(ins(X0,X1,X2,X3),X4,X0,X1)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X2) ),
inference(superposition,[status(thm)],[c_480798,c_113]) ).
tcf(c_521146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,ins(X0,X1,X2,X3),X4),X1)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X2) ),
inference(superposition,[status(thm)],[c_480798,c_91]) ).
tcf(c_521147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(ins(X0,X1,X2,X3),X4,X0,X5)
| ~ s_t(X0,X5,X1)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X4,X2,X5,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X2) ),
inference(superposition,[status(thm)],[c_480798,c_90]) ).
tcf(c_521148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(ins(X0,X1,X2,X3),X4,X5,X1)
| ~ s_t(X5,X0,X1)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X4,X5,X0)
| ~ s_t(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_480798,c_71]) ).
tcf(c_521150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ins(X1,X2,X3,X4) = X0 )
| ( ext(X0,ins(X1,X2,X3,X4),X1,X2) = X3 )
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X3) ),
inference(superposition,[status(thm)],[c_480798,c_68]) ).
tcf(c_521151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(ins(X0,X1,X2,X3),X4,X0,X5)
| ~ s_t(X0,X1,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X4,X1,X5)
| ~ s_t(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_480798,c_67]) ).
tcf(c_521154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(ins(X0,X1,X4,X5),X4,X2,X3)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480798,c_63]) ).
tcf(c_521155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,ins(X2,X3,X0,X1),X0)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480798,c_62]) ).
tcf(c_521156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X4,X7,X5)
| ( ins(X0,X1,X2,X3) = X2 )
| ~ s_t(X0,X1,X7)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X6,X1,X7)
| ~ s_e(X2,X4,X1,X5)
| ~ s_t(ins(X0,X1,X2,X3),X2,X6)
| ~ s_e(ins(X0,X1,X2,X3),X4,X0,X5) ),
inference(superposition,[status(thm)],[c_480798,c_54]) ).
tcf(c_521157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,X1,X4,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_e(ins(X0,X1,X2,X3),X2,X4,X5) ),
inference(superposition,[status(thm)],[c_480798,c_50]) ).
tcf(c_521159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ins(X1,X2,X2,X3),X0,X1)
| ~ s_t(X0,X1,X2)
| ~ le(X2,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_480798,c_480382]) ).
tcf(c_521162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ins(X1,X2,ext(X3,X0,X4,X2),X5),X4,X1)
| ~ s_t(X4,X1,X2)
| ~ le(ext(X3,X0,X4,X2),X5,X1,X2)
| ~ s_t(X0,ins(X1,X2,ext(X3,X0,X4,X2),X5),ext(X3,X0,X4,X2)) ),
inference(superposition,[status(thm)],[c_480798,c_480381]) ).
tcf(c_521163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ins(X1,X2,ins(X3,X2,X0,X4),X5),X3,X1)
| ~ s_t(X3,X1,X2)
| ~ le(X0,X4,X3,X2)
| ~ le(ins(X3,X2,X0,X4),X5,X1,X2)
| ~ s_t(X0,ins(X1,X2,ins(X3,X2,X0,X4),X5),ins(X3,X2,X0,X4)) ),
inference(superposition,[status(thm)],[c_480798,c_480792]) ).
tcf(c_521352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,ext(ext(X6,X5,alpha,gamma),X5,X0,X1),X6)
| ~ le(X0,X4,X2,X3)
| ~ s_e(X2,X3,X5,X6)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480799,c_504789]) ).
tcf(c_521353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X2,ins(X0,X1,X2,X3),X4)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X0,X1,X4,X5)
| ~ s_t(X5,X2,ins(X0,X1,X2,X3))
| ~ s_t(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480799,c_480380]) ).
tcf(c_521354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ins(X2,X3,X1,X4),X5,X1)
| ~ s_t(X5,X0,X1)
| ~ le(X1,X4,X2,X3)
| ~ s_e(X2,X3,X5,X0)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480799,c_480055]) ).
tcf(c_521355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ins(X2,X3,X1,X4),X1,X5)
| ~ s_t(X1,X0,X5)
| ~ le(X1,X4,X2,X3)
| ~ s_e(X2,X3,X0,X5)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480799,c_479987]) ).
tcf(c_521356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,ins(X1,X2,X3,X4),X7,X5)
| ( X0 = X3 )
| ~ s_t(X3,X0,X6)
| ~ s_t(X0,X3,X7)
| ~ le(X3,X4,X1,X2)
| ~ s_e(X1,X2,X0,X5)
| ~ s_e(X0,X6,X3,X7)
| ~ s_e(X0,ins(X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_480799,c_479886]) ).
tcf(c_521357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_e(X7,X4,X8,X6)
| ~ s_t(X9,X8,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X4,X9,X6)
| ~ s_e(X0,X1,X9,X5)
| ~ s_t(X2,X7,ins(X0,X1,X2,X3))
| ~ s_e(X7,ins(X0,X1,X2,X3),X8,X5)
| ~ s_e(ins(X0,X1,X2,X3),X4,X5,X6) ),
inference(superposition,[status(thm)],[c_480799,c_2500]) ).
tcf(c_521358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X4,ins(X0,X1,X4,X5),X2,X6)
| ~ s_t(X2,X3,X6)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480799,c_233]) ).
tcf(c_521359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_m(X2,X6,X4)
| s_col(X2,ins(X0,X1,X2,X3),X4)
| ( ins(X0,X1,X2,X3) = X5 )
| ~ s_col(X2,X6,X4)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X0,X1,X4,X5)
| ~ s_col(ins(X0,X1,X2,X3),X6,X5)
| ~ s_e(ins(X0,X1,X2,X3),X4,X5,X2) ),
inference(superposition,[status(thm)],[c_480799,c_175]) ).
tcf(c_521360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(ins(X0,X1,X2,X3),X4,X6,X7)
| ~ sameside(X6,X5,X7)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X4,X5,X7)
| ~ s_e(X0,X1,X5,X6)
| ~ sameside(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_480799,c_154]) ).
tcf(c_521361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X5 = X6 )
| ( X2 = X4 )
| ( ins(X0,X1,X2,X3) = X7 )
| ~ sameside(X7,X2,X4)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X7,X5,X6)
| ~ s_e(X0,X1,X5,X6)
| ~ sameside(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_480799,c_140]) ).
tcf(c_521362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( le(X6,X7,X8,X9)
| ~ le(X0,X3,X1,X2)
| ~ s_e(X4,X5,X8,X9)
| ~ s_e(X1,X2,X6,X7)
| ~ le(X0,ins(X1,X2,X0,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480799,c_114]) ).
tcf(c_521363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X0,X1,X5,X6)
| ~ le(X0,X4,X2,X3)
| ~ s_e(X2,X3,X5,X6)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480799,c_113]) ).
tcf(c_521364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,ext(ext(X6,X5,alpha,gamma),X5,X0,X1),X6)
| ~ le(X0,X4,X2,X3)
| ~ s_e(X2,X3,X5,X6)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480799,c_91]) ).
tcf(c_521365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X3,X0,X7,X5)
| ~ s_t(X7,X5,X6)
| ~ le(X3,X4,X1,X2)
| ~ s_e(X1,X2,X7,X6)
| ~ s_t(X3,X0,ins(X1,X2,X3,X4))
| ~ s_e(X0,ins(X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480799,c_90]) ).
tcf(c_521366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X2,X4,X5,X7)
| ~ s_t(X5,X6,X7)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X0,X1,X6,X7)
| ~ s_t(X2,ins(X0,X1,X2,X3),X4)
| ~ s_e(ins(X0,X1,X2,X3),X4,X5,X6) ),
inference(superposition,[status(thm)],[c_480799,c_71]) ).
tcf(c_521367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(ins(X0,X1,X4,X5),X4,X3,X2)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480799,c_70]) ).
tcf(c_521368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X5,X6) = ins(X2,X3,X1,X4) )
| ~ le(X1,X4,X2,X3)
| ~ s_e(X2,X3,X5,X6)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480799,c_68]) ).
tcf(c_521369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X2,X4,X7,X6)
| ~ s_t(X7,X5,X6)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X0,X1,X7,X5)
| ~ s_t(X2,ins(X0,X1,X2,X3),X4)
| ~ s_e(ins(X0,X1,X2,X3),X4,X5,X6) ),
inference(superposition,[status(thm)],[c_480799,c_67]) ).
tcf(c_521370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,ins(X0,X1,X4,X5),X3,X2)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480799,c_65]) ).
tcf(c_521372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,ins(X0,X1,X6,X7),X4,X5)
| ~ le(X6,X7,X0,X1)
| ~ s_e(X2,X3,X4,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480799,c_63]) ).
tcf(c_521373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X3,X4,ins(X0,X1,X4,X5))
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480799,c_62]) ).
tcf(c_521374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_e(X7,X4,X8,X6)
| ( ins(X0,X1,X2,X3) = X2 )
| ~ s_t(X9,X5,X8)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X4,X9,X6)
| ~ s_e(X0,X1,X9,X5)
| ~ s_t(X2,ins(X0,X1,X2,X3),X7)
| ~ s_e(ins(X0,X1,X2,X3),X7,X5,X8)
| ~ s_e(ins(X0,X1,X2,X3),X4,X5,X6) ),
inference(superposition,[status(thm)],[c_480799,c_54]) ).
tcf(c_521375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X7,X4,X5)
| ~ le(X0,X3,X1,X2)
| ~ s_e(X1,X2,X6,X7)
| ~ s_e(X0,ins(X1,X2,X0,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480799,c_50]) ).
tcf(c_521376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ins(X0,X1,X3,X4) = X3 )
| ~ le(X3,X4,X0,X1)
| ~ s_e(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_480799,c_69]) ).
tcf(c_521377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X8,X1,X5)
| ~ s_m(X0,X8,X7)
| ~ s_t(X7,X1,X6)
| ~ le(X1,X4,X2,X3)
| ~ s_e(X2,X3,X1,X6)
| ~ s_e(X1,X0,X1,X7)
| ~ s_m(ins(X2,X3,X1,X4),X5,X6)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480799,c_178]) ).
tcf(c_521378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ins(X2,X3,X1,X4),X0,X5)
| ~ s_t(X0,X1,X5)
| ~ le(X1,X4,X2,X3)
| ~ s_e(X2,X3,X1,X5)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480799,c_479989]) ).
tcf(c_521379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,ins(X1,X2,X3,X4),X7,X5)
| ( X0 = X3 )
| ~ s_t(X3,X0,X7)
| ~ s_t(X3,X0,X6)
| ~ le(X3,X4,X1,X2)
| ~ s_e(X1,X2,X3,X5)
| ~ s_e(X0,X6,X0,X7)
| ~ s_e(X0,ins(X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480799,c_479928]) ).
tcf(c_521380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ins(X1,X2,X3,X4) = X5 )
| ~ le(X3,X4,X1,X2)
| ~ s_e(X1,X2,X3,X5)
| ~ s_m(X5,X0,ins(X1,X2,X3,X4))
| ~ s_t(X0,ins(X1,X2,X3,X4),X3) ),
inference(superposition,[status(thm)],[c_480799,c_297643]) ).
tcf(c_521381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ins(X1,X2,X3,X4) = X5 )
| ~ le(X3,X4,X1,X2)
| ~ s_e(X1,X2,X3,X5)
| ~ s_m(ins(X1,X2,X3,X4),X0,X5)
| ~ s_t(X0,ins(X1,X2,X3,X4),X3) ),
inference(superposition,[status(thm)],[c_480799,c_297638]) ).
tcf(c_521382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X6,ins(X2,X3,X4,X5),X6,X0)
| ( X1 = X4 )
| ~ s_col(X1,X4,X6)
| ~ le(X4,X5,X2,X3)
| ~ s_e(X2,X3,X4,X0)
| ~ s_m(X0,X1,ins(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480799,c_86598]) ).
tcf(c_521383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X6,ins(X0,X1,X2,X3),X6,X5)
| ( X2 = X4 )
| ~ s_col(X4,X2,X6)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X0,X1,X2,X5)
| ~ s_m(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480799,c_86593]) ).
tcf(c_521384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(ins(X0,X1,X2,X3),X2,X4)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X0,X1,X2,X4)
| ~ s_t(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_480799,c_241]) ).
tcf(c_521385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(ins(X0,X1,X2,X4),isomidpoint(ins(X0,X1,X2,X4),X3,X2),X3)
| ~ le(X2,X4,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480799,c_179]) ).
tcf(c_521386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(ins(X0,X1,X2,X3),X2,X4)
| ( ins(X0,X1,X2,X3) = X4 )
| ~ le(X2,X3,X0,X1)
| ~ s_e(X0,X1,X2,X4)
| ~ s_col(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_480799,c_174]) ).
tcf(c_521387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ins(X2,X3,X0,X4) = X1 )
| ~ le(X0,X4,X2,X3)
| ~ s_e(X2,X3,X0,X1)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480799,c_122]) ).
tcf(c_521388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ins(X1,X2,X3,X4) = X5 )
| ~ le(X3,X4,X1,X2)
| ~ s_e(X1,X2,X3,X5)
| ~ s_t(X3,ins(X1,X2,X3,X4),X0)
| ~ s_e(X0,ins(X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480799,c_106]) ).
tcf(c_521389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X3 )
| ( ins(X1,X2,X3,X4) = X5 )
| ~ le(X3,X4,X1,X2)
| ~ s_e(X1,X2,X3,X5)
| ~ s_col(X3,X0,ins(X1,X2,X3,X4))
| ~ s_e(X0,ins(X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480799,c_105]) ).
tcf(c_521390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X6,ins(X1,X2,X3,X4),X6,X5)
| ( X0 = X3 )
| ~ s_col(X3,X0,X6)
| ~ le(X3,X4,X1,X2)
| ~ s_e(X1,X2,X3,X5)
| ~ s_e(X0,ins(X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_480799,c_104]) ).
tcf(c_521391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X2,X3,ins(X0,X1,X2,X4))
| ~ le(X2,X4,X0,X1)
| ~ s_e(X0,X1,X2,s(X3,ins(X0,X1,X2,X4))) ),
inference(superposition,[status(thm)],[c_480799,c_250]) ).
tcf(c_521392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X3,X5,X2)
| ~ le(X3,X4,X0,X1)
| ~ s_t(X5,X3,ins(X0,X1,X3,X4))
| ~ s_t(X5,X2,ins(X0,X1,X3,X4))
| ~ s_e(X0,X1,X2,ins(X0,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480799,c_480382]) ).
tcf(c_521393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X0,ins(X2,X3,X1,X4),X5,X0)
| ~ s_t(X5,X1,X0)
| ~ le(X1,X4,X2,X3)
| ~ s_e(X2,X3,X5,X1)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480799,c_480053]) ).
tcf(c_521394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X0,ins(X4,X5,ext(X1,X0,X2,X3),X6),X2,X7)
| ~ s_t(X2,X3,X7)
| ~ s_e(X4,X5,X3,X7)
| ~ le(ext(X1,X0,X2,X3),X6,X4,X5)
| ~ s_t(X0,ext(X1,X0,X2,X3),ins(X4,X5,ext(X1,X0,X2,X3),X6)) ),
inference(superposition,[status(thm)],[c_480799,c_479988]) ).
tcf(c_521395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_e(X8,ins(X1,X2,ext(X3,X0,X4,X5),X6),X9,X7)
| ( ext(X3,X0,X4,X5) = X0 )
| ~ s_t(X4,X5,X9)
| ~ s_e(X1,X2,X5,X7)
| ~ s_t(X0,ext(X3,X0,X4,X5),X8)
| ~ le(ext(X3,X0,X4,X5),X6,X1,X2)
| ~ s_e(ext(X3,X0,X4,X5),X8,X5,X9)
| ~ s_e(X0,ins(X1,X2,ext(X3,X0,X4,X5),X6),X4,X7) ),
inference(superposition,[status(thm)],[c_480799,c_479887]) ).
tcf(c_521396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X0,ins(X4,X5,ins(X1,X2,X0,X3),X6),X1,X7)
| ~ s_t(X1,X2,X7)
| ~ le(X0,X3,X1,X2)
| ~ s_e(X4,X5,X2,X7)
| ~ le(ins(X1,X2,X0,X3),X6,X4,X5)
| ~ s_t(X0,ins(X1,X2,X0,X3),ins(X4,X5,ins(X1,X2,X0,X3),X6)) ),
inference(superposition,[status(thm)],[c_480799,c_480796]) ).
tcf(c_521397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X0,ins(X4,X5,ext(X1,X0,X2,X3),X6),X7,X3)
| ~ s_t(X7,X2,X3)
| ~ s_e(X4,X5,X7,X2)
| ~ le(ext(X1,X0,X2,X3),X6,X4,X5)
| ~ s_t(X0,ext(X1,X0,X2,X3),ins(X4,X5,ext(X1,X0,X2,X3),X6)) ),
inference(superposition,[status(thm)],[c_480799,c_480054]) ).
tcf(c_521398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X0,ins(X4,X5,ins(X1,X2,X0,X3),X6),X7,X2)
| ~ s_t(X7,X1,X2)
| ~ le(X0,X3,X1,X2)
| ~ s_e(X4,X5,X7,X1)
| ~ le(ins(X1,X2,X0,X3),X6,X4,X5)
| ~ s_t(X0,ins(X1,X2,X0,X3),ins(X4,X5,ins(X1,X2,X0,X3),X6)) ),
inference(superposition,[status(thm)],[c_480799,c_480793]) ).
tcf(c_521399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X0,X1,X4)
| ~ s_t(X1,X4,X2)
| ~ le(X0,X3,X1,X2)
| ~ s_e(X1,X2,X4,X2)
| ~ s_t(X0,X0,ins(X1,X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480799,c_480792]) ).
tcf(c_521442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X3,X0,X2)
| ~ s_t(X0,X2,X1)
| ~ le(X3,X4,X0,X1)
| ~ s_e(X0,X1,X2,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_521399,c_74]) ).
tcf(c_521882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(ext(ins(X2,X3,X0,X1),X0,alpha,gamma),X0,X2,X4),ins(X2,X3,X0,X1))
| ~ s_t(X2,X4,X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480800,c_504789]) ).
tcf(c_521883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(ins(X0,X1,X2,X3),X0,X1,X2)
| ~ le(X2,X3,X0,X1)
| ~ s_t(X1,X2,ins(X0,X1,X2,X3))
| ~ s_t(ins(X0,X1,X2,X3),X0,X1) ),
inference(superposition,[status(thm)],[c_480800,c_480380]) ).
tcf(c_521884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(ins(X0,X1,X2,X3),X1,X2,X0)
| ~ le(X2,X3,X0,X1)
| ~ s_t(X2,ins(X0,X1,X2,X3),X0)
| ~ s_t(ins(X0,X1,X2,X3),X0,X1) ),
inference(superposition,[status(thm)],[c_480800,c_480055]) ).
tcf(c_521885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X2,X0,ins(X0,X2,X1,X3))
| ~ s_t(X1,X0,X2)
| ~ le(X1,X3,X0,X2)
| ~ s_t(X0,X1,ins(X0,X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480800,c_479987]) ).
tcf(c_521886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,ins(X2,X1,X0,X3))
| ( X0 = X2 )
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,X2,X5)
| ~ le(X0,X3,X2,X1)
| ~ s_e(X0,X4,X2,X5)
| ~ s_e(X0,X1,X2,ins(X2,X1,X0,X3)) ),
inference(superposition,[status(thm)],[c_480800,c_479886]) ).
tcf(c_521887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X1,X7,X5)
| ~ s_t(X2,X6,X0)
| ~ le(X3,X4,X2,X0)
| ~ s_e(X2,X1,X3,X5)
| ~ s_t(X3,X7,ins(X2,X0,X3,X4))
| ~ s_e(X6,X0,X7,ins(X2,X0,X3,X4))
| ~ s_e(X0,X1,ins(X2,X0,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480800,c_2500]) ).
tcf(c_521888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X1,X2,X0,X4)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480800,c_233]) ).
tcf(c_521889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(X2,X4,X1)
| s_col(X2,X0,X1)
| ( ins(X2,X0,X1,X3) = X0 )
| ~ s_col(X2,X4,X1)
| ~ le(X1,X3,X2,X0)
| ~ s_col(X0,X4,ins(X2,X0,X1,X3))
| ~ s_e(X0,X1,ins(X2,X0,X1,X3),X2) ),
inference(superposition,[status(thm)],[c_480800,c_175]) ).
tcf(c_521890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X1,X5,ins(X0,X1,X2,X3),X4)
| ~ sameside(X1,X0,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X0,X5,X2,X4)
| ~ sameside(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_480800,c_154]) ).
tcf(c_521891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X3 )
| ( X0 = X5 )
| ( ins(X0,X3,X2,X4) = X2 )
| ~ sameside(X3,X0,X5)
| ~ sameside(X1,X0,X5)
| ~ le(X2,X4,X0,X3)
| ~ s_e(X0,X1,X2,ins(X0,X3,X2,X4)) ),
inference(superposition,[status(thm)],[c_480800,c_140]) ).
tcf(c_521892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X4,ins(X6,X7,X4,X5),X2,X3)
| ~ le(X6,X7,X0,X1)
| ~ le(X4,X5,X6,X7)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480800,c_114]) ).
tcf(c_521893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X2,X4,X0,ins(X2,X3,X0,X1))
| ~ s_t(X2,X4,X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480800,c_113]) ).
tcf(c_521894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ext(ext(ins(X2,X3,X0,X1),X0,alpha,gamma),X0,X2,X4),ins(X2,X3,X0,X1))
| ~ s_t(X2,X4,X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480800,c_91]) ).
tcf(c_521895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X3,X0,X4,X2)
| ~ s_t(X3,X0,X1)
| ~ le(X4,X5,X3,X1)
| ~ s_t(X4,X2,ins(X3,X1,X4,X5))
| ~ s_e(X0,X1,X2,ins(X3,X1,X4,X5)) ),
inference(superposition,[status(thm)],[c_480800,c_90]) ).
tcf(c_521896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X5,X0,ins(X2,X3,X1,X4))
| ~ s_t(X2,X3,X5)
| ~ le(X1,X4,X2,X3)
| ~ s_e(X3,X5,X0,X1)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480800,c_71]) ).
tcf(c_521898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = X4 )
| ( ext(X4,X2,X0,ins(X2,X3,X0,X1)) = X3 )
| ~ s_t(X4,X2,X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480800,c_68]) ).
tcf(c_521899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X1,X3,X5)
| ~ s_t(X2,X0,X1)
| ~ le(X3,X4,X2,X0)
| ~ s_t(X3,ins(X2,X0,X3,X4),X5)
| ~ s_e(X0,X1,ins(X2,X0,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480800,c_67]) ).
tcf(c_521904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X1,X7,X5)
| ( X0 = X2 )
| ~ s_t(X2,X0,X6)
| ~ le(X3,X4,X2,X0)
| ~ s_e(X2,X1,X3,X5)
| ~ s_t(X3,ins(X2,X0,X3,X4),X7)
| ~ s_e(X0,X6,ins(X2,X0,X3,X4),X7)
| ~ s_e(X0,X1,ins(X2,X0,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480800,c_54]) ).
tcf(c_521906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X1,X4)
| ~ s_m(X5,X6,X0)
| ~ s_t(X5,X1,X2)
| ~ le(X1,X3,X1,X2)
| ~ s_e(X1,X5,X1,X0)
| ~ s_m(X2,X4,ins(X1,X2,X1,X3))
| ~ s_t(X0,X1,ins(X1,X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480800,c_178]) ).
tcf(c_521907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X2,X0,ins(X1,X2,X1,X3))
| ~ s_t(X0,X1,X2)
| ~ le(X1,X3,X1,X2)
| ~ s_t(X0,X1,ins(X1,X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480800,c_479989]) ).
tcf(c_521908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,ins(X2,X1,X2,X3))
| ( X0 = X2 )
| ~ s_t(X2,X0,X5)
| ~ s_t(X2,X0,X4)
| ~ le(X2,X3,X2,X1)
| ~ s_e(X0,X4,X0,X5)
| ~ s_e(X0,X1,X0,ins(X2,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_480800,c_479928]) ).
tcf(c_521909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ins(X0,X1,X0,X2) = X1 )
| ~ s_t(X3,X1,X0)
| ~ le(X0,X2,X0,X1)
| ~ s_m(ins(X0,X1,X0,X2),X3,X1) ),
inference(superposition,[status(thm)],[c_480800,c_297643]) ).
tcf(c_521910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ins(X2,X0,X2,X3) = X0 )
| ~ s_t(X1,X0,X2)
| ~ le(X2,X3,X2,X0)
| ~ s_m(X0,X1,ins(X2,X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_480800,c_297638]) ).
tcf(c_521911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X4,ins(X0,X1,X0,X2))
| ( X0 = X3 )
| ~ s_col(X3,X0,X4)
| ~ le(X0,X2,X0,X1)
| ~ s_m(ins(X0,X1,X0,X2),X3,X1) ),
inference(superposition,[status(thm)],[c_480800,c_86598]) ).
tcf(c_521912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X0,X4,ins(X2,X0,X2,X3))
| ( X1 = X2 )
| ~ s_col(X1,X2,X4)
| ~ le(X2,X3,X2,X0)
| ~ s_m(X0,X1,ins(X2,X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_480800,c_86593]) ).
tcf(c_521913,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X0,X1,ins(X1,X0,X1,X2))
| ~ le(X1,X2,X1,X0)
| ~ s_t(X0,X1,ins(X1,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_480800,c_241]) ).
tcf(c_521914,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X2,isomidpoint(X2,ins(X0,X2,X0,X1),X0),ins(X0,X2,X0,X1))
| ~ le(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_480800,c_179]) ).
tcf(c_521915,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X0,X1,ins(X1,X0,X1,X2))
| ( ins(X1,X0,X1,X2) = X0 )
| ~ le(X1,X2,X1,X0)
| ~ s_col(X0,X1,ins(X1,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_480800,c_174]) ).
tcf(c_521916,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ins(X0,X1,X0,X2) = X1 )
| ~ le(X0,X2,X0,X1)
| ~ s_t(X0,ins(X0,X1,X0,X2),X1) ),
inference(superposition,[status(thm)],[c_480800,c_122]) ).
tcf(c_521917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ins(X2,X1,X2,X3) = X1 )
| ~ s_t(X2,X1,X0)
| ~ le(X2,X3,X2,X1)
| ~ s_e(X0,X1,X0,ins(X2,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_480800,c_106]) ).
tcf(c_521918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( ins(X2,X1,X2,X3) = X1 )
| ~ s_col(X2,X0,X1)
| ~ le(X2,X3,X2,X1)
| ~ s_e(X0,X1,X0,ins(X2,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_480800,c_105]) ).
tcf(c_521919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X4,ins(X2,X1,X2,X3))
| ( X0 = X2 )
| ~ s_col(X2,X0,X4)
| ~ le(X2,X3,X2,X1)
| ~ s_e(X0,X1,X0,ins(X2,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_480800,c_104]) ).
tcf(c_521920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X5,X0,ins(X2,ext(X3,X2,X4,X5),X0,X1))
| ~ le(X0,X1,X2,ext(X3,X2,X4,X5)) ),
inference(superposition,[status(thm)],[c_480800,c_479867]) ).
tcf(c_521921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X3,X0,ins(X2,X2,X0,X1))
| ~ le(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_480800,c_479966]) ).
tcf(c_521922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X3,X4,X0,ins(ext(X2,X3,X0,X1),X4,X1,X5))
| ~ s_t(X3,ext(X2,X3,X0,X1),X4)
| ~ le(X1,X5,ext(X2,X3,X0,X1),X4)
| ~ s_t(X0,X1,ins(ext(X2,X3,X0,X1),X4,X1,X5)) ),
inference(superposition,[status(thm)],[c_480800,c_479988]) ).
tcf(c_521923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X1,X7,ins(ext(X3,X0,X2,X4),X1,X4,X5))
| ( ext(X3,X0,X2,X4) = X0 )
| ~ s_t(X2,X4,X7)
| ~ s_t(X0,ext(X3,X0,X2,X4),X6)
| ~ le(X4,X5,ext(X3,X0,X2,X4),X1)
| ~ s_e(ext(X3,X0,X2,X4),X6,X4,X7)
| ~ s_e(X0,X1,X2,ins(ext(X3,X0,X2,X4),X1,X4,X5)) ),
inference(superposition,[status(thm)],[c_480800,c_479887]) ).
tcf(c_521924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X4,X0,ins(ins(X0,X1,X2,X3),X4,X1,X5))
| ~ le(X2,X3,X0,X1)
| ~ s_t(X2,ins(X0,X1,X2,X3),X4)
| ~ le(X1,X5,ins(X0,X1,X2,X3),X4)
| ~ s_t(X0,X1,ins(ins(X0,X1,X2,X3),X4,X1,X5)) ),
inference(superposition,[status(thm)],[c_480800,c_480796]) ).
tcf(c_522349,plain,
! [X0: $i,X1: $i] : s_col(s(X0,X1),s(X1,s(X0,X1)),X0),
inference(superposition,[status(thm)],[c_161,c_519199]) ).
tcf(c_522352,plain,
! [X0: $i,X1: $i] :
( ( s(s(X1,X0),X0) = X1 )
| ( s(s(X1,X0),X0) = X0 )
| ~ s_r(X0,s(s(X1,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_519199,c_187]) ).
tcf(c_522353,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X0,X1,X2)
| ( s(s(X0,X1),X1) = X1 )
| ~ s_r(s(s(X0,X1),X1),X1,X2) ),
inference(superposition,[status(thm)],[c_519199,c_181]) ).
tcf(c_522354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X1 = X2 )
| ( s(s(X1,X0),X0) = X0 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X1)
| ~ s_col(X0,s(s(X1,X0),X0),X3)
| ~ s_col(X0,s(s(X1,X0),X0),X2) ),
inference(superposition,[status(thm)],[c_519199,c_152]) ).
tcf(c_522355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| ( X1 = X2 )
| ( s(s(X1,X0),X0) = X0 )
| ~ s_col(X0,s(s(X1,X0),X0),X3)
| ~ s_col(X0,s(s(X1,X0),X0),X2) ),
inference(superposition,[status(thm)],[c_519199,c_151]) ).
tcf(c_522356,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ( s(s(X1,X0),X0) = X0 )
| ~ s_col(X0,s(s(X1,X0),X0),X2) ),
inference(superposition,[status(thm)],[c_519199,c_148]) ).
tcf(c_522357,plain,
! [X0: $i,X1: $i] :
( sameside(X0,s(s(X1,X0),X0),X1)
| s_t(X0,s(s(X1,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_519199,c_134]) ).
tcf(c_522363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,s(s(X1,X0),X0),X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X1 = X2 )
| ( s(s(X1,X0),X0) = X0 )
| ~ s_r(X1,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,s(s(X1,X0),X0),X2) ),
inference(superposition,[status(thm)],[c_519199,c_200]) ).
tcf(c_522406,plain,
! [X0: $i,X1: $i] : ~ sameside(s(X0,X1),X0,s(X1,s(X0,X1))),
inference(superposition,[status(thm)],[c_161,c_517634]) ).
tcf(c_522424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,ins(X0,X1,X2,X3))
| ( ins(X0,X1,X2,X3) = X2 )
| ~ s_t(X0,X1,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_t(X2,ins(X0,X1,X2,X3),X4)
| ~ s_e(X2,X1,X0,ins(X0,X1,X2,X3))
| ~ s_e(ins(X0,X1,X2,X3),X4,X1,X5) ),
inference(superposition,[status(thm)],[c_49,c_480801]) ).
tcf(c_522425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,ext(X1,ins(X2,X3,X0,X4),X3,X5),X7,X5)
| ( ins(X2,X3,X0,X4) = X0 )
| ~ s_t(X2,X3,X7)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,ins(X2,X3,X0,X4),X6)
| ~ s_e(ins(X2,X3,X0,X4),X6,X3,X7)
| ~ s_e(X0,ext(X1,ins(X2,X3,X0,X4),X3,X5),X2,X5) ),
inference(superposition,[status(thm)],[c_53,c_480801]) ).
tcf(c_522426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,ins(X0,X1,X2,X3),X5,X1)
| ( ins(X0,X1,X2,X3) = X2 )
| ~ s_t(X0,X1,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_t(X2,ins(X0,X1,X2,X3),X4)
| ~ s_e(X2,ins(X0,X1,X2,X3),X0,X1)
| ~ s_e(ins(X0,X1,X2,X3),X4,X1,X5) ),
inference(superposition,[status(thm)],[c_66,c_480801]) ).
tcf(c_522427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,ins(X1,X2,ins(X3,X1,X0,X4),X5),X7,X2)
| ( ins(X3,X1,X0,X4) = X0 )
| ~ s_t(X3,X1,X7)
| ~ le(X0,X4,X3,X1)
| ~ s_t(X0,ins(X3,X1,X0,X4),X6)
| ~ le(ins(X3,X1,X0,X4),X5,X1,X2)
| ~ s_e(ins(X3,X1,X0,X4),X6,X1,X7)
| ~ s_e(X0,ins(X1,X2,ins(X3,X1,X0,X4),X5),X3,X2) ),
inference(superposition,[status(thm)],[c_111,c_480801]) ).
tcf(c_522428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X1,X7,ext(X3,X4,ins(X2,X4,X0,X5),X1))
| ( ins(X2,X4,X0,X5) = X0 )
| ~ s_t(X2,X4,X7)
| ~ le(X0,X5,X2,X4)
| ~ s_t(X0,ins(X2,X4,X0,X5),X6)
| ~ s_e(ins(X2,X4,X0,X5),X6,X4,X7)
| ~ s_e(X0,X1,X2,ext(X3,X4,ins(X2,X4,X0,X5),X1)) ),
inference(superposition,[status(thm)],[c_479942,c_480801]) ).
tcf(c_522429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X2,X6,s(X1,ins(X0,s(X1,X2),X3,X4)))
| ( ins(X0,s(X1,X2),X3,X4) = X3 )
| ~ s_t(X0,s(X1,X2),X6)
| ~ le(X3,X4,X0,s(X1,X2))
| ~ s_t(X3,ins(X0,s(X1,X2),X3,X4),X5)
| ~ s_e(X3,X2,X0,s(X1,ins(X0,s(X1,X2),X3,X4)))
| ~ s_e(ins(X0,s(X1,X2),X3,X4),X5,s(X1,X2),X6) ),
inference(superposition,[status(thm)],[c_482427,c_480801]) ).
tcf(c_522430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X4,X1,X5,X6)
| ( ins(X0,X1,X2,X3) = X2 )
| ~ s_t(X0,X1,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X1,X0,X6)
| ~ s_m(ins(X0,X1,X2,X3),X1,X6)
| ~ s_t(X2,ins(X0,X1,X2,X3),X4)
| ~ s_e(ins(X0,X1,X2,X3),X4,X1,X5) ),
inference(superposition,[status(thm)],[c_486277,c_480801]) ).
tcf(c_522431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,s(X1,X2),X6,s(X1,ins(X3,X2,X0,X4)))
| ( ins(X3,X2,X0,X4) = X0 )
| ~ s_t(X3,X2,X6)
| ~ le(X0,X4,X3,X2)
| ~ s_t(X0,ins(X3,X2,X0,X4),X5)
| ~ s_e(ins(X3,X2,X0,X4),X5,X2,X6)
| ~ s_e(X0,s(X1,X2),X3,s(X1,ins(X3,X2,X0,X4))) ),
inference(superposition,[status(thm)],[c_491066,c_480801]) ).
tcf(c_522432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,s(X1,ins(X2,X1,X0,X3)))
| ( ins(X2,X1,X0,X3) = X0 )
| ~ s_t(X2,X1,X5)
| ~ le(X0,X3,X2,X1)
| ~ s_t(X0,ins(X2,X1,X0,X3),X4)
| ~ s_e(ins(X2,X1,X0,X3),X4,X1,X5)
| ~ s_e(X0,X1,X2,s(X1,ins(X2,X1,X0,X3))) ),
inference(superposition,[status(thm)],[c_482506,c_480801]) ).
tcf(c_522433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,s(ins(X1,X2,X0,X3),X2),X5,ins(X1,X2,X0,X3))
| ( ins(X1,X2,X0,X3) = X0 )
| ~ s_t(X1,X2,X5)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4)
| ~ s_e(ins(X1,X2,X0,X3),X4,X2,X5)
| ~ s_e(X0,s(ins(X1,X2,X0,X3),X2),X1,ins(X1,X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_482962,c_480801]) ).
tcf(c_522434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X1,X7,ext(X3,X4,X1,ins(X2,X4,X0,X5)))
| ( ins(X2,X4,X0,X5) = X0 )
| ~ s_t(X2,X4,X7)
| ~ le(X0,X5,X2,X4)
| ~ s_t(X0,ins(X2,X4,X0,X5),X6)
| ~ s_e(ins(X2,X4,X0,X5),X6,X4,X7)
| ~ s_e(X0,X1,X2,ext(X3,X4,X1,ins(X2,X4,X0,X5))) ),
inference(superposition,[status(thm)],[c_488569,c_480801]) ).
tcf(c_522435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,ext(X1,ins(X2,X3,X0,X4),X5,X3),X7,X5)
| ( ins(X2,X3,X0,X4) = X0 )
| ~ s_t(X2,X3,X7)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,ins(X2,X3,X0,X4),X6)
| ~ s_e(ins(X2,X3,X0,X4),X6,X3,X7)
| ~ s_e(X0,ext(X1,ins(X2,X3,X0,X4),X5,X3),X2,X5) ),
inference(superposition,[status(thm)],[c_479974,c_480801]) ).
tcf(c_522436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X4,X6,X5,ins(X0,X1,X2,X3))
| ( ins(X0,X1,X2,X3) = X2 )
| ~ s_t(X0,X1,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_m(X6,ins(X0,X1,X2,X3),X1)
| ~ s_t(X2,ins(X0,X1,X2,X3),X4)
| ~ s_e(X2,X6,X0,ins(X0,X1,X2,X3))
| ~ s_e(ins(X0,X1,X2,X3),X4,X1,X5) ),
inference(superposition,[status(thm)],[c_486276,c_480801]) ).
tcf(c_522437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X4,X6,X5,X6)
| ( ins(X0,X1,X2,X3) = X2 )
| ~ s_t(X0,X1,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X6,X0,X6)
| ~ s_m(ins(X0,X1,X2,X3),X6,X1)
| ~ s_t(X2,ins(X0,X1,X2,X3),X4)
| ~ s_e(ins(X0,X1,X2,X3),X4,X1,X5) ),
inference(superposition,[status(thm)],[c_486273,c_480801]) ).
tcf(c_522438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X4,X6,X5,X6)
| ( ins(X0,X1,X2,X3) = X2 )
| ~ s_t(X0,X1,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X6,X0,X6)
| ~ s_m(X1,X6,ins(X0,X1,X2,X3))
| ~ s_t(X2,ins(X0,X1,X2,X3),X4)
| ~ s_e(ins(X0,X1,X2,X3),X4,X1,X5) ),
inference(superposition,[status(thm)],[c_497176,c_480801]) ).
tcf(c_522439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X4,X6,X5,ins(X0,X1,X2,X3))
| ( ins(X0,X1,X2,X3) = X2 )
| ~ s_t(X0,X1,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_m(X1,ins(X0,X1,X2,X3),X6)
| ~ s_t(X2,ins(X0,X1,X2,X3),X4)
| ~ s_e(X2,X6,X0,ins(X0,X1,X2,X3))
| ~ s_e(ins(X0,X1,X2,X3),X4,X1,X5) ),
inference(superposition,[status(thm)],[c_498465,c_480801]) ).
tcf(c_522440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X4,X1,X5,X6)
| ( ins(X0,X1,X2,X3) = X2 )
| ~ s_t(X0,X1,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X1,X0,X6)
| ~ s_m(X6,X1,ins(X0,X1,X2,X3))
| ~ s_t(X2,ins(X0,X1,X2,X3),X4)
| ~ s_e(ins(X0,X1,X2,X3),X4,X1,X5) ),
inference(superposition,[status(thm)],[c_497526,c_480801]) ).
tcf(c_522441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X2,X5,X0)
| ( ins(X0,X1,X2,X3) = X2 )
| ~ s_t(X0,X1,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X2,X0,X0)
| ~ s_t(X2,ins(X0,X1,X2,X3),X4)
| ~ s_e(ins(X0,X1,X2,X3),X4,X1,X5) ),
inference(superposition,[status(thm)],[c_480794,c_480801]) ).
tcf(c_522442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,ins(X1,X2,ins(X3,X2,X0,X4),X5),X7,X1)
| ( ins(X3,X2,X0,X4) = X0 )
| ~ s_t(X3,X2,X7)
| ~ le(X0,X4,X3,X2)
| ~ s_t(X0,ins(X3,X2,X0,X4),X6)
| ~ le(ins(X3,X2,X0,X4),X5,X1,X2)
| ~ s_e(ins(X3,X2,X0,X4),X6,X2,X7)
| ~ s_e(X0,ins(X1,X2,ins(X3,X2,X0,X4),X5),X3,X1) ),
inference(superposition,[status(thm)],[c_480797,c_480801]) ).
tcf(c_522443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X4,X0)
| ( ins(X0,X0,X1,X2) = X1 )
| ~ s_t(X0,X0,X4)
| ~ le(X1,X2,X0,X0)
| ~ s_e(X1,X1,X0,X0)
| ~ s_t(X1,ins(X0,X0,X1,X2),X3)
| ~ s_e(ins(X0,X0,X1,X2),X3,X0,X4) ),
inference(superposition,[status(thm)],[c_480798,c_480801]) ).
tcf(c_522444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_e(X6,X1,X7,ins(ins(X2,X3,X0,X4),X1,X3,X5))
| ( ins(X2,X3,X0,X4) = X0 )
| ~ s_t(X2,X3,X7)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,ins(X2,X3,X0,X4),X6)
| ~ le(X3,X5,ins(X2,X3,X0,X4),X1)
| ~ s_e(ins(X2,X3,X0,X4),X6,X3,X7)
| ~ s_e(X0,X1,X2,ins(ins(X2,X3,X0,X4),X1,X3,X5)) ),
inference(superposition,[status(thm)],[c_480800,c_480801]) ).
tcf(c_522445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_e(X8,ext(X1,ins(X2,X3,X0,X4),X5,X6),X9,X7)
| ( ins(X2,X3,X0,X4) = X0 )
| ~ s_t(X2,X3,X9)
| ~ le(X0,X4,X2,X3)
| ~ s_e(X5,X6,X3,X7)
| ~ s_t(X0,ins(X2,X3,X0,X4),X8)
| ~ s_e(ins(X2,X3,X0,X4),X8,X3,X9)
| ~ s_e(X0,ext(X1,ins(X2,X3,X0,X4),X5,X6),X2,X7) ),
inference(superposition,[status(thm)],[c_479951,c_480801]) ).
tcf(c_522446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_e(X8,ins(X1,X2,ins(X3,X4,X0,X5),X6),X9,X7)
| ( ins(X3,X4,X0,X5) = X0 )
| ~ s_t(X3,X4,X9)
| ~ le(X0,X5,X3,X4)
| ~ s_e(X1,X2,X4,X7)
| ~ s_t(X0,ins(X3,X4,X0,X5),X8)
| ~ le(ins(X3,X4,X0,X5),X6,X1,X2)
| ~ s_e(ins(X3,X4,X0,X5),X8,X4,X9)
| ~ s_e(X0,ins(X1,X2,ins(X3,X4,X0,X5),X6),X3,X7) ),
inference(superposition,[status(thm)],[c_480799,c_480801]) ).
tcf(c_522447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X4,X0)
| ( ins(X0,X0,X1,X2) = X1 )
| ~ le(X1,X2,X0,X0)
| ~ s_t(X1,ins(X0,X0,X1,X2),X3)
| ~ s_e(ins(X0,X0,X1,X2),X3,X0,X4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_522443,c_74,c_66]) ).
tcf(c_522453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X2,X5,X0)
| ( ins(X0,X1,X2,X3) = X2 )
| ~ s_t(X0,X1,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_t(X2,ins(X0,X1,X2,X3),X4)
| ~ s_e(ins(X0,X1,X2,X3),X4,X1,X5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_522441,c_66]) ).
tcf(c_522723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,X2,X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_111,c_480802]) ).
tcf(c_522724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X3,s(X4,X0),s(X4,ins(X2,X3,X0,X1)))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_166,c_480802]) ).
tcf(c_522725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X1,X2,X4)
| ~ le(X2,X3,X0,X1)
| ~ s_m(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_240,c_480802]) ).
tcf(c_522726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X3,X0,s(X1,ins(X2,X3,X0,X4)))
| ~ le(X0,X4,X2,X3)
| ~ s_r(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_249,c_480802]) ).
tcf(c_522727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X4,X1,s(X0,ins(X3,X4,s(X0,X1),X2)))
| ~ le(s(X0,X1),X2,X3,X4) ),
inference(superposition,[status(thm)],[c_482413,c_480802]) ).
tcf(c_522728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,X0,s(X0,ins(X2,X3,X0,X1)))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482414,c_480802]) ).
tcf(c_522729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,s(ins(X2,X3,X0,X1),X0),ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482416,c_480802]) ).
tcf(c_522730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X3,X4,ext(X5,X4,X0,ins(X2,X3,X0,X1)))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_479942,c_480802]) ).
tcf(c_522731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X3,X1,X0)
| ~ le(X1,X4,X2,X3)
| ~ s_m(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_486279,c_480802]) ).
tcf(c_522732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X3,s(X4,ins(X2,X3,X0,X1)),s(X4,X0))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482427,c_480802]) ).
tcf(c_522733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X2,ins(X1,X2,X0,X3),X4)
| ~ le(X0,X3,X1,X2)
| ~ s_m(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_486277,c_480802]) ).
tcf(c_522734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,ins(X2,X3,X0,X1),s(ins(X2,X3,X0,X1),X0))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482506,c_480802]) ).
tcf(c_522735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X4,s(X0,ins(X3,X4,s(X0,X1),X2)),X1)
| ~ le(s(X0,X1),X2,X3,X4) ),
inference(superposition,[status(thm)],[c_491065,c_480802]) ).
tcf(c_522736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,s(X0,ins(X2,X3,X0,X1)),X0)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482505,c_480802]) ).
tcf(c_522737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X3,X4,ext(X5,X4,ins(X2,X3,X0,X1),X0))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_488569,c_480802]) ).
tcf(c_522738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X3,ext(X4,X5,X0,ins(X2,X3,X0,X1)),X5)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_488568,c_480802]) ).
tcf(c_522739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X1,X4,X2)
| ~ le(X2,X3,X0,X1)
| ~ s_m(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_486276,c_480802]) ).
tcf(c_522740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X2,X4,ins(X1,X2,X0,X3))
| ~ le(X0,X3,X1,X2)
| ~ s_m(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_486273,c_480802]) ).
tcf(c_522741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X3,ext(X4,X5,ins(X2,X3,X0,X1),X0),X5)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_488565,c_480802]) ).
tcf(c_522742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X2,X0,ins(X1,X2,X3,X4))
| ~ le(X3,X4,X1,X2)
| ~ s_m(X0,ins(X1,X2,X3,X4),X3) ),
inference(superposition,[status(thm)],[c_497176,c_480802]) ).
tcf(c_522743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X3,X0,X1)
| ~ le(X1,X4,X2,X3)
| ~ s_m(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_498465,c_480802]) ).
tcf(c_522744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X2,ins(X1,X2,X3,X4),X0)
| ~ le(X3,X4,X1,X2)
| ~ s_m(X0,ins(X1,X2,X3,X4),X3) ),
inference(superposition,[status(thm)],[c_497526,c_480802]) ).
tcf(c_522745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X3,X3,X2)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480797,c_480802]) ).
tcf(c_522746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X3,X4,X0,ins(X2,ins(X3,X4,X2,X5),X0,X1))
| ~ le(X2,X5,X3,X4)
| ~ le(X0,X1,X2,ins(X3,X4,X2,X5)) ),
inference(superposition,[status(thm)],[c_480800,c_480802]) ).
tcf(c_522860,plain,
! [X0: $i,X1: $i] : ins(X0,X0,X1,X1) = X1,
inference(superposition,[status(thm)],[c_119,c_480803]) ).
tcf(c_522863,plain,
! [X0: $i,X1: $i] :
( ( ins(X0,X0,X0,X1) = X0 )
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_480889,c_480803]) ).
tcf(c_522864,plain,
! [X0: $i,X1: $i] :
( ( ins(X0,X0,X1,X0) = X1 )
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_485317,c_480803]) ).
tcf(c_522869,plain,
! [X0: $i,X1: $i] :
( s_e(X1,X1,X0,X0)
| ~ le(X0,X0,X1,X1) ),
inference(superposition,[status(thm)],[c_522860,c_480800]) ).
tcf(c_522879,plain,
! [X0: $i,X1: $i] :
( s_t(X0,X0,X0)
| ~ le(X0,X0,X1,X1) ),
inference(superposition,[status(thm)],[c_522860,c_110]) ).
tcf(c_522880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X3,X1,X2)
| ~ le(X0,X0,X3,X3)
| ~ s_e(X0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_522860,c_480802]) ).
tcf(c_522881,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,ins(X1,X1,X0,X0),X2)
| ~ s_t(X0,X0,X2)
| ~ le(X0,X0,X1,X1) ),
inference(superposition,[status(thm)],[c_522860,c_480744]) ).
tcf(c_522883,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X0,X2)
| ~ s_t(X0,X2,X0)
| ~ le(X0,X0,X1,X1) ),
inference(superposition,[status(thm)],[c_522860,c_480745]) ).
tcf(c_522884,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,ins(X1,X1,X0,X0))
| ~ s_t(X0,X2,X0)
| ~ le(X0,X0,X1,X1) ),
inference(superposition,[status(thm)],[c_522860,c_480742]) ).
tcf(c_522886,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,ext(ext(X1,X1,alpha,gamma),X1,X0,X2),X1)
| ~ s_t(X0,X2,X0)
| ~ le(X0,X0,X1,X1) ),
inference(superposition,[status(thm)],[c_522860,c_480791]) ).
tcf(c_522888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X3,X1,X2)
| ~ le(X3,X3,X0,X0)
| ~ s_e(X0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_522860,c_480799]) ).
tcf(c_522894,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( ext(X2,X0,X1,X1) = ins(X1,X1,X0,X0) )
| ~ s_t(X2,X0,X0)
| ~ le(X0,X0,X1,X1) ),
inference(superposition,[status(thm)],[c_522860,c_480795]) ).
tcf(c_522895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X1,X2,X3)
| ~ s_t(X2,X3,X2)
| ~ le(X0,X0,X2,X2)
| ~ s_e(X1,X0,X3,X2)
| ~ s_t(X0,X1,ins(X2,X2,X0,X0)) ),
inference(superposition,[status(thm)],[c_522860,c_480792]) ).
tcf(c_522898,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,ins(X2,X2,X0,X0))
| ~ s_t(X0,X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_522884,c_119]) ).
tcf(c_522901,plain,
! [X0: $i,X1: $i,X2: $i] : s_t(X0,ins(X1,X1,X0,X0),X2),
inference(forward_subsumption_resolution,[status(thm)],[c_522881,c_74,c_119]) ).
tcf(c_522903,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,X2) = ins(X2,X2,X1,X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_522894,c_72,c_119]) ).
tcf(c_522904,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ins(X2,X2,X1,X1) = X1 ) ),
inference(light_normalisation,[status(thm)],[c_522903,c_480032]) ).
tcf(c_522905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X1,X2,X3)
| ~ s_t(X2,X3,X2)
| ~ s_e(X1,X0,X3,X2)
| ~ s_t(X0,X1,ins(X2,X2,X0,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_522895,c_119]) ).
tcf(c_522965,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ins(X0,X1,X0,X2) = X1 )
| ~ le(X0,X2,X0,X1)
| ~ s_t(X0,ins(X0,X1,X0,X2),X0) ),
inference(superposition,[status(thm)],[c_111,c_480804]) ).
tcf(c_522966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ins(X0,X1,X0,X2) = X1 )
| ~ le(X0,X2,X0,X1)
| ~ s_m(ins(X0,X1,X0,X2),X3,X1)
| ~ s_t(X0,ins(X0,X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_240,c_480804]) ).
tcf(c_522967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ins(X0,X1,X0,X2) = X1 )
| ~ le(X0,X2,X0,X1)
| ~ s_m(X1,X3,ins(X0,X1,X0,X2))
| ~ s_t(X0,ins(X0,X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_486279,c_480804]) ).
tcf(c_522968,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ins(X0,X1,X0,X2) = X1 )
| ~ le(X0,X2,X0,X1)
| ~ s_m(ins(X0,X1,X0,X2),ins(X0,X1,X0,X2),X1)
| ~ s_t(X0,ins(X0,X1,X0,X2),ins(X0,X1,X0,X2)) ),
inference(superposition,[status(thm)],[c_486277,c_480804]) ).
tcf(c_522971,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ins(X0,X1,X0,X2) = X1 )
| ~ le(X0,X2,X0,X1)
| ~ s_m(X1,ins(X0,X1,X0,X2),ins(X0,X1,X0,X2))
| ~ s_t(X0,ins(X0,X1,X0,X2),ins(X0,X1,X0,X2)) ),
inference(superposition,[status(thm)],[c_497526,c_480804]) ).
tcf(c_522973,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ins(X0,X1,X0,X2) = X1 )
| ~ le(X0,X2,X0,X1)
| ~ s_e(X0,X1,X0,X1)
| ~ s_t(X0,ins(X0,X1,X0,X2),X0) ),
inference(superposition,[status(thm)],[c_480799,c_480804]) ).
tcf(c_522974,plain,
! [X0: $i,X1: $i] :
( ( ins(X0,X0,X0,X0) = X0 )
| ~ le(X0,X0,X0,X0)
| ~ s_e(X1,X0,X1,X0)
| ~ s_t(X0,ins(X0,X0,X0,X0),X1) ),
inference(superposition,[status(thm)],[c_522860,c_480804]) ).
tcf(c_522998,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ins(X1,X0,X1,X2) = X0 )
| ~ le(X1,X2,X1,X0)
| ~ s_m(X0,ins(X1,X0,X1,X2),ins(X1,X0,X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_522971,c_72]) ).
tcf(c_523002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ins(X0,X1,X0,X2) = X1 )
| ~ le(X0,X2,X0,X1)
| ~ s_m(ins(X0,X1,X0,X2),ins(X0,X1,X0,X2),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_522968,c_72]) ).
tcf(c_523021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ins(X0,X2,X0,X3) = X2 )
| ~ le(X0,X3,X0,X2)
| ~ s_m(ins(X0,X2,X0,X3),X1,X2)
| ~ s_col(X0,X1,ins(X0,X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_240,c_480805]) ).
tcf(c_523022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ins(X0,X2,X0,X3) = X2 )
| ~ le(X0,X3,X0,X2)
| ~ s_m(X2,X1,ins(X0,X2,X0,X3))
| ~ s_col(X0,X1,ins(X0,X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_486279,c_480805]) ).
tcf(c_523023,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ins(X0,X1,X0,X2) = X1 )
| ( ins(X0,X1,X0,X2) = X0 )
| ~ le(X0,X2,X0,X1)
| ~ s_m(ins(X0,X1,X0,X2),ins(X0,X1,X0,X2),X1)
| ~ s_col(X0,ins(X0,X1,X0,X2),ins(X0,X1,X0,X2)) ),
inference(superposition,[status(thm)],[c_486277,c_480805]) ).
tcf(c_523026,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ins(X0,X1,X0,X2) = X1 )
| ( ins(X0,X1,X0,X2) = X0 )
| ~ le(X0,X2,X0,X1)
| ~ s_m(X1,ins(X0,X1,X0,X2),ins(X0,X1,X0,X2))
| ~ s_col(X0,ins(X0,X1,X0,X2),ins(X0,X1,X0,X2)) ),
inference(superposition,[status(thm)],[c_497526,c_480805]) ).
tcf(c_523029,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ins(X0,X0,X0,X0) = X0 )
| ~ le(X0,X0,X0,X0)
| ~ s_e(X1,X0,X1,X0)
| ~ s_col(X0,X1,ins(X0,X0,X0,X0)) ),
inference(superposition,[status(thm)],[c_522860,c_480805]) ).
tcf(c_523051,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ins(X0,X1,X0,X2) = X1 )
| ( ins(X0,X1,X0,X2) = X0 )
| ~ le(X0,X2,X0,X1)
| ~ s_m(ins(X0,X1,X0,X2),ins(X0,X1,X0,X2),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_523023,c_7182]) ).
tcf(c_523067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,ins(X0,X1,X0,X2),X4,X1)
| ( X0 = X3 )
| ~ s_col(X0,X3,X4)
| ~ le(X0,X2,X0,X1)
| ~ s_m(ins(X0,X1,X0,X2),X3,X1) ),
inference(superposition,[status(thm)],[c_240,c_480806]) ).
tcf(c_523068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,ins(X2,X0,X2,X3),X4,X0)
| ( X1 = X2 )
| ~ s_col(X2,X1,X4)
| ~ le(X2,X3,X2,X0)
| ~ s_m(X0,X1,ins(X2,X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_486279,c_480806]) ).
tcf(c_523069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,ins(X0,X1,X0,X2),X3,X1)
| ( ins(X0,X1,X0,X2) = X0 )
| ~ le(X0,X2,X0,X1)
| ~ s_col(X0,ins(X0,X1,X0,X2),X3)
| ~ s_m(ins(X0,X1,X0,X2),ins(X0,X1,X0,X2),X1) ),
inference(superposition,[status(thm)],[c_486277,c_480806]) ).
tcf(c_523072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,ins(X1,X0,X1,X2),X3,X0)
| ( ins(X1,X0,X1,X2) = X1 )
| ~ le(X1,X2,X1,X0)
| ~ s_col(X1,ins(X1,X0,X1,X2),X3)
| ~ s_m(X0,ins(X1,X0,X1,X2),ins(X1,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_497526,c_480806]) ).
tcf(c_523075,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,ins(X1,X1,X1,X1),X2,X1)
| ( X0 = X1 )
| ~ s_col(X1,X0,X2)
| ~ le(X1,X1,X1,X1)
| ~ s_e(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_522860,c_480806]) ).
tcf(c_523076,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,ins(X0,X0,X0,X0),X2,X0)
| ( X0 = X1 )
| ~ s_col(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_523075,c_119,c_61]) ).
tcf(c_523122,plain,
! [X0: $i,X1: $i] : ~ sameside(s(X0,s(X1,X0)),X1,s(X1,X0)),
inference(superposition,[status(thm)],[c_161,c_520064]) ).
tcf(c_523143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(s(X0,X1),X0,ext(s(X0,X1),X1,X2,X3)),
inference(superposition,[status(thm)],[c_161,c_517544]) ).
tcf(c_523145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X2,X1,ext(X2,s(X1,X2),X3,X4),X0,X1,X5) = X1 )
| ~ s_t(X2,X5,X0)
| ~ s_t(X0,X1,ext(X2,s(X1,X2),X3,X4)) ),
inference(superposition,[status(thm)],[c_517544,c_480316]) ).
tcf(c_523146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X0,X1,ext(X0,s(X1,X0),X2,X3),X4,X5,ext(X0,s(X1,X0),X2,X3)) = ext(X0,s(X1,X0),X2,X3) )
| ~ s_t(X4,X5,ext(X0,s(X1,X0),X2,X3))
| ~ s_t(X0,ext(X0,s(X1,X0),X2,X3),X4) ),
inference(superposition,[status(thm)],[c_517544,c_480254]) ).
tcf(c_523147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X1,ext(X0,s(X1,X0),X2,X3)) = ext(X0,s(X1,X0),X2,X3) ) ),
inference(superposition,[status(thm)],[c_517544,c_480013]) ).
tcf(c_523148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,ext(X0,s(X1,X0),X2,X3),X1) = ext(X0,s(X1,X0),X2,X3) ) ),
inference(superposition,[status(thm)],[c_517544,c_480011]) ).
tcf(c_523149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X1,X2,ext(X1,s(X2,X1),X3,X4),X0,X1) = X1 )
| ~ s_t(X0,X1,ext(X1,s(X2,X1),X3,X4)) ),
inference(superposition,[status(thm)],[c_517544,c_479924]) ).
tcf(c_523150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X2,X0,ext(X2,s(X0,X2),X3,X4),X0,X1) = X0 )
| ~ s_t(X0,X1,ext(X2,s(X0,X2),X3,X4)) ),
inference(superposition,[status(thm)],[c_517544,c_479914]) ).
tcf(c_523151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(ext(X0,s(X1,X0),X2,X3),X0,X1)
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 ) ),
inference(superposition,[status(thm)],[c_517544,c_238]) ).
tcf(c_523152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,X0,ext(X0,s(X1,X0),X2,X3))
| ( X0 = xb )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_517544,c_237]) ).
tcf(c_523153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,ext(X1,s(X0,X1),X2,X3),X1),
inference(superposition,[status(thm)],[c_517544,c_225]) ).
tcf(c_523154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(ext(X0,s(X1,X0),X2,X3),X0,X1),
inference(superposition,[status(thm)],[c_517544,c_224]) ).
tcf(c_523155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,X1,ext(X0,s(X1,X0),X2,X3)),
inference(superposition,[status(thm)],[c_517544,c_223]) ).
tcf(c_523156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X4 )
| ~ s_r(X0,X4,X1)
| ~ s_r(ext(X0,s(X1,X0),X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_517544,c_184]) ).
tcf(c_523157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,ext(X2,s(X1,X2),X3,X4))
| s_t(X0,X2,ext(X2,s(X1,X2),X3,X4))
| ( ext(X2,s(X1,X2),X3,X4) = X1 )
| ~ s_t(X0,X1,ext(X2,s(X1,X2),X3,X4)) ),
inference(superposition,[status(thm)],[c_517544,c_147]) ).
tcf(c_523158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X2)
| ( X1 = X2 )
| ( ext(X2,s(X1,X2),X3,X4) = X1 )
| ~ sameside(X0,X1,ext(X2,s(X1,X2),X3,X4)) ),
inference(superposition,[status(thm)],[c_517544,c_145]) ).
tcf(c_523159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,ext(X2,s(X1,X2),X3,X4))
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,s(X1,X2),X3,X4) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_143]) ).
tcf(c_523160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ sameside(X0,X1,ext(X0,s(X1,X0),X2,X3)),
inference(superposition,[status(thm)],[c_517544,c_133]) ).
tcf(c_523161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,s(X1,X2),X3,X4) = X1 )
| ~ s_t(X0,X1,ext(X2,s(X1,X2),X3,X4)) ),
inference(superposition,[status(thm)],[c_517544,c_131]) ).
tcf(c_523162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ext(X0,s(X1,X0),X3,X4))
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_125]) ).
tcf(c_523163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,X1)
| s_t(X0,X1,X2)
| ~ s_t(X0,X1,ext(X0,s(X2,X0),X3,X4)) ),
inference(superposition,[status(thm)],[c_517544,c_109]) ).
tcf(c_523164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,ext(X0,s(X1,X0),X3,X4))
| s_t(X1,ext(X0,s(X1,X0),X3,X4),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_108]) ).
tcf(c_523165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,ext(X0,s(X1,X0),X3,X4))
| s_t(X0,ext(X0,s(X1,X0),X3,X4),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_107]) ).
tcf(c_523166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,X4)
| ( ext(X1,s(X0,X1),X2,X3) = X0 )
| ~ s_t(X0,ext(X1,s(X0,X1),X2,X3),X4) ),
inference(superposition,[status(thm)],[c_517544,c_81]) ).
tcf(c_523167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X1,X4)
| ~ s_t(X0,ext(X0,s(X1,X0),X2,X3),X4) ),
inference(superposition,[status(thm)],[c_517544,c_80]) ).
tcf(c_523168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ext(X2,s(X0,X2),X3,X4))
| ~ s_t(X0,X1,ext(X2,s(X0,X2),X3,X4)) ),
inference(superposition,[status(thm)],[c_517544,c_79]) ).
tcf(c_523169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(X1,s(X0,X1),X2,X3),X4)
| ( ext(X1,s(X0,X1),X2,X3) = X0 )
| ~ s_t(X0,ext(X1,s(X0,X1),X2,X3),X4) ),
inference(superposition,[status(thm)],[c_517544,c_78]) ).
tcf(c_523170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(X0,s(X1,X0),X2,X3),X4)
| ~ s_t(X0,ext(X0,s(X1,X0),X2,X3),X4) ),
inference(superposition,[status(thm)],[c_517544,c_77]) ).
tcf(c_523171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,X1)
| ~ s_t(X0,X1,ext(X2,s(X0,X2),X3,X4)) ),
inference(superposition,[status(thm)],[c_517544,c_76]) ).
tcf(c_523172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ~ s_t(X0,X1,ext(X1,s(X0,X1),X2,X3)) ),
inference(superposition,[status(thm)],[c_517544,c_75]) ).
tcf(c_523173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(ext(X0,s(X1,X0),X2,X3),X1,X0),
inference(superposition,[status(thm)],[c_517544,c_73]) ).
tcf(c_523174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_t(X0,X1,ext(X0,s(ext(X0,X1,X2,X3),X0),X4,X5)),
inference(superposition,[status(thm)],[c_517544,c_480204]) ).
tcf(c_523175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_t(X0,ext(X1,X0,X2,X3),ext(X1,s(ext(X1,X0,X2,X3),X1),X4,X5)),
inference(superposition,[status(thm)],[c_517544,c_480134]) ).
tcf(c_523176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,ext(X0,s(s(X1,X0),X0),X2,X3)),
inference(superposition,[status(thm)],[c_517544,c_485960]) ).
tcf(c_523177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ins(X2,X3,X0,X1),ext(X0,s(ins(X2,X3,X0,X1),X0),X4,X5))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_517544,c_480744]) ).
tcf(c_523178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,ext(X0,s(ins(X2,X3,X0,X1),X0),X4,X5))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_517544,c_480741]) ).
tcf(c_523179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,ext(X1,s(ext(X0,X1,X2,X3),X1),X4,X5))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_517544,c_480227]) ).
tcf(c_523180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(X0,X1,X2,X3),ext(X1,s(ext(X0,X1,X2,X3),X1),X4,X5))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_517544,c_480157]) ).
tcf(c_523181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ins(X2,X3,X0,X1),ext(X1,s(ins(X2,X3,X0,X1),X1),X4,X5))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_517544,c_480743]) ).
tcf(c_523182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,ext(X1,s(ins(X2,X3,X0,X1),X1),X4,X5))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_517544,c_480740]) ).
tcf(c_523184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),s(X3,ip(X0,X1,X2,X3,X4)),X5,X6))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_480228]) ).
tcf(c_523185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X3,ext(ip(X0,X1,X2,X3,X4),s(X3,ip(X0,X1,X2,X3,X4)),X5,X6))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_480158]) ).
tcf(c_523186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),s(X0,ip(X0,X1,X2,X3,X4)),X5,X6))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_480229]) ).
tcf(c_523187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X0,ext(ip(X0,X1,X2,X3,X4),s(X0,ip(X0,X1,X2,X3,X4)),X5,X6))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_480159]) ).
tcf(c_523188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X3,ext(X1,s(ip(X0,X1,X2,X3,X4),X1),X5,X6))
| s_t(ip(X0,X1,X2,X3,X4),ext(X1,s(ip(X0,X1,X2,X3,X4),X1),X5,X6),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_480647]) ).
tcf(c_523189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X3,ext(X1,s(ip(X0,X1,X2,X3,X4),X1),X5,X6))
| s_t(X1,ext(X1,s(ip(X0,X1,X2,X3,X4),X1),X5,X6),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_480600]) ).
tcf(c_523190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X0,ext(X4,s(ip(X0,X1,X2,X3,X4),X4),X5,X6))
| s_t(ip(X0,X1,X2,X3,X4),ext(X4,s(ip(X0,X1,X2,X3,X4),X4),X5,X6),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_480648]) ).
tcf(c_523191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X0,ext(X4,s(ip(X0,X1,X2,X3,X4),X4),X5,X6))
| s_t(X4,ext(X4,s(ip(X0,X1,X2,X3,X4),X4),X5,X6),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_480601]) ).
tcf(c_523192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X3,X4,X2,X5,X1),X4,ext(X1,s(crossbar(X0,X3,X4,X2,X5,X1),X1),X6,X7))
| s_t(crossbar(X0,X3,X4,X2,X5,X1),ext(X1,s(crossbar(X0,X3,X4,X2,X5,X1),X1),X6,X7),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_480651]) ).
tcf(c_523193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X4,ext(X1,s(crossbar(X0,X3,X4,X2,X5,X1),X1),X6,X7))
| s_t(X1,ext(X1,s(crossbar(X0,X3,X4,X2,X5,X1),X1),X6,X7),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_480604]) ).
tcf(c_523194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X2,ext(crossbar(X0,X1,X2,X4,X5,X3),s(X2,crossbar(X0,X1,X2,X4,X5,X3)),X6,X7))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_480258]) ).
tcf(c_523195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X5,X3),ext(crossbar(X0,X1,X2,X4,X5,X3),s(X2,crossbar(X0,X1,X2,X4,X5,X3)),X6,X7))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_480255]) ).
tcf(c_523196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X1,X2,X4,X5,X3),X5,ext(X1,s(crossbar(X0,X1,X2,X4,X5,X3),X1),X6,X7))
| s_t(crossbar(X0,X1,X2,X4,X5,X3),ext(X1,s(crossbar(X0,X1,X2,X4,X5,X3),X1),X6,X7),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_480652]) ).
tcf(c_523197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X5,ext(X1,s(crossbar(X0,X1,X2,X4,X5,X3),X1),X6,X7))
| s_t(X1,ext(X1,s(crossbar(X0,X1,X2,X4,X5,X3),X1),X6,X7),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_480605]) ).
tcf(c_523198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X5,ext(crossbar(X0,X1,X2,X4,X5,X3),s(X5,crossbar(X0,X1,X2,X4,X5,X3)),X6,X7))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_480320]) ).
tcf(c_523199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),ext(crossbar(X0,X1,X2,X4,X5,X3),s(X5,crossbar(X0,X1,X2,X4,X5,X3)),X6,X7))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_480317]) ).
tcf(c_523485,plain,
! [X0: $i] : ext(X0,X0,X0,X0) = ins(X0,X0,X0,X0),
inference(superposition,[status(thm)],[c_480032,c_480881]) ).
tcf(c_523486,plain,
! [X0: $i,X1: $i] : s_col(X0,s(ins(X0,X1,X0,X1),X0),X1),
inference(superposition,[status(thm)],[c_480881,c_503149]) ).
tcf(c_523487,plain,
! [X0: $i,X1: $i] : s_col(s(ins(X0,X1,X0,X1),X0),X1,X0),
inference(superposition,[status(thm)],[c_480881,c_503148]) ).
tcf(c_523488,plain,
! [X0: $i,X1: $i] : s_t(s(ins(X0,X1,X0,X1),X0),X1,X0),
inference(superposition,[status(thm)],[c_480881,c_499667]) ).
tcf(c_523489,plain,
! [X0: $i,X1: $i] : s_col(X0,X1,s(ins(X0,X1,X0,X1),X0)),
inference(superposition,[status(thm)],[c_480881,c_499649]) ).
tcf(c_523490,plain,
! [X0: $i,X1: $i] : s_col(s(ins(X0,X1,X0,X1),X0),X0,X1),
inference(superposition,[status(thm)],[c_480881,c_499648]) ).
tcf(c_523491,plain,
! [X0: $i,X1: $i] : s_t(X0,X1,s(ins(X0,X1,X0,X1),X0)),
inference(superposition,[status(thm)],[c_480881,c_495727]) ).
tcf(c_523492,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,X2)
| ~ s_t(X0,ins(X0,X1,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_480881,c_480204]) ).
tcf(c_523493,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,ext(X0,X1,ext(ext(X1,X0,alpha,gamma),X0,X0,X1),X1),X2)
| ~ s_t(X0,ins(X0,X1,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_480881,c_480134]) ).
tcf(c_523494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X2,X3,X1)
| ~ s_t(X3,ext(ext(X1,X0,alpha,gamma),X0,X0,X1),X1)
| ~ s_t(X1,ext(X0,X1,ext(ext(X1,X0,alpha,gamma),X0,X0,X1),X1),X2)
| ~ s_e(ins(X0,X1,X0,X1),X2,X3,ext(ext(X1,X0,alpha,gamma),X0,X0,X1)) ),
inference(superposition,[status(thm)],[c_480881,c_480054]) ).
tcf(c_523495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X2,ext(ext(X0,X1,alpha,gamma),X1,X1,X0),X3)
| ~ s_e(ins(X1,X0,X1,X0),X2,X0,X3)
| ~ s_t(ext(ext(X0,X1,alpha,gamma),X1,X1,X0),X0,X3)
| ~ s_t(X0,ext(X1,X0,ext(ext(X0,X1,alpha,gamma),X1,X1,X0),X0),X2) ),
inference(superposition,[status(thm)],[c_480881,c_479988]) ).
tcf(c_523496,plain,
! [X0: $i,X1: $i] : ~ sameside(ins(X0,X1,X0,X1),X1,X0),
inference(superposition,[status(thm)],[c_480881,c_481337]) ).
tcf(c_523497,plain,
! [X0: $i,X1: $i] : ~ sameside(X0,X1,ins(X0,X1,X0,X1)),
inference(superposition,[status(thm)],[c_480881,c_481300]) ).
tcf(c_523498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X4,X3,X5)
| ( ext(X0,X1,ext(ext(X1,X0,alpha,gamma),X0,X0,X1),X1) = X1 )
| ~ s_e(ins(X0,X1,X0,X1),X4,X1,X5)
| ~ s_t(ext(ext(X1,X0,alpha,gamma),X0,X0,X1),X1,X3)
| ~ s_e(X1,X4,ext(ext(X1,X0,alpha,gamma),X0,X0,X1),X5)
| ~ s_t(X1,ext(X0,X1,ext(ext(X1,X0,alpha,gamma),X0,X0,X1),X1),X2)
| ~ s_e(ext(X0,X1,ext(ext(X1,X0,alpha,gamma),X0,X0,X1),X1),X2,X1,X3) ),
inference(superposition,[status(thm)],[c_480881,c_479887]) ).
tcf(c_523499,plain,
! [X0: $i,X1: $i] : s_e(ins(X0,X1,X0,X1),X1,X1,ext(ext(X1,X0,alpha,gamma),X0,X0,X1)),
inference(superposition,[status(thm)],[c_480881,c_480040]) ).
tcf(c_523500,plain,
! [X0: $i,X1: $i] : s_e(ins(X0,X1,X0,X1),X1,ext(ext(X1,X0,alpha,gamma),X0,X0,X1),X1),
inference(superposition,[status(thm)],[c_480881,c_479960]) ).
tcf(c_523501,plain,
! [X0: $i,X1: $i] : s_col(X0,ins(X0,X1,X0,X1),X1),
inference(superposition,[status(thm)],[c_480881,c_484720]) ).
tcf(c_523502,plain,
! [X0: $i,X1: $i] : s_col(ins(X0,X1,X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_480881,c_484709]) ).
tcf(c_523503,plain,
! [X0: $i,X1: $i] : s_col(ins(X0,X1,X0,X1),X1,X0),
inference(superposition,[status(thm)],[c_480881,c_484605]) ).
tcf(c_523504,plain,
! [X0: $i,X1: $i] : s_col(X0,X1,ins(X0,X1,X0,X1)),
inference(superposition,[status(thm)],[c_480881,c_484594]) ).
tcf(c_523505,plain,
! [X0: $i,X1: $i] : s_t(ins(X0,X1,X0,X1),X1,X0),
inference(superposition,[status(thm)],[c_480881,c_480073]) ).
tcf(c_523506,plain,
! [X0: $i,X1: $i] : s_t(X0,X1,ins(X0,X1,X0,X1)),
inference(superposition,[status(thm)],[c_480881,c_52]) ).
tcf(c_523507,plain,
! [X0: $i,X1: $i] : s_col(X0,X1,s(ins(X1,X0,X1,X0),X1)),
inference(superposition,[status(thm)],[c_480881,c_503147]) ).
tcf(c_523508,plain,
! [X0: $i,X1: $i] : s_col(X0,s(ins(X1,X0,X1,X0),X1),X1),
inference(superposition,[status(thm)],[c_480881,c_499647]) ).
tcf(c_523509,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X0,X2)
| ( ext(X1,X0,ext(ext(X0,X1,alpha,gamma),X1,X1,X0),X0) = X0 )
| ~ s_t(X0,ins(X1,X0,X1,X0),X2) ),
inference(superposition,[status(thm)],[c_480881,c_480227]) ).
tcf(c_523510,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,ext(X1,X0,ext(ext(X0,X1,alpha,gamma),X1,X1,X0),X0),X2)
| ( ext(X1,X0,ext(ext(X0,X1,alpha,gamma),X1,X1,X0),X0) = X0 )
| ~ s_t(X0,ins(X1,X0,X1,X0),X2) ),
inference(superposition,[status(thm)],[c_480881,c_480157]) ).
tcf(c_523511,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ s_t(X0,X1,ins(X1,X0,X1,X0)) ),
inference(superposition,[status(thm)],[c_480881,c_480090]) ).
tcf(c_523512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(ext(ext(X0,X1,alpha,gamma),X1,X1,X0),X0,X2,X3)
| ~ s_e(X0,ins(X1,X0,X1,X0),X2,X3) ),
inference(superposition,[status(thm)],[c_480881,c_479867]) ).
tcf(c_523513,plain,
! [X0: $i,X1: $i] : s_e(X0,ins(X1,X0,X1,X0),X0,ext(ext(X0,X1,alpha,gamma),X1,X1,X0)),
inference(superposition,[status(thm)],[c_480881,c_479974]) ).
tcf(c_523514,plain,
! [X0: $i,X1: $i] : s_col(X0,X1,ins(X1,X0,X1,X0)),
inference(superposition,[status(thm)],[c_480881,c_484758]) ).
tcf(c_523515,plain,
! [X0: $i,X1: $i] : s_col(X0,ins(X1,X0,X1,X0),X1),
inference(superposition,[status(thm)],[c_480881,c_484747]) ).
tcf(c_523516,plain,
! [X0: $i,X1: $i] : s_e(X0,ins(X1,X0,X1,X0),ext(ext(X0,X1,alpha,gamma),X1,X1,X0),X0),
inference(superposition,[status(thm)],[c_480881,c_53]) ).
tcf(c_523517,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,ins(X0,X1,X0,X1),X2)
| s_t(X1,X2,ext(X0,X1,ext(ext(X1,X0,alpha,gamma),X0,X0,X1),X1))
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480881,c_480646]) ).
tcf(c_523518,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X2,ins(X0,X1,X0,X1))
| s_t(X1,ext(X0,X1,ext(ext(X1,X0,alpha,gamma),X0,X0,X1),X1),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480881,c_480646]) ).
tcf(c_523519,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,ins(X0,X1,X0,X1),X2)
| s_t(X0,X2,ext(X0,X1,ext(ext(X1,X0,alpha,gamma),X0,X0,X1),X1))
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480881,c_480599]) ).
tcf(c_523520,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,ins(X0,X1,X0,X1))
| s_t(X0,ext(X0,X1,ext(ext(X1,X0,alpha,gamma),X0,X0,X1),X1),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480881,c_480599]) ).
tcf(c_523521,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e3(ext(ext(X0,ext(X1,X0,alpha,gamma),alpha,gamma),ext(X1,X0,alpha,gamma),ext(X1,X0,alpha,gamma),X0),X0,X2,X0,ins(ext(X1,X0,alpha,gamma),X0,ext(X1,X0,alpha,gamma),X0),X1)
| ~ s_t(ext(ext(X0,ext(X1,X0,alpha,gamma),alpha,gamma),ext(X1,X0,alpha,gamma),ext(X1,X0,alpha,gamma),X0),X0,X2)
| ~ s_e(ext(ext(X0,ext(X1,X0,alpha,gamma),alpha,gamma),ext(X1,X0,alpha,gamma),ext(X1,X0,alpha,gamma),X0),X2,X0,X1) ),
inference(superposition,[status(thm)],[c_480881,c_92]) ).
tcf(c_523522,plain,
! [X0: $i,X1: $i] :
( s_t(X0,ins(ext(X1,X0,alpha,gamma),X0,ext(X1,X0,alpha,gamma),X0),X1)
| ~ le(ext(ext(X0,ext(X1,X0,alpha,gamma),alpha,gamma),ext(X1,X0,alpha,gamma),ext(X1,X0,alpha,gamma),X0),X0,X0,X1) ),
inference(superposition,[status(thm)],[c_480881,c_231]) ).
tcf(c_523523,plain,
! [X0: $i,X1: $i] :
( sameside(ins(ext(X1,X0,alpha,gamma),X0,ext(X1,X0,alpha,gamma),X0),X0,X1)
| ( X0 = X1 )
| ( ext(ext(X0,ext(X1,X0,alpha,gamma),alpha,gamma),ext(X1,X0,alpha,gamma),ext(X1,X0,alpha,gamma),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_480881,c_138]) ).
tcf(c_523524,plain,
! [X0: $i,X1: $i] : s_e(ext(ext(X0,X1,alpha,gamma),X1,X1,X0),X0,X0,ins(X1,X0,X1,X0)),
inference(superposition,[status(thm)],[c_480881,c_479942]) ).
tcf(c_523525,plain,
! [X0: $i,X1: $i] : s_e(X0,ext(ext(X0,X1,alpha,gamma),X1,X1,X0),X0,ins(X1,X0,X1,X0)),
inference(superposition,[status(thm)],[c_480881,c_488569]) ).
tcf(c_523526,plain,
! [X0: $i,X1: $i] : s_e(ext(ext(X0,X1,alpha,gamma),X1,X1,X0),X0,ins(X1,X0,X1,X0),X0),
inference(superposition,[status(thm)],[c_480881,c_488568]) ).
tcf(c_523527,plain,
! [X0: $i,X1: $i] : s_e(X0,ext(ext(X0,X1,alpha,gamma),X1,X1,X0),ins(X1,X0,X1,X0),X0),
inference(superposition,[status(thm)],[c_480881,c_488565]) ).
tcf(c_523528,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(ext(ext(X0,X2,alpha,gamma),X2,X2,X0),ext(ext(X0,ext(ext(X0,X2,alpha,gamma),X2,X2,X0),alpha,gamma),ext(ext(X0,X2,alpha,gamma),X2,X2,X0),X0,X1),X0)
| ~ s_t(X0,X1,ins(X2,X0,X2,X0)) ),
inference(superposition,[status(thm)],[c_480881,c_480407]) ).
tcf(c_523529,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,ext(X2,X0,ext(ext(X0,X2,alpha,gamma),X2,X2,X0),X0))
| ~ s_t(X0,X1,ins(X2,X0,X2,X0)) ),
inference(superposition,[status(thm)],[c_480881,c_480181]) ).
tcf(c_523530,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,X1)
| ~ s_t(X0,X1,ins(X2,X0,X2,X0)) ),
inference(superposition,[status(thm)],[c_480881,c_480111]) ).
tcf(c_523531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,ins(X1,X0,X1,X0),X2,X3)
| ~ s_e(ext(ext(X0,X1,alpha,gamma),X1,X1,X0),X0,X2,X3) ),
inference(superposition,[status(thm)],[c_480881,c_479951]) ).
tcf(c_523532,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,X1)
| s_t(X0,X1,X2)
| ~ s_t(X0,X1,ins(X0,X2,X0,X2)) ),
inference(superposition,[status(thm)],[c_480881,c_480701]) ).
tcf(c_523533,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,ext(ext(X1,X2,alpha,gamma),X2,X2,X1),X1) = ext(X2,X1,ext(ext(X1,X2,alpha,gamma),X2,X2,X1),X1) )
| ~ s_t(X0,X1,ins(X2,X1,X2,X1)) ),
inference(superposition,[status(thm)],[c_480881,c_480012]) ).
tcf(c_523534,plain,
! [X0: $i,X1: $i] : s_t(X0,X1,ins(X0,s(X1,X0),X0,s(X1,X0))),
inference(superposition,[status(thm)],[c_480881,c_517544]) ).
tcf(c_523535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X1,ext(ext(X0,X2,alpha,gamma),X2,X2,X0),X3)
| ~ s_e(X1,ins(X2,X0,X2,X0),X3,X0)
| ~ s_t(ext(ext(X0,X2,alpha,gamma),X2,X2,X0),X3,X0)
| ~ s_t(X0,X1,ext(X2,X0,ext(ext(X0,X2,alpha,gamma),X2,X2,X0),X0)) ),
inference(superposition,[status(thm)],[c_480881,c_480381]) ).
tcf(c_523551,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,ins(X0,X1,X0,X1),X2)
| ~ s_t(X0,ins(X0,X1,X0,X1),X2) ),
inference(light_normalisation,[status(thm)],[c_523493,c_480881]) ).
tcf(c_523557,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,ins(X0,X1,X0,X1))
| s_t(X0,ins(X0,X1,X0,X1),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(light_normalisation,[status(thm)],[c_523520,c_480881]) ).
tcf(c_523563,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X2,ins(X0,X1,X0,X1))
| s_t(X1,ins(X0,X1,X0,X1),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(light_normalisation,[status(thm)],[c_523518,c_480881]) ).
tcf(c_523590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X2,X3,X1)
| ~ s_t(X1,ins(X0,X1,X0,X1),X2)
| ~ s_t(X3,ext(ext(X1,X0,alpha,gamma),X0,X0,X1),X1)
| ~ s_e(ins(X0,X1,X0,X1),X2,X3,ext(ext(X1,X0,alpha,gamma),X0,X0,X1)) ),
inference(light_normalisation,[status(thm)],[c_523494,c_480881]) ).
tcf(c_523598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X5,X1,X4,X3)
| ( ins(X2,X0,X2,X0) = X0 )
| ~ s_t(X0,ins(X2,X0,X2,X0),X5)
| ~ s_e(ins(X2,X0,X2,X0),X5,X0,X4)
| ~ s_e(ins(X2,X0,X2,X0),X1,X0,X3)
| ~ s_t(ext(ext(X0,X2,alpha,gamma),X2,X2,X0),X0,X4)
| ~ s_e(X0,X1,ext(ext(X0,X2,alpha,gamma),X2,X2,X0),X3) ),
inference(light_normalisation,[status(thm)],[c_523498,c_480881]) ).
tcf(c_523877,plain,
! [X0: $i,X1: $i,X2: $i] : ext(X0,X0,X1,X2) = ins(X1,X2,X0,X0),
inference(demodulation,[status(thm)],[c_480882,c_480032]) ).
tcf(c_523878,plain,
! [X0: $i,X1: $i] : ext(X0,X0,X1,X1) = X0,
inference(demodulation,[status(thm)],[c_522860,c_523877]) ).
tcf(c_523879,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X2,X0,ext(X0,X0,X1,X2))
| ~ le(X0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523877,c_480800]) ).
tcf(c_523880,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(ext(X0,X0,X1,X2),X0,X1,X2)
| ~ le(X0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523877,c_480798]) ).
tcf(c_523881,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,ext(X0,X0,X1,X2),X2,X1)
| ~ le(X0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523877,c_480797]) ).
tcf(c_523882,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(ext(X0,X0,X1,X2),X0,X2,X1)
| ~ le(X0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523877,c_480794]) ).
tcf(c_523883,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(ext(X0,X0,X1,X2),X0,X0)
| ~ le(X0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523877,c_480747]) ).
tcf(c_523888,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,ext(X0,X0,X1,X2),X1,X2)
| ~ le(X0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523877,c_111]) ).
tcf(c_523889,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X0,ext(X0,X0,X1,X2))
| ~ le(X0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523877,c_110]) ).
tcf(c_523890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X2,X3,X4)
| ~ le(X0,X0,X1,X2)
| ~ s_e(X0,ext(X0,X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_523877,c_480802]) ).
tcf(c_523891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ins(X1,X2,X0,X0),X3)
| ~ le(X0,X0,X1,X2)
| ~ s_t(X0,ext(X0,X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_523877,c_480744]) ).
tcf(c_523892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X0,X3)
| ~ le(X0,X0,X1,X2)
| ~ s_t(X0,ext(X0,X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_523877,c_480741]) ).
tcf(c_523894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,ins(X2,X3,X0,X0))
| ~ le(X0,X0,X2,X3)
| ~ s_t(X0,X1,ext(X0,X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_523877,c_480742]) ).
tcf(c_523896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ le(X0,X0,X2,X3)
| ~ s_t(X0,X1,ext(X0,X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_523877,c_480791]) ).
tcf(c_523898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,ext(X4,X4,X0,X1),X2,X3)
| ~ le(X4,X4,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_523877,c_480799]) ).
tcf(c_523899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ins(X1,X2,X0,X0),X3)
| ( ins(X1,X2,X0,X0) = X0 )
| ~ le(X0,X0,X1,X2)
| ~ s_t(X0,ext(X0,X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_523877,c_480743]) ).
tcf(c_523900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X0,X3)
| ( ins(X1,X2,X0,X0) = X0 )
| ~ le(X0,X0,X1,X2)
| ~ s_t(X0,ext(X0,X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_523877,c_480740]) ).
tcf(c_523901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X3,X6,X4)
| ( ins(X1,X2,X0,X0) = X0 )
| ~ s_t(X1,X2,X6)
| ~ le(X0,X0,X1,X2)
| ~ s_e(X0,X3,X1,X4)
| ~ s_t(X0,ins(X1,X2,X0,X0),X5)
| ~ s_e(ins(X1,X2,X0,X0),X5,X2,X6)
| ~ s_e(ext(X0,X0,X1,X2),X3,X2,X4) ),
inference(superposition,[status(thm)],[c_523877,c_480801]) ).
tcf(c_523902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X3,X1,X4)
| ~ s_t(X1,X2,X4)
| ~ le(X0,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X0),X3)
| ~ s_e(ext(X0,X0,X1,X2),X3,X2,X4) ),
inference(superposition,[status(thm)],[c_523877,c_480796]) ).
tcf(c_523903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X3,X4,X2)
| ~ s_t(X4,X1,X2)
| ~ le(X0,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X0),X3)
| ~ s_e(ext(X0,X0,X1,X2),X3,X4,X1) ),
inference(superposition,[status(thm)],[c_523877,c_480793]) ).
tcf(c_523904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,ins(X1,X2,X1,X1),X3,X2)
| ( X0 = X1 )
| ~ s_col(X1,X0,X3)
| ~ le(X1,X1,X1,X2)
| ~ s_e(X0,ext(X1,X1,X1,X2),X0,X2) ),
inference(superposition,[status(thm)],[c_523877,c_480806]) ).
tcf(c_523905,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ins(X1,X2,X1,X1) = X2 )
| ~ le(X1,X1,X1,X2)
| ~ s_col(X1,X0,ins(X1,X2,X1,X1))
| ~ s_e(X0,ext(X1,X1,X1,X2),X0,X2) ),
inference(superposition,[status(thm)],[c_523877,c_480805]) ).
tcf(c_523906,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ins(X1,X2,X1,X1) = X2 )
| ~ le(X1,X1,X1,X2)
| ~ s_t(X1,ins(X1,X2,X1,X1),X0)
| ~ s_e(X0,ext(X1,X1,X1,X2),X0,X2) ),
inference(superposition,[status(thm)],[c_523877,c_480804]) ).
tcf(c_523907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = ins(X2,X3,X1,X1) )
| ~ le(X1,X1,X2,X3)
| ~ s_t(X0,X1,ext(X1,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_523877,c_480795]) ).
tcf(c_523908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X0,X2,X4)
| ~ s_t(X2,X4,X3)
| ~ le(X1,X1,X2,X3)
| ~ s_t(X1,X0,ins(X2,X3,X1,X1))
| ~ s_e(X0,ext(X1,X1,X2,X3),X4,X3) ),
inference(superposition,[status(thm)],[c_523877,c_480792]) ).
tcf(c_523909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,ext(X4,X4,X0,X1),X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_523898,c_119]) ).
tcf(c_523912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X2,X3,X4)
| ~ s_e(X0,ext(X0,X0,X1,X2),X3,X4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_523890,c_119]) ).
tcf(c_523915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,ins(X2,X3,X0,X0))
| ~ s_t(X0,X1,ext(X0,X0,X2,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_523894,c_119]) ).
tcf(c_523919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X0,X3)
| ( ext(X0,X0,X1,X2) = X0 )
| ~ le(X0,X0,X1,X2)
| ~ s_t(X0,ext(X0,X0,X1,X2),X3) ),
inference(light_normalisation,[status(thm)],[c_523900,c_523877]) ).
tcf(c_523920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ~ s_t(X0,X1,ext(X0,X0,X2,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_523896,c_119]) ).
tcf(c_523923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = ins(X2,X3,X1,X1) )
| ~ s_t(X0,X1,ext(X1,X1,X2,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_523907,c_119]) ).
tcf(c_523928,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ins(X1,X2,X1,X1) = X2 )
| ~ s_t(X1,ins(X1,X2,X1,X1),X0)
| ~ s_e(X0,ext(X1,X1,X1,X2),X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_523906,c_119]) ).
tcf(c_523932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,ins(X1,X2,X1,X1),X3,X2)
| ( X0 = X1 )
| ~ s_col(X1,X0,X3)
| ~ s_e(X0,ext(X1,X1,X1,X2),X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_523904,c_119]) ).
tcf(c_523937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X0,X2,X4)
| ~ s_t(X2,X4,X3)
| ~ s_t(X1,X0,ins(X2,X3,X1,X1))
| ~ s_e(X0,ext(X1,X1,X2,X3),X4,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_523908,c_119]) ).
tcf(c_523942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X3,X4,X2)
| ~ s_t(X4,X1,X2)
| ~ le(X0,X0,X1,X2)
| ~ s_t(X0,ext(X0,X0,X1,X2),X3)
| ~ s_e(ext(X0,X0,X1,X2),X3,X4,X1) ),
inference(light_normalisation,[status(thm)],[c_523903,c_523877]) ).
tcf(c_523943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X3,X4,X2)
| ~ s_t(X4,X1,X2)
| ~ s_t(X0,ext(X0,X0,X1,X2),X3)
| ~ s_e(ext(X0,X0,X1,X2),X3,X4,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_523942,c_119]) ).
tcf(c_523948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X3,X1,X4)
| ~ s_t(X1,X2,X4)
| ~ le(X0,X0,X1,X2)
| ~ s_t(X0,ext(X0,X0,X1,X2),X3)
| ~ s_e(ext(X0,X0,X1,X2),X3,X2,X4) ),
inference(light_normalisation,[status(thm)],[c_523902,c_523877]) ).
tcf(c_523949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X3,X1,X4)
| ~ s_t(X1,X2,X4)
| ~ s_t(X0,ext(X0,X0,X1,X2),X3)
| ~ s_e(ext(X0,X0,X1,X2),X3,X2,X4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_523948,c_119]) ).
tcf(c_523954,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ins(X1,X2,X1,X1) = X2 )
| ~ s_col(X1,X0,ins(X1,X2,X1,X1))
| ~ s_e(X0,ext(X1,X1,X1,X2),X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_523905,c_119]) ).
tcf(c_523959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X3,X6,X4)
| ( ext(X0,X0,X1,X2) = X0 )
| ~ s_t(X1,X2,X6)
| ~ le(X0,X0,X1,X2)
| ~ s_e(X0,X3,X1,X4)
| ~ s_t(X0,ext(X0,X0,X1,X2),X5)
| ~ s_e(ext(X0,X0,X1,X2),X5,X2,X6)
| ~ s_e(ext(X0,X0,X1,X2),X3,X2,X4) ),
inference(light_normalisation,[status(thm)],[c_523901,c_523877]) ).
tcf(c_523960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_e(X5,X3,X6,X4)
| ( ext(X0,X0,X1,X2) = X0 )
| ~ s_t(X1,X2,X6)
| ~ s_e(X0,X3,X1,X4)
| ~ s_t(X0,ext(X0,X0,X1,X2),X5)
| ~ s_e(ext(X0,X0,X1,X2),X5,X2,X6)
| ~ s_e(ext(X0,X0,X1,X2),X3,X2,X4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_523959,c_119]) ).
tcf(c_523989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X1,ip(X6,X1,X5,ext(X0,X1,X2,X3),X4),X2,X3)
| ~ s_t(X6,X1,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_56,c_480890]) ).
tcf(c_523990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X1,ip(ext(X0,X1,X2,X3),X4,X5,X6,X1),X2,X3)
| ~ s_t(X6,X1,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_57,c_480890]) ).
tcf(c_523991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : le(X0,ext(X1,X0,X2,X3),X2,X3),
inference(superposition,[status(thm)],[c_72,c_480890]) ).
tcf(c_523993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X3,crossbar(X0,X1,ext(X2,X3,X4,X5),X6,X7,X3),X4,X5)
| ~ s_t(X0,X3,X6)
| ~ s_t(X6,X7,ext(X2,X3,X4,X5))
| ~ s_t(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_87,c_480890]) ).
tcf(c_523994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X2,crossbar(X6,X2,X5,X0,ext(X1,X2,X3,X4),X7),X3,X4)
| ~ s_t(X6,X7,X0)
| ~ s_t(X6,X2,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_88,c_480890]) ).
tcf(c_523995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X2,ext(ext(ext(X3,X2,X4,X5),X2,alpha,gamma),X2,X0,X1),X4,X5)
| ~ le(X0,X1,X2,ext(X3,X2,X4,X5)) ),
inference(superposition,[status(thm)],[c_231,c_480890]) ).
tcf(c_523996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X0,ins(X5,X6,X0,X1),X3,X4)
| s_t(X0,ext(X2,X0,X3,X4),ins(X5,X6,X0,X1))
| ( X0 = X1 )
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480739,c_480890]) ).
tcf(c_523997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X1,ins(X5,X6,X0,X1),X3,X4)
| s_t(X1,ext(X2,X1,X3,X4),ins(X5,X6,X0,X1))
| ( X0 = X1 )
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480738,c_480890]) ).
tcf(c_523998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X0,ip(X5,X0,X6,X4,X7),X2,X3)
| s_t(X0,ext(X1,X0,X2,X3),ip(X5,X0,X6,X4,X7))
| ~ s_t(X5,X0,X6)
| ~ s_t(X4,X7,X6)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480702,c_480890]) ).
tcf(c_523999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X0,ip(X5,X0,X6,X1,X7),X3,X4)
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X7,X6)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480205,c_480890]) ).
tcf(c_524000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(ip(X3,X0,X4,X1,X5),X1,X6,X7)
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X5,X4)
| ~ s_t(X0,X1,ext(X2,ip(X3,X0,X4,X1,X5),X6,X7)) ),
inference(superposition,[status(thm)],[c_480135,c_480890]) ).
tcf(c_524001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X2,ip(X0,ext(X1,X2,X3,X4),X5,X2,X6),X3,X4)
| ~ s_t(X2,X6,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480074,c_480890]) ).
tcf(c_524002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X0,ip(X4,X5,X6,X7,X0),X2,X3)
| s_t(X0,ext(X1,X0,X2,X3),ip(X4,X5,X6,X7,X0))
| ~ s_t(X7,X0,X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480703,c_480890]) ).
tcf(c_524003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X0,ip(X1,X5,X6,X7,X0),X3,X4)
| ~ s_t(X7,X0,X6)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480206,c_480890]) ).
tcf(c_524004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(ip(X1,X3,X4,X5,X0),X1,X6,X7)
| ~ s_t(X5,X0,X4)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,ext(X2,ip(X1,X3,X4,X5,X0),X6,X7)) ),
inference(superposition,[status(thm)],[c_480136,c_480890]) ).
tcf(c_524005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X2,ip(X2,X6,X5,X0,ext(X1,X2,X3,X4)),X3,X4)
| ~ s_t(X2,X6,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480075,c_480890]) ).
tcf(c_524006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X0,ext(X0,X1,X5,X6),X3,X4)
| s_t(X0,ext(X2,X0,X3,X4),ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480599,c_480890]) ).
tcf(c_524008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X1,ext(X0,X1,X5,X6),X3,X4)
| s_t(X1,ext(X2,X1,X3,X4),ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480646,c_480890]) ).
tcf(c_524009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X1,X2,X3,X4)
| s_t(X1,ext(X0,X1,X3,X4),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480646,c_480890]) ).
tcf(c_524010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X1,ext(ext(ext(X0,X1,X2,X3),X1,alpha,gamma),X1,ext(X0,X1,X2,X3),X4),X2,X3)
| ~ s_t(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_480406,c_480890]) ).
tcf(c_524011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,ext(ext(ext(X2,X0,X3,X4),X0,alpha,gamma),X0,X0,X1),X3,X4)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480408,c_480890]) ).
tcf(c_524012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( le(X0,crossbar(X5,X6,X4,X7,X8,X0),X2,X3)
| s_t(X0,ext(X1,X0,X2,X3),crossbar(X5,X6,X4,X7,X8,X0))
| ~ s_t(X7,X8,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X5,X0,X7)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480706,c_480890]) ).
tcf(c_524013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( le(X0,crossbar(X5,X6,X1,X7,X8,X0),X3,X4)
| ~ s_t(X7,X8,X1)
| ~ s_t(X5,X6,X1)
| ~ s_t(X5,X0,X7)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480256,c_480890]) ).
tcf(c_524014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( le(crossbar(X3,X4,X1,X5,X6,X0),X1,X7,X8)
| ~ s_t(X5,X6,X1)
| ~ s_t(X3,X4,X1)
| ~ s_t(X3,X0,X5)
| ~ s_t(X0,X1,ext(X2,crossbar(X3,X4,X1,X5,X6,X0),X7,X8)) ),
inference(superposition,[status(thm)],[c_480259,c_480890]) ).
tcf(c_524015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X2,crossbar(X0,X6,X2,X5,X7,ext(X1,X2,X3,X4)),X3,X4)
| ~ s_t(X5,X7,X2)
| ~ s_t(X0,X6,X2)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480262,c_480890]) ).
tcf(c_524016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( le(X0,crossbar(X5,X0,X6,X8,X1,X7),X3,X4)
| ~ s_t(X8,X1,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_480318,c_480890]) ).
tcf(c_524017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( le(crossbar(X3,X0,X4,X5,X1,X6),X1,X7,X8)
| ~ s_t(X5,X1,X4)
| ~ s_t(X3,X6,X5)
| ~ s_t(X3,X0,X4)
| ~ s_t(X0,X1,ext(X2,crossbar(X3,X0,X4,X5,X1,X6),X7,X8)) ),
inference(superposition,[status(thm)],[c_480321,c_480890]) ).
tcf(c_524018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( le(X0,crossbar(X5,X0,X6,X8,X4,X7),X2,X3)
| s_t(X0,ext(X1,X0,X2,X3),crossbar(X5,X0,X6,X8,X4,X7))
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480707,c_480890]) ).
tcf(c_524019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X2,crossbar(X0,ext(X1,X2,X3,X4),X5,X7,X2,X6),X3,X4)
| ~ s_t(X7,X2,X5)
| ~ s_t(X0,X6,X7)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480324,c_480890]) ).
tcf(c_524021,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,ext(ext(X0,X2,alpha,gamma),X2,X2,X0),X0)
| ~ s_t(X0,X1,ins(X2,X0,X2,X0)) ),
inference(superposition,[status(thm)],[c_480881,c_480890]) ).
tcf(c_524216,plain,
! [X0: $i] : s_col(X0,ext(X0,X0,X0,X0),X0),
inference(superposition,[status(thm)],[c_523877,c_523501]) ).
tcf(c_524218,plain,
! [X0: $i,X1: $i] :
( ( ins(X0,X1,X0,X1) = X1 )
| ( ins(X0,X1,X0,X1) = X0 )
| ~ s_r(X0,ins(X0,X1,X0,X1),X1) ),
inference(superposition,[status(thm)],[c_523501,c_187]) ).
tcf(c_524219,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,X0,X2)
| ( ins(X0,X1,X0,X1) = X0 )
| ~ s_r(ins(X0,X1,X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_523501,c_181]) ).
tcf(c_524220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X1 = X2 )
| ( ins(X0,X1,X0,X1) = X0 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X1)
| ~ s_col(X0,ins(X0,X1,X0,X1),X3)
| ~ s_col(X0,ins(X0,X1,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_523501,c_152]) ).
tcf(c_524221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| ( X1 = X2 )
| ( ins(X0,X1,X0,X1) = X0 )
| ~ s_col(X0,ins(X0,X1,X0,X1),X3)
| ~ s_col(X0,ins(X0,X1,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_523501,c_151]) ).
tcf(c_524222,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ( ins(X0,X1,X0,X1) = X0 )
| ~ s_col(X0,ins(X0,X1,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_523501,c_148]) ).
tcf(c_524223,plain,
! [X0: $i,X1: $i] :
( sameside(X0,ins(X0,X1,X0,X1),X1)
| s_t(X0,ins(X0,X1,X0,X1),X1) ),
inference(superposition,[status(thm)],[c_523501,c_134]) ).
tcf(c_524229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,ins(X0,X1,X0,X1),X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X1 = X2 )
| ( ins(X0,X1,X0,X1) = X0 )
| ~ s_r(X1,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,ins(X0,X1,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_523501,c_200]) ).
tcf(c_524264,plain,
! [X0: $i] : s_col(ext(X0,X0,X0,X0),X0,X0),
inference(superposition,[status(thm)],[c_523877,c_523502]) ).
tcf(c_524266,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ins(X0,X1,X0,X1) = X0 )
| ~ s_r(ins(X0,X1,X0,X1),X0,X1) ),
inference(superposition,[status(thm)],[c_523502,c_187]) ).
tcf(c_524267,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,ins(X0,X1,X0,X1),X2)
| ( ins(X0,X1,X0,X1) = X0 )
| ~ s_r(X0,ins(X0,X1,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_523502,c_181]) ).
tcf(c_524268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X1 = X2 )
| ( ins(X0,X1,X0,X1) = X0 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X1)
| ~ s_col(ins(X0,X1,X0,X1),X0,X3)
| ~ s_col(ins(X0,X1,X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_523502,c_152]) ).
tcf(c_524269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| ( X1 = X2 )
| ( ins(X0,X1,X0,X1) = X0 )
| ~ s_col(ins(X0,X1,X0,X1),X0,X3)
| ~ s_col(ins(X0,X1,X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_523502,c_151]) ).
tcf(c_524270,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(ins(X0,X1,X0,X1),X1,X2)
| ( ins(X0,X1,X0,X1) = X1 )
| ( ins(X0,X1,X0,X1) = X0 )
| ~ s_col(ins(X0,X1,X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_523502,c_148]) ).
tcf(c_524271,plain,
! [X0: $i,X1: $i] :
( sameside(ins(X0,X1,X0,X1),X0,X1)
| s_t(ins(X0,X1,X0,X1),X0,X1) ),
inference(superposition,[status(thm)],[c_523502,c_134]) ).
tcf(c_524277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(ins(X0,X1,X0,X1),X0,X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X1 = X2 )
| ( ins(X0,X1,X0,X1) = X0 )
| ~ s_r(X1,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(ins(X0,X1,X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_523502,c_200]) ).
tcf(c_524318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X2,ip(X6,X2,X5,ins(X0,X1,X2,X3),X4),X0,X1)
| ~ s_t(X6,X2,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_56,c_480893]) ).
tcf(c_524319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X2,ip(ins(X0,X1,X2,X3),X4,X5,X6,X2),X0,X1)
| ~ s_t(X6,X2,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_57,c_480893]) ).
tcf(c_524320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,ins(X2,X3,X0,X1),X2,X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_72,c_480893]) ).
tcf(c_524321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X0,X2,X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_74,c_480893]) ).
tcf(c_524322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X4,crossbar(X0,X1,ins(X2,X3,X4,X5),X6,X7,X4),X2,X3)
| ~ s_t(X0,X4,X6)
| ~ le(X4,X5,X2,X3)
| ~ s_t(X6,X7,ins(X2,X3,X4,X5))
| ~ s_t(X0,X1,ins(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_87,c_480893]) ).
tcf(c_524323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X3,crossbar(X6,X3,X5,X0,ins(X1,X2,X3,X4),X7),X1,X2)
| ~ s_t(X6,X7,X0)
| ~ s_t(X6,X3,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_88,c_480893]) ).
tcf(c_524325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X2,ext(ext(ins(X3,X4,X2,X5),X2,alpha,gamma),X2,X0,X1),X3,X4)
| ~ le(X2,X5,X3,X4)
| ~ le(X0,X1,X2,ins(X3,X4,X2,X5)) ),
inference(superposition,[status(thm)],[c_231,c_480893]) ).
tcf(c_524326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X0,ins(X5,X6,X0,X1),X2,X3)
| s_t(X0,ins(X2,X3,X0,X4),ins(X5,X6,X0,X1))
| ( X0 = X1 )
| ~ le(X0,X4,X2,X3)
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480739,c_480893]) ).
tcf(c_524328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X4,X2,X3)
| s_t(X0,ins(X2,X3,X0,X1),X4)
| ( X0 = X1 )
| ~ s_t(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_480893]) ).
tcf(c_524329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X1,ins(X5,X6,X0,X1),X2,X3)
| s_t(X1,ins(X2,X3,X1,X4),ins(X5,X6,X0,X1))
| ( X0 = X1 )
| ~ le(X1,X4,X2,X3)
| ~ le(X0,X1,X5,X6)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480738,c_480893]) ).
tcf(c_524330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X0,ip(X5,X0,X6,X4,X7),X1,X2)
| s_t(X0,ins(X1,X2,X0,X3),ip(X5,X0,X6,X4,X7))
| ~ s_t(X5,X0,X6)
| ~ s_t(X4,X7,X6)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480702,c_480893]) ).
tcf(c_524331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X0,ip(X5,X0,X6,X1,X7),X2,X3)
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X7,X6)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480205,c_480893]) ).
tcf(c_524332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(ip(X4,X0,X5,X1,X6),X1,X2,X3)
| ~ s_t(X4,X0,X5)
| ~ s_t(X1,X6,X5)
| ~ le(ip(X4,X0,X5,X1,X6),X7,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ip(X4,X0,X5,X1,X6),X7)) ),
inference(superposition,[status(thm)],[c_480135,c_480893]) ).
tcf(c_524333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X3,ip(X0,ins(X1,X2,X3,X4),X5,X3,X6),X1,X2)
| ~ s_t(X3,X6,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480074,c_480893]) ).
tcf(c_524334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X0,ip(X4,X5,X6,X7,X0),X1,X2)
| s_t(X0,ins(X1,X2,X0,X3),ip(X4,X5,X6,X7,X0))
| ~ s_t(X7,X0,X6)
| ~ s_t(X4,X5,X6)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480703,c_480893]) ).
tcf(c_524335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X0,ip(X1,X5,X6,X7,X0),X2,X3)
| ~ s_t(X7,X0,X6)
| ~ s_t(X1,X5,X6)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480206,c_480893]) ).
tcf(c_524336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(ip(X1,X4,X5,X6,X0),X1,X2,X3)
| ~ s_t(X6,X0,X5)
| ~ s_t(X1,X4,X5)
| ~ le(ip(X1,X4,X5,X6,X0),X7,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ip(X1,X4,X5,X6,X0),X7)) ),
inference(superposition,[status(thm)],[c_480136,c_480893]) ).
tcf(c_524337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X3,ip(X3,X6,X5,X0,ins(X1,X2,X3,X4)),X1,X2)
| ~ s_t(X3,X6,X5)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480075,c_480893]) ).
tcf(c_524338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X0,ext(X0,X1,X5,X6),X2,X3)
| s_t(X0,ins(X2,X3,X0,X4),ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480599,c_480893]) ).
tcf(c_524339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X1,ext(X0,X1,X5,X6),X2,X3)
| s_t(X1,ins(X2,X3,X1,X4),ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_480646,c_480893]) ).
tcf(c_524340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X2,ext(ext(ins(X0,X1,X2,X3),X2,alpha,gamma),X2,ins(X0,X1,X2,X3),X4),X0,X1)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X4,X2) ),
inference(superposition,[status(thm)],[c_480406,c_480893]) ).
tcf(c_524341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,ext(ext(ins(X2,X3,X0,X4),X0,alpha,gamma),X0,X0,X1),X2,X3)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480408,c_480893]) ).
tcf(c_524342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( le(X0,crossbar(X5,X6,X4,X7,X8,X0),X1,X2)
| s_t(X0,ins(X1,X2,X0,X3),crossbar(X5,X6,X4,X7,X8,X0))
| ~ s_t(X7,X8,X4)
| ~ s_t(X5,X6,X4)
| ~ s_t(X5,X0,X7)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480706,c_480893]) ).
tcf(c_524343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( le(X0,crossbar(X5,X6,X1,X7,X8,X0),X2,X3)
| ~ s_t(X7,X8,X1)
| ~ s_t(X5,X6,X1)
| ~ s_t(X5,X0,X7)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480256,c_480893]) ).
tcf(c_524344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( le(crossbar(X4,X5,X1,X6,X7,X0),X1,X2,X3)
| ~ s_t(X6,X7,X1)
| ~ s_t(X4,X5,X1)
| ~ s_t(X4,X0,X6)
| ~ le(crossbar(X4,X5,X1,X6,X7,X0),X8,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,crossbar(X4,X5,X1,X6,X7,X0),X8)) ),
inference(superposition,[status(thm)],[c_480259,c_480893]) ).
tcf(c_524345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X3,crossbar(X0,X6,X3,X5,X7,ins(X1,X2,X3,X4)),X1,X2)
| ~ s_t(X5,X7,X3)
| ~ s_t(X0,X6,X3)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480262,c_480893]) ).
tcf(c_524346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( le(X0,crossbar(X5,X0,X6,X8,X1,X7),X2,X3)
| ~ s_t(X8,X1,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_480318,c_480893]) ).
tcf(c_524347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( le(crossbar(X4,X0,X5,X6,X1,X7),X1,X2,X3)
| ~ s_t(X6,X1,X5)
| ~ s_t(X4,X7,X6)
| ~ s_t(X4,X0,X5)
| ~ le(crossbar(X4,X0,X5,X6,X1,X7),X8,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,crossbar(X4,X0,X5,X6,X1,X7),X8)) ),
inference(superposition,[status(thm)],[c_480321,c_480893]) ).
tcf(c_524348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( le(X0,crossbar(X5,X0,X6,X8,X4,X7),X1,X2)
| s_t(X0,ins(X1,X2,X0,X3),crossbar(X5,X0,X6,X8,X4,X7))
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480707,c_480893]) ).
tcf(c_524349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X3,crossbar(X0,ins(X1,X2,X3,X4),X5,X7,X3,X6),X1,X2)
| ~ s_t(X7,X3,X5)
| ~ s_t(X0,X6,X7)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480324,c_480893]) ).
tcf(c_524350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X2,X3)
| ~ le(X0,X0,X2,X3)
| ~ s_t(X0,X1,ext(X0,X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_523877,c_480893]) ).
tcf(c_524353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X2,X3)
| ~ s_t(X0,X1,ext(X0,X0,X2,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_524350,c_119]) ).
tcf(c_524599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X1,X0,X3,X2)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_49,c_480911]) ).
tcf(c_524600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,X0,X4,X5)
| ~ le(X0,X1,X2,ext(X3,X2,X4,X5)) ),
inference(superposition,[status(thm)],[c_53,c_480911]) ).
tcf(c_524601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X1,X0,X2,X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_61,c_480911]) ).
tcf(c_524602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X1,X0,X3,X3)
| ~ le(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_66,c_480911]) ).
tcf(c_524603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,X0,X3,X4)
| ~ le(X2,X5,X3,X4)
| ~ le(X0,X1,X2,ins(X3,X4,X2,X5)) ),
inference(superposition,[status(thm)],[c_111,c_480911]) ).
tcf(c_524604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X1,X0,s(X4,X2),s(X4,X3))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_166,c_480911]) ).
tcf(c_524605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X1,X0,s(X2,X5),s(X2,X6))
| ~ s_e(X3,X4,X5,X6)
| ~ le(X0,X1,s(X2,X3),s(X2,X4)) ),
inference(superposition,[status(thm)],[c_169,c_480911]) ).
tcf(c_524606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X1,X0,X2,X4)
| ~ s_m(X3,X2,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_240,c_480911]) ).
tcf(c_524607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X1,X0,X2,s(X4,X3))
| ~ s_r(X2,X4,X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_249,c_480911]) ).
tcf(c_524608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X1,X0,X3,s(X2,X4))
| ~ le(X0,X1,s(X2,X3),X4) ),
inference(superposition,[status(thm)],[c_482413,c_480911]) ).
tcf(c_524609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X1,X0,X2,s(X2,X3))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482414,c_480911]) ).
tcf(c_524610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X1,X0,s(X3,X2),X4)
| ~ le(X0,X1,X2,s(X3,X4)) ),
inference(superposition,[status(thm)],[c_482415,c_480911]) ).
tcf(c_524611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X1,X0,s(X3,X2),X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482416,c_480911]) ).
tcf(c_524612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X1,X0,X2,X3)
| ~ le(X0,X1,X2,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_482508,c_480911]) ).
tcf(c_524613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X1,X0,X3,X2)
| ~ le(X0,X1,s(X2,X3),X2) ),
inference(superposition,[status(thm)],[c_482602,c_480911]) ).
tcf(c_524614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X1,X0,X3,X4)
| ~ le(X0,X1,s(X2,X3),s(X2,X4)) ),
inference(superposition,[status(thm)],[c_482430,c_480911]) ).
tcf(c_524615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,X0,X4,ext(X5,X4,X2,X3))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_479942,c_480911]) ).
tcf(c_524616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X1,X0,X2,X4)
| ~ s_m(X4,X2,X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486279,c_480911]) ).
tcf(c_524617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,X0,X4,X5)
| ~ le(X0,X1,ext(X2,X3,X4,X5),X3) ),
inference(superposition,[status(thm)],[c_479960,c_480911]) ).
tcf(c_524618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X1,X0,s(X4,X3),s(X4,X2))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482427,c_480911]) ).
tcf(c_524619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X1,X0,X3,X4)
| ~ s_m(X2,X3,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486277,c_480911]) ).
tcf(c_524620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X1,X0,X4,s(X3,X2))
| ~ le(X0,X1,X2,s(X3,X4)) ),
inference(superposition,[status(thm)],[c_491066,c_480911]) ).
tcf(c_524621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X1,X0,X3,s(X3,X2))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482506,c_480911]) ).
tcf(c_524622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X1,X0,s(X2,X4),X3)
| ~ le(X0,X1,s(X2,X3),X4) ),
inference(superposition,[status(thm)],[c_491065,c_480911]) ).
tcf(c_524623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X1,X0,s(X2,X3),X2)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482505,c_480911]) ).
tcf(c_524624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X1,X0,X2,X3)
| ~ le(X0,X1,s(X2,X3),X2) ),
inference(superposition,[status(thm)],[c_482977,c_480911]) ).
tcf(c_524625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X1,X0,X3,X2)
| ~ le(X0,X1,X2,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_482962,c_480911]) ).
tcf(c_524626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X1,X0,X4,X3)
| ~ le(X0,X1,s(X2,X3),s(X2,X4)) ),
inference(superposition,[status(thm)],[c_491507,c_480911]) ).
tcf(c_524627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,X0,X4,ext(X5,X4,X3,X2))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_488569,c_480911]) ).
tcf(c_524628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,X0,ext(X4,X5,X2,X3),X5)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_488568,c_480911]) ).
tcf(c_524629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,X0,X5,X4)
| ~ le(X0,X1,X2,ext(X3,X2,X4,X5)) ),
inference(superposition,[status(thm)],[c_479974,c_480911]) ).
tcf(c_524630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X1,X0,X4,X2)
| ~ s_m(X3,X2,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486276,c_480911]) ).
tcf(c_524631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,X0,X5,X4)
| ~ le(X0,X1,ext(X2,X3,X4,X5),X3) ),
inference(superposition,[status(thm)],[c_480040,c_480911]) ).
tcf(c_524632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X1,X0,X4,X3)
| ~ s_m(X2,X3,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486273,c_480911]) ).
tcf(c_524633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,X0,ext(X4,X5,X3,X2),X5)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_488565,c_480911]) ).
tcf(c_524634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X1,X0,X4,X3)
| ~ s_m(X4,X3,X2)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_497176,c_480911]) ).
tcf(c_524635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X1,X0,X4,X2)
| ~ s_m(X4,X2,X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_498465,c_480911]) ).
tcf(c_524636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X1,X0,X3,X4)
| ~ s_m(X4,X3,X2)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_497526,c_480911]) ).
tcf(c_524637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,X0,X3,X2)
| ~ le(X4,X5,X2,X3)
| ~ le(X0,X1,ins(X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_480794,c_480911]) ).
tcf(c_524638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,X0,X4,X3)
| ~ le(X2,X5,X3,X4)
| ~ le(X0,X1,X2,ins(X3,X4,X2,X5)) ),
inference(superposition,[status(thm)],[c_480797,c_480911]) ).
tcf(c_524639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,X0,X2,X3)
| ~ le(X4,X5,X2,X3)
| ~ le(X0,X1,ins(X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_480798,c_480911]) ).
tcf(c_524640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X5,X4,X0,ins(X2,X3,X0,X1))
| ~ le(X4,X5,X2,X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480800,c_480911]) ).
tcf(c_524641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X1,X0,X6,X7)
| ~ s_e(X4,X5,X6,X7)
| ~ le(X0,X1,X2,ext(X3,X2,X4,X5)) ),
inference(superposition,[status(thm)],[c_479951,c_480911]) ).
tcf(c_524642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X1,X0,X6,X7)
| ~ le(X2,X5,X3,X4)
| ~ s_e(X3,X4,X6,X7)
| ~ le(X0,X1,X2,ins(X3,X4,X2,X5)) ),
inference(superposition,[status(thm)],[c_480799,c_480911]) ).
tcf(c_524937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X2,X3,X4,X5)
| ~ s_e(X0,ext(X1,X0,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_115,c_480912]) ).
tcf(c_524938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X6,X7,X2,X3)
| le(X0,X1,X4,ext(X5,X4,X6,X7))
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_118,c_480912]) ).
tcf(c_524939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X2,X3,X5,X6)
| ~ s_e(X0,X4,X5,X6)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_323,c_480912]) ).
tcf(c_524940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X3,X4,X5,X6)
| ~ s_t(X0,X2,ext(X1,X2,X3,X4))
| ~ s_e(X0,ext(X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_321,c_480912]) ).
tcf(c_524941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X2,X3,X5,X6)
| ~ s_e(X4,X0,X5,X6)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480889,c_480912]) ).
tcf(c_524942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X2,X3,X5,X6)
| ~ s_t(ext(X0,X1,X2,X3),X1,X4)
| ~ s_e(ext(X0,X1,X2,X3),X4,X5,X6) ),
inference(superposition,[status(thm)],[c_485317,c_480912]) ).
tcf(c_524944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(ext(ext(X0,X1,alpha,gamma),X1,X1,X0),X0,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ le(X0,ins(X1,X0,X1,X0),X2,X3) ),
inference(superposition,[status(thm)],[c_480881,c_480912]) ).
tcf(c_525127,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ins(X0,X1,X0,X1) = X1 )
| ~ s_r(ins(X0,X1,X0,X1),X1,X0) ),
inference(superposition,[status(thm)],[c_523503,c_187]) ).
tcf(c_525128,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,ins(X1,X0,X1,X0),X2)
| ( ins(X1,X0,X1,X0) = X0 )
| ~ s_r(X0,ins(X1,X0,X1,X0),X2) ),
inference(superposition,[status(thm)],[c_523503,c_181]) ).
tcf(c_525129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X0 = X2 )
| ( ins(X0,X1,X0,X1) = X1 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X0)
| ~ s_col(ins(X0,X1,X0,X1),X1,X3)
| ~ s_col(ins(X0,X1,X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_523503,c_152]) ).
tcf(c_525130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X2,X3)
| ( X0 = X2 )
| ( ins(X0,X1,X0,X1) = X1 )
| ~ s_col(ins(X0,X1,X0,X1),X1,X3)
| ~ s_col(ins(X0,X1,X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_523503,c_151]) ).
tcf(c_525131,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(ins(X0,X1,X0,X1),X0,X2)
| ( ins(X0,X1,X0,X1) = X1 )
| ( ins(X0,X1,X0,X1) = X0 )
| ~ s_col(ins(X0,X1,X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_523503,c_148]) ).
tcf(c_525138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(ins(X0,X1,X0,X1),X1,X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X0 = X2 )
| ( ins(X0,X1,X0,X1) = X1 )
| ~ s_r(X0,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(ins(X0,X1,X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_523503,c_200]) ).
tcf(c_525250,plain,
! [X0: $i] : s_col(X0,X0,ext(X0,X0,X0,X0)),
inference(superposition,[status(thm)],[c_523877,c_523504]) ).
tcf(c_525252,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ins(X0,X1,X0,X1) = X1 )
| ~ s_r(X0,X1,ins(X0,X1,X0,X1)) ),
inference(superposition,[status(thm)],[c_523504,c_187]) ).
tcf(c_525253,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(ins(X1,X0,X1,X0),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523504,c_181]) ).
tcf(c_525254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( X2 = X3 )
| ( X0 = X1 )
| ( ins(X2,X3,X2,X3) = X4 )
| ~ s_col(X2,X3,X5)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,ins(X2,X3,X2,X3)) ),
inference(superposition,[status(thm)],[c_523504,c_152]) ).
tcf(c_525255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(ins(X0,X1,X0,X1),X2,X3)
| ( X0 = X1 )
| ( ins(X0,X1,X0,X1) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523504,c_151]) ).
tcf(c_525256,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,ins(X0,X1,X0,X1),X2)
| ( X0 = X1 )
| ( ins(X0,X1,X0,X1) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523504,c_148]) ).
tcf(c_525263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,X1,X2,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( ins(X0,X1,X0,X1) = X2 )
| ~ s_col(X4,X5,X3)
| ~ s_col(X4,X5,X2)
| ~ s_col(X0,X1,X2)
| ~ s_r(ins(X0,X1,X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_523504,c_200]) ).
tcf(c_525302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X3,X2)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_49,c_480913]) ).
tcf(c_525303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X0,X1,X4,X5)
| ~ le(X0,X1,X2,ext(X3,X2,X4,X5)) ),
inference(superposition,[status(thm)],[c_53,c_480913]) ).
tcf(c_525305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X3,X3)
| ~ le(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_66,c_480913]) ).
tcf(c_525306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X0,X1,X3,X4)
| ~ le(X2,X5,X3,X4)
| ~ le(X0,X1,X2,ins(X3,X4,X2,X5)) ),
inference(superposition,[status(thm)],[c_111,c_480913]) ).
tcf(c_525307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,s(X4,X2),s(X4,X3))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_166,c_480913]) ).
tcf(c_525308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X0,X1,s(X2,X5),s(X2,X6))
| ~ s_e(X3,X4,X5,X6)
| ~ le(X0,X1,s(X2,X3),s(X2,X4)) ),
inference(superposition,[status(thm)],[c_169,c_480913]) ).
tcf(c_525309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,X2,X4)
| ~ s_m(X3,X2,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_240,c_480913]) ).
tcf(c_525310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,X2,s(X4,X3))
| ~ s_r(X2,X4,X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_249,c_480913]) ).
tcf(c_525311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,X3,s(X2,X4))
| ~ le(X0,X1,s(X2,X3),X4) ),
inference(superposition,[status(thm)],[c_482413,c_480913]) ).
tcf(c_525312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X2,s(X2,X3))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482414,c_480913]) ).
tcf(c_525313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,s(X3,X2),X4)
| ~ le(X0,X1,X2,s(X3,X4)) ),
inference(superposition,[status(thm)],[c_482415,c_480913]) ).
tcf(c_525314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,s(X3,X2),X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482416,c_480913]) ).
tcf(c_525315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X2,X3)
| ~ le(X0,X1,X2,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_482508,c_480913]) ).
tcf(c_525316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X3,X2)
| ~ le(X0,X1,s(X2,X3),X2) ),
inference(superposition,[status(thm)],[c_482602,c_480913]) ).
tcf(c_525317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,X3,X4)
| ~ le(X0,X1,s(X2,X3),s(X2,X4)) ),
inference(superposition,[status(thm)],[c_482430,c_480913]) ).
tcf(c_525318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X0,X1,X4,ext(X5,X4,X2,X3))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_479942,c_480913]) ).
tcf(c_525319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,X2,X4)
| ~ s_m(X4,X2,X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486279,c_480913]) ).
tcf(c_525320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X0,X1,X4,X5)
| ~ le(X0,X1,ext(X2,X3,X4,X5),X3) ),
inference(superposition,[status(thm)],[c_479960,c_480913]) ).
tcf(c_525321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,s(X4,X3),s(X4,X2))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482427,c_480913]) ).
tcf(c_525322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,X3,X4)
| ~ s_m(X2,X3,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486277,c_480913]) ).
tcf(c_525323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,X4,s(X3,X2))
| ~ le(X0,X1,X2,s(X3,X4)) ),
inference(superposition,[status(thm)],[c_491066,c_480913]) ).
tcf(c_525324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X3,s(X3,X2))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482506,c_480913]) ).
tcf(c_525325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,s(X2,X4),X3)
| ~ le(X0,X1,s(X2,X3),X4) ),
inference(superposition,[status(thm)],[c_491065,c_480913]) ).
tcf(c_525326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,s(X2,X3),X2)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_482505,c_480913]) ).
tcf(c_525327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X2,X3)
| ~ le(X0,X1,s(X2,X3),X2) ),
inference(superposition,[status(thm)],[c_482977,c_480913]) ).
tcf(c_525328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X3,X2)
| ~ le(X0,X1,X2,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_482962,c_480913]) ).
tcf(c_525329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,X4,X3)
| ~ le(X0,X1,s(X2,X3),s(X2,X4)) ),
inference(superposition,[status(thm)],[c_491507,c_480913]) ).
tcf(c_525330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X0,X1,X4,ext(X5,X4,X3,X2))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_488569,c_480913]) ).
tcf(c_525331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X0,X1,ext(X4,X5,X2,X3),X5)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_488568,c_480913]) ).
tcf(c_525332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X0,X1,X5,X4)
| ~ le(X0,X1,X2,ext(X3,X2,X4,X5)) ),
inference(superposition,[status(thm)],[c_479974,c_480913]) ).
tcf(c_525333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,X4,X2)
| ~ s_m(X3,X2,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486276,c_480913]) ).
tcf(c_525334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X0,X1,X5,X4)
| ~ le(X0,X1,ext(X2,X3,X4,X5),X3) ),
inference(superposition,[status(thm)],[c_480040,c_480913]) ).
tcf(c_525335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,X4,X3)
| ~ s_m(X2,X3,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_486273,c_480913]) ).
tcf(c_525336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X0,X1,ext(X4,X5,X3,X2),X5)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_488565,c_480913]) ).
tcf(c_525337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,X4,X3)
| ~ s_m(X4,X3,X2)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_497176,c_480913]) ).
tcf(c_525338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,X4,X2)
| ~ s_m(X4,X2,X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_498465,c_480913]) ).
tcf(c_525339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,X1,X3,X4)
| ~ s_m(X4,X3,X2)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_497526,c_480913]) ).
tcf(c_525340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X0,X1,X3,X2)
| ~ le(X4,X5,X2,X3)
| ~ le(X0,X1,ins(X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_480794,c_480913]) ).
tcf(c_525341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X0,X1,X4,X3)
| ~ le(X2,X5,X3,X4)
| ~ le(X0,X1,X2,ins(X3,X4,X2,X5)) ),
inference(superposition,[status(thm)],[c_480797,c_480913]) ).
tcf(c_525342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X0,X1,X2,X3)
| ~ le(X4,X5,X2,X3)
| ~ le(X0,X1,ins(X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_480798,c_480913]) ).
tcf(c_525343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X4,X5,X0,ins(X2,X3,X0,X1))
| ~ le(X4,X5,X2,X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480800,c_480913]) ).
tcf(c_525344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X0,X1,X6,X7)
| ~ s_e(X4,X5,X6,X7)
| ~ le(X0,X1,X2,ext(X3,X2,X4,X5)) ),
inference(superposition,[status(thm)],[c_479951,c_480913]) ).
tcf(c_525345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X0,X1,X6,X7)
| ~ le(X2,X5,X3,X4)
| ~ s_e(X3,X4,X6,X7)
| ~ le(X0,X1,X2,ins(X3,X4,X2,X5)) ),
inference(superposition,[status(thm)],[c_480799,c_480913]) ).
tcf(c_525459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,X2,X4,X5)
| ~ le(X0,X3,X1,X2)
| ~ s_e(X0,ins(X1,X2,X0,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_115,c_480915]) ).
tcf(c_525460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X6,X7,X2,X3)
| le(X0,X1,X4,ins(X6,X7,X4,X5))
| ~ le(X4,X5,X6,X7)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_118,c_480915]) ).
tcf(c_525461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X1,X2,X5,X6)
| ~ le(X0,X3,X1,X2)
| ~ s_e(X0,X4,X5,X6)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_323,c_480915]) ).
tcf(c_525462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X1,X2,X5,X6)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,X3,ins(X1,X2,X3,X4))
| ~ s_e(X0,ins(X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_321,c_480915]) ).
tcf(c_525463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X1,X2,X5,X6)
| ~ le(X0,X3,X1,X2)
| ~ s_e(X4,X0,X5,X6)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_480889,c_480915]) ).
tcf(c_525464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X0,X1,X5,X6)
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X2,X4)
| ~ s_e(ins(X0,X1,X2,X3),X4,X5,X6) ),
inference(superposition,[status(thm)],[c_485317,c_480915]) ).
tcf(c_525465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X1,X2,X5,X6)
| ~ le(X0,X0,X1,X2)
| ~ s_e(X3,X4,X5,X6)
| ~ le(X0,ext(X0,X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_523877,c_480915]) ).
tcf(c_525481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X1,X2,X5,X6)
| ~ s_e(X3,X4,X5,X6)
| ~ le(X0,ext(X0,X0,X1,X2),X3,X4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_525465,c_119]) ).
tcf(c_525501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X4,X5,X0,X1)
| le(X2,X3,X4,X5)
| le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_118,c_480958]) ).
tcf(c_525503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X3,X4,X0,X2)
| le(X0,X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_323,c_480958]) ).
tcf(c_525504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X3,X4,X0,X2)
| le(X1,X2,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_321,c_480958]) ).
tcf(c_525505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X3,X4,X2,X0)
| le(X0,X1,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480889,c_480958]) ).
tcf(c_525506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X3,X4,X0,X2)
| le(X1,X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485317,c_480958]) ).
tcf(c_525522,plain,
! [X0: $i] : s_t(ext(X0,X0,X0,X0),X0,X0),
inference(superposition,[status(thm)],[c_523877,c_523505]) ).
tcf(c_525523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(ins(X0,X1,X0,X1),X1,X0,X3,X1,X2) = X1 )
| ~ s_t(X3,X1,X0)
| ~ s_t(ins(X0,X1,X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_523505,c_480316]) ).
tcf(c_525524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(ins(X0,X1,X0,X1),X1,X0,X2,X3,X0) = X0 )
| ~ s_t(X2,X3,X0)
| ~ s_t(ins(X0,X1,X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_523505,c_480254]) ).
tcf(c_525525,plain,
! [X0: $i,X1: $i] :
( ( ins(X0,X1,X0,X1) = X1 )
| ( ext(ins(X0,X1,X0,X1),X1,X1,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_523505,c_480013]) ).
tcf(c_525526,plain,
! [X0: $i,X1: $i] :
( ( ins(X0,X1,X0,X1) = X1 )
| ( ext(ins(X0,X1,X0,X1),X1,X0,X1) = X0 ) ),
inference(superposition,[status(thm)],[c_523505,c_480011]) ).
tcf(c_525527,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(ins(X1,X2,X1,X2),X2,X1,X0,ins(X1,X2,X1,X2)) = ins(X1,X2,X1,X2) )
| ~ s_t(X0,ins(X1,X2,X1,X2),X1) ),
inference(superposition,[status(thm)],[c_523505,c_479924]) ).
tcf(c_525528,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(ins(X2,X0,X2,X0),X0,X2,X0,X1) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523505,c_479914]) ).
tcf(c_525529,plain,
! [X0: $i,X1: $i] :
( sameside(X0,ins(X0,X1,X0,X1),X1)
| ( ins(X0,X1,X0,X1) = X1 )
| ( ins(X0,X1,X0,X1) = X0 ) ),
inference(superposition,[status(thm)],[c_523505,c_238]) ).
tcf(c_525530,plain,
! [X0: $i,X1: $i] :
( sameside(X1,ins(X0,X1,X0,X1),X0)
| ( ins(X0,X1,X0,X1) = xb )
| ( ins(X0,X1,X0,X1) = X1 ) ),
inference(superposition,[status(thm)],[c_523505,c_237]) ).
tcf(c_525534,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_r(X0,X2,X1)
| ~ s_r(ins(X0,X1,X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_523505,c_184]) ).
tcf(c_525535,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,ins(X2,X1,X2,X1),X2)
| s_t(ins(X2,X1,X2,X1),X0,X2)
| ( X1 = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523505,c_147]) ).
tcf(c_525536,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,ins(X2,X1,X2,X1))
| ( X1 = X2 )
| ( ins(X2,X1,X2,X1) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523505,c_145]) ).
tcf(c_525537,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,ins(X2,X1,X2,X1))
| ( X1 = X2 )
| ( X0 = X1 )
| ( ins(X2,X1,X2,X1) = X1 )
| ~ s_col(X0,X1,ins(X2,X1,X2,X1)) ),
inference(superposition,[status(thm)],[c_523505,c_143]) ).
tcf(c_525539,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(ins(X2,X1,X2,X1),X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ins(X2,X1,X2,X1) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523505,c_131]) ).
tcf(c_525540,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ins(X0,X1,X0,X1) = X1 )
| ~ sameside(ins(X0,X1,X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_523505,c_125]) ).
tcf(c_525541,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(ins(X0,X1,X0,X1),X2,X1)
| s_t(ins(X0,X1,X0,X1),X1,X2)
| ~ s_t(ins(X0,X1,X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_523505,c_109]) ).
tcf(c_525542,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X2,X0)
| s_t(X1,X0,X2)
| ( ins(X0,X1,X0,X1) = X1 )
| ~ s_t(ins(X0,X1,X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_523505,c_108]) ).
tcf(c_525543,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(ins(X0,X1,X0,X1),X2,X0)
| s_t(ins(X0,X1,X0,X1),X0,X2)
| ( ins(X0,X1,X0,X1) = X1 )
| ~ s_t(ins(X0,X1,X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_523505,c_107]) ).
tcf(c_525544,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(ins(X1,X0,X1,X0),X0,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523505,c_81]) ).
tcf(c_525545,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(ins(X0,X1,X0,X1),X1,X2)
| ~ s_t(ins(X0,X1,X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_523505,c_80]) ).
tcf(c_525546,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(ins(X2,X0,X2,X0),X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523505,c_79]) ).
tcf(c_525547,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(ins(X1,X0,X1,X0),X1,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523505,c_78]) ).
tcf(c_525548,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X0,X2)
| ~ s_t(ins(X0,X1,X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_523505,c_77]) ).
tcf(c_525549,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(ins(X2,X0,X2,X0),X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523505,c_76]) ).
tcf(c_525550,plain,
! [X0: $i,X1: $i] :
( ( ins(X1,X0,X1,X0) = X0 )
| ~ s_t(X0,ins(X1,X0,X1,X0),X1) ),
inference(superposition,[status(thm)],[c_523505,c_75]) ).
tcf(c_525552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ins(ext(X0,X1,X2,X3),X1,ext(X0,X1,X2,X3),X1) = X1 )
| ( ext(ins(ext(X0,X1,X2,X3),X1,ext(X0,X1,X2,X3),X1),X1,X2,X3) = ext(X0,X1,X2,X3) ) ),
inference(superposition,[status(thm)],[c_523505,c_480012]) ).
tcf(c_525553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ins(ins(X2,X3,X0,X1),X0,ins(X2,X3,X0,X1),X0) = X0 )
| ( ext(ins(ins(X2,X3,X0,X1),X0,ins(X2,X3,X0,X1),X0),X0,X2,X3) = ins(X2,X3,X0,X1) )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_523505,c_480795]) ).
tcf(c_525702,plain,
! [X0: $i] : s_t(X0,X0,ext(X0,X0,X0,X0)),
inference(superposition,[status(thm)],[c_523877,c_523506]) ).
tcf(c_525703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(X2,X1,ins(X2,X1,X2,X1),X0,X1,X3) = X1 )
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,X1,ins(X2,X1,X2,X1)) ),
inference(superposition,[status(thm)],[c_523506,c_480316]) ).
tcf(c_525704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(X0,X1,ins(X0,X1,X0,X1),X2,X3,ins(X0,X1,X0,X1)) = ins(X0,X1,X0,X1) )
| ~ s_t(X2,X3,ins(X0,X1,X0,X1))
| ~ s_t(X0,ins(X0,X1,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_523506,c_480254]) ).
tcf(c_525705,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X1,ins(X0,X1,X0,X1)) = ins(X0,X1,X0,X1) ) ),
inference(superposition,[status(thm)],[c_523506,c_480013]) ).
tcf(c_525706,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,ins(X0,X1,X0,X1),X1) = ins(X0,X1,X0,X1) ) ),
inference(superposition,[status(thm)],[c_523506,c_480011]) ).
tcf(c_525707,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(X1,X2,ins(X1,X2,X1,X2),X0,X1) = X1 )
| ~ s_t(X0,X1,ins(X1,X2,X1,X2)) ),
inference(superposition,[status(thm)],[c_523506,c_479924]) ).
tcf(c_525708,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(X2,X0,ins(X2,X0,X2,X0),X0,X1) = X0 )
| ~ s_t(X0,X1,ins(X2,X0,X2,X0)) ),
inference(superposition,[status(thm)],[c_523506,c_479914]) ).
tcf(c_525709,plain,
! [X0: $i,X1: $i] :
( sameside(ins(X0,X1,X0,X1),X0,X1)
| ( X0 = X1 )
| ( ins(X0,X1,X0,X1) = X0 ) ),
inference(superposition,[status(thm)],[c_523506,c_238]) ).
tcf(c_525710,plain,
! [X0: $i,X1: $i] :
( sameside(X1,X0,ins(X0,X1,X0,X1))
| ( X0 = xb )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_523506,c_237]) ).
tcf(c_525715,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,ins(X2,X1,X2,X1))
| s_t(X0,X2,ins(X2,X1,X2,X1))
| ( ins(X2,X1,X2,X1) = X1 )
| ~ s_t(X0,X1,ins(X2,X1,X2,X1)) ),
inference(superposition,[status(thm)],[c_523506,c_147]) ).
tcf(c_525716,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X1 = X2 )
| ( ins(X2,X1,X2,X1) = X1 )
| ~ sameside(X0,X1,ins(X2,X1,X2,X1)) ),
inference(superposition,[status(thm)],[c_523506,c_145]) ).
tcf(c_525717,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,ins(X2,X1,X2,X1))
| ( X1 = X2 )
| ( X0 = X1 )
| ( ins(X2,X1,X2,X1) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523506,c_143]) ).
tcf(c_525719,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ins(X2,X1,X2,X1) = X1 )
| ~ s_t(X0,X1,ins(X2,X1,X2,X1)) ),
inference(superposition,[status(thm)],[c_523506,c_131]) ).
tcf(c_525720,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,ins(X0,X1,X0,X1))
| ( X1 = X2 )
| ( X0 = X1 )
| ( ins(X0,X1,X0,X1) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523506,c_125]) ).
tcf(c_525724,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X0,X2)
| ( ins(X1,X0,X1,X0) = X0 )
| ~ s_t(X0,ins(X1,X0,X1,X0),X2) ),
inference(superposition,[status(thm)],[c_523506,c_81]) ).
tcf(c_525726,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,ins(X2,X0,X2,X0))
| ~ s_t(X0,X1,ins(X2,X0,X2,X0)) ),
inference(superposition,[status(thm)],[c_523506,c_79]) ).
tcf(c_525727,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,ins(X1,X0,X1,X0),X2)
| ( ins(X1,X0,X1,X0) = X0 )
| ~ s_t(X0,ins(X1,X0,X1,X0),X2) ),
inference(superposition,[status(thm)],[c_523506,c_78]) ).
tcf(c_525732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,ins(X0,ext(X0,X1,X2,X3),X0,ext(X0,X1,X2,X3))),
inference(superposition,[status(thm)],[c_523506,c_480204]) ).
tcf(c_525733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,ext(X1,X0,X2,X3),ins(X1,ext(X1,X0,X2,X3),X1,ext(X1,X0,X2,X3))),
inference(superposition,[status(thm)],[c_523506,c_480134]) ).
tcf(c_525735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,ins(X2,X3,X0,X1),ins(X0,ins(X2,X3,X0,X1),X0,ins(X2,X3,X0,X1)))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_523506,c_480744]) ).
tcf(c_525736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,ins(X0,ins(X2,X3,X0,X1),X0,ins(X2,X3,X0,X1)))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_523506,c_480741]) ).
tcf(c_525737,plain,
! [X0: $i] :
( s_t(X0,X0,X0)
| ~ le(X0,X0,X0,X0) ),
inference(superposition,[status(thm)],[c_523506,c_480745]) ).
tcf(c_525741,plain,
! [X0: $i,X1: $i] :
( s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X0,X1),X1)
| ~ le(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_523506,c_480791]) ).
tcf(c_525743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,ins(X1,ext(X0,X1,X2,X3),X1,ext(X0,X1,X2,X3)))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_523506,c_480227]) ).
tcf(c_525744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ext(X0,X1,X2,X3),ins(X1,ext(X0,X1,X2,X3),X1,ext(X0,X1,X2,X3)))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_523506,c_480157]) ).
tcf(c_525745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ins(X2,X3,X0,X1),ins(X1,ins(X2,X3,X0,X1),X1,ins(X2,X3,X0,X1)))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_523506,c_480743]) ).
tcf(c_525746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,ins(X1,ins(X2,X3,X0,X1),X1,ins(X2,X3,X0,X1)))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_523506,c_480740]) ).
tcf(c_525747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),ins(ip(X0,X1,X2,X3,X4),X3,ip(X0,X1,X2,X3,X4),X3))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523506,c_480228]) ).
tcf(c_525748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,ins(ip(X0,X1,X2,X3,X4),X3,ip(X0,X1,X2,X3,X4),X3))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523506,c_480158]) ).
tcf(c_525749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),ins(ip(X0,X1,X2,X3,X4),X0,ip(X0,X1,X2,X3,X4),X0))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523506,c_480229]) ).
tcf(c_525750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,ins(ip(X0,X1,X2,X3,X4),X0,ip(X0,X1,X2,X3,X4),X0))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523506,c_480159]) ).
tcf(c_525751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X3,ins(X1,ip(X0,X1,X2,X3,X4),X1,ip(X0,X1,X2,X3,X4)))
| s_t(ip(X0,X1,X2,X3,X4),ins(X1,ip(X0,X1,X2,X3,X4),X1,ip(X0,X1,X2,X3,X4)),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523506,c_480647]) ).
tcf(c_525752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,ins(X1,ip(X0,X1,X2,X3,X4),X1,ip(X0,X1,X2,X3,X4)))
| s_t(X1,ins(X1,ip(X0,X1,X2,X3,X4),X1,ip(X0,X1,X2,X3,X4)),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523506,c_480600]) ).
tcf(c_525753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X0,ins(X4,ip(X0,X1,X2,X3,X4),X4,ip(X0,X1,X2,X3,X4)))
| s_t(ip(X0,X1,X2,X3,X4),ins(X4,ip(X0,X1,X2,X3,X4),X4,ip(X0,X1,X2,X3,X4)),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523506,c_480648]) ).
tcf(c_525754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,ins(X4,ip(X0,X1,X2,X3,X4),X4,ip(X0,X1,X2,X3,X4)))
| s_t(X4,ins(X4,ip(X0,X1,X2,X3,X4),X4,ip(X0,X1,X2,X3,X4)),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523506,c_480601]) ).
tcf(c_525756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(crossbar(X0,X3,X4,X2,X5,X1),X4,ins(X1,crossbar(X0,X3,X4,X2,X5,X1),X1,crossbar(X0,X3,X4,X2,X5,X1)))
| s_t(crossbar(X0,X3,X4,X2,X5,X1),ins(X1,crossbar(X0,X3,X4,X2,X5,X1),X1,crossbar(X0,X3,X4,X2,X5,X1)),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523506,c_480651]) ).
tcf(c_525757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X4,ins(X1,crossbar(X0,X3,X4,X2,X5,X1),X1,crossbar(X0,X3,X4,X2,X5,X1)))
| s_t(X1,ins(X1,crossbar(X0,X3,X4,X2,X5,X1),X1,crossbar(X0,X3,X4,X2,X5,X1)),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523506,c_480604]) ).
tcf(c_525758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,ins(crossbar(X0,X1,X2,X4,X5,X3),X2,crossbar(X0,X1,X2,X4,X5,X3),X2))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523506,c_480258]) ).
tcf(c_525759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X5,X3),ins(crossbar(X0,X1,X2,X4,X5,X3),X2,crossbar(X0,X1,X2,X4,X5,X3),X2))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523506,c_480255]) ).
tcf(c_525760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(crossbar(X0,X1,X2,X4,X5,X3),X5,ins(X1,crossbar(X0,X1,X2,X4,X5,X3),X1,crossbar(X0,X1,X2,X4,X5,X3)))
| s_t(crossbar(X0,X1,X2,X4,X5,X3),ins(X1,crossbar(X0,X1,X2,X4,X5,X3),X1,crossbar(X0,X1,X2,X4,X5,X3)),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523506,c_480652]) ).
tcf(c_525761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,ins(X1,crossbar(X0,X1,X2,X4,X5,X3),X1,crossbar(X0,X1,X2,X4,X5,X3)))
| s_t(X1,ins(X1,crossbar(X0,X1,X2,X4,X5,X3),X1,crossbar(X0,X1,X2,X4,X5,X3)),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523506,c_480605]) ).
tcf(c_525762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,ins(crossbar(X0,X1,X2,X4,X5,X3),X5,crossbar(X0,X1,X2,X4,X5,X3),X5))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523506,c_480320]) ).
tcf(c_525763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),ins(crossbar(X0,X1,X2,X4,X5,X3),X5,crossbar(X0,X1,X2,X4,X5,X3),X5))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523506,c_480317]) ).
tcf(c_525769,plain,
! [X0: $i,X1: $i] : s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X0,X1),X1),
inference(forward_subsumption_resolution,[status(thm)],[c_525741,c_115]) ).
tcf(c_525987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X4,X5,X0,X1)
| le(X3,X2,X4,X5)
| ( ext(X0,X1,ext(ext(X2,X3,alpha,gamma),X3,X0,X1),X2) = ins(X3,X2,X0,X1) ) ),
inference(superposition,[status(thm)],[c_480959,c_480958]) ).
tcf(c_525989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X5,X4,X2,X3)
| ( ext(X0,X1,ext(ext(X4,X5,alpha,gamma),X5,X0,X1),X4) = ins(X5,X4,X0,X1) )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480959,c_116]) ).
tcf(c_525990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X3,X2,ext(ext(X1,X0,alpha,gamma),X0,X3,X2),X1) = ins(X0,X1,X3,X2) )
| ( ext(X0,X1,ext(ext(X2,X3,alpha,gamma),X3,X0,X1),X2) = ins(X3,X2,X0,X1) ) ),
inference(superposition,[status(thm)],[c_480959,c_112]) ).
tcf(c_525991,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X0,X2)
| ( ext(X1,X2,ext(ext(X0,X1,alpha,gamma),X1,X1,X2),X0) = ins(X1,X0,X1,X2) )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480959,c_141]) ).
tcf(c_525992,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,X1)
| ( ext(X2,X1,ext(ext(X0,X2,alpha,gamma),X2,X2,X1),X0) = ins(X2,X0,X2,X1) )
| ~ s_col(X2,X0,X1)
| ~ le(X0,X1,X2,X1) ),
inference(superposition,[status(thm)],[c_480959,c_123]) ).
tcf(c_525993,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ins(X0,X0,X2,X1) = X2 )
| ( ext(X0,X0,ext(ext(X1,X2,alpha,gamma),X2,X0,X0),X1) = ins(X2,X1,X0,X0) ) ),
inference(superposition,[status(thm)],[c_480959,c_480803]) ).
tcf(c_525994,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X0,X2,X1)
| ( ext(X0,X0,ext(ext(X1,X2,alpha,gamma),X2,X0,X0),X1) = ins(X2,X1,X0,X0) ) ),
inference(superposition,[status(thm)],[c_480959,c_480947]) ).
tcf(c_525995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X6,X7,X2,X3)
| ( ext(X0,X1,ext(ext(ext(X4,X5,X6,X7),X5,alpha,gamma),X5,X0,X1),ext(X4,X5,X6,X7)) = ins(X5,ext(X4,X5,X6,X7),X0,X1) )
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480959,c_480912]) ).
tcf(c_525996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( le(X6,X7,X2,X3)
| ( ext(X0,X1,ext(ext(ins(X6,X7,X4,X5),X4,alpha,gamma),X4,X0,X1),ins(X6,X7,X4,X5)) = ins(X4,ins(X6,X7,X4,X5),X0,X1) )
| ~ le(X4,X5,X6,X7)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480959,c_480915]) ).
tcf(c_526089,plain,
! [X0: $i] : ext(X0,X0,X0,X0) = X0,
inference(superposition,[status(thm)],[c_52,c_480982]) ).
tcf(c_526090,plain,
! [X0: $i,X1: $i] : ext(X0,X1,X1,X1) = X1,
inference(superposition,[status(thm)],[c_74,c_480982]) ).
tcf(c_526091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ext(X2,X0,X0,ins(X3,X4,X0,X1)),ins(X3,X4,X0,X1))
| ( X0 = X1 )
| ( ext(X2,X0,X0,ins(X3,X4,X0,X1)) = ins(X3,X4,X0,X1) )
| ~ le(X0,X1,X3,X4)
| ~ s_t(X0,X1,ext(X2,X0,X0,ins(X3,X4,X0,X1))) ),
inference(superposition,[status(thm)],[c_480739,c_480982]) ).
tcf(c_526092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(X2,X1,X1,ins(X3,X4,X0,X1)),ins(X3,X4,X0,X1))
| ( X0 = X1 )
| ( ext(X2,X1,X1,ins(X3,X4,X0,X1)) = ins(X3,X4,X0,X1) )
| ~ le(X0,X1,X3,X4)
| ~ s_t(X0,X1,ext(X2,X1,X1,ins(X3,X4,X0,X1))) ),
inference(superposition,[status(thm)],[c_480738,c_480982]) ).
tcf(c_526093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(X1,X0,X0,ip(X2,X0,X3,X4,X5)),ip(X2,X0,X3,X4,X5))
| ( ext(X1,X0,X0,ip(X2,X0,X3,X4,X5)) = ip(X2,X0,X3,X4,X5) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,ext(X1,X0,X0,ip(X2,X0,X3,X4,X5)),X4) ),
inference(superposition,[status(thm)],[c_480702,c_480982]) ).
tcf(c_526094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ext(X2,X0,X0,ip(X3,X0,X4,X1,X5)) = ip(X3,X0,X4,X1,X5) )
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X5,X4)
| ~ s_t(X0,X1,ext(X2,X0,X0,ip(X3,X0,X4,X1,X5))) ),
inference(superposition,[status(thm)],[c_480205,c_480982]) ).
tcf(c_526095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ext(X2,ip(X3,X0,X4,X1,X5),ip(X3,X0,X4,X1,X5),X1) = X1 )
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X5,X4)
| ~ s_t(X0,X1,ext(X2,ip(X3,X0,X4,X1,X5),ip(X3,X0,X4,X1,X5),X1)) ),
inference(superposition,[status(thm)],[c_480135,c_480982]) ).
tcf(c_526096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(X1,X0,X0,ip(X2,X3,X4,X5,X0)),ip(X2,X3,X4,X5,X0))
| ( ext(X1,X0,X0,ip(X2,X3,X4,X5,X0)) = ip(X2,X3,X4,X5,X0) )
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,ext(X1,X0,X0,ip(X2,X3,X4,X5,X0)),X2) ),
inference(superposition,[status(thm)],[c_480703,c_480982]) ).
tcf(c_526097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ext(X2,X0,X0,ip(X1,X3,X4,X5,X0)) = ip(X1,X3,X4,X5,X0) )
| ~ s_t(X5,X0,X4)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,ext(X2,X0,X0,ip(X1,X3,X4,X5,X0))) ),
inference(superposition,[status(thm)],[c_480206,c_480982]) ).
tcf(c_526098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ext(X2,ip(X1,X3,X4,X5,X0),ip(X1,X3,X4,X5,X0),X1) = X1 )
| ~ s_t(X5,X0,X4)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,ext(X2,ip(X1,X3,X4,X5,X0),ip(X1,X3,X4,X5,X0),X1)) ),
inference(superposition,[status(thm)],[c_480136,c_480982]) ).
tcf(c_526099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ext(X2,X0,X0,ext(X0,X1,X3,X4)),ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X2,X0,X0,ext(X0,X1,X3,X4)) = ext(X0,X1,X3,X4) )
| ~ s_t(X0,X1,ext(X2,X0,X0,ext(X0,X1,X3,X4))) ),
inference(superposition,[status(thm)],[c_480599,c_480982]) ).
tcf(c_526101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(X2,X1,X1,ext(X0,X1,X3,X4)),ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X2,X1,X1,ext(X0,X1,X3,X4)) = ext(X0,X1,X3,X4) )
| ~ s_t(X0,X1,ext(X2,X1,X1,ext(X0,X1,X3,X4))) ),
inference(superposition,[status(thm)],[c_480646,c_480982]) ).
tcf(c_526103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ext(X1,X0,X0,crossbar(X2,X3,X4,X5,X6,X0)),crossbar(X2,X3,X4,X5,X6,X0))
| ( ext(X1,X0,X0,crossbar(X2,X3,X4,X5,X6,X0)) = crossbar(X2,X3,X4,X5,X6,X0) )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X0,X5)
| ~ s_t(X0,ext(X1,X0,X0,crossbar(X2,X3,X4,X5,X6,X0)),X4) ),
inference(superposition,[status(thm)],[c_480706,c_480982]) ).
tcf(c_526104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ext(X2,X0,X0,crossbar(X3,X4,X1,X5,X6,X0)) = crossbar(X3,X4,X1,X5,X6,X0) )
| ~ s_t(X5,X6,X1)
| ~ s_t(X3,X4,X1)
| ~ s_t(X3,X0,X5)
| ~ s_t(X0,X1,ext(X2,X0,X0,crossbar(X3,X4,X1,X5,X6,X0))) ),
inference(superposition,[status(thm)],[c_480256,c_480982]) ).
tcf(c_526105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ext(X2,crossbar(X3,X4,X1,X5,X6,X0),crossbar(X3,X4,X1,X5,X6,X0),X1) = X1 )
| ~ s_t(X5,X6,X1)
| ~ s_t(X3,X4,X1)
| ~ s_t(X3,X0,X5)
| ~ s_t(X0,X1,ext(X2,crossbar(X3,X4,X1,X5,X6,X0),crossbar(X3,X4,X1,X5,X6,X0),X1)) ),
inference(superposition,[status(thm)],[c_480259,c_480982]) ).
tcf(c_526106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ext(X2,X0,X0,crossbar(X3,X0,X4,X5,X1,X6)) = crossbar(X3,X0,X4,X5,X1,X6) )
| ~ s_t(X5,X1,X4)
| ~ s_t(X3,X6,X5)
| ~ s_t(X3,X0,X4)
| ~ s_t(X0,X1,ext(X2,X0,X0,crossbar(X3,X0,X4,X5,X1,X6))) ),
inference(superposition,[status(thm)],[c_480318,c_480982]) ).
tcf(c_526107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ext(X2,crossbar(X3,X0,X4,X5,X1,X6),crossbar(X3,X0,X4,X5,X1,X6),X1) = X1 )
| ~ s_t(X5,X1,X4)
| ~ s_t(X3,X6,X5)
| ~ s_t(X3,X0,X4)
| ~ s_t(X0,X1,ext(X2,crossbar(X3,X0,X4,X5,X1,X6),crossbar(X3,X0,X4,X5,X1,X6),X1)) ),
inference(superposition,[status(thm)],[c_480321,c_480982]) ).
tcf(c_526108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ext(X1,X0,X0,crossbar(X2,X0,X3,X4,X5,X6)),crossbar(X2,X0,X3,X4,X5,X6))
| ( ext(X1,X0,X0,crossbar(X2,X0,X3,X4,X5,X6)) = crossbar(X2,X0,X3,X4,X5,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,ext(X1,X0,X0,crossbar(X2,X0,X3,X4,X5,X6)),X5) ),
inference(superposition,[status(thm)],[c_480707,c_480982]) ).
tcf(c_526109,plain,
! [X0: $i,X1: $i] :
( ( ext(X1,X0,X0,X0) = X0 )
| ~ s_t(X0,X0,X0) ),
inference(superposition,[status(thm)],[c_480032,c_480982]) ).
tcf(c_526260,plain,
! [X0: $i,X1: $i] :
( ( ins(X0,X0,X0,X1) = X0 )
| ~ le(X0,X1,X0,X0) ),
inference(superposition,[status(thm)],[c_74,c_480985]) ).
tcf(c_526262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ins(X0,ins(X2,X3,X0,X1),X0,X4),ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ( ins(X0,ins(X2,X3,X0,X1),X0,X4) = ins(X2,X3,X0,X1) )
| ~ le(X0,X1,X2,X3)
| ~ le(X0,X4,X0,ins(X2,X3,X0,X1))
| ~ s_t(X0,X1,ins(X0,ins(X2,X3,X0,X1),X0,X4)) ),
inference(superposition,[status(thm)],[c_480739,c_480985]) ).
tcf(c_526264,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,ins(X0,X2,X0,X1),X2)
| ( X0 = X1 )
| ( ins(X0,X2,X0,X1) = X2 )
| ~ s_t(X0,X1,X2)
| ~ le(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_480739,c_480985]) ).
tcf(c_526265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ins(X1,ins(X2,X3,X0,X1),X1,X4),ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ( ins(X1,ins(X2,X3,X0,X1),X1,X4) = ins(X2,X3,X0,X1) )
| ~ le(X0,X1,X2,X3)
| ~ le(X1,X4,X1,ins(X2,X3,X0,X1))
| ~ s_t(X0,X1,ins(X1,ins(X2,X3,X0,X1),X1,X4)) ),
inference(superposition,[status(thm)],[c_480738,c_480985]) ).
tcf(c_526266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ins(X0,ip(X1,X0,X2,X3,X4),X0,X5),ip(X1,X0,X2,X3,X4))
| ( ins(X0,ip(X1,X0,X2,X3,X4),X0,X5) = ip(X1,X0,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ le(X0,X5,X0,ip(X1,X0,X2,X3,X4))
| ~ s_t(X0,ins(X0,ip(X1,X0,X2,X3,X4),X0,X5),X3) ),
inference(superposition,[status(thm)],[c_480702,c_480985]) ).
tcf(c_526267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ins(X0,ip(X2,X0,X3,X1,X4),X0,X5) = ip(X2,X0,X3,X1,X4) )
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X4,X3)
| ~ le(X0,X5,X0,ip(X2,X0,X3,X1,X4))
| ~ s_t(X0,X1,ins(X0,ip(X2,X0,X3,X1,X4),X0,X5)) ),
inference(superposition,[status(thm)],[c_480205,c_480985]) ).
tcf(c_526268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ins(ip(X2,X0,X3,X1,X4),X1,ip(X2,X0,X3,X1,X4),X5) = X1 )
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X4,X3)
| ~ le(ip(X2,X0,X3,X1,X4),X5,ip(X2,X0,X3,X1,X4),X1)
| ~ s_t(X0,X1,ins(ip(X2,X0,X3,X1,X4),X1,ip(X2,X0,X3,X1,X4),X5)) ),
inference(superposition,[status(thm)],[c_480135,c_480985]) ).
tcf(c_526269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ins(X0,ip(X1,X2,X3,X4,X0),X0,X5),ip(X1,X2,X3,X4,X0))
| ( ins(X0,ip(X1,X2,X3,X4,X0),X0,X5) = ip(X1,X2,X3,X4,X0) )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ le(X0,X5,X0,ip(X1,X2,X3,X4,X0))
| ~ s_t(X0,ins(X0,ip(X1,X2,X3,X4,X0),X0,X5),X1) ),
inference(superposition,[status(thm)],[c_480703,c_480985]) ).
tcf(c_526270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ins(X0,ip(X1,X2,X3,X4,X0),X0,X5) = ip(X1,X2,X3,X4,X0) )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ le(X0,X5,X0,ip(X1,X2,X3,X4,X0))
| ~ s_t(X0,X1,ins(X0,ip(X1,X2,X3,X4,X0),X0,X5)) ),
inference(superposition,[status(thm)],[c_480206,c_480985]) ).
tcf(c_526271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ins(ip(X1,X2,X3,X4,X0),X1,ip(X1,X2,X3,X4,X0),X5) = X1 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ le(ip(X1,X2,X3,X4,X0),X5,ip(X1,X2,X3,X4,X0),X1)
| ~ s_t(X0,X1,ins(ip(X1,X2,X3,X4,X0),X1,ip(X1,X2,X3,X4,X0),X5)) ),
inference(superposition,[status(thm)],[c_480136,c_480985]) ).
tcf(c_526272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ins(X0,ext(X0,X1,X2,X3),X0,X4),ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ins(X0,ext(X0,X1,X2,X3),X0,X4) = ext(X0,X1,X2,X3) )
| ~ le(X0,X4,X0,ext(X0,X1,X2,X3))
| ~ s_t(X0,X1,ins(X0,ext(X0,X1,X2,X3),X0,X4)) ),
inference(superposition,[status(thm)],[c_480599,c_480985]) ).
tcf(c_526273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ins(X1,ext(X0,X1,X2,X3),X1,X4),ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ins(X1,ext(X0,X1,X2,X3),X1,X4) = ext(X0,X1,X2,X3) )
| ~ le(X1,X4,X1,ext(X0,X1,X2,X3))
| ~ s_t(X0,X1,ins(X1,ext(X0,X1,X2,X3),X1,X4)) ),
inference(superposition,[status(thm)],[c_480646,c_480985]) ).
tcf(c_526274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ins(X0,crossbar(X1,X2,X3,X4,X5,X0),X0,X6),crossbar(X1,X2,X3,X4,X5,X0))
| ( ins(X0,crossbar(X1,X2,X3,X4,X5,X0),X0,X6) = crossbar(X1,X2,X3,X4,X5,X0) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ le(X0,X6,X0,crossbar(X1,X2,X3,X4,X5,X0))
| ~ s_t(X0,ins(X0,crossbar(X1,X2,X3,X4,X5,X0),X0,X6),X3) ),
inference(superposition,[status(thm)],[c_480706,c_480985]) ).
tcf(c_526275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ins(X0,crossbar(X2,X3,X1,X4,X5,X0),X0,X6) = crossbar(X2,X3,X1,X4,X5,X0) )
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X0,X4)
| ~ le(X0,X6,X0,crossbar(X2,X3,X1,X4,X5,X0))
| ~ s_t(X0,X1,ins(X0,crossbar(X2,X3,X1,X4,X5,X0),X0,X6)) ),
inference(superposition,[status(thm)],[c_480256,c_480985]) ).
tcf(c_526276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ins(crossbar(X2,X3,X1,X4,X5,X0),X1,crossbar(X2,X3,X1,X4,X5,X0),X6) = X1 )
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X0,X4)
| ~ le(crossbar(X2,X3,X1,X4,X5,X0),X6,crossbar(X2,X3,X1,X4,X5,X0),X1)
| ~ s_t(X0,X1,ins(crossbar(X2,X3,X1,X4,X5,X0),X1,crossbar(X2,X3,X1,X4,X5,X0),X6)) ),
inference(superposition,[status(thm)],[c_480259,c_480985]) ).
tcf(c_526277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ins(X0,crossbar(X2,X0,X3,X4,X1,X5),X0,X6) = crossbar(X2,X0,X3,X4,X1,X5) )
| ~ s_t(X4,X1,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X2,X0,X3)
| ~ le(X0,X6,X0,crossbar(X2,X0,X3,X4,X1,X5))
| ~ s_t(X0,X1,ins(X0,crossbar(X2,X0,X3,X4,X1,X5),X0,X6)) ),
inference(superposition,[status(thm)],[c_480318,c_480985]) ).
tcf(c_526278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ins(crossbar(X2,X0,X3,X4,X1,X5),X1,crossbar(X2,X0,X3,X4,X1,X5),X6) = X1 )
| ~ s_t(X4,X1,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X2,X0,X3)
| ~ le(crossbar(X2,X0,X3,X4,X1,X5),X6,crossbar(X2,X0,X3,X4,X1,X5),X1)
| ~ s_t(X0,X1,ins(crossbar(X2,X0,X3,X4,X1,X5),X1,crossbar(X2,X0,X3,X4,X1,X5),X6)) ),
inference(superposition,[status(thm)],[c_480321,c_480985]) ).
tcf(c_526279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ins(X0,crossbar(X1,X0,X2,X3,X4,X5),X0,X6),crossbar(X1,X0,X2,X3,X4,X5))
| ( ins(X0,crossbar(X1,X0,X2,X3,X4,X5),X0,X6) = crossbar(X1,X0,X2,X3,X4,X5) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ le(X0,X6,X0,crossbar(X1,X0,X2,X3,X4,X5))
| ~ s_t(X0,ins(X0,crossbar(X1,X0,X2,X3,X4,X5),X0,X6),X4) ),
inference(superposition,[status(thm)],[c_480707,c_480985]) ).
tcf(c_526280,plain,
! [X0: $i,X1: $i] :
( ( ins(X0,X1,X0,X1) = X1 )
| ~ le(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_523506,c_480985]) ).
tcf(c_526281,plain,
! [X0: $i,X1: $i] :
( ( ins(X0,X1,X0,X0) = X1 )
| ~ le(X0,X0,X0,X1)
| ~ s_t(X0,X1,ext(X0,X0,X0,X1)) ),
inference(superposition,[status(thm)],[c_523877,c_480985]) ).
tcf(c_526282,plain,
! [X0: $i,X1: $i] : ins(X0,X1,X0,X1) = X1,
inference(forward_subsumption_resolution,[status(thm)],[c_526280,c_115]) ).
tcf(c_526285,plain,
! [X0: $i,X1: $i] :
( ( ins(X0,X1,X0,X0) = X1 )
| ~ s_t(X0,X1,ext(X0,X0,X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_526281,c_119]) ).
tcf(c_526391,plain,
! [X0: $i,X1: $i] : ext(X0,X1,ext(ext(X1,X0,alpha,gamma),X0,X0,X1),X1) = X1,
inference(demodulation,[status(thm)],[c_480881,c_526282]) ).
tcf(c_526411,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,X2)
| le(X0,X2,X1,X2)
| le(X0,X2,X0,X1)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_118,c_481001]) ).
tcf(c_526415,plain,
! [X0: $i,X1: $i] :
( s_t(X1,X0,X0)
| le(X1,X0,X1,X0)
| ~ s_col(X1,X0,X0)
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_480889,c_481001]) ).
tcf(c_526417,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,X2)
| le(X0,X2,X0,X1)
| ( ext(X0,X2,ext(ext(X2,X1,alpha,gamma),X1,X0,X2),X2) = ins(X1,X2,X0,X2) )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480959,c_481001]) ).
tcf(c_526436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X1,X1)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X0,X1,X3,X3) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480032,c_481019]) ).
tcf(c_526445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X1 = X5 )
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X1 )
| ( crossbar(X5,X1,ext(X2,X1,X3,X4),X0,X1,X6) = X1 )
| ~ sameside(X2,X1,X5)
| ~ s_t(X5,X6,X0)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481019,c_480316]) ).
tcf(c_526446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X1 = X2 )
| ( X0 = X2 )
| ( ext(X1,X2,X3,X4) = X2 )
| ( crossbar(X0,X2,ext(X1,X2,X3,X4),X5,X6,ext(X1,X2,X3,X4)) = ext(X1,X2,X3,X4) )
| ~ sameside(X1,X2,X0)
| ~ s_t(X5,X6,ext(X1,X2,X3,X4))
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_481019,c_480254]) ).
tcf(c_526447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X1 )
| ( ext(X2,X1,X1,ext(X0,X1,X3,X4)) = ext(X0,X1,X3,X4) )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481019,c_480013]) ).
tcf(c_526448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X1 )
| ( ext(X2,X1,ext(X0,X1,X3,X4),X1) = ext(X0,X1,X3,X4) )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481019,c_480011]) ).
tcf(c_526449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X3 )
| ( X1 = X3 )
| ( ext(X2,X3,X4,X5) = X3 )
| ( ip(X1,X3,ext(X2,X3,X4,X5),X0,X1) = X1 )
| ~ sameside(X2,X3,X1)
| ~ s_t(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_481019,c_479924]) ).
tcf(c_526450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X5 )
| ( X0 = X2 )
| ( ext(X2,X0,X3,X4) = X0 )
| ( ip(X5,X0,ext(X2,X0,X3,X4),X0,X1) = X0 )
| ~ sameside(X2,X0,X5)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481019,c_479914]) ).
tcf(c_526451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(ext(X0,X1,X3,X4),X2,X1)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X2 )
| ( ext(X0,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481019,c_238]) ).
tcf(c_526452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X1,X2,ext(X0,X1,X3,X4))
| ( X2 = xb )
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481019,c_237]) ).
tcf(c_526453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,ext(X0,X1,X3,X4),X2)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481019,c_225]) ).
tcf(c_526454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,X1,X3,X4),X2,X1)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481019,c_224]) ).
tcf(c_526455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X2,X1,ext(X0,X1,X3,X4))
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481019,c_223]) ).
tcf(c_526456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X5 )
| ( X1 = X4 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_r(X5,X4,X1)
| ~ sameside(X0,X1,X5)
| ~ s_r(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_481019,c_184]) ).
tcf(c_526457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,ext(X2,X1,X3,X4))
| s_t(X0,X5,ext(X2,X1,X3,X4))
| ( X1 = X5 )
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X2,X1,X5)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481019,c_147]) ).
tcf(c_526458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( X1 = X5 )
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X2,X1,X5)
| ~ sameside(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481019,c_145]) ).
tcf(c_526459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,ext(X3,X1,X4,X5))
| ( X1 = X3 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X3,X1,X4,X5) = X1 )
| ~ sameside(X3,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481019,c_143]) ).
tcf(c_526460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X2,X1,X0)
| ~ sameside(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481019,c_133]) ).
tcf(c_526461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X5,X1,X0)
| ( X1 = X5 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X2,X1,X5)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481019,c_131]) ).
tcf(c_526462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X1,ext(X0,X1,X4,X5))
| ( X1 = X3 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X0,X1,X4,X5) = X1 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481019,c_125]) ).
tcf(c_526463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X3,X1)
| s_t(X0,X1,X3)
| ( X2 = X3 )
| ( X0 = X3 )
| ( ext(X2,X3,X4,X5) = X3 )
| ~ sameside(X2,X3,X0)
| ~ s_t(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_481019,c_109]) ).
tcf(c_526464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,ext(X3,X1,X4,X5))
| s_t(X1,ext(X3,X1,X4,X5),X2)
| ( X1 = X3 )
| ( X0 = X1 )
| ( ext(X3,X1,X4,X5) = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481019,c_108]) ).
tcf(c_526465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X2,ext(X3,X1,X4,X5))
| s_t(X0,ext(X3,X1,X4,X5),X2)
| ( X1 = X3 )
| ( X0 = X1 )
| ( ext(X3,X1,X4,X5) = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481019,c_107]) ).
tcf(c_526466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,X4)
| ( X0 = X5 )
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ sameside(X1,X0,X5)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481019,c_81]) ).
tcf(c_526467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X2,X5)
| ( X1 = X2 )
| ( X0 = X2 )
| ( ext(X1,X2,X3,X4) = X2 )
| ~ sameside(X1,X2,X0)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_481019,c_80]) ).
tcf(c_526468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X1,ext(X2,X0,X3,X4))
| ( X0 = X5 )
| ( X0 = X2 )
| ( ext(X2,X0,X3,X4) = X0 )
| ~ sameside(X2,X0,X5)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481019,c_79]) ).
tcf(c_526469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ext(X1,X0,X2,X3),X4)
| ( X0 = X5 )
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ sameside(X1,X0,X5)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481019,c_78]) ).
tcf(c_526470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ext(X1,X2,X3,X4),X5)
| ( X1 = X2 )
| ( X0 = X2 )
| ( ext(X1,X2,X3,X4) = X2 )
| ~ sameside(X1,X2,X0)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_481019,c_77]) ).
tcf(c_526471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,X1)
| ( X0 = X5 )
| ( X0 = X2 )
| ( ext(X2,X0,X3,X4) = X0 )
| ~ sameside(X2,X0,X5)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481019,c_76]) ).
tcf(c_526472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ( ext(X2,X0,X3,X4) = X0 )
| ~ sameside(X2,X0,X1)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481019,c_75]) ).
tcf(c_526473,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X0,X1,X3,X4),X1,X2)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481019,c_73]) ).
tcf(c_526479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X2,ext(X0,ext(X1,X2,X3,X4),X5,X6))
| ( ext(X1,X2,X3,X4) = X1 )
| ( ext(X1,X2,X3,X4) = X0 )
| ( ext(X0,ext(X1,X2,X3,X4),X5,X6) = ext(X1,X2,X3,X4) )
| ~ sameside(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_481019,c_480204]) ).
tcf(c_526480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(X1,X2,X3,X4),ext(X0,ext(X1,X2,X3,X4),X5,X6))
| ( ext(X1,X2,X3,X4) = X1 )
| ( ext(X1,X2,X3,X4) = X0 )
| ( ext(X0,ext(X1,X2,X3,X4),X5,X6) = ext(X1,X2,X3,X4) )
| ~ sameside(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_481019,c_480134]) ).
tcf(c_526481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ext(X0,s(X1,X2),X3,X4))
| ( s(X1,X2) = X2 )
| ( s(X1,X2) = X0 )
| ( ext(X0,s(X1,X2),X3,X4) = s(X1,X2) )
| ~ sameside(X0,s(X1,X2),X2) ),
inference(superposition,[status(thm)],[c_481019,c_485960]) ).
tcf(c_526482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ins(X1,X2,X3,X4),ext(X0,ins(X1,X2,X3,X4),X5,X6))
| ( ins(X1,X2,X3,X4) = X3 )
| ( ins(X1,X2,X3,X4) = X0 )
| ( ext(X0,ins(X1,X2,X3,X4),X5,X6) = ins(X1,X2,X3,X4) )
| ~ le(X3,X4,X1,X2)
| ~ sameside(X0,ins(X1,X2,X3,X4),X3) ),
inference(superposition,[status(thm)],[c_481019,c_480744]) ).
tcf(c_526483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X4,ext(X0,ins(X1,X2,X3,X4),X5,X6))
| ( ins(X1,X2,X3,X4) = X3 )
| ( ins(X1,X2,X3,X4) = X0 )
| ( ext(X0,ins(X1,X2,X3,X4),X5,X6) = ins(X1,X2,X3,X4) )
| ~ le(X3,X4,X1,X2)
| ~ sameside(X0,ins(X1,X2,X3,X4),X3) ),
inference(superposition,[status(thm)],[c_481019,c_480741]) ).
tcf(c_526485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X2,ext(X0,ext(X1,X2,X3,X4),X5,X6))
| ( ext(X1,X2,X3,X4) = X2 )
| ( ext(X1,X2,X3,X4) = X0 )
| ( ext(X0,ext(X1,X2,X3,X4),X5,X6) = ext(X1,X2,X3,X4) )
| ~ sameside(X0,ext(X1,X2,X3,X4),X2) ),
inference(superposition,[status(thm)],[c_481019,c_480227]) ).
tcf(c_526486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ext(X1,X2,X3,X4),ext(X0,ext(X1,X2,X3,X4),X5,X6))
| ( ext(X1,X2,X3,X4) = X2 )
| ( ext(X1,X2,X3,X4) = X0 )
| ( ext(X0,ext(X1,X2,X3,X4),X5,X6) = ext(X1,X2,X3,X4) )
| ~ sameside(X0,ext(X1,X2,X3,X4),X2) ),
inference(superposition,[status(thm)],[c_481019,c_480157]) ).
tcf(c_526487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ins(X1,X2,X3,X4),ext(X0,ins(X1,X2,X3,X4),X5,X6))
| ( ins(X1,X2,X3,X4) = X4 )
| ( ins(X1,X2,X3,X4) = X0 )
| ( ext(X0,ins(X1,X2,X3,X4),X5,X6) = ins(X1,X2,X3,X4) )
| ~ le(X3,X4,X1,X2)
| ~ sameside(X0,ins(X1,X2,X3,X4),X4) ),
inference(superposition,[status(thm)],[c_481019,c_480743]) ).
tcf(c_526488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X4,ext(X0,ins(X1,X2,X3,X4),X5,X6))
| ( ins(X1,X2,X3,X4) = X4 )
| ( ins(X1,X2,X3,X4) = X0 )
| ( ext(X0,ins(X1,X2,X3,X4),X5,X6) = ins(X1,X2,X3,X4) )
| ~ le(X3,X4,X1,X2)
| ~ sameside(X0,ins(X1,X2,X3,X4),X4) ),
inference(superposition,[status(thm)],[c_481019,c_480740]) ).
tcf(c_526490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,ip(X2,X3,X4,X1,X5),ext(X0,X1,X6,X7))
| ( X0 = X1 )
| ( ext(X0,X1,X6,X7) = X1 )
| ( ip(X2,X3,X4,X1,X5) = X1 )
| ~ s_t(X2,X3,X4)
| ~ s_t(X1,X5,X4)
| ~ sameside(X0,X1,ip(X2,X3,X4,X1,X5)) ),
inference(superposition,[status(thm)],[c_481019,c_480228]) ).
tcf(c_526491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X1,ext(X0,X1,X6,X7))
| ( X0 = X1 )
| ( ext(X0,X1,X6,X7) = X1 )
| ( ip(X2,X3,X4,X1,X5) = X1 )
| ~ s_t(X2,X3,X4)
| ~ s_t(X1,X5,X4)
| ~ sameside(X0,X1,ip(X2,X3,X4,X1,X5)) ),
inference(superposition,[status(thm)],[c_481019,c_480158]) ).
tcf(c_526492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X1,ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ( ext(X0,X1,X5,X6) = X1 )
| ( ip(X2,X3,X4,ext(X0,X1,X5,X6),X7) = X1 )
| ~ s_t(X2,X3,X4)
| ~ s_t(ext(X0,X1,X5,X6),X7,X4)
| ~ sameside(X0,X1,ip(X2,X3,X4,ext(X0,X1,X5,X6),X7)) ),
inference(superposition,[status(thm)],[c_481019,c_480182]) ).
tcf(c_526493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,ip(X2,X3,X4,ext(X0,X1,X5,X6),X7),X1)
| ( X0 = X1 )
| ( ext(X0,X1,X5,X6) = X1 )
| ( ip(X2,X3,X4,ext(X0,X1,X5,X6),X7) = X1 )
| ~ s_t(X2,X3,X4)
| ~ s_t(ext(X0,X1,X5,X6),X7,X4)
| ~ sameside(X0,X1,ip(X2,X3,X4,ext(X0,X1,X5,X6),X7)) ),
inference(superposition,[status(thm)],[c_481019,c_480112]) ).
tcf(c_526494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X4,X5) = X1 )
| ( ip(X2,X1,X3,ext(X0,X1,X4,X5),X6) = X1 )
| ~ s_t(X2,X1,X3)
| ~ s_t(ext(X0,X1,X4,X5),X6,X3)
| ~ sameside(X0,X1,ip(X2,X1,X3,ext(X0,X1,X4,X5),X6)) ),
inference(superposition,[status(thm)],[c_481019,c_480091]) ).
tcf(c_526495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X5),ext(X0,X1,X6,X7))
| ( X0 = X1 )
| ( ext(X0,X1,X6,X7) = X1 )
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,X1,ip(X1,X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_481019,c_480229]) ).
tcf(c_526496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,X1,ext(X0,X1,X6,X7))
| ( X0 = X1 )
| ( ext(X0,X1,X6,X7) = X1 )
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,X1,ip(X1,X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_481019,c_480159]) ).
tcf(c_526497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,X1,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( ip(ext(X0,X1,X2,X3),X4,X5,X6,X7) = X1 )
| ~ s_t(X6,X7,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5)
| ~ sameside(X0,X1,ip(ext(X0,X1,X2,X3),X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_481019,c_480183]) ).
tcf(c_526498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,ip(ext(X0,X1,X2,X3),X4,X5,X6,X7),X1)
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( ip(ext(X0,X1,X2,X3),X4,X5,X6,X7) = X1 )
| ~ s_t(X6,X7,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5)
| ~ sameside(X0,X1,ip(ext(X0,X1,X2,X3),X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_481019,c_480113]) ).
tcf(c_526499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( ip(ext(X0,X1,X2,X3),X4,X5,X6,X1) = X1 )
| ~ s_t(X6,X1,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5)
| ~ sameside(X0,X1,ip(ext(X0,X1,X2,X3),X4,X5,X6,X1)) ),
inference(superposition,[status(thm)],[c_481019,c_480092]) ).
tcf(c_526500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ip(X1,X2,X3,X4,X5),X4,ext(X0,ip(X1,X2,X3,X4,X5),X6,X7))
| s_t(ip(X1,X2,X3,X4,X5),ext(X0,ip(X1,X2,X3,X4,X5),X6,X7),X4)
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ( ext(X0,ip(X1,X2,X3,X4,X5),X6,X7) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X2) ),
inference(superposition,[status(thm)],[c_481019,c_480647]) ).
tcf(c_526501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X4,ext(X0,ip(X1,X2,X3,X4,X5),X6,X7))
| s_t(X2,ext(X0,ip(X1,X2,X3,X4,X5),X6,X7),X4)
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ( ext(X0,ip(X1,X2,X3,X4,X5),X6,X7) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X2) ),
inference(superposition,[status(thm)],[c_481019,c_480600]) ).
tcf(c_526502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ip(X1,X2,X3,X4,X5),X1,ext(X0,ip(X1,X2,X3,X4,X5),X6,X7))
| s_t(ip(X1,X2,X3,X4,X5),ext(X0,ip(X1,X2,X3,X4,X5),X6,X7),X1)
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ( ext(X0,ip(X1,X2,X3,X4,X5),X6,X7) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X5) ),
inference(superposition,[status(thm)],[c_481019,c_480648]) ).
tcf(c_526503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,X1,ext(X0,ip(X1,X2,X3,X4,X5),X6,X7))
| s_t(X5,ext(X0,ip(X1,X2,X3,X4,X5),X6,X7),X1)
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ( ext(X0,ip(X1,X2,X3,X4,X5),X6,X7) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X5) ),
inference(superposition,[status(thm)],[c_481019,c_480601]) ).
tcf(c_526504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X1 )
| ( ext(X0,X1,X3,X4) = ext(X2,X1,X3,X4) )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481019,c_480012]) ).
tcf(c_526505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(crossbar(X1,X2,X3,X4,X5,X6),X3,ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8),X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ( ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X6) ),
inference(superposition,[status(thm)],[c_481019,c_480651]) ).
tcf(c_526506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X6,X3,ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8))
| s_t(X6,ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8),X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ( ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X6) ),
inference(superposition,[status(thm)],[c_481019,c_480604]) ).
tcf(c_526507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X6,X1,ext(X0,X1,X7,X8))
| ( X0 = X1 )
| ( ext(X0,X1,X7,X8) = X1 )
| ( crossbar(X2,X3,X1,X4,X5,X6) = X1 )
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X3,X1)
| ~ sameside(X0,X1,crossbar(X2,X3,X1,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481019,c_480258]) ).
tcf(c_526508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X6,crossbar(X2,X3,X1,X4,X5,X6),ext(X0,X1,X7,X8))
| ( X0 = X1 )
| ( ext(X0,X1,X7,X8) = X1 )
| ( crossbar(X2,X3,X1,X4,X5,X6) = X1 )
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X3,X1)
| ~ sameside(X0,X1,crossbar(X2,X3,X1,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481019,c_480255]) ).
tcf(c_526509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X8,crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X8),X1)
| ( X0 = X1 )
| ( ext(X0,X1,X4,X5) = X1 )
| ( crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X8) = X1 )
| ~ s_t(X2,X8,X6)
| ~ s_t(X6,X7,ext(X0,X1,X4,X5))
| ~ s_t(X2,X3,ext(X0,X1,X4,X5))
| ~ sameside(X0,X1,crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X8)) ),
inference(superposition,[status(thm)],[c_481019,c_480260]) ).
tcf(c_526510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X8,X1,ext(X0,X1,X4,X5))
| ( X0 = X1 )
| ( ext(X0,X1,X4,X5) = X1 )
| ( crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X8) = X1 )
| ~ s_t(X2,X8,X6)
| ~ s_t(X6,X7,ext(X0,X1,X4,X5))
| ~ s_t(X2,X3,ext(X0,X1,X4,X5))
| ~ sameside(X0,X1,crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X8)) ),
inference(superposition,[status(thm)],[c_481019,c_480257]) ).
tcf(c_526511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X4,X5) = X1 )
| ( crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X1) = X1 )
| ~ s_t(X2,X1,X6)
| ~ s_t(X6,X7,ext(X0,X1,X4,X5))
| ~ s_t(X2,X3,ext(X0,X1,X4,X5))
| ~ sameside(X0,X1,crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X1)) ),
inference(superposition,[status(thm)],[c_481019,c_480261]) ).
tcf(c_526512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(crossbar(X1,X2,X3,X4,X5,X6),X5,ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8),X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ( ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X2) ),
inference(superposition,[status(thm)],[c_481019,c_480652]) ).
tcf(c_526513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,X5,ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8))
| s_t(X2,ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8),X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ( ext(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X2) ),
inference(superposition,[status(thm)],[c_481019,c_480605]) ).
tcf(c_526514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,X1,ext(X0,X1,X7,X8))
| ( X0 = X1 )
| ( ext(X0,X1,X7,X8) = X1 )
| ( crossbar(X2,X3,X4,X5,X1,X6) = X1 )
| ~ s_t(X5,X1,X4)
| ~ s_t(X2,X6,X5)
| ~ s_t(X2,X3,X4)
| ~ sameside(X0,X1,crossbar(X2,X3,X4,X5,X1,X6)) ),
inference(superposition,[status(thm)],[c_481019,c_480320]) ).
tcf(c_526515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,crossbar(X2,X3,X4,X5,X1,X6),ext(X0,X1,X7,X8))
| ( X0 = X1 )
| ( ext(X0,X1,X7,X8) = X1 )
| ( crossbar(X2,X3,X4,X5,X1,X6) = X1 )
| ~ s_t(X5,X1,X4)
| ~ s_t(X2,X6,X5)
| ~ s_t(X2,X3,X4)
| ~ sameside(X0,X1,crossbar(X2,X3,X4,X5,X1,X6)) ),
inference(superposition,[status(thm)],[c_481019,c_480317]) ).
tcf(c_526516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,crossbar(X2,X3,X4,X5,ext(X0,X1,X6,X7),X8),X1)
| ( X0 = X1 )
| ( ext(X0,X1,X6,X7) = X1 )
| ( crossbar(X2,X3,X4,X5,ext(X0,X1,X6,X7),X8) = X1 )
| ~ s_t(X2,X8,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X5,ext(X0,X1,X6,X7),X4)
| ~ sameside(X0,X1,crossbar(X2,X3,X4,X5,ext(X0,X1,X6,X7),X8)) ),
inference(superposition,[status(thm)],[c_481019,c_480322]) ).
tcf(c_526517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,X1,ext(X0,X1,X6,X7))
| ( X0 = X1 )
| ( ext(X0,X1,X6,X7) = X1 )
| ( crossbar(X2,X3,X4,X5,ext(X0,X1,X6,X7),X8) = X1 )
| ~ s_t(X2,X8,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X5,ext(X0,X1,X6,X7),X4)
| ~ sameside(X0,X1,crossbar(X2,X3,X4,X5,ext(X0,X1,X6,X7),X8)) ),
inference(superposition,[status(thm)],[c_481019,c_480319]) ).
tcf(c_526518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X5,X6) = X1 )
| ( crossbar(X2,X1,X3,X4,ext(X0,X1,X5,X6),X7) = X1 )
| ~ s_t(X2,X7,X4)
| ~ s_t(X2,X1,X3)
| ~ s_t(X4,ext(X0,X1,X5,X6),X3)
| ~ sameside(X0,X1,crossbar(X2,X1,X3,X4,ext(X0,X1,X5,X6),X7)) ),
inference(superposition,[status(thm)],[c_481019,c_480323]) ).
tcf(c_527184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),X3)
| s_t(X1,ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481403,c_481020]) ).
tcf(c_527185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_135,c_481020]) ).
tcf(c_527200,plain,
! [X0: $i,X1: $i] :
( s_e(X1,X0,X0,X1)
| ~ le(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_526282,c_480798]) ).
tcf(c_527202,plain,
! [X0: $i,X1: $i] :
( s_e(X1,X0,X1,X0)
| ~ le(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_526282,c_480794]) ).
tcf(c_527203,plain,
! [X0: $i,X1: $i] :
( s_t(X1,X1,X0)
| ~ le(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_526282,c_480747]) ).
tcf(c_527205,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,X1)
| s_t(X0,ins(X0,X1,X0,X1),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2)
| ~ le(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_526282,c_480739]) ).
tcf(c_527206,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X1,X2)
| s_t(X1,X2,ins(X0,X1,X0,X1))
| ( X0 = X1 )
| ~ s_t(X0,X1,X2)
| ~ le(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_526282,c_480738]) ).
tcf(c_527207,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X2,X1)
| s_t(X1,ins(X0,X1,X0,X1),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2)
| ~ le(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_526282,c_480738]) ).
tcf(c_527210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X4,X5,X2,X3)
| ~ le(X4,X5,X4,X5)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_526282,c_480915]) ).
tcf(c_527212,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,ins(X0,X1,X0,X1),X2)
| ~ s_t(X0,X1,X2)
| ~ le(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_526282,c_480744]) ).
tcf(c_527214,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,X2)
| ~ s_t(X1,X2,X1)
| ~ le(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_526282,c_480745]) ).
tcf(c_527215,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,ins(X0,X1,X0,X1))
| ~ s_t(X1,X2,X1)
| ~ le(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_526282,c_480742]) ).
tcf(c_527216,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ s_t(X1,X0,X1)
| ~ le(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_526282,c_480746]) ).
tcf(c_527218,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X2,X0,X1)
| ~ s_t(X0,X2,X1)
| ~ le(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_526282,c_480893]) ).
tcf(c_527219,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,ext(ext(X1,X0,alpha,gamma),X0,X0,X2),X1)
| ~ s_t(X0,X2,X1)
| ~ le(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_526282,c_480791]) ).
tcf(c_527224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X2,X4,X3,X5)
| ( ins(X0,X1,X0,X1) = X0 )
| ~ s_t(X0,X1,X3)
| ~ le(X0,X1,X0,X1)
| ~ s_e(X1,X4,X1,X5)
| ~ s_e(X0,X4,X0,X5)
| ~ s_t(X0,ins(X0,X1,X0,X1),X2)
| ~ s_e(ins(X0,X1,X0,X1),X2,X1,X3) ),
inference(superposition,[status(thm)],[c_526282,c_480801]) ).
tcf(c_527225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X2,X0,X3)
| ~ s_t(X0,X1,X3)
| ~ le(X0,X1,X0,X1)
| ~ s_e(X1,X2,X1,X3)
| ~ s_t(X0,ins(X0,X1,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_526282,c_480796]) ).
tcf(c_527226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X2,X3,X1)
| ~ s_t(X3,X0,X1)
| ~ le(X0,X1,X0,X1)
| ~ s_e(X1,X2,X3,X0)
| ~ s_t(X0,ins(X0,X1,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_526282,c_480793]) ).
tcf(c_527227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,ins(X2,X1,X2,X1),X3,X1)
| ( X0 = X2 )
| ~ s_col(X2,X0,X3)
| ~ le(X2,X1,X2,X1)
| ~ s_e(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_526282,c_480806]) ).
tcf(c_527230,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( ext(X2,X0,X0,X1) = ins(X0,X1,X0,X1) )
| ~ s_t(X2,X0,X1)
| ~ le(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_526282,c_480795]) ).
tcf(c_527231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X1,X0,X3)
| ~ s_t(X0,X3,X2)
| ~ le(X0,X2,X0,X2)
| ~ s_e(X1,X2,X3,X2)
| ~ s_t(X0,X1,ins(X0,X2,X0,X2)) ),
inference(superposition,[status(thm)],[c_526282,c_480792]) ).
tcf(c_527236,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,X1)
| ~ s_t(X1,X2,X1)
| ~ le(X0,X1,X0,X1) ),
inference(light_normalisation,[status(thm)],[c_527215,c_526282]) ).
tcf(c_527238,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X1,X2)
| ~ s_t(X0,X1,X2)
| ~ le(X0,X1,X0,X1) ),
inference(light_normalisation,[status(thm)],[c_527212,c_526282]) ).
tcf(c_527241,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( ext(X2,X0,X0,X1) = X1 )
| ~ s_t(X2,X0,X1)
| ~ le(X0,X1,X0,X1) ),
inference(light_normalisation,[status(thm)],[c_527230,c_526282]) ).
tcf(c_527243,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X2,X1)
| s_t(X1,X1,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2)
| ~ le(X0,X1,X0,X1) ),
inference(light_normalisation,[status(thm)],[c_527207,c_526282]) ).
tcf(c_527246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,ins(X0,X3,X0,X3),X2,X3)
| ( X0 = X1 )
| ~ s_col(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_527227,c_115,c_61]) ).
tcf(c_527250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X1,X0,X3)
| ~ s_t(X0,X3,X2)
| ~ s_e(X1,X2,X3,X2)
| ~ s_t(X0,X1,ins(X0,X2,X0,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_527231,c_115]) ).
tcf(c_527255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X2,X0)
| ~ s_t(X3,X0,X1)
| ~ s_t(X2,X3,X0)
| ~ le(X3,X0,X3,X0)
| ~ s_e(X0,X1,X2,X3) ),
inference(light_normalisation,[status(thm)],[c_527226,c_526282]) ).
tcf(c_527257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X3,X2)
| ~ s_t(X3,X0,X2)
| ~ s_t(X3,X0,X1)
| ~ le(X3,X0,X3,X0)
| ~ s_e(X0,X1,X0,X2) ),
inference(light_normalisation,[status(thm)],[c_527225,c_526282]) ).
tcf(c_527259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_e(X4,X1,X5,X2)
| ( X0 = X3 )
| ~ s_t(X0,X3,X5)
| ~ s_t(X0,X3,X4)
| ~ le(X0,X3,X0,X3)
| ~ s_e(X3,X4,X3,X5)
| ~ s_e(X3,X1,X3,X2)
| ~ s_e(X0,X1,X0,X2) ),
inference(light_normalisation,[status(thm)],[c_527224,c_526282]) ).
tcf(c_527277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_135,c_481021]) ).
tcf(c_527300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,crossbar(X0,X3,X4,X2,X5,X1),X4)
| s_t(X1,crossbar(X0,X3,X4,X2,X5,X1),X1)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X4 )
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481403,c_481024]) ).
tcf(c_527301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,crossbar(X0,X3,X4,X2,X5,X1),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X4 )
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_135,c_481024]) ).
tcf(c_527302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485798,c_481024]) ).
tcf(c_527338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),X5)
| s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481403,c_481025]) ).
tcf(c_527339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_135,c_481025]) ).
tcf(c_527356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X4,X5,X2,X3)
| le(X0,ext(X1,X0,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_523991,c_480958]) ).
tcf(c_527357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,ext(X3,X2,X0,X1),X0,X1)
| ~ le(X0,X1,X2,ext(X3,X2,X0,X1)) ),
inference(superposition,[status(thm)],[c_523991,c_117]) ).
tcf(c_527358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X4,ext(X5,X4,X0,X1),X2,X3)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_523991,c_116]) ).
tcf(c_527359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ext(X0,ext(X1,X0,X2,X3),ext(ext(X3,X2,alpha,gamma),X2,X0,ext(X1,X0,X2,X3)),X3) = ins(X2,X3,X0,ext(X1,X0,X2,X3)),
inference(superposition,[status(thm)],[c_523991,c_112]) ).
tcf(c_527360,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,ext(X0,X1,X1,X2),X2)
| ~ sameside(ext(X0,X1,X1,X2),X1,X2) ),
inference(superposition,[status(thm)],[c_523991,c_141]) ).
tcf(c_527361,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,ext(X0,X1,X1,X2),X2)
| ~ s_col(X1,ext(X0,X1,X1,X2),X2)
| ~ le(ext(X0,X1,X1,X2),X2,X1,X2) ),
inference(superposition,[status(thm)],[c_523991,c_123]) ).
tcf(c_527362,plain,
! [X0: $i,X1: $i,X2: $i] : ins(X0,X0,X1,ext(X2,X1,X0,X0)) = X1,
inference(superposition,[status(thm)],[c_523991,c_480803]) ).
tcf(c_527363,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,X0,X1,ext(X2,X1,X0,X0)),
inference(superposition,[status(thm)],[c_523991,c_480947]) ).
tcf(c_527364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_523991,c_480912]) ).
tcf(c_527398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X1 = X5 )
| ( X1 = X4 )
| ( ins(X2,X3,X4,X1) = X1 )
| ( crossbar(X5,X1,ins(X2,X3,X4,X1),X0,X1,X6) = X1 )
| ~ sameside(X4,X1,X5)
| ~ s_t(X5,X6,X0)
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_481026,c_480316]) ).
tcf(c_527399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X3 = X4 )
| ( X0 = X4 )
| ( ins(X1,X2,X3,X4) = X4 )
| ( crossbar(X0,X4,ins(X1,X2,X3,X4),X5,X6,ins(X1,X2,X3,X4)) = ins(X1,X2,X3,X4) )
| ~ sameside(X3,X4,X0)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X5,X6,ins(X1,X2,X3,X4))
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_481026,c_480254]) ).
tcf(c_527400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ( ext(X4,X1,X1,ins(X2,X3,X0,X1)) = ins(X2,X3,X0,X1) )
| ~ sameside(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481026,c_480013]) ).
tcf(c_527401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ( ext(X4,X1,ins(X2,X3,X0,X1),X1) = ins(X2,X3,X0,X1) )
| ~ sameside(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481026,c_480011]) ).
tcf(c_527402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X4 = X5 )
| ( X1 = X5 )
| ( ins(X2,X3,X4,X5) = X5 )
| ( ip(X1,X5,ins(X2,X3,X4,X5),X0,X1) = X1 )
| ~ sameside(X4,X5,X1)
| ~ le(X4,X5,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_481026,c_479924]) ).
tcf(c_527403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X5 )
| ( X0 = X4 )
| ( ins(X2,X3,X4,X0) = X0 )
| ( ip(X5,X0,ins(X2,X3,X4,X0),X0,X1) = X0 )
| ~ sameside(X4,X0,X5)
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_481026,c_479914]) ).
tcf(c_527404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(ins(X2,X3,X0,X1),X4,X1)
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X4 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ sameside(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481026,c_238]) ).
tcf(c_527405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X1,X4,ins(X2,X3,X0,X1))
| ( X4 = xb )
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ sameside(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481026,c_237]) ).
tcf(c_527406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,ins(X2,X3,X0,X1),X4)
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ sameside(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481026,c_225]) ).
tcf(c_527407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ins(X2,X3,X0,X1),X4,X1)
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ sameside(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481026,c_224]) ).
tcf(c_527408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X4,X1,ins(X2,X3,X0,X1))
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ sameside(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481026,c_223]) ).
tcf(c_527409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X3 = X5 )
| ( X3 = X4 )
| ( X2 = X3 )
| ( ins(X0,X1,X2,X3) = X3 )
| ~ s_r(X5,X4,X3)
| ~ sameside(X2,X3,X5)
| ~ le(X2,X3,X0,X1)
| ~ s_r(ins(X0,X1,X2,X3),X4,X3) ),
inference(superposition,[status(thm)],[c_481026,c_184]) ).
tcf(c_527410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,ins(X2,X3,X4,X1))
| s_t(X0,X5,ins(X2,X3,X4,X1))
| ( X1 = X5 )
| ( X1 = X4 )
| ( ins(X2,X3,X4,X1) = X1 )
| ~ sameside(X4,X1,X5)
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_481026,c_147]) ).
tcf(c_527411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( X1 = X5 )
| ( X1 = X4 )
| ( ins(X2,X3,X4,X1) = X1 )
| ~ sameside(X4,X1,X5)
| ~ le(X4,X1,X2,X3)
| ~ sameside(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_481026,c_145]) ).
tcf(c_527412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X4,X1,X5)
| sameside(X4,X1,ins(X2,X3,X0,X1))
| ( X1 = X5 )
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ sameside(X0,X1,X5)
| ~ s_col(X4,X1,X5)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481026,c_143]) ).
tcf(c_527413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X4,X1) = X1 )
| ~ sameside(X4,X1,X0)
| ~ le(X4,X1,X2,X3)
| ~ sameside(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_481026,c_133]) ).
tcf(c_527414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X5,X1,X0)
| ( X1 = X5 )
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X4,X1) = X1 )
| ~ sameside(X4,X1,X5)
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_481026,c_131]) ).
tcf(c_527415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X1,ins(X2,X3,X0,X1))
| ( X1 = X5 )
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ sameside(X4,X1,X5)
| ~ sameside(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481026,c_125]) ).
tcf(c_527416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,X1)
| s_t(X0,X1,X5)
| ( X4 = X5 )
| ( X0 = X5 )
| ( ins(X2,X3,X4,X5) = X5 )
| ~ sameside(X4,X5,X0)
| ~ le(X4,X5,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_481026,c_109]) ).
tcf(c_527417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,ins(X2,X3,X0,X1))
| s_t(X1,ins(X2,X3,X0,X1),X5)
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ sameside(X0,X1,X4)
| ~ s_t(X4,X1,X5)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481026,c_108]) ).
tcf(c_527418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X5,ins(X2,X3,X0,X1))
| s_t(X4,ins(X2,X3,X0,X1),X5)
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ sameside(X0,X1,X4)
| ~ s_t(X4,X1,X5)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481026,c_107]) ).
tcf(c_527419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,X4)
| ( X0 = X5 )
| ( X0 = X3 )
| ( ins(X1,X2,X3,X0) = X0 )
| ~ sameside(X3,X0,X5)
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_481026,c_81]) ).
tcf(c_527420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X4,X5)
| ( X3 = X4 )
| ( X0 = X4 )
| ( ins(X1,X2,X3,X4) = X4 )
| ~ sameside(X3,X4,X0)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_481026,c_80]) ).
tcf(c_527421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X1,ins(X2,X3,X4,X0))
| ( X0 = X5 )
| ( X0 = X4 )
| ( ins(X2,X3,X4,X0) = X0 )
| ~ sameside(X4,X0,X5)
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_481026,c_79]) ).
tcf(c_527422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ins(X1,X2,X3,X0),X4)
| ( X0 = X5 )
| ( X0 = X3 )
| ( ins(X1,X2,X3,X0) = X0 )
| ~ sameside(X3,X0,X5)
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_481026,c_78]) ).
tcf(c_527423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ins(X1,X2,X3,X4),X5)
| ( X3 = X4 )
| ( X0 = X4 )
| ( ins(X1,X2,X3,X4) = X4 )
| ~ sameside(X3,X4,X0)
| ~ le(X3,X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_481026,c_77]) ).
tcf(c_527424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,X1)
| ( X0 = X5 )
| ( X0 = X4 )
| ( ins(X2,X3,X4,X0) = X0 )
| ~ sameside(X4,X0,X5)
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_481026,c_76]) ).
tcf(c_527425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X4,X0) = X0 )
| ~ sameside(X4,X0,X1)
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_481026,c_75]) ).
tcf(c_527426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ins(X2,X3,X0,X1),X1,X4)
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ sameside(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481026,c_73]) ).
tcf(c_527427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X2,ins(X5,X6,X0,ext(X1,X2,X3,X4)))
| ( ext(X1,X2,X3,X4) = X1 )
| ( ext(X1,X2,X3,X4) = X0 )
| ( ins(X5,X6,X0,ext(X1,X2,X3,X4)) = ext(X1,X2,X3,X4) )
| ~ sameside(X0,ext(X1,X2,X3,X4),X1)
| ~ le(X0,ext(X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_481026,c_480204]) ).
tcf(c_527428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(X1,X2,X3,X4),ins(X5,X6,X0,ext(X1,X2,X3,X4)))
| ( ext(X1,X2,X3,X4) = X1 )
| ( ext(X1,X2,X3,X4) = X0 )
| ( ins(X5,X6,X0,ext(X1,X2,X3,X4)) = ext(X1,X2,X3,X4) )
| ~ sameside(X0,ext(X1,X2,X3,X4),X1)
| ~ le(X0,ext(X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_481026,c_480134]) ).
tcf(c_527429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ins(X3,X4,X0,s(X1,X2)))
| ( s(X1,X2) = X2 )
| ( s(X1,X2) = X0 )
| ( ins(X3,X4,X0,s(X1,X2)) = s(X1,X2) )
| ~ sameside(X0,s(X1,X2),X2)
| ~ le(X0,s(X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481026,c_485960]) ).
tcf(c_527430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ins(X1,X2,X3,X4),ins(X5,X6,X0,ins(X1,X2,X3,X4)))
| ( ins(X1,X2,X3,X4) = X3 )
| ( ins(X1,X2,X3,X4) = X0 )
| ( ins(X5,X6,X0,ins(X1,X2,X3,X4)) = ins(X1,X2,X3,X4) )
| ~ le(X3,X4,X1,X2)
| ~ sameside(X0,ins(X1,X2,X3,X4),X3)
| ~ le(X0,ins(X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_481026,c_480744]) ).
tcf(c_527431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X4,ins(X5,X6,X0,ins(X1,X2,X3,X4)))
| ( ins(X1,X2,X3,X4) = X3 )
| ( ins(X1,X2,X3,X4) = X0 )
| ( ins(X5,X6,X0,ins(X1,X2,X3,X4)) = ins(X1,X2,X3,X4) )
| ~ le(X3,X4,X1,X2)
| ~ sameside(X0,ins(X1,X2,X3,X4),X3)
| ~ le(X0,ins(X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_481026,c_480741]) ).
tcf(c_527437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,X1),X3)
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ sameside(X0,X1,X0)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481026,c_480791]) ).
tcf(c_527439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X2,ins(X5,X6,X0,ext(X1,X2,X3,X4)))
| ( ext(X1,X2,X3,X4) = X2 )
| ( ext(X1,X2,X3,X4) = X0 )
| ( ins(X5,X6,X0,ext(X1,X2,X3,X4)) = ext(X1,X2,X3,X4) )
| ~ sameside(X0,ext(X1,X2,X3,X4),X2)
| ~ le(X0,ext(X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_481026,c_480227]) ).
tcf(c_527440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ext(X1,X2,X3,X4),ins(X5,X6,X0,ext(X1,X2,X3,X4)))
| ( ext(X1,X2,X3,X4) = X2 )
| ( ext(X1,X2,X3,X4) = X0 )
| ( ins(X5,X6,X0,ext(X1,X2,X3,X4)) = ext(X1,X2,X3,X4) )
| ~ sameside(X0,ext(X1,X2,X3,X4),X2)
| ~ le(X0,ext(X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_481026,c_480157]) ).
tcf(c_527441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ins(X1,X2,X3,X4),ins(X5,X6,X0,ins(X1,X2,X3,X4)))
| ( ins(X1,X2,X3,X4) = X4 )
| ( ins(X1,X2,X3,X4) = X0 )
| ( ins(X5,X6,X0,ins(X1,X2,X3,X4)) = ins(X1,X2,X3,X4) )
| ~ le(X3,X4,X1,X2)
| ~ sameside(X0,ins(X1,X2,X3,X4),X4)
| ~ le(X0,ins(X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_481026,c_480743]) ).
tcf(c_527442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X4,ins(X5,X6,X0,ins(X1,X2,X3,X4)))
| ( ins(X1,X2,X3,X4) = X4 )
| ( ins(X1,X2,X3,X4) = X0 )
| ( ins(X5,X6,X0,ins(X1,X2,X3,X4)) = ins(X1,X2,X3,X4) )
| ~ le(X3,X4,X1,X2)
| ~ sameside(X0,ins(X1,X2,X3,X4),X4)
| ~ le(X0,ins(X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_481026,c_480740]) ).
tcf(c_527443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,ip(X2,X3,X4,X1,X5),ins(X6,X7,X0,X1))
| ( X0 = X1 )
| ( ins(X6,X7,X0,X1) = X1 )
| ( ip(X2,X3,X4,X1,X5) = X1 )
| ~ s_t(X2,X3,X4)
| ~ s_t(X1,X5,X4)
| ~ le(X0,X1,X6,X7)
| ~ sameside(X0,X1,ip(X2,X3,X4,X1,X5)) ),
inference(superposition,[status(thm)],[c_481026,c_480228]) ).
tcf(c_527444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X1,ins(X6,X7,X0,X1))
| ( X0 = X1 )
| ( ins(X6,X7,X0,X1) = X1 )
| ( ip(X2,X3,X4,X1,X5) = X1 )
| ~ s_t(X2,X3,X4)
| ~ s_t(X1,X5,X4)
| ~ le(X0,X1,X6,X7)
| ~ sameside(X0,X1,ip(X2,X3,X4,X1,X5)) ),
inference(superposition,[status(thm)],[c_481026,c_480158]) ).
tcf(c_527445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X1,ins(X5,X6,X0,X1))
| ( X0 = X1 )
| ( ins(X5,X6,X0,X1) = X1 )
| ( ip(X2,X3,X4,ins(X5,X6,X0,X1),X7) = X1 )
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,X5,X6)
| ~ s_t(ins(X5,X6,X0,X1),X7,X4)
| ~ sameside(X0,X1,ip(X2,X3,X4,ins(X5,X6,X0,X1),X7)) ),
inference(superposition,[status(thm)],[c_481026,c_480182]) ).
tcf(c_527446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,ip(X2,X3,X4,ins(X5,X6,X0,X1),X7),X1)
| ( X0 = X1 )
| ( ins(X5,X6,X0,X1) = X1 )
| ( ip(X2,X3,X4,ins(X5,X6,X0,X1),X7) = X1 )
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,X5,X6)
| ~ s_t(ins(X5,X6,X0,X1),X7,X4)
| ~ sameside(X0,X1,ip(X2,X3,X4,ins(X5,X6,X0,X1),X7)) ),
inference(superposition,[status(thm)],[c_481026,c_480112]) ).
tcf(c_527447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X0 = X1 )
| ( ins(X4,X5,X0,X1) = X1 )
| ( ip(X2,X1,X3,ins(X4,X5,X0,X1),X6) = X1 )
| ~ s_t(X2,X1,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_t(ins(X4,X5,X0,X1),X6,X3)
| ~ sameside(X0,X1,ip(X2,X1,X3,ins(X4,X5,X0,X1),X6)) ),
inference(superposition,[status(thm)],[c_481026,c_480091]) ).
tcf(c_527448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X5),ins(X6,X7,X0,X1))
| ( X0 = X1 )
| ( ins(X6,X7,X0,X1) = X1 )
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ le(X0,X1,X6,X7)
| ~ sameside(X0,X1,ip(X1,X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_481026,c_480229]) ).
tcf(c_527449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,X1,ins(X6,X7,X0,X1))
| ( X0 = X1 )
| ( ins(X6,X7,X0,X1) = X1 )
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ le(X0,X1,X6,X7)
| ~ sameside(X0,X1,ip(X1,X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_481026,c_480159]) ).
tcf(c_527450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,X1,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ( ip(ins(X2,X3,X0,X1),X4,X5,X6,X7) = X1 )
| ~ s_t(X6,X7,X5)
| ~ le(X0,X1,X2,X3)
| ~ s_t(ins(X2,X3,X0,X1),X4,X5)
| ~ sameside(X0,X1,ip(ins(X2,X3,X0,X1),X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_481026,c_480183]) ).
tcf(c_527451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,ip(ins(X2,X3,X0,X1),X4,X5,X6,X7),X1)
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ( ip(ins(X2,X3,X0,X1),X4,X5,X6,X7) = X1 )
| ~ s_t(X6,X7,X5)
| ~ le(X0,X1,X2,X3)
| ~ s_t(ins(X2,X3,X0,X1),X4,X5)
| ~ sameside(X0,X1,ip(ins(X2,X3,X0,X1),X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_481026,c_480113]) ).
tcf(c_527452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ( ip(ins(X2,X3,X0,X1),X4,X5,X6,X1) = X1 )
| ~ s_t(X6,X1,X5)
| ~ le(X0,X1,X2,X3)
| ~ s_t(ins(X2,X3,X0,X1),X4,X5)
| ~ sameside(X0,X1,ip(ins(X2,X3,X0,X1),X4,X5,X6,X1)) ),
inference(superposition,[status(thm)],[c_481026,c_480092]) ).
tcf(c_527453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ip(X1,X2,X3,X4,X5),X4,ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)))
| s_t(ip(X1,X2,X3,X4,X5),ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)),X4)
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ( ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X2)
| ~ le(X0,ip(X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_481026,c_480647]) ).
tcf(c_527454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X4,ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)))
| s_t(X2,ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)),X4)
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ( ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X2)
| ~ le(X0,ip(X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_481026,c_480600]) ).
tcf(c_527455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ip(X1,X2,X3,X4,X5),X1,ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)))
| s_t(ip(X1,X2,X3,X4,X5),ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)),X1)
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ( ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X5)
| ~ le(X0,ip(X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_481026,c_480648]) ).
tcf(c_527456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,X1,ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)))
| s_t(X5,ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)),X1)
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ( ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X5)
| ~ le(X0,ip(X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_481026,c_480601]) ).
tcf(c_527458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(crossbar(X1,X2,X3,X4,X5,X6),X3,ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)),X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ( ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X6)
| ~ le(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8) ),
inference(superposition,[status(thm)],[c_481026,c_480651]) ).
tcf(c_527459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X6,X3,ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)))
| s_t(X6,ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)),X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ( ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X6)
| ~ le(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8) ),
inference(superposition,[status(thm)],[c_481026,c_480604]) ).
tcf(c_527460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X6,X1,ins(X7,X8,X0,X1))
| ( X0 = X1 )
| ( ins(X7,X8,X0,X1) = X1 )
| ( crossbar(X2,X3,X1,X4,X5,X6) = X1 )
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X3,X1)
| ~ le(X0,X1,X7,X8)
| ~ sameside(X0,X1,crossbar(X2,X3,X1,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481026,c_480258]) ).
tcf(c_527461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X6,crossbar(X2,X3,X1,X4,X5,X6),ins(X7,X8,X0,X1))
| ( X0 = X1 )
| ( ins(X7,X8,X0,X1) = X1 )
| ( crossbar(X2,X3,X1,X4,X5,X6) = X1 )
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X3,X1)
| ~ le(X0,X1,X7,X8)
| ~ sameside(X0,X1,crossbar(X2,X3,X1,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481026,c_480255]) ).
tcf(c_527462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X8,crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X8),X1)
| ( X0 = X1 )
| ( ins(X4,X5,X0,X1) = X1 )
| ( crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X8) = X1 )
| ~ s_t(X2,X8,X6)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X6,X7,ins(X4,X5,X0,X1))
| ~ s_t(X2,X3,ins(X4,X5,X0,X1))
| ~ sameside(X0,X1,crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X8)) ),
inference(superposition,[status(thm)],[c_481026,c_480260]) ).
tcf(c_527463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X8,X1,ins(X4,X5,X0,X1))
| ( X0 = X1 )
| ( ins(X4,X5,X0,X1) = X1 )
| ( crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X8) = X1 )
| ~ s_t(X2,X8,X6)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X6,X7,ins(X4,X5,X0,X1))
| ~ s_t(X2,X3,ins(X4,X5,X0,X1))
| ~ sameside(X0,X1,crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X8)) ),
inference(superposition,[status(thm)],[c_481026,c_480257]) ).
tcf(c_527464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X0 = X1 )
| ( ins(X4,X5,X0,X1) = X1 )
| ( crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X1) = X1 )
| ~ s_t(X2,X1,X6)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X6,X7,ins(X4,X5,X0,X1))
| ~ s_t(X2,X3,ins(X4,X5,X0,X1))
| ~ sameside(X0,X1,crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X1)) ),
inference(superposition,[status(thm)],[c_481026,c_480261]) ).
tcf(c_527465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(crossbar(X1,X2,X3,X4,X5,X6),X5,ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)),X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ( ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X2)
| ~ le(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8) ),
inference(superposition,[status(thm)],[c_481026,c_480652]) ).
tcf(c_527466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,X5,ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)))
| s_t(X2,ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)),X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ( ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X2)
| ~ le(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8) ),
inference(superposition,[status(thm)],[c_481026,c_480605]) ).
tcf(c_527467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,X1,ins(X7,X8,X0,X1))
| ( X0 = X1 )
| ( ins(X7,X8,X0,X1) = X1 )
| ( crossbar(X2,X3,X4,X5,X1,X6) = X1 )
| ~ s_t(X5,X1,X4)
| ~ s_t(X2,X6,X5)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,X7,X8)
| ~ sameside(X0,X1,crossbar(X2,X3,X4,X5,X1,X6)) ),
inference(superposition,[status(thm)],[c_481026,c_480320]) ).
tcf(c_527468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,crossbar(X2,X3,X4,X5,X1,X6),ins(X7,X8,X0,X1))
| ( X0 = X1 )
| ( ins(X7,X8,X0,X1) = X1 )
| ( crossbar(X2,X3,X4,X5,X1,X6) = X1 )
| ~ s_t(X5,X1,X4)
| ~ s_t(X2,X6,X5)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,X7,X8)
| ~ sameside(X0,X1,crossbar(X2,X3,X4,X5,X1,X6)) ),
inference(superposition,[status(thm)],[c_481026,c_480317]) ).
tcf(c_527469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,crossbar(X2,X3,X4,X5,ins(X6,X7,X0,X1),X8),X1)
| ( X0 = X1 )
| ( ins(X6,X7,X0,X1) = X1 )
| ( crossbar(X2,X3,X4,X5,ins(X6,X7,X0,X1),X8) = X1 )
| ~ s_t(X2,X8,X5)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,X6,X7)
| ~ s_t(X5,ins(X6,X7,X0,X1),X4)
| ~ sameside(X0,X1,crossbar(X2,X3,X4,X5,ins(X6,X7,X0,X1),X8)) ),
inference(superposition,[status(thm)],[c_481026,c_480322]) ).
tcf(c_527470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,X1,ins(X6,X7,X0,X1))
| ( X0 = X1 )
| ( ins(X6,X7,X0,X1) = X1 )
| ( crossbar(X2,X3,X4,X5,ins(X6,X7,X0,X1),X8) = X1 )
| ~ s_t(X2,X8,X5)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,X6,X7)
| ~ s_t(X5,ins(X6,X7,X0,X1),X4)
| ~ sameside(X0,X1,crossbar(X2,X3,X4,X5,ins(X6,X7,X0,X1),X8)) ),
inference(superposition,[status(thm)],[c_481026,c_480319]) ).
tcf(c_527471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( ( X0 = X1 )
| ( ins(X5,X6,X0,X1) = X1 )
| ( crossbar(X2,X1,X3,X4,ins(X5,X6,X0,X1),X7) = X1 )
| ~ s_t(X2,X7,X4)
| ~ s_t(X2,X1,X3)
| ~ le(X0,X1,X5,X6)
| ~ s_t(X4,ins(X5,X6,X0,X1),X3)
| ~ sameside(X0,X1,crossbar(X2,X1,X3,X4,ins(X5,X6,X0,X1),X7)) ),
inference(superposition,[status(thm)],[c_481026,c_480323]) ).
tcf(c_528229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X1,c63(X0,X1,X2))
| ( X1 = X3 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ sameside(X0,X1,X3) ),
inference(global_subsumption_just,[status(thm)],[c_481084,c_128,c_23192]) ).
tcf(c_528230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X1,c63(X0,X1,X2))
| ( X1 = X3 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_528229]) ).
tcf(c_528249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X4 )
| ( X1 = X2 )
| ( crossbar(X4,X1,c63(X2,X1,X3),X0,X1,X5) = X1 )
| ~ sameside(X2,X1,X4)
| ~ sameside(X2,X1,X3)
| ~ s_t(X4,X5,X0)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_528230,c_480316]) ).
tcf(c_528250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X2 )
| ( X0 = X2 )
| ( crossbar(X0,X2,c63(X1,X2,X3),X4,X5,c63(X1,X2,X3)) = c63(X1,X2,X3) )
| ~ sameside(X1,X2,X3)
| ~ sameside(X1,X2,X0)
| ~ s_t(X4,X5,c63(X1,X2,X3))
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_528230,c_480254]) ).
tcf(c_528251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( X0 = X1 )
| ( ext(X3,X1,X1,c63(X0,X1,X2)) = c63(X0,X1,X2) )
| ~ sameside(X0,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_528230,c_480013]) ).
tcf(c_528252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( X0 = X1 )
| ( ext(X3,X1,c63(X0,X1,X2),X1) = c63(X0,X1,X2) )
| ~ sameside(X0,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_528230,c_480011]) ).
tcf(c_528253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = X3 )
| ( X1 = X3 )
| ( ip(X1,X3,c63(X2,X3,X4),X0,X1) = X1 )
| ~ sameside(X2,X3,X4)
| ~ sameside(X2,X3,X1)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_528230,c_479924]) ).
tcf(c_528254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X4 )
| ( X0 = X2 )
| ( ip(X4,X0,c63(X2,X0,X3),X0,X1) = X0 )
| ~ sameside(X2,X0,X4)
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_528230,c_479914]) ).
tcf(c_528255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(c63(X0,X1,X2),X3,X1)
| ( X1 = X3 )
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X3 )
| ~ sameside(X0,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_528230,c_238]) ).
tcf(c_528256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,X3,c63(X0,X1,X2))
| ( X3 = xb )
| ( X1 = X3 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_528230,c_237]) ).
tcf(c_528257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,c63(X0,X1,X2),X3)
| ( X1 = X3 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_528230,c_225]) ).
tcf(c_528258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(c63(X0,X1,X2),X3,X1)
| ( X1 = X3 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_528230,c_224]) ).
tcf(c_528259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X3,X1,c63(X0,X1,X2))
| ( X1 = X3 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_528230,c_223]) ).
tcf(c_528260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X4 )
| ( X1 = X3 )
| ( X0 = X1 )
| ~ s_r(X4,X3,X1)
| ~ sameside(X0,X1,X4)
| ~ sameside(X0,X1,X2)
| ~ s_r(c63(X0,X1,X2),X3,X1) ),
inference(superposition,[status(thm)],[c_528230,c_184]) ).
tcf(c_528261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,c63(X2,X1,X3))
| s_t(X0,X4,c63(X2,X1,X3))
| ( X1 = X4 )
| ( X1 = X2 )
| ( c63(X2,X1,X3) = X1 )
| ~ sameside(X2,X1,X4)
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_528230,c_147]) ).
tcf(c_528262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X1 = X4 )
| ( X1 = X2 )
| ( c63(X2,X1,X3) = X1 )
| ~ sameside(X2,X1,X4)
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_528230,c_145]) ).
tcf(c_528263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,c63(X3,X1,X4))
| ( X1 = X3 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( c63(X3,X1,X4) = X1 )
| ~ sameside(X3,X1,X4)
| ~ sameside(X3,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_528230,c_143]) ).
tcf(c_528264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X2,X1,X0)
| ~ sameside(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_528230,c_133]) ).
tcf(c_528265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,X1,X0)
| ( X1 = X4 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( c63(X2,X1,X3) = X1 )
| ~ sameside(X2,X1,X4)
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_528230,c_131]) ).
tcf(c_528266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,c63(X0,X1,X2))
| ( X1 = X4 )
| ( X1 = X3 )
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X3,X1,X4)
| ~ sameside(X0,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_528230,c_125]) ).
tcf(c_528267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X3,X1)
| s_t(X0,X1,X3)
| ( X2 = X3 )
| ( X0 = X3 )
| ~ sameside(X2,X3,X4)
| ~ sameside(X2,X3,X0)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_528230,c_109]) ).
tcf(c_528268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,c63(X3,X1,X4))
| s_t(X1,c63(X3,X1,X4),X2)
| ( X1 = X3 )
| ( X0 = X1 )
| ~ sameside(X3,X1,X4)
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_528230,c_108]) ).
tcf(c_528269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,c63(X3,X1,X4))
| s_t(X0,c63(X3,X1,X4),X2)
| ( X1 = X3 )
| ( X0 = X1 )
| ~ sameside(X3,X1,X4)
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_528230,c_107]) ).
tcf(c_528270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,X3)
| ( X0 = X4 )
| ( X0 = X1 )
| ( c63(X1,X0,X2) = X0 )
| ~ sameside(X1,X0,X4)
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_528230,c_81]) ).
tcf(c_528271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,X4)
| ( X1 = X2 )
| ( X0 = X2 )
| ~ sameside(X1,X2,X3)
| ~ sameside(X1,X2,X0)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_528230,c_80]) ).
tcf(c_528272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,c63(X2,X0,X3))
| ( X0 = X4 )
| ( X0 = X2 )
| ~ sameside(X2,X0,X4)
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_528230,c_79]) ).
tcf(c_528273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,c63(X1,X0,X2),X3)
| ( X0 = X4 )
| ( X0 = X1 )
| ( c63(X1,X0,X2) = X0 )
| ~ sameside(X1,X0,X4)
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_528230,c_78]) ).
tcf(c_528274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X1,X2,X3),X4)
| ( X1 = X2 )
| ( X0 = X2 )
| ~ sameside(X1,X2,X3)
| ~ sameside(X1,X2,X0)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_528230,c_77]) ).
tcf(c_528275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,X1)
| ( X0 = X4 )
| ( X0 = X2 )
| ~ sameside(X2,X0,X4)
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_528230,c_76]) ).
tcf(c_528276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ sameside(X2,X0,X1)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_528230,c_75]) ).
tcf(c_528277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(c63(X0,X1,X2),X1,X3)
| ( X1 = X3 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_528230,c_73]) ).
tcf(c_528278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,c63(X0,ext(X1,X2,X3,X4),X5))
| ( ext(X1,X2,X3,X4) = X1 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ sameside(X0,ext(X1,X2,X3,X4),X5)
| ~ sameside(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_528230,c_480204]) ).
tcf(c_528279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ext(X1,X2,X3,X4),c63(X0,ext(X1,X2,X3,X4),X5))
| ( ext(X1,X2,X3,X4) = X1 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ sameside(X0,ext(X1,X2,X3,X4),X5)
| ~ sameside(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_528230,c_480134]) ).
tcf(c_528280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X1,c63(X0,s(X1,X2),X3))
| ( s(X1,X2) = X2 )
| ( s(X1,X2) = X0 )
| ~ sameside(X0,s(X1,X2),X3)
| ~ sameside(X0,s(X1,X2),X2) ),
inference(superposition,[status(thm)],[c_528230,c_485960]) ).
tcf(c_528281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ins(X1,X2,X3,X4),c63(X0,ins(X1,X2,X3,X4),X5))
| ( ins(X1,X2,X3,X4) = X3 )
| ( ins(X1,X2,X3,X4) = X0 )
| ~ le(X3,X4,X1,X2)
| ~ sameside(X0,ins(X1,X2,X3,X4),X5)
| ~ sameside(X0,ins(X1,X2,X3,X4),X3) ),
inference(superposition,[status(thm)],[c_528230,c_480744]) ).
tcf(c_528282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X4,c63(X0,ins(X1,X2,X3,X4),X5))
| ( ins(X1,X2,X3,X4) = X3 )
| ( ins(X1,X2,X3,X4) = X0 )
| ~ le(X3,X4,X1,X2)
| ~ sameside(X0,ins(X1,X2,X3,X4),X5)
| ~ sameside(X0,ins(X1,X2,X3,X4),X3) ),
inference(superposition,[status(thm)],[c_528230,c_480741]) ).
tcf(c_528283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,c63(X0,ext(X1,X2,X3,X4),X5))
| ( ext(X1,X2,X3,X4) = X2 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ sameside(X0,ext(X1,X2,X3,X4),X5)
| ~ sameside(X0,ext(X1,X2,X3,X4),X2) ),
inference(superposition,[status(thm)],[c_528230,c_480227]) ).
tcf(c_528284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ext(X1,X2,X3,X4),c63(X0,ext(X1,X2,X3,X4),X5))
| ( ext(X1,X2,X3,X4) = X2 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ sameside(X0,ext(X1,X2,X3,X4),X5)
| ~ sameside(X0,ext(X1,X2,X3,X4),X2) ),
inference(superposition,[status(thm)],[c_528230,c_480157]) ).
tcf(c_528285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ins(X1,X2,X3,X4),c63(X0,ins(X1,X2,X3,X4),X5))
| ( ins(X1,X2,X3,X4) = X4 )
| ( ins(X1,X2,X3,X4) = X0 )
| ~ le(X3,X4,X1,X2)
| ~ sameside(X0,ins(X1,X2,X3,X4),X5)
| ~ sameside(X0,ins(X1,X2,X3,X4),X4) ),
inference(superposition,[status(thm)],[c_528230,c_480743]) ).
tcf(c_528286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X4,c63(X0,ins(X1,X2,X3,X4),X5))
| ( ins(X1,X2,X3,X4) = X4 )
| ( ins(X1,X2,X3,X4) = X0 )
| ~ le(X3,X4,X1,X2)
| ~ sameside(X0,ins(X1,X2,X3,X4),X5)
| ~ sameside(X0,ins(X1,X2,X3,X4),X4) ),
inference(superposition,[status(thm)],[c_528230,c_480740]) ).
tcf(c_528287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ip(X2,X3,X4,X1,X5),c63(X0,X1,X6))
| ( X0 = X1 )
| ( ip(X2,X3,X4,X1,X5) = X1 )
| ~ sameside(X0,X1,X6)
| ~ s_t(X2,X3,X4)
| ~ s_t(X1,X5,X4)
| ~ sameside(X0,X1,ip(X2,X3,X4,X1,X5)) ),
inference(superposition,[status(thm)],[c_528230,c_480228]) ).
tcf(c_528288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X1,c63(X0,X1,X6))
| ( X0 = X1 )
| ( ip(X2,X3,X4,X1,X5) = X1 )
| ~ sameside(X0,X1,X6)
| ~ s_t(X2,X3,X4)
| ~ s_t(X1,X5,X4)
| ~ sameside(X0,X1,ip(X2,X3,X4,X1,X5)) ),
inference(superposition,[status(thm)],[c_528230,c_480158]) ).
tcf(c_528289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X1,c63(X0,X1,X5))
| ( X0 = X1 )
| ( ip(X2,X3,X4,c63(X0,X1,X5),X6) = X1 )
| ~ sameside(X0,X1,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(c63(X0,X1,X5),X6,X4)
| ~ sameside(X0,X1,ip(X2,X3,X4,c63(X0,X1,X5),X6)) ),
inference(superposition,[status(thm)],[c_528230,c_480182]) ).
tcf(c_528290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ip(X2,X3,X4,c63(X0,X1,X5),X6),X1)
| ( X0 = X1 )
| ( ip(X2,X3,X4,c63(X0,X1,X5),X6) = X1 )
| ~ sameside(X0,X1,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(c63(X0,X1,X5),X6,X4)
| ~ sameside(X0,X1,ip(X2,X3,X4,c63(X0,X1,X5),X6)) ),
inference(superposition,[status(thm)],[c_528230,c_480112]) ).
tcf(c_528291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X1 )
| ( ip(X2,X1,X3,c63(X0,X1,X4),X5) = X1 )
| ~ sameside(X0,X1,X4)
| ~ s_t(X2,X1,X3)
| ~ s_t(c63(X0,X1,X4),X5,X3)
| ~ sameside(X0,X1,ip(X2,X1,X3,c63(X0,X1,X4),X5)) ),
inference(superposition,[status(thm)],[c_528230,c_480091]) ).
tcf(c_528292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X5),c63(X0,X1,X6))
| ( X0 = X1 )
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ~ sameside(X0,X1,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,X1,ip(X1,X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_528230,c_480229]) ).
tcf(c_528293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,X1,c63(X0,X1,X6))
| ( X0 = X1 )
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ~ sameside(X0,X1,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,X1,ip(X1,X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_528230,c_480159]) ).
tcf(c_528294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X1,c63(X0,X1,X2))
| ( X0 = X1 )
| ( ip(c63(X0,X1,X2),X3,X4,X5,X6) = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X5,X6,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4)
| ~ sameside(X0,X1,ip(c63(X0,X1,X2),X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_528230,c_480183]) ).
tcf(c_528295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,ip(c63(X0,X1,X2),X3,X4,X5,X6),X1)
| ( X0 = X1 )
| ( ip(c63(X0,X1,X2),X3,X4,X5,X6) = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X5,X6,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4)
| ~ sameside(X0,X1,ip(c63(X0,X1,X2),X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_528230,c_480113]) ).
tcf(c_528296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X1 )
| ( ip(c63(X0,X1,X2),X3,X4,X5,X1) = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X5,X1,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4)
| ~ sameside(X0,X1,ip(c63(X0,X1,X2),X3,X4,X5,X1)) ),
inference(superposition,[status(thm)],[c_528230,c_480092]) ).
tcf(c_528297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X1,X2,X3,X4,X5),X4,c63(X0,ip(X1,X2,X3,X4,X5),X6))
| s_t(ip(X1,X2,X3,X4,X5),c63(X0,ip(X1,X2,X3,X4,X5),X6),X4)
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X6)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X2) ),
inference(superposition,[status(thm)],[c_528230,c_480647]) ).
tcf(c_528298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X4,c63(X0,ip(X1,X2,X3,X4,X5),X6))
| s_t(X2,c63(X0,ip(X1,X2,X3,X4,X5),X6),X4)
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X6)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X2) ),
inference(superposition,[status(thm)],[c_528230,c_480600]) ).
tcf(c_528299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X1,X2,X3,X4,X5),X1,c63(X0,ip(X1,X2,X3,X4,X5),X6))
| s_t(ip(X1,X2,X3,X4,X5),c63(X0,ip(X1,X2,X3,X4,X5),X6),X1)
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X6)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X5) ),
inference(superposition,[status(thm)],[c_528230,c_480648]) ).
tcf(c_528300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,X1,c63(X0,ip(X1,X2,X3,X4,X5),X6))
| s_t(X5,c63(X0,ip(X1,X2,X3,X4,X5),X6),X1)
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X6)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X5) ),
inference(superposition,[status(thm)],[c_528230,c_480601]) ).
tcf(c_528301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X1,X2,X3,X4,X5,X6),X3,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7),X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X6) ),
inference(superposition,[status(thm)],[c_528230,c_480651]) ).
tcf(c_528302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,X3,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7))
| s_t(X6,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7),X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X6) ),
inference(superposition,[status(thm)],[c_528230,c_480604]) ).
tcf(c_528303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,X1,c63(X0,X1,X7))
| ( X0 = X1 )
| ( crossbar(X2,X3,X1,X4,X5,X6) = X1 )
| ~ sameside(X0,X1,X7)
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X3,X1)
| ~ sameside(X0,X1,crossbar(X2,X3,X1,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_528230,c_480258]) ).
tcf(c_528304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,crossbar(X2,X3,X1,X4,X5,X6),c63(X0,X1,X7))
| ( X0 = X1 )
| ( crossbar(X2,X3,X1,X4,X5,X6) = X1 )
| ~ sameside(X0,X1,X7)
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X3,X1)
| ~ sameside(X0,X1,crossbar(X2,X3,X1,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_528230,c_480255]) ).
tcf(c_528305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X7),X1)
| ( X0 = X1 )
| ( crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X7) = X1 )
| ~ sameside(X0,X1,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X5,X6,c63(X0,X1,X4))
| ~ s_t(X2,X3,c63(X0,X1,X4))
| ~ sameside(X0,X1,crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_528230,c_480260]) ).
tcf(c_528306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,X1,c63(X0,X1,X4))
| ( X0 = X1 )
| ( crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X7) = X1 )
| ~ sameside(X0,X1,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X5,X6,c63(X0,X1,X4))
| ~ s_t(X2,X3,c63(X0,X1,X4))
| ~ sameside(X0,X1,crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_528230,c_480257]) ).
tcf(c_528307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X0 = X1 )
| ( crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X1) = X1 )
| ~ sameside(X0,X1,X4)
| ~ s_t(X2,X1,X5)
| ~ s_t(X5,X6,c63(X0,X1,X4))
| ~ s_t(X2,X3,c63(X0,X1,X4))
| ~ sameside(X0,X1,crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X1)) ),
inference(superposition,[status(thm)],[c_528230,c_480261]) ).
tcf(c_528308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X1,X2,X3,X4,X5,X6),X5,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7),X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X2) ),
inference(superposition,[status(thm)],[c_528230,c_480652]) ).
tcf(c_528309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X5,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7))
| s_t(X2,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7),X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X2) ),
inference(superposition,[status(thm)],[c_528230,c_480605]) ).
tcf(c_528310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X1,c63(X0,X1,X7))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,X1,X6) = X1 )
| ~ sameside(X0,X1,X7)
| ~ s_t(X5,X1,X4)
| ~ s_t(X2,X6,X5)
| ~ s_t(X2,X3,X4)
| ~ sameside(X0,X1,crossbar(X2,X3,X4,X5,X1,X6)) ),
inference(superposition,[status(thm)],[c_528230,c_480320]) ).
tcf(c_528311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,crossbar(X2,X3,X4,X5,X1,X6),c63(X0,X1,X7))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,X1,X6) = X1 )
| ~ sameside(X0,X1,X7)
| ~ s_t(X5,X1,X4)
| ~ s_t(X2,X6,X5)
| ~ s_t(X2,X3,X4)
| ~ sameside(X0,X1,crossbar(X2,X3,X4,X5,X1,X6)) ),
inference(superposition,[status(thm)],[c_528230,c_480317]) ).
tcf(c_528312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,crossbar(X2,X3,X4,X5,c63(X0,X1,X6),X7),X1)
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,c63(X0,X1,X6),X7) = X1 )
| ~ sameside(X0,X1,X6)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X5,c63(X0,X1,X6),X4)
| ~ sameside(X0,X1,crossbar(X2,X3,X4,X5,c63(X0,X1,X6),X7)) ),
inference(superposition,[status(thm)],[c_528230,c_480322]) ).
tcf(c_528313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X1,c63(X0,X1,X6))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,c63(X0,X1,X6),X7) = X1 )
| ~ sameside(X0,X1,X6)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X5,c63(X0,X1,X6),X4)
| ~ sameside(X0,X1,crossbar(X2,X3,X4,X5,c63(X0,X1,X6),X7)) ),
inference(superposition,[status(thm)],[c_528230,c_480319]) ).
tcf(c_528314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X0 = X1 )
| ( crossbar(X2,X1,X3,X4,c63(X0,X1,X5),X6) = X1 )
| ~ sameside(X0,X1,X5)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X1,X3)
| ~ s_t(X4,c63(X0,X1,X5),X3)
| ~ sameside(X0,X1,crossbar(X2,X1,X3,X4,c63(X0,X1,X5),X6)) ),
inference(superposition,[status(thm)],[c_528230,c_480323]) ).
tcf(c_528890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,ip(X5,X0,X4,c63(X0,X1,X2),X3))
| s_t(X0,ip(X5,X0,X4,c63(X0,X1,X2),X3),X1)
| ~ sameside(X0,X1,X2)
| ~ s_t(X5,X0,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_56,c_481085]) ).
tcf(c_528891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,ip(c63(X0,X1,X2),X3,X4,X5,X0))
| s_t(X0,ip(c63(X0,X1,X2),X3,X4,X5,X0),X1)
| ~ sameside(X0,X1,X2)
| ~ s_t(X5,X0,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_57,c_481085]) ).
tcf(c_528892,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,c63(X0,X1,X2))
| s_t(X0,c63(X0,X1,X2),X1)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_481085]) ).
tcf(c_528894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X3,crossbar(X0,X1,c63(X2,X3,X4),X5,X6,X2))
| s_t(X2,crossbar(X0,X1,c63(X2,X3,X4),X5,X6,X2),X3)
| ~ sameside(X2,X3,X4)
| ~ s_t(X0,X2,X5)
| ~ s_t(X5,X6,c63(X2,X3,X4))
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_87,c_481085]) ).
tcf(c_528895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X2,crossbar(X5,X1,X4,X0,c63(X1,X2,X3),X6))
| s_t(X1,crossbar(X5,X1,X4,X0,c63(X1,X2,X3),X6),X2)
| ~ sameside(X1,X2,X3)
| ~ s_t(X5,X6,X0)
| ~ s_t(X5,X1,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_88,c_481085]) ).
tcf(c_528898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X3,ext(ext(c63(X2,X3,X4),X2,alpha,gamma),X2,X0,X1))
| s_t(X2,ext(ext(c63(X2,X3,X4),X2,alpha,gamma),X2,X0,X1),X3)
| ~ sameside(X2,X3,X4)
| ~ le(X0,X1,X2,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_231,c_481085]) ).
tcf(c_528899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X2,ins(X4,X5,X0,X1))
| s_t(X0,ins(X4,X5,X0,X1),X2)
| s_t(X0,c63(X0,X2,X3),ins(X4,X5,X0,X1))
| ( X0 = X1 )
| ~ sameside(X0,X2,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_480739,c_481085]) ).
tcf(c_528900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,ins(X4,X5,X0,X1))
| s_t(X1,ins(X4,X5,X0,X1),X2)
| s_t(X1,c63(X1,X2,X3),ins(X4,X5,X0,X1))
| ( X0 = X1 )
| ~ sameside(X1,X2,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_480738,c_481085]) ).
tcf(c_528901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X1,ip(X4,X0,X5,X3,X6))
| s_t(X0,ip(X4,X0,X5,X3,X6),X1)
| s_t(X0,c63(X0,X1,X2),ip(X4,X0,X5,X3,X6))
| ~ sameside(X0,X1,X2)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X6,X5)
| ~ s_t(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_480702,c_481085]) ).
tcf(c_528902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X2,ip(X4,X0,X5,X1,X6))
| s_t(X0,ip(X4,X0,X5,X1,X6),X2)
| ~ sameside(X0,X2,X3)
| ~ s_t(X4,X0,X5)
| ~ s_t(X1,X6,X5)
| ~ s_t(X0,X1,c63(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_480205,c_481085]) ).
tcf(c_528903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X2,X0,X3,X1,X4),X5,X1)
| s_t(ip(X2,X0,X3,X1,X4),X1,X5)
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X4,X3)
| ~ sameside(ip(X2,X0,X3,X1,X4),X5,X6)
| ~ s_t(X0,X1,c63(ip(X2,X0,X3,X1,X4),X5,X6)) ),
inference(superposition,[status(thm)],[c_480135,c_481085]) ).
tcf(c_528904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,ip(X0,c63(X1,X2,X3),X4,X1,X5))
| s_t(X1,ip(X0,c63(X1,X2,X3),X4,X1,X5),X2)
| ~ sameside(X1,X2,X3)
| ~ s_t(X1,X5,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480074,c_481085]) ).
tcf(c_528905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X1,ip(X3,X4,X5,X6,X0))
| s_t(X0,ip(X3,X4,X5,X6,X0),X1)
| s_t(X0,c63(X0,X1,X2),ip(X3,X4,X5,X6,X0))
| ~ sameside(X0,X1,X2)
| ~ s_t(X6,X0,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_480703,c_481085]) ).
tcf(c_528906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X2,ip(X1,X4,X5,X6,X0))
| s_t(X0,ip(X1,X4,X5,X6,X0),X2)
| ~ sameside(X0,X2,X3)
| ~ s_t(X6,X0,X5)
| ~ s_t(X1,X4,X5)
| ~ s_t(X0,X1,c63(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_480206,c_481085]) ).
tcf(c_528907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X1,X2,X3,X4,X0),X5,X1)
| s_t(ip(X1,X2,X3,X4,X0),X1,X5)
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(ip(X1,X2,X3,X4,X0),X5,X6)
| ~ s_t(X0,X1,c63(ip(X1,X2,X3,X4,X0),X5,X6)) ),
inference(superposition,[status(thm)],[c_480136,c_481085]) ).
tcf(c_528908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,ip(X1,X5,X4,X0,c63(X1,X2,X3)))
| s_t(X1,ip(X1,X5,X4,X0,c63(X1,X2,X3)),X2)
| ~ sameside(X1,X2,X3)
| ~ s_t(X1,X5,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480075,c_481085]) ).
tcf(c_528909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X2,ext(X0,X1,X4,X5))
| s_t(X0,ext(X0,X1,X4,X5),X2)
| s_t(X0,c63(X0,X2,X3),ext(X0,X1,X4,X5))
| ( X0 = X1 )
| ~ sameside(X0,X2,X3)
| ~ s_t(X0,X1,c63(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_480599,c_481085]) ).
tcf(c_528910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,ext(X0,X1,X4,X5))
| s_t(X1,ext(X0,X1,X4,X5),X2)
| s_t(X1,c63(X1,X2,X3),ext(X0,X1,X4,X5))
| ( X0 = X1 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X0,X1,c63(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_480646,c_481085]) ).
tcf(c_528912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,ext(ext(c63(X0,X1,X2),X0,alpha,gamma),X0,c63(X0,X1,X2),X3))
| s_t(X0,ext(ext(c63(X0,X1,X2),X0,alpha,gamma),X0,c63(X0,X1,X2),X3),X1)
| ~ sameside(X0,X1,X2)
| ~ s_t(c63(X0,X1,X2),X3,X0) ),
inference(superposition,[status(thm)],[c_480406,c_481085]) ).
tcf(c_528913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X2,ext(ext(c63(X0,X2,X3),X0,alpha,gamma),X0,X0,X1))
| s_t(X0,ext(ext(c63(X0,X2,X3),X0,alpha,gamma),X0,X0,X1),X2)
| ~ sameside(X0,X2,X3)
| ~ s_t(X0,X1,c63(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_480408,c_481085]) ).
tcf(c_528914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X1,crossbar(X4,X5,X3,X6,X7,X0))
| s_t(X0,crossbar(X4,X5,X3,X6,X7,X0),X1)
| s_t(X0,c63(X0,X1,X2),crossbar(X4,X5,X3,X6,X7,X0))
| ~ sameside(X0,X1,X2)
| ~ s_t(X6,X7,X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_480706,c_481085]) ).
tcf(c_528915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X2,crossbar(X4,X5,X1,X6,X7,X0))
| s_t(X0,crossbar(X4,X5,X1,X6,X7,X0),X2)
| ~ sameside(X0,X2,X3)
| ~ s_t(X6,X7,X1)
| ~ s_t(X4,X5,X1)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,X1,c63(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_480256,c_481085]) ).
tcf(c_528916,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X2,X3,X1,X4,X5,X0),X6,X1)
| s_t(crossbar(X2,X3,X1,X4,X5,X0),X1,X6)
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X0,X4)
| ~ sameside(crossbar(X2,X3,X1,X4,X5,X0),X6,X7)
| ~ s_t(X0,X1,c63(crossbar(X2,X3,X1,X4,X5,X0),X6,X7)) ),
inference(superposition,[status(thm)],[c_480259,c_481085]) ).
tcf(c_528917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X2,crossbar(X0,X5,X1,X4,X6,c63(X1,X2,X3)))
| s_t(X1,crossbar(X0,X5,X1,X4,X6,c63(X1,X2,X3)),X2)
| ~ sameside(X1,X2,X3)
| ~ s_t(X4,X6,X1)
| ~ s_t(X0,X5,X1)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480262,c_481085]) ).
tcf(c_528918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X2,crossbar(X4,X0,X5,X7,X1,X6))
| s_t(X0,crossbar(X4,X0,X5,X7,X1,X6),X2)
| ~ sameside(X0,X2,X3)
| ~ s_t(X7,X1,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,X1,c63(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_480318,c_481085]) ).
tcf(c_528919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X2,X0,X3,X4,X1,X5),X6,X1)
| s_t(crossbar(X2,X0,X3,X4,X1,X5),X1,X6)
| ~ s_t(X4,X1,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X2,X0,X3)
| ~ sameside(crossbar(X2,X0,X3,X4,X1,X5),X6,X7)
| ~ s_t(X0,X1,c63(crossbar(X2,X0,X3,X4,X1,X5),X6,X7)) ),
inference(superposition,[status(thm)],[c_480321,c_481085]) ).
tcf(c_528920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X1,crossbar(X4,X0,X5,X7,X3,X6))
| s_t(X0,crossbar(X4,X0,X5,X7,X3,X6),X1)
| s_t(X0,c63(X0,X1,X2),crossbar(X4,X0,X5,X7,X3,X6))
| ~ sameside(X0,X1,X2)
| ~ s_t(X7,X3,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_480707,c_481085]) ).
tcf(c_528921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X2,crossbar(X0,c63(X1,X2,X3),X4,X6,X1,X5))
| s_t(X1,crossbar(X0,c63(X1,X2,X3),X4,X6,X1,X5),X2)
| ~ sameside(X1,X2,X3)
| ~ s_t(X6,X1,X4)
| ~ s_t(X0,X5,X6)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480324,c_481085]) ).
tcf(c_529172,plain,
! [X0: $i] : s_t(s(X0,X0),X0,X0),
inference(superposition,[status(thm)],[c_161,c_517617]) ).
tcf(c_529175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(s(X1,X2),X1,s(X2,s(X1,X2)),X0,X1,X3) = X1 )
| ~ s_t(s(X1,X2),X3,X0)
| ~ s_t(X0,X1,s(X2,s(X1,X2))) ),
inference(superposition,[status(thm)],[c_517617,c_480316]) ).
tcf(c_529176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(s(X0,X1),X0,s(X1,s(X0,X1)),X2,X3,s(X1,s(X0,X1))) = s(X1,s(X0,X1)) )
| ~ s_t(X2,X3,s(X1,s(X0,X1)))
| ~ s_t(s(X0,X1),s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_517617,c_480254]) ).
tcf(c_529177,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X0 )
| ( ext(s(X0,X1),X0,X0,s(X1,s(X0,X1))) = s(X1,s(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_517617,c_480013]) ).
tcf(c_529178,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X0 )
| ( ext(s(X0,X1),X0,s(X1,s(X0,X1)),X0) = s(X1,s(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_517617,c_480011]) ).
tcf(c_529179,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(s(X1,X2),X1,s(X2,s(X1,X2)),X0,s(X1,X2)) = s(X1,X2) )
| ~ s_t(X0,s(X1,X2),s(X2,s(X1,X2))) ),
inference(superposition,[status(thm)],[c_517617,c_479924]) ).
tcf(c_529180,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(s(X0,X2),X0,s(X2,s(X0,X2)),X0,X1) = X0 )
| ~ s_t(X0,X1,s(X2,s(X0,X2))) ),
inference(superposition,[status(thm)],[c_517617,c_479914]) ).
tcf(c_529181,plain,
! [X0: $i,X1: $i] :
( sameside(s(X0,s(X1,X0)),s(X1,X0),X1)
| ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = s(X1,X0) ) ),
inference(superposition,[status(thm)],[c_517617,c_238]) ).
tcf(c_529182,plain,
! [X0: $i,X1: $i] :
( sameside(X0,s(X0,X1),s(X1,s(X0,X1)))
| ( s(X0,X1) = xb )
| ( s(X0,X1) = X0 ) ),
inference(superposition,[status(thm)],[c_517617,c_237]) ).
tcf(c_529186,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_r(s(X1,X0),X2,X1)
| ~ s_r(s(X0,s(X1,X0)),X2,X1) ),
inference(superposition,[status(thm)],[c_517617,c_184]) ).
tcf(c_529187,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,s(X1,X2),s(X2,s(X1,X2)))
| s_t(s(X1,X2),X0,s(X2,s(X1,X2)))
| ( s(X2,s(X1,X2)) = X1 )
| ~ s_t(X0,X1,s(X2,s(X1,X2))) ),
inference(superposition,[status(thm)],[c_517617,c_147]) ).
tcf(c_529188,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,s(X1,X2))
| ( s(X1,X2) = X1 )
| ( s(X2,s(X1,X2)) = X1 )
| ~ sameside(X0,X1,s(X2,s(X1,X2))) ),
inference(superposition,[status(thm)],[c_517617,c_145]) ).
tcf(c_529189,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,s(X1,X2))
| sameside(X0,X1,s(X2,s(X1,X2)))
| ( X0 = X1 )
| ( s(X1,X2) = X1 )
| ( s(X2,s(X1,X2)) = X1 )
| ~ s_col(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_517617,c_143]) ).
tcf(c_529191,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(s(X1,X2),X1,X0)
| ( X0 = X1 )
| ( s(X1,X2) = X1 )
| ( s(X2,s(X1,X2)) = X1 )
| ~ s_t(X0,X1,s(X2,s(X1,X2))) ),
inference(superposition,[status(thm)],[c_517617,c_131]) ).
tcf(c_529192,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,s(X1,s(X0,X1)))
| ( X0 = X2 )
| ( s(X0,X1) = X0 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ sameside(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_517617,c_125]) ).
tcf(c_529193,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,X1),X2,X0)
| s_t(s(X0,X1),X0,X2)
| ~ s_t(s(X0,X1),X2,s(X1,s(X0,X1))) ),
inference(superposition,[status(thm)],[c_517617,c_109]) ).
tcf(c_529194,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,s(X1,s(X0,X1)))
| s_t(X0,s(X1,s(X0,X1)),X2)
| ( s(X0,X1) = X0 )
| ~ s_t(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_517617,c_108]) ).
tcf(c_529195,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,X1),X2,s(X1,s(X0,X1)))
| s_t(s(X0,X1),s(X1,s(X0,X1)),X2)
| ( s(X0,X1) = X0 )
| ~ s_t(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_517617,c_107]) ).
tcf(c_529196,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,X1),X0,X2)
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_t(X0,s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_517617,c_81]) ).
tcf(c_529197,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,X1),X0,X2)
| ~ s_t(s(X0,X1),s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_517617,c_80]) ).
tcf(c_529198,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,X2),X1,s(X2,s(X0,X2)))
| ~ s_t(X0,X1,s(X2,s(X0,X2))) ),
inference(superposition,[status(thm)],[c_517617,c_79]) ).
tcf(c_529199,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,X1),s(X1,s(X0,X1)),X2)
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_t(X0,s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_517617,c_78]) ).
tcf(c_529200,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,s(X1,s(X0,X1)),X2)
| ~ s_t(s(X0,X1),s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_517617,c_77]) ).
tcf(c_529201,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,X2),X0,X1)
| ~ s_t(X0,X1,s(X2,s(X0,X2))) ),
inference(superposition,[status(thm)],[c_517617,c_76]) ).
tcf(c_529202,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X0 )
| ~ s_t(X0,s(X0,X1),s(X1,s(X0,X1))) ),
inference(superposition,[status(thm)],[c_517617,c_75]) ).
tcf(c_529283,plain,
! [X0: $i,X1: $i] : s_t(s(X0,X1),X0,s(s(X1,s(X0,X1)),s(X0,X1))),
inference(superposition,[status(thm)],[c_161,c_517650]) ).
tcf(c_529285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(X2,X1,s(s(s(X1,X2),X2),X2),X0,X1,X3) = X1 )
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,X1,s(s(s(X1,X2),X2),X2)) ),
inference(superposition,[status(thm)],[c_517650,c_480316]) ).
tcf(c_529286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(X0,X1,s(s(s(X1,X0),X0),X0),X2,X3,s(s(s(X1,X0),X0),X0)) = s(s(s(X1,X0),X0),X0) )
| ~ s_t(X2,X3,s(s(s(X1,X0),X0),X0))
| ~ s_t(X0,s(s(s(X1,X0),X0),X0),X2) ),
inference(superposition,[status(thm)],[c_517650,c_480254]) ).
tcf(c_529287,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X1,s(s(s(X1,X0),X0),X0)) = s(s(s(X1,X0),X0),X0) ) ),
inference(superposition,[status(thm)],[c_517650,c_480013]) ).
tcf(c_529288,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,s(s(s(X1,X0),X0),X0),X1) = s(s(s(X1,X0),X0),X0) ) ),
inference(superposition,[status(thm)],[c_517650,c_480011]) ).
tcf(c_529289,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(X1,X2,s(s(s(X2,X1),X1),X1),X0,X1) = X1 )
| ~ s_t(X0,X1,s(s(s(X2,X1),X1),X1)) ),
inference(superposition,[status(thm)],[c_517650,c_479924]) ).
tcf(c_529290,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(X2,X0,s(s(s(X0,X2),X2),X2),X0,X1) = X0 )
| ~ s_t(X0,X1,s(s(s(X0,X2),X2),X2)) ),
inference(superposition,[status(thm)],[c_517650,c_479914]) ).
tcf(c_529291,plain,
! [X0: $i,X1: $i] :
( sameside(s(s(s(X0,X1),X1),X1),X1,X0)
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = X1 ) ),
inference(superposition,[status(thm)],[c_517650,c_238]) ).
tcf(c_529292,plain,
! [X0: $i,X1: $i] :
( sameside(X1,X0,s(s(s(X1,X0),X0),X0))
| ( X0 = xb )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_517650,c_237]) ).
tcf(c_529293,plain,
! [X0: $i,X1: $i] : s_col(X0,s(s(s(X0,X1),X1),X1),X1),
inference(superposition,[status(thm)],[c_517650,c_225]) ).
tcf(c_529294,plain,
! [X0: $i,X1: $i] : s_col(s(s(s(X0,X1),X1),X1),X1,X0),
inference(superposition,[status(thm)],[c_517650,c_224]) ).
tcf(c_529295,plain,
! [X0: $i,X1: $i] : s_col(X0,X1,s(s(s(X1,X0),X0),X0)),
inference(superposition,[status(thm)],[c_517650,c_223]) ).
tcf(c_529296,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ s_r(X1,X2,X0)
| ~ s_r(s(s(s(X0,X1),X1),X1),X2,X0) ),
inference(superposition,[status(thm)],[c_517650,c_184]) ).
tcf(c_529297,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,s(s(s(X1,X2),X2),X2))
| s_t(X0,X2,s(s(s(X1,X2),X2),X2))
| ( s(s(s(X1,X2),X2),X2) = X1 )
| ~ s_t(X0,X1,s(s(s(X1,X2),X2),X2)) ),
inference(superposition,[status(thm)],[c_517650,c_147]) ).
tcf(c_529298,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X1 = X2 )
| ( s(s(s(X1,X2),X2),X2) = X1 )
| ~ sameside(X0,X1,s(s(s(X1,X2),X2),X2)) ),
inference(superposition,[status(thm)],[c_517650,c_145]) ).
tcf(c_529299,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,s(s(s(X1,X2),X2),X2))
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(s(s(X1,X2),X2),X2) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_143]) ).
tcf(c_529300,plain,
! [X0: $i,X1: $i] : ~ sameside(X0,X1,s(s(s(X1,X0),X0),X0)),
inference(superposition,[status(thm)],[c_517650,c_133]) ).
tcf(c_529301,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(s(s(X1,X2),X2),X2) = X1 )
| ~ s_t(X0,X1,s(s(s(X1,X2),X2),X2)) ),
inference(superposition,[status(thm)],[c_517650,c_131]) ).
tcf(c_529302,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,s(s(s(X1,X0),X0),X0))
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(s(s(X1,X0),X0),X0) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_125]) ).
tcf(c_529303,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,X1)
| s_t(X0,X1,X2)
| ~ s_t(X0,X1,s(s(s(X2,X0),X0),X0)) ),
inference(superposition,[status(thm)],[c_517650,c_109]) ).
tcf(c_529304,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X2,s(s(s(X1,X0),X0),X0))
| s_t(X1,s(s(s(X1,X0),X0),X0),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_108]) ).
tcf(c_529305,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,s(s(s(X1,X0),X0),X0))
| s_t(X0,s(s(s(X1,X0),X0),X0),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_107]) ).
tcf(c_529306,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X0,X2)
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_t(X0,s(s(s(X0,X1),X1),X1),X2) ),
inference(superposition,[status(thm)],[c_517650,c_81]) ).
tcf(c_529307,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,X2)
| ~ s_t(X0,s(s(s(X1,X0),X0),X0),X2) ),
inference(superposition,[status(thm)],[c_517650,c_80]) ).
tcf(c_529308,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,s(s(s(X0,X2),X2),X2))
| ~ s_t(X0,X1,s(s(s(X0,X2),X2),X2)) ),
inference(superposition,[status(thm)],[c_517650,c_79]) ).
tcf(c_529309,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,s(s(s(X0,X1),X1),X1),X2)
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_t(X0,s(s(s(X0,X1),X1),X1),X2) ),
inference(superposition,[status(thm)],[c_517650,c_78]) ).
tcf(c_529310,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,s(s(s(X1,X0),X0),X0),X2)
| ~ s_t(X0,s(s(s(X1,X0),X0),X0),X2) ),
inference(superposition,[status(thm)],[c_517650,c_77]) ).
tcf(c_529311,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,X1)
| ~ s_t(X0,X1,s(s(s(X0,X2),X2),X2)) ),
inference(superposition,[status(thm)],[c_517650,c_76]) ).
tcf(c_529312,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ s_t(X0,X1,s(s(s(X0,X1),X1),X1)) ),
inference(superposition,[status(thm)],[c_517650,c_75]) ).
tcf(c_529313,plain,
! [X0: $i,X1: $i] : s_t(s(s(s(X0,X1),X1),X1),X0,X1),
inference(superposition,[status(thm)],[c_517650,c_73]) ).
tcf(c_529314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,s(s(s(ext(X0,X1,X2,X3),X0),X0),X0)),
inference(superposition,[status(thm)],[c_517650,c_480204]) ).
tcf(c_529315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,ext(X1,X0,X2,X3),s(s(s(ext(X1,X0,X2,X3),X1),X1),X1)),
inference(superposition,[status(thm)],[c_517650,c_480134]) ).
tcf(c_529316,plain,
! [X0: $i,X1: $i] : s_t(X0,X1,s(s(s(s(X1,X0),X0),X0),X0)),
inference(superposition,[status(thm)],[c_517650,c_485960]) ).
tcf(c_529317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,ins(X2,X3,X0,X1),s(s(s(ins(X2,X3,X0,X1),X0),X0),X0))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_517650,c_480744]) ).
tcf(c_529318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,s(s(s(ins(X2,X3,X0,X1),X0),X0),X0))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_517650,c_480741]) ).
tcf(c_529319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,s(s(s(ext(X0,X1,X2,X3),X1),X1),X1))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_517650,c_480227]) ).
tcf(c_529320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ext(X0,X1,X2,X3),s(s(s(ext(X0,X1,X2,X3),X1),X1),X1))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_517650,c_480157]) ).
tcf(c_529321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ins(X2,X3,X0,X1),s(s(s(ins(X2,X3,X0,X1),X1),X1),X1))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_517650,c_480743]) ).
tcf(c_529322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,s(s(s(ins(X2,X3,X0,X1),X1),X1),X1))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_517650,c_480740]) ).
tcf(c_529323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),s(s(s(X3,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_480228]) ).
tcf(c_529324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,s(s(s(X3,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_480158]) ).
tcf(c_529325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),s(s(s(X0,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_480229]) ).
tcf(c_529326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,s(s(s(X0,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_480159]) ).
tcf(c_529327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X3,s(s(s(ip(X0,X1,X2,X3,X4),X1),X1),X1))
| s_t(ip(X0,X1,X2,X3,X4),s(s(s(ip(X0,X1,X2,X3,X4),X1),X1),X1),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_480647]) ).
tcf(c_529328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,s(s(s(ip(X0,X1,X2,X3,X4),X1),X1),X1))
| s_t(X1,s(s(s(ip(X0,X1,X2,X3,X4),X1),X1),X1),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_480600]) ).
tcf(c_529329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X0,s(s(s(ip(X0,X1,X2,X3,X4),X4),X4),X4))
| s_t(ip(X0,X1,X2,X3,X4),s(s(s(ip(X0,X1,X2,X3,X4),X4),X4),X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_480648]) ).
tcf(c_529330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,s(s(s(ip(X0,X1,X2,X3,X4),X4),X4),X4))
| s_t(X4,s(s(s(ip(X0,X1,X2,X3,X4),X4),X4),X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_480601]) ).
tcf(c_529331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(crossbar(X0,X3,X4,X2,X5,X1),X4,s(s(s(crossbar(X0,X3,X4,X2,X5,X1),X1),X1),X1))
| s_t(crossbar(X0,X3,X4,X2,X5,X1),s(s(s(crossbar(X0,X3,X4,X2,X5,X1),X1),X1),X1),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_480651]) ).
tcf(c_529332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X4,s(s(s(crossbar(X0,X3,X4,X2,X5,X1),X1),X1),X1))
| s_t(X1,s(s(s(crossbar(X0,X3,X4,X2,X5,X1),X1),X1),X1),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_480604]) ).
tcf(c_529333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,s(s(s(X2,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_480258]) ).
tcf(c_529334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X5,X3),s(s(s(X2,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_480255]) ).
tcf(c_529335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(crossbar(X0,X1,X2,X4,X5,X3),X5,s(s(s(crossbar(X0,X1,X2,X4,X5,X3),X1),X1),X1))
| s_t(crossbar(X0,X1,X2,X4,X5,X3),s(s(s(crossbar(X0,X1,X2,X4,X5,X3),X1),X1),X1),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_480652]) ).
tcf(c_529336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,s(s(s(crossbar(X0,X1,X2,X4,X5,X3),X1),X1),X1))
| s_t(X1,s(s(s(crossbar(X0,X1,X2,X4,X5,X3),X1),X1),X1),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_480605]) ).
tcf(c_529337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,s(s(s(X5,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_480320]) ).
tcf(c_529338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),s(s(s(X5,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_480317]) ).
tcf(c_529673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,c63(X2,X3,X4),X1)
| ( X2 = X3 )
| ( crossbar(X3,X1,c63(X2,X3,X4),X0,X1,X5) = X1 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X3,X5,X0)
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481086,c_480316]) ).
tcf(c_529674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,c63(X1,X0,X2),X5)
| ( X0 = X1 )
| ( crossbar(X0,X5,c63(X1,X0,X2),X3,X4,c63(X1,X0,X2)) = c63(X1,X0,X2) )
| ~ sameside(X1,X0,X2)
| ~ s_t(X1,X0,X5)
| ~ s_t(X3,X4,c63(X1,X0,X2))
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_481086,c_480254]) ).
tcf(c_529675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,c63(X0,X1,X3),X2)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X1,X2,X2,c63(X0,X1,X3)) = c63(X0,X1,X3) )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_480013]) ).
tcf(c_529676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,c63(X0,X1,X3),X2)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X1,X2,c63(X0,X1,X3),X2) = c63(X0,X1,X3) )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_480011]) ).
tcf(c_529677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X2,X1,X3),X4)
| ( X1 = X2 )
| ( ip(X1,X4,c63(X2,X1,X3),X0,X1) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X2,X1,X4)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481086,c_479924]) ).
tcf(c_529678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,c63(X2,X3,X4),X0)
| ( X2 = X3 )
| ( ip(X3,X0,c63(X2,X3,X4),X0,X1) = X0 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481086,c_479914]) ).
tcf(c_529679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(c63(X0,X1,X3),X1,X2)
| s_t(X1,c63(X0,X1,X3),X2)
| ( X1 = X2 )
| ( X0 = X1 )
| ( c63(X0,X1,X3) = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_238]) ).
tcf(c_529680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X2,X1,c63(X0,X1,X3))
| s_t(X1,c63(X0,X1,X3),X2)
| ( X1 = xb )
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_237]) ).
tcf(c_529681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X2,c63(X0,X1,X3),X1)
| s_t(X1,c63(X0,X1,X3),X2)
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_225]) ).
tcf(c_529682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(c63(X0,X1,X3),X1,X2)
| s_t(X1,c63(X0,X1,X3),X2)
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_224]) ).
tcf(c_529683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,c63(X0,X1,X3))
| s_t(X1,c63(X0,X1,X3),X2)
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_223]) ).
tcf(c_529684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X0,X1,X2),X4)
| ( X3 = X4 )
| ( X0 = X1 )
| ~ s_r(X1,X3,X4)
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X4)
| ~ s_r(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481086,c_184]) ).
tcf(c_529685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X0,c63(X2,X3,X4))
| s_t(X3,c63(X2,X3,X4),X1)
| s_t(X0,X3,c63(X2,X3,X4))
| ( X2 = X3 )
| ( c63(X2,X3,X4) = X1 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481086,c_147]) ).
tcf(c_529686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X3)
| s_t(X3,c63(X2,X3,X4),X1)
| ( X2 = X3 )
| ( X1 = X3 )
| ( c63(X2,X3,X4) = X1 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X2,X3,X1)
| ~ sameside(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481086,c_145]) ).
tcf(c_529687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X3,X2,X1)
| sameside(X3,X2,c63(X0,X1,X4))
| s_t(X1,c63(X0,X1,X4),X2)
| ( X2 = X3 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( c63(X0,X1,X4) = X2 )
| ~ sameside(X0,X1,X4)
| ~ s_col(X3,X2,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_143]) ).
tcf(c_529688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,c63(X2,X0,X3),X1)
| ( X0 = X2 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X2,X0,X1)
| ~ sameside(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481086,c_133]) ).
tcf(c_529689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X3,X1,X0)
| s_t(X3,c63(X2,X3,X4),X1)
| ( X2 = X3 )
| ( X1 = X3 )
| ( X0 = X1 )
| ( c63(X2,X3,X4) = X1 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481086,c_131]) ).
tcf(c_529690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X2,c63(X0,X1,X3))
| s_t(X1,c63(X0,X1,X3),X2)
| ( X2 = X4 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( c63(X0,X1,X3) = X2 )
| ~ sameside(X1,X2,X4)
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_125]) ).
tcf(c_529691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,X1)
| s_t(X0,X1,X4)
| s_t(X0,c63(X2,X0,X3),X4)
| ( X0 = X2 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481086,c_109]) ).
tcf(c_529692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X3,c63(X0,X1,X4))
| s_t(X2,c63(X0,X1,X4),X3)
| s_t(X1,c63(X0,X1,X4),X2)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_108]) ).
tcf(c_529693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,c63(X0,X1,X4))
| s_t(X1,c63(X0,X1,X4),X3)
| s_t(X1,c63(X0,X1,X4),X2)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_107]) ).
tcf(c_529694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,X4)
| s_t(X2,c63(X1,X2,X3),X0)
| ( X1 = X2 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X1,X2,X0)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481086,c_81]) ).
tcf(c_529695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,X3)
| s_t(X0,c63(X1,X0,X2),X4)
| ( X0 = X1 )
| ~ sameside(X1,X0,X2)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_481086,c_80]) ).
tcf(c_529696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X1,c63(X2,X3,X4))
| s_t(X3,c63(X2,X3,X4),X0)
| ( X2 = X3 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481086,c_79]) ).
tcf(c_529697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X1,X2,X3),X4)
| s_t(X2,c63(X1,X2,X3),X0)
| ( X1 = X2 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X1,X2,X0)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481086,c_78]) ).
tcf(c_529698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,c63(X1,X0,X2),X3)
| s_t(X0,c63(X1,X0,X2),X4)
| ( X0 = X1 )
| ~ sameside(X1,X0,X2)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_481086,c_77]) ).
tcf(c_529699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X0,X1)
| s_t(X3,c63(X2,X3,X4),X0)
| ( X2 = X3 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481086,c_76]) ).
tcf(c_529700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,c63(X2,X1,X3),X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X2,X1,X0)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481086,c_75]) ).
tcf(c_529701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,c63(X0,X1,X3),X2)
| s_t(c63(X0,X1,X3),X2,X1)
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_73]) ).
tcf(c_529702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,c63(X0,X1,X5))
| s_t(X1,c63(X0,X1,X5),ext(X1,X2,X3,X4))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ s_t(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481086,c_480204]) ).
tcf(c_529703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ext(X1,X2,X3,X4),c63(X0,X1,X5))
| s_t(X1,c63(X0,X1,X5),ext(X1,X2,X3,X4))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ s_t(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481086,c_480134]) ).
tcf(c_529704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X2,c63(X0,X1,X3))
| s_t(X1,c63(X0,X1,X3),s(X2,X1))
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,s(X2,X1)) ),
inference(superposition,[status(thm)],[c_481086,c_485960]) ).
tcf(c_529705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ins(X2,X3,X1,X4),c63(X0,X1,X5))
| s_t(X1,c63(X0,X1,X5),ins(X2,X3,X1,X4))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_481086,c_480744]) ).
tcf(c_529706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X4,c63(X0,X1,X5))
| s_t(X1,c63(X0,X1,X5),ins(X2,X3,X1,X4))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_481086,c_480741]) ).
tcf(c_529707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,c63(X0,X1,X5))
| s_t(X1,c63(X0,X1,X5),ext(X2,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X5)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481086,c_480227]) ).
tcf(c_529708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ext(X2,X1,X3,X4),c63(X0,X1,X5))
| s_t(X1,c63(X0,X1,X5),ext(X2,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X5)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481086,c_480157]) ).
tcf(c_529709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ins(X2,X3,X4,X1),c63(X0,X1,X5))
| s_t(X1,c63(X0,X1,X5),ins(X2,X3,X4,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X4,X1) = X1 )
| ~ sameside(X0,X1,X5)
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_481086,c_480743]) ).
tcf(c_529710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X1,c63(X0,X1,X5))
| s_t(X1,c63(X0,X1,X5),ins(X2,X3,X4,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X4,X1) = X1 )
| ~ sameside(X0,X1,X5)
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_481086,c_480740]) ).
tcf(c_529712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ip(X1,X2,X3,X4,X5),c63(X0,ip(X1,X2,X3,X4,X5),X6))
| s_t(ip(X1,X2,X3,X4,X5),c63(X0,ip(X1,X2,X3,X4,X5),X6),X4)
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X6)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_481086,c_480228]) ).
tcf(c_529713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X4,c63(X0,ip(X1,X2,X3,X4,X5),X6))
| s_t(ip(X1,X2,X3,X4,X5),c63(X0,ip(X1,X2,X3,X4,X5),X6),X4)
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X6)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_481086,c_480158]) ).
tcf(c_529714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X5),c63(X0,ip(X1,X2,X3,X4,X5),X6))
| s_t(ip(X1,X2,X3,X4,X5),c63(X0,ip(X1,X2,X3,X4,X5),X6),X1)
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X6)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_481086,c_480229]) ).
tcf(c_529715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,X1,c63(X0,ip(X1,X2,X3,X4,X5),X6))
| s_t(ip(X1,X2,X3,X4,X5),c63(X0,ip(X1,X2,X3,X4,X5),X6),X1)
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X6)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_481086,c_480159]) ).
tcf(c_529716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,c63(X0,X1,X6),ip(X2,X1,X3,X4,X5))
| s_t(ip(X2,X1,X3,X4,X5),X4,c63(X0,X1,X6))
| s_t(ip(X2,X1,X3,X4,X5),c63(X0,X1,X6),X4)
| ( X0 = X1 )
| ( ip(X2,X1,X3,X4,X5) = X1 )
| ~ sameside(X0,X1,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,ip(X2,X1,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_481086,c_480647]) ).
tcf(c_529717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X4,c63(X0,X1,X6))
| s_t(X1,c63(X0,X1,X6),X4)
| s_t(X1,c63(X0,X1,X6),ip(X2,X1,X3,X4,X5))
| ( X0 = X1 )
| ( ip(X2,X1,X3,X4,X5) = X1 )
| ~ sameside(X0,X1,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,ip(X2,X1,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_481086,c_480600]) ).
tcf(c_529718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,c63(X0,X1,X6),ip(X2,X3,X4,X5,X1))
| s_t(ip(X2,X3,X4,X5,X1),X2,c63(X0,X1,X6))
| s_t(ip(X2,X3,X4,X5,X1),c63(X0,X1,X6),X2)
| ( X0 = X1 )
| ( ip(X2,X3,X4,X5,X1) = X1 )
| ~ sameside(X0,X1,X6)
| ~ s_t(X5,X1,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X1)) ),
inference(superposition,[status(thm)],[c_481086,c_480648]) ).
tcf(c_529719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X2,c63(X0,X1,X6))
| s_t(X1,c63(X0,X1,X6),X2)
| s_t(X1,c63(X0,X1,X6),ip(X2,X3,X4,X5,X1))
| ( X0 = X1 )
| ( ip(X2,X3,X4,X5,X1) = X1 )
| ~ sameside(X0,X1,X6)
| ~ s_t(X5,X1,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X1)) ),
inference(superposition,[status(thm)],[c_481086,c_480601]) ).
tcf(c_529720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,c63(X0,X1,X7),crossbar(X2,X3,X4,X5,X6,X1))
| s_t(crossbar(X2,X3,X4,X5,X6,X1),X4,c63(X0,X1,X7))
| s_t(crossbar(X2,X3,X4,X5,X6,X1),c63(X0,X1,X7),X4)
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,X6,X1) = X1 )
| ~ sameside(X0,X1,X7)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X1,X5)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X1)) ),
inference(superposition,[status(thm)],[c_481086,c_480651]) ).
tcf(c_529721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X4,c63(X0,X1,X7))
| s_t(X1,c63(X0,X1,X7),X4)
| s_t(X1,c63(X0,X1,X7),crossbar(X2,X3,X4,X5,X6,X1))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,X6,X1) = X1 )
| ~ sameside(X0,X1,X7)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X1,X5)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X1)) ),
inference(superposition,[status(thm)],[c_481086,c_480604]) ).
tcf(c_529722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,X3,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7),X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_481086,c_480258]) ).
tcf(c_529723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,crossbar(X1,X2,X3,X4,X5,X6),c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7),X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_481086,c_480255]) ).
tcf(c_529724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,c63(X0,X1,X7),crossbar(X2,X1,X3,X4,X5,X6))
| s_t(crossbar(X2,X1,X3,X4,X5,X6),X5,c63(X0,X1,X7))
| s_t(crossbar(X2,X1,X3,X4,X5,X6),c63(X0,X1,X7),X5)
| ( X0 = X1 )
| ( crossbar(X2,X1,X3,X4,X5,X6) = X1 )
| ~ sameside(X0,X1,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,crossbar(X2,X1,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481086,c_480652]) ).
tcf(c_529725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X5,c63(X0,X1,X7))
| s_t(X1,c63(X0,X1,X7),X5)
| s_t(X1,c63(X0,X1,X7),crossbar(X2,X1,X3,X4,X5,X6))
| ( X0 = X1 )
| ( crossbar(X2,X1,X3,X4,X5,X6) = X1 )
| ~ sameside(X0,X1,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,crossbar(X2,X1,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481086,c_480605]) ).
tcf(c_529726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X5,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7),X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_481086,c_480320]) ).
tcf(c_529727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,crossbar(X1,X2,X3,X4,X5,X6),c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7),X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_481086,c_480317]) ).
tcf(c_529728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X1,c63(X0,X1,X2))
| s_e(X3,X3,c63(X0,X1,X2),X1)
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481086,c_507196]) ).
tcf(c_529729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X1,c63(X0,X1,X2))
| s_e(X3,X3,X1,c63(X0,X1,X2))
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481086,c_507140]) ).
tcf(c_529730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X1,c63(X0,X1,X2))
| s_t(X3,ext(ext(X3,X3,alpha,gamma),X3,X1,c63(X0,X1,X2)),X3)
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481086,c_480409]) ).
tcf(c_529731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X1,c63(X0,X1,X2))
| le(X1,c63(X0,X1,X2),X3,X3)
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481086,c_480892]) ).
tcf(c_529732,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X1,c63(X0,X1,X2),X1)
| s_t(X1,X1,c63(X0,X1,X2))
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481086,c_486468]) ).
tcf(c_529733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,c63(X0,X1,X2),X1)
| s_t(X1,X1,c63(X0,X1,X2))
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481086,c_480184]) ).
tcf(c_529734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X1,c63(X0,X1,X2))
| s_t(X1,X1,c63(X0,X1,X2))
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481086,c_480114]) ).
tcf(c_529735,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X1,c63(X0,X1,X2))
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481086,c_55]) ).
tcf(c_529736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X4,c63(X1,X2,X3))
| ( X1 = X2 )
| ( crossbar(X2,c63(X1,X2,X3),X4,X0,c63(X1,X2,X3),X5) = c63(X1,X2,X3) )
| ~ sameside(X1,X2,X3)
| ~ s_t(X2,X5,X0)
| ~ s_t(X1,X2,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481086,c_480316]) ).
tcf(c_529737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,c63(X0,X1,X5))
| ( X0 = X1 )
| ( crossbar(X1,c63(X0,X1,X5),X2,X3,X4,X2) = X2 )
| ~ sameside(X0,X1,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_480254]) ).
tcf(c_529738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X2,c63(X0,X1,X3))
| ( X0 = X1 )
| ( c63(X0,X1,X3) = X1 )
| ( ext(X1,c63(X0,X1,X3),c63(X0,X1,X3),X2) = X2 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_480013]) ).
tcf(c_529739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X2,c63(X0,X1,X3))
| ( X0 = X1 )
| ( c63(X0,X1,X3) = X1 )
| ( ext(X1,c63(X0,X1,X3),X2,c63(X0,X1,X3)) = X2 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_480011]) ).
tcf(c_529740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,c63(X0,X1,X4))
| ( X0 = X1 )
| ( ip(X1,c63(X0,X1,X4),X2,X3,X1) = X1 )
| ~ sameside(X0,X1,X4)
| ~ s_t(X3,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_479924]) ).
tcf(c_529741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X4,c63(X0,X1,X2))
| ( X0 = X1 )
| ( ip(X1,c63(X0,X1,X2),X4,c63(X0,X1,X2),X3) = c63(X0,X1,X2) )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481086,c_479914]) ).
tcf(c_529742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X2,X1,c63(X0,X1,X3))
| s_t(X1,X2,c63(X0,X1,X3))
| ( X1 = X2 )
| ( X0 = X1 )
| ( c63(X0,X1,X3) = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_238]) ).
tcf(c_529743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(c63(X0,X1,X3),X1,X2)
| s_t(X1,X2,c63(X0,X1,X3))
| ( X1 = xb )
| ( X0 = X1 )
| ( c63(X0,X1,X3) = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_237]) ).
tcf(c_529744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(c63(X0,X1,X3),X2,X1)
| s_t(X1,X2,c63(X0,X1,X3))
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_225]) ).
tcf(c_529745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X2,X1,c63(X0,X1,X3))
| s_t(X1,X2,c63(X0,X1,X3))
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_224]) ).
tcf(c_529746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,c63(X0,X1,X3),X2)
| s_t(X1,X2,c63(X0,X1,X3))
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_223]) ).
tcf(c_529747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,c63(X2,X0,X3))
| ( X0 = X2 )
| ( c63(X2,X0,X3) = X1 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X2,X0,X4)
| ~ s_r(X4,X1,c63(X2,X0,X3))
| ~ s_r(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481086,c_184]) ).
tcf(c_529748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,X4)
| s_t(X0,X2,X4)
| s_t(X2,X4,c63(X1,X2,X3))
| ( X1 = X2 )
| ( c63(X1,X2,X3) = X4 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X1,X2,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481086,c_147]) ).
tcf(c_529749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,c63(X1,X2,X3),X2)
| s_t(X2,X4,c63(X1,X2,X3))
| ( X1 = X2 )
| ( c63(X1,X2,X3) = X4 )
| ( c63(X1,X2,X3) = X2 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X1,X2,X4)
| ~ sameside(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481086,c_145]) ).
tcf(c_529750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,c63(X1,X2,X3),X4)
| sameside(X0,c63(X1,X2,X3),X2)
| s_t(X2,X4,c63(X1,X2,X3))
| ( X1 = X2 )
| ( c63(X1,X2,X3) = X4 )
| ( c63(X1,X2,X3) = X2 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X1,X2,X4)
| ~ s_col(X0,c63(X1,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_481086,c_143]) ).
tcf(c_529751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X3,c63(X1,X0,X2))
| ( X0 = X1 )
| ~ sameside(X1,X0,X2)
| ~ s_t(X1,X0,X3)
| ~ sameside(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_481086,c_133]) ).
tcf(c_529752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,c63(X1,X2,X3),X0)
| s_t(X2,X4,c63(X1,X2,X3))
| ( X1 = X2 )
| ( c63(X1,X2,X3) = X4 )
| ( c63(X1,X2,X3) = X2 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X1,X2,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481086,c_131]) ).
tcf(c_529753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,c63(X1,X0,X2),X4)
| s_t(X0,X4,c63(X1,X0,X2))
| ( X0 = X1 )
| ( c63(X1,X0,X2) = X4 )
| ( c63(X1,X0,X2) = X3 )
| ( c63(X1,X0,X2) = X0 )
| ~ sameside(X1,X0,X2)
| ~ s_t(X1,X0,X4)
| ~ sameside(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_481086,c_125]) ).
tcf(c_529754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,c63(X0,X1,X4))
| s_t(X1,X2,c63(X0,X1,X4))
| s_t(X1,c63(X0,X1,X4),X3)
| ( X0 = X1 )
| ~ sameside(X0,X1,X4)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_109]) ).
tcf(c_529755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,c63(X1,X0,X2))
| s_t(c63(X1,X0,X2),X4,X3)
| s_t(c63(X1,X0,X2),X3,X4)
| ( X0 = X1 )
| ( c63(X1,X0,X2) = X0 )
| ~ sameside(X1,X0,X2)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_481086,c_108]) ).
tcf(c_529756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,X3)
| s_t(X0,X3,X4)
| s_t(X0,X4,c63(X1,X0,X2))
| ( X0 = X1 )
| ( c63(X1,X0,X2) = X0 )
| ~ sameside(X1,X0,X2)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_481086,c_107]) ).
tcf(c_529757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,c63(X0,X1,X2))
| s_t(X1,c63(X0,X1,X2),X4)
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X3 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X3)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481086,c_81]) ).
tcf(c_529758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,c63(X0,X1,X4))
| s_t(X1,c63(X0,X1,X4),X3)
| ( X0 = X1 )
| ~ sameside(X0,X1,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_80]) ).
tcf(c_529759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,X4)
| s_t(X1,X4,c63(X0,X1,X2))
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481086,c_79]) ).
tcf(c_529760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,X4)
| s_t(X1,X3,c63(X0,X1,X2))
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X3 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X3)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481086,c_78]) ).
tcf(c_529761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,c63(X0,X1,X4))
| s_t(c63(X0,X1,X4),X2,X3)
| ( X0 = X1 )
| ~ sameside(X0,X1,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_77]) ).
tcf(c_529762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X4,c63(X0,X1,X2))
| s_t(X1,c63(X0,X1,X2),X3)
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481086,c_76]) ).
tcf(c_529763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X3,c63(X0,X1,X2))
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X3)
| ~ s_t(c63(X0,X1,X2),X1,X3) ),
inference(superposition,[status(thm)],[c_481086,c_75]) ).
tcf(c_529764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,c63(X0,X1,X3),X1)
| s_t(X1,X2,c63(X0,X1,X3))
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_73]) ).
tcf(c_529765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(c63(X0,X1,X2),X1,X3,X4),c63(X0,X1,X2))
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,ext(c63(X0,X1,X2),X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481086,c_480090]) ).
tcf(c_529766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,c63(X0,X1,X5),X3,X4)
| s_t(X1,ext(X2,X1,X3,X4),c63(X0,X1,X5))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481086,c_480890]) ).
tcf(c_529767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ext(X2,X1,X3,X4),c63(X0,X1,X5))
| s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X1,c63(X0,X1,X5)),X4)
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481086,c_480407]) ).
tcf(c_529768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,c63(X0,X1,X5),ext(X2,X1,X3,X4))
| s_t(X1,ext(X2,X1,X3,X4),c63(X0,X1,X5))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481086,c_480181]) ).
tcf(c_529769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,c63(X0,X1,X5))
| s_t(X1,ext(X2,X1,X3,X4),c63(X0,X1,X5))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481086,c_480111]) ).
tcf(c_529770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X1,c63(X0,X1,X5))
| s_t(X1,ins(X2,X3,X4,X1),c63(X0,X1,X5))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_481086,c_480745]) ).
tcf(c_529771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,c63(X0,X1,X5),ins(X2,X3,X4,X1))
| s_t(X1,ins(X2,X3,X4,X1),c63(X0,X1,X5))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_481086,c_480742]) ).
tcf(c_529772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ins(X2,X3,c63(X0,X1,X4),X1),c63(X0,X1,X4))
| ( X0 = X1 )
| ( c63(X0,X1,X4) = X1 )
| ~ sameside(X0,X1,X4)
| ~ le(c63(X0,X1,X4),X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,c63(X0,X1,X4),X1)) ),
inference(superposition,[status(thm)],[c_481086,c_480746]) ).
tcf(c_529773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,ext(X2,X1,X1,c63(X0,X1,X3)),c63(X0,X1,X3))
| ( X0 = X1 )
| ( ext(X2,X1,X1,c63(X0,X1,X3)) = c63(X0,X1,X3) )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,ext(X2,X1,X1,c63(X0,X1,X3))) ),
inference(superposition,[status(thm)],[c_481086,c_480982]) ).
tcf(c_529774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,ins(X1,c63(X0,X1,X2),X1,X3),c63(X0,X1,X2))
| ( X0 = X1 )
| ( ins(X1,c63(X0,X1,X2),X1,X3) = c63(X0,X1,X2) )
| ~ sameside(X0,X1,X2)
| ~ le(X1,X3,X1,c63(X0,X1,X2))
| ~ s_t(X0,X1,ins(X1,c63(X0,X1,X2),X1,X3)) ),
inference(superposition,[status(thm)],[c_481086,c_480985]) ).
tcf(c_529775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,c63(X0,X1,X5),X2,X3)
| s_t(X1,ins(X2,X3,X1,X4),c63(X0,X1,X5))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_481086,c_480893]) ).
tcf(c_529776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ins(X2,X3,X1,X4),c63(X0,X1,X5))
| s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X1,c63(X0,X1,X5)),X3)
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_481086,c_480791]) ).
tcf(c_529777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X4,c63(X0,X1,X5))
| s_t(X1,c63(X0,X1,X5),X4)
| s_t(X1,ins(X2,X3,X1,X4),c63(X0,X1,X5))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_481086,c_480737]) ).
tcf(c_529778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,c63(X0,X1,X5))
| s_t(X1,c63(X0,X1,X5),X2)
| s_t(X1,ext(X1,X2,X3,X4),c63(X0,X1,X5))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ s_t(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481086,c_480701]) ).
tcf(c_529779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,c63(X0,X1,X4))
| s_t(X1,c63(X0,X1,X4),X2)
| s_t(X1,c63(X1,X2,X3),c63(X0,X1,X4))
| ( X0 = X1 )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_481086,c_481085]) ).
tcf(c_529780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,c63(X0,ip(X1,X2,X3,X4,X5),X6),X4)
| s_t(ip(X1,X2,X3,X4,X5),X4,c63(X0,ip(X1,X2,X3,X4,X5),X6))
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X6)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_481086,c_480182]) ).
tcf(c_529781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ip(X1,X2,X3,X4,X5),c63(X0,ip(X1,X2,X3,X4,X5),X6))
| s_t(ip(X1,X2,X3,X4,X5),X4,c63(X0,ip(X1,X2,X3,X4,X5),X6))
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X6)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_481086,c_480112]) ).
tcf(c_529782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,c63(X0,ip(X1,X2,X3,X4,X5),X6),X1)
| s_t(ip(X1,X2,X3,X4,X5),X1,c63(X0,ip(X1,X2,X3,X4,X5),X6))
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X6)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_481086,c_480183]) ).
tcf(c_529783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X5),c63(X0,ip(X1,X2,X3,X4,X5),X6))
| s_t(ip(X1,X2,X3,X4,X5),X1,c63(X0,ip(X1,X2,X3,X4,X5),X6))
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X6)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_481086,c_480113]) ).
tcf(c_529784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ext(X2,c63(X0,X1,X3),X4,X5),c63(X0,X1,X3))
| ( X0 = X1 )
| ( c63(X0,X1,X3) = X1 )
| ( ext(X1,c63(X0,X1,X3),X4,X5) = ext(X2,c63(X0,X1,X3),X4,X5) )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,ext(X2,c63(X0,X1,X3),X4,X5)) ),
inference(superposition,[status(thm)],[c_481086,c_480012]) ).
tcf(c_529785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ins(X2,X3,c63(X0,X1,X4),X5),c63(X0,X1,X4))
| ( X0 = X1 )
| ( c63(X0,X1,X4) = X1 )
| ( ext(X1,c63(X0,X1,X4),X2,X3) = ins(X2,X3,c63(X0,X1,X4),X5) )
| ~ sameside(X0,X1,X4)
| ~ le(c63(X0,X1,X4),X5,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,c63(X0,X1,X4),X5)) ),
inference(superposition,[status(thm)],[c_481086,c_480795]) ).
tcf(c_529786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,crossbar(X1,X2,X3,X4,X5,X6),c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),X3,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_481086,c_480260]) ).
tcf(c_529787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7),X3)
| s_t(crossbar(X1,X2,X3,X4,X5,X6),X3,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_481086,c_480257]) ).
tcf(c_529788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,crossbar(X1,X2,X3,X4,X5,X6),c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),X5,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_481086,c_480322]) ).
tcf(c_529789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7),X5)
| s_t(crossbar(X1,X2,X3,X4,X5,X6),X5,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_481086,c_480319]) ).
tcf(c_529790,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,c63(X0,X1,X2),c63(X0,X1,X2))
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,c63(X0,X1,X2)) ),
inference(equality_factoring,[status(thm)],[c_481086]) ).
tcf(c_530791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,c63(X2,X3,X4),X1)
| ( X2 = X3 )
| ( crossbar(X2,X1,c63(X2,X3,X4),X0,X1,X5) = X1 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X2,X5,X0)
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481087,c_480316]) ).
tcf(c_530792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,c63(X0,X1,X2),X5)
| ( X0 = X1 )
| ( crossbar(X0,X5,c63(X0,X1,X2),X3,X4,c63(X0,X1,X2)) = c63(X0,X1,X2) )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X5)
| ~ s_t(X3,X4,c63(X0,X1,X2))
| ~ s_t(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_481087,c_480254]) ).
tcf(c_530793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,c63(X0,X1,X3),X2)
| ( X0 = X2 )
| ( X0 = X1 )
| ( ext(X0,X2,X2,c63(X0,X1,X3)) = c63(X0,X1,X3) )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_480013]) ).
tcf(c_530794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,c63(X0,X1,X3),X2)
| ( X0 = X2 )
| ( X0 = X1 )
| ( ext(X0,X2,c63(X0,X1,X3),X2) = c63(X0,X1,X3) )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_480011]) ).
tcf(c_530795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X1,X2,X3),X4)
| ( X1 = X2 )
| ( ip(X1,X4,c63(X1,X2,X3),X0,X1) = X1 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X1,X2,X4)
| ~ s_t(X0,X1,c63(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_481087,c_479924]) ).
tcf(c_530796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X2,X3,X4),X0)
| ( X2 = X3 )
| ( ip(X2,X0,c63(X2,X3,X4),X0,X1) = X0 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481087,c_479914]) ).
tcf(c_530797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(c63(X0,X1,X3),X0,X2)
| s_t(X0,c63(X0,X1,X3),X2)
| ( X0 = X2 )
| ( X0 = X1 )
| ( c63(X0,X1,X3) = X0 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_238]) ).
tcf(c_530798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X2,X0,c63(X0,X1,X3))
| s_t(X0,c63(X0,X1,X3),X2)
| ( X0 = xb )
| ( X0 = X2 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_237]) ).
tcf(c_530799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X2,c63(X0,X1,X3),X0)
| s_t(X0,c63(X0,X1,X3),X2)
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_225]) ).
tcf(c_530800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(c63(X0,X1,X3),X0,X2)
| s_t(X0,c63(X0,X1,X3),X2)
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_224]) ).
tcf(c_530801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X2,c63(X0,X1,X3))
| s_t(X0,c63(X0,X1,X3),X2)
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_223]) ).
tcf(c_530802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,c63(X0,X1,X2),X4)
| ( X3 = X4 )
| ( X0 = X1 )
| ~ s_r(X0,X3,X4)
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X4)
| ~ s_r(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481087,c_184]) ).
tcf(c_530803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,c63(X2,X3,X4))
| s_t(X2,c63(X2,X3,X4),X1)
| s_t(X0,X2,c63(X2,X3,X4))
| ( X2 = X3 )
| ( c63(X2,X3,X4) = X1 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481087,c_147]) ).
tcf(c_530804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X2)
| s_t(X2,c63(X2,X3,X4),X1)
| ( X2 = X3 )
| ( X1 = X2 )
| ( c63(X2,X3,X4) = X1 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X2,X3,X1)
| ~ sameside(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481087,c_145]) ).
tcf(c_530805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X3,X2,X0)
| sameside(X3,X2,c63(X0,X1,X4))
| s_t(X0,c63(X0,X1,X4),X2)
| ( X2 = X3 )
| ( X0 = X2 )
| ( X0 = X1 )
| ( c63(X0,X1,X4) = X2 )
| ~ sameside(X0,X1,X4)
| ~ s_col(X3,X2,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_143]) ).
tcf(c_530806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,c63(X0,X2,X3),X1)
| ( X0 = X2 )
| ~ sameside(X0,X2,X3)
| ~ s_t(X0,X2,X1)
| ~ sameside(X0,X1,c63(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_481087,c_133]) ).
tcf(c_530807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,X1,X0)
| s_t(X2,c63(X2,X3,X4),X1)
| ( X2 = X3 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( c63(X2,X3,X4) = X1 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481087,c_131]) ).
tcf(c_530808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X2,c63(X0,X1,X3))
| s_t(X0,c63(X0,X1,X3),X2)
| ( X2 = X4 )
| ( X0 = X2 )
| ( X0 = X1 )
| ( c63(X0,X1,X3) = X2 )
| ~ sameside(X0,X2,X4)
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_125]) ).
tcf(c_530809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,X1)
| s_t(X0,X1,X4)
| s_t(X0,c63(X0,X2,X3),X4)
| ( X0 = X2 )
| ~ sameside(X0,X2,X3)
| ~ s_t(X0,X2,X4)
| ~ s_t(X0,X1,c63(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_481087,c_109]) ).
tcf(c_530810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X3,c63(X0,X1,X4))
| s_t(X2,c63(X0,X1,X4),X3)
| s_t(X0,c63(X0,X1,X4),X2)
| ( X0 = X2 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_108]) ).
tcf(c_530811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X3,c63(X0,X1,X4))
| s_t(X0,c63(X0,X1,X4),X3)
| s_t(X0,c63(X0,X1,X4),X2)
| ( X0 = X2 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_107]) ).
tcf(c_530812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,X4)
| s_t(X1,c63(X1,X2,X3),X0)
| ( X1 = X2 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X1,X2,X0)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481087,c_81]) ).
tcf(c_530813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,X3)
| s_t(X0,c63(X0,X1,X2),X4)
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X4)
| ~ s_t(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_481087,c_80]) ).
tcf(c_530814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,c63(X2,X3,X4))
| s_t(X2,c63(X2,X3,X4),X0)
| ( X2 = X3 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481087,c_79]) ).
tcf(c_530815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X1,X2,X3),X4)
| s_t(X1,c63(X1,X2,X3),X0)
| ( X1 = X2 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X1,X2,X0)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481087,c_78]) ).
tcf(c_530816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,c63(X0,X1,X2),X3)
| s_t(X0,c63(X0,X1,X2),X4)
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X4)
| ~ s_t(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_481087,c_77]) ).
tcf(c_530817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,X1)
| s_t(X2,c63(X2,X3,X4),X0)
| ( X2 = X3 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481087,c_76]) ).
tcf(c_530818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,c63(X1,X2,X3),X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X1,X2,X0)
| ~ s_t(X0,X1,c63(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_481087,c_75]) ).
tcf(c_530819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,c63(X0,X1,X3),X2)
| s_t(c63(X0,X1,X3),X2,X0)
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_73]) ).
tcf(c_530820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X2,c63(X0,X1,X5))
| s_t(X0,c63(X0,X1,X5),ext(X0,X2,X3,X4))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ s_t(X0,X1,ext(X0,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481087,c_480204]) ).
tcf(c_530821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ext(X0,X2,X3,X4),c63(X0,X1,X5))
| s_t(X0,c63(X0,X1,X5),ext(X0,X2,X3,X4))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ s_t(X0,X1,ext(X0,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481087,c_480134]) ).
tcf(c_530822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X2,c63(X0,X1,X3))
| s_t(X0,c63(X0,X1,X3),s(X2,X0))
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,s(X2,X0)) ),
inference(superposition,[status(thm)],[c_481087,c_485960]) ).
tcf(c_530823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ins(X2,X3,X0,X4),c63(X0,X1,X5))
| s_t(X0,c63(X0,X1,X5),ins(X2,X3,X0,X4))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_481087,c_480744]) ).
tcf(c_530824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X4,c63(X0,X1,X5))
| s_t(X0,c63(X0,X1,X5),ins(X2,X3,X0,X4))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_481087,c_480741]) ).
tcf(c_530825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X0,c63(X0,X1,X5))
| s_t(X0,c63(X0,X1,X5),ext(X2,X0,X3,X4))
| ( X0 = X1 )
| ( ext(X2,X0,X3,X4) = X0 )
| ~ sameside(X0,X1,X5)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481087,c_480227]) ).
tcf(c_530826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ext(X2,X0,X3,X4),c63(X0,X1,X5))
| s_t(X0,c63(X0,X1,X5),ext(X2,X0,X3,X4))
| ( X0 = X1 )
| ( ext(X2,X0,X3,X4) = X0 )
| ~ sameside(X0,X1,X5)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481087,c_480157]) ).
tcf(c_530827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ins(X2,X3,X4,X0),c63(X0,X1,X5))
| s_t(X0,c63(X0,X1,X5),ins(X2,X3,X4,X0))
| ( X0 = X1 )
| ( ins(X2,X3,X4,X0) = X0 )
| ~ sameside(X0,X1,X5)
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_481087,c_480743]) ).
tcf(c_530828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X0,c63(X0,X1,X5))
| s_t(X0,c63(X0,X1,X5),ins(X2,X3,X4,X0))
| ( X0 = X1 )
| ( ins(X2,X3,X4,X0) = X0 )
| ~ sameside(X0,X1,X5)
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_481087,c_480740]) ).
tcf(c_530830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),c63(ip(X0,X1,X2,X3,X4),X5,X6))
| s_t(ip(X0,X1,X2,X3,X4),c63(ip(X0,X1,X2,X3,X4),X5,X6),X3)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(ip(X0,X1,X2,X3,X4),X5,X6)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_481087,c_480228]) ).
tcf(c_530831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X3,c63(ip(X0,X1,X2,X3,X4),X5,X6))
| s_t(ip(X0,X1,X2,X3,X4),c63(ip(X0,X1,X2,X3,X4),X5,X6),X3)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(ip(X0,X1,X2,X3,X4),X5,X6)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_481087,c_480158]) ).
tcf(c_530832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),c63(ip(X0,X1,X2,X3,X4),X5,X6))
| s_t(ip(X0,X1,X2,X3,X4),c63(ip(X0,X1,X2,X3,X4),X5,X6),X0)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(ip(X0,X1,X2,X3,X4),X5,X6)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_481087,c_480229]) ).
tcf(c_530833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X0,c63(ip(X0,X1,X2,X3,X4),X5,X6))
| s_t(ip(X0,X1,X2,X3,X4),c63(ip(X0,X1,X2,X3,X4),X5,X6),X0)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(ip(X0,X1,X2,X3,X4),X5,X6)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_481087,c_480159]) ).
tcf(c_530834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,c63(X0,X1,X6),ip(X2,X0,X3,X4,X5))
| s_t(ip(X2,X0,X3,X4,X5),X4,c63(X0,X1,X6))
| s_t(ip(X2,X0,X3,X4,X5),c63(X0,X1,X6),X4)
| ( X0 = X1 )
| ( ip(X2,X0,X3,X4,X5) = X0 )
| ~ sameside(X0,X1,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,ip(X2,X0,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_481087,c_480647]) ).
tcf(c_530835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X4,c63(X0,X1,X6))
| s_t(X0,c63(X0,X1,X6),X4)
| s_t(X0,c63(X0,X1,X6),ip(X2,X0,X3,X4,X5))
| ( X0 = X1 )
| ( ip(X2,X0,X3,X4,X5) = X0 )
| ~ sameside(X0,X1,X6)
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,ip(X2,X0,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_481087,c_480600]) ).
tcf(c_530836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,c63(X0,X1,X6),ip(X2,X3,X4,X5,X0))
| s_t(ip(X2,X3,X4,X5,X0),X2,c63(X0,X1,X6))
| s_t(ip(X2,X3,X4,X5,X0),c63(X0,X1,X6),X2)
| ( X0 = X1 )
| ( ip(X2,X3,X4,X5,X0) = X0 )
| ~ sameside(X0,X1,X6)
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_481087,c_480648]) ).
tcf(c_530837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X2,c63(X0,X1,X6))
| s_t(X0,c63(X0,X1,X6),X2)
| s_t(X0,c63(X0,X1,X6),ip(X2,X3,X4,X5,X0))
| ( X0 = X1 )
| ( ip(X2,X3,X4,X5,X0) = X0 )
| ~ sameside(X0,X1,X6)
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_481087,c_480601]) ).
tcf(c_530838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,c63(X0,X1,X7),crossbar(X2,X3,X4,X5,X6,X0))
| s_t(crossbar(X2,X3,X4,X5,X6,X0),X4,c63(X0,X1,X7))
| s_t(crossbar(X2,X3,X4,X5,X6,X0),c63(X0,X1,X7),X4)
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,X6,X0) = X0 )
| ~ sameside(X0,X1,X7)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X0,X5)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X0)) ),
inference(superposition,[status(thm)],[c_481087,c_480651]) ).
tcf(c_530839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X4,c63(X0,X1,X7))
| s_t(X0,c63(X0,X1,X7),X4)
| s_t(X0,c63(X0,X1,X7),crossbar(X2,X3,X4,X5,X6,X0))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,X6,X0) = X0 )
| ~ sameside(X0,X1,X7)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X0,X5)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X0)) ),
inference(superposition,[status(thm)],[c_481087,c_480604]) ).
tcf(c_530840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,X2,c63(crossbar(X0,X1,X2,X3,X4,X5),X6,X7))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),c63(crossbar(X0,X1,X2,X3,X4,X5),X6,X7),X2)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(crossbar(X0,X1,X2,X3,X4,X5),X6,X7)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_481087,c_480258]) ).
tcf(c_530841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),c63(crossbar(X0,X1,X2,X3,X4,X5),X6,X7))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),c63(crossbar(X0,X1,X2,X3,X4,X5),X6,X7),X2)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(crossbar(X0,X1,X2,X3,X4,X5),X6,X7)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_481087,c_480255]) ).
tcf(c_530842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,c63(X0,X1,X7),crossbar(X2,X0,X3,X4,X5,X6))
| s_t(crossbar(X2,X0,X3,X4,X5,X6),X5,c63(X0,X1,X7))
| s_t(crossbar(X2,X0,X3,X4,X5,X6),c63(X0,X1,X7),X5)
| ( X0 = X1 )
| ( crossbar(X2,X0,X3,X4,X5,X6) = X0 )
| ~ sameside(X0,X1,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,crossbar(X2,X0,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481087,c_480652]) ).
tcf(c_530843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X5,c63(X0,X1,X7))
| s_t(X0,c63(X0,X1,X7),X5)
| s_t(X0,c63(X0,X1,X7),crossbar(X2,X0,X3,X4,X5,X6))
| ( X0 = X1 )
| ( crossbar(X2,X0,X3,X4,X5,X6) = X0 )
| ~ sameside(X0,X1,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,crossbar(X2,X0,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481087,c_480605]) ).
tcf(c_530844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X4,c63(crossbar(X0,X1,X2,X3,X4,X5),X6,X7))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),c63(crossbar(X0,X1,X2,X3,X4,X5),X6,X7),X4)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(crossbar(X0,X1,X2,X3,X4,X5),X6,X7)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_481087,c_480320]) ).
tcf(c_530845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),c63(crossbar(X0,X1,X2,X3,X4,X5),X6,X7))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),c63(crossbar(X0,X1,X2,X3,X4,X5),X6,X7),X4)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(crossbar(X0,X1,X2,X3,X4,X5),X6,X7)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_481087,c_480317]) ).
tcf(c_530846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X0,c63(X0,X1,X2))
| s_e(X3,X3,c63(X0,X1,X2),X0)
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_481087,c_507196]) ).
tcf(c_530847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X0,c63(X0,X1,X2))
| s_e(X3,X3,X0,c63(X0,X1,X2))
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_481087,c_507140]) ).
tcf(c_530848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X0,c63(X0,X1,X2))
| s_t(X3,ext(ext(X3,X3,alpha,gamma),X3,X0,c63(X0,X1,X2)),X3)
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_481087,c_480409]) ).
tcf(c_530849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X0,c63(X0,X1,X2))
| le(X0,c63(X0,X1,X2),X3,X3)
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_481087,c_480892]) ).
tcf(c_530850,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X0,c63(X0,X1,X2),X0)
| s_t(X0,X0,c63(X0,X1,X2))
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_481087,c_486468]) ).
tcf(c_530851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,c63(X0,X1,X2),X0)
| s_t(X0,X0,c63(X0,X1,X2))
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_481087,c_480184]) ).
tcf(c_530852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X0,c63(X0,X1,X2))
| s_t(X0,X0,c63(X0,X1,X2))
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_481087,c_480114]) ).
tcf(c_530853,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X0,c63(X0,X1,X2))
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X0 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_481087,c_55]) ).
tcf(c_530854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X4,c63(X1,X2,X3))
| ( X1 = X2 )
| ( crossbar(X1,c63(X1,X2,X3),X4,X0,c63(X1,X2,X3),X5) = c63(X1,X2,X3) )
| ~ sameside(X1,X2,X3)
| ~ s_t(X1,X5,X0)
| ~ s_t(X1,X2,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481087,c_480316]) ).
tcf(c_530855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X2,c63(X0,X1,X5))
| ( X0 = X1 )
| ( crossbar(X0,c63(X0,X1,X5),X2,X3,X4,X2) = X2 )
| ~ sameside(X0,X1,X5)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_480254]) ).
tcf(c_530856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X2,c63(X0,X1,X3))
| ( X0 = X1 )
| ( c63(X0,X1,X3) = X0 )
| ( ext(X0,c63(X0,X1,X3),c63(X0,X1,X3),X2) = X2 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_480013]) ).
tcf(c_530857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X2,c63(X0,X1,X3))
| ( X0 = X1 )
| ( c63(X0,X1,X3) = X0 )
| ( ext(X0,c63(X0,X1,X3),X2,c63(X0,X1,X3)) = X2 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_480011]) ).
tcf(c_530858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,c63(X0,X1,X4))
| ( X0 = X1 )
| ( ip(X0,c63(X0,X1,X4),X2,X3,X0) = X0 )
| ~ sameside(X0,X1,X4)
| ~ s_t(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_479924]) ).
tcf(c_530859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,c63(X0,X1,X2))
| ( X0 = X1 )
| ( ip(X0,c63(X0,X1,X2),X4,c63(X0,X1,X2),X3) = c63(X0,X1,X2) )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481087,c_479914]) ).
tcf(c_530860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X2,X0,c63(X0,X1,X3))
| s_t(X0,X2,c63(X0,X1,X3))
| ( X0 = X2 )
| ( X0 = X1 )
| ( c63(X0,X1,X3) = X0 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_238]) ).
tcf(c_530861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(c63(X0,X1,X3),X0,X2)
| s_t(X0,X2,c63(X0,X1,X3))
| ( X0 = xb )
| ( X0 = X1 )
| ( c63(X0,X1,X3) = X0 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_237]) ).
tcf(c_530862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(c63(X0,X1,X3),X2,X0)
| s_t(X0,X2,c63(X0,X1,X3))
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_225]) ).
tcf(c_530863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X2,X0,c63(X0,X1,X3))
| s_t(X0,X2,c63(X0,X1,X3))
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_224]) ).
tcf(c_530864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,c63(X0,X1,X3),X2)
| s_t(X0,X2,c63(X0,X1,X3))
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_223]) ).
tcf(c_530865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,c63(X0,X2,X3))
| ( X0 = X2 )
| ( c63(X0,X2,X3) = X1 )
| ~ sameside(X0,X2,X3)
| ~ s_t(X0,X2,X4)
| ~ s_r(X4,X1,c63(X0,X2,X3))
| ~ s_r(X0,X1,c63(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_481087,c_184]) ).
tcf(c_530866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,X4)
| s_t(X0,X1,X4)
| s_t(X1,X4,c63(X1,X2,X3))
| ( X1 = X2 )
| ( c63(X1,X2,X3) = X4 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X1,X2,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481087,c_147]) ).
tcf(c_530867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,c63(X1,X2,X3),X1)
| s_t(X1,X4,c63(X1,X2,X3))
| ( X1 = X2 )
| ( c63(X1,X2,X3) = X4 )
| ( c63(X1,X2,X3) = X1 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X1,X2,X4)
| ~ sameside(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481087,c_145]) ).
tcf(c_530868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,c63(X1,X2,X3),X4)
| sameside(X0,c63(X1,X2,X3),X1)
| s_t(X1,X4,c63(X1,X2,X3))
| ( X1 = X2 )
| ( c63(X1,X2,X3) = X4 )
| ( c63(X1,X2,X3) = X1 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X1,X2,X4)
| ~ s_col(X0,c63(X1,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_481087,c_143]) ).
tcf(c_530869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X3,c63(X0,X1,X2))
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X3)
| ~ sameside(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_481087,c_133]) ).
tcf(c_530870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X1,c63(X1,X2,X3),X0)
| s_t(X1,X4,c63(X1,X2,X3))
| ( X1 = X2 )
| ( c63(X1,X2,X3) = X4 )
| ( c63(X1,X2,X3) = X1 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X1,X2,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481087,c_131]) ).
tcf(c_530871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,c63(X0,X1,X2),X4)
| s_t(X0,X4,c63(X0,X1,X2))
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X4 )
| ( c63(X0,X1,X2) = X3 )
| ( c63(X0,X1,X2) = X0 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X4)
| ~ sameside(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_481087,c_125]) ).
tcf(c_530872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X3,c63(X0,X1,X4))
| s_t(X0,X2,c63(X0,X1,X4))
| s_t(X0,c63(X0,X1,X4),X3)
| ( X0 = X1 )
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_109]) ).
tcf(c_530873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,c63(X0,X1,X2))
| s_t(c63(X0,X1,X2),X4,X3)
| s_t(c63(X0,X1,X2),X3,X4)
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X0 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X4)
| ~ s_t(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_481087,c_108]) ).
tcf(c_530874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,X3)
| s_t(X0,X3,X4)
| s_t(X0,X4,c63(X0,X1,X2))
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X0 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X4)
| ~ s_t(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_481087,c_107]) ).
tcf(c_530875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X3,c63(X0,X1,X2))
| s_t(X0,c63(X0,X1,X2),X4)
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X3 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X3)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481087,c_81]) ).
tcf(c_530876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,c63(X0,X1,X4))
| s_t(X0,c63(X0,X1,X4),X3)
| ( X0 = X1 )
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_80]) ).
tcf(c_530877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X3,X4)
| s_t(X0,X4,c63(X0,X1,X2))
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481087,c_79]) ).
tcf(c_530878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X3,X4)
| s_t(X0,X3,c63(X0,X1,X2))
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X3 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X3)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481087,c_78]) ).
tcf(c_530879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,c63(X0,X1,X4))
| s_t(c63(X0,X1,X4),X2,X3)
| ( X0 = X1 )
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_77]) ).
tcf(c_530880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,c63(X0,X1,X2))
| s_t(X0,c63(X0,X1,X2),X3)
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481087,c_76]) ).
tcf(c_530881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X3,c63(X0,X1,X2))
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X0 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X3)
| ~ s_t(c63(X0,X1,X2),X0,X3) ),
inference(superposition,[status(thm)],[c_481087,c_75]) ).
tcf(c_530882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,c63(X0,X1,X3),X0)
| s_t(X0,X2,c63(X0,X1,X3))
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481087,c_73]) ).
tcf(c_530883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ext(c63(X0,X1,X2),X0,X3,X4),c63(X0,X1,X2))
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X0 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,ext(c63(X0,X1,X2),X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481087,c_480090]) ).
tcf(c_530884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X0,c63(X0,X1,X5),X3,X4)
| s_t(X0,ext(X2,X0,X3,X4),c63(X0,X1,X5))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481087,c_480890]) ).
tcf(c_530885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(X2,X0,X3,X4),c63(X0,X1,X5))
| s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X0,c63(X0,X1,X5)),X4)
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481087,c_480407]) ).
tcf(c_530886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,c63(X0,X1,X5),ext(X2,X0,X3,X4))
| s_t(X0,ext(X2,X0,X3,X4),c63(X0,X1,X5))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481087,c_480181]) ).
tcf(c_530887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X0,c63(X0,X1,X5))
| s_t(X0,ext(X2,X0,X3,X4),c63(X0,X1,X5))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481087,c_480111]) ).
tcf(c_530888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X0,c63(X0,X1,X5))
| s_t(X0,ins(X2,X3,X4,X0),c63(X0,X1,X5))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_481087,c_480745]) ).
tcf(c_530889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,c63(X0,X1,X5),ins(X2,X3,X4,X0))
| s_t(X0,ins(X2,X3,X4,X0),c63(X0,X1,X5))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_481087,c_480742]) ).
tcf(c_530890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ins(X2,X3,c63(X0,X1,X4),X0),c63(X0,X1,X4))
| ( X0 = X1 )
| ( c63(X0,X1,X4) = X0 )
| ~ sameside(X0,X1,X4)
| ~ le(c63(X0,X1,X4),X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,c63(X0,X1,X4),X0)) ),
inference(superposition,[status(thm)],[c_481087,c_480746]) ).
tcf(c_530891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ext(X2,X0,X0,c63(X0,X1,X3)),c63(X0,X1,X3))
| ( X0 = X1 )
| ( ext(X2,X0,X0,c63(X0,X1,X3)) = c63(X0,X1,X3) )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,ext(X2,X0,X0,c63(X0,X1,X3))) ),
inference(superposition,[status(thm)],[c_481087,c_480982]) ).
tcf(c_530892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ins(X0,c63(X0,X1,X2),X0,X3),c63(X0,X1,X2))
| ( X0 = X1 )
| ( ins(X0,c63(X0,X1,X2),X0,X3) = c63(X0,X1,X2) )
| ~ sameside(X0,X1,X2)
| ~ le(X0,X3,X0,c63(X0,X1,X2))
| ~ s_t(X0,X1,ins(X0,c63(X0,X1,X2),X0,X3)) ),
inference(superposition,[status(thm)],[c_481087,c_480985]) ).
tcf(c_530893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X0,c63(X0,X1,X5),X2,X3)
| s_t(X0,ins(X2,X3,X0,X4),c63(X0,X1,X5))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_481087,c_480893]) ).
tcf(c_530894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ins(X2,X3,X0,X4),c63(X0,X1,X5))
| s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,c63(X0,X1,X5)),X3)
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_481087,c_480791]) ).
tcf(c_530895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X4,c63(X0,X1,X5))
| s_t(X0,c63(X0,X1,X5),X4)
| s_t(X0,ins(X2,X3,X0,X4),c63(X0,X1,X5))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_481087,c_480737]) ).
tcf(c_530896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X2,c63(X0,X1,X5))
| s_t(X0,c63(X0,X1,X5),X2)
| s_t(X0,ext(X0,X2,X3,X4),c63(X0,X1,X5))
| ( X0 = X1 )
| ~ sameside(X0,X1,X5)
| ~ s_t(X0,X1,ext(X0,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481087,c_480701]) ).
tcf(c_530897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,c63(X0,X1,X4))
| s_t(X0,c63(X0,X1,X4),X2)
| s_t(X0,c63(X0,X2,X3),c63(X0,X1,X4))
| ( X0 = X1 )
| ~ sameside(X0,X2,X3)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_481087,c_481085]) ).
tcf(c_530898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,c63(ip(X0,X1,X2,X3,X4),X5,X6),X3)
| s_t(ip(X0,X1,X2,X3,X4),X3,c63(ip(X0,X1,X2,X3,X4),X5,X6))
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(ip(X0,X1,X2,X3,X4),X5,X6)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_481087,c_480182]) ).
tcf(c_530899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),c63(ip(X0,X1,X2,X3,X4),X5,X6))
| s_t(ip(X0,X1,X2,X3,X4),X3,c63(ip(X0,X1,X2,X3,X4),X5,X6))
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(ip(X0,X1,X2,X3,X4),X5,X6)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_481087,c_480112]) ).
tcf(c_530900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,c63(ip(X0,X1,X2,X3,X4),X5,X6),X0)
| s_t(ip(X0,X1,X2,X3,X4),X0,c63(ip(X0,X1,X2,X3,X4),X5,X6))
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(ip(X0,X1,X2,X3,X4),X5,X6)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_481087,c_480183]) ).
tcf(c_530901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),c63(ip(X0,X1,X2,X3,X4),X5,X6))
| s_t(ip(X0,X1,X2,X3,X4),X0,c63(ip(X0,X1,X2,X3,X4),X5,X6))
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(ip(X0,X1,X2,X3,X4),X5,X6)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_481087,c_480113]) ).
tcf(c_530902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(X2,c63(X0,X1,X3),X4,X5),c63(X0,X1,X3))
| ( X0 = X1 )
| ( c63(X0,X1,X3) = X0 )
| ( ext(X0,c63(X0,X1,X3),X4,X5) = ext(X2,c63(X0,X1,X3),X4,X5) )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,ext(X2,c63(X0,X1,X3),X4,X5)) ),
inference(superposition,[status(thm)],[c_481087,c_480012]) ).
tcf(c_530903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ins(X2,X3,c63(X0,X1,X4),X5),c63(X0,X1,X4))
| ( X0 = X1 )
| ( c63(X0,X1,X4) = X0 )
| ( ext(X0,c63(X0,X1,X4),X2,X3) = ins(X2,X3,c63(X0,X1,X4),X5) )
| ~ sameside(X0,X1,X4)
| ~ le(c63(X0,X1,X4),X5,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,c63(X0,X1,X4),X5)) ),
inference(superposition,[status(thm)],[c_481087,c_480795]) ).
tcf(c_530904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),c63(crossbar(X0,X1,X2,X3,X4,X5),X6,X7))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,c63(crossbar(X0,X1,X2,X3,X4,X5),X6,X7))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(crossbar(X0,X1,X2,X3,X4,X5),X6,X7)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_481087,c_480260]) ).
tcf(c_530905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,c63(crossbar(X0,X1,X2,X3,X4,X5),X6,X7),X2)
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,c63(crossbar(X0,X1,X2,X3,X4,X5),X6,X7))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(crossbar(X0,X1,X2,X3,X4,X5),X6,X7)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_481087,c_480257]) ).
tcf(c_530906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),c63(crossbar(X0,X1,X2,X3,X4,X5),X6,X7))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,c63(crossbar(X0,X1,X2,X3,X4,X5),X6,X7))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(crossbar(X0,X1,X2,X3,X4,X5),X6,X7)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_481087,c_480322]) ).
tcf(c_530907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,c63(crossbar(X0,X1,X2,X3,X4,X5),X6,X7),X4)
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,c63(crossbar(X0,X1,X2,X3,X4,X5),X6,X7))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(crossbar(X0,X1,X2,X3,X4,X5),X6,X7)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_481087,c_480319]) ).
tcf(c_530908,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,c63(X0,X1,X2),c63(X0,X1,X2))
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,c63(X0,X1,X2)) ),
inference(equality_factoring,[status(thm)],[c_481087]) ).
tcf(c_531999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,X3)
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_481088,c_128]) ).
tcf(c_532009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X1,ext(X1,c63(X0,X1,X2),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_531999]) ).
tcf(c_532011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,ins(X3,X4,X0,c63(X1,X0,X2)))
| ~ sameside(X1,X0,X2)
| ~ le(X0,c63(X1,X0,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_110,c_531999]) ).
tcf(c_532012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,c63(X0,c63(X1,X0,X2),X3))
| ~ sameside(X1,X0,X2)
| ~ sameside(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_129,c_531999]) ).
tcf(c_532013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X2,c63(X0,c63(X1,X2,X3),X2))
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_130,c_531999]) ).
tcf(c_532014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,insert5(X0,X1,X5,X2,c63(X3,X2,X4)))
| ~ sameside(X3,X2,X4)
| ~ s_t(X0,X1,X5)
| ~ s_e(X0,X1,X2,c63(X3,X2,X4)) ),
inference(superposition,[status(thm)],[c_505149,c_531999]) ).
tcf(c_532015,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,s(c63(X0,X1,X2),X1))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_531999]) ).
tcf(c_532016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,ins(X4,X5,X0,X1))
| s_t(X1,ins(X4,X5,X0,X1),c63(X2,X1,X3))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480738,c_531999]) ).
tcf(c_532017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X0,ins(X4,X5,X0,X1))
| s_t(X0,ins(X4,X5,X0,X1),c63(X2,X0,X3))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480739,c_531999]) ).
tcf(c_532018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X0,ip(X4,X0,X5,X3,X6))
| s_t(X0,ip(X4,X0,X5,X3,X6),c63(X1,X0,X2))
| ~ sameside(X1,X0,X2)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X6,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480702,c_531999]) ).
tcf(c_532019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X0,ip(X3,X4,X5,X6,X0))
| s_t(X0,ip(X3,X4,X5,X6,X0),c63(X1,X0,X2))
| ~ sameside(X1,X0,X2)
| ~ s_t(X6,X0,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480703,c_531999]) ).
tcf(c_532020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X0,ext(X0,X1,X4,X5))
| s_t(X0,ext(X0,X1,X4,X5),c63(X2,X0,X3))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480599,c_531999]) ).
tcf(c_532022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,c63(X0,X1,X4))
| s_t(X0,c63(X0,X1,X4),c63(X2,X0,X3))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481087,c_531999]) ).
tcf(c_532023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,ext(X0,X1,X4,X5))
| s_t(X1,ext(X0,X1,X4,X5),c63(X2,X1,X3))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480646,c_531999]) ).
tcf(c_532025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,c63(X0,X1,X4))
| s_t(X1,c63(X0,X1,X4),c63(X2,X1,X3))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481086,c_531999]) ).
tcf(c_532026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,ins(X4,X5,X0,c63(X1,X2,X3)))
| ( c63(X1,X2,X3) = X2 )
| ( c63(X1,X2,X3) = X0 )
| ( ins(X4,X5,X0,c63(X1,X2,X3)) = c63(X1,X2,X3) )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X2)
| ~ le(X0,c63(X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481026,c_531999]) ).
tcf(c_532027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,c63(X0,c63(X1,X2,X3),X4))
| ( c63(X1,X2,X3) = X2 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X4)
| ~ sameside(X0,c63(X1,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_528230,c_531999]) ).
tcf(c_532028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X0,crossbar(X4,X5,X3,X6,X7,X0))
| s_t(X0,crossbar(X4,X5,X3,X6,X7,X0),c63(X1,X0,X2))
| ~ sameside(X1,X0,X2)
| ~ s_t(X6,X7,X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480706,c_531999]) ).
tcf(c_532029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X0,crossbar(X4,X0,X5,X7,X3,X6))
| s_t(X0,crossbar(X4,X0,X5,X7,X3,X6),c63(X1,X0,X2))
| ~ sameside(X1,X0,X2)
| ~ s_t(X7,X3,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480707,c_531999]) ).
tcf(c_532030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,ext(X0,c63(X1,X2,X3),X4,X5))
| ( c63(X1,X2,X3) = X2 )
| ( c63(X1,X2,X3) = X0 )
| ( ext(X0,c63(X1,X2,X3),X4,X5) = c63(X1,X2,X3) )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_481019,c_531999]) ).
tcf(c_532031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X1,ext(X1,s(c63(X0,X1,X2),X1),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_531999]) ).
tcf(c_532032,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,s(s(c63(X0,X1,X2),X1),X1))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_531999]) ).
tcf(c_532033,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,s(s(s(c63(X0,X1,X2),X1),X1),X1))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_531999]) ).
tcf(c_532034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X1,s(ext(X1,c63(X0,X1,X2),X3,X4),X1))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_531999]) ).
tcf(c_532219,plain,
! [X0: $i] : s_col(X0,X0,s(X0,X0)),
inference(superposition,[status(thm)],[c_161,c_519188]) ).
tcf(c_532224,plain,
! [X0: $i,X1: $i] :
( s_t(X1,s(X0,s(X1,X0)),s(X1,X0))
| s_t(s(X1,X0),X1,s(X0,s(X1,X0)))
| s_t(s(X0,s(X1,X0)),s(X1,X0),X1) ),
inference(superposition,[status(thm)],[c_519188,c_222]) ).
tcf(c_532225,plain,
! [X0: $i,X1: $i] :
( ( s(X1,s(X0,X1)) = X0 )
| ( s(X1,s(X0,X1)) = s(X0,X1) )
| ~ s_r(X0,s(X1,s(X0,X1)),s(X0,X1)) ),
inference(superposition,[status(thm)],[c_519188,c_187]) ).
tcf(c_532226,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(s(X1,X0),X1,X2)
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_r(s(X0,s(X1,X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_519188,c_181]) ).
tcf(c_532227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( s(X0,X1) = X2 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,s(X0,X1))
| ~ s_col(X0,s(X1,s(X0,X1)),X3)
| ~ s_col(X0,s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_519188,c_152]) ).
tcf(c_532228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(X0,X1),X2,X3)
| ( s(X0,X1) = X2 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(X0,s(X1,s(X0,X1)),X3)
| ~ s_col(X0,s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_519188,c_151]) ).
tcf(c_532229,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,X1),X2)
| ( s(X0,X1) = X0 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(X0,s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_519188,c_148]) ).
tcf(c_532230,plain,
! [X0: $i,X1: $i] :
( sameside(X0,s(X1,s(X0,X1)),s(X0,X1))
| s_t(X0,s(X1,s(X0,X1)),s(X0,X1)) ),
inference(superposition,[status(thm)],[c_519188,c_134]) ).
tcf(c_532236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,s(X1,s(X0,X1)),X2,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( s(X0,X1) = X2 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(X4,X5,X3)
| ~ s_col(X4,X5,X2)
| ~ s_r(s(X0,X1),X2,X3)
| ~ s_col(X0,s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_519188,c_200]) ).
tcf(c_532272,plain,
! [X0: $i] : s_col(X0,s(X0,X0),X0),
inference(superposition,[status(thm)],[c_161,c_519474]) ).
tcf(c_532278,plain,
! [X0: $i,X1: $i] :
( ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = s(X1,X0) )
| ~ s_r(s(X0,s(X1,X0)),s(X1,X0),X1) ),
inference(superposition,[status(thm)],[c_519474,c_187]) ).
tcf(c_532279,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X0,s(X1,s(X0,X1)),X2)
| ( s(X1,s(X0,X1)) = s(X0,X1) )
| ~ s_r(s(X0,X1),s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_519474,c_181]) ).
tcf(c_532280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X1 = X2 )
| ( s(X0,s(X1,X0)) = s(X1,X0) )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X1)
| ~ s_col(s(X0,s(X1,X0)),s(X1,X0),X3)
| ~ s_col(s(X0,s(X1,X0)),s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_519474,c_152]) ).
tcf(c_532281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| ( X1 = X2 )
| ( s(X0,s(X1,X0)) = s(X1,X0) )
| ~ s_col(s(X0,s(X1,X0)),s(X1,X0),X3)
| ~ s_col(s(X0,s(X1,X0)),s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_519474,c_151]) ).
tcf(c_532282,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X1,X2)
| ( s(X0,s(X1,X0)) = X1 )
| ( s(X0,s(X1,X0)) = s(X1,X0) )
| ~ s_col(s(X0,s(X1,X0)),s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_519474,c_148]) ).
tcf(c_532283,plain,
! [X0: $i,X1: $i] :
( sameside(s(X0,s(X1,X0)),s(X1,X0),X1)
| s_t(s(X0,s(X1,X0)),s(X1,X0),X1) ),
inference(superposition,[status(thm)],[c_519474,c_134]) ).
tcf(c_532289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(s(X0,s(X1,X0)),s(X1,X0),X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X1 = X2 )
| ( s(X0,s(X1,X0)) = s(X1,X0) )
| ~ s_r(X1,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(s(X0,s(X1,X0)),s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_519474,c_200]) ).
tcf(c_532403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X1,ext(X0,c63(X0,X1,X2),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_481089]) ).
tcf(c_532405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X1,ins(X3,X4,X0,c63(X0,X1,X2)))
| ~ sameside(X0,X1,X2)
| ~ le(X0,c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_110,c_481089]) ).
tcf(c_532406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,c63(X0,c63(X0,X1,X2),X3))
| ~ sameside(X0,X1,X2)
| ~ sameside(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_129,c_481089]) ).
tcf(c_532407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X2,c63(X0,c63(X1,X2,X3),X1))
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_130,c_481089]) ).
tcf(c_532408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X3,insert5(X0,X1,X5,X2,c63(X2,X3,X4)))
| ~ sameside(X2,X3,X4)
| ~ s_t(X0,X1,X5)
| ~ s_e(X0,X1,X2,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_505149,c_481089]) ).
tcf(c_532409,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,s(c63(X0,X1,X2),X0))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_481089]) ).
tcf(c_532410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,ins(X4,X5,X0,X1))
| s_t(X1,ins(X4,X5,X0,X1),c63(X1,X2,X3))
| ( X0 = X1 )
| ~ sameside(X1,X2,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_480738,c_481089]) ).
tcf(c_532411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X2,ins(X4,X5,X0,X1))
| s_t(X0,ins(X4,X5,X0,X1),c63(X0,X2,X3))
| ( X0 = X1 )
| ~ sameside(X0,X2,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_480739,c_481089]) ).
tcf(c_532412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X1,ip(X4,X0,X5,X3,X6))
| s_t(X0,ip(X4,X0,X5,X3,X6),c63(X0,X1,X2))
| ~ sameside(X0,X1,X2)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X6,X5)
| ~ s_t(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_480702,c_481089]) ).
tcf(c_532413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X1,ip(X3,X4,X5,X6,X0))
| s_t(X0,ip(X3,X4,X5,X6,X0),c63(X0,X1,X2))
| ~ sameside(X0,X1,X2)
| ~ s_t(X6,X0,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_480703,c_481089]) ).
tcf(c_532414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X2,ext(X0,X1,X4,X5))
| s_t(X0,ext(X0,X1,X4,X5),c63(X0,X2,X3))
| ( X0 = X1 )
| ~ sameside(X0,X2,X3)
| ~ s_t(X0,X1,c63(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_480599,c_481089]) ).
tcf(c_532416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,c63(X0,X1,X4))
| s_t(X0,c63(X0,X1,X4),c63(X0,X2,X3))
| ( X0 = X1 )
| ~ sameside(X0,X2,X3)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_481087,c_481089]) ).
tcf(c_532417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,ext(X0,X1,X4,X5))
| s_t(X1,ext(X0,X1,X4,X5),c63(X1,X2,X3))
| ( X0 = X1 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X0,X1,c63(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_480646,c_481089]) ).
tcf(c_532419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,c63(X0,X1,X4))
| s_t(X1,c63(X0,X1,X4),c63(X1,X2,X3))
| ( X0 = X1 )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_481086,c_481089]) ).
tcf(c_532420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,ins(X4,X5,X0,c63(X1,X2,X3)))
| ( c63(X1,X2,X3) = X1 )
| ( c63(X1,X2,X3) = X0 )
| ( ins(X4,X5,X0,c63(X1,X2,X3)) = c63(X1,X2,X3) )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X1)
| ~ le(X0,c63(X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481026,c_481089]) ).
tcf(c_532421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,c63(X0,c63(X1,X2,X3),X4))
| ( c63(X1,X2,X3) = X1 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X4)
| ~ sameside(X0,c63(X1,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_528230,c_481089]) ).
tcf(c_532422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X1,crossbar(X4,X5,X3,X6,X7,X0))
| s_t(X0,crossbar(X4,X5,X3,X6,X7,X0),c63(X0,X1,X2))
| ~ sameside(X0,X1,X2)
| ~ s_t(X6,X7,X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_480706,c_481089]) ).
tcf(c_532423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X1,crossbar(X4,X0,X5,X7,X3,X6))
| s_t(X0,crossbar(X4,X0,X5,X7,X3,X6),c63(X0,X1,X2))
| ~ sameside(X0,X1,X2)
| ~ s_t(X7,X3,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_480707,c_481089]) ).
tcf(c_532424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,ext(X0,c63(X1,X2,X3),X4,X5))
| ( c63(X1,X2,X3) = X1 )
| ( c63(X1,X2,X3) = X0 )
| ( ext(X0,c63(X1,X2,X3),X4,X5) = c63(X1,X2,X3) )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_481019,c_481089]) ).
tcf(c_532425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X1,ext(X0,s(c63(X0,X1,X2),X0),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_481089]) ).
tcf(c_532426,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,s(s(c63(X0,X1,X2),X0),X0))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_481089]) ).
tcf(c_532427,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,s(s(s(c63(X0,X1,X2),X0),X0),X0))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_481089]) ).
tcf(c_532428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X1,s(ext(X0,c63(X0,X1,X2),X3,X4),X0))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_481089]) ).
tcf(c_532539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ip(X5,X1,X4,c63(X0,X1,X2),X3),c63(X0,X1,X2))
| ~ sameside(X0,X1,X2)
| ~ s_t(X5,X1,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_56,c_481090]) ).
tcf(c_532540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ip(c63(X0,X1,X2),X3,X4,X5,X1),c63(X0,X1,X2))
| ~ sameside(X0,X1,X2)
| ~ s_t(X5,X1,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_57,c_481090]) ).
tcf(c_532541,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,c63(X0,X1,X2),c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_481090]) ).
tcf(c_532543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,crossbar(X0,X1,c63(X2,X3,X4),X5,X6,X3),c63(X2,X3,X4))
| ~ sameside(X2,X3,X4)
| ~ s_t(X0,X3,X5)
| ~ s_t(X5,X6,c63(X2,X3,X4))
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_87,c_481090]) ).
tcf(c_532544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,crossbar(X5,X2,X4,X0,c63(X1,X2,X3),X6),c63(X1,X2,X3))
| ~ sameside(X1,X2,X3)
| ~ s_t(X5,X6,X0)
| ~ s_t(X5,X2,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_88,c_481090]) ).
tcf(c_532547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,ext(ext(c63(X3,X2,X4),X2,alpha,gamma),X2,X0,X1),c63(X3,X2,X4))
| ~ sameside(X3,X2,X4)
| ~ le(X0,X1,X2,c63(X3,X2,X4)) ),
inference(superposition,[status(thm)],[c_231,c_481090]) ).
tcf(c_532548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ins(X4,X5,X0,X1),c63(X2,X0,X3))
| s_t(X0,c63(X2,X0,X3),ins(X4,X5,X0,X1))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480739,c_481090]) ).
tcf(c_532549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ins(X4,X5,X0,X1),c63(X2,X1,X3))
| s_t(X1,c63(X2,X1,X3),ins(X4,X5,X0,X1))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480738,c_481090]) ).
tcf(c_532550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ip(X4,X0,X5,X3,X6),c63(X1,X0,X2))
| s_t(X0,c63(X1,X0,X2),ip(X4,X0,X5,X3,X6))
| ~ sameside(X1,X0,X2)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X6,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480702,c_481090]) ).
tcf(c_532551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ip(X4,X0,X5,X1,X6),c63(X2,X0,X3))
| ~ sameside(X2,X0,X3)
| ~ s_t(X4,X0,X5)
| ~ s_t(X1,X6,X5)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480205,c_481090]) ).
tcf(c_532552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X1,c63(X2,ip(X3,X0,X4,X1,X5),X6))
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X5,X4)
| ~ sameside(X2,ip(X3,X0,X4,X1,X5),X6)
| ~ s_t(X0,X1,c63(X2,ip(X3,X0,X4,X1,X5),X6)) ),
inference(superposition,[status(thm)],[c_480135,c_481090]) ).
tcf(c_532553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ip(X0,c63(X1,X2,X3),X4,X2,X5),c63(X1,X2,X3))
| ~ sameside(X1,X2,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480074,c_481090]) ).
tcf(c_532554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ip(X3,X4,X5,X6,X0),c63(X1,X0,X2))
| s_t(X0,c63(X1,X0,X2),ip(X3,X4,X5,X6,X0))
| ~ sameside(X1,X0,X2)
| ~ s_t(X6,X0,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480703,c_481090]) ).
tcf(c_532555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ip(X1,X4,X5,X6,X0),c63(X2,X0,X3))
| ~ sameside(X2,X0,X3)
| ~ s_t(X6,X0,X5)
| ~ s_t(X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480206,c_481090]) ).
tcf(c_532556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X1,c63(X2,ip(X1,X3,X4,X5,X0),X6))
| ~ s_t(X5,X0,X4)
| ~ s_t(X1,X3,X4)
| ~ sameside(X2,ip(X1,X3,X4,X5,X0),X6)
| ~ s_t(X0,X1,c63(X2,ip(X1,X3,X4,X5,X0),X6)) ),
inference(superposition,[status(thm)],[c_480136,c_481090]) ).
tcf(c_532557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ip(X2,X5,X4,X0,c63(X1,X2,X3)),c63(X1,X2,X3))
| ~ sameside(X1,X2,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480075,c_481090]) ).
tcf(c_532558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ext(X0,X1,X4,X5),c63(X2,X0,X3))
| s_t(X0,c63(X2,X0,X3),ext(X0,X1,X4,X5))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480599,c_481090]) ).
tcf(c_532559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X0,X1,X4),c63(X2,X0,X3))
| s_t(X0,c63(X2,X0,X3),c63(X0,X1,X4))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481087,c_481090]) ).
tcf(c_532561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ext(X0,X1,X4,X5),c63(X2,X1,X3))
| s_t(X1,c63(X2,X1,X3),ext(X0,X1,X4,X5))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480646,c_481090]) ).
tcf(c_532562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X0,X1,X4),c63(X2,X1,X3))
| s_t(X1,c63(X2,X1,X3),c63(X0,X1,X4))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481086,c_481090]) ).
tcf(c_532563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,c63(X0,X1,X3),X2)
| s_t(X0,X2,c63(X0,X1,X3))
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_481090]) ).
tcf(c_532565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ext(ext(c63(X0,X1,X2),X1,alpha,gamma),X1,c63(X0,X1,X2),X3),c63(X0,X1,X2))
| ~ sameside(X0,X1,X2)
| ~ s_t(c63(X0,X1,X2),X3,X1) ),
inference(superposition,[status(thm)],[c_480406,c_481090]) ).
tcf(c_532566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,ext(ext(c63(X2,X0,X3),X0,alpha,gamma),X0,X0,X1),c63(X2,X0,X3))
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480408,c_481090]) ).
tcf(c_532567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,crossbar(X4,X5,X3,X6,X7,X0),c63(X1,X0,X2))
| s_t(X0,c63(X1,X0,X2),crossbar(X4,X5,X3,X6,X7,X0))
| ~ sameside(X1,X0,X2)
| ~ s_t(X6,X7,X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480706,c_481090]) ).
tcf(c_532568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,crossbar(X4,X5,X1,X6,X7,X0),c63(X2,X0,X3))
| ~ sameside(X2,X0,X3)
| ~ s_t(X6,X7,X1)
| ~ s_t(X4,X5,X1)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480256,c_481090]) ).
tcf(c_532569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X1,c63(X2,crossbar(X3,X4,X1,X5,X6,X0),X7))
| ~ s_t(X5,X6,X1)
| ~ s_t(X3,X4,X1)
| ~ s_t(X3,X0,X5)
| ~ sameside(X2,crossbar(X3,X4,X1,X5,X6,X0),X7)
| ~ s_t(X0,X1,c63(X2,crossbar(X3,X4,X1,X5,X6,X0),X7)) ),
inference(superposition,[status(thm)],[c_480259,c_481090]) ).
tcf(c_532570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,crossbar(X0,X5,X2,X4,X6,c63(X1,X2,X3)),c63(X1,X2,X3))
| ~ sameside(X1,X2,X3)
| ~ s_t(X4,X6,X2)
| ~ s_t(X0,X5,X2)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480262,c_481090]) ).
tcf(c_532571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,crossbar(X4,X0,X5,X7,X1,X6),c63(X2,X0,X3))
| ~ sameside(X2,X0,X3)
| ~ s_t(X7,X1,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480318,c_481090]) ).
tcf(c_532572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X1,c63(X2,crossbar(X3,X0,X4,X5,X1,X6),X7))
| ~ s_t(X5,X1,X4)
| ~ s_t(X3,X6,X5)
| ~ s_t(X3,X0,X4)
| ~ sameside(X2,crossbar(X3,X0,X4,X5,X1,X6),X7)
| ~ s_t(X0,X1,c63(X2,crossbar(X3,X0,X4,X5,X1,X6),X7)) ),
inference(superposition,[status(thm)],[c_480321,c_481090]) ).
tcf(c_532573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,crossbar(X4,X0,X5,X7,X3,X6),c63(X1,X0,X2))
| s_t(X0,c63(X1,X0,X2),crossbar(X4,X0,X5,X7,X3,X6))
| ~ sameside(X1,X0,X2)
| ~ s_t(X7,X3,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480707,c_481090]) ).
tcf(c_532574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,crossbar(X0,c63(X1,X2,X3),X4,X6,X2,X5),c63(X1,X2,X3))
| ~ sameside(X1,X2,X3)
| ~ s_t(X6,X2,X4)
| ~ s_t(X0,X5,X6)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480324,c_481090]) ).
tcf(c_532776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,c63(X1,X0,X2),X3)
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_481091,c_128]) ).
tcf(c_532786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,c63(X0,X1,X2),ext(X1,c63(X0,X1,X2),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_532776]) ).
tcf(c_532788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X1,X0,X2),ins(X3,X4,X0,c63(X1,X0,X2)))
| ~ sameside(X1,X0,X2)
| ~ le(X0,c63(X1,X0,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_110,c_532776]) ).
tcf(c_532789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,c63(X1,X0,X2),c63(X0,c63(X1,X0,X2),X3))
| ~ sameside(X1,X0,X2)
| ~ sameside(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_129,c_532776]) ).
tcf(c_532790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,c63(X1,X2,X3),c63(X0,c63(X1,X2,X3),X2))
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_130,c_532776]) ).
tcf(c_532791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,c63(X3,X2,X4),insert5(X0,X1,X5,X2,c63(X3,X2,X4)))
| ~ sameside(X3,X2,X4)
| ~ s_t(X0,X1,X5)
| ~ s_e(X0,X1,X2,c63(X3,X2,X4)) ),
inference(superposition,[status(thm)],[c_505149,c_532776]) ).
tcf(c_532792,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,c63(X0,X1,X2),s(c63(X0,X1,X2),X1))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_532776]) ).
tcf(c_532793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,c63(X2,X1,X3),ins(X4,X5,X0,X1))
| s_t(X1,ins(X4,X5,X0,X1),c63(X2,X1,X3))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480738,c_532776]) ).
tcf(c_532794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,c63(X2,X0,X3),ins(X4,X5,X0,X1))
| s_t(X0,ins(X4,X5,X0,X1),c63(X2,X0,X3))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480739,c_532776]) ).
tcf(c_532795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,c63(X1,X0,X2),ip(X4,X0,X5,X3,X6))
| s_t(X0,ip(X4,X0,X5,X3,X6),c63(X1,X0,X2))
| ~ sameside(X1,X0,X2)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X6,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480702,c_532776]) ).
tcf(c_532796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,c63(X1,X0,X2),ip(X3,X4,X5,X6,X0))
| s_t(X0,ip(X3,X4,X5,X6,X0),c63(X1,X0,X2))
| ~ sameside(X1,X0,X2)
| ~ s_t(X6,X0,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480703,c_532776]) ).
tcf(c_532797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,c63(X2,X0,X3),ext(X0,X1,X4,X5))
| s_t(X0,ext(X0,X1,X4,X5),c63(X2,X0,X3))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480599,c_532776]) ).
tcf(c_532799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X2,X0,X3),c63(X0,X1,X4))
| s_t(X0,c63(X0,X1,X4),c63(X2,X0,X3))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481087,c_532776]) ).
tcf(c_532800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,c63(X2,X1,X3),ext(X0,X1,X4,X5))
| s_t(X1,ext(X0,X1,X4,X5),c63(X2,X1,X3))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480646,c_532776]) ).
tcf(c_532801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X2,c63(X0,X1,X3))
| s_t(X0,c63(X0,X1,X3),X2)
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_532776]) ).
tcf(c_532802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X2,X1,X3),c63(X0,X1,X4))
| s_t(X1,c63(X0,X1,X4),c63(X2,X1,X3))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481086,c_532776]) ).
tcf(c_532803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,c63(X1,X2,X3),ins(X4,X5,X0,c63(X1,X2,X3)))
| ( c63(X1,X2,X3) = X2 )
| ( c63(X1,X2,X3) = X0 )
| ( ins(X4,X5,X0,c63(X1,X2,X3)) = c63(X1,X2,X3) )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X2)
| ~ le(X0,c63(X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481026,c_532776]) ).
tcf(c_532804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X1,X2,X3),c63(X0,c63(X1,X2,X3),X4))
| ( c63(X1,X2,X3) = X2 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X4)
| ~ sameside(X0,c63(X1,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_528230,c_532776]) ).
tcf(c_532805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,c63(X1,X0,X2),crossbar(X4,X5,X3,X6,X7,X0))
| s_t(X0,crossbar(X4,X5,X3,X6,X7,X0),c63(X1,X0,X2))
| ~ sameside(X1,X0,X2)
| ~ s_t(X6,X7,X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480706,c_532776]) ).
tcf(c_532806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,c63(X1,X0,X2),crossbar(X4,X0,X5,X7,X3,X6))
| s_t(X0,crossbar(X4,X0,X5,X7,X3,X6),c63(X1,X0,X2))
| ~ sameside(X1,X0,X2)
| ~ s_t(X7,X3,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480707,c_532776]) ).
tcf(c_532807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,c63(X1,X2,X3),ext(X0,c63(X1,X2,X3),X4,X5))
| ( c63(X1,X2,X3) = X2 )
| ( c63(X1,X2,X3) = X0 )
| ( ext(X0,c63(X1,X2,X3),X4,X5) = c63(X1,X2,X3) )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_481019,c_532776]) ).
tcf(c_532808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,c63(X0,X1,X2),ext(X1,s(c63(X0,X1,X2),X1),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_532776]) ).
tcf(c_532809,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,c63(X0,X1,X2),s(s(c63(X0,X1,X2),X1),X1))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_532776]) ).
tcf(c_532810,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,c63(X0,X1,X2),s(s(s(c63(X0,X1,X2),X1),X1),X1))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_532776]) ).
tcf(c_532811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,c63(X0,X1,X2),s(ext(X1,c63(X0,X1,X2),X3,X4),X1))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_532776]) ).
tcf(c_533007,plain,
! [X0: $i] : s_col(s(X0,X0),X0,X0),
inference(superposition,[status(thm)],[c_161,c_520000]) ).
tcf(c_533011,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X0 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_r(s(X0,X1),X0,s(X1,s(X0,X1))) ),
inference(superposition,[status(thm)],[c_520000,c_187]) ).
tcf(c_533012,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(s(X1,s(X0,X1)),s(X0,X1),X2)
| ( s(X0,X1) = X0 )
| ~ s_r(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_520000,c_181]) ).
tcf(c_533013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( X0 = X1 )
| ( s(X3,X2) = X3 )
| ( s(X2,s(X3,X2)) = X4 )
| ~ s_col(X0,X1,X4)
| ~ s_col(s(X3,X2),X3,X5)
| ~ s_col(s(X3,X2),X3,X4)
| ~ s_col(X0,X1,s(X2,s(X3,X2))) ),
inference(superposition,[status(thm)],[c_520000,c_152]) ).
tcf(c_533014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(X1,s(X0,X1)),X2,X3)
| ( s(X0,X1) = X0 )
| ( s(X1,s(X0,X1)) = X2 )
| ~ s_col(s(X0,X1),X0,X3)
| ~ s_col(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_520000,c_151]) ).
tcf(c_533015,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),s(X1,s(X0,X1)),X2)
| ( s(X0,X1) = X0 )
| ( s(X1,s(X0,X1)) = s(X0,X1) )
| ~ s_col(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_520000,c_148]) ).
tcf(c_533022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(s(X1,X0),X1,X2,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = X2 )
| ~ s_col(X4,X5,X3)
| ~ s_col(X4,X5,X2)
| ~ s_col(s(X1,X0),X1,X2)
| ~ s_r(s(X0,s(X1,X0)),X2,X3) ),
inference(superposition,[status(thm)],[c_520000,c_200]) ).
tcf(c_533222,plain,
! [X0: $i] : s_t(X0,X0,s(X0,X0)),
inference(superposition,[status(thm)],[c_161,c_520047]) ).
tcf(c_533227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(s(X0,s(X1,X0)),X1,s(X1,X0),X3,X1,X2) = X1 )
| ~ s_t(X3,X1,s(X1,X0))
| ~ s_t(s(X0,s(X1,X0)),X2,X3) ),
inference(superposition,[status(thm)],[c_520047,c_480316]) ).
tcf(c_533228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(s(X0,s(X1,X0)),X1,s(X1,X0),X2,X3,s(X1,X0)) = s(X1,X0) )
| ~ s_t(X2,X3,s(X1,X0))
| ~ s_t(s(X0,s(X1,X0)),s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_520047,c_480254]) ).
tcf(c_533229,plain,
! [X0: $i,X1: $i] :
( ( s(X0,s(X1,X0)) = X1 )
| ( ext(s(X0,s(X1,X0)),X1,X1,s(X1,X0)) = s(X1,X0) ) ),
inference(superposition,[status(thm)],[c_520047,c_480013]) ).
tcf(c_533230,plain,
! [X0: $i,X1: $i] :
( ( s(X0,s(X1,X0)) = X1 )
| ( ext(s(X0,s(X1,X0)),X1,s(X1,X0),X1) = s(X1,X0) ) ),
inference(superposition,[status(thm)],[c_520047,c_480011]) ).
tcf(c_533231,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(s(X1,s(X2,X1)),X2,s(X2,X1),X0,s(X1,s(X2,X1))) = s(X1,s(X2,X1)) )
| ~ s_t(X0,s(X1,s(X2,X1)),s(X2,X1)) ),
inference(superposition,[status(thm)],[c_520047,c_479924]) ).
tcf(c_533232,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(s(X2,s(X0,X2)),X0,s(X0,X2),X0,X1) = X0 )
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_520047,c_479914]) ).
tcf(c_533233,plain,
! [X0: $i,X1: $i] :
( sameside(s(X1,X0),s(X0,s(X1,X0)),X1)
| ( s(X0,s(X1,X0)) = X1 )
| ( s(X0,s(X1,X0)) = s(X1,X0) ) ),
inference(superposition,[status(thm)],[c_520047,c_238]) ).
tcf(c_533234,plain,
! [X0: $i,X1: $i] :
( sameside(X1,s(X0,s(X1,X0)),s(X1,X0))
| ( s(X0,s(X1,X0)) = xb )
| ( s(X0,s(X1,X0)) = X1 ) ),
inference(superposition,[status(thm)],[c_520047,c_237]) ).
tcf(c_533239,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,s(X2,s(X1,X2)),s(X1,X2))
| s_t(s(X2,s(X1,X2)),X0,s(X1,X2))
| ( s(X1,X2) = X1 )
| ~ s_t(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_520047,c_147]) ).
tcf(c_533240,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,s(X2,s(X1,X2)))
| ( s(X1,X2) = X1 )
| ( s(X2,s(X1,X2)) = X1 )
| ~ sameside(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_520047,c_145]) ).
tcf(c_533241,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,s(X1,X2))
| sameside(X0,X1,s(X2,s(X1,X2)))
| ( X0 = X1 )
| ( s(X1,X2) = X1 )
| ( s(X2,s(X1,X2)) = X1 )
| ~ s_col(X0,X1,s(X2,s(X1,X2))) ),
inference(superposition,[status(thm)],[c_520047,c_143]) ).
tcf(c_533243,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(s(X2,s(X1,X2)),X1,X0)
| ( X0 = X1 )
| ( s(X1,X2) = X1 )
| ( s(X2,s(X1,X2)) = X1 )
| ~ s_t(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_520047,c_131]) ).
tcf(c_533244,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,s(X1,X0))
| ( X1 = X2 )
| ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ sameside(s(X0,s(X1,X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_520047,c_125]) ).
tcf(c_533245,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,s(X1,X0)),X2,X1)
| s_t(s(X0,s(X1,X0)),X1,X2)
| ~ s_t(s(X0,s(X1,X0)),X2,s(X1,X0)) ),
inference(superposition,[status(thm)],[c_520047,c_109]) ).
tcf(c_533246,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X2,s(X1,X0))
| s_t(X1,s(X1,X0),X2)
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_t(s(X0,s(X1,X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_520047,c_108]) ).
tcf(c_533247,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,s(X1,X0)),X2,s(X1,X0))
| s_t(s(X0,s(X1,X0)),s(X1,X0),X2)
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_t(s(X0,s(X1,X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_520047,c_107]) ).
tcf(c_533248,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X1,s(X0,X1)),X0,X2)
| ( s(X0,X1) = X0 )
| ~ s_t(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_520047,c_81]) ).
tcf(c_533249,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,s(X1,X0)),X1,X2)
| ~ s_t(s(X0,s(X1,X0)),s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_520047,c_80]) ).
tcf(c_533250,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X2,s(X0,X2)),X1,s(X0,X2))
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_520047,c_79]) ).
tcf(c_533251,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X1,s(X0,X1)),s(X0,X1),X2)
| ( s(X0,X1) = X0 )
| ~ s_t(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_520047,c_78]) ).
tcf(c_533252,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,s(X1,X0),X2)
| ~ s_t(s(X0,s(X1,X0)),s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_520047,c_77]) ).
tcf(c_533253,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X2,s(X0,X2)),X0,X1)
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_520047,c_76]) ).
tcf(c_533254,plain,
! [X0: $i,X1: $i] :
( ( s(X1,s(X0,X1)) = X0 )
| ~ s_t(X0,s(X1,s(X0,X1)),s(X0,X1)) ),
inference(superposition,[status(thm)],[c_520047,c_75]) ).
tcf(c_533338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X0,X1,X2),ext(X0,c63(X0,X1,X2),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_481092]) ).
tcf(c_533339,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,c63(X0,X1,X2),c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_481092]) ).
tcf(c_533340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X0,X1,X2),ins(X3,X4,X0,c63(X0,X1,X2)))
| ~ sameside(X0,X1,X2)
| ~ le(X0,c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_110,c_481092]) ).
tcf(c_533341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,c63(X0,X1,X2),c63(X0,c63(X0,X1,X2),X3))
| ~ sameside(X0,X1,X2)
| ~ sameside(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_129,c_481092]) ).
tcf(c_533342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,c63(X1,X2,X3),c63(X0,c63(X1,X2,X3),X1))
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_130,c_481092]) ).
tcf(c_533343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,c63(X2,X3,X4),insert5(X0,X1,X5,X2,c63(X2,X3,X4)))
| ~ sameside(X2,X3,X4)
| ~ s_t(X0,X1,X5)
| ~ s_e(X0,X1,X2,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_505149,c_481092]) ).
tcf(c_533344,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,c63(X0,X1,X2),s(c63(X0,X1,X2),X0))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_481092]) ).
tcf(c_533345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,c63(X1,X2,X3),ins(X4,X5,X0,X1))
| s_t(X1,ins(X4,X5,X0,X1),c63(X1,X2,X3))
| ( X0 = X1 )
| ~ sameside(X1,X2,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_480738,c_481092]) ).
tcf(c_533346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,c63(X0,X2,X3),ins(X4,X5,X0,X1))
| s_t(X0,ins(X4,X5,X0,X1),c63(X0,X2,X3))
| ( X0 = X1 )
| ~ sameside(X0,X2,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_480739,c_481092]) ).
tcf(c_533347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,c63(X0,X1,X2),ip(X4,X0,X5,X3,X6))
| s_t(X0,ip(X4,X0,X5,X3,X6),c63(X0,X1,X2))
| ~ sameside(X0,X1,X2)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X6,X5)
| ~ s_t(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_480702,c_481092]) ).
tcf(c_533348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,c63(X0,X1,X2),ip(X3,X4,X5,X6,X0))
| s_t(X0,ip(X3,X4,X5,X6,X0),c63(X0,X1,X2))
| ~ sameside(X0,X1,X2)
| ~ s_t(X6,X0,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_480703,c_481092]) ).
tcf(c_533349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,c63(X0,X2,X3),ext(X0,X1,X4,X5))
| s_t(X0,ext(X0,X1,X4,X5),c63(X0,X2,X3))
| ( X0 = X1 )
| ~ sameside(X0,X2,X3)
| ~ s_t(X0,X1,c63(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_480599,c_481092]) ).
tcf(c_533351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X0,X2,X3),c63(X0,X1,X4))
| s_t(X0,c63(X0,X1,X4),c63(X0,X2,X3))
| ( X0 = X1 )
| ~ sameside(X0,X2,X3)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_481087,c_481092]) ).
tcf(c_533352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,c63(X1,X2,X3),ext(X0,X1,X4,X5))
| s_t(X1,ext(X0,X1,X4,X5),c63(X1,X2,X3))
| ( X0 = X1 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X0,X1,c63(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_480646,c_481092]) ).
tcf(c_533354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X1,X2,X3),c63(X0,X1,X4))
| s_t(X1,c63(X0,X1,X4),c63(X1,X2,X3))
| ( X0 = X1 )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_481086,c_481092]) ).
tcf(c_533355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,c63(X1,X2,X3),ins(X4,X5,X0,c63(X1,X2,X3)))
| ( c63(X1,X2,X3) = X1 )
| ( c63(X1,X2,X3) = X0 )
| ( ins(X4,X5,X0,c63(X1,X2,X3)) = c63(X1,X2,X3) )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X1)
| ~ le(X0,c63(X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481026,c_481092]) ).
tcf(c_533356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X1,X2,X3),c63(X0,c63(X1,X2,X3),X4))
| ( c63(X1,X2,X3) = X1 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X4)
| ~ sameside(X0,c63(X1,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_528230,c_481092]) ).
tcf(c_533357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,c63(X0,X1,X2),crossbar(X4,X5,X3,X6,X7,X0))
| s_t(X0,crossbar(X4,X5,X3,X6,X7,X0),c63(X0,X1,X2))
| ~ sameside(X0,X1,X2)
| ~ s_t(X6,X7,X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_480706,c_481092]) ).
tcf(c_533358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,c63(X0,X1,X2),crossbar(X4,X0,X5,X7,X3,X6))
| s_t(X0,crossbar(X4,X0,X5,X7,X3,X6),c63(X0,X1,X2))
| ~ sameside(X0,X1,X2)
| ~ s_t(X7,X3,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,c63(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_480707,c_481092]) ).
tcf(c_533359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,c63(X1,X2,X3),ext(X0,c63(X1,X2,X3),X4,X5))
| ( c63(X1,X2,X3) = X1 )
| ( c63(X1,X2,X3) = X0 )
| ( ext(X0,c63(X1,X2,X3),X4,X5) = c63(X1,X2,X3) )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_481019,c_481092]) ).
tcf(c_533360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X0,X1,X2),ext(X0,s(c63(X0,X1,X2),X0),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_481092]) ).
tcf(c_533361,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,c63(X0,X1,X2),s(s(c63(X0,X1,X2),X0),X0))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_481092]) ).
tcf(c_533362,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,c63(X0,X1,X2),s(s(s(c63(X0,X1,X2),X0),X0),X0))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_481092]) ).
tcf(c_533363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X0,X1,X2),s(ext(X0,c63(X0,X1,X2),X3,X4),X0))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_481092]) ).
tcf(c_533635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,ip(X5,X1,X4,c63(X0,X1,X2),X3))
| ~ sameside(X0,X1,X2)
| ~ s_t(X5,X1,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_56,c_481093]) ).
tcf(c_533636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,ip(c63(X0,X1,X2),X3,X4,X5,X1))
| ~ sameside(X0,X1,X2)
| ~ s_t(X5,X1,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_57,c_481093]) ).
tcf(c_533639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X3,crossbar(X0,X1,c63(X2,X3,X4),X5,X6,X3))
| ~ sameside(X2,X3,X4)
| ~ s_t(X0,X3,X5)
| ~ s_t(X5,X6,c63(X2,X3,X4))
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_87,c_481093]) ).
tcf(c_533640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X2,crossbar(X5,X2,X4,X0,c63(X1,X2,X3),X6))
| ~ sameside(X1,X2,X3)
| ~ s_t(X5,X6,X0)
| ~ s_t(X5,X2,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_88,c_481093]) ).
tcf(c_533643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X2,ext(ext(c63(X3,X2,X4),X2,alpha,gamma),X2,X0,X1))
| ~ sameside(X3,X2,X4)
| ~ le(X0,X1,X2,c63(X3,X2,X4)) ),
inference(superposition,[status(thm)],[c_231,c_481093]) ).
tcf(c_533644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X0,ins(X4,X5,X0,X1))
| s_t(X0,c63(X2,X0,X3),ins(X4,X5,X0,X1))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480739,c_481093]) ).
tcf(c_533645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,ins(X4,X5,X0,X1))
| s_t(X1,c63(X2,X1,X3),ins(X4,X5,X0,X1))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480738,c_481093]) ).
tcf(c_533646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X0,ip(X4,X0,X5,X3,X6))
| s_t(X0,c63(X1,X0,X2),ip(X4,X0,X5,X3,X6))
| ~ sameside(X1,X0,X2)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X6,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480702,c_481093]) ).
tcf(c_533647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X0,ip(X4,X0,X5,X1,X6))
| ~ sameside(X2,X0,X3)
| ~ s_t(X4,X0,X5)
| ~ s_t(X1,X6,X5)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480205,c_481093]) ).
tcf(c_533648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ip(X3,X0,X4,X1,X5),X1)
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X5,X4)
| ~ sameside(X2,ip(X3,X0,X4,X1,X5),X6)
| ~ s_t(X0,X1,c63(X2,ip(X3,X0,X4,X1,X5),X6)) ),
inference(superposition,[status(thm)],[c_480135,c_481093]) ).
tcf(c_533649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,ip(X0,c63(X1,X2,X3),X4,X2,X5))
| ~ sameside(X1,X2,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480074,c_481093]) ).
tcf(c_533650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X0,ip(X3,X4,X5,X6,X0))
| s_t(X0,c63(X1,X0,X2),ip(X3,X4,X5,X6,X0))
| ~ sameside(X1,X0,X2)
| ~ s_t(X6,X0,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480703,c_481093]) ).
tcf(c_533651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X0,ip(X1,X4,X5,X6,X0))
| ~ sameside(X2,X0,X3)
| ~ s_t(X6,X0,X5)
| ~ s_t(X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480206,c_481093]) ).
tcf(c_533652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ip(X1,X3,X4,X5,X0),X1)
| ~ s_t(X5,X0,X4)
| ~ s_t(X1,X3,X4)
| ~ sameside(X2,ip(X1,X3,X4,X5,X0),X6)
| ~ s_t(X0,X1,c63(X2,ip(X1,X3,X4,X5,X0),X6)) ),
inference(superposition,[status(thm)],[c_480136,c_481093]) ).
tcf(c_533653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,ip(X2,X5,X4,X0,c63(X1,X2,X3)))
| ~ sameside(X1,X2,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480075,c_481093]) ).
tcf(c_533654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X0,ext(X0,X1,X4,X5))
| s_t(X0,c63(X2,X0,X3),ext(X0,X1,X4,X5))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480599,c_481093]) ).
tcf(c_533655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,c63(X0,X1,X4))
| s_t(X0,c63(X2,X0,X3),c63(X0,X1,X4))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481087,c_481093]) ).
tcf(c_533657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,ext(X0,X1,X4,X5))
| s_t(X1,c63(X2,X1,X3),ext(X0,X1,X4,X5))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480646,c_481093]) ).
tcf(c_533658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,c63(X0,X1,X4))
| s_t(X1,c63(X2,X1,X3),c63(X0,X1,X4))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481086,c_481093]) ).
tcf(c_533661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,ext(ext(c63(X0,X1,X2),X1,alpha,gamma),X1,c63(X0,X1,X2),X3))
| ~ sameside(X0,X1,X2)
| ~ s_t(c63(X0,X1,X2),X3,X1) ),
inference(superposition,[status(thm)],[c_480406,c_481093]) ).
tcf(c_533662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X0,ext(ext(c63(X2,X0,X3),X0,alpha,gamma),X0,X0,X1))
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480408,c_481093]) ).
tcf(c_533663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X0,crossbar(X4,X5,X3,X6,X7,X0))
| s_t(X0,c63(X1,X0,X2),crossbar(X4,X5,X3,X6,X7,X0))
| ~ sameside(X1,X0,X2)
| ~ s_t(X6,X7,X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480706,c_481093]) ).
tcf(c_533664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X0,crossbar(X4,X5,X1,X6,X7,X0))
| ~ sameside(X2,X0,X3)
| ~ s_t(X6,X7,X1)
| ~ s_t(X4,X5,X1)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480256,c_481093]) ).
tcf(c_533665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,crossbar(X3,X4,X1,X5,X6,X0),X1)
| ~ s_t(X5,X6,X1)
| ~ s_t(X3,X4,X1)
| ~ s_t(X3,X0,X5)
| ~ sameside(X2,crossbar(X3,X4,X1,X5,X6,X0),X7)
| ~ s_t(X0,X1,c63(X2,crossbar(X3,X4,X1,X5,X6,X0),X7)) ),
inference(superposition,[status(thm)],[c_480259,c_481093]) ).
tcf(c_533666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X2,crossbar(X0,X5,X2,X4,X6,c63(X1,X2,X3)))
| ~ sameside(X1,X2,X3)
| ~ s_t(X4,X6,X2)
| ~ s_t(X0,X5,X2)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480262,c_481093]) ).
tcf(c_533667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X0,crossbar(X4,X0,X5,X7,X1,X6))
| ~ sameside(X2,X0,X3)
| ~ s_t(X7,X1,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480318,c_481093]) ).
tcf(c_533668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,crossbar(X3,X0,X4,X5,X1,X6),X1)
| ~ s_t(X5,X1,X4)
| ~ s_t(X3,X6,X5)
| ~ s_t(X3,X0,X4)
| ~ sameside(X2,crossbar(X3,X0,X4,X5,X1,X6),X7)
| ~ s_t(X0,X1,c63(X2,crossbar(X3,X0,X4,X5,X1,X6),X7)) ),
inference(superposition,[status(thm)],[c_480321,c_481093]) ).
tcf(c_533669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X0,crossbar(X4,X0,X5,X7,X3,X6))
| s_t(X0,c63(X1,X0,X2),crossbar(X4,X0,X5,X7,X3,X6))
| ~ sameside(X1,X0,X2)
| ~ s_t(X7,X3,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480707,c_481093]) ).
tcf(c_533670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X2,crossbar(X0,c63(X1,X2,X3),X4,X6,X2,X5))
| ~ sameside(X1,X2,X3)
| ~ s_t(X6,X2,X4)
| ~ s_t(X0,X5,X6)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480324,c_481093]) ).
tcf(c_534038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,c63(ins(X2,X3,X0,X1),X0,X4),ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X0 )
| ~ le(X0,X1,X2,X3)
| ~ sameside(ins(X2,X3,X0,X1),X0,X4)
| ~ s_t(X0,X1,c63(ins(X2,X3,X0,X1),X0,X4)) ),
inference(superposition,[status(thm)],[c_480739,c_481094]) ).
tcf(c_534039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(ins(X2,X3,X0,X1),X1,X4),ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3)
| ~ sameside(ins(X2,X3,X0,X1),X1,X4)
| ~ s_t(X0,X1,c63(ins(X2,X3,X0,X1),X1,X4)) ),
inference(superposition,[status(thm)],[c_480738,c_481094]) ).
tcf(c_534040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,c63(ip(X1,X0,X2,X3,X4),X0,X5),ip(X1,X0,X2,X3,X4))
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ sameside(ip(X1,X0,X2,X3,X4),X0,X5)
| ~ s_t(X0,c63(ip(X1,X0,X2,X3,X4),X0,X5),X3) ),
inference(superposition,[status(thm)],[c_480702,c_481094]) ).
tcf(c_534041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X2,X0,X3,X1,X4) = X0 )
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X4,X3)
| ~ sameside(ip(X2,X0,X3,X1,X4),X0,X5)
| ~ s_t(X0,X1,c63(ip(X2,X0,X3,X1,X4),X0,X5)) ),
inference(superposition,[status(thm)],[c_480205,c_481094]) ).
tcf(c_534042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X2,X0,X3,X1,X4) = X1 )
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X4,X3)
| ~ sameside(X1,ip(X2,X0,X3,X1,X4),X5)
| ~ s_t(X0,X1,c63(X1,ip(X2,X0,X3,X1,X4),X5)) ),
inference(superposition,[status(thm)],[c_480135,c_481094]) ).
tcf(c_534043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,c63(ip(X1,X2,X3,X4,X0),X0,X5),ip(X1,X2,X3,X4,X0))
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(ip(X1,X2,X3,X4,X0),X0,X5)
| ~ s_t(X0,c63(ip(X1,X2,X3,X4,X0),X0,X5),X1) ),
inference(superposition,[status(thm)],[c_480703,c_481094]) ).
tcf(c_534044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(ip(X1,X2,X3,X4,X0),X0,X5)
| ~ s_t(X0,X1,c63(ip(X1,X2,X3,X4,X0),X0,X5)) ),
inference(superposition,[status(thm)],[c_480206,c_481094]) ).
tcf(c_534045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X1,X2,X3,X4,X0) = X1 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X1,ip(X1,X2,X3,X4,X0),X5)
| ~ s_t(X0,X1,c63(X1,ip(X1,X2,X3,X4,X0),X5)) ),
inference(superposition,[status(thm)],[c_480136,c_481094]) ).
tcf(c_534046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,c63(ext(X0,X1,X2,X3),X0,X4),ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ sameside(ext(X0,X1,X2,X3),X0,X4)
| ~ s_t(X0,X1,c63(ext(X0,X1,X2,X3),X0,X4)) ),
inference(superposition,[status(thm)],[c_480599,c_481094]) ).
tcf(c_534047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,c63(c63(X0,X1,X2),X0,X3),c63(X0,X1,X2))
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X0 )
| ~ sameside(X0,X1,X2)
| ~ sameside(c63(X0,X1,X2),X0,X3)
| ~ s_t(X0,X1,c63(c63(X0,X1,X2),X0,X3)) ),
inference(superposition,[status(thm)],[c_481087,c_481094]) ).
tcf(c_534049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(ext(X0,X1,X2,X3),X1,X4),ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ sameside(ext(X0,X1,X2,X3),X1,X4)
| ~ s_t(X0,X1,c63(ext(X0,X1,X2,X3),X1,X4)) ),
inference(superposition,[status(thm)],[c_480646,c_481094]) ).
tcf(c_534050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,c63(c63(X0,X1,X2),X1,X3),c63(X0,X1,X2))
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X0,X1,X2)
| ~ sameside(c63(X0,X1,X2),X1,X3)
| ~ s_t(X0,X1,c63(c63(X0,X1,X2),X1,X3)) ),
inference(superposition,[status(thm)],[c_481086,c_481094]) ).
tcf(c_534051,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,c63(X0,X1,X2),X0)
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_481086,c_481094]) ).
tcf(c_534053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,c63(crossbar(X1,X2,X3,X4,X5,X0),X0,X6),crossbar(X1,X2,X3,X4,X5,X0))
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ sameside(crossbar(X1,X2,X3,X4,X5,X0),X0,X6)
| ~ s_t(X0,c63(crossbar(X1,X2,X3,X4,X5,X0),X0,X6),X3) ),
inference(superposition,[status(thm)],[c_480706,c_481094]) ).
tcf(c_534054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X2,X3,X1,X4,X5,X0) = X0 )
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X0,X4)
| ~ sameside(crossbar(X2,X3,X1,X4,X5,X0),X0,X6)
| ~ s_t(X0,X1,c63(crossbar(X2,X3,X1,X4,X5,X0),X0,X6)) ),
inference(superposition,[status(thm)],[c_480256,c_481094]) ).
tcf(c_534055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X2,X3,X1,X4,X5,X0) = X1 )
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X0,X4)
| ~ sameside(X1,crossbar(X2,X3,X1,X4,X5,X0),X6)
| ~ s_t(X0,X1,c63(X1,crossbar(X2,X3,X1,X4,X5,X0),X6)) ),
inference(superposition,[status(thm)],[c_480259,c_481094]) ).
tcf(c_534056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X2,X0,X3,X4,X1,X5) = X0 )
| ~ s_t(X4,X1,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X2,X0,X3)
| ~ sameside(crossbar(X2,X0,X3,X4,X1,X5),X0,X6)
| ~ s_t(X0,X1,c63(crossbar(X2,X0,X3,X4,X1,X5),X0,X6)) ),
inference(superposition,[status(thm)],[c_480318,c_481094]) ).
tcf(c_534057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X2,X0,X3,X4,X1,X5) = X1 )
| ~ s_t(X4,X1,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X2,X0,X3)
| ~ sameside(X1,crossbar(X2,X0,X3,X4,X1,X5),X6)
| ~ s_t(X0,X1,c63(X1,crossbar(X2,X0,X3,X4,X1,X5),X6)) ),
inference(superposition,[status(thm)],[c_480321,c_481094]) ).
tcf(c_534058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,c63(crossbar(X1,X0,X2,X3,X4,X5),X0,X6),crossbar(X1,X0,X2,X3,X4,X5))
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ sameside(crossbar(X1,X0,X2,X3,X4,X5),X0,X6)
| ~ s_t(X0,c63(crossbar(X1,X0,X2,X3,X4,X5),X0,X6),X4) ),
inference(superposition,[status(thm)],[c_480707,c_481094]) ).
tcf(c_534213,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X0 )
| ( s(X1,s(X0,X1)) = s(X0,X1) )
| ~ s_r(X0,s(X0,X1),s(X1,s(X0,X1))) ),
inference(superposition,[status(thm)],[c_520925,c_187]) ).
tcf(c_534214,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(s(X1,s(X0,X1)),X0,X2)
| ( s(X0,X1) = X0 )
| ~ s_r(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_520925,c_181]) ).
tcf(c_534215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( X0 = X1 )
| ( s(X3,X2) = X3 )
| ( s(X2,s(X3,X2)) = X4 )
| ~ s_col(X0,X1,X4)
| ~ s_col(X3,s(X3,X2),X5)
| ~ s_col(X3,s(X3,X2),X4)
| ~ s_col(X0,X1,s(X2,s(X3,X2))) ),
inference(superposition,[status(thm)],[c_520925,c_152]) ).
tcf(c_534216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(X1,s(X0,X1)),X2,X3)
| ( s(X0,X1) = X0 )
| ( s(X1,s(X0,X1)) = X2 )
| ~ s_col(X0,s(X0,X1),X3)
| ~ s_col(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_520925,c_151]) ).
tcf(c_534217,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(X0,X1)),X2)
| ( s(X0,X1) = X0 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_520925,c_148]) ).
tcf(c_534218,plain,
! [X0: $i,X1: $i] :
( sameside(X0,s(X0,X1),s(X1,s(X0,X1)))
| s_t(X0,s(X0,X1),s(X1,s(X0,X1))) ),
inference(superposition,[status(thm)],[c_520925,c_134]) ).
tcf(c_534224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X1,s(X1,X0),X2,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = X2 )
| ~ s_col(X4,X5,X3)
| ~ s_col(X4,X5,X2)
| ~ s_col(X1,s(X1,X0),X2)
| ~ s_r(s(X0,s(X1,X0)),X2,X3) ),
inference(superposition,[status(thm)],[c_520925,c_200]) ).
tcf(c_534279,plain,
! [X0: $i,X1: $i] :
( ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_r(s(X0,s(X1,X0)),X1,s(X1,X0)) ),
inference(superposition,[status(thm)],[c_521029,c_187]) ).
tcf(c_534280,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(s(X0,X1),s(X1,s(X0,X1)),X2)
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_r(X0,s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_521029,c_181]) ).
tcf(c_534281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( s(X1,X0) = X2 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,s(X1,X0))
| ~ s_col(s(X0,s(X1,X0)),X1,X3)
| ~ s_col(s(X0,s(X1,X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_521029,c_152]) ).
tcf(c_534282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(X1,X0),X2,X3)
| ( s(X1,X0) = X2 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(s(X0,s(X1,X0)),X1,X3)
| ~ s_col(s(X0,s(X1,X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_521029,c_151]) ).
tcf(c_534283,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),s(X1,X0),X2)
| ( s(X0,s(X1,X0)) = X1 )
| ( s(X0,s(X1,X0)) = s(X1,X0) )
| ~ s_col(s(X0,s(X1,X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_521029,c_148]) ).
tcf(c_534290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(s(X0,s(X1,X0)),X1,X2,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( s(X1,X0) = X2 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(X4,X5,X3)
| ~ s_col(X4,X5,X2)
| ~ s_r(s(X1,X0),X2,X3)
| ~ s_col(s(X0,s(X1,X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_521029,c_200]) ).
tcf(c_534327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(c63(X0,X1,X2),X1,X0,X4,X1,X3) = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X4,X1,X0)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481095,c_480316]) ).
tcf(c_534328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(c63(X0,X1,X2),X1,X0,X3,X4,X0) = X0 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X3,X4,X0)
| ~ s_t(c63(X0,X1,X2),X0,X3) ),
inference(superposition,[status(thm)],[c_481095,c_480254]) ).
tcf(c_534329,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c63(X0,X1,X2) = X1 )
| ( ext(c63(X0,X1,X2),X1,X1,X0) = X0 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481095,c_480013]) ).
tcf(c_534330,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c63(X0,X1,X2) = X1 )
| ( ext(c63(X0,X1,X2),X1,X0,X1) = X0 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481095,c_480011]) ).
tcf(c_534331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(c63(X1,X2,X3),X2,X1,X0,c63(X1,X2,X3)) = c63(X1,X2,X3) )
| ~ sameside(X1,X2,X3)
| ~ s_t(X0,c63(X1,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_481095,c_479924]) ).
tcf(c_534332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(c63(X2,X0,X3),X0,X2,X0,X1) = X0 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481095,c_479914]) ).
tcf(c_534333,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,c63(X0,X1,X2),X1)
| ( c63(X0,X1,X2) = X1 )
| ( c63(X0,X1,X2) = X0 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481095,c_238]) ).
tcf(c_534334,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X1,c63(X0,X1,X2),X0)
| ( c63(X0,X1,X2) = xb )
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481095,c_237]) ).
tcf(c_534335,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481095,c_225]) ).
tcf(c_534336,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,c63(X0,X1,X2),X1)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481095,c_224]) ).
tcf(c_534337,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(c63(X0,X1,X2),X1,X0)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481095,c_223]) ).
tcf(c_534339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,c63(X2,X1,X3),X2)
| s_t(c63(X2,X1,X3),X0,X2)
| ( X1 = X2 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481095,c_147]) ).
tcf(c_534340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X3,X1,c63(X0,X1,X2))
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X3,X1,X0)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481095,c_145]) ).
tcf(c_534341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,c63(X2,X1,X3))
| ( X1 = X2 )
| ( X0 = X1 )
| ( c63(X2,X1,X3) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_col(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481095,c_143]) ).
tcf(c_534342,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ sameside(X0,X1,X2)
| ~ sameside(c63(X0,X1,X2),X1,X0) ),
inference(superposition,[status(thm)],[c_481095,c_133]) ).
tcf(c_534343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(c63(X2,X1,X3),X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( c63(X2,X1,X3) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481095,c_131]) ).
tcf(c_534344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X1,X0)
| ( X1 = X3 )
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X0,X1,X2)
| ~ sameside(c63(X0,X1,X2),X1,X3) ),
inference(superposition,[status(thm)],[c_481095,c_125]) ).
tcf(c_534345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(c63(X0,X1,X2),X3,X1)
| s_t(c63(X0,X1,X2),X1,X3)
| ~ sameside(X0,X1,X2)
| ~ s_t(c63(X0,X1,X2),X3,X0) ),
inference(superposition,[status(thm)],[c_481095,c_109]) ).
tcf(c_534346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X3,X0)
| s_t(X1,X0,X3)
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(c63(X0,X1,X2),X1,X3) ),
inference(superposition,[status(thm)],[c_481095,c_108]) ).
tcf(c_534347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(c63(X0,X1,X2),X3,X0)
| s_t(c63(X0,X1,X2),X0,X3)
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(c63(X0,X1,X2),X1,X3) ),
inference(superposition,[status(thm)],[c_481095,c_107]) ).
tcf(c_534348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(c63(X1,X0,X3),X0,X2)
| ( X0 = X1 )
| ~ sameside(X1,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481095,c_81]) ).
tcf(c_534349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(c63(X0,X1,X2),X1,X3)
| ~ sameside(X0,X1,X2)
| ~ s_t(c63(X0,X1,X2),X0,X3) ),
inference(superposition,[status(thm)],[c_481095,c_80]) ).
tcf(c_534350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(c63(X2,X0,X3),X1,X2)
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481095,c_79]) ).
tcf(c_534351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(c63(X1,X0,X3),X1,X2)
| ( X0 = X1 )
| ~ sameside(X1,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481095,c_78]) ).
tcf(c_534352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,X3)
| ~ sameside(X0,X1,X2)
| ~ s_t(c63(X0,X1,X2),X0,X3) ),
inference(superposition,[status(thm)],[c_481095,c_77]) ).
tcf(c_534353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(c63(X2,X0,X3),X0,X1)
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481095,c_76]) ).
tcf(c_534354,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c63(X1,X0,X2) = X0 )
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,c63(X1,X0,X2),X1) ),
inference(superposition,[status(thm)],[c_481095,c_75]) ).
tcf(c_534356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c63(ext(X0,X1,X2,X3),X1,X4) = X1 )
| ( ext(c63(ext(X0,X1,X2,X3),X1,X4),X1,X2,X3) = ext(X0,X1,X2,X3) )
| ~ sameside(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481095,c_480012]) ).
tcf(c_534357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c63(ins(X0,X1,X2,X3),X2,X4) = X2 )
| ( ext(c63(ins(X0,X1,X2,X3),X2,X4),X2,X0,X1) = ins(X0,X1,X2,X3) )
| ~ le(X2,X3,X0,X1)
| ~ sameside(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_481095,c_480795]) ).
tcf(c_534515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X1,c63(X0,X1,X2))
| ( X1 = X3 )
| ( X1 = X2 )
| ~ sameside(X0,X1,X2)
| ~ sameside(X2,X1,X3) ),
inference(global_subsumption_just,[status(thm)],[c_481145,c_128,c_23193]) ).
tcf(c_534516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X1,c63(X0,X1,X2))
| ( X1 = X3 )
| ( X1 = X2 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_534515]) ).
tcf(c_534535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X4 )
| ( X1 = X3 )
| ( crossbar(X4,X1,c63(X2,X1,X3),X0,X1,X5) = X1 )
| ~ sameside(X3,X1,X4)
| ~ sameside(X2,X1,X3)
| ~ s_t(X4,X5,X0)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_534516,c_480316]) ).
tcf(c_534536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X3 )
| ( X0 = X2 )
| ( crossbar(X0,X2,c63(X1,X2,X3),X4,X5,c63(X1,X2,X3)) = c63(X1,X2,X3) )
| ~ sameside(X3,X2,X0)
| ~ sameside(X1,X2,X3)
| ~ s_t(X4,X5,c63(X1,X2,X3))
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_534516,c_480254]) ).
tcf(c_534537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( X1 = X2 )
| ( ext(X3,X1,X1,c63(X0,X1,X2)) = c63(X0,X1,X2) )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_534516,c_480013]) ).
tcf(c_534538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( X1 = X2 )
| ( ext(X3,X1,c63(X0,X1,X2),X1) = c63(X0,X1,X2) )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_534516,c_480011]) ).
tcf(c_534539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X4 )
| ( X1 = X3 )
| ( ip(X1,X3,c63(X2,X3,X4),X0,X1) = X1 )
| ~ sameside(X4,X3,X1)
| ~ sameside(X2,X3,X4)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_534516,c_479924]) ).
tcf(c_534540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X4 )
| ( X0 = X3 )
| ( ip(X4,X0,c63(X2,X0,X3),X0,X1) = X0 )
| ~ sameside(X3,X0,X4)
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_534516,c_479914]) ).
tcf(c_534541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(c63(X0,X1,X2),X3,X1)
| ( X1 = X3 )
| ( X1 = X2 )
| ( c63(X0,X1,X2) = X3 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_534516,c_238]) ).
tcf(c_534542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,X3,c63(X0,X1,X2))
| ( X3 = xb )
| ( X1 = X3 )
| ( X1 = X2 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_534516,c_237]) ).
tcf(c_534543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,c63(X0,X1,X2),X3)
| ( X1 = X3 )
| ( X1 = X2 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_534516,c_225]) ).
tcf(c_534544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(c63(X0,X1,X2),X3,X1)
| ( X1 = X3 )
| ( X1 = X2 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_534516,c_224]) ).
tcf(c_534545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X3,X1,c63(X0,X1,X2))
| ( X1 = X3 )
| ( X1 = X2 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_534516,c_223]) ).
tcf(c_534546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X4 )
| ( X1 = X3 )
| ( X1 = X2 )
| ~ s_r(X4,X3,X1)
| ~ sameside(X2,X1,X4)
| ~ sameside(X0,X1,X2)
| ~ s_r(c63(X0,X1,X2),X3,X1) ),
inference(superposition,[status(thm)],[c_534516,c_184]) ).
tcf(c_534547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,c63(X2,X1,X3))
| s_t(X0,X4,c63(X2,X1,X3))
| ( X1 = X4 )
| ( X1 = X3 )
| ( c63(X2,X1,X3) = X1 )
| ~ sameside(X3,X1,X4)
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_534516,c_147]) ).
tcf(c_534548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X1 = X4 )
| ( X1 = X3 )
| ( c63(X2,X1,X3) = X1 )
| ~ sameside(X3,X1,X4)
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_534516,c_145]) ).
tcf(c_534549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,c63(X3,X1,X4))
| ( X1 = X4 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( c63(X3,X1,X4) = X1 )
| ~ sameside(X4,X1,X2)
| ~ sameside(X3,X1,X4)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_534516,c_143]) ).
tcf(c_534550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_534516,c_133]) ).
tcf(c_534551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,X1,X0)
| ( X1 = X4 )
| ( X1 = X3 )
| ( X0 = X1 )
| ( c63(X2,X1,X3) = X1 )
| ~ sameside(X3,X1,X4)
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_534516,c_131]) ).
tcf(c_534552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,c63(X0,X1,X2))
| ( X1 = X4 )
| ( X1 = X3 )
| ( X1 = X2 )
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X3,X1,X4)
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_534516,c_125]) ).
tcf(c_534553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X3,X1)
| s_t(X0,X1,X3)
| ( X3 = X4 )
| ( X0 = X3 )
| ~ sameside(X4,X3,X0)
| ~ sameside(X2,X3,X4)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_534516,c_109]) ).
tcf(c_534554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,c63(X3,X1,X4))
| s_t(X1,c63(X3,X1,X4),X2)
| ( X1 = X4 )
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X3,X1,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_534516,c_108]) ).
tcf(c_534555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,c63(X3,X1,X4))
| s_t(X0,c63(X3,X1,X4),X2)
| ( X1 = X4 )
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X3,X1,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_534516,c_107]) ).
tcf(c_534556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,X3)
| ( X0 = X4 )
| ( X0 = X2 )
| ( c63(X1,X0,X2) = X0 )
| ~ sameside(X2,X0,X4)
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_534516,c_81]) ).
tcf(c_534557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,X4)
| ( X2 = X3 )
| ( X0 = X2 )
| ~ sameside(X3,X2,X0)
| ~ sameside(X1,X2,X3)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_534516,c_80]) ).
tcf(c_534558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,c63(X2,X0,X3))
| ( X0 = X4 )
| ( X0 = X3 )
| ~ sameside(X3,X0,X4)
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_534516,c_79]) ).
tcf(c_534559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,c63(X1,X0,X2),X3)
| ( X0 = X4 )
| ( X0 = X2 )
| ( c63(X1,X0,X2) = X0 )
| ~ sameside(X2,X0,X4)
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_534516,c_78]) ).
tcf(c_534560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X1,X2,X3),X4)
| ( X2 = X3 )
| ( X0 = X2 )
| ~ sameside(X3,X2,X0)
| ~ sameside(X1,X2,X3)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_534516,c_77]) ).
tcf(c_534561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,X1)
| ( X0 = X4 )
| ( X0 = X3 )
| ~ sameside(X3,X0,X4)
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_534516,c_76]) ).
tcf(c_534562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ( X0 = X1 )
| ~ sameside(X3,X0,X1)
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_534516,c_75]) ).
tcf(c_534563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(c63(X0,X1,X2),X1,X3)
| ( X1 = X3 )
| ( X1 = X2 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_534516,c_73]) ).
tcf(c_534567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,c63(X0,ext(X1,X2,X3,X4),X5))
| ( ext(X1,X2,X3,X4) = X5 )
| ( ext(X1,X2,X3,X4) = X1 )
| ~ sameside(X5,ext(X1,X2,X3,X4),X1)
| ~ sameside(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_534516,c_480204]) ).
tcf(c_534568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ext(X1,X2,X3,X4),c63(X0,ext(X1,X2,X3,X4),X5))
| ( ext(X1,X2,X3,X4) = X5 )
| ( ext(X1,X2,X3,X4) = X1 )
| ~ sameside(X5,ext(X1,X2,X3,X4),X1)
| ~ sameside(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_534516,c_480134]) ).
tcf(c_534569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X1,X2,X3),c63(X0,c63(X1,X2,X3),X4))
| ( c63(X1,X2,X3) = X4 )
| ( c63(X1,X2,X3) = X1 )
| ~ sameside(X1,X2,X3)
| ~ sameside(X4,c63(X1,X2,X3),X1)
| ~ sameside(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_534516,c_481092]) ).
tcf(c_534570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,c63(X0,c63(X1,X2,X3),X4))
| ( c63(X1,X2,X3) = X4 )
| ( c63(X1,X2,X3) = X1 )
| ~ sameside(X1,X2,X3)
| ~ sameside(X4,c63(X1,X2,X3),X1)
| ~ sameside(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_534516,c_481089]) ).
tcf(c_534571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X1,c63(X0,s(X1,X2),X3))
| ( s(X1,X2) = X3 )
| ( s(X1,X2) = X2 )
| ~ sameside(X3,s(X1,X2),X2)
| ~ sameside(X0,s(X1,X2),X3) ),
inference(superposition,[status(thm)],[c_534516,c_485960]) ).
tcf(c_534572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ins(X1,X2,X3,X4),c63(X0,ins(X1,X2,X3,X4),X5))
| ( ins(X1,X2,X3,X4) = X5 )
| ( ins(X1,X2,X3,X4) = X3 )
| ~ le(X3,X4,X1,X2)
| ~ sameside(X5,ins(X1,X2,X3,X4),X3)
| ~ sameside(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_534516,c_480744]) ).
tcf(c_534573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X4,c63(X0,ins(X1,X2,X3,X4),X5))
| ( ins(X1,X2,X3,X4) = X5 )
| ( ins(X1,X2,X3,X4) = X3 )
| ~ le(X3,X4,X1,X2)
| ~ sameside(X5,ins(X1,X2,X3,X4),X3)
| ~ sameside(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_534516,c_480741]) ).
tcf(c_534574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,c63(X0,ext(X1,X2,X3,X4),X5))
| ( ext(X1,X2,X3,X4) = X5 )
| ( ext(X1,X2,X3,X4) = X2 )
| ~ sameside(X5,ext(X1,X2,X3,X4),X2)
| ~ sameside(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_534516,c_480227]) ).
tcf(c_534575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ext(X1,X2,X3,X4),c63(X0,ext(X1,X2,X3,X4),X5))
| ( ext(X1,X2,X3,X4) = X5 )
| ( ext(X1,X2,X3,X4) = X2 )
| ~ sameside(X5,ext(X1,X2,X3,X4),X2)
| ~ sameside(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_534516,c_480157]) ).
tcf(c_534576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ins(X1,X2,X3,X4),c63(X0,ins(X1,X2,X3,X4),X5))
| ( ins(X1,X2,X3,X4) = X5 )
| ( ins(X1,X2,X3,X4) = X4 )
| ~ le(X3,X4,X1,X2)
| ~ sameside(X5,ins(X1,X2,X3,X4),X4)
| ~ sameside(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_534516,c_480743]) ).
tcf(c_534577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X4,c63(X0,ins(X1,X2,X3,X4),X5))
| ( ins(X1,X2,X3,X4) = X5 )
| ( ins(X1,X2,X3,X4) = X4 )
| ~ le(X3,X4,X1,X2)
| ~ sameside(X5,ins(X1,X2,X3,X4),X4)
| ~ sameside(X0,ins(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_534516,c_480740]) ).
tcf(c_534578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X1,X2,X3),c63(X0,c63(X1,X2,X3),X4))
| ( c63(X1,X2,X3) = X4 )
| ( c63(X1,X2,X3) = X2 )
| ~ sameside(X1,X2,X3)
| ~ sameside(X4,c63(X1,X2,X3),X2)
| ~ sameside(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_534516,c_532776]) ).
tcf(c_534579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,c63(X0,c63(X1,X2,X3),X4))
| ( c63(X1,X2,X3) = X4 )
| ( c63(X1,X2,X3) = X2 )
| ~ sameside(X1,X2,X3)
| ~ sameside(X4,c63(X1,X2,X3),X2)
| ~ sameside(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_534516,c_531999]) ).
tcf(c_534581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ip(X2,X3,X4,X1,X5),c63(X6,X1,X0))
| ( X0 = X1 )
| ( ip(X2,X3,X4,X1,X5) = X1 )
| ~ sameside(X6,X1,X0)
| ~ s_t(X2,X3,X4)
| ~ s_t(X1,X5,X4)
| ~ sameside(X0,X1,ip(X2,X3,X4,X1,X5)) ),
inference(superposition,[status(thm)],[c_534516,c_480228]) ).
tcf(c_534582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X1,c63(X6,X1,X0))
| ( X0 = X1 )
| ( ip(X2,X3,X4,X1,X5) = X1 )
| ~ sameside(X6,X1,X0)
| ~ s_t(X2,X3,X4)
| ~ s_t(X1,X5,X4)
| ~ sameside(X0,X1,ip(X2,X3,X4,X1,X5)) ),
inference(superposition,[status(thm)],[c_534516,c_480158]) ).
tcf(c_534583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X1,c63(X5,X1,X0))
| ( X0 = X1 )
| ( ip(X2,X3,X4,c63(X5,X1,X0),X6) = X1 )
| ~ sameside(X5,X1,X0)
| ~ s_t(X2,X3,X4)
| ~ s_t(c63(X5,X1,X0),X6,X4)
| ~ sameside(X0,X1,ip(X2,X3,X4,c63(X5,X1,X0),X6)) ),
inference(superposition,[status(thm)],[c_534516,c_480182]) ).
tcf(c_534584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ip(X2,X3,X4,c63(X5,X1,X0),X6),X1)
| ( X0 = X1 )
| ( ip(X2,X3,X4,c63(X5,X1,X0),X6) = X1 )
| ~ sameside(X5,X1,X0)
| ~ s_t(X2,X3,X4)
| ~ s_t(c63(X5,X1,X0),X6,X4)
| ~ sameside(X0,X1,ip(X2,X3,X4,c63(X5,X1,X0),X6)) ),
inference(superposition,[status(thm)],[c_534516,c_480112]) ).
tcf(c_534585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X1 )
| ( ip(X2,X1,X3,c63(X4,X1,X0),X5) = X1 )
| ~ sameside(X4,X1,X0)
| ~ s_t(X2,X1,X3)
| ~ s_t(c63(X4,X1,X0),X5,X3)
| ~ sameside(X0,X1,ip(X2,X1,X3,c63(X4,X1,X0),X5)) ),
inference(superposition,[status(thm)],[c_534516,c_480091]) ).
tcf(c_534586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X5),c63(X6,X1,X0))
| ( X0 = X1 )
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ~ sameside(X6,X1,X0)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,X1,ip(X1,X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_534516,c_480229]) ).
tcf(c_534587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,X1,c63(X6,X1,X0))
| ( X0 = X1 )
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ~ sameside(X6,X1,X0)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,X1,ip(X1,X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_534516,c_480159]) ).
tcf(c_534588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X1,c63(X2,X1,X0))
| ( X0 = X1 )
| ( ip(c63(X2,X1,X0),X3,X4,X5,X6) = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X5,X6,X4)
| ~ s_t(c63(X2,X1,X0),X3,X4)
| ~ sameside(X0,X1,ip(c63(X2,X1,X0),X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_534516,c_480183]) ).
tcf(c_534589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,ip(c63(X2,X1,X0),X3,X4,X5,X6),X1)
| ( X0 = X1 )
| ( ip(c63(X2,X1,X0),X3,X4,X5,X6) = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X5,X6,X4)
| ~ s_t(c63(X2,X1,X0),X3,X4)
| ~ sameside(X0,X1,ip(c63(X2,X1,X0),X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_534516,c_480113]) ).
tcf(c_534590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X1 )
| ( ip(c63(X2,X1,X0),X3,X4,X5,X1) = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X5,X1,X4)
| ~ s_t(c63(X2,X1,X0),X3,X4)
| ~ sameside(X0,X1,ip(c63(X2,X1,X0),X3,X4,X5,X1)) ),
inference(superposition,[status(thm)],[c_534516,c_480092]) ).
tcf(c_534591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X1,X2,X3,X4,X5),X4,c63(X0,ip(X1,X2,X3,X4,X5),X6))
| s_t(ip(X1,X2,X3,X4,X5),c63(X0,ip(X1,X2,X3,X4,X5),X6),X4)
| ( ip(X1,X2,X3,X4,X5) = X6 )
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X6,ip(X1,X2,X3,X4,X5),X2)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_534516,c_480647]) ).
tcf(c_534592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X4,c63(X0,ip(X1,X2,X3,X4,X5),X6))
| s_t(X2,c63(X0,ip(X1,X2,X3,X4,X5),X6),X4)
| ( ip(X1,X2,X3,X4,X5) = X6 )
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X6,ip(X1,X2,X3,X4,X5),X2)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_534516,c_480600]) ).
tcf(c_534593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X1,X2,X3,X4,X5),X1,c63(X0,ip(X1,X2,X3,X4,X5),X6))
| s_t(ip(X1,X2,X3,X4,X5),c63(X0,ip(X1,X2,X3,X4,X5),X6),X1)
| ( ip(X1,X2,X3,X4,X5) = X6 )
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X6,ip(X1,X2,X3,X4,X5),X5)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_534516,c_480648]) ).
tcf(c_534594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,X1,c63(X0,ip(X1,X2,X3,X4,X5),X6))
| s_t(X5,c63(X0,ip(X1,X2,X3,X4,X5),X6),X1)
| ( ip(X1,X2,X3,X4,X5) = X6 )
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X6,ip(X1,X2,X3,X4,X5),X5)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_534516,c_480601]) ).
tcf(c_534595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X1,X2,X3,X4,X5,X6),X3,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7),X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X7 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X7,crossbar(X1,X2,X3,X4,X5,X6),X6)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_534516,c_480651]) ).
tcf(c_534596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,X3,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7))
| s_t(X6,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7),X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X7 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X7,crossbar(X1,X2,X3,X4,X5,X6),X6)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_534516,c_480604]) ).
tcf(c_534597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,X1,c63(X7,X1,X0))
| ( X0 = X1 )
| ( crossbar(X2,X3,X1,X4,X5,X6) = X1 )
| ~ sameside(X7,X1,X0)
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X3,X1)
| ~ sameside(X0,X1,crossbar(X2,X3,X1,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_534516,c_480258]) ).
tcf(c_534598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,crossbar(X2,X3,X1,X4,X5,X6),c63(X7,X1,X0))
| ( X0 = X1 )
| ( crossbar(X2,X3,X1,X4,X5,X6) = X1 )
| ~ sameside(X7,X1,X0)
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X3,X1)
| ~ sameside(X0,X1,crossbar(X2,X3,X1,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_534516,c_480255]) ).
tcf(c_534599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X7),X1)
| ( X0 = X1 )
| ( crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X7) = X1 )
| ~ sameside(X4,X1,X0)
| ~ s_t(X2,X7,X5)
| ~ s_t(X5,X6,c63(X4,X1,X0))
| ~ s_t(X2,X3,c63(X4,X1,X0))
| ~ sameside(X0,X1,crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_534516,c_480260]) ).
tcf(c_534600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,X1,c63(X4,X1,X0))
| ( X0 = X1 )
| ( crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X7) = X1 )
| ~ sameside(X4,X1,X0)
| ~ s_t(X2,X7,X5)
| ~ s_t(X5,X6,c63(X4,X1,X0))
| ~ s_t(X2,X3,c63(X4,X1,X0))
| ~ sameside(X0,X1,crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_534516,c_480257]) ).
tcf(c_534601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X0 = X1 )
| ( crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X1) = X1 )
| ~ sameside(X4,X1,X0)
| ~ s_t(X2,X1,X5)
| ~ s_t(X5,X6,c63(X4,X1,X0))
| ~ s_t(X2,X3,c63(X4,X1,X0))
| ~ sameside(X0,X1,crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X1)) ),
inference(superposition,[status(thm)],[c_534516,c_480261]) ).
tcf(c_534602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X1,X2,X3,X4,X5,X6),X5,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7),X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X7 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X7,crossbar(X1,X2,X3,X4,X5,X6),X2)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_534516,c_480652]) ).
tcf(c_534603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X5,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7))
| s_t(X2,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X7),X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X7 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X7,crossbar(X1,X2,X3,X4,X5,X6),X2)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X7) ),
inference(superposition,[status(thm)],[c_534516,c_480605]) ).
tcf(c_534604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X1,c63(X7,X1,X0))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,X1,X6) = X1 )
| ~ sameside(X7,X1,X0)
| ~ s_t(X5,X1,X4)
| ~ s_t(X2,X6,X5)
| ~ s_t(X2,X3,X4)
| ~ sameside(X0,X1,crossbar(X2,X3,X4,X5,X1,X6)) ),
inference(superposition,[status(thm)],[c_534516,c_480320]) ).
tcf(c_534605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,crossbar(X2,X3,X4,X5,X1,X6),c63(X7,X1,X0))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,X1,X6) = X1 )
| ~ sameside(X7,X1,X0)
| ~ s_t(X5,X1,X4)
| ~ s_t(X2,X6,X5)
| ~ s_t(X2,X3,X4)
| ~ sameside(X0,X1,crossbar(X2,X3,X4,X5,X1,X6)) ),
inference(superposition,[status(thm)],[c_534516,c_480317]) ).
tcf(c_534606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,crossbar(X2,X3,X4,X5,c63(X6,X1,X0),X7),X1)
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,c63(X6,X1,X0),X7) = X1 )
| ~ sameside(X6,X1,X0)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X5,c63(X6,X1,X0),X4)
| ~ sameside(X0,X1,crossbar(X2,X3,X4,X5,c63(X6,X1,X0),X7)) ),
inference(superposition,[status(thm)],[c_534516,c_480322]) ).
tcf(c_534607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X1,c63(X6,X1,X0))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,c63(X6,X1,X0),X7) = X1 )
| ~ sameside(X6,X1,X0)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X5,c63(X6,X1,X0),X4)
| ~ sameside(X0,X1,crossbar(X2,X3,X4,X5,c63(X6,X1,X0),X7)) ),
inference(superposition,[status(thm)],[c_534516,c_480319]) ).
tcf(c_534608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X0 = X1 )
| ( crossbar(X2,X1,X3,X4,c63(X5,X1,X0),X6) = X1 )
| ~ sameside(X5,X1,X0)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X1,X3)
| ~ s_t(X4,c63(X5,X1,X0),X3)
| ~ sameside(X0,X1,crossbar(X2,X1,X3,X4,c63(X5,X1,X0),X6)) ),
inference(superposition,[status(thm)],[c_534516,c_480323]) ).
tcf(c_535259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,ip(X5,X2,X4,c63(X0,X1,X2),X3))
| s_t(X2,ip(X5,X2,X4,c63(X0,X1,X2),X3),X1)
| ~ sameside(X0,X1,X2)
| ~ s_t(X5,X2,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_56,c_481146]) ).
tcf(c_535260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,ip(c63(X0,X1,X2),X3,X4,X5,X2))
| s_t(X2,ip(c63(X0,X1,X2),X3,X4,X5,X2),X1)
| ~ sameside(X0,X1,X2)
| ~ s_t(X5,X2,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_57,c_481146]) ).
tcf(c_535261,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,c63(X0,X1,X2))
| s_t(X2,c63(X0,X1,X2),X1)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_481146]) ).
tcf(c_535262,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X2,X1)
| s_t(X2,X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_74,c_481146]) ).
tcf(c_535263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X3,crossbar(X0,X1,c63(X2,X3,X4),X5,X6,X4))
| s_t(X4,crossbar(X0,X1,c63(X2,X3,X4),X5,X6,X4),X3)
| ~ sameside(X2,X3,X4)
| ~ s_t(X0,X4,X5)
| ~ s_t(X5,X6,c63(X2,X3,X4))
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_87,c_481146]) ).
tcf(c_535264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X2,crossbar(X5,X3,X4,X0,c63(X1,X2,X3),X6))
| s_t(X3,crossbar(X5,X3,X4,X0,c63(X1,X2,X3),X6),X2)
| ~ sameside(X1,X2,X3)
| ~ s_t(X5,X6,X0)
| ~ s_t(X5,X3,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_88,c_481146]) ).
tcf(c_535266,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,X1)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_130,c_481146]) ).
tcf(c_535267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X4,ext(ext(c63(X3,X4,X2),X2,alpha,gamma),X2,X0,X1))
| s_t(X2,ext(ext(c63(X3,X4,X2),X2,alpha,gamma),X2,X0,X1),X4)
| ~ sameside(X3,X4,X2)
| ~ le(X0,X1,X2,c63(X3,X4,X2)) ),
inference(superposition,[status(thm)],[c_231,c_481146]) ).
tcf(c_535268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X3,ins(X4,X5,X0,X1))
| s_t(X0,ins(X4,X5,X0,X1),X3)
| s_t(X0,c63(X2,X3,X0),ins(X4,X5,X0,X1))
| ( X0 = X1 )
| ~ sameside(X2,X3,X0)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_480739,c_481146]) ).
tcf(c_535269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X3,ins(X4,X5,X0,X1))
| s_t(X1,ins(X4,X5,X0,X1),X3)
| s_t(X1,c63(X2,X3,X1),ins(X4,X5,X0,X1))
| ( X0 = X1 )
| ~ sameside(X2,X3,X1)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X3,X1)) ),
inference(superposition,[status(thm)],[c_480738,c_481146]) ).
tcf(c_535270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X2,ip(X4,X0,X5,X3,X6))
| s_t(X0,ip(X4,X0,X5,X3,X6),X2)
| s_t(X0,c63(X1,X2,X0),ip(X4,X0,X5,X3,X6))
| ~ sameside(X1,X2,X0)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X6,X5)
| ~ s_t(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_480702,c_481146]) ).
tcf(c_535271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X3,ip(X4,X0,X5,X1,X6))
| s_t(X0,ip(X4,X0,X5,X1,X6),X3)
| ~ sameside(X2,X3,X0)
| ~ s_t(X4,X0,X5)
| ~ s_t(X1,X6,X5)
| ~ s_t(X0,X1,c63(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_480205,c_481146]) ).
tcf(c_535272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X4,X0,X5,X1,X6),X3,X1)
| s_t(ip(X4,X0,X5,X1,X6),X1,X3)
| ~ s_t(X4,X0,X5)
| ~ s_t(X1,X6,X5)
| ~ sameside(X2,X3,ip(X4,X0,X5,X1,X6))
| ~ s_t(X0,X1,c63(X2,X3,ip(X4,X0,X5,X1,X6))) ),
inference(superposition,[status(thm)],[c_480135,c_481146]) ).
tcf(c_535273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,ip(X0,c63(X1,X2,X3),X4,X3,X5))
| s_t(X3,ip(X0,c63(X1,X2,X3),X4,X3,X5),X2)
| ~ sameside(X1,X2,X3)
| ~ s_t(X3,X5,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480074,c_481146]) ).
tcf(c_535274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X2,ip(X3,X4,X5,X6,X0))
| s_t(X0,ip(X3,X4,X5,X6,X0),X2)
| s_t(X0,c63(X1,X2,X0),ip(X3,X4,X5,X6,X0))
| ~ sameside(X1,X2,X0)
| ~ s_t(X6,X0,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_480703,c_481146]) ).
tcf(c_535275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X3,ip(X1,X4,X5,X6,X0))
| s_t(X0,ip(X1,X4,X5,X6,X0),X3)
| ~ sameside(X2,X3,X0)
| ~ s_t(X6,X0,X5)
| ~ s_t(X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_480206,c_481146]) ).
tcf(c_535276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X1,X4,X5,X6,X0),X3,X1)
| s_t(ip(X1,X4,X5,X6,X0),X1,X3)
| ~ s_t(X6,X0,X5)
| ~ s_t(X1,X4,X5)
| ~ sameside(X2,X3,ip(X1,X4,X5,X6,X0))
| ~ s_t(X0,X1,c63(X2,X3,ip(X1,X4,X5,X6,X0))) ),
inference(superposition,[status(thm)],[c_480136,c_481146]) ).
tcf(c_535277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,ip(X3,X5,X4,X0,c63(X1,X2,X3)))
| s_t(X3,ip(X3,X5,X4,X0,c63(X1,X2,X3)),X2)
| ~ sameside(X1,X2,X3)
| ~ s_t(X3,X5,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480075,c_481146]) ).
tcf(c_535278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X3,ext(X0,X1,X4,X5))
| s_t(X0,ext(X0,X1,X4,X5),X3)
| s_t(X0,c63(X2,X3,X0),ext(X0,X1,X4,X5))
| ( X0 = X1 )
| ~ sameside(X2,X3,X0)
| ~ s_t(X0,X1,c63(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_480599,c_481146]) ).
tcf(c_535279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X3,c63(X0,X1,X4))
| s_t(X0,c63(X0,X1,X4),X3)
| s_t(X0,c63(X2,X3,X0),c63(X0,X1,X4))
| ( X0 = X1 )
| ~ sameside(X2,X3,X0)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_481087,c_481146]) ).
tcf(c_535281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X3,ext(X0,X1,X4,X5))
| s_t(X1,ext(X0,X1,X4,X5),X3)
| s_t(X1,c63(X2,X3,X1),ext(X0,X1,X4,X5))
| ( X0 = X1 )
| ~ sameside(X2,X3,X1)
| ~ s_t(X0,X1,c63(X2,X3,X1)) ),
inference(superposition,[status(thm)],[c_480646,c_481146]) ).
tcf(c_535282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,c63(X0,X1,X4))
| s_t(X1,c63(X0,X1,X4),X3)
| s_t(X1,c63(X2,X3,X1),c63(X0,X1,X4))
| ( X0 = X1 )
| ~ sameside(X2,X3,X1)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X2,X3,X1)) ),
inference(superposition,[status(thm)],[c_481086,c_481146]) ).
tcf(c_535284,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,X1)
| ( X1 = X2 )
| ~ sameside(X2,X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_534516,c_481146]) ).
tcf(c_535285,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,X1)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_528230,c_481146]) ).
tcf(c_535286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X1,ext(ext(c63(X0,X1,X2),X2,alpha,gamma),X2,c63(X0,X1,X2),X3))
| s_t(X2,ext(ext(c63(X0,X1,X2),X2,alpha,gamma),X2,c63(X0,X1,X2),X3),X1)
| ~ sameside(X0,X1,X2)
| ~ s_t(c63(X0,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_480406,c_481146]) ).
tcf(c_535287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X3,ext(ext(c63(X2,X3,X0),X0,alpha,gamma),X0,X0,X1))
| s_t(X0,ext(ext(c63(X2,X3,X0),X0,alpha,gamma),X0,X0,X1),X3)
| ~ sameside(X2,X3,X0)
| ~ s_t(X0,X1,c63(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_480408,c_481146]) ).
tcf(c_535288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X2,crossbar(X4,X5,X3,X6,X7,X0))
| s_t(X0,crossbar(X4,X5,X3,X6,X7,X0),X2)
| s_t(X0,c63(X1,X2,X0),crossbar(X4,X5,X3,X6,X7,X0))
| ~ sameside(X1,X2,X0)
| ~ s_t(X6,X7,X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_480706,c_481146]) ).
tcf(c_535289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X3,crossbar(X4,X5,X1,X6,X7,X0))
| s_t(X0,crossbar(X4,X5,X1,X6,X7,X0),X3)
| ~ sameside(X2,X3,X0)
| ~ s_t(X6,X7,X1)
| ~ s_t(X4,X5,X1)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,X1,c63(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_480256,c_481146]) ).
tcf(c_535290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X4,X5,X1,X6,X7,X0),X3,X1)
| s_t(crossbar(X4,X5,X1,X6,X7,X0),X1,X3)
| ~ s_t(X6,X7,X1)
| ~ s_t(X4,X5,X1)
| ~ s_t(X4,X0,X6)
| ~ sameside(X2,X3,crossbar(X4,X5,X1,X6,X7,X0))
| ~ s_t(X0,X1,c63(X2,X3,crossbar(X4,X5,X1,X6,X7,X0))) ),
inference(superposition,[status(thm)],[c_480259,c_481146]) ).
tcf(c_535291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X2,crossbar(X0,X5,X3,X4,X6,c63(X1,X2,X3)))
| s_t(X3,crossbar(X0,X5,X3,X4,X6,c63(X1,X2,X3)),X2)
| ~ sameside(X1,X2,X3)
| ~ s_t(X4,X6,X3)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480262,c_481146]) ).
tcf(c_535292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X3,crossbar(X4,X0,X5,X7,X1,X6))
| s_t(X0,crossbar(X4,X0,X5,X7,X1,X6),X3)
| ~ sameside(X2,X3,X0)
| ~ s_t(X7,X1,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,X1,c63(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_480318,c_481146]) ).
tcf(c_535293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X4,X0,X5,X6,X1,X7),X3,X1)
| s_t(crossbar(X4,X0,X5,X6,X1,X7),X1,X3)
| ~ s_t(X6,X1,X5)
| ~ s_t(X4,X7,X6)
| ~ s_t(X4,X0,X5)
| ~ sameside(X2,X3,crossbar(X4,X0,X5,X6,X1,X7))
| ~ s_t(X0,X1,c63(X2,X3,crossbar(X4,X0,X5,X6,X1,X7))) ),
inference(superposition,[status(thm)],[c_480321,c_481146]) ).
tcf(c_535294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X2,crossbar(X4,X0,X5,X7,X3,X6))
| s_t(X0,crossbar(X4,X0,X5,X7,X3,X6),X2)
| s_t(X0,c63(X1,X2,X0),crossbar(X4,X0,X5,X7,X3,X6))
| ~ sameside(X1,X2,X0)
| ~ s_t(X7,X3,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_480707,c_481146]) ).
tcf(c_535295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X2,crossbar(X0,c63(X1,X2,X3),X4,X6,X3,X5))
| s_t(X3,crossbar(X0,c63(X1,X2,X3),X4,X6,X3,X5),X2)
| ~ sameside(X1,X2,X3)
| ~ s_t(X6,X3,X4)
| ~ s_t(X0,X5,X6)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480324,c_481146]) ).
tcf(c_535554,plain,
! [X0: $i,X1: $i] :
( ( s(X1,s(X0,X1)) = X0 )
| ( s(X1,s(X0,X1)) = s(X0,X1) )
| ~ s_r(s(X0,X1),s(X1,s(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_522349,c_187]) ).
tcf(c_535555,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,s(X1,X0),X2)
| ( s(X0,s(X1,X0)) = s(X1,X0) )
| ~ s_r(s(X0,s(X1,X0)),s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_522349,c_181]) ).
tcf(c_535556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X0 = X2 )
| ( s(X1,s(X0,X1)) = s(X0,X1) )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X0)
| ~ s_col(s(X0,X1),s(X1,s(X0,X1)),X3)
| ~ s_col(s(X0,X1),s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_522349,c_152]) ).
tcf(c_535557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X2,X3)
| ( X0 = X2 )
| ( s(X1,s(X0,X1)) = s(X0,X1) )
| ~ s_col(s(X0,X1),s(X1,s(X0,X1)),X3)
| ~ s_col(s(X0,X1),s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_522349,c_151]) ).
tcf(c_535558,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X0,X2)
| ( s(X0,X1) = X0 )
| ( s(X1,s(X0,X1)) = s(X0,X1) )
| ~ s_col(s(X0,X1),s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_522349,c_148]) ).
tcf(c_535559,plain,
! [X0: $i,X1: $i] :
( sameside(s(X0,X1),s(X1,s(X0,X1)),X0)
| s_t(s(X0,X1),s(X1,s(X0,X1)),X0) ),
inference(superposition,[status(thm)],[c_522349,c_134]) ).
tcf(c_535565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(s(X0,X1),s(X1,s(X0,X1)),X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X0 = X2 )
| ( s(X1,s(X0,X1)) = s(X0,X1) )
| ~ s_r(X0,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(s(X0,X1),s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_522349,c_200]) ).
tcf(c_535601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,ext(s(X0,X1),X1,X2,X3),s(X0,X1)),
inference(superposition,[status(thm)],[c_161,c_523153]) ).
tcf(c_535602,plain,
! [X0: $i,X1: $i,X2: $i] : s_col(X0,ext(X0,X0,X1,X2),X0),
inference(superposition,[status(thm)],[c_165,c_523153]) ).
tcf(c_535604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X1,s(X0,X1),X2,X3) = X1 )
| ( ext(X1,s(X0,X1),X2,X3) = X0 )
| ~ s_r(X0,ext(X1,s(X0,X1),X2,X3),X1) ),
inference(superposition,[status(thm)],[c_523153,c_187]) ).
tcf(c_535605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X0,X1,X4)
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ~ s_r(ext(X0,s(X1,X0),X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_523153,c_181]) ).
tcf(c_535606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X6,X7,X5)
| ( X6 = X7 )
| ( X1 = X4 )
| ( ext(X1,s(X0,X1),X2,X3) = X0 )
| ~ s_col(X6,X7,X4)
| ~ s_col(X6,X7,X1)
| ~ s_col(X0,ext(X1,s(X0,X1),X2,X3),X5)
| ~ s_col(X0,ext(X1,s(X0,X1),X2,X3),X4) ),
inference(superposition,[status(thm)],[c_523153,c_152]) ).
tcf(c_535607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X1,X4,X5)
| ( X1 = X4 )
| ( ext(X1,s(X0,X1),X2,X3) = X0 )
| ~ s_col(X0,ext(X1,s(X0,X1),X2,X3),X5)
| ~ s_col(X0,ext(X1,s(X0,X1),X2,X3),X4) ),
inference(superposition,[status(thm)],[c_523153,c_151]) ).
tcf(c_535608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( ext(X1,s(X0,X1),X2,X3) = X0 )
| ~ s_col(X0,ext(X1,s(X0,X1),X2,X3),X4) ),
inference(superposition,[status(thm)],[c_523153,c_148]) ).
tcf(c_535609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,ext(X1,s(X0,X1),X2,X3),X1)
| s_t(X0,ext(X1,s(X0,X1),X2,X3),X1) ),
inference(superposition,[status(thm)],[c_523153,c_134]) ).
tcf(c_535610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,X1,ext(X1,s(X0,X1),X2,X3)),
inference(superposition,[status(thm)],[c_523153,c_98]) ).
tcf(c_535611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(ext(X0,s(X1,X0),X2,X3),X1,X0),
inference(superposition,[status(thm)],[c_523153,c_97]) ).
tcf(c_535612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,ext(X0,s(X1,X0),X2,X3),X1),
inference(superposition,[status(thm)],[c_523153,c_96]) ).
tcf(c_535615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(X0,ext(X1,s(X0,X1),X2,X3),X4,X5,X6)
| ( X5 = X6 )
| ( X4 = X7 )
| ( X1 = X4 )
| ( ext(X1,s(X0,X1),X2,X3) = X0 )
| ~ s_r(X1,X4,X7)
| ~ s_col(X5,X6,X7)
| ~ s_col(X5,X6,X4)
| ~ s_col(X0,ext(X1,s(X0,X1),X2,X3),X4) ),
inference(superposition,[status(thm)],[c_523153,c_200]) ).
tcf(c_535745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,c63(X2,X3,X4),X1)
| ( X3 = X4 )
| ( crossbar(X3,X1,c63(X2,X3,X4),X0,X1,X5) = X1 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X4,X3,X1)
| ~ s_t(X3,X5,X0)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481147,c_480316]) ).
tcf(c_535746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,c63(X1,X0,X2),X5)
| ( X0 = X2 )
| ( crossbar(X0,X5,c63(X1,X0,X2),X3,X4,c63(X1,X0,X2)) = c63(X1,X0,X2) )
| ~ sameside(X1,X0,X2)
| ~ s_t(X2,X0,X5)
| ~ s_t(X3,X4,c63(X1,X0,X2))
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_481147,c_480254]) ).
tcf(c_535747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,c63(X3,X1,X0),X2)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X1,X2,X2,c63(X3,X1,X0)) = c63(X3,X1,X0) )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_480013]) ).
tcf(c_535748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,c63(X3,X1,X0),X2)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X1,X2,c63(X3,X1,X0),X2) = c63(X3,X1,X0) )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_480011]) ).
tcf(c_535749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X2,X1,X3),X4)
| ( X1 = X3 )
| ( ip(X1,X4,c63(X2,X1,X3),X0,X1) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X3,X1,X4)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481147,c_479924]) ).
tcf(c_535750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,c63(X2,X3,X4),X0)
| ( X3 = X4 )
| ( ip(X3,X0,c63(X2,X3,X4),X0,X1) = X0 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X4,X3,X0)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481147,c_479914]) ).
tcf(c_535751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(c63(X3,X1,X0),X1,X2)
| s_t(X1,c63(X3,X1,X0),X2)
| ( X1 = X2 )
| ( X0 = X1 )
| ( c63(X3,X1,X0) = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_238]) ).
tcf(c_535752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X2,X1,c63(X3,X1,X0))
| s_t(X1,c63(X3,X1,X0),X2)
| ( X1 = xb )
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_237]) ).
tcf(c_535753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X2,c63(X3,X1,X0),X1)
| s_t(X1,c63(X3,X1,X0),X2)
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_225]) ).
tcf(c_535754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(c63(X3,X1,X0),X1,X2)
| s_t(X1,c63(X3,X1,X0),X2)
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_224]) ).
tcf(c_535755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,c63(X3,X1,X0))
| s_t(X1,c63(X3,X1,X0),X2)
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_223]) ).
tcf(c_535756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X0,X1,X2),X4)
| ( X3 = X4 )
| ( X1 = X2 )
| ~ s_r(X1,X3,X4)
| ~ sameside(X0,X1,X2)
| ~ s_t(X2,X1,X4)
| ~ s_r(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481147,c_184]) ).
tcf(c_535757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X0,c63(X2,X3,X4))
| s_t(X3,c63(X2,X3,X4),X1)
| s_t(X0,X3,c63(X2,X3,X4))
| ( X3 = X4 )
| ( c63(X2,X3,X4) = X1 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X4,X3,X1)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481147,c_147]) ).
tcf(c_535758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X3)
| s_t(X3,c63(X2,X3,X4),X1)
| ( X3 = X4 )
| ( X1 = X3 )
| ( c63(X2,X3,X4) = X1 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X4,X3,X1)
| ~ sameside(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481147,c_145]) ).
tcf(c_535759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X3,X2,X1)
| sameside(X3,X2,c63(X4,X1,X0))
| s_t(X1,c63(X4,X1,X0),X2)
| ( X2 = X3 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( c63(X4,X1,X0) = X2 )
| ~ sameside(X4,X1,X0)
| ~ s_col(X3,X2,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_143]) ).
tcf(c_535760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,c63(X2,X0,X3),X1)
| ( X0 = X3 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X3,X0,X1)
| ~ sameside(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481147,c_133]) ).
tcf(c_535761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X3,X1,X0)
| s_t(X3,c63(X2,X3,X4),X1)
| ( X3 = X4 )
| ( X1 = X3 )
| ( X0 = X1 )
| ( c63(X2,X3,X4) = X1 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X4,X3,X1)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481147,c_131]) ).
tcf(c_535762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X2,c63(X4,X1,X0))
| s_t(X1,c63(X4,X1,X0),X2)
| ( X2 = X3 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( c63(X4,X1,X0) = X2 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_125]) ).
tcf(c_535763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,X1)
| s_t(X0,X1,X4)
| s_t(X0,c63(X2,X0,X3),X4)
| ( X0 = X3 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X3,X0,X4)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481147,c_109]) ).
tcf(c_535764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X3,c63(X4,X1,X0))
| s_t(X2,c63(X4,X1,X0),X3)
| s_t(X1,c63(X4,X1,X0),X2)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_108]) ).
tcf(c_535765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,c63(X4,X1,X0))
| s_t(X1,c63(X4,X1,X0),X3)
| s_t(X1,c63(X4,X1,X0),X2)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_107]) ).
tcf(c_535766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,X4)
| s_t(X2,c63(X1,X2,X3),X0)
| ( X2 = X3 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X3,X2,X0)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481147,c_81]) ).
tcf(c_535767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,X3)
| s_t(X0,c63(X1,X0,X2),X4)
| ( X0 = X2 )
| ~ sameside(X1,X0,X2)
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_481147,c_80]) ).
tcf(c_535768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X1,c63(X2,X3,X4))
| s_t(X3,c63(X2,X3,X4),X0)
| ( X3 = X4 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X4,X3,X0)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481147,c_79]) ).
tcf(c_535769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X1,X2,X3),X4)
| s_t(X2,c63(X1,X2,X3),X0)
| ( X2 = X3 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X3,X2,X0)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481147,c_78]) ).
tcf(c_535770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,c63(X1,X0,X2),X3)
| s_t(X0,c63(X1,X0,X2),X4)
| ( X0 = X2 )
| ~ sameside(X1,X0,X2)
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_481147,c_77]) ).
tcf(c_535771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X0,X1)
| s_t(X3,c63(X2,X3,X4),X0)
| ( X3 = X4 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X4,X3,X0)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481147,c_76]) ).
tcf(c_535772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,c63(X2,X1,X3),X0)
| ( X1 = X3 )
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X3,X1,X0)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481147,c_75]) ).
tcf(c_535773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,c63(X3,X1,X0),X2)
| s_t(c63(X3,X1,X0),X2,X1)
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_73]) ).
tcf(c_535774,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,c63(X2,X1,X0),X2)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_481094]) ).
tcf(c_535775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X1,X2)
| s_t(X1,c63(X3,X1,X0),X2)
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_481093]) ).
tcf(c_535776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X2,c63(X3,X1,X0))
| s_t(X1,c63(X3,X1,X0),X2)
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_481090]) ).
tcf(c_535777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,c63(X5,X1,X0))
| s_t(X1,c63(X5,X1,X0),ext(X1,X2,X3,X4))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ s_t(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481147,c_480204]) ).
tcf(c_535778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ext(X1,X2,X3,X4),c63(X5,X1,X0))
| s_t(X1,c63(X5,X1,X0),ext(X1,X2,X3,X4))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ s_t(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481147,c_480134]) ).
tcf(c_535779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X1,X2,X3),c63(X4,X1,X0))
| s_t(X1,c63(X4,X1,X0),c63(X1,X2,X3))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X1,X2,X3)
| ~ s_t(X0,X1,c63(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_481147,c_481092]) ).
tcf(c_535780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,c63(X4,X1,X0))
| s_t(X1,c63(X4,X1,X0),c63(X1,X2,X3))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X1,X2,X3)
| ~ s_t(X0,X1,c63(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_481147,c_481089]) ).
tcf(c_535781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X2,c63(X3,X1,X0))
| s_t(X1,c63(X3,X1,X0),s(X2,X1))
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,s(X2,X1)) ),
inference(superposition,[status(thm)],[c_481147,c_485960]) ).
tcf(c_535782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ins(X2,X3,X1,X4),c63(X5,X1,X0))
| s_t(X1,c63(X5,X1,X0),ins(X2,X3,X1,X4))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_481147,c_480744]) ).
tcf(c_535783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X4,c63(X5,X1,X0))
| s_t(X1,c63(X5,X1,X0),ins(X2,X3,X1,X4))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_481147,c_480741]) ).
tcf(c_535784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,c63(X5,X1,X0))
| s_t(X1,c63(X5,X1,X0),ext(X2,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X5,X1,X0)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481147,c_480227]) ).
tcf(c_535785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ext(X2,X1,X3,X4),c63(X5,X1,X0))
| s_t(X1,c63(X5,X1,X0),ext(X2,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X5,X1,X0)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481147,c_480157]) ).
tcf(c_535786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ins(X2,X3,X4,X1),c63(X5,X1,X0))
| s_t(X1,c63(X5,X1,X0),ins(X2,X3,X4,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X4,X1) = X1 )
| ~ sameside(X5,X1,X0)
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_481147,c_480743]) ).
tcf(c_535787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X1,c63(X5,X1,X0))
| s_t(X1,c63(X5,X1,X0),ins(X2,X3,X4,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X4,X1) = X1 )
| ~ sameside(X5,X1,X0)
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_481147,c_480740]) ).
tcf(c_535788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X2,X1,X3),c63(X4,X1,X0))
| s_t(X1,c63(X4,X1,X0),c63(X2,X1,X3))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481147,c_532776]) ).
tcf(c_535789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,c63(X4,X1,X0))
| s_t(X1,c63(X4,X1,X0),c63(X2,X1,X3))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481147,c_531999]) ).
tcf(c_535790,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X2,X1)
| s_t(X1,X1,X2)
| s_t(X1,c63(X1,X1,X0),X2)
| ( X0 = X1 )
| ~ sameside(X1,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_481085]) ).
tcf(c_535792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ip(X1,X2,X3,X4,X5),c63(X6,ip(X1,X2,X3,X4,X5),X0))
| s_t(ip(X1,X2,X3,X4,X5),c63(X6,ip(X1,X2,X3,X4,X5),X0),X4)
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X6,ip(X1,X2,X3,X4,X5),X0)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_481147,c_480228]) ).
tcf(c_535793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X4,c63(X6,ip(X1,X2,X3,X4,X5),X0))
| s_t(ip(X1,X2,X3,X4,X5),c63(X6,ip(X1,X2,X3,X4,X5),X0),X4)
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X6,ip(X1,X2,X3,X4,X5),X0)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_481147,c_480158]) ).
tcf(c_535794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X5),c63(X6,ip(X1,X2,X3,X4,X5),X0))
| s_t(ip(X1,X2,X3,X4,X5),c63(X6,ip(X1,X2,X3,X4,X5),X0),X1)
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X6,ip(X1,X2,X3,X4,X5),X0)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_481147,c_480229]) ).
tcf(c_535795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,X1,c63(X6,ip(X1,X2,X3,X4,X5),X0))
| s_t(ip(X1,X2,X3,X4,X5),c63(X6,ip(X1,X2,X3,X4,X5),X0),X1)
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X6,ip(X1,X2,X3,X4,X5),X0)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_481147,c_480159]) ).
tcf(c_535796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,c63(X6,X1,X0),ip(X2,X1,X3,X4,X5))
| s_t(ip(X2,X1,X3,X4,X5),X4,c63(X6,X1,X0))
| s_t(ip(X2,X1,X3,X4,X5),c63(X6,X1,X0),X4)
| ( X0 = X1 )
| ( ip(X2,X1,X3,X4,X5) = X1 )
| ~ sameside(X6,X1,X0)
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,ip(X2,X1,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_481147,c_480647]) ).
tcf(c_535797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X4,c63(X6,X1,X0))
| s_t(X1,c63(X6,X1,X0),X4)
| s_t(X1,c63(X6,X1,X0),ip(X2,X1,X3,X4,X5))
| ( X0 = X1 )
| ( ip(X2,X1,X3,X4,X5) = X1 )
| ~ sameside(X6,X1,X0)
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,ip(X2,X1,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_481147,c_480600]) ).
tcf(c_535798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,c63(X6,X1,X0),ip(X2,X3,X4,X5,X1))
| s_t(ip(X2,X3,X4,X5,X1),X2,c63(X6,X1,X0))
| s_t(ip(X2,X3,X4,X5,X1),c63(X6,X1,X0),X2)
| ( X0 = X1 )
| ( ip(X2,X3,X4,X5,X1) = X1 )
| ~ sameside(X6,X1,X0)
| ~ s_t(X5,X1,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X1)) ),
inference(superposition,[status(thm)],[c_481147,c_480648]) ).
tcf(c_535799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X2,c63(X6,X1,X0))
| s_t(X1,c63(X6,X1,X0),X2)
| s_t(X1,c63(X6,X1,X0),ip(X2,X3,X4,X5,X1))
| ( X0 = X1 )
| ( ip(X2,X3,X4,X5,X1) = X1 )
| ~ sameside(X6,X1,X0)
| ~ s_t(X5,X1,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X1)) ),
inference(superposition,[status(thm)],[c_481147,c_480601]) ).
tcf(c_535800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,c63(X7,X1,X0),crossbar(X2,X3,X4,X5,X6,X1))
| s_t(crossbar(X2,X3,X4,X5,X6,X1),X4,c63(X7,X1,X0))
| s_t(crossbar(X2,X3,X4,X5,X6,X1),c63(X7,X1,X0),X4)
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,X6,X1) = X1 )
| ~ sameside(X7,X1,X0)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X1,X5)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X1)) ),
inference(superposition,[status(thm)],[c_481147,c_480651]) ).
tcf(c_535801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X4,c63(X7,X1,X0))
| s_t(X1,c63(X7,X1,X0),X4)
| s_t(X1,c63(X7,X1,X0),crossbar(X2,X3,X4,X5,X6,X1))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,X6,X1) = X1 )
| ~ sameside(X7,X1,X0)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X1,X5)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X1)) ),
inference(superposition,[status(thm)],[c_481147,c_480604]) ).
tcf(c_535802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,X3,c63(X7,crossbar(X1,X2,X3,X4,X5,X6),X0))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),c63(X7,crossbar(X1,X2,X3,X4,X5,X6),X0),X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X7,crossbar(X1,X2,X3,X4,X5,X6),X0)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_481147,c_480258]) ).
tcf(c_535803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,crossbar(X1,X2,X3,X4,X5,X6),c63(X7,crossbar(X1,X2,X3,X4,X5,X6),X0))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),c63(X7,crossbar(X1,X2,X3,X4,X5,X6),X0),X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X7,crossbar(X1,X2,X3,X4,X5,X6),X0)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_481147,c_480255]) ).
tcf(c_535804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,c63(X7,X1,X0),crossbar(X2,X1,X3,X4,X5,X6))
| s_t(crossbar(X2,X1,X3,X4,X5,X6),X5,c63(X7,X1,X0))
| s_t(crossbar(X2,X1,X3,X4,X5,X6),c63(X7,X1,X0),X5)
| ( X0 = X1 )
| ( crossbar(X2,X1,X3,X4,X5,X6) = X1 )
| ~ sameside(X7,X1,X0)
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,crossbar(X2,X1,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481147,c_480652]) ).
tcf(c_535805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X5,c63(X7,X1,X0))
| s_t(X1,c63(X7,X1,X0),X5)
| s_t(X1,c63(X7,X1,X0),crossbar(X2,X1,X3,X4,X5,X6))
| ( X0 = X1 )
| ( crossbar(X2,X1,X3,X4,X5,X6) = X1 )
| ~ sameside(X7,X1,X0)
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X1,X3)
| ~ s_t(X0,X1,crossbar(X2,X1,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481147,c_480605]) ).
tcf(c_535806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X5,c63(X7,crossbar(X1,X2,X3,X4,X5,X6),X0))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),c63(X7,crossbar(X1,X2,X3,X4,X5,X6),X0),X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X7,crossbar(X1,X2,X3,X4,X5,X6),X0)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_481147,c_480320]) ).
tcf(c_535807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,crossbar(X1,X2,X3,X4,X5,X6),c63(X7,crossbar(X1,X2,X3,X4,X5,X6),X0))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),c63(X7,crossbar(X1,X2,X3,X4,X5,X6),X0),X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X7,crossbar(X1,X2,X3,X4,X5,X6),X0)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_481147,c_480317]) ).
tcf(c_535808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X1,c63(X2,X1,X0))
| s_e(X3,X3,c63(X2,X1,X0),X1)
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481147,c_507196]) ).
tcf(c_535809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X1,c63(X2,X1,X0))
| s_e(X3,X3,X1,c63(X2,X1,X0))
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481147,c_507140]) ).
tcf(c_535810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X1,c63(X2,X1,X0))
| s_t(X3,ext(ext(X3,X3,alpha,gamma),X3,X1,c63(X2,X1,X0)),X3)
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481147,c_480409]) ).
tcf(c_535811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X1,c63(X2,X1,X0))
| le(X1,c63(X2,X1,X0),X3,X3)
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481147,c_480892]) ).
tcf(c_535812,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X1,c63(X2,X1,X0),X1)
| s_t(X1,X1,c63(X2,X1,X0))
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481147,c_486468]) ).
tcf(c_535813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,c63(X2,X1,X0),X1)
| s_t(X1,X1,c63(X2,X1,X0))
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481147,c_480184]) ).
tcf(c_535814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X1,c63(X2,X1,X0))
| s_t(X1,X1,c63(X2,X1,X0))
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481147,c_480114]) ).
tcf(c_535815,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X1,c63(X2,X1,X0))
| ( X0 = X1 )
| ( c63(X2,X1,X0) = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481147,c_55]) ).
tcf(c_535816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X4,c63(X1,X2,X3))
| ( X2 = X3 )
| ( crossbar(X2,c63(X1,X2,X3),X4,X0,c63(X1,X2,X3),X5) = c63(X1,X2,X3) )
| ~ sameside(X1,X2,X3)
| ~ s_t(X3,X2,X4)
| ~ s_t(X2,X5,X0)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481147,c_480316]) ).
tcf(c_535817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,c63(X5,X1,X0))
| ( X0 = X1 )
| ( crossbar(X1,c63(X5,X1,X0),X2,X3,X4,X2) = X2 )
| ~ sameside(X5,X1,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_480254]) ).
tcf(c_535818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X2,c63(X3,X1,X0))
| ( X0 = X1 )
| ( c63(X3,X1,X0) = X1 )
| ( ext(X1,c63(X3,X1,X0),c63(X3,X1,X0),X2) = X2 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_480013]) ).
tcf(c_535819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X2,c63(X3,X1,X0))
| ( X0 = X1 )
| ( c63(X3,X1,X0) = X1 )
| ( ext(X1,c63(X3,X1,X0),X2,c63(X3,X1,X0)) = X2 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_480011]) ).
tcf(c_535820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,c63(X4,X1,X0))
| ( X0 = X1 )
| ( ip(X1,c63(X4,X1,X0),X2,X3,X1) = X1 )
| ~ sameside(X4,X1,X0)
| ~ s_t(X3,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_479924]) ).
tcf(c_535821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X4,c63(X0,X1,X2))
| ( X1 = X2 )
| ( ip(X1,c63(X0,X1,X2),X4,c63(X0,X1,X2),X3) = c63(X0,X1,X2) )
| ~ sameside(X0,X1,X2)
| ~ s_t(X2,X1,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481147,c_479914]) ).
tcf(c_535822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X2,X1,c63(X3,X1,X0))
| s_t(X1,X2,c63(X3,X1,X0))
| ( X1 = X2 )
| ( X0 = X1 )
| ( c63(X3,X1,X0) = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_238]) ).
tcf(c_535823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(c63(X3,X1,X0),X1,X2)
| s_t(X1,X2,c63(X3,X1,X0))
| ( X1 = xb )
| ( X0 = X1 )
| ( c63(X3,X1,X0) = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_237]) ).
tcf(c_535824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(c63(X3,X1,X0),X2,X1)
| s_t(X1,X2,c63(X3,X1,X0))
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_225]) ).
tcf(c_535825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X2,X1,c63(X3,X1,X0))
| s_t(X1,X2,c63(X3,X1,X0))
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_224]) ).
tcf(c_535826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,c63(X3,X1,X0),X2)
| s_t(X1,X2,c63(X3,X1,X0))
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_223]) ).
tcf(c_535827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,c63(X2,X0,X3))
| ( X0 = X3 )
| ( c63(X2,X0,X3) = X1 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X3,X0,X4)
| ~ s_r(X4,X1,c63(X2,X0,X3))
| ~ s_r(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481147,c_184]) ).
tcf(c_535828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,X4)
| s_t(X0,X2,X4)
| s_t(X2,X4,c63(X1,X2,X3))
| ( X2 = X3 )
| ( c63(X1,X2,X3) = X4 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X3,X2,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481147,c_147]) ).
tcf(c_535829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,c63(X1,X2,X3),X2)
| s_t(X2,X4,c63(X1,X2,X3))
| ( X2 = X3 )
| ( c63(X1,X2,X3) = X4 )
| ( c63(X1,X2,X3) = X2 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X3,X2,X4)
| ~ sameside(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481147,c_145]) ).
tcf(c_535830,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,c63(X1,X2,X3),X4)
| sameside(X0,c63(X1,X2,X3),X2)
| s_t(X2,X4,c63(X1,X2,X3))
| ( X2 = X3 )
| ( c63(X1,X2,X3) = X4 )
| ( c63(X1,X2,X3) = X2 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X3,X2,X4)
| ~ s_col(X0,c63(X1,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_481147,c_143]) ).
tcf(c_535831,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X3,c63(X1,X0,X2))
| ( X0 = X2 )
| ~ sameside(X1,X0,X2)
| ~ s_t(X2,X0,X3)
| ~ sameside(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_481147,c_133]) ).
tcf(c_535832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,c63(X1,X2,X3),X0)
| s_t(X2,X4,c63(X1,X2,X3))
| ( X2 = X3 )
| ( c63(X1,X2,X3) = X4 )
| ( c63(X1,X2,X3) = X2 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X3,X2,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481147,c_131]) ).
tcf(c_535833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,c63(X1,X0,X2),X4)
| s_t(X0,X4,c63(X1,X0,X2))
| ( X0 = X2 )
| ( c63(X1,X0,X2) = X4 )
| ( c63(X1,X0,X2) = X3 )
| ( c63(X1,X0,X2) = X0 )
| ~ sameside(X1,X0,X2)
| ~ s_t(X2,X0,X4)
| ~ sameside(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_481147,c_125]) ).
tcf(c_535834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,c63(X4,X1,X0))
| s_t(X1,X2,c63(X4,X1,X0))
| s_t(X1,c63(X4,X1,X0),X3)
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_109]) ).
tcf(c_535835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,c63(X1,X0,X2))
| s_t(c63(X1,X0,X2),X4,X3)
| s_t(c63(X1,X0,X2),X3,X4)
| ( X0 = X2 )
| ( c63(X1,X0,X2) = X0 )
| ~ sameside(X1,X0,X2)
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_481147,c_108]) ).
tcf(c_535836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,X3)
| s_t(X0,X3,X4)
| s_t(X0,X4,c63(X1,X0,X2))
| ( X0 = X2 )
| ( c63(X1,X0,X2) = X0 )
| ~ sameside(X1,X0,X2)
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_481147,c_107]) ).
tcf(c_535837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,c63(X0,X1,X2))
| s_t(X1,c63(X0,X1,X2),X4)
| ( X1 = X2 )
| ( c63(X0,X1,X2) = X3 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X2,X1,X3)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481147,c_81]) ).
tcf(c_535838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,c63(X4,X1,X0))
| s_t(X1,c63(X4,X1,X0),X3)
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_80]) ).
tcf(c_535839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,X4)
| s_t(X1,X4,c63(X0,X1,X2))
| ( X1 = X2 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X2,X1,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481147,c_79]) ).
tcf(c_535840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,X4)
| s_t(X1,X3,c63(X0,X1,X2))
| ( X1 = X2 )
| ( c63(X0,X1,X2) = X3 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X2,X1,X3)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481147,c_78]) ).
tcf(c_535841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,c63(X4,X1,X0))
| s_t(c63(X4,X1,X0),X2,X3)
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_77]) ).
tcf(c_535842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X4,c63(X0,X1,X2))
| s_t(X1,c63(X0,X1,X2),X3)
| ( X1 = X2 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X2,X1,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481147,c_76]) ).
tcf(c_535843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X3,c63(X0,X1,X2))
| ( X1 = X2 )
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X2,X1,X3)
| ~ s_t(c63(X0,X1,X2),X1,X3) ),
inference(superposition,[status(thm)],[c_481147,c_75]) ).
tcf(c_535844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,c63(X3,X1,X0),X1)
| s_t(X1,X2,c63(X3,X1,X0))
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_73]) ).
tcf(c_535845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(c63(X2,X1,X0),X1,X3,X4),c63(X2,X1,X0))
| ( X0 = X1 )
| ( c63(X2,X1,X0) = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,ext(c63(X2,X1,X0),X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481147,c_480090]) ).
tcf(c_535846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,c63(c63(X2,X1,X0),X1,X3),c63(X2,X1,X0))
| ( X0 = X1 )
| ( c63(X2,X1,X0) = X1 )
| ~ sameside(X2,X1,X0)
| ~ sameside(c63(X2,X1,X0),X1,X3)
| ~ s_t(X0,X1,c63(c63(X2,X1,X0),X1,X3)) ),
inference(superposition,[status(thm)],[c_481147,c_481094]) ).
tcf(c_535847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,c63(X5,X1,X0),X3,X4)
| s_t(X1,ext(X2,X1,X3,X4),c63(X5,X1,X0))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481147,c_480890]) ).
tcf(c_535848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ext(X2,X1,X3,X4),c63(X5,X1,X0))
| s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X1,c63(X5,X1,X0)),X4)
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481147,c_480407]) ).
tcf(c_535849,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,c63(X5,X1,X0),ext(X2,X1,X3,X4))
| s_t(X1,ext(X2,X1,X3,X4),c63(X5,X1,X0))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481147,c_480181]) ).
tcf(c_535850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,c63(X5,X1,X0))
| s_t(X1,ext(X2,X1,X3,X4),c63(X5,X1,X0))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481147,c_480111]) ).
tcf(c_535851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,c63(X4,X1,X0))
| s_t(X1,c63(X2,X1,X3),c63(X4,X1,X0))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481147,c_481093]) ).
tcf(c_535852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X4,X1,X0),c63(X2,X1,X3))
| s_t(X1,c63(X2,X1,X3),c63(X4,X1,X0))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481147,c_481090]) ).
tcf(c_535853,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X2,c63(X1,X1,X0))
| s_t(X1,c63(X1,X1,X0),X2)
| ( X0 = X1 )
| ~ sameside(X1,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_481092]) ).
tcf(c_535854,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X1,X2)
| s_t(X1,X2,c63(X1,X1,X0))
| ( X0 = X1 )
| ~ sameside(X1,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_481089]) ).
tcf(c_535855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X1,c63(X5,X1,X0))
| s_t(X1,ins(X2,X3,X4,X1),c63(X5,X1,X0))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_481147,c_480745]) ).
tcf(c_535856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,c63(X5,X1,X0),ins(X2,X3,X4,X1))
| s_t(X1,ins(X2,X3,X4,X1),c63(X5,X1,X0))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_481147,c_480742]) ).
tcf(c_535857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ins(X2,X3,c63(X4,X1,X0),X1),c63(X4,X1,X0))
| ( X0 = X1 )
| ( c63(X4,X1,X0) = X1 )
| ~ sameside(X4,X1,X0)
| ~ le(c63(X4,X1,X0),X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,c63(X4,X1,X0),X1)) ),
inference(superposition,[status(thm)],[c_481147,c_480746]) ).
tcf(c_535858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,ext(X2,X1,X1,c63(X3,X1,X0)),c63(X3,X1,X0))
| ( X0 = X1 )
| ( ext(X2,X1,X1,c63(X3,X1,X0)) = c63(X3,X1,X0) )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,ext(X2,X1,X1,c63(X3,X1,X0))) ),
inference(superposition,[status(thm)],[c_481147,c_480982]) ).
tcf(c_535859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,ins(X1,c63(X2,X1,X0),X1,X3),c63(X2,X1,X0))
| ( X0 = X1 )
| ( ins(X1,c63(X2,X1,X0),X1,X3) = c63(X2,X1,X0) )
| ~ sameside(X2,X1,X0)
| ~ le(X1,X3,X1,c63(X2,X1,X0))
| ~ s_t(X0,X1,ins(X1,c63(X2,X1,X0),X1,X3)) ),
inference(superposition,[status(thm)],[c_481147,c_480985]) ).
tcf(c_535860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,c63(X5,X1,X0),X2,X3)
| s_t(X1,ins(X2,X3,X1,X4),c63(X5,X1,X0))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_481147,c_480893]) ).
tcf(c_535861,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ins(X2,X3,X1,X4),c63(X5,X1,X0))
| s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X1,c63(X5,X1,X0)),X3)
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_481147,c_480791]) ).
tcf(c_535862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X4,c63(X5,X1,X0))
| s_t(X1,c63(X5,X1,X0),X4)
| s_t(X1,ins(X2,X3,X1,X4),c63(X5,X1,X0))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_481147,c_480737]) ).
tcf(c_535863,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,c63(X3,X1,X0),X2)
| s_t(X1,X2,c63(X3,X1,X0))
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_532776]) ).
tcf(c_535864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X1,X2)
| s_t(X1,X2,c63(X3,X1,X0))
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_531999]) ).
tcf(c_535865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,c63(X5,X1,X0))
| s_t(X1,c63(X5,X1,X0),X2)
| s_t(X1,ext(X1,X2,X3,X4),c63(X5,X1,X0))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ s_t(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481147,c_480701]) ).
tcf(c_535866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,c63(X4,X1,X0))
| s_t(X1,c63(X4,X1,X0),X2)
| s_t(X1,c63(X1,X2,X3),c63(X4,X1,X0))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X1,X2,X3)
| ~ s_t(X0,X1,c63(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_481147,c_481085]) ).
tcf(c_535867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,c63(X4,X1,X0))
| s_t(X1,c63(X4,X1,X0),X3)
| s_t(X1,c63(X2,X3,X1),c63(X4,X1,X0))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X2,X3,X1)
| ~ s_t(X0,X1,c63(X2,X3,X1)) ),
inference(superposition,[status(thm)],[c_481147,c_481146]) ).
tcf(c_535868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,c63(X6,ip(X1,X2,X3,X4,X5),X0),X4)
| s_t(ip(X1,X2,X3,X4,X5),X4,c63(X6,ip(X1,X2,X3,X4,X5),X0))
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X6,ip(X1,X2,X3,X4,X5),X0)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_481147,c_480182]) ).
tcf(c_535869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ip(X1,X2,X3,X4,X5),c63(X6,ip(X1,X2,X3,X4,X5),X0))
| s_t(ip(X1,X2,X3,X4,X5),X4,c63(X6,ip(X1,X2,X3,X4,X5),X0))
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X6,ip(X1,X2,X3,X4,X5),X0)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_481147,c_480112]) ).
tcf(c_535870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,c63(X6,ip(X1,X2,X3,X4,X5),X0),X1)
| s_t(ip(X1,X2,X3,X4,X5),X1,c63(X6,ip(X1,X2,X3,X4,X5),X0))
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X6,ip(X1,X2,X3,X4,X5),X0)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_481147,c_480183]) ).
tcf(c_535871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X5),c63(X6,ip(X1,X2,X3,X4,X5),X0))
| s_t(ip(X1,X2,X3,X4,X5),X1,c63(X6,ip(X1,X2,X3,X4,X5),X0))
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X6,ip(X1,X2,X3,X4,X5),X0)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_481147,c_480113]) ).
tcf(c_535872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ext(X2,c63(X3,X1,X0),X4,X5),c63(X3,X1,X0))
| ( X0 = X1 )
| ( c63(X3,X1,X0) = X1 )
| ( ext(X1,c63(X3,X1,X0),X4,X5) = ext(X2,c63(X3,X1,X0),X4,X5) )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,ext(X2,c63(X3,X1,X0),X4,X5)) ),
inference(superposition,[status(thm)],[c_481147,c_480012]) ).
tcf(c_535873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ins(X2,X3,c63(X4,X1,X0),X5),c63(X4,X1,X0))
| ( X0 = X1 )
| ( c63(X4,X1,X0) = X1 )
| ( ext(X1,c63(X4,X1,X0),X2,X3) = ins(X2,X3,c63(X4,X1,X0),X5) )
| ~ sameside(X4,X1,X0)
| ~ le(c63(X4,X1,X0),X5,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,c63(X4,X1,X0),X5)) ),
inference(superposition,[status(thm)],[c_481147,c_480795]) ).
tcf(c_535874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,crossbar(X1,X2,X3,X4,X5,X6),c63(X7,crossbar(X1,X2,X3,X4,X5,X6),X0))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),X3,c63(X7,crossbar(X1,X2,X3,X4,X5,X6),X0))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X7,crossbar(X1,X2,X3,X4,X5,X6),X0)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_481147,c_480260]) ).
tcf(c_535875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X6,c63(X7,crossbar(X1,X2,X3,X4,X5,X6),X0),X3)
| s_t(crossbar(X1,X2,X3,X4,X5,X6),X3,c63(X7,crossbar(X1,X2,X3,X4,X5,X6),X0))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X7,crossbar(X1,X2,X3,X4,X5,X6),X0)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_481147,c_480257]) ).
tcf(c_535876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,crossbar(X1,X2,X3,X4,X5,X6),c63(X7,crossbar(X1,X2,X3,X4,X5,X6),X0))
| s_t(crossbar(X1,X2,X3,X4,X5,X6),X5,c63(X7,crossbar(X1,X2,X3,X4,X5,X6),X0))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X7,crossbar(X1,X2,X3,X4,X5,X6),X0)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_481147,c_480322]) ).
tcf(c_535877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,c63(X7,crossbar(X1,X2,X3,X4,X5,X6),X0),X5)
| s_t(crossbar(X1,X2,X3,X4,X5,X6),X5,c63(X7,crossbar(X1,X2,X3,X4,X5,X6),X0))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X7,crossbar(X1,X2,X3,X4,X5,X6),X0)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_481147,c_480319]) ).
tcf(c_535878,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,c63(X2,X1,X0),c63(X2,X1,X0))
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,c63(X2,X1,X0)) ),
inference(equality_factoring,[status(thm)],[c_481147]) ).
tcf(c_537068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,c63(X2,X3,X4),X1)
| ( X3 = X4 )
| ( crossbar(X4,X1,c63(X2,X3,X4),X0,X1,X5) = X1 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X4,X5,X0)
| ~ s_t(X4,X3,X1)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481148,c_480316]) ).
tcf(c_537069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,c63(X1,X2,X0),X5)
| ( X0 = X2 )
| ( crossbar(X0,X5,c63(X1,X2,X0),X3,X4,c63(X1,X2,X0)) = c63(X1,X2,X0) )
| ~ sameside(X1,X2,X0)
| ~ s_t(X0,X2,X5)
| ~ s_t(X3,X4,c63(X1,X2,X0))
| ~ s_t(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_481148,c_480254]) ).
tcf(c_537070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,c63(X3,X1,X0),X2)
| ( X0 = X2 )
| ( X0 = X1 )
| ( ext(X0,X2,X2,c63(X3,X1,X0)) = c63(X3,X1,X0) )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_480013]) ).
tcf(c_537071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,c63(X3,X1,X0),X2)
| ( X0 = X2 )
| ( X0 = X1 )
| ( ext(X0,X2,c63(X3,X1,X0),X2) = c63(X3,X1,X0) )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_480011]) ).
tcf(c_537072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X2,X3,X1),X4)
| ( X1 = X3 )
| ( ip(X1,X4,c63(X2,X3,X1),X0,X1) = X1 )
| ~ sameside(X2,X3,X1)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,c63(X2,X3,X1)) ),
inference(superposition,[status(thm)],[c_481148,c_479924]) ).
tcf(c_537073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,c63(X2,X3,X4),X0)
| ( X3 = X4 )
| ( ip(X4,X0,c63(X2,X3,X4),X0,X1) = X0 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X4,X3,X0)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481148,c_479914]) ).
tcf(c_537074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(c63(X3,X1,X0),X0,X2)
| s_t(X0,c63(X3,X1,X0),X2)
| ( X0 = X2 )
| ( X0 = X1 )
| ( c63(X3,X1,X0) = X0 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_238]) ).
tcf(c_537075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X2,X0,c63(X3,X1,X0))
| s_t(X0,c63(X3,X1,X0),X2)
| ( X0 = xb )
| ( X0 = X2 )
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_237]) ).
tcf(c_537076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X2,c63(X3,X1,X0),X0)
| s_t(X0,c63(X3,X1,X0),X2)
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_225]) ).
tcf(c_537077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(c63(X3,X1,X0),X0,X2)
| s_t(X0,c63(X3,X1,X0),X2)
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_224]) ).
tcf(c_537078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X2,c63(X3,X1,X0))
| s_t(X0,c63(X3,X1,X0),X2)
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_223]) ).
tcf(c_537079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X0,X1,X2),X4)
| ( X3 = X4 )
| ( X1 = X2 )
| ~ s_r(X2,X3,X4)
| ~ sameside(X0,X1,X2)
| ~ s_t(X2,X1,X4)
| ~ s_r(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481148,c_184]) ).
tcf(c_537080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,c63(X2,X3,X4))
| s_t(X4,c63(X2,X3,X4),X1)
| s_t(X0,X4,c63(X2,X3,X4))
| ( X3 = X4 )
| ( c63(X2,X3,X4) = X1 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X4,X3,X1)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481148,c_147]) ).
tcf(c_537081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| s_t(X4,c63(X2,X3,X4),X1)
| ( X3 = X4 )
| ( X1 = X4 )
| ( c63(X2,X3,X4) = X1 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X4,X3,X1)
| ~ sameside(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481148,c_145]) ).
tcf(c_537082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X3,X2,X0)
| sameside(X3,X2,c63(X4,X1,X0))
| s_t(X0,c63(X4,X1,X0),X2)
| ( X2 = X3 )
| ( X0 = X2 )
| ( X0 = X1 )
| ( c63(X4,X1,X0) = X2 )
| ~ sameside(X4,X1,X0)
| ~ s_col(X3,X2,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_143]) ).
tcf(c_537083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,c63(X2,X3,X0),X1)
| ( X0 = X3 )
| ~ sameside(X2,X3,X0)
| ~ s_t(X0,X3,X1)
| ~ sameside(X0,X1,c63(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_481148,c_133]) ).
tcf(c_537084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,X1,X0)
| s_t(X4,c63(X2,X3,X4),X1)
| ( X3 = X4 )
| ( X1 = X4 )
| ( X0 = X1 )
| ( c63(X2,X3,X4) = X1 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X4,X3,X1)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481148,c_131]) ).
tcf(c_537085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X2,c63(X4,X1,X0))
| s_t(X0,c63(X4,X1,X0),X2)
| ( X2 = X3 )
| ( X0 = X2 )
| ( X0 = X1 )
| ( c63(X4,X1,X0) = X2 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_125]) ).
tcf(c_537086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,X1)
| s_t(X0,X1,X4)
| s_t(X0,c63(X2,X3,X0),X4)
| ( X0 = X3 )
| ~ sameside(X2,X3,X0)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,c63(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_481148,c_109]) ).
tcf(c_537087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X3,c63(X4,X1,X0))
| s_t(X2,c63(X4,X1,X0),X3)
| s_t(X0,c63(X4,X1,X0),X2)
| ( X0 = X2 )
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_108]) ).
tcf(c_537088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X3,c63(X4,X1,X0))
| s_t(X0,c63(X4,X1,X0),X3)
| s_t(X0,c63(X4,X1,X0),X2)
| ( X0 = X2 )
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_107]) ).
tcf(c_537089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X0,X4)
| s_t(X3,c63(X1,X2,X3),X0)
| ( X2 = X3 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X3,X2,X0)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481148,c_81]) ).
tcf(c_537090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,X3)
| s_t(X0,c63(X1,X2,X0),X4)
| ( X0 = X2 )
| ~ sameside(X1,X2,X0)
| ~ s_t(X0,X2,X4)
| ~ s_t(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_481148,c_80]) ).
tcf(c_537091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,c63(X2,X3,X4))
| s_t(X4,c63(X2,X3,X4),X0)
| ( X3 = X4 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X4,X3,X0)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481148,c_79]) ).
tcf(c_537092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,c63(X1,X2,X3),X4)
| s_t(X3,c63(X1,X2,X3),X0)
| ( X2 = X3 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X3,X2,X0)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481148,c_78]) ).
tcf(c_537093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,c63(X1,X2,X0),X3)
| s_t(X0,c63(X1,X2,X0),X4)
| ( X0 = X2 )
| ~ sameside(X1,X2,X0)
| ~ s_t(X0,X2,X4)
| ~ s_t(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_481148,c_77]) ).
tcf(c_537094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,X1)
| s_t(X4,c63(X2,X3,X4),X0)
| ( X3 = X4 )
| ~ sameside(X2,X3,X4)
| ~ s_t(X4,X3,X0)
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481148,c_76]) ).
tcf(c_537095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,c63(X2,X3,X1),X0)
| ( X1 = X3 )
| ( X0 = X1 )
| ~ sameside(X2,X3,X1)
| ~ s_t(X1,X3,X0)
| ~ s_t(X0,X1,c63(X2,X3,X1)) ),
inference(superposition,[status(thm)],[c_481148,c_75]) ).
tcf(c_537096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,c63(X3,X1,X0),X2)
| s_t(c63(X3,X1,X0),X2,X0)
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_73]) ).
tcf(c_537100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X2,c63(X5,X1,X0))
| s_t(X0,c63(X5,X1,X0),ext(X0,X2,X3,X4))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ s_t(X0,X1,ext(X0,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481148,c_480204]) ).
tcf(c_537101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ext(X0,X2,X3,X4),c63(X5,X1,X0))
| s_t(X0,c63(X5,X1,X0),ext(X0,X2,X3,X4))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ s_t(X0,X1,ext(X0,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481148,c_480134]) ).
tcf(c_537102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X0,X2,X3),c63(X4,X1,X0))
| s_t(X0,c63(X4,X1,X0),c63(X0,X2,X3))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X0,X2,X3)
| ~ s_t(X0,X1,c63(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_481148,c_481092]) ).
tcf(c_537103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,c63(X4,X1,X0))
| s_t(X0,c63(X4,X1,X0),c63(X0,X2,X3))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X0,X2,X3)
| ~ s_t(X0,X1,c63(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_481148,c_481089]) ).
tcf(c_537104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X2,c63(X3,X1,X0))
| s_t(X0,c63(X3,X1,X0),s(X2,X0))
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,s(X2,X0)) ),
inference(superposition,[status(thm)],[c_481148,c_485960]) ).
tcf(c_537105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ins(X2,X3,X0,X4),c63(X5,X1,X0))
| s_t(X0,c63(X5,X1,X0),ins(X2,X3,X0,X4))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_481148,c_480744]) ).
tcf(c_537106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X4,c63(X5,X1,X0))
| s_t(X0,c63(X5,X1,X0),ins(X2,X3,X0,X4))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_481148,c_480741]) ).
tcf(c_537107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X0,c63(X5,X1,X0))
| s_t(X0,c63(X5,X1,X0),ext(X2,X0,X3,X4))
| ( X0 = X1 )
| ( ext(X2,X0,X3,X4) = X0 )
| ~ sameside(X5,X1,X0)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481148,c_480227]) ).
tcf(c_537108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ext(X2,X0,X3,X4),c63(X5,X1,X0))
| s_t(X0,c63(X5,X1,X0),ext(X2,X0,X3,X4))
| ( X0 = X1 )
| ( ext(X2,X0,X3,X4) = X0 )
| ~ sameside(X5,X1,X0)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481148,c_480157]) ).
tcf(c_537109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ins(X2,X3,X4,X0),c63(X5,X1,X0))
| s_t(X0,c63(X5,X1,X0),ins(X2,X3,X4,X0))
| ( X0 = X1 )
| ( ins(X2,X3,X4,X0) = X0 )
| ~ sameside(X5,X1,X0)
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_481148,c_480743]) ).
tcf(c_537110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X0,c63(X5,X1,X0))
| s_t(X0,c63(X5,X1,X0),ins(X2,X3,X4,X0))
| ( X0 = X1 )
| ( ins(X2,X3,X4,X0) = X0 )
| ~ sameside(X5,X1,X0)
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_481148,c_480740]) ).
tcf(c_537111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X2,X0,X3),c63(X4,X1,X0))
| s_t(X0,c63(X4,X1,X0),c63(X2,X0,X3))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481148,c_532776]) ).
tcf(c_537112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,c63(X4,X1,X0))
| s_t(X0,c63(X4,X1,X0),c63(X2,X0,X3))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481148,c_531999]) ).
tcf(c_537115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),c63(X6,X5,ip(X0,X1,X2,X3,X4)))
| s_t(ip(X0,X1,X2,X3,X4),c63(X6,X5,ip(X0,X1,X2,X3,X4)),X3)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(X6,X5,ip(X0,X1,X2,X3,X4))
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_481148,c_480228]) ).
tcf(c_537116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X3,c63(X6,X5,ip(X0,X1,X2,X3,X4)))
| s_t(ip(X0,X1,X2,X3,X4),c63(X6,X5,ip(X0,X1,X2,X3,X4)),X3)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(X6,X5,ip(X0,X1,X2,X3,X4))
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_481148,c_480158]) ).
tcf(c_537117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),c63(X6,X5,ip(X0,X1,X2,X3,X4)))
| s_t(ip(X0,X1,X2,X3,X4),c63(X6,X5,ip(X0,X1,X2,X3,X4)),X0)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(X6,X5,ip(X0,X1,X2,X3,X4))
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_481148,c_480229]) ).
tcf(c_537118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X0,c63(X6,X5,ip(X0,X1,X2,X3,X4)))
| s_t(ip(X0,X1,X2,X3,X4),c63(X6,X5,ip(X0,X1,X2,X3,X4)),X0)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(X6,X5,ip(X0,X1,X2,X3,X4))
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_481148,c_480159]) ).
tcf(c_537119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,c63(X6,X1,X0),ip(X2,X0,X3,X4,X5))
| s_t(ip(X2,X0,X3,X4,X5),X4,c63(X6,X1,X0))
| s_t(ip(X2,X0,X3,X4,X5),c63(X6,X1,X0),X4)
| ( X0 = X1 )
| ( ip(X2,X0,X3,X4,X5) = X0 )
| ~ sameside(X6,X1,X0)
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,ip(X2,X0,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_481148,c_480647]) ).
tcf(c_537120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X4,c63(X6,X1,X0))
| s_t(X0,c63(X6,X1,X0),X4)
| s_t(X0,c63(X6,X1,X0),ip(X2,X0,X3,X4,X5))
| ( X0 = X1 )
| ( ip(X2,X0,X3,X4,X5) = X0 )
| ~ sameside(X6,X1,X0)
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,ip(X2,X0,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_481148,c_480600]) ).
tcf(c_537121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,c63(X6,X1,X0),ip(X2,X3,X4,X5,X0))
| s_t(ip(X2,X3,X4,X5,X0),X2,c63(X6,X1,X0))
| s_t(ip(X2,X3,X4,X5,X0),c63(X6,X1,X0),X2)
| ( X0 = X1 )
| ( ip(X2,X3,X4,X5,X0) = X0 )
| ~ sameside(X6,X1,X0)
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_481148,c_480648]) ).
tcf(c_537122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X2,c63(X6,X1,X0))
| s_t(X0,c63(X6,X1,X0),X2)
| s_t(X0,c63(X6,X1,X0),ip(X2,X3,X4,X5,X0))
| ( X0 = X1 )
| ( ip(X2,X3,X4,X5,X0) = X0 )
| ~ sameside(X6,X1,X0)
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X0)) ),
inference(superposition,[status(thm)],[c_481148,c_480601]) ).
tcf(c_537123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,c63(X7,X1,X0),crossbar(X2,X3,X4,X5,X6,X0))
| s_t(crossbar(X2,X3,X4,X5,X6,X0),X4,c63(X7,X1,X0))
| s_t(crossbar(X2,X3,X4,X5,X6,X0),c63(X7,X1,X0),X4)
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,X6,X0) = X0 )
| ~ sameside(X7,X1,X0)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X0,X5)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X0)) ),
inference(superposition,[status(thm)],[c_481148,c_480651]) ).
tcf(c_537124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X4,c63(X7,X1,X0))
| s_t(X0,c63(X7,X1,X0),X4)
| s_t(X0,c63(X7,X1,X0),crossbar(X2,X3,X4,X5,X6,X0))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,X6,X0) = X0 )
| ~ sameside(X7,X1,X0)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X0,X5)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X0)) ),
inference(superposition,[status(thm)],[c_481148,c_480604]) ).
tcf(c_537125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,X2,c63(X7,X6,crossbar(X0,X1,X2,X3,X4,X5)))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),c63(X7,X6,crossbar(X0,X1,X2,X3,X4,X5)),X2)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(X7,X6,crossbar(X0,X1,X2,X3,X4,X5))
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_481148,c_480258]) ).
tcf(c_537126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),c63(X7,X6,crossbar(X0,X1,X2,X3,X4,X5)))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),c63(X7,X6,crossbar(X0,X1,X2,X3,X4,X5)),X2)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(X7,X6,crossbar(X0,X1,X2,X3,X4,X5))
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_481148,c_480255]) ).
tcf(c_537127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,c63(X7,X1,X0),crossbar(X2,X0,X3,X4,X5,X6))
| s_t(crossbar(X2,X0,X3,X4,X5,X6),X5,c63(X7,X1,X0))
| s_t(crossbar(X2,X0,X3,X4,X5,X6),c63(X7,X1,X0),X5)
| ( X0 = X1 )
| ( crossbar(X2,X0,X3,X4,X5,X6) = X0 )
| ~ sameside(X7,X1,X0)
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,crossbar(X2,X0,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481148,c_480652]) ).
tcf(c_537128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X5,c63(X7,X1,X0))
| s_t(X0,c63(X7,X1,X0),X5)
| s_t(X0,c63(X7,X1,X0),crossbar(X2,X0,X3,X4,X5,X6))
| ( X0 = X1 )
| ( crossbar(X2,X0,X3,X4,X5,X6) = X0 )
| ~ sameside(X7,X1,X0)
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,crossbar(X2,X0,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481148,c_480605]) ).
tcf(c_537129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X4,c63(X7,X6,crossbar(X0,X1,X2,X3,X4,X5)))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),c63(X7,X6,crossbar(X0,X1,X2,X3,X4,X5)),X4)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(X7,X6,crossbar(X0,X1,X2,X3,X4,X5))
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_481148,c_480320]) ).
tcf(c_537130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),c63(X7,X6,crossbar(X0,X1,X2,X3,X4,X5)))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),c63(X7,X6,crossbar(X0,X1,X2,X3,X4,X5)),X4)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(X7,X6,crossbar(X0,X1,X2,X3,X4,X5))
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_481148,c_480317]) ).
tcf(c_537131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X0,c63(X2,X1,X0))
| s_e(X3,X3,c63(X2,X1,X0),X0)
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_481148,c_507196]) ).
tcf(c_537132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X0,c63(X2,X1,X0))
| s_e(X3,X3,X0,c63(X2,X1,X0))
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_481148,c_507140]) ).
tcf(c_537133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X0,c63(X2,X1,X0))
| s_t(X3,ext(ext(X3,X3,alpha,gamma),X3,X0,c63(X2,X1,X0)),X3)
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_481148,c_480409]) ).
tcf(c_537134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X0,c63(X2,X1,X0))
| le(X0,c63(X2,X1,X0),X3,X3)
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_481148,c_480892]) ).
tcf(c_537135,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X0,c63(X2,X1,X0),X0)
| s_t(X0,X0,c63(X2,X1,X0))
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_481148,c_486468]) ).
tcf(c_537136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,c63(X2,X1,X0),X0)
| s_t(X0,X0,c63(X2,X1,X0))
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_481148,c_480184]) ).
tcf(c_537137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X0,c63(X2,X1,X0))
| s_t(X0,X0,c63(X2,X1,X0))
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_481148,c_480114]) ).
tcf(c_537138,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X0,c63(X2,X1,X0))
| ( X0 = X1 )
| ( c63(X2,X1,X0) = X0 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_481148,c_55]) ).
tcf(c_537139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X4,c63(X1,X2,X3))
| ( X2 = X3 )
| ( crossbar(X3,c63(X1,X2,X3),X4,X0,c63(X1,X2,X3),X5) = c63(X1,X2,X3) )
| ~ sameside(X1,X2,X3)
| ~ s_t(X3,X5,X0)
| ~ s_t(X3,X2,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481148,c_480316]) ).
tcf(c_537140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X2,c63(X5,X1,X0))
| ( X0 = X1 )
| ( crossbar(X0,c63(X5,X1,X0),X2,X3,X4,X2) = X2 )
| ~ sameside(X5,X1,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_480254]) ).
tcf(c_537141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X2,c63(X3,X1,X0))
| ( X0 = X1 )
| ( c63(X3,X1,X0) = X0 )
| ( ext(X0,c63(X3,X1,X0),c63(X3,X1,X0),X2) = X2 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_480013]) ).
tcf(c_537142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X2,c63(X3,X1,X0))
| ( X0 = X1 )
| ( c63(X3,X1,X0) = X0 )
| ( ext(X0,c63(X3,X1,X0),X2,c63(X3,X1,X0)) = X2 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_480011]) ).
tcf(c_537143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,c63(X4,X1,X0))
| ( X0 = X1 )
| ( ip(X0,c63(X4,X1,X0),X2,X3,X0) = X0 )
| ~ sameside(X4,X1,X0)
| ~ s_t(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_479924]) ).
tcf(c_537144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X4,c63(X0,X1,X2))
| ( X1 = X2 )
| ( ip(X2,c63(X0,X1,X2),X4,c63(X0,X1,X2),X3) = c63(X0,X1,X2) )
| ~ sameside(X0,X1,X2)
| ~ s_t(X2,X1,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481148,c_479914]) ).
tcf(c_537145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X2,X0,c63(X3,X1,X0))
| s_t(X0,X2,c63(X3,X1,X0))
| ( X0 = X2 )
| ( X0 = X1 )
| ( c63(X3,X1,X0) = X0 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_238]) ).
tcf(c_537146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(c63(X3,X1,X0),X0,X2)
| s_t(X0,X2,c63(X3,X1,X0))
| ( X0 = xb )
| ( X0 = X1 )
| ( c63(X3,X1,X0) = X0 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_237]) ).
tcf(c_537147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(c63(X3,X1,X0),X2,X0)
| s_t(X0,X2,c63(X3,X1,X0))
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_225]) ).
tcf(c_537148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X2,X0,c63(X3,X1,X0))
| s_t(X0,X2,c63(X3,X1,X0))
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_224]) ).
tcf(c_537149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,c63(X3,X1,X0),X2)
| s_t(X0,X2,c63(X3,X1,X0))
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_223]) ).
tcf(c_537150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,c63(X2,X3,X0))
| ( X0 = X3 )
| ( c63(X2,X3,X0) = X1 )
| ~ sameside(X2,X3,X0)
| ~ s_t(X0,X3,X4)
| ~ s_r(X4,X1,c63(X2,X3,X0))
| ~ s_r(X0,X1,c63(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_481148,c_184]) ).
tcf(c_537151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X0,X4)
| s_t(X0,X3,X4)
| s_t(X3,X4,c63(X1,X2,X3))
| ( X2 = X3 )
| ( c63(X1,X2,X3) = X4 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X3,X2,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481148,c_147]) ).
tcf(c_537152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,c63(X1,X2,X3),X3)
| s_t(X3,X4,c63(X1,X2,X3))
| ( X2 = X3 )
| ( c63(X1,X2,X3) = X4 )
| ( c63(X1,X2,X3) = X3 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X3,X2,X4)
| ~ sameside(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481148,c_145]) ).
tcf(c_537153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,c63(X1,X2,X3),X4)
| sameside(X0,c63(X1,X2,X3),X3)
| s_t(X3,X4,c63(X1,X2,X3))
| ( X2 = X3 )
| ( c63(X1,X2,X3) = X4 )
| ( c63(X1,X2,X3) = X3 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X3,X2,X4)
| ~ s_col(X0,c63(X1,X2,X3),X3) ),
inference(superposition,[status(thm)],[c_481148,c_143]) ).
tcf(c_537154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X3,c63(X1,X2,X0))
| ( X0 = X2 )
| ~ sameside(X1,X2,X0)
| ~ s_t(X0,X2,X3)
| ~ sameside(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_481148,c_133]) ).
tcf(c_537155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X3,c63(X1,X2,X3),X0)
| s_t(X3,X4,c63(X1,X2,X3))
| ( X2 = X3 )
| ( c63(X1,X2,X3) = X4 )
| ( c63(X1,X2,X3) = X3 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ s_t(X3,X2,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481148,c_131]) ).
tcf(c_537156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,c63(X1,X2,X0),X4)
| s_t(X0,X4,c63(X1,X2,X0))
| ( X0 = X2 )
| ( c63(X1,X2,X0) = X4 )
| ( c63(X1,X2,X0) = X3 )
| ( c63(X1,X2,X0) = X0 )
| ~ sameside(X1,X2,X0)
| ~ s_t(X0,X2,X4)
| ~ sameside(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_481148,c_125]) ).
tcf(c_537157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X3,c63(X4,X1,X0))
| s_t(X0,X2,c63(X4,X1,X0))
| s_t(X0,c63(X4,X1,X0),X3)
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_109]) ).
tcf(c_537158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,c63(X1,X2,X0))
| s_t(c63(X1,X2,X0),X4,X3)
| s_t(c63(X1,X2,X0),X3,X4)
| ( X0 = X2 )
| ( c63(X1,X2,X0) = X0 )
| ~ sameside(X1,X2,X0)
| ~ s_t(X0,X2,X4)
| ~ s_t(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_481148,c_108]) ).
tcf(c_537159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,X3)
| s_t(X0,X3,X4)
| s_t(X0,X4,c63(X1,X2,X0))
| ( X0 = X2 )
| ( c63(X1,X2,X0) = X0 )
| ~ sameside(X1,X2,X0)
| ~ s_t(X0,X2,X4)
| ~ s_t(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_481148,c_107]) ).
tcf(c_537160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X3,c63(X0,X1,X2))
| s_t(X2,c63(X0,X1,X2),X4)
| ( X1 = X2 )
| ( c63(X0,X1,X2) = X3 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X2,X1,X3)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481148,c_81]) ).
tcf(c_537161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,c63(X4,X1,X0))
| s_t(X0,c63(X4,X1,X0),X3)
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_80]) ).
tcf(c_537162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X3,X4)
| s_t(X2,X4,c63(X0,X1,X2))
| ( X1 = X2 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X2,X1,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481148,c_79]) ).
tcf(c_537163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X3,X4)
| s_t(X2,X3,c63(X0,X1,X2))
| ( X1 = X2 )
| ( c63(X0,X1,X2) = X3 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X2,X1,X3)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481148,c_78]) ).
tcf(c_537164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,c63(X4,X1,X0))
| s_t(c63(X4,X1,X0),X2,X3)
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_77]) ).
tcf(c_537165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X4,c63(X0,X1,X2))
| s_t(X2,c63(X0,X1,X2),X3)
| ( X1 = X2 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X2,X1,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481148,c_76]) ).
tcf(c_537166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X3,c63(X0,X1,X2))
| ( X1 = X2 )
| ( c63(X0,X1,X2) = X2 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X2,X1,X3)
| ~ s_t(c63(X0,X1,X2),X2,X3) ),
inference(superposition,[status(thm)],[c_481148,c_75]) ).
tcf(c_537167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,c63(X3,X1,X0),X0)
| s_t(X0,X2,c63(X3,X1,X0))
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_73]) ).
tcf(c_537168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ext(c63(X2,X1,X0),X0,X3,X4),c63(X2,X1,X0))
| ( X0 = X1 )
| ( c63(X2,X1,X0) = X0 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,ext(c63(X2,X1,X0),X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481148,c_480090]) ).
tcf(c_537169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,c63(c63(X2,X1,X0),X0,X3),c63(X2,X1,X0))
| ( X0 = X1 )
| ( c63(X2,X1,X0) = X0 )
| ~ sameside(X2,X1,X0)
| ~ sameside(c63(X2,X1,X0),X0,X3)
| ~ s_t(X0,X1,c63(c63(X2,X1,X0),X0,X3)) ),
inference(superposition,[status(thm)],[c_481148,c_481094]) ).
tcf(c_537170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X0,c63(X5,X1,X0),X3,X4)
| s_t(X0,ext(X2,X0,X3,X4),c63(X5,X1,X0))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481148,c_480890]) ).
tcf(c_537171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(X2,X0,X3,X4),c63(X5,X1,X0))
| s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X0,c63(X5,X1,X0)),X4)
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481148,c_480407]) ).
tcf(c_537172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,c63(X5,X1,X0),ext(X2,X0,X3,X4))
| s_t(X0,ext(X2,X0,X3,X4),c63(X5,X1,X0))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481148,c_480181]) ).
tcf(c_537173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X0,c63(X5,X1,X0))
| s_t(X0,ext(X2,X0,X3,X4),c63(X5,X1,X0))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481148,c_480111]) ).
tcf(c_537174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,c63(X4,X1,X0))
| s_t(X0,c63(X2,X0,X3),c63(X4,X1,X0))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481148,c_481093]) ).
tcf(c_537175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X4,X1,X0),c63(X2,X0,X3))
| s_t(X0,c63(X2,X0,X3),c63(X4,X1,X0))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481148,c_481090]) ).
tcf(c_537176,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,c63(X0,X1,X0),X2)
| s_t(X0,X2,c63(X0,X1,X0))
| ( X0 = X1 )
| ~ sameside(X0,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481148,c_481092]) ).
tcf(c_537178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X0,c63(X5,X1,X0))
| s_t(X0,ins(X2,X3,X4,X0),c63(X5,X1,X0))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_481148,c_480745]) ).
tcf(c_537179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,c63(X5,X1,X0),ins(X2,X3,X4,X0))
| s_t(X0,ins(X2,X3,X4,X0),c63(X5,X1,X0))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_481148,c_480742]) ).
tcf(c_537180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ins(X2,X3,c63(X4,X1,X0),X0),c63(X4,X1,X0))
| ( X0 = X1 )
| ( c63(X4,X1,X0) = X0 )
| ~ sameside(X4,X1,X0)
| ~ le(c63(X4,X1,X0),X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,c63(X4,X1,X0),X0)) ),
inference(superposition,[status(thm)],[c_481148,c_480746]) ).
tcf(c_537181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ext(X2,X0,X0,c63(X3,X1,X0)),c63(X3,X1,X0))
| ( X0 = X1 )
| ( ext(X2,X0,X0,c63(X3,X1,X0)) = c63(X3,X1,X0) )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,ext(X2,X0,X0,c63(X3,X1,X0))) ),
inference(superposition,[status(thm)],[c_481148,c_480982]) ).
tcf(c_537182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ins(X0,c63(X2,X1,X0),X0,X3),c63(X2,X1,X0))
| ( X0 = X1 )
| ( ins(X0,c63(X2,X1,X0),X0,X3) = c63(X2,X1,X0) )
| ~ sameside(X2,X1,X0)
| ~ le(X0,X3,X0,c63(X2,X1,X0))
| ~ s_t(X0,X1,ins(X0,c63(X2,X1,X0),X0,X3)) ),
inference(superposition,[status(thm)],[c_481148,c_480985]) ).
tcf(c_537183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X0,c63(X5,X1,X0),X2,X3)
| s_t(X0,ins(X2,X3,X0,X4),c63(X5,X1,X0))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_481148,c_480893]) ).
tcf(c_537184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ins(X2,X3,X0,X4),c63(X5,X1,X0))
| s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,c63(X5,X1,X0)),X3)
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_481148,c_480791]) ).
tcf(c_537185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X4,c63(X5,X1,X0))
| s_t(X0,c63(X5,X1,X0),X4)
| s_t(X0,ins(X2,X3,X0,X4),c63(X5,X1,X0))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_481148,c_480737]) ).
tcf(c_537188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X2,c63(X5,X1,X0))
| s_t(X0,c63(X5,X1,X0),X2)
| s_t(X0,ext(X0,X2,X3,X4),c63(X5,X1,X0))
| ( X0 = X1 )
| ~ sameside(X5,X1,X0)
| ~ s_t(X0,X1,ext(X0,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481148,c_480701]) ).
tcf(c_537189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,c63(X4,X1,X0))
| s_t(X0,c63(X4,X1,X0),X2)
| s_t(X0,c63(X0,X2,X3),c63(X4,X1,X0))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X0,X2,X3)
| ~ s_t(X0,X1,c63(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_481148,c_481085]) ).
tcf(c_537190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X3,c63(X4,X1,X0))
| s_t(X0,c63(X4,X1,X0),X3)
| s_t(X0,c63(X2,X3,X0),c63(X4,X1,X0))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X2,X3,X0)
| ~ s_t(X0,X1,c63(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_481148,c_481146]) ).
tcf(c_537191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,c63(X6,X5,ip(X0,X1,X2,X3,X4)),X3)
| s_t(ip(X0,X1,X2,X3,X4),X3,c63(X6,X5,ip(X0,X1,X2,X3,X4)))
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(X6,X5,ip(X0,X1,X2,X3,X4))
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_481148,c_480182]) ).
tcf(c_537192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),c63(X6,X5,ip(X0,X1,X2,X3,X4)))
| s_t(ip(X0,X1,X2,X3,X4),X3,c63(X6,X5,ip(X0,X1,X2,X3,X4)))
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(X6,X5,ip(X0,X1,X2,X3,X4))
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_481148,c_480112]) ).
tcf(c_537193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,c63(X6,X5,ip(X0,X1,X2,X3,X4)),X0)
| s_t(ip(X0,X1,X2,X3,X4),X0,c63(X6,X5,ip(X0,X1,X2,X3,X4)))
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(X6,X5,ip(X0,X1,X2,X3,X4))
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_481148,c_480183]) ).
tcf(c_537194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),c63(X6,X5,ip(X0,X1,X2,X3,X4)))
| s_t(ip(X0,X1,X2,X3,X4),X0,c63(X6,X5,ip(X0,X1,X2,X3,X4)))
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(X6,X5,ip(X0,X1,X2,X3,X4))
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_481148,c_480113]) ).
tcf(c_537195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(X2,c63(X3,X1,X0),X4,X5),c63(X3,X1,X0))
| ( X0 = X1 )
| ( c63(X3,X1,X0) = X0 )
| ( ext(X0,c63(X3,X1,X0),X4,X5) = ext(X2,c63(X3,X1,X0),X4,X5) )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,ext(X2,c63(X3,X1,X0),X4,X5)) ),
inference(superposition,[status(thm)],[c_481148,c_480012]) ).
tcf(c_537196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ins(X2,X3,c63(X4,X1,X0),X5),c63(X4,X1,X0))
| ( X0 = X1 )
| ( c63(X4,X1,X0) = X0 )
| ( ext(X0,c63(X4,X1,X0),X2,X3) = ins(X2,X3,c63(X4,X1,X0),X5) )
| ~ sameside(X4,X1,X0)
| ~ le(c63(X4,X1,X0),X5,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,c63(X4,X1,X0),X5)) ),
inference(superposition,[status(thm)],[c_481148,c_480795]) ).
tcf(c_537197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),c63(X7,X6,crossbar(X0,X1,X2,X3,X4,X5)))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,c63(X7,X6,crossbar(X0,X1,X2,X3,X4,X5)))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(X7,X6,crossbar(X0,X1,X2,X3,X4,X5))
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_481148,c_480260]) ).
tcf(c_537198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,c63(X7,X6,crossbar(X0,X1,X2,X3,X4,X5)),X2)
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,c63(X7,X6,crossbar(X0,X1,X2,X3,X4,X5)))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(X7,X6,crossbar(X0,X1,X2,X3,X4,X5))
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_481148,c_480257]) ).
tcf(c_537199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),c63(X7,X6,crossbar(X0,X1,X2,X3,X4,X5)))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,c63(X7,X6,crossbar(X0,X1,X2,X3,X4,X5)))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(X7,X6,crossbar(X0,X1,X2,X3,X4,X5))
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_481148,c_480322]) ).
tcf(c_537200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,c63(X7,X6,crossbar(X0,X1,X2,X3,X4,X5)),X4)
| s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,c63(X7,X6,crossbar(X0,X1,X2,X3,X4,X5)))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ sameside(X7,X6,crossbar(X0,X1,X2,X3,X4,X5))
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_481148,c_480319]) ).
tcf(c_537201,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,c63(X2,X1,X0),c63(X2,X1,X0))
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,c63(X2,X1,X0)) ),
inference(equality_factoring,[status(thm)],[c_481148]) ).
tcf(c_538289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X0,X3)
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_481149,c_128]) ).
tcf(c_538299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ext(X1,c63(X0,X1,X2),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_538289]) ).
tcf(c_538301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,ins(X3,X4,X0,c63(X1,X0,X2)))
| ~ sameside(X1,X0,X2)
| ~ le(X0,c63(X1,X0,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_110,c_538289]) ).
tcf(c_538302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X0,c63(X0,c63(X1,X0,X2),X3))
| ~ sameside(X1,X0,X2)
| ~ sameside(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_129,c_538289]) ).
tcf(c_538303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X2,c63(X0,c63(X1,X2,X3),X2))
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_130,c_538289]) ).
tcf(c_538304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X2,insert5(X0,X1,X5,X2,c63(X3,X2,X4)))
| ~ sameside(X3,X2,X4)
| ~ s_t(X0,X1,X5)
| ~ s_e(X0,X1,X2,c63(X3,X2,X4)) ),
inference(superposition,[status(thm)],[c_505149,c_538289]) ).
tcf(c_538305,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,s(c63(X0,X1,X2),X1))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_538289]) ).
tcf(c_538306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X1,ins(X4,X5,X0,X1))
| s_t(X1,ins(X4,X5,X0,X1),c63(X2,X1,X3))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480738,c_538289]) ).
tcf(c_538307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X0,ins(X4,X5,X0,X1))
| s_t(X0,ins(X4,X5,X0,X1),c63(X2,X0,X3))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480739,c_538289]) ).
tcf(c_538308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X0,ip(X4,X0,X5,X3,X6))
| s_t(X0,ip(X4,X0,X5,X3,X6),c63(X1,X0,X2))
| ~ sameside(X1,X0,X2)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X6,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480702,c_538289]) ).
tcf(c_538309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X0,ip(X3,X4,X5,X6,X0))
| s_t(X0,ip(X3,X4,X5,X6,X0),c63(X1,X0,X2))
| ~ sameside(X1,X0,X2)
| ~ s_t(X6,X0,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480703,c_538289]) ).
tcf(c_538310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X0,ext(X0,X1,X4,X5))
| s_t(X0,ext(X0,X1,X4,X5),c63(X2,X0,X3))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480599,c_538289]) ).
tcf(c_538312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X0,c63(X0,X1,X4))
| s_t(X0,c63(X0,X1,X4),c63(X2,X0,X3))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481087,c_538289]) ).
tcf(c_538314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X0,c63(X4,X1,X0))
| s_t(X0,c63(X4,X1,X0),c63(X2,X0,X3))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481148,c_538289]) ).
tcf(c_538315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X1,ext(X0,X1,X4,X5))
| s_t(X1,ext(X0,X1,X4,X5),c63(X2,X1,X3))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480646,c_538289]) ).
tcf(c_538316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X1,X2)
| s_t(X1,X2,c63(X0,X1,X3))
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_538289]) ).
tcf(c_538317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X1,c63(X0,X1,X4))
| s_t(X1,c63(X0,X1,X4),c63(X2,X1,X3))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481086,c_538289]) ).
tcf(c_538319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X1,c63(X4,X1,X0))
| s_t(X1,c63(X4,X1,X0),c63(X2,X1,X3))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481147,c_538289]) ).
tcf(c_538320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,ins(X4,X5,X0,c63(X1,X2,X3)))
| ( c63(X1,X2,X3) = X2 )
| ( c63(X1,X2,X3) = X0 )
| ( ins(X4,X5,X0,c63(X1,X2,X3)) = c63(X1,X2,X3) )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X2)
| ~ le(X0,c63(X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481026,c_538289]) ).
tcf(c_538321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X2,c63(X0,c63(X1,X2,X3),X4))
| ( c63(X1,X2,X3) = X4 )
| ( c63(X1,X2,X3) = X2 )
| ~ sameside(X1,X2,X3)
| ~ sameside(X4,c63(X1,X2,X3),X2)
| ~ sameside(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_534516,c_538289]) ).
tcf(c_538322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X2,c63(X0,c63(X1,X2,X3),X4))
| ( c63(X1,X2,X3) = X2 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X4)
| ~ sameside(X0,c63(X1,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_528230,c_538289]) ).
tcf(c_538323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X0,crossbar(X4,X5,X3,X6,X7,X0))
| s_t(X0,crossbar(X4,X5,X3,X6,X7,X0),c63(X1,X0,X2))
| ~ sameside(X1,X0,X2)
| ~ s_t(X6,X7,X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480706,c_538289]) ).
tcf(c_538324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X0,crossbar(X4,X0,X5,X7,X3,X6))
| s_t(X0,crossbar(X4,X0,X5,X7,X3,X6),c63(X1,X0,X2))
| ~ sameside(X1,X0,X2)
| ~ s_t(X7,X3,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480707,c_538289]) ).
tcf(c_538325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,ext(X0,c63(X1,X2,X3),X4,X5))
| ( c63(X1,X2,X3) = X2 )
| ( c63(X1,X2,X3) = X0 )
| ( ext(X0,c63(X1,X2,X3),X4,X5) = c63(X1,X2,X3) )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_481019,c_538289]) ).
tcf(c_538326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ext(X1,s(c63(X0,X1,X2),X1),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_538289]) ).
tcf(c_538327,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,s(s(c63(X0,X1,X2),X1),X1))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_538289]) ).
tcf(c_538328,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,s(s(s(c63(X0,X1,X2),X1),X1),X1))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_538289]) ).
tcf(c_538329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,s(ext(X1,c63(X0,X1,X2),X3,X4),X1))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_538289]) ).
tcf(c_538585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(ext(s(X0,X1),X1,X2,X3),s(X0,X1),X0),
inference(superposition,[status(thm)],[c_161,c_523154]) ).
tcf(c_538586,plain,
! [X0: $i,X1: $i,X2: $i] : s_col(ext(X0,X0,X1,X2),X0,X0),
inference(superposition,[status(thm)],[c_165,c_523154]) ).
tcf(c_538588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_r(ext(X0,s(X1,X0),X2,X3),X0,X1) ),
inference(superposition,[status(thm)],[c_523154,c_187]) ).
tcf(c_538589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X1,ext(X0,s(X1,X0),X2,X3),X4)
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_r(X0,ext(X0,s(X1,X0),X2,X3),X4) ),
inference(superposition,[status(thm)],[c_523154,c_181]) ).
tcf(c_538590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X6,X7,X5)
| ( X6 = X7 )
| ( X1 = X4 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(X6,X7,X4)
| ~ s_col(X6,X7,X1)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X0,X5)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_523154,c_152]) ).
tcf(c_538591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X1,X4,X5)
| ( X1 = X4 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X0,X5)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_523154,c_151]) ).
tcf(c_538592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,s(X1,X0),X2,X3),X1,X4)
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_523154,c_148]) ).
tcf(c_538593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(ext(X0,s(X1,X0),X2,X3),X0,X1)
| s_t(ext(X0,s(X1,X0),X2,X3),X0,X1) ),
inference(superposition,[status(thm)],[c_523154,c_134]) ).
tcf(c_538599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(ext(X0,s(X1,X0),X2,X3),X0,X4,X5,X6)
| ( X5 = X6 )
| ( X4 = X7 )
| ( X1 = X4 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_r(X1,X4,X7)
| ~ s_col(X5,X6,X7)
| ~ s_col(X5,X6,X4)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_523154,c_200]) ).
tcf(c_538635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(s(X0,X1),X0,ext(s(X0,X1),X1,X2,X3)),
inference(superposition,[status(thm)],[c_161,c_523155]) ).
tcf(c_538636,plain,
! [X0: $i,X1: $i,X2: $i] : s_col(X0,X0,ext(X0,X0,X1,X2)),
inference(superposition,[status(thm)],[c_165,c_523155]) ).
tcf(c_538638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ~ s_r(X0,X1,ext(X0,s(X1,X0),X2,X3)) ),
inference(superposition,[status(thm)],[c_523155,c_187]) ).
tcf(c_538639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(ext(X1,s(X0,X1),X3,X4),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523155,c_181]) ).
tcf(c_538640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X7)
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(X2,s(X3,X2),X4,X5) = X6 )
| ~ s_col(X2,X3,X7)
| ~ s_col(X2,X3,X6)
| ~ s_col(X0,X1,X6)
| ~ s_col(X0,X1,ext(X2,s(X3,X2),X4,X5)) ),
inference(superposition,[status(thm)],[c_523155,c_152]) ).
tcf(c_538641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(ext(X0,s(X1,X0),X4,X5),X2,X3)
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X4,X5) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523155,c_151]) ).
tcf(c_538642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X0,s(X1,X0),X3,X4),X2)
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X3,X4) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523155,c_148]) ).
tcf(c_538649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(X0,X1,X4,X6,X7)
| ( X6 = X7 )
| ( X4 = X5 )
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = X4 )
| ~ s_col(X6,X7,X5)
| ~ s_col(X6,X7,X4)
| ~ s_col(X0,X1,X4)
| ~ s_r(ext(X0,s(X1,X0),X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_523155,c_200]) ).
tcf(c_538688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ext(X2,c63(X0,X1,X2),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_481150]) ).
tcf(c_538690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,ins(X3,X4,X0,c63(X1,X2,X0)))
| ~ sameside(X1,X2,X0)
| ~ le(X0,c63(X1,X2,X0),X3,X4) ),
inference(superposition,[status(thm)],[c_110,c_481150]) ).
tcf(c_538691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X2,c63(X0,c63(X1,X2,X0),X3))
| ~ sameside(X1,X2,X0)
| ~ sameside(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_129,c_481150]) ).
tcf(c_538692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X2,c63(X0,c63(X1,X2,X3),X3))
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X3) ),
inference(superposition,[status(thm)],[c_130,c_481150]) ).
tcf(c_538693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X4,insert5(X0,X1,X5,X2,c63(X3,X4,X2)))
| ~ sameside(X3,X4,X2)
| ~ s_t(X0,X1,X5)
| ~ s_e(X0,X1,X2,c63(X3,X4,X2)) ),
inference(superposition,[status(thm)],[c_505149,c_481150]) ).
tcf(c_538694,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,s(c63(X0,X1,X2),X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_481150]) ).
tcf(c_538695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X3,ins(X4,X5,X0,X1))
| s_t(X1,ins(X4,X5,X0,X1),c63(X2,X3,X1))
| ( X0 = X1 )
| ~ sameside(X2,X3,X1)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X3,X1)) ),
inference(superposition,[status(thm)],[c_480738,c_481150]) ).
tcf(c_538696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X3,ins(X4,X5,X0,X1))
| s_t(X0,ins(X4,X5,X0,X1),c63(X2,X3,X0))
| ( X0 = X1 )
| ~ sameside(X2,X3,X0)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_480739,c_481150]) ).
tcf(c_538697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X2,ip(X4,X0,X5,X3,X6))
| s_t(X0,ip(X4,X0,X5,X3,X6),c63(X1,X2,X0))
| ~ sameside(X1,X2,X0)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X6,X5)
| ~ s_t(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_480702,c_481150]) ).
tcf(c_538698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X2,ip(X3,X4,X5,X6,X0))
| s_t(X0,ip(X3,X4,X5,X6,X0),c63(X1,X2,X0))
| ~ sameside(X1,X2,X0)
| ~ s_t(X6,X0,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_480703,c_481150]) ).
tcf(c_538699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X3,ext(X0,X1,X4,X5))
| s_t(X0,ext(X0,X1,X4,X5),c63(X2,X3,X0))
| ( X0 = X1 )
| ~ sameside(X2,X3,X0)
| ~ s_t(X0,X1,c63(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_480599,c_481150]) ).
tcf(c_538701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X3,c63(X0,X1,X4))
| s_t(X0,c63(X0,X1,X4),c63(X2,X3,X0))
| ( X0 = X1 )
| ~ sameside(X2,X3,X0)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_481087,c_481150]) ).
tcf(c_538703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X3,c63(X4,X1,X0))
| s_t(X0,c63(X4,X1,X0),c63(X2,X3,X0))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X2,X3,X0)
| ~ s_t(X0,X1,c63(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_481148,c_481150]) ).
tcf(c_538704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X3,ext(X0,X1,X4,X5))
| s_t(X1,ext(X0,X1,X4,X5),c63(X2,X3,X1))
| ( X0 = X1 )
| ~ sameside(X2,X3,X1)
| ~ s_t(X0,X1,c63(X2,X3,X1)) ),
inference(superposition,[status(thm)],[c_480646,c_481150]) ).
tcf(c_538706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,c63(X0,X1,X4))
| s_t(X1,c63(X0,X1,X4),c63(X2,X3,X1))
| ( X0 = X1 )
| ~ sameside(X2,X3,X1)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X2,X3,X1)) ),
inference(superposition,[status(thm)],[c_481086,c_481150]) ).
tcf(c_538708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,c63(X4,X1,X0))
| s_t(X1,c63(X4,X1,X0),c63(X2,X3,X1))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X2,X3,X1)
| ~ s_t(X0,X1,c63(X2,X3,X1)) ),
inference(superposition,[status(thm)],[c_481147,c_481150]) ).
tcf(c_538709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,ins(X4,X5,X0,c63(X1,X2,X3)))
| ( c63(X1,X2,X3) = X3 )
| ( c63(X1,X2,X3) = X0 )
| ( ins(X4,X5,X0,c63(X1,X2,X3)) = c63(X1,X2,X3) )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X3)
| ~ le(X0,c63(X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481026,c_481150]) ).
tcf(c_538710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X2,c63(X0,c63(X1,X2,X3),X4))
| ( c63(X1,X2,X3) = X4 )
| ( c63(X1,X2,X3) = X3 )
| ~ sameside(X1,X2,X3)
| ~ sameside(X4,c63(X1,X2,X3),X3)
| ~ sameside(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_534516,c_481150]) ).
tcf(c_538711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X2,c63(X0,c63(X1,X2,X3),X4))
| ( c63(X1,X2,X3) = X3 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X4)
| ~ sameside(X0,c63(X1,X2,X3),X3) ),
inference(superposition,[status(thm)],[c_528230,c_481150]) ).
tcf(c_538712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X2,crossbar(X4,X5,X3,X6,X7,X0))
| s_t(X0,crossbar(X4,X5,X3,X6,X7,X0),c63(X1,X2,X0))
| ~ sameside(X1,X2,X0)
| ~ s_t(X6,X7,X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_480706,c_481150]) ).
tcf(c_538713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,X2,crossbar(X4,X0,X5,X7,X3,X6))
| s_t(X0,crossbar(X4,X0,X5,X7,X3,X6),c63(X1,X2,X0))
| ~ sameside(X1,X2,X0)
| ~ s_t(X7,X3,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_480707,c_481150]) ).
tcf(c_538714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,ext(X0,c63(X1,X2,X3),X4,X5))
| ( c63(X1,X2,X3) = X3 )
| ( c63(X1,X2,X3) = X0 )
| ( ext(X0,c63(X1,X2,X3),X4,X5) = c63(X1,X2,X3) )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X3) ),
inference(superposition,[status(thm)],[c_481019,c_481150]) ).
tcf(c_538715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ext(X2,s(c63(X0,X1,X2),X2),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_481150]) ).
tcf(c_538716,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,s(s(c63(X0,X1,X2),X2),X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_481150]) ).
tcf(c_538717,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,s(s(s(c63(X0,X1,X2),X2),X2),X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_481150]) ).
tcf(c_538718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,s(ext(X2,c63(X0,X1,X2),X3,X4),X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_481150]) ).
tcf(c_538887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ip(X5,X1,X4,c63(X0,X1,X2),X3),c63(X0,X1,X2))
| ~ sameside(X0,X1,X2)
| ~ s_t(X5,X1,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_56,c_481151]) ).
tcf(c_538888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ip(c63(X0,X1,X2),X3,X4,X5,X1),c63(X0,X1,X2))
| ~ sameside(X0,X1,X2)
| ~ s_t(X5,X1,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_57,c_481151]) ).
tcf(c_538889,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,c63(X0,X1,X2),c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_72,c_481151]) ).
tcf(c_538891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,crossbar(X0,X1,c63(X2,X3,X4),X5,X6,X3),c63(X2,X3,X4))
| ~ sameside(X2,X3,X4)
| ~ s_t(X0,X3,X5)
| ~ s_t(X5,X6,c63(X2,X3,X4))
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_87,c_481151]) ).
tcf(c_538892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,crossbar(X5,X2,X4,X0,c63(X1,X2,X3),X6),c63(X1,X2,X3))
| ~ sameside(X1,X2,X3)
| ~ s_t(X5,X6,X0)
| ~ s_t(X5,X2,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_88,c_481151]) ).
tcf(c_538895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ext(ext(c63(X3,X2,X4),X2,alpha,gamma),X2,X0,X1),c63(X3,X2,X4))
| ~ sameside(X3,X2,X4)
| ~ le(X0,X1,X2,c63(X3,X2,X4)) ),
inference(superposition,[status(thm)],[c_231,c_481151]) ).
tcf(c_538896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ins(X4,X5,X0,X1),c63(X2,X0,X3))
| s_t(X0,c63(X2,X0,X3),ins(X4,X5,X0,X1))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480739,c_481151]) ).
tcf(c_538897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ins(X4,X5,X0,X1),c63(X2,X1,X3))
| s_t(X1,c63(X2,X1,X3),ins(X4,X5,X0,X1))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480738,c_481151]) ).
tcf(c_538898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ip(X4,X0,X5,X3,X6),c63(X1,X0,X2))
| s_t(X0,c63(X1,X0,X2),ip(X4,X0,X5,X3,X6))
| ~ sameside(X1,X0,X2)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X6,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480702,c_481151]) ).
tcf(c_538899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ip(X4,X0,X5,X1,X6),c63(X2,X0,X3))
| ~ sameside(X2,X0,X3)
| ~ s_t(X4,X0,X5)
| ~ s_t(X1,X6,X5)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480205,c_481151]) ).
tcf(c_538900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X1,c63(X2,ip(X3,X0,X4,X1,X5),X6))
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X5,X4)
| ~ sameside(X2,ip(X3,X0,X4,X1,X5),X6)
| ~ s_t(X0,X1,c63(X2,ip(X3,X0,X4,X1,X5),X6)) ),
inference(superposition,[status(thm)],[c_480135,c_481151]) ).
tcf(c_538901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ip(X0,c63(X1,X2,X3),X4,X2,X5),c63(X1,X2,X3))
| ~ sameside(X1,X2,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480074,c_481151]) ).
tcf(c_538902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ip(X3,X4,X5,X6,X0),c63(X1,X0,X2))
| s_t(X0,c63(X1,X0,X2),ip(X3,X4,X5,X6,X0))
| ~ sameside(X1,X0,X2)
| ~ s_t(X6,X0,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480703,c_481151]) ).
tcf(c_538903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ip(X1,X4,X5,X6,X0),c63(X2,X0,X3))
| ~ sameside(X2,X0,X3)
| ~ s_t(X6,X0,X5)
| ~ s_t(X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480206,c_481151]) ).
tcf(c_538904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X1,c63(X2,ip(X1,X3,X4,X5,X0),X6))
| ~ s_t(X5,X0,X4)
| ~ s_t(X1,X3,X4)
| ~ sameside(X2,ip(X1,X3,X4,X5,X0),X6)
| ~ s_t(X0,X1,c63(X2,ip(X1,X3,X4,X5,X0),X6)) ),
inference(superposition,[status(thm)],[c_480136,c_481151]) ).
tcf(c_538905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ip(X2,X5,X4,X0,c63(X1,X2,X3)),c63(X1,X2,X3))
| ~ sameside(X1,X2,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480075,c_481151]) ).
tcf(c_538906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ext(X0,X1,X4,X5),c63(X2,X0,X3))
| s_t(X0,c63(X2,X0,X3),ext(X0,X1,X4,X5))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480599,c_481151]) ).
tcf(c_538907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,c63(X0,X1,X4),c63(X2,X0,X3))
| s_t(X0,c63(X2,X0,X3),c63(X0,X1,X4))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481087,c_481151]) ).
tcf(c_538909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,c63(X4,X1,X0),c63(X2,X0,X3))
| s_t(X0,c63(X2,X0,X3),c63(X4,X1,X0))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481148,c_481151]) ).
tcf(c_538911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ext(X0,X1,X4,X5),c63(X2,X1,X3))
| s_t(X1,c63(X2,X1,X3),ext(X0,X1,X4,X5))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480646,c_481151]) ).
tcf(c_538912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,c63(X0,X1,X4),c63(X2,X1,X3))
| s_t(X1,c63(X2,X1,X3),c63(X0,X1,X4))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481086,c_481151]) ).
tcf(c_538913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X2,c63(X0,X1,X3))
| s_t(X1,c63(X0,X1,X3),X2)
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_481151]) ).
tcf(c_538914,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,c63(X4,X1,X0),c63(X2,X1,X3))
| s_t(X1,c63(X2,X1,X3),c63(X4,X1,X0))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481147,c_481151]) ).
tcf(c_538915,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,c63(X3,X1,X0),X2)
| s_t(X0,X2,c63(X3,X1,X0))
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_481151]) ).
tcf(c_538918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,ext(ext(c63(X0,X1,X2),X1,alpha,gamma),X1,c63(X0,X1,X2),X3),c63(X0,X1,X2))
| ~ sameside(X0,X1,X2)
| ~ s_t(c63(X0,X1,X2),X3,X1) ),
inference(superposition,[status(thm)],[c_480406,c_481151]) ).
tcf(c_538919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,ext(ext(c63(X2,X0,X3),X0,alpha,gamma),X0,X0,X1),c63(X2,X0,X3))
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480408,c_481151]) ).
tcf(c_538920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,crossbar(X4,X5,X3,X6,X7,X0),c63(X1,X0,X2))
| s_t(X0,c63(X1,X0,X2),crossbar(X4,X5,X3,X6,X7,X0))
| ~ sameside(X1,X0,X2)
| ~ s_t(X6,X7,X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480706,c_481151]) ).
tcf(c_538921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,crossbar(X4,X5,X1,X6,X7,X0),c63(X2,X0,X3))
| ~ sameside(X2,X0,X3)
| ~ s_t(X6,X7,X1)
| ~ s_t(X4,X5,X1)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480256,c_481151]) ).
tcf(c_538922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,X1,c63(X2,crossbar(X3,X4,X1,X5,X6,X0),X7))
| ~ s_t(X5,X6,X1)
| ~ s_t(X3,X4,X1)
| ~ s_t(X3,X0,X5)
| ~ sameside(X2,crossbar(X3,X4,X1,X5,X6,X0),X7)
| ~ s_t(X0,X1,c63(X2,crossbar(X3,X4,X1,X5,X6,X0),X7)) ),
inference(superposition,[status(thm)],[c_480259,c_481151]) ).
tcf(c_538923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,crossbar(X0,X5,X2,X4,X6,c63(X1,X2,X3)),c63(X1,X2,X3))
| ~ sameside(X1,X2,X3)
| ~ s_t(X4,X6,X2)
| ~ s_t(X0,X5,X2)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480262,c_481151]) ).
tcf(c_538924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,crossbar(X4,X0,X5,X7,X1,X6),c63(X2,X0,X3))
| ~ sameside(X2,X0,X3)
| ~ s_t(X7,X1,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480318,c_481151]) ).
tcf(c_538925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,X1,c63(X2,crossbar(X3,X0,X4,X5,X1,X6),X7))
| ~ s_t(X5,X1,X4)
| ~ s_t(X3,X6,X5)
| ~ s_t(X3,X0,X4)
| ~ sameside(X2,crossbar(X3,X0,X4,X5,X1,X6),X7)
| ~ s_t(X0,X1,c63(X2,crossbar(X3,X0,X4,X5,X1,X6),X7)) ),
inference(superposition,[status(thm)],[c_480321,c_481151]) ).
tcf(c_538926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,crossbar(X4,X0,X5,X7,X3,X6),c63(X1,X0,X2))
| s_t(X0,c63(X1,X0,X2),crossbar(X4,X0,X5,X7,X3,X6))
| ~ sameside(X1,X0,X2)
| ~ s_t(X7,X3,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480707,c_481151]) ).
tcf(c_538927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,crossbar(X0,c63(X1,X2,X3),X4,X6,X2,X5),c63(X1,X2,X3))
| ~ sameside(X1,X2,X3)
| ~ s_t(X6,X2,X4)
| ~ s_t(X0,X5,X6)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480324,c_481151]) ).
tcf(c_539198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,c63(X1,X0,X2),X3)
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_481152,c_128]) ).
tcf(c_539208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X0,X1,X2),ext(X1,c63(X0,X1,X2),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_539198]) ).
tcf(c_539210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X1,X0,X2),ins(X3,X4,X0,c63(X1,X0,X2)))
| ~ sameside(X1,X0,X2)
| ~ le(X0,c63(X1,X0,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_110,c_539198]) ).
tcf(c_539211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,c63(X1,X0,X2),c63(X0,c63(X1,X0,X2),X3))
| ~ sameside(X1,X0,X2)
| ~ sameside(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_129,c_539198]) ).
tcf(c_539212,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,c63(X1,X2,X3),c63(X0,c63(X1,X2,X3),X2))
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_130,c_539198]) ).
tcf(c_539213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,c63(X3,X2,X4),insert5(X0,X1,X5,X2,c63(X3,X2,X4)))
| ~ sameside(X3,X2,X4)
| ~ s_t(X0,X1,X5)
| ~ s_e(X0,X1,X2,c63(X3,X2,X4)) ),
inference(superposition,[status(thm)],[c_505149,c_539198]) ).
tcf(c_539214,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,c63(X0,X1,X2),s(c63(X0,X1,X2),X1))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_539198]) ).
tcf(c_539215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,c63(X2,X1,X3),ins(X4,X5,X0,X1))
| s_t(X1,ins(X4,X5,X0,X1),c63(X2,X1,X3))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480738,c_539198]) ).
tcf(c_539216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,c63(X2,X0,X3),ins(X4,X5,X0,X1))
| s_t(X0,ins(X4,X5,X0,X1),c63(X2,X0,X3))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480739,c_539198]) ).
tcf(c_539217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,c63(X1,X0,X2),ip(X4,X0,X5,X3,X6))
| s_t(X0,ip(X4,X0,X5,X3,X6),c63(X1,X0,X2))
| ~ sameside(X1,X0,X2)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X6,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480702,c_539198]) ).
tcf(c_539218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,c63(X1,X0,X2),ip(X3,X4,X5,X6,X0))
| s_t(X0,ip(X3,X4,X5,X6,X0),c63(X1,X0,X2))
| ~ sameside(X1,X0,X2)
| ~ s_t(X6,X0,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480703,c_539198]) ).
tcf(c_539219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,c63(X2,X0,X3),ext(X0,X1,X4,X5))
| s_t(X0,ext(X0,X1,X4,X5),c63(X2,X0,X3))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480599,c_539198]) ).
tcf(c_539221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,c63(X2,X0,X3),c63(X0,X1,X4))
| s_t(X0,c63(X0,X1,X4),c63(X2,X0,X3))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481087,c_539198]) ).
tcf(c_539223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,c63(X2,X0,X3),c63(X4,X1,X0))
| s_t(X0,c63(X4,X1,X0),c63(X2,X0,X3))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481148,c_539198]) ).
tcf(c_539224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,c63(X2,X1,X3),ext(X0,X1,X4,X5))
| s_t(X1,ext(X0,X1,X4,X5),c63(X2,X1,X3))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480646,c_539198]) ).
tcf(c_539225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,c63(X0,X1,X3),X2)
| s_t(X1,X2,c63(X0,X1,X3))
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_539198]) ).
tcf(c_539226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,c63(X2,X1,X3),c63(X0,X1,X4))
| s_t(X1,c63(X0,X1,X4),c63(X2,X1,X3))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481086,c_539198]) ).
tcf(c_539227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X2,c63(X3,X1,X0))
| s_t(X0,c63(X3,X1,X0),X2)
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481147,c_539198]) ).
tcf(c_539228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,c63(X2,X1,X3),c63(X4,X1,X0))
| s_t(X1,c63(X4,X1,X0),c63(X2,X1,X3))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481147,c_539198]) ).
tcf(c_539229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,c63(X1,X2,X3),ins(X4,X5,X0,c63(X1,X2,X3)))
| ( c63(X1,X2,X3) = X2 )
| ( c63(X1,X2,X3) = X0 )
| ( ins(X4,X5,X0,c63(X1,X2,X3)) = c63(X1,X2,X3) )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X2)
| ~ le(X0,c63(X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481026,c_539198]) ).
tcf(c_539230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,c63(X1,X2,X3),c63(X0,c63(X1,X2,X3),X4))
| ( c63(X1,X2,X3) = X4 )
| ( c63(X1,X2,X3) = X2 )
| ~ sameside(X1,X2,X3)
| ~ sameside(X4,c63(X1,X2,X3),X2)
| ~ sameside(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_534516,c_539198]) ).
tcf(c_539231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,c63(X1,X2,X3),c63(X0,c63(X1,X2,X3),X4))
| ( c63(X1,X2,X3) = X2 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X4)
| ~ sameside(X0,c63(X1,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_528230,c_539198]) ).
tcf(c_539232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,c63(X1,X0,X2),crossbar(X4,X5,X3,X6,X7,X0))
| s_t(X0,crossbar(X4,X5,X3,X6,X7,X0),c63(X1,X0,X2))
| ~ sameside(X1,X0,X2)
| ~ s_t(X6,X7,X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480706,c_539198]) ).
tcf(c_539233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,c63(X1,X0,X2),crossbar(X4,X0,X5,X7,X3,X6))
| s_t(X0,crossbar(X4,X0,X5,X7,X3,X6),c63(X1,X0,X2))
| ~ sameside(X1,X0,X2)
| ~ s_t(X7,X3,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480707,c_539198]) ).
tcf(c_539234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,c63(X1,X2,X3),ext(X0,c63(X1,X2,X3),X4,X5))
| ( c63(X1,X2,X3) = X2 )
| ( c63(X1,X2,X3) = X0 )
| ( ext(X0,c63(X1,X2,X3),X4,X5) = c63(X1,X2,X3) )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X2) ),
inference(superposition,[status(thm)],[c_481019,c_539198]) ).
tcf(c_539235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X0,X1,X2),ext(X1,s(c63(X0,X1,X2),X1),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_539198]) ).
tcf(c_539236,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,c63(X0,X1,X2),s(s(c63(X0,X1,X2),X1),X1))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_539198]) ).
tcf(c_539237,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,c63(X0,X1,X2),s(s(s(c63(X0,X1,X2),X1),X1),X1))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_539198]) ).
tcf(c_539238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X0,X1,X2),s(ext(X1,c63(X0,X1,X2),X3,X4),X1))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_539198]) ).
tcf(c_539417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(ext(s(X0,X1),X1,X2,X3),X0,s(X0,X1)),
inference(superposition,[status(thm)],[c_161,c_523173]) ).
tcf(c_539418,plain,
! [X0: $i,X1: $i,X2: $i] : s_t(ext(X0,X0,X1,X2),X0,X0),
inference(superposition,[status(thm)],[c_165,c_523173]) ).
tcf(c_539419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(ext(X0,s(X1,X0),X2,X3),X1,X0,X5,X1,X4) = X1 )
| ~ s_t(X5,X1,X0)
| ~ s_t(ext(X0,s(X1,X0),X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_523173,c_480316]) ).
tcf(c_539420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(ext(X0,s(X1,X0),X2,X3),X1,X0,X4,X5,X0) = X0 )
| ~ s_t(X4,X5,X0)
| ~ s_t(ext(X0,s(X1,X0),X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_523173,c_480254]) ).
tcf(c_539421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ( ext(ext(X0,s(X1,X0),X2,X3),X1,X1,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_523173,c_480013]) ).
tcf(c_539422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ( ext(ext(X0,s(X1,X0),X2,X3),X1,X0,X1) = X0 ) ),
inference(superposition,[status(thm)],[c_523173,c_480011]) ).
tcf(c_539423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(ext(X1,s(X2,X1),X3,X4),X2,X1,X0,ext(X1,s(X2,X1),X3,X4)) = ext(X1,s(X2,X1),X3,X4) )
| ~ s_t(X0,ext(X1,s(X2,X1),X3,X4),X1) ),
inference(superposition,[status(thm)],[c_523173,c_479924]) ).
tcf(c_539424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(ext(X2,s(X0,X2),X3,X4),X0,X2,X0,X1) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523173,c_479914]) ).
tcf(c_539425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,ext(X0,s(X1,X0),X2,X3),X1)
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 ) ),
inference(superposition,[status(thm)],[c_523173,c_238]) ).
tcf(c_539426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,ext(X0,s(X1,X0),X2,X3),X0)
| ( ext(X0,s(X1,X0),X2,X3) = xb )
| ( ext(X0,s(X1,X0),X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_523173,c_237]) ).
tcf(c_539431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ext(X2,s(X1,X2),X3,X4),X2)
| s_t(ext(X2,s(X1,X2),X3,X4),X0,X2)
| ( X1 = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523173,c_147]) ).
tcf(c_539432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,ext(X2,s(X1,X2),X3,X4))
| ( X1 = X2 )
| ( ext(X2,s(X1,X2),X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523173,c_145]) ).
tcf(c_539433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,ext(X2,s(X1,X2),X3,X4))
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,s(X1,X2),X3,X4) = X1 )
| ~ s_col(X0,X1,ext(X2,s(X1,X2),X3,X4)) ),
inference(superposition,[status(thm)],[c_523173,c_143]) ).
tcf(c_539434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ sameside(ext(X0,s(X1,X0),X2,X3),X1,X0),
inference(superposition,[status(thm)],[c_523173,c_133]) ).
tcf(c_539435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(ext(X2,s(X1,X2),X3,X4),X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,s(X1,X2),X3,X4) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523173,c_131]) ).
tcf(c_539436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,X0)
| ( X1 = X4 )
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ~ sameside(ext(X0,s(X1,X0),X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_523173,c_125]) ).
tcf(c_539437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X0,s(X1,X0),X2,X3),X4,X1)
| s_t(ext(X0,s(X1,X0),X2,X3),X1,X4)
| ~ s_t(ext(X0,s(X1,X0),X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_523173,c_109]) ).
tcf(c_539438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X4,X0)
| s_t(X1,X0,X4)
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ~ s_t(ext(X0,s(X1,X0),X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_523173,c_108]) ).
tcf(c_539439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X0,s(X1,X0),X2,X3),X4,X0)
| s_t(ext(X0,s(X1,X0),X2,X3),X0,X4)
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ~ s_t(ext(X0,s(X1,X0),X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_523173,c_107]) ).
tcf(c_539440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X1,s(X0,X1),X3,X4),X0,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523173,c_81]) ).
tcf(c_539441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X0,s(X1,X0),X2,X3),X1,X4)
| ~ s_t(ext(X0,s(X1,X0),X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_523173,c_80]) ).
tcf(c_539442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X2,s(X0,X2),X3,X4),X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523173,c_79]) ).
tcf(c_539443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X1,s(X0,X1),X3,X4),X1,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523173,c_78]) ).
tcf(c_539444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,X4)
| ~ s_t(ext(X0,s(X1,X0),X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_523173,c_77]) ).
tcf(c_539445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X2,s(X0,X2),X3,X4),X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523173,c_76]) ).
tcf(c_539446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X1,s(X0,X1),X2,X3) = X0 )
| ~ s_t(X0,ext(X1,s(X0,X1),X2,X3),X1) ),
inference(superposition,[status(thm)],[c_523173,c_75]) ).
tcf(c_539448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ext(ext(X0,X1,X2,X3),s(X1,ext(X0,X1,X2,X3)),X4,X5) = X1 )
| ( ext(ext(ext(X0,X1,X2,X3),s(X1,ext(X0,X1,X2,X3)),X4,X5),X1,X2,X3) = ext(X0,X1,X2,X3) ) ),
inference(superposition,[status(thm)],[c_523173,c_480012]) ).
tcf(c_539449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ext(ins(X2,X3,X0,X1),s(X0,ins(X2,X3,X0,X1)),X4,X5) = X0 )
| ( ext(ext(ins(X2,X3,X0,X1),s(X0,ins(X2,X3,X0,X1)),X4,X5),X0,X2,X3) = ins(X2,X3,X0,X1) )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_523173,c_480795]) ).
tcf(c_539628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X0,X1,X2),ext(X2,c63(X0,X1,X2),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_52,c_481153]) ).
tcf(c_539630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X1,X2,X0),ins(X3,X4,X0,c63(X1,X2,X0)))
| ~ sameside(X1,X2,X0)
| ~ le(X0,c63(X1,X2,X0),X3,X4) ),
inference(superposition,[status(thm)],[c_110,c_481153]) ).
tcf(c_539631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,c63(X1,X2,X0),c63(X0,c63(X1,X2,X0),X3))
| ~ sameside(X1,X2,X0)
| ~ sameside(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_129,c_481153]) ).
tcf(c_539632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,c63(X1,X2,X3),c63(X0,c63(X1,X2,X3),X3))
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X3) ),
inference(superposition,[status(thm)],[c_130,c_481153]) ).
tcf(c_539633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,c63(X3,X4,X2),insert5(X0,X1,X5,X2,c63(X3,X4,X2)))
| ~ sameside(X3,X4,X2)
| ~ s_t(X0,X1,X5)
| ~ s_e(X0,X1,X2,c63(X3,X4,X2)) ),
inference(superposition,[status(thm)],[c_505149,c_481153]) ).
tcf(c_539634,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,c63(X0,X1,X2),s(c63(X0,X1,X2),X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485940,c_481153]) ).
tcf(c_539635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,c63(X2,X3,X1),ins(X4,X5,X0,X1))
| s_t(X1,ins(X4,X5,X0,X1),c63(X2,X3,X1))
| ( X0 = X1 )
| ~ sameside(X2,X3,X1)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X3,X1)) ),
inference(superposition,[status(thm)],[c_480738,c_481153]) ).
tcf(c_539636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,c63(X2,X3,X0),ins(X4,X5,X0,X1))
| s_t(X0,ins(X4,X5,X0,X1),c63(X2,X3,X0))
| ( X0 = X1 )
| ~ sameside(X2,X3,X0)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_480739,c_481153]) ).
tcf(c_539637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,c63(X1,X2,X0),ip(X4,X0,X5,X3,X6))
| s_t(X0,ip(X4,X0,X5,X3,X6),c63(X1,X2,X0))
| ~ sameside(X1,X2,X0)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X6,X5)
| ~ s_t(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_480702,c_481153]) ).
tcf(c_539638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,c63(X1,X2,X0),ip(X3,X4,X5,X6,X0))
| s_t(X0,ip(X3,X4,X5,X6,X0),c63(X1,X2,X0))
| ~ sameside(X1,X2,X0)
| ~ s_t(X6,X0,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_480703,c_481153]) ).
tcf(c_539639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,c63(X2,X3,X0),ext(X0,X1,X4,X5))
| s_t(X0,ext(X0,X1,X4,X5),c63(X2,X3,X0))
| ( X0 = X1 )
| ~ sameside(X2,X3,X0)
| ~ s_t(X0,X1,c63(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_480599,c_481153]) ).
tcf(c_539641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,c63(X2,X3,X0),c63(X0,X1,X4))
| s_t(X0,c63(X0,X1,X4),c63(X2,X3,X0))
| ( X0 = X1 )
| ~ sameside(X2,X3,X0)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_481087,c_481153]) ).
tcf(c_539643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,c63(X2,X3,X0),c63(X4,X1,X0))
| s_t(X0,c63(X4,X1,X0),c63(X2,X3,X0))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X2,X3,X0)
| ~ s_t(X0,X1,c63(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_481148,c_481153]) ).
tcf(c_539644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,c63(X2,X3,X1),ext(X0,X1,X4,X5))
| s_t(X1,ext(X0,X1,X4,X5),c63(X2,X3,X1))
| ( X0 = X1 )
| ~ sameside(X2,X3,X1)
| ~ s_t(X0,X1,c63(X2,X3,X1)) ),
inference(superposition,[status(thm)],[c_480646,c_481153]) ).
tcf(c_539646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,c63(X2,X3,X1),c63(X0,X1,X4))
| s_t(X1,c63(X0,X1,X4),c63(X2,X3,X1))
| ( X0 = X1 )
| ~ sameside(X2,X3,X1)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X2,X3,X1)) ),
inference(superposition,[status(thm)],[c_481086,c_481153]) ).
tcf(c_539648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,c63(X2,X3,X1),c63(X4,X1,X0))
| s_t(X1,c63(X4,X1,X0),c63(X2,X3,X1))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X2,X3,X1)
| ~ s_t(X0,X1,c63(X2,X3,X1)) ),
inference(superposition,[status(thm)],[c_481147,c_481153]) ).
tcf(c_539649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,c63(X1,X2,X3),ins(X4,X5,X0,c63(X1,X2,X3)))
| ( c63(X1,X2,X3) = X3 )
| ( c63(X1,X2,X3) = X0 )
| ( ins(X4,X5,X0,c63(X1,X2,X3)) = c63(X1,X2,X3) )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X3)
| ~ le(X0,c63(X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481026,c_481153]) ).
tcf(c_539650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X1,X2,X3),c63(X0,c63(X1,X2,X3),X4))
| ( c63(X1,X2,X3) = X4 )
| ( c63(X1,X2,X3) = X3 )
| ~ sameside(X1,X2,X3)
| ~ sameside(X4,c63(X1,X2,X3),X3)
| ~ sameside(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_534516,c_481153]) ).
tcf(c_539651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X1,X2,X3),c63(X0,c63(X1,X2,X3),X4))
| ( c63(X1,X2,X3) = X3 )
| ( c63(X1,X2,X3) = X0 )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X4)
| ~ sameside(X0,c63(X1,X2,X3),X3) ),
inference(superposition,[status(thm)],[c_528230,c_481153]) ).
tcf(c_539652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,c63(X1,X2,X0),crossbar(X4,X5,X3,X6,X7,X0))
| s_t(X0,crossbar(X4,X5,X3,X6,X7,X0),c63(X1,X2,X0))
| ~ sameside(X1,X2,X0)
| ~ s_t(X6,X7,X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_480706,c_481153]) ).
tcf(c_539653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,c63(X1,X2,X0),crossbar(X4,X0,X5,X7,X3,X6))
| s_t(X0,crossbar(X4,X0,X5,X7,X3,X6),c63(X1,X2,X0))
| ~ sameside(X1,X2,X0)
| ~ s_t(X7,X3,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,c63(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_480707,c_481153]) ).
tcf(c_539654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,c63(X1,X2,X3),ext(X0,c63(X1,X2,X3),X4,X5))
| ( c63(X1,X2,X3) = X3 )
| ( c63(X1,X2,X3) = X0 )
| ( ext(X0,c63(X1,X2,X3),X4,X5) = c63(X1,X2,X3) )
| ~ sameside(X1,X2,X3)
| ~ sameside(X0,c63(X1,X2,X3),X3) ),
inference(superposition,[status(thm)],[c_481019,c_481153]) ).
tcf(c_539655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X0,X1,X2),ext(X2,s(c63(X0,X1,X2),X2),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517544,c_481153]) ).
tcf(c_539656,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,c63(X0,X1,X2),s(s(c63(X0,X1,X2),X2),X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517551,c_481153]) ).
tcf(c_539657,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,c63(X0,X1,X2),s(s(s(c63(X0,X1,X2),X2),X2),X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517650,c_481153]) ).
tcf(c_539658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X0,X1,X2),s(ext(X2,c63(X0,X1,X2),X3,X4),X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_495727,c_481153]) ).
tcf(c_539978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,ip(X5,X1,X4,c63(X0,X1,X2),X3))
| ~ sameside(X0,X1,X2)
| ~ s_t(X5,X1,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_56,c_481154]) ).
tcf(c_539979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,ip(c63(X0,X1,X2),X3,X4,X5,X1))
| ~ sameside(X0,X1,X2)
| ~ s_t(X5,X1,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_57,c_481154]) ).
tcf(c_539982,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X3,crossbar(X0,X1,c63(X2,X3,X4),X5,X6,X3))
| ~ sameside(X2,X3,X4)
| ~ s_t(X0,X3,X5)
| ~ s_t(X5,X6,c63(X2,X3,X4))
| ~ s_t(X0,X1,c63(X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_87,c_481154]) ).
tcf(c_539983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X2,crossbar(X5,X2,X4,X0,c63(X1,X2,X3),X6))
| ~ sameside(X1,X2,X3)
| ~ s_t(X5,X6,X0)
| ~ s_t(X5,X2,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_88,c_481154]) ).
tcf(c_539986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X2,ext(ext(c63(X3,X2,X4),X2,alpha,gamma),X2,X0,X1))
| ~ sameside(X3,X2,X4)
| ~ le(X0,X1,X2,c63(X3,X2,X4)) ),
inference(superposition,[status(thm)],[c_231,c_481154]) ).
tcf(c_539987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X0,ins(X4,X5,X0,X1))
| s_t(X0,c63(X2,X0,X3),ins(X4,X5,X0,X1))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480739,c_481154]) ).
tcf(c_539988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X1,ins(X4,X5,X0,X1))
| s_t(X1,c63(X2,X1,X3),ins(X4,X5,X0,X1))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480738,c_481154]) ).
tcf(c_539989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X0,ip(X4,X0,X5,X3,X6))
| s_t(X0,c63(X1,X0,X2),ip(X4,X0,X5,X3,X6))
| ~ sameside(X1,X0,X2)
| ~ s_t(X4,X0,X5)
| ~ s_t(X3,X6,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480702,c_481154]) ).
tcf(c_539990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X0,ip(X4,X0,X5,X1,X6))
| ~ sameside(X2,X0,X3)
| ~ s_t(X4,X0,X5)
| ~ s_t(X1,X6,X5)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480205,c_481154]) ).
tcf(c_539991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,ip(X3,X0,X4,X1,X5),X1)
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X5,X4)
| ~ sameside(X2,ip(X3,X0,X4,X1,X5),X6)
| ~ s_t(X0,X1,c63(X2,ip(X3,X0,X4,X1,X5),X6)) ),
inference(superposition,[status(thm)],[c_480135,c_481154]) ).
tcf(c_539992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,ip(X0,c63(X1,X2,X3),X4,X2,X5))
| ~ sameside(X1,X2,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480074,c_481154]) ).
tcf(c_539993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X0,ip(X3,X4,X5,X6,X0))
| s_t(X0,c63(X1,X0,X2),ip(X3,X4,X5,X6,X0))
| ~ sameside(X1,X0,X2)
| ~ s_t(X6,X0,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480703,c_481154]) ).
tcf(c_539994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X0,ip(X1,X4,X5,X6,X0))
| ~ sameside(X2,X0,X3)
| ~ s_t(X6,X0,X5)
| ~ s_t(X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480206,c_481154]) ).
tcf(c_539995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,ip(X1,X3,X4,X5,X0),X1)
| ~ s_t(X5,X0,X4)
| ~ s_t(X1,X3,X4)
| ~ sameside(X2,ip(X1,X3,X4,X5,X0),X6)
| ~ s_t(X0,X1,c63(X2,ip(X1,X3,X4,X5,X0),X6)) ),
inference(superposition,[status(thm)],[c_480136,c_481154]) ).
tcf(c_539996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,ip(X2,X5,X4,X0,c63(X1,X2,X3)))
| ~ sameside(X1,X2,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480075,c_481154]) ).
tcf(c_539997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X0,ext(X0,X1,X4,X5))
| s_t(X0,c63(X2,X0,X3),ext(X0,X1,X4,X5))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480599,c_481154]) ).
tcf(c_539998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X0,c63(X0,X1,X4))
| s_t(X0,c63(X2,X0,X3),c63(X0,X1,X4))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481087,c_481154]) ).
tcf(c_540000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X0,c63(X4,X1,X0))
| s_t(X0,c63(X2,X0,X3),c63(X4,X1,X0))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481148,c_481154]) ).
tcf(c_540002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X1,ext(X0,X1,X4,X5))
| s_t(X1,c63(X2,X1,X3),ext(X0,X1,X4,X5))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480646,c_481154]) ).
tcf(c_540003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X1,c63(X0,X1,X4))
| s_t(X1,c63(X2,X1,X3),c63(X0,X1,X4))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X4)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481086,c_481154]) ).
tcf(c_540004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X1,X2)
| s_t(X1,c63(X0,X1,X3),X2)
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481086,c_481154]) ).
tcf(c_540005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X1,c63(X4,X1,X0))
| s_t(X1,c63(X2,X1,X3),c63(X4,X1,X0))
| ( X0 = X1 )
| ~ sameside(X4,X1,X0)
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481147,c_481154]) ).
tcf(c_540009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X1,ext(ext(c63(X0,X1,X2),X1,alpha,gamma),X1,c63(X0,X1,X2),X3))
| ~ sameside(X0,X1,X2)
| ~ s_t(c63(X0,X1,X2),X3,X1) ),
inference(superposition,[status(thm)],[c_480406,c_481154]) ).
tcf(c_540010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X0,ext(ext(c63(X2,X0,X3),X0,alpha,gamma),X0,X0,X1))
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480408,c_481154]) ).
tcf(c_540011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X0,crossbar(X4,X5,X3,X6,X7,X0))
| s_t(X0,c63(X1,X0,X2),crossbar(X4,X5,X3,X6,X7,X0))
| ~ sameside(X1,X0,X2)
| ~ s_t(X6,X7,X3)
| ~ s_t(X4,X5,X3)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480706,c_481154]) ).
tcf(c_540012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X0,crossbar(X4,X5,X1,X6,X7,X0))
| ~ sameside(X2,X0,X3)
| ~ s_t(X6,X7,X1)
| ~ s_t(X4,X5,X1)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480256,c_481154]) ).
tcf(c_540013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,crossbar(X3,X4,X1,X5,X6,X0),X1)
| ~ s_t(X5,X6,X1)
| ~ s_t(X3,X4,X1)
| ~ s_t(X3,X0,X5)
| ~ sameside(X2,crossbar(X3,X4,X1,X5,X6,X0),X7)
| ~ s_t(X0,X1,c63(X2,crossbar(X3,X4,X1,X5,X6,X0),X7)) ),
inference(superposition,[status(thm)],[c_480259,c_481154]) ).
tcf(c_540014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X2,crossbar(X0,X5,X2,X4,X6,c63(X1,X2,X3)))
| ~ sameside(X1,X2,X3)
| ~ s_t(X4,X6,X2)
| ~ s_t(X0,X5,X2)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480262,c_481154]) ).
tcf(c_540015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X0,crossbar(X4,X0,X5,X7,X1,X6))
| ~ sameside(X2,X0,X3)
| ~ s_t(X7,X1,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_480318,c_481154]) ).
tcf(c_540016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,crossbar(X3,X0,X4,X5,X1,X6),X1)
| ~ s_t(X5,X1,X4)
| ~ s_t(X3,X6,X5)
| ~ s_t(X3,X0,X4)
| ~ sameside(X2,crossbar(X3,X0,X4,X5,X1,X6),X7)
| ~ s_t(X0,X1,c63(X2,crossbar(X3,X0,X4,X5,X1,X6),X7)) ),
inference(superposition,[status(thm)],[c_480321,c_481154]) ).
tcf(c_540017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X0,crossbar(X4,X0,X5,X7,X3,X6))
| s_t(X0,c63(X1,X0,X2),crossbar(X4,X0,X5,X7,X3,X6))
| ~ sameside(X1,X0,X2)
| ~ s_t(X7,X3,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_480707,c_481154]) ).
tcf(c_540018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X2,crossbar(X0,c63(X1,X2,X3),X4,X6,X2,X5))
| ~ sameside(X1,X2,X3)
| ~ s_t(X6,X2,X4)
| ~ s_t(X0,X5,X6)
| ~ s_t(X0,c63(X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_480324,c_481154]) ).
tcf(c_540236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,c63(X2,X0,ins(X3,X4,X0,X1)),ins(X3,X4,X0,X1))
| ( X0 = X1 )
| ( ins(X3,X4,X0,X1) = X0 )
| ~ le(X0,X1,X3,X4)
| ~ sameside(X2,X0,ins(X3,X4,X0,X1))
| ~ s_t(X0,X1,c63(X2,X0,ins(X3,X4,X0,X1))) ),
inference(superposition,[status(thm)],[c_480739,c_481155]) ).
tcf(c_540237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X2,X1,ins(X3,X4,X0,X1)),ins(X3,X4,X0,X1))
| ( X0 = X1 )
| ( ins(X3,X4,X0,X1) = X1 )
| ~ le(X0,X1,X3,X4)
| ~ sameside(X2,X1,ins(X3,X4,X0,X1))
| ~ s_t(X0,X1,c63(X2,X1,ins(X3,X4,X0,X1))) ),
inference(superposition,[status(thm)],[c_480738,c_481155]) ).
tcf(c_540238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,c63(X1,X0,ip(X2,X0,X3,X4,X5)),ip(X2,X0,X3,X4,X5))
| ( ip(X2,X0,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X3)
| ~ sameside(X1,X0,ip(X2,X0,X3,X4,X5))
| ~ s_t(X0,c63(X1,X0,ip(X2,X0,X3,X4,X5)),X4) ),
inference(superposition,[status(thm)],[c_480702,c_481155]) ).
tcf(c_540239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X3,X0,X4,X1,X5) = X0 )
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X5,X4)
| ~ sameside(X2,X0,ip(X3,X0,X4,X1,X5))
| ~ s_t(X0,X1,c63(X2,X0,ip(X3,X0,X4,X1,X5))) ),
inference(superposition,[status(thm)],[c_480205,c_481155]) ).
tcf(c_540240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X3,X0,X4,X1,X5) = X1 )
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X5,X4)
| ~ sameside(X2,ip(X3,X0,X4,X1,X5),X1)
| ~ s_t(X0,X1,c63(X2,ip(X3,X0,X4,X1,X5),X1)) ),
inference(superposition,[status(thm)],[c_480135,c_481155]) ).
tcf(c_540241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,c63(X1,X0,ip(X2,X3,X4,X5,X0)),ip(X2,X3,X4,X5,X0))
| ( ip(X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4)
| ~ sameside(X1,X0,ip(X2,X3,X4,X5,X0))
| ~ s_t(X0,c63(X1,X0,ip(X2,X3,X4,X5,X0)),X2) ),
inference(superposition,[status(thm)],[c_480703,c_481155]) ).
tcf(c_540242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X1,X3,X4,X5,X0) = X0 )
| ~ s_t(X5,X0,X4)
| ~ s_t(X1,X3,X4)
| ~ sameside(X2,X0,ip(X1,X3,X4,X5,X0))
| ~ s_t(X0,X1,c63(X2,X0,ip(X1,X3,X4,X5,X0))) ),
inference(superposition,[status(thm)],[c_480206,c_481155]) ).
tcf(c_540243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X1,X3,X4,X5,X0) = X1 )
| ~ s_t(X5,X0,X4)
| ~ s_t(X1,X3,X4)
| ~ sameside(X2,ip(X1,X3,X4,X5,X0),X1)
| ~ s_t(X0,X1,c63(X2,ip(X1,X3,X4,X5,X0),X1)) ),
inference(superposition,[status(thm)],[c_480136,c_481155]) ).
tcf(c_540244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,c63(X2,X0,ext(X0,X1,X3,X4)),ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X0 )
| ~ sameside(X2,X0,ext(X0,X1,X3,X4))
| ~ s_t(X0,X1,c63(X2,X0,ext(X0,X1,X3,X4))) ),
inference(superposition,[status(thm)],[c_480599,c_481155]) ).
tcf(c_540245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,c63(X2,X0,c63(X0,X1,X3)),c63(X0,X1,X3))
| ( X0 = X1 )
| ( c63(X0,X1,X3) = X0 )
| ~ sameside(X0,X1,X3)
| ~ sameside(X2,X0,c63(X0,X1,X3))
| ~ s_t(X0,X1,c63(X2,X0,c63(X0,X1,X3))) ),
inference(superposition,[status(thm)],[c_481087,c_481155]) ).
tcf(c_540247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,c63(X2,X0,c63(X3,X1,X0)),c63(X3,X1,X0))
| ( X0 = X1 )
| ( c63(X3,X1,X0) = X0 )
| ~ sameside(X3,X1,X0)
| ~ sameside(X2,X0,c63(X3,X1,X0))
| ~ s_t(X0,X1,c63(X2,X0,c63(X3,X1,X0))) ),
inference(superposition,[status(thm)],[c_481148,c_481155]) ).
tcf(c_540249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X2,X1,ext(X0,X1,X3,X4)),ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X1 )
| ~ sameside(X2,X1,ext(X0,X1,X3,X4))
| ~ s_t(X0,X1,c63(X2,X1,ext(X0,X1,X3,X4))) ),
inference(superposition,[status(thm)],[c_480646,c_481155]) ).
tcf(c_540250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,c63(X2,X1,c63(X0,X1,X3)),c63(X0,X1,X3))
| ( X0 = X1 )
| ( c63(X0,X1,X3) = X1 )
| ~ sameside(X0,X1,X3)
| ~ sameside(X2,X1,c63(X0,X1,X3))
| ~ s_t(X0,X1,c63(X2,X1,c63(X0,X1,X3))) ),
inference(superposition,[status(thm)],[c_481086,c_481155]) ).
tcf(c_540252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,c63(X2,X1,c63(X3,X1,X0)),c63(X3,X1,X0))
| ( X0 = X1 )
| ( c63(X3,X1,X0) = X1 )
| ~ sameside(X3,X1,X0)
| ~ sameside(X2,X1,c63(X3,X1,X0))
| ~ s_t(X0,X1,c63(X2,X1,c63(X3,X1,X0))) ),
inference(superposition,[status(thm)],[c_481147,c_481155]) ).
tcf(c_540253,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,c63(X2,X1,X0),X0)
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_481147,c_481155]) ).
tcf(c_540256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,c63(X1,X0,crossbar(X2,X3,X4,X5,X6,X0)),crossbar(X2,X3,X4,X5,X6,X0))
| ( crossbar(X2,X3,X4,X5,X6,X0) = X0 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X0,X5)
| ~ sameside(X1,X0,crossbar(X2,X3,X4,X5,X6,X0))
| ~ s_t(X0,c63(X1,X0,crossbar(X2,X3,X4,X5,X6,X0)),X4) ),
inference(superposition,[status(thm)],[c_480706,c_481155]) ).
tcf(c_540257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X3,X4,X1,X5,X6,X0) = X0 )
| ~ s_t(X5,X6,X1)
| ~ s_t(X3,X4,X1)
| ~ s_t(X3,X0,X5)
| ~ sameside(X2,X0,crossbar(X3,X4,X1,X5,X6,X0))
| ~ s_t(X0,X1,c63(X2,X0,crossbar(X3,X4,X1,X5,X6,X0))) ),
inference(superposition,[status(thm)],[c_480256,c_481155]) ).
tcf(c_540258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X3,X4,X1,X5,X6,X0) = X1 )
| ~ s_t(X5,X6,X1)
| ~ s_t(X3,X4,X1)
| ~ s_t(X3,X0,X5)
| ~ sameside(X2,crossbar(X3,X4,X1,X5,X6,X0),X1)
| ~ s_t(X0,X1,c63(X2,crossbar(X3,X4,X1,X5,X6,X0),X1)) ),
inference(superposition,[status(thm)],[c_480259,c_481155]) ).
tcf(c_540259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X3,X0,X4,X5,X1,X6) = X0 )
| ~ s_t(X5,X1,X4)
| ~ s_t(X3,X6,X5)
| ~ s_t(X3,X0,X4)
| ~ sameside(X2,X0,crossbar(X3,X0,X4,X5,X1,X6))
| ~ s_t(X0,X1,c63(X2,X0,crossbar(X3,X0,X4,X5,X1,X6))) ),
inference(superposition,[status(thm)],[c_480318,c_481155]) ).
tcf(c_540260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(X3,X0,X4,X5,X1,X6) = X1 )
| ~ s_t(X5,X1,X4)
| ~ s_t(X3,X6,X5)
| ~ s_t(X3,X0,X4)
| ~ sameside(X2,crossbar(X3,X0,X4,X5,X1,X6),X1)
| ~ s_t(X0,X1,c63(X2,crossbar(X3,X0,X4,X5,X1,X6),X1)) ),
inference(superposition,[status(thm)],[c_480321,c_481155]) ).
tcf(c_540261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,c63(X1,X0,crossbar(X2,X0,X3,X4,X5,X6)),crossbar(X2,X0,X3,X4,X5,X6))
| ( crossbar(X2,X0,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X0,X3)
| ~ sameside(X1,X0,crossbar(X2,X0,X3,X4,X5,X6))
| ~ s_t(X0,c63(X1,X0,crossbar(X2,X0,X3,X4,X5,X6)),X5) ),
inference(superposition,[status(thm)],[c_480707,c_481155]) ).
tcf(c_540428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(c63(X0,X1,X2),X1,X2,X4,X1,X3) = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X4,X1,X2)
| ~ s_t(c63(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_481156,c_480316]) ).
tcf(c_540429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(c63(X0,X1,X2),X1,X2,X3,X4,X2) = X2 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X3,X4,X2)
| ~ s_t(c63(X0,X1,X2),X2,X3) ),
inference(superposition,[status(thm)],[c_481156,c_480254]) ).
tcf(c_540430,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c63(X0,X1,X2) = X1 )
| ( ext(c63(X0,X1,X2),X1,X1,X2) = X2 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481156,c_480013]) ).
tcf(c_540431,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c63(X0,X1,X2) = X1 )
| ( ext(c63(X0,X1,X2),X1,X2,X1) = X2 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481156,c_480011]) ).
tcf(c_540432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(c63(X1,X2,X3),X2,X3,X0,c63(X1,X2,X3)) = c63(X1,X2,X3) )
| ~ sameside(X1,X2,X3)
| ~ s_t(X0,c63(X1,X2,X3),X3) ),
inference(superposition,[status(thm)],[c_481156,c_479924]) ).
tcf(c_540433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(c63(X3,X0,X2),X0,X2,X0,X1) = X0 )
| ~ sameside(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481156,c_479914]) ).
tcf(c_540434,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,c63(X0,X1,X2),X1)
| ( c63(X0,X1,X2) = X2 )
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481156,c_238]) ).
tcf(c_540435,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X1,c63(X0,X1,X2),X2)
| ( c63(X0,X1,X2) = xb )
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481156,c_237]) ).
tcf(c_540436,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X2,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481156,c_225]) ).
tcf(c_540437,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X2,c63(X0,X1,X2),X1)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481156,c_224]) ).
tcf(c_540438,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(c63(X0,X1,X2),X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481156,c_223]) ).
tcf(c_540440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,c63(X3,X1,X2),X2)
| s_t(c63(X3,X1,X2),X0,X2)
| ( X1 = X2 )
| ~ sameside(X3,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481156,c_147]) ).
tcf(c_540441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X3,X1,c63(X0,X1,X2))
| ( X1 = X2 )
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X3,X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481156,c_145]) ).
tcf(c_540442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X3)
| sameside(X0,X1,c63(X2,X1,X3))
| ( X1 = X3 )
| ( X0 = X1 )
| ( c63(X2,X1,X3) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_col(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481156,c_143]) ).
tcf(c_540443,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ sameside(X0,X1,X2)
| ~ sameside(c63(X0,X1,X2),X1,X2) ),
inference(superposition,[status(thm)],[c_481156,c_133]) ).
tcf(c_540444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(c63(X3,X1,X2),X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( c63(X3,X1,X2) = X1 )
| ~ sameside(X3,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481156,c_131]) ).
tcf(c_540445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X1,X2)
| ( X1 = X3 )
| ( X1 = X2 )
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X0,X1,X2)
| ~ sameside(c63(X0,X1,X2),X1,X3) ),
inference(superposition,[status(thm)],[c_481156,c_125]) ).
tcf(c_540446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(c63(X0,X1,X2),X3,X1)
| s_t(c63(X0,X1,X2),X1,X3)
| ~ sameside(X0,X1,X2)
| ~ s_t(c63(X0,X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_481156,c_109]) ).
tcf(c_540447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X3,X2)
| s_t(X1,X2,X3)
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(c63(X0,X1,X2),X1,X3) ),
inference(superposition,[status(thm)],[c_481156,c_108]) ).
tcf(c_540448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(c63(X0,X1,X2),X3,X2)
| s_t(c63(X0,X1,X2),X2,X3)
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(c63(X0,X1,X2),X1,X3) ),
inference(superposition,[status(thm)],[c_481156,c_107]) ).
tcf(c_540449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(c63(X3,X0,X1),X0,X2)
| ( X0 = X1 )
| ~ sameside(X3,X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481156,c_81]) ).
tcf(c_540450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(c63(X0,X1,X2),X1,X3)
| ~ sameside(X0,X1,X2)
| ~ s_t(c63(X0,X1,X2),X2,X3) ),
inference(superposition,[status(thm)],[c_481156,c_80]) ).
tcf(c_540451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(c63(X3,X0,X2),X1,X2)
| ~ sameside(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481156,c_79]) ).
tcf(c_540452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(c63(X3,X0,X1),X1,X2)
| ( X0 = X1 )
| ~ sameside(X3,X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481156,c_78]) ).
tcf(c_540453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X2,X3)
| ~ sameside(X0,X1,X2)
| ~ s_t(c63(X0,X1,X2),X2,X3) ),
inference(superposition,[status(thm)],[c_481156,c_77]) ).
tcf(c_540454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(c63(X3,X0,X2),X0,X1)
| ~ sameside(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481156,c_76]) ).
tcf(c_540455,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c63(X1,X0,X2) = X0 )
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,c63(X1,X0,X2),X2) ),
inference(superposition,[status(thm)],[c_481156,c_75]) ).
tcf(c_540457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c63(X0,X1,ext(X2,X1,X3,X4)) = X1 )
| ( ext(c63(X0,X1,ext(X2,X1,X3,X4)),X1,X3,X4) = ext(X2,X1,X3,X4) )
| ~ sameside(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481156,c_480012]) ).
tcf(c_540458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( c63(X0,X1,ins(X2,X3,X1,X4)) = X1 )
| ( ext(c63(X0,X1,ins(X2,X3,X1,X4)),X1,X2,X3) = ins(X2,X3,X1,X4) )
| ~ le(X1,X4,X2,X3)
| ~ sameside(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_481156,c_480795]) ).
tcf(c_540658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,X1,ext(ext(X0,X1,X2,X3),X1,X4,X5))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( ext(ext(X0,X1,X2,X3),X1,X4,X5) = X1 ) ),
inference(superposition,[status(thm)],[c_480073,c_481222]) ).
tcf(c_540659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,X0,s(X0,ext(X1,X0,X2,X3)))
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( s(X0,ext(X1,X0,X2,X3)) = X0 ) ),
inference(superposition,[status(thm)],[c_485941,c_481222]) ).
tcf(c_540660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,c63(ext(X0,X1,X2,X3),X1,X4))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( c63(ext(X0,X1,X2,X3),X1,X4) = X1 )
| ~ sameside(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481095,c_481222]) ).
tcf(c_540661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,X1,c63(X0,X1,ext(X2,X1,X3,X4)))
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X1 )
| ( c63(X0,X1,ext(X2,X1,X3,X4)) = X1 )
| ~ sameside(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481156,c_481222]) ).
tcf(c_540662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X2,ins(X3,X4,X0,X1),X0)
| s_t(X0,ext(X2,ins(X3,X4,X0,X1),X5,X6),ins(X3,X4,X0,X1))
| ( X0 = X1 )
| ( ins(X3,X4,X0,X1) = X2 )
| ( ins(X3,X4,X0,X1) = X0 )
| ( ext(X2,ins(X3,X4,X0,X1),X5,X6) = ins(X3,X4,X0,X1) )
| ~ le(X0,X1,X3,X4)
| ~ s_t(X0,X1,ext(X2,ins(X3,X4,X0,X1),X5,X6)) ),
inference(superposition,[status(thm)],[c_480739,c_481222]) ).
tcf(c_540663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X2,ins(X3,X4,X0,X1),X1)
| s_t(X1,ext(X2,ins(X3,X4,X0,X1),X5,X6),ins(X3,X4,X0,X1))
| ( X0 = X1 )
| ( ins(X3,X4,X0,X1) = X2 )
| ( ins(X3,X4,X0,X1) = X1 )
| ( ext(X2,ins(X3,X4,X0,X1),X5,X6) = ins(X3,X4,X0,X1) )
| ~ le(X0,X1,X3,X4)
| ~ s_t(X0,X1,ext(X2,ins(X3,X4,X0,X1),X5,X6)) ),
inference(superposition,[status(thm)],[c_480738,c_481222]) ).
tcf(c_540664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,X1,ins(X4,X5,ext(X0,X1,X2,X3),X1))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( ins(X4,X5,ext(X0,X1,X2,X3),X1) = X1 )
| ~ le(ext(X0,X1,X2,X3),X1,X4,X5) ),
inference(superposition,[status(thm)],[c_480747,c_481222]) ).
tcf(c_540665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X1,ip(X2,X0,X3,X4,X5),X0)
| s_t(X0,ext(X1,ip(X2,X0,X3,X4,X5),X6,X7),ip(X2,X0,X3,X4,X5))
| ( ip(X2,X0,X3,X4,X5) = X1 )
| ( ip(X2,X0,X3,X4,X5) = X0 )
| ( ext(X1,ip(X2,X0,X3,X4,X5),X6,X7) = ip(X2,X0,X3,X4,X5) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,ext(X1,ip(X2,X0,X3,X4,X5),X6,X7),X4) ),
inference(superposition,[status(thm)],[c_480702,c_481222]) ).
tcf(c_540666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X2,ip(X3,X0,X4,X1,X5),X0)
| ( ip(X3,X0,X4,X1,X5) = X2 )
| ( ip(X3,X0,X4,X1,X5) = X0 )
| ( ext(X2,ip(X3,X0,X4,X1,X5),X6,X7) = ip(X3,X0,X4,X1,X5) )
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X5,X4)
| ~ s_t(X0,X1,ext(X2,ip(X3,X0,X4,X1,X5),X6,X7)) ),
inference(superposition,[status(thm)],[c_480205,c_481222]) ).
tcf(c_540667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X2,X1,ip(X5,X0,X6,X1,X7))
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X1 )
| ( ip(X5,X0,X6,X1,X7) = X1 )
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X7,X6)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480135,c_481222]) ).
tcf(c_540668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X1,ip(X2,X3,X4,X5,X0),X0)
| s_t(X0,ext(X1,ip(X2,X3,X4,X5,X0),X6,X7),ip(X2,X3,X4,X5,X0))
| ( ip(X2,X3,X4,X5,X0) = X1 )
| ( ip(X2,X3,X4,X5,X0) = X0 )
| ( ext(X1,ip(X2,X3,X4,X5,X0),X6,X7) = ip(X2,X3,X4,X5,X0) )
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,ext(X1,ip(X2,X3,X4,X5,X0),X6,X7),X2) ),
inference(superposition,[status(thm)],[c_480703,c_481222]) ).
tcf(c_540669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X2,ip(X1,X3,X4,X5,X0),X0)
| ( ip(X1,X3,X4,X5,X0) = X2 )
| ( ip(X1,X3,X4,X5,X0) = X0 )
| ( ext(X2,ip(X1,X3,X4,X5,X0),X6,X7) = ip(X1,X3,X4,X5,X0) )
| ~ s_t(X5,X0,X4)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,ext(X2,ip(X1,X3,X4,X5,X0),X6,X7)) ),
inference(superposition,[status(thm)],[c_480206,c_481222]) ).
tcf(c_540670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X2,X1,ip(X1,X5,X6,X7,X0))
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X1 )
| ( ip(X1,X5,X6,X7,X0) = X1 )
| ~ s_t(X7,X0,X6)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480136,c_481222]) ).
tcf(c_540671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X2,ext(X0,X1,X3,X4),X0)
| s_t(X0,ext(X2,ext(X0,X1,X3,X4),X5,X6),ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X2 )
| ( ext(X0,X1,X3,X4) = X0 )
| ( ext(X2,ext(X0,X1,X3,X4),X5,X6) = ext(X0,X1,X3,X4) )
| ~ s_t(X0,X1,ext(X2,ext(X0,X1,X3,X4),X5,X6)) ),
inference(superposition,[status(thm)],[c_480599,c_481222]) ).
tcf(c_540672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X0)
| s_t(X0,ext(X0,X1,X2,X3),X1)
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_480599,c_481222]) ).
tcf(c_540673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X2,c63(X0,X1,X3),X0)
| s_t(X0,ext(X2,c63(X0,X1,X3),X4,X5),c63(X0,X1,X3))
| ( X0 = X1 )
| ( c63(X0,X1,X3) = X2 )
| ( c63(X0,X1,X3) = X0 )
| ( ext(X2,c63(X0,X1,X3),X4,X5) = c63(X0,X1,X3) )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,ext(X2,c63(X0,X1,X3),X4,X5)) ),
inference(superposition,[status(thm)],[c_481087,c_481222]) ).
tcf(c_540674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X2,c63(X3,X1,X0),X0)
| s_t(X0,ext(X2,c63(X3,X1,X0),X4,X5),c63(X3,X1,X0))
| ( X0 = X1 )
| ( c63(X3,X1,X0) = X2 )
| ( c63(X3,X1,X0) = X0 )
| ( ext(X2,c63(X3,X1,X0),X4,X5) = c63(X3,X1,X0) )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,ext(X2,c63(X3,X1,X0),X4,X5)) ),
inference(superposition,[status(thm)],[c_481148,c_481222]) ).
tcf(c_540675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X2,ext(X0,X1,X3,X4),X1)
| s_t(X1,ext(X2,ext(X0,X1,X3,X4),X5,X6),ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X2 )
| ( ext(X0,X1,X3,X4) = X1 )
| ( ext(X2,ext(X0,X1,X3,X4),X5,X6) = ext(X0,X1,X3,X4) )
| ~ s_t(X0,X1,ext(X2,ext(X0,X1,X3,X4),X5,X6)) ),
inference(superposition,[status(thm)],[c_480646,c_481222]) ).
tcf(c_540677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X2,c63(X0,X1,X3),X1)
| s_t(X1,ext(X2,c63(X0,X1,X3),X4,X5),c63(X0,X1,X3))
| ( X0 = X1 )
| ( c63(X0,X1,X3) = X2 )
| ( c63(X0,X1,X3) = X1 )
| ( ext(X2,c63(X0,X1,X3),X4,X5) = c63(X0,X1,X3) )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,ext(X2,c63(X0,X1,X3),X4,X5)) ),
inference(superposition,[status(thm)],[c_481086,c_481222]) ).
tcf(c_540678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X2,c63(X3,X1,X0),X1)
| s_t(X1,ext(X2,c63(X3,X1,X0),X4,X5),c63(X3,X1,X0))
| ( X0 = X1 )
| ( c63(X3,X1,X0) = X2 )
| ( c63(X3,X1,X0) = X1 )
| ( ext(X2,c63(X3,X1,X0),X4,X5) = c63(X3,X1,X0) )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,ext(X2,c63(X3,X1,X0),X4,X5)) ),
inference(superposition,[status(thm)],[c_481147,c_481222]) ).
tcf(c_540679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X1,crossbar(X2,X3,X4,X5,X6,X0),X0)
| s_t(X0,ext(X1,crossbar(X2,X3,X4,X5,X6,X0),X7,X8),crossbar(X2,X3,X4,X5,X6,X0))
| ( crossbar(X2,X3,X4,X5,X6,X0) = X1 )
| ( crossbar(X2,X3,X4,X5,X6,X0) = X0 )
| ( ext(X1,crossbar(X2,X3,X4,X5,X6,X0),X7,X8) = crossbar(X2,X3,X4,X5,X6,X0) )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X0,X5)
| ~ s_t(X0,ext(X1,crossbar(X2,X3,X4,X5,X6,X0),X7,X8),X4) ),
inference(superposition,[status(thm)],[c_480706,c_481222]) ).
tcf(c_540680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X2,crossbar(X3,X4,X1,X5,X6,X0),X0)
| ( crossbar(X3,X4,X1,X5,X6,X0) = X2 )
| ( crossbar(X3,X4,X1,X5,X6,X0) = X0 )
| ( ext(X2,crossbar(X3,X4,X1,X5,X6,X0),X7,X8) = crossbar(X3,X4,X1,X5,X6,X0) )
| ~ s_t(X5,X6,X1)
| ~ s_t(X3,X4,X1)
| ~ s_t(X3,X0,X5)
| ~ s_t(X0,X1,ext(X2,crossbar(X3,X4,X1,X5,X6,X0),X7,X8)) ),
inference(superposition,[status(thm)],[c_480256,c_481222]) ).
tcf(c_540681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X2,X1,crossbar(X5,X6,X1,X7,X8,X0))
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X1 )
| ( crossbar(X5,X6,X1,X7,X8,X0) = X1 )
| ~ s_t(X7,X8,X1)
| ~ s_t(X5,X6,X1)
| ~ s_t(X5,X0,X7)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480259,c_481222]) ).
tcf(c_540682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X2,crossbar(X3,X0,X4,X5,X1,X6),X0)
| ( crossbar(X3,X0,X4,X5,X1,X6) = X2 )
| ( crossbar(X3,X0,X4,X5,X1,X6) = X0 )
| ( ext(X2,crossbar(X3,X0,X4,X5,X1,X6),X7,X8) = crossbar(X3,X0,X4,X5,X1,X6) )
| ~ s_t(X5,X1,X4)
| ~ s_t(X3,X6,X5)
| ~ s_t(X3,X0,X4)
| ~ s_t(X0,X1,ext(X2,crossbar(X3,X0,X4,X5,X1,X6),X7,X8)) ),
inference(superposition,[status(thm)],[c_480318,c_481222]) ).
tcf(c_540683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X2,X1,crossbar(X5,X0,X6,X8,X1,X7))
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X1 )
| ( crossbar(X5,X0,X6,X8,X1,X7) = X1 )
| ~ s_t(X8,X1,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480321,c_481222]) ).
tcf(c_540684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X1,crossbar(X2,X0,X3,X4,X5,X6),X0)
| s_t(X0,ext(X1,crossbar(X2,X0,X3,X4,X5,X6),X7,X8),crossbar(X2,X0,X3,X4,X5,X6))
| ( crossbar(X2,X0,X3,X4,X5,X6) = X1 )
| ( crossbar(X2,X0,X3,X4,X5,X6) = X0 )
| ( ext(X1,crossbar(X2,X0,X3,X4,X5,X6),X7,X8) = crossbar(X2,X0,X3,X4,X5,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,ext(X1,crossbar(X2,X0,X3,X4,X5,X6),X7,X8),X5) ),
inference(superposition,[status(thm)],[c_480707,c_481222]) ).
tcf(c_540686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,X0,s(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)))
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( s(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)) = X0 ) ),
inference(superposition,[status(thm)],[c_517647,c_481222]) ).
tcf(c_540687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,X1,ext(ext(X0,X1,X2,X3),s(X1,ext(X0,X1,X2,X3)),X4,X5))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( ext(ext(X0,X1,X2,X3),s(X1,ext(X0,X1,X2,X3)),X4,X5) = X1 ) ),
inference(superposition,[status(thm)],[c_523173,c_481222]) ).
tcf(c_540688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,X1,s(ext(ext(X0,X1,X2,X3),X1,X4,X5),ext(X0,X1,X2,X3)))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( s(ext(ext(X0,X1,X2,X3),X1,X4,X5),ext(X0,X1,X2,X3)) = X1 ) ),
inference(superposition,[status(thm)],[c_499667,c_481222]) ).
tcf(c_540689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X2,X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X1,X3,X3) = X1 )
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_480032,c_481222]) ).
tcf(c_540690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X0)
| s_t(X0,ext(X0,X1,X2,X3),X1)
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_540672,c_72]) ).
tcf(c_540927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_56,c_481223]) ).
tcf(c_540928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,ip(X0,X1,X2,X0,X3),X3)
| ( ip(X0,X1,X2,X0,X3) = X3 )
| ( ip(X0,X1,X2,X0,X3) = X1 )
| ( ip(X0,X1,X2,X0,X3) = X0 )
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_481223]) ).
tcf(c_540930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X4),ext(X3,ip(X0,X1,X2,X3,X4),X5,X6))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( ext(X3,ip(X0,X1,X2,X3,X4),X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480073,c_481223]) ).
tcf(c_540931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X4),s(ip(X0,X1,X2,X3,X4),X3))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(ip(X0,X1,X2,X3,X4),X3) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485941,c_481223]) ).
tcf(c_540932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X2,ip(X1,X2,X3,X0,X4),c63(X0,ip(X1,X2,X3,X0,X4),X5))
| ( ip(X1,X2,X3,X0,X4) = X2 )
| ( ip(X1,X2,X3,X0,X4) = X0 )
| ( c63(X0,ip(X1,X2,X3,X0,X4),X5) = ip(X1,X2,X3,X0,X4) )
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X4,X3)
| ~ sameside(X0,ip(X1,X2,X3,X0,X4),X5) ),
inference(superposition,[status(thm)],[c_481095,c_481223]) ).
tcf(c_540933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X2,ip(X1,X2,X3,X4,X5),c63(X0,ip(X1,X2,X3,X4,X5),X4))
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ( c63(X0,ip(X1,X2,X3,X4,X5),X4) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_481156,c_481223]) ).
tcf(c_540934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X3,ip(X2,X3,X4,ins(X5,X6,X0,X1),X7),X1)
| s_t(X1,ins(X5,X6,X0,X1),ip(X2,X3,X4,ins(X5,X6,X0,X1),X7))
| ( X0 = X1 )
| ( ip(X2,X3,X4,ins(X5,X6,X0,X1),X7) = X3 )
| ( ip(X2,X3,X4,ins(X5,X6,X0,X1),X7) = X1 )
| ( ip(X2,X3,X4,ins(X5,X6,X0,X1),X7) = ins(X5,X6,X0,X1) )
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,X5,X6)
| ~ s_t(ins(X5,X6,X0,X1),X7,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,ins(X5,X6,X0,X1),X7)) ),
inference(superposition,[status(thm)],[c_480738,c_481223]) ).
tcf(c_540935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X3,ip(X2,X3,X4,ins(X5,X6,X0,X1),X7),X0)
| s_t(X0,ins(X5,X6,X0,X1),ip(X2,X3,X4,ins(X5,X6,X0,X1),X7))
| ( X0 = X1 )
| ( ip(X2,X3,X4,ins(X5,X6,X0,X1),X7) = X3 )
| ( ip(X2,X3,X4,ins(X5,X6,X0,X1),X7) = X0 )
| ( ip(X2,X3,X4,ins(X5,X6,X0,X1),X7) = ins(X5,X6,X0,X1) )
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,X5,X6)
| ~ s_t(ins(X5,X6,X0,X1),X7,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,ins(X5,X6,X0,X1),X7)) ),
inference(superposition,[status(thm)],[c_480739,c_481223]) ).
tcf(c_540936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X2,ip(X1,X2,X3,X0,X4),ins(X5,X6,X0,ip(X1,X2,X3,X0,X4)))
| ( ip(X1,X2,X3,X0,X4) = X2 )
| ( ip(X1,X2,X3,X0,X4) = X0 )
| ( ins(X5,X6,X0,ip(X1,X2,X3,X0,X4)) = ip(X1,X2,X3,X0,X4) )
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X4,X3)
| ~ le(X0,ip(X1,X2,X3,X0,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480747,c_481223]) ).
tcf(c_540937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X4),X1)
| s_t(X1,X3,ip(X0,X1,X2,X3,X4))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_481223]) ).
tcf(c_540938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X2,ip(X1,X2,X3,ip(X4,X0,X5,X6,X7),X8),X0)
| s_t(X0,ip(X4,X0,X5,X6,X7),ip(X1,X2,X3,ip(X4,X0,X5,X6,X7),X8))
| ( ip(X1,X2,X3,ip(X4,X0,X5,X6,X7),X8) = X2 )
| ( ip(X1,X2,X3,ip(X4,X0,X5,X6,X7),X8) = X0 )
| ( ip(X1,X2,X3,ip(X4,X0,X5,X6,X7),X8) = ip(X4,X0,X5,X6,X7) )
| ~ s_t(X6,X7,X5)
| ~ s_t(X4,X0,X5)
| ~ s_t(X1,X2,X3)
| ~ s_t(ip(X4,X0,X5,X6,X7),X8,X3)
| ~ s_t(X0,ip(X1,X2,X3,ip(X4,X0,X5,X6,X7),X8),X6) ),
inference(superposition,[status(thm)],[c_480702,c_481223]) ).
tcf(c_540939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_481223]) ).
tcf(c_540940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X4),ip(X8,X7,X6,ip(X0,X1,X2,X3,X4),X5))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( ip(X8,X7,X6,ip(X0,X1,X2,X3,X4),X5) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X8,X7,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,ip(X0,X1,X2,X3,X4),X3)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480135,c_481223]) ).
tcf(c_540942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X4),X4)
| s_t(X4,X3,ip(X0,X1,X2,X3,X4))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X4,X3,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_481223]) ).
tcf(c_540943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X4),X4)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_481223]) ).
tcf(c_540944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X2,ip(X1,X2,X3,ip(X4,X5,X6,X7,X0),X8),X0)
| s_t(X0,ip(X4,X5,X6,X7,X0),ip(X1,X2,X3,ip(X4,X5,X6,X7,X0),X8))
| ( ip(X1,X2,X3,ip(X4,X5,X6,X7,X0),X8) = X2 )
| ( ip(X1,X2,X3,ip(X4,X5,X6,X7,X0),X8) = X0 )
| ( ip(X1,X2,X3,ip(X4,X5,X6,X7,X0),X8) = ip(X4,X5,X6,X7,X0) )
| ~ s_t(X7,X0,X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X1,X2,X3)
| ~ s_t(ip(X4,X5,X6,X7,X0),X8,X3)
| ~ s_t(X0,ip(X1,X2,X3,ip(X4,X5,X6,X7,X0),X8),X4) ),
inference(superposition,[status(thm)],[c_480703,c_481223]) ).
tcf(c_540945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X4),ip(ip(X0,X1,X2,X3,X4),X5,X6,X8,X7))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( ip(ip(X0,X1,X2,X3,X4),X5,X6,X8,X7) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X8,X7,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,ip(X0,X1,X2,X3,X4),X3)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480136,c_481223]) ).
tcf(c_540946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X3),X0)
| ( ip(X0,X1,X2,X3,X3) = X3 )
| ( ip(X0,X1,X2,X3,X3) = X1 )
| ( ip(X0,X1,X2,X3,X3) = X0 )
| ~ s_t(X3,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480075,c_481223]) ).
tcf(c_540947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X3,ip(X2,X3,X4,ext(X0,X1,X5,X6),X7),X0)
| s_t(X0,ext(X0,X1,X5,X6),ip(X2,X3,X4,ext(X0,X1,X5,X6),X7))
| ( X0 = X1 )
| ( ip(X2,X3,X4,ext(X0,X1,X5,X6),X7) = X3 )
| ( ip(X2,X3,X4,ext(X0,X1,X5,X6),X7) = X0 )
| ( ip(X2,X3,X4,ext(X0,X1,X5,X6),X7) = ext(X0,X1,X5,X6) )
| ~ s_t(X2,X3,X4)
| ~ s_t(ext(X0,X1,X5,X6),X7,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,ext(X0,X1,X5,X6),X7)) ),
inference(superposition,[status(thm)],[c_480599,c_481223]) ).
tcf(c_540948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X3,ip(X2,X3,X4,c63(X0,X1,X5),X6),X0)
| s_t(X0,c63(X0,X1,X5),ip(X2,X3,X4,c63(X0,X1,X5),X6))
| ( X0 = X1 )
| ( ip(X2,X3,X4,c63(X0,X1,X5),X6) = X3 )
| ( ip(X2,X3,X4,c63(X0,X1,X5),X6) = X0 )
| ( ip(X2,X3,X4,c63(X0,X1,X5),X6) = c63(X0,X1,X5) )
| ~ sameside(X0,X1,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(c63(X0,X1,X5),X6,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,c63(X0,X1,X5),X6)) ),
inference(superposition,[status(thm)],[c_481087,c_481223]) ).
tcf(c_540949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X3,ip(X2,X3,X4,c63(X5,X1,X0),X6),X0)
| s_t(X0,c63(X5,X1,X0),ip(X2,X3,X4,c63(X5,X1,X0),X6))
| ( X0 = X1 )
| ( ip(X2,X3,X4,c63(X5,X1,X0),X6) = X3 )
| ( ip(X2,X3,X4,c63(X5,X1,X0),X6) = X0 )
| ( ip(X2,X3,X4,c63(X5,X1,X0),X6) = c63(X5,X1,X0) )
| ~ sameside(X5,X1,X0)
| ~ s_t(X2,X3,X4)
| ~ s_t(c63(X5,X1,X0),X6,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,c63(X5,X1,X0),X6)) ),
inference(superposition,[status(thm)],[c_481148,c_481223]) ).
tcf(c_540950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X3,ip(X2,X3,X4,ext(X0,X1,X5,X6),X7),X1)
| s_t(X1,ext(X0,X1,X5,X6),ip(X2,X3,X4,ext(X0,X1,X5,X6),X7))
| ( X0 = X1 )
| ( ip(X2,X3,X4,ext(X0,X1,X5,X6),X7) = X3 )
| ( ip(X2,X3,X4,ext(X0,X1,X5,X6),X7) = X1 )
| ( ip(X2,X3,X4,ext(X0,X1,X5,X6),X7) = ext(X0,X1,X5,X6) )
| ~ s_t(X2,X3,X4)
| ~ s_t(ext(X0,X1,X5,X6),X7,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,ext(X0,X1,X5,X6),X7)) ),
inference(superposition,[status(thm)],[c_480646,c_481223]) ).
tcf(c_540951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X3,ip(X2,X3,X4,c63(X0,X1,X5),X6),X1)
| s_t(X1,c63(X0,X1,X5),ip(X2,X3,X4,c63(X0,X1,X5),X6))
| ( X0 = X1 )
| ( ip(X2,X3,X4,c63(X0,X1,X5),X6) = X3 )
| ( ip(X2,X3,X4,c63(X0,X1,X5),X6) = X1 )
| ( ip(X2,X3,X4,c63(X0,X1,X5),X6) = c63(X0,X1,X5) )
| ~ sameside(X0,X1,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(c63(X0,X1,X5),X6,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,c63(X0,X1,X5),X6)) ),
inference(superposition,[status(thm)],[c_481086,c_481223]) ).
tcf(c_540952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X3,ip(X2,X3,X4,c63(X5,X1,X0),X6),X1)
| s_t(X1,c63(X5,X1,X0),ip(X2,X3,X4,c63(X5,X1,X0),X6))
| ( X0 = X1 )
| ( ip(X2,X3,X4,c63(X5,X1,X0),X6) = X3 )
| ( ip(X2,X3,X4,c63(X5,X1,X0),X6) = X1 )
| ( ip(X2,X3,X4,c63(X5,X1,X0),X6) = c63(X5,X1,X0) )
| ~ sameside(X5,X1,X0)
| ~ s_t(X2,X3,X4)
| ~ s_t(c63(X5,X1,X0),X6,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,c63(X5,X1,X0),X6)) ),
inference(superposition,[status(thm)],[c_481147,c_481223]) ).
tcf(c_540953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sameside(X2,ip(X1,X2,X3,crossbar(X4,X5,X6,X7,X8,X0),X9),X0)
| s_t(X0,crossbar(X4,X5,X6,X7,X8,X0),ip(X1,X2,X3,crossbar(X4,X5,X6,X7,X8,X0),X9))
| ( ip(X1,X2,X3,crossbar(X4,X5,X6,X7,X8,X0),X9) = X2 )
| ( ip(X1,X2,X3,crossbar(X4,X5,X6,X7,X8,X0),X9) = X0 )
| ( ip(X1,X2,X3,crossbar(X4,X5,X6,X7,X8,X0),X9) = crossbar(X4,X5,X6,X7,X8,X0) )
| ~ s_t(X7,X8,X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X4,X0,X7)
| ~ s_t(X1,X2,X3)
| ~ s_t(crossbar(X4,X5,X6,X7,X8,X0),X9,X3)
| ~ s_t(X0,ip(X1,X2,X3,crossbar(X4,X5,X6,X7,X8,X0),X9),X6) ),
inference(superposition,[status(thm)],[c_480706,c_481223]) ).
tcf(c_540954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sameside(X3,ip(X2,X3,X4,X5,X6),crossbar(X0,X1,ip(X2,X3,X4,X5,X6),X8,X9,X7))
| ( ip(X2,X3,X4,X5,X6) = X5 )
| ( ip(X2,X3,X4,X5,X6) = X3 )
| ( crossbar(X0,X1,ip(X2,X3,X4,X5,X6),X8,X9,X7) = ip(X2,X3,X4,X5,X6) )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X7,X8)
| ~ s_t(X8,X9,ip(X2,X3,X4,X5,X6))
| ~ s_t(X7,ip(X2,X3,X4,X5,X6),X5)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480259,c_481223]) ).
tcf(c_540955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sameside(X2,ip(X1,X2,X3,X4,X5),crossbar(X8,X0,X7,X6,ip(X1,X2,X3,X4,X5),X9))
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ( crossbar(X8,X0,X7,X6,ip(X1,X2,X3,X4,X5),X9) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X8,X9,X6)
| ~ s_t(X8,X0,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X6,ip(X1,X2,X3,X4,X5),X7)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_480321,c_481223]) ).
tcf(c_540956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sameside(X2,ip(X1,X2,X3,crossbar(X4,X0,X5,X6,X7,X8),X9),X0)
| s_t(X0,crossbar(X4,X0,X5,X6,X7,X8),ip(X1,X2,X3,crossbar(X4,X0,X5,X6,X7,X8),X9))
| ( ip(X1,X2,X3,crossbar(X4,X0,X5,X6,X7,X8),X9) = X2 )
| ( ip(X1,X2,X3,crossbar(X4,X0,X5,X6,X7,X8),X9) = X0 )
| ( ip(X1,X2,X3,crossbar(X4,X0,X5,X6,X7,X8),X9) = crossbar(X4,X0,X5,X6,X7,X8) )
| ~ s_t(X6,X7,X5)
| ~ s_t(X4,X8,X6)
| ~ s_t(X4,X0,X5)
| ~ s_t(X1,X2,X3)
| ~ s_t(crossbar(X4,X0,X5,X6,X7,X8),X9,X3)
| ~ s_t(X0,ip(X1,X2,X3,crossbar(X4,X0,X5,X6,X7,X8),X9),X7) ),
inference(superposition,[status(thm)],[c_480707,c_481223]) ).
tcf(c_540957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X4),s(s(ip(X0,X1,X2,X3,X4),X3),X3))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(s(ip(X0,X1,X2,X3,X4),X3),X3) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517647,c_481223]) ).
tcf(c_540958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X4),ext(X3,s(ip(X0,X1,X2,X3,X4),X3),X5,X6))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( ext(X3,s(ip(X0,X1,X2,X3,X4),X3),X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523173,c_481223]) ).
tcf(c_540959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X4),s(ext(X3,ip(X0,X1,X2,X3,X4),X5,X6),X3))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(ext(X3,ip(X0,X1,X2,X3,X4),X5,X6),X3) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499667,c_481223]) ).
tcf(c_540966,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X3),X0)
| ( ip(X0,X1,X2,X3,X3) = X3 )
| ( ip(X0,X1,X2,X3,X3) = X1 )
| ( ip(X0,X1,X2,X3,X3) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_540946,c_74]) ).
tcf(c_540985,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X4),X1)
| s_t(X1,X3,ip(X0,X1,X2,X3,X4))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_540937,c_72]) ).
tcf(c_541344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X3,ip(X0,X1,X2,X0,X3),X1)
| ( ip(X0,X1,X2,X0,X3) = X3 )
| ( ip(X0,X1,X2,X0,X3) = X1 )
| ( ip(X0,X1,X2,X0,X3) = X0 )
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_56,c_481224]) ).
tcf(c_541345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),X4)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_481224]) ).
tcf(c_541347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),ext(X0,ip(X0,X1,X2,X3,X4),X5,X6))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( ext(X0,ip(X0,X1,X2,X3,X4),X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480073,c_481224]) ).
tcf(c_541348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),s(ip(X0,X1,X2,X3,X4),X0))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(ip(X0,X1,X2,X3,X4),X0) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485941,c_481224]) ).
tcf(c_541349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),c63(X0,ip(X0,X1,X2,X3,X4),X5))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( c63(X0,ip(X0,X1,X2,X3,X4),X5) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(X0,ip(X0,X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_481095,c_481224]) ).
tcf(c_541350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X5,ip(X1,X2,X3,X4,X5),c63(X0,ip(X1,X2,X3,X4,X5),X1))
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ( c63(X0,ip(X1,X2,X3,X4,X5),X1) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_481156,c_481224]) ).
tcf(c_541351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X7,ip(ins(X2,X3,X0,X1),X4,X5,X6,X7),X1)
| s_t(X1,ins(X2,X3,X0,X1),ip(ins(X2,X3,X0,X1),X4,X5,X6,X7))
| ( X0 = X1 )
| ( ip(ins(X2,X3,X0,X1),X4,X5,X6,X7) = X7 )
| ( ip(ins(X2,X3,X0,X1),X4,X5,X6,X7) = X1 )
| ( ip(ins(X2,X3,X0,X1),X4,X5,X6,X7) = ins(X2,X3,X0,X1) )
| ~ s_t(X6,X7,X5)
| ~ le(X0,X1,X2,X3)
| ~ s_t(ins(X2,X3,X0,X1),X4,X5)
| ~ s_t(X0,X1,ip(ins(X2,X3,X0,X1),X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480738,c_481224]) ).
tcf(c_541352,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X7,ip(ins(X2,X3,X0,X1),X4,X5,X6,X7),X0)
| s_t(X0,ins(X2,X3,X0,X1),ip(ins(X2,X3,X0,X1),X4,X5,X6,X7))
| ( X0 = X1 )
| ( ip(ins(X2,X3,X0,X1),X4,X5,X6,X7) = X7 )
| ( ip(ins(X2,X3,X0,X1),X4,X5,X6,X7) = X0 )
| ( ip(ins(X2,X3,X0,X1),X4,X5,X6,X7) = ins(X2,X3,X0,X1) )
| ~ s_t(X6,X7,X5)
| ~ le(X0,X1,X2,X3)
| ~ s_t(ins(X2,X3,X0,X1),X4,X5)
| ~ s_t(X0,X1,ip(ins(X2,X3,X0,X1),X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480739,c_481224]) ).
tcf(c_541353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),ins(X5,X6,X0,ip(X0,X1,X2,X3,X4)))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( ins(X5,X6,X0,ip(X0,X1,X2,X3,X4)) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ le(X0,ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480747,c_481224]) ).
tcf(c_541354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),X1)
| s_t(X1,X0,ip(X0,X1,X2,X3,X4))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_481224]) ).
tcf(c_541355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X8,ip(ip(X1,X0,X2,X3,X4),X5,X6,X7,X8),X0)
| s_t(X0,ip(X1,X0,X2,X3,X4),ip(ip(X1,X0,X2,X3,X4),X5,X6,X7,X8))
| ( ip(ip(X1,X0,X2,X3,X4),X5,X6,X7,X8) = X8 )
| ( ip(ip(X1,X0,X2,X3,X4),X5,X6,X7,X8) = X0 )
| ( ip(ip(X1,X0,X2,X3,X4),X5,X6,X7,X8) = ip(X1,X0,X2,X3,X4) )
| ~ s_t(X7,X8,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(ip(X1,X0,X2,X3,X4),X5,X6)
| ~ s_t(X0,ip(ip(X1,X0,X2,X3,X4),X5,X6,X7,X8),X3) ),
inference(superposition,[status(thm)],[c_480702,c_481224]) ).
tcf(c_541356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_481224]) ).
tcf(c_541357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),ip(X8,X7,X6,ip(X0,X1,X2,X3,X4),X5))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( ip(X8,X7,X6,ip(X0,X1,X2,X3,X4),X5) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X8,X7,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,ip(X0,X1,X2,X3,X4),X0)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480135,c_481224]) ).
tcf(c_541358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X3,ip(X0,X0,X1,X2,X3),X2)
| ( ip(X0,X0,X1,X2,X3) = X3 )
| ( ip(X0,X0,X1,X2,X3) = X2 )
| ( ip(X0,X0,X1,X2,X3) = X0 )
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_480074,c_481224]) ).
tcf(c_541359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),X4)
| s_t(X4,X0,ip(X0,X1,X2,X3,X4))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X4,X0,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_481224]) ).
tcf(c_541360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),X4)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X4,X0,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_481224]) ).
tcf(c_541361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X8,ip(ip(X1,X2,X3,X4,X0),X5,X6,X7,X8),X0)
| s_t(X0,ip(X1,X2,X3,X4,X0),ip(ip(X1,X2,X3,X4,X0),X5,X6,X7,X8))
| ( ip(ip(X1,X2,X3,X4,X0),X5,X6,X7,X8) = X8 )
| ( ip(ip(X1,X2,X3,X4,X0),X5,X6,X7,X8) = X0 )
| ( ip(ip(X1,X2,X3,X4,X0),X5,X6,X7,X8) = ip(X1,X2,X3,X4,X0) )
| ~ s_t(X7,X8,X6)
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(ip(X1,X2,X3,X4,X0),X5,X6)
| ~ s_t(X0,ip(ip(X1,X2,X3,X4,X0),X5,X6,X7,X8),X1) ),
inference(superposition,[status(thm)],[c_480703,c_481224]) ).
tcf(c_541362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),ip(ip(X0,X1,X2,X3,X4),X5,X6,X8,X7))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( ip(ip(X0,X1,X2,X3,X4),X5,X6,X8,X7) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X8,X7,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,ip(X0,X1,X2,X3,X4),X0)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480136,c_481224]) ).
tcf(c_541364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X7,ip(ext(X0,X1,X2,X3),X4,X5,X6,X7),X0)
| s_t(X0,ext(X0,X1,X2,X3),ip(ext(X0,X1,X2,X3),X4,X5,X6,X7))
| ( X0 = X1 )
| ( ip(ext(X0,X1,X2,X3),X4,X5,X6,X7) = X7 )
| ( ip(ext(X0,X1,X2,X3),X4,X5,X6,X7) = X0 )
| ( ip(ext(X0,X1,X2,X3),X4,X5,X6,X7) = ext(X0,X1,X2,X3) )
| ~ s_t(X6,X7,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5)
| ~ s_t(X0,X1,ip(ext(X0,X1,X2,X3),X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480599,c_481224]) ).
tcf(c_541365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X6,ip(c63(X0,X1,X2),X3,X4,X5,X6),X0)
| s_t(X0,c63(X0,X1,X2),ip(c63(X0,X1,X2),X3,X4,X5,X6))
| ( X0 = X1 )
| ( ip(c63(X0,X1,X2),X3,X4,X5,X6) = X6 )
| ( ip(c63(X0,X1,X2),X3,X4,X5,X6) = X0 )
| ( ip(c63(X0,X1,X2),X3,X4,X5,X6) = c63(X0,X1,X2) )
| ~ sameside(X0,X1,X2)
| ~ s_t(X5,X6,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4)
| ~ s_t(X0,X1,ip(c63(X0,X1,X2),X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481087,c_481224]) ).
tcf(c_541366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X6,ip(c63(X2,X1,X0),X3,X4,X5,X6),X0)
| s_t(X0,c63(X2,X1,X0),ip(c63(X2,X1,X0),X3,X4,X5,X6))
| ( X0 = X1 )
| ( ip(c63(X2,X1,X0),X3,X4,X5,X6) = X6 )
| ( ip(c63(X2,X1,X0),X3,X4,X5,X6) = X0 )
| ( ip(c63(X2,X1,X0),X3,X4,X5,X6) = c63(X2,X1,X0) )
| ~ sameside(X2,X1,X0)
| ~ s_t(X5,X6,X4)
| ~ s_t(c63(X2,X1,X0),X3,X4)
| ~ s_t(X0,X1,ip(c63(X2,X1,X0),X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481148,c_481224]) ).
tcf(c_541367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X7,ip(ext(X0,X1,X2,X3),X4,X5,X6,X7),X1)
| s_t(X1,ext(X0,X1,X2,X3),ip(ext(X0,X1,X2,X3),X4,X5,X6,X7))
| ( X0 = X1 )
| ( ip(ext(X0,X1,X2,X3),X4,X5,X6,X7) = X7 )
| ( ip(ext(X0,X1,X2,X3),X4,X5,X6,X7) = X1 )
| ( ip(ext(X0,X1,X2,X3),X4,X5,X6,X7) = ext(X0,X1,X2,X3) )
| ~ s_t(X6,X7,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5)
| ~ s_t(X0,X1,ip(ext(X0,X1,X2,X3),X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480646,c_481224]) ).
tcf(c_541368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X6,ip(c63(X0,X1,X2),X3,X4,X5,X6),X1)
| s_t(X1,c63(X0,X1,X2),ip(c63(X0,X1,X2),X3,X4,X5,X6))
| ( X0 = X1 )
| ( ip(c63(X0,X1,X2),X3,X4,X5,X6) = X6 )
| ( ip(c63(X0,X1,X2),X3,X4,X5,X6) = X1 )
| ( ip(c63(X0,X1,X2),X3,X4,X5,X6) = c63(X0,X1,X2) )
| ~ sameside(X0,X1,X2)
| ~ s_t(X5,X6,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4)
| ~ s_t(X0,X1,ip(c63(X0,X1,X2),X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481086,c_481224]) ).
tcf(c_541369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X6,ip(c63(X2,X1,X0),X3,X4,X5,X6),X1)
| s_t(X1,c63(X2,X1,X0),ip(c63(X2,X1,X0),X3,X4,X5,X6))
| ( X0 = X1 )
| ( ip(c63(X2,X1,X0),X3,X4,X5,X6) = X6 )
| ( ip(c63(X2,X1,X0),X3,X4,X5,X6) = X1 )
| ( ip(c63(X2,X1,X0),X3,X4,X5,X6) = c63(X2,X1,X0) )
| ~ sameside(X2,X1,X0)
| ~ s_t(X5,X6,X4)
| ~ s_t(c63(X2,X1,X0),X3,X4)
| ~ s_t(X0,X1,ip(c63(X2,X1,X0),X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481147,c_481224]) ).
tcf(c_541370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sameside(X9,ip(crossbar(X1,X2,X3,X4,X5,X0),X6,X7,X8,X9),X0)
| s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),ip(crossbar(X1,X2,X3,X4,X5,X0),X6,X7,X8,X9))
| ( ip(crossbar(X1,X2,X3,X4,X5,X0),X6,X7,X8,X9) = X9 )
| ( ip(crossbar(X1,X2,X3,X4,X5,X0),X6,X7,X8,X9) = X0 )
| ( ip(crossbar(X1,X2,X3,X4,X5,X0),X6,X7,X8,X9) = crossbar(X1,X2,X3,X4,X5,X0) )
| ~ s_t(X8,X9,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(crossbar(X1,X2,X3,X4,X5,X0),X6,X7)
| ~ s_t(X0,ip(crossbar(X1,X2,X3,X4,X5,X0),X6,X7,X8,X9),X3) ),
inference(superposition,[status(thm)],[c_480706,c_481224]) ).
tcf(c_541371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sameside(X6,ip(X2,X3,X4,X5,X6),crossbar(X0,X1,ip(X2,X3,X4,X5,X6),X8,X9,X7))
| ( ip(X2,X3,X4,X5,X6) = X6 )
| ( ip(X2,X3,X4,X5,X6) = X2 )
| ( crossbar(X0,X1,ip(X2,X3,X4,X5,X6),X8,X9,X7) = ip(X2,X3,X4,X5,X6) )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X7,X8)
| ~ s_t(X8,X9,ip(X2,X3,X4,X5,X6))
| ~ s_t(X7,ip(X2,X3,X4,X5,X6),X2)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480259,c_481224]) ).
tcf(c_541372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sameside(X5,ip(X1,X2,X3,X4,X5),crossbar(X8,X0,X7,X6,ip(X1,X2,X3,X4,X5),X9))
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ( crossbar(X8,X0,X7,X6,ip(X1,X2,X3,X4,X5),X9) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X8,X9,X6)
| ~ s_t(X8,X0,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X6,ip(X1,X2,X3,X4,X5),X7)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_480321,c_481224]) ).
tcf(c_541373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sameside(X9,ip(crossbar(X1,X0,X2,X3,X4,X5),X6,X7,X8,X9),X0)
| s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),ip(crossbar(X1,X0,X2,X3,X4,X5),X6,X7,X8,X9))
| ( ip(crossbar(X1,X0,X2,X3,X4,X5),X6,X7,X8,X9) = X9 )
| ( ip(crossbar(X1,X0,X2,X3,X4,X5),X6,X7,X8,X9) = X0 )
| ( ip(crossbar(X1,X0,X2,X3,X4,X5),X6,X7,X8,X9) = crossbar(X1,X0,X2,X3,X4,X5) )
| ~ s_t(X8,X9,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(crossbar(X1,X0,X2,X3,X4,X5),X6,X7)
| ~ s_t(X0,ip(crossbar(X1,X0,X2,X3,X4,X5),X6,X7,X8,X9),X4) ),
inference(superposition,[status(thm)],[c_480707,c_481224]) ).
tcf(c_541374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),s(s(ip(X0,X1,X2,X3,X4),X0),X0))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(s(ip(X0,X1,X2,X3,X4),X0),X0) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517647,c_481224]) ).
tcf(c_541375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),ext(X0,s(ip(X0,X1,X2,X3,X4),X0),X5,X6))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( ext(X0,s(ip(X0,X1,X2,X3,X4),X0),X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523173,c_481224]) ).
tcf(c_541376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),s(ext(X0,ip(X0,X1,X2,X3,X4),X5,X6),X0))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(ext(X0,ip(X0,X1,X2,X3,X4),X5,X6),X0) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499667,c_481224]) ).
tcf(c_541383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,ip(X3,X3,X2,X0,X1),X0)
| ( ip(X3,X3,X2,X0,X1) = X3 )
| ( ip(X3,X3,X2,X0,X1) = X1 )
| ( ip(X3,X3,X2,X0,X1) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_541358,c_74]) ).
tcf(c_541395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),X4)
| s_t(X4,X0,ip(X0,X1,X2,X3,X4))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_541359,c_72]) ).
tcf(c_541693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,crossbar(X0,X1,X2,X4,X5,X3),X3)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_481227]) ).
tcf(c_541694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X3,crossbar(X0,X1,X2,X4,X2,X3),X1)
| ( crossbar(X0,X1,X2,X4,X2,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X2,X3) = X2 )
| ( crossbar(X0,X1,X2,X4,X2,X3) = X1 )
| ~ s_t(X4,X2,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_481227]) ).
tcf(c_541695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X3,crossbar(X0,X1,X2,X4,X5,X3),ext(X2,crossbar(X0,X1,X2,X4,X5,X3),X6,X7))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( ext(X2,crossbar(X0,X1,X2,X4,X5,X3),X6,X7) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480073,c_481227]) ).
tcf(c_541696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,crossbar(X0,X1,X2,X4,X5,X3),s(crossbar(X0,X1,X2,X4,X5,X3),X2))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( s(crossbar(X0,X1,X2,X4,X5,X3),X2) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485941,c_481227]) ).
tcf(c_541697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X5,crossbar(X1,X2,X0,X3,X4,X5),c63(X0,crossbar(X1,X2,X0,X3,X4,X5),X6))
| ( crossbar(X1,X2,X0,X3,X4,X5) = X5 )
| ( crossbar(X1,X2,X0,X3,X4,X5) = X0 )
| ( c63(X0,crossbar(X1,X2,X0,X3,X4,X5),X6) = crossbar(X1,X2,X0,X3,X4,X5) )
| ~ s_t(X3,X4,X0)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X2,X0)
| ~ sameside(X0,crossbar(X1,X2,X0,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_481095,c_481227]) ).
tcf(c_541698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X6,crossbar(X1,X2,X3,X4,X5,X6),c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X3))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ( c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_481156,c_481227]) ).
tcf(c_541699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X8,crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X8),X1)
| s_t(X1,ins(X4,X5,X0,X1),crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X8))
| ( X0 = X1 )
| ( crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X8) = X8 )
| ( crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X8) = X1 )
| ( crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X8) = ins(X4,X5,X0,X1) )
| ~ s_t(X2,X8,X6)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X6,X7,ins(X4,X5,X0,X1))
| ~ s_t(X2,X3,ins(X4,X5,X0,X1))
| ~ s_t(X0,X1,crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X8)) ),
inference(superposition,[status(thm)],[c_480738,c_481227]) ).
tcf(c_541700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X8,crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X8),X0)
| s_t(X0,ins(X4,X5,X0,X1),crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X8))
| ( X0 = X1 )
| ( crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X8) = X8 )
| ( crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X8) = X0 )
| ( crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X8) = ins(X4,X5,X0,X1) )
| ~ s_t(X2,X8,X6)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X6,X7,ins(X4,X5,X0,X1))
| ~ s_t(X2,X3,ins(X4,X5,X0,X1))
| ~ s_t(X0,X1,crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X8)) ),
inference(superposition,[status(thm)],[c_480739,c_481227]) ).
tcf(c_541701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X5,crossbar(X1,X2,X0,X3,X4,X5),ins(X6,X7,X0,crossbar(X1,X2,X0,X3,X4,X5)))
| ( crossbar(X1,X2,X0,X3,X4,X5) = X5 )
| ( crossbar(X1,X2,X0,X3,X4,X5) = X0 )
| ( ins(X6,X7,X0,crossbar(X1,X2,X0,X3,X4,X5)) = crossbar(X1,X2,X0,X3,X4,X5) )
| ~ s_t(X3,X4,X0)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X2,X0)
| ~ le(X0,crossbar(X1,X2,X0,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480747,c_481227]) ).
tcf(c_541702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sameside(X9,crossbar(X1,X2,ip(X3,X0,X4,X5,X6),X7,X8,X9),X0)
| s_t(X0,ip(X3,X0,X4,X5,X6),crossbar(X1,X2,ip(X3,X0,X4,X5,X6),X7,X8,X9))
| ( crossbar(X1,X2,ip(X3,X0,X4,X5,X6),X7,X8,X9) = X9 )
| ( crossbar(X1,X2,ip(X3,X0,X4,X5,X6),X7,X8,X9) = X0 )
| ( crossbar(X1,X2,ip(X3,X0,X4,X5,X6),X7,X8,X9) = ip(X3,X0,X4,X5,X6) )
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X9,X7)
| ~ s_t(X7,X8,ip(X3,X0,X4,X5,X6))
| ~ s_t(X1,X2,ip(X3,X0,X4,X5,X6))
| ~ s_t(X0,crossbar(X1,X2,ip(X3,X0,X4,X5,X6),X7,X8,X9),X5) ),
inference(superposition,[status(thm)],[c_480702,c_481227]) ).
tcf(c_541703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sameside(X5,crossbar(X0,X1,X2,X3,X4,X5),ip(X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5),X6))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X5 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ( ip(X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5),X6) = crossbar(X0,X1,X2,X3,X4,X5) )
| ~ s_t(X9,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X8,crossbar(X0,X1,X2,X3,X4,X5),X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480135,c_481227]) ).
tcf(c_541704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sameside(X9,crossbar(X1,X2,ip(X3,X4,X5,X6,X0),X7,X8,X9),X0)
| s_t(X0,ip(X3,X4,X5,X6,X0),crossbar(X1,X2,ip(X3,X4,X5,X6,X0),X7,X8,X9))
| ( crossbar(X1,X2,ip(X3,X4,X5,X6,X0),X7,X8,X9) = X9 )
| ( crossbar(X1,X2,ip(X3,X4,X5,X6,X0),X7,X8,X9) = X0 )
| ( crossbar(X1,X2,ip(X3,X4,X5,X6,X0),X7,X8,X9) = ip(X3,X4,X5,X6,X0) )
| ~ s_t(X6,X0,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X1,X9,X7)
| ~ s_t(X7,X8,ip(X3,X4,X5,X6,X0))
| ~ s_t(X1,X2,ip(X3,X4,X5,X6,X0))
| ~ s_t(X0,crossbar(X1,X2,ip(X3,X4,X5,X6,X0),X7,X8,X9),X3) ),
inference(superposition,[status(thm)],[c_480703,c_481227]) ).
tcf(c_541705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sameside(X5,crossbar(X0,X1,X2,X3,X4,X5),ip(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X9,X8))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X5 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ( ip(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X9,X8) = crossbar(X0,X1,X2,X3,X4,X5) )
| ~ s_t(X9,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X8,crossbar(X0,X1,X2,X3,X4,X5),X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480136,c_481227]) ).
tcf(c_541706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X8,crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X8),X0)
| s_t(X0,ext(X0,X1,X4,X5),crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X8))
| ( X0 = X1 )
| ( crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X8) = X8 )
| ( crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X8) = X0 )
| ( crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X8) = ext(X0,X1,X4,X5) )
| ~ s_t(X2,X8,X6)
| ~ s_t(X6,X7,ext(X0,X1,X4,X5))
| ~ s_t(X2,X3,ext(X0,X1,X4,X5))
| ~ s_t(X0,X1,crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X8)) ),
inference(superposition,[status(thm)],[c_480599,c_481227]) ).
tcf(c_541707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X7,crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X7),X0)
| s_t(X0,c63(X0,X1,X4),crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X7))
| ( X0 = X1 )
| ( crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X7) = X7 )
| ( crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X7) = X0 )
| ( crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X7) = c63(X0,X1,X4) )
| ~ sameside(X0,X1,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X5,X6,c63(X0,X1,X4))
| ~ s_t(X2,X3,c63(X0,X1,X4))
| ~ s_t(X0,X1,crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_481087,c_481227]) ).
tcf(c_541708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X7,crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X7),X0)
| s_t(X0,c63(X4,X1,X0),crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X7))
| ( X0 = X1 )
| ( crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X7) = X7 )
| ( crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X7) = X0 )
| ( crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X7) = c63(X4,X1,X0) )
| ~ sameside(X4,X1,X0)
| ~ s_t(X2,X7,X5)
| ~ s_t(X5,X6,c63(X4,X1,X0))
| ~ s_t(X2,X3,c63(X4,X1,X0))
| ~ s_t(X0,X1,crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_481148,c_481227]) ).
tcf(c_541709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X8,crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X8),X1)
| s_t(X1,ext(X0,X1,X4,X5),crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X8))
| ( X0 = X1 )
| ( crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X8) = X8 )
| ( crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X8) = X1 )
| ( crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X8) = ext(X0,X1,X4,X5) )
| ~ s_t(X2,X8,X6)
| ~ s_t(X6,X7,ext(X0,X1,X4,X5))
| ~ s_t(X2,X3,ext(X0,X1,X4,X5))
| ~ s_t(X0,X1,crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X8)) ),
inference(superposition,[status(thm)],[c_480646,c_481227]) ).
tcf(c_541710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X7,crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X7),X1)
| s_t(X1,c63(X0,X1,X4),crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X7))
| ( X0 = X1 )
| ( crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X7) = X7 )
| ( crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X7) = X1 )
| ( crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X7) = c63(X0,X1,X4) )
| ~ sameside(X0,X1,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X5,X6,c63(X0,X1,X4))
| ~ s_t(X2,X3,c63(X0,X1,X4))
| ~ s_t(X0,X1,crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_481086,c_481227]) ).
tcf(c_541711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X7,crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X7),X1)
| s_t(X1,c63(X4,X1,X0),crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X7))
| ( X0 = X1 )
| ( crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X7) = X7 )
| ( crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X7) = X1 )
| ( crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X7) = c63(X4,X1,X0) )
| ~ sameside(X4,X1,X0)
| ~ s_t(X2,X7,X5)
| ~ s_t(X5,X6,c63(X4,X1,X0))
| ~ s_t(X2,X3,c63(X4,X1,X0))
| ~ s_t(X0,X1,crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_481147,c_481227]) ).
tcf(c_541712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,crossbar(X0,X1,X2,X4,X5,X3),X3)
| s_t(X3,X2,crossbar(X0,X1,X2,X4,X5,X3))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X2,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_481227]) ).
tcf(c_541713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,crossbar(X0,X1,X2,X4,X5,X3),X3)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X2,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_481227]) ).
tcf(c_541714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( sameside(X10,crossbar(X1,X2,crossbar(X3,X4,X5,X6,X7,X0),X8,X9,X10),X0)
| s_t(X0,crossbar(X3,X4,X5,X6,X7,X0),crossbar(X1,X2,crossbar(X3,X4,X5,X6,X7,X0),X8,X9,X10))
| ( crossbar(X1,X2,crossbar(X3,X4,X5,X6,X7,X0),X8,X9,X10) = X10 )
| ( crossbar(X1,X2,crossbar(X3,X4,X5,X6,X7,X0),X8,X9,X10) = X0 )
| ( crossbar(X1,X2,crossbar(X3,X4,X5,X6,X7,X0),X8,X9,X10) = crossbar(X3,X4,X5,X6,X7,X0) )
| ~ s_t(X6,X7,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X3,X0,X6)
| ~ s_t(X1,X10,X8)
| ~ s_t(X8,X9,crossbar(X3,X4,X5,X6,X7,X0))
| ~ s_t(X1,X2,crossbar(X3,X4,X5,X6,X7,X0))
| ~ s_t(X0,crossbar(X1,X2,crossbar(X3,X4,X5,X6,X7,X0),X8,X9,X10),X5) ),
inference(superposition,[status(thm)],[c_480706,c_481227]) ).
tcf(c_541715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( sameside(X7,crossbar(X2,X3,X4,X5,X6,X7),crossbar(X0,X1,crossbar(X2,X3,X4,X5,X6,X7),X9,X10,X8))
| ( crossbar(X2,X3,X4,X5,X6,X7) = X7 )
| ( crossbar(X2,X3,X4,X5,X6,X7) = X4 )
| ( crossbar(X0,X1,crossbar(X2,X3,X4,X5,X6,X7),X9,X10,X8) = crossbar(X2,X3,X4,X5,X6,X7) )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X8,X9)
| ~ s_t(X9,X10,crossbar(X2,X3,X4,X5,X6,X7))
| ~ s_t(X8,crossbar(X2,X3,X4,X5,X6,X7),X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480259,c_481227]) ).
tcf(c_541717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_481227]) ).
tcf(c_541718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( sameside(X6,crossbar(X1,X2,X3,X4,X5,X6),crossbar(X9,X0,X8,X7,crossbar(X1,X2,X3,X4,X5,X6),X10))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ( crossbar(X9,X0,X8,X7,crossbar(X1,X2,X3,X4,X5,X6),X10) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X9,X10,X7)
| ~ s_t(X9,X0,X8)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X7,crossbar(X1,X2,X3,X4,X5,X6),X8)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_480321,c_481227]) ).
tcf(c_541719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,crossbar(X0,X1,X2,X4,X5,X3),X1)
| s_t(X1,X2,crossbar(X0,X1,X2,X4,X5,X3))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_481227]) ).
tcf(c_541720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( sameside(X10,crossbar(X1,X2,crossbar(X3,X0,X4,X5,X6,X7),X8,X9,X10),X0)
| s_t(X0,crossbar(X3,X0,X4,X5,X6,X7),crossbar(X1,X2,crossbar(X3,X0,X4,X5,X6,X7),X8,X9,X10))
| ( crossbar(X1,X2,crossbar(X3,X0,X4,X5,X6,X7),X8,X9,X10) = X10 )
| ( crossbar(X1,X2,crossbar(X3,X0,X4,X5,X6,X7),X8,X9,X10) = X0 )
| ( crossbar(X1,X2,crossbar(X3,X0,X4,X5,X6,X7),X8,X9,X10) = crossbar(X3,X0,X4,X5,X6,X7) )
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X7,X5)
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X10,X8)
| ~ s_t(X8,X9,crossbar(X3,X0,X4,X5,X6,X7))
| ~ s_t(X1,X2,crossbar(X3,X0,X4,X5,X6,X7))
| ~ s_t(X0,crossbar(X1,X2,crossbar(X3,X0,X4,X5,X6,X7),X8,X9,X10),X6) ),
inference(superposition,[status(thm)],[c_480707,c_481227]) ).
tcf(c_541721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,crossbar(X0,X1,X1,X3,X4,X2),X4)
| ( crossbar(X0,X1,X1,X3,X4,X2) = X4 )
| ( crossbar(X0,X1,X1,X3,X4,X2) = X2 )
| ( crossbar(X0,X1,X1,X3,X4,X2) = X1 )
| ~ s_t(X3,X4,X1)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_480324,c_481227]) ).
tcf(c_541722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,crossbar(X0,X1,X2,X4,X5,X3),s(s(crossbar(X0,X1,X2,X4,X5,X3),X2),X2))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( s(s(crossbar(X0,X1,X2,X4,X5,X3),X2),X2) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517647,c_481227]) ).
tcf(c_541723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X3,crossbar(X0,X1,X2,X4,X5,X3),ext(X2,s(crossbar(X0,X1,X2,X4,X5,X3),X2),X6,X7))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( ext(X2,s(crossbar(X0,X1,X2,X4,X5,X3),X2),X6,X7) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523173,c_481227]) ).
tcf(c_541724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X3,crossbar(X0,X1,X2,X4,X5,X3),s(ext(X2,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X2))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( s(ext(X2,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X2) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499667,c_481227]) ).
tcf(c_541732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X1,crossbar(X0,X4,X4,X2,X3,X1),X3)
| ( crossbar(X0,X4,X4,X2,X3,X1) = X4 )
| ( crossbar(X0,X4,X4,X2,X3,X1) = X3 )
| ( crossbar(X0,X4,X4,X2,X3,X1) = X1 )
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_541721,c_72]) ).
tcf(c_541739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X3,crossbar(X0,X1,X2,X4,X2,X3),X1)
| ( crossbar(X0,X1,X2,X4,X2,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X2,X3) = X2 )
| ( crossbar(X0,X1,X2,X4,X2,X3) = X1 )
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_541694,c_72]) ).
tcf(c_541754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,crossbar(X0,X1,X2,X4,X5,X3),X3)
| s_t(X3,X2,crossbar(X0,X1,X2,X4,X5,X3))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_541712,c_72]) ).
tcf(c_542110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X1,crossbar(X0,X1,X2,X4,X2,X3),X3)
| ( crossbar(X0,X1,X2,X4,X2,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X2,X3) = X2 )
| ( crossbar(X0,X1,X2,X4,X2,X3) = X1 )
| ~ s_t(X4,X2,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_481228]) ).
tcf(c_542111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X1,crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_481228]) ).
tcf(c_542112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X1,crossbar(X0,X1,X2,X4,X5,X3),ext(X5,crossbar(X0,X1,X2,X4,X5,X3),X6,X7))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( ext(X5,crossbar(X0,X1,X2,X4,X5,X3),X6,X7) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480073,c_481228]) ).
tcf(c_542113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X1,crossbar(X0,X1,X2,X4,X5,X3),s(crossbar(X0,X1,X2,X4,X5,X3),X5))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( s(crossbar(X0,X1,X2,X4,X5,X3),X5) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485941,c_481228]) ).
tcf(c_542114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X2,crossbar(X1,X2,X3,X4,X0,X5),c63(X0,crossbar(X1,X2,X3,X4,X0,X5),X6))
| ( crossbar(X1,X2,X3,X4,X0,X5) = X2 )
| ( crossbar(X1,X2,X3,X4,X0,X5) = X0 )
| ( c63(X0,crossbar(X1,X2,X3,X4,X0,X5),X6) = crossbar(X1,X2,X3,X4,X0,X5) )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X5,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X0,X5),X6) ),
inference(superposition,[status(thm)],[c_481095,c_481228]) ).
tcf(c_542115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X2,crossbar(X1,X2,X3,X4,X5,X6),c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X5))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ( c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_481156,c_481228]) ).
tcf(c_542116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X3,crossbar(X2,X3,X4,X5,ins(X6,X7,X0,X1),X8),X1)
| s_t(X1,ins(X6,X7,X0,X1),crossbar(X2,X3,X4,X5,ins(X6,X7,X0,X1),X8))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,ins(X6,X7,X0,X1),X8) = X3 )
| ( crossbar(X2,X3,X4,X5,ins(X6,X7,X0,X1),X8) = X1 )
| ( crossbar(X2,X3,X4,X5,ins(X6,X7,X0,X1),X8) = ins(X6,X7,X0,X1) )
| ~ s_t(X2,X8,X5)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,X6,X7)
| ~ s_t(X5,ins(X6,X7,X0,X1),X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,ins(X6,X7,X0,X1),X8)) ),
inference(superposition,[status(thm)],[c_480738,c_481228]) ).
tcf(c_542117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X3,crossbar(X2,X3,X4,X5,ins(X6,X7,X0,X1),X8),X0)
| s_t(X0,ins(X6,X7,X0,X1),crossbar(X2,X3,X4,X5,ins(X6,X7,X0,X1),X8))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,ins(X6,X7,X0,X1),X8) = X3 )
| ( crossbar(X2,X3,X4,X5,ins(X6,X7,X0,X1),X8) = X0 )
| ( crossbar(X2,X3,X4,X5,ins(X6,X7,X0,X1),X8) = ins(X6,X7,X0,X1) )
| ~ s_t(X2,X8,X5)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,X6,X7)
| ~ s_t(X5,ins(X6,X7,X0,X1),X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,ins(X6,X7,X0,X1),X8)) ),
inference(superposition,[status(thm)],[c_480739,c_481228]) ).
tcf(c_542118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X2,crossbar(X1,X2,X3,X4,X0,X5),ins(X6,X7,X0,crossbar(X1,X2,X3,X4,X0,X5)))
| ( crossbar(X1,X2,X3,X4,X0,X5) = X2 )
| ( crossbar(X1,X2,X3,X4,X0,X5) = X0 )
| ( ins(X6,X7,X0,crossbar(X1,X2,X3,X4,X0,X5)) = crossbar(X1,X2,X3,X4,X0,X5) )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X5,X4)
| ~ s_t(X1,X2,X3)
| ~ le(X0,crossbar(X1,X2,X3,X4,X0,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480747,c_481228]) ).
tcf(c_542119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sameside(X2,crossbar(X1,X2,X3,X4,ip(X5,X0,X6,X7,X8),X9),X0)
| s_t(X0,ip(X5,X0,X6,X7,X8),crossbar(X1,X2,X3,X4,ip(X5,X0,X6,X7,X8),X9))
| ( crossbar(X1,X2,X3,X4,ip(X5,X0,X6,X7,X8),X9) = X2 )
| ( crossbar(X1,X2,X3,X4,ip(X5,X0,X6,X7,X8),X9) = X0 )
| ( crossbar(X1,X2,X3,X4,ip(X5,X0,X6,X7,X8),X9) = ip(X5,X0,X6,X7,X8) )
| ~ s_t(X7,X8,X6)
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X9,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X4,ip(X5,X0,X6,X7,X8),X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,ip(X5,X0,X6,X7,X8),X9),X7) ),
inference(superposition,[status(thm)],[c_480702,c_481228]) ).
tcf(c_542120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sameside(X1,crossbar(X0,X1,X2,X3,X4,X5),ip(X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5),X6))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X1 )
| ( ip(X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5),X6) = crossbar(X0,X1,X2,X3,X4,X5) )
| ~ s_t(X9,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X8,crossbar(X0,X1,X2,X3,X4,X5),X4)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480135,c_481228]) ).
tcf(c_542121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sameside(X2,crossbar(X1,X2,X3,X4,ip(X5,X6,X7,X8,X0),X9),X0)
| s_t(X0,ip(X5,X6,X7,X8,X0),crossbar(X1,X2,X3,X4,ip(X5,X6,X7,X8,X0),X9))
| ( crossbar(X1,X2,X3,X4,ip(X5,X6,X7,X8,X0),X9) = X2 )
| ( crossbar(X1,X2,X3,X4,ip(X5,X6,X7,X8,X0),X9) = X0 )
| ( crossbar(X1,X2,X3,X4,ip(X5,X6,X7,X8,X0),X9) = ip(X5,X6,X7,X8,X0) )
| ~ s_t(X8,X0,X7)
| ~ s_t(X5,X6,X7)
| ~ s_t(X1,X9,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X4,ip(X5,X6,X7,X8,X0),X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,ip(X5,X6,X7,X8,X0),X9),X5) ),
inference(superposition,[status(thm)],[c_480703,c_481228]) ).
tcf(c_542122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( sameside(X1,crossbar(X0,X1,X2,X3,X4,X5),ip(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X9,X8))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X1 )
| ( ip(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X9,X8) = crossbar(X0,X1,X2,X3,X4,X5) )
| ~ s_t(X9,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X8,crossbar(X0,X1,X2,X3,X4,X5),X4)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480136,c_481228]) ).
tcf(c_542123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X3,crossbar(X2,X3,X4,X5,ext(X0,X1,X6,X7),X8),X0)
| s_t(X0,ext(X0,X1,X6,X7),crossbar(X2,X3,X4,X5,ext(X0,X1,X6,X7),X8))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,ext(X0,X1,X6,X7),X8) = X3 )
| ( crossbar(X2,X3,X4,X5,ext(X0,X1,X6,X7),X8) = X0 )
| ( crossbar(X2,X3,X4,X5,ext(X0,X1,X6,X7),X8) = ext(X0,X1,X6,X7) )
| ~ s_t(X2,X8,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X5,ext(X0,X1,X6,X7),X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,ext(X0,X1,X6,X7),X8)) ),
inference(superposition,[status(thm)],[c_480599,c_481228]) ).
tcf(c_542124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X3,crossbar(X2,X3,X4,X5,c63(X0,X1,X6),X7),X0)
| s_t(X0,c63(X0,X1,X6),crossbar(X2,X3,X4,X5,c63(X0,X1,X6),X7))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,c63(X0,X1,X6),X7) = X3 )
| ( crossbar(X2,X3,X4,X5,c63(X0,X1,X6),X7) = X0 )
| ( crossbar(X2,X3,X4,X5,c63(X0,X1,X6),X7) = c63(X0,X1,X6) )
| ~ sameside(X0,X1,X6)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X5,c63(X0,X1,X6),X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,c63(X0,X1,X6),X7)) ),
inference(superposition,[status(thm)],[c_481087,c_481228]) ).
tcf(c_542125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X3,crossbar(X2,X3,X4,X5,c63(X6,X1,X0),X7),X0)
| s_t(X0,c63(X6,X1,X0),crossbar(X2,X3,X4,X5,c63(X6,X1,X0),X7))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,c63(X6,X1,X0),X7) = X3 )
| ( crossbar(X2,X3,X4,X5,c63(X6,X1,X0),X7) = X0 )
| ( crossbar(X2,X3,X4,X5,c63(X6,X1,X0),X7) = c63(X6,X1,X0) )
| ~ sameside(X6,X1,X0)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X5,c63(X6,X1,X0),X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,c63(X6,X1,X0),X7)) ),
inference(superposition,[status(thm)],[c_481148,c_481228]) ).
tcf(c_542126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X3,crossbar(X2,X3,X4,X5,ext(X0,X1,X6,X7),X8),X1)
| s_t(X1,ext(X0,X1,X6,X7),crossbar(X2,X3,X4,X5,ext(X0,X1,X6,X7),X8))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,ext(X0,X1,X6,X7),X8) = X3 )
| ( crossbar(X2,X3,X4,X5,ext(X0,X1,X6,X7),X8) = X1 )
| ( crossbar(X2,X3,X4,X5,ext(X0,X1,X6,X7),X8) = ext(X0,X1,X6,X7) )
| ~ s_t(X2,X8,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X5,ext(X0,X1,X6,X7),X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,ext(X0,X1,X6,X7),X8)) ),
inference(superposition,[status(thm)],[c_480646,c_481228]) ).
tcf(c_542127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X3,crossbar(X2,X3,X4,X5,c63(X0,X1,X6),X7),X1)
| s_t(X1,c63(X0,X1,X6),crossbar(X2,X3,X4,X5,c63(X0,X1,X6),X7))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,c63(X0,X1,X6),X7) = X3 )
| ( crossbar(X2,X3,X4,X5,c63(X0,X1,X6),X7) = X1 )
| ( crossbar(X2,X3,X4,X5,c63(X0,X1,X6),X7) = c63(X0,X1,X6) )
| ~ sameside(X0,X1,X6)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X5,c63(X0,X1,X6),X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,c63(X0,X1,X6),X7)) ),
inference(superposition,[status(thm)],[c_481086,c_481228]) ).
tcf(c_542128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X3,crossbar(X2,X3,X4,X5,c63(X6,X1,X0),X7),X1)
| s_t(X1,c63(X6,X1,X0),crossbar(X2,X3,X4,X5,c63(X6,X1,X0),X7))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,c63(X6,X1,X0),X7) = X3 )
| ( crossbar(X2,X3,X4,X5,c63(X6,X1,X0),X7) = X1 )
| ( crossbar(X2,X3,X4,X5,c63(X6,X1,X0),X7) = c63(X6,X1,X0) )
| ~ sameside(X6,X1,X0)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X5,c63(X6,X1,X0),X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,c63(X6,X1,X0),X7)) ),
inference(superposition,[status(thm)],[c_481147,c_481228]) ).
tcf(c_542129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X1,crossbar(X0,X1,X2,X4,X5,X3),X3)
| s_t(X3,X5,crossbar(X0,X1,X2,X4,X5,X3))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_481228]) ).
tcf(c_542130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X1,crossbar(X0,X1,X2,X4,X5,X3),X3)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_481228]) ).
tcf(c_542131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( sameside(X2,crossbar(X1,X2,X3,X4,crossbar(X5,X6,X7,X8,X9,X0),X10),X0)
| s_t(X0,crossbar(X5,X6,X7,X8,X9,X0),crossbar(X1,X2,X3,X4,crossbar(X5,X6,X7,X8,X9,X0),X10))
| ( crossbar(X1,X2,X3,X4,crossbar(X5,X6,X7,X8,X9,X0),X10) = X2 )
| ( crossbar(X1,X2,X3,X4,crossbar(X5,X6,X7,X8,X9,X0),X10) = X0 )
| ( crossbar(X1,X2,X3,X4,crossbar(X5,X6,X7,X8,X9,X0),X10) = crossbar(X5,X6,X7,X8,X9,X0) )
| ~ s_t(X8,X9,X7)
| ~ s_t(X5,X6,X7)
| ~ s_t(X5,X0,X8)
| ~ s_t(X1,X10,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X4,crossbar(X5,X6,X7,X8,X9,X0),X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,crossbar(X5,X6,X7,X8,X9,X0),X10),X7) ),
inference(superposition,[status(thm)],[c_480706,c_481228]) ).
tcf(c_542132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( sameside(X3,crossbar(X2,X3,X4,X5,X6,X7),crossbar(X0,X1,crossbar(X2,X3,X4,X5,X6,X7),X9,X10,X8))
| ( crossbar(X2,X3,X4,X5,X6,X7) = X6 )
| ( crossbar(X2,X3,X4,X5,X6,X7) = X3 )
| ( crossbar(X0,X1,crossbar(X2,X3,X4,X5,X6,X7),X9,X10,X8) = crossbar(X2,X3,X4,X5,X6,X7) )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X8,X9)
| ~ s_t(X9,X10,crossbar(X2,X3,X4,X5,X6,X7))
| ~ s_t(X8,crossbar(X2,X3,X4,X5,X6,X7),X6)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480259,c_481228]) ).
tcf(c_542133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X1,crossbar(X0,X1,X2,X4,X3,X3),X2)
| ( crossbar(X0,X1,X2,X4,X3,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X3,X3) = X2 )
| ( crossbar(X0,X1,X2,X4,X3,X3) = X1 )
| ~ s_t(X4,X3,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480262,c_481228]) ).
tcf(c_542134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X1,crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_481228]) ).
tcf(c_542135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( sameside(X2,crossbar(X1,X2,X3,X4,X5,X6),crossbar(X9,X0,X8,X7,crossbar(X1,X2,X3,X4,X5,X6),X10))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ( crossbar(X9,X0,X8,X7,crossbar(X1,X2,X3,X4,X5,X6),X10) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X9,X10,X7)
| ~ s_t(X9,X0,X8)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X7,crossbar(X1,X2,X3,X4,X5,X6),X8)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_480321,c_481228]) ).
tcf(c_542136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X1,crossbar(X0,X1,X2,X4,X5,X3),X1)
| s_t(X1,X5,crossbar(X0,X1,X2,X4,X5,X3))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_481228]) ).
tcf(c_542137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( sameside(X2,crossbar(X1,X2,X3,X4,crossbar(X5,X0,X6,X7,X8,X9),X10),X0)
| s_t(X0,crossbar(X5,X0,X6,X7,X8,X9),crossbar(X1,X2,X3,X4,crossbar(X5,X0,X6,X7,X8,X9),X10))
| ( crossbar(X1,X2,X3,X4,crossbar(X5,X0,X6,X7,X8,X9),X10) = X2 )
| ( crossbar(X1,X2,X3,X4,crossbar(X5,X0,X6,X7,X8,X9),X10) = X0 )
| ( crossbar(X1,X2,X3,X4,crossbar(X5,X0,X6,X7,X8,X9),X10) = crossbar(X5,X0,X6,X7,X8,X9) )
| ~ s_t(X7,X8,X6)
| ~ s_t(X5,X9,X7)
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X10,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X4,crossbar(X5,X0,X6,X7,X8,X9),X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,crossbar(X5,X0,X6,X7,X8,X9),X10),X8) ),
inference(superposition,[status(thm)],[c_480707,c_481228]) ).
tcf(c_542139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X1,crossbar(X0,X1,X2,X4,X5,X3),s(s(crossbar(X0,X1,X2,X4,X5,X3),X5),X5))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( s(s(crossbar(X0,X1,X2,X4,X5,X3),X5),X5) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517647,c_481228]) ).
tcf(c_542140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X1,crossbar(X0,X1,X2,X4,X5,X3),ext(X5,s(crossbar(X0,X1,X2,X4,X5,X3),X5),X6,X7))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( ext(X5,s(crossbar(X0,X1,X2,X4,X5,X3),X5),X6,X7) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523173,c_481228]) ).
tcf(c_542141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X1,crossbar(X0,X1,X2,X4,X5,X3),s(ext(X5,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X5))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( s(ext(X5,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X5) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499667,c_481228]) ).
tcf(c_542156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X1,crossbar(X0,X1,X2,X4,X2,X3),X3)
| ( crossbar(X0,X1,X2,X4,X2,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X2,X3) = X2 )
| ( crossbar(X0,X1,X2,X4,X2,X3) = X1 )
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_542110,c_72]) ).
tcf(c_542163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X1,crossbar(X0,X1,X2,X4,X5,X3),X1)
| s_t(X1,X5,crossbar(X0,X1,X2,X4,X5,X3))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_542136,c_72]) ).
tcf(c_542556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,X1,ext(ins(X2,X3,X0,X1),X1,X4,X5))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ( ext(ins(X2,X3,X0,X1),X1,X4,X5) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480073,c_481229]) ).
tcf(c_542557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,s(X1,ins(X2,X3,X0,X1)))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ( s(X1,ins(X2,X3,X0,X1)) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_485941,c_481229]) ).
tcf(c_542558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,X3,c63(ins(X0,X1,X2,X3),X3,X4))
| ( X2 = X3 )
| ( ins(X0,X1,X2,X3) = X3 )
| ( c63(ins(X0,X1,X2,X3),X3,X4) = X3 )
| ~ le(X2,X3,X0,X1)
| ~ sameside(ins(X0,X1,X2,X3),X3,X4) ),
inference(superposition,[status(thm)],[c_481095,c_481229]) ).
tcf(c_542559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,X1,c63(X0,X1,ins(X2,X3,X4,X1)))
| ( X1 = X4 )
| ( ins(X2,X3,X4,X1) = X1 )
| ( c63(X0,X1,ins(X2,X3,X4,X1)) = X1 )
| ~ le(X4,X1,X2,X3)
| ~ sameside(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_481156,c_481229]) ).
tcf(c_542560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X4,ins(X5,X6,X0,X1),X0)
| s_t(X0,ins(X2,X3,X4,ins(X5,X6,X0,X1)),ins(X5,X6,X0,X1))
| ( X0 = X1 )
| ( ins(X5,X6,X0,X1) = X4 )
| ( ins(X5,X6,X0,X1) = X0 )
| ( ins(X2,X3,X4,ins(X5,X6,X0,X1)) = ins(X5,X6,X0,X1) )
| ~ le(X0,X1,X5,X6)
| ~ le(X4,ins(X5,X6,X0,X1),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,ins(X5,X6,X0,X1))) ),
inference(superposition,[status(thm)],[c_480739,c_481229]) ).
tcf(c_542562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X0)
| s_t(X0,ins(X2,X3,X0,X1),X1)
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ s_t(X0,X1,X1)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_481229]) ).
tcf(c_542563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X4,ins(X5,X6,X0,X1),X1)
| s_t(X1,ins(X2,X3,X4,ins(X5,X6,X0,X1)),ins(X5,X6,X0,X1))
| ( X0 = X1 )
| ( ins(X5,X6,X0,X1) = X4 )
| ( ins(X5,X6,X0,X1) = X1 )
| ( ins(X2,X3,X4,ins(X5,X6,X0,X1)) = ins(X5,X6,X0,X1) )
| ~ le(X0,X1,X5,X6)
| ~ le(X4,ins(X5,X6,X0,X1),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,ins(X5,X6,X0,X1))) ),
inference(superposition,[status(thm)],[c_480738,c_481229]) ).
tcf(c_542564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X2,X3,ins(X4,X5,ins(X0,X1,X2,X3),X3))
| ( X2 = X3 )
| ( ins(X0,X1,X2,X3) = X3 )
| ( ins(X4,X5,ins(X0,X1,X2,X3),X3) = X3 )
| ~ le(X2,X3,X0,X1)
| ~ le(ins(X0,X1,X2,X3),X3,X4,X5) ),
inference(superposition,[status(thm)],[c_480747,c_481229]) ).
tcf(c_542565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X3,ip(X4,X0,X5,X6,X7),X0)
| s_t(X0,ins(X1,X2,X3,ip(X4,X0,X5,X6,X7)),ip(X4,X0,X5,X6,X7))
| ( ip(X4,X0,X5,X6,X7) = X3 )
| ( ip(X4,X0,X5,X6,X7) = X0 )
| ( ins(X1,X2,X3,ip(X4,X0,X5,X6,X7)) = ip(X4,X0,X5,X6,X7) )
| ~ s_t(X6,X7,X5)
| ~ s_t(X4,X0,X5)
| ~ le(X3,ip(X4,X0,X5,X6,X7),X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,ip(X4,X0,X5,X6,X7)),X6) ),
inference(superposition,[status(thm)],[c_480702,c_481229]) ).
tcf(c_542566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X4,ip(X5,X0,X6,X1,X7),X0)
| ( ip(X5,X0,X6,X1,X7) = X4 )
| ( ip(X5,X0,X6,X1,X7) = X0 )
| ( ins(X2,X3,X4,ip(X5,X0,X6,X1,X7)) = ip(X5,X0,X6,X1,X7) )
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X7,X6)
| ~ le(X4,ip(X5,X0,X6,X1,X7),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,ip(X5,X0,X6,X1,X7))) ),
inference(superposition,[status(thm)],[c_480205,c_481229]) ).
tcf(c_542567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X4,X1,ip(X5,X0,X6,X1,X7))
| ( X1 = X4 )
| ( ins(X2,X3,X4,X1) = X1 )
| ( ip(X5,X0,X6,X1,X7) = X1 )
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X7,X6)
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_480135,c_481229]) ).
tcf(c_542568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X3,ip(X4,X5,X6,X7,X0),X0)
| s_t(X0,ins(X1,X2,X3,ip(X4,X5,X6,X7,X0)),ip(X4,X5,X6,X7,X0))
| ( ip(X4,X5,X6,X7,X0) = X3 )
| ( ip(X4,X5,X6,X7,X0) = X0 )
| ( ins(X1,X2,X3,ip(X4,X5,X6,X7,X0)) = ip(X4,X5,X6,X7,X0) )
| ~ s_t(X7,X0,X6)
| ~ s_t(X4,X5,X6)
| ~ le(X3,ip(X4,X5,X6,X7,X0),X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,ip(X4,X5,X6,X7,X0)),X4) ),
inference(superposition,[status(thm)],[c_480703,c_481229]) ).
tcf(c_542569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X4,ip(X1,X5,X6,X7,X0),X0)
| ( ip(X1,X5,X6,X7,X0) = X4 )
| ( ip(X1,X5,X6,X7,X0) = X0 )
| ( ins(X2,X3,X4,ip(X1,X5,X6,X7,X0)) = ip(X1,X5,X6,X7,X0) )
| ~ s_t(X7,X0,X6)
| ~ s_t(X1,X5,X6)
| ~ le(X4,ip(X1,X5,X6,X7,X0),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,ip(X1,X5,X6,X7,X0))) ),
inference(superposition,[status(thm)],[c_480206,c_481229]) ).
tcf(c_542570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X4,X1,ip(X1,X5,X6,X7,X0))
| ( X1 = X4 )
| ( ins(X2,X3,X4,X1) = X1 )
| ( ip(X1,X5,X6,X7,X0) = X1 )
| ~ s_t(X7,X0,X6)
| ~ s_t(X1,X5,X6)
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_480136,c_481229]) ).
tcf(c_542571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X4,ext(X0,X1,X5,X6),X0)
| s_t(X0,ins(X2,X3,X4,ext(X0,X1,X5,X6)),ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ( ext(X0,X1,X5,X6) = X4 )
| ( ext(X0,X1,X5,X6) = X0 )
| ( ins(X2,X3,X4,ext(X0,X1,X5,X6)) = ext(X0,X1,X5,X6) )
| ~ le(X4,ext(X0,X1,X5,X6),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,ext(X0,X1,X5,X6))) ),
inference(superposition,[status(thm)],[c_480599,c_481229]) ).
tcf(c_542572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X4,c63(X0,X1,X5),X0)
| s_t(X0,ins(X2,X3,X4,c63(X0,X1,X5)),c63(X0,X1,X5))
| ( X0 = X1 )
| ( c63(X0,X1,X5) = X4 )
| ( c63(X0,X1,X5) = X0 )
| ( ins(X2,X3,X4,c63(X0,X1,X5)) = c63(X0,X1,X5) )
| ~ sameside(X0,X1,X5)
| ~ le(X4,c63(X0,X1,X5),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,c63(X0,X1,X5))) ),
inference(superposition,[status(thm)],[c_481087,c_481229]) ).
tcf(c_542573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X4,c63(X5,X1,X0),X0)
| s_t(X0,ins(X2,X3,X4,c63(X5,X1,X0)),c63(X5,X1,X0))
| ( X0 = X1 )
| ( c63(X5,X1,X0) = X4 )
| ( c63(X5,X1,X0) = X0 )
| ( ins(X2,X3,X4,c63(X5,X1,X0)) = c63(X5,X1,X0) )
| ~ sameside(X5,X1,X0)
| ~ le(X4,c63(X5,X1,X0),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,c63(X5,X1,X0))) ),
inference(superposition,[status(thm)],[c_481148,c_481229]) ).
tcf(c_542574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X4,ext(X0,X1,X5,X6),X1)
| s_t(X1,ins(X2,X3,X4,ext(X0,X1,X5,X6)),ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ( ext(X0,X1,X5,X6) = X4 )
| ( ext(X0,X1,X5,X6) = X1 )
| ( ins(X2,X3,X4,ext(X0,X1,X5,X6)) = ext(X0,X1,X5,X6) )
| ~ le(X4,ext(X0,X1,X5,X6),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,ext(X0,X1,X5,X6))) ),
inference(superposition,[status(thm)],[c_480646,c_481229]) ).
tcf(c_542575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X4,c63(X0,X1,X5),X1)
| s_t(X1,ins(X2,X3,X4,c63(X0,X1,X5)),c63(X0,X1,X5))
| ( X0 = X1 )
| ( c63(X0,X1,X5) = X4 )
| ( c63(X0,X1,X5) = X1 )
| ( ins(X2,X3,X4,c63(X0,X1,X5)) = c63(X0,X1,X5) )
| ~ sameside(X0,X1,X5)
| ~ le(X4,c63(X0,X1,X5),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,c63(X0,X1,X5))) ),
inference(superposition,[status(thm)],[c_481086,c_481229]) ).
tcf(c_542576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X4,c63(X5,X1,X0),X1)
| s_t(X1,ins(X2,X3,X4,c63(X5,X1,X0)),c63(X5,X1,X0))
| ( X0 = X1 )
| ( c63(X5,X1,X0) = X4 )
| ( c63(X5,X1,X0) = X1 )
| ( ins(X2,X3,X4,c63(X5,X1,X0)) = c63(X5,X1,X0) )
| ~ sameside(X5,X1,X0)
| ~ le(X4,c63(X5,X1,X0),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,c63(X5,X1,X0))) ),
inference(superposition,[status(thm)],[c_481147,c_481229]) ).
tcf(c_542578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X3,crossbar(X4,X5,X6,X7,X8,X0),X0)
| s_t(X0,ins(X1,X2,X3,crossbar(X4,X5,X6,X7,X8,X0)),crossbar(X4,X5,X6,X7,X8,X0))
| ( crossbar(X4,X5,X6,X7,X8,X0) = X3 )
| ( crossbar(X4,X5,X6,X7,X8,X0) = X0 )
| ( ins(X1,X2,X3,crossbar(X4,X5,X6,X7,X8,X0)) = crossbar(X4,X5,X6,X7,X8,X0) )
| ~ s_t(X7,X8,X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X4,X0,X7)
| ~ le(X3,crossbar(X4,X5,X6,X7,X8,X0),X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,crossbar(X4,X5,X6,X7,X8,X0)),X6) ),
inference(superposition,[status(thm)],[c_480706,c_481229]) ).
tcf(c_542579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X4,crossbar(X5,X6,X1,X7,X8,X0),X0)
| ( crossbar(X5,X6,X1,X7,X8,X0) = X4 )
| ( crossbar(X5,X6,X1,X7,X8,X0) = X0 )
| ( ins(X2,X3,X4,crossbar(X5,X6,X1,X7,X8,X0)) = crossbar(X5,X6,X1,X7,X8,X0) )
| ~ s_t(X7,X8,X1)
| ~ s_t(X5,X6,X1)
| ~ s_t(X5,X0,X7)
| ~ le(X4,crossbar(X5,X6,X1,X7,X8,X0),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,crossbar(X5,X6,X1,X7,X8,X0))) ),
inference(superposition,[status(thm)],[c_480256,c_481229]) ).
tcf(c_542580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X4,X1,crossbar(X5,X6,X1,X7,X8,X0))
| ( X1 = X4 )
| ( ins(X2,X3,X4,X1) = X1 )
| ( crossbar(X5,X6,X1,X7,X8,X0) = X1 )
| ~ s_t(X7,X8,X1)
| ~ s_t(X5,X6,X1)
| ~ s_t(X5,X0,X7)
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_480259,c_481229]) ).
tcf(c_542581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X4,crossbar(X5,X0,X6,X7,X1,X8),X0)
| ( crossbar(X5,X0,X6,X7,X1,X8) = X4 )
| ( crossbar(X5,X0,X6,X7,X1,X8) = X0 )
| ( ins(X2,X3,X4,crossbar(X5,X0,X6,X7,X1,X8)) = crossbar(X5,X0,X6,X7,X1,X8) )
| ~ s_t(X7,X1,X6)
| ~ s_t(X5,X8,X7)
| ~ s_t(X5,X0,X6)
| ~ le(X4,crossbar(X5,X0,X6,X7,X1,X8),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,crossbar(X5,X0,X6,X7,X1,X8))) ),
inference(superposition,[status(thm)],[c_480318,c_481229]) ).
tcf(c_542582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X4,X1,crossbar(X5,X0,X6,X8,X1,X7))
| ( X1 = X4 )
| ( ins(X2,X3,X4,X1) = X1 )
| ( crossbar(X5,X0,X6,X8,X1,X7) = X1 )
| ~ s_t(X8,X1,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_480321,c_481229]) ).
tcf(c_542583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X3,crossbar(X4,X0,X5,X6,X7,X8),X0)
| s_t(X0,ins(X1,X2,X3,crossbar(X4,X0,X5,X6,X7,X8)),crossbar(X4,X0,X5,X6,X7,X8))
| ( crossbar(X4,X0,X5,X6,X7,X8) = X3 )
| ( crossbar(X4,X0,X5,X6,X7,X8) = X0 )
| ( ins(X1,X2,X3,crossbar(X4,X0,X5,X6,X7,X8)) = crossbar(X4,X0,X5,X6,X7,X8) )
| ~ s_t(X6,X7,X5)
| ~ s_t(X4,X8,X6)
| ~ s_t(X4,X0,X5)
| ~ le(X3,crossbar(X4,X0,X5,X6,X7,X8),X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,crossbar(X4,X0,X5,X6,X7,X8)),X7) ),
inference(superposition,[status(thm)],[c_480707,c_481229]) ).
tcf(c_542584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,s(s(X1,ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1)))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ( s(s(X1,ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1)) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_517647,c_481229]) ).
tcf(c_542585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,X1,ext(ins(X2,X3,X0,X1),s(X1,ins(X2,X3,X0,X1)),X4,X5))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ( ext(ins(X2,X3,X0,X1),s(X1,ins(X2,X3,X0,X1)),X4,X5) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_523173,c_481229]) ).
tcf(c_542586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,X1,s(ext(ins(X2,X3,X0,X1),X1,X4,X5),ins(X2,X3,X0,X1)))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ( s(ext(ins(X2,X3,X0,X1),X1,X4,X5),ins(X2,X3,X0,X1)) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_499667,c_481229]) ).
tcf(c_542589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X0)
| s_t(X0,ins(X2,X3,X0,X1),X1)
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_542562,c_72]) ).
tcf(c_542847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X2,X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_481230,c_128]) ).
tcf(c_542866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,ext(c63(X0,X1,X2),X1,X3,X4))
| ( X0 = X1 )
| ( ext(c63(X0,X1,X2),X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480073,c_542847]) ).
tcf(c_542867,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,s(X1,c63(X0,X1,X2)))
| ( X0 = X1 )
| ( s(X1,c63(X0,X1,X2)) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485941,c_542847]) ).
tcf(c_542868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,c63(c63(X0,X1,X2),X1,X3))
| ( X0 = X1 )
| ( c63(c63(X0,X1,X2),X1,X3) = X1 )
| ~ sameside(X0,X1,X2)
| ~ sameside(c63(X0,X1,X2),X1,X3) ),
inference(superposition,[status(thm)],[c_481095,c_542847]) ).
tcf(c_542869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X2,X1,c63(X0,X1,c63(X2,X1,X3)))
| ( X1 = X2 )
| ( c63(X0,X1,c63(X2,X1,X3)) = X1 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481156,c_542847]) ).
tcf(c_542870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X2,ins(X3,X4,X0,X1),X0)
| s_t(X0,c63(X2,ins(X3,X4,X0,X1),X5),ins(X3,X4,X0,X1))
| ( X0 = X1 )
| ( ins(X3,X4,X0,X1) = X2 )
| ( ins(X3,X4,X0,X1) = X0 )
| ~ le(X0,X1,X3,X4)
| ~ sameside(X2,ins(X3,X4,X0,X1),X5)
| ~ s_t(X0,X1,c63(X2,ins(X3,X4,X0,X1),X5)) ),
inference(superposition,[status(thm)],[c_480739,c_542847]) ).
tcf(c_542871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X2,ins(X3,X4,X0,X1),X1)
| s_t(X1,c63(X2,ins(X3,X4,X0,X1),X5),ins(X3,X4,X0,X1))
| ( X0 = X1 )
| ( ins(X3,X4,X0,X1) = X2 )
| ( ins(X3,X4,X0,X1) = X1 )
| ~ le(X0,X1,X3,X4)
| ~ sameside(X2,ins(X3,X4,X0,X1),X5)
| ~ s_t(X0,X1,c63(X2,ins(X3,X4,X0,X1),X5)) ),
inference(superposition,[status(thm)],[c_480738,c_542847]) ).
tcf(c_542872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,ins(X3,X4,c63(X0,X1,X2),X1))
| ( X0 = X1 )
| ( ins(X3,X4,c63(X0,X1,X2),X1) = X1 )
| ~ sameside(X0,X1,X2)
| ~ le(c63(X0,X1,X2),X1,X3,X4) ),
inference(superposition,[status(thm)],[c_480747,c_542847]) ).
tcf(c_542873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X1,ip(X2,X0,X3,X4,X5),X0)
| s_t(X0,c63(X1,ip(X2,X0,X3,X4,X5),X6),ip(X2,X0,X3,X4,X5))
| ( ip(X2,X0,X3,X4,X5) = X1 )
| ( ip(X2,X0,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X3)
| ~ sameside(X1,ip(X2,X0,X3,X4,X5),X6)
| ~ s_t(X0,c63(X1,ip(X2,X0,X3,X4,X5),X6),X4) ),
inference(superposition,[status(thm)],[c_480702,c_542847]) ).
tcf(c_542874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X2,ip(X3,X0,X4,X1,X5),X0)
| ( ip(X3,X0,X4,X1,X5) = X2 )
| ( ip(X3,X0,X4,X1,X5) = X0 )
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X5,X4)
| ~ sameside(X2,ip(X3,X0,X4,X1,X5),X6)
| ~ s_t(X0,X1,c63(X2,ip(X3,X0,X4,X1,X5),X6)) ),
inference(superposition,[status(thm)],[c_480205,c_542847]) ).
tcf(c_542875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X2,X1,ip(X4,X0,X5,X1,X6))
| ( X1 = X2 )
| ( ip(X4,X0,X5,X1,X6) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X4,X0,X5)
| ~ s_t(X1,X6,X5)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480135,c_542847]) ).
tcf(c_542876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X1,ip(X2,X3,X4,X5,X0),X0)
| s_t(X0,c63(X1,ip(X2,X3,X4,X5,X0),X6),ip(X2,X3,X4,X5,X0))
| ( ip(X2,X3,X4,X5,X0) = X1 )
| ( ip(X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4)
| ~ sameside(X1,ip(X2,X3,X4,X5,X0),X6)
| ~ s_t(X0,c63(X1,ip(X2,X3,X4,X5,X0),X6),X2) ),
inference(superposition,[status(thm)],[c_480703,c_542847]) ).
tcf(c_542877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X2,ip(X1,X3,X4,X5,X0),X0)
| ( ip(X1,X3,X4,X5,X0) = X2 )
| ( ip(X1,X3,X4,X5,X0) = X0 )
| ~ s_t(X5,X0,X4)
| ~ s_t(X1,X3,X4)
| ~ sameside(X2,ip(X1,X3,X4,X5,X0),X6)
| ~ s_t(X0,X1,c63(X2,ip(X1,X3,X4,X5,X0),X6)) ),
inference(superposition,[status(thm)],[c_480206,c_542847]) ).
tcf(c_542878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X2,X1,ip(X1,X4,X5,X6,X0))
| ( X1 = X2 )
| ( ip(X1,X4,X5,X6,X0) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X6,X0,X5)
| ~ s_t(X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480136,c_542847]) ).
tcf(c_542879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X2,ext(X0,X1,X3,X4),X0)
| s_t(X0,c63(X2,ext(X0,X1,X3,X4),X5),ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X2 )
| ( ext(X0,X1,X3,X4) = X0 )
| ~ sameside(X2,ext(X0,X1,X3,X4),X5)
| ~ s_t(X0,X1,c63(X2,ext(X0,X1,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_480599,c_542847]) ).
tcf(c_542880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,c63(X0,X1,X3),X0)
| s_t(X0,c63(X2,c63(X0,X1,X3),X4),c63(X0,X1,X3))
| ( X0 = X1 )
| ( c63(X0,X1,X3) = X2 )
| ( c63(X0,X1,X3) = X0 )
| ~ sameside(X0,X1,X3)
| ~ sameside(X2,c63(X0,X1,X3),X4)
| ~ s_t(X0,X1,c63(X2,c63(X0,X1,X3),X4)) ),
inference(superposition,[status(thm)],[c_481087,c_542847]) ).
tcf(c_542881,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,X0)
| s_t(X0,c63(X0,X1,X2),X1)
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481087,c_542847]) ).
tcf(c_542882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,c63(X3,X1,X0),X0)
| s_t(X0,c63(X2,c63(X3,X1,X0),X4),c63(X3,X1,X0))
| ( X0 = X1 )
| ( c63(X3,X1,X0) = X2 )
| ( c63(X3,X1,X0) = X0 )
| ~ sameside(X3,X1,X0)
| ~ sameside(X2,c63(X3,X1,X0),X4)
| ~ s_t(X0,X1,c63(X2,c63(X3,X1,X0),X4)) ),
inference(superposition,[status(thm)],[c_481148,c_542847]) ).
tcf(c_542884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X2,ext(X0,X1,X3,X4),X1)
| s_t(X1,c63(X2,ext(X0,X1,X3,X4),X5),ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X2 )
| ( ext(X0,X1,X3,X4) = X1 )
| ~ sameside(X2,ext(X0,X1,X3,X4),X5)
| ~ s_t(X0,X1,c63(X2,ext(X0,X1,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_480646,c_542847]) ).
tcf(c_542885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,c63(X0,X1,X3),X1)
| s_t(X1,c63(X2,c63(X0,X1,X3),X4),c63(X0,X1,X3))
| ( X0 = X1 )
| ( c63(X0,X1,X3) = X2 )
| ( c63(X0,X1,X3) = X1 )
| ~ sameside(X0,X1,X3)
| ~ sameside(X2,c63(X0,X1,X3),X4)
| ~ s_t(X0,X1,c63(X2,c63(X0,X1,X3),X4)) ),
inference(superposition,[status(thm)],[c_481086,c_542847]) ).
tcf(c_542887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,c63(X3,X1,X0),X1)
| s_t(X1,c63(X2,c63(X3,X1,X0),X4),c63(X3,X1,X0))
| ( X0 = X1 )
| ( c63(X3,X1,X0) = X2 )
| ( c63(X3,X1,X0) = X1 )
| ~ sameside(X3,X1,X0)
| ~ sameside(X2,c63(X3,X1,X0),X4)
| ~ s_t(X0,X1,c63(X2,c63(X3,X1,X0),X4)) ),
inference(superposition,[status(thm)],[c_481147,c_542847]) ).
tcf(c_542889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X3)
| ( X1 = X3 )
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_534516,c_542847]) ).
tcf(c_542891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X1,crossbar(X2,X3,X4,X5,X6,X0),X0)
| s_t(X0,c63(X1,crossbar(X2,X3,X4,X5,X6,X0),X7),crossbar(X2,X3,X4,X5,X6,X0))
| ( crossbar(X2,X3,X4,X5,X6,X0) = X1 )
| ( crossbar(X2,X3,X4,X5,X6,X0) = X0 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X0,X5)
| ~ sameside(X1,crossbar(X2,X3,X4,X5,X6,X0),X7)
| ~ s_t(X0,c63(X1,crossbar(X2,X3,X4,X5,X6,X0),X7),X4) ),
inference(superposition,[status(thm)],[c_480706,c_542847]) ).
tcf(c_542892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X2,crossbar(X3,X4,X1,X5,X6,X0),X0)
| ( crossbar(X3,X4,X1,X5,X6,X0) = X2 )
| ( crossbar(X3,X4,X1,X5,X6,X0) = X0 )
| ~ s_t(X5,X6,X1)
| ~ s_t(X3,X4,X1)
| ~ s_t(X3,X0,X5)
| ~ sameside(X2,crossbar(X3,X4,X1,X5,X6,X0),X7)
| ~ s_t(X0,X1,c63(X2,crossbar(X3,X4,X1,X5,X6,X0),X7)) ),
inference(superposition,[status(thm)],[c_480256,c_542847]) ).
tcf(c_542893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X2,X1,crossbar(X4,X5,X1,X6,X7,X0))
| ( X1 = X2 )
| ( crossbar(X4,X5,X1,X6,X7,X0) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X6,X7,X1)
| ~ s_t(X4,X5,X1)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480259,c_542847]) ).
tcf(c_542894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X2,crossbar(X3,X0,X4,X5,X1,X6),X0)
| ( crossbar(X3,X0,X4,X5,X1,X6) = X2 )
| ( crossbar(X3,X0,X4,X5,X1,X6) = X0 )
| ~ s_t(X5,X1,X4)
| ~ s_t(X3,X6,X5)
| ~ s_t(X3,X0,X4)
| ~ sameside(X2,crossbar(X3,X0,X4,X5,X1,X6),X7)
| ~ s_t(X0,X1,c63(X2,crossbar(X3,X0,X4,X5,X1,X6),X7)) ),
inference(superposition,[status(thm)],[c_480318,c_542847]) ).
tcf(c_542895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X2,X1,crossbar(X4,X0,X5,X7,X1,X6))
| ( X1 = X2 )
| ( crossbar(X4,X0,X5,X7,X1,X6) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X7,X1,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480321,c_542847]) ).
tcf(c_542896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X1,crossbar(X2,X0,X3,X4,X5,X6),X0)
| s_t(X0,c63(X1,crossbar(X2,X0,X3,X4,X5,X6),X7),crossbar(X2,X0,X3,X4,X5,X6))
| ( crossbar(X2,X0,X3,X4,X5,X6) = X1 )
| ( crossbar(X2,X0,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X0,X3)
| ~ sameside(X1,crossbar(X2,X0,X3,X4,X5,X6),X7)
| ~ s_t(X0,c63(X1,crossbar(X2,X0,X3,X4,X5,X6),X7),X5) ),
inference(superposition,[status(thm)],[c_480707,c_542847]) ).
tcf(c_542897,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,s(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2)))
| ( X0 = X1 )
| ( s(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2)) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517647,c_542847]) ).
tcf(c_542898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,ext(c63(X0,X1,X2),s(X1,c63(X0,X1,X2)),X3,X4))
| ( X0 = X1 )
| ( ext(c63(X0,X1,X2),s(X1,c63(X0,X1,X2)),X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523173,c_542847]) ).
tcf(c_542899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,s(ext(c63(X0,X1,X2),X1,X3,X4),c63(X0,X1,X2)))
| ( X0 = X1 )
| ( s(ext(c63(X0,X1,X2),X1,X3,X4),c63(X0,X1,X2)) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499667,c_542847]) ).
tcf(c_542900,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,X0)
| s_t(X0,c63(X0,X1,X2),X1)
| ( X0 = X1 )
| ~ sameside(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_542881,c_72]) ).
tcf(c_543337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X3,X1,X0)
| ( X1 = X3 )
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_481231,c_128]) ).
tcf(c_543354,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_129,c_543337]) ).
tcf(c_543355,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,X1,X2)
| ( X1 = X2 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_130,c_543337]) ).
tcf(c_543356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,X1,ext(c63(X0,X1,X2),X1,X3,X4))
| ( X1 = X2 )
| ( ext(c63(X0,X1,X2),X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480073,c_543337]) ).
tcf(c_543357,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,X1,s(X1,c63(X0,X1,X2)))
| ( X1 = X2 )
| ( s(X1,c63(X0,X1,X2)) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485941,c_543337]) ).
tcf(c_543358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X2,X1,c63(c63(X0,X1,X2),X1,X3))
| ( X1 = X2 )
| ( c63(c63(X0,X1,X2),X1,X3) = X1 )
| ~ sameside(X0,X1,X2)
| ~ sameside(c63(X0,X1,X2),X1,X3) ),
inference(superposition,[status(thm)],[c_481095,c_543337]) ).
tcf(c_543359,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X3,X1,c63(X0,X1,c63(X2,X1,X3)))
| ( X1 = X3 )
| ( c63(X0,X1,c63(X2,X1,X3)) = X1 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481156,c_543337]) ).
tcf(c_543360,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X5,ins(X3,X4,X0,X1),X0)
| s_t(X0,c63(X2,ins(X3,X4,X0,X1),X5),ins(X3,X4,X0,X1))
| ( X0 = X1 )
| ( ins(X3,X4,X0,X1) = X5 )
| ( ins(X3,X4,X0,X1) = X0 )
| ~ le(X0,X1,X3,X4)
| ~ sameside(X2,ins(X3,X4,X0,X1),X5)
| ~ s_t(X0,X1,c63(X2,ins(X3,X4,X0,X1),X5)) ),
inference(superposition,[status(thm)],[c_480739,c_543337]) ).
tcf(c_543361,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X5,ins(X3,X4,X0,X1),X1)
| s_t(X1,c63(X2,ins(X3,X4,X0,X1),X5),ins(X3,X4,X0,X1))
| ( X0 = X1 )
| ( ins(X3,X4,X0,X1) = X5 )
| ( ins(X3,X4,X0,X1) = X1 )
| ~ le(X0,X1,X3,X4)
| ~ sameside(X2,ins(X3,X4,X0,X1),X5)
| ~ s_t(X0,X1,c63(X2,ins(X3,X4,X0,X1),X5)) ),
inference(superposition,[status(thm)],[c_480738,c_543337]) ).
tcf(c_543362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,X1,ins(X3,X4,c63(X0,X1,X2),X1))
| ( X1 = X2 )
| ( ins(X3,X4,c63(X0,X1,X2),X1) = X1 )
| ~ sameside(X0,X1,X2)
| ~ le(c63(X0,X1,X2),X1,X3,X4) ),
inference(superposition,[status(thm)],[c_480747,c_543337]) ).
tcf(c_543363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X6,ip(X2,X0,X3,X4,X5),X0)
| s_t(X0,c63(X1,ip(X2,X0,X3,X4,X5),X6),ip(X2,X0,X3,X4,X5))
| ( ip(X2,X0,X3,X4,X5) = X6 )
| ( ip(X2,X0,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X3)
| ~ sameside(X1,ip(X2,X0,X3,X4,X5),X6)
| ~ s_t(X0,c63(X1,ip(X2,X0,X3,X4,X5),X6),X4) ),
inference(superposition,[status(thm)],[c_480702,c_543337]) ).
tcf(c_543364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X6,ip(X3,X0,X4,X1,X5),X0)
| ( ip(X3,X0,X4,X1,X5) = X6 )
| ( ip(X3,X0,X4,X1,X5) = X0 )
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X5,X4)
| ~ sameside(X2,ip(X3,X0,X4,X1,X5),X6)
| ~ s_t(X0,X1,c63(X2,ip(X3,X0,X4,X1,X5),X6)) ),
inference(superposition,[status(thm)],[c_480205,c_543337]) ).
tcf(c_543365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X3,X1,ip(X4,X0,X5,X1,X6))
| ( X1 = X3 )
| ( ip(X4,X0,X5,X1,X6) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X4,X0,X5)
| ~ s_t(X1,X6,X5)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480135,c_543337]) ).
tcf(c_543366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X6,ip(X2,X3,X4,X5,X0),X0)
| s_t(X0,c63(X1,ip(X2,X3,X4,X5,X0),X6),ip(X2,X3,X4,X5,X0))
| ( ip(X2,X3,X4,X5,X0) = X6 )
| ( ip(X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4)
| ~ sameside(X1,ip(X2,X3,X4,X5,X0),X6)
| ~ s_t(X0,c63(X1,ip(X2,X3,X4,X5,X0),X6),X2) ),
inference(superposition,[status(thm)],[c_480703,c_543337]) ).
tcf(c_543367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X6,ip(X1,X3,X4,X5,X0),X0)
| ( ip(X1,X3,X4,X5,X0) = X6 )
| ( ip(X1,X3,X4,X5,X0) = X0 )
| ~ s_t(X5,X0,X4)
| ~ s_t(X1,X3,X4)
| ~ sameside(X2,ip(X1,X3,X4,X5,X0),X6)
| ~ s_t(X0,X1,c63(X2,ip(X1,X3,X4,X5,X0),X6)) ),
inference(superposition,[status(thm)],[c_480206,c_543337]) ).
tcf(c_543368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X3,X1,ip(X1,X4,X5,X6,X0))
| ( X1 = X3 )
| ( ip(X1,X4,X5,X6,X0) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X6,X0,X5)
| ~ s_t(X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480136,c_543337]) ).
tcf(c_543369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X5,ext(X0,X1,X3,X4),X0)
| s_t(X0,c63(X2,ext(X0,X1,X3,X4),X5),ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X5 )
| ( ext(X0,X1,X3,X4) = X0 )
| ~ sameside(X2,ext(X0,X1,X3,X4),X5)
| ~ s_t(X0,X1,c63(X2,ext(X0,X1,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_480599,c_543337]) ).
tcf(c_543370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,c63(X0,X1,X3),X0)
| s_t(X0,c63(X2,c63(X0,X1,X3),X4),c63(X0,X1,X3))
| ( X0 = X1 )
| ( c63(X0,X1,X3) = X4 )
| ( c63(X0,X1,X3) = X0 )
| ~ sameside(X0,X1,X3)
| ~ sameside(X2,c63(X0,X1,X3),X4)
| ~ s_t(X0,X1,c63(X2,c63(X0,X1,X3),X4)) ),
inference(superposition,[status(thm)],[c_481087,c_543337]) ).
tcf(c_543371,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,X1,X0)
| s_t(X0,c63(X0,X1,X2),X1)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481087,c_543337]) ).
tcf(c_543372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,c63(X3,X1,X0),X0)
| s_t(X0,c63(X2,c63(X3,X1,X0),X4),c63(X3,X1,X0))
| ( X0 = X1 )
| ( c63(X3,X1,X0) = X4 )
| ( c63(X3,X1,X0) = X0 )
| ~ sameside(X3,X1,X0)
| ~ sameside(X2,c63(X3,X1,X0),X4)
| ~ s_t(X0,X1,c63(X2,c63(X3,X1,X0),X4)) ),
inference(superposition,[status(thm)],[c_481148,c_543337]) ).
tcf(c_543373,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,X0)
| s_t(X0,c63(X2,X1,X0),X1)
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481148,c_543337]) ).
tcf(c_543374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X5,ext(X0,X1,X3,X4),X1)
| s_t(X1,c63(X2,ext(X0,X1,X3,X4),X5),ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X5 )
| ( ext(X0,X1,X3,X4) = X1 )
| ~ sameside(X2,ext(X0,X1,X3,X4),X5)
| ~ s_t(X0,X1,c63(X2,ext(X0,X1,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_480646,c_543337]) ).
tcf(c_543375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,c63(X0,X1,X3),X1)
| s_t(X1,c63(X2,c63(X0,X1,X3),X4),c63(X0,X1,X3))
| ( X0 = X1 )
| ( c63(X0,X1,X3) = X4 )
| ( c63(X0,X1,X3) = X1 )
| ~ sameside(X0,X1,X3)
| ~ sameside(X2,c63(X0,X1,X3),X4)
| ~ s_t(X0,X1,c63(X2,c63(X0,X1,X3),X4)) ),
inference(superposition,[status(thm)],[c_481086,c_543337]) ).
tcf(c_543377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,c63(X3,X1,X0),X1)
| s_t(X1,c63(X2,c63(X3,X1,X0),X4),c63(X3,X1,X0))
| ( X0 = X1 )
| ( c63(X3,X1,X0) = X4 )
| ( c63(X3,X1,X0) = X1 )
| ~ sameside(X3,X1,X0)
| ~ sameside(X2,c63(X3,X1,X0),X4)
| ~ s_t(X0,X1,c63(X2,c63(X3,X1,X0),X4)) ),
inference(superposition,[status(thm)],[c_481147,c_543337]) ).
tcf(c_543380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X2,X1,X3)
| ( X1 = X3 )
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_528230,c_543337]) ).
tcf(c_543381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X7,crossbar(X2,X3,X4,X5,X6,X0),X0)
| s_t(X0,c63(X1,crossbar(X2,X3,X4,X5,X6,X0),X7),crossbar(X2,X3,X4,X5,X6,X0))
| ( crossbar(X2,X3,X4,X5,X6,X0) = X7 )
| ( crossbar(X2,X3,X4,X5,X6,X0) = X0 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X0,X5)
| ~ sameside(X1,crossbar(X2,X3,X4,X5,X6,X0),X7)
| ~ s_t(X0,c63(X1,crossbar(X2,X3,X4,X5,X6,X0),X7),X4) ),
inference(superposition,[status(thm)],[c_480706,c_543337]) ).
tcf(c_543382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X7,crossbar(X3,X4,X1,X5,X6,X0),X0)
| ( crossbar(X3,X4,X1,X5,X6,X0) = X7 )
| ( crossbar(X3,X4,X1,X5,X6,X0) = X0 )
| ~ s_t(X5,X6,X1)
| ~ s_t(X3,X4,X1)
| ~ s_t(X3,X0,X5)
| ~ sameside(X2,crossbar(X3,X4,X1,X5,X6,X0),X7)
| ~ s_t(X0,X1,c63(X2,crossbar(X3,X4,X1,X5,X6,X0),X7)) ),
inference(superposition,[status(thm)],[c_480256,c_543337]) ).
tcf(c_543383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X3,X1,crossbar(X4,X5,X1,X6,X7,X0))
| ( X1 = X3 )
| ( crossbar(X4,X5,X1,X6,X7,X0) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X6,X7,X1)
| ~ s_t(X4,X5,X1)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480259,c_543337]) ).
tcf(c_543384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X7,crossbar(X3,X0,X4,X5,X1,X6),X0)
| ( crossbar(X3,X0,X4,X5,X1,X6) = X7 )
| ( crossbar(X3,X0,X4,X5,X1,X6) = X0 )
| ~ s_t(X5,X1,X4)
| ~ s_t(X3,X6,X5)
| ~ s_t(X3,X0,X4)
| ~ sameside(X2,crossbar(X3,X0,X4,X5,X1,X6),X7)
| ~ s_t(X0,X1,c63(X2,crossbar(X3,X0,X4,X5,X1,X6),X7)) ),
inference(superposition,[status(thm)],[c_480318,c_543337]) ).
tcf(c_543385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X3,X1,crossbar(X4,X0,X5,X7,X1,X6))
| ( X1 = X3 )
| ( crossbar(X4,X0,X5,X7,X1,X6) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X7,X1,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480321,c_543337]) ).
tcf(c_543386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X7,crossbar(X2,X0,X3,X4,X5,X6),X0)
| s_t(X0,c63(X1,crossbar(X2,X0,X3,X4,X5,X6),X7),crossbar(X2,X0,X3,X4,X5,X6))
| ( crossbar(X2,X0,X3,X4,X5,X6) = X7 )
| ( crossbar(X2,X0,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X0,X3)
| ~ sameside(X1,crossbar(X2,X0,X3,X4,X5,X6),X7)
| ~ s_t(X0,c63(X1,crossbar(X2,X0,X3,X4,X5,X6),X7),X5) ),
inference(superposition,[status(thm)],[c_480707,c_543337]) ).
tcf(c_543387,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,X1,s(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2)))
| ( X1 = X2 )
| ( s(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2)) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517647,c_543337]) ).
tcf(c_543388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,X1,ext(c63(X0,X1,X2),s(X1,c63(X0,X1,X2)),X3,X4))
| ( X1 = X2 )
| ( ext(c63(X0,X1,X2),s(X1,c63(X0,X1,X2)),X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523173,c_543337]) ).
tcf(c_543389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,X1,s(ext(c63(X0,X1,X2),X1,X3,X4),c63(X0,X1,X2)))
| ( X1 = X2 )
| ( s(ext(c63(X0,X1,X2),X1,X3,X4),c63(X0,X1,X2)) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499667,c_543337]) ).
tcf(c_543397,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,X1,X2)
| s_t(X2,c63(X0,X1,X2),X1)
| ( X1 = X2 )
| ~ sameside(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_543373,c_72]) ).
tcf(c_543412,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,X1,X0)
| s_t(X0,c63(X0,X1,X2),X1)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_543371,c_72]) ).
tcf(c_543630,plain,
! [X0: $i,X1: $i] : s_col(X0,s(s(X1,s(X0,X1)),s(X0,X1)),s(X0,X1)),
inference(superposition,[status(thm)],[c_161,c_529293]) ).
tcf(c_543632,plain,
! [X0: $i,X1: $i] :
( s_t(X1,X0,s(s(s(X0,X1),X1),X1))
| s_t(X0,s(s(s(X0,X1),X1),X1),X1)
| s_t(s(s(s(X0,X1),X1),X1),X1,X0) ),
inference(superposition,[status(thm)],[c_529293,c_222]) ).
tcf(c_543633,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0,X1),X1),X1) = X1 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_r(X0,s(s(s(X0,X1),X1),X1),X1) ),
inference(superposition,[status(thm)],[c_529293,c_187]) ).
tcf(c_543634,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,X0,X2)
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_r(s(s(s(X0,X1),X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_529293,c_181]) ).
tcf(c_543635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X1 = X2 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X1)
| ~ s_col(X0,s(s(s(X0,X1),X1),X1),X3)
| ~ s_col(X0,s(s(s(X0,X1),X1),X1),X2) ),
inference(superposition,[status(thm)],[c_529293,c_152]) ).
tcf(c_543636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| ( X1 = X2 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(X0,s(s(s(X0,X1),X1),X1),X3)
| ~ s_col(X0,s(s(s(X0,X1),X1),X1),X2) ),
inference(superposition,[status(thm)],[c_529293,c_151]) ).
tcf(c_543637,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(X0,s(s(s(X0,X1),X1),X1),X2) ),
inference(superposition,[status(thm)],[c_529293,c_148]) ).
tcf(c_543638,plain,
! [X0: $i,X1: $i] :
( sameside(X0,s(s(s(X0,X1),X1),X1),X1)
| s_t(X0,s(s(s(X0,X1),X1),X1),X1) ),
inference(superposition,[status(thm)],[c_529293,c_134]) ).
tcf(c_543639,plain,
! [X0: $i,X1: $i] : s_col(X0,X1,s(s(s(X0,X1),X1),X1)),
inference(superposition,[status(thm)],[c_529293,c_98]) ).
tcf(c_543640,plain,
! [X0: $i,X1: $i] : s_col(s(s(s(X0,X1),X1),X1),X0,X1),
inference(superposition,[status(thm)],[c_529293,c_97]) ).
tcf(c_543641,plain,
! [X0: $i,X1: $i] : s_col(X0,s(s(s(X1,X0),X0),X0),X1),
inference(superposition,[status(thm)],[c_529293,c_96]) ).
tcf(c_543644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,s(s(s(X0,X1),X1),X1),X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X1 = X2 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_r(X1,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,s(s(s(X0,X1),X1),X1),X2) ),
inference(superposition,[status(thm)],[c_529293,c_200]) ).
tcf(c_543698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ip(X3,X0,X2,X0,X1),X0)
| ~ s_t(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481403,c_481301]) ).
tcf(c_543699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(X3,X0,X2,X0,X1) = X0 )
| ~ s_t(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_135,c_481301]) ).
tcf(c_543734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ip(X0,X1,X2,X3,X0),X0)
| ~ s_t(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481403,c_481302]) ).
tcf(c_543748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,crossbar(X0,X3,X1,X2,X4,X1),X1)
| ~ s_t(X2,X4,X1)
| ~ s_t(X0,X3,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481403,c_481305]) ).
tcf(c_543749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(X0,X3,X1,X2,X4,X1) = X1 )
| ~ s_t(X2,X4,X1)
| ~ s_t(X0,X3,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_135,c_481305]) ).
tcf(c_543759,plain,
! [X0: $i,X1: $i] : s_col(s(s(X0,s(X1,X0)),s(X1,X0)),s(X1,X0),X1),
inference(superposition,[status(thm)],[c_161,c_529294]) ).
tcf(c_543762,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = X1 )
| ~ s_r(s(s(s(X0,X1),X1),X1),X1,X0) ),
inference(superposition,[status(thm)],[c_529294,c_187]) ).
tcf(c_543763,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,s(s(s(X1,X0),X0),X0),X2)
| ( s(s(s(X1,X0),X0),X0) = X0 )
| ~ s_r(X0,s(s(s(X1,X0),X0),X0),X2) ),
inference(superposition,[status(thm)],[c_529294,c_181]) ).
tcf(c_543764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X0 = X2 )
| ( s(s(s(X0,X1),X1),X1) = X1 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X0)
| ~ s_col(s(s(s(X0,X1),X1),X1),X1,X3)
| ~ s_col(s(s(s(X0,X1),X1),X1),X1,X2) ),
inference(superposition,[status(thm)],[c_529294,c_152]) ).
tcf(c_543765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X2,X3)
| ( X0 = X2 )
| ( s(s(s(X0,X1),X1),X1) = X1 )
| ~ s_col(s(s(s(X0,X1),X1),X1),X1,X3)
| ~ s_col(s(s(s(X0,X1),X1),X1),X1,X2) ),
inference(superposition,[status(thm)],[c_529294,c_151]) ).
tcf(c_543766,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(s(X0,X1),X1),X1),X0,X2)
| ( s(s(s(X0,X1),X1),X1) = X1 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(s(s(s(X0,X1),X1),X1),X1,X2) ),
inference(superposition,[status(thm)],[c_529294,c_148]) ).
tcf(c_543767,plain,
! [X0: $i,X1: $i] :
( sameside(s(s(s(X0,X1),X1),X1),X1,X0)
| s_t(s(s(s(X0,X1),X1),X1),X1,X0) ),
inference(superposition,[status(thm)],[c_529294,c_134]) ).
tcf(c_543773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(s(s(s(X0,X1),X1),X1),X1,X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X0 = X2 )
| ( s(s(s(X0,X1),X1),X1) = X1 )
| ~ s_r(X0,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(s(s(s(X0,X1),X1),X1),X1,X2) ),
inference(superposition,[status(thm)],[c_529294,c_200]) ).
tcf(c_543829,plain,
! [X0: $i,X1: $i] : s_col(s(X0,X1),X0,s(s(X1,s(X0,X1)),s(X0,X1))),
inference(superposition,[status(thm)],[c_161,c_529295]) ).
tcf(c_543832,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(s(s(X1,X0),X0),X0) = X1 )
| ~ s_r(X0,X1,s(s(s(X1,X0),X0),X0)) ),
inference(superposition,[status(thm)],[c_529295,c_187]) ).
tcf(c_543833,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(s(s(s(X0,X1),X1),X1),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529295,c_181]) ).
tcf(c_543834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(s(s(X2,X3),X3),X3) = X4 )
| ~ s_col(X3,X2,X5)
| ~ s_col(X3,X2,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,s(s(s(X2,X3),X3),X3)) ),
inference(superposition,[status(thm)],[c_529295,c_152]) ).
tcf(c_543835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(s(s(X1,X0),X0),X0),X2,X3)
| ( X0 = X1 )
| ( s(s(s(X1,X0),X0),X0) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529295,c_151]) ).
tcf(c_543836,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(s(X1,X0),X0),X0),X2)
| ( X0 = X1 )
| ( s(s(s(X1,X0),X0),X0) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529295,c_148]) ).
tcf(c_543843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X1,X0,X2,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = X2 )
| ~ s_col(X4,X5,X3)
| ~ s_col(X4,X5,X2)
| ~ s_col(X1,X0,X2)
| ~ s_r(s(s(s(X0,X1),X1),X1),X2,X3) ),
inference(superposition,[status(thm)],[c_529295,c_200]) ).
tcf(c_543897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X1,X3),X1)
| ~ s_t(X4,X1,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481403,c_481306]) ).
tcf(c_543982,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ le(X0,X0,X1,X2)
| ~ sameside(X0,X0,ext(X0,X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_523877,c_481307]) ).
tcf(c_543987,plain,
! [X0: $i,X1: $i] : s_t(s(s(X0,s(X1,X0)),s(X1,X0)),X1,s(X1,X0)),
inference(superposition,[status(thm)],[c_161,c_529313]) ).
tcf(c_543989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(s(s(s(X0,X1),X1),X1),X0,X1,X3,X0,X2) = X0 )
| ~ s_t(X3,X0,X1)
| ~ s_t(s(s(s(X0,X1),X1),X1),X2,X3) ),
inference(superposition,[status(thm)],[c_529313,c_480316]) ).
tcf(c_543990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(s(s(s(X0,X1),X1),X1),X0,X1,X2,X3,X1) = X1 )
| ~ s_t(X2,X3,X1)
| ~ s_t(s(s(s(X0,X1),X1),X1),X1,X2) ),
inference(superposition,[status(thm)],[c_529313,c_480254]) ).
tcf(c_543991,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0,X1),X1),X1) = X0 )
| ( ext(s(s(s(X0,X1),X1),X1),X0,X0,X1) = X1 ) ),
inference(superposition,[status(thm)],[c_529313,c_480013]) ).
tcf(c_543992,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0,X1),X1),X1) = X0 )
| ( ext(s(s(s(X0,X1),X1),X1),X0,X1,X0) = X1 ) ),
inference(superposition,[status(thm)],[c_529313,c_480011]) ).
tcf(c_543993,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(s(s(s(X1,X2),X2),X2),X1,X2,X0,s(s(s(X1,X2),X2),X2)) = s(s(s(X1,X2),X2),X2) )
| ~ s_t(X0,s(s(s(X1,X2),X2),X2),X2) ),
inference(superposition,[status(thm)],[c_529313,c_479924]) ).
tcf(c_543994,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(s(s(s(X0,X2),X2),X2),X0,X2,X0,X1) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529313,c_479914]) ).
tcf(c_543995,plain,
! [X0: $i,X1: $i] :
( sameside(X1,s(s(s(X0,X1),X1),X1),X0)
| ( s(s(s(X0,X1),X1),X1) = X1 )
| ( s(s(s(X0,X1),X1),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_529313,c_238]) ).
tcf(c_543996,plain,
! [X0: $i,X1: $i] :
( sameside(X0,s(s(s(X0,X1),X1),X1),X1)
| ( s(s(s(X0,X1),X1),X1) = xb )
| ( s(s(s(X0,X1),X1),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_529313,c_237]) ).
tcf(c_544001,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,s(s(s(X1,X2),X2),X2),X2)
| s_t(s(s(s(X1,X2),X2),X2),X0,X2)
| ( X1 = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529313,c_147]) ).
tcf(c_544002,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,s(s(s(X1,X2),X2),X2))
| ( X1 = X2 )
| ( s(s(s(X1,X2),X2),X2) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529313,c_145]) ).
tcf(c_544003,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,s(s(s(X1,X2),X2),X2))
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(s(s(X1,X2),X2),X2) = X1 )
| ~ s_col(X0,X1,s(s(s(X1,X2),X2),X2)) ),
inference(superposition,[status(thm)],[c_529313,c_143]) ).
tcf(c_544004,plain,
! [X0: $i,X1: $i] : ~ sameside(s(s(s(X0,X1),X1),X1),X0,X1),
inference(superposition,[status(thm)],[c_529313,c_133]) ).
tcf(c_544005,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(s(s(s(X1,X2),X2),X2),X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(s(s(X1,X2),X2),X2) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529313,c_131]) ).
tcf(c_544006,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,X1)
| ( X0 = X2 )
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ sameside(s(s(s(X0,X1),X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_529313,c_125]) ).
tcf(c_544007,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(s(s(X0,X1),X1),X1),X2,X0)
| s_t(s(s(s(X0,X1),X1),X1),X0,X2)
| ~ s_t(s(s(s(X0,X1),X1),X1),X2,X1) ),
inference(superposition,[status(thm)],[c_529313,c_109]) ).
tcf(c_544008,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,X1)
| s_t(X0,X1,X2)
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_t(s(s(s(X0,X1),X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_529313,c_108]) ).
tcf(c_544009,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(s(s(X0,X1),X1),X1),X2,X1)
| s_t(s(s(s(X0,X1),X1),X1),X1,X2)
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_t(s(s(s(X0,X1),X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_529313,c_107]) ).
tcf(c_544010,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(s(s(X0,X1),X1),X1),X0,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529313,c_81]) ).
tcf(c_544011,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(s(s(X0,X1),X1),X1),X0,X2)
| ~ s_t(s(s(s(X0,X1),X1),X1),X1,X2) ),
inference(superposition,[status(thm)],[c_529313,c_80]) ).
tcf(c_544012,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(s(s(X0,X2),X2),X2),X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529313,c_79]) ).
tcf(c_544013,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(s(s(X0,X1),X1),X1),X1,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529313,c_78]) ).
tcf(c_544014,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,X2)
| ~ s_t(s(s(s(X0,X1),X1),X1),X1,X2) ),
inference(superposition,[status(thm)],[c_529313,c_77]) ).
tcf(c_544015,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(s(s(X0,X2),X2),X2),X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529313,c_76]) ).
tcf(c_544016,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_t(X0,s(s(s(X0,X1),X1),X1),X1) ),
inference(superposition,[status(thm)],[c_529313,c_75]) ).
tcf(c_544018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,X0,s(s(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)))
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( s(s(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)) = X0 ) ),
inference(superposition,[status(thm)],[c_529313,c_481222]) ).
tcf(c_544019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(s(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)) = X0 )
| ( ext(s(s(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)),X0,X2,X3) = ext(X1,X0,X2,X3) ) ),
inference(superposition,[status(thm)],[c_529313,c_480012]) ).
tcf(c_544020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X4),s(s(s(ip(X0,X1,X2,X3,X4),X3),X3),X3))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(s(s(ip(X0,X1,X2,X3,X4),X3),X3),X3) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529313,c_481223]) ).
tcf(c_544021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),s(s(s(ip(X0,X1,X2,X3,X4),X0),X0),X0))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(s(s(ip(X0,X1,X2,X3,X4),X0),X0),X0) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529313,c_481224]) ).
tcf(c_544022,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,s(s(s(X1,ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1)))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ( s(s(s(X1,ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1)) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_529313,c_481229]) ).
tcf(c_544023,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,X1,s(s(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2)),c63(X0,X1,X2)))
| ( X1 = X2 )
| ( s(s(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2)),c63(X0,X1,X2)) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529313,c_543337]) ).
tcf(c_544024,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,s(s(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2)),c63(X0,X1,X2)))
| ( X0 = X1 )
| ( s(s(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2)),c63(X0,X1,X2)) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529313,c_542847]) ).
tcf(c_544025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(s(s(X0,ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1)) = X0 )
| ( ext(s(s(s(X0,ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1)),X0,X2,X3) = ins(X2,X3,X0,X1) )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_529313,c_480795]) ).
tcf(c_544026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,crossbar(X0,X1,X2,X4,X5,X3),s(s(s(crossbar(X0,X1,X2,X4,X5,X3),X2),X2),X2))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( s(s(s(crossbar(X0,X1,X2,X4,X5,X3),X2),X2),X2) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529313,c_481227]) ).
tcf(c_544027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X1,crossbar(X0,X1,X2,X4,X5,X3),s(s(s(crossbar(X0,X1,X2,X4,X5,X3),X5),X5),X5))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( s(s(s(crossbar(X0,X1,X2,X4,X5,X3),X5),X5),X5) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529313,c_481228]) ).
tcf(c_544203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,s(X0,X1),ext(s(X0,X1),X1,X2,X3)),
inference(superposition,[status(thm)],[c_161,c_535610]) ).
tcf(c_544206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X1,s(X0,X1),X2,X3) = X1 )
| ~ s_r(X0,X1,ext(X1,s(X0,X1),X2,X3)) ),
inference(superposition,[status(thm)],[c_535610,c_187]) ).
tcf(c_544207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(ext(X0,s(X1,X0),X3,X4),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_535610,c_181]) ).
tcf(c_544208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X7)
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(X2,s(X3,X2),X4,X5) = X6 )
| ~ s_col(X3,X2,X7)
| ~ s_col(X3,X2,X6)
| ~ s_col(X0,X1,X6)
| ~ s_col(X0,X1,ext(X2,s(X3,X2),X4,X5)) ),
inference(superposition,[status(thm)],[c_535610,c_152]) ).
tcf(c_544209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(ext(X1,s(X0,X1),X4,X5),X2,X3)
| ( X0 = X1 )
| ( ext(X1,s(X0,X1),X4,X5) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_535610,c_151]) ).
tcf(c_544210,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X1,s(X0,X1),X3,X4),X2)
| ( X0 = X1 )
| ( ext(X1,s(X0,X1),X3,X4) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_535610,c_148]) ).
tcf(c_544211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,ext(X1,s(X0,X1),X2,X3))
| s_t(X0,X1,ext(X1,s(X0,X1),X2,X3)) ),
inference(superposition,[status(thm)],[c_535610,c_134]) ).
tcf(c_544217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(X1,X0,X4,X6,X7)
| ( X6 = X7 )
| ( X4 = X5 )
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = X4 )
| ~ s_col(X6,X7,X5)
| ~ s_col(X6,X7,X4)
| ~ s_col(X1,X0,X4)
| ~ s_r(ext(X0,s(X1,X0),X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_535610,c_200]) ).
tcf(c_544303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X0,X2,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481333,c_218]) ).
tcf(c_544304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_r(X2,X2,X3)
| ~ s_r(X0,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481333,c_188]) ).
tcf(c_544305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X2,X2,X3)
| ~ s_col(X0,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481333,c_101]) ).
tcf(c_544306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X2,X3)
| ~ s_t(X0,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481333,c_93]) ).
tcf(c_544317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X1,X3,X3) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480032,c_481338]) ).
tcf(c_544318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,ext(X2,X1,X3,X4))
| s_t(X1,ext(X2,X1,X3,X4),X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481338,c_236]) ).
tcf(c_544319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ext(X2,X1,X4,X5),X1,X3)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X1,X4,X5) = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481338,c_137]) ).
tcf(c_544320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,ext(X2,X1,X3,X4))
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481338,c_136]) ).
tcf(c_544321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X2,X1,X3,X4),X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481338,c_132]) ).
tcf(c_544323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( ext(ext(X0,X1,X2,X3),X1,X4,X5) = X1 )
| ~ s_t(ext(ext(X0,X1,X2,X3),X1,X4,X5),X1,X0) ),
inference(superposition,[status(thm)],[c_481338,c_481300]) ).
tcf(c_544324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_481338,c_481337]) ).
tcf(c_544325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( s(X0,ext(X1,X0,X2,X3)) = X0 )
| ~ s_t(s(X0,ext(X1,X0,X2,X3)),X0,X1) ),
inference(superposition,[status(thm)],[c_481338,c_485953]) ).
tcf(c_544326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( c63(ext(X0,X1,X2,X3),X1,X4) = X1 )
| ~ sameside(ext(X0,X1,X2,X3),X1,X4)
| ~ s_t(c63(ext(X0,X1,X2,X3),X1,X4),X1,X0) ),
inference(superposition,[status(thm)],[c_481338,c_481308]) ).
tcf(c_544327,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X1 )
| ( c63(X0,X1,ext(X2,X1,X3,X4)) = X1 )
| ~ sameside(X0,X1,ext(X2,X1,X3,X4))
| ~ s_t(c63(X0,X1,ext(X2,X1,X3,X4)),X1,X2) ),
inference(superposition,[status(thm)],[c_481338,c_481309]) ).
tcf(c_544328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X3 )
| ( ext(X2,X3,X4,X5) = X3 )
| ( ins(X0,X1,ext(X2,X3,X4,X5),X3) = X3 )
| ~ le(ext(X2,X3,X4,X5),X3,X0,X1)
| ~ s_t(ins(X0,X1,ext(X2,X3,X4,X5),X3),X3,X2) ),
inference(superposition,[status(thm)],[c_481338,c_481307]) ).
tcf(c_544329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( s(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)) = X0 )
| ~ s_t(s(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)),X0,X1) ),
inference(superposition,[status(thm)],[c_481338,c_517634]) ).
tcf(c_544539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(ext(s(X0,X1),X1,X2,X3),X0,s(X0,X1)),
inference(superposition,[status(thm)],[c_161,c_535611]) ).
tcf(c_544542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ~ s_r(ext(X0,s(X1,X0),X2,X3),X1,X0) ),
inference(superposition,[status(thm)],[c_535611,c_187]) ).
tcf(c_544543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X1,ext(X1,s(X0,X1),X2,X3),X4)
| ( ext(X1,s(X0,X1),X2,X3) = X0 )
| ~ s_r(X0,ext(X1,s(X0,X1),X2,X3),X4) ),
inference(superposition,[status(thm)],[c_535611,c_181]) ).
tcf(c_544544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X6,X7,X5)
| ( X6 = X7 )
| ( X0 = X4 )
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ~ s_col(X6,X7,X4)
| ~ s_col(X6,X7,X0)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X1,X5)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_535611,c_152]) ).
tcf(c_544545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X4,X5)
| ( X0 = X4 )
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X1,X5)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_535611,c_151]) ).
tcf(c_544546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,s(X1,X0),X2,X3),X0,X4)
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_535611,c_148]) ).
tcf(c_544553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(ext(X0,s(X1,X0),X2,X3),X1,X4,X5,X6)
| ( X5 = X6 )
| ( X4 = X7 )
| ( X0 = X4 )
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ~ s_r(X0,X4,X7)
| ~ s_col(X5,X6,X7)
| ~ s_col(X5,X6,X4)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_535611,c_200]) ).
tcf(c_544599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(s(X0,X1),ext(s(X0,X1),X1,X2,X3),X0),
inference(superposition,[status(thm)],[c_161,c_535612]) ).
tcf(c_544602,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_r(X0,ext(X0,s(X1,X0),X2,X3),X1) ),
inference(superposition,[status(thm)],[c_535612,c_187]) ).
tcf(c_544603,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X1,X0,X4)
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_r(ext(X0,s(X1,X0),X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_535612,c_181]) ).
tcf(c_544604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X6,X7,X5)
| ( X6 = X7 )
| ( X1 = X4 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(X6,X7,X4)
| ~ s_col(X6,X7,X1)
| ~ s_col(X0,ext(X0,s(X1,X0),X2,X3),X5)
| ~ s_col(X0,ext(X0,s(X1,X0),X2,X3),X4) ),
inference(superposition,[status(thm)],[c_535612,c_152]) ).
tcf(c_544605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X1,X4,X5)
| ( X1 = X4 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(X0,ext(X0,s(X1,X0),X2,X3),X5)
| ~ s_col(X0,ext(X0,s(X1,X0),X2,X3),X4) ),
inference(superposition,[status(thm)],[c_535612,c_151]) ).
tcf(c_544606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(X0,ext(X0,s(X1,X0),X2,X3),X4) ),
inference(superposition,[status(thm)],[c_535612,c_148]) ).
tcf(c_544607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,ext(X0,s(X1,X0),X2,X3),X1)
| s_t(X0,ext(X0,s(X1,X0),X2,X3),X1) ),
inference(superposition,[status(thm)],[c_535612,c_134]) ).
tcf(c_544613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(X0,ext(X0,s(X1,X0),X2,X3),X4,X5,X6)
| ( X5 = X6 )
| ( X4 = X7 )
| ( X1 = X4 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_r(X1,X4,X7)
| ~ s_col(X5,X6,X7)
| ~ s_col(X5,X6,X4)
| ~ s_col(X0,ext(X0,s(X1,X0),X2,X3),X4) ),
inference(superposition,[status(thm)],[c_535612,c_200]) ).
tcf(c_544660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,ext(X0,X1,alpha,gamma))
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(X0,X1,alpha,gamma) = X1 )
| ( ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_138,c_481339]) ).
tcf(c_544670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X1,X2,X3,X4),X2,ip(X0,ext(X1,X2,X3,X4),X5,X1,X6))
| s_t(ext(X1,X2,X3,X4),ip(X0,ext(X1,X2,X3,X4),X5,X1,X6),X2)
| ~ s_t(X1,X6,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_56,c_481340]) ).
tcf(c_544671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X1,X2,X3,X4),X2,ip(X1,X6,X5,X0,ext(X1,X2,X3,X4)))
| s_t(ext(X1,X2,X3,X4),ip(X1,X6,X5,X0,ext(X1,X2,X3,X4)),X2)
| ~ s_t(X1,X6,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_57,c_481340]) ).
tcf(c_544673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(X0,X1,X2,X3),X1,ext(X0,X1,X2,X3))
| s_t(ext(X0,X1,X2,X3),ext(X0,X1,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_74,c_481340]) ).
tcf(c_544674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ext(X1,X2,X3,X4),X2,crossbar(X0,X6,X1,X5,X7,ext(X1,X2,X3,X4)))
| s_t(ext(X1,X2,X3,X4),crossbar(X0,X6,X1,X5,X7,ext(X1,X2,X3,X4)),X2)
| ~ s_t(X5,X7,X1)
| ~ s_t(X0,X6,X1)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_87,c_481340]) ).
tcf(c_544675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ext(X1,X2,X3,X4),X2,crossbar(X0,ext(X1,X2,X3,X4),X5,X7,X1,X6))
| s_t(ext(X1,X2,X3,X4),crossbar(X0,ext(X1,X2,X3,X4),X5,X7,X1,X6),X2)
| ~ s_t(X7,X1,X5)
| ~ s_t(X0,X6,X7)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_88,c_481340]) ).
tcf(c_544676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X2,X3,X4,X5),X3,ext(ext(X2,ext(X2,X3,X4,X5),alpha,gamma),ext(X2,X3,X4,X5),X0,X1))
| s_t(ext(X2,X3,X4,X5),ext(ext(X2,ext(X2,X3,X4,X5),alpha,gamma),ext(X2,X3,X4,X5),X0,X1),X3)
| ~ le(X0,X1,ext(X2,X3,X4,X5),X2) ),
inference(superposition,[status(thm)],[c_231,c_481340]) ).
tcf(c_544677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(ext(X0,X1,X2,X3),X1,X1),
inference(superposition,[status(thm)],[c_480073,c_481340]) ).
tcf(c_544678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X0,X1,X2,X3),X1,ins(X5,X6,ext(X0,X1,X2,X3),X4))
| s_t(ext(X0,X1,X2,X3),X0,ins(X5,X6,ext(X0,X1,X2,X3),X4))
| s_t(ext(X0,X1,X2,X3),ins(X5,X6,ext(X0,X1,X2,X3),X4),X1)
| ( ext(X0,X1,X2,X3) = X4 )
| ~ s_t(ext(X0,X1,X2,X3),X4,X0)
| ~ le(ext(X0,X1,X2,X3),X4,X5,X6) ),
inference(superposition,[status(thm)],[c_480739,c_481340]) ).
tcf(c_544679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X1,X2,X3,X4),X2,ins(X5,X6,X0,ext(X1,X2,X3,X4)))
| s_t(ext(X1,X2,X3,X4),X1,ins(X5,X6,X0,ext(X1,X2,X3,X4)))
| s_t(ext(X1,X2,X3,X4),ins(X5,X6,X0,ext(X1,X2,X3,X4)),X2)
| ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X0,ext(X1,X2,X3,X4),X1)
| ~ le(X0,ext(X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480738,c_481340]) ).
tcf(c_544680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ext(X0,X1,X2,X3),X1,ip(X5,ext(X0,X1,X2,X3),X6,X4,X7))
| s_t(ext(X0,X1,X2,X3),X0,ip(X5,ext(X0,X1,X2,X3),X6,X4,X7))
| s_t(ext(X0,X1,X2,X3),ip(X5,ext(X0,X1,X2,X3),X6,X4,X7),X1)
| ~ s_t(X4,X7,X6)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_480702,c_481340]) ).
tcf(c_544681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ext(X0,X1,X2,X3),X1,ip(X5,ext(X0,X1,X2,X3),X6,X4,X7))
| s_t(ext(X0,X1,X2,X3),ip(X5,ext(X0,X1,X2,X3),X6,X4,X7),X1)
| ~ s_t(X4,X7,X6)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_480205,c_481340]) ).
tcf(c_544682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X0,X1,X2,X3),X1,ip(X6,X0,X5,ext(X0,X1,X2,X3),X4))
| s_t(ext(X0,X1,X2,X3),ip(X6,X0,X5,ext(X0,X1,X2,X3),X4),X1)
| ~ s_t(X6,X0,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480074,c_481340]) ).
tcf(c_544683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ext(X0,X1,X2,X3),X1,ip(X4,X7,X6,X5,ext(X0,X1,X2,X3)))
| s_t(ext(X0,X1,X2,X3),X0,ip(X4,X7,X6,X5,ext(X0,X1,X2,X3)))
| s_t(ext(X0,X1,X2,X3),ip(X4,X7,X6,X5,ext(X0,X1,X2,X3)),X1)
| ~ s_t(X4,X7,X6)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_480703,c_481340]) ).
tcf(c_544684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ext(X0,X1,X2,X3),X1,ip(X4,X7,X6,X5,ext(X0,X1,X2,X3)))
| s_t(ext(X0,X1,X2,X3),ip(X4,X7,X6,X5,ext(X0,X1,X2,X3)),X1)
| ~ s_t(X4,X7,X6)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_480206,c_481340]) ).
tcf(c_544685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X0,X1,X2,X3),X1,ip(ext(X0,X1,X2,X3),X4,X5,X6,X0))
| s_t(ext(X0,X1,X2,X3),ip(ext(X0,X1,X2,X3),X4,X5,X6,X0),X1)
| ~ s_t(X6,X0,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_480075,c_481340]) ).
tcf(c_544686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X0,X1,X2,X3),X1,ext(ext(X0,X1,X2,X3),X4,X5,X6))
| s_t(ext(X0,X1,X2,X3),X0,ext(ext(X0,X1,X2,X3),X4,X5,X6))
| s_t(ext(X0,X1,X2,X3),ext(ext(X0,X1,X2,X3),X4,X5,X6),X1)
| ( ext(X0,X1,X2,X3) = X4 )
| ~ s_t(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_480599,c_481340]) ).
tcf(c_544687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X1,c63(ext(X0,X1,X2,X3),X4,X5))
| s_t(ext(X0,X1,X2,X3),X0,c63(ext(X0,X1,X2,X3),X4,X5))
| s_t(ext(X0,X1,X2,X3),c63(ext(X0,X1,X2,X3),X4,X5),X1)
| ( ext(X0,X1,X2,X3) = X4 )
| ~ sameside(ext(X0,X1,X2,X3),X4,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_481087,c_481340]) ).
tcf(c_544688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X1,c63(X5,X4,ext(X0,X1,X2,X3)))
| s_t(ext(X0,X1,X2,X3),X0,c63(X5,X4,ext(X0,X1,X2,X3)))
| s_t(ext(X0,X1,X2,X3),c63(X5,X4,ext(X0,X1,X2,X3)),X1)
| ( ext(X0,X1,X2,X3) = X4 )
| ~ sameside(X5,X4,ext(X0,X1,X2,X3))
| ~ s_t(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_481148,c_481340]) ).
tcf(c_544689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X1,X2,X3,X4),X2,ext(X0,ext(X1,X2,X3,X4),X5,X6))
| s_t(ext(X1,X2,X3,X4),X1,ext(X0,ext(X1,X2,X3,X4),X5,X6))
| s_t(ext(X1,X2,X3,X4),ext(X0,ext(X1,X2,X3,X4),X5,X6),X2)
| ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_480646,c_481340]) ).
tcf(c_544690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X1,X2,X3,X4),X2,c63(X0,ext(X1,X2,X3,X4),X5))
| s_t(ext(X1,X2,X3,X4),X1,c63(X0,ext(X1,X2,X3,X4),X5))
| s_t(ext(X1,X2,X3,X4),c63(X0,ext(X1,X2,X3,X4),X5),X2)
| ( ext(X1,X2,X3,X4) = X0 )
| ~ sameside(X0,ext(X1,X2,X3,X4),X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_481086,c_481340]) ).
tcf(c_544691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X1,X2,X3,X4),X2,c63(X5,ext(X1,X2,X3,X4),X0))
| s_t(ext(X1,X2,X3,X4),X1,c63(X5,ext(X1,X2,X3,X4),X0))
| s_t(ext(X1,X2,X3,X4),c63(X5,ext(X1,X2,X3,X4),X0),X2)
| ( ext(X1,X2,X3,X4) = X0 )
| ~ sameside(X5,ext(X1,X2,X3,X4),X0)
| ~ s_t(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_481147,c_481340]) ).
tcf(c_544692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(ins(X2,X3,X0,X1),X4,X5,X6),X4,X1)
| s_t(ext(ins(X2,X3,X0,X1),X4,X5,X6),X1,X4)
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ( ext(ins(X2,X3,X0,X1),X4,X5,X6) = X1 )
| ~ le(X0,X1,X2,X3)
| ~ sameside(X0,X1,ext(ins(X2,X3,X0,X1),X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481026,c_481340]) ).
tcf(c_544693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(c63(X2,X1,X0),X3,X4,X5),X3,X1)
| s_t(ext(c63(X2,X1,X0),X3,X4,X5),X1,X3)
| ( X0 = X1 )
| ( ext(c63(X2,X1,X0),X3,X4,X5) = X1 )
| ~ sameside(X2,X1,X0)
| ~ sameside(X0,X1,ext(c63(X2,X1,X0),X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_534516,c_481340]) ).
tcf(c_544694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(c63(X0,X1,X2),X3,X4,X5),X3,X1)
| s_t(ext(c63(X0,X1,X2),X3,X4,X5),X1,X3)
| ( X0 = X1 )
| ( ext(c63(X0,X1,X2),X3,X4,X5) = X1 )
| ~ sameside(X0,X1,X2)
| ~ sameside(X0,X1,ext(c63(X0,X1,X2),X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_528230,c_481340]) ).
tcf(c_544695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X0,X2,X3,X4),X2,ext(ext(X0,ext(X0,X2,X3,X4),alpha,gamma),ext(X0,X2,X3,X4),X0,X1))
| s_t(ext(X0,X2,X3,X4),ext(ext(X0,ext(X0,X2,X3,X4),alpha,gamma),ext(X0,X2,X3,X4),X0,X1),X2)
| ~ s_t(X0,X1,ext(X0,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480406,c_481340]) ).
tcf(c_544696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X0,X1,X2,X3),X1,ext(ext(X0,ext(X0,X1,X2,X3),alpha,gamma),ext(X0,X1,X2,X3),ext(X0,X1,X2,X3),X4))
| s_t(ext(X0,X1,X2,X3),ext(ext(X0,ext(X0,X1,X2,X3),alpha,gamma),ext(X0,X1,X2,X3),ext(X0,X1,X2,X3),X4),X1)
| ~ s_t(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_480408,c_481340]) ).
tcf(c_544697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(ext(X0,X1,X2,X3),X1,crossbar(X5,X7,X4,X6,X8,ext(X0,X1,X2,X3)))
| s_t(ext(X0,X1,X2,X3),X0,crossbar(X5,X7,X4,X6,X8,ext(X0,X1,X2,X3)))
| s_t(ext(X0,X1,X2,X3),crossbar(X5,X7,X4,X6,X8,ext(X0,X1,X2,X3)),X1)
| ~ s_t(X6,X8,X4)
| ~ s_t(X5,X7,X4)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_480706,c_481340]) ).
tcf(c_544698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(ext(X0,X1,X2,X3),X1,crossbar(X5,X7,X4,X6,X8,ext(X0,X1,X2,X3)))
| s_t(ext(X0,X1,X2,X3),crossbar(X5,X7,X4,X6,X8,ext(X0,X1,X2,X3)),X1)
| ~ s_t(X6,X8,X4)
| ~ s_t(X5,X7,X4)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_480256,c_481340]) ).
tcf(c_544699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ext(X2,X3,X4,X5),X3,crossbar(X0,X1,ext(X2,X3,X4,X5),X6,X7,X2))
| s_t(ext(X2,X3,X4,X5),crossbar(X0,X1,ext(X2,X3,X4,X5),X6,X7,X2),X3)
| ~ s_t(X0,X2,X6)
| ~ s_t(X6,X7,ext(X2,X3,X4,X5))
| ~ s_t(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_480262,c_481340]) ).
tcf(c_544700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(ext(X0,X1,X2,X3),X1,crossbar(X5,ext(X0,X1,X2,X3),X6,X8,X4,X7))
| s_t(ext(X0,X1,X2,X3),crossbar(X5,ext(X0,X1,X2,X3),X6,X8,X4,X7),X1)
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_480318,c_481340]) ).
tcf(c_544701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(ext(X0,X1,X2,X3),X1,crossbar(X5,ext(X0,X1,X2,X3),X6,X8,X4,X7))
| s_t(ext(X0,X1,X2,X3),X0,crossbar(X5,ext(X0,X1,X2,X3),X6,X8,X4,X7))
| s_t(ext(X0,X1,X2,X3),crossbar(X5,ext(X0,X1,X2,X3),X6,X8,X4,X7),X1)
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_480707,c_481340]) ).
tcf(c_544702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ext(X1,X2,X3,X4),X2,crossbar(X6,X1,X5,X0,ext(X1,X2,X3,X4),X7))
| s_t(ext(X1,X2,X3,X4),crossbar(X6,X1,X5,X0,ext(X1,X2,X3,X4),X7),X2)
| ~ s_t(X6,X7,X0)
| ~ s_t(X6,X1,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_480324,c_481340]) ).
tcf(c_544703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(ext(X0,X1,X2,X3),X4,X5,X6),X4,X1)
| s_t(ext(ext(X0,X1,X2,X3),X4,X5,X6),X1,X4)
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( ext(ext(X0,X1,X2,X3),X4,X5,X6) = X1 )
| ~ sameside(X0,X1,ext(ext(X0,X1,X2,X3),X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481019,c_481340]) ).
tcf(c_544704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(X0,s(X1,X0),X2,X3),X1,s(X1,X0))
| s_t(ext(X0,s(X1,X0),X2,X3),s(X1,X0),X1) ),
inference(superposition,[status(thm)],[c_523173,c_481340]) ).
tcf(c_544705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(X2,X0,X3,X3),X1,X0)
| s_t(ext(X2,X0,X3,X3),X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480032,c_481340]) ).
tcf(c_544992,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X0,ext(ext(X0,X1,X2,X3),X1,X4,X5))
| s_t(X1,ext(ext(X0,X1,X2,X3),X1,X4,X5),X0)
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_52,c_481341]) ).
tcf(c_544993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X1,X0)
| s_t(X1,X0,X1)
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_72,c_481341]) ).
tcf(c_544994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X0,ins(X4,X5,ext(X0,X1,X2,X3),X1))
| s_t(X1,ins(X4,X5,ext(X0,X1,X2,X3),X1),X0)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ le(ext(X0,X1,X2,X3),X1,X4,X5) ),
inference(superposition,[status(thm)],[c_110,c_481341]) ).
tcf(c_544995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,c63(ext(X0,X1,X2,X3),X1,X4))
| s_t(X1,c63(ext(X0,X1,X2,X3),X1,X4),X0)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ sameside(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_129,c_481341]) ).
tcf(c_544996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,c63(X0,X1,ext(X2,X1,X3,X4)))
| s_t(X1,c63(X0,X1,ext(X2,X1,X3,X4)),X2)
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_130,c_481341]) ).
tcf(c_544997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X2,insert5(X0,X1,X6,ext(X2,X3,X4,X5),X3))
| s_t(X3,insert5(X0,X1,X6,ext(X2,X3,X4,X5),X3),X2)
| ( ext(X2,X3,X4,X5) = X3 )
| ~ s_t(X0,X1,X6)
| ~ s_e(X0,X1,ext(X2,X3,X4,X5),X3) ),
inference(superposition,[status(thm)],[c_505149,c_481341]) ).
tcf(c_544998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,X0)
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_480073,c_481341]) ).
tcf(c_544999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,s(X1,ext(X0,X1,X2,X3)))
| s_t(X1,s(X1,ext(X0,X1,X2,X3)),X0)
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_485940,c_481341]) ).
tcf(c_545000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X1,ins(X5,X6,X0,ext(X1,X2,X3,X4)))
| s_t(X2,ins(X5,X6,X0,ext(X1,X2,X3,X4)),X1)
| s_t(ext(X1,X2,X3,X4),ins(X5,X6,X0,ext(X1,X2,X3,X4)),X2)
| ( ext(X1,X2,X3,X4) = X2 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X0,ext(X1,X2,X3,X4),X2)
| ~ le(X0,ext(X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480738,c_481341]) ).
tcf(c_545001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X0,ins(X5,X6,ext(X0,X1,X2,X3),X4))
| s_t(X1,ins(X5,X6,ext(X0,X1,X2,X3),X4),X0)
| s_t(ext(X0,X1,X2,X3),ins(X5,X6,ext(X0,X1,X2,X3),X4),X1)
| ( ext(X0,X1,X2,X3) = X4 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(ext(X0,X1,X2,X3),X4,X1)
| ~ le(ext(X0,X1,X2,X3),X4,X5,X6) ),
inference(superposition,[status(thm)],[c_480739,c_481341]) ).
tcf(c_545002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X0,ip(X5,ext(X0,X1,X2,X3),X6,X4,X7))
| s_t(X1,ip(X5,ext(X0,X1,X2,X3),X6,X4,X7),X0)
| s_t(ext(X0,X1,X2,X3),ip(X5,ext(X0,X1,X2,X3),X6,X4,X7),X1)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X4,X7,X6)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_480702,c_481341]) ).
tcf(c_545003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X0,ip(X4,X7,X6,X5,ext(X0,X1,X2,X3)))
| s_t(X1,ip(X4,X7,X6,X5,ext(X0,X1,X2,X3)),X0)
| s_t(ext(X0,X1,X2,X3),ip(X4,X7,X6,X5,ext(X0,X1,X2,X3)),X1)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X4,X7,X6)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_480703,c_481341]) ).
tcf(c_545004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X0,ext(ext(X0,X1,X2,X3),X4,X5,X6))
| s_t(X1,ext(ext(X0,X1,X2,X3),X4,X5,X6),X0)
| s_t(ext(X0,X1,X2,X3),ext(ext(X0,X1,X2,X3),X4,X5,X6),X1)
| ( ext(X0,X1,X2,X3) = X4 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_480599,c_481341]) ).
tcf(c_545005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X0,c63(ext(X0,X1,X2,X3),X4,X5))
| s_t(X1,c63(ext(X0,X1,X2,X3),X4,X5),X0)
| s_t(ext(X0,X1,X2,X3),c63(ext(X0,X1,X2,X3),X4,X5),X1)
| ( ext(X0,X1,X2,X3) = X4 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ sameside(ext(X0,X1,X2,X3),X4,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_481087,c_481341]) ).
tcf(c_545006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X0,c63(X5,X4,ext(X0,X1,X2,X3)))
| s_t(X1,c63(X5,X4,ext(X0,X1,X2,X3)),X0)
| s_t(ext(X0,X1,X2,X3),c63(X5,X4,ext(X0,X1,X2,X3)),X1)
| ( ext(X0,X1,X2,X3) = X4 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ sameside(X5,X4,ext(X0,X1,X2,X3))
| ~ s_t(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_481148,c_481341]) ).
tcf(c_545007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X1,ext(X0,ext(X1,X2,X3,X4),X5,X6))
| s_t(X2,ext(X0,ext(X1,X2,X3,X4),X5,X6),X1)
| s_t(ext(X1,X2,X3,X4),ext(X0,ext(X1,X2,X3,X4),X5,X6),X2)
| ( ext(X1,X2,X3,X4) = X2 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X0,ext(X1,X2,X3,X4),X2) ),
inference(superposition,[status(thm)],[c_480646,c_481341]) ).
tcf(c_545008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,c63(X0,ext(X1,X2,X3,X4),X5))
| s_t(X2,c63(X0,ext(X1,X2,X3,X4),X5),X1)
| s_t(ext(X1,X2,X3,X4),c63(X0,ext(X1,X2,X3,X4),X5),X2)
| ( ext(X1,X2,X3,X4) = X2 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ sameside(X0,ext(X1,X2,X3,X4),X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X2) ),
inference(superposition,[status(thm)],[c_481086,c_481341]) ).
tcf(c_545009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,c63(X5,ext(X1,X2,X3,X4),X0))
| s_t(X2,c63(X5,ext(X1,X2,X3,X4),X0),X1)
| s_t(ext(X1,X2,X3,X4),c63(X5,ext(X1,X2,X3,X4),X0),X2)
| ( ext(X1,X2,X3,X4) = X2 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ sameside(X5,ext(X1,X2,X3,X4),X0)
| ~ s_t(X0,ext(X1,X2,X3,X4),X2) ),
inference(superposition,[status(thm)],[c_481147,c_481341]) ).
tcf(c_545010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X2,ins(X5,X6,X0,X1))
| s_t(X1,ins(X5,X6,X0,X1),X2)
| ( X0 = X1 )
| ( ins(X5,X6,X0,X1) = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ le(X0,X1,X5,X6)
| ~ sameside(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481026,c_481341]) ).
tcf(c_545011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,c63(X5,X1,X0))
| s_t(X1,c63(X5,X1,X0),X2)
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X5,X1,X0)
| ~ sameside(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_534516,c_481341]) ).
tcf(c_545012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X2,c63(X0,X1,X5))
| s_t(X1,c63(X0,X1,X5),X2)
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X5)
| ~ sameside(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_528230,c_481341]) ).
tcf(c_545013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,X0,crossbar(X5,X7,X4,X6,X8,ext(X0,X1,X2,X3)))
| s_t(X1,crossbar(X5,X7,X4,X6,X8,ext(X0,X1,X2,X3)),X0)
| s_t(ext(X0,X1,X2,X3),crossbar(X5,X7,X4,X6,X8,ext(X0,X1,X2,X3)),X1)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X6,X8,X4)
| ~ s_t(X5,X7,X4)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_480706,c_481341]) ).
tcf(c_545014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,X0,crossbar(X5,ext(X0,X1,X2,X3),X6,X8,X4,X7))
| s_t(X1,crossbar(X5,ext(X0,X1,X2,X3),X6,X8,X4,X7),X0)
| s_t(ext(X0,X1,X2,X3),crossbar(X5,ext(X0,X1,X2,X3),X6,X8,X4,X7),X1)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_480707,c_481341]) ).
tcf(c_545015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X2,ext(X0,X1,X5,X6))
| s_t(X1,ext(X0,X1,X5,X6),X2)
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ( ext(X0,X1,X5,X6) = X1 )
| ~ sameside(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481019,c_481341]) ).
tcf(c_545016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X0,ext(ext(X0,X1,X2,X3),s(X1,ext(X0,X1,X2,X3)),X4,X5))
| s_t(X1,ext(ext(X0,X1,X2,X3),s(X1,ext(X0,X1,X2,X3)),X4,X5),X0)
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_517544,c_481341]) ).
tcf(c_545017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,s(s(X1,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3)))
| s_t(X1,s(s(X1,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3)),X0)
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_517551,c_481341]) ).
tcf(c_545018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,s(s(s(X1,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3)))
| s_t(X1,s(s(s(X1,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3)),X0)
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_517650,c_481341]) ).
tcf(c_545019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X0,s(ext(ext(X0,X1,X2,X3),X1,X4,X5),ext(X0,X1,X2,X3)))
| s_t(X1,s(ext(ext(X0,X1,X2,X3),X1,X4,X5),ext(X0,X1,X2,X3)),X0)
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_495727,c_481341]) ).
tcf(c_545020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X2,X1)
| s_t(X0,X1,X2)
| ( ext(X2,X0,X3,X3) = X0 )
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_480032,c_481341]) ).
tcf(c_545231,plain,
! [X0: $i,X1: $i] : s_col(X0,s(X0,X1),s(s(X1,s(X0,X1)),s(X0,X1))),
inference(superposition,[status(thm)],[c_161,c_543639]) ).
tcf(c_545234,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = X1 )
| ~ s_r(X0,X1,s(s(s(X0,X1),X1),X1)) ),
inference(superposition,[status(thm)],[c_543639,c_187]) ).
tcf(c_545235,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(s(s(s(X1,X0),X0),X0),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_543639,c_181]) ).
tcf(c_545236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(s(s(X2,X3),X3),X3) = X4 )
| ~ s_col(X2,X3,X5)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,s(s(s(X2,X3),X3),X3)) ),
inference(superposition,[status(thm)],[c_543639,c_152]) ).
tcf(c_545237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(s(s(X0,X1),X1),X1),X2,X3)
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_543639,c_151]) ).
tcf(c_545238,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(s(X0,X1),X1),X1),X2)
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_543639,c_148]) ).
tcf(c_545239,plain,
! [X0: $i,X1: $i] :
( sameside(X0,X1,s(s(s(X0,X1),X1),X1))
| s_t(X0,X1,s(s(s(X0,X1),X1),X1)) ),
inference(superposition,[status(thm)],[c_543639,c_134]) ).
tcf(c_545245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,X1,X2,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = X2 )
| ~ s_col(X4,X5,X3)
| ~ s_col(X4,X5,X2)
| ~ s_col(X0,X1,X2)
| ~ s_r(s(s(s(X0,X1),X1),X1),X2,X3) ),
inference(superposition,[status(thm)],[c_543639,c_200]) ).
tcf(c_545291,plain,
! [X0: $i,X1: $i] : s_col(s(s(X0,s(X1,X0)),s(X1,X0)),X1,s(X1,X0)),
inference(superposition,[status(thm)],[c_161,c_543640]) ).
tcf(c_545294,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_r(s(s(s(X0,X1),X1),X1),X0,X1) ),
inference(superposition,[status(thm)],[c_543640,c_187]) ).
tcf(c_545295,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,s(s(s(X0,X1),X1),X1),X2)
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_r(X0,s(s(s(X0,X1),X1),X1),X2) ),
inference(superposition,[status(thm)],[c_543640,c_181]) ).
tcf(c_545296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X1 = X2 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X1)
| ~ s_col(s(s(s(X0,X1),X1),X1),X0,X3)
| ~ s_col(s(s(s(X0,X1),X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_543640,c_152]) ).
tcf(c_545297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| ( X1 = X2 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(s(s(s(X0,X1),X1),X1),X0,X3)
| ~ s_col(s(s(s(X0,X1),X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_543640,c_151]) ).
tcf(c_545298,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(s(X0,X1),X1),X1),X1,X2)
| ( s(s(s(X0,X1),X1),X1) = X1 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(s(s(s(X0,X1),X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_543640,c_148]) ).
tcf(c_545305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(s(s(s(X0,X1),X1),X1),X0,X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X1 = X2 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_r(X1,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(s(s(s(X0,X1),X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_543640,c_200]) ).
tcf(c_545369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X0,ext(ext(X0,X1,X2,X3),X1,X4,X5))
| s_t(ext(X0,X1,X2,X3),ext(ext(X0,X1,X2,X3),X1,X4,X5),X0)
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_52,c_481342]) ).
tcf(c_545371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X0,ins(X4,X5,ext(X0,X1,X2,X3),X1))
| s_t(ext(X0,X1,X2,X3),ins(X4,X5,ext(X0,X1,X2,X3),X1),X0)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ le(ext(X0,X1,X2,X3),X1,X4,X5) ),
inference(superposition,[status(thm)],[c_110,c_481342]) ).
tcf(c_545372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X0,X1,X2,X3),X0,c63(ext(X0,X1,X2,X3),X1,X4))
| s_t(ext(X0,X1,X2,X3),c63(ext(X0,X1,X2,X3),X1,X4),X0)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ sameside(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_129,c_481342]) ).
tcf(c_545373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X2,X1,X3,X4),X2,c63(X0,X1,ext(X2,X1,X3,X4)))
| s_t(ext(X2,X1,X3,X4),c63(X0,X1,ext(X2,X1,X3,X4)),X2)
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_130,c_481342]) ).
tcf(c_545374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X2,X3,X4,X5),X2,insert5(X0,X1,X6,ext(X2,X3,X4,X5),X3))
| s_t(ext(X2,X3,X4,X5),insert5(X0,X1,X6,ext(X2,X3,X4,X5),X3),X2)
| ( ext(X2,X3,X4,X5) = X3 )
| ~ s_t(X0,X1,X6)
| ~ s_e(X0,X1,ext(X2,X3,X4,X5),X3) ),
inference(superposition,[status(thm)],[c_505149,c_481342]) ).
tcf(c_545375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(X0,X1,X2,X3),X0,X0)
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_480073,c_481342]) ).
tcf(c_545376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(X0,X1,X2,X3),X0,s(X1,ext(X0,X1,X2,X3)))
| s_t(ext(X0,X1,X2,X3),s(X1,ext(X0,X1,X2,X3)),X0)
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_485940,c_481342]) ).
tcf(c_545377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X1,X2,X3,X4),X1,ins(X5,X6,X0,ext(X1,X2,X3,X4)))
| s_t(ext(X1,X2,X3,X4),ins(X5,X6,X0,ext(X1,X2,X3,X4)),X2)
| s_t(ext(X1,X2,X3,X4),ins(X5,X6,X0,ext(X1,X2,X3,X4)),X1)
| ( ext(X1,X2,X3,X4) = X2 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X0,ext(X1,X2,X3,X4),X2)
| ~ le(X0,ext(X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480738,c_481342]) ).
tcf(c_545378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X0,X1,X2,X3),X0,ins(X5,X6,ext(X0,X1,X2,X3),X4))
| s_t(ext(X0,X1,X2,X3),ins(X5,X6,ext(X0,X1,X2,X3),X4),X1)
| s_t(ext(X0,X1,X2,X3),ins(X5,X6,ext(X0,X1,X2,X3),X4),X0)
| ( ext(X0,X1,X2,X3) = X4 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(ext(X0,X1,X2,X3),X4,X1)
| ~ le(ext(X0,X1,X2,X3),X4,X5,X6) ),
inference(superposition,[status(thm)],[c_480739,c_481342]) ).
tcf(c_545379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ext(X0,X1,X2,X3),X0,ip(X5,ext(X0,X1,X2,X3),X6,X4,X7))
| s_t(ext(X0,X1,X2,X3),ip(X5,ext(X0,X1,X2,X3),X6,X4,X7),X1)
| s_t(ext(X0,X1,X2,X3),ip(X5,ext(X0,X1,X2,X3),X6,X4,X7),X0)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X4,X7,X6)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_480702,c_481342]) ).
tcf(c_545380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ext(X0,X1,X2,X3),X0,ip(X4,X7,X6,X5,ext(X0,X1,X2,X3)))
| s_t(ext(X0,X1,X2,X3),ip(X4,X7,X6,X5,ext(X0,X1,X2,X3)),X1)
| s_t(ext(X0,X1,X2,X3),ip(X4,X7,X6,X5,ext(X0,X1,X2,X3)),X0)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X4,X7,X6)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_480703,c_481342]) ).
tcf(c_545381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X0,X1,X2,X3),X0,ext(ext(X0,X1,X2,X3),X4,X5,X6))
| s_t(ext(X0,X1,X2,X3),ext(ext(X0,X1,X2,X3),X4,X5,X6),X1)
| s_t(ext(X0,X1,X2,X3),ext(ext(X0,X1,X2,X3),X4,X5,X6),X0)
| ( ext(X0,X1,X2,X3) = X4 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_480599,c_481342]) ).
tcf(c_545382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X0,c63(ext(X0,X1,X2,X3),X4,X5))
| s_t(ext(X0,X1,X2,X3),c63(ext(X0,X1,X2,X3),X4,X5),X1)
| s_t(ext(X0,X1,X2,X3),c63(ext(X0,X1,X2,X3),X4,X5),X0)
| ( ext(X0,X1,X2,X3) = X4 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ sameside(ext(X0,X1,X2,X3),X4,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_481087,c_481342]) ).
tcf(c_545383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X0,c63(X5,X4,ext(X0,X1,X2,X3)))
| s_t(ext(X0,X1,X2,X3),c63(X5,X4,ext(X0,X1,X2,X3)),X1)
| s_t(ext(X0,X1,X2,X3),c63(X5,X4,ext(X0,X1,X2,X3)),X0)
| ( ext(X0,X1,X2,X3) = X4 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ sameside(X5,X4,ext(X0,X1,X2,X3))
| ~ s_t(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_481148,c_481342]) ).
tcf(c_545384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X1,X2,X3,X4),X1,ext(X0,ext(X1,X2,X3,X4),X5,X6))
| s_t(ext(X1,X2,X3,X4),ext(X0,ext(X1,X2,X3,X4),X5,X6),X2)
| s_t(ext(X1,X2,X3,X4),ext(X0,ext(X1,X2,X3,X4),X5,X6),X1)
| ( ext(X1,X2,X3,X4) = X2 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X0,ext(X1,X2,X3,X4),X2) ),
inference(superposition,[status(thm)],[c_480646,c_481342]) ).
tcf(c_545385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X1,X2,X3,X4),X1,c63(X0,ext(X1,X2,X3,X4),X5))
| s_t(ext(X1,X2,X3,X4),c63(X0,ext(X1,X2,X3,X4),X5),X2)
| s_t(ext(X1,X2,X3,X4),c63(X0,ext(X1,X2,X3,X4),X5),X1)
| ( ext(X1,X2,X3,X4) = X2 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ sameside(X0,ext(X1,X2,X3,X4),X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X2) ),
inference(superposition,[status(thm)],[c_481086,c_481342]) ).
tcf(c_545386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X1,X2,X3,X4),X1,c63(X5,ext(X1,X2,X3,X4),X0))
| s_t(ext(X1,X2,X3,X4),c63(X5,ext(X1,X2,X3,X4),X0),X2)
| s_t(ext(X1,X2,X3,X4),c63(X5,ext(X1,X2,X3,X4),X0),X1)
| ( ext(X1,X2,X3,X4) = X2 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ sameside(X5,ext(X1,X2,X3,X4),X0)
| ~ s_t(X0,ext(X1,X2,X3,X4),X2) ),
inference(superposition,[status(thm)],[c_481147,c_481342]) ).
tcf(c_545387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X2,X1,X3,X4),X2,ins(X5,X6,X0,X1))
| s_t(ext(X2,X1,X3,X4),ins(X5,X6,X0,X1),X2)
| ( X0 = X1 )
| ( ins(X5,X6,X0,X1) = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ le(X0,X1,X5,X6)
| ~ sameside(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481026,c_481342]) ).
tcf(c_545388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X2,X1,X3,X4),X2,c63(X5,X1,X0))
| s_t(ext(X2,X1,X3,X4),c63(X5,X1,X0),X2)
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X5,X1,X0)
| ~ sameside(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_534516,c_481342]) ).
tcf(c_545389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X2,X1,X3,X4),X2,c63(X0,X1,X5))
| s_t(ext(X2,X1,X3,X4),c63(X0,X1,X5),X2)
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X5)
| ~ sameside(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_528230,c_481342]) ).
tcf(c_545390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(ext(X0,X1,X2,X3),X0,crossbar(X5,X7,X4,X6,X8,ext(X0,X1,X2,X3)))
| s_t(ext(X0,X1,X2,X3),crossbar(X5,X7,X4,X6,X8,ext(X0,X1,X2,X3)),X1)
| s_t(ext(X0,X1,X2,X3),crossbar(X5,X7,X4,X6,X8,ext(X0,X1,X2,X3)),X0)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X6,X8,X4)
| ~ s_t(X5,X7,X4)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_480706,c_481342]) ).
tcf(c_545391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(ext(X0,X1,X2,X3),X0,crossbar(X5,ext(X0,X1,X2,X3),X6,X8,X4,X7))
| s_t(ext(X0,X1,X2,X3),crossbar(X5,ext(X0,X1,X2,X3),X6,X8,X4,X7),X1)
| s_t(ext(X0,X1,X2,X3),crossbar(X5,ext(X0,X1,X2,X3),X6,X8,X4,X7),X0)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_480707,c_481342]) ).
tcf(c_545392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X2,X1,X3,X4),X2,ext(X0,X1,X5,X6))
| s_t(ext(X2,X1,X3,X4),ext(X0,X1,X5,X6),X2)
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ( ext(X0,X1,X5,X6) = X1 )
| ~ sameside(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481019,c_481342]) ).
tcf(c_545393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X0,ext(ext(X0,X1,X2,X3),s(X1,ext(X0,X1,X2,X3)),X4,X5))
| s_t(ext(X0,X1,X2,X3),ext(ext(X0,X1,X2,X3),s(X1,ext(X0,X1,X2,X3)),X4,X5),X0)
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_517544,c_481342]) ).
tcf(c_545394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(X0,X1,X2,X3),X0,s(s(X1,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3)))
| s_t(ext(X0,X1,X2,X3),s(s(X1,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3)),X0)
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_517551,c_481342]) ).
tcf(c_545395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(X0,X1,X2,X3),X0,s(s(s(X1,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3)))
| s_t(ext(X0,X1,X2,X3),s(s(s(X1,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3)),X0)
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_517650,c_481342]) ).
tcf(c_545396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X0,s(ext(ext(X0,X1,X2,X3),X1,X4,X5),ext(X0,X1,X2,X3)))
| s_t(ext(X0,X1,X2,X3),s(ext(ext(X0,X1,X2,X3),X1,X4,X5),ext(X0,X1,X2,X3)),X0)
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_495727,c_481342]) ).
tcf(c_545397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(X2,X0,X3,X3),X2,X1)
| s_t(ext(X2,X0,X3,X3),X1,X2)
| ( ext(X2,X0,X3,X3) = X0 )
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_480032,c_481342]) ).
tcf(c_545624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X0,X1,ext(X1,X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_481343,c_55]) ).
tcf(c_545625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X0 = X1 )
| ( crossbar(ext(X0,X1,X2,X3),X1,X6,X5,X1,X4) = X1 )
| ~ s_t(X5,X1,X6)
| ~ s_t(X1,X0,X6)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481343,c_480316]) ).
tcf(c_545626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X0 = X1 )
| ( crossbar(ext(X0,X1,X2,X3),X1,X4,X5,X6,X4) = X4 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X1,X0,X4)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481343,c_480254]) ).
tcf(c_545627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X3,X4) = X0 )
| ( ext(ext(X1,X0,X3,X4),X0,X0,X2) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481343,c_480013]) ).
tcf(c_545628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X3,X4) = X0 )
| ( ext(ext(X1,X0,X3,X4),X0,X2,X0) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481343,c_480011]) ).
tcf(c_545629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X2 )
| ( ip(ext(X1,X2,X3,X4),X2,X5,X0,ext(X1,X2,X3,X4)) = ext(X1,X2,X3,X4) )
| ~ s_t(X2,X1,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_481343,c_479924]) ).
tcf(c_545630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X1 )
| ( ip(ext(X1,X0,X4,X5),X0,X2,X0,X3) = X0 )
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481343,c_479914]) ).
tcf(c_545631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,ext(X1,X0,X3,X4),X0)
| ( X0 = X1 )
| ( ext(X1,X0,X3,X4) = X2 )
| ( ext(X1,X0,X3,X4) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481343,c_238]) ).
tcf(c_545632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,ext(X1,X0,X3,X4),X2)
| ( X0 = X1 )
| ( ext(X1,X0,X3,X4) = xb )
| ( ext(X1,X0,X3,X4) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481343,c_237]) ).
tcf(c_545633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X2,ext(X1,X0,X3,X4))
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481343,c_225]) ).
tcf(c_545634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X2,ext(X1,X0,X3,X4),X0)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481343,c_224]) ).
tcf(c_545635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X1,X0,X3,X4),X0,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481343,c_223]) ).
tcf(c_545636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X4 )
| ( X0 = X1 )
| ~ s_r(X5,X4,X1)
| ~ s_t(X1,X0,X5)
| ~ s_r(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_481343,c_184]) ).
tcf(c_545637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ext(X1,X0,X4,X5),X2)
| s_t(ext(X1,X0,X4,X5),X3,X2)
| ( X0 = X2 )
| ( X0 = X1 )
| ~ s_t(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481343,c_147]) ).
tcf(c_545638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X3,X0,ext(X1,X0,X4,X5))
| ( X0 = X2 )
| ( X0 = X1 )
| ( ext(X1,X0,X4,X5) = X0 )
| ~ sameside(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481343,c_145]) ).
tcf(c_545639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,X1,X5)
| sameside(X0,X1,ext(X2,X1,X3,X4))
| ( X1 = X5 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ s_t(X1,X2,X5)
| ~ s_col(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481343,c_143]) ).
tcf(c_545640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ~ s_t(X1,X0,X4)
| ~ sameside(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481343,c_133]) ).
tcf(c_545641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ext(X1,X0,X4,X5),X0,X3)
| ( X0 = X3 )
| ( X0 = X2 )
| ( X0 = X1 )
| ( ext(X1,X0,X4,X5) = X0 )
| ~ s_t(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481343,c_131]) ).
tcf(c_545642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X1,X5)
| ( X1 = X5 )
| ( X1 = X4 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X1,X0,X5)
| ~ sameside(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481343,c_125]) ).
tcf(c_545643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X4,X1)
| s_t(ext(X0,X1,X2,X3),X1,X4)
| ( X0 = X1 )
| ~ s_t(X1,X0,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481343,c_109]) ).
tcf(c_545644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,X4)
| s_t(X1,X4,X5)
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X1,X0,X5)
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481343,c_108]) ).
tcf(c_545645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X5,X4)
| s_t(ext(X0,X1,X2,X3),X4,X5)
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X1,X0,X5)
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481343,c_107]) ).
tcf(c_545646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X1,X0,X4,X5),X0,X3)
| ( X0 = X2 )
| ( X0 = X1 )
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481343,c_81]) ).
tcf(c_545647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X1,X5)
| ( X0 = X1 )
| ~ s_t(X1,X0,X4)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481343,c_80]) ).
tcf(c_545648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X1,X0,X4,X5),X3,X2)
| ( X0 = X1 )
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481343,c_79]) ).
tcf(c_545649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X1,X0,X4,X5),X2,X3)
| ( X0 = X2 )
| ( X0 = X1 )
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481343,c_78]) ).
tcf(c_545650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X4,X5)
| ( X0 = X1 )
| ~ s_t(X1,X0,X4)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481343,c_77]) ).
tcf(c_545651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X1,X0,X4,X5),X0,X3)
| ( X0 = X1 )
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481343,c_76]) ).
tcf(c_545652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X0,X1,X4)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481343,c_75]) ).
tcf(c_545653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,ext(X1,X0,X3,X4))
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481343,c_73]) ).
tcf(c_545654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X0,X1,ext(X0,ext(X1,X0,X2,X3),X4,X5)) ),
inference(superposition,[status(thm)],[c_481343,c_480090]) ).
tcf(c_545655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ sameside(X0,ext(X1,X0,X2,X3),X4)
| ~ s_t(X0,X1,c63(X0,ext(X1,X0,X2,X3),X4)) ),
inference(superposition,[status(thm)],[c_481343,c_481094]) ).
tcf(c_545656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X3,X4) = X0 )
| ~ sameside(X2,ext(X1,X0,X3,X4),X0)
| ~ s_t(X0,X1,c63(X2,ext(X1,X0,X3,X4),X0)) ),
inference(superposition,[status(thm)],[c_481343,c_481155]) ).
tcf(c_545657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(ext(X1,X0,X3,X4),X0,X5,X6)
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X2,ext(X1,X0,X3,X4),X5,X6)) ),
inference(superposition,[status(thm)],[c_481343,c_480890]) ).
tcf(c_545658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,ext(ext(X6,X5,alpha,gamma),X5,ext(X1,X0,X3,X4),X0),X6)
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X2,ext(X1,X0,X3,X4),X5,X6)) ),
inference(superposition,[status(thm)],[c_481343,c_480407]) ).
tcf(c_545659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X0,ext(X2,ext(X1,X0,X3,X4),X5,X6))
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X2,ext(X1,X0,X3,X4),X5,X6)) ),
inference(superposition,[status(thm)],[c_481343,c_480181]) ).
tcf(c_545660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(X1,X0,X3,X4),X0)
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X2,ext(X1,X0,X3,X4),X5,X6)) ),
inference(superposition,[status(thm)],[c_481343,c_480111]) ).
tcf(c_545661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ext(X1,X0,X3,X4),X0)
| ( X0 = X1 )
| ~ sameside(X2,ext(X1,X0,X3,X4),X5)
| ~ s_t(X0,X1,c63(X2,ext(X1,X0,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_481343,c_481154]) ).
tcf(c_545662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,c63(X2,ext(X1,X0,X3,X4),X5))
| ( X0 = X1 )
| ~ sameside(X2,ext(X1,X0,X3,X4),X5)
| ~ s_t(X0,X1,c63(X2,ext(X1,X0,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_481343,c_481151]) ).
tcf(c_545663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ext(X1,X0,X3,X4),X0)
| ( X0 = X1 )
| ~ sameside(X2,ext(X1,X0,X3,X4),X5)
| ~ s_t(X0,X1,c63(X2,ext(X1,X0,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_481343,c_481093]) ).
tcf(c_545664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X0,c63(X2,ext(X1,X0,X3,X4),X5))
| ( X0 = X1 )
| ~ sameside(X2,ext(X1,X0,X3,X4),X5)
| ~ s_t(X0,X1,c63(X2,ext(X1,X0,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_481343,c_481090]) ).
tcf(c_545665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X1,X0,X3,X4),X2,X1)
| s_t(ext(X1,X0,X3,X4),X1,X2)
| ( X0 = X1 )
| ( ext(X1,X0,X3,X4) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481343,c_481342]) ).
tcf(c_545667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ext(X1,X0,X5,X6),X0)
| ( X0 = X1 )
| ~ le(X4,ext(X1,X0,X5,X6),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,ext(X1,X0,X5,X6))) ),
inference(superposition,[status(thm)],[c_481343,c_480745]) ).
tcf(c_545668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X0,ins(X2,X3,X4,ext(X1,X0,X5,X6)))
| ( X0 = X1 )
| ~ le(X4,ext(X1,X0,X5,X6),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,ext(X1,X0,X5,X6))) ),
inference(superposition,[status(thm)],[c_481343,c_480742]) ).
tcf(c_545669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X4,X5) = X0 )
| ~ le(X0,ext(X1,X0,X4,X5),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,ext(X1,X0,X4,X5))) ),
inference(superposition,[status(thm)],[c_481343,c_480746]) ).
tcf(c_545670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( ext(X2,ext(X1,X0,X3,X4),ext(X1,X0,X3,X4),X0) = X0 )
| ~ s_t(X0,X1,ext(X2,ext(X1,X0,X3,X4),ext(X1,X0,X3,X4),X0)) ),
inference(superposition,[status(thm)],[c_481343,c_480982]) ).
tcf(c_545671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( ins(ext(X1,X0,X2,X3),X0,ext(X1,X0,X2,X3),X4) = X0 )
| ~ le(ext(X1,X0,X2,X3),X4,ext(X1,X0,X2,X3),X0)
| ~ s_t(X0,X1,ins(ext(X1,X0,X2,X3),X0,ext(X1,X0,X2,X3),X4)) ),
inference(superposition,[status(thm)],[c_481343,c_480985]) ).
tcf(c_545672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(ext(X1,X0,X4,X5),X0,X2,X3)
| ( X0 = X1 )
| ~ le(ext(X1,X0,X4,X5),X6,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ext(X1,X0,X4,X5),X6)) ),
inference(superposition,[status(thm)],[c_481343,c_480893]) ).
tcf(c_545673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,ext(X1,X0,X4,X5),X0),X3)
| ( X0 = X1 )
| ~ le(ext(X1,X0,X4,X5),X6,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ext(X1,X0,X4,X5),X6)) ),
inference(superposition,[status(thm)],[c_481343,c_480791]) ).
tcf(c_545674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X1,X0,X4,X5),X6,X0)
| s_t(ext(X1,X0,X4,X5),X0,X6)
| ( X0 = X1 )
| ~ le(ext(X1,X0,X4,X5),X6,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ext(X1,X0,X4,X5),X6)) ),
inference(superposition,[status(thm)],[c_481343,c_480737]) ).
tcf(c_545675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X1,X0,X2,X3),X4,X0)
| s_t(ext(X1,X0,X2,X3),X0,X4)
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(ext(X1,X0,X2,X3),X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481343,c_480701]) ).
tcf(c_545676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X1,X0,X2,X3),X4,X0)
| s_t(ext(X1,X0,X2,X3),X0,X4)
| ( X0 = X1 )
| ~ sameside(ext(X1,X0,X2,X3),X4,X5)
| ~ s_t(X0,X1,c63(ext(X1,X0,X2,X3),X4,X5)) ),
inference(superposition,[status(thm)],[c_481343,c_481085]) ).
tcf(c_545677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X1,X0,X4,X5),X3,X0)
| s_t(ext(X1,X0,X4,X5),X0,X3)
| ( X0 = X1 )
| ~ sameside(X2,X3,ext(X1,X0,X4,X5))
| ~ s_t(X0,X1,c63(X2,X3,ext(X1,X0,X4,X5))) ),
inference(superposition,[status(thm)],[c_481343,c_481146]) ).
tcf(c_545678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(X1,X0,X2,X3),X0,X0)
| ( X0 = X1 )
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481343,c_481340]) ).
tcf(c_545679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X2,X0,ext(X1,X0,X5,X6))
| ( X0 = X2 )
| ( X0 = X1 )
| ( ext(X2,X0,X3,X4) = X0 )
| ( ext(X1,X0,X5,X6) = X0 )
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481343,c_481222]) ).
tcf(c_545680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X5,X6) = X0 )
| ( ext(ext(X1,X0,X5,X6),X0,X3,X4) = ext(X2,X0,X3,X4) )
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481343,c_480012]) ).
tcf(c_545681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X4),ext(X5,ip(X0,X1,X2,X3,X4),X6,X7))
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( ext(X5,ip(X0,X1,X2,X3,X4),X6,X7) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_481343,c_481223]) ).
tcf(c_545682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),ext(X5,ip(X0,X1,X2,X3,X4),X6,X7))
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( ext(X5,ip(X0,X1,X2,X3,X4),X6,X7) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_481343,c_481224]) ).
tcf(c_545683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X4,X0,ext(X1,X0,X5,X6))
| ( X0 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X4,X0) = X0 )
| ( ext(X1,X0,X5,X6) = X0 )
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_481343,c_481229]) ).
tcf(c_545684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,X0,ext(X1,X0,X4,X5))
| ( X0 = X3 )
| ( X0 = X1 )
| ( ext(X1,X0,X4,X5) = X0 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481343,c_543337]) ).
tcf(c_545685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X2,X0,ext(X1,X0,X4,X5))
| ( X0 = X2 )
| ( X0 = X1 )
| ( ext(X1,X0,X4,X5) = X0 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481343,c_542847]) ).
tcf(c_545686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X5,X6) = X0 )
| ( ext(ext(X1,X0,X5,X6),X0,X2,X3) = ins(X2,X3,X0,X4) )
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_481343,c_480795]) ).
tcf(c_545687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X5,crossbar(X0,X1,X2,X3,X4,X5),ext(X6,crossbar(X0,X1,X2,X3,X4,X5),X7,X8))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X5 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ( ext(X6,crossbar(X0,X1,X2,X3,X4,X5),X7,X8) = crossbar(X0,X1,X2,X3,X4,X5) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_481343,c_481227]) ).
tcf(c_545688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X1,crossbar(X0,X1,X2,X3,X4,X5),ext(X6,crossbar(X0,X1,X2,X3,X4,X5),X7,X8))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X1 )
| ( ext(X6,crossbar(X0,X1,X2,X3,X4,X5),X7,X8) = crossbar(X0,X1,X2,X3,X4,X5) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_481343,c_481228]) ).
tcf(c_546123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_t(ext(X0,X1,X2,X3),X1,ext(ext(X0,X1,X2,X3),X0,X4,X5)),
inference(superposition,[status(thm)],[c_52,c_481344]) ).
tcf(c_546125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X1,ins(X4,X5,ext(X0,X1,X2,X3),X0))
| ~ le(ext(X0,X1,X2,X3),X0,X4,X5) ),
inference(superposition,[status(thm)],[c_110,c_481344]) ).
tcf(c_546126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X0,X1,X2,X3),X1,c63(ext(X0,X1,X2,X3),X0,X4))
| ~ sameside(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_129,c_481344]) ).
tcf(c_546127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X1,X2,X3,X4),X2,c63(X0,X1,ext(X1,X2,X3,X4)))
| ~ sameside(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_130,c_481344]) ).
tcf(c_546128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X2,X3,X4,X5),X3,insert5(X0,X1,X6,ext(X2,X3,X4,X5),X2))
| ~ s_t(X0,X1,X6)
| ~ s_e(X0,X1,ext(X2,X3,X4,X5),X2) ),
inference(superposition,[status(thm)],[c_505149,c_481344]) ).
tcf(c_546130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(ext(X0,X1,X2,X3),X1,s(X0,ext(X0,X1,X2,X3))),
inference(superposition,[status(thm)],[c_485940,c_481344]) ).
tcf(c_546131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X1,X2,X3,X4),X2,ins(X5,X6,X0,ext(X1,X2,X3,X4)))
| s_t(ext(X1,X2,X3,X4),ins(X5,X6,X0,ext(X1,X2,X3,X4)),X1)
| ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X0,ext(X1,X2,X3,X4),X1)
| ~ le(X0,ext(X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480738,c_481344]) ).
tcf(c_546132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X0,X1,X2,X3),X1,ins(X5,X6,ext(X0,X1,X2,X3),X4))
| s_t(ext(X0,X1,X2,X3),ins(X5,X6,ext(X0,X1,X2,X3),X4),X0)
| ( ext(X0,X1,X2,X3) = X4 )
| ~ s_t(ext(X0,X1,X2,X3),X4,X0)
| ~ le(ext(X0,X1,X2,X3),X4,X5,X6) ),
inference(superposition,[status(thm)],[c_480739,c_481344]) ).
tcf(c_546134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ext(X0,X1,X2,X3),X1,ip(X5,ext(X0,X1,X2,X3),X6,X4,X7))
| s_t(ext(X0,X1,X2,X3),ip(X5,ext(X0,X1,X2,X3),X6,X4,X7),X0)
| ~ s_t(X4,X7,X6)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_480702,c_481344]) ).
tcf(c_546135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ext(X0,X1,X2,X3),X1,ip(X4,X7,X6,X5,ext(X0,X1,X2,X3)))
| s_t(ext(X0,X1,X2,X3),ip(X4,X7,X6,X5,ext(X0,X1,X2,X3)),X0)
| ~ s_t(X4,X7,X6)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_480703,c_481344]) ).
tcf(c_546136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X0,X1,X2,X3),X1,ext(ext(X0,X1,X2,X3),X4,X5,X6))
| s_t(ext(X0,X1,X2,X3),ext(ext(X0,X1,X2,X3),X4,X5,X6),X0)
| ( ext(X0,X1,X2,X3) = X4 )
| ~ s_t(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_480599,c_481344]) ).
tcf(c_546137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X1,c63(ext(X0,X1,X2,X3),X4,X5))
| s_t(ext(X0,X1,X2,X3),c63(ext(X0,X1,X2,X3),X4,X5),X0)
| ( ext(X0,X1,X2,X3) = X4 )
| ~ sameside(ext(X0,X1,X2,X3),X4,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_481087,c_481344]) ).
tcf(c_546138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X1,c63(X5,X4,ext(X0,X1,X2,X3)))
| s_t(ext(X0,X1,X2,X3),c63(X5,X4,ext(X0,X1,X2,X3)),X0)
| ( ext(X0,X1,X2,X3) = X4 )
| ~ sameside(X5,X4,ext(X0,X1,X2,X3))
| ~ s_t(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_481148,c_481344]) ).
tcf(c_546139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X1,X2,X3,X4),X2,ext(X0,ext(X1,X2,X3,X4),X5,X6))
| s_t(ext(X1,X2,X3,X4),ext(X0,ext(X1,X2,X3,X4),X5,X6),X1)
| ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_480646,c_481344]) ).
tcf(c_546140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X1,X2,X3,X4),X2,c63(X0,ext(X1,X2,X3,X4),X5))
| s_t(ext(X1,X2,X3,X4),c63(X0,ext(X1,X2,X3,X4),X5),X1)
| ( ext(X1,X2,X3,X4) = X0 )
| ~ sameside(X0,ext(X1,X2,X3,X4),X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_481086,c_481344]) ).
tcf(c_546141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X1,X2,X3,X4),X2,c63(X5,ext(X1,X2,X3,X4),X0))
| s_t(ext(X1,X2,X3,X4),c63(X5,ext(X1,X2,X3,X4),X0),X1)
| ( ext(X1,X2,X3,X4) = X0 )
| ~ sameside(X5,ext(X1,X2,X3,X4),X0)
| ~ s_t(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_481147,c_481344]) ).
tcf(c_546142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X1,X2,X3,X4),X2,ins(X5,X6,X0,X1))
| ( X0 = X1 )
| ( ins(X5,X6,X0,X1) = X1 )
| ( ext(X1,X2,X3,X4) = X1 )
| ~ le(X0,X1,X5,X6)
| ~ sameside(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481026,c_481344]) ).
tcf(c_546143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X1,X2,X3,X4),X2,c63(X5,X1,X0))
| ( X0 = X1 )
| ( ext(X1,X2,X3,X4) = X1 )
| ~ sameside(X5,X1,X0)
| ~ sameside(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_534516,c_481344]) ).
tcf(c_546144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X1,X2,X3,X4),X2,c63(X0,X1,X5))
| ( X0 = X1 )
| ( ext(X1,X2,X3,X4) = X1 )
| ~ sameside(X0,X1,X5)
| ~ sameside(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_528230,c_481344]) ).
tcf(c_546145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(ext(X0,X1,X2,X3),X1,crossbar(X5,X7,X4,X6,X8,ext(X0,X1,X2,X3)))
| s_t(ext(X0,X1,X2,X3),crossbar(X5,X7,X4,X6,X8,ext(X0,X1,X2,X3)),X0)
| ~ s_t(X6,X8,X4)
| ~ s_t(X5,X7,X4)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_480706,c_481344]) ).
tcf(c_546146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(ext(X0,X1,X2,X3),X1,crossbar(X5,ext(X0,X1,X2,X3),X6,X8,X4,X7))
| s_t(ext(X0,X1,X2,X3),crossbar(X5,ext(X0,X1,X2,X3),X6,X8,X4,X7),X0)
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_480707,c_481344]) ).
tcf(c_546147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X1,X2,X3,X4),X2,ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ( ext(X1,X2,X3,X4) = X1 )
| ( ext(X0,X1,X5,X6) = X1 )
| ~ sameside(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481019,c_481344]) ).
tcf(c_546148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_t(ext(X0,X1,X2,X3),X1,ext(ext(X0,X1,X2,X3),s(X0,ext(X0,X1,X2,X3)),X4,X5)),
inference(superposition,[status(thm)],[c_517544,c_481344]) ).
tcf(c_546149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(ext(X0,X1,X2,X3),X1,s(s(X0,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3))),
inference(superposition,[status(thm)],[c_517551,c_481344]) ).
tcf(c_546150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(ext(X0,X1,X2,X3),X1,s(s(s(X0,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3))),
inference(superposition,[status(thm)],[c_517650,c_481344]) ).
tcf(c_546151,plain,
! [X0: $i,X1: $i,X2: $i] : s_t(ext(X0,s(X0,X0),X1,X2),s(X0,X0),X0),
inference(superposition,[status(thm)],[c_523173,c_481344]) ).
tcf(c_546152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_t(ext(X0,X1,X2,X3),X1,s(ext(ext(X0,X1,X2,X3),X0,X4,X5),ext(X0,X1,X2,X3))),
inference(superposition,[status(thm)],[c_495727,c_481344]) ).
tcf(c_546153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(X1,X0,X3,X3),X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480032,c_481344]) ).
tcf(c_546374,plain,
! [X0: $i,X1: $i] : s_col(s(X0,X1),s(s(X1,s(X0,X1)),s(X0,X1)),X0),
inference(superposition,[status(thm)],[c_161,c_543641]) ).
tcf(c_546377,plain,
! [X0: $i,X1: $i] :
( ( s(s(s(X1,X0),X0),X0) = X1 )
| ( s(s(s(X1,X0),X0),X0) = X0 )
| ~ s_r(X0,s(s(s(X1,X0),X0),X0),X1) ),
inference(superposition,[status(thm)],[c_543641,c_187]) ).
tcf(c_546378,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X0,X1,X2)
| ( s(s(s(X0,X1),X1),X1) = X1 )
| ~ s_r(s(s(s(X0,X1),X1),X1),X1,X2) ),
inference(superposition,[status(thm)],[c_543641,c_181]) ).
tcf(c_546379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X1 = X2 )
| ( s(s(s(X1,X0),X0),X0) = X0 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X1)
| ~ s_col(X0,s(s(s(X1,X0),X0),X0),X3)
| ~ s_col(X0,s(s(s(X1,X0),X0),X0),X2) ),
inference(superposition,[status(thm)],[c_543641,c_152]) ).
tcf(c_546380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| ( X1 = X2 )
| ( s(s(s(X1,X0),X0),X0) = X0 )
| ~ s_col(X0,s(s(s(X1,X0),X0),X0),X3)
| ~ s_col(X0,s(s(s(X1,X0),X0),X0),X2) ),
inference(superposition,[status(thm)],[c_543641,c_151]) ).
tcf(c_546381,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ( s(s(s(X1,X0),X0),X0) = X0 )
| ~ s_col(X0,s(s(s(X1,X0),X0),X0),X2) ),
inference(superposition,[status(thm)],[c_543641,c_148]) ).
tcf(c_546382,plain,
! [X0: $i,X1: $i] :
( sameside(X0,s(s(s(X1,X0),X0),X0),X1)
| s_t(X0,s(s(s(X1,X0),X0),X0),X1) ),
inference(superposition,[status(thm)],[c_543641,c_134]) ).
tcf(c_546388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,s(s(s(X1,X0),X0),X0),X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X1 = X2 )
| ( s(s(s(X1,X0),X0),X0) = X0 )
| ~ s_r(X1,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,s(s(s(X1,X0),X0),X0),X2) ),
inference(superposition,[status(thm)],[c_543641,c_200]) ).
tcf(c_546431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,ip(X4,X0,X3,s(X0,X1),X2))
| ~ s_t(X4,X0,X3)
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_56,c_485964]) ).
tcf(c_546432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,ip(s(X0,X1),X2,X3,X4,X0))
| ~ s_t(X4,X0,X3)
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_57,c_485964]) ).
tcf(c_546435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,crossbar(X0,X1,s(X2,X3),X4,X5,X2))
| ~ s_t(X0,X2,X4)
| ~ s_t(X4,X5,s(X2,X3))
| ~ s_t(X0,X1,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_87,c_485964]) ).
tcf(c_546436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,crossbar(X4,X1,X3,X0,s(X1,X2),X5))
| ~ s_t(X4,X5,X0)
| ~ s_t(X4,X1,X3)
| ~ s_t(X0,s(X1,X2),X3) ),
inference(superposition,[status(thm)],[c_88,c_485964]) ).
tcf(c_546437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X2,ext(ext(s(X2,X3),X2,alpha,gamma),X2,X0,X1))
| ~ le(X0,X1,X2,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_231,c_485964]) ).
tcf(c_546439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,ins(X3,X4,X0,X1))
| s_t(X0,s(X0,X2),ins(X3,X4,X0,X1))
| ( X0 = X1 )
| ~ le(X0,X1,X3,X4)
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_480739,c_485964]) ).
tcf(c_546440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ins(X3,X4,X0,X1))
| s_t(X1,s(X1,X2),ins(X3,X4,X0,X1))
| ( X0 = X1 )
| ~ le(X0,X1,X3,X4)
| ~ s_t(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_480738,c_485964]) ).
tcf(c_546441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ext(X1,X0,X2,X3),X0)
| ( X0 = X1 )
| ~ s_t(X0,X1,s(ext(X1,X0,X2,X3),X4)) ),
inference(superposition,[status(thm)],[c_481343,c_485964]) ).
tcf(c_546442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X0,ip(X3,X0,X4,X2,X5))
| s_t(X0,s(X0,X1),ip(X3,X0,X4,X2,X5))
| ~ s_t(X3,X0,X4)
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_480702,c_485964]) ).
tcf(c_546443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X0,ip(X3,X0,X4,X1,X5))
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X5,X4)
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_480205,c_485964]) ).
tcf(c_546444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ip(X2,X0,X3,X1,X4),X1)
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X4,X3)
| ~ s_t(X0,X1,s(ip(X2,X0,X3,X1,X4),X5)) ),
inference(superposition,[status(thm)],[c_480135,c_485964]) ).
tcf(c_546445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ip(X0,s(X1,X2),X3,X1,X4))
| ~ s_t(X1,X4,X3)
| ~ s_t(X0,s(X1,X2),X3) ),
inference(superposition,[status(thm)],[c_480074,c_485964]) ).
tcf(c_546446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X0,ip(X2,X3,X4,X5,X0))
| s_t(X0,s(X0,X1),ip(X2,X3,X4,X5,X0))
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_480703,c_485964]) ).
tcf(c_546447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X0,ip(X1,X3,X4,X5,X0))
| ~ s_t(X5,X0,X4)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_480206,c_485964]) ).
tcf(c_546448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ip(X1,X2,X3,X4,X0),X1)
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,s(ip(X1,X2,X3,X4,X0),X5)) ),
inference(superposition,[status(thm)],[c_480136,c_485964]) ).
tcf(c_546449,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ip(X1,X4,X3,X0,s(X1,X2)))
| ~ s_t(X1,X4,X3)
| ~ s_t(X0,s(X1,X2),X3) ),
inference(superposition,[status(thm)],[c_480075,c_485964]) ).
tcf(c_546450,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,ext(X0,X1,X3,X4))
| s_t(X0,s(X0,X2),ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_480599,c_485964]) ).
tcf(c_546451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X0,c63(X0,X1,X3))
| s_t(X0,s(X0,X2),c63(X0,X1,X3))
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_481087,c_485964]) ).
tcf(c_546452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X0,c63(X3,X1,X0))
| s_t(X0,s(X0,X2),c63(X3,X1,X0))
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_481148,c_485964]) ).
tcf(c_546453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ext(X0,X1,X3,X4))
| s_t(X1,s(X1,X2),ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ~ s_t(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_480646,c_485964]) ).
tcf(c_546454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X1,c63(X0,X1,X3))
| s_t(X1,s(X1,X2),c63(X0,X1,X3))
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_481086,c_485964]) ).
tcf(c_546455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X1,c63(X3,X1,X0))
| s_t(X1,s(X1,X2),c63(X3,X1,X0))
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_481147,c_485964]) ).
tcf(c_546456,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X0,ext(ext(s(X0,X1),X0,alpha,gamma),X0,s(X0,X1),X2))
| ~ s_t(s(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_480406,c_485964]) ).
tcf(c_546457,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,ext(ext(s(X0,X2),X0,alpha,gamma),X0,X0,X1))
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_480408,c_485964]) ).
tcf(c_546458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X0,crossbar(X3,X4,X2,X5,X6,X0))
| s_t(X0,s(X0,X1),crossbar(X3,X4,X2,X5,X6,X0))
| ~ s_t(X5,X6,X2)
| ~ s_t(X3,X4,X2)
| ~ s_t(X3,X0,X5)
| ~ s_t(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_480706,c_485964]) ).
tcf(c_546459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X0,crossbar(X3,X4,X1,X5,X6,X0))
| ~ s_t(X5,X6,X1)
| ~ s_t(X3,X4,X1)
| ~ s_t(X3,X0,X5)
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_480256,c_485964]) ).
tcf(c_546460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,crossbar(X2,X3,X1,X4,X5,X0),X1)
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,X1,s(crossbar(X2,X3,X1,X4,X5,X0),X6)) ),
inference(superposition,[status(thm)],[c_480259,c_485964]) ).
tcf(c_546461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,crossbar(X0,X4,X1,X3,X5,s(X1,X2)))
| ~ s_t(X3,X5,X1)
| ~ s_t(X0,X4,X1)
| ~ s_t(X0,s(X1,X2),X3) ),
inference(superposition,[status(thm)],[c_480262,c_485964]) ).
tcf(c_546462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X0,crossbar(X3,X0,X4,X6,X1,X5))
| ~ s_t(X6,X1,X4)
| ~ s_t(X3,X5,X6)
| ~ s_t(X3,X0,X4)
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_480318,c_485964]) ).
tcf(c_546463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,crossbar(X2,X0,X3,X4,X1,X5),X1)
| ~ s_t(X4,X1,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,s(crossbar(X2,X0,X3,X4,X1,X5),X6)) ),
inference(superposition,[status(thm)],[c_480321,c_485964]) ).
tcf(c_546464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X0,crossbar(X3,X0,X4,X6,X2,X5))
| s_t(X0,s(X0,X1),crossbar(X3,X0,X4,X6,X2,X5))
| ~ s_t(X6,X2,X4)
| ~ s_t(X3,X5,X6)
| ~ s_t(X3,X0,X4)
| ~ s_t(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_480707,c_485964]) ).
tcf(c_546465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,crossbar(X0,s(X1,X2),X3,X5,X1,X4))
| ~ s_t(X5,X1,X3)
| ~ s_t(X0,X4,X5)
| ~ s_t(X0,s(X1,X2),X3) ),
inference(superposition,[status(thm)],[c_480324,c_485964]) ).
tcf(c_546701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(ext(X0,X1,X2,X3),X6,X0,X5,X6,X4) = X6 )
| ~ s_t(X5,X6,X0)
| ~ s_t(X1,X6,X0)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481345,c_480316]) ).
tcf(c_546702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(ext(X0,X1,X2,X3),X5,X0,X4,X6,X0) = X0 )
| ~ s_t(X4,X6,X0)
| ~ s_t(X1,X5,X0)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_481345,c_480254]) ).
tcf(c_546703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ext(X2,X0,X3,X4) = X1 )
| ( ext(ext(X2,X0,X3,X4),X1,X1,X2) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481345,c_480013]) ).
tcf(c_546704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ext(X2,X0,X3,X4) = X1 )
| ( ext(ext(X2,X0,X3,X4),X1,X2,X1) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481345,c_480011]) ).
tcf(c_546705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(ext(X1,X2,X3,X4),X5,X1,X0,ext(X1,X2,X3,X4)) = ext(X1,X2,X3,X4) )
| ~ s_t(X2,X5,X1)
| ~ s_t(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_481345,c_479924]) ).
tcf(c_546706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(ext(X2,X0,X4,X5),X1,X2,X1,X3) = X1 )
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481345,c_479914]) ).
tcf(c_546707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,ext(X2,X0,X3,X4),X1)
| ( ext(X2,X0,X3,X4) = X2 )
| ( ext(X2,X0,X3,X4) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481345,c_238]) ).
tcf(c_546708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X1,ext(X2,X0,X3,X4),X2)
| ( ext(X2,X0,X3,X4) = xb )
| ( ext(X2,X0,X3,X4) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481345,c_237]) ).
tcf(c_546709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X2,ext(X2,X0,X3,X4))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481345,c_225]) ).
tcf(c_546710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X2,ext(X2,X0,X3,X4),X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481345,c_224]) ).
tcf(c_546711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X2,X0,X3,X4),X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481345,c_223]) ).
tcf(c_546712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X4 = X5 )
| ~ s_r(X0,X4,X5)
| ~ s_t(X1,X5,X0)
| ~ s_r(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481345,c_184]) ).
tcf(c_546713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ext(X2,X0,X4,X5),X2)
| s_t(ext(X2,X0,X4,X5),X3,X2)
| ( X1 = X2 )
| ~ s_t(X3,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481345,c_147]) ).
tcf(c_546714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X3,X1,ext(X2,X0,X4,X5))
| ( X1 = X2 )
| ( ext(X2,X0,X4,X5) = X1 )
| ~ sameside(X3,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481345,c_145]) ).
tcf(c_546715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,ext(X2,X3,X4,X5))
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X3,X4,X5) = X1 )
| ~ s_t(X3,X1,X2)
| ~ s_col(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_481345,c_143]) ).
tcf(c_546716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ s_t(X1,X4,X0)
| ~ sameside(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_481345,c_133]) ).
tcf(c_546717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ext(X2,X0,X4,X5),X1,X3)
| ( X1 = X3 )
| ( X1 = X2 )
| ( ext(X2,X0,X4,X5) = X1 )
| ~ s_t(X3,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481345,c_131]) ).
tcf(c_546718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X4,X0)
| ( X4 = X5 )
| ( X0 = X4 )
| ( ext(X0,X1,X2,X3) = X4 )
| ~ s_t(X1,X4,X0)
| ~ sameside(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481345,c_125]) ).
tcf(c_546719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X5,X4)
| s_t(ext(X0,X1,X2,X3),X4,X5)
| ~ s_t(X1,X5,X0)
| ~ s_t(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_481345,c_109]) ).
tcf(c_546720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X5,X0)
| s_t(X4,X0,X5)
| ( ext(X0,X1,X2,X3) = X4 )
| ~ s_t(X1,X4,X0)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481345,c_108]) ).
tcf(c_546721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X5,X0)
| s_t(ext(X0,X1,X2,X3),X0,X5)
| ( ext(X0,X1,X2,X3) = X4 )
| ~ s_t(X1,X4,X0)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481345,c_107]) ).
tcf(c_546722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X2,X0,X4,X5),X1,X3)
| ( X1 = X2 )
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481345,c_81]) ).
tcf(c_546723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X5,X4)
| ~ s_t(X1,X5,X0)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_481345,c_80]) ).
tcf(c_546724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X2,X0,X4,X5),X3,X2)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481345,c_79]) ).
tcf(c_546725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X2,X0,X4,X5),X2,X3)
| ( X1 = X2 )
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481345,c_78]) ).
tcf(c_546726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,X4)
| ~ s_t(X1,X5,X0)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_481345,c_77]) ).
tcf(c_546727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X2,X0,X4,X5),X1,X3)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481345,c_76]) ).
tcf(c_546728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X2,X0,X1)
| ~ s_t(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_481345,c_75]) ).
tcf(c_546729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ext(X2,X0,X3,X4))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481345,c_73]) ).
tcf(c_546730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X1,X0,X2,X3),X4,X1)
| ~ s_t(X0,ext(ext(X1,X0,X2,X3),X4,X5,X6),X1) ),
inference(superposition,[status(thm)],[c_481345,c_480204]) ).
tcf(c_546731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ext(ext(X1,X0,X2,X3),X4,X5,X6),X1)
| ~ s_t(X0,ext(ext(X1,X0,X2,X3),X4,X5,X6),X1) ),
inference(superposition,[status(thm)],[c_481345,c_480134]) ).
tcf(c_546732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,c63(ext(X1,X0,X2,X3),X4,X5),X1)
| ~ sameside(ext(X1,X0,X2,X3),X4,X5)
| ~ s_t(X0,c63(ext(X1,X0,X2,X3),X4,X5),X1) ),
inference(superposition,[status(thm)],[c_481345,c_481092]) ).
tcf(c_546733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X1,X0,X2,X3),X4,X1)
| ~ sameside(ext(X1,X0,X2,X3),X4,X5)
| ~ s_t(X0,c63(ext(X1,X0,X2,X3),X4,X5),X1) ),
inference(superposition,[status(thm)],[c_481345,c_481089]) ).
tcf(c_546734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,c63(X1,X2,ext(X3,X0,X4,X5)),X3)
| ~ sameside(X1,X2,ext(X3,X0,X4,X5))
| ~ s_t(X0,c63(X1,X2,ext(X3,X0,X4,X5)),X3) ),
inference(superposition,[status(thm)],[c_481345,c_481153]) ).
tcf(c_546735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X3,X0,X4,X5),X2,X3)
| ~ sameside(X1,X2,ext(X3,X0,X4,X5))
| ~ s_t(X0,c63(X1,X2,ext(X3,X0,X4,X5)),X3) ),
inference(superposition,[status(thm)],[c_481345,c_481150]) ).
tcf(c_546736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(X1,X0,X2,X3),X0,X1)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481345,c_481344]) ).
tcf(c_546737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X2,X0,X3,X4),X1,X2)
| ~ s_t(X0,s(X1,ext(X2,X0,X3,X4)),X2) ),
inference(superposition,[status(thm)],[c_481345,c_485960]) ).
tcf(c_546738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(X1,X0,X2,X3),X1,X1)
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_481345,c_481342]) ).
tcf(c_546740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,ins(X1,X2,ext(X3,X0,X4,X5),X6),X3)
| ~ le(ext(X3,X0,X4,X5),X6,X1,X2)
| ~ s_t(X0,ins(X1,X2,ext(X3,X0,X4,X5),X6),X3) ),
inference(superposition,[status(thm)],[c_481345,c_480744]) ).
tcf(c_546741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X3,X0,X4,X5),X6,X3)
| ~ le(ext(X3,X0,X4,X5),X6,X1,X2)
| ~ s_t(X0,ins(X1,X2,ext(X3,X0,X4,X5),X6),X3) ),
inference(superposition,[status(thm)],[c_481345,c_480741]) ).
tcf(c_546742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ext(X2,X0,X3,X4),X2)
| ( ext(X1,ext(X2,X0,X3,X4),X5,X6) = ext(X2,X0,X3,X4) )
| ~ s_t(X0,ext(X1,ext(X2,X0,X3,X4),X5,X6),X2) ),
inference(superposition,[status(thm)],[c_481345,c_480227]) ).
tcf(c_546743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ext(X1,ext(X2,X0,X3,X4),X5,X6),X2)
| ( ext(X1,ext(X2,X0,X3,X4),X5,X6) = ext(X2,X0,X3,X4) )
| ~ s_t(X0,ext(X1,ext(X2,X0,X3,X4),X5,X6),X2) ),
inference(superposition,[status(thm)],[c_481345,c_480157]) ).
tcf(c_546744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ins(X1,X2,X3,ext(X4,X0,X5,X6)),X4)
| ( ins(X1,X2,X3,ext(X4,X0,X5,X6)) = ext(X4,X0,X5,X6) )
| ~ le(X3,ext(X4,X0,X5,X6),X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,ext(X4,X0,X5,X6)),X4) ),
inference(superposition,[status(thm)],[c_481345,c_480743]) ).
tcf(c_546745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ext(X4,X0,X5,X6),X4)
| ( ins(X1,X2,X3,ext(X4,X0,X5,X6)) = ext(X4,X0,X5,X6) )
| ~ le(X3,ext(X4,X0,X5,X6),X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,ext(X4,X0,X5,X6)),X4) ),
inference(superposition,[status(thm)],[c_481345,c_480740]) ).
tcf(c_546746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,c63(X1,ext(X2,X0,X3,X4),X5),X2)
| ~ sameside(X1,ext(X2,X0,X3,X4),X5)
| ~ s_t(X0,c63(X1,ext(X2,X0,X3,X4),X5),X2) ),
inference(superposition,[status(thm)],[c_481345,c_539198]) ).
tcf(c_546747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ext(X2,X0,X3,X4),X2)
| ~ sameside(X1,ext(X2,X0,X3,X4),X5)
| ~ s_t(X0,c63(X1,ext(X2,X0,X3,X4),X5),X2) ),
inference(superposition,[status(thm)],[c_481345,c_538289]) ).
tcf(c_546748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,c63(X1,ext(X2,X0,X3,X4),X5),X2)
| ~ sameside(X1,ext(X2,X0,X3,X4),X5)
| ~ s_t(X0,c63(X1,ext(X2,X0,X3,X4),X5),X2) ),
inference(superposition,[status(thm)],[c_481345,c_532776]) ).
tcf(c_546749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ext(X2,X0,X3,X4),X2)
| ~ sameside(X1,ext(X2,X0,X3,X4),X5)
| ~ s_t(X0,c63(X1,ext(X2,X0,X3,X4),X5),X2) ),
inference(superposition,[status(thm)],[c_481345,c_531999]) ).
tcf(c_546751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ip(X1,ext(X2,X0,X3,X4),X5,X6,X7),X6,X2)
| s_t(ip(X1,ext(X2,X0,X3,X4),X5,X6,X7),X2,X6)
| ( ip(X1,ext(X2,X0,X3,X4),X5,X6,X7) = ext(X2,X0,X3,X4) )
| ~ s_t(X6,X7,X5)
| ~ s_t(X1,ext(X2,X0,X3,X4),X5)
| ~ s_t(X0,ip(X1,ext(X2,X0,X3,X4),X5,X6,X7),X2) ),
inference(superposition,[status(thm)],[c_481345,c_480647]) ).
tcf(c_546752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ext(X2,X0,X3,X4),X6,X2)
| s_t(ext(X2,X0,X3,X4),X2,X6)
| ( ip(X1,ext(X2,X0,X3,X4),X5,X6,X7) = ext(X2,X0,X3,X4) )
| ~ s_t(X6,X7,X5)
| ~ s_t(X1,ext(X2,X0,X3,X4),X5)
| ~ s_t(X0,ip(X1,ext(X2,X0,X3,X4),X5,X6,X7),X2) ),
inference(superposition,[status(thm)],[c_481345,c_480600]) ).
tcf(c_546753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ip(X1,X2,X3,X4,ext(X5,X0,X6,X7)),X5,X1)
| s_t(ip(X1,X2,X3,X4,ext(X5,X0,X6,X7)),X1,X5)
| ( ip(X1,X2,X3,X4,ext(X5,X0,X6,X7)) = ext(X5,X0,X6,X7) )
| ~ s_t(X1,X2,X3)
| ~ s_t(X4,ext(X5,X0,X6,X7),X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,ext(X5,X0,X6,X7)),X5) ),
inference(superposition,[status(thm)],[c_481345,c_480648]) ).
tcf(c_546754,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ext(X5,X0,X6,X7),X5,X1)
| s_t(ext(X5,X0,X6,X7),X1,X5)
| ( ip(X1,X2,X3,X4,ext(X5,X0,X6,X7)) = ext(X5,X0,X6,X7) )
| ~ s_t(X1,X2,X3)
| ~ s_t(X4,ext(X5,X0,X6,X7),X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,ext(X5,X0,X6,X7)),X5) ),
inference(superposition,[status(thm)],[c_481345,c_480601]) ).
tcf(c_546755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X2,X1,ext(ext(X2,X1,X3,X4),X0,X5,X6))
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X1 )
| ( ext(ext(X2,X1,X3,X4),X0,X5,X6) = X1 )
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481345,c_481222]) ).
tcf(c_546756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ext(ext(X2,X1,X3,X4),X0,X5,X6) = X1 )
| ( ext(ext(ext(X2,X1,X3,X4),X0,X5,X6),X1,X3,X4) = ext(X2,X1,X3,X4) )
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481345,c_480012]) ).
tcf(c_546757,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X2,ip(X1,X2,X3,X4,X5),ext(X4,X0,X6,X7))
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ( ip(X1,X2,X3,X4,X5) = ext(X4,X0,X6,X7) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_481345,c_481223]) ).
tcf(c_546758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X5,ip(X1,X2,X3,X4,X5),ext(X1,X0,X6,X7))
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ( ip(X1,X2,X3,X4,X5) = ext(X1,X0,X6,X7) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_481345,c_481224]) ).
tcf(c_546759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X4,X1,ext(ins(X2,X3,X4,X1),X0,X5,X6))
| ( X1 = X4 )
| ( ins(X2,X3,X4,X1) = X1 )
| ( ext(ins(X2,X3,X4,X1),X0,X5,X6) = X1 )
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_481345,c_481229]) ).
tcf(c_546760,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,X1,ext(c63(X2,X1,X3),X0,X4,X5))
| ( X1 = X3 )
| ( ext(c63(X2,X1,X3),X0,X4,X5) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481345,c_543337]) ).
tcf(c_546761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X2,X1,ext(c63(X2,X1,X3),X0,X4,X5))
| ( X1 = X2 )
| ( ext(c63(X2,X1,X3),X0,X4,X5) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481345,c_542847]) ).
tcf(c_546762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ext(ins(X2,X3,X1,X4),X0,X5,X6) = X1 )
| ( ext(ext(ins(X2,X3,X1,X4),X0,X5,X6),X1,X2,X3) = ins(X2,X3,X1,X4) )
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_481345,c_480795]) ).
tcf(c_546763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X6,crossbar(X1,X2,X3,X4,X5,X6),ext(X3,X0,X7,X8))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = ext(X3,X0,X7,X8) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_481345,c_481227]) ).
tcf(c_546764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(crossbar(X1,X2,X3,X4,X5,ext(X6,X0,X7,X8)),X6,X3)
| s_t(crossbar(X1,X2,X3,X4,X5,ext(X6,X0,X7,X8)),X3,X6)
| ( crossbar(X1,X2,X3,X4,X5,ext(X6,X0,X7,X8)) = ext(X6,X0,X7,X8) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,ext(X6,X0,X7,X8),X4)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,ext(X6,X0,X7,X8)),X6) ),
inference(superposition,[status(thm)],[c_481345,c_480651]) ).
tcf(c_546765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(ext(X6,X0,X7,X8),X6,X3)
| s_t(ext(X6,X0,X7,X8),X3,X6)
| ( crossbar(X1,X2,X3,X4,X5,ext(X6,X0,X7,X8)) = ext(X6,X0,X7,X8) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,ext(X6,X0,X7,X8),X4)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,ext(X6,X0,X7,X8)),X6) ),
inference(superposition,[status(thm)],[c_481345,c_480604]) ).
tcf(c_546766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X2,crossbar(X1,X2,X3,X4,X5,X6),ext(X5,X0,X7,X8))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = ext(X5,X0,X7,X8) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_481345,c_481228]) ).
tcf(c_546767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(crossbar(X1,ext(X2,X0,X3,X4),X5,X6,X7,X8),X7,X2)
| s_t(crossbar(X1,ext(X2,X0,X3,X4),X5,X6,X7,X8),X2,X7)
| ( crossbar(X1,ext(X2,X0,X3,X4),X5,X6,X7,X8) = ext(X2,X0,X3,X4) )
| ~ s_t(X6,X7,X5)
| ~ s_t(X1,X8,X6)
| ~ s_t(X1,ext(X2,X0,X3,X4),X5)
| ~ s_t(X0,crossbar(X1,ext(X2,X0,X3,X4),X5,X6,X7,X8),X2) ),
inference(superposition,[status(thm)],[c_481345,c_480652]) ).
tcf(c_546768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(ext(X2,X0,X3,X4),X7,X2)
| s_t(ext(X2,X0,X3,X4),X2,X7)
| ( crossbar(X1,ext(X2,X0,X3,X4),X5,X6,X7,X8) = ext(X2,X0,X3,X4) )
| ~ s_t(X6,X7,X5)
| ~ s_t(X1,X8,X6)
| ~ s_t(X1,ext(X2,X0,X3,X4),X5)
| ~ s_t(X0,crossbar(X1,ext(X2,X0,X3,X4),X5,X6,X7,X8),X2) ),
inference(superposition,[status(thm)],[c_481345,c_480605]) ).
tcf(c_547376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X1 )
| ~ s_t(X0,X1,ext(X1,X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_481346,c_55]) ).
tcf(c_547377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X0 = X1 )
| ( crossbar(ext(X0,X1,X2,X3),X0,X6,X5,X0,X4) = X0 )
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X0,X6)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481346,c_480316]) ).
tcf(c_547378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X0 = X1 )
| ( crossbar(ext(X0,X1,X2,X3),X0,X4,X5,X6,X4) = X4 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X1,X0,X4)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481346,c_480254]) ).
tcf(c_547379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X3,X4) = X1 )
| ( ext(ext(X1,X0,X3,X4),X1,X1,X2) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481346,c_480013]) ).
tcf(c_547380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X3,X4) = X1 )
| ( ext(ext(X1,X0,X3,X4),X1,X2,X1) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481346,c_480011]) ).
tcf(c_547381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X2 )
| ( ip(ext(X1,X2,X3,X4),X1,X5,X0,ext(X1,X2,X3,X4)) = ext(X1,X2,X3,X4) )
| ~ s_t(X2,X1,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_481346,c_479924]) ).
tcf(c_547382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X1 )
| ( ip(ext(X1,X0,X4,X5),X1,X2,X1,X3) = X1 )
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481346,c_479914]) ).
tcf(c_547383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,ext(X1,X0,X3,X4),X1)
| ( X0 = X1 )
| ( ext(X1,X0,X3,X4) = X2 )
| ( ext(X1,X0,X3,X4) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481346,c_238]) ).
tcf(c_547384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X1,ext(X1,X0,X3,X4),X2)
| ( X0 = X1 )
| ( ext(X1,X0,X3,X4) = xb )
| ( ext(X1,X0,X3,X4) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481346,c_237]) ).
tcf(c_547385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X2,ext(X1,X0,X3,X4))
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481346,c_225]) ).
tcf(c_547386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X2,ext(X1,X0,X3,X4),X1)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481346,c_224]) ).
tcf(c_547387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X1,X0,X3,X4),X1,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481346,c_223]) ).
tcf(c_547388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X4 )
| ( X0 = X1 )
| ~ s_r(X5,X4,X0)
| ~ s_t(X1,X0,X5)
| ~ s_r(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_481346,c_184]) ).
tcf(c_547389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ext(X1,X0,X4,X5),X2)
| s_t(ext(X1,X0,X4,X5),X3,X2)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ s_t(X3,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481346,c_147]) ).
tcf(c_547390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X3,X1,ext(X1,X0,X4,X5))
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X1,X0,X4,X5) = X1 )
| ~ sameside(X3,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481346,c_145]) ).
tcf(c_547391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,X1,X5)
| sameside(X0,X1,ext(X1,X2,X3,X4))
| ( X1 = X5 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X1,X2,X3,X4) = X1 )
| ~ s_t(X2,X1,X5)
| ~ s_col(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481346,c_143]) ).
tcf(c_547392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ~ s_t(X1,X0,X4)
| ~ sameside(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_481346,c_133]) ).
tcf(c_547393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ext(X1,X0,X4,X5),X1,X3)
| ( X1 = X3 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X1,X0,X4,X5) = X1 )
| ~ s_t(X3,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481346,c_131]) ).
tcf(c_547394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X0,X5)
| ( X0 = X5 )
| ( X0 = X4 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_t(X1,X0,X5)
| ~ sameside(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_481346,c_125]) ).
tcf(c_547395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X4,X0)
| s_t(ext(X0,X1,X2,X3),X0,X4)
| ( X0 = X1 )
| ~ s_t(X1,X0,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481346,c_109]) ).
tcf(c_547396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,X4)
| s_t(X0,X4,X5)
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_t(X1,X0,X5)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_481346,c_108]) ).
tcf(c_547397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X5,X4)
| s_t(ext(X0,X1,X2,X3),X4,X5)
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_t(X1,X0,X5)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_481346,c_107]) ).
tcf(c_547398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X1,X0,X4,X5),X1,X3)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481346,c_81]) ).
tcf(c_547399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X0,X5)
| ( X0 = X1 )
| ~ s_t(X1,X0,X4)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481346,c_80]) ).
tcf(c_547400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X1,X0,X4,X5),X3,X2)
| ( X0 = X1 )
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481346,c_79]) ).
tcf(c_547401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X1,X0,X4,X5),X2,X3)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481346,c_78]) ).
tcf(c_547402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X4,X5)
| ( X0 = X1 )
| ~ s_t(X1,X0,X4)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481346,c_77]) ).
tcf(c_547403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X1,X0,X4,X5),X1,X3)
| ( X0 = X1 )
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481346,c_76]) ).
tcf(c_547404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481346,c_75]) ).
tcf(c_547405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ext(X1,X0,X3,X4))
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481346,c_73]) ).
tcf(c_547406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X1 )
| ~ s_t(X0,X1,ext(X1,ext(X1,X0,X2,X3),X4,X5)) ),
inference(superposition,[status(thm)],[c_481346,c_480090]) ).
tcf(c_547407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X1 )
| ~ sameside(X1,ext(X1,X0,X2,X3),X4)
| ~ s_t(X0,X1,c63(X1,ext(X1,X0,X2,X3),X4)) ),
inference(superposition,[status(thm)],[c_481346,c_481094]) ).
tcf(c_547408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X3,X4) = X1 )
| ~ sameside(X2,ext(X1,X0,X3,X4),X1)
| ~ s_t(X0,X1,c63(X2,ext(X1,X0,X3,X4),X1)) ),
inference(superposition,[status(thm)],[c_481346,c_481155]) ).
tcf(c_547409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(ext(X1,X0,X3,X4),X1,X5,X6)
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X2,ext(X1,X0,X3,X4),X5,X6)) ),
inference(superposition,[status(thm)],[c_481346,c_480890]) ).
tcf(c_547410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,ext(ext(X6,X5,alpha,gamma),X5,ext(X1,X0,X3,X4),X1),X6)
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X2,ext(X1,X0,X3,X4),X5,X6)) ),
inference(superposition,[status(thm)],[c_481346,c_480407]) ).
tcf(c_547411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X1,ext(X2,ext(X1,X0,X3,X4),X5,X6))
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X2,ext(X1,X0,X3,X4),X5,X6)) ),
inference(superposition,[status(thm)],[c_481346,c_480181]) ).
tcf(c_547412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(X1,X0,X3,X4),X1)
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(X2,ext(X1,X0,X3,X4),X5,X6)) ),
inference(superposition,[status(thm)],[c_481346,c_480111]) ).
tcf(c_547413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ext(X1,X0,X3,X4),X1)
| ( X0 = X1 )
| ~ sameside(X2,ext(X1,X0,X3,X4),X5)
| ~ s_t(X0,X1,c63(X2,ext(X1,X0,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_481346,c_481154]) ).
tcf(c_547414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X1,c63(X2,ext(X1,X0,X3,X4),X5))
| ( X0 = X1 )
| ~ sameside(X2,ext(X1,X0,X3,X4),X5)
| ~ s_t(X0,X1,c63(X2,ext(X1,X0,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_481346,c_481151]) ).
tcf(c_547415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ext(X1,X0,X3,X4),X1)
| ( X0 = X1 )
| ~ sameside(X2,ext(X1,X0,X3,X4),X5)
| ~ s_t(X0,X1,c63(X2,ext(X1,X0,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_481346,c_481093]) ).
tcf(c_547416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,c63(X2,ext(X1,X0,X3,X4),X5))
| ( X0 = X1 )
| ~ sameside(X2,ext(X1,X0,X3,X4),X5)
| ~ s_t(X0,X1,c63(X2,ext(X1,X0,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_481346,c_481090]) ).
tcf(c_547417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ext(X1,X0,X2,X3),X1)
| ( X0 = X1 )
| ~ s_t(X0,X1,s(ext(X1,X0,X2,X3),X4)) ),
inference(superposition,[status(thm)],[c_481346,c_485964]) ).
tcf(c_547421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ext(X1,X0,X5,X6),X1)
| ( X0 = X1 )
| ~ le(X4,ext(X1,X0,X5,X6),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,ext(X1,X0,X5,X6))) ),
inference(superposition,[status(thm)],[c_481346,c_480745]) ).
tcf(c_547422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X1,ins(X2,X3,X4,ext(X1,X0,X5,X6)))
| ( X0 = X1 )
| ~ le(X4,ext(X1,X0,X5,X6),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,ext(X1,X0,X5,X6))) ),
inference(superposition,[status(thm)],[c_481346,c_480742]) ).
tcf(c_547423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X4,X5) = X1 )
| ~ le(X1,ext(X1,X0,X4,X5),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,ext(X1,X0,X4,X5))) ),
inference(superposition,[status(thm)],[c_481346,c_480746]) ).
tcf(c_547424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( ext(X2,ext(X1,X0,X3,X4),ext(X1,X0,X3,X4),X1) = X1 )
| ~ s_t(X0,X1,ext(X2,ext(X1,X0,X3,X4),ext(X1,X0,X3,X4),X1)) ),
inference(superposition,[status(thm)],[c_481346,c_480982]) ).
tcf(c_547425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X1 )
| ( ins(ext(X1,X0,X2,X3),X1,ext(X1,X0,X2,X3),X4) = X1 )
| ~ le(ext(X1,X0,X2,X3),X4,ext(X1,X0,X2,X3),X1)
| ~ s_t(X0,X1,ins(ext(X1,X0,X2,X3),X1,ext(X1,X0,X2,X3),X4)) ),
inference(superposition,[status(thm)],[c_481346,c_480985]) ).
tcf(c_547426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(ext(X1,X0,X4,X5),X1,X2,X3)
| ( X0 = X1 )
| ~ le(ext(X1,X0,X4,X5),X6,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ext(X1,X0,X4,X5),X6)) ),
inference(superposition,[status(thm)],[c_481346,c_480893]) ).
tcf(c_547427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,ext(X1,X0,X4,X5),X1),X3)
| ( X0 = X1 )
| ~ le(ext(X1,X0,X4,X5),X6,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ext(X1,X0,X4,X5),X6)) ),
inference(superposition,[status(thm)],[c_481346,c_480791]) ).
tcf(c_547428,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X1,X0,X4,X5),X6,X1)
| s_t(ext(X1,X0,X4,X5),X1,X6)
| ( X0 = X1 )
| ~ le(ext(X1,X0,X4,X5),X6,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,ext(X1,X0,X4,X5),X6)) ),
inference(superposition,[status(thm)],[c_481346,c_480737]) ).
tcf(c_547429,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X1,X0,X2,X3),X4,X1)
| s_t(ext(X1,X0,X2,X3),X1,X4)
| ( X0 = X1 )
| ~ s_t(X0,X1,ext(ext(X1,X0,X2,X3),X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481346,c_480701]) ).
tcf(c_547430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X1,X0,X2,X3),X4,X1)
| s_t(ext(X1,X0,X2,X3),X1,X4)
| ( X0 = X1 )
| ~ sameside(ext(X1,X0,X2,X3),X4,X5)
| ~ s_t(X0,X1,c63(ext(X1,X0,X2,X3),X4,X5)) ),
inference(superposition,[status(thm)],[c_481346,c_481085]) ).
tcf(c_547431,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X1,X0,X4,X5),X3,X1)
| s_t(ext(X1,X0,X4,X5),X1,X3)
| ( X0 = X1 )
| ~ sameside(X2,X3,ext(X1,X0,X4,X5))
| ~ s_t(X0,X1,c63(X2,X3,ext(X1,X0,X4,X5))) ),
inference(superposition,[status(thm)],[c_481346,c_481146]) ).
tcf(c_547432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(X1,X0,X2,X3),X1,X0)
| s_t(ext(X1,X0,X2,X3),X0,X1)
| ( X0 = X1 )
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481346,c_481340]) ).
tcf(c_547433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X2,X1,ext(X1,X0,X5,X6))
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ( ext(X1,X0,X5,X6) = X1 )
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481346,c_481222]) ).
tcf(c_547434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X5,X6) = X1 )
| ( ext(ext(X1,X0,X5,X6),X1,X3,X4) = ext(X2,X1,X3,X4) )
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481346,c_480012]) ).
tcf(c_547435,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X2,ip(X1,X2,X3,X4,X5),ext(ip(X1,X2,X3,X4,X5),X0,X6,X7))
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ( ext(ip(X1,X2,X3,X4,X5),X0,X6,X7) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_481346,c_481223]) ).
tcf(c_547436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X5,ip(X1,X2,X3,X4,X5),ext(ip(X1,X2,X3,X4,X5),X0,X6,X7))
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ( ext(ip(X1,X2,X3,X4,X5),X0,X6,X7) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_481346,c_481224]) ).
tcf(c_547437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X4,X1,ext(X1,X0,X5,X6))
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X4,X1) = X1 )
| ( ext(X1,X0,X5,X6) = X1 )
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_481346,c_481229]) ).
tcf(c_547438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,X1,ext(X1,X0,X4,X5))
| ( X1 = X3 )
| ( X0 = X1 )
| ( ext(X1,X0,X4,X5) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481346,c_543337]) ).
tcf(c_547439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X2,X1,ext(X1,X0,X4,X5))
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X1,X0,X4,X5) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481346,c_542847]) ).
tcf(c_547440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X5,X6) = X1 )
| ( ext(ext(X1,X0,X5,X6),X1,X2,X3) = ins(X2,X3,X1,X4) )
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_481346,c_480795]) ).
tcf(c_547441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X6,crossbar(X1,X2,X3,X4,X5,X6),ext(crossbar(X1,X2,X3,X4,X5,X6),X0,X7,X8))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ( ext(crossbar(X1,X2,X3,X4,X5,X6),X0,X7,X8) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_481346,c_481227]) ).
tcf(c_547442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X2,crossbar(X1,X2,X3,X4,X5,X6),ext(crossbar(X1,X2,X3,X4,X5,X6),X0,X7,X8))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ( ext(crossbar(X1,X2,X3,X4,X5,X6),X0,X7,X8) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_481346,c_481228]) ).
tcf(c_547919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_t(X0,X1,ext(ext(X1,X0,X2,X3),X1,X4,X5)),
inference(superposition,[status(thm)],[c_52,c_481347]) ).
tcf(c_547921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X0,ins(X4,X5,ext(X0,X1,X2,X3),X0))
| ~ le(ext(X0,X1,X2,X3),X0,X4,X5) ),
inference(superposition,[status(thm)],[c_110,c_481347]) ).
tcf(c_547922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,c63(ext(X0,X1,X2,X3),X0,X4))
| ~ sameside(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_129,c_481347]) ).
tcf(c_547923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,c63(X0,X1,ext(X1,X2,X3,X4)))
| ~ sameside(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_130,c_481347]) ).
tcf(c_547924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X2,insert5(X0,X1,X6,ext(X2,X3,X4,X5),X2))
| ~ s_t(X0,X1,X6)
| ~ s_e(X0,X1,ext(X2,X3,X4,X5),X2) ),
inference(superposition,[status(thm)],[c_505149,c_481347]) ).
tcf(c_547926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,s(X1,ext(X1,X0,X2,X3))),
inference(superposition,[status(thm)],[c_485940,c_481347]) ).
tcf(c_547928,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X1,ins(X5,X6,X0,ext(X1,X2,X3,X4)))
| s_t(ext(X1,X2,X3,X4),ins(X5,X6,X0,ext(X1,X2,X3,X4)),X1)
| ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X0,ext(X1,X2,X3,X4),X1)
| ~ le(X0,ext(X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480738,c_481347]) ).
tcf(c_547929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X0,ins(X5,X6,ext(X0,X1,X2,X3),X4))
| s_t(ext(X0,X1,X2,X3),ins(X5,X6,ext(X0,X1,X2,X3),X4),X0)
| ( ext(X0,X1,X2,X3) = X4 )
| ~ s_t(ext(X0,X1,X2,X3),X4,X0)
| ~ le(ext(X0,X1,X2,X3),X4,X5,X6) ),
inference(superposition,[status(thm)],[c_480739,c_481347]) ).
tcf(c_547932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X0,ip(X5,ext(X0,X1,X2,X3),X6,X4,X7))
| s_t(ext(X0,X1,X2,X3),ip(X5,ext(X0,X1,X2,X3),X6,X4,X7),X0)
| ~ s_t(X4,X7,X6)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_480702,c_481347]) ).
tcf(c_547933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X0,ip(X4,X7,X6,X5,ext(X0,X1,X2,X3)))
| s_t(ext(X0,X1,X2,X3),ip(X4,X7,X6,X5,ext(X0,X1,X2,X3)),X0)
| ~ s_t(X4,X7,X6)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_480703,c_481347]) ).
tcf(c_547934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X0,ext(ext(X0,X1,X2,X3),X4,X5,X6))
| s_t(ext(X0,X1,X2,X3),ext(ext(X0,X1,X2,X3),X4,X5,X6),X0)
| ( ext(X0,X1,X2,X3) = X4 )
| ~ s_t(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_480599,c_481347]) ).
tcf(c_547935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X0,c63(ext(X0,X1,X2,X3),X4,X5))
| s_t(ext(X0,X1,X2,X3),c63(ext(X0,X1,X2,X3),X4,X5),X0)
| ( ext(X0,X1,X2,X3) = X4 )
| ~ sameside(ext(X0,X1,X2,X3),X4,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_481087,c_481347]) ).
tcf(c_547936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X0,c63(X5,X4,ext(X0,X1,X2,X3)))
| s_t(ext(X0,X1,X2,X3),c63(X5,X4,ext(X0,X1,X2,X3)),X0)
| ( ext(X0,X1,X2,X3) = X4 )
| ~ sameside(X5,X4,ext(X0,X1,X2,X3))
| ~ s_t(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_481148,c_481347]) ).
tcf(c_547937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X1,ext(X0,ext(X1,X2,X3,X4),X5,X6))
| s_t(ext(X1,X2,X3,X4),ext(X0,ext(X1,X2,X3,X4),X5,X6),X1)
| ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_480646,c_481347]) ).
tcf(c_547938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,c63(X0,ext(X1,X2,X3,X4),X5))
| s_t(ext(X1,X2,X3,X4),c63(X0,ext(X1,X2,X3,X4),X5),X1)
| ( ext(X1,X2,X3,X4) = X0 )
| ~ sameside(X0,ext(X1,X2,X3,X4),X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_481086,c_481347]) ).
tcf(c_547939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,c63(X5,ext(X1,X2,X3,X4),X0))
| s_t(ext(X1,X2,X3,X4),c63(X5,ext(X1,X2,X3,X4),X0),X1)
| ( ext(X1,X2,X3,X4) = X0 )
| ~ sameside(X5,ext(X1,X2,X3,X4),X0)
| ~ s_t(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_481147,c_481347]) ).
tcf(c_547940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X1,ins(X5,X6,X0,X1))
| ( X0 = X1 )
| ( ins(X5,X6,X0,X1) = X1 )
| ( ext(X1,X2,X3,X4) = X1 )
| ~ le(X0,X1,X5,X6)
| ~ sameside(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481026,c_481347]) ).
tcf(c_547941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,c63(X5,X1,X0))
| ( X0 = X1 )
| ( ext(X1,X2,X3,X4) = X1 )
| ~ sameside(X5,X1,X0)
| ~ sameside(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_534516,c_481347]) ).
tcf(c_547942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,c63(X0,X1,X5))
| ( X0 = X1 )
| ( ext(X1,X2,X3,X4) = X1 )
| ~ sameside(X0,X1,X5)
| ~ sameside(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_528230,c_481347]) ).
tcf(c_547943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,X0,crossbar(X5,X7,X4,X6,X8,ext(X0,X1,X2,X3)))
| s_t(ext(X0,X1,X2,X3),crossbar(X5,X7,X4,X6,X8,ext(X0,X1,X2,X3)),X0)
| ~ s_t(X6,X8,X4)
| ~ s_t(X5,X7,X4)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_480706,c_481347]) ).
tcf(c_547944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,X0,crossbar(X5,ext(X0,X1,X2,X3),X6,X8,X4,X7))
| s_t(ext(X0,X1,X2,X3),crossbar(X5,ext(X0,X1,X2,X3),X6,X8,X4,X7),X0)
| ~ s_t(X8,X4,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,ext(X0,X1,X2,X3),X6)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_480707,c_481347]) ).
tcf(c_547945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X1,ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ( ext(X1,X2,X3,X4) = X1 )
| ( ext(X0,X1,X5,X6) = X1 )
| ~ sameside(X0,X1,ext(X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481019,c_481347]) ).
tcf(c_547946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_t(X0,X1,ext(ext(X1,X0,X2,X3),s(X1,ext(X1,X0,X2,X3)),X4,X5)),
inference(superposition,[status(thm)],[c_517544,c_481347]) ).
tcf(c_547947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,s(s(X1,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3))),
inference(superposition,[status(thm)],[c_517551,c_481347]) ).
tcf(c_547948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,s(s(s(X1,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3))),
inference(superposition,[status(thm)],[c_517650,c_481347]) ).
tcf(c_547950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_t(X0,X1,s(ext(ext(X1,X0,X2,X3),X1,X4,X5),ext(X1,X0,X2,X3))),
inference(superposition,[status(thm)],[c_495727,c_481347]) ).
tcf(c_548048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X2,X1,s(X1,ext(X1,X2,X3,X4)),X0,X1,X5) = X1 )
| ~ s_t(X2,X5,X0)
| ~ s_t(X0,X1,s(X1,ext(X1,X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_547926,c_480316]) ).
tcf(c_548049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X0,X1,s(X1,ext(X1,X0,X2,X3)),X4,X5,s(X1,ext(X1,X0,X2,X3))) = s(X1,ext(X1,X0,X2,X3)) )
| ~ s_t(X4,X5,s(X1,ext(X1,X0,X2,X3)))
| ~ s_t(X0,s(X1,ext(X1,X0,X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_547926,c_480254]) ).
tcf(c_548050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X1,s(X1,ext(X1,X0,X2,X3))) = s(X1,ext(X1,X0,X2,X3)) ) ),
inference(superposition,[status(thm)],[c_547926,c_480013]) ).
tcf(c_548051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,s(X1,ext(X1,X0,X2,X3)),X1) = s(X1,ext(X1,X0,X2,X3)) ) ),
inference(superposition,[status(thm)],[c_547926,c_480011]) ).
tcf(c_548052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X1,X2,s(X2,ext(X2,X1,X3,X4)),X0,X1) = X1 )
| ~ s_t(X0,X1,s(X2,ext(X2,X1,X3,X4))) ),
inference(superposition,[status(thm)],[c_547926,c_479924]) ).
tcf(c_548053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X2,X0,s(X0,ext(X0,X2,X3,X4)),X0,X1) = X0 )
| ~ s_t(X0,X1,s(X0,ext(X0,X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_547926,c_479914]) ).
tcf(c_548054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(X0,ext(X0,X1,X2,X3)),X1,X0)
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X1 ) ),
inference(superposition,[status(thm)],[c_547926,c_238]) ).
tcf(c_548055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,X0,s(X1,ext(X1,X0,X2,X3)))
| ( X0 = xb )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_547926,c_237]) ).
tcf(c_548056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,s(X0,ext(X0,X1,X2,X3)),X1),
inference(superposition,[status(thm)],[c_547926,c_225]) ).
tcf(c_548057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(s(X0,ext(X0,X1,X2,X3)),X1,X0),
inference(superposition,[status(thm)],[c_547926,c_224]) ).
tcf(c_548058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,X1,s(X1,ext(X1,X0,X2,X3))),
inference(superposition,[status(thm)],[c_547926,c_223]) ).
tcf(c_548059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X4 )
| ~ s_r(X1,X4,X0)
| ~ s_r(s(X0,ext(X0,X1,X2,X3)),X4,X0) ),
inference(superposition,[status(thm)],[c_547926,c_184]) ).
tcf(c_548060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,s(X1,ext(X1,X2,X3,X4)))
| s_t(X0,X2,s(X1,ext(X1,X2,X3,X4)))
| ( s(X1,ext(X1,X2,X3,X4)) = X1 )
| ~ s_t(X0,X1,s(X1,ext(X1,X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_547926,c_147]) ).
tcf(c_548061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X2)
| ( X1 = X2 )
| ( s(X1,ext(X1,X2,X3,X4)) = X1 )
| ~ sameside(X0,X1,s(X1,ext(X1,X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_547926,c_145]) ).
tcf(c_548062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,s(X1,ext(X1,X2,X3,X4)))
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(X1,ext(X1,X2,X3,X4)) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_143]) ).
tcf(c_548063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ sameside(X0,X1,s(X1,ext(X1,X0,X2,X3))),
inference(superposition,[status(thm)],[c_547926,c_133]) ).
tcf(c_548064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(X1,ext(X1,X2,X3,X4)) = X1 )
| ~ s_t(X0,X1,s(X1,ext(X1,X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_547926,c_131]) ).
tcf(c_548065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,s(X1,ext(X1,X0,X3,X4)))
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(X1,ext(X1,X0,X3,X4)) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_125]) ).
tcf(c_548066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,X1)
| s_t(X0,X1,X2)
| ~ s_t(X0,X1,s(X2,ext(X2,X0,X3,X4))) ),
inference(superposition,[status(thm)],[c_547926,c_109]) ).
tcf(c_548067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,s(X1,ext(X1,X0,X3,X4)))
| s_t(X1,s(X1,ext(X1,X0,X3,X4)),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_108]) ).
tcf(c_548068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,s(X1,ext(X1,X0,X3,X4)))
| s_t(X0,s(X1,ext(X1,X0,X3,X4)),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_107]) ).
tcf(c_548069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,X4)
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_t(X0,s(X0,ext(X0,X1,X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_547926,c_81]) ).
tcf(c_548070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X1,X4)
| ~ s_t(X0,s(X1,ext(X1,X0,X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_547926,c_80]) ).
tcf(c_548071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,s(X0,ext(X0,X2,X3,X4)))
| ~ s_t(X0,X1,s(X0,ext(X0,X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_547926,c_79]) ).
tcf(c_548072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,s(X0,ext(X0,X1,X2,X3)),X4)
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_t(X0,s(X0,ext(X0,X1,X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_547926,c_78]) ).
tcf(c_548073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,s(X1,ext(X1,X0,X2,X3)),X4)
| ~ s_t(X0,s(X1,ext(X1,X0,X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_547926,c_77]) ).
tcf(c_548074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,X1)
| ~ s_t(X0,X1,s(X0,ext(X0,X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_547926,c_76]) ).
tcf(c_548075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ~ s_t(X0,X1,s(X0,ext(X0,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_547926,c_75]) ).
tcf(c_548076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(s(X0,ext(X0,X1,X2,X3)),X0,X1),
inference(superposition,[status(thm)],[c_547926,c_73]) ).
tcf(c_548078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_t(X0,X1,s(ext(X0,X1,X2,X3),ext(ext(X0,X1,X2,X3),X0,X4,X5))),
inference(superposition,[status(thm)],[c_547926,c_480204]) ).
tcf(c_548079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_t(X0,ext(X1,X0,X2,X3),s(ext(X1,X0,X2,X3),ext(ext(X1,X0,X2,X3),X1,X4,X5))),
inference(superposition,[status(thm)],[c_547926,c_480134]) ).
tcf(c_548080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X0,X1,X2),s(c63(X0,X1,X2),ext(c63(X0,X1,X2),X0,X3,X4)))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_481092]) ).
tcf(c_548081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X1,s(c63(X0,X1,X2),ext(c63(X0,X1,X2),X0,X3,X4)))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_481089]) ).
tcf(c_548082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X0,X1,X2),s(c63(X0,X1,X2),ext(c63(X0,X1,X2),X2,X3,X4)))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_481153]) ).
tcf(c_548083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,s(c63(X0,X1,X2),ext(c63(X0,X1,X2),X2,X3,X4)))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_481150]) ).
tcf(c_548084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_t(X0,X1,s(X1,ext(X1,ext(X1,X0,X2,X3),X4,X5))),
inference(superposition,[status(thm)],[c_547926,c_481347]) ).
tcf(c_548085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_t(ext(X0,X1,X2,X3),X1,s(X0,ext(X0,ext(X0,X1,X2,X3),X4,X5))),
inference(superposition,[status(thm)],[c_547926,c_481344]) ).
tcf(c_548086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,s(s(X1,X0),ext(s(X1,X0),X0,X2,X3))),
inference(superposition,[status(thm)],[c_547926,c_485960]) ).
tcf(c_548087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X0,s(X1,ext(X1,ext(X0,X1,X2,X3),X4,X5)))
| s_t(ext(X0,X1,X2,X3),s(X1,ext(X1,ext(X0,X1,X2,X3),X4,X5)),X0)
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_547926,c_481342]) ).
tcf(c_548088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X0,s(X1,ext(X1,ext(X0,X1,X2,X3),X4,X5)))
| s_t(X1,s(X1,ext(X1,ext(X0,X1,X2,X3),X4,X5)),X0)
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_547926,c_481341]) ).
tcf(c_548089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ins(X2,X3,X0,X1),s(ins(X2,X3,X0,X1),ext(ins(X2,X3,X0,X1),X0,X4,X5)))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_547926,c_480744]) ).
tcf(c_548090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,s(ins(X2,X3,X0,X1),ext(ins(X2,X3,X0,X1),X0,X4,X5)))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_547926,c_480741]) ).
tcf(c_548091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,s(ext(X0,X1,X2,X3),ext(ext(X0,X1,X2,X3),X1,X4,X5)))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_547926,c_480227]) ).
tcf(c_548092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(X0,X1,X2,X3),s(ext(X0,X1,X2,X3),ext(ext(X0,X1,X2,X3),X1,X4,X5)))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_547926,c_480157]) ).
tcf(c_548093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ins(X2,X3,X0,X1),s(ins(X2,X3,X0,X1),ext(ins(X2,X3,X0,X1),X1,X4,X5)))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_547926,c_480743]) ).
tcf(c_548094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,s(ins(X2,X3,X0,X1),ext(ins(X2,X3,X0,X1),X1,X4,X5)))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_547926,c_480740]) ).
tcf(c_548095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X0,X1,X2),s(c63(X0,X1,X2),ext(c63(X0,X1,X2),X1,X3,X4)))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_539198]) ).
tcf(c_548096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,s(c63(X0,X1,X2),ext(c63(X0,X1,X2),X1,X3,X4)))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_538289]) ).
tcf(c_548097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,c63(X0,X1,X2),s(c63(X0,X1,X2),ext(c63(X0,X1,X2),X1,X3,X4)))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_532776]) ).
tcf(c_548098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X1,s(c63(X0,X1,X2),ext(c63(X0,X1,X2),X1,X3,X4)))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_531999]) ).
tcf(c_548099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),s(X3,ext(X3,ip(X0,X1,X2,X3,X4),X5,X6)))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_480228]) ).
tcf(c_548100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X3,s(X3,ext(X3,ip(X0,X1,X2,X3,X4),X5,X6)))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_480158]) ).
tcf(c_548101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),s(X0,ext(X0,ip(X0,X1,X2,X3,X4),X5,X6)))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_480229]) ).
tcf(c_548102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X0,s(X0,ext(X0,ip(X0,X1,X2,X3,X4),X5,X6)))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_480159]) ).
tcf(c_548103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X3,s(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X1,X5,X6)))
| s_t(ip(X0,X1,X2,X3,X4),s(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X1,X5,X6)),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_480647]) ).
tcf(c_548104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X3,s(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X1,X5,X6)))
| s_t(X1,s(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X1,X5,X6)),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_480600]) ).
tcf(c_548105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X0,s(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X4,X5,X6)))
| s_t(ip(X0,X1,X2,X3,X4),s(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X4,X5,X6)),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_480648]) ).
tcf(c_548106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X0,s(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X4,X5,X6)))
| s_t(X4,s(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X4,X5,X6)),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_480601]) ).
tcf(c_548107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X3,X4,X2,X5,X1),X4,s(crossbar(X0,X3,X4,X2,X5,X1),ext(crossbar(X0,X3,X4,X2,X5,X1),X1,X6,X7)))
| s_t(crossbar(X0,X3,X4,X2,X5,X1),s(crossbar(X0,X3,X4,X2,X5,X1),ext(crossbar(X0,X3,X4,X2,X5,X1),X1,X6,X7)),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_480651]) ).
tcf(c_548108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X4,s(crossbar(X0,X3,X4,X2,X5,X1),ext(crossbar(X0,X3,X4,X2,X5,X1),X1,X6,X7)))
| s_t(X1,s(crossbar(X0,X3,X4,X2,X5,X1),ext(crossbar(X0,X3,X4,X2,X5,X1),X1,X6,X7)),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_480604]) ).
tcf(c_548109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X2,s(X2,ext(X2,crossbar(X0,X1,X2,X4,X5,X3),X6,X7)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_480258]) ).
tcf(c_548110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X5,X3),s(X2,ext(X2,crossbar(X0,X1,X2,X4,X5,X3),X6,X7)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_480255]) ).
tcf(c_548111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X1,X2,X4,X5,X3),X5,s(crossbar(X0,X1,X2,X4,X5,X3),ext(crossbar(X0,X1,X2,X4,X5,X3),X1,X6,X7)))
| s_t(crossbar(X0,X1,X2,X4,X5,X3),s(crossbar(X0,X1,X2,X4,X5,X3),ext(crossbar(X0,X1,X2,X4,X5,X3),X1,X6,X7)),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_480652]) ).
tcf(c_548112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X5,s(crossbar(X0,X1,X2,X4,X5,X3),ext(crossbar(X0,X1,X2,X4,X5,X3),X1,X6,X7)))
| s_t(X1,s(crossbar(X0,X1,X2,X4,X5,X3),ext(crossbar(X0,X1,X2,X4,X5,X3),X1,X6,X7)),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_480605]) ).
tcf(c_548113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X5,s(X5,ext(X5,crossbar(X0,X1,X2,X4,X5,X3),X6,X7)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_480320]) ).
tcf(c_548114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),s(X5,ext(X5,crossbar(X0,X1,X2,X4,X5,X3),X6,X7)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_547926,c_480317]) ).
tcf(c_548453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,s(X0,ext(X0,X1,X2,X3)))
| s_t(X0,s(X0,ext(X0,X1,X2,X3)),X1)
| s_t(s(X0,ext(X0,X1,X2,X3)),X1,X0) ),
inference(superposition,[status(thm)],[c_548056,c_222]) ).
tcf(c_548454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X0,ext(X0,X1,X2,X3)) = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_r(X0,s(X0,ext(X0,X1,X2,X3)),X1) ),
inference(superposition,[status(thm)],[c_548056,c_187]) ).
tcf(c_548455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X1,X0,X4)
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_r(s(X0,ext(X0,X1,X2,X3)),X0,X4) ),
inference(superposition,[status(thm)],[c_548056,c_181]) ).
tcf(c_548456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X6,X7,X5)
| ( X6 = X7 )
| ( X1 = X4 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(X6,X7,X4)
| ~ s_col(X6,X7,X1)
| ~ s_col(X0,s(X0,ext(X0,X1,X2,X3)),X5)
| ~ s_col(X0,s(X0,ext(X0,X1,X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_548056,c_152]) ).
tcf(c_548457,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X1,X4,X5)
| ( X1 = X4 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(X0,s(X0,ext(X0,X1,X2,X3)),X5)
| ~ s_col(X0,s(X0,ext(X0,X1,X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_548056,c_151]) ).
tcf(c_548458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(X0,s(X0,ext(X0,X1,X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_548056,c_148]) ).
tcf(c_548459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,s(X0,ext(X0,X1,X2,X3)),X1)
| s_t(X0,s(X0,ext(X0,X1,X2,X3)),X1) ),
inference(superposition,[status(thm)],[c_548056,c_134]) ).
tcf(c_548460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,X1,s(X0,ext(X0,X1,X2,X3))),
inference(superposition,[status(thm)],[c_548056,c_98]) ).
tcf(c_548461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(s(X0,ext(X0,X1,X2,X3)),X0,X1),
inference(superposition,[status(thm)],[c_548056,c_97]) ).
tcf(c_548462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,s(X1,ext(X1,X0,X2,X3)),X1),
inference(superposition,[status(thm)],[c_548056,c_96]) ).
tcf(c_548465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(X0,s(X0,ext(X0,X1,X2,X3)),X4,X5,X6)
| ( X5 = X6 )
| ( X4 = X7 )
| ( X1 = X4 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_r(X1,X4,X7)
| ~ s_col(X5,X6,X7)
| ~ s_col(X5,X6,X4)
| ~ s_col(X0,s(X0,ext(X0,X1,X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_548056,c_200]) ).
tcf(c_548505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X4,X0,ext(X1,X0,X2,X3))
| ~ s_t(X0,ext(X1,X0,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_481348,c_507196]) ).
tcf(c_548506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X4,ext(X1,X0,X2,X3),X0)
| ~ s_t(X0,ext(X1,X0,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_481348,c_507140]) ).
tcf(c_548507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ext(ext(X4,X4,alpha,gamma),X4,ext(X1,X0,X2,X3),X0),X4)
| ~ s_t(X0,ext(X1,X0,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_481348,c_480409]) ).
tcf(c_548508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(ext(X1,X0,X2,X3),X0,X4,X4)
| ~ s_t(X0,ext(X1,X0,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_481348,c_480892]) ).
tcf(c_548509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_m(ext(X1,X0,X2,X3),X0,ext(X1,X0,X2,X3))
| ~ s_t(X0,ext(X1,X0,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_481348,c_486468]) ).
tcf(c_548510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,ext(X1,X0,X2,X3))
| ~ s_t(X0,ext(X1,X0,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_481348,c_480184]) ).
tcf(c_548511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ext(X1,X0,X2,X3),X0)
| ~ s_t(X0,ext(X1,X0,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_481348,c_480114]) ).
tcf(c_548513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(ext(X0,X1,X2,X3),X1,X6,X5,X1,X4) = X1 )
| ~ s_t(X5,X1,X6)
| ~ s_t(X1,X6,X0)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481348,c_480316]) ).
tcf(c_548514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( crossbar(ext(X0,X1,X2,X3),X1,X4,X5,X6,X4) = X4 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X1,X4,X0)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481348,c_480254]) ).
tcf(c_548515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ext(X2,X0,X3,X4) = X0 )
| ( ext(ext(X2,X0,X3,X4),X0,X0,X1) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481348,c_480013]) ).
tcf(c_548516,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ext(X2,X0,X3,X4) = X0 )
| ( ext(ext(X2,X0,X3,X4),X0,X1,X0) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481348,c_480011]) ).
tcf(c_548517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(ext(X1,X2,X3,X4),X2,X5,X0,ext(X1,X2,X3,X4)) = ext(X1,X2,X3,X4) )
| ~ s_t(X2,X5,X1)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_481348,c_479924]) ).
tcf(c_548518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(ext(X2,X0,X4,X5),X0,X1,X0,X3) = X0 )
| ~ s_t(X0,X3,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481348,c_479914]) ).
tcf(c_548519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X1,ext(X2,X0,X3,X4),X0)
| ( ext(X2,X0,X3,X4) = X1 )
| ( ext(X2,X0,X3,X4) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481348,c_238]) ).
tcf(c_548520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,ext(X2,X0,X3,X4),X1)
| ( ext(X2,X0,X3,X4) = xb )
| ( ext(X2,X0,X3,X4) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481348,c_237]) ).
tcf(c_548521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,ext(X2,X0,X3,X4))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481348,c_225]) ).
tcf(c_548522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,ext(X2,X0,X3,X4),X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481348,c_224]) ).
tcf(c_548523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X2,X0,X3,X4),X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481348,c_223]) ).
tcf(c_548524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X4 )
| ~ s_r(X5,X4,X1)
| ~ s_t(X1,X5,X0)
| ~ s_r(ext(X0,X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_481348,c_184]) ).
tcf(c_548525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ext(X2,X0,X4,X5),X1)
| s_t(ext(X2,X0,X4,X5),X3,X1)
| ( X0 = X1 )
| ~ s_t(X3,X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481348,c_147]) ).
tcf(c_548526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X3,X0,ext(X2,X0,X4,X5))
| ( X0 = X1 )
| ( ext(X2,X0,X4,X5) = X0 )
| ~ sameside(X3,X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481348,c_145]) ).
tcf(c_548527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,X1,X5)
| sameside(X0,X1,ext(X2,X1,X3,X4))
| ( X1 = X5 )
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ s_t(X1,X5,X2)
| ~ s_col(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481348,c_143]) ).
tcf(c_548528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ s_t(X1,X4,X0)
| ~ sameside(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481348,c_133]) ).
tcf(c_548529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ext(X2,X0,X4,X5),X0,X3)
| ( X0 = X3 )
| ( X0 = X1 )
| ( ext(X2,X0,X4,X5) = X0 )
| ~ s_t(X3,X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481348,c_131]) ).
tcf(c_548530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X1,X5)
| ( X1 = X5 )
| ( X1 = X4 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X1,X5,X0)
| ~ sameside(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481348,c_125]) ).
tcf(c_548531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X4,X1)
| s_t(ext(X0,X1,X2,X3),X1,X4)
| ~ s_t(X1,X5,X0)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481348,c_109]) ).
tcf(c_548532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,X4)
| s_t(X1,X4,X5)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X1,X5,X0)
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481348,c_108]) ).
tcf(c_548533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X5,X4)
| s_t(ext(X0,X1,X2,X3),X4,X5)
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X1,X5,X0)
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481348,c_107]) ).
tcf(c_548534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X2,X0,X4,X5),X0,X3)
| ( X0 = X1 )
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481348,c_81]) ).
tcf(c_548535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X1,X5)
| ~ s_t(X1,X4,X0)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481348,c_80]) ).
tcf(c_548536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X2,X0,X4,X5),X3,X1)
| ~ s_t(X0,X3,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481348,c_79]) ).
tcf(c_548537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X2,X0,X4,X5),X1,X3)
| ( X0 = X1 )
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481348,c_78]) ).
tcf(c_548538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X4,X5)
| ~ s_t(X1,X4,X0)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481348,c_77]) ).
tcf(c_548539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X2,X0,X4,X5),X0,X3)
| ~ s_t(X0,X3,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481348,c_76]) ).
tcf(c_548540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X0,X4,X1)
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481348,c_75]) ).
tcf(c_548541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,ext(X2,X0,X3,X4))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481348,c_73]) ).
tcf(c_548542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X0,ext(X0,ext(X1,X0,X2,X3),X4,X5),X1) ),
inference(superposition,[status(thm)],[c_481348,c_480090]) ).
tcf(c_548543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ext(X1,X0,X2,X3) = X0 )
| ~ sameside(X0,ext(X1,X0,X2,X3),X4)
| ~ s_t(X0,c63(X0,ext(X1,X0,X2,X3),X4),X1) ),
inference(superposition,[status(thm)],[c_481348,c_481094]) ).
tcf(c_548544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ext(X2,X0,X3,X4) = X0 )
| ~ sameside(X1,ext(X2,X0,X3,X4),X0)
| ~ s_t(X0,c63(X1,ext(X2,X0,X3,X4),X0),X2) ),
inference(superposition,[status(thm)],[c_481348,c_481155]) ).
tcf(c_548545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(ext(X2,X0,X3,X4),X0,X5,X6)
| ~ s_t(X0,ext(X1,ext(X2,X0,X3,X4),X5,X6),X2) ),
inference(superposition,[status(thm)],[c_481348,c_480890]) ).
tcf(c_548546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,ext(ext(X6,X5,alpha,gamma),X5,ext(X2,X0,X3,X4),X0),X6)
| ~ s_t(X0,ext(X1,ext(X2,X0,X3,X4),X5,X6),X2) ),
inference(superposition,[status(thm)],[c_481348,c_480407]) ).
tcf(c_548547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X0,ext(X1,ext(X2,X0,X3,X4),X5,X6))
| ~ s_t(X0,ext(X1,ext(X2,X0,X3,X4),X5,X6),X2) ),
inference(superposition,[status(thm)],[c_481348,c_480181]) ).
tcf(c_548548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ext(X2,X0,X3,X4),X0)
| ~ s_t(X0,ext(X1,ext(X2,X0,X3,X4),X5,X6),X2) ),
inference(superposition,[status(thm)],[c_481348,c_480111]) ).
tcf(c_548549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ext(X2,X0,X3,X4),X0)
| ~ sameside(X1,ext(X2,X0,X3,X4),X5)
| ~ s_t(X0,c63(X1,ext(X2,X0,X3,X4),X5),X2) ),
inference(superposition,[status(thm)],[c_481348,c_481154]) ).
tcf(c_548550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,c63(X1,ext(X2,X0,X3,X4),X5))
| ~ sameside(X1,ext(X2,X0,X3,X4),X5)
| ~ s_t(X0,c63(X1,ext(X2,X0,X3,X4),X5),X2) ),
inference(superposition,[status(thm)],[c_481348,c_481151]) ).
tcf(c_548551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ext(X2,X0,X3,X4),X0)
| ~ sameside(X1,ext(X2,X0,X3,X4),X5)
| ~ s_t(X0,c63(X1,ext(X2,X0,X3,X4),X5),X2) ),
inference(superposition,[status(thm)],[c_481348,c_481093]) ).
tcf(c_548552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X0,c63(X1,ext(X2,X0,X3,X4),X5))
| ~ sameside(X1,ext(X2,X0,X3,X4),X5)
| ~ s_t(X0,c63(X1,ext(X2,X0,X3,X4),X5),X2) ),
inference(superposition,[status(thm)],[c_481348,c_481090]) ).
tcf(c_548553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ext(X1,X0,X2,X3),X0)
| ~ s_t(X0,s(ext(X1,X0,X2,X3),X4),X1) ),
inference(superposition,[status(thm)],[c_481348,c_485964]) ).
tcf(c_548555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(X0,X0,X2,X3),X0,X1)
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_481348,c_481344]) ).
tcf(c_548556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X2,X0,X3,X4),X2,X1)
| s_t(ext(X2,X0,X3,X4),X1,X2)
| ( ext(X2,X0,X3,X4) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481348,c_481342]) ).
tcf(c_548558,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ext(X4,X0,X5,X6),X0)
| ~ le(X3,ext(X4,X0,X5,X6),X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,ext(X4,X0,X5,X6)),X4) ),
inference(superposition,[status(thm)],[c_481348,c_480745]) ).
tcf(c_548559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X0,ins(X1,X2,X3,ext(X4,X0,X5,X6)))
| ~ le(X3,ext(X4,X0,X5,X6),X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,ext(X4,X0,X5,X6)),X4) ),
inference(superposition,[status(thm)],[c_481348,c_480742]) ).
tcf(c_548560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ext(X3,X0,X4,X5) = X0 )
| ~ le(X0,ext(X3,X0,X4,X5),X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,ext(X3,X0,X4,X5)),X3) ),
inference(superposition,[status(thm)],[c_481348,c_480746]) ).
tcf(c_548561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ext(X1,ext(X2,X0,X3,X4),ext(X2,X0,X3,X4),X0) = X0 )
| ~ s_t(X0,ext(X1,ext(X2,X0,X3,X4),ext(X2,X0,X3,X4),X0),X2) ),
inference(superposition,[status(thm)],[c_481348,c_480982]) ).
tcf(c_548562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ins(ext(X1,X0,X2,X3),X0,ext(X1,X0,X2,X3),X4) = X0 )
| ~ le(ext(X1,X0,X2,X3),X4,ext(X1,X0,X2,X3),X0)
| ~ s_t(X0,ins(ext(X1,X0,X2,X3),X0,ext(X1,X0,X2,X3),X4),X1) ),
inference(superposition,[status(thm)],[c_481348,c_480985]) ).
tcf(c_548563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(ext(X3,X0,X4,X5),X0,X1,X2)
| ~ le(ext(X3,X0,X4,X5),X6,X1,X2)
| ~ s_t(X0,ins(X1,X2,ext(X3,X0,X4,X5),X6),X3) ),
inference(superposition,[status(thm)],[c_481348,c_480893]) ).
tcf(c_548564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ext(ext(X2,X1,alpha,gamma),X1,ext(X3,X0,X4,X5),X0),X2)
| ~ le(ext(X3,X0,X4,X5),X6,X1,X2)
| ~ s_t(X0,ins(X1,X2,ext(X3,X0,X4,X5),X6),X3) ),
inference(superposition,[status(thm)],[c_481348,c_480791]) ).
tcf(c_548565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X3,X0,X4,X5),X6,X0)
| s_t(ext(X3,X0,X4,X5),X0,X6)
| ~ le(ext(X3,X0,X4,X5),X6,X1,X2)
| ~ s_t(X0,ins(X1,X2,ext(X3,X0,X4,X5),X6),X3) ),
inference(superposition,[status(thm)],[c_481348,c_480737]) ).
tcf(c_548566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X1,X0,X2,X3),X4,X0)
| s_t(ext(X1,X0,X2,X3),X0,X4)
| ~ s_t(X0,ext(ext(X1,X0,X2,X3),X4,X5,X6),X1) ),
inference(superposition,[status(thm)],[c_481348,c_480701]) ).
tcf(c_548567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X1,X0,X2,X3),X4,X0)
| s_t(ext(X1,X0,X2,X3),X0,X4)
| ~ sameside(ext(X1,X0,X2,X3),X4,X5)
| ~ s_t(X0,c63(ext(X1,X0,X2,X3),X4,X5),X1) ),
inference(superposition,[status(thm)],[c_481348,c_481085]) ).
tcf(c_548568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X3,X0,X4,X5),X2,X0)
| s_t(ext(X3,X0,X4,X5),X0,X2)
| ~ sameside(X1,X2,ext(X3,X0,X4,X5))
| ~ s_t(X0,c63(X1,X2,ext(X3,X0,X4,X5)),X3) ),
inference(superposition,[status(thm)],[c_481348,c_481146]) ).
tcf(c_548569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(X1,X0,X2,X3),X0,X0)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481348,c_481340]) ).
tcf(c_548570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X1,X0,ext(X4,X0,X5,X6))
| ( X0 = X1 )
| ( ext(X4,X0,X5,X6) = X0 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481348,c_481222]) ).
tcf(c_548571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ext(X4,X0,X5,X6) = X0 )
| ( ext(ext(X4,X0,X5,X6),X0,X2,X3) = ext(X1,X0,X2,X3) )
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481348,c_480012]) ).
tcf(c_548572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X4),ext(X5,ip(X0,X1,X2,X3,X4),X6,X7))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( ext(X5,ip(X0,X1,X2,X3,X4),X6,X7) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_481348,c_481223]) ).
tcf(c_548573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),ext(X5,ip(X0,X1,X2,X3,X4),X6,X7))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( ext(X5,ip(X0,X1,X2,X3,X4),X6,X7) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_481348,c_481224]) ).
tcf(c_548574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X3,X0,ext(X4,X0,X5,X6))
| ( X0 = X3 )
| ( ins(X1,X2,X3,X0) = X0 )
| ( ext(X4,X0,X5,X6) = X0 )
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_481348,c_481229]) ).
tcf(c_548575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X2,X0,ext(X3,X0,X4,X5))
| ( X0 = X2 )
| ( ext(X3,X0,X4,X5) = X0 )
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_481348,c_543337]) ).
tcf(c_548576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X1,X0,ext(X3,X0,X4,X5))
| ( X0 = X1 )
| ( ext(X3,X0,X4,X5) = X0 )
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_481348,c_542847]) ).
tcf(c_548577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( ext(X4,X0,X5,X6) = X0 )
| ( ext(ext(X4,X0,X5,X6),X0,X1,X2) = ins(X1,X2,X0,X3) )
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_481348,c_480795]) ).
tcf(c_548578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X5,crossbar(X0,X1,X2,X3,X4,X5),ext(X6,crossbar(X0,X1,X2,X3,X4,X5),X7,X8))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X5 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ( ext(X6,crossbar(X0,X1,X2,X3,X4,X5),X7,X8) = crossbar(X0,X1,X2,X3,X4,X5) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_481348,c_481227]) ).
tcf(c_548579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X1,crossbar(X0,X1,X2,X3,X4,X5),ext(X6,crossbar(X0,X1,X2,X3,X4,X5),X7,X8))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X1 )
| ( ext(X6,crossbar(X0,X1,X2,X3,X4,X5),X7,X8) = crossbar(X0,X1,X2,X3,X4,X5) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_481348,c_481228]) ).
tcf(c_549109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ext(X1,ext(X1,X0,X2,X3),X4,X5) = ext(X1,X0,X2,X3) )
| ~ s_t(X0,ext(X1,ext(X1,X0,X2,X3),X4,X5),X1) ),
inference(superposition,[status(thm)],[c_481345,c_481349]) ).
tcf(c_549110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ins(X2,X3,X0,X1),ext(ins(X2,X3,X0,X1),X1,X4,X5))
| ( X0 = X1 )
| ( ext(ins(X2,X3,X0,X1),X1,X4,X5) = X1 )
| ~ le(X0,X1,X2,X3)
| ~ s_t(X0,X1,ext(ins(X2,X3,X0,X1),X1,X4,X5)) ),
inference(superposition,[status(thm)],[c_480738,c_481349]) ).
tcf(c_549111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ins(X2,X3,X0,X1),ext(ins(X2,X3,X0,X1),X0,X4,X5))
| ( X0 = X1 )
| ( ext(ins(X2,X3,X0,X1),X0,X4,X5) = X0 )
| ~ le(X0,X1,X2,X3)
| ~ s_t(X0,X1,ext(ins(X2,X3,X0,X1),X0,X4,X5)) ),
inference(superposition,[status(thm)],[c_480739,c_481349]) ).
tcf(c_549112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ip(X1,X0,X2,X3,X4),ext(ip(X1,X0,X2,X3,X4),X0,X5,X6))
| ( ext(ip(X1,X0,X2,X3,X4),X0,X5,X6) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,ext(ip(X1,X0,X2,X3,X4),X0,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_480702,c_481349]) ).
tcf(c_549113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ip(X1,X2,X3,X4,X0),ext(ip(X1,X2,X3,X4,X0),X0,X5,X6))
| ( ext(ip(X1,X2,X3,X4,X0),X0,X5,X6) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ext(ip(X1,X2,X3,X4,X0),X0,X5,X6),X1) ),
inference(superposition,[status(thm)],[c_480703,c_481349]) ).
tcf(c_549115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(X0,X1,X2,X3),ext(ext(X0,X1,X2,X3),X0,X4,X5))
| ( X0 = X1 )
| ( ext(ext(X0,X1,X2,X3),X0,X4,X5) = X0 )
| ~ s_t(X0,X1,ext(ext(X0,X1,X2,X3),X0,X4,X5)) ),
inference(superposition,[status(thm)],[c_480599,c_481349]) ).
tcf(c_549116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,c63(X0,X1,X2),ext(c63(X0,X1,X2),X0,X3,X4))
| ( X0 = X1 )
| ( ext(c63(X0,X1,X2),X0,X3,X4) = X0 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,ext(c63(X0,X1,X2),X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481087,c_481349]) ).
tcf(c_549117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,c63(X2,X1,X0),ext(c63(X2,X1,X0),X0,X3,X4))
| ( X0 = X1 )
| ( ext(c63(X2,X1,X0),X0,X3,X4) = X0 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,ext(c63(X2,X1,X0),X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481148,c_481349]) ).
tcf(c_549119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ext(X0,X1,X2,X3),ext(ext(X0,X1,X2,X3),X1,X4,X5))
| ( X0 = X1 )
| ( ext(ext(X0,X1,X2,X3),X1,X4,X5) = X1 )
| ~ s_t(X0,X1,ext(ext(X0,X1,X2,X3),X1,X4,X5)) ),
inference(superposition,[status(thm)],[c_480646,c_481349]) ).
tcf(c_549120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X0,X1,X2),ext(c63(X0,X1,X2),X1,X3,X4))
| ( X0 = X1 )
| ( ext(c63(X0,X1,X2),X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,ext(c63(X0,X1,X2),X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481086,c_481349]) ).
tcf(c_549121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X2,X1,X0),ext(c63(X2,X1,X0),X1,X3,X4))
| ( X0 = X1 )
| ( ext(c63(X2,X1,X0),X1,X3,X4) = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,ext(c63(X2,X1,X0),X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481147,c_481349]) ).
tcf(c_549122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),ext(crossbar(X1,X2,X3,X4,X5,X0),X0,X6,X7))
| ( ext(crossbar(X1,X2,X3,X4,X5,X0),X0,X6,X7) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,ext(crossbar(X1,X2,X3,X4,X5,X0),X0,X6,X7),X3) ),
inference(superposition,[status(thm)],[c_480706,c_481349]) ).
tcf(c_549123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),ext(crossbar(X1,X0,X2,X3,X4,X5),X0,X6,X7))
| ( ext(crossbar(X1,X0,X2,X3,X4,X5),X0,X6,X7) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,ext(crossbar(X1,X0,X2,X3,X4,X5),X0,X6,X7),X4) ),
inference(superposition,[status(thm)],[c_480707,c_481349]) ).
tcf(c_549124,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(X1,X0,X2,X2) = X0 )
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_480032,c_481349]) ).
tcf(c_549219,plain,
( sameside(sK0,sK1,sK2)
| s_t(sK2,sK1,sK2)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_481403,c_481488]) ).
tcf(c_549221,plain,
( sameside(sK0,sK1,sK0)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_481489,c_481488]) ).
tcf(c_549222,plain,
( sameside(sK0,sK1,sK0)
| s_t(sK2,sK1,sK0)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_481411,c_481488]) ).
tcf(c_549254,plain,
( s_t(sK1,sK0,sK0)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_549221,c_236]) ).
tcf(c_549257,plain,
( s_col(sK0,sK1,sK0)
| s_t(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_549221,c_132]) ).
tcf(c_549260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X1 )
| ~ s_r(s(X0,ext(X0,X1,X2,X3)),X1,X0) ),
inference(superposition,[status(thm)],[c_548057,c_187]) ).
tcf(c_549261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X1,s(X1,ext(X1,X0,X2,X3)),X4)
| ( s(X1,ext(X1,X0,X2,X3)) = X0 )
| ~ s_r(X0,s(X1,ext(X1,X0,X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_548057,c_181]) ).
tcf(c_549262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X6,X7,X5)
| ( X6 = X7 )
| ( X0 = X4 )
| ( s(X0,ext(X0,X1,X2,X3)) = X1 )
| ~ s_col(X6,X7,X4)
| ~ s_col(X6,X7,X0)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X1,X5)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X1,X4) ),
inference(superposition,[status(thm)],[c_548057,c_152]) ).
tcf(c_549263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X4,X5)
| ( X0 = X4 )
| ( s(X0,ext(X0,X1,X2,X3)) = X1 )
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X1,X5)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X1,X4) ),
inference(superposition,[status(thm)],[c_548057,c_151]) ).
tcf(c_549264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(X0,ext(X0,X1,X2,X3)),X0,X4)
| ( s(X0,ext(X0,X1,X2,X3)) = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X1,X4) ),
inference(superposition,[status(thm)],[c_548057,c_148]) ).
tcf(c_549265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(X0,ext(X0,X1,X2,X3)),X1,X0)
| s_t(s(X0,ext(X0,X1,X2,X3)),X1,X0) ),
inference(superposition,[status(thm)],[c_548057,c_134]) ).
tcf(c_549271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(s(X0,ext(X0,X1,X2,X3)),X1,X4,X5,X6)
| ( X5 = X6 )
| ( X4 = X7 )
| ( X0 = X4 )
| ( s(X0,ext(X0,X1,X2,X3)) = X1 )
| ~ s_r(X0,X4,X7)
| ~ s_col(X5,X6,X7)
| ~ s_col(X5,X6,X4)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X1,X4) ),
inference(superposition,[status(thm)],[c_548057,c_200]) ).
tcf(c_549474,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,ext(ext(X0,X1,alpha,gamma),X1,X3,X4))
| s_t(X1,ext(ext(X0,X1,alpha,gamma),X1,X3,X4),X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481509,c_236]) ).
tcf(c_549475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ext(ext(X0,X1,alpha,gamma),X1,X4,X5),X1,X3)
| ( X4 = X5 )
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481509,c_137]) ).
tcf(c_549476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,X1,ext(ext(X0,X1,alpha,gamma),X1,X3,X4))
| ( X3 = X4 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481509,c_136]) ).
tcf(c_549477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(ext(X0,X1,alpha,gamma),X1,X3,X4),X1,X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481509,c_132]) ).
tcf(c_549479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X3 )
| ( X0 = X1 )
| ~ sameside(X0,X1,ext(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X4,X5)) ),
inference(superposition,[status(thm)],[c_481509,c_481300]) ).
tcf(c_549480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( X0 = X1 )
| ~ sameside(X0,X1,ext(X0,X1,alpha,gamma)) ),
inference(superposition,[status(thm)],[c_481509,c_481337]) ).
tcf(c_549481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( X0 = X1 )
| ~ sameside(X0,X1,s(X1,ext(ext(X0,X1,alpha,gamma),X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_481509,c_485953]) ).
tcf(c_549482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = X3 )
| ( X0 = X1 )
| ~ sameside(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X4)
| ~ sameside(X0,X1,c63(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X4)) ),
inference(superposition,[status(thm)],[c_481509,c_481308]) ).
tcf(c_549483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X4 )
| ( X0 = X1 )
| ~ sameside(X2,X1,ext(ext(X0,X1,alpha,gamma),X1,X3,X4))
| ~ sameside(X0,X1,c63(X2,X1,ext(ext(X0,X1,alpha,gamma),X1,X3,X4))) ),
inference(superposition,[status(thm)],[c_481509,c_481309]) ).
tcf(c_549484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X4 = X5 )
| ( X0 = X1 )
| ~ le(ext(ext(X0,X1,alpha,gamma),X1,X4,X5),X1,X2,X3)
| ~ sameside(X0,X1,ins(X2,X3,ext(ext(X0,X1,alpha,gamma),X1,X4,X5),X1)) ),
inference(superposition,[status(thm)],[c_481509,c_481307]) ).
tcf(c_549485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ext(X0,X1,alpha,gamma))
| ( X3 = X4 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X0,X1,alpha,gamma) = X1 )
| ( ext(ext(X0,X1,alpha,gamma),X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481509,c_481339]) ).
tcf(c_549486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( X0 = X1 )
| ~ sameside(X0,X1,s(s(X1,ext(ext(X0,X1,alpha,gamma),X1,X2,X3)),ext(ext(X0,X1,alpha,gamma),X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_481509,c_517634]) ).
tcf(c_549526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ext(X0,X1,alpha,gamma))
| ( X3 = X4 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(ext(X0,X1,alpha,gamma),X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_549485,c_86]) ).
tcf(c_549569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ~ sameside(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481510,c_137]) ).
tcf(c_549571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,ext(ext(X0,X1,alpha,gamma),X1,X2,X3))
| ( X2 = X3 )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_481510,c_132]) ).
tcf(c_549573,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK1,sK2)
| sameside(sK0,sK1,ext(ext(sK2,sK1,alpha,gamma),sK1,X0,X1))
| ( sK1 = sK2 )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_481510,c_481488]) ).
tcf(c_549574,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(ext(X1,ip(X0,X1,X2,X3,X4),alpha,gamma),ip(X0,X1,X2,X3,X4),X5,X6),ip(X0,X1,X2,X3,X4),X3)
| ( X5 = X6 )
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( ext(ext(X1,ip(X0,X1,X2,X3,X4),alpha,gamma),ip(X0,X1,X2,X3,X4),X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481510,c_481020]) ).
tcf(c_549575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(ext(X4,ip(X0,X1,X2,X3,X4),alpha,gamma),ip(X0,X1,X2,X3,X4),X5,X6),ip(X0,X1,X2,X3,X4),X0)
| ( X5 = X6 )
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( ext(ext(X4,ip(X0,X1,X2,X3,X4),alpha,gamma),ip(X0,X1,X2,X3,X4),X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481510,c_481021]) ).
tcf(c_549576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ext(ext(X1,crossbar(X0,X3,X4,X2,X5,X1),alpha,gamma),crossbar(X0,X3,X4,X2,X5,X1),X6,X7),crossbar(X0,X3,X4,X2,X5,X1),X4)
| ( X6 = X7 )
| ( crossbar(X0,X3,X4,X2,X5,X1) = X4 )
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ( ext(ext(X1,crossbar(X0,X3,X4,X2,X5,X1),alpha,gamma),crossbar(X0,X3,X4,X2,X5,X1),X6,X7) = crossbar(X0,X3,X4,X2,X5,X1) )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481510,c_481024]) ).
tcf(c_549577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ext(ext(X1,crossbar(X0,X1,X2,X4,X5,X3),alpha,gamma),crossbar(X0,X1,X2,X4,X5,X3),X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X5)
| ( X6 = X7 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( ext(ext(X1,crossbar(X0,X1,X2,X4,X5,X3),alpha,gamma),crossbar(X0,X1,X2,X4,X5,X3),X6,X7) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481510,c_481025]) ).
tcf(c_549578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(ext(ext(X0,X1,X2,X3),X1,alpha,gamma),X1,X4,X5),X1,X0)
| ( X4 = X5 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( ext(ext(ext(X0,X1,X2,X3),X1,alpha,gamma),X1,X4,X5) = X1 ) ),
inference(superposition,[status(thm)],[c_481510,c_481339]) ).
tcf(c_549632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,ext(ext(X0,X1,alpha,gamma),X1,X2,X3))
| s_t(X0,ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1)
| s_t(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X0)
| ( X2 = X3 )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_481511,c_222]) ).
tcf(c_549633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( X0 = X1 )
| ( ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X1 )
| ~ s_r(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X0) ),
inference(superposition,[status(thm)],[c_481511,c_187]) ).
tcf(c_549634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X1,ext(ext(X1,X0,alpha,gamma),X0,X2,X3),X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(ext(X1,X0,alpha,gamma),X0,X2,X3) = X0 )
| ~ s_r(X0,ext(ext(X1,X0,alpha,gamma),X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481511,c_181]) ).
tcf(c_549635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X6,X7,X5)
| ( X6 = X7 )
| ( X2 = X3 )
| ( X0 = X4 )
| ( X0 = X1 )
| ( ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X1 )
| ~ s_col(X6,X7,X4)
| ~ s_col(X6,X7,X0)
| ~ s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X5)
| ~ s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481511,c_152]) ).
tcf(c_549636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X4,X5)
| ( X2 = X3 )
| ( X0 = X4 )
| ( X0 = X1 )
| ( ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X1 )
| ~ s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X5)
| ~ s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481511,c_151]) ).
tcf(c_549637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X0,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X1 )
| ( ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X0 )
| ~ s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481511,c_148]) ).
tcf(c_549638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X0)
| s_t(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X0)
| ( X2 = X3 )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_481511,c_134]) ).
tcf(c_549639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X0,X1)
| ( X2 = X3 )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_481511,c_98]) ).
tcf(c_549640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X0)
| ( X2 = X3 )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_481511,c_97]) ).
tcf(c_549642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1)
| ( X2 = X3 )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_481511,c_95]) ).
tcf(c_549643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X0,ext(ext(X0,X1,alpha,gamma),X1,X2,X3))
| ( X2 = X3 )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_481511,c_94]) ).
tcf(c_549644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X4,X5,X6)
| ( X5 = X6 )
| ( X4 = X7 )
| ( X2 = X3 )
| ( X0 = X4 )
| ( X0 = X1 )
| ( ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X1 )
| ~ s_r(X0,X4,X7)
| ~ s_col(X5,X6,X7)
| ~ s_col(X5,X6,X4)
| ~ s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481511,c_200]) ).
tcf(c_549776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( s(X1,ext(X1,X0,X2,X3)) = X1 )
| ~ s_r(X0,X1,s(X1,ext(X1,X0,X2,X3))) ),
inference(superposition,[status(thm)],[c_548058,c_187]) ).
tcf(c_549777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(s(X0,ext(X0,X1,X3,X4)),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548058,c_181]) ).
tcf(c_549778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X7)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,ext(X2,X3,X4,X5)) = X6 )
| ~ s_col(X3,X2,X7)
| ~ s_col(X3,X2,X6)
| ~ s_col(X0,X1,X6)
| ~ s_col(X0,X1,s(X2,ext(X2,X3,X4,X5))) ),
inference(superposition,[status(thm)],[c_548058,c_152]) ).
tcf(c_549779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(s(X1,ext(X1,X0,X4,X5)),X2,X3)
| ( X0 = X1 )
| ( s(X1,ext(X1,X0,X4,X5)) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548058,c_151]) ).
tcf(c_549780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(X1,ext(X1,X0,X3,X4)),X2)
| ( X0 = X1 )
| ( s(X1,ext(X1,X0,X3,X4)) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548058,c_148]) ).
tcf(c_549787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(X1,X0,X4,X6,X7)
| ( X6 = X7 )
| ( X4 = X5 )
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X4 )
| ~ s_col(X6,X7,X5)
| ~ s_col(X6,X7,X4)
| ~ s_col(X1,X0,X4)
| ~ s_r(s(X0,ext(X0,X1,X2,X3)),X4,X5) ),
inference(superposition,[status(thm)],[c_548058,c_200]) ).
tcf(c_549821,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(s(X0,ext(X0,X1,X2,X3)),X0,X1,X5,X0,X4) = X0 )
| ~ s_t(X5,X0,X1)
| ~ s_t(s(X0,ext(X0,X1,X2,X3)),X4,X5) ),
inference(superposition,[status(thm)],[c_548076,c_480316]) ).
tcf(c_549822,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(s(X0,ext(X0,X1,X2,X3)),X0,X1,X4,X5,X1) = X1 )
| ~ s_t(X4,X5,X1)
| ~ s_t(s(X0,ext(X0,X1,X2,X3)),X1,X4) ),
inference(superposition,[status(thm)],[c_548076,c_480254]) ).
tcf(c_549823,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ( ext(s(X0,ext(X0,X1,X2,X3)),X0,X0,X1) = X1 ) ),
inference(superposition,[status(thm)],[c_548076,c_480013]) ).
tcf(c_549824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ( ext(s(X0,ext(X0,X1,X2,X3)),X0,X1,X0) = X1 ) ),
inference(superposition,[status(thm)],[c_548076,c_480011]) ).
tcf(c_549825,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(s(X1,ext(X1,X2,X3,X4)),X1,X2,X0,s(X1,ext(X1,X2,X3,X4))) = s(X1,ext(X1,X2,X3,X4)) )
| ~ s_t(X0,s(X1,ext(X1,X2,X3,X4)),X2) ),
inference(superposition,[status(thm)],[c_548076,c_479924]) ).
tcf(c_549826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(s(X0,ext(X0,X2,X3,X4)),X0,X2,X0,X1) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548076,c_479914]) ).
tcf(c_549827,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,s(X0,ext(X0,X1,X2,X3)),X0)
| ( s(X0,ext(X0,X1,X2,X3)) = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 ) ),
inference(superposition,[status(thm)],[c_548076,c_238]) ).
tcf(c_549828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,s(X0,ext(X0,X1,X2,X3)),X1)
| ( s(X0,ext(X0,X1,X2,X3)) = xb )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 ) ),
inference(superposition,[status(thm)],[c_548076,c_237]) ).
tcf(c_549833,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,s(X1,ext(X1,X2,X3,X4)),X2)
| s_t(s(X1,ext(X1,X2,X3,X4)),X0,X2)
| ( X1 = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548076,c_147]) ).
tcf(c_549834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,s(X1,ext(X1,X2,X3,X4)))
| ( X1 = X2 )
| ( s(X1,ext(X1,X2,X3,X4)) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548076,c_145]) ).
tcf(c_549835,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,s(X1,ext(X1,X2,X3,X4)))
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(X1,ext(X1,X2,X3,X4)) = X1 )
| ~ s_col(X0,X1,s(X1,ext(X1,X2,X3,X4))) ),
inference(superposition,[status(thm)],[c_548076,c_143]) ).
tcf(c_549836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ sameside(s(X0,ext(X0,X1,X2,X3)),X0,X1),
inference(superposition,[status(thm)],[c_548076,c_133]) ).
tcf(c_549837,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(X1,ext(X1,X2,X3,X4)),X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(X1,ext(X1,X2,X3,X4)) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548076,c_131]) ).
tcf(c_549838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,X1)
| ( X0 = X4 )
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ sameside(s(X0,ext(X0,X1,X2,X3)),X0,X4) ),
inference(superposition,[status(thm)],[c_548076,c_125]) ).
tcf(c_549839,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(X0,ext(X0,X1,X2,X3)),X4,X0)
| s_t(s(X0,ext(X0,X1,X2,X3)),X0,X4)
| ~ s_t(s(X0,ext(X0,X1,X2,X3)),X4,X1) ),
inference(superposition,[status(thm)],[c_548076,c_109]) ).
tcf(c_549840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X4,X1)
| s_t(X0,X1,X4)
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_t(s(X0,ext(X0,X1,X2,X3)),X0,X4) ),
inference(superposition,[status(thm)],[c_548076,c_108]) ).
tcf(c_549841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(X0,ext(X0,X1,X2,X3)),X4,X1)
| s_t(s(X0,ext(X0,X1,X2,X3)),X1,X4)
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_t(s(X0,ext(X0,X1,X2,X3)),X0,X4) ),
inference(superposition,[status(thm)],[c_548076,c_107]) ).
tcf(c_549842,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(X0,ext(X0,X1,X3,X4)),X0,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548076,c_81]) ).
tcf(c_549843,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(X0,ext(X0,X1,X2,X3)),X0,X4)
| ~ s_t(s(X0,ext(X0,X1,X2,X3)),X1,X4) ),
inference(superposition,[status(thm)],[c_548076,c_80]) ).
tcf(c_549844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(X0,ext(X0,X2,X3,X4)),X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548076,c_79]) ).
tcf(c_549845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(X0,ext(X0,X1,X3,X4)),X1,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548076,c_78]) ).
tcf(c_549846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X1,X4)
| ~ s_t(s(X0,ext(X0,X1,X2,X3)),X1,X4) ),
inference(superposition,[status(thm)],[c_548076,c_77]) ).
tcf(c_549847,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(X0,ext(X0,X2,X3,X4)),X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548076,c_76]) ).
tcf(c_549848,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_t(X0,s(X0,ext(X0,X1,X2,X3)),X1) ),
inference(superposition,[status(thm)],[c_548076,c_75]) ).
tcf(c_549850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X1,X0,s(X0,ext(X0,ext(X1,X0,X2,X3),X4,X5)))
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( s(X0,ext(X0,ext(X1,X0,X2,X3),X4,X5)) = X0 ) ),
inference(superposition,[status(thm)],[c_548076,c_481222]) ).
tcf(c_549851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( s(X0,ext(X0,ext(X1,X0,X2,X3),X4,X5)) = X0 )
| ( ext(s(X0,ext(X0,ext(X1,X0,X2,X3),X4,X5)),X0,X2,X3) = ext(X1,X0,X2,X3) ) ),
inference(superposition,[status(thm)],[c_548076,c_480012]) ).
tcf(c_549852,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X4),s(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X3,X5,X6)))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X3,X5,X6)) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548076,c_481223]) ).
tcf(c_549853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),s(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X0,X5,X6)))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X0,X5,X6)) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548076,c_481224]) ).
tcf(c_549854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,X1,s(X1,ext(X1,ins(X2,X3,X0,X1),X4,X5)))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ( s(X1,ext(X1,ins(X2,X3,X0,X1),X4,X5)) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_548076,c_481229]) ).
tcf(c_549855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,X1,s(X1,ext(X1,c63(X0,X1,X2),X3,X4)))
| ( X1 = X2 )
| ( s(X1,ext(X1,c63(X0,X1,X2),X3,X4)) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548076,c_543337]) ).
tcf(c_549856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,s(X1,ext(X1,c63(X0,X1,X2),X3,X4)))
| ( X0 = X1 )
| ( s(X1,ext(X1,c63(X0,X1,X2),X3,X4)) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548076,c_542847]) ).
tcf(c_549857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( s(X0,ext(X0,ins(X2,X3,X0,X1),X4,X5)) = X0 )
| ( ext(s(X0,ext(X0,ins(X2,X3,X0,X1),X4,X5)),X0,X2,X3) = ins(X2,X3,X0,X1) )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_548076,c_480795]) ).
tcf(c_549858,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X3,crossbar(X0,X1,X2,X4,X5,X3),s(crossbar(X0,X1,X2,X4,X5,X3),ext(crossbar(X0,X1,X2,X4,X5,X3),X2,X6,X7)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( s(crossbar(X0,X1,X2,X4,X5,X3),ext(crossbar(X0,X1,X2,X4,X5,X3),X2,X6,X7)) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548076,c_481227]) ).
tcf(c_549859,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X1,crossbar(X0,X1,X2,X4,X5,X3),s(crossbar(X0,X1,X2,X4,X5,X3),ext(crossbar(X0,X1,X2,X4,X5,X3),X5,X6,X7)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( s(crossbar(X0,X1,X2,X4,X5,X3),ext(crossbar(X0,X1,X2,X4,X5,X3),X5,X6,X7)) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548076,c_481228]) ).
tcf(c_550049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( X1 = X2 )
| ( ext(X0,X1,X2,X1) = X2 )
| ~ sameside(X2,X1,X3)
| ~ sameside(ext(X0,X1,X2,X1),X1,X3) ),
inference(superposition,[status(thm)],[c_53,c_481537]) ).
tcf(c_550052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( X0 = X1 )
| ( ins(X0,X1,X1,X2) = X0 )
| ~ sameside(X0,X1,X3)
| ~ le(X1,X2,X0,X1)
| ~ sameside(ins(X0,X1,X1,X2),X1,X3) ),
inference(superposition,[status(thm)],[c_111,c_481537]) ).
tcf(c_550054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( s(X0,X2) = X3 )
| ( s(X0,X2) = s(X0,X4) )
| ( s(X0,X1) = s(X0,X4) )
| ~ s_e(X2,X1,X4,X2)
| ~ sameside(s(X0,X4),s(X0,X2),X3)
| ~ sameside(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_169,c_481537]) ).
tcf(c_550064,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( s(X0,X1) = X1 )
| ( s(X0,X1) = X0 )
| ~ sameside(X1,X0,X2)
| ~ sameside(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_482505,c_481537]) ).
tcf(c_550065,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( X0 = X1 )
| ( s(X0,X1) = X1 )
| ~ sameside(X1,X0,X2)
| ~ sameside(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_482962,c_481537]) ).
tcf(c_550066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( ext(X0,X1,X1,X2) = X2 )
| ( ext(X0,X1,X1,X2) = X1 )
| ~ sameside(X2,X1,X3)
| ~ sameside(ext(X0,X1,X1,X2),X1,X3) ),
inference(superposition,[status(thm)],[c_488568,c_481537]) ).
tcf(c_550067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( X1 = X2 )
| ( ext(X0,X1,X1,X2) = X2 )
| ~ sameside(X2,X1,X3)
| ~ sameside(ext(X0,X1,X1,X2),X1,X3) ),
inference(superposition,[status(thm)],[c_479974,c_481537]) ).
tcf(c_550068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( X1 = X2 )
| ( X0 = X3 )
| ~ s_m(X0,X1,X3)
| ~ sameside(X3,X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486276,c_481537]) ).
tcf(c_550070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( ext(X0,X1,X2,X1) = X2 )
| ( ext(X0,X1,X2,X1) = X1 )
| ~ sameside(X2,X1,X3)
| ~ sameside(ext(X0,X1,X2,X1),X1,X3) ),
inference(superposition,[status(thm)],[c_488565,c_481537]) ).
tcf(c_550072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X2 )
| ( X0 = X3 )
| ( X0 = X1 )
| ~ s_m(X0,X1,X3)
| ~ sameside(X3,X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_498465,c_481537]) ).
tcf(c_550074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ( X0 = X1 )
| ( ins(X0,X1,X0,X2) = X1 )
| ~ sameside(X1,X0,X3)
| ~ le(X0,X2,X0,X1)
| ~ sameside(ins(X0,X1,X0,X2),X0,X3) ),
inference(superposition,[status(thm)],[c_480797,c_481537]) ).
tcf(c_550075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X5 )
| ( X1 = X4 )
| ( ext(X0,X1,X2,X3) = X5 )
| ~ sameside(X5,X1,X4)
| ~ s_e(X2,X3,X5,X1)
| ~ sameside(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_479951,c_481537]) ).
tcf(c_550076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X5 )
| ( X2 = X4 )
| ( ins(X0,X1,X2,X3) = X5 )
| ~ sameside(X5,X2,X4)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X0,X1,X5,X2)
| ~ sameside(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_480799,c_481537]) ).
tcf(c_550286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = X3 )
| ( X0 = X4 )
| ( ext(ext(X4,X0,alpha,gamma),X0,X2,X3) = X1 )
| ~ sameside(X1,X0,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_138,c_481538]) ).
tcf(c_550287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X4 )
| ( ext(X2,X1,X3,X4) = X1 )
| ( ext(X2,X1,X3,X4) = X0 )
| ~ s_e(X1,X0,X3,X4)
| ~ sameside(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_485798,c_481538]) ).
tcf(c_550288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X3 )
| ( X0 = X5 )
| ( X0 = X4 )
| ( ext(ext(X4,X0,alpha,gamma),X0,X2,X3) = X1 )
| ~ sameside(X4,X0,X5)
| ~ sameside(X1,X0,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481509,c_481538]) ).
tcf(c_550289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X5 = X6 )
| ( X3 = X4 )
| ( ext(X2,X1,X3,X4) = X1 )
| ( ext(X2,X1,X3,X4) = X0 )
| ( ext(ext(ext(X2,X1,X3,X4),X1,alpha,gamma),X1,X5,X6) = X1 )
| ~ s_e(X1,X0,X3,X4)
| ~ sameside(X0,X1,ext(ext(ext(X2,X1,X3,X4),X1,alpha,gamma),X1,X5,X6)) ),
inference(superposition,[status(thm)],[c_481510,c_481538]) ).
tcf(c_550290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X3 )
| ( X0 = X5 )
| ( X0 = X4 )
| ( ext(X5,X0,X2,X3) = X1 )
| ( ext(X5,X0,X2,X3) = X0 )
| ~ sameside(X1,X0,X4)
| ~ s_t(X4,X0,X5)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481338,c_481538]) ).
tcf(c_550341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( s(X0,X2) = X3 )
| ( s(X0,X2) = s(X0,X4) )
| ( s(X0,X1) = s(X0,X4) )
| ~ s_e(X2,X1,X2,X4)
| ~ sameside(s(X0,X4),s(X0,X2),X3)
| ~ sameside(s(X0,X1),s(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_169,c_481539]) ).
tcf(c_550343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( s(X0,X1) = X2 )
| ( s(X0,X1) = X1 )
| ~ s_r(X2,X0,X1)
| ~ sameside(X1,X2,X3)
| ~ sameside(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_249,c_481539]) ).
tcf(c_550363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ( ins(X0,X1,X0,X2) = X1 )
| ( ins(X0,X1,X0,X2) = X0 )
| ~ sameside(X1,X0,X3)
| ~ le(X0,X2,X0,X1)
| ~ sameside(ins(X0,X1,X0,X2),X0,X3) ),
inference(superposition,[status(thm)],[c_480800,c_481539]) ).
tcf(c_550364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X5 )
| ( X1 = X4 )
| ( ext(X0,X1,X2,X3) = X5 )
| ~ sameside(X5,X1,X4)
| ~ s_e(X2,X3,X1,X5)
| ~ sameside(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_479951,c_481539]) ).
tcf(c_550365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X2 = X5 )
| ( X2 = X4 )
| ( ins(X0,X1,X2,X3) = X5 )
| ~ sameside(X5,X2,X4)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X0,X1,X2,X5)
| ~ sameside(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_480799,c_481539]) ).
tcf(c_550461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X1 )
| ~ s_r(X0,X1,s(X0,ext(X0,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_548460,c_187]) ).
tcf(c_550462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(s(X1,ext(X1,X0,X3,X4)),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548460,c_181]) ).
tcf(c_550463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X7)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,ext(X2,X3,X4,X5)) = X6 )
| ~ s_col(X2,X3,X7)
| ~ s_col(X2,X3,X6)
| ~ s_col(X0,X1,X6)
| ~ s_col(X0,X1,s(X2,ext(X2,X3,X4,X5))) ),
inference(superposition,[status(thm)],[c_548460,c_152]) ).
tcf(c_550464,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(s(X0,ext(X0,X1,X4,X5)),X2,X3)
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X4,X5)) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548460,c_151]) ).
tcf(c_550465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(X0,ext(X0,X1,X3,X4)),X2)
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X3,X4)) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548460,c_148]) ).
tcf(c_550466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,s(X0,ext(X0,X1,X2,X3)))
| s_t(X0,X1,s(X0,ext(X0,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_548460,c_134]) ).
tcf(c_550472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(X0,X1,X4,X6,X7)
| ( X6 = X7 )
| ( X4 = X5 )
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X4 )
| ~ s_col(X6,X7,X5)
| ~ s_col(X6,X7,X4)
| ~ s_col(X0,X1,X4)
| ~ s_r(s(X0,ext(X0,X1,X2,X3)),X4,X5) ),
inference(superposition,[status(thm)],[c_548460,c_200]) ).
tcf(c_550509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_r(s(X0,ext(X0,X1,X2,X3)),X0,X1) ),
inference(superposition,[status(thm)],[c_548461,c_187]) ).
tcf(c_550510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X1,s(X0,ext(X0,X1,X2,X3)),X4)
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_r(X0,s(X0,ext(X0,X1,X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_548461,c_181]) ).
tcf(c_550511,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X6,X7,X5)
| ( X6 = X7 )
| ( X1 = X4 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(X6,X7,X4)
| ~ s_col(X6,X7,X1)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X0,X5)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X0,X4) ),
inference(superposition,[status(thm)],[c_548461,c_152]) ).
tcf(c_550512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X1,X4,X5)
| ( X1 = X4 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X0,X5)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X0,X4) ),
inference(superposition,[status(thm)],[c_548461,c_151]) ).
tcf(c_550513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(X0,ext(X0,X1,X2,X3)),X1,X4)
| ( s(X0,ext(X0,X1,X2,X3)) = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X0,X4) ),
inference(superposition,[status(thm)],[c_548461,c_148]) ).
tcf(c_550520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(s(X0,ext(X0,X1,X2,X3)),X0,X4,X5,X6)
| ( X5 = X6 )
| ( X4 = X7 )
| ( X1 = X4 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_r(X1,X4,X7)
| ~ s_col(X5,X6,X7)
| ~ s_col(X5,X6,X4)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X0,X4) ),
inference(superposition,[status(thm)],[c_548461,c_200]) ).
tcf(c_550568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X2 = X3 )
| ( ins(X2,X3,X1,X4) = X1 )
| ( ins(X2,X3,X1,X4) = X0 )
| ~ le(X1,X4,X2,X3)
| ~ s_e(X1,X0,X2,X3)
| ~ sameside(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_135,c_481541]) ).
tcf(c_550570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( ( X5 = X6 )
| ( X2 = X3 )
| ( ins(X2,X3,X1,X4) = X1 )
| ( ins(X2,X3,X1,X4) = X0 )
| ( ext(ext(ins(X2,X3,X1,X4),X1,alpha,gamma),X1,X5,X6) = X1 )
| ~ le(X1,X4,X2,X3)
| ~ s_e(X1,X0,X2,X3)
| ~ sameside(X0,X1,ext(ext(ins(X2,X3,X1,X4),X1,alpha,gamma),X1,X5,X6)) ),
inference(superposition,[status(thm)],[c_481510,c_481541]) ).
tcf(c_550571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ( X0 = X2 )
| ( ins(X0,X2,X0,X2) = X1 )
| ~ sameside(X2,X0,X3)
| ~ sameside(X1,X0,X3)
| ~ le(X0,X2,X0,X2)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_526282,c_481541]) ).
tcf(c_550572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X2 )
| ( X0 = X3 )
| ( ins(X1,X2,X0,X0) = X4 )
| ~ sameside(X4,X0,X3)
| ~ le(X0,X0,X1,X2)
| ~ s_e(X0,X4,X1,X2)
| ~ sameside(ext(X0,X0,X1,X2),X0,X3) ),
inference(superposition,[status(thm)],[c_523877,c_481541]) ).
tcf(c_550573,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ( X0 = X2 )
| ( ins(X0,X2,X0,X2) = X1 )
| ~ sameside(X2,X0,X3)
| ~ sameside(X1,X0,X3)
| ~ s_e(X0,X1,X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_550571,c_115]) ).
tcf(c_550586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X2 )
| ( X0 = X3 )
| ( ext(X0,X0,X1,X2) = X4 )
| ~ sameside(X4,X0,X3)
| ~ le(X0,X0,X1,X2)
| ~ s_e(X0,X4,X1,X2)
| ~ sameside(ext(X0,X0,X1,X2),X0,X3) ),
inference(light_normalisation,[status(thm)],[c_550572,c_523877]) ).
tcf(c_550587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X2 )
| ( X0 = X3 )
| ( ext(X0,X0,X1,X2) = X4 )
| ~ sameside(X4,X0,X3)
| ~ s_e(X0,X4,X1,X2)
| ~ sameside(ext(X0,X0,X1,X2),X0,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_550586,c_119]) ).
tcf(c_550608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,X2)
| le(X3,X4,X1,X0)
| le(X1,X2,X3,X4)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481575,c_480958]) ).
tcf(c_550609,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,X2)
| s_e(X0,X2,X0,X1)
| ~ sameside(X1,X0,X2)
| ~ le(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_481575,c_117]) ).
tcf(c_550610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X1,X4)
| le(X0,X4,X2,X3)
| ~ sameside(X1,X0,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481575,c_116]) ).
tcf(c_550612,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X2,X0)
| s_t(X1,X0,X2)
| ~ sameside(X2,X1,X0)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481575,c_141]) ).
tcf(c_550613,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,X0)
| s_t(X2,X0,X1)
| ~ sameside(X1,X2,X0)
| ~ s_col(X2,X0,X1)
| ~ le(X0,X1,X2,X1) ),
inference(superposition,[status(thm)],[c_481575,c_123]) ).
tcf(c_550617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X3,X4,X5,X6)
| s_t(X1,X0,ext(X2,X1,X3,X4))
| ~ s_e(X1,X0,X5,X6)
| ~ sameside(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481575,c_480912]) ).
tcf(c_550618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X2,X3,X5,X6)
| s_t(X1,X0,ins(X2,X3,X1,X4))
| ~ le(X1,X4,X2,X3)
| ~ s_e(X1,X0,X5,X6)
| ~ sameside(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_481575,c_480915]) ).
tcf(c_550667,plain,
( sameside(sK0,sK1,sK3)
| s_t(sK3,sK1,sK3)
| s_t(sK0,sK1,sK3) ),
inference(superposition,[status(thm)],[c_481403,c_481586]) ).
tcf(c_550669,plain,
( sameside(sK0,sK1,sK0)
| s_t(sK0,sK1,sK3) ),
inference(superposition,[status(thm)],[c_481587,c_481586]) ).
tcf(c_550670,plain,
( sameside(sK0,sK1,sK0)
| s_t(sK3,sK1,sK0)
| s_t(sK0,sK1,sK3) ),
inference(superposition,[status(thm)],[c_481412,c_481586]) ).
tcf(c_550673,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK1,sK3)
| sameside(sK0,sK1,ext(ext(sK3,sK1,alpha,gamma),sK1,X0,X1))
| ( sK1 = sK3 )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_481510,c_481586]) ).
tcf(c_550690,plain,
( s_t(sK1,sK0,sK0)
| s_t(sK0,sK1,sK3) ),
inference(superposition,[status(thm)],[c_550669,c_236]) ).
tcf(c_550693,plain,
( s_col(sK0,sK1,sK0)
| s_t(sK0,sK1,sK3) ),
inference(superposition,[status(thm)],[c_550669,c_132]) ).
tcf(c_550696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X1,ext(X1,X0,X2,X3)) = X1 )
| ( s(X1,ext(X1,X0,X2,X3)) = X0 )
| ~ s_r(X0,s(X1,ext(X1,X0,X2,X3)),X1) ),
inference(superposition,[status(thm)],[c_548462,c_187]) ).
tcf(c_550697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X0,X1,X4)
| ( s(X0,ext(X0,X1,X2,X3)) = X1 )
| ~ s_r(s(X0,ext(X0,X1,X2,X3)),X1,X4) ),
inference(superposition,[status(thm)],[c_548462,c_181]) ).
tcf(c_550698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X6,X7,X5)
| ( X6 = X7 )
| ( X1 = X4 )
| ( s(X1,ext(X1,X0,X2,X3)) = X0 )
| ~ s_col(X6,X7,X4)
| ~ s_col(X6,X7,X1)
| ~ s_col(X0,s(X1,ext(X1,X0,X2,X3)),X5)
| ~ s_col(X0,s(X1,ext(X1,X0,X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_548462,c_152]) ).
tcf(c_550699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X1,X4,X5)
| ( X1 = X4 )
| ( s(X1,ext(X1,X0,X2,X3)) = X0 )
| ~ s_col(X0,s(X1,ext(X1,X0,X2,X3)),X5)
| ~ s_col(X0,s(X1,ext(X1,X0,X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_548462,c_151]) ).
tcf(c_550700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( s(X1,ext(X1,X0,X2,X3)) = X0 )
| ~ s_col(X0,s(X1,ext(X1,X0,X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_548462,c_148]) ).
tcf(c_550701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,s(X1,ext(X1,X0,X2,X3)),X1)
| s_t(X0,s(X1,ext(X1,X0,X2,X3)),X1) ),
inference(superposition,[status(thm)],[c_548462,c_134]) ).
tcf(c_550707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(X0,s(X1,ext(X1,X0,X2,X3)),X4,X5,X6)
| ( X5 = X6 )
| ( X4 = X7 )
| ( X1 = X4 )
| ( s(X1,ext(X1,X0,X2,X3)) = X0 )
| ~ s_r(X1,X4,X7)
| ~ s_col(X5,X6,X7)
| ~ s_col(X5,X6,X4)
| ~ s_col(X0,s(X1,ext(X1,X0,X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_548462,c_200]) ).
tcf(c_550774,plain,
( sameside(sK1,sK2,sK1)
| s_t(sK1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_481601,c_481600]) ).
tcf(c_550777,plain,
! [X0: $i,X1: $i] :
( s_t(sK1,sK2,sK0)
| sameside(sK1,sK2,ext(ext(sK0,sK2,alpha,gamma),sK2,X0,X1))
| ( sK0 = sK2 )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_481510,c_481600]) ).
tcf(c_550797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,X1)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X1,X3,X3) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480032,c_481624]) ).
tcf(c_550798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,X2)
| s_t(X1,X0,ext(X2,X1,X3,X4))
| s_t(X1,ext(X2,X1,X3,X4),X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481624,c_236]) ).
tcf(c_550799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X5,X1,X4)
| sameside(X5,X1,X0)
| ( X1 = X5 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_col(X5,X1,X0)
| ~ sameside(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481624,c_137]) ).
tcf(c_550800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,X2)
| sameside(ext(X2,X1,X3,X4),X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481624,c_136]) ).
tcf(c_550801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,X2)
| s_col(X0,X1,ext(X2,X1,X3,X4))
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481624,c_132]) ).
tcf(c_550804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ext(ext(X0,X1,X2,X3),X1,X4,X5),X1,X0)
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( ext(ext(X0,X1,X2,X3),X1,X4,X5) = X1 )
| ~ s_col(ext(ext(X0,X1,X2,X3),X1,X4,X5),X1,X0) ),
inference(superposition,[status(thm)],[c_481624,c_481337]) ).
tcf(c_550805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(X0,ext(X1,X0,X2,X3)),X0,X1)
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( s(X0,ext(X1,X0,X2,X3)) = X0 )
| ~ s_col(s(X0,ext(X1,X0,X2,X3)),X0,X1) ),
inference(superposition,[status(thm)],[c_481624,c_486082]) ).
tcf(c_550806,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK1,sK2)
| sameside(sK2,sK1,X0)
| sameside(sK0,sK1,ext(X0,sK1,X1,X2))
| ( sK1 = sK2 )
| ( X0 = sK1 )
| ( ext(X0,sK1,X1,X2) = sK1 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_481624,c_481488]) ).
tcf(c_550807,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK1,sK3)
| sameside(sK3,sK1,X0)
| sameside(sK0,sK1,ext(X0,sK1,X1,X2))
| ( sK1 = sK3 )
| ( X0 = sK1 )
| ( ext(X0,sK1,X1,X2) = sK1 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_481624,c_481586]) ).
tcf(c_550808,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK1,sK2,sK0)
| sameside(sK0,sK2,X0)
| sameside(sK1,sK2,ext(X0,sK2,X1,X2))
| ( sK0 = sK2 )
| ( X0 = sK2 )
| ( ext(X0,sK2,X1,X2) = sK2 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_481624,c_481600]) ).
tcf(c_550809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X0,ip(X1,X0,X2,X3,X4),X5)
| s_t(ext(X5,ip(X1,X0,X2,X3,X4),X6,X7),ip(X1,X0,X2,X3,X4),X3)
| ( ip(X1,X0,X2,X3,X4) = X5 )
| ( ip(X1,X0,X2,X3,X4) = X3 )
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ( ext(X5,ip(X1,X0,X2,X3,X4),X6,X7) = ip(X1,X0,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_col(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_481624,c_481020]) ).
tcf(c_550810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X0,ip(X1,X2,X3,X4,X0),X5)
| s_t(ext(X5,ip(X1,X2,X3,X4,X0),X6,X7),ip(X1,X2,X3,X4,X0),X1)
| ( ip(X1,X2,X3,X4,X0) = X5 )
| ( ip(X1,X2,X3,X4,X0) = X1 )
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ( ext(X5,ip(X1,X2,X3,X4,X0),X6,X7) = ip(X1,X2,X3,X4,X0) )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_col(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_481624,c_481021]) ).
tcf(c_550811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X0,crossbar(X1,X2,X3,X4,X5,X0),X6)
| s_t(ext(X6,crossbar(X1,X2,X3,X4,X5,X0),X7,X8),crossbar(X1,X2,X3,X4,X5,X0),X3)
| ( crossbar(X1,X2,X3,X4,X5,X0) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X0) = X3 )
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ( ext(X6,crossbar(X1,X2,X3,X4,X5,X0),X7,X8) = crossbar(X1,X2,X3,X4,X5,X0) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_col(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_481624,c_481024]) ).
tcf(c_550812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X0,crossbar(X1,X0,X2,X3,X4,X5),X6)
| s_t(ext(X6,crossbar(X1,X0,X2,X3,X4,X5),X7,X8),crossbar(X1,X0,X2,X3,X4,X5),X4)
| ( crossbar(X1,X0,X2,X3,X4,X5) = X6 )
| ( crossbar(X1,X0,X2,X3,X4,X5) = X4 )
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ( ext(X6,crossbar(X1,X0,X2,X3,X4,X5),X7,X8) = crossbar(X1,X0,X2,X3,X4,X5) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_col(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_481624,c_481025]) ).
tcf(c_550813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(ext(X0,X1,X2,X3),X1,X4)
| ( X2 = X3 )
| ( X1 = X4 )
| ( ext(X4,X1,X6,X7) = X1 )
| ( ext(X0,X1,X2,X3) = X5 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_e(X1,X5,X2,X3)
| ~ sameside(X5,X1,ext(X4,X1,X6,X7))
| ~ s_col(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481624,c_481538]) ).
tcf(c_550814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ext(X0,X1,X2,X3),X1,X4)
| s_t(ext(X4,X1,X5,X6),X1,X0)
| ( X1 = X4 )
| ( X0 = X1 )
| ( ext(X4,X1,X5,X6) = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_col(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481624,c_481339]) ).
tcf(c_550815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(ins(X0,X1,X2,X3),X2,X4)
| ( X2 = X4 )
| ( X0 = X1 )
| ( ins(X0,X1,X2,X3) = X5 )
| ( ins(X0,X1,X2,X3) = X2 )
| ( ext(X4,X2,X6,X7) = X2 )
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X5,X0,X1)
| ~ sameside(X5,X2,ext(X4,X2,X6,X7))
| ~ s_col(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_481624,c_481541]) ).
tcf(c_550816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)),X0,X1)
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( s(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)) = X0 )
| ~ s_col(s(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)),X0,X1) ),
inference(superposition,[status(thm)],[c_481624,c_520064]) ).
tcf(c_550995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ext(X1,ip(X0,X1,X2,X3,X4),X5,X6),ip(X0,X1,X2,X3,X4),X3)
| sameside(ext(X1,ip(X0,X1,X2,X3,X4),X5,X6),ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( ext(X1,ip(X0,X1,X2,X3,X4),X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_484605,c_481625]) ).
tcf(c_550996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ext(ip(X0,X1,X2,X3,X4),X1,X5,X6),ip(X0,X1,X2,X3,X4),X3)
| sameside(ext(ip(X0,X1,X2,X3,X4),X1,X5,X6),ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( ext(ip(X0,X1,X2,X3,X4),X1,X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_484709,c_481625]) ).
tcf(c_550997,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(X1,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X3)
| sameside(s(X1,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(X1,ip(X0,X1,X2,X3,X4)) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485947,c_481625]) ).
tcf(c_550998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(ip(X0,X1,X2,X3,X4),X1),ip(X0,X1,X2,X3,X4),X3)
| sameside(s(ip(X0,X1,X2,X3,X4),X1),ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(ip(X0,X1,X2,X3,X4),X1) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486077,c_481625]) ).
tcf(c_550999,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ext(ext(X1,ip(X0,X1,X2,X3,X4),alpha,gamma),ip(X0,X1,X2,X3,X4),X5,X6),ip(X0,X1,X2,X3,X4),X3)
| sameside(ext(ext(X1,ip(X0,X1,X2,X3,X4),alpha,gamma),ip(X0,X1,X2,X3,X4),X5,X6),ip(X0,X1,X2,X3,X4),X1)
| ( X5 = X6 )
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( ext(ext(X1,ip(X0,X1,X2,X3,X4),alpha,gamma),ip(X0,X1,X2,X3,X4),X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481511,c_481625]) ).
tcf(c_551000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(s(X1,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X3)
| sameside(s(s(X1,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(s(X1,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517628,c_481625]) ).
tcf(c_551001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(s(ip(X0,X1,X2,X3,X4),X1),X1),ip(X0,X1,X2,X3,X4),X3)
| sameside(s(s(ip(X0,X1,X2,X3,X4),X1),X1),ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(s(ip(X0,X1,X2,X3,X4),X1),X1) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_519198,c_481625]) ).
tcf(c_551002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ext(ip(X0,X1,X2,X3,X4),s(X1,ip(X0,X1,X2,X3,X4)),X5,X6),ip(X0,X1,X2,X3,X4),X3)
| sameside(ext(ip(X0,X1,X2,X3,X4),s(X1,ip(X0,X1,X2,X3,X4)),X5,X6),ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( ext(ip(X0,X1,X2,X3,X4),s(X1,ip(X0,X1,X2,X3,X4)),X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523154,c_481625]) ).
tcf(c_551003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(s(s(X1,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X3)
| sameside(s(s(s(X1,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(s(s(X1,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529294,c_481625]) ).
tcf(c_551004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ext(X1,s(ip(X0,X1,X2,X3,X4),X1),X5,X6),ip(X0,X1,X2,X3,X4),X3)
| sameside(ext(X1,s(ip(X0,X1,X2,X3,X4),X1),X5,X6),ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( ext(X1,s(ip(X0,X1,X2,X3,X4),X1),X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_535611,c_481625]) ).
tcf(c_551005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(s(s(ip(X0,X1,X2,X3,X4),X1),X1),X1),ip(X0,X1,X2,X3,X4),X3)
| sameside(s(s(s(ip(X0,X1,X2,X3,X4),X1),X1),X1),ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(s(s(ip(X0,X1,X2,X3,X4),X1),X1),X1) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_543640,c_481625]) ).
tcf(c_551006,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(s(X1,ext(X1,ip(X0,X1,X2,X3,X4),X5,X6)),ip(X0,X1,X2,X3,X4),X3)
| sameside(s(X1,ext(X1,ip(X0,X1,X2,X3,X4),X5,X6)),ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(X1,ext(X1,ip(X0,X1,X2,X3,X4),X5,X6)) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548057,c_481625]) ).
tcf(c_551007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(s(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X1,X5,X6)),ip(X0,X1,X2,X3,X4),X3)
| sameside(s(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X1,X5,X6)),ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X1,X5,X6)) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548461,c_481625]) ).
tcf(c_551008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(s(ext(ip(X0,X1,X2,X3,X4),X1,X5,X6),ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X3)
| sameside(s(ext(ip(X0,X1,X2,X3,X4),X1,X5,X6),ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(ext(ip(X0,X1,X2,X3,X4),X1,X5,X6),ip(X0,X1,X2,X3,X4)) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499648,c_481625]) ).
tcf(c_551009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(s(ext(X1,ip(X0,X1,X2,X3,X4),X5,X6),X1),ip(X0,X1,X2,X3,X4),X3)
| sameside(s(ext(X1,ip(X0,X1,X2,X3,X4),X5,X6),X1),ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(ext(X1,ip(X0,X1,X2,X3,X4),X5,X6),X1) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_503148,c_481625]) ).
tcf(c_551010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(ip(X0,X1,X2,X3,X4),X1),ip(X0,X1,X2,X3,X4),X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(ip(X0,X1,X2,X3,X4),X1) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_550998,c_486082]) ).
tcf(c_551024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(s(ip(X0,X1,X2,X3,X4),X1),X1),ip(X0,X1,X2,X3,X4),X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(s(ip(X0,X1,X2,X3,X4),X1),X1) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_551001,c_520064]) ).
tcf(c_551038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ext(X1,ip(X0,X1,X2,X3,X4),X5,X6),ip(X0,X1,X2,X3,X4),X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( ext(X1,ip(X0,X1,X2,X3,X4),X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_550995,c_481337]) ).
tcf(c_551252,plain,
( s_t(sK2,sK1,sK1)
| s_t(sK1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_550774,c_236]) ).
tcf(c_551255,plain,
( s_col(sK1,sK2,sK1)
| s_t(sK1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_550774,c_132]) ).
tcf(c_551276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X0,s(ext(X1,X0,X2,X3),X0),X1) ),
inference(superposition,[status(thm)],[c_481348,c_485965]) ).
tcf(c_551277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,s(X0,ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X0 )
| ~ le(X0,X1,X2,X3)
| ~ s_t(X0,X1,s(X0,ins(X2,X3,X0,X1))) ),
inference(superposition,[status(thm)],[c_480739,c_485965]) ).
tcf(c_551278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,s(X1,ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3)
| ~ s_t(X0,X1,s(X1,ins(X2,X3,X0,X1))) ),
inference(superposition,[status(thm)],[c_480738,c_485965]) ).
tcf(c_551279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X1 )
| ~ s_t(X0,X1,s(ext(X1,X0,X2,X3),X1)) ),
inference(superposition,[status(thm)],[c_481346,c_485965]) ).
tcf(c_551280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X0,X1,s(ext(X1,X0,X2,X3),X0)) ),
inference(superposition,[status(thm)],[c_481343,c_485965]) ).
tcf(c_551281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,s(X0,ip(X1,X0,X2,X3,X4)),ip(X1,X0,X2,X3,X4))
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,s(X0,ip(X1,X0,X2,X3,X4)),X3) ),
inference(superposition,[status(thm)],[c_480702,c_485965]) ).
tcf(c_551282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X2,X0,X3,X1,X4) = X0 )
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X4,X3)
| ~ s_t(X0,X1,s(X0,ip(X2,X0,X3,X1,X4))) ),
inference(superposition,[status(thm)],[c_480205,c_485965]) ).
tcf(c_551283,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X2,X0,X3,X1,X4) = X1 )
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X4,X3)
| ~ s_t(X0,X1,s(ip(X2,X0,X3,X1,X4),X1)) ),
inference(superposition,[status(thm)],[c_480135,c_485965]) ).
tcf(c_551284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,s(X0,ip(X1,X2,X3,X4,X0)),ip(X1,X2,X3,X4,X0))
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,s(X0,ip(X1,X2,X3,X4,X0)),X1) ),
inference(superposition,[status(thm)],[c_480703,c_485965]) ).
tcf(c_551285,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X1,X2,X3,X4,X0) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,s(X0,ip(X1,X2,X3,X4,X0))) ),
inference(superposition,[status(thm)],[c_480206,c_485965]) ).
tcf(c_551286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X1,X2,X3,X4,X0) = X1 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,s(ip(X1,X2,X3,X4,X0),X1)) ),
inference(superposition,[status(thm)],[c_480136,c_485965]) ).
tcf(c_551287,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,s(X0,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_t(X0,X1,s(X0,ext(X0,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_480599,c_485965]) ).
tcf(c_551288,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,s(X0,c63(X0,X1,X2)),c63(X0,X1,X2))
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X0 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,s(X0,c63(X0,X1,X2))) ),
inference(superposition,[status(thm)],[c_481087,c_485965]) ).
tcf(c_551289,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,s(X0,c63(X2,X1,X0)),c63(X2,X1,X0))
| ( X0 = X1 )
| ( c63(X2,X1,X0) = X0 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,s(X0,c63(X2,X1,X0))) ),
inference(superposition,[status(thm)],[c_481148,c_485965]) ).
tcf(c_551290,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,s(X1,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X0,X1,s(X1,ext(X0,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_480646,c_485965]) ).
tcf(c_551291,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,s(X1,c63(X0,X1,X2)),c63(X0,X1,X2))
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,s(X1,c63(X0,X1,X2))) ),
inference(superposition,[status(thm)],[c_481086,c_485965]) ).
tcf(c_551292,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,s(X1,c63(X2,X1,X0)),c63(X2,X1,X0))
| ( X0 = X1 )
| ( c63(X2,X1,X0) = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,s(X1,c63(X2,X1,X0))) ),
inference(superposition,[status(thm)],[c_481147,c_485965]) ).
tcf(c_551293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,s(X0,crossbar(X1,X2,X3,X4,X5,X0)),crossbar(X1,X2,X3,X4,X5,X0))
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(X0,s(X0,crossbar(X1,X2,X3,X4,X5,X0)),X3) ),
inference(superposition,[status(thm)],[c_480706,c_485965]) ).
tcf(c_551294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X2,X3,X1,X4,X5,X0) = X0 )
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,X1,s(X0,crossbar(X2,X3,X1,X4,X5,X0))) ),
inference(superposition,[status(thm)],[c_480256,c_485965]) ).
tcf(c_551295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X2,X3,X1,X4,X5,X0) = X1 )
| ~ s_t(X4,X5,X1)
| ~ s_t(X2,X3,X1)
| ~ s_t(X2,X0,X4)
| ~ s_t(X0,X1,s(crossbar(X2,X3,X1,X4,X5,X0),X1)) ),
inference(superposition,[status(thm)],[c_480259,c_485965]) ).
tcf(c_551296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X2,X0,X3,X4,X1,X5) = X0 )
| ~ s_t(X4,X1,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,s(X0,crossbar(X2,X0,X3,X4,X1,X5))) ),
inference(superposition,[status(thm)],[c_480318,c_485965]) ).
tcf(c_551297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X2,X0,X3,X4,X1,X5) = X1 )
| ~ s_t(X4,X1,X3)
| ~ s_t(X2,X5,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,X1,s(crossbar(X2,X0,X3,X4,X1,X5),X1)) ),
inference(superposition,[status(thm)],[c_480321,c_485965]) ).
tcf(c_551298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,s(X0,crossbar(X1,X0,X2,X3,X4,X5)),crossbar(X1,X0,X2,X3,X4,X5))
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,s(X0,crossbar(X1,X0,X2,X3,X4,X5)),X4) ),
inference(superposition,[status(thm)],[c_480707,c_485965]) ).
tcf(c_551479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),X4)
| sameside(X4,ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_100,c_481626]) ).
tcf(c_551480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ext(X4,ip(X0,X1,X2,X3,X4),X5,X6),ip(X0,X1,X2,X3,X4),X4)
| sameside(ext(X4,ip(X0,X1,X2,X3,X4),X5,X6),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( ext(X4,ip(X0,X1,X2,X3,X4),X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_484605,c_481626]) ).
tcf(c_551481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ext(ip(X0,X1,X2,X3,X4),X4,X5,X6),ip(X0,X1,X2,X3,X4),X4)
| sameside(ext(ip(X0,X1,X2,X3,X4),X4,X5,X6),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( ext(ip(X0,X1,X2,X3,X4),X4,X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_484709,c_481626]) ).
tcf(c_551482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(X4,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X4)
| sameside(s(X4,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(X4,ip(X0,X1,X2,X3,X4)) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485947,c_481626]) ).
tcf(c_551483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(ip(X0,X1,X2,X3,X4),X4),ip(X0,X1,X2,X3,X4),X4)
| sameside(s(ip(X0,X1,X2,X3,X4),X4),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(ip(X0,X1,X2,X3,X4),X4) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486077,c_481626]) ).
tcf(c_551484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ext(ext(X4,ip(X0,X1,X2,X3,X4),alpha,gamma),ip(X0,X1,X2,X3,X4),X5,X6),ip(X0,X1,X2,X3,X4),X4)
| sameside(ext(ext(X4,ip(X0,X1,X2,X3,X4),alpha,gamma),ip(X0,X1,X2,X3,X4),X5,X6),ip(X0,X1,X2,X3,X4),X0)
| ( X5 = X6 )
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( ext(ext(X4,ip(X0,X1,X2,X3,X4),alpha,gamma),ip(X0,X1,X2,X3,X4),X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481511,c_481626]) ).
tcf(c_551485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(s(X4,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X4)
| sameside(s(s(X4,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(s(X4,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517628,c_481626]) ).
tcf(c_551486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(s(ip(X0,X1,X2,X3,X4),X4),X4),ip(X0,X1,X2,X3,X4),X4)
| sameside(s(s(ip(X0,X1,X2,X3,X4),X4),X4),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(s(ip(X0,X1,X2,X3,X4),X4),X4) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_519198,c_481626]) ).
tcf(c_551487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ext(ip(X0,X1,X2,X3,X4),s(X4,ip(X0,X1,X2,X3,X4)),X5,X6),ip(X0,X1,X2,X3,X4),X4)
| sameside(ext(ip(X0,X1,X2,X3,X4),s(X4,ip(X0,X1,X2,X3,X4)),X5,X6),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( ext(ip(X0,X1,X2,X3,X4),s(X4,ip(X0,X1,X2,X3,X4)),X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523154,c_481626]) ).
tcf(c_551488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(s(s(X4,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X4)
| sameside(s(s(s(X4,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(s(s(X4,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4)) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529294,c_481626]) ).
tcf(c_551489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ext(X4,s(ip(X0,X1,X2,X3,X4),X4),X5,X6),ip(X0,X1,X2,X3,X4),X4)
| sameside(ext(X4,s(ip(X0,X1,X2,X3,X4),X4),X5,X6),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( ext(X4,s(ip(X0,X1,X2,X3,X4),X4),X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_535611,c_481626]) ).
tcf(c_551490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(s(s(ip(X0,X1,X2,X3,X4),X4),X4),X4),ip(X0,X1,X2,X3,X4),X4)
| sameside(s(s(s(ip(X0,X1,X2,X3,X4),X4),X4),X4),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(s(s(ip(X0,X1,X2,X3,X4),X4),X4),X4) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_543640,c_481626]) ).
tcf(c_551491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(s(X4,ext(X4,ip(X0,X1,X2,X3,X4),X5,X6)),ip(X0,X1,X2,X3,X4),X4)
| sameside(s(X4,ext(X4,ip(X0,X1,X2,X3,X4),X5,X6)),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(X4,ext(X4,ip(X0,X1,X2,X3,X4),X5,X6)) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548057,c_481626]) ).
tcf(c_551492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(s(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X4,X5,X6)),ip(X0,X1,X2,X3,X4),X4)
| sameside(s(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X4,X5,X6)),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X4,X5,X6)) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548461,c_481626]) ).
tcf(c_551493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(s(ext(ip(X0,X1,X2,X3,X4),X4,X5,X6),ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X4)
| sameside(s(ext(ip(X0,X1,X2,X3,X4),X4,X5,X6),ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(ext(ip(X0,X1,X2,X3,X4),X4,X5,X6),ip(X0,X1,X2,X3,X4)) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499648,c_481626]) ).
tcf(c_551494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(s(ext(X4,ip(X0,X1,X2,X3,X4),X5,X6),X4),ip(X0,X1,X2,X3,X4),X4)
| sameside(s(ext(X4,ip(X0,X1,X2,X3,X4),X5,X6),X4),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(ext(X4,ip(X0,X1,X2,X3,X4),X5,X6),X4) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_503148,c_481626]) ).
tcf(c_551501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(ip(X0,X1,X2,X3,X4),X4),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(ip(X0,X1,X2,X3,X4),X4) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_551483,c_486082]) ).
tcf(c_551515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(s(ip(X0,X1,X2,X3,X4),X4),X4),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(s(ip(X0,X1,X2,X3,X4),X4),X4) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_551486,c_520064]) ).
tcf(c_551529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ext(X4,ip(X0,X1,X2,X3,X4),X5,X6),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( ext(X4,ip(X0,X1,X2,X3,X4),X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_551480,c_481337]) ).
tcf(c_551626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,crossbar(X0,X1,X2,X4,X5,X3),X3)
| sameside(X3,crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_100,c_481629]) ).
tcf(c_551627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(ext(X3,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X3)
| sameside(ext(X3,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( ext(X3,crossbar(X0,X1,X2,X4,X5,X3),X6,X7) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_484605,c_481629]) ).
tcf(c_551628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(ext(crossbar(X0,X1,X2,X4,X5,X3),X3,X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X3)
| sameside(ext(crossbar(X0,X1,X2,X4,X5,X3),X3,X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( ext(crossbar(X0,X1,X2,X4,X5,X3),X3,X6,X7) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_484709,c_481629]) ).
tcf(c_551629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(X3,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X3)
| sameside(s(X3,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( s(X3,crossbar(X0,X1,X2,X4,X5,X3)) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485947,c_481629]) ).
tcf(c_551630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(crossbar(X0,X1,X2,X4,X5,X3),X3),crossbar(X0,X1,X2,X4,X5,X3),X3)
| sameside(s(crossbar(X0,X1,X2,X4,X5,X3),X3),crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( s(crossbar(X0,X1,X2,X4,X5,X3),X3) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486077,c_481629]) ).
tcf(c_551631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(ext(ext(X1,crossbar(X0,X3,X4,X2,X5,X1),alpha,gamma),crossbar(X0,X3,X4,X2,X5,X1),X6,X7),crossbar(X0,X3,X4,X2,X5,X1),X4)
| sameside(ext(ext(X1,crossbar(X0,X3,X4,X2,X5,X1),alpha,gamma),crossbar(X0,X3,X4,X2,X5,X1),X6,X7),crossbar(X0,X3,X4,X2,X5,X1),X1)
| ( X6 = X7 )
| ( crossbar(X0,X3,X4,X2,X5,X1) = X4 )
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ( ext(ext(X1,crossbar(X0,X3,X4,X2,X5,X1),alpha,gamma),crossbar(X0,X3,X4,X2,X5,X1),X6,X7) = crossbar(X0,X3,X4,X2,X5,X1) )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481511,c_481629]) ).
tcf(c_551632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(s(X3,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X3)
| sameside(s(s(X3,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( s(s(X3,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517628,c_481629]) ).
tcf(c_551633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(s(crossbar(X0,X1,X2,X4,X5,X3),X3),X3),crossbar(X0,X1,X2,X4,X5,X3),X3)
| sameside(s(s(crossbar(X0,X1,X2,X4,X5,X3),X3),X3),crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( s(s(crossbar(X0,X1,X2,X4,X5,X3),X3),X3) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_519198,c_481629]) ).
tcf(c_551634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(ext(crossbar(X0,X1,X2,X4,X5,X3),s(X3,crossbar(X0,X1,X2,X4,X5,X3)),X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X3)
| sameside(ext(crossbar(X0,X1,X2,X4,X5,X3),s(X3,crossbar(X0,X1,X2,X4,X5,X3)),X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( ext(crossbar(X0,X1,X2,X4,X5,X3),s(X3,crossbar(X0,X1,X2,X4,X5,X3)),X6,X7) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523154,c_481629]) ).
tcf(c_551635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(s(s(X3,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X3)
| sameside(s(s(s(X3,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( s(s(s(X3,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529294,c_481629]) ).
tcf(c_551636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(ext(X3,s(crossbar(X0,X1,X2,X4,X5,X3),X3),X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X3)
| sameside(ext(X3,s(crossbar(X0,X1,X2,X4,X5,X3),X3),X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( ext(X3,s(crossbar(X0,X1,X2,X4,X5,X3),X3),X6,X7) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_535611,c_481629]) ).
tcf(c_551637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(s(s(crossbar(X0,X1,X2,X4,X5,X3),X3),X3),X3),crossbar(X0,X1,X2,X4,X5,X3),X3)
| sameside(s(s(s(crossbar(X0,X1,X2,X4,X5,X3),X3),X3),X3),crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( s(s(s(crossbar(X0,X1,X2,X4,X5,X3),X3),X3),X3) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_543640,c_481629]) ).
tcf(c_551638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(s(X3,ext(X3,crossbar(X0,X1,X2,X4,X5,X3),X6,X7)),crossbar(X0,X1,X2,X4,X5,X3),X3)
| sameside(s(X3,ext(X3,crossbar(X0,X1,X2,X4,X5,X3),X6,X7)),crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( s(X3,ext(X3,crossbar(X0,X1,X2,X4,X5,X3),X6,X7)) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548057,c_481629]) ).
tcf(c_551639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(s(crossbar(X0,X1,X2,X4,X5,X3),ext(crossbar(X0,X1,X2,X4,X5,X3),X3,X6,X7)),crossbar(X0,X1,X2,X4,X5,X3),X3)
| sameside(s(crossbar(X0,X1,X2,X4,X5,X3),ext(crossbar(X0,X1,X2,X4,X5,X3),X3,X6,X7)),crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( s(crossbar(X0,X1,X2,X4,X5,X3),ext(crossbar(X0,X1,X2,X4,X5,X3),X3,X6,X7)) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548461,c_481629]) ).
tcf(c_551640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(s(ext(crossbar(X0,X1,X2,X4,X5,X3),X3,X6,X7),crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X3)
| sameside(s(ext(crossbar(X0,X1,X2,X4,X5,X3),X3,X6,X7),crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( s(ext(crossbar(X0,X1,X2,X4,X5,X3),X3,X6,X7),crossbar(X0,X1,X2,X4,X5,X3)) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499648,c_481629]) ).
tcf(c_551641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(s(ext(X3,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X3),crossbar(X0,X1,X2,X4,X5,X3),X3)
| sameside(s(ext(X3,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X3),crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( s(ext(X3,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X3) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_503148,c_481629]) ).
tcf(c_551649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(crossbar(X0,X1,X2,X4,X5,X3),X3),crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( s(crossbar(X0,X1,X2,X4,X5,X3),X3) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_551630,c_486082]) ).
tcf(c_551665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(s(crossbar(X0,X1,X2,X4,X5,X3),X3),X3),crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( s(s(crossbar(X0,X1,X2,X4,X5,X3),X3),X3) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_551633,c_520064]) ).
tcf(c_551681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(ext(X3,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( ext(X3,crossbar(X0,X1,X2,X4,X5,X3),X6,X7) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_551627,c_481337]) ).
tcf(c_551929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(ext(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X5)
| sameside(ext(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( ext(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,X7) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_484605,c_481630]) ).
tcf(c_551930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(ext(crossbar(X0,X1,X2,X4,X5,X3),X1,X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X5)
| sameside(ext(crossbar(X0,X1,X2,X4,X5,X3),X1,X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( ext(crossbar(X0,X1,X2,X4,X5,X3),X1,X6,X7) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_484709,c_481630]) ).
tcf(c_551931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(X1,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X5)
| sameside(s(X1,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( s(X1,crossbar(X0,X1,X2,X4,X5,X3)) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485947,c_481630]) ).
tcf(c_551932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(crossbar(X0,X1,X2,X4,X5,X3),X1),crossbar(X0,X1,X2,X4,X5,X3),X5)
| sameside(s(crossbar(X0,X1,X2,X4,X5,X3),X1),crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( s(crossbar(X0,X1,X2,X4,X5,X3),X1) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486077,c_481630]) ).
tcf(c_551933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(ext(ext(X1,crossbar(X0,X1,X2,X4,X5,X3),alpha,gamma),crossbar(X0,X1,X2,X4,X5,X3),X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X5)
| sameside(ext(ext(X1,crossbar(X0,X1,X2,X4,X5,X3),alpha,gamma),crossbar(X0,X1,X2,X4,X5,X3),X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( X6 = X7 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( ext(ext(X1,crossbar(X0,X1,X2,X4,X5,X3),alpha,gamma),crossbar(X0,X1,X2,X4,X5,X3),X6,X7) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481511,c_481630]) ).
tcf(c_551934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(s(X1,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X5)
| sameside(s(s(X1,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( s(s(X1,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517628,c_481630]) ).
tcf(c_551935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(s(crossbar(X0,X1,X2,X4,X5,X3),X1),X1),crossbar(X0,X1,X2,X4,X5,X3),X5)
| sameside(s(s(crossbar(X0,X1,X2,X4,X5,X3),X1),X1),crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( s(s(crossbar(X0,X1,X2,X4,X5,X3),X1),X1) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_519198,c_481630]) ).
tcf(c_551936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(ext(crossbar(X0,X1,X2,X4,X5,X3),s(X1,crossbar(X0,X1,X2,X4,X5,X3)),X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X5)
| sameside(ext(crossbar(X0,X1,X2,X4,X5,X3),s(X1,crossbar(X0,X1,X2,X4,X5,X3)),X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( ext(crossbar(X0,X1,X2,X4,X5,X3),s(X1,crossbar(X0,X1,X2,X4,X5,X3)),X6,X7) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523154,c_481630]) ).
tcf(c_551937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(s(s(X1,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X5)
| sameside(s(s(s(X1,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( s(s(s(X1,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3)) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529294,c_481630]) ).
tcf(c_551938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(ext(X1,s(crossbar(X0,X1,X2,X4,X5,X3),X1),X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X5)
| sameside(ext(X1,s(crossbar(X0,X1,X2,X4,X5,X3),X1),X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( ext(X1,s(crossbar(X0,X1,X2,X4,X5,X3),X1),X6,X7) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_535611,c_481630]) ).
tcf(c_551939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(s(s(crossbar(X0,X1,X2,X4,X5,X3),X1),X1),X1),crossbar(X0,X1,X2,X4,X5,X3),X5)
| sameside(s(s(s(crossbar(X0,X1,X2,X4,X5,X3),X1),X1),X1),crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( s(s(s(crossbar(X0,X1,X2,X4,X5,X3),X1),X1),X1) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_543640,c_481630]) ).
tcf(c_551940,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(s(X1,ext(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,X7)),crossbar(X0,X1,X2,X4,X5,X3),X5)
| sameside(s(X1,ext(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,X7)),crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( s(X1,ext(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,X7)) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548057,c_481630]) ).
tcf(c_551941,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(s(crossbar(X0,X1,X2,X4,X5,X3),ext(crossbar(X0,X1,X2,X4,X5,X3),X1,X6,X7)),crossbar(X0,X1,X2,X4,X5,X3),X5)
| sameside(s(crossbar(X0,X1,X2,X4,X5,X3),ext(crossbar(X0,X1,X2,X4,X5,X3),X1,X6,X7)),crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( s(crossbar(X0,X1,X2,X4,X5,X3),ext(crossbar(X0,X1,X2,X4,X5,X3),X1,X6,X7)) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548461,c_481630]) ).
tcf(c_551942,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(s(ext(crossbar(X0,X1,X2,X4,X5,X3),X1,X6,X7),crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X5)
| sameside(s(ext(crossbar(X0,X1,X2,X4,X5,X3),X1,X6,X7),crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( s(ext(crossbar(X0,X1,X2,X4,X5,X3),X1,X6,X7),crossbar(X0,X1,X2,X4,X5,X3)) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499648,c_481630]) ).
tcf(c_551943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(s(ext(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X1),crossbar(X0,X1,X2,X4,X5,X3),X5)
| sameside(s(ext(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X1),crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( s(ext(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X1) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_503148,c_481630]) ).
tcf(c_551944,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(crossbar(X0,X1,X2,X4,X5,X3),X1),crossbar(X0,X1,X2,X4,X5,X3),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( s(crossbar(X0,X1,X2,X4,X5,X3),X1) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_551932,c_486082]) ).
tcf(c_551960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(s(crossbar(X0,X1,X2,X4,X5,X3),X1),X1),crossbar(X0,X1,X2,X4,X5,X3),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( s(s(crossbar(X0,X1,X2,X4,X5,X3),X1),X1) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_551935,c_520064]) ).
tcf(c_551976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(ext(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( ext(X1,crossbar(X0,X1,X2,X4,X5,X3),X6,X7) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_551929,c_481337]) ).
tcf(c_552071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(s(X0,X1),X4,X1,X3,X4,X2) = X4 )
| ~ s_t(X3,X4,X1)
| ~ s_t(X0,X4,X1)
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_486090,c_480316]) ).
tcf(c_552072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(s(X0,X1),X3,X1,X2,X4,X1) = X1 )
| ~ s_t(X2,X4,X1)
| ~ s_t(X0,X3,X1)
| ~ s_t(s(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_486090,c_480254]) ).
tcf(c_552073,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0,X2) = X1 )
| ( ext(s(X0,X2),X1,X1,X2) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486090,c_480013]) ).
tcf(c_552074,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0,X2) = X1 )
| ( ext(s(X0,X2),X1,X2,X1) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486090,c_480011]) ).
tcf(c_552075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(s(X1,X2),X3,X2,X0,s(X1,X2)) = s(X1,X2) )
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,s(X1,X2),X2) ),
inference(superposition,[status(thm)],[c_486090,c_479924]) ).
tcf(c_552076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(s(X0,X2),X1,X2,X1,X3) = X1 )
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486090,c_479914]) ).
tcf(c_552077,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,s(X0,X2),X1)
| ( s(X0,X2) = X2 )
| ( s(X0,X2) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486090,c_238]) ).
tcf(c_552078,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X1,s(X0,X2),X2)
| ( s(X0,X2) = xb )
| ( s(X0,X2) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486090,c_237]) ).
tcf(c_552079,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X2,s(X0,X2))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486090,c_225]) ).
tcf(c_552080,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X2,s(X0,X2),X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486090,c_224]) ).
tcf(c_552081,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X2),X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486090,c_223]) ).
tcf(c_552082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ~ s_r(X1,X2,X3)
| ~ s_t(X0,X3,X1)
| ~ s_r(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_486090,c_184]) ).
tcf(c_552083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,s(X0,X2),X2)
| s_t(s(X0,X2),X3,X2)
| ( X1 = X2 )
| ~ s_t(X3,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486090,c_147]) ).
tcf(c_552084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X3,X1,s(X0,X2))
| ( X1 = X2 )
| ( s(X0,X2) = X1 )
| ~ sameside(X3,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486090,c_145]) ).
tcf(c_552085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X3)
| sameside(X0,X1,s(X2,X3))
| ( X1 = X3 )
| ( X0 = X1 )
| ( s(X2,X3) = X1 )
| ~ s_t(X2,X1,X3)
| ~ s_col(X0,X1,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_486090,c_143]) ).
tcf(c_552086,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ s_t(X0,X2,X1)
| ~ sameside(s(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_486090,c_133]) ).
tcf(c_552087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(X0,X2),X1,X3)
| ( X1 = X3 )
| ( X1 = X2 )
| ( s(X0,X2) = X1 )
| ~ s_t(X3,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486090,c_131]) ).
tcf(c_552088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X2,X1)
| ( X2 = X3 )
| ( X1 = X2 )
| ( s(X0,X1) = X2 )
| ~ s_t(X0,X2,X1)
| ~ sameside(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_486090,c_125]) ).
tcf(c_552089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X0,X1),X3,X2)
| s_t(s(X0,X1),X2,X3)
| ~ s_t(X0,X3,X1)
| ~ s_t(s(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_486090,c_109]) ).
tcf(c_552090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X3,X1)
| s_t(X2,X1,X3)
| ( s(X0,X1) = X2 )
| ~ s_t(X0,X2,X1)
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_486090,c_108]) ).
tcf(c_552091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X0,X1),X3,X1)
| s_t(s(X0,X1),X1,X3)
| ( s(X0,X1) = X2 )
| ~ s_t(X0,X2,X1)
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_486090,c_107]) ).
tcf(c_552092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X0,X2),X1,X3)
| ( X1 = X2 )
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486090,c_81]) ).
tcf(c_552093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X0,X1),X3,X2)
| ~ s_t(X0,X3,X1)
| ~ s_t(s(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_486090,c_80]) ).
tcf(c_552094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X0,X2),X3,X2)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486090,c_79]) ).
tcf(c_552095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X0,X2),X2,X3)
| ( X1 = X2 )
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486090,c_78]) ).
tcf(c_552096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X1,X2)
| ~ s_t(X0,X3,X1)
| ~ s_t(s(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_486090,c_77]) ).
tcf(c_552097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X0,X2),X1,X3)
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486090,c_76]) ).
tcf(c_552098,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X1,X2) = X0 )
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,s(X1,X2),X2) ),
inference(superposition,[status(thm)],[c_486090,c_75]) ).
tcf(c_552099,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,s(X0,X2))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486090,c_73]) ).
tcf(c_552100,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,X2),X1,X2)
| ~ s_t(X0,s(X0,X1),s(X0,X2)) ),
inference(superposition,[status(thm)],[c_486090,c_168]) ).
tcf(c_552101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(X1,s(X0,X1),X2,X3) = s(X0,X1) )
| ~ s_t(X0,ext(X1,s(X0,X1),X2,X3),X1) ),
inference(superposition,[status(thm)],[c_486090,c_481349]) ).
tcf(c_552102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(X0,X1),X2,X1)
| ~ s_t(X0,ext(s(X0,X1),X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_486090,c_480204]) ).
tcf(c_552103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,ext(s(X0,X1),X2,X3,X4),X1)
| ~ s_t(X0,ext(s(X0,X1),X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_486090,c_480134]) ).
tcf(c_552104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,c63(s(X0,X1),X2,X3),X1)
| ~ sameside(s(X0,X1),X2,X3)
| ~ s_t(X0,c63(s(X0,X1),X2,X3),X1) ),
inference(superposition,[status(thm)],[c_486090,c_481092]) ).
tcf(c_552105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X0,X1),X2,X1)
| ~ sameside(s(X0,X1),X2,X3)
| ~ s_t(X0,c63(s(X0,X1),X2,X3),X1) ),
inference(superposition,[status(thm)],[c_486090,c_481089]) ).
tcf(c_552106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,c63(X1,X2,s(X0,X3)),X3)
| ~ sameside(X1,X2,s(X0,X3))
| ~ s_t(X0,c63(X1,X2,s(X0,X3)),X3) ),
inference(superposition,[status(thm)],[c_486090,c_481153]) ).
tcf(c_552107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X0,X3),X2,X3)
| ~ sameside(X1,X2,s(X0,X3))
| ~ s_t(X0,c63(X1,X2,s(X0,X3)),X3) ),
inference(superposition,[status(thm)],[c_486090,c_481150]) ).
tcf(c_552108,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,X2),X1,X2)
| ~ s_t(X0,s(X1,s(X0,X2)),X2) ),
inference(superposition,[status(thm)],[c_486090,c_485960]) ).
tcf(c_552109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ins(X1,X2,s(X0,X3),X4),X3)
| ~ le(s(X0,X3),X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,s(X0,X3),X4),X3) ),
inference(superposition,[status(thm)],[c_486090,c_480744]) ).
tcf(c_552110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(X0,X3),X4,X3)
| ~ le(s(X0,X3),X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,s(X0,X3),X4),X3) ),
inference(superposition,[status(thm)],[c_486090,c_480741]) ).
tcf(c_552111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,s(X0,X2),X2)
| ( ext(X1,s(X0,X2),X3,X4) = s(X0,X2) )
| ~ s_t(X0,ext(X1,s(X0,X2),X3,X4),X2) ),
inference(superposition,[status(thm)],[c_486090,c_480227]) ).
tcf(c_552112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(X1,s(X0,X2),X3,X4),X2)
| ( ext(X1,s(X0,X2),X3,X4) = s(X0,X2) )
| ~ s_t(X0,ext(X1,s(X0,X2),X3,X4),X2) ),
inference(superposition,[status(thm)],[c_486090,c_480157]) ).
tcf(c_552113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,ins(X1,X2,X3,s(X0,X4)),X4)
| ( ins(X1,X2,X3,s(X0,X4)) = s(X0,X4) )
| ~ le(X3,s(X0,X4),X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,s(X0,X4)),X4) ),
inference(superposition,[status(thm)],[c_486090,c_480743]) ).
tcf(c_552114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,s(X0,X4),X4)
| ( ins(X1,X2,X3,s(X0,X4)) = s(X0,X4) )
| ~ le(X3,s(X0,X4),X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,s(X0,X4)),X4) ),
inference(superposition,[status(thm)],[c_486090,c_480740]) ).
tcf(c_552115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,c63(X1,s(X0,X2),X3),X2)
| ~ sameside(X1,s(X0,X2),X3)
| ~ s_t(X0,c63(X1,s(X0,X2),X3),X2) ),
inference(superposition,[status(thm)],[c_486090,c_539198]) ).
tcf(c_552116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,s(X0,X2),X2)
| ~ sameside(X1,s(X0,X2),X3)
| ~ s_t(X0,c63(X1,s(X0,X2),X3),X2) ),
inference(superposition,[status(thm)],[c_486090,c_538289]) ).
tcf(c_552117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,c63(X1,s(X0,X2),X3),X2)
| ~ sameside(X1,s(X0,X2),X3)
| ~ s_t(X0,c63(X1,s(X0,X2),X3),X2) ),
inference(superposition,[status(thm)],[c_486090,c_532776]) ).
tcf(c_552118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,s(X0,X2),X2)
| ~ sameside(X1,s(X0,X2),X3)
| ~ s_t(X0,c63(X1,s(X0,X2),X3),X2) ),
inference(superposition,[status(thm)],[c_486090,c_531999]) ).
tcf(c_552119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ip(X1,s(X0,X2),X3,X4,X5),X4,X2)
| s_t(ip(X1,s(X0,X2),X3,X4,X5),X2,X4)
| ( ip(X1,s(X0,X2),X3,X4,X5) = s(X0,X2) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,s(X0,X2),X3)
| ~ s_t(X0,ip(X1,s(X0,X2),X3,X4,X5),X2) ),
inference(superposition,[status(thm)],[c_486090,c_480647]) ).
tcf(c_552120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(s(X0,X2),X4,X2)
| s_t(s(X0,X2),X2,X4)
| ( ip(X1,s(X0,X2),X3,X4,X5) = s(X0,X2) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,s(X0,X2),X3)
| ~ s_t(X0,ip(X1,s(X0,X2),X3,X4,X5),X2) ),
inference(superposition,[status(thm)],[c_486090,c_480600]) ).
tcf(c_552121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ip(X1,X2,X3,X4,s(X0,X5)),X5,X1)
| s_t(ip(X1,X2,X3,X4,s(X0,X5)),X1,X5)
| ( ip(X1,X2,X3,X4,s(X0,X5)) = s(X0,X5) )
| ~ s_t(X1,X2,X3)
| ~ s_t(X4,s(X0,X5),X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,s(X0,X5)),X5) ),
inference(superposition,[status(thm)],[c_486090,c_480648]) ).
tcf(c_552122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(s(X0,X5),X5,X1)
| s_t(s(X0,X5),X1,X5)
| ( ip(X1,X2,X3,X4,s(X0,X5)) = s(X0,X5) )
| ~ s_t(X1,X2,X3)
| ~ s_t(X4,s(X0,X5),X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,s(X0,X5)),X5) ),
inference(superposition,[status(thm)],[c_486090,c_480601]) ).
tcf(c_552123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,X1,s(X0,ext(X2,X1,X3,X4)))
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X1 )
| ( s(X0,ext(X2,X1,X3,X4)) = X1 )
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_486090,c_481222]) ).
tcf(c_552124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( s(X0,ext(X2,X1,X3,X4)) = X1 )
| ( ext(s(X0,ext(X2,X1,X3,X4)),X1,X3,X4) = ext(X2,X1,X3,X4) )
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_486090,c_480012]) ).
tcf(c_552125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X2,ip(X1,X2,X3,X4,X5),s(X0,X4))
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ( ip(X1,X2,X3,X4,X5) = s(X0,X4) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_486090,c_481223]) ).
tcf(c_552126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X5,ip(X1,X2,X3,X4,X5),s(X0,X1))
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ( ip(X1,X2,X3,X4,X5) = s(X0,X1) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_486090,c_481224]) ).
tcf(c_552127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,X1,s(X0,ins(X2,X3,X4,X1)))
| ( X1 = X4 )
| ( ins(X2,X3,X4,X1) = X1 )
| ( s(X0,ins(X2,X3,X4,X1)) = X1 )
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_486090,c_481229]) ).
tcf(c_552128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X3,X1,s(X0,c63(X2,X1,X3)))
| ( X1 = X3 )
| ( s(X0,c63(X2,X1,X3)) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_486090,c_543337]) ).
tcf(c_552129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X2,X1,s(X0,c63(X2,X1,X3)))
| ( X1 = X2 )
| ( s(X0,c63(X2,X1,X3)) = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_486090,c_542847]) ).
tcf(c_552130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( s(X0,ins(X2,X3,X1,X4)) = X1 )
| ( ext(s(X0,ins(X2,X3,X1,X4)),X1,X2,X3) = ins(X2,X3,X1,X4) )
| ~ le(X1,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X1,X4)) ),
inference(superposition,[status(thm)],[c_486090,c_480795]) ).
tcf(c_552131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X6,crossbar(X1,X2,X3,X4,X5,X6),s(X0,X3))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = s(X0,X3) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_486090,c_481227]) ).
tcf(c_552132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(crossbar(X1,X2,X3,X4,X5,s(X0,X6)),X6,X3)
| s_t(crossbar(X1,X2,X3,X4,X5,s(X0,X6)),X3,X6)
| ( crossbar(X1,X2,X3,X4,X5,s(X0,X6)) = s(X0,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,s(X0,X6),X4)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,s(X0,X6)),X6) ),
inference(superposition,[status(thm)],[c_486090,c_480651]) ).
tcf(c_552133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(s(X0,X6),X6,X3)
| s_t(s(X0,X6),X3,X6)
| ( crossbar(X1,X2,X3,X4,X5,s(X0,X6)) = s(X0,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,s(X0,X6),X4)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,s(X0,X6)),X6) ),
inference(superposition,[status(thm)],[c_486090,c_480604]) ).
tcf(c_552134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X2,crossbar(X1,X2,X3,X4,X5,X6),s(X0,X5))
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = s(X0,X5) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_486090,c_481228]) ).
tcf(c_552135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(crossbar(X1,s(X0,X2),X3,X4,X5,X6),X5,X2)
| s_t(crossbar(X1,s(X0,X2),X3,X4,X5,X6),X2,X5)
| ( crossbar(X1,s(X0,X2),X3,X4,X5,X6) = s(X0,X2) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,s(X0,X2),X3)
| ~ s_t(X0,crossbar(X1,s(X0,X2),X3,X4,X5,X6),X2) ),
inference(superposition,[status(thm)],[c_486090,c_480652]) ).
tcf(c_552136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(s(X0,X2),X5,X2)
| s_t(s(X0,X2),X2,X5)
| ( crossbar(X1,s(X0,X2),X3,X4,X5,X6) = s(X0,X2) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,s(X0,X2),X3)
| ~ s_t(X0,crossbar(X1,s(X0,X2),X3,X4,X5,X6),X2) ),
inference(superposition,[status(thm)],[c_486090,c_480605]) ).
tcf(c_552657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,ext(s(X0,X1),X1,X2,X3)),
inference(superposition,[status(thm)],[c_52,c_486092]) ).
tcf(c_552659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,ins(X2,X3,s(X0,X1),X1))
| ~ le(s(X0,X1),X1,X2,X3) ),
inference(superposition,[status(thm)],[c_110,c_486092]) ).
tcf(c_552660,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,c63(s(X0,X1),X1,X2))
| ~ sameside(s(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_129,c_486092]) ).
tcf(c_552661,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,c63(X0,X1,s(X2,X1)))
| ~ sameside(X0,X1,s(X2,X1)) ),
inference(superposition,[status(thm)],[c_130,c_486092]) ).
tcf(c_552662,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,s(X0,X1),s(X0,X2))
| ~ s_t(s(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_167,c_486092]) ).
tcf(c_552663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X3,insert5(X0,X1,X4,s(X2,X3),X3))
| ~ s_t(X0,X1,X4)
| ~ s_e(X0,X1,s(X2,X3),X3) ),
inference(superposition,[status(thm)],[c_505149,c_486092]) ).
tcf(c_552664,plain,
! [X0: $i,X1: $i] : s_t(X0,X1,s(X1,s(X0,X1))),
inference(superposition,[status(thm)],[c_485940,c_486092]) ).
tcf(c_552667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,ins(X3,X4,X0,s(X1,X2)))
| s_t(s(X1,X2),ins(X3,X4,X0,s(X1,X2)),X2)
| ( s(X1,X2) = X0 )
| ~ s_t(X0,s(X1,X2),X2)
| ~ le(X0,s(X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_480738,c_486092]) ).
tcf(c_552668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X1,ins(X3,X4,s(X0,X1),X2))
| s_t(s(X0,X1),ins(X3,X4,s(X0,X1),X2),X1)
| ( s(X0,X1) = X2 )
| ~ s_t(s(X0,X1),X2,X1)
| ~ le(s(X0,X1),X2,X3,X4) ),
inference(superposition,[status(thm)],[c_480739,c_486092]) ).
tcf(c_552669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,ip(X3,s(X0,X1),X4,X2,X5))
| s_t(s(X0,X1),ip(X3,s(X0,X1),X4,X2,X5),X1)
| ~ s_t(X2,X5,X4)
| ~ s_t(X3,s(X0,X1),X4)
| ~ s_t(s(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_486092]) ).
tcf(c_552670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,ip(X2,X5,X4,X3,s(X0,X1)))
| s_t(s(X0,X1),ip(X2,X5,X4,X3,s(X0,X1)),X1)
| ~ s_t(X2,X5,X4)
| ~ s_t(X3,s(X0,X1),X4)
| ~ s_t(s(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_486092]) ).
tcf(c_552671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X1,ext(s(X0,X1),X2,X3,X4))
| s_t(s(X0,X1),ext(s(X0,X1),X2,X3,X4),X1)
| ( s(X0,X1) = X2 )
| ~ s_t(s(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_480599,c_486092]) ).
tcf(c_552672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,c63(s(X0,X1),X2,X3))
| s_t(s(X0,X1),c63(s(X0,X1),X2,X3),X1)
| ( s(X0,X1) = X2 )
| ~ sameside(s(X0,X1),X2,X3)
| ~ s_t(s(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_481087,c_486092]) ).
tcf(c_552673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,c63(X3,X2,s(X0,X1)))
| s_t(s(X0,X1),c63(X3,X2,s(X0,X1)),X1)
| ( s(X0,X1) = X2 )
| ~ sameside(X3,X2,s(X0,X1))
| ~ s_t(s(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_481148,c_486092]) ).
tcf(c_552674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,ext(X0,s(X1,X2),X3,X4))
| s_t(s(X1,X2),ext(X0,s(X1,X2),X3,X4),X2)
| ( s(X1,X2) = X0 )
| ~ s_t(X0,s(X1,X2),X2) ),
inference(superposition,[status(thm)],[c_480646,c_486092]) ).
tcf(c_552675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X2,c63(X0,s(X1,X2),X3))
| s_t(s(X1,X2),c63(X0,s(X1,X2),X3),X2)
| ( s(X1,X2) = X0 )
| ~ sameside(X0,s(X1,X2),X3)
| ~ s_t(X0,s(X1,X2),X2) ),
inference(superposition,[status(thm)],[c_481086,c_486092]) ).
tcf(c_552676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X2,c63(X3,s(X1,X2),X0))
| s_t(s(X1,X2),c63(X3,s(X1,X2),X0),X2)
| ( s(X1,X2) = X0 )
| ~ sameside(X3,s(X1,X2),X0)
| ~ s_t(X0,s(X1,X2),X2) ),
inference(superposition,[status(thm)],[c_481147,c_486092]) ).
tcf(c_552677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ins(X3,X4,X0,X1))
| ( X0 = X1 )
| ( s(X2,X1) = X1 )
| ( ins(X3,X4,X0,X1) = X1 )
| ~ le(X0,X1,X3,X4)
| ~ sameside(X0,X1,s(X2,X1)) ),
inference(superposition,[status(thm)],[c_481026,c_486092]) ).
tcf(c_552678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X1,c63(X3,X1,X0))
| ( X0 = X1 )
| ( s(X2,X1) = X1 )
| ~ sameside(X3,X1,X0)
| ~ sameside(X0,X1,s(X2,X1)) ),
inference(superposition,[status(thm)],[c_534516,c_486092]) ).
tcf(c_552679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X1,c63(X0,X1,X3))
| ( X0 = X1 )
| ( s(X2,X1) = X1 )
| ~ sameside(X0,X1,X3)
| ~ sameside(X0,X1,s(X2,X1)) ),
inference(superposition,[status(thm)],[c_528230,c_486092]) ).
tcf(c_552680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X1,crossbar(X3,X5,X2,X4,X6,s(X0,X1)))
| s_t(s(X0,X1),crossbar(X3,X5,X2,X4,X6,s(X0,X1)),X1)
| ~ s_t(X4,X6,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X3,s(X0,X1),X4)
| ~ s_t(s(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_486092]) ).
tcf(c_552681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X1,crossbar(X3,s(X0,X1),X4,X6,X2,X5))
| s_t(s(X0,X1),crossbar(X3,s(X0,X1),X4,X6,X2,X5),X1)
| ~ s_t(X6,X2,X4)
| ~ s_t(X3,X5,X6)
| ~ s_t(X3,s(X0,X1),X4)
| ~ s_t(s(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_486092]) ).
tcf(c_552682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ( s(X2,X1) = X1 )
| ( ext(X0,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,s(X2,X1)) ),
inference(superposition,[status(thm)],[c_481019,c_486092]) ).
tcf(c_552683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,ext(s(X0,X1),s(X1,s(X0,X1)),X2,X3)),
inference(superposition,[status(thm)],[c_517544,c_486092]) ).
tcf(c_552684,plain,
! [X0: $i,X1: $i] : s_t(X0,X1,s(s(X1,s(X0,X1)),s(X0,X1))),
inference(superposition,[status(thm)],[c_517551,c_486092]) ).
tcf(c_552685,plain,
! [X0: $i] : s_t(X0,X0,s(X0,s(X0,X0))),
inference(superposition,[status(thm)],[c_517617,c_486092]) ).
tcf(c_552687,plain,
! [X0: $i,X1: $i] : s_t(X0,X1,s(s(s(X1,s(X0,X1)),s(X0,X1)),s(X0,X1))),
inference(superposition,[status(thm)],[c_517650,c_486092]) ).
tcf(c_552688,plain,
! [X0: $i] : s_t(s(s(X0,X0),X0),X0,X0),
inference(superposition,[status(thm)],[c_529313,c_486092]) ).
tcf(c_552689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,s(X1,ext(X1,s(X0,X1),X2,X3))),
inference(superposition,[status(thm)],[c_547926,c_486092]) ).
tcf(c_552690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,s(ext(s(X0,X1),X1,X2,X3),s(X0,X1))),
inference(superposition,[status(thm)],[c_495727,c_486092]) ).
tcf(c_552919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,X1,X0)
| s_t(X1,X4,ins(X2,X3,X0,X1))
| s_t(X1,ins(X2,X3,X0,X1),X4)
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ s_col(X4,X1,X0)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481631,c_236]) ).
tcf(c_552920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X5,X3,X4)
| sameside(X5,X3,X2)
| ( X3 = X5 )
| ( X2 = X3 )
| ( ins(X0,X1,X2,X3) = X3 )
| ~ s_col(X5,X3,X2)
| ~ le(X2,X3,X0,X1)
| ~ sameside(ins(X0,X1,X2,X3),X3,X4) ),
inference(superposition,[status(thm)],[c_481631,c_137]) ).
tcf(c_552921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,X1,X0)
| sameside(ins(X2,X3,X0,X1),X1,X4)
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ s_col(X4,X1,X0)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481631,c_136]) ).
tcf(c_552922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,X1,X0)
| s_col(X4,X1,ins(X2,X3,X0,X1))
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ s_col(X4,X1,X0)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481631,c_132]) ).
tcf(c_552924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ext(ins(X0,X1,X2,X3),X3,X4,X5),X3,X2)
| ( X2 = X3 )
| ( ins(X0,X1,X2,X3) = X3 )
| ( ext(ins(X0,X1,X2,X3),X3,X4,X5) = X3 )
| ~ le(X2,X3,X0,X1)
| ~ s_col(ext(ins(X0,X1,X2,X3),X3,X4,X5),X3,X2) ),
inference(superposition,[status(thm)],[c_481631,c_481337]) ).
tcf(c_552925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(X0,ins(X1,X2,X3,X0)),X0,X3)
| ( X0 = X3 )
| ( ins(X1,X2,X3,X0) = X0 )
| ( s(X0,ins(X1,X2,X3,X0)) = X0 )
| ~ le(X3,X0,X1,X2)
| ~ s_col(s(X0,ins(X1,X2,X3,X0)),X0,X3) ),
inference(superposition,[status(thm)],[c_481631,c_486082]) ).
tcf(c_552927,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK1,sK2)
| sameside(sK2,sK1,X0)
| sameside(sK0,sK1,ins(X1,X2,X0,sK1))
| ( sK1 = sK2 )
| ( X0 = sK1 )
| ( ins(X1,X2,X0,sK1) = sK1 )
| ~ s_col(sK2,sK1,X0)
| ~ le(X0,sK1,X1,X2) ),
inference(superposition,[status(thm)],[c_481631,c_481488]) ).
tcf(c_552928,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK1,sK3)
| sameside(sK3,sK1,X0)
| sameside(sK0,sK1,ins(X1,X2,X0,sK1))
| ( sK1 = sK3 )
| ( X0 = sK1 )
| ( ins(X1,X2,X0,sK1) = sK1 )
| ~ s_col(sK3,sK1,X0)
| ~ le(X0,sK1,X1,X2) ),
inference(superposition,[status(thm)],[c_481631,c_481586]) ).
tcf(c_552929,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK1,sK2,sK0)
| sameside(sK0,sK2,X0)
| sameside(sK1,sK2,ins(X1,X2,X0,sK2))
| ( sK0 = sK2 )
| ( X0 = sK2 )
| ( ins(X1,X2,X0,sK2) = sK2 )
| ~ s_col(sK0,sK2,X0)
| ~ le(X0,sK2,X1,X2) ),
inference(superposition,[status(thm)],[c_481631,c_481600]) ).
tcf(c_552930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X2,ip(X1,X2,X3,X4,X5),X0)
| s_t(ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)),ip(X1,X2,X3,X4,X5),X4)
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ( ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_col(X2,ip(X1,X2,X3,X4,X5),X0)
| ~ le(X0,ip(X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_481631,c_481020]) ).
tcf(c_552931,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X5,ip(X1,X2,X3,X4,X5),X0)
| s_t(ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)),ip(X1,X2,X3,X4,X5),X1)
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ( ins(X6,X7,X0,ip(X1,X2,X3,X4,X5)) = ip(X1,X2,X3,X4,X5) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_col(X5,ip(X1,X2,X3,X4,X5),X0)
| ~ le(X0,ip(X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_481631,c_481021]) ).
tcf(c_552932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X6,crossbar(X1,X2,X3,X4,X5,X6),X0)
| s_t(ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)),crossbar(X1,X2,X3,X4,X5,X6),X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ( ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_col(X6,crossbar(X1,X2,X3,X4,X5,X6),X0)
| ~ le(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8) ),
inference(superposition,[status(thm)],[c_481631,c_481024]) ).
tcf(c_552933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X2,crossbar(X1,X2,X3,X4,X5,X6),X0)
| s_t(ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)),crossbar(X1,X2,X3,X4,X5,X6),X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ( ins(X7,X8,X0,crossbar(X1,X2,X3,X4,X5,X6)) = crossbar(X1,X2,X3,X4,X5,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_col(X2,crossbar(X1,X2,X3,X4,X5,X6),X0)
| ~ le(X0,crossbar(X1,X2,X3,X4,X5,X6),X7,X8) ),
inference(superposition,[status(thm)],[c_481631,c_481025]) ).
tcf(c_552934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(ext(X0,X1,X2,X3),X1,X4)
| ( X2 = X3 )
| ( X1 = X4 )
| ( ins(X6,X7,X4,X1) = X1 )
| ( ext(X0,X1,X2,X3) = X5 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ le(X4,X1,X6,X7)
| ~ s_e(X1,X5,X2,X3)
| ~ sameside(X5,X1,ins(X6,X7,X4,X1))
| ~ s_col(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481631,c_481538]) ).
tcf(c_552935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ext(X0,X1,X2,X3),X1,X4)
| s_t(ins(X5,X6,X4,X1),X1,X0)
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X5,X6,X4,X1) = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ le(X4,X1,X5,X6)
| ~ s_col(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481631,c_481339]) ).
tcf(c_552936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(ins(X0,X1,X2,X3),X2,X4)
| ( X2 = X4 )
| ( X0 = X1 )
| ( ins(X6,X7,X4,X2) = X2 )
| ( ins(X0,X1,X2,X3) = X5 )
| ( ins(X0,X1,X2,X3) = X2 )
| ~ le(X4,X2,X6,X7)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X5,X0,X1)
| ~ sameside(X5,X2,ins(X6,X7,X4,X2))
| ~ s_col(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_481631,c_481541]) ).
tcf(c_552937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(s(X0,ins(X1,X2,X3,X0)),ins(X1,X2,X3,X0)),X0,X3)
| ( X0 = X3 )
| ( ins(X1,X2,X3,X0) = X0 )
| ( s(s(X0,ins(X1,X2,X3,X0)),ins(X1,X2,X3,X0)) = X0 )
| ~ le(X3,X0,X1,X2)
| ~ s_col(s(s(X0,ins(X1,X2,X3,X0)),ins(X1,X2,X3,X0)),X0,X3) ),
inference(superposition,[status(thm)],[c_481631,c_520064]) ).
tcf(c_553161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,c63(X2,X1,X3))
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_481632,c_128]) ).
tcf(c_553180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X2)
| s_t(X1,X0,c63(X2,X1,X3))
| s_t(X1,c63(X2,X1,X3),X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553161,c_236]) ).
tcf(c_553181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,X1,X3)
| sameside(X4,X1,X0)
| ( X1 = X4 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_col(X4,X1,X0)
| ~ sameside(c63(X0,X1,X2),X1,X3) ),
inference(superposition,[status(thm)],[c_553161,c_137]) ).
tcf(c_553182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X2)
| sameside(c63(X2,X1,X3),X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553161,c_136]) ).
tcf(c_553183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X2)
| s_col(X0,X1,c63(X2,X1,X3))
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553161,c_132]) ).
tcf(c_553185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(ext(c63(X0,X1,X2),X1,X3,X4),X1,X0)
| ( X0 = X1 )
| ( ext(c63(X0,X1,X2),X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_col(ext(c63(X0,X1,X2),X1,X3,X4),X1,X0) ),
inference(superposition,[status(thm)],[c_553161,c_481337]) ).
tcf(c_553186,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(s(X0,c63(X1,X0,X2)),X0,X1)
| ( X0 = X1 )
| ( s(X0,c63(X1,X0,X2)) = X0 )
| ~ sameside(X1,X0,X2)
| ~ s_col(s(X0,c63(X1,X0,X2)),X0,X1) ),
inference(superposition,[status(thm)],[c_553161,c_486082]) ).
tcf(c_553188,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,X2)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553161,c_481309]) ).
tcf(c_553189,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK1,sK2)
| sameside(sK2,sK1,X0)
| sameside(sK0,sK1,c63(X0,sK1,X1))
| ( sK1 = sK2 )
| ( X0 = sK1 )
| ~ s_col(sK2,sK1,X0)
| ~ sameside(X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_553161,c_481488]) ).
tcf(c_553190,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK1,sK3)
| sameside(sK3,sK1,X0)
| sameside(sK0,sK1,c63(X0,sK1,X1))
| ( sK1 = sK3 )
| ( X0 = sK1 )
| ~ s_col(sK3,sK1,X0)
| ~ sameside(X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_553161,c_481586]) ).
tcf(c_553191,plain,
! [X0: $i,X1: $i] :
( s_t(sK1,sK2,sK0)
| sameside(sK0,sK2,X0)
| sameside(sK1,sK2,c63(X0,sK2,X1))
| ( sK0 = sK2 )
| ( X0 = sK2 )
| ~ s_col(sK0,sK2,X0)
| ~ sameside(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_553161,c_481600]) ).
tcf(c_553192,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X0,ip(X1,X0,X2,X3,X4),X5)
| s_t(c63(X5,ip(X1,X0,X2,X3,X4),X6),ip(X1,X0,X2,X3,X4),X3)
| ( ip(X1,X0,X2,X3,X4) = X5 )
| ( ip(X1,X0,X2,X3,X4) = X3 )
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ( c63(X5,ip(X1,X0,X2,X3,X4),X6) = ip(X1,X0,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ sameside(X5,ip(X1,X0,X2,X3,X4),X6)
| ~ s_col(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_553161,c_481020]) ).
tcf(c_553193,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X0,ip(X1,X2,X3,X4,X0),X5)
| s_t(c63(X5,ip(X1,X2,X3,X4,X0),X6),ip(X1,X2,X3,X4,X0),X1)
| ( ip(X1,X2,X3,X4,X0) = X5 )
| ( ip(X1,X2,X3,X4,X0) = X1 )
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ( c63(X5,ip(X1,X2,X3,X4,X0),X6) = ip(X1,X2,X3,X4,X0) )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X5,ip(X1,X2,X3,X4,X0),X6)
| ~ s_col(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_553161,c_481021]) ).
tcf(c_553194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X0,crossbar(X1,X2,X3,X4,X5,X0),X6)
| s_t(c63(X6,crossbar(X1,X2,X3,X4,X5,X0),X7),crossbar(X1,X2,X3,X4,X5,X0),X3)
| ( crossbar(X1,X2,X3,X4,X5,X0) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X0) = X3 )
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ( c63(X6,crossbar(X1,X2,X3,X4,X5,X0),X7) = crossbar(X1,X2,X3,X4,X5,X0) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ sameside(X6,crossbar(X1,X2,X3,X4,X5,X0),X7)
| ~ s_col(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_553161,c_481024]) ).
tcf(c_553195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X0,crossbar(X1,X0,X2,X3,X4,X5),X6)
| s_t(c63(X6,crossbar(X1,X0,X2,X3,X4,X5),X7),crossbar(X1,X0,X2,X3,X4,X5),X4)
| ( crossbar(X1,X0,X2,X3,X4,X5) = X6 )
| ( crossbar(X1,X0,X2,X3,X4,X5) = X4 )
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ( c63(X6,crossbar(X1,X0,X2,X3,X4,X5),X7) = crossbar(X1,X0,X2,X3,X4,X5) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ sameside(X6,crossbar(X1,X0,X2,X3,X4,X5),X7)
| ~ s_col(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_553161,c_481025]) ).
tcf(c_553196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ext(X0,X1,X2,X3),X1,X4)
| ( X2 = X3 )
| ( X1 = X4 )
| ( c63(X4,X1,X6) = X1 )
| ( ext(X0,X1,X2,X3) = X5 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ sameside(X4,X1,X6)
| ~ s_e(X1,X5,X2,X3)
| ~ sameside(X5,X1,c63(X4,X1,X6))
| ~ s_col(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_553161,c_481538]) ).
tcf(c_553197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(c63(X4,X1,X5),X1,X0)
| sameside(ext(X0,X1,X2,X3),X1,X4)
| ( X1 = X4 )
| ( X0 = X1 )
| ( c63(X4,X1,X5) = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ sameside(X4,X1,X5)
| ~ s_col(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_553161,c_481339]) ).
tcf(c_553198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ins(X0,X1,X2,X3),X2,X4)
| ( X2 = X4 )
| ( X0 = X1 )
| ( c63(X4,X2,X6) = X2 )
| ( ins(X0,X1,X2,X3) = X5 )
| ( ins(X0,X1,X2,X3) = X2 )
| ~ sameside(X4,X2,X6)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X5,X0,X1)
| ~ sameside(X5,X2,c63(X4,X2,X6))
| ~ s_col(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_553161,c_481541]) ).
tcf(c_553199,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(s(s(X0,c63(X1,X0,X2)),c63(X1,X0,X2)),X0,X1)
| ( X0 = X1 )
| ( s(s(X0,c63(X1,X0,X2)),c63(X1,X0,X2)) = X0 )
| ~ sameside(X1,X0,X2)
| ~ s_col(s(s(X0,c63(X1,X0,X2)),c63(X1,X0,X2)),X0,X1) ),
inference(superposition,[status(thm)],[c_553161,c_520064]) ).
tcf(c_553348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,c63(X3,X1,X2))
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X3,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_481633,c_128]) ).
tcf(c_553367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X2)
| s_t(X1,X0,c63(X3,X1,X2))
| s_t(X1,c63(X3,X1,X2),X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X3,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553348,c_236]) ).
tcf(c_553368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,X1,X3)
| sameside(X4,X1,X2)
| ( X1 = X4 )
| ( X1 = X2 )
| ~ sameside(X0,X1,X2)
| ~ s_col(X4,X1,X2)
| ~ sameside(c63(X0,X1,X2),X1,X3) ),
inference(superposition,[status(thm)],[c_553348,c_137]) ).
tcf(c_553369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X2)
| sameside(c63(X3,X1,X2),X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X3,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553348,c_136]) ).
tcf(c_553370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X2)
| s_col(X0,X1,c63(X3,X1,X2))
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X3,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553348,c_132]) ).
tcf(c_553372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(ext(c63(X0,X1,X2),X1,X3,X4),X1,X2)
| ( X1 = X2 )
| ( ext(c63(X0,X1,X2),X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_col(ext(c63(X0,X1,X2),X1,X3,X4),X1,X2) ),
inference(superposition,[status(thm)],[c_553348,c_481337]) ).
tcf(c_553373,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(s(X0,c63(X1,X0,X2)),X0,X2)
| ( X0 = X2 )
| ( s(X0,c63(X1,X0,X2)) = X0 )
| ~ sameside(X1,X0,X2)
| ~ s_col(s(X0,c63(X1,X0,X2)),X0,X2) ),
inference(superposition,[status(thm)],[c_553348,c_486082]) ).
tcf(c_553376,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK1,sK2)
| sameside(sK2,sK1,X1)
| sameside(sK0,sK1,c63(X0,sK1,X1))
| ( sK1 = sK2 )
| ( X1 = sK1 )
| ~ s_col(sK2,sK1,X1)
| ~ sameside(X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_553348,c_481488]) ).
tcf(c_553377,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK1,sK3)
| sameside(sK3,sK1,X1)
| sameside(sK0,sK1,c63(X0,sK1,X1))
| ( sK1 = sK3 )
| ( X1 = sK1 )
| ~ s_col(sK3,sK1,X1)
| ~ sameside(X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_553348,c_481586]) ).
tcf(c_553378,plain,
! [X0: $i,X1: $i] :
( s_t(sK1,sK2,sK0)
| sameside(sK0,sK2,X1)
| sameside(sK1,sK2,c63(X0,sK2,X1))
| ( sK0 = sK2 )
| ( X1 = sK2 )
| ~ s_col(sK0,sK2,X1)
| ~ sameside(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_553348,c_481600]) ).
tcf(c_553379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X0,ip(X1,X0,X2,X3,X4),X5)
| s_t(c63(X6,ip(X1,X0,X2,X3,X4),X5),ip(X1,X0,X2,X3,X4),X3)
| ( ip(X1,X0,X2,X3,X4) = X5 )
| ( ip(X1,X0,X2,X3,X4) = X3 )
| ( ip(X1,X0,X2,X3,X4) = X0 )
| ( c63(X6,ip(X1,X0,X2,X3,X4),X5) = ip(X1,X0,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ sameside(X6,ip(X1,X0,X2,X3,X4),X5)
| ~ s_col(X0,ip(X1,X0,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_553348,c_481020]) ).
tcf(c_553380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X0,ip(X1,X2,X3,X4,X0),X5)
| s_t(c63(X6,ip(X1,X2,X3,X4,X0),X5),ip(X1,X2,X3,X4,X0),X1)
| ( ip(X1,X2,X3,X4,X0) = X5 )
| ( ip(X1,X2,X3,X4,X0) = X1 )
| ( ip(X1,X2,X3,X4,X0) = X0 )
| ( c63(X6,ip(X1,X2,X3,X4,X0),X5) = ip(X1,X2,X3,X4,X0) )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X6,ip(X1,X2,X3,X4,X0),X5)
| ~ s_col(X0,ip(X1,X2,X3,X4,X0),X5) ),
inference(superposition,[status(thm)],[c_553348,c_481021]) ).
tcf(c_553381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X0,crossbar(X1,X2,X3,X4,X5,X0),X6)
| s_t(c63(X7,crossbar(X1,X2,X3,X4,X5,X0),X6),crossbar(X1,X2,X3,X4,X5,X0),X3)
| ( crossbar(X1,X2,X3,X4,X5,X0) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X0) = X3 )
| ( crossbar(X1,X2,X3,X4,X5,X0) = X0 )
| ( c63(X7,crossbar(X1,X2,X3,X4,X5,X0),X6) = crossbar(X1,X2,X3,X4,X5,X0) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ sameside(X7,crossbar(X1,X2,X3,X4,X5,X0),X6)
| ~ s_col(X0,crossbar(X1,X2,X3,X4,X5,X0),X6) ),
inference(superposition,[status(thm)],[c_553348,c_481024]) ).
tcf(c_553382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X0,crossbar(X1,X0,X2,X3,X4,X5),X6)
| s_t(c63(X7,crossbar(X1,X0,X2,X3,X4,X5),X6),crossbar(X1,X0,X2,X3,X4,X5),X4)
| ( crossbar(X1,X0,X2,X3,X4,X5) = X6 )
| ( crossbar(X1,X0,X2,X3,X4,X5) = X4 )
| ( crossbar(X1,X0,X2,X3,X4,X5) = X0 )
| ( c63(X7,crossbar(X1,X0,X2,X3,X4,X5),X6) = crossbar(X1,X0,X2,X3,X4,X5) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ sameside(X7,crossbar(X1,X0,X2,X3,X4,X5),X6)
| ~ s_col(X0,crossbar(X1,X0,X2,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_553348,c_481025]) ).
tcf(c_553383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ext(X0,X1,X2,X3),X1,X4)
| ( X2 = X3 )
| ( X1 = X4 )
| ( c63(X6,X1,X4) = X1 )
| ( ext(X0,X1,X2,X3) = X5 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ sameside(X6,X1,X4)
| ~ s_e(X1,X5,X2,X3)
| ~ sameside(X5,X1,c63(X6,X1,X4))
| ~ s_col(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_553348,c_481538]) ).
tcf(c_553384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(c63(X5,X1,X4),X1,X0)
| sameside(ext(X0,X1,X2,X3),X1,X4)
| ( X1 = X4 )
| ( X0 = X1 )
| ( c63(X5,X1,X4) = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ sameside(X5,X1,X4)
| ~ s_col(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_553348,c_481339]) ).
tcf(c_553385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ins(X0,X1,X2,X3),X2,X4)
| ( X2 = X4 )
| ( X0 = X1 )
| ( c63(X6,X2,X4) = X2 )
| ( ins(X0,X1,X2,X3) = X5 )
| ( ins(X0,X1,X2,X3) = X2 )
| ~ sameside(X6,X2,X4)
| ~ le(X2,X3,X0,X1)
| ~ s_e(X2,X5,X0,X1)
| ~ sameside(X5,X2,c63(X6,X2,X4))
| ~ s_col(ins(X0,X1,X2,X3),X2,X4) ),
inference(superposition,[status(thm)],[c_553348,c_481541]) ).
tcf(c_553386,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(s(s(X0,c63(X1,X0,X2)),c63(X1,X0,X2)),X0,X2)
| ( X0 = X2 )
| ( s(s(X0,c63(X1,X0,X2)),c63(X1,X0,X2)) = X0 )
| ~ sameside(X1,X0,X2)
| ~ s_col(s(s(X0,c63(X1,X0,X2)),c63(X1,X0,X2)),X0,X2) ),
inference(superposition,[status(thm)],[c_553348,c_520064]) ).
tcf(c_553521,plain,
! [X0: $i,X1: $i] : s_t(X0,s(X0,X1),s(s(X0,X1),X1)),
inference(superposition,[status(thm)],[c_161,c_552664]) ).
tcf(c_553523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(X2,X1,s(X1,s(X2,X1)),X0,X1,X3) = X1 )
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,X1,s(X1,s(X2,X1))) ),
inference(superposition,[status(thm)],[c_552664,c_480316]) ).
tcf(c_553524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(X0,X1,s(X1,s(X0,X1)),X2,X3,s(X1,s(X0,X1))) = s(X1,s(X0,X1)) )
| ~ s_t(X2,X3,s(X1,s(X0,X1)))
| ~ s_t(X0,s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_552664,c_480254]) ).
tcf(c_553525,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X1,s(X1,s(X0,X1))) = s(X1,s(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_552664,c_480013]) ).
tcf(c_553526,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,s(X1,s(X0,X1)),X1) = s(X1,s(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_552664,c_480011]) ).
tcf(c_553527,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(X1,X2,s(X2,s(X1,X2)),X0,X1) = X1 )
| ~ s_t(X0,X1,s(X2,s(X1,X2))) ),
inference(superposition,[status(thm)],[c_552664,c_479924]) ).
tcf(c_553528,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(X2,X0,s(X0,s(X2,X0)),X0,X1) = X0 )
| ~ s_t(X0,X1,s(X0,s(X2,X0))) ),
inference(superposition,[status(thm)],[c_552664,c_479914]) ).
tcf(c_553529,plain,
! [X0: $i,X1: $i] :
( sameside(s(X0,s(X1,X0)),X1,X0)
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = X1 ) ),
inference(superposition,[status(thm)],[c_552664,c_238]) ).
tcf(c_553530,plain,
! [X0: $i,X1: $i] :
( sameside(X1,X0,s(X1,s(X0,X1)))
| ( X0 = xb )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_552664,c_237]) ).
tcf(c_553531,plain,
! [X0: $i,X1: $i] : s_col(X0,s(X0,s(X1,X0)),X1),
inference(superposition,[status(thm)],[c_552664,c_225]) ).
tcf(c_553532,plain,
! [X0: $i,X1: $i] : s_col(s(X0,s(X1,X0)),X1,X0),
inference(superposition,[status(thm)],[c_552664,c_224]) ).
tcf(c_553533,plain,
! [X0: $i,X1: $i] : s_col(X0,X1,s(X1,s(X0,X1))),
inference(superposition,[status(thm)],[c_552664,c_223]) ).
tcf(c_553534,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ s_r(X1,X2,X0)
| ~ s_r(s(X0,s(X1,X0)),X2,X0) ),
inference(superposition,[status(thm)],[c_552664,c_184]) ).
tcf(c_553535,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,s(X1,s(X2,X1)))
| s_t(X0,X2,s(X1,s(X2,X1)))
| ( s(X1,s(X2,X1)) = X1 )
| ~ s_t(X0,X1,s(X1,s(X2,X1))) ),
inference(superposition,[status(thm)],[c_552664,c_147]) ).
tcf(c_553536,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X1 = X2 )
| ( s(X1,s(X2,X1)) = X1 )
| ~ sameside(X0,X1,s(X1,s(X2,X1))) ),
inference(superposition,[status(thm)],[c_552664,c_145]) ).
tcf(c_553537,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,s(X1,s(X2,X1)))
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(X1,s(X2,X1)) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_143]) ).
tcf(c_553538,plain,
! [X0: $i,X1: $i] : ~ sameside(X0,X1,s(X1,s(X0,X1))),
inference(superposition,[status(thm)],[c_552664,c_133]) ).
tcf(c_553539,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(X1,s(X2,X1)) = X1 )
| ~ s_t(X0,X1,s(X1,s(X2,X1))) ),
inference(superposition,[status(thm)],[c_552664,c_131]) ).
tcf(c_553540,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,s(X1,s(X0,X1)))
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(X1,s(X0,X1)) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_125]) ).
tcf(c_553541,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,X1)
| s_t(X0,X1,X2)
| ~ s_t(X0,X1,s(X2,s(X0,X2))) ),
inference(superposition,[status(thm)],[c_552664,c_109]) ).
tcf(c_553542,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X2,s(X1,s(X0,X1)))
| s_t(X1,s(X1,s(X0,X1)),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_108]) ).
tcf(c_553543,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,s(X1,s(X0,X1)))
| s_t(X0,s(X1,s(X0,X1)),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_107]) ).
tcf(c_553544,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X0,X2)
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_t(X0,s(X0,s(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_552664,c_81]) ).
tcf(c_553545,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,X2)
| ~ s_t(X0,s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_552664,c_80]) ).
tcf(c_553546,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,s(X0,s(X2,X0)))
| ~ s_t(X0,X1,s(X0,s(X2,X0))) ),
inference(superposition,[status(thm)],[c_552664,c_79]) ).
tcf(c_553547,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,s(X0,s(X1,X0)),X2)
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_t(X0,s(X0,s(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_552664,c_78]) ).
tcf(c_553548,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,s(X1,s(X0,X1)),X2)
| ~ s_t(X0,s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_552664,c_77]) ).
tcf(c_553549,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,X1)
| ~ s_t(X0,X1,s(X0,s(X2,X0))) ),
inference(superposition,[status(thm)],[c_552664,c_76]) ).
tcf(c_553550,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ s_t(X0,X1,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_552664,c_75]) ).
tcf(c_553551,plain,
! [X0: $i,X1: $i] : s_t(s(X0,s(X1,X0)),X0,X1),
inference(superposition,[status(thm)],[c_552664,c_73]) ).
tcf(c_553553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,s(ext(X0,X1,X2,X3),s(X0,ext(X0,X1,X2,X3)))),
inference(superposition,[status(thm)],[c_552664,c_480204]) ).
tcf(c_553554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,ext(X1,X0,X2,X3),s(ext(X1,X0,X2,X3),s(X1,ext(X1,X0,X2,X3)))),
inference(superposition,[status(thm)],[c_552664,c_480134]) ).
tcf(c_553555,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,c63(X0,X1,X2),s(c63(X0,X1,X2),s(X0,c63(X0,X1,X2))))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_481092]) ).
tcf(c_553556,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,s(c63(X0,X1,X2),s(X0,c63(X0,X1,X2))))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_481089]) ).
tcf(c_553557,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,c63(X0,X1,X2),s(c63(X0,X1,X2),s(X2,c63(X0,X1,X2))))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_481153]) ).
tcf(c_553558,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,s(c63(X0,X1,X2),s(X2,c63(X0,X1,X2))))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_481150]) ).
tcf(c_553559,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,s(X1,s(ext(X1,X0,X2,X3),X1))),
inference(superposition,[status(thm)],[c_552664,c_481347]) ).
tcf(c_553560,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(ext(X0,X1,X2,X3),X1,s(X0,s(ext(X0,X1,X2,X3),X0))),
inference(superposition,[status(thm)],[c_552664,c_481344]) ).
tcf(c_553561,plain,
! [X0: $i,X1: $i] : s_t(X0,X1,s(s(X1,X0),s(X0,s(X1,X0)))),
inference(superposition,[status(thm)],[c_552664,c_485960]) ).
tcf(c_553562,plain,
! [X0: $i,X1: $i] : s_t(X0,X1,s(X1,s(s(X0,X1),X1))),
inference(superposition,[status(thm)],[c_552664,c_486092]) ).
tcf(c_553563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(X0,X1,X2,X3),X0,s(X1,s(ext(X0,X1,X2,X3),X1)))
| s_t(ext(X0,X1,X2,X3),s(X1,s(ext(X0,X1,X2,X3),X1)),X0)
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_552664,c_481342]) ).
tcf(c_553564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,s(X1,s(ext(X0,X1,X2,X3),X1)))
| s_t(X1,s(X1,s(ext(X0,X1,X2,X3),X1)),X0)
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_552664,c_481341]) ).
tcf(c_553565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,ins(X2,X3,X0,X1),s(ins(X2,X3,X0,X1),s(X0,ins(X2,X3,X0,X1))))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_552664,c_480744]) ).
tcf(c_553566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,s(ins(X2,X3,X0,X1),s(X0,ins(X2,X3,X0,X1))))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_552664,c_480741]) ).
tcf(c_553567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,s(ext(X0,X1,X2,X3),s(X1,ext(X0,X1,X2,X3))))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_552664,c_480227]) ).
tcf(c_553568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ext(X0,X1,X2,X3),s(ext(X0,X1,X2,X3),s(X1,ext(X0,X1,X2,X3))))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_552664,c_480157]) ).
tcf(c_553569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ins(X2,X3,X0,X1),s(ins(X2,X3,X0,X1),s(X1,ins(X2,X3,X0,X1))))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_552664,c_480743]) ).
tcf(c_553570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,s(ins(X2,X3,X0,X1),s(X1,ins(X2,X3,X0,X1))))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_552664,c_480740]) ).
tcf(c_553571,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,c63(X0,X1,X2),s(c63(X0,X1,X2),s(X1,c63(X0,X1,X2))))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_539198]) ).
tcf(c_553572,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,s(c63(X0,X1,X2),s(X1,c63(X0,X1,X2))))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_538289]) ).
tcf(c_553573,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,c63(X0,X1,X2),s(c63(X0,X1,X2),s(X1,c63(X0,X1,X2))))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_532776]) ).
tcf(c_553574,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,s(c63(X0,X1,X2),s(X1,c63(X0,X1,X2))))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_531999]) ).
tcf(c_553575,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),s(X3,s(ip(X0,X1,X2,X3,X4),X3)))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_480228]) ).
tcf(c_553576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,s(X3,s(ip(X0,X1,X2,X3,X4),X3)))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_480158]) ).
tcf(c_553577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),s(X0,s(ip(X0,X1,X2,X3,X4),X0)))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_480229]) ).
tcf(c_553578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,s(X0,s(ip(X0,X1,X2,X3,X4),X0)))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_480159]) ).
tcf(c_553579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X3,s(ip(X0,X1,X2,X3,X4),s(X1,ip(X0,X1,X2,X3,X4))))
| s_t(ip(X0,X1,X2,X3,X4),s(ip(X0,X1,X2,X3,X4),s(X1,ip(X0,X1,X2,X3,X4))),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_480647]) ).
tcf(c_553580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,s(ip(X0,X1,X2,X3,X4),s(X1,ip(X0,X1,X2,X3,X4))))
| s_t(X1,s(ip(X0,X1,X2,X3,X4),s(X1,ip(X0,X1,X2,X3,X4))),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_480600]) ).
tcf(c_553581,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X0,s(ip(X0,X1,X2,X3,X4),s(X4,ip(X0,X1,X2,X3,X4))))
| s_t(ip(X0,X1,X2,X3,X4),s(ip(X0,X1,X2,X3,X4),s(X4,ip(X0,X1,X2,X3,X4))),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_480648]) ).
tcf(c_553582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,s(ip(X0,X1,X2,X3,X4),s(X4,ip(X0,X1,X2,X3,X4))))
| s_t(X4,s(ip(X0,X1,X2,X3,X4),s(X4,ip(X0,X1,X2,X3,X4))),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_480601]) ).
tcf(c_553583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(crossbar(X0,X3,X4,X2,X5,X1),X4,s(crossbar(X0,X3,X4,X2,X5,X1),s(X1,crossbar(X0,X3,X4,X2,X5,X1))))
| s_t(crossbar(X0,X3,X4,X2,X5,X1),s(crossbar(X0,X3,X4,X2,X5,X1),s(X1,crossbar(X0,X3,X4,X2,X5,X1))),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_480651]) ).
tcf(c_553584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X4,s(crossbar(X0,X3,X4,X2,X5,X1),s(X1,crossbar(X0,X3,X4,X2,X5,X1))))
| s_t(X1,s(crossbar(X0,X3,X4,X2,X5,X1),s(X1,crossbar(X0,X3,X4,X2,X5,X1))),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_480604]) ).
tcf(c_553585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,s(X2,s(crossbar(X0,X1,X2,X4,X5,X3),X2)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_480258]) ).
tcf(c_553586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X5,X3),s(X2,s(crossbar(X0,X1,X2,X4,X5,X3),X2)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_480255]) ).
tcf(c_553587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(crossbar(X0,X1,X2,X4,X5,X3),X5,s(crossbar(X0,X1,X2,X4,X5,X3),s(X1,crossbar(X0,X1,X2,X4,X5,X3))))
| s_t(crossbar(X0,X1,X2,X4,X5,X3),s(crossbar(X0,X1,X2,X4,X5,X3),s(X1,crossbar(X0,X1,X2,X4,X5,X3))),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_480652]) ).
tcf(c_553588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,s(crossbar(X0,X1,X2,X4,X5,X3),s(X1,crossbar(X0,X1,X2,X4,X5,X3))))
| s_t(X1,s(crossbar(X0,X1,X2,X4,X5,X3),s(X1,crossbar(X0,X1,X2,X4,X5,X3))),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_480605]) ).
tcf(c_553589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,s(X5,s(crossbar(X0,X1,X2,X4,X5,X3),X5)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_480320]) ).
tcf(c_553590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),s(X5,s(crossbar(X0,X1,X2,X4,X5,X3),X5)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552664,c_480317]) ).
tcf(c_553989,plain,
! [X0: $i,X1: $i] : s_col(s(X0,X1),s(s(X0,X1),X1),X0),
inference(superposition,[status(thm)],[c_161,c_553531]) ).
tcf(c_553991,plain,
! [X0: $i,X1: $i] :
( s_t(X1,X0,s(X0,s(X1,X0)))
| s_t(X0,s(X0,s(X1,X0)),X1)
| s_t(s(X0,s(X1,X0)),X1,X0) ),
inference(superposition,[status(thm)],[c_553531,c_222]) ).
tcf(c_553992,plain,
! [X0: $i,X1: $i] :
( ( s(X0,s(X1,X0)) = X1 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_r(X0,s(X0,s(X1,X0)),X1) ),
inference(superposition,[status(thm)],[c_553531,c_187]) ).
tcf(c_553993,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,X0,X2)
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_r(s(X0,s(X1,X0)),X0,X2) ),
inference(superposition,[status(thm)],[c_553531,c_181]) ).
tcf(c_553994,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X1 = X2 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X1)
| ~ s_col(X0,s(X0,s(X1,X0)),X3)
| ~ s_col(X0,s(X0,s(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_553531,c_152]) ).
tcf(c_553995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| ( X1 = X2 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(X0,s(X0,s(X1,X0)),X3)
| ~ s_col(X0,s(X0,s(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_553531,c_151]) ).
tcf(c_553996,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(X0,s(X0,s(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_553531,c_148]) ).
tcf(c_553997,plain,
! [X0: $i,X1: $i] :
( sameside(X0,s(X0,s(X1,X0)),X1)
| s_t(X0,s(X0,s(X1,X0)),X1) ),
inference(superposition,[status(thm)],[c_553531,c_134]) ).
tcf(c_553998,plain,
! [X0: $i,X1: $i] : s_col(X0,X1,s(X0,s(X1,X0))),
inference(superposition,[status(thm)],[c_553531,c_98]) ).
tcf(c_553999,plain,
! [X0: $i,X1: $i] : s_col(s(X0,s(X1,X0)),X0,X1),
inference(superposition,[status(thm)],[c_553531,c_97]) ).
tcf(c_554000,plain,
! [X0: $i,X1: $i] : s_col(X0,s(X1,s(X0,X1)),X1),
inference(superposition,[status(thm)],[c_553531,c_96]) ).
tcf(c_554003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,s(X0,s(X1,X0)),X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X1 = X2 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_r(X1,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,s(X0,s(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_553531,c_200]) ).
tcf(c_554158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(ext(X0,X1,X2,X3),X1,X0)
| sameside(ext(X0,X1,X2,X3),X1,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_100,c_481634]) ).
tcf(c_554159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X0)
| sameside(X0,X1,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_484594,c_481634]) ).
tcf(c_554160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ext(ext(X0,X1,X2,X3),X1,X4,X5),X1,X0)
| sameside(ext(ext(X0,X1,X2,X3),X1,X4,X5),X1,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( ext(ext(X0,X1,X2,X3),X1,X4,X5) = X1 ) ),
inference(superposition,[status(thm)],[c_484605,c_481634]) ).
tcf(c_554161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ext(X0,ext(X1,X0,X2,X3),X4,X5),X0,X1)
| sameside(ext(X0,ext(X1,X0,X2,X3),X4,X5),X0,ext(X1,X0,X2,X3))
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( ext(X0,ext(X1,X0,X2,X3),X4,X5) = X0 ) ),
inference(superposition,[status(thm)],[c_484709,c_481634]) ).
tcf(c_554163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(ext(X0,X1,X2,X3),X1),X1,X0)
| sameside(s(ext(X0,X1,X2,X3),X1),X1,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( s(ext(X0,X1,X2,X3),X1) = X1 ) ),
inference(superposition,[status(thm)],[c_485947,c_481634]) ).
tcf(c_554164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(X0,ext(X1,X0,X2,X3)),X0,X1)
| sameside(s(X0,ext(X1,X0,X2,X3)),X0,ext(X1,X0,X2,X3))
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( s(X0,ext(X1,X0,X2,X3)) = X0 ) ),
inference(superposition,[status(thm)],[c_486077,c_481634]) ).
tcf(c_554165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ext(ext(ext(X0,X1,X2,X3),X1,alpha,gamma),X1,X4,X5),X1,X0)
| sameside(ext(ext(ext(X0,X1,X2,X3),X1,alpha,gamma),X1,X4,X5),X1,ext(X0,X1,X2,X3))
| ( X4 = X5 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( ext(ext(ext(X0,X1,X2,X3),X1,alpha,gamma),X1,X4,X5) = X1 ) ),
inference(superposition,[status(thm)],[c_481511,c_481634]) ).
tcf(c_554166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(s(ext(X0,X1,X2,X3),X1),X1),X1,X0)
| sameside(s(s(ext(X0,X1,X2,X3),X1),X1),X1,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( s(s(ext(X0,X1,X2,X3),X1),X1) = X1 ) ),
inference(superposition,[status(thm)],[c_517628,c_481634]) ).
tcf(c_554167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)),X0,X1)
| sameside(s(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)),X0,ext(X1,X0,X2,X3))
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( s(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)) = X0 ) ),
inference(superposition,[status(thm)],[c_519198,c_481634]) ).
tcf(c_554168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ext(X0,s(ext(X1,X0,X2,X3),X0),X4,X5),X0,X1)
| sameside(ext(X0,s(ext(X1,X0,X2,X3),X0),X4,X5),X0,ext(X1,X0,X2,X3))
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( ext(X0,s(ext(X1,X0,X2,X3),X0),X4,X5) = X0 ) ),
inference(superposition,[status(thm)],[c_523154,c_481634]) ).
tcf(c_554169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(s(s(ext(X0,X1,X2,X3),X1),X1),X1),X1,X0)
| sameside(s(s(s(ext(X0,X1,X2,X3),X1),X1),X1),X1,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( s(s(s(ext(X0,X1,X2,X3),X1),X1),X1) = X1 ) ),
inference(superposition,[status(thm)],[c_529294,c_481634]) ).
tcf(c_554170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ext(ext(X0,X1,X2,X3),s(X1,ext(X0,X1,X2,X3)),X4,X5),X1,X0)
| sameside(ext(ext(X0,X1,X2,X3),s(X1,ext(X0,X1,X2,X3)),X4,X5),X1,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( ext(ext(X0,X1,X2,X3),s(X1,ext(X0,X1,X2,X3)),X4,X5) = X1 ) ),
inference(superposition,[status(thm)],[c_535611,c_481634]) ).
tcf(c_554171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(s(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)),X0,X1)
| sameside(s(s(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)),X0,ext(X1,X0,X2,X3))
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( s(s(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)) = X0 ) ),
inference(superposition,[status(thm)],[c_543640,c_481634]) ).
tcf(c_554172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(ext(X0,X1,X2,X3),ext(ext(X0,X1,X2,X3),X1,X4,X5)),X1,X0)
| sameside(s(ext(X0,X1,X2,X3),ext(ext(X0,X1,X2,X3),X1,X4,X5)),X1,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( s(ext(X0,X1,X2,X3),ext(ext(X0,X1,X2,X3),X1,X4,X5)) = X1 ) ),
inference(superposition,[status(thm)],[c_548057,c_481634]) ).
tcf(c_554173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(X0,ext(X0,ext(X1,X0,X2,X3),X4,X5)),X0,X1)
| sameside(s(X0,ext(X0,ext(X1,X0,X2,X3),X4,X5)),X0,ext(X1,X0,X2,X3))
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( s(X0,ext(X0,ext(X1,X0,X2,X3),X4,X5)) = X0 ) ),
inference(superposition,[status(thm)],[c_548461,c_481634]) ).
tcf(c_554174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(ext(X0,ext(X1,X0,X2,X3),X4,X5),X0),X0,X1)
| sameside(s(ext(X0,ext(X1,X0,X2,X3),X4,X5),X0),X0,ext(X1,X0,X2,X3))
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( s(ext(X0,ext(X1,X0,X2,X3),X4,X5),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_499648,c_481634]) ).
tcf(c_554175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(ext(ext(X0,X1,X2,X3),X1,X4,X5),ext(X0,X1,X2,X3)),X1,X0)
| sameside(s(ext(ext(X0,X1,X2,X3),X1,X4,X5),ext(X0,X1,X2,X3)),X1,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( s(ext(ext(X0,X1,X2,X3),X1,X4,X5),ext(X0,X1,X2,X3)) = X1 ) ),
inference(superposition,[status(thm)],[c_503148,c_481634]) ).
tcf(c_554176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,ext(X2,X1,X3,X3))
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X1,X3,X3) = X1 )
| ~ s_col(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_480032,c_481634]) ).
tcf(c_554178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(ext(X0,X1,X2,X3),X1,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_554158,c_481337]) ).
tcf(c_554182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(X0,ext(X1,X0,X2,X3)),X0,X1)
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( s(X0,ext(X1,X0,X2,X3)) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_554164,c_486082]) ).
tcf(c_554202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ext(ext(X0,X1,X2,X3),X1,X4,X5),X1,X0)
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( ext(ext(X0,X1,X2,X3),X1,X4,X5) = X1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_554160,c_481337]) ).
tcf(c_554227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)),X0,X1)
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( s(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)) = X0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_554167,c_520064]) ).
tcf(c_554305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(ext(ext(ext(X0,X1,X2,X3),X1,alpha,gamma),X1,X4,X5),X1,X0)
| ( X4 = X5 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_138,c_481726]) ).
tcf(c_554307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(ext(ext(X0,X1,alpha,gamma),X1,X5,X6),X1,X2)
| ( X5 = X6 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481509,c_481726]) ).
tcf(c_554308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,ext(X0,X1,alpha,gamma))
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(X0,X1,alpha,gamma) = X1 )
| ( ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_481510,c_481726]) ).
tcf(c_554310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(ext(X4,X1,X5,X6),X1,X0)
| ( X1 = X4 )
| ( X0 = X1 )
| ( ext(X4,X1,X5,X6) = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481338,c_481726]) ).
tcf(c_554340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ip(X3,X4,X2,X0,X1),X4)
| s_t(X0,ip(X3,X4,X2,X0,X1),X0)
| ( ip(X3,X4,X2,X0,X1) = X4 )
| ( ip(X3,X4,X2,X0,X1) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481403,c_481727]) ).
tcf(c_554341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ip(X3,X4,X2,X0,X1),X4)
| ( ip(X3,X4,X2,X0,X1) = X4 )
| ( ip(X3,X4,X2,X0,X1) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_135,c_481727]) ).
tcf(c_554342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(ext(ext(X0,ip(X3,X4,X2,X0,X1),alpha,gamma),ip(X3,X4,X2,X0,X1),X5,X6),ip(X3,X4,X2,X0,X1),X4)
| ( X5 = X6 )
| ( ip(X3,X4,X2,X0,X1) = X4 )
| ( ip(X3,X4,X2,X0,X1) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_138,c_481727]) ).
tcf(c_554343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485798,c_481727]) ).
tcf(c_554344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(ext(ext(X0,ip(X1,X2,X3,X4,X5),alpha,gamma),ip(X1,X2,X3,X4,X5),X6,X7),ip(X1,X2,X3,X4,X5),X2)
| ( X6 = X7 )
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ( ip(X1,X2,X3,X4,X5) = X2 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_481509,c_481727]) ).
tcf(c_554345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(ext(X5,ip(X1,X2,X3,X0,X4),X6,X7),ip(X1,X2,X3,X0,X4),X2)
| ( ip(X1,X2,X3,X0,X4) = X5 )
| ( ip(X1,X2,X3,X0,X4) = X2 )
| ( ip(X1,X2,X3,X0,X4) = X0 )
| ( ext(X5,ip(X1,X2,X3,X0,X4),X6,X7) = ip(X1,X2,X3,X0,X4) )
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X4,X3)
| ~ s_t(X0,ip(X1,X2,X3,X0,X4),X5) ),
inference(superposition,[status(thm)],[c_481338,c_481727]) ).
tcf(c_554385,plain,
! [X0: $i,X1: $i] : s_col(s(s(X0,X1),X1),X0,s(X0,X1)),
inference(superposition,[status(thm)],[c_161,c_553532]) ).
tcf(c_554388,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_r(s(X0,s(X1,X0)),X1,X0) ),
inference(superposition,[status(thm)],[c_553532,c_187]) ).
tcf(c_554389,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,s(X1,s(X0,X1)),X2)
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_r(X0,s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_553532,c_181]) ).
tcf(c_554390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X0 = X2 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X0)
| ~ s_col(s(X0,s(X1,X0)),X1,X3)
| ~ s_col(s(X0,s(X1,X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_553532,c_152]) ).
tcf(c_554391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X2,X3)
| ( X0 = X2 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(s(X0,s(X1,X0)),X1,X3)
| ~ s_col(s(X0,s(X1,X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_553532,c_151]) ).
tcf(c_554392,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X0,X2)
| ( s(X0,s(X1,X0)) = X1 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(s(X0,s(X1,X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_553532,c_148]) ).
tcf(c_554393,plain,
! [X0: $i,X1: $i] :
( sameside(s(X0,s(X1,X0)),X1,X0)
| s_t(s(X0,s(X1,X0)),X1,X0) ),
inference(superposition,[status(thm)],[c_553532,c_134]) ).
tcf(c_554399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(s(X0,s(X1,X0)),X1,X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X0 = X2 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_r(X0,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(s(X0,s(X1,X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_553532,c_200]) ).
tcf(c_554400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(X1,s(ip(X0,X1,X2,X3,X4),X1)),ip(X0,X1,X2,X3,X4),X3)
| sameside(s(X1,s(ip(X0,X1,X2,X3,X4),X1)),ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(X1,s(ip(X0,X1,X2,X3,X4),X1)) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553532,c_481625]) ).
tcf(c_554401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(X4,s(ip(X0,X1,X2,X3,X4),X4)),ip(X0,X1,X2,X3,X4),X4)
| sameside(s(X4,s(ip(X0,X1,X2,X3,X4),X4)),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(X4,s(ip(X0,X1,X2,X3,X4),X4)) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553532,c_481626]) ).
tcf(c_554402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(ext(X0,X1,X2,X3),s(X1,ext(X0,X1,X2,X3))),X1,X0)
| sameside(s(ext(X0,X1,X2,X3),s(X1,ext(X0,X1,X2,X3))),X1,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( s(ext(X0,X1,X2,X3),s(X1,ext(X0,X1,X2,X3))) = X1 ) ),
inference(superposition,[status(thm)],[c_553532,c_481634]) ).
tcf(c_554403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(X3,s(crossbar(X0,X1,X2,X4,X5,X3),X3)),crossbar(X0,X1,X2,X4,X5,X3),X3)
| sameside(s(X3,s(crossbar(X0,X1,X2,X4,X5,X3),X3)),crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( s(X3,s(crossbar(X0,X1,X2,X4,X5,X3),X3)) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553532,c_481629]) ).
tcf(c_554404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(X1,s(crossbar(X0,X1,X2,X4,X5,X3),X1)),crossbar(X0,X1,X2,X4,X5,X3),X5)
| sameside(s(X1,s(crossbar(X0,X1,X2,X4,X5,X3),X1)),crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( s(X1,s(crossbar(X0,X1,X2,X4,X5,X3),X1)) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553532,c_481630]) ).
tcf(c_554534,plain,
! [X0: $i,X1: $i] : s_col(X0,s(X0,X1),s(s(X0,X1),X1)),
inference(superposition,[status(thm)],[c_161,c_553533]) ).
tcf(c_554537,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X1,s(X0,X1)) = X1 )
| ~ s_r(X0,X1,s(X1,s(X0,X1))) ),
inference(superposition,[status(thm)],[c_553533,c_187]) ).
tcf(c_554538,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(s(X0,s(X1,X0)),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553533,c_181]) ).
tcf(c_554539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,s(X3,X2)) = X4 )
| ~ s_col(X3,X2,X5)
| ~ s_col(X3,X2,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,s(X2,s(X3,X2))) ),
inference(superposition,[status(thm)],[c_553533,c_152]) ).
tcf(c_554540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(X1,s(X0,X1)),X2,X3)
| ( X0 = X1 )
| ( s(X1,s(X0,X1)) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553533,c_151]) ).
tcf(c_554541,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(X0,X1)),X2)
| ( X0 = X1 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553533,c_148]) ).
tcf(c_554548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X1,X0,X2,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = X2 )
| ~ s_col(X4,X5,X3)
| ~ s_col(X4,X5,X2)
| ~ s_col(X1,X0,X2)
| ~ s_r(s(X0,s(X1,X0)),X2,X3) ),
inference(superposition,[status(thm)],[c_553533,c_200]) ).
tcf(c_554609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ip(X0,X1,X2,X3,X4),X4)
| s_t(X0,ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481403,c_481728]) ).
tcf(c_554611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(ext(ext(X0,ip(X0,X1,X2,X3,X4),alpha,gamma),ip(X0,X1,X2,X3,X4),X5,X6),ip(X0,X1,X2,X3,X4),X4)
| ( X5 = X6 )
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_138,c_481728]) ).
tcf(c_554612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ip(X0,X1,X2,X3,X4),X4)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485798,c_481728]) ).
tcf(c_554613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(ext(ext(X0,ip(X1,X2,X3,X4,X5),alpha,gamma),ip(X1,X2,X3,X4,X5),X6,X7),ip(X1,X2,X3,X4,X5),X5)
| ( X6 = X7 )
| ( ip(X1,X2,X3,X4,X5) = X5 )
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_481509,c_481728]) ).
tcf(c_554614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(ext(X5,ip(X0,X1,X2,X3,X4),X6,X7),ip(X0,X1,X2,X3,X4),X4)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( ext(X5,ip(X0,X1,X2,X3,X4),X6,X7) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X0,ip(X0,X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_481338,c_481728]) ).
tcf(c_554690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X2,crossbar(X0,X1,X2,X4,X5,X3),X3)
| s_t(X2,crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481403,c_481731]) ).
tcf(c_554692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(ext(ext(X2,crossbar(X0,X1,X2,X4,X5,X3),alpha,gamma),crossbar(X0,X1,X2,X4,X5,X3),X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X3)
| ( X6 = X7 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_138,c_481731]) ).
tcf(c_554693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X2,crossbar(X0,X1,X2,X4,X5,X3),X3)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485798,c_481731]) ).
tcf(c_554694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_col(ext(ext(X0,crossbar(X1,X2,X3,X4,X5,X6),alpha,gamma),crossbar(X1,X2,X3,X4,X5,X6),X7,X8),crossbar(X1,X2,X3,X4,X5,X6),X6)
| ( X7 = X8 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X6 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_481509,c_481731]) ).
tcf(c_554695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_col(ext(X6,crossbar(X1,X2,X0,X3,X4,X5),X7,X8),crossbar(X1,X2,X0,X3,X4,X5),X5)
| ( crossbar(X1,X2,X0,X3,X4,X5) = X6 )
| ( crossbar(X1,X2,X0,X3,X4,X5) = X5 )
| ( crossbar(X1,X2,X0,X3,X4,X5) = X0 )
| ( ext(X6,crossbar(X1,X2,X0,X3,X4,X5),X7,X8) = crossbar(X1,X2,X0,X3,X4,X5) )
| ~ s_t(X3,X4,X0)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X2,X0)
| ~ s_t(X0,crossbar(X1,X2,X0,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_481338,c_481731]) ).
tcf(c_554748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X5,crossbar(X0,X1,X2,X4,X5,X3),X1)
| s_t(X5,crossbar(X0,X1,X2,X4,X5,X3),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481403,c_481732]) ).
tcf(c_554750,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(ext(ext(X5,crossbar(X0,X1,X2,X4,X5,X3),alpha,gamma),crossbar(X0,X1,X2,X4,X5,X3),X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( X6 = X7 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_138,c_481732]) ).
tcf(c_554751,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X5,crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485798,c_481732]) ).
tcf(c_554752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_col(ext(ext(X0,crossbar(X1,X2,X3,X4,X5,X6),alpha,gamma),crossbar(X1,X2,X3,X4,X5,X6),X7,X8),crossbar(X1,X2,X3,X4,X5,X6),X2)
| ( X7 = X8 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X2 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_481509,c_481732]) ).
tcf(c_554753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_col(ext(X6,crossbar(X1,X2,X3,X4,X0,X5),X7,X8),crossbar(X1,X2,X3,X4,X0,X5),X2)
| ( crossbar(X1,X2,X3,X4,X0,X5) = X6 )
| ( crossbar(X1,X2,X3,X4,X0,X5) = X2 )
| ( crossbar(X1,X2,X3,X4,X0,X5) = X0 )
| ( ext(X6,crossbar(X1,X2,X3,X4,X0,X5),X7,X8) = crossbar(X1,X2,X3,X4,X0,X5) )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X5,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X0,X5),X6) ),
inference(superposition,[status(thm)],[c_481338,c_481732]) ).
tcf(c_554924,plain,
! [X0: $i,X1: $i] : s_t(s(s(X0,X1),X1),s(X0,X1),X0),
inference(superposition,[status(thm)],[c_161,c_553551]) ).
tcf(c_554926,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(s(X0,s(X1,X0)),X0,X1,X3,X0,X2) = X0 )
| ~ s_t(X3,X0,X1)
| ~ s_t(s(X0,s(X1,X0)),X2,X3) ),
inference(superposition,[status(thm)],[c_553551,c_480316]) ).
tcf(c_554927,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(s(X0,s(X1,X0)),X0,X1,X2,X3,X1) = X1 )
| ~ s_t(X2,X3,X1)
| ~ s_t(s(X0,s(X1,X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_553551,c_480254]) ).
tcf(c_554928,plain,
! [X0: $i,X1: $i] :
( ( s(X0,s(X1,X0)) = X0 )
| ( ext(s(X0,s(X1,X0)),X0,X0,X1) = X1 ) ),
inference(superposition,[status(thm)],[c_553551,c_480013]) ).
tcf(c_554929,plain,
! [X0: $i,X1: $i] :
( ( s(X0,s(X1,X0)) = X0 )
| ( ext(s(X0,s(X1,X0)),X0,X1,X0) = X1 ) ),
inference(superposition,[status(thm)],[c_553551,c_480011]) ).
tcf(c_554930,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(s(X1,s(X2,X1)),X1,X2,X0,s(X1,s(X2,X1))) = s(X1,s(X2,X1)) )
| ~ s_t(X0,s(X1,s(X2,X1)),X2) ),
inference(superposition,[status(thm)],[c_553551,c_479924]) ).
tcf(c_554931,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(s(X0,s(X2,X0)),X0,X2,X0,X1) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553551,c_479914]) ).
tcf(c_554932,plain,
! [X0: $i,X1: $i] :
( sameside(X1,s(X0,s(X1,X0)),X0)
| ( s(X0,s(X1,X0)) = X1 )
| ( s(X0,s(X1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_553551,c_238]) ).
tcf(c_554933,plain,
! [X0: $i,X1: $i] :
( sameside(X0,s(X0,s(X1,X0)),X1)
| ( s(X0,s(X1,X0)) = xb )
| ( s(X0,s(X1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_553551,c_237]) ).
tcf(c_554938,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,s(X1,s(X2,X1)),X2)
| s_t(s(X1,s(X2,X1)),X0,X2)
| ( X1 = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553551,c_147]) ).
tcf(c_554939,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,s(X1,s(X2,X1)))
| ( X1 = X2 )
| ( s(X1,s(X2,X1)) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553551,c_145]) ).
tcf(c_554940,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,s(X1,s(X2,X1)))
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(X1,s(X2,X1)) = X1 )
| ~ s_col(X0,X1,s(X1,s(X2,X1))) ),
inference(superposition,[status(thm)],[c_553551,c_143]) ).
tcf(c_554941,plain,
! [X0: $i,X1: $i] : ~ sameside(s(X0,s(X1,X0)),X0,X1),
inference(superposition,[status(thm)],[c_553551,c_133]) ).
tcf(c_554942,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(s(X1,s(X2,X1)),X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(X1,s(X2,X1)) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553551,c_131]) ).
tcf(c_554943,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,X1)
| ( X0 = X2 )
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ sameside(s(X0,s(X1,X0)),X0,X2) ),
inference(superposition,[status(thm)],[c_553551,c_125]) ).
tcf(c_554944,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,s(X1,X0)),X2,X0)
| s_t(s(X0,s(X1,X0)),X0,X2)
| ~ s_t(s(X0,s(X1,X0)),X2,X1) ),
inference(superposition,[status(thm)],[c_553551,c_109]) ).
tcf(c_554945,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,X1)
| s_t(X0,X1,X2)
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_t(s(X0,s(X1,X0)),X0,X2) ),
inference(superposition,[status(thm)],[c_553551,c_108]) ).
tcf(c_554946,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,s(X1,X0)),X2,X1)
| s_t(s(X0,s(X1,X0)),X1,X2)
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_t(s(X0,s(X1,X0)),X0,X2) ),
inference(superposition,[status(thm)],[c_553551,c_107]) ).
tcf(c_554947,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,s(X1,X0)),X0,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553551,c_81]) ).
tcf(c_554948,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,s(X1,X0)),X0,X2)
| ~ s_t(s(X0,s(X1,X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_553551,c_80]) ).
tcf(c_554949,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,s(X2,X0)),X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553551,c_79]) ).
tcf(c_554950,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,s(X1,X0)),X1,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553551,c_78]) ).
tcf(c_554951,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,X2)
| ~ s_t(s(X0,s(X1,X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_553551,c_77]) ).
tcf(c_554952,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,s(X2,X0)),X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553551,c_76]) ).
tcf(c_554953,plain,
! [X0: $i,X1: $i] :
( ( s(X0,s(X1,X0)) = X0 )
| ~ s_t(X0,s(X0,s(X1,X0)),X1) ),
inference(superposition,[status(thm)],[c_553551,c_75]) ).
tcf(c_554955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,X0,s(X0,s(ext(X1,X0,X2,X3),X0)))
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( s(X0,s(ext(X1,X0,X2,X3),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_553551,c_481222]) ).
tcf(c_554956,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X0,s(ext(X1,X0,X2,X3),X0)) = X0 )
| ( ext(s(X0,s(ext(X1,X0,X2,X3),X0)),X0,X2,X3) = ext(X1,X0,X2,X3) ) ),
inference(superposition,[status(thm)],[c_553551,c_480012]) ).
tcf(c_554957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X4),s(ip(X0,X1,X2,X3,X4),s(X3,ip(X0,X1,X2,X3,X4))))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(ip(X0,X1,X2,X3,X4),s(X3,ip(X0,X1,X2,X3,X4))) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553551,c_481223]) ).
tcf(c_554958,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),s(ip(X0,X1,X2,X3,X4),s(X0,ip(X0,X1,X2,X3,X4))))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(ip(X0,X1,X2,X3,X4),s(X0,ip(X0,X1,X2,X3,X4))) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553551,c_481224]) ).
tcf(c_554959,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,s(X1,s(ins(X2,X3,X0,X1),X1)))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ( s(X1,s(ins(X2,X3,X0,X1),X1)) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_553551,c_481229]) ).
tcf(c_554960,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,X1,s(X1,s(c63(X0,X1,X2),X1)))
| ( X1 = X2 )
| ( s(X1,s(c63(X0,X1,X2),X1)) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553551,c_543337]) ).
tcf(c_554961,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,s(X1,s(c63(X0,X1,X2),X1)))
| ( X0 = X1 )
| ( s(X1,s(c63(X0,X1,X2),X1)) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553551,c_542847]) ).
tcf(c_554962,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X0,s(ins(X2,X3,X0,X1),X0)) = X0 )
| ( ext(s(X0,s(ins(X2,X3,X0,X1),X0)),X0,X2,X3) = ins(X2,X3,X0,X1) )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_553551,c_480795]) ).
tcf(c_554963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,crossbar(X0,X1,X2,X4,X5,X3),s(crossbar(X0,X1,X2,X4,X5,X3),s(X2,crossbar(X0,X1,X2,X4,X5,X3))))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( s(crossbar(X0,X1,X2,X4,X5,X3),s(X2,crossbar(X0,X1,X2,X4,X5,X3))) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553551,c_481227]) ).
tcf(c_554964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X1,crossbar(X0,X1,X2,X4,X5,X3),s(crossbar(X0,X1,X2,X4,X5,X3),s(X5,crossbar(X0,X1,X2,X4,X5,X3))))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( s(crossbar(X0,X1,X2,X4,X5,X3),s(X5,crossbar(X0,X1,X2,X4,X5,X3))) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553551,c_481228]) ).
tcf(c_555168,plain,
! [X0: $i,X1: $i] : s_col(s(X0,X1),X0,s(s(X0,X1),X1)),
inference(superposition,[status(thm)],[c_161,c_553998]) ).
tcf(c_555171,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_r(X0,X1,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_553998,c_187]) ).
tcf(c_555172,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(s(X1,s(X0,X1)),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553998,c_181]) ).
tcf(c_555173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,s(X3,X2)) = X4 )
| ~ s_col(X2,X3,X5)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,s(X2,s(X3,X2))) ),
inference(superposition,[status(thm)],[c_553998,c_152]) ).
tcf(c_555174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(X0,s(X1,X0)),X2,X3)
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553998,c_151]) ).
tcf(c_555175,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,s(X1,X0)),X2)
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553998,c_148]) ).
tcf(c_555176,plain,
! [X0: $i,X1: $i] :
( sameside(X0,X1,s(X0,s(X1,X0)))
| s_t(X0,X1,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_553998,c_134]) ).
tcf(c_555182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,X1,X2,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = X2 )
| ~ s_col(X4,X5,X3)
| ~ s_col(X4,X5,X2)
| ~ s_col(X0,X1,X2)
| ~ s_r(s(X0,s(X1,X0)),X2,X3) ),
inference(superposition,[status(thm)],[c_553998,c_200]) ).
tcf(c_555227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(ins(X2,X3,X0,X1),X1,X0)
| s_t(ins(X2,X3,X0,X1),X1,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481403,c_481733]) ).
tcf(c_555229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(ext(ext(ins(X2,X3,X0,X1),X1,alpha,gamma),X1,X4,X5),X1,X0)
| ( X4 = X5 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_138,c_481733]) ).
tcf(c_555230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(ins(X2,X3,X0,X1),X1,X0)
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_485798,c_481733]) ).
tcf(c_555231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(ext(ext(X0,X1,alpha,gamma),X1,X5,X6),X1,X4)
| ( X5 = X6 )
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X4,X1) = X1 )
| ~ le(X4,X1,X2,X3)
| ~ sameside(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_481509,c_481733]) ).
tcf(c_555233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(ext(X4,X3,X5,X6),X3,X2)
| ( X3 = X4 )
| ( X2 = X3 )
| ( ins(X0,X1,X2,X3) = X3 )
| ( ext(X4,X3,X5,X6) = X3 )
| ~ le(X2,X3,X0,X1)
| ~ s_t(ins(X0,X1,X2,X3),X3,X4) ),
inference(superposition,[status(thm)],[c_481338,c_481733]) ).
tcf(c_555269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X2)
| ( X1 = X2 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,c63(X2,X1,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_481734,c_128]) ).
tcf(c_555282,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(c63(X0,X1,X2),X1,X0)
| s_t(c63(X0,X1,X2),X1,c63(X0,X1,X2))
| ( X0 = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481403,c_555269]) ).
tcf(c_555284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(ext(c63(X0,X1,X2),X1,alpha,gamma),X1,X3,X4),X1,X0)
| ( X3 = X4 )
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_138,c_555269]) ).
tcf(c_555285,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(c63(X0,X1,X2),X1,X0)
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485798,c_555269]) ).
tcf(c_555286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(ext(ext(X0,X1,alpha,gamma),X1,X4,X5),X1,X2)
| ( X4 = X5 )
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481509,c_555269]) ).
tcf(c_555288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(ext(X3,X1,X4,X5),X1,X0)
| ( X1 = X3 )
| ( X0 = X1 )
| ( c63(X0,X1,X2) = X1 )
| ( ext(X3,X1,X4,X5) = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(c63(X0,X1,X2),X1,X3) ),
inference(superposition,[status(thm)],[c_481338,c_555269]) ).
tcf(c_555289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X2)
| s_col(X0,X1,X3)
| ( X1 = X3 )
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X3,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553348,c_555269]) ).
tcf(c_555328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| ( X1 = X3 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,c63(X2,X1,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_481735,c_128]) ).
tcf(c_555341,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(c63(X0,X1,X2),X1,X2)
| s_t(c63(X0,X1,X2),X1,c63(X0,X1,X2))
| ( X1 = X2 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481403,c_555328]) ).
tcf(c_555343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(ext(c63(X0,X1,X2),X1,alpha,gamma),X1,X3,X4),X1,X2)
| ( X3 = X4 )
| ( X1 = X2 )
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_138,c_555328]) ).
tcf(c_555344,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(c63(X0,X1,X2),X1,X2)
| ( X1 = X2 )
| ( c63(X0,X1,X2) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485798,c_555328]) ).
tcf(c_555345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(ext(ext(X0,X1,alpha,gamma),X1,X4,X5),X1,X3)
| ( X4 = X5 )
| ( X1 = X3 )
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481509,c_555328]) ).
tcf(c_555346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X2)
| s_col(X0,X1,X3)
| ( X1 = X3 )
| ( X1 = X2 )
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553161,c_555328]) ).
tcf(c_555347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(ext(X3,X1,X4,X5),X1,X2)
| ( X1 = X3 )
| ( X1 = X2 )
| ( c63(X0,X1,X2) = X1 )
| ( ext(X3,X1,X4,X5) = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(c63(X0,X1,X2),X1,X3) ),
inference(superposition,[status(thm)],[c_481338,c_555328]) ).
tcf(c_555394,plain,
! [X0: $i,X1: $i] : s_col(s(s(X0,X1),X1),s(X0,X1),X0),
inference(superposition,[status(thm)],[c_161,c_553999]) ).
tcf(c_555397,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_r(s(X0,s(X1,X0)),X0,X1) ),
inference(superposition,[status(thm)],[c_553999,c_187]) ).
tcf(c_555398,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,s(X0,s(X1,X0)),X2)
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_r(X0,s(X0,s(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_553999,c_181]) ).
tcf(c_555399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X1 = X2 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X1)
| ~ s_col(s(X0,s(X1,X0)),X0,X3)
| ~ s_col(s(X0,s(X1,X0)),X0,X2) ),
inference(superposition,[status(thm)],[c_553999,c_152]) ).
tcf(c_555400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| ( X1 = X2 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(s(X0,s(X1,X0)),X0,X3)
| ~ s_col(s(X0,s(X1,X0)),X0,X2) ),
inference(superposition,[status(thm)],[c_553999,c_151]) ).
tcf(c_555401,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X1,X2)
| ( s(X0,s(X1,X0)) = X1 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(s(X0,s(X1,X0)),X0,X2) ),
inference(superposition,[status(thm)],[c_553999,c_148]) ).
tcf(c_555408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(s(X0,s(X1,X0)),X0,X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X1 = X2 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_r(X1,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(s(X0,s(X1,X0)),X0,X2) ),
inference(superposition,[status(thm)],[c_553999,c_200]) ).
tcf(c_555409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(ip(X0,X1,X2,X3,X4),s(X1,ip(X0,X1,X2,X3,X4))),ip(X0,X1,X2,X3,X4),X3)
| sameside(s(ip(X0,X1,X2,X3,X4),s(X1,ip(X0,X1,X2,X3,X4))),ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(ip(X0,X1,X2,X3,X4),s(X1,ip(X0,X1,X2,X3,X4))) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553999,c_481625]) ).
tcf(c_555410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(ip(X0,X1,X2,X3,X4),s(X4,ip(X0,X1,X2,X3,X4))),ip(X0,X1,X2,X3,X4),X4)
| sameside(s(ip(X0,X1,X2,X3,X4),s(X4,ip(X0,X1,X2,X3,X4))),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(ip(X0,X1,X2,X3,X4),s(X4,ip(X0,X1,X2,X3,X4))) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553999,c_481626]) ).
tcf(c_555411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(X0,s(ext(X1,X0,X2,X3),X0)),X0,X1)
| sameside(s(X0,s(ext(X1,X0,X2,X3),X0)),X0,ext(X1,X0,X2,X3))
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( s(X0,s(ext(X1,X0,X2,X3),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_553999,c_481634]) ).
tcf(c_555412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(crossbar(X0,X1,X2,X4,X5,X3),s(X3,crossbar(X0,X1,X2,X4,X5,X3))),crossbar(X0,X1,X2,X4,X5,X3),X3)
| sameside(s(crossbar(X0,X1,X2,X4,X5,X3),s(X3,crossbar(X0,X1,X2,X4,X5,X3))),crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( s(crossbar(X0,X1,X2,X4,X5,X3),s(X3,crossbar(X0,X1,X2,X4,X5,X3))) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553999,c_481629]) ).
tcf(c_555413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(crossbar(X0,X1,X2,X4,X5,X3),s(X1,crossbar(X0,X1,X2,X4,X5,X3))),crossbar(X0,X1,X2,X4,X5,X3),X5)
| sameside(s(crossbar(X0,X1,X2,X4,X5,X3),s(X1,crossbar(X0,X1,X2,X4,X5,X3))),crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( s(crossbar(X0,X1,X2,X4,X5,X3),s(X1,crossbar(X0,X1,X2,X4,X5,X3))) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553999,c_481630]) ).
tcf(c_555529,plain,
! [X0: $i,X1: $i] : s_col(X0,s(s(X0,X1),X1),s(X0,X1)),
inference(superposition,[status(thm)],[c_161,c_554000]) ).
tcf(c_555532,plain,
! [X0: $i,X1: $i] :
( ( s(X1,s(X0,X1)) = X1 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_r(X0,s(X1,s(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_554000,c_187]) ).
tcf(c_555533,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X0,X1,X2)
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_r(s(X0,s(X1,X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_554000,c_181]) ).
tcf(c_555534,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X1 = X2 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X1)
| ~ s_col(X0,s(X1,s(X0,X1)),X3)
| ~ s_col(X0,s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_554000,c_152]) ).
tcf(c_555535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| ( X1 = X2 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(X0,s(X1,s(X0,X1)),X3)
| ~ s_col(X0,s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_554000,c_151]) ).
tcf(c_555536,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(X0,s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_554000,c_148]) ).
tcf(c_555537,plain,
! [X0: $i,X1: $i] :
( sameside(X0,s(X1,s(X0,X1)),X1)
| s_t(X0,s(X1,s(X0,X1)),X1) ),
inference(superposition,[status(thm)],[c_554000,c_134]) ).
tcf(c_555543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,s(X1,s(X0,X1)),X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X1 = X2 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_r(X1,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_554000,c_200]) ).
tcf(c_555647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(X2,X1,X3,X4),X0)
| s_t(X0,X1,ext(X2,X1,X3,X4))
| s_t(ext(X2,X1,X3,X4),X0,X1)
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481736,c_222]) ).
tcf(c_555648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_r(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481736,c_187]) ).
tcf(c_555649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_r(ext(X2,X1,X4,X5),X0,X3)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X1,X4,X5) = X1 )
| ~ s_r(X1,X0,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481736,c_181]) ).
tcf(c_555650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_col(X0,X1,X8)
| ( X3 = X6 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(X2,X3,X4,X5) = X7 )
| ( ext(X2,X3,X4,X5) = X3 )
| ~ sameside(X6,X3,X2)
| ~ s_col(X6,X3,X8)
| ~ s_col(X6,X3,X7)
| ~ s_col(X0,X1,X7)
| ~ s_col(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_481736,c_152]) ).
tcf(c_555651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(ext(X4,X1,X5,X6),X2,X3)
| ( X1 = X4 )
| ( X0 = X1 )
| ( ext(X4,X1,X5,X6) = X2 )
| ( ext(X4,X1,X5,X6) = X1 )
| ~ sameside(X0,X1,X4)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481736,c_151]) ).
tcf(c_555652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,ext(X3,X1,X4,X5),X2)
| ( X1 = X3 )
| ( X0 = X1 )
| ( ext(X3,X1,X4,X5) = X1 )
| ( ext(X3,X1,X4,X5) = X0 )
| ~ sameside(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481736,c_148]) ).
tcf(c_555653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,ext(X2,X1,X3,X4))
| s_t(X0,X1,ext(X2,X1,X3,X4))
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481736,c_134]) ).
tcf(c_555654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X2,X1,X3,X4),X1)
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481736,c_98]) ).
tcf(c_555655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,ext(X2,X1,X3,X4))
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481736,c_97]) ).
tcf(c_555656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X2,X1,X3,X4),X1,X0)
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481736,c_96]) ).
tcf(c_555657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X2,X1,X3,X4),X0,X1)
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481736,c_95]) ).
tcf(c_555658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,ext(X2,X1,X3,X4),X0)
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481736,c_94]) ).
tcf(c_555659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( perpAt(X6,X1,X4,X7,X8)
| ( X7 = X8 )
| ( X4 = X5 )
| ( X1 = X6 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X4 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ sameside(X6,X1,X0)
| ~ s_col(X7,X8,X5)
| ~ s_col(X7,X8,X4)
| ~ s_col(X6,X1,X4)
| ~ s_r(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481736,c_200]) ).
tcf(c_555777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X0,ext(X0,X1,X2,X3))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_52,c_481802]) ).
tcf(c_555779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(ext(X0,X1,X2,X3),X1,X4,X5),ext(X0,X1,X2,X3))
| s_t(ext(ext(X0,X1,X2,X3),X1,X4,X5),X0,ext(X0,X1,X2,X3))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_480073,c_481802]) ).
tcf(c_555780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,s(X1,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3))
| s_t(s(X1,ext(X0,X1,X2,X3)),X0,ext(X0,X1,X2,X3))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_485941,c_481802]) ).
tcf(c_555781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,c63(ext(X0,X1,X2,X3),X1,X4),ext(X0,X1,X2,X3))
| s_t(c63(ext(X0,X1,X2,X3),X1,X4),X0,ext(X0,X1,X2,X3))
| ( ext(X0,X1,X2,X3) = X1 )
| ~ sameside(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481095,c_481802]) ).
tcf(c_555782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X0,X1,ext(X2,X1,X3,X4)),ext(X2,X1,X3,X4))
| s_t(c63(X0,X1,ext(X2,X1,X3,X4)),X2,ext(X2,X1,X3,X4))
| ( ext(X2,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481156,c_481802]) ).
tcf(c_555783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ext(X4,X0,X5,X6),ext(X1,X0,X2,X3))
| s_t(ext(X4,X0,X5,X6),X1,ext(X1,X0,X2,X3))
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_481348,c_481802]) ).
tcf(c_555784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(ext(X2,X1,X3,X4),X0,X5,X6),ext(X2,X1,X3,X4))
| s_t(ext(ext(X2,X1,X3,X4),X0,X5,X6),X2,ext(X2,X1,X3,X4))
| ( ext(X2,X1,X3,X4) = X1 )
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481345,c_481802]) ).
tcf(c_555785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,s(X0,ext(X2,X1,X3,X4)),ext(X2,X1,X3,X4))
| s_t(s(X0,ext(X2,X1,X3,X4)),X2,ext(X2,X1,X3,X4))
| ( ext(X2,X1,X3,X4) = X1 )
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_486090,c_481802]) ).
tcf(c_555786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X0,ext(X2,ins(X3,X4,X0,X1),X5,X6))
| s_t(X0,X2,ext(X2,ins(X3,X4,X0,X1),X5,X6))
| s_t(X0,ext(X2,ins(X3,X4,X0,X1),X5,X6),ins(X3,X4,X0,X1))
| ( X0 = X1 )
| ( ext(X2,ins(X3,X4,X0,X1),X5,X6) = ins(X3,X4,X0,X1) )
| ~ le(X0,X1,X3,X4)
| ~ s_t(X0,X1,ext(X2,ins(X3,X4,X0,X1),X5,X6)) ),
inference(superposition,[status(thm)],[c_480739,c_481802]) ).
tcf(c_555787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X1,ext(X2,ins(X3,X4,X0,X1),X5,X6))
| s_t(X1,X2,ext(X2,ins(X3,X4,X0,X1),X5,X6))
| s_t(X1,ext(X2,ins(X3,X4,X0,X1),X5,X6),ins(X3,X4,X0,X1))
| ( X0 = X1 )
| ( ext(X2,ins(X3,X4,X0,X1),X5,X6) = ins(X3,X4,X0,X1) )
| ~ le(X0,X1,X3,X4)
| ~ s_t(X0,X1,ext(X2,ins(X3,X4,X0,X1),X5,X6)) ),
inference(superposition,[status(thm)],[c_480738,c_481802]) ).
tcf(c_555788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ins(X4,X5,ext(X0,X1,X2,X3),X1),ext(X0,X1,X2,X3))
| s_t(ins(X4,X5,ext(X0,X1,X2,X3),X1),X0,ext(X0,X1,X2,X3))
| ( ext(X0,X1,X2,X3) = X1 )
| ~ le(ext(X0,X1,X2,X3),X1,X4,X5) ),
inference(superposition,[status(thm)],[c_480747,c_481802]) ).
tcf(c_555789,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(X1,X0,X5,X6),ext(X2,X1,X3,X4))
| s_t(ext(X1,X0,X5,X6),X2,ext(X2,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X2,X1,X3,X4) = X1 )
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_481346,c_481802]) ).
tcf(c_555790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,s(X1,s(ext(X0,X1,X2,X3),X1)),ext(X0,X1,X2,X3))
| s_t(s(X1,s(ext(X0,X1,X2,X3),X1)),X0,ext(X0,X1,X2,X3))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_553551,c_481802]) ).
tcf(c_555791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(X1,X0,X5,X6),ext(X2,X0,X3,X4))
| s_t(ext(X1,X0,X5,X6),X2,ext(X2,X0,X3,X4))
| ( X0 = X1 )
| ( ext(X2,X0,X3,X4) = X0 )
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481343,c_481802]) ).
tcf(c_555792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X0,ext(X1,ip(X2,X0,X3,X4,X5),X6,X7))
| s_t(X0,X1,ext(X1,ip(X2,X0,X3,X4,X5),X6,X7))
| s_t(X0,ext(X1,ip(X2,X0,X3,X4,X5),X6,X7),ip(X2,X0,X3,X4,X5))
| ( ext(X1,ip(X2,X0,X3,X4,X5),X6,X7) = ip(X2,X0,X3,X4,X5) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,ext(X1,ip(X2,X0,X3,X4,X5),X6,X7),X4) ),
inference(superposition,[status(thm)],[c_480702,c_481802]) ).
tcf(c_555793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X0,ext(X2,ip(X3,X0,X4,X1,X5),X6,X7))
| s_t(X0,X2,ext(X2,ip(X3,X0,X4,X1,X5),X6,X7))
| ( ext(X2,ip(X3,X0,X4,X1,X5),X6,X7) = ip(X3,X0,X4,X1,X5) )
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X5,X4)
| ~ s_t(X0,X1,ext(X2,ip(X3,X0,X4,X1,X5),X6,X7)) ),
inference(superposition,[status(thm)],[c_480205,c_481802]) ).
tcf(c_555794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ip(X5,X0,X6,X1,X7),ext(X2,X1,X3,X4))
| s_t(ip(X5,X0,X6,X1,X7),X2,ext(X2,X1,X3,X4))
| ( ext(X2,X1,X3,X4) = X1 )
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X7,X6)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480135,c_481802]) ).
tcf(c_555795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X0,ext(X1,ip(X2,X3,X4,X5,X0),X6,X7))
| s_t(X0,X1,ext(X1,ip(X2,X3,X4,X5,X0),X6,X7))
| s_t(X0,ext(X1,ip(X2,X3,X4,X5,X0),X6,X7),ip(X2,X3,X4,X5,X0))
| ( ext(X1,ip(X2,X3,X4,X5,X0),X6,X7) = ip(X2,X3,X4,X5,X0) )
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,ext(X1,ip(X2,X3,X4,X5,X0),X6,X7),X2) ),
inference(superposition,[status(thm)],[c_480703,c_481802]) ).
tcf(c_555796,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X0,ext(X2,ip(X1,X3,X4,X5,X0),X6,X7))
| s_t(X0,X2,ext(X2,ip(X1,X3,X4,X5,X0),X6,X7))
| ( ext(X2,ip(X1,X3,X4,X5,X0),X6,X7) = ip(X1,X3,X4,X5,X0) )
| ~ s_t(X5,X0,X4)
| ~ s_t(X1,X3,X4)
| ~ s_t(X0,X1,ext(X2,ip(X1,X3,X4,X5,X0),X6,X7)) ),
inference(superposition,[status(thm)],[c_480206,c_481802]) ).
tcf(c_555797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ip(X1,X5,X6,X7,X0),ext(X2,X1,X3,X4))
| s_t(ip(X1,X5,X6,X7,X0),X2,ext(X2,X1,X3,X4))
| ( ext(X2,X1,X3,X4) = X1 )
| ~ s_t(X7,X0,X6)
| ~ s_t(X1,X5,X6)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480136,c_481802]) ).
tcf(c_555798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X0,ext(X2,ext(X0,X1,X3,X4),X5,X6))
| s_t(X0,X2,ext(X2,ext(X0,X1,X3,X4),X5,X6))
| s_t(X0,ext(X2,ext(X0,X1,X3,X4),X5,X6),ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X2,ext(X0,X1,X3,X4),X5,X6) = ext(X0,X1,X3,X4) )
| ~ s_t(X0,X1,ext(X2,ext(X0,X1,X3,X4),X5,X6)) ),
inference(superposition,[status(thm)],[c_480599,c_481802]) ).
tcf(c_555799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X0,ext(X0,X1,X2,X3))
| s_t(X0,ext(X0,X1,X2,X3),X1)
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_480599,c_481802]) ).
tcf(c_555800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X0,ext(X2,c63(X0,X1,X3),X4,X5))
| s_t(X0,X2,ext(X2,c63(X0,X1,X3),X4,X5))
| s_t(X0,ext(X2,c63(X0,X1,X3),X4,X5),c63(X0,X1,X3))
| ( X0 = X1 )
| ( ext(X2,c63(X0,X1,X3),X4,X5) = c63(X0,X1,X3) )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,ext(X2,c63(X0,X1,X3),X4,X5)) ),
inference(superposition,[status(thm)],[c_481087,c_481802]) ).
tcf(c_555801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X0,ext(X2,c63(X3,X1,X0),X4,X5))
| s_t(X0,X2,ext(X2,c63(X3,X1,X0),X4,X5))
| s_t(X0,ext(X2,c63(X3,X1,X0),X4,X5),c63(X3,X1,X0))
| ( X0 = X1 )
| ( ext(X2,c63(X3,X1,X0),X4,X5) = c63(X3,X1,X0) )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,ext(X2,c63(X3,X1,X0),X4,X5)) ),
inference(superposition,[status(thm)],[c_481148,c_481802]) ).
tcf(c_555802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X1,ext(X2,ext(X0,X1,X3,X4),X5,X6))
| s_t(X1,X2,ext(X2,ext(X0,X1,X3,X4),X5,X6))
| s_t(X1,ext(X2,ext(X0,X1,X3,X4),X5,X6),ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ( ext(X2,ext(X0,X1,X3,X4),X5,X6) = ext(X0,X1,X3,X4) )
| ~ s_t(X0,X1,ext(X2,ext(X0,X1,X3,X4),X5,X6)) ),
inference(superposition,[status(thm)],[c_480646,c_481802]) ).
tcf(c_555804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,ext(X2,c63(X0,X1,X3),X4,X5))
| s_t(X1,X2,ext(X2,c63(X0,X1,X3),X4,X5))
| s_t(X1,ext(X2,c63(X0,X1,X3),X4,X5),c63(X0,X1,X3))
| ( X0 = X1 )
| ( ext(X2,c63(X0,X1,X3),X4,X5) = c63(X0,X1,X3) )
| ~ sameside(X0,X1,X3)
| ~ s_t(X0,X1,ext(X2,c63(X0,X1,X3),X4,X5)) ),
inference(superposition,[status(thm)],[c_481086,c_481802]) ).
tcf(c_555805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,ext(X2,c63(X3,X1,X0),X4,X5))
| s_t(X1,X2,ext(X2,c63(X3,X1,X0),X4,X5))
| s_t(X1,ext(X2,c63(X3,X1,X0),X4,X5),c63(X3,X1,X0))
| ( X0 = X1 )
| ( ext(X2,c63(X3,X1,X0),X4,X5) = c63(X3,X1,X0) )
| ~ sameside(X3,X1,X0)
| ~ s_t(X0,X1,ext(X2,c63(X3,X1,X0),X4,X5)) ),
inference(superposition,[status(thm)],[c_481147,c_481802]) ).
tcf(c_555806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,X0,ext(X1,crossbar(X2,X3,X4,X5,X6,X0),X7,X8))
| s_t(X0,X1,ext(X1,crossbar(X2,X3,X4,X5,X6,X0),X7,X8))
| s_t(X0,ext(X1,crossbar(X2,X3,X4,X5,X6,X0),X7,X8),crossbar(X2,X3,X4,X5,X6,X0))
| ( ext(X1,crossbar(X2,X3,X4,X5,X6,X0),X7,X8) = crossbar(X2,X3,X4,X5,X6,X0) )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X0,X5)
| ~ s_t(X0,ext(X1,crossbar(X2,X3,X4,X5,X6,X0),X7,X8),X4) ),
inference(superposition,[status(thm)],[c_480706,c_481802]) ).
tcf(c_555807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,X0,ext(X2,crossbar(X3,X4,X1,X5,X6,X0),X7,X8))
| s_t(X0,X2,ext(X2,crossbar(X3,X4,X1,X5,X6,X0),X7,X8))
| ( ext(X2,crossbar(X3,X4,X1,X5,X6,X0),X7,X8) = crossbar(X3,X4,X1,X5,X6,X0) )
| ~ s_t(X5,X6,X1)
| ~ s_t(X3,X4,X1)
| ~ s_t(X3,X0,X5)
| ~ s_t(X0,X1,ext(X2,crossbar(X3,X4,X1,X5,X6,X0),X7,X8)) ),
inference(superposition,[status(thm)],[c_480256,c_481802]) ).
tcf(c_555808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,crossbar(X5,X6,X1,X7,X8,X0),ext(X2,X1,X3,X4))
| s_t(crossbar(X5,X6,X1,X7,X8,X0),X2,ext(X2,X1,X3,X4))
| ( ext(X2,X1,X3,X4) = X1 )
| ~ s_t(X7,X8,X1)
| ~ s_t(X5,X6,X1)
| ~ s_t(X5,X0,X7)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480259,c_481802]) ).
tcf(c_555809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,X0,ext(X2,crossbar(X3,X0,X4,X5,X1,X6),X7,X8))
| s_t(X0,X2,ext(X2,crossbar(X3,X0,X4,X5,X1,X6),X7,X8))
| ( ext(X2,crossbar(X3,X0,X4,X5,X1,X6),X7,X8) = crossbar(X3,X0,X4,X5,X1,X6) )
| ~ s_t(X5,X1,X4)
| ~ s_t(X3,X6,X5)
| ~ s_t(X3,X0,X4)
| ~ s_t(X0,X1,ext(X2,crossbar(X3,X0,X4,X5,X1,X6),X7,X8)) ),
inference(superposition,[status(thm)],[c_480318,c_481802]) ).
tcf(c_555810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,crossbar(X5,X0,X6,X8,X1,X7),ext(X2,X1,X3,X4))
| s_t(crossbar(X5,X0,X6,X8,X1,X7),X2,ext(X2,X1,X3,X4))
| ( ext(X2,X1,X3,X4) = X1 )
| ~ s_t(X8,X1,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ s_t(X0,X1,ext(X2,X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_480321,c_481802]) ).
tcf(c_555811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,X0,ext(X1,crossbar(X2,X0,X3,X4,X5,X6),X7,X8))
| s_t(X0,X1,ext(X1,crossbar(X2,X0,X3,X4,X5,X6),X7,X8))
| s_t(X0,ext(X1,crossbar(X2,X0,X3,X4,X5,X6),X7,X8),crossbar(X2,X0,X3,X4,X5,X6))
| ( ext(X1,crossbar(X2,X0,X3,X4,X5,X6),X7,X8) = crossbar(X2,X0,X3,X4,X5,X6) )
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X0,X3)
| ~ s_t(X0,ext(X1,crossbar(X2,X0,X3,X4,X5,X6),X7,X8),X5) ),
inference(superposition,[status(thm)],[c_480707,c_481802]) ).
tcf(c_555812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,ext(X0,X1,X3,X4))
| s_t(X0,X2,ext(X0,X1,X3,X4))
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481019,c_481802]) ).
tcf(c_555813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,s(s(X1,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3))
| s_t(s(s(X1,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3)),X0,ext(X0,X1,X2,X3))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_517647,c_481802]) ).
tcf(c_555814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(ext(X0,X1,X2,X3),s(X1,ext(X0,X1,X2,X3)),X4,X5),ext(X0,X1,X2,X3))
| s_t(ext(ext(X0,X1,X2,X3),s(X1,ext(X0,X1,X2,X3)),X4,X5),X0,ext(X0,X1,X2,X3))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_523173,c_481802]) ).
tcf(c_555815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,s(s(s(X1,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3))
| s_t(s(s(s(X1,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3)),X0,ext(X0,X1,X2,X3))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_529313,c_481802]) ).
tcf(c_555816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,s(X1,ext(X1,ext(X0,X1,X2,X3),X4,X5)),ext(X0,X1,X2,X3))
| s_t(s(X1,ext(X1,ext(X0,X1,X2,X3),X4,X5)),X0,ext(X0,X1,X2,X3))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_548076,c_481802]) ).
tcf(c_555817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,s(ext(ext(X0,X1,X2,X3),X1,X4,X5),ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3))
| s_t(s(ext(ext(X0,X1,X2,X3),X1,X4,X5),ext(X0,X1,X2,X3)),X0,ext(X0,X1,X2,X3))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_499667,c_481802]) ).
tcf(c_555818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X0,ext(X2,X1,X3,X3))
| s_t(X0,X2,ext(X2,X1,X3,X3))
| ( ext(X2,X1,X3,X3) = X1 )
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_480032,c_481802]) ).
tcf(c_556381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X1,X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_56,c_481803]) ).
tcf(c_556382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X1,X0)
| s_t(X1,X3,X0)
| ( ip(X0,X1,X2,X0,X3) = X0 )
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_481803]) ).
tcf(c_556383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),X3)
| s_t(ip(X0,X1,X2,X3,X4),X1,X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_74,c_481803]) ).
tcf(c_556384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ext(X3,ip(X0,X1,X2,X3,X4),X5,X6),X3)
| s_t(ext(X3,ip(X0,X1,X2,X3,X4),X5,X6),X1,X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480073,c_481803]) ).
tcf(c_556385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,s(ip(X0,X1,X2,X3,X4),X3),X3)
| s_t(s(ip(X0,X1,X2,X3,X4),X3),X1,X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485941,c_481803]) ).
tcf(c_556386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,c63(X0,ip(X1,X2,X3,X0,X4),X5),X0)
| s_t(c63(X0,ip(X1,X2,X3,X0,X4),X5),X2,X0)
| ( ip(X1,X2,X3,X0,X4) = X0 )
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X4,X3)
| ~ sameside(X0,ip(X1,X2,X3,X0,X4),X5) ),
inference(superposition,[status(thm)],[c_481095,c_481803]) ).
tcf(c_556387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,c63(X0,ip(X1,X2,X3,X4,X5),X4),X4)
| s_t(c63(X0,ip(X1,X2,X3,X4,X5),X4),X2,X4)
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_481156,c_481803]) ).
tcf(c_556388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ext(X5,ip(X0,X1,X2,X3,X4),X6,X7),X3)
| s_t(ext(X5,ip(X0,X1,X2,X3,X4),X6,X7),X1,X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_481348,c_481803]) ).
tcf(c_556389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ext(X4,X0,X6,X7),X4)
| s_t(ext(X4,X0,X6,X7),X2,X4)
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_481345,c_481803]) ).
tcf(c_556390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,s(X0,X4),X4)
| s_t(s(X0,X4),X2,X4)
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_486090,c_481803]) ).
tcf(c_556391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X1,ins(X5,X6,X0,X1))
| s_t(X1,X3,ins(X5,X6,X0,X1))
| s_t(X1,ins(X5,X6,X0,X1),ip(X2,X3,X4,ins(X5,X6,X0,X1),X7))
| ( X0 = X1 )
| ( ip(X2,X3,X4,ins(X5,X6,X0,X1),X7) = ins(X5,X6,X0,X1) )
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,X5,X6)
| ~ s_t(ins(X5,X6,X0,X1),X7,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,ins(X5,X6,X0,X1),X7)) ),
inference(superposition,[status(thm)],[c_480738,c_481803]) ).
tcf(c_556392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X0,ins(X5,X6,X0,X1))
| s_t(X0,X3,ins(X5,X6,X0,X1))
| s_t(X0,ins(X5,X6,X0,X1),ip(X2,X3,X4,ins(X5,X6,X0,X1),X7))
| ( X0 = X1 )
| ( ip(X2,X3,X4,ins(X5,X6,X0,X1),X7) = ins(X5,X6,X0,X1) )
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,X5,X6)
| ~ s_t(ins(X5,X6,X0,X1),X7,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,ins(X5,X6,X0,X1),X7)) ),
inference(superposition,[status(thm)],[c_480739,c_481803]) ).
tcf(c_556393,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ins(X5,X6,X0,ip(X1,X2,X3,X0,X4)),X0)
| s_t(ins(X5,X6,X0,ip(X1,X2,X3,X0,X4)),X2,X0)
| ( ip(X1,X2,X3,X0,X4) = X0 )
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,X4,X3)
| ~ le(X0,ip(X1,X2,X3,X0,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480747,c_481803]) ).
tcf(c_556394,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ext(ip(X1,X2,X3,X4,X5),X0,X6,X7),X4)
| s_t(ext(ip(X1,X2,X3,X4,X5),X0,X6,X7),X2,X4)
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_481346,c_481803]) ).
tcf(c_556395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,s(ip(X0,X1,X2,X3,X4),s(X3,ip(X0,X1,X2,X3,X4))),X3)
| s_t(s(ip(X0,X1,X2,X3,X4),s(X3,ip(X0,X1,X2,X3,X4))),X1,X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553551,c_481803]) ).
tcf(c_556396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ext(X5,ip(X0,X1,X2,X3,X4),X6,X7),X3)
| s_t(ext(X5,ip(X0,X1,X2,X3,X4),X6,X7),X1,X3)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_481343,c_481803]) ).
tcf(c_556397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X1,X3)
| s_t(X1,X3,ip(X0,X1,X2,X3,X4))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_481803]) ).
tcf(c_556398,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,X0,ip(X4,X0,X5,X6,X7))
| s_t(X0,X2,ip(X4,X0,X5,X6,X7))
| s_t(X0,ip(X4,X0,X5,X6,X7),ip(X1,X2,X3,ip(X4,X0,X5,X6,X7),X8))
| ( ip(X1,X2,X3,ip(X4,X0,X5,X6,X7),X8) = ip(X4,X0,X5,X6,X7) )
| ~ s_t(X6,X7,X5)
| ~ s_t(X4,X0,X5)
| ~ s_t(X1,X2,X3)
| ~ s_t(ip(X4,X0,X5,X6,X7),X8,X3)
| ~ s_t(X0,ip(X1,X2,X3,ip(X4,X0,X5,X6,X7),X8),X6) ),
inference(superposition,[status(thm)],[c_480702,c_481803]) ).
tcf(c_556399,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X1,X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_481803]) ).
tcf(c_556400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ip(X8,X7,X6,ip(X0,X1,X2,X3,X4),X5),X3)
| s_t(ip(X8,X7,X6,ip(X0,X1,X2,X3,X4),X5),X1,X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X8,X7,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,ip(X0,X1,X2,X3,X4),X3)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480135,c_481803]) ).
tcf(c_556402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,X3)
| s_t(X1,X4,X3)
| s_t(X4,X3,ip(X0,X1,X2,X3,X4))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X4,X3,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_481803]) ).
tcf(c_556403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,X3)
| s_t(X1,X4,X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_481803]) ).
tcf(c_556404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,X0,ip(X4,X5,X6,X7,X0))
| s_t(X0,X2,ip(X4,X5,X6,X7,X0))
| s_t(X0,ip(X4,X5,X6,X7,X0),ip(X1,X2,X3,ip(X4,X5,X6,X7,X0),X8))
| ( ip(X1,X2,X3,ip(X4,X5,X6,X7,X0),X8) = ip(X4,X5,X6,X7,X0) )
| ~ s_t(X7,X0,X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X1,X2,X3)
| ~ s_t(ip(X4,X5,X6,X7,X0),X8,X3)
| ~ s_t(X0,ip(X1,X2,X3,ip(X4,X5,X6,X7,X0),X8),X4) ),
inference(superposition,[status(thm)],[c_480703,c_481803]) ).
tcf(c_556405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ip(ip(X0,X1,X2,X3,X4),X5,X6,X8,X7),X3)
| s_t(ip(ip(X0,X1,X2,X3,X4),X5,X6,X8,X7),X1,X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X8,X7,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,ip(X0,X1,X2,X3,X4),X3)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480136,c_481803]) ).
tcf(c_556406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,X3)
| s_t(X0,X1,X3)
| ( ip(X0,X1,X2,X3,X3) = X3 )
| ~ s_t(X3,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480075,c_481803]) ).
tcf(c_556407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X0,ext(X0,X1,X5,X6))
| s_t(X0,X3,ext(X0,X1,X5,X6))
| s_t(X0,ext(X0,X1,X5,X6),ip(X2,X3,X4,ext(X0,X1,X5,X6),X7))
| ( X0 = X1 )
| ( ip(X2,X3,X4,ext(X0,X1,X5,X6),X7) = ext(X0,X1,X5,X6) )
| ~ s_t(X2,X3,X4)
| ~ s_t(ext(X0,X1,X5,X6),X7,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,ext(X0,X1,X5,X6),X7)) ),
inference(superposition,[status(thm)],[c_480599,c_481803]) ).
tcf(c_556408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X0,c63(X0,X1,X5))
| s_t(X0,X3,c63(X0,X1,X5))
| s_t(X0,c63(X0,X1,X5),ip(X2,X3,X4,c63(X0,X1,X5),X6))
| ( X0 = X1 )
| ( ip(X2,X3,X4,c63(X0,X1,X5),X6) = c63(X0,X1,X5) )
| ~ sameside(X0,X1,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(c63(X0,X1,X5),X6,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,c63(X0,X1,X5),X6)) ),
inference(superposition,[status(thm)],[c_481087,c_481803]) ).
tcf(c_556409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X0,c63(X5,X1,X0))
| s_t(X0,X3,c63(X5,X1,X0))
| s_t(X0,c63(X5,X1,X0),ip(X2,X3,X4,c63(X5,X1,X0),X6))
| ( X0 = X1 )
| ( ip(X2,X3,X4,c63(X5,X1,X0),X6) = c63(X5,X1,X0) )
| ~ sameside(X5,X1,X0)
| ~ s_t(X2,X3,X4)
| ~ s_t(c63(X5,X1,X0),X6,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,c63(X5,X1,X0),X6)) ),
inference(superposition,[status(thm)],[c_481148,c_481803]) ).
tcf(c_556410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X1,ext(X0,X1,X5,X6))
| s_t(X1,X3,ext(X0,X1,X5,X6))
| s_t(X1,ext(X0,X1,X5,X6),ip(X2,X3,X4,ext(X0,X1,X5,X6),X7))
| ( X0 = X1 )
| ( ip(X2,X3,X4,ext(X0,X1,X5,X6),X7) = ext(X0,X1,X5,X6) )
| ~ s_t(X2,X3,X4)
| ~ s_t(ext(X0,X1,X5,X6),X7,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,ext(X0,X1,X5,X6),X7)) ),
inference(superposition,[status(thm)],[c_480646,c_481803]) ).
tcf(c_556411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X1,c63(X0,X1,X5))
| s_t(X1,X3,c63(X0,X1,X5))
| s_t(X1,c63(X0,X1,X5),ip(X2,X3,X4,c63(X0,X1,X5),X6))
| ( X0 = X1 )
| ( ip(X2,X3,X4,c63(X0,X1,X5),X6) = c63(X0,X1,X5) )
| ~ sameside(X0,X1,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(c63(X0,X1,X5),X6,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,c63(X0,X1,X5),X6)) ),
inference(superposition,[status(thm)],[c_481086,c_481803]) ).
tcf(c_556412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,X1,c63(X5,X1,X0))
| s_t(X1,X3,c63(X5,X1,X0))
| s_t(X1,c63(X5,X1,X0),ip(X2,X3,X4,c63(X5,X1,X0),X6))
| ( X0 = X1 )
| ( ip(X2,X3,X4,c63(X5,X1,X0),X6) = c63(X5,X1,X0) )
| ~ sameside(X5,X1,X0)
| ~ s_t(X2,X3,X4)
| ~ s_t(c63(X5,X1,X0),X6,X4)
| ~ s_t(X0,X1,ip(X2,X3,X4,c63(X5,X1,X0),X6)) ),
inference(superposition,[status(thm)],[c_481147,c_481803]) ).
tcf(c_556413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X2,X0,crossbar(X4,X5,X6,X7,X8,X0))
| s_t(X0,X2,crossbar(X4,X5,X6,X7,X8,X0))
| s_t(X0,crossbar(X4,X5,X6,X7,X8,X0),ip(X1,X2,X3,crossbar(X4,X5,X6,X7,X8,X0),X9))
| ( ip(X1,X2,X3,crossbar(X4,X5,X6,X7,X8,X0),X9) = crossbar(X4,X5,X6,X7,X8,X0) )
| ~ s_t(X7,X8,X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X4,X0,X7)
| ~ s_t(X1,X2,X3)
| ~ s_t(crossbar(X4,X5,X6,X7,X8,X0),X9,X3)
| ~ s_t(X0,ip(X1,X2,X3,crossbar(X4,X5,X6,X7,X8,X0),X9),X6) ),
inference(superposition,[status(thm)],[c_480706,c_481803]) ).
tcf(c_556414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X3,crossbar(X0,X1,ip(X2,X3,X4,X5,X6),X8,X9,X7),X5)
| s_t(crossbar(X0,X1,ip(X2,X3,X4,X5,X6),X8,X9,X7),X3,X5)
| ( ip(X2,X3,X4,X5,X6) = X5 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X7,X8)
| ~ s_t(X8,X9,ip(X2,X3,X4,X5,X6))
| ~ s_t(X7,ip(X2,X3,X4,X5,X6),X5)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480259,c_481803]) ).
tcf(c_556415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X2,crossbar(X8,X0,X7,X6,ip(X1,X2,X3,X4,X5),X9),X4)
| s_t(crossbar(X8,X0,X7,X6,ip(X1,X2,X3,X4,X5),X9),X2,X4)
| ( ip(X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X8,X9,X6)
| ~ s_t(X8,X0,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X6,ip(X1,X2,X3,X4,X5),X7)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X4) ),
inference(superposition,[status(thm)],[c_480321,c_481803]) ).
tcf(c_556416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X2,X0,crossbar(X4,X0,X5,X6,X7,X8))
| s_t(X0,X2,crossbar(X4,X0,X5,X6,X7,X8))
| s_t(X0,crossbar(X4,X0,X5,X6,X7,X8),ip(X1,X2,X3,crossbar(X4,X0,X5,X6,X7,X8),X9))
| ( ip(X1,X2,X3,crossbar(X4,X0,X5,X6,X7,X8),X9) = crossbar(X4,X0,X5,X6,X7,X8) )
| ~ s_t(X6,X7,X5)
| ~ s_t(X4,X8,X6)
| ~ s_t(X4,X0,X5)
| ~ s_t(X1,X2,X3)
| ~ s_t(crossbar(X4,X0,X5,X6,X7,X8),X9,X3)
| ~ s_t(X0,ip(X1,X2,X3,crossbar(X4,X0,X5,X6,X7,X8),X9),X7) ),
inference(superposition,[status(thm)],[c_480707,c_481803]) ).
tcf(c_556417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,s(s(ip(X0,X1,X2,X3,X4),X3),X3),X3)
| s_t(s(s(ip(X0,X1,X2,X3,X4),X3),X3),X1,X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517647,c_481803]) ).
tcf(c_556418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ext(X3,s(ip(X0,X1,X2,X3,X4),X3),X5,X6),X3)
| s_t(ext(X3,s(ip(X0,X1,X2,X3,X4),X3),X5,X6),X1,X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523173,c_481803]) ).
tcf(c_556419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,s(s(s(ip(X0,X1,X2,X3,X4),X3),X3),X3),X3)
| s_t(s(s(s(ip(X0,X1,X2,X3,X4),X3),X3),X3),X1,X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529313,c_481803]) ).
tcf(c_556420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,s(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X3,X5,X6)),X3)
| s_t(s(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X3,X5,X6)),X1,X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548076,c_481803]) ).
tcf(c_556421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,s(ext(X3,ip(X0,X1,X2,X3,X4),X5,X6),X3),X3)
| s_t(s(ext(X3,ip(X0,X1,X2,X3,X4),X5,X6),X3),X1,X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499667,c_481803]) ).
tcf(c_556422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,X3)
| s_t(X0,X1,X3)
| ( ip(X0,X1,X2,X3,X3) = X3 )
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_556406,c_74]) ).
tcf(c_556747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( X0 = X1 )
| ~ sameside(X0,X1,s(X1,s(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1))) ),
inference(superposition,[status(thm)],[c_481509,c_553538]) ).
tcf(c_556748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( s(X0,s(ext(X1,X0,X2,X3),X0)) = X0 )
| ~ s_t(s(X0,s(ext(X1,X0,X2,X3),X0)),X0,X1) ),
inference(superposition,[status(thm)],[c_481338,c_553538]) ).
tcf(c_556750,plain,
! [X0: $i,X1: $i] : ~ sameside(X0,s(X0,X1),s(s(X0,X1),X1)),
inference(superposition,[status(thm)],[c_161,c_553538]) ).
tcf(c_556791,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(X0,s(ext(X1,X0,X2,X3),X0)),X0,X1)
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( s(X0,s(ext(X1,X0,X2,X3),X0)) = X0 )
| ~ s_col(s(X0,s(ext(X1,X0,X2,X3),X0)),X0,X1) ),
inference(superposition,[status(thm)],[c_481624,c_554941]) ).
tcf(c_556792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(X0,s(ins(X1,X2,X3,X0),X0)),X0,X3)
| ( X0 = X3 )
| ( ins(X1,X2,X3,X0) = X0 )
| ( s(X0,s(ins(X1,X2,X3,X0),X0)) = X0 )
| ~ le(X3,X0,X1,X2)
| ~ s_col(s(X0,s(ins(X1,X2,X3,X0),X0)),X0,X3) ),
inference(superposition,[status(thm)],[c_481631,c_554941]) ).
tcf(c_556793,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(s(X0,s(c63(X1,X0,X2),X0)),X0,X1)
| ( X0 = X1 )
| ( s(X0,s(c63(X1,X0,X2),X0)) = X0 )
| ~ sameside(X1,X0,X2)
| ~ s_col(s(X0,s(c63(X1,X0,X2),X0)),X0,X1) ),
inference(superposition,[status(thm)],[c_553161,c_554941]) ).
tcf(c_556794,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(s(X0,s(c63(X1,X0,X2),X0)),X0,X2)
| ( X0 = X2 )
| ( s(X0,s(c63(X1,X0,X2),X0)) = X0 )
| ~ sameside(X1,X0,X2)
| ~ s_col(s(X0,s(c63(X1,X0,X2),X0)),X0,X2) ),
inference(superposition,[status(thm)],[c_553348,c_554941]) ).
tcf(c_556796,plain,
! [X0: $i,X1: $i] : ~ sameside(s(s(X0,X1),X1),s(X0,X1),X0),
inference(superposition,[status(thm)],[c_161,c_554941]) ).
tcf(c_556866,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X4,X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_57,c_481804]) ).
tcf(c_556867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),X0)
| s_t(ip(X0,X1,X2,X3,X4),X4,X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_74,c_481804]) ).
tcf(c_556868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ext(X0,ip(X0,X1,X2,X3,X4),X5,X6),X0)
| s_t(ext(X0,ip(X0,X1,X2,X3,X4),X5,X6),X4,X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480073,c_481804]) ).
tcf(c_556869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,s(ip(X0,X1,X2,X3,X4),X0),X0)
| s_t(s(ip(X0,X1,X2,X3,X4),X0),X4,X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485941,c_481804]) ).
tcf(c_556870,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,c63(X0,ip(X0,X1,X2,X3,X4),X5),X0)
| s_t(c63(X0,ip(X0,X1,X2,X3,X4),X5),X4,X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ sameside(X0,ip(X0,X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_481095,c_481804]) ).
tcf(c_556871,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,c63(X0,ip(X1,X2,X3,X4,X5),X1),X1)
| s_t(c63(X0,ip(X1,X2,X3,X4,X5),X1),X5,X1)
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_481156,c_481804]) ).
tcf(c_556872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,ext(X5,ip(X0,X1,X2,X3,X4),X6,X7),X0)
| s_t(ext(X5,ip(X0,X1,X2,X3,X4),X6,X7),X4,X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_481348,c_481804]) ).
tcf(c_556873,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,ext(X1,X0,X6,X7),X1)
| s_t(ext(X1,X0,X6,X7),X5,X1)
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_481345,c_481804]) ).
tcf(c_556874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,s(X0,X1),X1)
| s_t(s(X0,X1),X5,X1)
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_486090,c_481804]) ).
tcf(c_556875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,X1,ins(X2,X3,X0,X1))
| s_t(X1,X7,ins(X2,X3,X0,X1))
| s_t(X1,ins(X2,X3,X0,X1),ip(ins(X2,X3,X0,X1),X4,X5,X6,X7))
| ( X0 = X1 )
| ( ip(ins(X2,X3,X0,X1),X4,X5,X6,X7) = ins(X2,X3,X0,X1) )
| ~ s_t(X6,X7,X5)
| ~ le(X0,X1,X2,X3)
| ~ s_t(ins(X2,X3,X0,X1),X4,X5)
| ~ s_t(X0,X1,ip(ins(X2,X3,X0,X1),X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480738,c_481804]) ).
tcf(c_556876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,X0,ins(X2,X3,X0,X1))
| s_t(X0,X7,ins(X2,X3,X0,X1))
| s_t(X0,ins(X2,X3,X0,X1),ip(ins(X2,X3,X0,X1),X4,X5,X6,X7))
| ( X0 = X1 )
| ( ip(ins(X2,X3,X0,X1),X4,X5,X6,X7) = ins(X2,X3,X0,X1) )
| ~ s_t(X6,X7,X5)
| ~ le(X0,X1,X2,X3)
| ~ s_t(ins(X2,X3,X0,X1),X4,X5)
| ~ s_t(X0,X1,ip(ins(X2,X3,X0,X1),X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480739,c_481804]) ).
tcf(c_556877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ins(X5,X6,X0,ip(X0,X1,X2,X3,X4)),X0)
| s_t(ins(X5,X6,X0,ip(X0,X1,X2,X3,X4)),X4,X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ le(X0,ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480747,c_481804]) ).
tcf(c_556878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,ext(ip(X1,X2,X3,X4,X5),X0,X6,X7),X1)
| s_t(ext(ip(X1,X2,X3,X4,X5),X0,X6,X7),X5,X1)
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ( ip(X1,X2,X3,X4,X5) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_481346,c_481804]) ).
tcf(c_556879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,s(ip(X0,X1,X2,X3,X4),s(X0,ip(X0,X1,X2,X3,X4))),X0)
| s_t(s(ip(X0,X1,X2,X3,X4),s(X0,ip(X0,X1,X2,X3,X4))),X4,X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553551,c_481804]) ).
tcf(c_556880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,ext(X5,ip(X0,X1,X2,X3,X4),X6,X7),X0)
| s_t(ext(X5,ip(X0,X1,X2,X3,X4),X6,X7),X4,X0)
| ( ip(X0,X1,X2,X3,X4) = X5 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_481343,c_481804]) ).
tcf(c_556881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,X0)
| s_t(X1,X4,X0)
| s_t(X1,X0,ip(X0,X1,X2,X3,X4))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480702,c_481804]) ).
tcf(c_556882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X8,X0,ip(X1,X0,X2,X3,X4))
| s_t(X0,X8,ip(X1,X0,X2,X3,X4))
| s_t(X0,ip(X1,X0,X2,X3,X4),ip(ip(X1,X0,X2,X3,X4),X5,X6,X7,X8))
| ( ip(ip(X1,X0,X2,X3,X4),X5,X6,X7,X8) = ip(X1,X0,X2,X3,X4) )
| ~ s_t(X7,X8,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X0,X2)
| ~ s_t(ip(X1,X0,X2,X3,X4),X5,X6)
| ~ s_t(X0,ip(ip(X1,X0,X2,X3,X4),X5,X6,X7,X8),X3) ),
inference(superposition,[status(thm)],[c_480702,c_481804]) ).
tcf(c_556883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,X0)
| s_t(X1,X4,X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X3,X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480205,c_481804]) ).
tcf(c_556884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,ip(X8,X7,X6,ip(X0,X1,X2,X3,X4),X5),X0)
| s_t(ip(X8,X7,X6,ip(X0,X1,X2,X3,X4),X5),X4,X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X8,X7,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,ip(X0,X1,X2,X3,X4),X0)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480135,c_481804]) ).
tcf(c_556885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X2,X0)
| s_t(X2,X3,X0)
| ( ip(X0,X0,X1,X2,X3) = X0 )
| ~ s_t(X2,X3,X1)
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_480074,c_481804]) ).
tcf(c_556886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X4,X0)
| s_t(X4,X0,ip(X0,X1,X2,X3,X4))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X4,X0,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480703,c_481804]) ).
tcf(c_556887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X4,X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X4,X0,X0)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480206,c_481804]) ).
tcf(c_556888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X8,X0,ip(X1,X2,X3,X4,X0))
| s_t(X0,X8,ip(X1,X2,X3,X4,X0))
| s_t(X0,ip(X1,X2,X3,X4,X0),ip(ip(X1,X2,X3,X4,X0),X5,X6,X7,X8))
| ( ip(ip(X1,X2,X3,X4,X0),X5,X6,X7,X8) = ip(X1,X2,X3,X4,X0) )
| ~ s_t(X7,X8,X6)
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(ip(X1,X2,X3,X4,X0),X5,X6)
| ~ s_t(X0,ip(ip(X1,X2,X3,X4,X0),X5,X6,X7,X8),X1) ),
inference(superposition,[status(thm)],[c_480703,c_481804]) ).
tcf(c_556889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,ip(ip(X0,X1,X2,X3,X4),X5,X6,X8,X7),X0)
| s_t(ip(ip(X0,X1,X2,X3,X4),X5,X6,X8,X7),X4,X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X8,X7,X6)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X7,ip(X0,X1,X2,X3,X4),X0)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_480136,c_481804]) ).
tcf(c_556891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,X0,ext(X0,X1,X2,X3))
| s_t(X0,X7,ext(X0,X1,X2,X3))
| s_t(X0,ext(X0,X1,X2,X3),ip(ext(X0,X1,X2,X3),X4,X5,X6,X7))
| ( X0 = X1 )
| ( ip(ext(X0,X1,X2,X3),X4,X5,X6,X7) = ext(X0,X1,X2,X3) )
| ~ s_t(X6,X7,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5)
| ~ s_t(X0,X1,ip(ext(X0,X1,X2,X3),X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480599,c_481804]) ).
tcf(c_556892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X0,c63(X0,X1,X2))
| s_t(X0,X6,c63(X0,X1,X2))
| s_t(X0,c63(X0,X1,X2),ip(c63(X0,X1,X2),X3,X4,X5,X6))
| ( X0 = X1 )
| ( ip(c63(X0,X1,X2),X3,X4,X5,X6) = c63(X0,X1,X2) )
| ~ sameside(X0,X1,X2)
| ~ s_t(X5,X6,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4)
| ~ s_t(X0,X1,ip(c63(X0,X1,X2),X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481087,c_481804]) ).
tcf(c_556893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X0,c63(X2,X1,X0))
| s_t(X0,X6,c63(X2,X1,X0))
| s_t(X0,c63(X2,X1,X0),ip(c63(X2,X1,X0),X3,X4,X5,X6))
| ( X0 = X1 )
| ( ip(c63(X2,X1,X0),X3,X4,X5,X6) = c63(X2,X1,X0) )
| ~ sameside(X2,X1,X0)
| ~ s_t(X5,X6,X4)
| ~ s_t(c63(X2,X1,X0),X3,X4)
| ~ s_t(X0,X1,ip(c63(X2,X1,X0),X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481148,c_481804]) ).
tcf(c_556894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,X1,ext(X0,X1,X2,X3))
| s_t(X1,X7,ext(X0,X1,X2,X3))
| s_t(X1,ext(X0,X1,X2,X3),ip(ext(X0,X1,X2,X3),X4,X5,X6,X7))
| ( X0 = X1 )
| ( ip(ext(X0,X1,X2,X3),X4,X5,X6,X7) = ext(X0,X1,X2,X3) )
| ~ s_t(X6,X7,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5)
| ~ s_t(X0,X1,ip(ext(X0,X1,X2,X3),X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480646,c_481804]) ).
tcf(c_556895,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X1,c63(X0,X1,X2))
| s_t(X1,X6,c63(X0,X1,X2))
| s_t(X1,c63(X0,X1,X2),ip(c63(X0,X1,X2),X3,X4,X5,X6))
| ( X0 = X1 )
| ( ip(c63(X0,X1,X2),X3,X4,X5,X6) = c63(X0,X1,X2) )
| ~ sameside(X0,X1,X2)
| ~ s_t(X5,X6,X4)
| ~ s_t(c63(X0,X1,X2),X3,X4)
| ~ s_t(X0,X1,ip(c63(X0,X1,X2),X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481086,c_481804]) ).
tcf(c_556896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X1,c63(X2,X1,X0))
| s_t(X1,X6,c63(X2,X1,X0))
| s_t(X1,c63(X2,X1,X0),ip(c63(X2,X1,X0),X3,X4,X5,X6))
| ( X0 = X1 )
| ( ip(c63(X2,X1,X0),X3,X4,X5,X6) = c63(X2,X1,X0) )
| ~ sameside(X2,X1,X0)
| ~ s_t(X5,X6,X4)
| ~ s_t(c63(X2,X1,X0),X3,X4)
| ~ s_t(X0,X1,ip(c63(X2,X1,X0),X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_481147,c_481804]) ).
tcf(c_556897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X9,X0,crossbar(X1,X2,X3,X4,X5,X0))
| s_t(X0,X9,crossbar(X1,X2,X3,X4,X5,X0))
| s_t(X0,crossbar(X1,X2,X3,X4,X5,X0),ip(crossbar(X1,X2,X3,X4,X5,X0),X6,X7,X8,X9))
| ( ip(crossbar(X1,X2,X3,X4,X5,X0),X6,X7,X8,X9) = crossbar(X1,X2,X3,X4,X5,X0) )
| ~ s_t(X8,X9,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X1,X0,X4)
| ~ s_t(crossbar(X1,X2,X3,X4,X5,X0),X6,X7)
| ~ s_t(X0,ip(crossbar(X1,X2,X3,X4,X5,X0),X6,X7,X8,X9),X3) ),
inference(superposition,[status(thm)],[c_480706,c_481804]) ).
tcf(c_556898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X6,crossbar(X0,X1,ip(X2,X3,X4,X5,X6),X8,X9,X7),X2)
| s_t(crossbar(X0,X1,ip(X2,X3,X4,X5,X6),X8,X9,X7),X6,X2)
| ( ip(X2,X3,X4,X5,X6) = X2 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X7,X8)
| ~ s_t(X8,X9,ip(X2,X3,X4,X5,X6))
| ~ s_t(X7,ip(X2,X3,X4,X5,X6),X2)
| ~ s_t(X0,X1,ip(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480259,c_481804]) ).
tcf(c_556899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X5,crossbar(X8,X0,X7,X6,ip(X1,X2,X3,X4,X5),X9),X1)
| s_t(crossbar(X8,X0,X7,X6,ip(X1,X2,X3,X4,X5),X9),X5,X1)
| ( ip(X1,X2,X3,X4,X5) = X1 )
| ~ s_t(X8,X9,X6)
| ~ s_t(X8,X0,X7)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_t(X6,ip(X1,X2,X3,X4,X5),X7)
| ~ s_t(X0,ip(X1,X2,X3,X4,X5),X1) ),
inference(superposition,[status(thm)],[c_480321,c_481804]) ).
tcf(c_556900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X9,X0,crossbar(X1,X0,X2,X3,X4,X5))
| s_t(X0,X9,crossbar(X1,X0,X2,X3,X4,X5))
| s_t(X0,crossbar(X1,X0,X2,X3,X4,X5),ip(crossbar(X1,X0,X2,X3,X4,X5),X6,X7,X8,X9))
| ( ip(crossbar(X1,X0,X2,X3,X4,X5),X6,X7,X8,X9) = crossbar(X1,X0,X2,X3,X4,X5) )
| ~ s_t(X8,X9,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X0,X2)
| ~ s_t(crossbar(X1,X0,X2,X3,X4,X5),X6,X7)
| ~ s_t(X0,ip(crossbar(X1,X0,X2,X3,X4,X5),X6,X7,X8,X9),X4) ),
inference(superposition,[status(thm)],[c_480707,c_481804]) ).
tcf(c_556901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,s(s(ip(X0,X1,X2,X3,X4),X0),X0),X0)
| s_t(s(s(ip(X0,X1,X2,X3,X4),X0),X0),X4,X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517647,c_481804]) ).
tcf(c_556902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ext(X0,s(ip(X0,X1,X2,X3,X4),X0),X5,X6),X0)
| s_t(ext(X0,s(ip(X0,X1,X2,X3,X4),X0),X5,X6),X4,X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523173,c_481804]) ).
tcf(c_556903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,s(s(s(ip(X0,X1,X2,X3,X4),X0),X0),X0),X0)
| s_t(s(s(s(ip(X0,X1,X2,X3,X4),X0),X0),X0),X4,X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529313,c_481804]) ).
tcf(c_556904,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,s(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X0,X5,X6)),X0)
| s_t(s(ip(X0,X1,X2,X3,X4),ext(ip(X0,X1,X2,X3,X4),X0,X5,X6)),X4,X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548076,c_481804]) ).
tcf(c_556905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,s(ext(X0,ip(X0,X1,X2,X3,X4),X5,X6),X0),X0)
| s_t(s(ext(X0,ip(X0,X1,X2,X3,X4),X5,X6),X0),X4,X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499667,c_481804]) ).
tcf(c_556906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,X3)
| s_t(X0,X1,X3)
| ( ip(X3,X3,X2,X0,X1) = X3 )
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_556885,c_74]) ).
tcf(c_557237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X5,X3),X2)
| s_t(crossbar(X0,X1,X2,X4,X5,X3),X3,X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_74,c_481807]) ).
tcf(c_557238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X3,X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_87,c_481807]) ).
tcf(c_557239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X1,X2)
| s_t(X1,X3,X2)
| ( crossbar(X0,X1,X2,X4,X2,X3) = X2 )
| ~ s_t(X4,X2,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_481807]) ).
tcf(c_557240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,ext(X2,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X2)
| s_t(ext(X2,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X3,X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480073,c_481807]) ).
tcf(c_557241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,s(crossbar(X0,X1,X2,X4,X5,X3),X2),X2)
| s_t(s(crossbar(X0,X1,X2,X4,X5,X3),X2),X3,X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485941,c_481807]) ).
tcf(c_557242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,c63(X0,crossbar(X1,X2,X0,X3,X4,X5),X6),X0)
| s_t(c63(X0,crossbar(X1,X2,X0,X3,X4,X5),X6),X5,X0)
| ( crossbar(X1,X2,X0,X3,X4,X5) = X0 )
| ~ s_t(X3,X4,X0)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X2,X0)
| ~ sameside(X0,crossbar(X1,X2,X0,X3,X4,X5),X6) ),
inference(superposition,[status(thm)],[c_481095,c_481807]) ).
tcf(c_557243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X3),X3)
| s_t(c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X3),X6,X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_481156,c_481807]) ).
tcf(c_557244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X5,ext(X6,crossbar(X0,X1,X2,X3,X4,X5),X7,X8),X2)
| s_t(ext(X6,crossbar(X0,X1,X2,X3,X4,X5),X7,X8),X5,X2)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_481348,c_481807]) ).
tcf(c_557245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X6,ext(X3,X0,X7,X8),X3)
| s_t(ext(X3,X0,X7,X8),X6,X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_481345,c_481807]) ).
tcf(c_557246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,s(X0,X3),X3)
| s_t(s(X0,X3),X6,X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_486090,c_481807]) ).
tcf(c_557247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X8,X1,ins(X4,X5,X0,X1))
| s_t(X1,X8,ins(X4,X5,X0,X1))
| s_t(X1,ins(X4,X5,X0,X1),crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X8))
| ( X0 = X1 )
| ( crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X8) = ins(X4,X5,X0,X1) )
| ~ s_t(X2,X8,X6)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X6,X7,ins(X4,X5,X0,X1))
| ~ s_t(X2,X3,ins(X4,X5,X0,X1))
| ~ s_t(X0,X1,crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X8)) ),
inference(superposition,[status(thm)],[c_480738,c_481807]) ).
tcf(c_557248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X8,X0,ins(X4,X5,X0,X1))
| s_t(X0,X8,ins(X4,X5,X0,X1))
| s_t(X0,ins(X4,X5,X0,X1),crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X8))
| ( X0 = X1 )
| ( crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X8) = ins(X4,X5,X0,X1) )
| ~ s_t(X2,X8,X6)
| ~ le(X0,X1,X4,X5)
| ~ s_t(X6,X7,ins(X4,X5,X0,X1))
| ~ s_t(X2,X3,ins(X4,X5,X0,X1))
| ~ s_t(X0,X1,crossbar(X2,X3,ins(X4,X5,X0,X1),X6,X7,X8)) ),
inference(superposition,[status(thm)],[c_480739,c_481807]) ).
tcf(c_557249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X5,ins(X6,X7,X0,crossbar(X1,X2,X0,X3,X4,X5)),X0)
| s_t(ins(X6,X7,X0,crossbar(X1,X2,X0,X3,X4,X5)),X5,X0)
| ( crossbar(X1,X2,X0,X3,X4,X5) = X0 )
| ~ s_t(X3,X4,X0)
| ~ s_t(X1,X5,X3)
| ~ s_t(X1,X2,X0)
| ~ le(X0,crossbar(X1,X2,X0,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480747,c_481807]) ).
tcf(c_557250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X6,ext(crossbar(X1,X2,X3,X4,X5,X6),X0,X7,X8),X3)
| s_t(ext(crossbar(X1,X2,X3,X4,X5,X6),X0,X7,X8),X6,X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_481346,c_481807]) ).
tcf(c_557251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,s(crossbar(X0,X1,X2,X4,X5,X3),s(X2,crossbar(X0,X1,X2,X4,X5,X3))),X2)
| s_t(s(crossbar(X0,X1,X2,X4,X5,X3),s(X2,crossbar(X0,X1,X2,X4,X5,X3))),X3,X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553551,c_481807]) ).
tcf(c_557252,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X5,ext(X6,crossbar(X0,X1,X2,X3,X4,X5),X7,X8),X2)
| s_t(ext(X6,crossbar(X0,X1,X2,X3,X4,X5),X7,X8),X5,X2)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_481343,c_481807]) ).
tcf(c_557253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X9,X0,ip(X3,X0,X4,X5,X6))
| s_t(X0,X9,ip(X3,X0,X4,X5,X6))
| s_t(X0,ip(X3,X0,X4,X5,X6),crossbar(X1,X2,ip(X3,X0,X4,X5,X6),X7,X8,X9))
| ( crossbar(X1,X2,ip(X3,X0,X4,X5,X6),X7,X8,X9) = ip(X3,X0,X4,X5,X6) )
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X9,X7)
| ~ s_t(X7,X8,ip(X3,X0,X4,X5,X6))
| ~ s_t(X1,X2,ip(X3,X0,X4,X5,X6))
| ~ s_t(X0,crossbar(X1,X2,ip(X3,X0,X4,X5,X6),X7,X8,X9),X5) ),
inference(superposition,[status(thm)],[c_480702,c_481807]) ).
tcf(c_557254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X5,ip(X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5),X6),X2)
| s_t(ip(X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5),X6),X5,X2)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X9,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X8,crossbar(X0,X1,X2,X3,X4,X5),X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480135,c_481807]) ).
tcf(c_557255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X9,X0,ip(X3,X4,X5,X6,X0))
| s_t(X0,X9,ip(X3,X4,X5,X6,X0))
| s_t(X0,ip(X3,X4,X5,X6,X0),crossbar(X1,X2,ip(X3,X4,X5,X6,X0),X7,X8,X9))
| ( crossbar(X1,X2,ip(X3,X4,X5,X6,X0),X7,X8,X9) = ip(X3,X4,X5,X6,X0) )
| ~ s_t(X6,X0,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X1,X9,X7)
| ~ s_t(X7,X8,ip(X3,X4,X5,X6,X0))
| ~ s_t(X1,X2,ip(X3,X4,X5,X6,X0))
| ~ s_t(X0,crossbar(X1,X2,ip(X3,X4,X5,X6,X0),X7,X8,X9),X3) ),
inference(superposition,[status(thm)],[c_480703,c_481807]) ).
tcf(c_557256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X5,ip(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X9,X8),X2)
| s_t(ip(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X9,X8),X5,X2)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X9,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X8,crossbar(X0,X1,X2,X3,X4,X5),X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480136,c_481807]) ).
tcf(c_557257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X8,X0,ext(X0,X1,X4,X5))
| s_t(X0,X8,ext(X0,X1,X4,X5))
| s_t(X0,ext(X0,X1,X4,X5),crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X8))
| ( X0 = X1 )
| ( crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X8) = ext(X0,X1,X4,X5) )
| ~ s_t(X2,X8,X6)
| ~ s_t(X6,X7,ext(X0,X1,X4,X5))
| ~ s_t(X2,X3,ext(X0,X1,X4,X5))
| ~ s_t(X0,X1,crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X8)) ),
inference(superposition,[status(thm)],[c_480599,c_481807]) ).
tcf(c_557258,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,X0,c63(X0,X1,X4))
| s_t(X0,X7,c63(X0,X1,X4))
| s_t(X0,c63(X0,X1,X4),crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X7))
| ( X0 = X1 )
| ( crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X7) = c63(X0,X1,X4) )
| ~ sameside(X0,X1,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X5,X6,c63(X0,X1,X4))
| ~ s_t(X2,X3,c63(X0,X1,X4))
| ~ s_t(X0,X1,crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_481087,c_481807]) ).
tcf(c_557259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,X0,c63(X4,X1,X0))
| s_t(X0,X7,c63(X4,X1,X0))
| s_t(X0,c63(X4,X1,X0),crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X7))
| ( X0 = X1 )
| ( crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X7) = c63(X4,X1,X0) )
| ~ sameside(X4,X1,X0)
| ~ s_t(X2,X7,X5)
| ~ s_t(X5,X6,c63(X4,X1,X0))
| ~ s_t(X2,X3,c63(X4,X1,X0))
| ~ s_t(X0,X1,crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_481148,c_481807]) ).
tcf(c_557260,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X8,X1,ext(X0,X1,X4,X5))
| s_t(X1,X8,ext(X0,X1,X4,X5))
| s_t(X1,ext(X0,X1,X4,X5),crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X8))
| ( X0 = X1 )
| ( crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X8) = ext(X0,X1,X4,X5) )
| ~ s_t(X2,X8,X6)
| ~ s_t(X6,X7,ext(X0,X1,X4,X5))
| ~ s_t(X2,X3,ext(X0,X1,X4,X5))
| ~ s_t(X0,X1,crossbar(X2,X3,ext(X0,X1,X4,X5),X6,X7,X8)) ),
inference(superposition,[status(thm)],[c_480646,c_481807]) ).
tcf(c_557261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,X1,c63(X0,X1,X4))
| s_t(X1,X7,c63(X0,X1,X4))
| s_t(X1,c63(X0,X1,X4),crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X7))
| ( X0 = X1 )
| ( crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X7) = c63(X0,X1,X4) )
| ~ sameside(X0,X1,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X5,X6,c63(X0,X1,X4))
| ~ s_t(X2,X3,c63(X0,X1,X4))
| ~ s_t(X0,X1,crossbar(X2,X3,c63(X0,X1,X4),X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_481086,c_481807]) ).
tcf(c_557262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,X1,c63(X4,X1,X0))
| s_t(X1,X7,c63(X4,X1,X0))
| s_t(X1,c63(X4,X1,X0),crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X7))
| ( X0 = X1 )
| ( crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X7) = c63(X4,X1,X0) )
| ~ sameside(X4,X1,X0)
| ~ s_t(X2,X7,X5)
| ~ s_t(X5,X6,c63(X4,X1,X0))
| ~ s_t(X2,X3,c63(X4,X1,X0))
| ~ s_t(X0,X1,crossbar(X2,X3,c63(X4,X1,X0),X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_481147,c_481807]) ).
tcf(c_557263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X3,X2)
| s_t(X3,X2,crossbar(X0,X1,X2,X4,X5,X3))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X2,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_481807]) ).
tcf(c_557264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X3,X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X2,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_481807]) ).
tcf(c_557265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X10,X0,crossbar(X3,X4,X5,X6,X7,X0))
| s_t(X0,X10,crossbar(X3,X4,X5,X6,X7,X0))
| s_t(X0,crossbar(X3,X4,X5,X6,X7,X0),crossbar(X1,X2,crossbar(X3,X4,X5,X6,X7,X0),X8,X9,X10))
| ( crossbar(X1,X2,crossbar(X3,X4,X5,X6,X7,X0),X8,X9,X10) = crossbar(X3,X4,X5,X6,X7,X0) )
| ~ s_t(X6,X7,X5)
| ~ s_t(X3,X4,X5)
| ~ s_t(X3,X0,X6)
| ~ s_t(X1,X10,X8)
| ~ s_t(X8,X9,crossbar(X3,X4,X5,X6,X7,X0))
| ~ s_t(X1,X2,crossbar(X3,X4,X5,X6,X7,X0))
| ~ s_t(X0,crossbar(X1,X2,crossbar(X3,X4,X5,X6,X7,X0),X8,X9,X10),X5) ),
inference(superposition,[status(thm)],[c_480706,c_481807]) ).
tcf(c_557266,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X7,crossbar(X0,X1,crossbar(X2,X3,X4,X5,X6,X7),X9,X10,X8),X4)
| s_t(crossbar(X0,X1,crossbar(X2,X3,X4,X5,X6,X7),X9,X10,X8),X7,X4)
| ( crossbar(X2,X3,X4,X5,X6,X7) = X4 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X8,X9)
| ~ s_t(X9,X10,crossbar(X2,X3,X4,X5,X6,X7))
| ~ s_t(X8,crossbar(X2,X3,X4,X5,X6,X7),X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480259,c_481807]) ).
tcf(c_557268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X1,X2)
| s_t(X1,X3,X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_481807]) ).
tcf(c_557269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X6,crossbar(X9,X0,X8,X7,crossbar(X1,X2,X3,X4,X5,X6),X10),X3)
| s_t(crossbar(X9,X0,X8,X7,crossbar(X1,X2,X3,X4,X5,X6),X10),X6,X3)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X3 )
| ~ s_t(X9,X10,X7)
| ~ s_t(X9,X0,X8)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X7,crossbar(X1,X2,X3,X4,X5,X6),X8)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X3) ),
inference(superposition,[status(thm)],[c_480321,c_481807]) ).
tcf(c_557270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X1,X2)
| s_t(X1,X3,X2)
| s_t(X1,X2,crossbar(X0,X1,X2,X4,X5,X3))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_481807]) ).
tcf(c_557271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X10,X0,crossbar(X3,X0,X4,X5,X6,X7))
| s_t(X0,X10,crossbar(X3,X0,X4,X5,X6,X7))
| s_t(X0,crossbar(X3,X0,X4,X5,X6,X7),crossbar(X1,X2,crossbar(X3,X0,X4,X5,X6,X7),X8,X9,X10))
| ( crossbar(X1,X2,crossbar(X3,X0,X4,X5,X6,X7),X8,X9,X10) = crossbar(X3,X0,X4,X5,X6,X7) )
| ~ s_t(X5,X6,X4)
| ~ s_t(X3,X7,X5)
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X10,X8)
| ~ s_t(X8,X9,crossbar(X3,X0,X4,X5,X6,X7))
| ~ s_t(X1,X2,crossbar(X3,X0,X4,X5,X6,X7))
| ~ s_t(X0,crossbar(X1,X2,crossbar(X3,X0,X4,X5,X6,X7),X8,X9,X10),X6) ),
inference(superposition,[status(thm)],[c_480707,c_481807]) ).
tcf(c_557272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X2,X1)
| s_t(X2,X4,X1)
| ( crossbar(X0,X1,X1,X3,X4,X2) = X1 )
| ~ s_t(X3,X4,X1)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_480324,c_481807]) ).
tcf(c_557273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,s(s(crossbar(X0,X1,X2,X4,X5,X3),X2),X2),X2)
| s_t(s(s(crossbar(X0,X1,X2,X4,X5,X3),X2),X2),X3,X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517647,c_481807]) ).
tcf(c_557274,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,ext(X2,s(crossbar(X0,X1,X2,X4,X5,X3),X2),X6,X7),X2)
| s_t(ext(X2,s(crossbar(X0,X1,X2,X4,X5,X3),X2),X6,X7),X3,X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523173,c_481807]) ).
tcf(c_557275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,s(s(s(crossbar(X0,X1,X2,X4,X5,X3),X2),X2),X2),X2)
| s_t(s(s(s(crossbar(X0,X1,X2,X4,X5,X3),X2),X2),X2),X3,X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529313,c_481807]) ).
tcf(c_557276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,s(crossbar(X0,X1,X2,X4,X5,X3),ext(crossbar(X0,X1,X2,X4,X5,X3),X2,X6,X7)),X2)
| s_t(s(crossbar(X0,X1,X2,X4,X5,X3),ext(crossbar(X0,X1,X2,X4,X5,X3),X2,X6,X7)),X3,X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548076,c_481807]) ).
tcf(c_557277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,s(ext(X2,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X2),X2)
| s_t(s(ext(X2,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X2),X3,X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499667,c_481807]) ).
tcf(c_557278,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X1,X4)
| s_t(X1,X3,X4)
| ( crossbar(X0,X4,X4,X2,X3,X1) = X4 )
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_557272,c_72]) ).
tcf(c_557284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X1,X2)
| s_t(X1,X3,X2)
| ( crossbar(X0,X1,X2,X4,X2,X3) = X2 )
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_557239,c_72]) ).
tcf(c_557658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),X5)
| s_t(crossbar(X0,X1,X2,X4,X5,X3),X1,X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_74,c_481808]) ).
tcf(c_557660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X1,X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_481808]) ).
tcf(c_557661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ext(X5,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X5)
| s_t(ext(X5,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X1,X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480073,c_481808]) ).
tcf(c_557662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,s(crossbar(X0,X1,X2,X4,X5,X3),X5),X5)
| s_t(s(crossbar(X0,X1,X2,X4,X5,X3),X5),X1,X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485941,c_481808]) ).
tcf(c_557663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,c63(X0,crossbar(X1,X2,X3,X4,X0,X5),X6),X0)
| s_t(c63(X0,crossbar(X1,X2,X3,X4,X0,X5),X6),X2,X0)
| ( crossbar(X1,X2,X3,X4,X0,X5) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X5,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X0,X5),X6) ),
inference(superposition,[status(thm)],[c_481095,c_481808]) ).
tcf(c_557664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X5),X5)
| s_t(c63(X0,crossbar(X1,X2,X3,X4,X5,X6),X5),X2,X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ sameside(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_481156,c_481808]) ).
tcf(c_557665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ext(X6,crossbar(X0,X1,X2,X3,X4,X5),X7,X8),X4)
| s_t(ext(X6,crossbar(X0,X1,X2,X3,X4,X5),X7,X8),X1,X4)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_481348,c_481808]) ).
tcf(c_557666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,ext(X5,X0,X7,X8),X5)
| s_t(ext(X5,X0,X7,X8),X2,X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_481345,c_481808]) ).
tcf(c_557667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,s(X0,X5),X5)
| s_t(s(X0,X5),X2,X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_486090,c_481808]) ).
tcf(c_557668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,X1,ins(X6,X7,X0,X1))
| s_t(X1,X3,ins(X6,X7,X0,X1))
| s_t(X1,ins(X6,X7,X0,X1),crossbar(X2,X3,X4,X5,ins(X6,X7,X0,X1),X8))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,ins(X6,X7,X0,X1),X8) = ins(X6,X7,X0,X1) )
| ~ s_t(X2,X8,X5)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,X6,X7)
| ~ s_t(X5,ins(X6,X7,X0,X1),X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,ins(X6,X7,X0,X1),X8)) ),
inference(superposition,[status(thm)],[c_480738,c_481808]) ).
tcf(c_557669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,X0,ins(X6,X7,X0,X1))
| s_t(X0,X3,ins(X6,X7,X0,X1))
| s_t(X0,ins(X6,X7,X0,X1),crossbar(X2,X3,X4,X5,ins(X6,X7,X0,X1),X8))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,ins(X6,X7,X0,X1),X8) = ins(X6,X7,X0,X1) )
| ~ s_t(X2,X8,X5)
| ~ s_t(X2,X3,X4)
| ~ le(X0,X1,X6,X7)
| ~ s_t(X5,ins(X6,X7,X0,X1),X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,ins(X6,X7,X0,X1),X8)) ),
inference(superposition,[status(thm)],[c_480739,c_481808]) ).
tcf(c_557670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,ins(X6,X7,X0,crossbar(X1,X2,X3,X4,X0,X5)),X0)
| s_t(ins(X6,X7,X0,crossbar(X1,X2,X3,X4,X0,X5)),X2,X0)
| ( crossbar(X1,X2,X3,X4,X0,X5) = X0 )
| ~ s_t(X4,X0,X3)
| ~ s_t(X1,X5,X4)
| ~ s_t(X1,X2,X3)
| ~ le(X0,crossbar(X1,X2,X3,X4,X0,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480747,c_481808]) ).
tcf(c_557671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X2,ext(crossbar(X1,X2,X3,X4,X5,X6),X0,X7,X8),X5)
| s_t(ext(crossbar(X1,X2,X3,X4,X5,X6),X0,X7,X8),X2,X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ( crossbar(X1,X2,X3,X4,X5,X6) = X0 )
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_481346,c_481808]) ).
tcf(c_557672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,s(crossbar(X0,X1,X2,X4,X5,X3),s(X5,crossbar(X0,X1,X2,X4,X5,X3))),X5)
| s_t(s(crossbar(X0,X1,X2,X4,X5,X3),s(X5,crossbar(X0,X1,X2,X4,X5,X3))),X1,X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553551,c_481808]) ).
tcf(c_557673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ext(X6,crossbar(X0,X1,X2,X3,X4,X5),X7,X8),X4)
| s_t(ext(X6,crossbar(X0,X1,X2,X3,X4,X5),X7,X8),X1,X4)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_481343,c_481808]) ).
tcf(c_557674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X2,X0,ip(X5,X0,X6,X7,X8))
| s_t(X0,X2,ip(X5,X0,X6,X7,X8))
| s_t(X0,ip(X5,X0,X6,X7,X8),crossbar(X1,X2,X3,X4,ip(X5,X0,X6,X7,X8),X9))
| ( crossbar(X1,X2,X3,X4,ip(X5,X0,X6,X7,X8),X9) = ip(X5,X0,X6,X7,X8) )
| ~ s_t(X7,X8,X6)
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X9,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X4,ip(X5,X0,X6,X7,X8),X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,ip(X5,X0,X6,X7,X8),X9),X7) ),
inference(superposition,[status(thm)],[c_480702,c_481808]) ).
tcf(c_557675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,ip(X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5),X6),X4)
| s_t(ip(X9,X8,X7,crossbar(X0,X1,X2,X3,X4,X5),X6),X1,X4)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X9,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X8,crossbar(X0,X1,X2,X3,X4,X5),X4)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480135,c_481808]) ).
tcf(c_557676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X2,X0,ip(X5,X6,X7,X8,X0))
| s_t(X0,X2,ip(X5,X6,X7,X8,X0))
| s_t(X0,ip(X5,X6,X7,X8,X0),crossbar(X1,X2,X3,X4,ip(X5,X6,X7,X8,X0),X9))
| ( crossbar(X1,X2,X3,X4,ip(X5,X6,X7,X8,X0),X9) = ip(X5,X6,X7,X8,X0) )
| ~ s_t(X8,X0,X7)
| ~ s_t(X5,X6,X7)
| ~ s_t(X1,X9,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X4,ip(X5,X6,X7,X8,X0),X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,ip(X5,X6,X7,X8,X0),X9),X5) ),
inference(superposition,[status(thm)],[c_480703,c_481808]) ).
tcf(c_557677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
( s_t(X1,ip(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X9,X8),X4)
| s_t(ip(crossbar(X0,X1,X2,X3,X4,X5),X6,X7,X9,X8),X1,X4)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X9,X8,X7)
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X8,crossbar(X0,X1,X2,X3,X4,X5),X4)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X7) ),
inference(superposition,[status(thm)],[c_480136,c_481808]) ).
tcf(c_557678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,X0,ext(X0,X1,X6,X7))
| s_t(X0,X3,ext(X0,X1,X6,X7))
| s_t(X0,ext(X0,X1,X6,X7),crossbar(X2,X3,X4,X5,ext(X0,X1,X6,X7),X8))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,ext(X0,X1,X6,X7),X8) = ext(X0,X1,X6,X7) )
| ~ s_t(X2,X8,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X5,ext(X0,X1,X6,X7),X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,ext(X0,X1,X6,X7),X8)) ),
inference(superposition,[status(thm)],[c_480599,c_481808]) ).
tcf(c_557679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X0,c63(X0,X1,X6))
| s_t(X0,X3,c63(X0,X1,X6))
| s_t(X0,c63(X0,X1,X6),crossbar(X2,X3,X4,X5,c63(X0,X1,X6),X7))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,c63(X0,X1,X6),X7) = c63(X0,X1,X6) )
| ~ sameside(X0,X1,X6)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X5,c63(X0,X1,X6),X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,c63(X0,X1,X6),X7)) ),
inference(superposition,[status(thm)],[c_481087,c_481808]) ).
tcf(c_557680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X0,c63(X6,X1,X0))
| s_t(X0,X3,c63(X6,X1,X0))
| s_t(X0,c63(X6,X1,X0),crossbar(X2,X3,X4,X5,c63(X6,X1,X0),X7))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,c63(X6,X1,X0),X7) = c63(X6,X1,X0) )
| ~ sameside(X6,X1,X0)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X5,c63(X6,X1,X0),X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,c63(X6,X1,X0),X7)) ),
inference(superposition,[status(thm)],[c_481148,c_481808]) ).
tcf(c_557681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,X1,ext(X0,X1,X6,X7))
| s_t(X1,X3,ext(X0,X1,X6,X7))
| s_t(X1,ext(X0,X1,X6,X7),crossbar(X2,X3,X4,X5,ext(X0,X1,X6,X7),X8))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,ext(X0,X1,X6,X7),X8) = ext(X0,X1,X6,X7) )
| ~ s_t(X2,X8,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X5,ext(X0,X1,X6,X7),X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,ext(X0,X1,X6,X7),X8)) ),
inference(superposition,[status(thm)],[c_480646,c_481808]) ).
tcf(c_557682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X1,c63(X0,X1,X6))
| s_t(X1,X3,c63(X0,X1,X6))
| s_t(X1,c63(X0,X1,X6),crossbar(X2,X3,X4,X5,c63(X0,X1,X6),X7))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,c63(X0,X1,X6),X7) = c63(X0,X1,X6) )
| ~ sameside(X0,X1,X6)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X5,c63(X0,X1,X6),X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,c63(X0,X1,X6),X7)) ),
inference(superposition,[status(thm)],[c_481086,c_481808]) ).
tcf(c_557683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X1,c63(X6,X1,X0))
| s_t(X1,X3,c63(X6,X1,X0))
| s_t(X1,c63(X6,X1,X0),crossbar(X2,X3,X4,X5,c63(X6,X1,X0),X7))
| ( X0 = X1 )
| ( crossbar(X2,X3,X4,X5,c63(X6,X1,X0),X7) = c63(X6,X1,X0) )
| ~ sameside(X6,X1,X0)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X5,c63(X6,X1,X0),X4)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,c63(X6,X1,X0),X7)) ),
inference(superposition,[status(thm)],[c_481147,c_481808]) ).
tcf(c_557684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X1,X5)
| s_t(X1,X3,X5)
| s_t(X3,X5,crossbar(X0,X1,X2,X4,X5,X3))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480706,c_481808]) ).
tcf(c_557685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X1,X5)
| s_t(X1,X3,X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X3,X2,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480256,c_481808]) ).
tcf(c_557686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X2,X0,crossbar(X5,X6,X7,X8,X9,X0))
| s_t(X0,X2,crossbar(X5,X6,X7,X8,X9,X0))
| s_t(X0,crossbar(X5,X6,X7,X8,X9,X0),crossbar(X1,X2,X3,X4,crossbar(X5,X6,X7,X8,X9,X0),X10))
| ( crossbar(X1,X2,X3,X4,crossbar(X5,X6,X7,X8,X9,X0),X10) = crossbar(X5,X6,X7,X8,X9,X0) )
| ~ s_t(X8,X9,X7)
| ~ s_t(X5,X6,X7)
| ~ s_t(X5,X0,X8)
| ~ s_t(X1,X10,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X4,crossbar(X5,X6,X7,X8,X9,X0),X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,crossbar(X5,X6,X7,X8,X9,X0),X10),X7) ),
inference(superposition,[status(thm)],[c_480706,c_481808]) ).
tcf(c_557687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X3,crossbar(X0,X1,crossbar(X2,X3,X4,X5,X6,X7),X9,X10,X8),X6)
| s_t(crossbar(X0,X1,crossbar(X2,X3,X4,X5,X6,X7),X9,X10,X8),X3,X6)
| ( crossbar(X2,X3,X4,X5,X6,X7) = X6 )
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X7,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X0,X8,X9)
| ~ s_t(X9,X10,crossbar(X2,X3,X4,X5,X6,X7))
| ~ s_t(X8,crossbar(X2,X3,X4,X5,X6,X7),X6)
| ~ s_t(X0,X1,crossbar(X2,X3,X4,X5,X6,X7)) ),
inference(superposition,[status(thm)],[c_480259,c_481808]) ).
tcf(c_557688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,X3)
| s_t(X1,X2,X3)
| ( crossbar(X0,X1,X2,X4,X3,X3) = X3 )
| ~ s_t(X4,X3,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480262,c_481808]) ).
tcf(c_557689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X1,X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480318,c_481808]) ).
tcf(c_557690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X2,crossbar(X9,X0,X8,X7,crossbar(X1,X2,X3,X4,X5,X6),X10),X5)
| s_t(crossbar(X9,X0,X8,X7,crossbar(X1,X2,X3,X4,X5,X6),X10),X2,X5)
| ( crossbar(X1,X2,X3,X4,X5,X6) = X5 )
| ~ s_t(X9,X10,X7)
| ~ s_t(X9,X0,X8)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X6,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X7,crossbar(X1,X2,X3,X4,X5,X6),X8)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,X5,X6),X5) ),
inference(superposition,[status(thm)],[c_480321,c_481808]) ).
tcf(c_557691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X1,X5)
| s_t(X1,X5,crossbar(X0,X1,X2,X4,X5,X3))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X1,X5,X5)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480707,c_481808]) ).
tcf(c_557692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
( s_t(X2,X0,crossbar(X5,X0,X6,X7,X8,X9))
| s_t(X0,X2,crossbar(X5,X0,X6,X7,X8,X9))
| s_t(X0,crossbar(X5,X0,X6,X7,X8,X9),crossbar(X1,X2,X3,X4,crossbar(X5,X0,X6,X7,X8,X9),X10))
| ( crossbar(X1,X2,X3,X4,crossbar(X5,X0,X6,X7,X8,X9),X10) = crossbar(X5,X0,X6,X7,X8,X9) )
| ~ s_t(X7,X8,X6)
| ~ s_t(X5,X9,X7)
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X10,X4)
| ~ s_t(X1,X2,X3)
| ~ s_t(X4,crossbar(X5,X0,X6,X7,X8,X9),X3)
| ~ s_t(X0,crossbar(X1,X2,X3,X4,crossbar(X5,X0,X6,X7,X8,X9),X10),X8) ),
inference(superposition,[status(thm)],[c_480707,c_481808]) ).
tcf(c_557694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,s(s(crossbar(X0,X1,X2,X4,X5,X3),X5),X5),X5)
| s_t(s(s(crossbar(X0,X1,X2,X4,X5,X3),X5),X5),X1,X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517647,c_481808]) ).
tcf(c_557695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ext(X5,s(crossbar(X0,X1,X2,X4,X5,X3),X5),X6,X7),X5)
| s_t(ext(X5,s(crossbar(X0,X1,X2,X4,X5,X3),X5),X6,X7),X1,X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523173,c_481808]) ).
tcf(c_557696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,s(s(s(crossbar(X0,X1,X2,X4,X5,X3),X5),X5),X5),X5)
| s_t(s(s(s(crossbar(X0,X1,X2,X4,X5,X3),X5),X5),X5),X1,X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529313,c_481808]) ).
tcf(c_557697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,s(crossbar(X0,X1,X2,X4,X5,X3),ext(crossbar(X0,X1,X2,X4,X5,X3),X5,X6,X7)),X5)
| s_t(s(crossbar(X0,X1,X2,X4,X5,X3),ext(crossbar(X0,X1,X2,X4,X5,X3),X5,X6,X7)),X1,X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548076,c_481808]) ).
tcf(c_557698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,s(ext(X5,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X5),X5)
| s_t(s(ext(X5,crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X5),X1,X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499667,c_481808]) ).
tcf(c_558021,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,s(X0,X1),ext(X1,s(X0,X1),X2,X3)),
inference(superposition,[status(thm)],[c_161,c_552657]) ).
tcf(c_558023,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X2,X1,ext(s(X2,X1),X1,X3,X4),X0,X1,X5) = X1 )
| ~ s_t(X2,X5,X0)
| ~ s_t(X0,X1,ext(s(X2,X1),X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_552657,c_480316]) ).
tcf(c_558024,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(X0,X1,ext(s(X0,X1),X1,X2,X3),X4,X5,ext(s(X0,X1),X1,X2,X3)) = ext(s(X0,X1),X1,X2,X3) )
| ~ s_t(X4,X5,ext(s(X0,X1),X1,X2,X3))
| ~ s_t(X0,ext(s(X0,X1),X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_552657,c_480254]) ).
tcf(c_558025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X1,ext(s(X0,X1),X1,X2,X3)) = ext(s(X0,X1),X1,X2,X3) ) ),
inference(superposition,[status(thm)],[c_552657,c_480013]) ).
tcf(c_558026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,ext(s(X0,X1),X1,X2,X3),X1) = ext(s(X0,X1),X1,X2,X3) ) ),
inference(superposition,[status(thm)],[c_552657,c_480011]) ).
tcf(c_558027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X1,X2,ext(s(X1,X2),X2,X3,X4),X0,X1) = X1 )
| ~ s_t(X0,X1,ext(s(X1,X2),X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_552657,c_479924]) ).
tcf(c_558028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(X2,X0,ext(s(X2,X0),X0,X3,X4),X0,X1) = X0 )
| ~ s_t(X0,X1,ext(s(X2,X0),X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_552657,c_479914]) ).
tcf(c_558029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(ext(s(X0,X1),X1,X2,X3),X0,X1)
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 ) ),
inference(superposition,[status(thm)],[c_552657,c_238]) ).
tcf(c_558030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,X0,ext(s(X0,X1),X1,X2,X3))
| ( X0 = xb )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_552657,c_237]) ).
tcf(c_558031,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,ext(s(X1,X0),X0,X2,X3),X1),
inference(superposition,[status(thm)],[c_552657,c_225]) ).
tcf(c_558032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(ext(s(X0,X1),X1,X2,X3),X0,X1),
inference(superposition,[status(thm)],[c_552657,c_224]) ).
tcf(c_558033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,X1,ext(s(X0,X1),X1,X2,X3)),
inference(superposition,[status(thm)],[c_552657,c_223]) ).
tcf(c_558034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X4 )
| ~ s_r(X0,X4,X1)
| ~ s_r(ext(s(X0,X1),X1,X2,X3),X4,X1) ),
inference(superposition,[status(thm)],[c_552657,c_184]) ).
tcf(c_558035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,ext(s(X2,X1),X1,X3,X4))
| s_t(X0,X2,ext(s(X2,X1),X1,X3,X4))
| ( ext(s(X2,X1),X1,X3,X4) = X1 )
| ~ s_t(X0,X1,ext(s(X2,X1),X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_552657,c_147]) ).
tcf(c_558036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X2)
| ( X1 = X2 )
| ( ext(s(X2,X1),X1,X3,X4) = X1 )
| ~ sameside(X0,X1,ext(s(X2,X1),X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_552657,c_145]) ).
tcf(c_558037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,ext(s(X2,X1),X1,X3,X4))
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(s(X2,X1),X1,X3,X4) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_143]) ).
tcf(c_558038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ sameside(X0,X1,ext(s(X0,X1),X1,X2,X3)),
inference(superposition,[status(thm)],[c_552657,c_133]) ).
tcf(c_558039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(s(X2,X1),X1,X3,X4) = X1 )
| ~ s_t(X0,X1,ext(s(X2,X1),X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_552657,c_131]) ).
tcf(c_558040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ext(s(X0,X1),X1,X3,X4))
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_125]) ).
tcf(c_558041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,X1)
| s_t(X0,X1,X2)
| ~ s_t(X0,X1,ext(s(X0,X2),X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_552657,c_109]) ).
tcf(c_558042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X2,ext(s(X0,X1),X1,X3,X4))
| s_t(X1,ext(s(X0,X1),X1,X3,X4),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_108]) ).
tcf(c_558043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X2,ext(s(X0,X1),X1,X3,X4))
| s_t(X0,ext(s(X0,X1),X1,X3,X4),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_107]) ).
tcf(c_558044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,X4)
| ( ext(s(X1,X0),X0,X2,X3) = X0 )
| ~ s_t(X0,ext(s(X1,X0),X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_552657,c_81]) ).
tcf(c_558045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X1,X4)
| ~ s_t(X0,ext(s(X0,X1),X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_552657,c_80]) ).
tcf(c_558046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ext(s(X2,X0),X0,X3,X4))
| ~ s_t(X0,X1,ext(s(X2,X0),X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_552657,c_79]) ).
tcf(c_558047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(s(X1,X0),X0,X2,X3),X4)
| ( ext(s(X1,X0),X0,X2,X3) = X0 )
| ~ s_t(X0,ext(s(X1,X0),X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_552657,c_78]) ).
tcf(c_558048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(s(X0,X1),X1,X2,X3),X4)
| ~ s_t(X0,ext(s(X0,X1),X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_552657,c_77]) ).
tcf(c_558049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,X1)
| ~ s_t(X0,X1,ext(s(X2,X0),X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_552657,c_76]) ).
tcf(c_558050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ~ s_t(X0,X1,ext(s(X1,X0),X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_552657,c_75]) ).
tcf(c_558051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(ext(s(X0,X1),X1,X2,X3),X1,X0),
inference(superposition,[status(thm)],[c_552657,c_73]) ).
tcf(c_558054,plain,
! [X0: $i,X1: $i,X2: $i] : s_t(s(X0,X0),X0,ext(s(X0,X0),X0,X1,X2)),
inference(superposition,[status(thm)],[c_552657,c_480181]) ).
tcf(c_558056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_t(X0,X1,ext(s(X0,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3),X4,X5)),
inference(superposition,[status(thm)],[c_552657,c_480204]) ).
tcf(c_558057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_t(X0,ext(X1,X0,X2,X3),ext(s(X1,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3),X4,X5)),
inference(superposition,[status(thm)],[c_552657,c_480134]) ).
tcf(c_558058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X0,X1,X2),ext(s(X0,c63(X0,X1,X2)),c63(X0,X1,X2),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_481092]) ).
tcf(c_558059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X1,ext(s(X0,c63(X0,X1,X2)),c63(X0,X1,X2),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_481089]) ).
tcf(c_558060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,c63(X0,X1,X2),ext(s(X2,c63(X0,X1,X2)),c63(X0,X1,X2),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_481153]) ).
tcf(c_558061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ext(s(X2,c63(X0,X1,X2)),c63(X0,X1,X2),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_481150]) ).
tcf(c_558062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_t(X0,X1,ext(s(ext(X1,X0,X2,X3),X1),X1,X4,X5)),
inference(superposition,[status(thm)],[c_552657,c_481347]) ).
tcf(c_558063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : s_t(ext(X0,X1,X2,X3),X1,ext(s(ext(X0,X1,X2,X3),X0),X0,X4,X5)),
inference(superposition,[status(thm)],[c_552657,c_481344]) ).
tcf(c_558064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,ext(s(X0,s(X1,X0)),s(X1,X0),X2,X3)),
inference(superposition,[status(thm)],[c_552657,c_485960]) ).
tcf(c_558065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,ext(s(s(X0,X1),X1),X1,X2,X3)),
inference(superposition,[status(thm)],[c_552657,c_486092]) ).
tcf(c_558066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X0,ext(s(ext(X0,X1,X2,X3),X1),X1,X4,X5))
| s_t(ext(X0,X1,X2,X3),ext(s(ext(X0,X1,X2,X3),X1),X1,X4,X5),X0)
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_552657,c_481342]) ).
tcf(c_558067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X0,ext(s(ext(X0,X1,X2,X3),X1),X1,X4,X5))
| s_t(X1,ext(s(ext(X0,X1,X2,X3),X1),X1,X4,X5),X0)
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_552657,c_481341]) ).
tcf(c_558068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ins(X2,X3,X0,X1),ext(s(X0,ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1),X4,X5))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_552657,c_480744]) ).
tcf(c_558069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,ext(s(X0,ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1),X4,X5))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_552657,c_480741]) ).
tcf(c_558070,plain,
! [X0: $i] : ext(s(X0,X0),X0,X0,X0) = X0,
inference(superposition,[status(thm)],[c_552657,c_480982]) ).
tcf(c_558071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,ext(s(X1,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3),X4,X5))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_552657,c_480227]) ).
tcf(c_558072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(X0,X1,X2,X3),ext(s(X1,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3),X4,X5))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_552657,c_480157]) ).
tcf(c_558073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ins(X2,X3,X0,X1),ext(s(X1,ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1),X4,X5))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_552657,c_480743]) ).
tcf(c_558074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X1,ext(s(X1,ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1),X4,X5))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_552657,c_480740]) ).
tcf(c_558075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(X0,X1,X2),ext(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_539198]) ).
tcf(c_558076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,ext(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_538289]) ).
tcf(c_558077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,c63(X0,X1,X2),ext(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_532776]) ).
tcf(c_558078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,X1,ext(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2),X3,X4))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_531999]) ).
tcf(c_558079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),ext(s(ip(X0,X1,X2,X3,X4),X3),X3,X5,X6))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_480228]) ).
tcf(c_558080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X3,ext(s(ip(X0,X1,X2,X3,X4),X3),X3,X5,X6))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_480158]) ).
tcf(c_558081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),ext(s(ip(X0,X1,X2,X3,X4),X0),X0,X5,X6))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_480229]) ).
tcf(c_558082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X0,ext(s(ip(X0,X1,X2,X3,X4),X0),X0,X5,X6))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_480159]) ).
tcf(c_558083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X3,ext(s(X1,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X5,X6))
| s_t(ip(X0,X1,X2,X3,X4),ext(s(X1,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X5,X6),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_480647]) ).
tcf(c_558084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X3,ext(s(X1,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X5,X6))
| s_t(X1,ext(s(X1,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X5,X6),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_480600]) ).
tcf(c_558085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X0,ext(s(X4,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X5,X6))
| s_t(ip(X0,X1,X2,X3,X4),ext(s(X4,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X5,X6),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_480648]) ).
tcf(c_558086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X0,ext(s(X4,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X5,X6))
| s_t(X4,ext(s(X4,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X5,X6),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_480601]) ).
tcf(c_558089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = ext(X0,X1,X2,X3) ) ),
inference(superposition,[status(thm)],[c_552657,c_480012]) ).
tcf(c_558090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X3,X4,X2,X5,X1),X4,ext(s(X1,crossbar(X0,X3,X4,X2,X5,X1)),crossbar(X0,X3,X4,X2,X5,X1),X6,X7))
| s_t(crossbar(X0,X3,X4,X2,X5,X1),ext(s(X1,crossbar(X0,X3,X4,X2,X5,X1)),crossbar(X0,X3,X4,X2,X5,X1),X6,X7),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_480651]) ).
tcf(c_558091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X4,ext(s(X1,crossbar(X0,X3,X4,X2,X5,X1)),crossbar(X0,X3,X4,X2,X5,X1),X6,X7))
| s_t(X1,ext(s(X1,crossbar(X0,X3,X4,X2,X5,X1)),crossbar(X0,X3,X4,X2,X5,X1),X6,X7),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_480604]) ).
tcf(c_558092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X2,ext(s(crossbar(X0,X1,X2,X4,X5,X3),X2),X2,X6,X7))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_480258]) ).
tcf(c_558093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X5,X3),ext(s(crossbar(X0,X1,X2,X4,X5,X3),X2),X2,X6,X7))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_480255]) ).
tcf(c_558094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(crossbar(X0,X1,X2,X4,X5,X3),X5,ext(s(X1,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X6,X7))
| s_t(crossbar(X0,X1,X2,X4,X5,X3),ext(s(X1,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_480652]) ).
tcf(c_558095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X5,ext(s(X1,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X6,X7))
| s_t(X1,ext(s(X1,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_480605]) ).
tcf(c_558096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X5,ext(s(crossbar(X0,X1,X2,X4,X5,X3),X5),X5,X6,X7))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_480320]) ).
tcf(c_558097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),ext(s(crossbar(X0,X1,X2,X4,X5,X3),X5),X5,X6,X7))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_552657,c_480317]) ).
tcf(c_570014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(X1,s(X1,X2),s(s(X1,X2),X2),X0,s(X1,X2),X3) = s(X1,X2) )
| ~ s_t(X1,X3,X0)
| ~ s_t(X0,s(X1,X2),s(s(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_553521,c_480316]) ).
tcf(c_570015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(X0,s(X0,X1),s(s(X0,X1),X1),X2,X3,s(s(X0,X1),X1)) = s(s(X0,X1),X1) )
| ~ s_t(X2,X3,s(s(X0,X1),X1))
| ~ s_t(X0,s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_553521,c_480254]) ).
tcf(c_570016,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X0 )
| ( ext(X0,s(X0,X1),s(X0,X1),s(s(X0,X1),X1)) = s(s(X0,X1),X1) ) ),
inference(superposition,[status(thm)],[c_553521,c_480013]) ).
tcf(c_570017,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X0 )
| ( ext(X0,s(X0,X1),s(s(X0,X1),X1),s(X0,X1)) = s(s(X0,X1),X1) ) ),
inference(superposition,[status(thm)],[c_553521,c_480011]) ).
tcf(c_570018,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(X1,s(X1,X2),s(s(X1,X2),X2),X0,X1) = X1 )
| ~ s_t(X0,X1,s(s(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_553521,c_479924]) ).
tcf(c_570019,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(X0,s(X0,X1),s(s(X0,X1),X1),s(X0,X1),X2) = s(X0,X1) )
| ~ s_t(s(X0,X1),X2,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_553521,c_479914]) ).
tcf(c_570020,plain,
! [X0: $i,X1: $i] :
( sameside(s(s(X0,X1),X1),X0,s(X0,X1))
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = X0 ) ),
inference(superposition,[status(thm)],[c_553521,c_238]) ).
tcf(c_570021,plain,
! [X0: $i,X1: $i] :
( sameside(s(X0,X1),X0,s(s(X0,X1),X1))
| ( X0 = xb )
| ( s(X0,X1) = X0 ) ),
inference(superposition,[status(thm)],[c_553521,c_237]) ).
tcf(c_570025,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0,X1) = X2 )
| ~ s_r(X0,X2,s(X0,X1))
| ~ s_r(s(s(X0,X1),X1),X2,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_553521,c_184]) ).
tcf(c_570026,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X0,s(s(X1,X2),X2))
| s_t(X0,X1,s(s(X1,X2),X2))
| ( s(s(X1,X2),X2) = s(X1,X2) )
| ~ s_t(X0,s(X1,X2),s(s(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_553521,c_147]) ).
tcf(c_570027,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,X2),X1)
| ( s(X1,X2) = X1 )
| ( s(s(X1,X2),X2) = s(X1,X2) )
| ~ sameside(X0,s(X1,X2),s(s(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_553521,c_145]) ).
tcf(c_570028,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,s(X1,X2),X1)
| sameside(X0,s(X1,X2),s(s(X1,X2),X2))
| ( s(X1,X2) = X1 )
| ( s(X1,X2) = X0 )
| ( s(s(X1,X2),X2) = s(X1,X2) )
| ~ s_col(X0,s(X1,X2),X1) ),
inference(superposition,[status(thm)],[c_553521,c_143]) ).
tcf(c_570030,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X1,s(X1,X2),X0)
| ( s(X1,X2) = X1 )
| ( s(X1,X2) = X0 )
| ( s(s(X1,X2),X2) = s(X1,X2) )
| ~ s_t(X0,s(X1,X2),s(s(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_553521,c_131]) ).
tcf(c_570031,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,s(X0,X1),s(s(X0,X1),X1))
| ( s(X0,X1) = X2 )
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ sameside(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_553521,c_125]) ).
tcf(c_570032,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,s(X0,X2))
| s_t(X0,s(X0,X2),X1)
| ~ s_t(X0,X1,s(s(X0,X2),X2)) ),
inference(superposition,[status(thm)],[c_553521,c_109]) ).
tcf(c_570033,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,X1),X2,s(s(X0,X1),X1))
| s_t(s(X0,X1),s(s(X0,X1),X1),X2)
| ( s(X0,X1) = X0 )
| ~ s_t(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_553521,c_108]) ).
tcf(c_570034,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,s(s(X0,X1),X1))
| s_t(X0,s(s(X0,X1),X1),X2)
| ( s(X0,X1) = X0 )
| ~ s_t(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_553521,c_107]) ).
tcf(c_570035,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,s(X0,X1),X2)
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_t(s(X0,X1),s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_553521,c_81]) ).
tcf(c_570036,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,s(X0,X1),X2)
| ~ s_t(X0,s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_553521,c_80]) ).
tcf(c_570037,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,s(s(X0,X1),X1))
| ~ s_t(s(X0,X1),X2,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_553521,c_79]) ).
tcf(c_570038,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,s(s(X0,X1),X1),X2)
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_t(s(X0,X1),s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_553521,c_78]) ).
tcf(c_570039,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,X1),s(s(X0,X1),X1),X2)
| ~ s_t(X0,s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_553521,c_77]) ).
tcf(c_570040,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,s(X0,X1),X2)
| ~ s_t(s(X0,X1),X2,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_553521,c_76]) ).
tcf(c_570041,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X0 )
| ~ s_t(s(X0,X1),X0,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_553521,c_75]) ).
tcf(c_570043,plain,
! [X0: $i] : s_t(X0,X0,s(s(X0,X0),X0)),
inference(superposition,[status(thm)],[c_553521,c_485960]) ).
tcf(c_570134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X0,ins(X2,X3,X0,X1))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_110,c_481809]) ).
tcf(c_570135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(ins(X2,X3,X0,X1),X1,X4,X5),ins(X2,X3,X0,X1))
| s_t(ext(ins(X2,X3,X0,X1),X1,X4,X5),X0,ins(X2,X3,X0,X1))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480073,c_481809]) ).
tcf(c_570136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,s(X1,ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1))
| s_t(s(X1,ins(X2,X3,X0,X1)),X0,ins(X2,X3,X0,X1))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_485941,c_481809]) ).
tcf(c_570137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,c63(ins(X0,X1,X2,X3),X3,X4),ins(X0,X1,X2,X3))
| s_t(c63(ins(X0,X1,X2,X3),X3,X4),X2,ins(X0,X1,X2,X3))
| ( ins(X0,X1,X2,X3) = X3 )
| ~ le(X2,X3,X0,X1)
| ~ sameside(ins(X0,X1,X2,X3),X3,X4) ),
inference(superposition,[status(thm)],[c_481095,c_481809]) ).
tcf(c_570138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,c63(X0,X1,ins(X2,X3,X4,X1)),ins(X2,X3,X4,X1))
| s_t(c63(X0,X1,ins(X2,X3,X4,X1)),X4,ins(X2,X3,X4,X1))
| ( ins(X2,X3,X4,X1) = X1 )
| ~ le(X4,X1,X2,X3)
| ~ sameside(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_481156,c_481809]) ).
tcf(c_570139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ext(X4,X0,X5,X6),ins(X1,X2,X3,X0))
| s_t(ext(X4,X0,X5,X6),X3,ins(X1,X2,X3,X0))
| ( ins(X1,X2,X3,X0) = X0 )
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_481348,c_481809]) ).
tcf(c_570140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ext(ins(X2,X3,X4,X1),X0,X5,X6),ins(X2,X3,X4,X1))
| s_t(ext(ins(X2,X3,X4,X1),X0,X5,X6),X4,ins(X2,X3,X4,X1))
| ( ins(X2,X3,X4,X1) = X1 )
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_481345,c_481809]) ).
tcf(c_570141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,s(X0,ins(X2,X3,X4,X1)),ins(X2,X3,X4,X1))
| s_t(s(X0,ins(X2,X3,X4,X1)),X4,ins(X2,X3,X4,X1))
| ( ins(X2,X3,X4,X1) = X1 )
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_486090,c_481809]) ).
tcf(c_570142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X0,ins(X2,X3,X4,ins(X5,X6,X0,X1)))
| s_t(X0,X4,ins(X2,X3,X4,ins(X5,X6,X0,X1)))
| s_t(X0,ins(X2,X3,X4,ins(X5,X6,X0,X1)),ins(X5,X6,X0,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X4,ins(X5,X6,X0,X1)) = ins(X5,X6,X0,X1) )
| ~ le(X0,X1,X5,X6)
| ~ le(X4,ins(X5,X6,X0,X1),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,ins(X5,X6,X0,X1))) ),
inference(superposition,[status(thm)],[c_480739,c_481809]) ).
tcf(c_570143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,ins(X2,X3,X0,X1))
| s_t(X1,ins(X2,X3,X0,X1),X1)
| s_t(X0,X1,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ s_t(X0,X1,X1)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480738,c_481809]) ).
tcf(c_570144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X0,ins(X2,X3,X0,X1))
| s_t(X0,ins(X2,X3,X0,X1),X1)
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ s_t(X0,X1,X1)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480739,c_481809]) ).
tcf(c_570145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X1,ins(X2,X3,X4,ins(X5,X6,X0,X1)))
| s_t(X1,X4,ins(X2,X3,X4,ins(X5,X6,X0,X1)))
| s_t(X1,ins(X2,X3,X4,ins(X5,X6,X0,X1)),ins(X5,X6,X0,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X4,ins(X5,X6,X0,X1)) = ins(X5,X6,X0,X1) )
| ~ le(X0,X1,X5,X6)
| ~ le(X4,ins(X5,X6,X0,X1),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,ins(X5,X6,X0,X1))) ),
inference(superposition,[status(thm)],[c_480738,c_481809]) ).
tcf(c_570146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ins(X4,X5,ins(X0,X1,X2,X3),X3),ins(X0,X1,X2,X3))
| s_t(ins(X4,X5,ins(X0,X1,X2,X3),X3),X2,ins(X0,X1,X2,X3))
| ( ins(X0,X1,X2,X3) = X3 )
| ~ le(X2,X3,X0,X1)
| ~ le(ins(X0,X1,X2,X3),X3,X4,X5) ),
inference(superposition,[status(thm)],[c_480747,c_481809]) ).
tcf(c_570147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ext(X1,X0,X5,X6),ins(X2,X3,X4,X1))
| s_t(ext(X1,X0,X5,X6),X4,ins(X2,X3,X4,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X4,X1) = X1 )
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_481346,c_481809]) ).
tcf(c_570148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,s(X1,s(ins(X2,X3,X0,X1),X1)),ins(X2,X3,X0,X1))
| s_t(s(X1,s(ins(X2,X3,X0,X1),X1)),X0,ins(X2,X3,X0,X1))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_553551,c_481809]) ).
tcf(c_570149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ext(X1,X0,X5,X6),ins(X2,X3,X4,X0))
| s_t(ext(X1,X0,X5,X6),X4,ins(X2,X3,X4,X0))
| ( X0 = X1 )
| ( ins(X2,X3,X4,X0) = X0 )
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_481343,c_481809]) ).
tcf(c_570150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X0,ins(X1,X2,X3,ip(X4,X0,X5,X6,X7)))
| s_t(X0,X3,ins(X1,X2,X3,ip(X4,X0,X5,X6,X7)))
| s_t(X0,ins(X1,X2,X3,ip(X4,X0,X5,X6,X7)),ip(X4,X0,X5,X6,X7))
| ( ins(X1,X2,X3,ip(X4,X0,X5,X6,X7)) = ip(X4,X0,X5,X6,X7) )
| ~ s_t(X6,X7,X5)
| ~ s_t(X4,X0,X5)
| ~ le(X3,ip(X4,X0,X5,X6,X7),X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,ip(X4,X0,X5,X6,X7)),X6) ),
inference(superposition,[status(thm)],[c_480702,c_481809]) ).
tcf(c_570151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,X0,ins(X2,X3,X4,ip(X5,X0,X6,X1,X7)))
| s_t(X0,X4,ins(X2,X3,X4,ip(X5,X0,X6,X1,X7)))
| ( ins(X2,X3,X4,ip(X5,X0,X6,X1,X7)) = ip(X5,X0,X6,X1,X7) )
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X7,X6)
| ~ le(X4,ip(X5,X0,X6,X1,X7),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,ip(X5,X0,X6,X1,X7))) ),
inference(superposition,[status(thm)],[c_480205,c_481809]) ).
tcf(c_570152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,ip(X5,X0,X6,X1,X7),ins(X2,X3,X4,X1))
| s_t(ip(X5,X0,X6,X1,X7),X4,ins(X2,X3,X4,X1))
| ( ins(X2,X3,X4,X1) = X1 )
| ~ s_t(X5,X0,X6)
| ~ s_t(X1,X7,X6)
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_480135,c_481809]) ).
tcf(c_570153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,X0,ins(X1,X2,X3,ip(X4,X5,X6,X7,X0)))
| s_t(X0,X3,ins(X1,X2,X3,ip(X4,X5,X6,X7,X0)))
| s_t(X0,ins(X1,X2,X3,ip(X4,X5,X6,X7,X0)),ip(X4,X5,X6,X7,X0))
| ( ins(X1,X2,X3,ip(X4,X5,X6,X7,X0)) = ip(X4,X5,X6,X7,X0) )
| ~ s_t(X7,X0,X6)
| ~ s_t(X4,X5,X6)
| ~ le(X3,ip(X4,X5,X6,X7,X0),X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,ip(X4,X5,X6,X7,X0)),X4) ),
inference(superposition,[status(thm)],[c_480703,c_481809]) ).
tcf(c_570154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,X0,ins(X2,X3,X4,ip(X1,X5,X6,X7,X0)))
| s_t(X0,X4,ins(X2,X3,X4,ip(X1,X5,X6,X7,X0)))
| ( ins(X2,X3,X4,ip(X1,X5,X6,X7,X0)) = ip(X1,X5,X6,X7,X0) )
| ~ s_t(X7,X0,X6)
| ~ s_t(X1,X5,X6)
| ~ le(X4,ip(X1,X5,X6,X7,X0),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,ip(X1,X5,X6,X7,X0))) ),
inference(superposition,[status(thm)],[c_480206,c_481809]) ).
tcf(c_570155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,ip(X1,X5,X6,X7,X0),ins(X2,X3,X4,X1))
| s_t(ip(X1,X5,X6,X7,X0),X4,ins(X2,X3,X4,X1))
| ( ins(X2,X3,X4,X1) = X1 )
| ~ s_t(X7,X0,X6)
| ~ s_t(X1,X5,X6)
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_480136,c_481809]) ).
tcf(c_570156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X0,ins(X2,X3,X4,ext(X0,X1,X5,X6)))
| s_t(X0,X4,ins(X2,X3,X4,ext(X0,X1,X5,X6)))
| s_t(X0,ins(X2,X3,X4,ext(X0,X1,X5,X6)),ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ( ins(X2,X3,X4,ext(X0,X1,X5,X6)) = ext(X0,X1,X5,X6) )
| ~ le(X4,ext(X0,X1,X5,X6),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,ext(X0,X1,X5,X6))) ),
inference(superposition,[status(thm)],[c_480599,c_481809]) ).
tcf(c_570157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X0,ins(X2,X3,X4,c63(X0,X1,X5)))
| s_t(X0,X4,ins(X2,X3,X4,c63(X0,X1,X5)))
| s_t(X0,ins(X2,X3,X4,c63(X0,X1,X5)),c63(X0,X1,X5))
| ( X0 = X1 )
| ( ins(X2,X3,X4,c63(X0,X1,X5)) = c63(X0,X1,X5) )
| ~ sameside(X0,X1,X5)
| ~ le(X4,c63(X0,X1,X5),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,c63(X0,X1,X5))) ),
inference(superposition,[status(thm)],[c_481087,c_481809]) ).
tcf(c_570158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X0,ins(X2,X3,X4,c63(X5,X1,X0)))
| s_t(X0,X4,ins(X2,X3,X4,c63(X5,X1,X0)))
| s_t(X0,ins(X2,X3,X4,c63(X5,X1,X0)),c63(X5,X1,X0))
| ( X0 = X1 )
| ( ins(X2,X3,X4,c63(X5,X1,X0)) = c63(X5,X1,X0) )
| ~ sameside(X5,X1,X0)
| ~ le(X4,c63(X5,X1,X0),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,c63(X5,X1,X0))) ),
inference(superposition,[status(thm)],[c_481148,c_481809]) ).
tcf(c_570159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X1,ins(X2,X3,X4,ext(X0,X1,X5,X6)))
| s_t(X1,X4,ins(X2,X3,X4,ext(X0,X1,X5,X6)))
| s_t(X1,ins(X2,X3,X4,ext(X0,X1,X5,X6)),ext(X0,X1,X5,X6))
| ( X0 = X1 )
| ( ins(X2,X3,X4,ext(X0,X1,X5,X6)) = ext(X0,X1,X5,X6) )
| ~ le(X4,ext(X0,X1,X5,X6),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,ext(X0,X1,X5,X6))) ),
inference(superposition,[status(thm)],[c_480646,c_481809]) ).
tcf(c_570160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X1,ins(X2,X3,X4,c63(X0,X1,X5)))
| s_t(X1,X4,ins(X2,X3,X4,c63(X0,X1,X5)))
| s_t(X1,ins(X2,X3,X4,c63(X0,X1,X5)),c63(X0,X1,X5))
| ( X0 = X1 )
| ( ins(X2,X3,X4,c63(X0,X1,X5)) = c63(X0,X1,X5) )
| ~ sameside(X0,X1,X5)
| ~ le(X4,c63(X0,X1,X5),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,c63(X0,X1,X5))) ),
inference(superposition,[status(thm)],[c_481086,c_481809]) ).
tcf(c_570161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X1,ins(X2,X3,X4,c63(X5,X1,X0)))
| s_t(X1,X4,ins(X2,X3,X4,c63(X5,X1,X0)))
| s_t(X1,ins(X2,X3,X4,c63(X5,X1,X0)),c63(X5,X1,X0))
| ( X0 = X1 )
| ( ins(X2,X3,X4,c63(X5,X1,X0)) = c63(X5,X1,X0) )
| ~ sameside(X5,X1,X0)
| ~ le(X4,c63(X5,X1,X0),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,c63(X5,X1,X0))) ),
inference(superposition,[status(thm)],[c_481147,c_481809]) ).
tcf(c_570162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,ins(X2,X3,X0,X1))
| s_t(X0,X4,ins(X2,X3,X0,X1))
| ( X1 = X4 )
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ sameside(X0,X1,X4)
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_481026,c_481809]) ).
tcf(c_570163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,X0,ins(X1,X2,X3,crossbar(X4,X5,X6,X7,X8,X0)))
| s_t(X0,X3,ins(X1,X2,X3,crossbar(X4,X5,X6,X7,X8,X0)))
| s_t(X0,ins(X1,X2,X3,crossbar(X4,X5,X6,X7,X8,X0)),crossbar(X4,X5,X6,X7,X8,X0))
| ( ins(X1,X2,X3,crossbar(X4,X5,X6,X7,X8,X0)) = crossbar(X4,X5,X6,X7,X8,X0) )
| ~ s_t(X7,X8,X6)
| ~ s_t(X4,X5,X6)
| ~ s_t(X4,X0,X7)
| ~ le(X3,crossbar(X4,X5,X6,X7,X8,X0),X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,crossbar(X4,X5,X6,X7,X8,X0)),X6) ),
inference(superposition,[status(thm)],[c_480706,c_481809]) ).
tcf(c_570164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,X0,ins(X2,X3,X4,crossbar(X5,X6,X1,X7,X8,X0)))
| s_t(X0,X4,ins(X2,X3,X4,crossbar(X5,X6,X1,X7,X8,X0)))
| ( ins(X2,X3,X4,crossbar(X5,X6,X1,X7,X8,X0)) = crossbar(X5,X6,X1,X7,X8,X0) )
| ~ s_t(X7,X8,X1)
| ~ s_t(X5,X6,X1)
| ~ s_t(X5,X0,X7)
| ~ le(X4,crossbar(X5,X6,X1,X7,X8,X0),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,crossbar(X5,X6,X1,X7,X8,X0))) ),
inference(superposition,[status(thm)],[c_480256,c_481809]) ).
tcf(c_570165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,crossbar(X5,X6,X1,X7,X8,X0),ins(X2,X3,X4,X1))
| s_t(crossbar(X5,X6,X1,X7,X8,X0),X4,ins(X2,X3,X4,X1))
| ( ins(X2,X3,X4,X1) = X1 )
| ~ s_t(X7,X8,X1)
| ~ s_t(X5,X6,X1)
| ~ s_t(X5,X0,X7)
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_480259,c_481809]) ).
tcf(c_570166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,X0,ins(X2,X3,X4,crossbar(X5,X0,X6,X7,X1,X8)))
| s_t(X0,X4,ins(X2,X3,X4,crossbar(X5,X0,X6,X7,X1,X8)))
| ( ins(X2,X3,X4,crossbar(X5,X0,X6,X7,X1,X8)) = crossbar(X5,X0,X6,X7,X1,X8) )
| ~ s_t(X7,X1,X6)
| ~ s_t(X5,X8,X7)
| ~ s_t(X5,X0,X6)
| ~ le(X4,crossbar(X5,X0,X6,X7,X1,X8),X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,crossbar(X5,X0,X6,X7,X1,X8))) ),
inference(superposition,[status(thm)],[c_480318,c_481809]) ).
tcf(c_570167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X4,crossbar(X5,X0,X6,X8,X1,X7),ins(X2,X3,X4,X1))
| s_t(crossbar(X5,X0,X6,X8,X1,X7),X4,ins(X2,X3,X4,X1))
| ( ins(X2,X3,X4,X1) = X1 )
| ~ s_t(X8,X1,X6)
| ~ s_t(X5,X7,X8)
| ~ s_t(X5,X0,X6)
| ~ le(X4,X1,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X1)) ),
inference(superposition,[status(thm)],[c_480321,c_481809]) ).
tcf(c_570168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X3,X0,ins(X1,X2,X3,crossbar(X4,X0,X5,X6,X7,X8)))
| s_t(X0,X3,ins(X1,X2,X3,crossbar(X4,X0,X5,X6,X7,X8)))
| s_t(X0,ins(X1,X2,X3,crossbar(X4,X0,X5,X6,X7,X8)),crossbar(X4,X0,X5,X6,X7,X8))
| ( ins(X1,X2,X3,crossbar(X4,X0,X5,X6,X7,X8)) = crossbar(X4,X0,X5,X6,X7,X8) )
| ~ s_t(X6,X7,X5)
| ~ s_t(X4,X8,X6)
| ~ s_t(X4,X0,X5)
| ~ le(X3,crossbar(X4,X0,X5,X6,X7,X8),X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,crossbar(X4,X0,X5,X6,X7,X8)),X7) ),
inference(superposition,[status(thm)],[c_480707,c_481809]) ).
tcf(c_570169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,s(s(X1,ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1))
| s_t(s(s(X1,ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1)),X0,ins(X2,X3,X0,X1))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_517647,c_481809]) ).
tcf(c_570170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(ins(X2,X3,X0,X1),s(X1,ins(X2,X3,X0,X1)),X4,X5),ins(X2,X3,X0,X1))
| s_t(ext(ins(X2,X3,X0,X1),s(X1,ins(X2,X3,X0,X1)),X4,X5),X0,ins(X2,X3,X0,X1))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_523173,c_481809]) ).
tcf(c_570171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,s(s(s(X1,ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1))
| s_t(s(s(s(X1,ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1)),X0,ins(X2,X3,X0,X1))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_529313,c_481809]) ).
tcf(c_570172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,s(X1,ext(X1,ins(X2,X3,X0,X1),X4,X5)),ins(X2,X3,X0,X1))
| s_t(s(X1,ext(X1,ins(X2,X3,X0,X1),X4,X5)),X0,ins(X2,X3,X0,X1))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_548076,c_481809]) ).
tcf(c_570173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,s(ext(ins(X2,X3,X0,X1),X1,X4,X5),ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1))
| s_t(s(ext(ins(X2,X3,X0,X1),X1,X4,X5),ins(X2,X3,X0,X1)),X0,ins(X2,X3,X0,X1))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_499667,c_481809]) ).
tcf(c_570175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,ins(X2,X3,X1,X1))
| s_t(X0,X1,ins(X2,X3,X1,X1))
| ( ins(X2,X3,X1,X1) = X1 )
| ~ le(X1,X1,X2,X3)
| ~ s_t(X0,X1,ext(X1,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_523877,c_481809]) ).
tcf(c_570176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,ins(X2,X3,X1,X1))
| s_t(X0,X1,ins(X2,X3,X1,X1))
| ( ins(X2,X3,X1,X1) = X1 )
| ~ s_t(X0,X1,ext(X1,X1,X2,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_570175,c_119]) ).
tcf(c_570200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,ins(X2,X3,X0,X1))
| s_t(X1,ins(X2,X3,X0,X1),X1)
| s_t(X0,X1,ins(X2,X3,X0,X1))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_570143,c_72]) ).
tcf(c_570690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X0,c63(X2,X1,X3))
| s_t(X0,X2,c63(X2,X1,X3))
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_481810,c_128]) ).
tcf(c_570704,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X0,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_129,c_570690]) ).
tcf(c_570705,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,c63(X0,X1,X2))
| s_t(X0,X2,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_130,c_570690]) ).
tcf(c_570706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ext(c63(X0,X1,X2),X1,X3,X4),c63(X0,X1,X2))
| s_t(ext(c63(X0,X1,X2),X1,X3,X4),X0,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480073,c_570690]) ).
tcf(c_570707,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,s(X1,c63(X0,X1,X2)),c63(X0,X1,X2))
| s_t(s(X1,c63(X0,X1,X2)),X0,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485941,c_570690]) ).
tcf(c_570708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,c63(c63(X0,X1,X2),X1,X3),c63(X0,X1,X2))
| s_t(c63(c63(X0,X1,X2),X1,X3),X0,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2)
| ~ sameside(c63(X0,X1,X2),X1,X3) ),
inference(superposition,[status(thm)],[c_481095,c_570690]) ).
tcf(c_570709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,c63(X0,X1,c63(X2,X1,X3)),c63(X2,X1,X3))
| s_t(c63(X0,X1,c63(X2,X1,X3)),X2,c63(X2,X1,X3))
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481156,c_570690]) ).
tcf(c_570710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,ext(X3,X0,X4,X5),c63(X1,X0,X2))
| s_t(ext(X3,X0,X4,X5),X1,c63(X1,X0,X2))
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_481348,c_570690]) ).
tcf(c_570711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ext(c63(X2,X1,X3),X0,X4,X5),c63(X2,X1,X3))
| s_t(ext(c63(X2,X1,X3),X0,X4,X5),X2,c63(X2,X1,X3))
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481345,c_570690]) ).
tcf(c_570712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,s(X0,c63(X2,X1,X3)),c63(X2,X1,X3))
| s_t(s(X0,c63(X2,X1,X3)),X2,c63(X2,X1,X3))
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_486090,c_570690]) ).
tcf(c_570713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X0,c63(X2,ins(X3,X4,X0,X1),X5))
| s_t(X0,X2,c63(X2,ins(X3,X4,X0,X1),X5))
| s_t(X0,c63(X2,ins(X3,X4,X0,X1),X5),ins(X3,X4,X0,X1))
| ( X0 = X1 )
| ~ le(X0,X1,X3,X4)
| ~ sameside(X2,ins(X3,X4,X0,X1),X5)
| ~ s_t(X0,X1,c63(X2,ins(X3,X4,X0,X1),X5)) ),
inference(superposition,[status(thm)],[c_480739,c_570690]) ).
tcf(c_570714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,c63(X2,ins(X3,X4,X0,X1),X5))
| s_t(X1,X2,c63(X2,ins(X3,X4,X0,X1),X5))
| s_t(X1,c63(X2,ins(X3,X4,X0,X1),X5),ins(X3,X4,X0,X1))
| ( X0 = X1 )
| ~ le(X0,X1,X3,X4)
| ~ sameside(X2,ins(X3,X4,X0,X1),X5)
| ~ s_t(X0,X1,c63(X2,ins(X3,X4,X0,X1),X5)) ),
inference(superposition,[status(thm)],[c_480738,c_570690]) ).
tcf(c_570715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ins(X3,X4,c63(X0,X1,X2),X1),c63(X0,X1,X2))
| s_t(ins(X3,X4,c63(X0,X1,X2),X1),X0,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2)
| ~ le(c63(X0,X1,X2),X1,X3,X4) ),
inference(superposition,[status(thm)],[c_480747,c_570690]) ).
tcf(c_570716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ext(X1,X0,X4,X5),c63(X2,X1,X3))
| s_t(ext(X1,X0,X4,X5),X2,c63(X2,X1,X3))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481346,c_570690]) ).
tcf(c_570717,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,s(X1,s(c63(X0,X1,X2),X1)),c63(X0,X1,X2))
| s_t(s(X1,s(c63(X0,X1,X2),X1)),X0,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553551,c_570690]) ).
tcf(c_570718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ext(X1,X0,X4,X5),c63(X2,X0,X3))
| s_t(ext(X1,X0,X4,X5),X2,c63(X2,X0,X3))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481343,c_570690]) ).
tcf(c_570719,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X0,c63(X1,ip(X2,X0,X3,X4,X5),X6))
| s_t(X0,X1,c63(X1,ip(X2,X0,X3,X4,X5),X6))
| s_t(X0,c63(X1,ip(X2,X0,X3,X4,X5),X6),ip(X2,X0,X3,X4,X5))
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X3)
| ~ sameside(X1,ip(X2,X0,X3,X4,X5),X6)
| ~ s_t(X0,c63(X1,ip(X2,X0,X3,X4,X5),X6),X4) ),
inference(superposition,[status(thm)],[c_480702,c_570690]) ).
tcf(c_570720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X0,c63(X2,ip(X3,X0,X4,X1,X5),X6))
| s_t(X0,X2,c63(X2,ip(X3,X0,X4,X1,X5),X6))
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X5,X4)
| ~ sameside(X2,ip(X3,X0,X4,X1,X5),X6)
| ~ s_t(X0,X1,c63(X2,ip(X3,X0,X4,X1,X5),X6)) ),
inference(superposition,[status(thm)],[c_480205,c_570690]) ).
tcf(c_570721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ip(X4,X0,X5,X1,X6),c63(X2,X1,X3))
| s_t(ip(X4,X0,X5,X1,X6),X2,c63(X2,X1,X3))
| ~ sameside(X2,X1,X3)
| ~ s_t(X4,X0,X5)
| ~ s_t(X1,X6,X5)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480135,c_570690]) ).
tcf(c_570722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,X0,c63(X1,ip(X2,X3,X4,X5,X0),X6))
| s_t(X0,X1,c63(X1,ip(X2,X3,X4,X5,X0),X6))
| s_t(X0,c63(X1,ip(X2,X3,X4,X5,X0),X6),ip(X2,X3,X4,X5,X0))
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4)
| ~ sameside(X1,ip(X2,X3,X4,X5,X0),X6)
| ~ s_t(X0,c63(X1,ip(X2,X3,X4,X5,X0),X6),X2) ),
inference(superposition,[status(thm)],[c_480703,c_570690]) ).
tcf(c_570723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X0,c63(X2,ip(X1,X3,X4,X5,X0),X6))
| s_t(X0,X2,c63(X2,ip(X1,X3,X4,X5,X0),X6))
| ~ s_t(X5,X0,X4)
| ~ s_t(X1,X3,X4)
| ~ sameside(X2,ip(X1,X3,X4,X5,X0),X6)
| ~ s_t(X0,X1,c63(X2,ip(X1,X3,X4,X5,X0),X6)) ),
inference(superposition,[status(thm)],[c_480206,c_570690]) ).
tcf(c_570724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ip(X1,X4,X5,X6,X0),c63(X2,X1,X3))
| s_t(ip(X1,X4,X5,X6,X0),X2,c63(X2,X1,X3))
| ~ sameside(X2,X1,X3)
| ~ s_t(X6,X0,X5)
| ~ s_t(X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480136,c_570690]) ).
tcf(c_570725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X0,c63(X2,ext(X0,X1,X3,X4),X5))
| s_t(X0,X2,c63(X2,ext(X0,X1,X3,X4),X5))
| s_t(X0,c63(X2,ext(X0,X1,X3,X4),X5),ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ~ sameside(X2,ext(X0,X1,X3,X4),X5)
| ~ s_t(X0,X1,c63(X2,ext(X0,X1,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_480599,c_570690]) ).
tcf(c_570726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,c63(X2,c63(X0,X1,X3),X4))
| s_t(X0,X2,c63(X2,c63(X0,X1,X3),X4))
| s_t(X0,c63(X2,c63(X0,X1,X3),X4),c63(X0,X1,X3))
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ sameside(X2,c63(X0,X1,X3),X4)
| ~ s_t(X0,X1,c63(X2,c63(X0,X1,X3),X4)) ),
inference(superposition,[status(thm)],[c_481087,c_570690]) ).
tcf(c_570727,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X0,c63(X0,X1,X2))
| s_t(X0,c63(X0,X1,X2),X1)
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481087,c_570690]) ).
tcf(c_570728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,c63(X2,c63(X3,X1,X0),X4))
| s_t(X0,X2,c63(X2,c63(X3,X1,X0),X4))
| s_t(X0,c63(X2,c63(X3,X1,X0),X4),c63(X3,X1,X0))
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ sameside(X2,c63(X3,X1,X0),X4)
| ~ s_t(X0,X1,c63(X2,c63(X3,X1,X0),X4)) ),
inference(superposition,[status(thm)],[c_481148,c_570690]) ).
tcf(c_570729,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,c63(X2,X1,X0))
| s_t(X0,X2,c63(X2,X1,X0))
| s_t(X0,c63(X2,X1,X0),X1)
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481148,c_570690]) ).
tcf(c_570730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X1,c63(X2,ext(X0,X1,X3,X4),X5))
| s_t(X1,X2,c63(X2,ext(X0,X1,X3,X4),X5))
| s_t(X1,c63(X2,ext(X0,X1,X3,X4),X5),ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ~ sameside(X2,ext(X0,X1,X3,X4),X5)
| ~ s_t(X0,X1,c63(X2,ext(X0,X1,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_480646,c_570690]) ).
tcf(c_570731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,c63(X2,c63(X0,X1,X3),X4))
| s_t(X1,X2,c63(X2,c63(X0,X1,X3),X4))
| s_t(X1,c63(X2,c63(X0,X1,X3),X4),c63(X0,X1,X3))
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ sameside(X2,c63(X0,X1,X3),X4)
| ~ s_t(X0,X1,c63(X2,c63(X0,X1,X3),X4)) ),
inference(superposition,[status(thm)],[c_481086,c_570690]) ).
tcf(c_570732,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X0,c63(X0,X1,X2))
| s_t(X1,c63(X0,X1,X2),X1)
| s_t(X0,X1,c63(X0,X1,X2))
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481086,c_570690]) ).
tcf(c_570733,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X1,c63(X2,c63(X3,X1,X0),X4))
| s_t(X1,X2,c63(X2,c63(X3,X1,X0),X4))
| s_t(X1,c63(X2,c63(X3,X1,X0),X4),c63(X3,X1,X0))
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ sameside(X2,c63(X3,X1,X0),X4)
| ~ s_t(X0,X1,c63(X2,c63(X3,X1,X0),X4)) ),
inference(superposition,[status(thm)],[c_481147,c_570690]) ).
tcf(c_570734,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,c63(X2,X1,X0))
| s_t(X1,X2,c63(X2,X1,X0))
| s_t(X1,c63(X2,X1,X0),X1)
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481147,c_570690]) ).
tcf(c_570735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X0,c63(X0,X1,X2))
| s_t(X0,X3,c63(X0,X1,X2))
| ( X1 = X3 )
| ( X1 = X2 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_534516,c_570690]) ).
tcf(c_570736,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X0,c63(X0,X1,X2))
| s_t(X0,X3,c63(X0,X1,X2))
| ( X1 = X3 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_528230,c_570690]) ).
tcf(c_570737,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X0,c63(X1,crossbar(X2,X3,X4,X5,X6,X0),X7))
| s_t(X0,X1,c63(X1,crossbar(X2,X3,X4,X5,X6,X0),X7))
| s_t(X0,c63(X1,crossbar(X2,X3,X4,X5,X6,X0),X7),crossbar(X2,X3,X4,X5,X6,X0))
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X0,X5)
| ~ sameside(X1,crossbar(X2,X3,X4,X5,X6,X0),X7)
| ~ s_t(X0,c63(X1,crossbar(X2,X3,X4,X5,X6,X0),X7),X4) ),
inference(superposition,[status(thm)],[c_480706,c_570690]) ).
tcf(c_570738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X0,c63(X2,crossbar(X3,X4,X1,X5,X6,X0),X7))
| s_t(X0,X2,c63(X2,crossbar(X3,X4,X1,X5,X6,X0),X7))
| ~ s_t(X5,X6,X1)
| ~ s_t(X3,X4,X1)
| ~ s_t(X3,X0,X5)
| ~ sameside(X2,crossbar(X3,X4,X1,X5,X6,X0),X7)
| ~ s_t(X0,X1,c63(X2,crossbar(X3,X4,X1,X5,X6,X0),X7)) ),
inference(superposition,[status(thm)],[c_480256,c_570690]) ).
tcf(c_570739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,crossbar(X4,X5,X1,X6,X7,X0),c63(X2,X1,X3))
| s_t(crossbar(X4,X5,X1,X6,X7,X0),X2,c63(X2,X1,X3))
| ~ sameside(X2,X1,X3)
| ~ s_t(X6,X7,X1)
| ~ s_t(X4,X5,X1)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480259,c_570690]) ).
tcf(c_570740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,X0,c63(X2,crossbar(X3,X0,X4,X5,X1,X6),X7))
| s_t(X0,X2,c63(X2,crossbar(X3,X0,X4,X5,X1,X6),X7))
| ~ s_t(X5,X1,X4)
| ~ s_t(X3,X6,X5)
| ~ s_t(X3,X0,X4)
| ~ sameside(X2,crossbar(X3,X0,X4,X5,X1,X6),X7)
| ~ s_t(X0,X1,c63(X2,crossbar(X3,X0,X4,X5,X1,X6),X7)) ),
inference(superposition,[status(thm)],[c_480318,c_570690]) ).
tcf(c_570741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X2,crossbar(X4,X0,X5,X7,X1,X6),c63(X2,X1,X3))
| s_t(crossbar(X4,X0,X5,X7,X1,X6),X2,c63(X2,X1,X3))
| ~ sameside(X2,X1,X3)
| ~ s_t(X7,X1,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480321,c_570690]) ).
tcf(c_570742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,X0,c63(X1,crossbar(X2,X0,X3,X4,X5,X6),X7))
| s_t(X0,X1,c63(X1,crossbar(X2,X0,X3,X4,X5,X6),X7))
| s_t(X0,c63(X1,crossbar(X2,X0,X3,X4,X5,X6),X7),crossbar(X2,X0,X3,X4,X5,X6))
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X0,X3)
| ~ sameside(X1,crossbar(X2,X0,X3,X4,X5,X6),X7)
| ~ s_t(X0,c63(X1,crossbar(X2,X0,X3,X4,X5,X6),X7),X5) ),
inference(superposition,[status(thm)],[c_480707,c_570690]) ).
tcf(c_570743,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,s(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2)),c63(X0,X1,X2))
| s_t(s(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2)),X0,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517647,c_570690]) ).
tcf(c_570744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ext(c63(X0,X1,X2),s(X1,c63(X0,X1,X2)),X3,X4),c63(X0,X1,X2))
| s_t(ext(c63(X0,X1,X2),s(X1,c63(X0,X1,X2)),X3,X4),X0,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523173,c_570690]) ).
tcf(c_570745,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,s(s(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2)),c63(X0,X1,X2)),c63(X0,X1,X2))
| s_t(s(s(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2)),c63(X0,X1,X2)),X0,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529313,c_570690]) ).
tcf(c_570746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,s(X1,ext(X1,c63(X0,X1,X2),X3,X4)),c63(X0,X1,X2))
| s_t(s(X1,ext(X1,c63(X0,X1,X2),X3,X4)),X0,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548076,c_570690]) ).
tcf(c_570747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,s(ext(c63(X0,X1,X2),X1,X3,X4),c63(X0,X1,X2)),c63(X0,X1,X2))
| s_t(s(ext(c63(X0,X1,X2),X1,X3,X4),c63(X0,X1,X2)),X0,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499667,c_570690]) ).
tcf(c_570772,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X0,c63(X0,X1,X2))
| s_t(X1,c63(X0,X1,X2),X1)
| s_t(X0,X1,c63(X0,X1,X2))
| ( X1 = X2 )
| ~ sameside(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_570734,c_72]) ).
tcf(c_570778,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X0,c63(X0,X1,X2))
| s_t(X1,c63(X0,X1,X2),X1)
| s_t(X0,X1,c63(X0,X1,X2))
| ( X0 = X1 )
| ~ sameside(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_570732,c_72]) ).
tcf(c_570784,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,c63(X0,X1,X2))
| s_t(X2,c63(X0,X1,X2),X1)
| s_t(X0,X2,c63(X0,X1,X2))
| ( X1 = X2 )
| ~ sameside(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_570729,c_72]) ).
tcf(c_571066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X0,c63(X2,X1,X3))
| s_t(X0,X3,c63(X2,X1,X3))
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_481811,c_128]) ).
tcf(c_571079,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,c63(X0,X1,X2))
| s_t(X1,X2,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_74,c_571066]) ).
tcf(c_571081,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X2,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_130,c_571066]) ).
tcf(c_571082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,ext(c63(X0,X1,X2),X1,X3,X4),c63(X0,X1,X2))
| s_t(ext(c63(X0,X1,X2),X1,X3,X4),X2,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480073,c_571066]) ).
tcf(c_571083,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,s(X1,c63(X0,X1,X2)),c63(X0,X1,X2))
| s_t(s(X1,c63(X0,X1,X2)),X2,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485941,c_571066]) ).
tcf(c_571084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,c63(c63(X0,X1,X2),X1,X3),c63(X0,X1,X2))
| s_t(c63(c63(X0,X1,X2),X1,X3),X2,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2)
| ~ sameside(c63(X0,X1,X2),X1,X3) ),
inference(superposition,[status(thm)],[c_481095,c_571066]) ).
tcf(c_571085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,c63(X0,X1,c63(X2,X1,X3)),c63(X2,X1,X3))
| s_t(c63(X0,X1,c63(X2,X1,X3)),X3,c63(X2,X1,X3))
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481156,c_571066]) ).
tcf(c_571086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ext(X3,X0,X4,X5),c63(X1,X0,X2))
| s_t(ext(X3,X0,X4,X5),X2,c63(X1,X0,X2))
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_481348,c_571066]) ).
tcf(c_571087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ext(c63(X2,X1,X3),X0,X4,X5),c63(X2,X1,X3))
| s_t(ext(c63(X2,X1,X3),X0,X4,X5),X3,c63(X2,X1,X3))
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481345,c_571066]) ).
tcf(c_571088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,s(X0,c63(X2,X1,X3)),c63(X2,X1,X3))
| s_t(s(X0,c63(X2,X1,X3)),X3,c63(X2,X1,X3))
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_486090,c_571066]) ).
tcf(c_571089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,c63(X2,ins(X3,X4,X0,X1),X5))
| s_t(X0,X5,c63(X2,ins(X3,X4,X0,X1),X5))
| s_t(X0,c63(X2,ins(X3,X4,X0,X1),X5),ins(X3,X4,X0,X1))
| ( X0 = X1 )
| ~ le(X0,X1,X3,X4)
| ~ sameside(X2,ins(X3,X4,X0,X1),X5)
| ~ s_t(X0,X1,c63(X2,ins(X3,X4,X0,X1),X5)) ),
inference(superposition,[status(thm)],[c_480739,c_571066]) ).
tcf(c_571090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X1,c63(X2,ins(X3,X4,X0,X1),X5))
| s_t(X1,X5,c63(X2,ins(X3,X4,X0,X1),X5))
| s_t(X1,c63(X2,ins(X3,X4,X0,X1),X5),ins(X3,X4,X0,X1))
| ( X0 = X1 )
| ~ le(X0,X1,X3,X4)
| ~ sameside(X2,ins(X3,X4,X0,X1),X5)
| ~ s_t(X0,X1,c63(X2,ins(X3,X4,X0,X1),X5)) ),
inference(superposition,[status(thm)],[c_480738,c_571066]) ).
tcf(c_571091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,ins(X3,X4,c63(X0,X1,X2),X1),c63(X0,X1,X2))
| s_t(ins(X3,X4,c63(X0,X1,X2),X1),X2,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2)
| ~ le(c63(X0,X1,X2),X1,X3,X4) ),
inference(superposition,[status(thm)],[c_480747,c_571066]) ).
tcf(c_571092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ext(X1,X0,X4,X5),c63(X2,X1,X3))
| s_t(ext(X1,X0,X4,X5),X3,c63(X2,X1,X3))
| ( X0 = X1 )
| ~ sameside(X2,X1,X3)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_481346,c_571066]) ).
tcf(c_571093,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,s(X1,s(c63(X0,X1,X2),X1)),c63(X0,X1,X2))
| s_t(s(X1,s(c63(X0,X1,X2),X1)),X2,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553551,c_571066]) ).
tcf(c_571094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ext(X1,X0,X4,X5),c63(X2,X0,X3))
| s_t(ext(X1,X0,X4,X5),X3,c63(X2,X0,X3))
| ( X0 = X1 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481343,c_571066]) ).
tcf(c_571095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X0,c63(X1,ip(X2,X0,X3,X4,X5),X6))
| s_t(X0,X6,c63(X1,ip(X2,X0,X3,X4,X5),X6))
| s_t(X0,c63(X1,ip(X2,X0,X3,X4,X5),X6),ip(X2,X0,X3,X4,X5))
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X0,X3)
| ~ sameside(X1,ip(X2,X0,X3,X4,X5),X6)
| ~ s_t(X0,c63(X1,ip(X2,X0,X3,X4,X5),X6),X4) ),
inference(superposition,[status(thm)],[c_480702,c_571066]) ).
tcf(c_571096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X0,c63(X2,ip(X3,X0,X4,X1,X5),X6))
| s_t(X0,X6,c63(X2,ip(X3,X0,X4,X1,X5),X6))
| ~ s_t(X3,X0,X4)
| ~ s_t(X1,X5,X4)
| ~ sameside(X2,ip(X3,X0,X4,X1,X5),X6)
| ~ s_t(X0,X1,c63(X2,ip(X3,X0,X4,X1,X5),X6)) ),
inference(superposition,[status(thm)],[c_480205,c_571066]) ).
tcf(c_571097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ip(X4,X0,X5,X1,X6),c63(X2,X1,X3))
| s_t(ip(X4,X0,X5,X1,X6),X3,c63(X2,X1,X3))
| ~ sameside(X2,X1,X3)
| ~ s_t(X4,X0,X5)
| ~ s_t(X1,X6,X5)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480135,c_571066]) ).
tcf(c_571098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X0,c63(X1,ip(X2,X3,X4,X5,X0),X6))
| s_t(X0,X6,c63(X1,ip(X2,X3,X4,X5,X0),X6))
| s_t(X0,c63(X1,ip(X2,X3,X4,X5,X0),X6),ip(X2,X3,X4,X5,X0))
| ~ s_t(X5,X0,X4)
| ~ s_t(X2,X3,X4)
| ~ sameside(X1,ip(X2,X3,X4,X5,X0),X6)
| ~ s_t(X0,c63(X1,ip(X2,X3,X4,X5,X0),X6),X2) ),
inference(superposition,[status(thm)],[c_480703,c_571066]) ).
tcf(c_571099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,X0,c63(X2,ip(X1,X3,X4,X5,X0),X6))
| s_t(X0,X6,c63(X2,ip(X1,X3,X4,X5,X0),X6))
| ~ s_t(X5,X0,X4)
| ~ s_t(X1,X3,X4)
| ~ sameside(X2,ip(X1,X3,X4,X5,X0),X6)
| ~ s_t(X0,X1,c63(X2,ip(X1,X3,X4,X5,X0),X6)) ),
inference(superposition,[status(thm)],[c_480206,c_571066]) ).
tcf(c_571100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X3,ip(X1,X4,X5,X6,X0),c63(X2,X1,X3))
| s_t(ip(X1,X4,X5,X6,X0),X3,c63(X2,X1,X3))
| ~ sameside(X2,X1,X3)
| ~ s_t(X6,X0,X5)
| ~ s_t(X1,X4,X5)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480136,c_571066]) ).
tcf(c_571101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,c63(X2,ext(X0,X1,X3,X4),X5))
| s_t(X0,X5,c63(X2,ext(X0,X1,X3,X4),X5))
| s_t(X0,c63(X2,ext(X0,X1,X3,X4),X5),ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ~ sameside(X2,ext(X0,X1,X3,X4),X5)
| ~ s_t(X0,X1,c63(X2,ext(X0,X1,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_480599,c_571066]) ).
tcf(c_571102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,c63(X2,c63(X0,X1,X3),X4))
| s_t(X0,X4,c63(X2,c63(X0,X1,X3),X4))
| s_t(X0,c63(X2,c63(X0,X1,X3),X4),c63(X0,X1,X3))
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ sameside(X2,c63(X0,X1,X3),X4)
| ~ s_t(X0,X1,c63(X2,c63(X0,X1,X3),X4)) ),
inference(superposition,[status(thm)],[c_481087,c_571066]) ).
tcf(c_571103,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,c63(X0,X1,X2))
| s_t(X0,X2,c63(X0,X1,X2))
| s_t(X0,c63(X0,X1,X2),X1)
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481087,c_571066]) ).
tcf(c_571104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,c63(X2,c63(X3,X1,X0),X4))
| s_t(X0,X4,c63(X2,c63(X3,X1,X0),X4))
| s_t(X0,c63(X2,c63(X3,X1,X0),X4),c63(X3,X1,X0))
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ sameside(X2,c63(X3,X1,X0),X4)
| ~ s_t(X0,X1,c63(X2,c63(X3,X1,X0),X4)) ),
inference(superposition,[status(thm)],[c_481148,c_571066]) ).
tcf(c_571105,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X0,c63(X2,X1,X0))
| s_t(X0,c63(X2,X1,X0),X1)
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481148,c_571066]) ).
tcf(c_571106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X1,c63(X2,ext(X0,X1,X3,X4),X5))
| s_t(X1,X5,c63(X2,ext(X0,X1,X3,X4),X5))
| s_t(X1,c63(X2,ext(X0,X1,X3,X4),X5),ext(X0,X1,X3,X4))
| ( X0 = X1 )
| ~ sameside(X2,ext(X0,X1,X3,X4),X5)
| ~ s_t(X0,X1,c63(X2,ext(X0,X1,X3,X4),X5)) ),
inference(superposition,[status(thm)],[c_480646,c_571066]) ).
tcf(c_571107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,c63(X2,c63(X0,X1,X3),X4))
| s_t(X1,X4,c63(X2,c63(X0,X1,X3),X4))
| s_t(X1,c63(X2,c63(X0,X1,X3),X4),c63(X0,X1,X3))
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ sameside(X2,c63(X0,X1,X3),X4)
| ~ s_t(X0,X1,c63(X2,c63(X0,X1,X3),X4)) ),
inference(superposition,[status(thm)],[c_481086,c_571066]) ).
tcf(c_571108,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,c63(X0,X1,X2))
| s_t(X1,X2,c63(X0,X1,X2))
| s_t(X1,c63(X0,X1,X2),X1)
| ( X0 = X1 )
| ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481086,c_571066]) ).
tcf(c_571109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,c63(X2,c63(X3,X1,X0),X4))
| s_t(X1,X4,c63(X2,c63(X3,X1,X0),X4))
| s_t(X1,c63(X2,c63(X3,X1,X0),X4),c63(X3,X1,X0))
| ( X0 = X1 )
| ~ sameside(X3,X1,X0)
| ~ sameside(X2,c63(X3,X1,X0),X4)
| ~ s_t(X0,X1,c63(X2,c63(X3,X1,X0),X4)) ),
inference(superposition,[status(thm)],[c_481147,c_571066]) ).
tcf(c_571110,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X0,c63(X2,X1,X0))
| s_t(X1,c63(X2,X1,X0),X1)
| s_t(X0,X1,c63(X2,X1,X0))
| ( X0 = X1 )
| ~ sameside(X2,X1,X0)
| ~ s_t(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_481147,c_571066]) ).
tcf(c_571111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X2,c63(X0,X1,X2))
| s_t(X2,X3,c63(X0,X1,X2))
| ( X1 = X3 )
| ( X1 = X2 )
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_534516,c_571066]) ).
tcf(c_571112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X2,c63(X0,X1,X2))
| s_t(X2,X3,c63(X0,X1,X2))
| ( X1 = X3 )
| ( X0 = X1 )
| ~ sameside(X0,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_528230,c_571066]) ).
tcf(c_571113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,X0,c63(X1,crossbar(X2,X3,X4,X5,X6,X0),X7))
| s_t(X0,X7,c63(X1,crossbar(X2,X3,X4,X5,X6,X0),X7))
| s_t(X0,c63(X1,crossbar(X2,X3,X4,X5,X6,X0),X7),crossbar(X2,X3,X4,X5,X6,X0))
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_t(X2,X0,X5)
| ~ sameside(X1,crossbar(X2,X3,X4,X5,X6,X0),X7)
| ~ s_t(X0,c63(X1,crossbar(X2,X3,X4,X5,X6,X0),X7),X4) ),
inference(superposition,[status(thm)],[c_480706,c_571066]) ).
tcf(c_571114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,X0,c63(X2,crossbar(X3,X4,X1,X5,X6,X0),X7))
| s_t(X0,X7,c63(X2,crossbar(X3,X4,X1,X5,X6,X0),X7))
| ~ s_t(X5,X6,X1)
| ~ s_t(X3,X4,X1)
| ~ s_t(X3,X0,X5)
| ~ sameside(X2,crossbar(X3,X4,X1,X5,X6,X0),X7)
| ~ s_t(X0,X1,c63(X2,crossbar(X3,X4,X1,X5,X6,X0),X7)) ),
inference(superposition,[status(thm)],[c_480256,c_571066]) ).
tcf(c_571115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,crossbar(X4,X5,X1,X6,X7,X0),c63(X2,X1,X3))
| s_t(crossbar(X4,X5,X1,X6,X7,X0),X3,c63(X2,X1,X3))
| ~ sameside(X2,X1,X3)
| ~ s_t(X6,X7,X1)
| ~ s_t(X4,X5,X1)
| ~ s_t(X4,X0,X6)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480259,c_571066]) ).
tcf(c_571116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,X0,c63(X2,crossbar(X3,X0,X4,X5,X1,X6),X7))
| s_t(X0,X7,c63(X2,crossbar(X3,X0,X4,X5,X1,X6),X7))
| ~ s_t(X5,X1,X4)
| ~ s_t(X3,X6,X5)
| ~ s_t(X3,X0,X4)
| ~ sameside(X2,crossbar(X3,X0,X4,X5,X1,X6),X7)
| ~ s_t(X0,X1,c63(X2,crossbar(X3,X0,X4,X5,X1,X6),X7)) ),
inference(superposition,[status(thm)],[c_480318,c_571066]) ).
tcf(c_571117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,crossbar(X4,X0,X5,X7,X1,X6),c63(X2,X1,X3))
| s_t(crossbar(X4,X0,X5,X7,X1,X6),X3,c63(X2,X1,X3))
| ~ sameside(X2,X1,X3)
| ~ s_t(X7,X1,X5)
| ~ s_t(X4,X6,X7)
| ~ s_t(X4,X0,X5)
| ~ s_t(X0,X1,c63(X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_480321,c_571066]) ).
tcf(c_571118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,X0,c63(X1,crossbar(X2,X0,X3,X4,X5,X6),X7))
| s_t(X0,X7,c63(X1,crossbar(X2,X0,X3,X4,X5,X6),X7))
| s_t(X0,c63(X1,crossbar(X2,X0,X3,X4,X5,X6),X7),crossbar(X2,X0,X3,X4,X5,X6))
| ~ s_t(X4,X5,X3)
| ~ s_t(X2,X6,X4)
| ~ s_t(X2,X0,X3)
| ~ sameside(X1,crossbar(X2,X0,X3,X4,X5,X6),X7)
| ~ s_t(X0,c63(X1,crossbar(X2,X0,X3,X4,X5,X6),X7),X5) ),
inference(superposition,[status(thm)],[c_480707,c_571066]) ).
tcf(c_571119,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,s(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2)),c63(X0,X1,X2))
| s_t(s(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2)),X2,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517647,c_571066]) ).
tcf(c_571120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,ext(c63(X0,X1,X2),s(X1,c63(X0,X1,X2)),X3,X4),c63(X0,X1,X2))
| s_t(ext(c63(X0,X1,X2),s(X1,c63(X0,X1,X2)),X3,X4),X2,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523173,c_571066]) ).
tcf(c_571121,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,s(s(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2)),c63(X0,X1,X2)),c63(X0,X1,X2))
| s_t(s(s(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2)),c63(X0,X1,X2)),X2,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529313,c_571066]) ).
tcf(c_571122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,s(X1,ext(X1,c63(X0,X1,X2),X3,X4)),c63(X0,X1,X2))
| s_t(s(X1,ext(X1,c63(X0,X1,X2),X3,X4)),X2,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548076,c_571066]) ).
tcf(c_571123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,s(ext(c63(X0,X1,X2),X1,X3,X4),c63(X0,X1,X2)),c63(X0,X1,X2))
| s_t(s(ext(c63(X0,X1,X2),X1,X3,X4),c63(X0,X1,X2)),X2,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499667,c_571066]) ).
tcf(c_571148,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,c63(X0,X1,X2))
| s_t(X1,X2,c63(X0,X1,X2))
| s_t(X1,c63(X0,X1,X2),X1)
| ( X1 = X2 )
| ~ sameside(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_571110,c_72]) ).
tcf(c_571154,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,c63(X0,X1,X2))
| s_t(X1,X2,c63(X0,X1,X2))
| s_t(X1,c63(X0,X1,X2),X1)
| ( X0 = X1 )
| ~ sameside(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_571108,c_72]) ).
tcf(c_571160,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,c63(X0,X1,X2))
| s_t(X0,X2,c63(X0,X1,X2))
| s_t(X0,c63(X0,X1,X2),X1)
| ( X0 = X1 )
| ~ sameside(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_571103,c_72]) ).
tcf(c_571438,plain,
! [X0: $i,X1: $i] : s_t(X0,s(X0,X1),s(s(X0,X1),s(X1,s(X0,X1)))),
inference(superposition,[status(thm)],[c_161,c_553562]) ).
tcf(c_571440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(X2,X1,s(X1,s(s(X2,X1),X1)),X0,X1,X3) = X1 )
| ~ s_t(X2,X3,X0)
| ~ s_t(X0,X1,s(X1,s(s(X2,X1),X1))) ),
inference(superposition,[status(thm)],[c_553562,c_480316]) ).
tcf(c_571441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(X0,X1,s(X1,s(s(X0,X1),X1)),X2,X3,s(X1,s(s(X0,X1),X1))) = s(X1,s(s(X0,X1),X1)) )
| ~ s_t(X2,X3,s(X1,s(s(X0,X1),X1)))
| ~ s_t(X0,s(X1,s(s(X0,X1),X1)),X2) ),
inference(superposition,[status(thm)],[c_553562,c_480254]) ).
tcf(c_571442,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X1,s(X1,s(s(X0,X1),X1))) = s(X1,s(s(X0,X1),X1)) ) ),
inference(superposition,[status(thm)],[c_553562,c_480013]) ).
tcf(c_571443,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,s(X1,s(s(X0,X1),X1)),X1) = s(X1,s(s(X0,X1),X1)) ) ),
inference(superposition,[status(thm)],[c_553562,c_480011]) ).
tcf(c_571444,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(X1,X2,s(X2,s(s(X1,X2),X2)),X0,X1) = X1 )
| ~ s_t(X0,X1,s(X2,s(s(X1,X2),X2))) ),
inference(superposition,[status(thm)],[c_553562,c_479924]) ).
tcf(c_571445,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(X2,X0,s(X0,s(s(X2,X0),X0)),X0,X1) = X0 )
| ~ s_t(X0,X1,s(X0,s(s(X2,X0),X0))) ),
inference(superposition,[status(thm)],[c_553562,c_479914]) ).
tcf(c_571446,plain,
! [X0: $i,X1: $i] :
( sameside(s(X0,s(s(X1,X0),X0)),X1,X0)
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X1 ) ),
inference(superposition,[status(thm)],[c_553562,c_238]) ).
tcf(c_571447,plain,
! [X0: $i,X1: $i] :
( sameside(X1,X0,s(X1,s(s(X0,X1),X1)))
| ( X0 = xb )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_553562,c_237]) ).
tcf(c_571448,plain,
! [X0: $i,X1: $i] : s_col(X0,s(X0,s(s(X1,X0),X0)),X1),
inference(superposition,[status(thm)],[c_553562,c_225]) ).
tcf(c_571449,plain,
! [X0: $i,X1: $i] : s_col(s(X0,s(s(X1,X0),X0)),X1,X0),
inference(superposition,[status(thm)],[c_553562,c_224]) ).
tcf(c_571450,plain,
! [X0: $i,X1: $i] : s_col(X0,X1,s(X1,s(s(X0,X1),X1))),
inference(superposition,[status(thm)],[c_553562,c_223]) ).
tcf(c_571451,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ s_r(X1,X2,X0)
| ~ s_r(s(X0,s(s(X1,X0),X0)),X2,X0) ),
inference(superposition,[status(thm)],[c_553562,c_184]) ).
tcf(c_571452,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,s(X1,s(s(X2,X1),X1)))
| s_t(X0,X2,s(X1,s(s(X2,X1),X1)))
| ( s(X1,s(s(X2,X1),X1)) = X1 )
| ~ s_t(X0,X1,s(X1,s(s(X2,X1),X1))) ),
inference(superposition,[status(thm)],[c_553562,c_147]) ).
tcf(c_571453,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X1 = X2 )
| ( s(X1,s(s(X2,X1),X1)) = X1 )
| ~ sameside(X0,X1,s(X1,s(s(X2,X1),X1))) ),
inference(superposition,[status(thm)],[c_553562,c_145]) ).
tcf(c_571454,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,s(X1,s(s(X2,X1),X1)))
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(X1,s(s(X2,X1),X1)) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_143]) ).
tcf(c_571455,plain,
! [X0: $i,X1: $i] : ~ sameside(X0,X1,s(X1,s(s(X0,X1),X1))),
inference(superposition,[status(thm)],[c_553562,c_133]) ).
tcf(c_571456,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(X1,s(s(X2,X1),X1)) = X1 )
| ~ s_t(X0,X1,s(X1,s(s(X2,X1),X1))) ),
inference(superposition,[status(thm)],[c_553562,c_131]) ).
tcf(c_571457,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,s(X1,s(s(X0,X1),X1)))
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(X1,s(s(X0,X1),X1)) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_125]) ).
tcf(c_571458,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,X1)
| s_t(X0,X1,X2)
| ~ s_t(X0,X1,s(X2,s(s(X0,X2),X2))) ),
inference(superposition,[status(thm)],[c_553562,c_109]) ).
tcf(c_571459,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X2,s(X1,s(s(X0,X1),X1)))
| s_t(X1,s(X1,s(s(X0,X1),X1)),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_108]) ).
tcf(c_571460,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,s(X1,s(s(X0,X1),X1)))
| s_t(X0,s(X1,s(s(X0,X1),X1)),X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_107]) ).
tcf(c_571461,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X0,X2)
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_t(X0,s(X0,s(s(X1,X0),X0)),X2) ),
inference(superposition,[status(thm)],[c_553562,c_81]) ).
tcf(c_571462,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,X2)
| ~ s_t(X0,s(X1,s(s(X0,X1),X1)),X2) ),
inference(superposition,[status(thm)],[c_553562,c_80]) ).
tcf(c_571463,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,s(X0,s(s(X2,X0),X0)))
| ~ s_t(X0,X1,s(X0,s(s(X2,X0),X0))) ),
inference(superposition,[status(thm)],[c_553562,c_79]) ).
tcf(c_571464,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,s(X0,s(s(X1,X0),X0)),X2)
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_t(X0,s(X0,s(s(X1,X0),X0)),X2) ),
inference(superposition,[status(thm)],[c_553562,c_78]) ).
tcf(c_571465,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,s(X1,s(s(X0,X1),X1)),X2)
| ~ s_t(X0,s(X1,s(s(X0,X1),X1)),X2) ),
inference(superposition,[status(thm)],[c_553562,c_77]) ).
tcf(c_571466,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,X1)
| ~ s_t(X0,X1,s(X0,s(s(X2,X0),X0))) ),
inference(superposition,[status(thm)],[c_553562,c_76]) ).
tcf(c_571467,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ s_t(X0,X1,s(X0,s(s(X1,X0),X0))) ),
inference(superposition,[status(thm)],[c_553562,c_75]) ).
tcf(c_571468,plain,
! [X0: $i,X1: $i] : s_t(s(X0,s(s(X1,X0),X0)),X0,X1),
inference(superposition,[status(thm)],[c_553562,c_73]) ).
tcf(c_571470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,s(ext(X0,X1,X2,X3),s(s(X0,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3)))),
inference(superposition,[status(thm)],[c_553562,c_480204]) ).
tcf(c_571471,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,ext(X1,X0,X2,X3),s(ext(X1,X0,X2,X3),s(s(X1,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3)))),
inference(superposition,[status(thm)],[c_553562,c_480134]) ).
tcf(c_571472,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,c63(X0,X1,X2),s(c63(X0,X1,X2),s(s(X0,c63(X0,X1,X2)),c63(X0,X1,X2))))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_481092]) ).
tcf(c_571473,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,s(c63(X0,X1,X2),s(s(X0,c63(X0,X1,X2)),c63(X0,X1,X2))))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_481089]) ).
tcf(c_571474,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,c63(X0,X1,X2),s(c63(X0,X1,X2),s(s(X2,c63(X0,X1,X2)),c63(X0,X1,X2))))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_481153]) ).
tcf(c_571475,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,s(c63(X0,X1,X2),s(s(X2,c63(X0,X1,X2)),c63(X0,X1,X2))))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_481150]) ).
tcf(c_571476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,s(X1,s(s(ext(X1,X0,X2,X3),X1),X1))),
inference(superposition,[status(thm)],[c_553562,c_481347]) ).
tcf(c_571477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(ext(X0,X1,X2,X3),X1,s(X0,s(s(ext(X0,X1,X2,X3),X0),X0))),
inference(superposition,[status(thm)],[c_553562,c_481344]) ).
tcf(c_571478,plain,
! [X0: $i,X1: $i] : s_t(X0,X1,s(s(X1,X0),s(s(X0,s(X1,X0)),s(X1,X0)))),
inference(superposition,[status(thm)],[c_553562,c_485960]) ).
tcf(c_571479,plain,
! [X0: $i,X1: $i] : s_t(X0,X1,s(X1,s(s(s(X0,X1),X1),X1))),
inference(superposition,[status(thm)],[c_553562,c_486092]) ).
tcf(c_571480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(X0,X1,X2,X3),X0,s(X1,s(s(ext(X0,X1,X2,X3),X1),X1)))
| s_t(ext(X0,X1,X2,X3),s(X1,s(s(ext(X0,X1,X2,X3),X1),X1)),X0)
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_553562,c_481342]) ).
tcf(c_571481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,s(X1,s(s(ext(X0,X1,X2,X3),X1),X1)))
| s_t(X1,s(X1,s(s(ext(X0,X1,X2,X3),X1),X1)),X0)
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_553562,c_481341]) ).
tcf(c_571482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,ins(X2,X3,X0,X1),s(ins(X2,X3,X0,X1),s(s(X0,ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1))))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_553562,c_480744]) ).
tcf(c_571483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,s(ins(X2,X3,X0,X1),s(s(X0,ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1))))
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_553562,c_480741]) ).
tcf(c_571484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,s(ext(X0,X1,X2,X3),s(s(X1,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3))))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_553562,c_480227]) ).
tcf(c_571485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ext(X0,X1,X2,X3),s(ext(X0,X1,X2,X3),s(s(X1,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3))))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_553562,c_480157]) ).
tcf(c_571486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ins(X2,X3,X0,X1),s(ins(X2,X3,X0,X1),s(s(X1,ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1))))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_553562,c_480743]) ).
tcf(c_571487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,s(ins(X2,X3,X0,X1),s(s(X1,ins(X2,X3,X0,X1)),ins(X2,X3,X0,X1))))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_553562,c_480740]) ).
tcf(c_571488,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,c63(X0,X1,X2),s(c63(X0,X1,X2),s(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2))))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_539198]) ).
tcf(c_571489,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,s(c63(X0,X1,X2),s(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2))))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_538289]) ).
tcf(c_571490,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,c63(X0,X1,X2),s(c63(X0,X1,X2),s(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2))))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_532776]) ).
tcf(c_571491,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,s(c63(X0,X1,X2),s(s(X1,c63(X0,X1,X2)),c63(X0,X1,X2))))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_531999]) ).
tcf(c_571492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),s(X3,s(s(ip(X0,X1,X2,X3,X4),X3),X3)))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_480228]) ).
tcf(c_571493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,s(X3,s(s(ip(X0,X1,X2,X3,X4),X3),X3)))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_480158]) ).
tcf(c_571494,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),s(X0,s(s(ip(X0,X1,X2,X3,X4),X0),X0)))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_480229]) ).
tcf(c_571495,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,s(X0,s(s(ip(X0,X1,X2,X3,X4),X0),X0)))
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_480159]) ).
tcf(c_571496,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X3,s(ip(X0,X1,X2,X3,X4),s(s(X1,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4))))
| s_t(ip(X0,X1,X2,X3,X4),s(ip(X0,X1,X2,X3,X4),s(s(X1,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4))),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_480647]) ).
tcf(c_571497,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X3,s(ip(X0,X1,X2,X3,X4),s(s(X1,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4))))
| s_t(X1,s(ip(X0,X1,X2,X3,X4),s(s(X1,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4))),X3)
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_480600]) ).
tcf(c_571498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ip(X0,X1,X2,X3,X4),X0,s(ip(X0,X1,X2,X3,X4),s(s(X4,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4))))
| s_t(ip(X0,X1,X2,X3,X4),s(ip(X0,X1,X2,X3,X4),s(s(X4,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4))),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_480648]) ).
tcf(c_571499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X0,s(ip(X0,X1,X2,X3,X4),s(s(X4,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4))))
| s_t(X4,s(ip(X0,X1,X2,X3,X4),s(s(X4,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4))),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_480601]) ).
tcf(c_571500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(crossbar(X0,X3,X4,X2,X5,X1),X4,s(crossbar(X0,X3,X4,X2,X5,X1),s(s(X1,crossbar(X0,X3,X4,X2,X5,X1)),crossbar(X0,X3,X4,X2,X5,X1))))
| s_t(crossbar(X0,X3,X4,X2,X5,X1),s(crossbar(X0,X3,X4,X2,X5,X1),s(s(X1,crossbar(X0,X3,X4,X2,X5,X1)),crossbar(X0,X3,X4,X2,X5,X1))),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_480651]) ).
tcf(c_571501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X4,s(crossbar(X0,X3,X4,X2,X5,X1),s(s(X1,crossbar(X0,X3,X4,X2,X5,X1)),crossbar(X0,X3,X4,X2,X5,X1))))
| s_t(X1,s(crossbar(X0,X3,X4,X2,X5,X1),s(s(X1,crossbar(X0,X3,X4,X2,X5,X1)),crossbar(X0,X3,X4,X2,X5,X1))),X4)
| ( crossbar(X0,X3,X4,X2,X5,X1) = X1 )
| ~ s_t(X2,X5,X4)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_480604]) ).
tcf(c_571502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X2,s(X2,s(s(crossbar(X0,X1,X2,X4,X5,X3),X2),X2)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_480258]) ).
tcf(c_571503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,crossbar(X0,X1,X2,X4,X5,X3),s(X2,s(s(crossbar(X0,X1,X2,X4,X5,X3),X2),X2)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_480255]) ).
tcf(c_571504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(crossbar(X0,X1,X2,X4,X5,X3),X5,s(crossbar(X0,X1,X2,X4,X5,X3),s(s(X1,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3))))
| s_t(crossbar(X0,X1,X2,X4,X5,X3),s(crossbar(X0,X1,X2,X4,X5,X3),s(s(X1,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3))),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_480652]) ).
tcf(c_571505,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,s(crossbar(X0,X1,X2,X4,X5,X3),s(s(X1,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3))))
| s_t(X1,s(crossbar(X0,X1,X2,X4,X5,X3),s(s(X1,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3))),X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_480605]) ).
tcf(c_571506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,X5,s(X5,s(s(crossbar(X0,X1,X2,X4,X5,X3),X5),X5)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_480320]) ).
tcf(c_571507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,crossbar(X0,X1,X2,X4,X5,X3),s(X5,s(s(crossbar(X0,X1,X2,X4,X5,X3),X5),X5)))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553562,c_480317]) ).
tcf(c_571918,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0,X1),X1) = X0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_r(s(X0,X1),s(s(X0,X1),X1),X0) ),
inference(superposition,[status(thm)],[c_553989,c_187]) ).
tcf(c_571919,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X0,s(X0,X1),X2)
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_r(s(s(X0,X1),X1),s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_553989,c_181]) ).
tcf(c_571920,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X0 = X2 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X0)
| ~ s_col(s(X0,X1),s(s(X0,X1),X1),X3)
| ~ s_col(s(X0,X1),s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_553989,c_152]) ).
tcf(c_571921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X2,X3)
| ( X0 = X2 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(s(X0,X1),s(s(X0,X1),X1),X3)
| ~ s_col(s(X0,X1),s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_553989,c_151]) ).
tcf(c_571922,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X0,X2)
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(s(X0,X1),s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_553989,c_148]) ).
tcf(c_571923,plain,
! [X0: $i,X1: $i] :
( sameside(s(X0,X1),s(s(X0,X1),X1),X0)
| s_t(s(X0,X1),s(s(X0,X1),X1),X0) ),
inference(superposition,[status(thm)],[c_553989,c_134]) ).
tcf(c_571929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(s(X0,X1),s(s(X0,X1),X1),X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X0 = X2 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_r(X0,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(s(X0,X1),s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_553989,c_200]) ).
tcf(c_572025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,X2)
| s_t(X0,ext(X2,X1,X3,X3),X2)
| ( X1 = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_480032,c_481812]) ).
tcf(c_572033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(X0,X1,X2,X3),X0,X0)
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_481812,c_55]) ).
tcf(c_572034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X1,X2,X3,X4),X5,X1)
| ( X1 = X2 )
| ( crossbar(X5,ext(X1,X2,X3,X4),X1,X0,ext(X1,X2,X3,X4),X6) = ext(X1,X2,X3,X4) )
| ~ s_t(X5,X6,X0)
| ~ s_t(X5,X2,X1)
| ~ s_t(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_481812,c_480316]) ).
tcf(c_572035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X2,X1,X5,X6),X0,X2)
| ( X1 = X2 )
| ( crossbar(X0,ext(X2,X1,X5,X6),X2,X3,X4,X2) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_480254]) ).
tcf(c_572036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X2,X1,X3,X4),X0,X2)
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X0 )
| ( ext(X0,ext(X2,X1,X3,X4),ext(X2,X1,X3,X4),X2) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_480013]) ).
tcf(c_572037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X2,X1,X3,X4),X0,X2)
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X0 )
| ( ext(X0,ext(X2,X1,X3,X4),X2,ext(X2,X1,X3,X4)) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_480011]) ).
tcf(c_572038,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X2,X1,X4,X5),X0,X2)
| ( X1 = X2 )
| ( ip(X0,ext(X2,X1,X4,X5),X2,X3,X0) = X0 )
| ~ s_t(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_479924]) ).
tcf(c_572039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X5,X0)
| ( X0 = X1 )
| ( ip(X5,ext(X0,X1,X2,X3),X0,ext(X0,X1,X2,X3),X4) = ext(X0,X1,X2,X3) )
| ~ s_t(X5,X1,X0)
| ~ s_t(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_481812,c_479914]) ).
tcf(c_572040,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,X0,ext(X2,X1,X3,X4))
| s_t(ext(X2,X1,X3,X4),X0,X2)
| ( X1 = X2 )
| ( X0 = X2 )
| ( ext(X2,X1,X3,X4) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_238]) ).
tcf(c_572041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(ext(X2,X1,X3,X4),X0,X2)
| s_t(ext(X2,X1,X3,X4),X0,X2)
| ( X1 = X2 )
| ( X0 = xb )
| ( ext(X2,X1,X3,X4) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_237]) ).
tcf(c_572042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X2,X1,X3,X4),X2,X0)
| s_t(ext(X2,X1,X3,X4),X0,X2)
| ( X1 = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_225]) ).
tcf(c_572043,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X2,X0,ext(X2,X1,X3,X4))
| s_t(ext(X2,X1,X3,X4),X0,X2)
| ( X1 = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_224]) ).
tcf(c_572044,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X2,X1,X3,X4),X2)
| s_t(ext(X2,X1,X3,X4),X0,X2)
| ( X1 = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_223]) ).
tcf(c_572045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X2,X3,X4,X5),X0,X2)
| ( X2 = X3 )
| ( ext(X2,X3,X4,X5) = X1 )
| ~ s_t(X0,X3,X2)
| ~ s_r(X2,X1,ext(X2,X3,X4,X5))
| ~ s_r(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_481812,c_184]) ).
tcf(c_572046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,X1)
| s_t(X0,X5,X1)
| s_t(ext(X1,X2,X3,X4),X5,X1)
| ( X1 = X2 )
| ( ext(X1,X2,X3,X4) = X1 )
| ~ s_t(X5,X2,X1)
| ~ s_t(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_481812,c_147]) ).
tcf(c_572047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,ext(X1,X2,X3,X4),X5)
| s_t(ext(X1,X2,X3,X4),X5,X1)
| ( X1 = X2 )
| ( ext(X1,X2,X3,X4) = X5 )
| ( ext(X1,X2,X3,X4) = X1 )
| ~ s_t(X5,X2,X1)
| ~ sameside(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_481812,c_145]) ).
tcf(c_572048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,ext(X1,X2,X3,X4),X5)
| sameside(X0,ext(X1,X2,X3,X4),X1)
| s_t(ext(X1,X2,X3,X4),X5,X1)
| ( X1 = X2 )
| ( ext(X1,X2,X3,X4) = X5 )
| ( ext(X1,X2,X3,X4) = X1 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X5,X2,X1)
| ~ s_col(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_481812,c_143]) ).
tcf(c_572049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X1,X2,X3,X4),X0,X1)
| ( X1 = X2 )
| ~ s_t(X0,X2,X1)
| ~ sameside(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_481812,c_133]) ).
tcf(c_572050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X5,ext(X1,X2,X3,X4),X0)
| s_t(ext(X1,X2,X3,X4),X5,X1)
| ( X1 = X2 )
| ( ext(X1,X2,X3,X4) = X5 )
| ( ext(X1,X2,X3,X4) = X1 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X5,X2,X1)
| ~ s_t(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_481812,c_131]) ).
tcf(c_572051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ext(X1,X2,X3,X4),X1)
| s_t(ext(X1,X2,X3,X4),X0,X1)
| ( X1 = X2 )
| ( ext(X1,X2,X3,X4) = X5 )
| ( ext(X1,X2,X3,X4) = X1 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X0,X2,X1)
| ~ sameside(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_481812,c_125]) ).
tcf(c_572052,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X3,ext(X2,X1,X4,X5))
| s_t(X0,ext(X2,X1,X4,X5),X3)
| s_t(ext(X2,X1,X4,X5),X0,X2)
| ( X1 = X2 )
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_109]) ).
tcf(c_572053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X1,X2,X3,X4),X5,X1)
| s_t(ext(X1,X2,X3,X4),X1,X5)
| s_t(ext(X1,X2,X3,X4),X0,X1)
| ( X1 = X2 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X0,X2,X1)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_481812,c_108]) ).
tcf(c_572054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X5,X1)
| s_t(X0,X1,X5)
| s_t(ext(X1,X2,X3,X4),X0,X1)
| ( X1 = X2 )
| ( ext(X1,X2,X3,X4) = X0 )
| ~ s_t(X0,X2,X1)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5) ),
inference(superposition,[status(thm)],[c_481812,c_107]) ).
tcf(c_572055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ext(X0,X1,X2,X3),X4)
| s_t(ext(X0,X1,X2,X3),X5,X0)
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_t(X5,X1,X0)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_481812,c_81]) ).
tcf(c_572056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(X2,X1,X4,X5),X3)
| s_t(ext(X2,X1,X4,X5),X0,X2)
| ( X1 = X2 )
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_80]) ).
tcf(c_572057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X4,X0)
| s_t(ext(X0,X1,X2,X3),X5,X0)
| ( X0 = X1 )
| ~ s_t(X5,X1,X0)
| ~ s_t(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_481812,c_79]) ).
tcf(c_572058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,X4)
| s_t(ext(X0,X1,X2,X3),X5,X0)
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_t(X5,X1,X0)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_481812,c_78]) ).
tcf(c_572059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X2,X1,X4,X5),X2,X3)
| s_t(ext(X2,X1,X4,X5),X0,X2)
| ( X1 = X2 )
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_77]) ).
tcf(c_572060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ext(X0,X1,X2,X3),X4)
| s_t(ext(X0,X1,X2,X3),X5,X0)
| ( X0 = X1 )
| ~ s_t(X5,X1,X0)
| ~ s_t(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_481812,c_76]) ).
tcf(c_572062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,ext(X2,X1,X3,X4),X0)
| s_t(ext(X2,X1,X3,X4),X0,X2)
| ( X1 = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_73]) ).
tcf(c_572063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(X1,X0,X2,X3),X0,X1)
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_481812,c_481349]) ).
tcf(c_572064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X0,ext(ext(X2,X0,X3,X4),X1,X5,X6),X3,X4)
| s_t(ext(ext(X2,X0,X3,X4),X1,X5,X6),X0,ext(X2,X0,X3,X4))
| ( ext(X2,X0,X3,X4) = X1 )
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481812,c_480890]) ).
tcf(c_572065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(ext(X2,X0,X3,X4),X1,X5,X6),X0,ext(X2,X0,X3,X4))
| s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,X0,ext(ext(X2,X0,X3,X4),X1,X5,X6)),X4)
| ( ext(X2,X0,X3,X4) = X1 )
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481812,c_480407]) ).
tcf(c_572066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(ext(X2,X0,X3,X4),X1,X5,X6),ext(X2,X0,X3,X4))
| s_t(ext(ext(X2,X0,X3,X4),X1,X5,X6),X0,ext(X2,X0,X3,X4))
| ( ext(X2,X0,X3,X4) = X1 )
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481812,c_480181]) ).
tcf(c_572067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X0,ext(ext(X2,X0,X3,X4),X1,X5,X6))
| s_t(ext(ext(X2,X0,X3,X4),X1,X5,X6),X0,ext(X2,X0,X3,X4))
| ( ext(X2,X0,X3,X4) = X1 )
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481812,c_480111]) ).
tcf(c_572068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,X0,ext(c63(X2,X0,X3),X1,X4,X5))
| s_t(ext(c63(X2,X0,X3),X1,X4,X5),X0,c63(X2,X0,X3))
| ( c63(X2,X0,X3) = X1 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481812,c_481154]) ).
tcf(c_572069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ext(c63(X2,X0,X3),X1,X4,X5),c63(X2,X0,X3))
| s_t(ext(c63(X2,X0,X3),X1,X4,X5),X0,c63(X2,X0,X3))
| ( c63(X2,X0,X3) = X1 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481812,c_481151]) ).
tcf(c_572070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,X0,ext(c63(X2,X0,X3),X1,X4,X5))
| s_t(ext(c63(X2,X0,X3),X1,X4,X5),X0,c63(X2,X0,X3))
| ( c63(X2,X0,X3) = X1 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481812,c_481093]) ).
tcf(c_572071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ext(c63(X2,X0,X3),X1,X4,X5),c63(X2,X0,X3))
| s_t(ext(c63(X2,X0,X3),X1,X4,X5),X0,c63(X2,X0,X3))
| ( c63(X2,X0,X3) = X1 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481812,c_481090]) ).
tcf(c_572072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,ext(s(X0,X2),X1,X3,X4))
| s_t(ext(s(X0,X2),X1,X3,X4),X0,s(X0,X2))
| ( s(X0,X2) = X1 )
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_481812,c_485964]) ).
tcf(c_572075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ext(X0,X1,X2,X3),X0)
| s_t(ext(X0,X1,X2,X3),ext(ext(X0,X1,X2,X3),X4,X5,X6),X0)
| ( X0 = X1 )
| ~ s_t(ext(ext(X0,X1,X2,X3),X4,X5,X6),X1,X0) ),
inference(superposition,[status(thm)],[c_481812,c_481347]) ).
tcf(c_572076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(ext(X0,X1,X2,X3),X4,X5,X6),X4,X0)
| s_t(ext(X0,X1,X2,X3),ext(ext(X0,X1,X2,X3),X4,X5,X6),X0)
| ( X0 = X1 )
| ~ s_t(ext(ext(X0,X1,X2,X3),X4,X5,X6),X1,X0) ),
inference(superposition,[status(thm)],[c_481812,c_481344]) ).
tcf(c_572077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ext(X1,X2,X3,X4),X1)
| s_t(ext(X1,X2,X3,X4),s(X0,ext(X1,X2,X3,X4)),X1)
| ( X1 = X2 )
| ~ s_t(s(X0,ext(X1,X2,X3,X4)),X2,X1) ),
inference(superposition,[status(thm)],[c_481812,c_486092]) ).
tcf(c_572078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X0,ext(X1,X2,X3,X4),X5,X6),X1,X0)
| s_t(ext(X0,ext(X1,X2,X3,X4),X5,X6),X0,X1)
| s_t(ext(X1,X2,X3,X4),ext(X0,ext(X1,X2,X3,X4),X5,X6),X1)
| ( X1 = X2 )
| ( ext(X0,ext(X1,X2,X3,X4),X5,X6) = ext(X1,X2,X3,X4) )
| ~ s_t(ext(X0,ext(X1,X2,X3,X4),X5,X6),X2,X1) ),
inference(superposition,[status(thm)],[c_481812,c_481342]) ).
tcf(c_572079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X1,X2,X3,X4),X1,X0)
| s_t(ext(X1,X2,X3,X4),X0,X1)
| s_t(ext(X1,X2,X3,X4),ext(X0,ext(X1,X2,X3,X4),X5,X6),X1)
| ( X1 = X2 )
| ( ext(X0,ext(X1,X2,X3,X4),X5,X6) = ext(X1,X2,X3,X4) )
| ~ s_t(ext(X0,ext(X1,X2,X3,X4),X5,X6),X2,X1) ),
inference(superposition,[status(thm)],[c_481812,c_481341]) ).
tcf(c_572080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,X0,ext(ins(X2,X3,X4,X0),X1,X5,X6))
| s_t(ext(ins(X2,X3,X4,X0),X1,X5,X6),X0,ins(X2,X3,X4,X0))
| ( ins(X2,X3,X4,X0) = X1 )
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_481812,c_480745]) ).
tcf(c_572081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ext(ins(X2,X3,X4,X0),X1,X5,X6),ins(X2,X3,X4,X0))
| s_t(ext(ins(X2,X3,X4,X0),X1,X5,X6),X0,ins(X2,X3,X4,X0))
| ( ins(X2,X3,X4,X0) = X1 )
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_481812,c_480742]) ).
tcf(c_572082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X0,ext(ins(X2,X3,X0,X4),X1,X5,X6),X2,X3)
| s_t(ext(ins(X2,X3,X0,X4),X1,X5,X6),X0,ins(X2,X3,X0,X4))
| ( ins(X2,X3,X0,X4) = X1 )
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_481812,c_480893]) ).
tcf(c_572083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(ins(X2,X3,X0,X4),X1,X5,X6),X0,ins(X2,X3,X0,X4))
| s_t(X2,ext(ext(X3,X2,alpha,gamma),X2,X0,ext(ins(X2,X3,X0,X4),X1,X5,X6)),X3)
| ( ins(X2,X3,X0,X4) = X1 )
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_481812,c_480791]) ).
tcf(c_572084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X4,ext(ins(X2,X3,X0,X4),X1,X5,X6))
| s_t(X0,ext(ins(X2,X3,X0,X4),X1,X5,X6),X4)
| s_t(ext(ins(X2,X3,X0,X4),X1,X5,X6),X0,ins(X2,X3,X0,X4))
| ( ins(X2,X3,X0,X4) = X1 )
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_481812,c_480737]) ).
tcf(c_572085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,X1)
| s_t(ext(X1,X0,X2,X3),X0,X1)
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_481812,c_480227]) ).
tcf(c_572086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,ext(X1,X0,X2,X3),X1)
| s_t(ext(X1,X0,X2,X3),X0,X1)
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_481812,c_480157]) ).
tcf(c_572087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,X2,ext(ext(X0,X2,X3,X4),X1,X5,X6))
| s_t(X0,ext(ext(X0,X2,X3,X4),X1,X5,X6),X2)
| s_t(ext(ext(X0,X2,X3,X4),X1,X5,X6),X0,ext(X0,X2,X3,X4))
| ( ext(X0,X2,X3,X4) = X1 )
| ~ s_t(X0,X1,ext(X0,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_481812,c_480701]) ).
tcf(c_572088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X2,ext(c63(X0,X2,X3),X1,X4,X5))
| s_t(X0,ext(c63(X0,X2,X3),X1,X4,X5),X2)
| s_t(ext(c63(X0,X2,X3),X1,X4,X5),X0,c63(X0,X2,X3))
| ( c63(X0,X2,X3) = X1 )
| ~ sameside(X0,X2,X3)
| ~ s_t(X0,X1,c63(X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_481812,c_481085]) ).
tcf(c_572089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,X3,ext(c63(X2,X3,X0),X1,X4,X5))
| s_t(X0,ext(c63(X2,X3,X0),X1,X4,X5),X3)
| s_t(ext(c63(X2,X3,X0),X1,X4,X5),X0,c63(X2,X3,X0))
| ( c63(X2,X3,X0) = X1 )
| ~ sameside(X2,X3,X0)
| ~ s_t(X0,X1,c63(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_481812,c_481146]) ).
tcf(c_572090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X0,X4,X5,X6),ext(X0,X1,X2,X3),X0)
| s_t(ext(X0,X1,X2,X3),X1,ext(X0,X4,X5,X6))
| s_t(ext(X0,X1,X2,X3),ext(X0,X4,X5,X6),X1)
| ( X0 = X4 )
| ~ s_t(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_481812,c_481340]) ).
tcf(c_572091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ip(X0,X1,X2,ext(X3,X4,X5,X6),X7),X3)
| s_t(ext(X3,X4,X5,X6),ip(X0,X1,X2,ext(X3,X4,X5,X6),X7),X3)
| ( X3 = X4 )
| ( ip(X0,X1,X2,ext(X3,X4,X5,X6),X7) = ext(X3,X4,X5,X6) )
| ~ s_t(X0,X1,X2)
| ~ s_t(ext(X3,X4,X5,X6),X7,X2)
| ~ s_t(ip(X0,X1,X2,ext(X3,X4,X5,X6),X7),X4,X3) ),
inference(superposition,[status(thm)],[c_481812,c_480228]) ).
tcf(c_572092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ext(X3,X4,X5,X6),X3)
| s_t(ext(X3,X4,X5,X6),ip(X0,X1,X2,ext(X3,X4,X5,X6),X7),X3)
| ( X3 = X4 )
| ( ip(X0,X1,X2,ext(X3,X4,X5,X6),X7) = ext(X3,X4,X5,X6) )
| ~ s_t(X0,X1,X2)
| ~ s_t(ext(X3,X4,X5,X6),X7,X2)
| ~ s_t(ip(X0,X1,X2,ext(X3,X4,X5,X6),X7),X4,X3) ),
inference(superposition,[status(thm)],[c_481812,c_480158]) ).
tcf(c_572093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ext(X3,X5,X6,X7),X3)
| s_t(ext(X3,X5,X6,X7),ip(X0,X1,X2,X3,X4),X3)
| ( X3 = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_481812,c_480182]) ).
tcf(c_572094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ip(X0,X1,X2,X3,X4),ext(X3,X5,X6,X7))
| s_t(ext(X3,X5,X6,X7),ip(X0,X1,X2,X3,X4),X3)
| ( X3 = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_481812,c_480112]) ).
tcf(c_572095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X1,X2,X3,X4),ip(X0,ext(X1,X2,X3,X4),X5,X1,X6),X1)
| ( X1 = X2 )
| ( ip(X0,ext(X1,X2,X3,X4),X5,X1,X6) = ext(X1,X2,X3,X4) )
| ~ s_t(X1,X6,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5)
| ~ s_t(ip(X0,ext(X1,X2,X3,X4),X5,X1,X6),X2,X1) ),
inference(superposition,[status(thm)],[c_481812,c_480091]) ).
tcf(c_572096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,ip(ext(X0,X1,X2,X3),X4,X5,X6,X7),X0)
| s_t(ext(X0,X1,X2,X3),ip(ext(X0,X1,X2,X3),X4,X5,X6,X7),X0)
| ( X0 = X1 )
| ( ip(ext(X0,X1,X2,X3),X4,X5,X6,X7) = ext(X0,X1,X2,X3) )
| ~ s_t(X6,X7,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5)
| ~ s_t(ip(ext(X0,X1,X2,X3),X4,X5,X6,X7),X1,X0) ),
inference(superposition,[status(thm)],[c_481812,c_480229]) ).
tcf(c_572097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X7,ext(X0,X1,X2,X3),X0)
| s_t(ext(X0,X1,X2,X3),ip(ext(X0,X1,X2,X3),X4,X5,X6,X7),X0)
| ( X0 = X1 )
| ( ip(ext(X0,X1,X2,X3),X4,X5,X6,X7) = ext(X0,X1,X2,X3) )
| ~ s_t(X6,X7,X5)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5)
| ~ s_t(ip(ext(X0,X1,X2,X3),X4,X5,X6,X7),X1,X0) ),
inference(superposition,[status(thm)],[c_481812,c_480159]) ).
tcf(c_572098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,ext(X0,X5,X6,X7),X0)
| s_t(ext(X0,X5,X6,X7),ip(X0,X1,X2,X3,X4),X0)
| ( X0 = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_481812,c_480183]) ).
tcf(c_572099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,ip(X0,X1,X2,X3,X4),ext(X0,X5,X6,X7))
| s_t(ext(X0,X5,X6,X7),ip(X0,X1,X2,X3,X4),X0)
| ( X0 = X5 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_481812,c_480113]) ).
tcf(c_572100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X0,X4,X5,X6),ip(X0,X1,X2,X3,ext(X0,X4,X5,X6)),X0)
| ( X0 = X4 )
| ( ip(X0,X1,X2,X3,ext(X0,X4,X5,X6)) = ext(X0,X4,X5,X6) )
| ~ s_t(X0,X1,X2)
| ~ s_t(X3,ext(X0,X4,X5,X6),X2)
| ~ s_t(ip(X0,X1,X2,X3,ext(X0,X4,X5,X6)),X4,X0) ),
inference(superposition,[status(thm)],[c_481812,c_480092]) ).
tcf(c_572101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X8,ext(X2,X3,X4,X5),X2)
| s_t(ext(X2,X3,X4,X5),crossbar(X0,X1,ext(X2,X3,X4,X5),X6,X7,X8),X2)
| ( X2 = X3 )
| ( crossbar(X0,X1,ext(X2,X3,X4,X5),X6,X7,X8) = ext(X2,X3,X4,X5) )
| ~ s_t(X0,X8,X6)
| ~ s_t(X6,X7,ext(X2,X3,X4,X5))
| ~ s_t(X0,X1,ext(X2,X3,X4,X5))
| ~ s_t(crossbar(X0,X1,ext(X2,X3,X4,X5),X6,X7,X8),X3,X2) ),
inference(superposition,[status(thm)],[c_481812,c_480258]) ).
tcf(c_572102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X8,crossbar(X0,X1,ext(X2,X3,X4,X5),X6,X7,X8),X2)
| s_t(ext(X2,X3,X4,X5),crossbar(X0,X1,ext(X2,X3,X4,X5),X6,X7,X8),X2)
| ( X2 = X3 )
| ( crossbar(X0,X1,ext(X2,X3,X4,X5),X6,X7,X8) = ext(X2,X3,X4,X5) )
| ~ s_t(X0,X8,X6)
| ~ s_t(X6,X7,ext(X2,X3,X4,X5))
| ~ s_t(X0,X1,ext(X2,X3,X4,X5))
| ~ s_t(crossbar(X0,X1,ext(X2,X3,X4,X5),X6,X7,X8),X3,X2) ),
inference(superposition,[status(thm)],[c_481812,c_480255]) ).
tcf(c_572103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X5,crossbar(X0,X1,X2,X3,X4,X5),ext(X2,X6,X7,X8))
| s_t(ext(X2,X6,X7,X8),crossbar(X0,X1,X2,X3,X4,X5),X2)
| ( X2 = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_481812,c_480260]) ).
tcf(c_572104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X5,ext(X2,X6,X7,X8),X2)
| s_t(ext(X2,X6,X7,X8),crossbar(X0,X1,X2,X3,X4,X5),X2)
| ( X2 = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_481812,c_480257]) ).
tcf(c_572105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ext(X2,X5,X6,X7),crossbar(X0,X1,X2,X3,X4,ext(X2,X5,X6,X7)),X2)
| ( X2 = X5 )
| ( crossbar(X0,X1,X2,X3,X4,ext(X2,X5,X6,X7)) = ext(X2,X5,X6,X7) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X0,ext(X2,X5,X6,X7),X3)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,ext(X2,X5,X6,X7)),X5,X2) ),
inference(superposition,[status(thm)],[c_481812,c_480261]) ).
tcf(c_572106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ext(X4,X5,X6,X7),X4)
| s_t(ext(X4,X5,X6,X7),crossbar(X0,X1,X2,X3,ext(X4,X5,X6,X7),X8),X4)
| ( X4 = X5 )
| ( crossbar(X0,X1,X2,X3,ext(X4,X5,X6,X7),X8) = ext(X4,X5,X6,X7) )
| ~ s_t(X0,X8,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X3,ext(X4,X5,X6,X7),X2)
| ~ s_t(crossbar(X0,X1,X2,X3,ext(X4,X5,X6,X7),X8),X5,X4) ),
inference(superposition,[status(thm)],[c_481812,c_480320]) ).
tcf(c_572107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,ext(X4,X5,X6,X7),X8),X4)
| s_t(ext(X4,X5,X6,X7),crossbar(X0,X1,X2,X3,ext(X4,X5,X6,X7),X8),X4)
| ( X4 = X5 )
| ( crossbar(X0,X1,X2,X3,ext(X4,X5,X6,X7),X8) = ext(X4,X5,X6,X7) )
| ~ s_t(X0,X8,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(X3,ext(X4,X5,X6,X7),X2)
| ~ s_t(crossbar(X0,X1,X2,X3,ext(X4,X5,X6,X7),X8),X5,X4) ),
inference(superposition,[status(thm)],[c_481812,c_480317]) ).
tcf(c_572108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,crossbar(X0,X1,X2,X3,X4,X5),ext(X4,X6,X7,X8))
| s_t(ext(X4,X6,X7,X8),crossbar(X0,X1,X2,X3,X4,X5),X4)
| ( X4 = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_481812,c_480322]) ).
tcf(c_572109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ext(X4,X6,X7,X8),X4)
| s_t(ext(X4,X6,X7,X8),crossbar(X0,X1,X2,X3,X4,X5),X4)
| ( X4 = X6 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_481812,c_480319]) ).
tcf(c_572110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ext(X1,X2,X3,X4),crossbar(X0,ext(X1,X2,X3,X4),X5,X6,X1,X7),X1)
| ( X1 = X2 )
| ( crossbar(X0,ext(X1,X2,X3,X4),X5,X6,X1,X7) = ext(X1,X2,X3,X4) )
| ~ s_t(X6,X1,X5)
| ~ s_t(X0,X7,X6)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5)
| ~ s_t(crossbar(X0,ext(X1,X2,X3,X4),X5,X6,X1,X7),X2,X1) ),
inference(superposition,[status(thm)],[c_481812,c_480323]) ).
tcf(c_572111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,ext(X0,X1,X2,X3),X0)
| ( X0 = X1 )
| ( crossbar(ext(X0,X1,X2,X3),X6,X0,X5,X6,X4) = X6 )
| ~ s_t(X6,X1,X0)
| ~ s_t(X5,X6,X0)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481812,c_480316]) ).
tcf(c_572112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,ext(X0,X1,X2,X3),X0)
| ( X0 = X1 )
| ( crossbar(ext(X0,X1,X2,X3),X5,X0,X4,X6,X0) = X0 )
| ~ s_t(X5,X1,X0)
| ~ s_t(X4,X6,X0)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_481812,c_480254]) ).
tcf(c_572113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ext(X2,X1,X3,X4),X2)
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X0 )
| ( ext(ext(X2,X1,X3,X4),X0,X0,X2) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_480013]) ).
tcf(c_572114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ext(X2,X1,X3,X4),X2)
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X0 )
| ( ext(ext(X2,X1,X3,X4),X0,X2,X0) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_480011]) ).
tcf(c_572115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ext(X1,X2,X3,X4),X1)
| ( X1 = X2 )
| ( ip(ext(X1,X2,X3,X4),X5,X1,X0,ext(X1,X2,X3,X4)) = ext(X1,X2,X3,X4) )
| ~ s_t(X5,X2,X1)
| ~ s_t(X0,ext(X1,X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_481812,c_479924]) ).
tcf(c_572116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(X2,X1,X4,X5),X2)
| ( X1 = X2 )
| ( ip(ext(X2,X1,X4,X5),X0,X2,X0,X3) = X0 )
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_479914]) ).
tcf(c_572117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,ext(X2,X1,X3,X4),X0)
| s_t(X0,ext(X2,X1,X3,X4),X2)
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = X2 )
| ( ext(X2,X1,X3,X4) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_238]) ).
tcf(c_572118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,ext(X2,X1,X3,X4),X2)
| s_t(X0,ext(X2,X1,X3,X4),X2)
| ( X1 = X2 )
| ( ext(X2,X1,X3,X4) = xb )
| ( ext(X2,X1,X3,X4) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_237]) ).
tcf(c_572119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X2,ext(X2,X1,X3,X4))
| s_t(X0,ext(X2,X1,X3,X4),X2)
| ( X1 = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_225]) ).
tcf(c_572120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X2,ext(X2,X1,X3,X4),X0)
| s_t(X0,ext(X2,X1,X3,X4),X2)
| ( X1 = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_224]) ).
tcf(c_572121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X2,X1,X3,X4),X0,X2)
| s_t(X0,ext(X2,X1,X3,X4),X2)
| ( X1 = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_223]) ).
tcf(c_572122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ext(X0,X1,X2,X3),X0)
| ( X4 = X5 )
| ( X0 = X1 )
| ~ s_r(X0,X4,X5)
| ~ s_t(X5,X1,X0)
| ~ s_r(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481812,c_184]) ).
tcf(c_572123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ext(X2,X1,X4,X5),X2)
| s_t(X0,ext(X2,X1,X4,X5),X2)
| s_t(ext(X2,X1,X4,X5),X3,X2)
| ( X1 = X2 )
| ( X0 = X2 )
| ~ s_t(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_147]) ).
tcf(c_572124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X3,X0,ext(X2,X1,X4,X5))
| s_t(X0,ext(X2,X1,X4,X5),X2)
| ( X1 = X2 )
| ( X0 = X2 )
| ( ext(X2,X1,X4,X5) = X0 )
| ~ sameside(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_145]) ).
tcf(c_572125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,ext(X2,X3,X4,X5))
| s_t(X1,ext(X2,X3,X4,X5),X2)
| ( X2 = X3 )
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(X2,X3,X4,X5) = X1 )
| ~ s_t(X1,X3,X2)
| ~ s_col(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_481812,c_143]) ).
tcf(c_572126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,ext(X0,X1,X2,X3),X0)
| ( X0 = X1 )
| ~ s_t(X4,X1,X0)
| ~ sameside(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_481812,c_133]) ).
tcf(c_572127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ext(X2,X1,X4,X5),X0,X3)
| s_t(X0,ext(X2,X1,X4,X5),X2)
| ( X1 = X2 )
| ( X0 = X3 )
| ( X0 = X2 )
| ( ext(X2,X1,X4,X5) = X0 )
| ~ s_t(X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_131]) ).
tcf(c_572128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X4,X0)
| s_t(X4,ext(X0,X1,X2,X3),X0)
| ( X4 = X5 )
| ( X0 = X4 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X4 )
| ~ s_t(X4,X1,X0)
| ~ sameside(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481812,c_125]) ).
tcf(c_572129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ext(X0,X1,X2,X3),X0)
| s_t(ext(X0,X1,X2,X3),X5,X4)
| s_t(ext(X0,X1,X2,X3),X4,X5)
| ( X0 = X1 )
| ~ s_t(X5,X1,X0)
| ~ s_t(ext(X0,X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_481812,c_109]) ).
tcf(c_572130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,X5,X0)
| s_t(X4,X0,X5)
| s_t(X4,ext(X0,X1,X2,X3),X0)
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X4 )
| ~ s_t(X4,X1,X0)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481812,c_108]) ).
tcf(c_572131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,ext(X0,X1,X2,X3),X0)
| s_t(ext(X0,X1,X2,X3),X5,X0)
| s_t(ext(X0,X1,X2,X3),X0,X5)
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X4 )
| ~ s_t(X4,X1,X0)
| ~ s_t(ext(X0,X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_481812,c_107]) ).
tcf(c_572132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(X2,X1,X4,X5),X2)
| s_t(ext(X2,X1,X4,X5),X0,X3)
| ( X1 = X2 )
| ( X0 = X2 )
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_81]) ).
tcf(c_572133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ext(X0,X1,X2,X3),X0)
| s_t(ext(X0,X1,X2,X3),X5,X4)
| ( X0 = X1 )
| ~ s_t(X5,X1,X0)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_481812,c_80]) ).
tcf(c_572134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(X2,X1,X4,X5),X2)
| s_t(ext(X2,X1,X4,X5),X3,X2)
| ( X1 = X2 )
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_79]) ).
tcf(c_572135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(X2,X1,X4,X5),X2)
| s_t(ext(X2,X1,X4,X5),X2,X3)
| ( X1 = X2 )
| ( X0 = X2 )
| ~ s_t(X0,X2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_78]) ).
tcf(c_572136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,X0,X4)
| s_t(X5,ext(X0,X1,X2,X3),X0)
| ( X0 = X1 )
| ~ s_t(X5,X1,X0)
| ~ s_t(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_481812,c_77]) ).
tcf(c_572137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(X2,X1,X4,X5),X2)
| s_t(ext(X2,X1,X4,X5),X0,X3)
| ( X1 = X2 )
| ~ s_t(X0,X3,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_76]) ).
tcf(c_572139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,X0,ext(X2,X1,X3,X4))
| s_t(X0,ext(X2,X1,X3,X4),X2)
| ( X1 = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_73]) ).
tcf(c_572140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,ext(X0,X1,X2,X3),X4,X5),ext(X0,X1,X2,X3),X0)
| ( X0 = X1 )
| ( ext(X0,ext(X0,X1,X2,X3),X4,X5) = ext(X0,X1,X2,X3) )
| ~ s_t(ext(X0,ext(X0,X1,X2,X3),X4,X5),X1,X0) ),
inference(superposition,[status(thm)],[c_481812,c_481349]) ).
tcf(c_572141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X0,X1,X2,X3),X4,X0)
| s_t(ext(ext(X0,X1,X2,X3),X4,X5,X6),ext(X0,X1,X2,X3),X0)
| ( X0 = X1 )
| ~ s_t(ext(ext(X0,X1,X2,X3),X4,X5,X6),X1,X0) ),
inference(superposition,[status(thm)],[c_481812,c_480204]) ).
tcf(c_572142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ext(ext(X0,X1,X2,X3),X4,X5,X6),X0)
| s_t(ext(ext(X0,X1,X2,X3),X4,X5,X6),ext(X0,X1,X2,X3),X0)
| ( X0 = X1 )
| ~ s_t(ext(ext(X0,X1,X2,X3),X4,X5,X6),X1,X0) ),
inference(superposition,[status(thm)],[c_481812,c_480134]) ).
tcf(c_572143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,c63(ext(X0,X1,X2,X3),X4,X5),X0)
| s_t(c63(ext(X0,X1,X2,X3),X4,X5),ext(X0,X1,X2,X3),X0)
| ( X0 = X1 )
| ~ sameside(ext(X0,X1,X2,X3),X4,X5)
| ~ s_t(c63(ext(X0,X1,X2,X3),X4,X5),X1,X0) ),
inference(superposition,[status(thm)],[c_481812,c_481092]) ).
tcf(c_572144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X0,X1,X2,X3),X4,X0)
| s_t(c63(ext(X0,X1,X2,X3),X4,X5),ext(X0,X1,X2,X3),X0)
| ( X0 = X1 )
| ~ sameside(ext(X0,X1,X2,X3),X4,X5)
| ~ s_t(c63(ext(X0,X1,X2,X3),X4,X5),X1,X0) ),
inference(superposition,[status(thm)],[c_481812,c_481089]) ).
tcf(c_572145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,c63(X0,X1,ext(X2,X3,X4,X5)),X2)
| s_t(c63(X0,X1,ext(X2,X3,X4,X5)),ext(X2,X3,X4,X5),X2)
| ( X2 = X3 )
| ~ sameside(X0,X1,ext(X2,X3,X4,X5))
| ~ s_t(c63(X0,X1,ext(X2,X3,X4,X5)),X3,X2) ),
inference(superposition,[status(thm)],[c_481812,c_481153]) ).
tcf(c_572146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(ext(X2,X3,X4,X5),X1,X2)
| s_t(c63(X0,X1,ext(X2,X3,X4,X5)),ext(X2,X3,X4,X5),X2)
| ( X2 = X3 )
| ~ sameside(X0,X1,ext(X2,X3,X4,X5))
| ~ s_t(c63(X0,X1,ext(X2,X3,X4,X5)),X3,X2) ),
inference(superposition,[status(thm)],[c_481812,c_481150]) ).
tcf(c_572149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(X1,X2,X3,X4),X0,X1)
| s_t(s(X0,ext(X1,X2,X3,X4)),ext(X1,X2,X3,X4),X1)
| ( X1 = X2 )
| ~ s_t(s(X0,ext(X1,X2,X3,X4)),X2,X1) ),
inference(superposition,[status(thm)],[c_481812,c_485960]) ).
tcf(c_572150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,ext(X1,X0,X2,X3),X1)
| s_t(ext(X1,X0,X2,X3),X1,X1)
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_481812,c_481342]) ).
tcf(c_572152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X6,ins(X0,X1,ext(X2,X3,X4,X5),X6),X2)
| s_t(ins(X0,X1,ext(X2,X3,X4,X5),X6),ext(X2,X3,X4,X5),X2)
| ( X2 = X3 )
| ~ le(ext(X2,X3,X4,X5),X6,X0,X1)
| ~ s_t(ins(X0,X1,ext(X2,X3,X4,X5),X6),X3,X2) ),
inference(superposition,[status(thm)],[c_481812,c_480744]) ).
tcf(c_572153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(ext(X2,X3,X4,X5),X6,X2)
| s_t(ins(X0,X1,ext(X2,X3,X4,X5),X6),ext(X2,X3,X4,X5),X2)
| ( X2 = X3 )
| ~ le(ext(X2,X3,X4,X5),X6,X0,X1)
| ~ s_t(ins(X0,X1,ext(X2,X3,X4,X5),X6),X3,X2) ),
inference(superposition,[status(thm)],[c_481812,c_480741]) ).
tcf(c_572154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ext(X1,X2,X3,X4),X1)
| s_t(ext(X0,ext(X1,X2,X3,X4),X5,X6),ext(X1,X2,X3,X4),X1)
| ( X1 = X2 )
| ( ext(X0,ext(X1,X2,X3,X4),X5,X6) = ext(X1,X2,X3,X4) )
| ~ s_t(ext(X0,ext(X1,X2,X3,X4),X5,X6),X2,X1) ),
inference(superposition,[status(thm)],[c_481812,c_480227]) ).
tcf(c_572155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ext(X0,ext(X1,X2,X3,X4),X5,X6),X1)
| s_t(ext(X0,ext(X1,X2,X3,X4),X5,X6),ext(X1,X2,X3,X4),X1)
| ( X1 = X2 )
| ( ext(X0,ext(X1,X2,X3,X4),X5,X6) = ext(X1,X2,X3,X4) )
| ~ s_t(ext(X0,ext(X1,X2,X3,X4),X5,X6),X2,X1) ),
inference(superposition,[status(thm)],[c_481812,c_480157]) ).
tcf(c_572156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ins(X0,X1,X2,ext(X3,X4,X5,X6)),X3)
| s_t(ins(X0,X1,X2,ext(X3,X4,X5,X6)),ext(X3,X4,X5,X6),X3)
| ( X3 = X4 )
| ( ins(X0,X1,X2,ext(X3,X4,X5,X6)) = ext(X3,X4,X5,X6) )
| ~ le(X2,ext(X3,X4,X5,X6),X0,X1)
| ~ s_t(ins(X0,X1,X2,ext(X3,X4,X5,X6)),X4,X3) ),
inference(superposition,[status(thm)],[c_481812,c_480743]) ).
tcf(c_572157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(X3,X4,X5,X6),X3)
| s_t(ins(X0,X1,X2,ext(X3,X4,X5,X6)),ext(X3,X4,X5,X6),X3)
| ( X3 = X4 )
| ( ins(X0,X1,X2,ext(X3,X4,X5,X6)) = ext(X3,X4,X5,X6) )
| ~ le(X2,ext(X3,X4,X5,X6),X0,X1)
| ~ s_t(ins(X0,X1,X2,ext(X3,X4,X5,X6)),X4,X3) ),
inference(superposition,[status(thm)],[c_481812,c_480740]) ).
tcf(c_572158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,c63(X0,ext(X1,X2,X3,X4),X5),X1)
| s_t(c63(X0,ext(X1,X2,X3,X4),X5),ext(X1,X2,X3,X4),X1)
| ( X1 = X2 )
| ~ sameside(X0,ext(X1,X2,X3,X4),X5)
| ~ s_t(c63(X0,ext(X1,X2,X3,X4),X5),X2,X1) ),
inference(superposition,[status(thm)],[c_481812,c_539198]) ).
tcf(c_572159,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X5,ext(X1,X2,X3,X4),X1)
| s_t(c63(X0,ext(X1,X2,X3,X4),X5),ext(X1,X2,X3,X4),X1)
| ( X1 = X2 )
| ~ sameside(X0,ext(X1,X2,X3,X4),X5)
| ~ s_t(c63(X0,ext(X1,X2,X3,X4),X5),X2,X1) ),
inference(superposition,[status(thm)],[c_481812,c_538289]) ).
tcf(c_572160,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,c63(X0,ext(X1,X2,X3,X4),X5),X1)
| s_t(c63(X0,ext(X1,X2,X3,X4),X5),ext(X1,X2,X3,X4),X1)
| ( X1 = X2 )
| ~ sameside(X0,ext(X1,X2,X3,X4),X5)
| ~ s_t(c63(X0,ext(X1,X2,X3,X4),X5),X2,X1) ),
inference(superposition,[status(thm)],[c_481812,c_532776]) ).
tcf(c_572161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(X1,X2,X3,X4),X1)
| s_t(c63(X0,ext(X1,X2,X3,X4),X5),ext(X1,X2,X3,X4),X1)
| ( X1 = X2 )
| ~ sameside(X0,ext(X1,X2,X3,X4),X5)
| ~ s_t(c63(X0,ext(X1,X2,X3,X4),X5),X2,X1) ),
inference(superposition,[status(thm)],[c_481812,c_531999]) ).
tcf(c_572162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ext(X2,X1,X3,X4),X2)
| s_t(ext(X2,X1,X3,X4),X1,X0)
| s_t(ext(X2,X1,X3,X4),X0,X1)
| ( X1 = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481812,c_481340]) ).
tcf(c_572163,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ip(X0,ext(X1,X2,X3,X4),X5,X6,X7),X6,X1)
| s_t(ip(X0,ext(X1,X2,X3,X4),X5,X6,X7),X1,X6)
| s_t(ip(X0,ext(X1,X2,X3,X4),X5,X6,X7),ext(X1,X2,X3,X4),X1)
| ( X1 = X2 )
| ( ip(X0,ext(X1,X2,X3,X4),X5,X6,X7) = ext(X1,X2,X3,X4) )
| ~ s_t(X6,X7,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5)
| ~ s_t(ip(X0,ext(X1,X2,X3,X4),X5,X6,X7),X2,X1) ),
inference(superposition,[status(thm)],[c_481812,c_480647]) ).
tcf(c_572164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ext(X1,X2,X3,X4),X6,X1)
| s_t(ext(X1,X2,X3,X4),X1,X6)
| s_t(ip(X0,ext(X1,X2,X3,X4),X5,X6,X7),ext(X1,X2,X3,X4),X1)
| ( X1 = X2 )
| ( ip(X0,ext(X1,X2,X3,X4),X5,X6,X7) = ext(X1,X2,X3,X4) )
| ~ s_t(X6,X7,X5)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5)
| ~ s_t(ip(X0,ext(X1,X2,X3,X4),X5,X6,X7),X2,X1) ),
inference(superposition,[status(thm)],[c_481812,c_480600]) ).
tcf(c_572165,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ip(X0,X1,X2,X3,ext(X4,X5,X6,X7)),X4,X0)
| s_t(ip(X0,X1,X2,X3,ext(X4,X5,X6,X7)),X0,X4)
| s_t(ip(X0,X1,X2,X3,ext(X4,X5,X6,X7)),ext(X4,X5,X6,X7),X4)
| ( X4 = X5 )
| ( ip(X0,X1,X2,X3,ext(X4,X5,X6,X7)) = ext(X4,X5,X6,X7) )
| ~ s_t(X0,X1,X2)
| ~ s_t(X3,ext(X4,X5,X6,X7),X2)
| ~ s_t(ip(X0,X1,X2,X3,ext(X4,X5,X6,X7)),X5,X4) ),
inference(superposition,[status(thm)],[c_481812,c_480648]) ).
tcf(c_572166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(ext(X4,X5,X6,X7),X4,X0)
| s_t(ext(X4,X5,X6,X7),X0,X4)
| s_t(ip(X0,X1,X2,X3,ext(X4,X5,X6,X7)),ext(X4,X5,X6,X7),X4)
| ( X4 = X5 )
| ( ip(X0,X1,X2,X3,ext(X4,X5,X6,X7)) = ext(X4,X5,X6,X7) )
| ~ s_t(X0,X1,X2)
| ~ s_t(X3,ext(X4,X5,X6,X7),X2)
| ~ s_t(ip(X0,X1,X2,X3,ext(X4,X5,X6,X7)),X5,X4) ),
inference(superposition,[status(thm)],[c_481812,c_480601]) ).
tcf(c_572167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,ext(ext(X2,X0,X3,X4),X1,X5,X6),ext(X2,X0,X3,X4))
| s_t(X0,ext(ext(X2,X0,X3,X4),X1,X5,X6),ext(X2,X0,X3,X4))
| s_t(ext(ext(X2,X0,X3,X4),X1,X5,X6),X2,ext(X2,X0,X3,X4))
| ( ext(X2,X0,X3,X4) = X1 )
| ( ext(X2,X0,X3,X4) = X0 )
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481812,c_481802]) ).
tcf(c_572168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X2,X0,ext(ext(X2,X0,X3,X4),X1,X5,X6))
| s_t(X0,ext(ext(X2,X0,X3,X4),X1,X5,X6),ext(X2,X0,X3,X4))
| ( X0 = X2 )
| ( ext(X2,X0,X3,X4) = X1 )
| ( ext(X2,X0,X3,X4) = X0 )
| ( ext(ext(X2,X0,X3,X4),X1,X5,X6) = X0 )
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481812,c_481222]) ).
tcf(c_572169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ext(ext(X2,X0,X3,X4),X1,X5,X6),ext(X2,X0,X3,X4))
| ( ext(X2,X0,X3,X4) = X1 )
| ( ext(ext(X2,X0,X3,X4),X1,X5,X6) = X0 )
| ( ext(ext(ext(X2,X0,X3,X4),X1,X5,X6),X0,X3,X4) = ext(X2,X0,X3,X4) )
| ~ s_t(X0,X1,ext(X2,X0,X3,X4)) ),
inference(superposition,[status(thm)],[c_481812,c_480012]) ).
tcf(c_572170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ext(X3,X5,X6,X7),X3)
| s_t(ext(X3,X5,X6,X7),X1,X3)
| s_t(ip(X0,X1,X2,X3,X4),ext(X3,X5,X6,X7),X3)
| ( X3 = X5 )
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_481812,c_481803]) ).
tcf(c_572171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X4),ext(X3,X5,X6,X7))
| s_t(ip(X0,X1,X2,X3,X4),ext(X3,X5,X6,X7),X3)
| ( X3 = X5 )
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( ip(X0,X1,X2,X3,X4) = ext(X3,X5,X6,X7) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X3) ),
inference(superposition,[status(thm)],[c_481812,c_481223]) ).
tcf(c_572172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X4,ext(X0,X5,X6,X7),X0)
| s_t(ext(X0,X5,X6,X7),X4,X0)
| s_t(ip(X0,X1,X2,X3,X4),ext(X0,X5,X6,X7),X0)
| ( X0 = X5 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_481812,c_481804]) ).
tcf(c_572173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),ext(X0,X5,X6,X7))
| s_t(ip(X0,X1,X2,X3,X4),ext(X0,X5,X6,X7),X0)
| ( X0 = X5 )
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( ip(X0,X1,X2,X3,X4) = ext(X0,X5,X6,X7) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X5,X0) ),
inference(superposition,[status(thm)],[c_481812,c_481224]) ).
tcf(c_572174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ext(ins(X2,X3,X4,X0),X1,X5,X6),ins(X2,X3,X4,X0))
| s_t(X0,ext(ins(X2,X3,X4,X0),X1,X5,X6),ins(X2,X3,X4,X0))
| s_t(ext(ins(X2,X3,X4,X0),X1,X5,X6),X4,ins(X2,X3,X4,X0))
| ( ins(X2,X3,X4,X0) = X1 )
| ( ins(X2,X3,X4,X0) = X0 )
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_481812,c_481809]) ).
tcf(c_572175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X4,X0,ext(ins(X2,X3,X4,X0),X1,X5,X6))
| s_t(X0,ext(ins(X2,X3,X4,X0),X1,X5,X6),ins(X2,X3,X4,X0))
| ( X0 = X4 )
| ( ins(X2,X3,X4,X0) = X1 )
| ( ins(X2,X3,X4,X0) = X0 )
| ( ext(ins(X2,X3,X4,X0),X1,X5,X6) = X0 )
| ~ le(X4,X0,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X4,X0)) ),
inference(superposition,[status(thm)],[c_481812,c_481229]) ).
tcf(c_572176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,ext(c63(X2,X0,X3),X1,X4,X5),c63(X2,X0,X3))
| s_t(X0,ext(c63(X2,X0,X3),X1,X4,X5),c63(X2,X0,X3))
| s_t(ext(c63(X2,X0,X3),X1,X4,X5),X3,c63(X2,X0,X3))
| ( c63(X2,X0,X3) = X1 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481812,c_571066]) ).
tcf(c_572177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X2,ext(c63(X2,X0,X3),X1,X4,X5),c63(X2,X0,X3))
| s_t(X0,ext(c63(X2,X0,X3),X1,X4,X5),c63(X2,X0,X3))
| s_t(ext(c63(X2,X0,X3),X1,X4,X5),X2,c63(X2,X0,X3))
| ( c63(X2,X0,X3) = X1 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481812,c_570690]) ).
tcf(c_572178,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,X0,ext(c63(X2,X0,X3),X1,X4,X5))
| s_t(X0,ext(c63(X2,X0,X3),X1,X4,X5),c63(X2,X0,X3))
| ( X0 = X3 )
| ( c63(X2,X0,X3) = X1 )
| ( ext(c63(X2,X0,X3),X1,X4,X5) = X0 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481812,c_543337]) ).
tcf(c_572179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X2,X0,ext(c63(X2,X0,X3),X1,X4,X5))
| s_t(X0,ext(c63(X2,X0,X3),X1,X4,X5),c63(X2,X0,X3))
| ( X0 = X2 )
| ( c63(X2,X0,X3) = X1 )
| ( ext(c63(X2,X0,X3),X1,X4,X5) = X0 )
| ~ sameside(X2,X0,X3)
| ~ s_t(X0,X1,c63(X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_481812,c_542847]) ).
tcf(c_572180,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X0,ext(ins(X2,X3,X0,X4),X1,X5,X6),ins(X2,X3,X0,X4))
| ( ins(X2,X3,X0,X4) = X1 )
| ( ext(ins(X2,X3,X0,X4),X1,X5,X6) = X0 )
| ( ext(ext(ins(X2,X3,X0,X4),X1,X5,X6),X0,X2,X3) = ins(X2,X3,X0,X4) )
| ~ le(X0,X4,X2,X3)
| ~ s_t(X0,X1,ins(X2,X3,X0,X4)) ),
inference(superposition,[status(thm)],[c_481812,c_480795]) ).
tcf(c_572181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X5,ext(X2,X6,X7,X8),X2)
| s_t(ext(X2,X6,X7,X8),X5,X2)
| s_t(crossbar(X0,X1,X2,X3,X4,X5),ext(X2,X6,X7,X8),X2)
| ( X2 = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_481812,c_481807]) ).
tcf(c_572182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X5,crossbar(X0,X1,X2,X3,X4,X5),ext(X2,X6,X7,X8))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),ext(X2,X6,X7,X8),X2)
| ( X2 = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X5 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = ext(X2,X6,X7,X8) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X2) ),
inference(superposition,[status(thm)],[c_481812,c_481227]) ).
tcf(c_572183,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(crossbar(X0,X1,X2,X3,X4,ext(X5,X6,X7,X8)),X5,X2)
| s_t(crossbar(X0,X1,X2,X3,X4,ext(X5,X6,X7,X8)),X2,X5)
| s_t(crossbar(X0,X1,X2,X3,X4,ext(X5,X6,X7,X8)),ext(X5,X6,X7,X8),X5)
| ( X5 = X6 )
| ( crossbar(X0,X1,X2,X3,X4,ext(X5,X6,X7,X8)) = ext(X5,X6,X7,X8) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X0,ext(X5,X6,X7,X8),X3)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,ext(X5,X6,X7,X8)),X6,X5) ),
inference(superposition,[status(thm)],[c_481812,c_480651]) ).
tcf(c_572184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(ext(X5,X6,X7,X8),X5,X2)
| s_t(ext(X5,X6,X7,X8),X2,X5)
| s_t(crossbar(X0,X1,X2,X3,X4,ext(X5,X6,X7,X8)),ext(X5,X6,X7,X8),X5)
| ( X5 = X6 )
| ( crossbar(X0,X1,X2,X3,X4,ext(X5,X6,X7,X8)) = ext(X5,X6,X7,X8) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(X0,ext(X5,X6,X7,X8),X3)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,ext(X5,X6,X7,X8)),X6,X5) ),
inference(superposition,[status(thm)],[c_481812,c_480604]) ).
tcf(c_572185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(X1,ext(X4,X6,X7,X8),X4)
| s_t(ext(X4,X6,X7,X8),X1,X4)
| s_t(crossbar(X0,X1,X2,X3,X4,X5),ext(X4,X6,X7,X8),X4)
| ( X4 = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_481812,c_481808]) ).
tcf(c_572186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( sameside(X1,crossbar(X0,X1,X2,X3,X4,X5),ext(X4,X6,X7,X8))
| s_t(crossbar(X0,X1,X2,X3,X4,X5),ext(X4,X6,X7,X8),X4)
| ( X4 = X6 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X1 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = ext(X4,X6,X7,X8) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X6,X4) ),
inference(superposition,[status(thm)],[c_481812,c_481228]) ).
tcf(c_572187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(crossbar(X0,ext(X1,X2,X3,X4),X5,X6,X7,X8),X7,X1)
| s_t(crossbar(X0,ext(X1,X2,X3,X4),X5,X6,X7,X8),X1,X7)
| s_t(crossbar(X0,ext(X1,X2,X3,X4),X5,X6,X7,X8),ext(X1,X2,X3,X4),X1)
| ( X1 = X2 )
| ( crossbar(X0,ext(X1,X2,X3,X4),X5,X6,X7,X8) = ext(X1,X2,X3,X4) )
| ~ s_t(X6,X7,X5)
| ~ s_t(X0,X8,X6)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5)
| ~ s_t(crossbar(X0,ext(X1,X2,X3,X4),X5,X6,X7,X8),X2,X1) ),
inference(superposition,[status(thm)],[c_481812,c_480652]) ).
tcf(c_572188,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
( s_t(ext(X1,X2,X3,X4),X7,X1)
| s_t(ext(X1,X2,X3,X4),X1,X7)
| s_t(crossbar(X0,ext(X1,X2,X3,X4),X5,X6,X7,X8),ext(X1,X2,X3,X4),X1)
| ( X1 = X2 )
| ( crossbar(X0,ext(X1,X2,X3,X4),X5,X6,X7,X8) = ext(X1,X2,X3,X4) )
| ~ s_t(X6,X7,X5)
| ~ s_t(X0,X8,X6)
| ~ s_t(X0,ext(X1,X2,X3,X4),X5)
| ~ s_t(crossbar(X0,ext(X1,X2,X3,X4),X5,X6,X7,X8),X2,X1) ),
inference(superposition,[status(thm)],[c_481812,c_480605]) ).
tcf(c_572189,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(ext(X0,X1,X2,X3),ext(X0,X1,X2,X3),X0)
| ( X0 = X1 )
| ~ s_t(ext(X0,X1,X2,X3),X1,X0) ),
inference(equality_factoring,[status(thm)],[c_481812]) ).
tcf(c_573496,plain,
( sameside(sK1,sK3,sK1)
| s_t(sK1,sK3,sK0) ),
inference(superposition,[status(thm)],[c_481874,c_481873]) ).
tcf(c_573499,plain,
! [X0: $i,X1: $i] :
( s_t(sK1,sK3,sK0)
| sameside(sK1,sK3,ext(ext(sK0,sK3,alpha,gamma),sK3,X0,X1))
| ( sK0 = sK3 )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_481510,c_481873]) ).
tcf(c_573500,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK1,sK3,sK0)
| sameside(sK0,sK3,X0)
| sameside(sK1,sK3,ext(X0,sK3,X1,X2))
| ( sK0 = sK3 )
| ( X0 = sK3 )
| ( ext(X0,sK3,X1,X2) = sK3 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_481624,c_481873]) ).
tcf(c_573501,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK1,sK3,sK0)
| sameside(sK0,sK3,X0)
| sameside(sK1,sK3,ins(X1,X2,X0,sK3))
| ( sK0 = sK3 )
| ( X0 = sK3 )
| ( ins(X1,X2,X0,sK3) = sK3 )
| ~ s_col(sK0,sK3,X0)
| ~ le(X0,sK3,X1,X2) ),
inference(superposition,[status(thm)],[c_481631,c_481873]) ).
tcf(c_573502,plain,
! [X0: $i,X1: $i] :
( s_t(sK1,sK3,sK0)
| sameside(sK0,sK3,X0)
| sameside(sK1,sK3,c63(X0,sK3,X1))
| ( sK0 = sK3 )
| ( X0 = sK3 )
| ~ s_col(sK0,sK3,X0)
| ~ sameside(X0,sK3,X1) ),
inference(superposition,[status(thm)],[c_553161,c_481873]) ).
tcf(c_573503,plain,
! [X0: $i,X1: $i] :
( s_t(sK1,sK3,sK0)
| sameside(sK0,sK3,X1)
| sameside(sK1,sK3,c63(X0,sK3,X1))
| ( sK0 = sK3 )
| ( X1 = sK3 )
| ~ s_col(sK0,sK3,X1)
| ~ sameside(X0,sK3,X1) ),
inference(superposition,[status(thm)],[c_553348,c_481873]) ).
tcf(c_573551,plain,
( sameside(sK2,sK0,sK2)
| s_t(sK2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_481890,c_481889]) ).
tcf(c_573553,plain,
( sameside(sK2,sK0,sK3)
| s_t(sK3,sK0,sK1)
| s_t(sK2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_482240,c_481889]) ).
tcf(c_573554,plain,
( sameside(sK2,sK0,sK3)
| s_t(sK2,sK0,sK1)
| s_t(sK1,sK0,sK3) ),
inference(superposition,[status(thm)],[c_481416,c_481889]) ).
tcf(c_573556,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK0,sK1)
| sameside(sK2,sK0,ext(ext(sK1,sK0,alpha,gamma),sK0,X0,X1))
| ( sK0 = sK1 )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_481510,c_481889]) ).
tcf(c_573557,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,sK0,sK1)
| sameside(sK1,sK0,X0)
| sameside(sK2,sK0,ext(X0,sK0,X1,X2))
| ( sK0 = sK1 )
| ( X0 = sK0 )
| ( ext(X0,sK0,X1,X2) = sK0 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_481624,c_481889]) ).
tcf(c_573558,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,sK0,sK1)
| sameside(sK1,sK0,X0)
| sameside(sK2,sK0,ins(X1,X2,X0,sK0))
| ( sK0 = sK1 )
| ( X0 = sK0 )
| ( ins(X1,X2,X0,sK0) = sK0 )
| ~ s_col(sK1,sK0,X0)
| ~ le(X0,sK0,X1,X2) ),
inference(superposition,[status(thm)],[c_481631,c_481889]) ).
tcf(c_573559,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK0,sK1)
| sameside(sK1,sK0,X0)
| sameside(sK2,sK0,c63(X0,sK0,X1))
| ( sK0 = sK1 )
| ( X0 = sK0 )
| ~ s_col(sK1,sK0,X0)
| ~ sameside(X0,sK0,X1) ),
inference(superposition,[status(thm)],[c_553161,c_481889]) ).
tcf(c_573560,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK0,sK1)
| sameside(sK1,sK0,X1)
| sameside(sK2,sK0,c63(X0,sK0,X1))
| ( sK0 = sK1 )
| ( X1 = sK0 )
| ~ s_col(sK1,sK0,X1)
| ~ sameside(X0,sK0,X1) ),
inference(superposition,[status(thm)],[c_553348,c_481889]) ).
tcf(c_573561,plain,
( sameside(sK2,sK0,sK1)
| s_t(sK3,sK0,sK1)
| s_t(sK2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_158876,c_481889]) ).
tcf(c_573614,plain,
( s_t(sK3,sK1,sK1)
| s_t(sK1,sK3,sK0) ),
inference(superposition,[status(thm)],[c_573496,c_236]) ).
tcf(c_573617,plain,
( s_col(sK1,sK3,sK1)
| s_t(sK1,sK3,sK0) ),
inference(superposition,[status(thm)],[c_573496,c_132]) ).
tcf(c_573622,plain,
( s_t(sK2,sK0,sK1)
| s_t(sK0,sK2,sK2) ),
inference(superposition,[status(thm)],[c_573551,c_236]) ).
tcf(c_573625,plain,
( s_col(sK2,sK0,sK2)
| s_t(sK2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_573551,c_132]) ).
tcf(c_573634,plain,
( s_col(sK0,sK2,sK0)
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_100,c_481909]) ).
tcf(c_573635,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,sK2,f813(sK0,sK1,X1,X2,X0))
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ perpAt(sK0,sK1,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_481909]) ).
tcf(c_573636,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,sK2,g813(X0,X1,sK0,sK1,X2))
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ perpAt(X0,X1,X2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_196,c_481909]) ).
tcf(c_573637,plain,
( s_col(sK0,sK2,sK2)
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_5023,c_481909]) ).
tcf(c_573638,plain,
( s_col(sK0,sK2,sK3)
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_5022,c_481909]) ).
tcf(c_573639,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(sK0,sK1,X2,X0,X1)
| s_col(sK0,sK2,f811(sK0,sK1,X0,X1,X2))
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_481909]) ).
tcf(c_573640,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(X0,X1,X2,sK0,sK1)
| s_col(sK0,sK2,g811(X0,X1,sK0,sK1,X2))
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_481909]) ).
tcf(c_573641,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,sK2,insert5(X0,X1,X2,sK0,sK1))
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK0,sK1) ),
inference(superposition,[status(thm)],[c_480519,c_481909]) ).
tcf(c_573643,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK2,ext(sK0,sK1,X0,X1))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_484594,c_481909]) ).
tcf(c_573644,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK2,ext(sK1,sK0,X0,X1))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_484758,c_481909]) ).
tcf(c_573645,plain,
( s_col(sK0,sK2,s(sK1,sK0))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_485948,c_481909]) ).
tcf(c_573646,plain,
( s_col(sK0,sK2,s(sK0,sK1))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_486075,c_481909]) ).
tcf(c_573647,plain,
( s_col(sK0,sK2,s(sK1,s(sK0,sK1)))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_553533,c_481909]) ).
tcf(c_573648,plain,
( s_col(sK0,sK2,s(sK0,s(sK1,sK0)))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_553998,c_481909]) ).
tcf(c_573649,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,sK2,ext(X0,sK1,X1,X2))
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ( X0 = sK1 )
| ( ext(X0,sK1,X1,X2) = sK1 )
| ~ sameside(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_481736,c_481909]) ).
tcf(c_573650,plain,
( s_col(sK0,sK2,s(s(sK1,sK0),sK0))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_517629,c_481909]) ).
tcf(c_573651,plain,
( s_col(sK0,sK2,s(s(sK0,sK1),sK1))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_519197,c_481909]) ).
tcf(c_573652,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK2,ext(sK0,s(sK1,sK0),X0,X1))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_523155,c_481909]) ).
tcf(c_573653,plain,
( s_col(sK0,sK2,s(s(s(sK1,sK0),sK0),sK0))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_529295,c_481909]) ).
tcf(c_573654,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK2,ext(sK1,s(sK0,sK1),X0,X1))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_535610,c_481909]) ).
tcf(c_573655,plain,
( s_col(sK0,sK2,s(s(s(sK0,sK1),sK1),sK1))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_543639,c_481909]) ).
tcf(c_573656,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK2,s(sK1,ext(sK1,sK0,X0,X1)))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_548058,c_481909]) ).
tcf(c_573657,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK2,s(sK0,ext(sK0,sK1,X0,X1)))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_548460,c_481909]) ).
tcf(c_573658,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK2,s(ext(sK0,sK1,X0,X1),sK0))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_499649,c_481909]) ).
tcf(c_573659,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK2,s(ext(sK1,sK0,X0,X1),sK1))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_503147,c_481909]) ).
tcf(c_573753,plain,
( s_col(sK0,sK3,sK0)
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_100,c_481910]) ).
tcf(c_573754,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,sK3,f813(sK0,sK1,X1,X2,X0))
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ perpAt(sK0,sK1,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_481910]) ).
tcf(c_573755,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,sK3,g813(X0,X1,sK0,sK1,X2))
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ perpAt(X0,X1,X2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_196,c_481910]) ).
tcf(c_573756,plain,
( s_col(sK0,sK3,sK2)
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_5023,c_481910]) ).
tcf(c_573757,plain,
( s_col(sK0,sK3,sK3)
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_5022,c_481910]) ).
tcf(c_573758,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(sK0,sK1,X2,X0,X1)
| s_col(sK0,sK3,f811(sK0,sK1,X0,X1,X2))
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_481910]) ).
tcf(c_573759,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(X0,X1,X2,sK0,sK1)
| s_col(sK0,sK3,g811(X0,X1,sK0,sK1,X2))
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_481910]) ).
tcf(c_573760,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,sK3,insert5(X0,X1,X2,sK0,sK1))
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK0,sK1) ),
inference(superposition,[status(thm)],[c_480519,c_481910]) ).
tcf(c_573762,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK3,ext(sK0,sK1,X0,X1))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_484594,c_481910]) ).
tcf(c_573763,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK3,ext(sK1,sK0,X0,X1))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_484758,c_481910]) ).
tcf(c_573764,plain,
( s_col(sK0,sK3,s(sK1,sK0))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_485948,c_481910]) ).
tcf(c_573765,plain,
( s_col(sK0,sK3,s(sK0,sK1))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_486075,c_481910]) ).
tcf(c_573766,plain,
( s_col(sK0,sK3,s(sK1,s(sK0,sK1)))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_553533,c_481910]) ).
tcf(c_573767,plain,
( s_col(sK0,sK3,s(sK0,s(sK1,sK0)))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_553998,c_481910]) ).
tcf(c_573768,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,sK3,ext(X0,sK1,X1,X2))
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ( X0 = sK1 )
| ( ext(X0,sK1,X1,X2) = sK1 )
| ~ sameside(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_481736,c_481910]) ).
tcf(c_573769,plain,
( s_col(sK0,sK3,s(s(sK1,sK0),sK0))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_517629,c_481910]) ).
tcf(c_573770,plain,
( s_col(sK0,sK3,s(s(sK0,sK1),sK1))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_519197,c_481910]) ).
tcf(c_573771,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK3,ext(sK0,s(sK1,sK0),X0,X1))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_523155,c_481910]) ).
tcf(c_573772,plain,
( s_col(sK0,sK3,s(s(s(sK1,sK0),sK0),sK0))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_529295,c_481910]) ).
tcf(c_573773,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK3,ext(sK1,s(sK0,sK1),X0,X1))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_535610,c_481910]) ).
tcf(c_573774,plain,
( s_col(sK0,sK3,s(s(s(sK0,sK1),sK1),sK1))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_543639,c_481910]) ).
tcf(c_573775,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK3,s(sK1,ext(sK1,sK0,X0,X1)))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_548058,c_481910]) ).
tcf(c_573776,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK3,s(sK0,ext(sK0,sK1,X0,X1)))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_548460,c_481910]) ).
tcf(c_573777,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK3,s(ext(sK0,sK1,X0,X1),sK0))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_499649,c_481910]) ).
tcf(c_573778,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK3,s(ext(sK1,sK0,X0,X1),sK1))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_503147,c_481910]) ).
tcf(c_574047,plain,
( s_col(sK1,sK0,sK1)
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_100,c_481912]) ).
tcf(c_574048,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,sK0,f813(sK1,sK2,X1,X2,X0))
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ~ perpAt(sK1,sK2,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_481912]) ).
tcf(c_574049,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,sK0,g813(X0,X1,sK1,sK2,X2))
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ~ perpAt(X0,X1,X2,sK1,sK2) ),
inference(superposition,[status(thm)],[c_196,c_481912]) ).
tcf(c_574050,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(sK1,sK2,X2,X0,X1)
| s_col(sK1,sK0,f811(sK1,sK2,X0,X1,X2))
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_481912]) ).
tcf(c_574051,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(X0,X1,X2,sK1,sK2)
| s_col(sK1,sK0,g811(X0,X1,sK1,sK2,X2))
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_481912]) ).
tcf(c_574052,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,sK0,insert5(X0,X1,X2,sK1,sK2))
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK1,sK2) ),
inference(superposition,[status(thm)],[c_480519,c_481912]) ).
tcf(c_574054,plain,
( s_col(sK1,sK0,sK0)
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_480443,c_481912]) ).
tcf(c_574055,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK0,ext(sK1,sK2,X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_484594,c_481912]) ).
tcf(c_574056,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK0,ext(sK2,sK1,X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_484758,c_481912]) ).
tcf(c_574057,plain,
( s_col(sK1,sK0,s(sK2,sK1))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_485948,c_481912]) ).
tcf(c_574058,plain,
( s_col(sK1,sK0,s(sK1,sK2))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_486075,c_481912]) ).
tcf(c_574059,plain,
( s_col(sK1,sK0,s(sK2,s(sK1,sK2)))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_553533,c_481912]) ).
tcf(c_574060,plain,
( s_col(sK1,sK0,s(sK1,s(sK2,sK1)))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_553998,c_481912]) ).
tcf(c_574061,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,sK0,ext(X0,sK2,X1,X2))
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ( X0 = sK2 )
| ( ext(X0,sK2,X1,X2) = sK2 )
| ~ sameside(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_481736,c_481912]) ).
tcf(c_574062,plain,
( s_col(sK1,sK0,s(s(sK2,sK1),sK1))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_517629,c_481912]) ).
tcf(c_574063,plain,
( s_col(sK1,sK0,s(s(sK1,sK2),sK2))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_519197,c_481912]) ).
tcf(c_574064,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK0,ext(sK1,s(sK2,sK1),X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_523155,c_481912]) ).
tcf(c_574065,plain,
( s_col(sK1,sK0,s(s(s(sK2,sK1),sK1),sK1))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_529295,c_481912]) ).
tcf(c_574066,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK0,ext(sK2,s(sK1,sK2),X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_535610,c_481912]) ).
tcf(c_574067,plain,
( s_col(sK1,sK0,s(s(s(sK1,sK2),sK2),sK2))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_543639,c_481912]) ).
tcf(c_574068,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK0,s(sK2,ext(sK2,sK1,X0,X1)))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_548058,c_481912]) ).
tcf(c_574069,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK0,s(sK1,ext(sK1,sK2,X0,X1)))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_548460,c_481912]) ).
tcf(c_574070,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK0,s(ext(sK1,sK2,X0,X1),sK1))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_499649,c_481912]) ).
tcf(c_574071,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK0,s(ext(sK2,sK1,X0,X1),sK2))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_503147,c_481912]) ).
tcf(c_574170,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_r(s(s(X0,X1),X1),X0,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_554385,c_187]) ).
tcf(c_574171,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(s(X0,X1),s(s(X0,X1),X1),X2)
| ( s(s(X0,X1),X1) = X0 )
| ~ s_r(X0,s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_554385,c_181]) ).
tcf(c_574172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( s(X0,X1) = X2 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,s(X0,X1))
| ~ s_col(s(s(X0,X1),X1),X0,X3)
| ~ s_col(s(s(X0,X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_554385,c_152]) ).
tcf(c_574173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(X0,X1),X2,X3)
| ( s(X0,X1) = X2 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(s(s(X0,X1),X1),X0,X3)
| ~ s_col(s(s(X0,X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_554385,c_151]) ).
tcf(c_574174,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),s(X0,X1),X2)
| ( s(s(X0,X1),X1) = X0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(s(s(X0,X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_554385,c_148]) ).
tcf(c_574175,plain,
! [X0: $i,X1: $i] :
( sameside(s(s(X0,X1),X1),X0,s(X0,X1))
| s_t(s(s(X0,X1),X1),X0,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_554385,c_134]) ).
tcf(c_574181,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(s(s(X0,X1),X1),X0,X2,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( s(X0,X1) = X2 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(X4,X5,X3)
| ~ s_col(X4,X5,X2)
| ~ s_r(s(X0,X1),X2,X3)
| ~ s_col(s(s(X0,X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_554385,c_200]) ).
tcf(c_574230,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_r(X0,s(X0,X1),s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_554534,c_187]) ).
tcf(c_574231,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(s(s(X0,X1),X1),X0,X2)
| ( s(X0,X1) = X0 )
| ~ s_r(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_554534,c_181]) ).
tcf(c_574232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( X0 = X1 )
| ( s(X2,X3) = X2 )
| ( s(s(X2,X3),X3) = X4 )
| ~ s_col(X0,X1,X4)
| ~ s_col(X2,s(X2,X3),X5)
| ~ s_col(X2,s(X2,X3),X4)
| ~ s_col(X0,X1,s(s(X2,X3),X3)) ),
inference(superposition,[status(thm)],[c_554534,c_152]) ).
tcf(c_574233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(s(X0,X1),X1),X2,X3)
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = X2 )
| ~ s_col(X0,s(X0,X1),X3)
| ~ s_col(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_554534,c_151]) ).
tcf(c_574234,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X0,X1),X1),X2)
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_554534,c_148]) ).
tcf(c_574241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,s(X0,X1),X2,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = X2 )
| ~ s_col(X4,X5,X3)
| ~ s_col(X4,X5,X2)
| ~ s_col(X0,s(X0,X1),X2)
| ~ s_r(s(s(X0,X1),X1),X2,X3) ),
inference(superposition,[status(thm)],[c_554534,c_200]) ).
tcf(c_574308,plain,
( s_col(sK1,sK0,sK1)
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_100,c_481913]) ).
tcf(c_574309,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,sK0,f813(sK1,sK3,X1,X2,X0))
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ~ perpAt(sK1,sK3,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_481913]) ).
tcf(c_574310,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,sK0,g813(X0,X1,sK1,sK3,X2))
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ~ perpAt(X0,X1,X2,sK1,sK3) ),
inference(superposition,[status(thm)],[c_196,c_481913]) ).
tcf(c_574311,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(sK1,sK3,X2,X0,X1)
| s_col(sK1,sK0,f811(sK1,sK3,X0,X1,X2))
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_481913]) ).
tcf(c_574312,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(X0,X1,X2,sK1,sK3)
| s_col(sK1,sK0,g811(X0,X1,sK1,sK3,X2))
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_481913]) ).
tcf(c_574313,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,sK0,insert5(X0,X1,X2,sK1,sK3))
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK1,sK3) ),
inference(superposition,[status(thm)],[c_480519,c_481913]) ).
tcf(c_574315,plain,
( s_col(sK1,sK0,sK0)
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_480444,c_481913]) ).
tcf(c_574316,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK0,ext(sK1,sK3,X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_484594,c_481913]) ).
tcf(c_574317,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK0,ext(sK3,sK1,X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_484758,c_481913]) ).
tcf(c_574318,plain,
( s_col(sK1,sK0,s(sK3,sK1))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_485948,c_481913]) ).
tcf(c_574319,plain,
( s_col(sK1,sK0,s(sK1,sK3))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_486075,c_481913]) ).
tcf(c_574320,plain,
( s_col(sK1,sK0,s(sK3,s(sK1,sK3)))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_553533,c_481913]) ).
tcf(c_574321,plain,
( s_col(sK1,sK0,s(sK1,s(sK3,sK1)))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_553998,c_481913]) ).
tcf(c_574322,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,sK0,ext(X0,sK3,X1,X2))
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ( X0 = sK3 )
| ( ext(X0,sK3,X1,X2) = sK3 )
| ~ sameside(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_481736,c_481913]) ).
tcf(c_574323,plain,
( s_col(sK1,sK0,s(s(sK3,sK1),sK1))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_517629,c_481913]) ).
tcf(c_574324,plain,
( s_col(sK1,sK0,s(s(sK1,sK3),sK3))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_519197,c_481913]) ).
tcf(c_574325,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK0,ext(sK1,s(sK3,sK1),X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_523155,c_481913]) ).
tcf(c_574326,plain,
( s_col(sK1,sK0,s(s(s(sK3,sK1),sK1),sK1))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_529295,c_481913]) ).
tcf(c_574327,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK0,ext(sK3,s(sK1,sK3),X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_535610,c_481913]) ).
tcf(c_574328,plain,
( s_col(sK1,sK0,s(s(s(sK1,sK3),sK3),sK3))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_543639,c_481913]) ).
tcf(c_574329,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK0,s(sK3,ext(sK3,sK1,X0,X1)))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_548058,c_481913]) ).
tcf(c_574330,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK0,s(sK1,ext(sK1,sK3,X0,X1)))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_548460,c_481913]) ).
tcf(c_574331,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK0,s(ext(sK1,sK3,X0,X1),sK1))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_499649,c_481913]) ).
tcf(c_574332,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK0,s(ext(sK3,sK1,X0,X1),sK3))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_503147,c_481913]) ).
tcf(c_574423,plain,
( s_col(sK2,sK1,sK2)
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_100,c_481914]) ).
tcf(c_574424,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,sK1,f813(sK2,sK0,X1,X2,X0))
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ~ perpAt(sK2,sK0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_481914]) ).
tcf(c_574425,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,sK1,g813(X0,X1,sK2,sK0,X2))
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ~ perpAt(X0,X1,X2,sK2,sK0) ),
inference(superposition,[status(thm)],[c_196,c_481914]) ).
tcf(c_574426,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(sK2,sK0,X2,X0,X1)
| s_col(sK2,sK1,f811(sK2,sK0,X0,X1,X2))
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( X0 = X1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_481914]) ).
tcf(c_574427,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(X0,X1,X2,sK2,sK0)
| s_col(sK2,sK1,g811(X0,X1,sK2,sK0,X2))
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( X0 = X1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_481914]) ).
tcf(c_574428,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,sK1,insert5(X0,X1,X2,sK2,sK0))
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_480519,c_481914]) ).
tcf(c_574430,plain,
( s_col(sK2,sK1,sK1)
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_480452,c_481914]) ).
tcf(c_574431,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK1,ext(sK2,sK0,X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_484594,c_481914]) ).
tcf(c_574432,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK1,ext(sK0,sK2,X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_484758,c_481914]) ).
tcf(c_574433,plain,
( s_col(sK2,sK1,s(sK0,sK2))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_485948,c_481914]) ).
tcf(c_574434,plain,
( s_col(sK2,sK1,s(sK2,sK0))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_486075,c_481914]) ).
tcf(c_574435,plain,
( s_col(sK2,sK1,s(sK0,s(sK2,sK0)))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_553533,c_481914]) ).
tcf(c_574436,plain,
( s_col(sK2,sK1,s(sK2,s(sK0,sK2)))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_553998,c_481914]) ).
tcf(c_574437,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,sK1,ext(X0,sK0,X1,X2))
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( X0 = sK0 )
| ( ext(X0,sK0,X1,X2) = sK0 )
| ~ sameside(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_481736,c_481914]) ).
tcf(c_574438,plain,
( s_col(sK2,sK1,s(s(sK0,sK2),sK2))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_517629,c_481914]) ).
tcf(c_574439,plain,
( s_col(sK2,sK1,s(s(sK2,sK0),sK0))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_519197,c_481914]) ).
tcf(c_574440,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK1,ext(sK2,s(sK0,sK2),X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_523155,c_481914]) ).
tcf(c_574441,plain,
( s_col(sK2,sK1,s(s(s(sK0,sK2),sK2),sK2))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_529295,c_481914]) ).
tcf(c_574442,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK1,ext(sK0,s(sK2,sK0),X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_535610,c_481914]) ).
tcf(c_574443,plain,
( s_col(sK2,sK1,s(s(s(sK2,sK0),sK0),sK0))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_543639,c_481914]) ).
tcf(c_574444,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK1,s(sK0,ext(sK0,sK2,X0,X1)))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_548058,c_481914]) ).
tcf(c_574445,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK1,s(sK2,ext(sK2,sK0,X0,X1)))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_548460,c_481914]) ).
tcf(c_574446,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK1,s(ext(sK2,sK0,X0,X1),sK2))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_499649,c_481914]) ).
tcf(c_574447,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK1,s(ext(sK0,sK2,X0,X1),sK0))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_503147,c_481914]) ).
tcf(c_574783,plain,
( s_col(sK3,sK1,sK3)
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_100,c_481915]) ).
tcf(c_574784,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,sK1,f813(sK3,sK0,X1,X2,X0))
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ~ perpAt(sK3,sK0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_481915]) ).
tcf(c_574785,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,sK1,g813(X0,X1,sK3,sK0,X2))
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ~ perpAt(X0,X1,X2,sK3,sK0) ),
inference(superposition,[status(thm)],[c_196,c_481915]) ).
tcf(c_574786,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(sK3,sK0,X2,X0,X1)
| s_col(sK3,sK1,f811(sK3,sK0,X0,X1,X2))
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( X0 = X1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_481915]) ).
tcf(c_574787,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(X0,X1,X2,sK3,sK0)
| s_col(sK3,sK1,g811(X0,X1,sK3,sK0,X2))
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( X0 = X1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_481915]) ).
tcf(c_574788,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,sK1,insert5(X0,X1,X2,sK3,sK0))
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK3,sK0) ),
inference(superposition,[status(thm)],[c_480519,c_481915]) ).
tcf(c_574790,plain,
( s_col(sK3,sK1,sK1)
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_480453,c_481915]) ).
tcf(c_574791,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK1,ext(sK3,sK0,X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_484594,c_481915]) ).
tcf(c_574792,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK1,ext(sK0,sK3,X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_484758,c_481915]) ).
tcf(c_574793,plain,
( s_col(sK3,sK1,s(sK0,sK3))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_485948,c_481915]) ).
tcf(c_574794,plain,
( s_col(sK3,sK1,s(sK3,sK0))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_486075,c_481915]) ).
tcf(c_574795,plain,
( s_col(sK3,sK1,s(sK0,s(sK3,sK0)))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_553533,c_481915]) ).
tcf(c_574796,plain,
( s_col(sK3,sK1,s(sK3,s(sK0,sK3)))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_553998,c_481915]) ).
tcf(c_574797,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,sK1,ext(X0,sK0,X1,X2))
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( X0 = sK0 )
| ( ext(X0,sK0,X1,X2) = sK0 )
| ~ sameside(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_481736,c_481915]) ).
tcf(c_574798,plain,
( s_col(sK3,sK1,s(s(sK0,sK3),sK3))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_517629,c_481915]) ).
tcf(c_574799,plain,
( s_col(sK3,sK1,s(s(sK3,sK0),sK0))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_519197,c_481915]) ).
tcf(c_574800,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK1,ext(sK3,s(sK0,sK3),X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_523155,c_481915]) ).
tcf(c_574801,plain,
( s_col(sK3,sK1,s(s(s(sK0,sK3),sK3),sK3))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_529295,c_481915]) ).
tcf(c_574802,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK1,ext(sK0,s(sK3,sK0),X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_535610,c_481915]) ).
tcf(c_574803,plain,
( s_col(sK3,sK1,s(s(s(sK3,sK0),sK0),sK0))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_543639,c_481915]) ).
tcf(c_574804,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK1,s(sK0,ext(sK0,sK3,X0,X1)))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_548058,c_481915]) ).
tcf(c_574805,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK1,s(sK3,ext(sK3,sK0,X0,X1)))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_548460,c_481915]) ).
tcf(c_574806,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK1,s(ext(sK3,sK0,X0,X1),sK3))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_499649,c_481915]) ).
tcf(c_574807,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK1,s(ext(sK0,sK3,X0,X1),sK0))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_503147,c_481915]) ).
tcf(c_574906,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(s(s(X0,X1),X1),s(X0,X1),X0,X3,s(X0,X1),X2) = s(X0,X1) )
| ~ s_t(X3,s(X0,X1),X0)
| ~ s_t(s(s(X0,X1),X1),X2,X3) ),
inference(superposition,[status(thm)],[c_554924,c_480316]) ).
tcf(c_574907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(s(s(X0,X1),X1),s(X0,X1),X0,X2,X3,X0) = X0 )
| ~ s_t(X2,X3,X0)
| ~ s_t(s(s(X0,X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_554924,c_480254]) ).
tcf(c_574908,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0,X1),X1) = s(X0,X1) )
| ( ext(s(s(X0,X1),X1),s(X0,X1),s(X0,X1),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_554924,c_480013]) ).
tcf(c_574909,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0,X1),X1) = s(X0,X1) )
| ( ext(s(s(X0,X1),X1),s(X0,X1),X0,s(X0,X1)) = X0 ) ),
inference(superposition,[status(thm)],[c_554924,c_480011]) ).
tcf(c_574910,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(s(s(X1,X2),X2),s(X1,X2),X1,X0,s(s(X1,X2),X2)) = s(s(X1,X2),X2) )
| ~ s_t(X0,s(s(X1,X2),X2),X1) ),
inference(superposition,[status(thm)],[c_554924,c_479924]) ).
tcf(c_574911,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(s(s(X0,X1),X1),s(X0,X1),X0,s(X0,X1),X2) = s(X0,X1) )
| ~ s_t(s(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_554924,c_479914]) ).
tcf(c_574912,plain,
! [X0: $i,X1: $i] :
( sameside(X0,s(s(X0,X1),X1),s(X0,X1))
| ( s(s(X0,X1),X1) = X0 )
| ( s(s(X0,X1),X1) = s(X0,X1) ) ),
inference(superposition,[status(thm)],[c_554924,c_238]) ).
tcf(c_574913,plain,
! [X0: $i,X1: $i] :
( sameside(s(X0,X1),s(s(X0,X1),X1),X0)
| ( s(s(X0,X1),X1) = xb )
| ( s(s(X0,X1),X1) = s(X0,X1) ) ),
inference(superposition,[status(thm)],[c_554924,c_237]) ).
tcf(c_574918,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,s(s(X1,X2),X2),X1)
| s_t(s(s(X1,X2),X2),X0,X1)
| ( s(X1,X2) = X1 )
| ~ s_t(X0,s(X1,X2),X1) ),
inference(superposition,[status(thm)],[c_554924,c_147]) ).
tcf(c_574919,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,X2),s(s(X1,X2),X2))
| ( s(X1,X2) = X1 )
| ( s(s(X1,X2),X2) = s(X1,X2) )
| ~ sameside(X0,s(X1,X2),X1) ),
inference(superposition,[status(thm)],[c_554924,c_145]) ).
tcf(c_574920,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,s(X1,X2),X1)
| sameside(X0,s(X1,X2),s(s(X1,X2),X2))
| ( s(X1,X2) = X1 )
| ( s(X1,X2) = X0 )
| ( s(s(X1,X2),X2) = s(X1,X2) )
| ~ s_col(X0,s(X1,X2),s(s(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_554924,c_143]) ).
tcf(c_574922,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(s(s(X1,X2),X2),s(X1,X2),X0)
| ( s(X1,X2) = X1 )
| ( s(X1,X2) = X0 )
| ( s(s(X1,X2),X2) = s(X1,X2) )
| ~ s_t(X0,s(X1,X2),X1) ),
inference(superposition,[status(thm)],[c_554924,c_131]) ).
tcf(c_574923,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,s(X0,X1),X0)
| ( s(X0,X1) = X2 )
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ sameside(s(s(X0,X1),X1),s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_554924,c_125]) ).
tcf(c_574924,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(s(X0,X1),X1),X2,s(X0,X1))
| s_t(s(s(X0,X1),X1),s(X0,X1),X2)
| ~ s_t(s(s(X0,X1),X1),X2,X0) ),
inference(superposition,[status(thm)],[c_554924,c_109]) ).
tcf(c_574925,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,X1),X2,X0)
| s_t(s(X0,X1),X0,X2)
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_t(s(s(X0,X1),X1),s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_554924,c_108]) ).
tcf(c_574926,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(s(X0,X1),X1),X2,X0)
| s_t(s(s(X0,X1),X1),X0,X2)
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_t(s(s(X0,X1),X1),s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_554924,c_107]) ).
tcf(c_574927,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(s(X0,X1),X1),s(X0,X1),X2)
| ( s(X0,X1) = X0 )
| ~ s_t(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_554924,c_81]) ).
tcf(c_574928,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(s(X0,X1),X1),s(X0,X1),X2)
| ~ s_t(s(s(X0,X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_554924,c_80]) ).
tcf(c_574929,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(s(X0,X1),X1),X2,X0)
| ~ s_t(s(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_554924,c_79]) ).
tcf(c_574930,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(s(X0,X1),X1),X0,X2)
| ( s(X0,X1) = X0 )
| ~ s_t(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_554924,c_78]) ).
tcf(c_574931,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,X1),X0,X2)
| ~ s_t(s(s(X0,X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_554924,c_77]) ).
tcf(c_574932,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(s(X0,X1),X1),s(X0,X1),X2)
| ~ s_t(s(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_554924,c_76]) ).
tcf(c_574933,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_t(s(X0,X1),s(s(X0,X1),X1),X0) ),
inference(superposition,[status(thm)],[c_554924,c_75]) ).
tcf(c_575112,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_r(s(X0,X1),X0,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_555168,c_187]) ).
tcf(c_575113,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(s(s(X0,X1),X1),s(X0,X1),X2)
| ( s(X0,X1) = X0 )
| ~ s_r(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_555168,c_181]) ).
tcf(c_575114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( X0 = X1 )
| ( s(X2,X3) = X2 )
| ( s(s(X2,X3),X3) = X4 )
| ~ s_col(X0,X1,X4)
| ~ s_col(s(X2,X3),X2,X5)
| ~ s_col(s(X2,X3),X2,X4)
| ~ s_col(X0,X1,s(s(X2,X3),X3)) ),
inference(superposition,[status(thm)],[c_555168,c_152]) ).
tcf(c_575115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(s(X0,X1),X1),X2,X3)
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = X2 )
| ~ s_col(s(X0,X1),X0,X3)
| ~ s_col(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_555168,c_151]) ).
tcf(c_575116,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),s(s(X0,X1),X1),X2)
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_555168,c_148]) ).
tcf(c_575117,plain,
! [X0: $i,X1: $i] :
( sameside(s(X0,X1),X0,s(s(X0,X1),X1))
| s_t(s(X0,X1),X0,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_555168,c_134]) ).
tcf(c_575123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(s(X0,X1),X0,X2,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = X2 )
| ~ s_col(X4,X5,X3)
| ~ s_col(X4,X5,X2)
| ~ s_col(s(X0,X1),X0,X2)
| ~ s_r(s(s(X0,X1),X1),X2,X3) ),
inference(superposition,[status(thm)],[c_555168,c_200]) ).
tcf(c_575166,plain,
( s_col(sK2,sK0,sK2)
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_100,c_481916]) ).
tcf(c_575167,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,sK0,f813(sK2,sK1,X1,X2,X0))
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ~ perpAt(sK2,sK1,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_481916]) ).
tcf(c_575168,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,sK0,g813(X0,X1,sK2,sK1,X2))
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ~ perpAt(X0,X1,X2,sK2,sK1) ),
inference(superposition,[status(thm)],[c_196,c_481916]) ).
tcf(c_575169,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(sK2,sK1,X2,X0,X1)
| s_col(sK2,sK0,f811(sK2,sK1,X0,X1,X2))
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( X0 = X1 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_481916]) ).
tcf(c_575170,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(X0,X1,X2,sK2,sK1)
| s_col(sK2,sK0,g811(X0,X1,sK2,sK1,X2))
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( X0 = X1 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_481916]) ).
tcf(c_575171,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,sK0,insert5(X0,X1,X2,sK2,sK1))
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK2,sK1) ),
inference(superposition,[status(thm)],[c_480519,c_481916]) ).
tcf(c_575173,plain,
( s_col(sK2,sK0,sK0)
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_480461,c_481916]) ).
tcf(c_575174,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK0,ext(sK2,sK1,X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_484594,c_481916]) ).
tcf(c_575175,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK0,ext(sK1,sK2,X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_484758,c_481916]) ).
tcf(c_575176,plain,
( s_col(sK2,sK0,s(sK1,sK2))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_485948,c_481916]) ).
tcf(c_575177,plain,
( s_col(sK2,sK0,s(sK2,sK1))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_486075,c_481916]) ).
tcf(c_575178,plain,
( s_col(sK2,sK0,s(sK1,s(sK2,sK1)))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_553533,c_481916]) ).
tcf(c_575179,plain,
( s_col(sK2,sK0,s(sK2,s(sK1,sK2)))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_553998,c_481916]) ).
tcf(c_575180,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,sK0,ext(X0,sK1,X1,X2))
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( X0 = sK1 )
| ( ext(X0,sK1,X1,X2) = sK1 )
| ~ sameside(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_481736,c_481916]) ).
tcf(c_575181,plain,
( s_col(sK2,sK0,s(s(sK1,sK2),sK2))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_517629,c_481916]) ).
tcf(c_575182,plain,
( s_col(sK2,sK0,s(s(sK2,sK1),sK1))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_519197,c_481916]) ).
tcf(c_575183,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK0,ext(sK2,s(sK1,sK2),X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_523155,c_481916]) ).
tcf(c_575184,plain,
( s_col(sK2,sK0,s(s(s(sK1,sK2),sK2),sK2))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_529295,c_481916]) ).
tcf(c_575185,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK0,ext(sK1,s(sK2,sK1),X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_535610,c_481916]) ).
tcf(c_575186,plain,
( s_col(sK2,sK0,s(s(s(sK2,sK1),sK1),sK1))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_543639,c_481916]) ).
tcf(c_575187,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK0,s(sK1,ext(sK1,sK2,X0,X1)))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_548058,c_481916]) ).
tcf(c_575188,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK0,s(sK2,ext(sK2,sK1,X0,X1)))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_548460,c_481916]) ).
tcf(c_575189,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK0,s(ext(sK2,sK1,X0,X1),sK2))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_499649,c_481916]) ).
tcf(c_575190,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK0,s(ext(sK1,sK2,X0,X1),sK1))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_503147,c_481916]) ).
tcf(c_575281,plain,
( s_col(sK3,sK0,sK3)
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_100,c_481917]) ).
tcf(c_575282,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,sK0,f813(sK3,sK1,X1,X2,X0))
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ~ perpAt(sK3,sK1,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_481917]) ).
tcf(c_575283,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,sK0,g813(X0,X1,sK3,sK1,X2))
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ~ perpAt(X0,X1,X2,sK3,sK1) ),
inference(superposition,[status(thm)],[c_196,c_481917]) ).
tcf(c_575284,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(sK3,sK1,X2,X0,X1)
| s_col(sK3,sK0,f811(sK3,sK1,X0,X1,X2))
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( X0 = X1 )
| ~ s_col(sK3,sK1,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_481917]) ).
tcf(c_575285,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(X0,X1,X2,sK3,sK1)
| s_col(sK3,sK0,g811(X0,X1,sK3,sK1,X2))
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( X0 = X1 )
| ~ s_col(sK3,sK1,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_481917]) ).
tcf(c_575286,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,sK0,insert5(X0,X1,X2,sK3,sK1))
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK3,sK1) ),
inference(superposition,[status(thm)],[c_480519,c_481917]) ).
tcf(c_575288,plain,
( s_col(sK3,sK0,sK0)
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_480462,c_481917]) ).
tcf(c_575289,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK0,ext(sK3,sK1,X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_484594,c_481917]) ).
tcf(c_575290,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK0,ext(sK1,sK3,X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_484758,c_481917]) ).
tcf(c_575291,plain,
( s_col(sK3,sK0,s(sK1,sK3))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_485948,c_481917]) ).
tcf(c_575292,plain,
( s_col(sK3,sK0,s(sK3,sK1))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_486075,c_481917]) ).
tcf(c_575293,plain,
( s_col(sK3,sK0,s(sK1,s(sK3,sK1)))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_553533,c_481917]) ).
tcf(c_575294,plain,
( s_col(sK3,sK0,s(sK3,s(sK1,sK3)))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_553998,c_481917]) ).
tcf(c_575295,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,sK0,ext(X0,sK1,X1,X2))
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( X0 = sK1 )
| ( ext(X0,sK1,X1,X2) = sK1 )
| ~ sameside(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_481736,c_481917]) ).
tcf(c_575296,plain,
( s_col(sK3,sK0,s(s(sK1,sK3),sK3))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_517629,c_481917]) ).
tcf(c_575297,plain,
( s_col(sK3,sK0,s(s(sK3,sK1),sK1))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_519197,c_481917]) ).
tcf(c_575298,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK0,ext(sK3,s(sK1,sK3),X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_523155,c_481917]) ).
tcf(c_575299,plain,
( s_col(sK3,sK0,s(s(s(sK1,sK3),sK3),sK3))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_529295,c_481917]) ).
tcf(c_575300,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK0,ext(sK1,s(sK3,sK1),X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_535610,c_481917]) ).
tcf(c_575301,plain,
( s_col(sK3,sK0,s(s(s(sK3,sK1),sK1),sK1))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_543639,c_481917]) ).
tcf(c_575302,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK0,s(sK1,ext(sK1,sK3,X0,X1)))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_548058,c_481917]) ).
tcf(c_575303,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK0,s(sK3,ext(sK3,sK1,X0,X1)))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_548460,c_481917]) ).
tcf(c_575304,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK0,s(ext(sK3,sK1,X0,X1),sK3))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_499649,c_481917]) ).
tcf(c_575305,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK0,s(ext(sK1,sK3,X0,X1),sK1))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_503147,c_481917]) ).
tcf(c_575410,plain,
( s_col(sK0,sK1,sK0)
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_100,c_481918]) ).
tcf(c_575411,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,sK1,f813(sK0,sK2,X1,X2,X0))
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ perpAt(sK0,sK2,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_481918]) ).
tcf(c_575412,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,sK1,g813(X0,X1,sK0,sK2,X2))
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ perpAt(X0,X1,X2,sK0,sK2) ),
inference(superposition,[status(thm)],[c_196,c_481918]) ).
tcf(c_575413,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(sK0,sK2,X2,X0,X1)
| s_col(sK0,sK1,f811(sK0,sK2,X0,X1,X2))
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK0,sK2,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_481918]) ).
tcf(c_575414,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(X0,X1,X2,sK0,sK2)
| s_col(sK0,sK1,g811(X0,X1,sK0,sK2,X2))
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK0,sK2,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_481918]) ).
tcf(c_575415,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,sK1,insert5(X0,X1,X2,sK0,sK2))
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK0,sK2) ),
inference(superposition,[status(thm)],[c_480519,c_481918]) ).
tcf(c_575417,plain,
( s_col(sK0,sK1,sK1)
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_480464,c_481918]) ).
tcf(c_575418,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK1,ext(sK0,sK2,X0,X1))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_484594,c_481918]) ).
tcf(c_575419,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK1,ext(sK2,sK0,X0,X1))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_484758,c_481918]) ).
tcf(c_575420,plain,
( s_col(sK0,sK1,s(sK2,sK0))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_485948,c_481918]) ).
tcf(c_575421,plain,
( s_col(sK0,sK1,s(sK0,sK2))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_486075,c_481918]) ).
tcf(c_575422,plain,
( s_col(sK0,sK1,s(sK2,s(sK0,sK2)))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_553533,c_481918]) ).
tcf(c_575423,plain,
( s_col(sK0,sK1,s(sK0,s(sK2,sK0)))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_553998,c_481918]) ).
tcf(c_575424,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,sK1,ext(X0,sK2,X1,X2))
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ( X0 = sK2 )
| ( ext(X0,sK2,X1,X2) = sK2 )
| ~ sameside(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_481736,c_481918]) ).
tcf(c_575425,plain,
( s_col(sK0,sK1,s(s(sK2,sK0),sK0))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_517629,c_481918]) ).
tcf(c_575426,plain,
( s_col(sK0,sK1,s(s(sK0,sK2),sK2))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_519197,c_481918]) ).
tcf(c_575427,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK1,ext(sK0,s(sK2,sK0),X0,X1))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_523155,c_481918]) ).
tcf(c_575428,plain,
( s_col(sK0,sK1,s(s(s(sK2,sK0),sK0),sK0))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_529295,c_481918]) ).
tcf(c_575429,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK1,ext(sK2,s(sK0,sK2),X0,X1))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_535610,c_481918]) ).
tcf(c_575430,plain,
( s_col(sK0,sK1,s(s(s(sK0,sK2),sK2),sK2))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_543639,c_481918]) ).
tcf(c_575431,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK1,s(sK2,ext(sK2,sK0,X0,X1)))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_548058,c_481918]) ).
tcf(c_575432,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK1,s(sK0,ext(sK0,sK2,X0,X1)))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_548460,c_481918]) ).
tcf(c_575433,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK1,s(ext(sK0,sK2,X0,X1),sK0))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_499649,c_481918]) ).
tcf(c_575434,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK1,s(ext(sK2,sK0,X0,X1),sK2))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_503147,c_481918]) ).
tcf(c_575577,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_r(s(s(X0,X1),X1),s(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_555394,c_187]) ).
tcf(c_575578,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X0,s(s(X0,X1),X1),X2)
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_r(s(X0,X1),s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_555394,c_181]) ).
tcf(c_575579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X0 = X2 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X0)
| ~ s_col(s(s(X0,X1),X1),s(X0,X1),X3)
| ~ s_col(s(s(X0,X1),X1),s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_555394,c_152]) ).
tcf(c_575580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X2,X3)
| ( X0 = X2 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(s(s(X0,X1),X1),s(X0,X1),X3)
| ~ s_col(s(s(X0,X1),X1),s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_555394,c_151]) ).
tcf(c_575581,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X0,X2)
| ( s(s(X0,X1),X1) = X0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(s(s(X0,X1),X1),s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_555394,c_148]) ).
tcf(c_575588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(s(s(X0,X1),X1),s(X0,X1),X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X0 = X2 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_r(X0,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(s(s(X0,X1),X1),s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_555394,c_200]) ).
tcf(c_575663,plain,
! [X0: $i,X1: $i] :
( ( s(s(X0,X1),X1) = X0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_r(X0,s(s(X0,X1),X1),s(X0,X1)) ),
inference(superposition,[status(thm)],[c_555529,c_187]) ).
tcf(c_575664,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(s(X0,X1),X0,X2)
| ( s(s(X0,X1),X1) = X0 )
| ~ s_r(s(s(X0,X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_555529,c_181]) ).
tcf(c_575665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( s(X0,X1) = X2 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,s(X0,X1))
| ~ s_col(X0,s(s(X0,X1),X1),X3)
| ~ s_col(X0,s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_555529,c_152]) ).
tcf(c_575666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(X0,X1),X2,X3)
| ( s(X0,X1) = X2 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(X0,s(s(X0,X1),X1),X3)
| ~ s_col(X0,s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_555529,c_151]) ).
tcf(c_575667,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,X1),X2)
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(X0,s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_555529,c_148]) ).
tcf(c_575668,plain,
! [X0: $i,X1: $i] :
( sameside(X0,s(s(X0,X1),X1),s(X0,X1))
| s_t(X0,s(s(X0,X1),X1),s(X0,X1)) ),
inference(superposition,[status(thm)],[c_555529,c_134]) ).
tcf(c_575674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,s(s(X0,X1),X1),X2,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( s(X0,X1) = X2 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(X4,X5,X3)
| ~ s_col(X4,X5,X2)
| ~ s_r(s(X0,X1),X2,X3)
| ~ s_col(X0,s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_555529,c_200]) ).
tcf(c_575811,plain,
( s_col(sK0,sK1,sK0)
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_100,c_481919]) ).
tcf(c_575812,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,sK1,f813(sK0,sK3,X1,X2,X0))
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ perpAt(sK0,sK3,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_481919]) ).
tcf(c_575813,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,sK1,g813(X0,X1,sK0,sK3,X2))
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ perpAt(X0,X1,X2,sK0,sK3) ),
inference(superposition,[status(thm)],[c_196,c_481919]) ).
tcf(c_575814,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(sK0,sK3,X2,X0,X1)
| s_col(sK0,sK1,f811(sK0,sK3,X0,X1,X2))
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK0,sK3,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_481919]) ).
tcf(c_575815,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(X0,X1,X2,sK0,sK3)
| s_col(sK0,sK1,g811(X0,X1,sK0,sK3,X2))
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK0,sK3,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_481919]) ).
tcf(c_575816,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,sK1,insert5(X0,X1,X2,sK0,sK3))
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK0,sK3) ),
inference(superposition,[status(thm)],[c_480519,c_481919]) ).
tcf(c_575818,plain,
( s_col(sK0,sK1,sK1)
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_480467,c_481919]) ).
tcf(c_575819,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK1,ext(sK0,sK3,X0,X1))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_484594,c_481919]) ).
tcf(c_575820,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK1,ext(sK3,sK0,X0,X1))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_484758,c_481919]) ).
tcf(c_575821,plain,
( s_col(sK0,sK1,s(sK3,sK0))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_485948,c_481919]) ).
tcf(c_575822,plain,
( s_col(sK0,sK1,s(sK0,sK3))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_486075,c_481919]) ).
tcf(c_575823,plain,
( s_col(sK0,sK1,s(sK3,s(sK0,sK3)))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_553533,c_481919]) ).
tcf(c_575824,plain,
( s_col(sK0,sK1,s(sK0,s(sK3,sK0)))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_553998,c_481919]) ).
tcf(c_575825,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,sK1,ext(X0,sK3,X1,X2))
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ( X0 = sK3 )
| ( ext(X0,sK3,X1,X2) = sK3 )
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_481736,c_481919]) ).
tcf(c_575826,plain,
( s_col(sK0,sK1,s(s(sK3,sK0),sK0))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_517629,c_481919]) ).
tcf(c_575827,plain,
( s_col(sK0,sK1,s(s(sK0,sK3),sK3))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_519197,c_481919]) ).
tcf(c_575828,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK1,ext(sK0,s(sK3,sK0),X0,X1))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_523155,c_481919]) ).
tcf(c_575829,plain,
( s_col(sK0,sK1,s(s(s(sK3,sK0),sK0),sK0))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_529295,c_481919]) ).
tcf(c_575830,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK1,ext(sK3,s(sK0,sK3),X0,X1))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_535610,c_481919]) ).
tcf(c_575831,plain,
( s_col(sK0,sK1,s(s(s(sK0,sK3),sK3),sK3))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_543639,c_481919]) ).
tcf(c_575832,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK1,s(sK3,ext(sK3,sK0,X0,X1)))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_548058,c_481919]) ).
tcf(c_575833,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK1,s(sK0,ext(sK0,sK3,X0,X1)))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_548460,c_481919]) ).
tcf(c_575834,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK1,s(ext(sK0,sK3,X0,X1),sK0))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_499649,c_481919]) ).
tcf(c_575835,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK1,s(ext(sK3,sK0,X0,X1),sK3))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_503147,c_481919]) ).
tcf(c_575937,plain,
( s_col(sK1,sK2,sK1)
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_100,c_481920]) ).
tcf(c_575938,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,sK2,f813(sK1,sK0,X1,X2,X0))
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ~ perpAt(sK1,sK0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_481920]) ).
tcf(c_575939,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,sK2,g813(X0,X1,sK1,sK0,X2))
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ~ perpAt(X0,X1,X2,sK1,sK0) ),
inference(superposition,[status(thm)],[c_196,c_481920]) ).
tcf(c_575940,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(sK1,sK0,X2,X0,X1)
| s_col(sK1,sK2,f811(sK1,sK0,X0,X1,X2))
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK1,sK0,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_481920]) ).
tcf(c_575941,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(X0,X1,X2,sK1,sK0)
| s_col(sK1,sK2,g811(X0,X1,sK1,sK0,X2))
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK1,sK0,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_481920]) ).
tcf(c_575942,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,sK2,insert5(X0,X1,X2,sK1,sK0))
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK1,sK0) ),
inference(superposition,[status(thm)],[c_480519,c_481920]) ).
tcf(c_575944,plain,
( s_col(sK1,sK2,sK2)
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_480476,c_481920]) ).
tcf(c_575945,plain,
( s_col(sK1,sK2,sK3)
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_480477,c_481920]) ).
tcf(c_575946,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK2,ext(sK1,sK0,X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_484594,c_481920]) ).
tcf(c_575947,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK2,ext(sK0,sK1,X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_484758,c_481920]) ).
tcf(c_575948,plain,
( s_col(sK1,sK2,s(sK0,sK1))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_485948,c_481920]) ).
tcf(c_575949,plain,
( s_col(sK1,sK2,s(sK1,sK0))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_486075,c_481920]) ).
tcf(c_575950,plain,
( s_col(sK1,sK2,s(sK0,s(sK1,sK0)))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_553533,c_481920]) ).
tcf(c_575951,plain,
( s_col(sK1,sK2,s(sK1,s(sK0,sK1)))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_553998,c_481920]) ).
tcf(c_575952,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,sK2,ext(X0,sK0,X1,X2))
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ( X0 = sK0 )
| ( ext(X0,sK0,X1,X2) = sK0 )
| ~ sameside(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_481736,c_481920]) ).
tcf(c_575953,plain,
( s_col(sK1,sK2,s(s(sK0,sK1),sK1))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_517629,c_481920]) ).
tcf(c_575954,plain,
( s_col(sK1,sK2,s(s(sK1,sK0),sK0))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_519197,c_481920]) ).
tcf(c_575955,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK2,ext(sK1,s(sK0,sK1),X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_523155,c_481920]) ).
tcf(c_575956,plain,
( s_col(sK1,sK2,s(s(s(sK0,sK1),sK1),sK1))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_529295,c_481920]) ).
tcf(c_575957,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK2,ext(sK0,s(sK1,sK0),X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_535610,c_481920]) ).
tcf(c_575958,plain,
( s_col(sK1,sK2,s(s(s(sK1,sK0),sK0),sK0))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_543639,c_481920]) ).
tcf(c_575959,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK2,s(sK0,ext(sK0,sK1,X0,X1)))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_548058,c_481920]) ).
tcf(c_575960,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK2,s(sK1,ext(sK1,sK0,X0,X1)))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_548460,c_481920]) ).
tcf(c_575961,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK2,s(ext(sK1,sK0,X0,X1),sK1))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_499649,c_481920]) ).
tcf(c_575962,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK2,s(ext(sK0,sK1,X0,X1),sK0))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_503147,c_481920]) ).
tcf(c_576107,plain,
( s_col(sK1,sK3,sK1)
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_100,c_481921]) ).
tcf(c_576108,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,sK3,f813(sK1,sK0,X1,X2,X0))
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ~ perpAt(sK1,sK0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_481921]) ).
tcf(c_576109,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,sK3,g813(X0,X1,sK1,sK0,X2))
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ~ perpAt(X0,X1,X2,sK1,sK0) ),
inference(superposition,[status(thm)],[c_196,c_481921]) ).
tcf(c_576110,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(sK1,sK0,X2,X0,X1)
| s_col(sK1,sK3,f811(sK1,sK0,X0,X1,X2))
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK1,sK0,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_481921]) ).
tcf(c_576111,plain,
! [X0: $i,X1: $i,X2: $i] :
( perpAt(X0,X1,X2,sK1,sK0)
| s_col(sK1,sK3,g811(X0,X1,sK1,sK0,X2))
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK1,sK0,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_481921]) ).
tcf(c_576112,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,sK3,insert5(X0,X1,X2,sK1,sK0))
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK1,sK0) ),
inference(superposition,[status(thm)],[c_480519,c_481921]) ).
tcf(c_576114,plain,
( s_col(sK1,sK3,sK2)
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_480476,c_481921]) ).
tcf(c_576115,plain,
( s_col(sK1,sK3,sK3)
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_480477,c_481921]) ).
tcf(c_576116,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK3,ext(sK1,sK0,X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_484594,c_481921]) ).
tcf(c_576117,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK3,ext(sK0,sK1,X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_484758,c_481921]) ).
tcf(c_576118,plain,
( s_col(sK1,sK3,s(sK0,sK1))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_485948,c_481921]) ).
tcf(c_576119,plain,
( s_col(sK1,sK3,s(sK1,sK0))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_486075,c_481921]) ).
tcf(c_576120,plain,
( s_col(sK1,sK3,s(sK0,s(sK1,sK0)))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_553533,c_481921]) ).
tcf(c_576121,plain,
( s_col(sK1,sK3,s(sK1,s(sK0,sK1)))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_553998,c_481921]) ).
tcf(c_576122,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,sK3,ext(X0,sK0,X1,X2))
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ( X0 = sK0 )
| ( ext(X0,sK0,X1,X2) = sK0 )
| ~ sameside(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_481736,c_481921]) ).
tcf(c_576123,plain,
( s_col(sK1,sK3,s(s(sK0,sK1),sK1))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_517629,c_481921]) ).
tcf(c_576124,plain,
( s_col(sK1,sK3,s(s(sK1,sK0),sK0))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_519197,c_481921]) ).
tcf(c_576125,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK3,ext(sK1,s(sK0,sK1),X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_523155,c_481921]) ).
tcf(c_576126,plain,
( s_col(sK1,sK3,s(s(s(sK0,sK1),sK1),sK1))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_529295,c_481921]) ).
tcf(c_576127,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK3,ext(sK0,s(sK1,sK0),X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_535610,c_481921]) ).
tcf(c_576128,plain,
( s_col(sK1,sK3,s(s(s(sK1,sK0),sK0),sK0))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_543639,c_481921]) ).
tcf(c_576129,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK3,s(sK0,ext(sK0,sK1,X0,X1)))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_548058,c_481921]) ).
tcf(c_576130,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK3,s(sK1,ext(sK1,sK0,X0,X1)))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_548460,c_481921]) ).
tcf(c_576131,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK3,s(ext(sK1,sK0,X0,X1),sK1))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_499649,c_481921]) ).
tcf(c_576132,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK3,s(ext(sK0,sK1,X0,X1),sK0))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_503147,c_481921]) ).
tcf(c_576532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(s(X0,X1),ext(X1,s(X0,X1),X2,X3),X0),
inference(superposition,[status(thm)],[c_161,c_558031]) ).
tcf(c_576535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(s(X1,X0),X0,X2,X3) = X1 )
| ( ext(s(X1,X0),X0,X2,X3) = X0 )
| ~ s_r(X0,ext(s(X1,X0),X0,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_558031,c_187]) ).
tcf(c_576536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X0,X1,X4)
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ~ s_r(ext(s(X0,X1),X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_558031,c_181]) ).
tcf(c_576537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X6,X7,X5)
| ( X6 = X7 )
| ( X1 = X4 )
| ( ext(s(X1,X0),X0,X2,X3) = X0 )
| ~ s_col(X6,X7,X4)
| ~ s_col(X6,X7,X1)
| ~ s_col(X0,ext(s(X1,X0),X0,X2,X3),X5)
| ~ s_col(X0,ext(s(X1,X0),X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_558031,c_152]) ).
tcf(c_576538,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X1,X4,X5)
| ( X1 = X4 )
| ( ext(s(X1,X0),X0,X2,X3) = X0 )
| ~ s_col(X0,ext(s(X1,X0),X0,X2,X3),X5)
| ~ s_col(X0,ext(s(X1,X0),X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_558031,c_151]) ).
tcf(c_576539,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( ext(s(X1,X0),X0,X2,X3) = X0 )
| ~ s_col(X0,ext(s(X1,X0),X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_558031,c_148]) ).
tcf(c_576540,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,ext(s(X1,X0),X0,X2,X3),X1)
| s_t(X0,ext(s(X1,X0),X0,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_558031,c_134]) ).
tcf(c_576541,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,X1,ext(s(X1,X0),X0,X2,X3)),
inference(superposition,[status(thm)],[c_558031,c_98]) ).
tcf(c_576542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(ext(s(X0,X1),X1,X2,X3),X1,X0),
inference(superposition,[status(thm)],[c_558031,c_97]) ).
tcf(c_576543,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,ext(s(X0,X1),X1,X2,X3),X1),
inference(superposition,[status(thm)],[c_558031,c_96]) ).
tcf(c_576546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(X0,ext(s(X1,X0),X0,X2,X3),X4,X5,X6)
| ( X5 = X6 )
| ( X4 = X7 )
| ( X1 = X4 )
| ( ext(s(X1,X0),X0,X2,X3) = X0 )
| ~ s_r(X1,X4,X7)
| ~ s_col(X5,X6,X7)
| ~ s_col(X5,X6,X4)
| ~ s_col(X0,ext(s(X1,X0),X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_558031,c_200]) ).
tcf(c_576582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(ext(X0,s(X1,X0),X2,X3),X1,s(X1,X0)),
inference(superposition,[status(thm)],[c_161,c_558032]) ).
tcf(c_576585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_r(ext(s(X0,X1),X1,X2,X3),X0,X1) ),
inference(superposition,[status(thm)],[c_558032,c_187]) ).
tcf(c_576586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X1,ext(s(X0,X1),X1,X2,X3),X4)
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_r(X0,ext(s(X0,X1),X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_558032,c_181]) ).
tcf(c_576587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X6,X7,X5)
| ( X6 = X7 )
| ( X1 = X4 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(X6,X7,X4)
| ~ s_col(X6,X7,X1)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X0,X5)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_558032,c_152]) ).
tcf(c_576588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X1,X4,X5)
| ( X1 = X4 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X0,X5)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_558032,c_151]) ).
tcf(c_576589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(s(X0,X1),X1,X2,X3),X1,X4)
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_558032,c_148]) ).
tcf(c_576590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(ext(s(X0,X1),X1,X2,X3),X0,X1)
| s_t(ext(s(X0,X1),X1,X2,X3),X0,X1) ),
inference(superposition,[status(thm)],[c_558032,c_134]) ).
tcf(c_576596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(ext(s(X0,X1),X1,X2,X3),X0,X4,X5,X6)
| ( X5 = X6 )
| ( X4 = X7 )
| ( X1 = X4 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_r(X1,X4,X7)
| ~ s_col(X5,X6,X7)
| ~ s_col(X5,X6,X4)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_558032,c_200]) ).
tcf(c_576597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ext(s(ip(X0,X1,X2,X3,X4),X1),X1,X5,X6),ip(X0,X1,X2,X3,X4),X3)
| sameside(ext(s(ip(X0,X1,X2,X3,X4),X1),X1,X5,X6),ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( ext(s(ip(X0,X1,X2,X3,X4),X1),X1,X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558032,c_481625]) ).
tcf(c_576598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ext(s(ip(X0,X1,X2,X3,X4),X4),X4,X5,X6),ip(X0,X1,X2,X3,X4),X4)
| sameside(ext(s(ip(X0,X1,X2,X3,X4),X4),X4,X5,X6),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( ext(s(ip(X0,X1,X2,X3,X4),X4),X4,X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558032,c_481626]) ).
tcf(c_576599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ext(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3),X4,X5),X0,X1)
| sameside(ext(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3),X4,X5),X0,ext(X1,X0,X2,X3))
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( ext(s(X0,ext(X1,X0,X2,X3)),ext(X1,X0,X2,X3),X4,X5) = X0 ) ),
inference(superposition,[status(thm)],[c_558032,c_481634]) ).
tcf(c_576600,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(ext(s(crossbar(X0,X1,X2,X4,X5,X3),X3),X3,X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X3)
| sameside(ext(s(crossbar(X0,X1,X2,X4,X5,X3),X3),X3,X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( ext(s(crossbar(X0,X1,X2,X4,X5,X3),X3),X3,X6,X7) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558032,c_481629]) ).
tcf(c_576601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(ext(s(crossbar(X0,X1,X2,X4,X5,X3),X1),X1,X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X5)
| sameside(ext(s(crossbar(X0,X1,X2,X4,X5,X3),X1),X1,X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( ext(s(crossbar(X0,X1,X2,X4,X5,X3),X1),X1,X6,X7) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558032,c_481630]) ).
tcf(c_576681,plain,
! [X0: $i] :
( s_col(sK2,sK0,X0)
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_100,c_481996]) ).
tcf(c_576682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK2,f813(sK0,sK1,X1,X2,X0),X3)
| ( sK0 = sK1 )
| ( f813(sK0,sK1,X1,X2,X0) = sK2 )
| ~ s_col(sK0,sK1,X3)
| ~ perpAt(sK0,sK1,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_481996]) ).
tcf(c_576683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK2,g813(X0,X1,sK0,sK1,X2),X3)
| ( sK0 = sK1 )
| ( g813(X0,X1,sK0,sK1,X2) = sK2 )
| ~ s_col(sK0,sK1,X3)
| ~ perpAt(X0,X1,X2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_196,c_481996]) ).
tcf(c_576685,plain,
! [X0: $i] :
( s_col(sK2,sK3,X0)
| ( sK2 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_5022,c_481996]) ).
tcf(c_576686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK0,sK1,X2,X0,X1)
| s_col(sK2,f811(sK0,sK1,X0,X1,X2),X3)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( f811(sK0,sK1,X0,X1,X2) = sK2 )
| ~ s_col(sK0,sK1,X3)
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_481996]) ).
tcf(c_576687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(X0,X1,X2,sK0,sK1)
| s_col(sK2,g811(X0,X1,sK0,sK1,X2),X3)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( g811(X0,X1,sK0,sK1,X2) = sK2 )
| ~ s_col(sK0,sK1,X3)
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_481996]) ).
tcf(c_576688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK2,insert5(X0,X1,X2,sK0,sK1),X3)
| ( sK0 = sK1 )
| ( insert5(X0,X1,X2,sK0,sK1) = sK2 )
| ~ s_col(sK0,sK1,X3)
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK0,sK1) ),
inference(superposition,[status(thm)],[c_480519,c_481996]) ).
tcf(c_576689,plain,
! [X0: $i] :
( s_col(sK2,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_7182,c_481996]) ).
tcf(c_576690,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,ext(sK0,sK1,X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(sK0,sK1,X1,X2) = sK2 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_484594,c_481996]) ).
tcf(c_576691,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,ext(sK1,sK0,X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(sK1,sK0,X1,X2) = sK2 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_484758,c_481996]) ).
tcf(c_576692,plain,
! [X0: $i] :
( s_col(sK2,s(sK1,sK0),X0)
| ( sK0 = sK1 )
| ( s(sK1,sK0) = sK2 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_485948,c_481996]) ).
tcf(c_576693,plain,
! [X0: $i] :
( s_col(sK2,s(sK0,sK1),X0)
| ( sK0 = sK1 )
| ( s(sK0,sK1) = sK2 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_486075,c_481996]) ).
tcf(c_576694,plain,
! [X0: $i] :
( s_col(sK2,s(sK1,s(sK0,sK1)),X0)
| ( sK0 = sK1 )
| ( s(sK1,s(sK0,sK1)) = sK2 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_553533,c_481996]) ).
tcf(c_576695,plain,
! [X0: $i] :
( s_col(sK2,s(sK0,s(sK1,sK0)),X0)
| ( sK0 = sK1 )
| ( s(sK0,s(sK1,sK0)) = sK2 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_553998,c_481996]) ).
tcf(c_576696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK2,ext(X1,sK1,X2,X3),X0)
| ( sK0 = sK1 )
| ( X1 = sK1 )
| ( ext(X1,sK1,X2,X3) = sK2 )
| ( ext(X1,sK1,X2,X3) = sK1 )
| ~ sameside(sK0,sK1,X1)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_481736,c_481996]) ).
tcf(c_576697,plain,
! [X0: $i] :
( s_col(sK2,s(s(sK1,sK0),sK0),X0)
| ( sK0 = sK1 )
| ( s(s(sK1,sK0),sK0) = sK2 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_517629,c_481996]) ).
tcf(c_576698,plain,
! [X0: $i] :
( s_col(sK2,s(s(sK0,sK1),sK1),X0)
| ( sK0 = sK1 )
| ( s(s(sK0,sK1),sK1) = sK2 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_519197,c_481996]) ).
tcf(c_576699,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,ext(sK0,s(sK1,sK0),X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(sK0,s(sK1,sK0),X1,X2) = sK2 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_523155,c_481996]) ).
tcf(c_576700,plain,
! [X0: $i] :
( s_col(sK2,s(s(s(sK1,sK0),sK0),sK0),X0)
| ( sK0 = sK1 )
| ( s(s(s(sK1,sK0),sK0),sK0) = sK2 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_529295,c_481996]) ).
tcf(c_576701,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,ext(sK1,s(sK0,sK1),X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(sK1,s(sK0,sK1),X1,X2) = sK2 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_535610,c_481996]) ).
tcf(c_576702,plain,
! [X0: $i] :
( s_col(sK2,s(s(s(sK0,sK1),sK1),sK1),X0)
| ( sK0 = sK1 )
| ( s(s(s(sK0,sK1),sK1),sK1) = sK2 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_543639,c_481996]) ).
tcf(c_576703,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,s(sK1,ext(sK1,sK0,X1,X2)),X0)
| ( sK0 = sK1 )
| ( s(sK1,ext(sK1,sK0,X1,X2)) = sK2 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_548058,c_481996]) ).
tcf(c_576704,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,s(sK0,ext(sK0,sK1,X1,X2)),X0)
| ( sK0 = sK1 )
| ( s(sK0,ext(sK0,sK1,X1,X2)) = sK2 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_548460,c_481996]) ).
tcf(c_576705,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,s(ext(sK0,sK1,X1,X2),sK0),X0)
| ( sK0 = sK1 )
| ( s(ext(sK0,sK1,X1,X2),sK0) = sK2 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_499649,c_481996]) ).
tcf(c_576706,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,s(ext(sK1,sK0,X1,X2),sK1),X0)
| ( sK0 = sK1 )
| ( s(ext(sK1,sK0,X1,X2),sK1) = sK2 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_503147,c_481996]) ).
tcf(c_577027,plain,
! [X0: $i] :
( s_col(sK3,sK0,X0)
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_100,c_481997]) ).
tcf(c_577028,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK3,f813(sK0,sK1,X1,X2,X0),X3)
| ( sK0 = sK1 )
| ( f813(sK0,sK1,X1,X2,X0) = sK3 )
| ~ s_col(sK0,sK1,X3)
| ~ perpAt(sK0,sK1,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_481997]) ).
tcf(c_577029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK3,g813(X0,X1,sK0,sK1,X2),X3)
| ( sK0 = sK1 )
| ( g813(X0,X1,sK0,sK1,X2) = sK3 )
| ~ s_col(sK0,sK1,X3)
| ~ perpAt(X0,X1,X2,sK0,sK1) ),
inference(superposition,[status(thm)],[c_196,c_481997]) ).
tcf(c_577030,plain,
! [X0: $i] :
( s_col(sK3,sK2,X0)
| ( sK2 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_5023,c_481997]) ).
tcf(c_577032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK0,sK1,X2,X0,X1)
| s_col(sK3,f811(sK0,sK1,X0,X1,X2),X3)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( f811(sK0,sK1,X0,X1,X2) = sK3 )
| ~ s_col(sK0,sK1,X3)
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_481997]) ).
tcf(c_577033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(X0,X1,X2,sK0,sK1)
| s_col(sK3,g811(X0,X1,sK0,sK1,X2),X3)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( g811(X0,X1,sK0,sK1,X2) = sK3 )
| ~ s_col(sK0,sK1,X3)
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_481997]) ).
tcf(c_577034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK3,insert5(X0,X1,X2,sK0,sK1),X3)
| ( sK0 = sK1 )
| ( insert5(X0,X1,X2,sK0,sK1) = sK3 )
| ~ s_col(sK0,sK1,X3)
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK0,sK1) ),
inference(superposition,[status(thm)],[c_480519,c_481997]) ).
tcf(c_577035,plain,
! [X0: $i] :
( s_col(sK3,sK1,X0)
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_7182,c_481997]) ).
tcf(c_577036,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,ext(sK0,sK1,X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(sK0,sK1,X1,X2) = sK3 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_484594,c_481997]) ).
tcf(c_577037,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,ext(sK1,sK0,X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(sK1,sK0,X1,X2) = sK3 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_484758,c_481997]) ).
tcf(c_577038,plain,
! [X0: $i] :
( s_col(sK3,s(sK1,sK0),X0)
| ( sK0 = sK1 )
| ( s(sK1,sK0) = sK3 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_485948,c_481997]) ).
tcf(c_577039,plain,
! [X0: $i] :
( s_col(sK3,s(sK0,sK1),X0)
| ( sK0 = sK1 )
| ( s(sK0,sK1) = sK3 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_486075,c_481997]) ).
tcf(c_577040,plain,
! [X0: $i] :
( s_col(sK3,s(sK1,s(sK0,sK1)),X0)
| ( sK0 = sK1 )
| ( s(sK1,s(sK0,sK1)) = sK3 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_553533,c_481997]) ).
tcf(c_577041,plain,
! [X0: $i] :
( s_col(sK3,s(sK0,s(sK1,sK0)),X0)
| ( sK0 = sK1 )
| ( s(sK0,s(sK1,sK0)) = sK3 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_553998,c_481997]) ).
tcf(c_577042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK3,ext(X1,sK1,X2,X3),X0)
| ( sK0 = sK1 )
| ( X1 = sK1 )
| ( ext(X1,sK1,X2,X3) = sK3 )
| ( ext(X1,sK1,X2,X3) = sK1 )
| ~ sameside(sK0,sK1,X1)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_481736,c_481997]) ).
tcf(c_577043,plain,
! [X0: $i] :
( s_col(sK3,s(s(sK1,sK0),sK0),X0)
| ( sK0 = sK1 )
| ( s(s(sK1,sK0),sK0) = sK3 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_517629,c_481997]) ).
tcf(c_577044,plain,
! [X0: $i] :
( s_col(sK3,s(s(sK0,sK1),sK1),X0)
| ( sK0 = sK1 )
| ( s(s(sK0,sK1),sK1) = sK3 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_519197,c_481997]) ).
tcf(c_577045,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,ext(sK0,s(sK1,sK0),X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(sK0,s(sK1,sK0),X1,X2) = sK3 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_523155,c_481997]) ).
tcf(c_577046,plain,
! [X0: $i] :
( s_col(sK3,s(s(s(sK1,sK0),sK0),sK0),X0)
| ( sK0 = sK1 )
| ( s(s(s(sK1,sK0),sK0),sK0) = sK3 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_529295,c_481997]) ).
tcf(c_577047,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,ext(sK1,s(sK0,sK1),X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(sK1,s(sK0,sK1),X1,X2) = sK3 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_535610,c_481997]) ).
tcf(c_577048,plain,
! [X0: $i] :
( s_col(sK3,s(s(s(sK0,sK1),sK1),sK1),X0)
| ( sK0 = sK1 )
| ( s(s(s(sK0,sK1),sK1),sK1) = sK3 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_543639,c_481997]) ).
tcf(c_577049,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,s(sK1,ext(sK1,sK0,X1,X2)),X0)
| ( sK0 = sK1 )
| ( s(sK1,ext(sK1,sK0,X1,X2)) = sK3 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_548058,c_481997]) ).
tcf(c_577050,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,s(sK0,ext(sK0,sK1,X1,X2)),X0)
| ( sK0 = sK1 )
| ( s(sK0,ext(sK0,sK1,X1,X2)) = sK3 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_548460,c_481997]) ).
tcf(c_577051,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,s(ext(sK0,sK1,X1,X2),sK0),X0)
| ( sK0 = sK1 )
| ( s(ext(sK0,sK1,X1,X2),sK0) = sK3 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_499649,c_481997]) ).
tcf(c_577052,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,s(ext(sK1,sK0,X1,X2),sK1),X0)
| ( sK0 = sK1 )
| ( s(ext(sK1,sK0,X1,X2),sK1) = sK3 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_503147,c_481997]) ).
tcf(c_577344,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( X0 = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_100,c_481998]) ).
tcf(c_577345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X1,f813(X0,X1,X3,X4,X2),X5)
| ( X0 = X1 )
| ( f813(X0,X1,X3,X4,X2) = X1 )
| ~ s_col(X0,X1,X5)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(superposition,[status(thm)],[c_195,c_481998]) ).
tcf(c_577346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,g813(X0,X1,X3,X4,X2),X5)
| ( X3 = X4 )
| ( g813(X0,X1,X3,X4,X2) = X4 )
| ~ s_col(X3,X4,X5)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(superposition,[status(thm)],[c_196,c_481998]) ).
tcf(c_577347,plain,
! [X0: $i] :
( s_col(sK1,sK2,X0)
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_5023,c_481998]) ).
tcf(c_577348,plain,
! [X0: $i] :
( s_col(sK1,sK3,X0)
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_5022,c_481998]) ).
tcf(c_577349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,X1,X2,X4,X5)
| s_col(X1,f811(X0,X1,X4,X5,X2),X3)
| ( X4 = X5 )
| ( X0 = X1 )
| ( f811(X0,X1,X4,X5,X2) = X1 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_481998]) ).
tcf(c_577350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,X1,X2,X3,X4)
| s_col(X4,g811(X0,X1,X3,X4,X2),X5)
| ( X3 = X4 )
| ( X0 = X1 )
| ( g811(X0,X1,X3,X4,X2) = X4 )
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_481998]) ).
tcf(c_577351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X3,insert5(X0,X1,X4,X2,X3),X5)
| ( X2 = X3 )
| ( insert5(X0,X1,X4,X2,X3) = X3 )
| ~ s_col(X2,X3,X5)
| ~ s_col(X0,X1,X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_480519,c_481998]) ).
tcf(c_577353,plain,
! [X0: $i] :
( s_col(sK2,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_480443,c_481998]) ).
tcf(c_577354,plain,
! [X0: $i] :
( s_col(sK3,sK0,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_480444,c_481998]) ).
tcf(c_577355,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_480452,c_481998]) ).
tcf(c_577356,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_480453,c_481998]) ).
tcf(c_577357,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_480461,c_481998]) ).
tcf(c_577358,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_480462,c_481998]) ).
tcf(c_577359,plain,
! [X0: $i] :
( s_col(sK2,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_480464,c_481998]) ).
tcf(c_577360,plain,
! [X0: $i] :
( s_col(sK3,sK1,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_480467,c_481998]) ).
tcf(c_577361,plain,
! [X0: $i] :
( s_col(sK0,sK2,X0)
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_480476,c_481998]) ).
tcf(c_577362,plain,
! [X0: $i] :
( s_col(sK0,sK3,X0)
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_480477,c_481998]) ).
tcf(c_577363,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,ext(X0,X1,X3,X4),X2)
| ( X0 = X1 )
| ( ext(X0,X1,X3,X4) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_484594,c_481998]) ).
tcf(c_577364,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_col(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_484605,c_481998]) ).
tcf(c_577365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_484709,c_481998]) ).
tcf(c_577366,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,X1,X2,X3),X1,X4)
| ( ext(X0,X1,X2,X3) = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_484720,c_481998]) ).
tcf(c_577367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,ext(X1,X0,X3,X4),X2)
| ( X0 = X1 )
| ( ext(X1,X0,X3,X4) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_484758,c_481998]) ).
tcf(c_577368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X1,X0,X2,X3),X1,X4)
| ( ext(X1,X0,X2,X3) = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_col(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_484747,c_481998]) ).
tcf(c_577369,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X1,X2)
| ( s(X0,X1) = X1 )
| ( s(X0,X1) = X0 )
| ~ s_col(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_485946,c_481998]) ).
tcf(c_577370,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( X0 = X1 )
| ( s(X0,X1) = X1 )
| ~ s_col(s(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_485947,c_481998]) ).
tcf(c_577371,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,s(X1,X0),X2)
| ( X0 = X1 )
| ( s(X1,X0) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_485948,c_481998]) ).
tcf(c_577372,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,s(X0,X1),X2)
| ( X0 = X1 )
| ( s(X0,X1) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486075,c_481998]) ).
tcf(c_577373,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ( s(X0,X1) = X0 )
| ~ s_col(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_486077,c_481998]) ).
tcf(c_577374,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X1,X0),X1,X2)
| ( s(X1,X0) = X1 )
| ( s(X1,X0) = X0 )
| ~ s_col(X0,s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_486076,c_481998]) ).
tcf(c_577375,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X1,X2)
| ( s(X0,s(X1,X0)) = X1 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(X0,s(X0,s(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_553531,c_481998]) ).
tcf(c_577376,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(s(X0,s(X1,X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_553532,c_481998]) ).
tcf(c_577377,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,s(X1,s(X0,X1)),X2)
| ( X0 = X1 )
| ( s(X1,s(X0,X1)) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553533,c_481998]) ).
tcf(c_577378,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X0,X2)
| ( s(s(X0,X1),X1) = X0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(s(X0,X1),s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_553989,c_481998]) ).
tcf(c_577379,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,s(X0,s(X1,X0)),X2)
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_553998,c_481998]) ).
tcf(c_577380,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(s(X0,s(X1,X0)),X0,X2) ),
inference(superposition,[status(thm)],[c_553999,c_481998]) ).
tcf(c_577381,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X1,s(X0,X1)),X1,X2)
| ( s(X1,s(X0,X1)) = X1 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(X0,s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_554000,c_481998]) ).
tcf(c_577382,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,X1),X2)
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(s(s(X0,X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_554385,c_481998]) ).
tcf(c_577383,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),s(s(X0,X1),X1),X2)
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_554534,c_481998]) ).
tcf(c_577384,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X0,X1),X1),X2)
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_555168,c_481998]) ).
tcf(c_577385,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X0,X2)
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(s(s(X0,X1),X1),s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_555394,c_481998]) ).
tcf(c_577386,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),s(X0,X1),X2)
| ( s(s(X0,X1),X1) = X0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(X0,s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_555529,c_481998]) ).
tcf(c_577387,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(s(X1,X0),X0,X2,X3),X1,X4)
| ( ext(s(X1,X0),X0,X2,X3) = X1 )
| ( ext(s(X1,X0),X0,X2,X3) = X0 )
| ~ s_col(X0,ext(s(X1,X0),X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_558031,c_481998]) ).
tcf(c_577388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_558032,c_481998]) ).
tcf(c_577389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X1 )
| ~ s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481511,c_481998]) ).
tcf(c_577390,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X1,ext(X3,X1,X4,X5),X2)
| ( X1 = X3 )
| ( X0 = X1 )
| ( ext(X3,X1,X4,X5) = X1 )
| ~ sameside(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_481736,c_481998]) ).
tcf(c_577391,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X1,X2)
| ( s(s(X0,X1),X1) = X1 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(X0,s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_517627,c_481998]) ).
tcf(c_577392,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = X1 )
| ~ s_col(s(s(X0,X1),X1),X1,X2) ),
inference(superposition,[status(thm)],[c_517628,c_481998]) ).
tcf(c_577393,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,s(s(X1,X0),X0),X2)
| ( X0 = X1 )
| ( s(s(X1,X0),X0) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_517629,c_481998]) ).
tcf(c_577394,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X1,s(X0,X1)),s(X0,X1),X2)
| ( s(X1,s(X0,X1)) = X0 )
| ( s(X1,s(X0,X1)) = s(X0,X1) )
| ~ s_col(X0,s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_519188,c_481998]) ).
tcf(c_577395,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,s(s(X0,X1),X1),X2)
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_519197,c_481998]) ).
tcf(c_577396,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(s(s(X0,X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_519198,c_481998]) ).
tcf(c_577397,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X1,X0),X0),X1,X2)
| ( s(s(X1,X0),X0) = X1 )
| ( s(s(X1,X0),X0) = X0 )
| ~ s_col(X0,s(s(X1,X0),X0),X2) ),
inference(superposition,[status(thm)],[c_519199,c_481998]) ).
tcf(c_577398,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X1,X0),X1,X2)
| ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = s(X1,X0) )
| ~ s_col(s(X0,s(X1,X0)),s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_519474,c_481998]) ).
tcf(c_577399,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(X0,X1)),X2)
| ( s(X0,X1) = X0 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_520000,c_481998]) ).
tcf(c_577400,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),s(X1,s(X0,X1)),X2)
| ( s(X0,X1) = X0 )
| ( s(X1,s(X0,X1)) = s(X0,X1) )
| ~ s_col(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_520925,c_481998]) ).
tcf(c_577401,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,s(X1,X0),X2)
| ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(s(X0,s(X1,X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_521029,c_481998]) ).
tcf(c_577402,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X1,s(X0,X1)),X0,X2)
| ( s(X1,s(X0,X1)) = X0 )
| ( s(X1,s(X0,X1)) = s(X0,X1) )
| ~ s_col(s(X0,X1),s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_522349,c_481998]) ).
tcf(c_577403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X1,s(X0,X1),X2,X3),X1,X4)
| ( ext(X1,s(X0,X1),X2,X3) = X1 )
| ( ext(X1,s(X0,X1),X2,X3) = X0 )
| ~ s_col(X0,ext(X1,s(X0,X1),X2,X3),X4) ),
inference(superposition,[status(thm)],[c_523153,c_481998]) ).
tcf(c_577404,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_523154,c_481998]) ).
tcf(c_577405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,ext(X0,s(X1,X0),X3,X4),X2)
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X3,X4) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_523155,c_481998]) ).
tcf(c_577406,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(s(X0,X1),X1),X1),X1,X2)
| ( s(s(s(X0,X1),X1),X1) = X1 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(X0,s(s(s(X0,X1),X1),X1),X2) ),
inference(superposition,[status(thm)],[c_529293,c_481998]) ).
tcf(c_577407,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = X1 )
| ~ s_col(s(s(s(X0,X1),X1),X1),X1,X2) ),
inference(superposition,[status(thm)],[c_529294,c_481998]) ).
tcf(c_577408,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,s(s(s(X1,X0),X0),X0),X2)
| ( X0 = X1 )
| ( s(s(s(X1,X0),X0),X0) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_529295,c_481998]) ).
tcf(c_577409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,ext(X1,s(X0,X1),X3,X4),X2)
| ( X0 = X1 )
| ( ext(X1,s(X0,X1),X3,X4) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_535610,c_481998]) ).
tcf(c_577410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_535611,c_481998]) ).
tcf(c_577411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,s(X1,X0),X2,X3),X1,X4)
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(X0,ext(X0,s(X1,X0),X2,X3),X4) ),
inference(superposition,[status(thm)],[c_535612,c_481998]) ).
tcf(c_577412,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,s(s(s(X0,X1),X1),X1),X2)
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_543639,c_481998]) ).
tcf(c_577413,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(s(s(s(X0,X1),X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_543640,c_481998]) ).
tcf(c_577414,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(s(X1,X0),X0),X0),X1,X2)
| ( s(s(s(X1,X0),X0),X0) = X1 )
| ( s(s(s(X1,X0),X0),X0) = X0 )
| ~ s_col(X0,s(s(s(X1,X0),X0),X0),X2) ),
inference(superposition,[status(thm)],[c_543641,c_481998]) ).
tcf(c_577415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(X0,ext(X0,X1,X2,X3)),X1,X4)
| ( s(X0,ext(X0,X1,X2,X3)) = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(X0,s(X0,ext(X0,X1,X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_548056,c_481998]) ).
tcf(c_577416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X1 )
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X1,X4) ),
inference(superposition,[status(thm)],[c_548057,c_481998]) ).
tcf(c_577417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,s(X1,ext(X1,X0,X3,X4)),X2)
| ( X0 = X1 )
| ( s(X1,ext(X1,X0,X3,X4)) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548058,c_481998]) ).
tcf(c_577418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,s(X0,ext(X0,X1,X3,X4)),X2)
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X3,X4)) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_548460,c_481998]) ).
tcf(c_577419,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X0,X4) ),
inference(superposition,[status(thm)],[c_548461,c_481998]) ).
tcf(c_577420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(X1,ext(X1,X0,X2,X3)),X1,X4)
| ( s(X1,ext(X1,X0,X2,X3)) = X1 )
| ( s(X1,ext(X1,X0,X2,X3)) = X0 )
| ~ s_col(X0,s(X1,ext(X1,X0,X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_548462,c_481998]) ).
tcf(c_577421,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(ext(X1,X0,X2,X3),X1),X1,X4)
| ( s(ext(X1,X0,X2,X3),X1) = X1 )
| ( s(ext(X1,X0,X2,X3),X1) = X0 )
| ~ s_col(X0,s(ext(X1,X0,X2,X3),X1),X4) ),
inference(superposition,[status(thm)],[c_499647,c_481998]) ).
tcf(c_577422,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X0,X4) ),
inference(superposition,[status(thm)],[c_499648,c_481998]) ).
tcf(c_577423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,s(ext(X0,X1,X3,X4),X0),X2)
| ( X0 = X1 )
| ( s(ext(X0,X1,X3,X4),X0) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_499649,c_481998]) ).
tcf(c_577424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,s(ext(X1,X0,X3,X4),X1),X2)
| ( X0 = X1 )
| ( s(ext(X1,X0,X3,X4),X1) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_503147,c_481998]) ).
tcf(c_577425,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X1,X4) ),
inference(superposition,[status(thm)],[c_503148,c_481998]) ).
tcf(c_577426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(ext(X0,X1,X2,X3),X0),X1,X4)
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(X0,s(ext(X0,X1,X2,X3),X0),X4) ),
inference(superposition,[status(thm)],[c_503149,c_481998]) ).
tcf(c_577917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,s(X0,X1),ext(X1,s(X0,X1),X2,X3)),
inference(superposition,[status(thm)],[c_161,c_558033]) ).
tcf(c_577919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,ext(s(X0,X1),X1,X3,X4),X2)
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X3,X4) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558033,c_481998]) ).
tcf(c_577921,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ~ s_r(X0,X1,ext(s(X0,X1),X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_558033,c_187]) ).
tcf(c_577922,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(ext(s(X1,X0),X0,X3,X4),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558033,c_181]) ).
tcf(c_577923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X7)
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(s(X2,X3),X3,X4,X5) = X6 )
| ~ s_col(X2,X3,X7)
| ~ s_col(X2,X3,X6)
| ~ s_col(X0,X1,X6)
| ~ s_col(X0,X1,ext(s(X2,X3),X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_558033,c_152]) ).
tcf(c_577924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(ext(s(X0,X1),X1,X4,X5),X2,X3)
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X4,X5) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558033,c_151]) ).
tcf(c_577925,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(s(X0,X1),X1,X3,X4),X2)
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X3,X4) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558033,c_148]) ).
tcf(c_577932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(X0,X1,X4,X6,X7)
| ( X6 = X7 )
| ( X4 = X5 )
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = X4 )
| ~ s_col(X6,X7,X5)
| ~ s_col(X6,X7,X4)
| ~ s_col(X0,X1,X4)
| ~ s_r(ext(s(X0,X1),X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_558033,c_200]) ).
tcf(c_577933,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,s(X0,X1))
| sameside(X0,X1,ext(s(X0,X1),X1,X2,X3))
| ( X0 = X1 )
| ( s(X0,X1) = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_558033,c_481634]) ).
tcf(c_577934,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,ext(s(sK0,sK1),sK1,X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(s(sK0,sK1),sK1,X1,X2) = sK3 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_558033,c_481997]) ).
tcf(c_577935,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,ext(s(sK0,sK1),sK1,X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(s(sK0,sK1),sK1,X1,X2) = sK2 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_558033,c_481996]) ).
tcf(c_577936,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK3,ext(s(sK0,sK1),sK1,X0,X1))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_558033,c_481910]) ).
tcf(c_577937,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK2,ext(s(sK0,sK1),sK1,X0,X1))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_558033,c_481909]) ).
tcf(c_577938,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK1,ext(s(sK0,sK2),sK2,X0,X1))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_558033,c_481918]) ).
tcf(c_577939,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK1,ext(s(sK0,sK3),sK3,X0,X1))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_558033,c_481919]) ).
tcf(c_577940,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK0,ext(s(sK1,sK2),sK2,X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_558033,c_481912]) ).
tcf(c_577941,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK3,ext(s(sK1,sK0),sK0,X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_558033,c_481921]) ).
tcf(c_577942,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK2,ext(s(sK1,sK0),sK0,X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_558033,c_481920]) ).
tcf(c_577943,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK0,ext(s(sK1,sK3),sK3,X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_558033,c_481913]) ).
tcf(c_577944,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK1,ext(s(sK2,sK0),sK0,X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_558033,c_481914]) ).
tcf(c_577945,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK0,ext(s(sK2,sK1),sK1,X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_558033,c_481916]) ).
tcf(c_577946,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK1,ext(s(sK3,sK0),sK0,X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_558033,c_481915]) ).
tcf(c_577947,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK0,ext(s(sK3,sK1),sK1,X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_558033,c_481917]) ).
tcf(c_578296,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(ext(X0,s(X1,X0),X2,X3),s(X1,X0),X1),
inference(superposition,[status(thm)],[c_161,c_558051]) ).
tcf(c_578298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(ext(s(X0,X1),X1,X2,X3),X1,X0,X5,X1,X4) = X1 )
| ~ s_t(X5,X1,X0)
| ~ s_t(ext(s(X0,X1),X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_558051,c_480316]) ).
tcf(c_578299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( crossbar(ext(s(X0,X1),X1,X2,X3),X1,X0,X4,X5,X0) = X0 )
| ~ s_t(X4,X5,X0)
| ~ s_t(ext(s(X0,X1),X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_558051,c_480254]) ).
tcf(c_578300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ( ext(ext(s(X0,X1),X1,X2,X3),X1,X1,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_558051,c_480013]) ).
tcf(c_578301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ( ext(ext(s(X0,X1),X1,X2,X3),X1,X0,X1) = X0 ) ),
inference(superposition,[status(thm)],[c_558051,c_480011]) ).
tcf(c_578302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(ext(s(X1,X2),X2,X3,X4),X2,X1,X0,ext(s(X1,X2),X2,X3,X4)) = ext(s(X1,X2),X2,X3,X4) )
| ~ s_t(X0,ext(s(X1,X2),X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_558051,c_479924]) ).
tcf(c_578303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( ip(ext(s(X2,X0),X0,X3,X4),X0,X2,X0,X1) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558051,c_479914]) ).
tcf(c_578304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,ext(s(X0,X1),X1,X2,X3),X1)
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 ) ),
inference(superposition,[status(thm)],[c_558051,c_238]) ).
tcf(c_578305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,ext(s(X0,X1),X1,X2,X3),X0)
| ( ext(s(X0,X1),X1,X2,X3) = xb )
| ( ext(s(X0,X1),X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_558051,c_237]) ).
tcf(c_578310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ext(s(X2,X1),X1,X3,X4),X2)
| s_t(ext(s(X2,X1),X1,X3,X4),X0,X2)
| ( X1 = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558051,c_147]) ).
tcf(c_578311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,ext(s(X2,X1),X1,X3,X4))
| ( X1 = X2 )
| ( ext(s(X2,X1),X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558051,c_145]) ).
tcf(c_578312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,ext(s(X2,X1),X1,X3,X4))
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(s(X2,X1),X1,X3,X4) = X1 )
| ~ s_col(X0,X1,ext(s(X2,X1),X1,X3,X4)) ),
inference(superposition,[status(thm)],[c_558051,c_143]) ).
tcf(c_578313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ sameside(ext(s(X0,X1),X1,X2,X3),X1,X0),
inference(superposition,[status(thm)],[c_558051,c_133]) ).
tcf(c_578314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(ext(s(X2,X1),X1,X3,X4),X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( ext(s(X2,X1),X1,X3,X4) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558051,c_131]) ).
tcf(c_578315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,X1,X0)
| ( X1 = X4 )
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ~ sameside(ext(s(X0,X1),X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_558051,c_125]) ).
tcf(c_578316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(s(X0,X1),X1,X2,X3),X4,X1)
| s_t(ext(s(X0,X1),X1,X2,X3),X1,X4)
| ~ s_t(ext(s(X0,X1),X1,X2,X3),X4,X0) ),
inference(superposition,[status(thm)],[c_558051,c_109]) ).
tcf(c_578317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X4,X0)
| s_t(X1,X0,X4)
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ~ s_t(ext(s(X0,X1),X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_558051,c_108]) ).
tcf(c_578318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(s(X0,X1),X1,X2,X3),X4,X0)
| s_t(ext(s(X0,X1),X1,X2,X3),X0,X4)
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ~ s_t(ext(s(X0,X1),X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_558051,c_107]) ).
tcf(c_578319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(s(X1,X0),X0,X3,X4),X0,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558051,c_81]) ).
tcf(c_578320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(s(X0,X1),X1,X2,X3),X1,X4)
| ~ s_t(ext(s(X0,X1),X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_558051,c_80]) ).
tcf(c_578321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(s(X2,X0),X0,X3,X4),X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558051,c_79]) ).
tcf(c_578322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(s(X1,X0),X0,X3,X4),X1,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558051,c_78]) ).
tcf(c_578323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,X4)
| ~ s_t(ext(s(X0,X1),X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_558051,c_77]) ).
tcf(c_578324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(ext(s(X2,X0),X0,X3,X4),X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558051,c_76]) ).
tcf(c_578325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(s(X1,X0),X0,X2,X3) = X0 )
| ~ s_t(X0,ext(s(X1,X0),X0,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_558051,c_75]) ).
tcf(c_578328,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,s(X0,X1))
| s_t(X1,s(X0,X1),X0)
| ( ext(s(X0,X1),X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_558051,c_481341]) ).
tcf(c_578329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(s(ext(X0,X1,X2,X3),X1),X1,X4,X5),ext(X0,X1,X2,X3))
| s_t(ext(s(ext(X0,X1,X2,X3),X1),X1,X4,X5),X0,ext(X0,X1,X2,X3))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_558051,c_481802]) ).
tcf(c_578330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,X1,ext(s(ext(X0,X1,X2,X3),X1),X1,X4,X5))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( ext(s(ext(X0,X1,X2,X3),X1),X1,X4,X5) = X1 ) ),
inference(superposition,[status(thm)],[c_558051,c_481222]) ).
tcf(c_578331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ext(s(ext(X0,X1,X2,X3),X1),X1,X4,X5) = X1 )
| ( ext(ext(s(ext(X0,X1,X2,X3),X1),X1,X4,X5),X1,X2,X3) = ext(X0,X1,X2,X3) ) ),
inference(superposition,[status(thm)],[c_558051,c_480012]) ).
tcf(c_578332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,ext(s(X3,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X5,X6),X3)
| s_t(ext(s(X3,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X5,X6),X1,X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558051,c_481803]) ).
tcf(c_578333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X4),ext(s(X3,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X5,X6))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( ext(s(X3,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558051,c_481223]) ).
tcf(c_578334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X4,ext(s(X0,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X5,X6),X0)
| s_t(ext(s(X0,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X5,X6),X4,X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558051,c_481804]) ).
tcf(c_578335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),ext(s(X0,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X5,X6))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( ext(s(X0,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558051,c_481224]) ).
tcf(c_578336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X0,ext(s(ins(X2,X3,X0,X1),X1),X1,X4,X5),ins(X2,X3,X0,X1))
| s_t(ext(s(ins(X2,X3,X0,X1),X1),X1,X4,X5),X0,ins(X2,X3,X0,X1))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_558051,c_481809]) ).
tcf(c_578337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X0,X1,ext(s(ins(X2,X3,X0,X1),X1),X1,X4,X5))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ( ext(s(ins(X2,X3,X0,X1),X1),X1,X4,X5) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_558051,c_481229]) ).
tcf(c_578338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X2,ext(s(c63(X0,X1,X2),X1),X1,X3,X4),c63(X0,X1,X2))
| s_t(ext(s(c63(X0,X1,X2),X1),X1,X3,X4),X2,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558051,c_571066]) ).
tcf(c_578339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X0,ext(s(c63(X0,X1,X2),X1),X1,X3,X4),c63(X0,X1,X2))
| s_t(ext(s(c63(X0,X1,X2),X1),X1,X3,X4),X0,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558051,c_570690]) ).
tcf(c_578340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X2,X1,ext(s(c63(X0,X1,X2),X1),X1,X3,X4))
| ( X1 = X2 )
| ( ext(s(c63(X0,X1,X2),X1),X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558051,c_543337]) ).
tcf(c_578341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X0,X1,ext(s(c63(X0,X1,X2),X1),X1,X3,X4))
| ( X0 = X1 )
| ( ext(s(c63(X0,X1,X2),X1),X1,X3,X4) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558051,c_542847]) ).
tcf(c_578342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ext(s(ins(X2,X3,X0,X1),X0),X0,X4,X5) = X0 )
| ( ext(ext(s(ins(X2,X3,X0,X1),X0),X0,X4,X5),X0,X2,X3) = ins(X2,X3,X0,X1) )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_558051,c_480795]) ).
tcf(c_578343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X3,ext(s(X2,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X2)
| s_t(ext(s(X2,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X3,X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558051,c_481807]) ).
tcf(c_578344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X3,crossbar(X0,X1,X2,X4,X5,X3),ext(s(X2,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X6,X7))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( ext(s(X2,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X6,X7) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558051,c_481227]) ).
tcf(c_578345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_t(X1,ext(s(X5,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X5)
| s_t(ext(s(X5,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X6,X7),X1,X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558051,c_481808]) ).
tcf(c_578346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(X1,crossbar(X0,X1,X2,X4,X5,X3),ext(s(X5,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X6,X7))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( ext(s(X5,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X6,X7) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_558051,c_481228]) ).
tcf(c_578623,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_100,c_481999]) ).
tcf(c_578624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK0,f813(sK1,sK2,X1,X2,X0),X3)
| ( sK1 = sK2 )
| ( f813(sK1,sK2,X1,X2,X0) = sK0 )
| ~ s_col(sK1,sK2,X3)
| ~ perpAt(sK1,sK2,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_481999]) ).
tcf(c_578625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK0,g813(X0,X1,sK1,sK2,X2),X3)
| ( sK1 = sK2 )
| ( g813(X0,X1,sK1,sK2,X2) = sK0 )
| ~ s_col(sK1,sK2,X3)
| ~ perpAt(X0,X1,X2,sK1,sK2) ),
inference(superposition,[status(thm)],[c_196,c_481999]) ).
tcf(c_578626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK1,sK2,X2,X0,X1)
| s_col(sK0,f811(sK1,sK2,X0,X1,X2),X3)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( f811(sK1,sK2,X0,X1,X2) = sK0 )
| ~ s_col(sK1,sK2,X3)
| ~ s_col(sK1,sK2,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_481999]) ).
tcf(c_578627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(X0,X1,X2,sK1,sK2)
| s_col(sK0,g811(X0,X1,sK1,sK2,X2),X3)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( g811(X0,X1,sK1,sK2,X2) = sK0 )
| ~ s_col(sK1,sK2,X3)
| ~ s_col(sK1,sK2,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_481999]) ).
tcf(c_578628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK0,insert5(X0,X1,X2,sK1,sK2),X3)
| ( sK1 = sK2 )
| ( insert5(X0,X1,X2,sK1,sK2) = sK0 )
| ~ s_col(sK1,sK2,X3)
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK1,sK2) ),
inference(superposition,[status(thm)],[c_480519,c_481999]) ).
tcf(c_578629,plain,
! [X0: $i] :
( s_col(sK0,sK2,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_7182,c_481999]) ).
tcf(c_578631,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(sK1,sK2,X1,X2),X0)
| ( sK1 = sK2 )
| ( ext(sK1,sK2,X1,X2) = sK0 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_484594,c_481999]) ).
tcf(c_578632,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(sK2,sK1,X1,X2),X0)
| ( sK1 = sK2 )
| ( ext(sK2,sK1,X1,X2) = sK0 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_484758,c_481999]) ).
tcf(c_578633,plain,
! [X0: $i] :
( s_col(sK0,s(sK2,sK1),X0)
| ( sK1 = sK2 )
| ( s(sK2,sK1) = sK0 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_485948,c_481999]) ).
tcf(c_578634,plain,
! [X0: $i] :
( s_col(sK0,s(sK1,sK2),X0)
| ( sK1 = sK2 )
| ( s(sK1,sK2) = sK0 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_486075,c_481999]) ).
tcf(c_578635,plain,
! [X0: $i] :
( s_col(sK0,s(sK2,s(sK1,sK2)),X0)
| ( sK1 = sK2 )
| ( s(sK2,s(sK1,sK2)) = sK0 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_553533,c_481999]) ).
tcf(c_578636,plain,
! [X0: $i] :
( s_col(sK0,s(sK1,s(sK2,sK1)),X0)
| ( sK1 = sK2 )
| ( s(sK1,s(sK2,sK1)) = sK0 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_553998,c_481999]) ).
tcf(c_578637,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(s(sK1,sK2),sK2,X1,X2),X0)
| ( sK1 = sK2 )
| ( ext(s(sK1,sK2),sK2,X1,X2) = sK0 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_558033,c_481999]) ).
tcf(c_578638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK0,ext(X1,sK2,X2,X3),X0)
| ( sK1 = sK2 )
| ( X1 = sK2 )
| ( ext(X1,sK2,X2,X3) = sK2 )
| ( ext(X1,sK2,X2,X3) = sK0 )
| ~ sameside(sK1,sK2,X1)
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_481736,c_481999]) ).
tcf(c_578639,plain,
! [X0: $i] :
( s_col(sK0,s(s(sK2,sK1),sK1),X0)
| ( sK1 = sK2 )
| ( s(s(sK2,sK1),sK1) = sK0 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_517629,c_481999]) ).
tcf(c_578640,plain,
! [X0: $i] :
( s_col(sK0,s(s(sK1,sK2),sK2),X0)
| ( sK1 = sK2 )
| ( s(s(sK1,sK2),sK2) = sK0 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_519197,c_481999]) ).
tcf(c_578641,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(sK1,s(sK2,sK1),X1,X2),X0)
| ( sK1 = sK2 )
| ( ext(sK1,s(sK2,sK1),X1,X2) = sK0 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_523155,c_481999]) ).
tcf(c_578642,plain,
! [X0: $i] :
( s_col(sK0,s(s(s(sK2,sK1),sK1),sK1),X0)
| ( sK1 = sK2 )
| ( s(s(s(sK2,sK1),sK1),sK1) = sK0 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_529295,c_481999]) ).
tcf(c_578643,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(sK2,s(sK1,sK2),X1,X2),X0)
| ( sK1 = sK2 )
| ( ext(sK2,s(sK1,sK2),X1,X2) = sK0 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_535610,c_481999]) ).
tcf(c_578644,plain,
! [X0: $i] :
( s_col(sK0,s(s(s(sK1,sK2),sK2),sK2),X0)
| ( sK1 = sK2 )
| ( s(s(s(sK1,sK2),sK2),sK2) = sK0 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_543639,c_481999]) ).
tcf(c_578645,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,s(sK2,ext(sK2,sK1,X1,X2)),X0)
| ( sK1 = sK2 )
| ( s(sK2,ext(sK2,sK1,X1,X2)) = sK0 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_548058,c_481999]) ).
tcf(c_578646,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,s(sK1,ext(sK1,sK2,X1,X2)),X0)
| ( sK1 = sK2 )
| ( s(sK1,ext(sK1,sK2,X1,X2)) = sK0 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_548460,c_481999]) ).
tcf(c_578647,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,s(ext(sK1,sK2,X1,X2),sK1),X0)
| ( sK1 = sK2 )
| ( s(ext(sK1,sK2,X1,X2),sK1) = sK0 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_499649,c_481999]) ).
tcf(c_578648,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,s(ext(sK2,sK1,X1,X2),sK2),X0)
| ( sK1 = sK2 )
| ( s(ext(sK2,sK1,X1,X2),sK2) = sK0 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_503147,c_481999]) ).
tcf(c_578775,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_100,c_482000]) ).
tcf(c_578776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK0,f813(sK1,sK3,X1,X2,X0),X3)
| ( sK1 = sK3 )
| ( f813(sK1,sK3,X1,X2,X0) = sK0 )
| ~ s_col(sK1,sK3,X3)
| ~ perpAt(sK1,sK3,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_482000]) ).
tcf(c_578777,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK0,g813(X0,X1,sK1,sK3,X2),X3)
| ( sK1 = sK3 )
| ( g813(X0,X1,sK1,sK3,X2) = sK0 )
| ~ s_col(sK1,sK3,X3)
| ~ perpAt(X0,X1,X2,sK1,sK3) ),
inference(superposition,[status(thm)],[c_196,c_482000]) ).
tcf(c_578778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK1,sK3,X2,X0,X1)
| s_col(sK0,f811(sK1,sK3,X0,X1,X2),X3)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( f811(sK1,sK3,X0,X1,X2) = sK0 )
| ~ s_col(sK1,sK3,X3)
| ~ s_col(sK1,sK3,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_482000]) ).
tcf(c_578779,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(X0,X1,X2,sK1,sK3)
| s_col(sK0,g811(X0,X1,sK1,sK3,X2),X3)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( g811(X0,X1,sK1,sK3,X2) = sK0 )
| ~ s_col(sK1,sK3,X3)
| ~ s_col(sK1,sK3,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_482000]) ).
tcf(c_578780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK0,insert5(X0,X1,X2,sK1,sK3),X3)
| ( sK1 = sK3 )
| ( insert5(X0,X1,X2,sK1,sK3) = sK0 )
| ~ s_col(sK1,sK3,X3)
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK1,sK3) ),
inference(superposition,[status(thm)],[c_480519,c_482000]) ).
tcf(c_578781,plain,
! [X0: $i] :
( s_col(sK0,sK3,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_7182,c_482000]) ).
tcf(c_578783,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(sK1,sK3,X1,X2),X0)
| ( sK1 = sK3 )
| ( ext(sK1,sK3,X1,X2) = sK0 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_484594,c_482000]) ).
tcf(c_578784,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(sK3,sK1,X1,X2),X0)
| ( sK1 = sK3 )
| ( ext(sK3,sK1,X1,X2) = sK0 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_484758,c_482000]) ).
tcf(c_578785,plain,
! [X0: $i] :
( s_col(sK0,s(sK3,sK1),X0)
| ( sK1 = sK3 )
| ( s(sK3,sK1) = sK0 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_485948,c_482000]) ).
tcf(c_578786,plain,
! [X0: $i] :
( s_col(sK0,s(sK1,sK3),X0)
| ( sK1 = sK3 )
| ( s(sK1,sK3) = sK0 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_486075,c_482000]) ).
tcf(c_578787,plain,
! [X0: $i] :
( s_col(sK0,s(sK3,s(sK1,sK3)),X0)
| ( sK1 = sK3 )
| ( s(sK3,s(sK1,sK3)) = sK0 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_553533,c_482000]) ).
tcf(c_578788,plain,
! [X0: $i] :
( s_col(sK0,s(sK1,s(sK3,sK1)),X0)
| ( sK1 = sK3 )
| ( s(sK1,s(sK3,sK1)) = sK0 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_553998,c_482000]) ).
tcf(c_578789,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(s(sK1,sK3),sK3,X1,X2),X0)
| ( sK1 = sK3 )
| ( ext(s(sK1,sK3),sK3,X1,X2) = sK0 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_558033,c_482000]) ).
tcf(c_578790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK0,ext(X1,sK3,X2,X3),X0)
| ( sK1 = sK3 )
| ( X1 = sK3 )
| ( ext(X1,sK3,X2,X3) = sK3 )
| ( ext(X1,sK3,X2,X3) = sK0 )
| ~ sameside(sK1,sK3,X1)
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_481736,c_482000]) ).
tcf(c_578791,plain,
! [X0: $i] :
( s_col(sK0,s(s(sK3,sK1),sK1),X0)
| ( sK1 = sK3 )
| ( s(s(sK3,sK1),sK1) = sK0 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_517629,c_482000]) ).
tcf(c_578792,plain,
! [X0: $i] :
( s_col(sK0,s(s(sK1,sK3),sK3),X0)
| ( sK1 = sK3 )
| ( s(s(sK1,sK3),sK3) = sK0 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_519197,c_482000]) ).
tcf(c_578793,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(sK1,s(sK3,sK1),X1,X2),X0)
| ( sK1 = sK3 )
| ( ext(sK1,s(sK3,sK1),X1,X2) = sK0 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_523155,c_482000]) ).
tcf(c_578794,plain,
! [X0: $i] :
( s_col(sK0,s(s(s(sK3,sK1),sK1),sK1),X0)
| ( sK1 = sK3 )
| ( s(s(s(sK3,sK1),sK1),sK1) = sK0 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_529295,c_482000]) ).
tcf(c_578795,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(sK3,s(sK1,sK3),X1,X2),X0)
| ( sK1 = sK3 )
| ( ext(sK3,s(sK1,sK3),X1,X2) = sK0 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_535610,c_482000]) ).
tcf(c_578796,plain,
! [X0: $i] :
( s_col(sK0,s(s(s(sK1,sK3),sK3),sK3),X0)
| ( sK1 = sK3 )
| ( s(s(s(sK1,sK3),sK3),sK3) = sK0 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_543639,c_482000]) ).
tcf(c_578797,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,s(sK3,ext(sK3,sK1,X1,X2)),X0)
| ( sK1 = sK3 )
| ( s(sK3,ext(sK3,sK1,X1,X2)) = sK0 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_548058,c_482000]) ).
tcf(c_578798,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,s(sK1,ext(sK1,sK3,X1,X2)),X0)
| ( sK1 = sK3 )
| ( s(sK1,ext(sK1,sK3,X1,X2)) = sK0 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_548460,c_482000]) ).
tcf(c_578799,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,s(ext(sK1,sK3,X1,X2),sK1),X0)
| ( sK1 = sK3 )
| ( s(ext(sK1,sK3,X1,X2),sK1) = sK0 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_499649,c_482000]) ).
tcf(c_578800,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,s(ext(sK3,sK1,X1,X2),sK3),X0)
| ( sK1 = sK3 )
| ( s(ext(sK3,sK1,X1,X2),sK3) = sK0 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_503147,c_482000]) ).
tcf(c_578945,plain,
! [X0: $i] :
( s_col(sK1,sK2,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_100,c_482001]) ).
tcf(c_578946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK1,f813(sK2,sK0,X1,X2,X0),X3)
| ( sK0 = sK2 )
| ( f813(sK2,sK0,X1,X2,X0) = sK1 )
| ~ s_col(sK2,sK0,X3)
| ~ perpAt(sK2,sK0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_482001]) ).
tcf(c_578947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK1,g813(X0,X1,sK2,sK0,X2),X3)
| ( sK0 = sK2 )
| ( g813(X0,X1,sK2,sK0,X2) = sK1 )
| ~ s_col(sK2,sK0,X3)
| ~ perpAt(X0,X1,X2,sK2,sK0) ),
inference(superposition,[status(thm)],[c_196,c_482001]) ).
tcf(c_578948,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK2,sK0,X2,X0,X1)
| s_col(sK1,f811(sK2,sK0,X0,X1,X2),X3)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( f811(sK2,sK0,X0,X1,X2) = sK1 )
| ~ s_col(sK2,sK0,X3)
| ~ s_col(sK2,sK0,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_482001]) ).
tcf(c_578949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(X0,X1,X2,sK2,sK0)
| s_col(sK1,g811(X0,X1,sK2,sK0,X2),X3)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( g811(X0,X1,sK2,sK0,X2) = sK1 )
| ~ s_col(sK2,sK0,X3)
| ~ s_col(sK2,sK0,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_482001]) ).
tcf(c_578950,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK1,insert5(X0,X1,X2,sK2,sK0),X3)
| ( sK0 = sK2 )
| ( insert5(X0,X1,X2,sK2,sK0) = sK1 )
| ~ s_col(sK2,sK0,X3)
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_480519,c_482001]) ).
tcf(c_578951,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_7182,c_482001]) ).
tcf(c_578953,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(sK2,sK0,X1,X2),X0)
| ( sK0 = sK2 )
| ( ext(sK2,sK0,X1,X2) = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_484594,c_482001]) ).
tcf(c_578954,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(sK0,sK2,X1,X2),X0)
| ( sK0 = sK2 )
| ( ext(sK0,sK2,X1,X2) = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_484758,c_482001]) ).
tcf(c_578955,plain,
! [X0: $i] :
( s_col(sK1,s(sK0,sK2),X0)
| ( sK0 = sK2 )
| ( s(sK0,sK2) = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_485948,c_482001]) ).
tcf(c_578956,plain,
! [X0: $i] :
( s_col(sK1,s(sK2,sK0),X0)
| ( sK0 = sK2 )
| ( s(sK2,sK0) = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_486075,c_482001]) ).
tcf(c_578957,plain,
! [X0: $i] :
( s_col(sK1,s(sK0,s(sK2,sK0)),X0)
| ( sK0 = sK2 )
| ( s(sK0,s(sK2,sK0)) = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_553533,c_482001]) ).
tcf(c_578958,plain,
! [X0: $i] :
( s_col(sK1,s(sK2,s(sK0,sK2)),X0)
| ( sK0 = sK2 )
| ( s(sK2,s(sK0,sK2)) = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_553998,c_482001]) ).
tcf(c_578959,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(s(sK2,sK0),sK0,X1,X2),X0)
| ( sK0 = sK2 )
| ( ext(s(sK2,sK0),sK0,X1,X2) = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_558033,c_482001]) ).
tcf(c_578960,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK1,ext(X1,sK0,X2,X3),X0)
| ( sK0 = sK2 )
| ( X1 = sK0 )
| ( ext(X1,sK0,X2,X3) = sK1 )
| ( ext(X1,sK0,X2,X3) = sK0 )
| ~ sameside(sK2,sK0,X1)
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_481736,c_482001]) ).
tcf(c_578961,plain,
! [X0: $i] :
( s_col(sK1,s(s(sK0,sK2),sK2),X0)
| ( sK0 = sK2 )
| ( s(s(sK0,sK2),sK2) = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_517629,c_482001]) ).
tcf(c_578962,plain,
! [X0: $i] :
( s_col(sK1,s(s(sK2,sK0),sK0),X0)
| ( sK0 = sK2 )
| ( s(s(sK2,sK0),sK0) = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_519197,c_482001]) ).
tcf(c_578963,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(sK2,s(sK0,sK2),X1,X2),X0)
| ( sK0 = sK2 )
| ( ext(sK2,s(sK0,sK2),X1,X2) = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_523155,c_482001]) ).
tcf(c_578964,plain,
! [X0: $i] :
( s_col(sK1,s(s(s(sK0,sK2),sK2),sK2),X0)
| ( sK0 = sK2 )
| ( s(s(s(sK0,sK2),sK2),sK2) = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_529295,c_482001]) ).
tcf(c_578965,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(sK0,s(sK2,sK0),X1,X2),X0)
| ( sK0 = sK2 )
| ( ext(sK0,s(sK2,sK0),X1,X2) = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_535610,c_482001]) ).
tcf(c_578966,plain,
! [X0: $i] :
( s_col(sK1,s(s(s(sK2,sK0),sK0),sK0),X0)
| ( sK0 = sK2 )
| ( s(s(s(sK2,sK0),sK0),sK0) = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_543639,c_482001]) ).
tcf(c_578967,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,s(sK0,ext(sK0,sK2,X1,X2)),X0)
| ( sK0 = sK2 )
| ( s(sK0,ext(sK0,sK2,X1,X2)) = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_548058,c_482001]) ).
tcf(c_578968,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,s(sK2,ext(sK2,sK0,X1,X2)),X0)
| ( sK0 = sK2 )
| ( s(sK2,ext(sK2,sK0,X1,X2)) = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_548460,c_482001]) ).
tcf(c_578969,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,s(ext(sK2,sK0,X1,X2),sK2),X0)
| ( sK0 = sK2 )
| ( s(ext(sK2,sK0,X1,X2),sK2) = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_499649,c_482001]) ).
tcf(c_578970,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,s(ext(sK0,sK2,X1,X2),sK0),X0)
| ( sK0 = sK2 )
| ( s(ext(sK0,sK2,X1,X2),sK0) = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_503147,c_482001]) ).
tcf(c_579112,plain,
! [X0: $i,X1: $i] : s_col(s(X0,X1),s(s(X0,X1),s(X1,s(X0,X1))),X0),
inference(superposition,[status(thm)],[c_161,c_571448]) ).
tcf(c_579114,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(s(X1,X0),X0)),X1,X2)
| ( s(X0,s(s(X1,X0),X0)) = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(X0,s(X0,s(s(X1,X0),X0)),X2) ),
inference(superposition,[status(thm)],[c_571448,c_481998]) ).
tcf(c_579115,plain,
! [X0: $i,X1: $i] :
( s_t(X1,X0,s(X0,s(s(X1,X0),X0)))
| s_t(X0,s(X0,s(s(X1,X0),X0)),X1)
| s_t(s(X0,s(s(X1,X0),X0)),X1,X0) ),
inference(superposition,[status(thm)],[c_571448,c_222]) ).
tcf(c_579116,plain,
! [X0: $i,X1: $i] :
( ( s(X0,s(s(X1,X0),X0)) = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_r(X0,s(X0,s(s(X1,X0),X0)),X1) ),
inference(superposition,[status(thm)],[c_571448,c_187]) ).
tcf(c_579117,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,X0,X2)
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_r(s(X0,s(s(X1,X0),X0)),X0,X2) ),
inference(superposition,[status(thm)],[c_571448,c_181]) ).
tcf(c_579118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X1 = X2 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X1)
| ~ s_col(X0,s(X0,s(s(X1,X0),X0)),X3)
| ~ s_col(X0,s(X0,s(s(X1,X0),X0)),X2) ),
inference(superposition,[status(thm)],[c_571448,c_152]) ).
tcf(c_579119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| ( X1 = X2 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(X0,s(X0,s(s(X1,X0),X0)),X3)
| ~ s_col(X0,s(X0,s(s(X1,X0),X0)),X2) ),
inference(superposition,[status(thm)],[c_571448,c_151]) ).
tcf(c_579120,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(X0,s(X0,s(s(X1,X0),X0)),X2) ),
inference(superposition,[status(thm)],[c_571448,c_148]) ).
tcf(c_579121,plain,
! [X0: $i,X1: $i] :
( sameside(X0,s(X0,s(s(X1,X0),X0)),X1)
| s_t(X0,s(X0,s(s(X1,X0),X0)),X1) ),
inference(superposition,[status(thm)],[c_571448,c_134]) ).
tcf(c_579122,plain,
! [X0: $i,X1: $i] : s_col(X0,X1,s(X0,s(s(X1,X0),X0))),
inference(superposition,[status(thm)],[c_571448,c_98]) ).
tcf(c_579123,plain,
! [X0: $i,X1: $i] : s_col(s(X0,s(s(X1,X0),X0)),X0,X1),
inference(superposition,[status(thm)],[c_571448,c_97]) ).
tcf(c_579124,plain,
! [X0: $i,X1: $i] : s_col(X0,s(X1,s(s(X0,X1),X1)),X1),
inference(superposition,[status(thm)],[c_571448,c_96]) ).
tcf(c_579127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,s(X0,s(s(X1,X0),X0)),X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X1 = X2 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_r(X1,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,s(X0,s(s(X1,X0),X0)),X2) ),
inference(superposition,[status(thm)],[c_571448,c_200]) ).
tcf(c_579362,plain,
! [X0: $i,X1: $i] : s_col(s(s(X0,X1),s(X1,s(X0,X1))),X0,s(X0,X1)),
inference(superposition,[status(thm)],[c_161,c_571449]) ).
tcf(c_579364,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X1 )
| ~ s_col(s(X0,s(s(X1,X0),X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_571449,c_481998]) ).
tcf(c_579366,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X1 )
| ~ s_r(s(X0,s(s(X1,X0),X0)),X1,X0) ),
inference(superposition,[status(thm)],[c_571449,c_187]) ).
tcf(c_579367,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,s(X1,s(s(X0,X1),X1)),X2)
| ( s(X1,s(s(X0,X1),X1)) = X0 )
| ~ s_r(X0,s(X1,s(s(X0,X1),X1)),X2) ),
inference(superposition,[status(thm)],[c_571449,c_181]) ).
tcf(c_579368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X0 = X2 )
| ( s(X0,s(s(X1,X0),X0)) = X1 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X0)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X1,X3)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_571449,c_152]) ).
tcf(c_579369,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X2,X3)
| ( X0 = X2 )
| ( s(X0,s(s(X1,X0),X0)) = X1 )
| ~ s_col(s(X0,s(s(X1,X0),X0)),X1,X3)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_571449,c_151]) ).
tcf(c_579370,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(s(X1,X0),X0)),X0,X2)
| ( s(X0,s(s(X1,X0),X0)) = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(s(X0,s(s(X1,X0),X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_571449,c_148]) ).
tcf(c_579371,plain,
! [X0: $i,X1: $i] :
( sameside(s(X0,s(s(X1,X0),X0)),X1,X0)
| s_t(s(X0,s(s(X1,X0),X0)),X1,X0) ),
inference(superposition,[status(thm)],[c_571449,c_134]) ).
tcf(c_579377,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(s(X0,s(s(X1,X0),X0)),X1,X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X0 = X2 )
| ( s(X0,s(s(X1,X0),X0)) = X1 )
| ~ s_r(X0,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_571449,c_200]) ).
tcf(c_579378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(X1,s(s(ip(X0,X1,X2,X3,X4),X1),X1)),ip(X0,X1,X2,X3,X4),X3)
| sameside(s(X1,s(s(ip(X0,X1,X2,X3,X4),X1),X1)),ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(X1,s(s(ip(X0,X1,X2,X3,X4),X1),X1)) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571449,c_481625]) ).
tcf(c_579379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(X4,s(s(ip(X0,X1,X2,X3,X4),X4),X4)),ip(X0,X1,X2,X3,X4),X4)
| sameside(s(X4,s(s(ip(X0,X1,X2,X3,X4),X4),X4)),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(X4,s(s(ip(X0,X1,X2,X3,X4),X4),X4)) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571449,c_481626]) ).
tcf(c_579380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(ext(X0,X1,X2,X3),s(s(X1,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3))),X1,X0)
| sameside(s(ext(X0,X1,X2,X3),s(s(X1,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3))),X1,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( s(ext(X0,X1,X2,X3),s(s(X1,ext(X0,X1,X2,X3)),ext(X0,X1,X2,X3))) = X1 ) ),
inference(superposition,[status(thm)],[c_571449,c_481634]) ).
tcf(c_579381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(X3,s(s(crossbar(X0,X1,X2,X4,X5,X3),X3),X3)),crossbar(X0,X1,X2,X4,X5,X3),X3)
| sameside(s(X3,s(s(crossbar(X0,X1,X2,X4,X5,X3),X3),X3)),crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( s(X3,s(s(crossbar(X0,X1,X2,X4,X5,X3),X3),X3)) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571449,c_481629]) ).
tcf(c_579382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(X1,s(s(crossbar(X0,X1,X2,X4,X5,X3),X1),X1)),crossbar(X0,X1,X2,X4,X5,X3),X5)
| sameside(s(X1,s(s(crossbar(X0,X1,X2,X4,X5,X3),X1),X1)),crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( s(X1,s(s(crossbar(X0,X1,X2,X4,X5,X3),X1),X1)) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571449,c_481630]) ).
tcf(c_579475,plain,
! [X0: $i] :
( s_col(sK1,sK3,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_100,c_482002]) ).
tcf(c_579476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK1,f813(sK3,sK0,X1,X2,X0),X3)
| ( sK0 = sK3 )
| ( f813(sK3,sK0,X1,X2,X0) = sK1 )
| ~ s_col(sK3,sK0,X3)
| ~ perpAt(sK3,sK0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_482002]) ).
tcf(c_579477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK1,g813(X0,X1,sK3,sK0,X2),X3)
| ( sK0 = sK3 )
| ( g813(X0,X1,sK3,sK0,X2) = sK1 )
| ~ s_col(sK3,sK0,X3)
| ~ perpAt(X0,X1,X2,sK3,sK0) ),
inference(superposition,[status(thm)],[c_196,c_482002]) ).
tcf(c_579478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK3,sK0,X2,X0,X1)
| s_col(sK1,f811(sK3,sK0,X0,X1,X2),X3)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( f811(sK3,sK0,X0,X1,X2) = sK1 )
| ~ s_col(sK3,sK0,X3)
| ~ s_col(sK3,sK0,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_482002]) ).
tcf(c_579479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(X0,X1,X2,sK3,sK0)
| s_col(sK1,g811(X0,X1,sK3,sK0,X2),X3)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( g811(X0,X1,sK3,sK0,X2) = sK1 )
| ~ s_col(sK3,sK0,X3)
| ~ s_col(sK3,sK0,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_482002]) ).
tcf(c_579480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK1,insert5(X0,X1,X2,sK3,sK0),X3)
| ( sK0 = sK3 )
| ( insert5(X0,X1,X2,sK3,sK0) = sK1 )
| ~ s_col(sK3,sK0,X3)
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK3,sK0) ),
inference(superposition,[status(thm)],[c_480519,c_482002]) ).
tcf(c_579481,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_7182,c_482002]) ).
tcf(c_579483,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(sK3,sK0,X1,X2),X0)
| ( sK0 = sK3 )
| ( ext(sK3,sK0,X1,X2) = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_484594,c_482002]) ).
tcf(c_579484,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(sK0,sK3,X1,X2),X0)
| ( sK0 = sK3 )
| ( ext(sK0,sK3,X1,X2) = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_484758,c_482002]) ).
tcf(c_579485,plain,
! [X0: $i] :
( s_col(sK1,s(sK0,sK3),X0)
| ( sK0 = sK3 )
| ( s(sK0,sK3) = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_485948,c_482002]) ).
tcf(c_579486,plain,
! [X0: $i] :
( s_col(sK1,s(sK3,sK0),X0)
| ( sK0 = sK3 )
| ( s(sK3,sK0) = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_486075,c_482002]) ).
tcf(c_579487,plain,
! [X0: $i] :
( s_col(sK1,s(sK0,s(sK3,sK0)),X0)
| ( sK0 = sK3 )
| ( s(sK0,s(sK3,sK0)) = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_553533,c_482002]) ).
tcf(c_579488,plain,
! [X0: $i] :
( s_col(sK1,s(sK3,s(sK0,sK3)),X0)
| ( sK0 = sK3 )
| ( s(sK3,s(sK0,sK3)) = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_553998,c_482002]) ).
tcf(c_579489,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(s(sK3,sK0),sK0,X1,X2),X0)
| ( sK0 = sK3 )
| ( ext(s(sK3,sK0),sK0,X1,X2) = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_558033,c_482002]) ).
tcf(c_579490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK1,ext(X1,sK0,X2,X3),X0)
| ( sK0 = sK3 )
| ( X1 = sK0 )
| ( ext(X1,sK0,X2,X3) = sK1 )
| ( ext(X1,sK0,X2,X3) = sK0 )
| ~ sameside(sK3,sK0,X1)
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_481736,c_482002]) ).
tcf(c_579491,plain,
! [X0: $i] :
( s_col(sK1,s(s(sK0,sK3),sK3),X0)
| ( sK0 = sK3 )
| ( s(s(sK0,sK3),sK3) = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_517629,c_482002]) ).
tcf(c_579492,plain,
! [X0: $i] :
( s_col(sK1,s(s(sK3,sK0),sK0),X0)
| ( sK0 = sK3 )
| ( s(s(sK3,sK0),sK0) = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_519197,c_482002]) ).
tcf(c_579493,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(sK3,s(sK0,sK3),X1,X2),X0)
| ( sK0 = sK3 )
| ( ext(sK3,s(sK0,sK3),X1,X2) = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_523155,c_482002]) ).
tcf(c_579494,plain,
! [X0: $i] :
( s_col(sK1,s(s(s(sK0,sK3),sK3),sK3),X0)
| ( sK0 = sK3 )
| ( s(s(s(sK0,sK3),sK3),sK3) = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_529295,c_482002]) ).
tcf(c_579495,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(sK0,s(sK3,sK0),X1,X2),X0)
| ( sK0 = sK3 )
| ( ext(sK0,s(sK3,sK0),X1,X2) = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_535610,c_482002]) ).
tcf(c_579496,plain,
! [X0: $i] :
( s_col(sK1,s(s(s(sK3,sK0),sK0),sK0),X0)
| ( sK0 = sK3 )
| ( s(s(s(sK3,sK0),sK0),sK0) = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_543639,c_482002]) ).
tcf(c_579497,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,s(sK0,ext(sK0,sK3,X1,X2)),X0)
| ( sK0 = sK3 )
| ( s(sK0,ext(sK0,sK3,X1,X2)) = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_548058,c_482002]) ).
tcf(c_579498,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,s(sK3,ext(sK3,sK0,X1,X2)),X0)
| ( sK0 = sK3 )
| ( s(sK3,ext(sK3,sK0,X1,X2)) = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_548460,c_482002]) ).
tcf(c_579499,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,s(ext(sK3,sK0,X1,X2),sK3),X0)
| ( sK0 = sK3 )
| ( s(ext(sK3,sK0,X1,X2),sK3) = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_499649,c_482002]) ).
tcf(c_579500,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,s(ext(sK0,sK3,X1,X2),sK0),X0)
| ( sK0 = sK3 )
| ( s(ext(sK0,sK3,X1,X2),sK0) = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_503147,c_482002]) ).
tcf(c_579743,plain,
! [X0: $i] :
( s_col(sK0,sK2,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_100,c_482003]) ).
tcf(c_579744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK0,f813(sK2,sK1,X1,X2,X0),X3)
| ( sK1 = sK2 )
| ( f813(sK2,sK1,X1,X2,X0) = sK0 )
| ~ s_col(sK2,sK1,X3)
| ~ perpAt(sK2,sK1,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_482003]) ).
tcf(c_579745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK0,g813(X0,X1,sK2,sK1,X2),X3)
| ( sK1 = sK2 )
| ( g813(X0,X1,sK2,sK1,X2) = sK0 )
| ~ s_col(sK2,sK1,X3)
| ~ perpAt(X0,X1,X2,sK2,sK1) ),
inference(superposition,[status(thm)],[c_196,c_482003]) ).
tcf(c_579746,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK2,sK1,X2,X0,X1)
| s_col(sK0,f811(sK2,sK1,X0,X1,X2),X3)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( f811(sK2,sK1,X0,X1,X2) = sK0 )
| ~ s_col(sK2,sK1,X3)
| ~ s_col(sK2,sK1,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_482003]) ).
tcf(c_579747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(X0,X1,X2,sK2,sK1)
| s_col(sK0,g811(X0,X1,sK2,sK1,X2),X3)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( g811(X0,X1,sK2,sK1,X2) = sK0 )
| ~ s_col(sK2,sK1,X3)
| ~ s_col(sK2,sK1,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_482003]) ).
tcf(c_579748,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK0,insert5(X0,X1,X2,sK2,sK1),X3)
| ( sK1 = sK2 )
| ( insert5(X0,X1,X2,sK2,sK1) = sK0 )
| ~ s_col(sK2,sK1,X3)
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK2,sK1) ),
inference(superposition,[status(thm)],[c_480519,c_482003]) ).
tcf(c_579749,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_7182,c_482003]) ).
tcf(c_579751,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(sK2,sK1,X1,X2),X0)
| ( sK1 = sK2 )
| ( ext(sK2,sK1,X1,X2) = sK0 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_484594,c_482003]) ).
tcf(c_579752,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(sK1,sK2,X1,X2),X0)
| ( sK1 = sK2 )
| ( ext(sK1,sK2,X1,X2) = sK0 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_484758,c_482003]) ).
tcf(c_579753,plain,
! [X0: $i] :
( s_col(sK0,s(sK1,sK2),X0)
| ( sK1 = sK2 )
| ( s(sK1,sK2) = sK0 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_485948,c_482003]) ).
tcf(c_579754,plain,
! [X0: $i] :
( s_col(sK0,s(sK2,sK1),X0)
| ( sK1 = sK2 )
| ( s(sK2,sK1) = sK0 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_486075,c_482003]) ).
tcf(c_579755,plain,
! [X0: $i] :
( s_col(sK0,s(sK1,s(sK2,sK1)),X0)
| ( sK1 = sK2 )
| ( s(sK1,s(sK2,sK1)) = sK0 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_553533,c_482003]) ).
tcf(c_579756,plain,
! [X0: $i] :
( s_col(sK0,s(sK2,s(sK1,sK2)),X0)
| ( sK1 = sK2 )
| ( s(sK2,s(sK1,sK2)) = sK0 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_553998,c_482003]) ).
tcf(c_579757,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(s(sK2,sK1),sK1,X1,X2),X0)
| ( sK1 = sK2 )
| ( ext(s(sK2,sK1),sK1,X1,X2) = sK0 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_558033,c_482003]) ).
tcf(c_579758,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK0,ext(X1,sK1,X2,X3),X0)
| ( sK1 = sK2 )
| ( X1 = sK1 )
| ( ext(X1,sK1,X2,X3) = sK1 )
| ( ext(X1,sK1,X2,X3) = sK0 )
| ~ sameside(sK2,sK1,X1)
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_481736,c_482003]) ).
tcf(c_579759,plain,
! [X0: $i] :
( s_col(sK0,s(s(sK1,sK2),sK2),X0)
| ( sK1 = sK2 )
| ( s(s(sK1,sK2),sK2) = sK0 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_517629,c_482003]) ).
tcf(c_579760,plain,
! [X0: $i] :
( s_col(sK0,s(s(sK2,sK1),sK1),X0)
| ( sK1 = sK2 )
| ( s(s(sK2,sK1),sK1) = sK0 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_519197,c_482003]) ).
tcf(c_579761,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(sK2,s(sK1,sK2),X1,X2),X0)
| ( sK1 = sK2 )
| ( ext(sK2,s(sK1,sK2),X1,X2) = sK0 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_523155,c_482003]) ).
tcf(c_579762,plain,
! [X0: $i] :
( s_col(sK0,s(s(s(sK1,sK2),sK2),sK2),X0)
| ( sK1 = sK2 )
| ( s(s(s(sK1,sK2),sK2),sK2) = sK0 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_529295,c_482003]) ).
tcf(c_579763,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(sK1,s(sK2,sK1),X1,X2),X0)
| ( sK1 = sK2 )
| ( ext(sK1,s(sK2,sK1),X1,X2) = sK0 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_535610,c_482003]) ).
tcf(c_579764,plain,
! [X0: $i] :
( s_col(sK0,s(s(s(sK2,sK1),sK1),sK1),X0)
| ( sK1 = sK2 )
| ( s(s(s(sK2,sK1),sK1),sK1) = sK0 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_543639,c_482003]) ).
tcf(c_579765,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,s(sK1,ext(sK1,sK2,X1,X2)),X0)
| ( sK1 = sK2 )
| ( s(sK1,ext(sK1,sK2,X1,X2)) = sK0 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_548058,c_482003]) ).
tcf(c_579766,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,s(sK2,ext(sK2,sK1,X1,X2)),X0)
| ( sK1 = sK2 )
| ( s(sK2,ext(sK2,sK1,X1,X2)) = sK0 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_548460,c_482003]) ).
tcf(c_579767,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,s(ext(sK2,sK1,X1,X2),sK2),X0)
| ( sK1 = sK2 )
| ( s(ext(sK2,sK1,X1,X2),sK2) = sK0 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_499649,c_482003]) ).
tcf(c_579768,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,s(ext(sK1,sK2,X1,X2),sK1),X0)
| ( sK1 = sK2 )
| ( s(ext(sK1,sK2,X1,X2),sK1) = sK0 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_503147,c_482003]) ).
tcf(c_579896,plain,
! [X0: $i] :
( s_col(sK0,sK3,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_100,c_482004]) ).
tcf(c_579897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK0,f813(sK3,sK1,X1,X2,X0),X3)
| ( sK1 = sK3 )
| ( f813(sK3,sK1,X1,X2,X0) = sK0 )
| ~ s_col(sK3,sK1,X3)
| ~ perpAt(sK3,sK1,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_482004]) ).
tcf(c_579898,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK0,g813(X0,X1,sK3,sK1,X2),X3)
| ( sK1 = sK3 )
| ( g813(X0,X1,sK3,sK1,X2) = sK0 )
| ~ s_col(sK3,sK1,X3)
| ~ perpAt(X0,X1,X2,sK3,sK1) ),
inference(superposition,[status(thm)],[c_196,c_482004]) ).
tcf(c_579899,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK3,sK1,X2,X0,X1)
| s_col(sK0,f811(sK3,sK1,X0,X1,X2),X3)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( f811(sK3,sK1,X0,X1,X2) = sK0 )
| ~ s_col(sK3,sK1,X3)
| ~ s_col(sK3,sK1,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_482004]) ).
tcf(c_579900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(X0,X1,X2,sK3,sK1)
| s_col(sK0,g811(X0,X1,sK3,sK1,X2),X3)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( g811(X0,X1,sK3,sK1,X2) = sK0 )
| ~ s_col(sK3,sK1,X3)
| ~ s_col(sK3,sK1,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_482004]) ).
tcf(c_579901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK0,insert5(X0,X1,X2,sK3,sK1),X3)
| ( sK1 = sK3 )
| ( insert5(X0,X1,X2,sK3,sK1) = sK0 )
| ~ s_col(sK3,sK1,X3)
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK3,sK1) ),
inference(superposition,[status(thm)],[c_480519,c_482004]) ).
tcf(c_579902,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_7182,c_482004]) ).
tcf(c_579904,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(sK3,sK1,X1,X2),X0)
| ( sK1 = sK3 )
| ( ext(sK3,sK1,X1,X2) = sK0 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_484594,c_482004]) ).
tcf(c_579905,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(sK1,sK3,X1,X2),X0)
| ( sK1 = sK3 )
| ( ext(sK1,sK3,X1,X2) = sK0 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_484758,c_482004]) ).
tcf(c_579906,plain,
! [X0: $i] :
( s_col(sK0,s(sK1,sK3),X0)
| ( sK1 = sK3 )
| ( s(sK1,sK3) = sK0 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_485948,c_482004]) ).
tcf(c_579907,plain,
! [X0: $i] :
( s_col(sK0,s(sK3,sK1),X0)
| ( sK1 = sK3 )
| ( s(sK3,sK1) = sK0 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_486075,c_482004]) ).
tcf(c_579908,plain,
! [X0: $i] :
( s_col(sK0,s(sK1,s(sK3,sK1)),X0)
| ( sK1 = sK3 )
| ( s(sK1,s(sK3,sK1)) = sK0 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_553533,c_482004]) ).
tcf(c_579909,plain,
! [X0: $i] :
( s_col(sK0,s(sK3,s(sK1,sK3)),X0)
| ( sK1 = sK3 )
| ( s(sK3,s(sK1,sK3)) = sK0 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_553998,c_482004]) ).
tcf(c_579910,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(s(sK3,sK1),sK1,X1,X2),X0)
| ( sK1 = sK3 )
| ( ext(s(sK3,sK1),sK1,X1,X2) = sK0 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_558033,c_482004]) ).
tcf(c_579911,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK0,ext(X1,sK1,X2,X3),X0)
| ( sK1 = sK3 )
| ( X1 = sK1 )
| ( ext(X1,sK1,X2,X3) = sK1 )
| ( ext(X1,sK1,X2,X3) = sK0 )
| ~ sameside(sK3,sK1,X1)
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_481736,c_482004]) ).
tcf(c_579912,plain,
! [X0: $i] :
( s_col(sK0,s(s(sK1,sK3),sK3),X0)
| ( sK1 = sK3 )
| ( s(s(sK1,sK3),sK3) = sK0 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_517629,c_482004]) ).
tcf(c_579913,plain,
! [X0: $i] :
( s_col(sK0,s(s(sK3,sK1),sK1),X0)
| ( sK1 = sK3 )
| ( s(s(sK3,sK1),sK1) = sK0 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_519197,c_482004]) ).
tcf(c_579914,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(sK3,s(sK1,sK3),X1,X2),X0)
| ( sK1 = sK3 )
| ( ext(sK3,s(sK1,sK3),X1,X2) = sK0 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_523155,c_482004]) ).
tcf(c_579915,plain,
! [X0: $i] :
( s_col(sK0,s(s(s(sK1,sK3),sK3),sK3),X0)
| ( sK1 = sK3 )
| ( s(s(s(sK1,sK3),sK3),sK3) = sK0 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_529295,c_482004]) ).
tcf(c_579916,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(sK1,s(sK3,sK1),X1,X2),X0)
| ( sK1 = sK3 )
| ( ext(sK1,s(sK3,sK1),X1,X2) = sK0 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_535610,c_482004]) ).
tcf(c_579917,plain,
! [X0: $i] :
( s_col(sK0,s(s(s(sK3,sK1),sK1),sK1),X0)
| ( sK1 = sK3 )
| ( s(s(s(sK3,sK1),sK1),sK1) = sK0 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_543639,c_482004]) ).
tcf(c_579918,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,s(sK1,ext(sK1,sK3,X1,X2)),X0)
| ( sK1 = sK3 )
| ( s(sK1,ext(sK1,sK3,X1,X2)) = sK0 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_548058,c_482004]) ).
tcf(c_579919,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,s(sK3,ext(sK3,sK1,X1,X2)),X0)
| ( sK1 = sK3 )
| ( s(sK3,ext(sK3,sK1,X1,X2)) = sK0 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_548460,c_482004]) ).
tcf(c_579920,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,s(ext(sK3,sK1,X1,X2),sK3),X0)
| ( sK1 = sK3 )
| ( s(ext(sK3,sK1,X1,X2),sK3) = sK0 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_499649,c_482004]) ).
tcf(c_579921,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,s(ext(sK1,sK3,X1,X2),sK1),X0)
| ( sK1 = sK3 )
| ( s(ext(sK1,sK3,X1,X2),sK1) = sK0 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_503147,c_482004]) ).
tcf(c_580039,plain,
! [X0: $i,X1: $i] : s_col(X0,s(X0,X1),s(s(X0,X1),s(X1,s(X0,X1)))),
inference(superposition,[status(thm)],[c_161,c_571450]) ).
tcf(c_580041,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,s(X1,s(s(X0,X1),X1)),X2)
| ( X0 = X1 )
| ( s(X1,s(s(X0,X1),X1)) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571450,c_481998]) ).
tcf(c_580043,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X1,s(s(X0,X1),X1)) = X1 )
| ~ s_r(X0,X1,s(X1,s(s(X0,X1),X1))) ),
inference(superposition,[status(thm)],[c_571450,c_187]) ).
tcf(c_580044,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(s(X0,s(s(X1,X0),X0)),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571450,c_181]) ).
tcf(c_580045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,s(s(X3,X2),X2)) = X4 )
| ~ s_col(X3,X2,X5)
| ~ s_col(X3,X2,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,s(X2,s(s(X3,X2),X2))) ),
inference(superposition,[status(thm)],[c_571450,c_152]) ).
tcf(c_580046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(X1,s(s(X0,X1),X1)),X2,X3)
| ( X0 = X1 )
| ( s(X1,s(s(X0,X1),X1)) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571450,c_151]) ).
tcf(c_580047,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(s(X0,X1),X1)),X2)
| ( X0 = X1 )
| ( s(X1,s(s(X0,X1),X1)) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571450,c_148]) ).
tcf(c_580054,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X1,X0,X2,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X2 )
| ~ s_col(X4,X5,X3)
| ~ s_col(X4,X5,X2)
| ~ s_col(X1,X0,X2)
| ~ s_r(s(X0,s(s(X1,X0),X0)),X2,X3) ),
inference(superposition,[status(thm)],[c_571450,c_200]) ).
tcf(c_580055,plain,
! [X0: $i] :
( s_col(sK3,s(sK1,s(s(sK0,sK1),sK1)),X0)
| ( sK0 = sK1 )
| ( s(sK1,s(s(sK0,sK1),sK1)) = sK3 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_571450,c_481997]) ).
tcf(c_580056,plain,
! [X0: $i] :
( s_col(sK2,s(sK1,s(s(sK0,sK1),sK1)),X0)
| ( sK0 = sK1 )
| ( s(sK1,s(s(sK0,sK1),sK1)) = sK2 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_571450,c_481996]) ).
tcf(c_580057,plain,
( s_col(sK0,sK3,s(sK1,s(s(sK0,sK1),sK1)))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_571450,c_481910]) ).
tcf(c_580058,plain,
( s_col(sK0,sK2,s(sK1,s(s(sK0,sK1),sK1)))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_571450,c_481909]) ).
tcf(c_580059,plain,
( s_col(sK0,sK1,s(sK2,s(s(sK0,sK2),sK2)))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_571450,c_481918]) ).
tcf(c_580060,plain,
( s_col(sK0,sK1,s(sK3,s(s(sK0,sK3),sK3)))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_571450,c_481919]) ).
tcf(c_580061,plain,
! [X0: $i] :
( s_col(sK0,s(sK2,s(s(sK1,sK2),sK2)),X0)
| ( sK1 = sK2 )
| ( s(sK2,s(s(sK1,sK2),sK2)) = sK0 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_571450,c_481999]) ).
tcf(c_580062,plain,
( s_col(sK1,sK0,s(sK2,s(s(sK1,sK2),sK2)))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_571450,c_481912]) ).
tcf(c_580063,plain,
( s_col(sK1,sK3,s(sK0,s(s(sK1,sK0),sK0)))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_571450,c_481921]) ).
tcf(c_580064,plain,
( s_col(sK1,sK2,s(sK0,s(s(sK1,sK0),sK0)))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_571450,c_481920]) ).
tcf(c_580065,plain,
! [X0: $i] :
( s_col(sK0,s(sK3,s(s(sK1,sK3),sK3)),X0)
| ( sK1 = sK3 )
| ( s(sK3,s(s(sK1,sK3),sK3)) = sK0 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_571450,c_482000]) ).
tcf(c_580066,plain,
( s_col(sK1,sK0,s(sK3,s(s(sK1,sK3),sK3)))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_571450,c_481913]) ).
tcf(c_580067,plain,
! [X0: $i] :
( s_col(sK1,s(sK0,s(s(sK2,sK0),sK0)),X0)
| ( sK0 = sK2 )
| ( s(sK0,s(s(sK2,sK0),sK0)) = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_571450,c_482001]) ).
tcf(c_580068,plain,
( s_col(sK2,sK1,s(sK0,s(s(sK2,sK0),sK0)))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_571450,c_481914]) ).
tcf(c_580069,plain,
! [X0: $i] :
( s_col(sK0,s(sK1,s(s(sK2,sK1),sK1)),X0)
| ( sK1 = sK2 )
| ( s(sK1,s(s(sK2,sK1),sK1)) = sK0 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_571450,c_482003]) ).
tcf(c_580070,plain,
( s_col(sK2,sK0,s(sK1,s(s(sK2,sK1),sK1)))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_571450,c_481916]) ).
tcf(c_580071,plain,
! [X0: $i] :
( s_col(sK1,s(sK0,s(s(sK3,sK0),sK0)),X0)
| ( sK0 = sK3 )
| ( s(sK0,s(s(sK3,sK0),sK0)) = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_571450,c_482002]) ).
tcf(c_580072,plain,
( s_col(sK3,sK1,s(sK0,s(s(sK3,sK0),sK0)))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_571450,c_481915]) ).
tcf(c_580073,plain,
! [X0: $i] :
( s_col(sK0,s(sK1,s(s(sK3,sK1),sK1)),X0)
| ( sK1 = sK3 )
| ( s(sK1,s(s(sK3,sK1),sK1)) = sK0 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_571450,c_482004]) ).
tcf(c_580074,plain,
( s_col(sK3,sK0,s(sK1,s(s(sK3,sK1),sK1)))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_571450,c_481917]) ).
tcf(c_580199,plain,
! [X0: $i,X1: $i] : s_t(s(s(X0,X1),s(X1,s(X0,X1))),s(X0,X1),X0),
inference(superposition,[status(thm)],[c_161,c_571468]) ).
tcf(c_580201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(s(X0,s(s(X1,X0),X0)),X0,X1,X3,X0,X2) = X0 )
| ~ s_t(X3,X0,X1)
| ~ s_t(s(X0,s(s(X1,X0),X0)),X2,X3) ),
inference(superposition,[status(thm)],[c_571468,c_480316]) ).
tcf(c_580202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( crossbar(s(X0,s(s(X1,X0),X0)),X0,X1,X2,X3,X1) = X1 )
| ~ s_t(X2,X3,X1)
| ~ s_t(s(X0,s(s(X1,X0),X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_571468,c_480254]) ).
tcf(c_580203,plain,
! [X0: $i,X1: $i] :
( ( s(X0,s(s(X1,X0),X0)) = X0 )
| ( ext(s(X0,s(s(X1,X0),X0)),X0,X0,X1) = X1 ) ),
inference(superposition,[status(thm)],[c_571468,c_480013]) ).
tcf(c_580204,plain,
! [X0: $i,X1: $i] :
( ( s(X0,s(s(X1,X0),X0)) = X0 )
| ( ext(s(X0,s(s(X1,X0),X0)),X0,X1,X0) = X1 ) ),
inference(superposition,[status(thm)],[c_571468,c_480011]) ).
tcf(c_580205,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(s(X1,s(s(X2,X1),X1)),X1,X2,X0,s(X1,s(s(X2,X1),X1))) = s(X1,s(s(X2,X1),X1)) )
| ~ s_t(X0,s(X1,s(s(X2,X1),X1)),X2) ),
inference(superposition,[status(thm)],[c_571468,c_479924]) ).
tcf(c_580206,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ip(s(X0,s(s(X2,X0),X0)),X0,X2,X0,X1) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571468,c_479914]) ).
tcf(c_580207,plain,
! [X0: $i,X1: $i] :
( sameside(X1,s(X0,s(s(X1,X0),X0)),X0)
| ( s(X0,s(s(X1,X0),X0)) = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_571468,c_238]) ).
tcf(c_580208,plain,
! [X0: $i,X1: $i] :
( sameside(X0,s(X0,s(s(X1,X0),X0)),X1)
| ( s(X0,s(s(X1,X0),X0)) = xb )
| ( s(X0,s(s(X1,X0),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_571468,c_237]) ).
tcf(c_580213,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,s(X1,s(s(X2,X1),X1)),X2)
| s_t(s(X1,s(s(X2,X1),X1)),X0,X2)
| ( X1 = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571468,c_147]) ).
tcf(c_580214,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,s(X1,s(s(X2,X1),X1)))
| ( X1 = X2 )
| ( s(X1,s(s(X2,X1),X1)) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571468,c_145]) ).
tcf(c_580215,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,X2)
| sameside(X0,X1,s(X1,s(s(X2,X1),X1)))
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(X1,s(s(X2,X1),X1)) = X1 )
| ~ s_col(X0,X1,s(X1,s(s(X2,X1),X1))) ),
inference(superposition,[status(thm)],[c_571468,c_143]) ).
tcf(c_580216,plain,
! [X0: $i,X1: $i] : ~ sameside(s(X0,s(s(X1,X0),X0)),X0,X1),
inference(superposition,[status(thm)],[c_571468,c_133]) ).
tcf(c_580217,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(s(X1,s(s(X2,X1),X1)),X1,X0)
| ( X1 = X2 )
| ( X0 = X1 )
| ( s(X1,s(s(X2,X1),X1)) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571468,c_131]) ).
tcf(c_580218,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,X1)
| ( X0 = X2 )
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ sameside(s(X0,s(s(X1,X0),X0)),X0,X2) ),
inference(superposition,[status(thm)],[c_571468,c_125]) ).
tcf(c_580219,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,s(s(X1,X0),X0)),X2,X0)
| s_t(s(X0,s(s(X1,X0),X0)),X0,X2)
| ~ s_t(s(X0,s(s(X1,X0),X0)),X2,X1) ),
inference(superposition,[status(thm)],[c_571468,c_109]) ).
tcf(c_580220,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,X1)
| s_t(X0,X1,X2)
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_t(s(X0,s(s(X1,X0),X0)),X0,X2) ),
inference(superposition,[status(thm)],[c_571468,c_108]) ).
tcf(c_580221,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,s(s(X1,X0),X0)),X2,X1)
| s_t(s(X0,s(s(X1,X0),X0)),X1,X2)
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_t(s(X0,s(s(X1,X0),X0)),X0,X2) ),
inference(superposition,[status(thm)],[c_571468,c_107]) ).
tcf(c_580222,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,s(s(X1,X0),X0)),X0,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571468,c_81]) ).
tcf(c_580223,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,s(s(X1,X0),X0)),X0,X2)
| ~ s_t(s(X0,s(s(X1,X0),X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_571468,c_80]) ).
tcf(c_580224,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,s(s(X2,X0),X0)),X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571468,c_79]) ).
tcf(c_580225,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,s(s(X1,X0),X0)),X1,X2)
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571468,c_78]) ).
tcf(c_580226,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,X2)
| ~ s_t(s(X0,s(s(X1,X0),X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_571468,c_77]) ).
tcf(c_580227,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,s(s(X2,X0),X0)),X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571468,c_76]) ).
tcf(c_580228,plain,
! [X0: $i,X1: $i] :
( ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_t(X0,s(X0,s(s(X1,X0),X0)),X1) ),
inference(superposition,[status(thm)],[c_571468,c_75]) ).
tcf(c_580230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,s(X1,s(s(ext(X0,X1,X2,X3),X1),X1)),ext(X0,X1,X2,X3))
| s_t(s(X1,s(s(ext(X0,X1,X2,X3),X1),X1)),X0,ext(X0,X1,X2,X3))
| ( ext(X0,X1,X2,X3) = X1 ) ),
inference(superposition,[status(thm)],[c_571468,c_481802]) ).
tcf(c_580231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,X0,s(X0,s(s(ext(X1,X0,X2,X3),X0),X0)))
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( s(X0,s(s(ext(X1,X0,X2,X3),X0),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_571468,c_481222]) ).
tcf(c_580232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X0,s(s(ext(X1,X0,X2,X3),X0),X0)) = X0 )
| ( ext(s(X0,s(s(ext(X1,X0,X2,X3),X0),X0)),X0,X2,X3) = ext(X1,X0,X2,X3) ) ),
inference(superposition,[status(thm)],[c_571468,c_480012]) ).
tcf(c_580233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,s(ip(X0,X1,X2,X3,X4),s(s(X3,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4))),X3)
| s_t(s(ip(X0,X1,X2,X3,X4),s(s(X3,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4))),X1,X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571468,c_481803]) ).
tcf(c_580234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X4),s(ip(X0,X1,X2,X3,X4),s(s(X3,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4))))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(ip(X0,X1,X2,X3,X4),s(s(X3,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4))) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571468,c_481223]) ).
tcf(c_580235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X4,s(ip(X0,X1,X2,X3,X4),s(s(X0,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4))),X0)
| s_t(s(ip(X0,X1,X2,X3,X4),s(s(X0,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4))),X4,X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571468,c_481804]) ).
tcf(c_580236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),s(ip(X0,X1,X2,X3,X4),s(s(X0,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4))))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(ip(X0,X1,X2,X3,X4),s(s(X0,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4))) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571468,c_481224]) ).
tcf(c_580237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,s(X1,s(s(ins(X2,X3,X0,X1),X1),X1)),ins(X2,X3,X0,X1))
| s_t(s(X1,s(s(ins(X2,X3,X0,X1),X1),X1)),X0,ins(X2,X3,X0,X1))
| ( ins(X2,X3,X0,X1) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_571468,c_481809]) ).
tcf(c_580238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,s(X1,s(s(ins(X2,X3,X0,X1),X1),X1)))
| ( X0 = X1 )
| ( ins(X2,X3,X0,X1) = X1 )
| ( s(X1,s(s(ins(X2,X3,X0,X1),X1),X1)) = X1 )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_571468,c_481229]) ).
tcf(c_580239,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,s(X1,s(s(c63(X0,X1,X2),X1),X1)),c63(X0,X1,X2))
| s_t(s(X1,s(s(c63(X0,X1,X2),X1),X1)),X2,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571468,c_571066]) ).
tcf(c_580240,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,s(X1,s(s(c63(X0,X1,X2),X1),X1)),c63(X0,X1,X2))
| s_t(s(X1,s(s(c63(X0,X1,X2),X1),X1)),X0,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571468,c_570690]) ).
tcf(c_580241,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,X1,s(X1,s(s(c63(X0,X1,X2),X1),X1)))
| ( X1 = X2 )
| ( s(X1,s(s(c63(X0,X1,X2),X1),X1)) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571468,c_543337]) ).
tcf(c_580242,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,s(X1,s(s(c63(X0,X1,X2),X1),X1)))
| ( X0 = X1 )
| ( s(X1,s(s(c63(X0,X1,X2),X1),X1)) = X1 )
| ~ sameside(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571468,c_542847]) ).
tcf(c_580243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X0,s(s(ins(X2,X3,X0,X1),X0),X0)) = X0 )
| ( ext(s(X0,s(s(ins(X2,X3,X0,X1),X0),X0)),X0,X2,X3) = ins(X2,X3,X0,X1) )
| ~ le(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_571468,c_480795]) ).
tcf(c_580244,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X3,s(crossbar(X0,X1,X2,X4,X5,X3),s(s(X2,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3))),X2)
| s_t(s(crossbar(X0,X1,X2,X4,X5,X3),s(s(X2,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3))),X3,X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571468,c_481807]) ).
tcf(c_580245,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X3,crossbar(X0,X1,X2,X4,X5,X3),s(crossbar(X0,X1,X2,X4,X5,X3),s(s(X2,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3))))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( s(crossbar(X0,X1,X2,X4,X5,X3),s(s(X2,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3))) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571468,c_481227]) ).
tcf(c_580246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,s(crossbar(X0,X1,X2,X4,X5,X3),s(s(X5,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3))),X5)
| s_t(s(crossbar(X0,X1,X2,X4,X5,X3),s(s(X5,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3))),X1,X5)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571468,c_481808]) ).
tcf(c_580247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X1,crossbar(X0,X1,X2,X4,X5,X3),s(crossbar(X0,X1,X2,X4,X5,X3),s(s(X5,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3))))
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( s(crossbar(X0,X1,X2,X4,X5,X3),s(s(X5,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3))) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_571468,c_481228]) ).
tcf(c_580779,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_100,c_482005]) ).
tcf(c_580780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK1,f813(sK0,sK2,X1,X2,X0),X3)
| ( sK0 = sK2 )
| ( f813(sK0,sK2,X1,X2,X0) = sK1 )
| ~ s_col(sK0,sK2,X3)
| ~ perpAt(sK0,sK2,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_482005]) ).
tcf(c_580781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK1,g813(X0,X1,sK0,sK2,X2),X3)
| ( sK0 = sK2 )
| ( g813(X0,X1,sK0,sK2,X2) = sK1 )
| ~ s_col(sK0,sK2,X3)
| ~ perpAt(X0,X1,X2,sK0,sK2) ),
inference(superposition,[status(thm)],[c_196,c_482005]) ).
tcf(c_580782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK0,sK2,X2,X0,X1)
| s_col(sK1,f811(sK0,sK2,X0,X1,X2),X3)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( f811(sK0,sK2,X0,X1,X2) = sK1 )
| ~ s_col(sK0,sK2,X3)
| ~ s_col(sK0,sK2,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_482005]) ).
tcf(c_580783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(X0,X1,X2,sK0,sK2)
| s_col(sK1,g811(X0,X1,sK0,sK2,X2),X3)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( g811(X0,X1,sK0,sK2,X2) = sK1 )
| ~ s_col(sK0,sK2,X3)
| ~ s_col(sK0,sK2,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_482005]) ).
tcf(c_580784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK1,insert5(X0,X1,X2,sK0,sK2),X3)
| ( sK0 = sK2 )
| ( insert5(X0,X1,X2,sK0,sK2) = sK1 )
| ~ s_col(sK0,sK2,X3)
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK0,sK2) ),
inference(superposition,[status(thm)],[c_480519,c_482005]) ).
tcf(c_580785,plain,
! [X0: $i] :
( s_col(sK1,sK2,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_7182,c_482005]) ).
tcf(c_580787,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(sK0,sK2,X1,X2),X0)
| ( sK0 = sK2 )
| ( ext(sK0,sK2,X1,X2) = sK1 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_484594,c_482005]) ).
tcf(c_580788,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(sK2,sK0,X1,X2),X0)
| ( sK0 = sK2 )
| ( ext(sK2,sK0,X1,X2) = sK1 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_484758,c_482005]) ).
tcf(c_580789,plain,
! [X0: $i] :
( s_col(sK1,s(sK2,sK0),X0)
| ( sK0 = sK2 )
| ( s(sK2,sK0) = sK1 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_485948,c_482005]) ).
tcf(c_580790,plain,
! [X0: $i] :
( s_col(sK1,s(sK0,sK2),X0)
| ( sK0 = sK2 )
| ( s(sK0,sK2) = sK1 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_486075,c_482005]) ).
tcf(c_580791,plain,
! [X0: $i] :
( s_col(sK1,s(sK2,s(sK0,sK2)),X0)
| ( sK0 = sK2 )
| ( s(sK2,s(sK0,sK2)) = sK1 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_553533,c_482005]) ).
tcf(c_580792,plain,
! [X0: $i] :
( s_col(sK1,s(sK0,s(sK2,sK0)),X0)
| ( sK0 = sK2 )
| ( s(sK0,s(sK2,sK0)) = sK1 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_553998,c_482005]) ).
tcf(c_580793,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(s(sK0,sK2),sK2,X1,X2),X0)
| ( sK0 = sK2 )
| ( ext(s(sK0,sK2),sK2,X1,X2) = sK1 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_558033,c_482005]) ).
tcf(c_580794,plain,
! [X0: $i] :
( s_col(sK1,s(sK2,s(s(sK0,sK2),sK2)),X0)
| ( sK0 = sK2 )
| ( s(sK2,s(s(sK0,sK2),sK2)) = sK1 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_571450,c_482005]) ).
tcf(c_580795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK1,ext(X1,sK2,X2,X3),X0)
| ( sK0 = sK2 )
| ( X1 = sK2 )
| ( ext(X1,sK2,X2,X3) = sK2 )
| ( ext(X1,sK2,X2,X3) = sK1 )
| ~ sameside(sK0,sK2,X1)
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_481736,c_482005]) ).
tcf(c_580796,plain,
! [X0: $i] :
( s_col(sK1,s(s(sK2,sK0),sK0),X0)
| ( sK0 = sK2 )
| ( s(s(sK2,sK0),sK0) = sK1 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_517629,c_482005]) ).
tcf(c_580797,plain,
! [X0: $i] :
( s_col(sK1,s(s(sK0,sK2),sK2),X0)
| ( sK0 = sK2 )
| ( s(s(sK0,sK2),sK2) = sK1 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_519197,c_482005]) ).
tcf(c_580798,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(sK0,s(sK2,sK0),X1,X2),X0)
| ( sK0 = sK2 )
| ( ext(sK0,s(sK2,sK0),X1,X2) = sK1 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_523155,c_482005]) ).
tcf(c_580799,plain,
! [X0: $i] :
( s_col(sK1,s(s(s(sK2,sK0),sK0),sK0),X0)
| ( sK0 = sK2 )
| ( s(s(s(sK2,sK0),sK0),sK0) = sK1 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_529295,c_482005]) ).
tcf(c_580800,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(sK2,s(sK0,sK2),X1,X2),X0)
| ( sK0 = sK2 )
| ( ext(sK2,s(sK0,sK2),X1,X2) = sK1 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_535610,c_482005]) ).
tcf(c_580801,plain,
! [X0: $i] :
( s_col(sK1,s(s(s(sK0,sK2),sK2),sK2),X0)
| ( sK0 = sK2 )
| ( s(s(s(sK0,sK2),sK2),sK2) = sK1 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_543639,c_482005]) ).
tcf(c_580802,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,s(sK2,ext(sK2,sK0,X1,X2)),X0)
| ( sK0 = sK2 )
| ( s(sK2,ext(sK2,sK0,X1,X2)) = sK1 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_548058,c_482005]) ).
tcf(c_580803,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,s(sK0,ext(sK0,sK2,X1,X2)),X0)
| ( sK0 = sK2 )
| ( s(sK0,ext(sK0,sK2,X1,X2)) = sK1 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_548460,c_482005]) ).
tcf(c_580804,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,s(ext(sK0,sK2,X1,X2),sK0),X0)
| ( sK0 = sK2 )
| ( s(ext(sK0,sK2,X1,X2),sK0) = sK1 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_499649,c_482005]) ).
tcf(c_580805,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,s(ext(sK2,sK0,X1,X2),sK2),X0)
| ( sK0 = sK2 )
| ( s(ext(sK2,sK0,X1,X2),sK2) = sK1 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_503147,c_482005]) ).
tcf(c_580985,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_100,c_482006]) ).
tcf(c_580986,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK1,f813(sK0,sK3,X1,X2,X0),X3)
| ( sK0 = sK3 )
| ( f813(sK0,sK3,X1,X2,X0) = sK1 )
| ~ s_col(sK0,sK3,X3)
| ~ perpAt(sK0,sK3,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_482006]) ).
tcf(c_580987,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK1,g813(X0,X1,sK0,sK3,X2),X3)
| ( sK0 = sK3 )
| ( g813(X0,X1,sK0,sK3,X2) = sK1 )
| ~ s_col(sK0,sK3,X3)
| ~ perpAt(X0,X1,X2,sK0,sK3) ),
inference(superposition,[status(thm)],[c_196,c_482006]) ).
tcf(c_580988,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK0,sK3,X2,X0,X1)
| s_col(sK1,f811(sK0,sK3,X0,X1,X2),X3)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( f811(sK0,sK3,X0,X1,X2) = sK1 )
| ~ s_col(sK0,sK3,X3)
| ~ s_col(sK0,sK3,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_482006]) ).
tcf(c_580989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(X0,X1,X2,sK0,sK3)
| s_col(sK1,g811(X0,X1,sK0,sK3,X2),X3)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( g811(X0,X1,sK0,sK3,X2) = sK1 )
| ~ s_col(sK0,sK3,X3)
| ~ s_col(sK0,sK3,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_482006]) ).
tcf(c_580990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK1,insert5(X0,X1,X2,sK0,sK3),X3)
| ( sK0 = sK3 )
| ( insert5(X0,X1,X2,sK0,sK3) = sK1 )
| ~ s_col(sK0,sK3,X3)
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK0,sK3) ),
inference(superposition,[status(thm)],[c_480519,c_482006]) ).
tcf(c_580991,plain,
! [X0: $i] :
( s_col(sK1,sK3,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_7182,c_482006]) ).
tcf(c_580993,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(sK0,sK3,X1,X2),X0)
| ( sK0 = sK3 )
| ( ext(sK0,sK3,X1,X2) = sK1 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_484594,c_482006]) ).
tcf(c_580994,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(sK3,sK0,X1,X2),X0)
| ( sK0 = sK3 )
| ( ext(sK3,sK0,X1,X2) = sK1 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_484758,c_482006]) ).
tcf(c_580995,plain,
! [X0: $i] :
( s_col(sK1,s(sK3,sK0),X0)
| ( sK0 = sK3 )
| ( s(sK3,sK0) = sK1 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_485948,c_482006]) ).
tcf(c_580996,plain,
! [X0: $i] :
( s_col(sK1,s(sK0,sK3),X0)
| ( sK0 = sK3 )
| ( s(sK0,sK3) = sK1 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_486075,c_482006]) ).
tcf(c_580997,plain,
! [X0: $i] :
( s_col(sK1,s(sK3,s(sK0,sK3)),X0)
| ( sK0 = sK3 )
| ( s(sK3,s(sK0,sK3)) = sK1 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_553533,c_482006]) ).
tcf(c_580998,plain,
! [X0: $i] :
( s_col(sK1,s(sK0,s(sK3,sK0)),X0)
| ( sK0 = sK3 )
| ( s(sK0,s(sK3,sK0)) = sK1 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_553998,c_482006]) ).
tcf(c_580999,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(s(sK0,sK3),sK3,X1,X2),X0)
| ( sK0 = sK3 )
| ( ext(s(sK0,sK3),sK3,X1,X2) = sK1 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_558033,c_482006]) ).
tcf(c_581000,plain,
! [X0: $i] :
( s_col(sK1,s(sK3,s(s(sK0,sK3),sK3)),X0)
| ( sK0 = sK3 )
| ( s(sK3,s(s(sK0,sK3),sK3)) = sK1 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_571450,c_482006]) ).
tcf(c_581001,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK1,ext(X1,sK3,X2,X3),X0)
| ( sK0 = sK3 )
| ( X1 = sK3 )
| ( ext(X1,sK3,X2,X3) = sK3 )
| ( ext(X1,sK3,X2,X3) = sK1 )
| ~ sameside(sK0,sK3,X1)
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_481736,c_482006]) ).
tcf(c_581002,plain,
! [X0: $i] :
( s_col(sK1,s(s(sK3,sK0),sK0),X0)
| ( sK0 = sK3 )
| ( s(s(sK3,sK0),sK0) = sK1 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_517629,c_482006]) ).
tcf(c_581003,plain,
! [X0: $i] :
( s_col(sK1,s(s(sK0,sK3),sK3),X0)
| ( sK0 = sK3 )
| ( s(s(sK0,sK3),sK3) = sK1 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_519197,c_482006]) ).
tcf(c_581004,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(sK0,s(sK3,sK0),X1,X2),X0)
| ( sK0 = sK3 )
| ( ext(sK0,s(sK3,sK0),X1,X2) = sK1 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_523155,c_482006]) ).
tcf(c_581005,plain,
! [X0: $i] :
( s_col(sK1,s(s(s(sK3,sK0),sK0),sK0),X0)
| ( sK0 = sK3 )
| ( s(s(s(sK3,sK0),sK0),sK0) = sK1 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_529295,c_482006]) ).
tcf(c_581006,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(sK3,s(sK0,sK3),X1,X2),X0)
| ( sK0 = sK3 )
| ( ext(sK3,s(sK0,sK3),X1,X2) = sK1 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_535610,c_482006]) ).
tcf(c_581007,plain,
! [X0: $i] :
( s_col(sK1,s(s(s(sK0,sK3),sK3),sK3),X0)
| ( sK0 = sK3 )
| ( s(s(s(sK0,sK3),sK3),sK3) = sK1 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_543639,c_482006]) ).
tcf(c_581008,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,s(sK3,ext(sK3,sK0,X1,X2)),X0)
| ( sK0 = sK3 )
| ( s(sK3,ext(sK3,sK0,X1,X2)) = sK1 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_548058,c_482006]) ).
tcf(c_581009,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,s(sK0,ext(sK0,sK3,X1,X2)),X0)
| ( sK0 = sK3 )
| ( s(sK0,ext(sK0,sK3,X1,X2)) = sK1 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_548460,c_482006]) ).
tcf(c_581010,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,s(ext(sK0,sK3,X1,X2),sK0),X0)
| ( sK0 = sK3 )
| ( s(ext(sK0,sK3,X1,X2),sK0) = sK1 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_499649,c_482006]) ).
tcf(c_581011,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,s(ext(sK3,sK0,X1,X2),sK3),X0)
| ( sK0 = sK3 )
| ( s(ext(sK3,sK0,X1,X2),sK3) = sK1 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_503147,c_482006]) ).
tcf(c_581260,plain,
! [X0: $i] :
( s_col(sK2,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_100,c_482007]) ).
tcf(c_581261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK2,f813(sK1,sK0,X1,X2,X0),X3)
| ( sK0 = sK1 )
| ( f813(sK1,sK0,X1,X2,X0) = sK2 )
| ~ s_col(sK1,sK0,X3)
| ~ perpAt(sK1,sK0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_482007]) ).
tcf(c_581262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK2,g813(X0,X1,sK1,sK0,X2),X3)
| ( sK0 = sK1 )
| ( g813(X0,X1,sK1,sK0,X2) = sK2 )
| ~ s_col(sK1,sK0,X3)
| ~ perpAt(X0,X1,X2,sK1,sK0) ),
inference(superposition,[status(thm)],[c_196,c_482007]) ).
tcf(c_581263,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK1,sK0,X2,X0,X1)
| s_col(sK2,f811(sK1,sK0,X0,X1,X2),X3)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( f811(sK1,sK0,X0,X1,X2) = sK2 )
| ~ s_col(sK1,sK0,X3)
| ~ s_col(sK1,sK0,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_482007]) ).
tcf(c_581264,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(X0,X1,X2,sK1,sK0)
| s_col(sK2,g811(X0,X1,sK1,sK0,X2),X3)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( g811(X0,X1,sK1,sK0,X2) = sK2 )
| ~ s_col(sK1,sK0,X3)
| ~ s_col(sK1,sK0,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_482007]) ).
tcf(c_581265,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK2,insert5(X0,X1,X2,sK1,sK0),X3)
| ( sK0 = sK1 )
| ( insert5(X0,X1,X2,sK1,sK0) = sK2 )
| ~ s_col(sK1,sK0,X3)
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK1,sK0) ),
inference(superposition,[status(thm)],[c_480519,c_482007]) ).
tcf(c_581266,plain,
! [X0: $i] :
( s_col(sK2,sK0,X0)
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_7182,c_482007]) ).
tcf(c_581268,plain,
! [X0: $i] :
( s_col(sK2,sK3,X0)
| ( sK2 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_480477,c_482007]) ).
tcf(c_581269,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,ext(sK1,sK0,X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(sK1,sK0,X1,X2) = sK2 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_484594,c_482007]) ).
tcf(c_581270,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,ext(sK0,sK1,X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(sK0,sK1,X1,X2) = sK2 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_484758,c_482007]) ).
tcf(c_581271,plain,
! [X0: $i] :
( s_col(sK2,s(sK0,sK1),X0)
| ( sK0 = sK1 )
| ( s(sK0,sK1) = sK2 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_485948,c_482007]) ).
tcf(c_581272,plain,
! [X0: $i] :
( s_col(sK2,s(sK1,sK0),X0)
| ( sK0 = sK1 )
| ( s(sK1,sK0) = sK2 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_486075,c_482007]) ).
tcf(c_581273,plain,
! [X0: $i] :
( s_col(sK2,s(sK0,s(sK1,sK0)),X0)
| ( sK0 = sK1 )
| ( s(sK0,s(sK1,sK0)) = sK2 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_553533,c_482007]) ).
tcf(c_581274,plain,
! [X0: $i] :
( s_col(sK2,s(sK1,s(sK0,sK1)),X0)
| ( sK0 = sK1 )
| ( s(sK1,s(sK0,sK1)) = sK2 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_553998,c_482007]) ).
tcf(c_581275,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,ext(s(sK1,sK0),sK0,X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(s(sK1,sK0),sK0,X1,X2) = sK2 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_558033,c_482007]) ).
tcf(c_581276,plain,
! [X0: $i] :
( s_col(sK2,s(sK0,s(s(sK1,sK0),sK0)),X0)
| ( sK0 = sK1 )
| ( s(sK0,s(s(sK1,sK0),sK0)) = sK2 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_571450,c_482007]) ).
tcf(c_581277,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK2,ext(X1,sK0,X2,X3),X0)
| ( sK0 = sK1 )
| ( X1 = sK0 )
| ( ext(X1,sK0,X2,X3) = sK2 )
| ( ext(X1,sK0,X2,X3) = sK0 )
| ~ sameside(sK1,sK0,X1)
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_481736,c_482007]) ).
tcf(c_581278,plain,
! [X0: $i] :
( s_col(sK2,s(s(sK0,sK1),sK1),X0)
| ( sK0 = sK1 )
| ( s(s(sK0,sK1),sK1) = sK2 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_517629,c_482007]) ).
tcf(c_581279,plain,
! [X0: $i] :
( s_col(sK2,s(s(sK1,sK0),sK0),X0)
| ( sK0 = sK1 )
| ( s(s(sK1,sK0),sK0) = sK2 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_519197,c_482007]) ).
tcf(c_581280,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,ext(sK1,s(sK0,sK1),X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(sK1,s(sK0,sK1),X1,X2) = sK2 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_523155,c_482007]) ).
tcf(c_581281,plain,
! [X0: $i] :
( s_col(sK2,s(s(s(sK0,sK1),sK1),sK1),X0)
| ( sK0 = sK1 )
| ( s(s(s(sK0,sK1),sK1),sK1) = sK2 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_529295,c_482007]) ).
tcf(c_581282,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,ext(sK0,s(sK1,sK0),X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(sK0,s(sK1,sK0),X1,X2) = sK2 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_535610,c_482007]) ).
tcf(c_581283,plain,
! [X0: $i] :
( s_col(sK2,s(s(s(sK1,sK0),sK0),sK0),X0)
| ( sK0 = sK1 )
| ( s(s(s(sK1,sK0),sK0),sK0) = sK2 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_543639,c_482007]) ).
tcf(c_581284,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,s(sK0,ext(sK0,sK1,X1,X2)),X0)
| ( sK0 = sK1 )
| ( s(sK0,ext(sK0,sK1,X1,X2)) = sK2 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_548058,c_482007]) ).
tcf(c_581285,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,s(sK1,ext(sK1,sK0,X1,X2)),X0)
| ( sK0 = sK1 )
| ( s(sK1,ext(sK1,sK0,X1,X2)) = sK2 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_548460,c_482007]) ).
tcf(c_581286,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,s(ext(sK1,sK0,X1,X2),sK1),X0)
| ( sK0 = sK1 )
| ( s(ext(sK1,sK0,X1,X2),sK1) = sK2 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_499649,c_482007]) ).
tcf(c_581287,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,s(ext(sK0,sK1,X1,X2),sK0),X0)
| ( sK0 = sK1 )
| ( s(ext(sK0,sK1,X1,X2),sK0) = sK2 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_503147,c_482007]) ).
tcf(c_581437,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(s(X0,X1),X0,ext(X1,s(X0,X1),X2,X3)),
inference(superposition,[status(thm)],[c_161,c_576541]) ).
tcf(c_581439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,ext(s(X1,X0),X0,X3,X4),X2)
| ( X0 = X1 )
| ( ext(s(X1,X0),X0,X3,X4) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_576541,c_481998]) ).
tcf(c_581441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(s(X1,X0),X0,X2,X3) = X1 )
| ~ s_r(X0,X1,ext(s(X1,X0),X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_576541,c_187]) ).
tcf(c_581442,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(ext(s(X0,X1),X1,X3,X4),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_576541,c_181]) ).
tcf(c_581443,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X7)
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(s(X2,X3),X3,X4,X5) = X6 )
| ~ s_col(X3,X2,X7)
| ~ s_col(X3,X2,X6)
| ~ s_col(X0,X1,X6)
| ~ s_col(X0,X1,ext(s(X2,X3),X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_576541,c_152]) ).
tcf(c_581444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(ext(s(X1,X0),X0,X4,X5),X2,X3)
| ( X0 = X1 )
| ( ext(s(X1,X0),X0,X4,X5) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_576541,c_151]) ).
tcf(c_581445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(s(X1,X0),X0,X3,X4),X2)
| ( X0 = X1 )
| ( ext(s(X1,X0),X0,X3,X4) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_576541,c_148]) ).
tcf(c_581446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,ext(s(X1,X0),X0,X2,X3))
| s_t(X0,X1,ext(s(X1,X0),X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_576541,c_134]) ).
tcf(c_581452,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(X1,X0,X4,X6,X7)
| ( X6 = X7 )
| ( X4 = X5 )
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = X4 )
| ~ s_col(X6,X7,X5)
| ~ s_col(X6,X7,X4)
| ~ s_col(X1,X0,X4)
| ~ s_r(ext(s(X0,X1),X1,X2,X3),X4,X5) ),
inference(superposition,[status(thm)],[c_576541,c_200]) ).
tcf(c_581454,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,ext(s(sK1,sK0),sK0,X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(s(sK1,sK0),sK0,X1,X2) = sK3 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_576541,c_481997]) ).
tcf(c_581455,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,ext(s(sK1,sK0),sK0,X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(s(sK1,sK0),sK0,X1,X2) = sK2 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_576541,c_481996]) ).
tcf(c_581456,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK3,ext(s(sK1,sK0),sK0,X0,X1))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_576541,c_481910]) ).
tcf(c_581457,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK2,ext(s(sK1,sK0),sK0,X0,X1))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_576541,c_481909]) ).
tcf(c_581458,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(s(sK2,sK0),sK0,X1,X2),X0)
| ( sK0 = sK2 )
| ( ext(s(sK2,sK0),sK0,X1,X2) = sK1 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_576541,c_482005]) ).
tcf(c_581459,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK1,ext(s(sK2,sK0),sK0,X0,X1))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_576541,c_481918]) ).
tcf(c_581460,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(s(sK3,sK0),sK0,X1,X2),X0)
| ( sK0 = sK3 )
| ( ext(s(sK3,sK0),sK0,X1,X2) = sK1 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_576541,c_482006]) ).
tcf(c_581461,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK1,ext(s(sK3,sK0),sK0,X0,X1))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_576541,c_481919]) ).
tcf(c_581462,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(s(sK2,sK1),sK1,X1,X2),X0)
| ( sK1 = sK2 )
| ( ext(s(sK2,sK1),sK1,X1,X2) = sK0 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_576541,c_481999]) ).
tcf(c_581463,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK0,ext(s(sK2,sK1),sK1,X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_576541,c_481912]) ).
tcf(c_581464,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK2,ext(s(sK0,sK1),sK1,X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(s(sK0,sK1),sK1,X1,X2) = sK2 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_576541,c_482007]) ).
tcf(c_581465,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK3,ext(s(sK0,sK1),sK1,X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_576541,c_481921]) ).
tcf(c_581466,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK2,ext(s(sK0,sK1),sK1,X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_576541,c_481920]) ).
tcf(c_581467,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(s(sK3,sK1),sK1,X1,X2),X0)
| ( sK1 = sK3 )
| ( ext(s(sK3,sK1),sK1,X1,X2) = sK0 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_576541,c_482000]) ).
tcf(c_581468,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK0,ext(s(sK3,sK1),sK1,X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_576541,c_481913]) ).
tcf(c_581469,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(s(sK0,sK2),sK2,X1,X2),X0)
| ( sK0 = sK2 )
| ( ext(s(sK0,sK2),sK2,X1,X2) = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_576541,c_482001]) ).
tcf(c_581470,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK1,ext(s(sK0,sK2),sK2,X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_576541,c_481914]) ).
tcf(c_581471,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(s(sK1,sK2),sK2,X1,X2),X0)
| ( sK1 = sK2 )
| ( ext(s(sK1,sK2),sK2,X1,X2) = sK0 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_576541,c_482003]) ).
tcf(c_581472,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK0,ext(s(sK1,sK2),sK2,X0,X1))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_576541,c_481916]) ).
tcf(c_581473,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,ext(s(sK0,sK3),sK3,X1,X2),X0)
| ( sK0 = sK3 )
| ( ext(s(sK0,sK3),sK3,X1,X2) = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_576541,c_482002]) ).
tcf(c_581474,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK1,ext(s(sK0,sK3),sK3,X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_576541,c_481915]) ).
tcf(c_581475,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK0,ext(s(sK1,sK3),sK3,X1,X2),X0)
| ( sK1 = sK3 )
| ( ext(s(sK1,sK3),sK3,X1,X2) = sK0 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_576541,c_482004]) ).
tcf(c_581476,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK0,ext(s(sK1,sK3),sK3,X0,X1))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_576541,c_481917]) ).
tcf(c_581619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(ext(X0,s(X1,X0),X2,X3),s(X1,X0),X1),
inference(superposition,[status(thm)],[c_161,c_576542]) ).
tcf(c_581621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_576542,c_481998]) ).
tcf(c_581623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ~ s_r(ext(s(X0,X1),X1,X2,X3),X1,X0) ),
inference(superposition,[status(thm)],[c_576542,c_187]) ).
tcf(c_581624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X1,ext(s(X1,X0),X0,X2,X3),X4)
| ( ext(s(X1,X0),X0,X2,X3) = X0 )
| ~ s_r(X0,ext(s(X1,X0),X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_576542,c_181]) ).
tcf(c_581625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X6,X7,X5)
| ( X6 = X7 )
| ( X0 = X4 )
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ~ s_col(X6,X7,X4)
| ~ s_col(X6,X7,X0)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X1,X5)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_576542,c_152]) ).
tcf(c_581626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X4,X5)
| ( X0 = X4 )
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X1,X5)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_576542,c_151]) ).
tcf(c_581627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(s(X0,X1),X1,X2,X3),X0,X4)
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_576542,c_148]) ).
tcf(c_581634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(ext(s(X0,X1),X1,X2,X3),X1,X4,X5,X6)
| ( X5 = X6 )
| ( X4 = X7 )
| ( X0 = X4 )
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ~ s_r(X0,X4,X7)
| ~ s_col(X5,X6,X7)
| ~ s_col(X5,X6,X4)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_576542,c_200]) ).
tcf(c_581635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ext(s(X1,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X5,X6),ip(X0,X1,X2,X3,X4),X3)
| sameside(ext(s(X1,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X5,X6),ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( ext(s(X1,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_576542,c_481625]) ).
tcf(c_581636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(ext(s(X4,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X5,X6),ip(X0,X1,X2,X3,X4),X4)
| sameside(ext(s(X4,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X5,X6),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( ext(s(X4,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4),X5,X6) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_576542,c_481626]) ).
tcf(c_581637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(ext(s(ext(X0,X1,X2,X3),X1),X1,X4,X5),X1,X0)
| sameside(ext(s(ext(X0,X1,X2,X3),X1),X1,X4,X5),X1,ext(X0,X1,X2,X3))
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( ext(s(ext(X0,X1,X2,X3),X1),X1,X4,X5) = X1 ) ),
inference(superposition,[status(thm)],[c_576542,c_481634]) ).
tcf(c_581638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(ext(s(X3,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X3)
| sameside(ext(s(X3,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( ext(s(X3,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X6,X7) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_576542,c_481629]) ).
tcf(c_581639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( sameside(ext(s(X1,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X5)
| sameside(ext(s(X1,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X6,X7),crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( ext(s(X1,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3),X6,X7) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_576542,c_481630]) ).
tcf(c_581721,plain,
! [X0: $i] :
( s_col(sK3,sK1,X0)
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_100,c_482008]) ).
tcf(c_581722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK3,f813(sK1,sK0,X1,X2,X0),X3)
| ( sK0 = sK1 )
| ( f813(sK1,sK0,X1,X2,X0) = sK3 )
| ~ s_col(sK1,sK0,X3)
| ~ perpAt(sK1,sK0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_482008]) ).
tcf(c_581723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK3,g813(X0,X1,sK1,sK0,X2),X3)
| ( sK0 = sK1 )
| ( g813(X0,X1,sK1,sK0,X2) = sK3 )
| ~ s_col(sK1,sK0,X3)
| ~ perpAt(X0,X1,X2,sK1,sK0) ),
inference(superposition,[status(thm)],[c_196,c_482008]) ).
tcf(c_581724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(sK1,sK0,X2,X0,X1)
| s_col(sK3,f811(sK1,sK0,X0,X1,X2),X3)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( f811(sK1,sK0,X0,X1,X2) = sK3 )
| ~ s_col(sK1,sK0,X3)
| ~ s_col(sK1,sK0,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_256,c_482008]) ).
tcf(c_581725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(X0,X1,X2,sK1,sK0)
| s_col(sK3,g811(X0,X1,sK1,sK0,X2),X3)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( g811(X0,X1,sK1,sK0,X2) = sK3 )
| ~ s_col(sK1,sK0,X3)
| ~ s_col(sK1,sK0,X2)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_257,c_482008]) ).
tcf(c_581726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK3,insert5(X0,X1,X2,sK1,sK0),X3)
| ( sK0 = sK1 )
| ( insert5(X0,X1,X2,sK1,sK0) = sK3 )
| ~ s_col(sK1,sK0,X3)
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,sK1,sK0) ),
inference(superposition,[status(thm)],[c_480519,c_482008]) ).
tcf(c_581727,plain,
! [X0: $i] :
( s_col(sK3,sK0,X0)
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_7182,c_482008]) ).
tcf(c_581728,plain,
! [X0: $i] :
( s_col(sK3,sK2,X0)
| ( sK2 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_480476,c_482008]) ).
tcf(c_581730,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,ext(sK1,sK0,X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(sK1,sK0,X1,X2) = sK3 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_484594,c_482008]) ).
tcf(c_581731,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,ext(sK0,sK1,X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(sK0,sK1,X1,X2) = sK3 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_484758,c_482008]) ).
tcf(c_581732,plain,
! [X0: $i] :
( s_col(sK3,s(sK0,sK1),X0)
| ( sK0 = sK1 )
| ( s(sK0,sK1) = sK3 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_485948,c_482008]) ).
tcf(c_581733,plain,
! [X0: $i] :
( s_col(sK3,s(sK1,sK0),X0)
| ( sK0 = sK1 )
| ( s(sK1,sK0) = sK3 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_486075,c_482008]) ).
tcf(c_581734,plain,
! [X0: $i] :
( s_col(sK3,s(sK0,s(sK1,sK0)),X0)
| ( sK0 = sK1 )
| ( s(sK0,s(sK1,sK0)) = sK3 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_553533,c_482008]) ).
tcf(c_581735,plain,
! [X0: $i] :
( s_col(sK3,s(sK1,s(sK0,sK1)),X0)
| ( sK0 = sK1 )
| ( s(sK1,s(sK0,sK1)) = sK3 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_553998,c_482008]) ).
tcf(c_581736,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,ext(s(sK1,sK0),sK0,X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(s(sK1,sK0),sK0,X1,X2) = sK3 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_558033,c_482008]) ).
tcf(c_581737,plain,
! [X0: $i] :
( s_col(sK3,s(sK0,s(s(sK1,sK0),sK0)),X0)
| ( sK0 = sK1 )
| ( s(sK0,s(s(sK1,sK0),sK0)) = sK3 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_571450,c_482008]) ).
tcf(c_581738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK3,ext(X1,sK0,X2,X3),X0)
| ( sK0 = sK1 )
| ( X1 = sK0 )
| ( ext(X1,sK0,X2,X3) = sK3 )
| ( ext(X1,sK0,X2,X3) = sK0 )
| ~ sameside(sK1,sK0,X1)
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_481736,c_482008]) ).
tcf(c_581739,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,ext(s(sK0,sK1),sK1,X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(s(sK0,sK1),sK1,X1,X2) = sK3 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_576541,c_482008]) ).
tcf(c_581740,plain,
! [X0: $i] :
( s_col(sK3,s(s(sK0,sK1),sK1),X0)
| ( sK0 = sK1 )
| ( s(s(sK0,sK1),sK1) = sK3 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_517629,c_482008]) ).
tcf(c_581741,plain,
! [X0: $i] :
( s_col(sK3,s(s(sK1,sK0),sK0),X0)
| ( sK0 = sK1 )
| ( s(s(sK1,sK0),sK0) = sK3 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_519197,c_482008]) ).
tcf(c_581742,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,ext(sK1,s(sK0,sK1),X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(sK1,s(sK0,sK1),X1,X2) = sK3 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_523155,c_482008]) ).
tcf(c_581743,plain,
! [X0: $i] :
( s_col(sK3,s(s(s(sK0,sK1),sK1),sK1),X0)
| ( sK0 = sK1 )
| ( s(s(s(sK0,sK1),sK1),sK1) = sK3 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_529295,c_482008]) ).
tcf(c_581744,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,ext(sK0,s(sK1,sK0),X1,X2),X0)
| ( sK0 = sK1 )
| ( ext(sK0,s(sK1,sK0),X1,X2) = sK3 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_535610,c_482008]) ).
tcf(c_581745,plain,
! [X0: $i] :
( s_col(sK3,s(s(s(sK1,sK0),sK0),sK0),X0)
| ( sK0 = sK1 )
| ( s(s(s(sK1,sK0),sK0),sK0) = sK3 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_543639,c_482008]) ).
tcf(c_581746,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,s(sK0,ext(sK0,sK1,X1,X2)),X0)
| ( sK0 = sK1 )
| ( s(sK0,ext(sK0,sK1,X1,X2)) = sK3 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_548058,c_482008]) ).
tcf(c_581747,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,s(sK1,ext(sK1,sK0,X1,X2)),X0)
| ( sK0 = sK1 )
| ( s(sK1,ext(sK1,sK0,X1,X2)) = sK3 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_548460,c_482008]) ).
tcf(c_581748,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,s(ext(sK1,sK0,X1,X2),sK1),X0)
| ( sK0 = sK1 )
| ( s(ext(sK1,sK0,X1,X2),sK1) = sK3 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_499649,c_482008]) ).
tcf(c_581749,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK3,s(ext(sK0,sK1,X1,X2),sK0),X0)
| ( sK0 = sK1 )
| ( s(ext(sK0,sK1,X1,X2),sK0) = sK3 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_503147,c_482008]) ).
tcf(c_582041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X7)
| ( X2 = X3 )
| ( X0 = X1 )
| ( f813(X2,X3,X4,X5,X6) = X2 )
| ~ s_col(X2,X3,X7)
| ~ s_col(X0,X1,X2)
| ~ perpAt(X2,X3,X6,X4,X5)
| ~ s_col(X0,X1,f813(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_195,c_482109]) ).
tcf(c_582042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X7)
| ( X4 = X5 )
| ( X0 = X1 )
| ( g813(X2,X3,X4,X5,X6) = X4 )
| ~ s_col(X4,X5,X7)
| ~ s_col(X0,X1,X4)
| ~ perpAt(X2,X3,X6,X4,X5)
| ~ s_col(X0,X1,g813(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_196,c_482109]) ).
tcf(c_582043,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,sK2)
| ~ s_col(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_5023,c_482109]) ).
tcf(c_582044,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,sK3)
| ~ s_col(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_5022,c_482109]) ).
tcf(c_582045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X7)
| perpAt(X2,X3,X6,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( f811(X2,X3,X4,X5,X6) = X2 )
| ~ s_col(X4,X5,X6)
| ~ s_col(X2,X3,X7)
| ~ s_col(X2,X3,X6)
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,f811(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_256,c_482109]) ).
tcf(c_582046,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X7)
| perpAt(X2,X3,X6,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( g811(X2,X3,X4,X5,X6) = X4 )
| ~ s_col(X4,X5,X7)
| ~ s_col(X4,X5,X6)
| ~ s_col(X2,X3,X6)
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,g811(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_257,c_482109]) ).
tcf(c_582047,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X7)
| ( X5 = X6 )
| ( X0 = X1 )
| ( insert5(X2,X3,X4,X5,X6) = X5 )
| ~ s_col(X5,X6,X7)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X5)
| ~ s_e(X2,X3,X5,X6)
| ~ s_col(X0,X1,insert5(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480519,c_482109]) ).
tcf(c_582048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,X0)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7182,c_482109]) ).
tcf(c_582049,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(X0,X1,sK1)
| ~ s_col(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_480443,c_482109]) ).
tcf(c_582050,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(X0,X1,sK1)
| ~ s_col(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_480444,c_482109]) ).
tcf(c_582051,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( X0 = X1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(X0,X1,sK2)
| ~ s_col(X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_480452,c_482109]) ).
tcf(c_582052,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( X0 = X1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(X0,X1,sK3)
| ~ s_col(X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_480453,c_482109]) ).
tcf(c_582053,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( X0 = X1 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(X0,X1,sK2)
| ~ s_col(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_480461,c_482109]) ).
tcf(c_582054,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( X0 = X1 )
| ~ s_col(sK3,sK1,X2)
| ~ s_col(X0,X1,sK3)
| ~ s_col(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_480462,c_482109]) ).
tcf(c_582055,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK0,sK2,X2)
| ~ s_col(X0,X1,sK1)
| ~ s_col(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_480464,c_482109]) ).
tcf(c_582056,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK0,sK3,X2)
| ~ s_col(X0,X1,sK1)
| ~ s_col(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_480467,c_482109]) ).
tcf(c_582057,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK1,sK0,X2)
| ~ s_col(X0,X1,sK2)
| ~ s_col(X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_480476,c_482109]) ).
tcf(c_582058,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK1,sK0,X2)
| ~ s_col(X0,X1,sK3)
| ~ s_col(X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_480477,c_482109]) ).
tcf(c_582059,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,X1,X6)
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(X2,X3,X4,X5) = X2 )
| ~ s_col(X2,X3,X6)
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_484594,c_482109]) ).
tcf(c_582060,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(X5,X6,X0)
| ~ s_col(X5,X6,ext(X0,X1,X2,X3))
| ~ s_col(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_484605,c_482109]) ).
tcf(c_582061,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,ext(X0,X1,X2,X3))
| ~ s_col(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_484709,c_482109]) ).
tcf(c_582062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,X0)
| ~ s_col(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_484720,c_482109]) ).
tcf(c_582063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,X1,X6)
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(X2,X3,X4,X5) = X3 )
| ~ s_col(X3,X2,X6)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_484758,c_482109]) ).
tcf(c_582064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,X0)
| ~ s_col(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_484747,c_482109]) ).
tcf(c_582065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ( s(X0,X1) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,X0)
| ~ s_col(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_485946,c_482109]) ).
tcf(c_582066,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X0,X1) = X1 )
| ( s(X0,X1) = X0 )
| ~ s_col(X3,X4,X0)
| ~ s_col(X3,X4,s(X0,X1))
| ~ s_col(s(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_485947,c_482109]) ).
tcf(c_582067,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,X3) = X3 )
| ~ s_col(X3,X2,X4)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_485948,c_482109]) ).
tcf(c_582068,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,X3) = X2 )
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_486075,c_482109]) ).
tcf(c_582069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X0,X1) = X1 )
| ( s(X0,X1) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,s(X0,X1))
| ~ s_col(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_486077,c_482109]) ).
tcf(c_582070,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ( s(X1,X0) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,X0)
| ~ s_col(X0,s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_486076,c_482109]) ).
tcf(c_582071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,X0)
| ~ s_col(X0,s(X0,s(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_553531,c_482109]) ).
tcf(c_582072,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X0,s(X1,X0)) = X1 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(X3,X4,X0)
| ~ s_col(X3,X4,s(X0,s(X1,X0)))
| ~ s_col(s(X0,s(X1,X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_553532,c_482109]) ).
tcf(c_582073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,s(X3,X2)) = X3 )
| ~ s_col(X3,X2,X4)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,s(X2,s(X3,X2))) ),
inference(superposition,[status(thm)],[c_553533,c_482109]) ).
tcf(c_582074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(X3,X4,X0)
| ~ s_col(X3,X4,s(X0,X1))
| ~ s_col(s(X0,X1),s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_553989,c_482109]) ).
tcf(c_582075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,s(X3,X2)) = X2 )
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,s(X2,s(X3,X2))) ),
inference(superposition,[status(thm)],[c_553998,c_482109]) ).
tcf(c_582076,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X0,s(X1,X0)) = X1 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,s(X0,s(X1,X0)))
| ~ s_col(s(X0,s(X1,X0)),X0,X2) ),
inference(superposition,[status(thm)],[c_553999,c_482109]) ).
tcf(c_582077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,X0)
| ~ s_col(X0,s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_554000,c_482109]) ).
tcf(c_582078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(s(X0,X1),X1) = X0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(X3,X4,s(X0,X1))
| ~ s_col(X3,X4,s(s(X0,X1),X1))
| ~ s_col(s(s(X0,X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_554385,c_482109]) ).
tcf(c_582079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( s(X2,X3) = X2 )
| ( s(s(X2,X3),X3) = X2 )
| ~ s_col(X0,X1,X2)
| ~ s_col(X2,s(X2,X3),X4)
| ~ s_col(X0,X1,s(s(X2,X3),X3)) ),
inference(superposition,[status(thm)],[c_554534,c_482109]) ).
tcf(c_582080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( s(X2,X3) = X2 )
| ( s(s(X2,X3),X3) = s(X2,X3) )
| ~ s_col(X0,X1,s(X2,X3))
| ~ s_col(s(X2,X3),X2,X4)
| ~ s_col(X0,X1,s(s(X2,X3),X3)) ),
inference(superposition,[status(thm)],[c_555168,c_482109]) ).
tcf(c_582081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(s(X0,X1),X1) = X0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(X3,X4,X0)
| ~ s_col(X3,X4,s(s(X0,X1),X1))
| ~ s_col(s(s(X0,X1),X1),s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_555394,c_482109]) ).
tcf(c_582082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(X3,X4,X0)
| ~ s_col(X3,X4,s(X0,X1))
| ~ s_col(X0,s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_555529,c_482109]) ).
tcf(c_582083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( X0 = X1 )
| ( ext(s(X1,X0),X0,X2,X3) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,X0)
| ~ s_col(X0,ext(s(X1,X0),X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_558031,c_482109]) ).
tcf(c_582084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,ext(s(X0,X1),X1,X2,X3))
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_558032,c_482109]) ).
tcf(c_582085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,X1,X6)
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(s(X2,X3),X3,X4,X5) = X2 )
| ~ s_col(X2,X3,X6)
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,ext(s(X2,X3),X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_558033,c_482109]) ).
tcf(c_582086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,X0)
| ~ s_col(X0,s(X0,s(s(X1,X0),X0)),X2) ),
inference(superposition,[status(thm)],[c_571448,c_482109]) ).
tcf(c_582087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X0,s(s(X1,X0),X0)) = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(X3,X4,X0)
| ~ s_col(X3,X4,s(X0,s(s(X1,X0),X0)))
| ~ s_col(s(X0,s(s(X1,X0),X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_571449,c_482109]) ).
tcf(c_582088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,s(s(X3,X2),X2)) = X3 )
| ~ s_col(X3,X2,X4)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,s(X2,s(s(X3,X2),X2))) ),
inference(superposition,[status(thm)],[c_571450,c_482109]) ).
tcf(c_582089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X1 )
| ( ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X0 )
| ~ s_col(X5,X6,X0)
| ~ s_col(X5,X6,ext(ext(X0,X1,alpha,gamma),X1,X2,X3))
| ~ s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481511,c_482109]) ).
tcf(c_582090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X7)
| ( X3 = X6 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(X2,X3,X4,X5) = X6 )
| ( ext(X2,X3,X4,X5) = X3 )
| ~ sameside(X6,X3,X2)
| ~ s_col(X6,X3,X7)
| ~ s_col(X0,X1,X6)
| ~ s_col(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_481736,c_482109]) ).
tcf(c_582091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,X1,X6)
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(s(X2,X3),X3,X4,X5) = X3 )
| ~ s_col(X3,X2,X6)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,ext(s(X2,X3),X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_576541,c_482109]) ).
tcf(c_582092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(X5,X6,X0)
| ~ s_col(X5,X6,ext(s(X0,X1),X1,X2,X3))
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_576542,c_482109]) ).
tcf(c_582093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,X0)
| ~ s_col(X0,s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_517627,c_482109]) ).
tcf(c_582094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(s(X0,X1),X1) = X1 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(X3,X4,X0)
| ~ s_col(X3,X4,s(s(X0,X1),X1))
| ~ s_col(s(s(X0,X1),X1),X1,X2) ),
inference(superposition,[status(thm)],[c_517628,c_482109]) ).
tcf(c_582095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(s(X2,X3),X3) = X3 )
| ~ s_col(X3,X2,X4)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,s(s(X2,X3),X3)) ),
inference(superposition,[status(thm)],[c_517629,c_482109]) ).
tcf(c_582096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X0,X1) = X0 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(X3,X4,X0)
| ~ s_col(X3,X4,s(X0,X1))
| ~ s_col(X0,s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_519188,c_482109]) ).
tcf(c_582097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(s(X2,X3),X3) = X2 )
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,s(s(X2,X3),X3)) ),
inference(superposition,[status(thm)],[c_519197,c_482109]) ).
tcf(c_582098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(s(X0,X1),X1) = X1 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,s(s(X0,X1),X1))
| ~ s_col(s(s(X0,X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_519198,c_482109]) ).
tcf(c_582099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ( s(s(X1,X0),X0) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,X0)
| ~ s_col(X0,s(s(X1,X0),X0),X2) ),
inference(superposition,[status(thm)],[c_519199,c_482109]) ).
tcf(c_582100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X0,s(X1,X0)) = X1 )
| ( s(X0,s(X1,X0)) = s(X1,X0) )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,s(X0,s(X1,X0)))
| ~ s_col(s(X0,s(X1,X0)),s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_519474,c_482109]) ).
tcf(c_582101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( s(X3,X2) = X3 )
| ( s(X2,s(X3,X2)) = s(X3,X2) )
| ~ s_col(X0,X1,s(X3,X2))
| ~ s_col(s(X3,X2),X3,X4)
| ~ s_col(X0,X1,s(X2,s(X3,X2))) ),
inference(superposition,[status(thm)],[c_520000,c_482109]) ).
tcf(c_582102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( s(X3,X2) = X3 )
| ( s(X2,s(X3,X2)) = X3 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X3,s(X3,X2),X4)
| ~ s_col(X0,X1,s(X2,s(X3,X2))) ),
inference(superposition,[status(thm)],[c_520925,c_482109]) ).
tcf(c_582103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X0,s(X1,X0)) = X1 )
| ( s(X0,s(X1,X0)) = s(X1,X0) )
| ~ s_col(X3,X4,s(X1,X0))
| ~ s_col(X3,X4,s(X0,s(X1,X0)))
| ~ s_col(s(X0,s(X1,X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_521029,c_482109]) ).
tcf(c_582104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X0,X1) = X0 )
| ( s(X1,s(X0,X1)) = s(X0,X1) )
| ~ s_col(X3,X4,X0)
| ~ s_col(X3,X4,s(X0,X1))
| ~ s_col(s(X0,X1),s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_522349,c_482109]) ).
tcf(c_582105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( X0 = X1 )
| ( ext(X1,s(X0,X1),X2,X3) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,X0)
| ~ s_col(X0,ext(X1,s(X0,X1),X2,X3),X4) ),
inference(superposition,[status(thm)],[c_523153,c_482109]) ).
tcf(c_582106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,ext(X0,s(X1,X0),X2,X3))
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_523154,c_482109]) ).
tcf(c_582107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,X1,X6)
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(X2,s(X3,X2),X4,X5) = X2 )
| ~ s_col(X2,X3,X6)
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,ext(X2,s(X3,X2),X4,X5)) ),
inference(superposition,[status(thm)],[c_523155,c_482109]) ).
tcf(c_582108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,X0)
| ~ s_col(X0,s(s(s(X0,X1),X1),X1),X2) ),
inference(superposition,[status(thm)],[c_529293,c_482109]) ).
tcf(c_582109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(s(s(X0,X1),X1),X1) = X1 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(X3,X4,X0)
| ~ s_col(X3,X4,s(s(s(X0,X1),X1),X1))
| ~ s_col(s(s(s(X0,X1),X1),X1),X1,X2) ),
inference(superposition,[status(thm)],[c_529294,c_482109]) ).
tcf(c_582110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(s(s(X2,X3),X3),X3) = X3 )
| ~ s_col(X3,X2,X4)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,s(s(s(X2,X3),X3),X3)) ),
inference(superposition,[status(thm)],[c_529295,c_482109]) ).
tcf(c_582111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,X1,X6)
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(X2,s(X3,X2),X4,X5) = X3 )
| ~ s_col(X3,X2,X6)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,ext(X2,s(X3,X2),X4,X5)) ),
inference(superposition,[status(thm)],[c_535610,c_482109]) ).
tcf(c_582112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(X5,X6,X0)
| ~ s_col(X5,X6,ext(X0,s(X1,X0),X2,X3))
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_535611,c_482109]) ).
tcf(c_582113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,X0)
| ~ s_col(X0,ext(X0,s(X1,X0),X2,X3),X4) ),
inference(superposition,[status(thm)],[c_535612,c_482109]) ).
tcf(c_582114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(s(s(X2,X3),X3),X3) = X2 )
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,s(s(s(X2,X3),X3),X3)) ),
inference(superposition,[status(thm)],[c_543639,c_482109]) ).
tcf(c_582115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(s(s(X0,X1),X1),X1) = X1 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,s(s(s(X0,X1),X1),X1))
| ~ s_col(s(s(s(X0,X1),X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_543640,c_482109]) ).
tcf(c_582116,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ( s(s(s(X1,X0),X0),X0) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,X0)
| ~ s_col(X0,s(s(s(X1,X0),X0),X0),X2) ),
inference(superposition,[status(thm)],[c_543641,c_482109]) ).
tcf(c_582117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,X0)
| ~ s_col(X0,s(X0,ext(X0,X1,X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_548056,c_482109]) ).
tcf(c_582118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( s(X0,ext(X0,X1,X2,X3)) = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(X5,X6,X0)
| ~ s_col(X5,X6,s(X0,ext(X0,X1,X2,X3)))
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X1,X4) ),
inference(superposition,[status(thm)],[c_548057,c_482109]) ).
tcf(c_582119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,X1,X6)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,ext(X2,X3,X4,X5)) = X3 )
| ~ s_col(X3,X2,X6)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,s(X2,ext(X2,X3,X4,X5))) ),
inference(superposition,[status(thm)],[c_548058,c_482109]) ).
tcf(c_582120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,X1,X6)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,ext(X2,X3,X4,X5)) = X2 )
| ~ s_col(X2,X3,X6)
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,s(X2,ext(X2,X3,X4,X5))) ),
inference(superposition,[status(thm)],[c_548460,c_482109]) ).
tcf(c_582121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( s(X0,ext(X0,X1,X2,X3)) = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,s(X0,ext(X0,X1,X2,X3)))
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X0,X4) ),
inference(superposition,[status(thm)],[c_548461,c_482109]) ).
tcf(c_582122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( X0 = X1 )
| ( s(X1,ext(X1,X0,X2,X3)) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,X0)
| ~ s_col(X0,s(X1,ext(X1,X0,X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_548462,c_482109]) ).
tcf(c_582123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( X0 = X1 )
| ( s(ext(X1,X0,X2,X3),X1) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,X0)
| ~ s_col(X0,s(ext(X1,X0,X2,X3),X1),X4) ),
inference(superposition,[status(thm)],[c_499647,c_482109]) ).
tcf(c_582124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,s(ext(X0,X1,X2,X3),X0))
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X0,X4) ),
inference(superposition,[status(thm)],[c_499648,c_482109]) ).
tcf(c_582125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,X1,X6)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(ext(X2,X3,X4,X5),X2) = X2 )
| ~ s_col(X2,X3,X6)
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,s(ext(X2,X3,X4,X5),X2)) ),
inference(superposition,[status(thm)],[c_499649,c_482109]) ).
tcf(c_582126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,X1,X6)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(ext(X2,X3,X4,X5),X2) = X3 )
| ~ s_col(X3,X2,X6)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,s(ext(X2,X3,X4,X5),X2)) ),
inference(superposition,[status(thm)],[c_503147,c_482109]) ).
tcf(c_582127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(X5,X6,X0)
| ~ s_col(X5,X6,s(ext(X0,X1,X2,X3),X0))
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X1,X4) ),
inference(superposition,[status(thm)],[c_503148,c_482109]) ).
tcf(c_582128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,X0)
| ~ s_col(X0,s(ext(X0,X1,X2,X3),X0),X4) ),
inference(superposition,[status(thm)],[c_503149,c_482109]) ).
tcf(c_583013,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK1 )
| ( X0 = sK2 )
| ( X0 = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(X0,X1,sK2) ),
inference(superposition,[status(thm)],[c_100,c_482110]) ).
tcf(c_583014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( f813(X0,X1,X2,X3,X4) = sK2 )
| ~ s_col(sK0,sK1,X5)
| ~ s_col(X0,X1,sK2)
| ~ perpAt(X0,X1,X4,X2,X3)
| ~ s_col(sK0,sK1,f813(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_195,c_482110]) ).
tcf(c_583015,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X2,X3,X5)
| ( sK0 = sK1 )
| ( X2 = X3 )
| ( g813(X0,X1,X2,X3,X4) = sK2 )
| ~ s_col(sK0,sK1,X5)
| ~ s_col(X2,X3,sK2)
| ~ perpAt(X0,X1,X4,X2,X3)
| ~ s_col(sK0,sK1,g813(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_196,c_482110]) ).
tcf(c_583018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| perpAt(X0,X1,X4,X2,X3)
| ( sK0 = sK1 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( f811(X0,X1,X2,X3,X4) = sK2 )
| ~ s_col(sK0,sK1,X5)
| ~ s_col(X0,X1,sK2)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(sK0,sK1,f811(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_256,c_482110]) ).
tcf(c_583019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X2,X3,X5)
| perpAt(X0,X1,X4,X2,X3)
| ( sK0 = sK1 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( g811(X0,X1,X2,X3,X4) = sK2 )
| ~ s_col(sK0,sK1,X5)
| ~ s_col(X2,X3,sK2)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(sK0,sK1,g811(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_257,c_482110]) ).
tcf(c_583020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X3,X4,X5)
| ( sK0 = sK1 )
| ( X3 = X4 )
| ( insert5(X0,X1,X2,X3,X4) = sK2 )
| ~ s_col(sK0,sK1,X5)
| ~ s_col(X3,X4,sK2)
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,X3,X4)
| ~ s_col(sK0,sK1,insert5(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480519,c_482110]) ).
tcf(c_583021,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( X0 = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,X1,sK2) ),
inference(superposition,[status(thm)],[c_7182,c_482110]) ).
tcf(c_583022,plain,
! [X0: $i] :
( s_col(sK1,sK2,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK2,sK2)
| ~ s_col(sK0,sK1,sK0)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_480443,c_482110]) ).
tcf(c_583023,plain,
! [X0: $i] :
( s_col(sK1,sK3,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK3,sK2)
| ~ s_col(sK0,sK1,sK0)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_480444,c_482110]) ).
tcf(c_583024,plain,
! [X0: $i] :
( s_col(sK2,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK0,sK2)
| ~ s_col(sK0,sK1,sK1)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_480452,c_482110]) ).
tcf(c_583025,plain,
! [X0: $i] :
( s_col(sK3,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK0,sK2)
| ~ s_col(sK0,sK1,sK1)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_480453,c_482110]) ).
tcf(c_583026,plain,
! [X0: $i] :
( s_col(sK2,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK1,sK2)
| ~ s_col(sK0,sK1,sK0)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_480461,c_482110]) ).
tcf(c_583027,plain,
! [X0: $i] :
( s_col(sK3,sK1,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK1,sK2)
| ~ s_col(sK0,sK1,sK0)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_480462,c_482110]) ).
tcf(c_583028,plain,
! [X0: $i] :
( s_col(sK0,sK2,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK2,sK2)
| ~ s_col(sK0,sK1,sK1)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_480464,c_482110]) ).
tcf(c_583029,plain,
! [X0: $i] :
( s_col(sK0,sK3,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK3,sK2)
| ~ s_col(sK0,sK1,sK1)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_480467,c_482110]) ).
tcf(c_583031,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK2 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK0,sK2)
| ~ s_col(sK0,sK1,sK3)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_480477,c_482110]) ).
tcf(c_583032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = sK2 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(X0,X1,sK2)
| ~ s_col(sK0,sK1,ext(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_484594,c_482110]) ).
tcf(c_583033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,X1,X2,X3),X1,X4)
| ( sK0 = sK1 )
| ( X0 = sK2 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(ext(X0,X1,X2,X3),X1,sK2) ),
inference(superposition,[status(thm)],[c_484605,c_482110]) ).
tcf(c_583034,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,X1,X2,X3),X0,X4)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(ext(X0,X1,X2,X3),X0,sK2) ),
inference(superposition,[status(thm)],[c_484709,c_482110]) ).
tcf(c_583035,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X0,X1,X2,X3),X4)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,ext(X0,X1,X2,X3),sK2) ),
inference(superposition,[status(thm)],[c_484720,c_482110]) ).
tcf(c_583036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = sK2 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(X1,X0,sK2)
| ~ s_col(sK0,sK1,ext(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_484758,c_482110]) ).
tcf(c_583037,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X1,X0,X2,X3),X4)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,ext(X1,X0,X2,X3),sK2) ),
inference(superposition,[status(thm)],[c_484747,c_482110]) ).
tcf(c_583038,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,X1),X2)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( s(X0,X1) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_485946,c_482110]) ).
tcf(c_583039,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X1,X2)
| ( sK0 = sK1 )
| ( X0 = sK2 )
| ( s(X0,X1) = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(s(X0,X1),X1,sK2) ),
inference(superposition,[status(thm)],[c_485947,c_482110]) ).
tcf(c_583040,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(X0,X1) = sK2 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X1,X0,sK2)
| ~ s_col(sK0,sK1,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_485948,c_482110]) ).
tcf(c_583041,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(X0,X1) = sK2 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,sK2)
| ~ s_col(sK0,sK1,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_486075,c_482110]) ).
tcf(c_583042,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X0,X2)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( s(X0,X1) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(s(X0,X1),X0,sK2) ),
inference(superposition,[status(thm)],[c_486077,c_482110]) ).
tcf(c_583043,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,X0),X2)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( s(X1,X0) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(X1,X0),sK2) ),
inference(superposition,[status(thm)],[c_486076,c_482110]) ).
tcf(c_583044,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,s(X1,X0)),X2)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(X0,s(X1,X0)),sK2) ),
inference(superposition,[status(thm)],[c_553531,c_482110]) ).
tcf(c_583045,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X1,X2)
| ( sK0 = sK1 )
| ( X0 = sK2 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(s(X0,s(X1,X0)),X1,sK2) ),
inference(superposition,[status(thm)],[c_553532,c_482110]) ).
tcf(c_583046,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = sK2 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X1,X0,sK2)
| ~ s_col(sK0,sK1,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_553533,c_482110]) ).
tcf(c_583047,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),s(s(X0,X1),X1),X2)
| ( sK0 = sK1 )
| ( X0 = sK2 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(s(X0,X1),s(s(X0,X1),X1),sK2) ),
inference(superposition,[status(thm)],[c_553989,c_482110]) ).
tcf(c_583048,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = sK2 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,sK2)
| ~ s_col(sK0,sK1,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_553998,c_482110]) ).
tcf(c_583049,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X0,X2)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(s(X0,s(X1,X0)),X0,sK2) ),
inference(superposition,[status(thm)],[c_553999,c_482110]) ).
tcf(c_583050,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(X0,X1)),X2)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(X1,s(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_554000,c_482110]) ).
tcf(c_583051,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X0,X2)
| ( sK0 = sK1 )
| ( s(X0,X1) = sK2 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,s(X0,X1))
| ~ s_col(s(s(X0,X1),X1),X0,sK2) ),
inference(superposition,[status(thm)],[c_554385,c_482110]) ).
tcf(c_583052,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,X1),X2)
| ( sK0 = sK1 )
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = sK2 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,s(X0,X1),sK2)
| ~ s_col(sK0,sK1,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_554534,c_482110]) ).
tcf(c_583053,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X0,X2)
| ( sK0 = sK1 )
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = sK2 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(s(X0,X1),X0,sK2)
| ~ s_col(sK0,sK1,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_555168,c_482110]) ).
tcf(c_583054,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),s(X0,X1),X2)
| ( sK0 = sK1 )
| ( X0 = sK2 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(s(s(X0,X1),X1),s(X0,X1),sK2) ),
inference(superposition,[status(thm)],[c_555394,c_482110]) ).
tcf(c_583055,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X0,X1),X1),X2)
| ( sK0 = sK1 )
| ( s(X0,X1) = sK2 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,s(X0,X1))
| ~ s_col(X0,s(s(X0,X1),X1),sK2) ),
inference(superposition,[status(thm)],[c_555529,c_482110]) ).
tcf(c_583056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(s(X1,X0),X0,X2,X3),X4)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( ext(s(X1,X0),X0,X2,X3) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,ext(s(X1,X0),X0,X2,X3),sK2) ),
inference(superposition,[status(thm)],[c_558031,c_482110]) ).
tcf(c_583057,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(s(X0,X1),X1,X2,X3),X0,X4)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X0,sK2) ),
inference(superposition,[status(thm)],[c_558032,c_482110]) ).
tcf(c_583058,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = sK2 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(X0,X1,sK2)
| ~ s_col(sK0,sK1,ext(s(X0,X1),X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_558033,c_482110]) ).
tcf(c_583059,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,s(s(X1,X0),X0)),X2)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(X0,s(s(X1,X0),X0)),sK2) ),
inference(superposition,[status(thm)],[c_571448,c_482110]) ).
tcf(c_583060,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(s(X1,X0),X0)),X1,X2)
| ( sK0 = sK1 )
| ( X0 = sK2 )
| ( s(X0,s(s(X1,X0),X0)) = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X1,sK2) ),
inference(superposition,[status(thm)],[c_571449,c_482110]) ).
tcf(c_583061,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = sK2 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X1,X0,sK2)
| ~ s_col(sK0,sK1,s(X0,s(s(X1,X0),X0))) ),
inference(superposition,[status(thm)],[c_571450,c_482110]) ).
tcf(c_583062,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X4)
| ( sK0 = sK1 )
| ( X2 = X3 )
| ( X0 = sK2 )
| ( X0 = X1 )
| ( ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X1 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,sK2) ),
inference(superposition,[status(thm)],[c_481511,c_482110]) ).
tcf(c_583063,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X1,X5)
| ( sK0 = sK1 )
| ( X1 = X4 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = sK2 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_col(sK0,sK1,X5)
| ~ s_col(X4,X1,sK2)
| ~ sameside(X4,X1,X0)
| ~ s_col(sK0,sK1,ext(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_481736,c_482110]) ).
tcf(c_583064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = sK2 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(X1,X0,sK2)
| ~ s_col(sK0,sK1,ext(s(X0,X1),X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_576541,c_482110]) ).
tcf(c_583065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(s(X0,X1),X1,X2,X3),X1,X4)
| ( sK0 = sK1 )
| ( X0 = sK2 )
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X1,sK2) ),
inference(superposition,[status(thm)],[c_576542,c_482110]) ).
tcf(c_583066,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X0,X1),X1),X2)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(s(X0,X1),X1),sK2) ),
inference(superposition,[status(thm)],[c_517627,c_482110]) ).
tcf(c_583067,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X1,X2)
| ( sK0 = sK1 )
| ( X0 = sK2 )
| ( s(s(X0,X1),X1) = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(s(s(X0,X1),X1),X1,sK2) ),
inference(superposition,[status(thm)],[c_517628,c_482110]) ).
tcf(c_583068,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = sK2 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X1,X0,sK2)
| ~ s_col(sK0,sK1,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_517629,c_482110]) ).
tcf(c_583069,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(X0,X1)),X2)
| ( sK0 = sK1 )
| ( s(X0,X1) = sK2 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,s(X0,X1))
| ~ s_col(X0,s(X1,s(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_519188,c_482110]) ).
tcf(c_583070,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = sK2 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,sK2)
| ~ s_col(sK0,sK1,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_519197,c_482110]) ).
tcf(c_583071,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X0,X2)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(s(s(X0,X1),X1),X0,sK2) ),
inference(superposition,[status(thm)],[c_519198,c_482110]) ).
tcf(c_583072,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X1,X0),X0),X2)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( s(s(X1,X0),X0) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(s(X1,X0),X0),sK2) ),
inference(superposition,[status(thm)],[c_519199,c_482110]) ).
tcf(c_583073,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),s(X1,X0),X2)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( s(X0,s(X1,X0)) = s(X1,X0) )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(s(X0,s(X1,X0)),s(X1,X0),sK2) ),
inference(superposition,[status(thm)],[c_519474,c_482110]) ).
tcf(c_583074,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X1,X0),X1,X2)
| ( sK0 = sK1 )
| ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = sK2 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(s(X1,X0),X1,sK2)
| ~ s_col(sK0,sK1,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_520000,c_482110]) ).
tcf(c_583075,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,s(X1,X0),X2)
| ( sK0 = sK1 )
| ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = sK2 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X1,s(X1,X0),sK2)
| ~ s_col(sK0,sK1,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_520925,c_482110]) ).
tcf(c_583076,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X1,X2)
| ( sK0 = sK1 )
| ( s(X1,X0) = sK2 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,s(X1,X0))
| ~ s_col(s(X0,s(X1,X0)),X1,sK2) ),
inference(superposition,[status(thm)],[c_521029,c_482110]) ).
tcf(c_583077,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),s(X1,s(X0,X1)),X2)
| ( sK0 = sK1 )
| ( X0 = sK2 )
| ( s(X1,s(X0,X1)) = s(X0,X1) )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(s(X0,X1),s(X1,s(X0,X1)),sK2) ),
inference(superposition,[status(thm)],[c_522349,c_482110]) ).
tcf(c_583078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X1,s(X0,X1),X2,X3),X4)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( ext(X1,s(X0,X1),X2,X3) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,ext(X1,s(X0,X1),X2,X3),sK2) ),
inference(superposition,[status(thm)],[c_523153,c_482110]) ).
tcf(c_583079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,s(X1,X0),X2,X3),X0,X4)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X0,sK2) ),
inference(superposition,[status(thm)],[c_523154,c_482110]) ).
tcf(c_583080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = sK2 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(X0,X1,sK2)
| ~ s_col(sK0,sK1,ext(X0,s(X1,X0),X2,X3)) ),
inference(superposition,[status(thm)],[c_523155,c_482110]) ).
tcf(c_583081,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(s(X0,X1),X1),X1),X2)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(s(s(X0,X1),X1),X1),sK2) ),
inference(superposition,[status(thm)],[c_529293,c_482110]) ).
tcf(c_583082,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(s(X0,X1),X1),X1),X1,X2)
| ( sK0 = sK1 )
| ( X0 = sK2 )
| ( s(s(s(X0,X1),X1),X1) = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(s(s(s(X0,X1),X1),X1),X1,sK2) ),
inference(superposition,[status(thm)],[c_529294,c_482110]) ).
tcf(c_583083,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = sK2 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X1,X0,sK2)
| ~ s_col(sK0,sK1,s(s(s(X0,X1),X1),X1)) ),
inference(superposition,[status(thm)],[c_529295,c_482110]) ).
tcf(c_583084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = sK2 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(X1,X0,sK2)
| ~ s_col(sK0,sK1,ext(X0,s(X1,X0),X2,X3)) ),
inference(superposition,[status(thm)],[c_535610,c_482110]) ).
tcf(c_583085,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,s(X1,X0),X2,X3),X1,X4)
| ( sK0 = sK1 )
| ( X0 = sK2 )
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X1,sK2) ),
inference(superposition,[status(thm)],[c_535611,c_482110]) ).
tcf(c_583086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X0,s(X1,X0),X2,X3),X4)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,ext(X0,s(X1,X0),X2,X3),sK2) ),
inference(superposition,[status(thm)],[c_535612,c_482110]) ).
tcf(c_583087,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = sK2 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,sK2)
| ~ s_col(sK0,sK1,s(s(s(X0,X1),X1),X1)) ),
inference(superposition,[status(thm)],[c_543639,c_482110]) ).
tcf(c_583088,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(s(X0,X1),X1),X1),X0,X2)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(s(s(s(X0,X1),X1),X1),X0,sK2) ),
inference(superposition,[status(thm)],[c_543640,c_482110]) ).
tcf(c_583089,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(s(X1,X0),X0),X0),X2)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( s(s(s(X1,X0),X0),X0) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(s(s(X1,X0),X0),X0),sK2) ),
inference(superposition,[status(thm)],[c_543641,c_482110]) ).
tcf(c_583090,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(X0,ext(X0,X1,X2,X3)),X4)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(X0,ext(X0,X1,X2,X3)),sK2) ),
inference(superposition,[status(thm)],[c_548056,c_482110]) ).
tcf(c_583091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(X0,ext(X0,X1,X2,X3)),X1,X4)
| ( sK0 = sK1 )
| ( X0 = sK2 )
| ( s(X0,ext(X0,X1,X2,X3)) = X1 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X1,sK2) ),
inference(superposition,[status(thm)],[c_548057,c_482110]) ).
tcf(c_583092,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = sK2 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(X1,X0,sK2)
| ~ s_col(sK0,sK1,s(X0,ext(X0,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_548058,c_482110]) ).
tcf(c_583093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = sK2 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(X0,X1,sK2)
| ~ s_col(sK0,sK1,s(X0,ext(X0,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_548460,c_482110]) ).
tcf(c_583094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(X0,ext(X0,X1,X2,X3)),X0,X4)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X0,sK2) ),
inference(superposition,[status(thm)],[c_548461,c_482110]) ).
tcf(c_583095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(X1,ext(X1,X0,X2,X3)),X4)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( s(X1,ext(X1,X0,X2,X3)) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(X1,ext(X1,X0,X2,X3)),sK2) ),
inference(superposition,[status(thm)],[c_548462,c_482110]) ).
tcf(c_583096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(ext(X1,X0,X2,X3),X1),X4)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( s(ext(X1,X0,X2,X3),X1) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(ext(X1,X0,X2,X3),X1),sK2) ),
inference(superposition,[status(thm)],[c_499647,c_482110]) ).
tcf(c_583097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(ext(X0,X1,X2,X3),X0),X0,X4)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X0,sK2) ),
inference(superposition,[status(thm)],[c_499648,c_482110]) ).
tcf(c_583098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = sK2 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(X0,X1,sK2)
| ~ s_col(sK0,sK1,s(ext(X0,X1,X2,X3),X0)) ),
inference(superposition,[status(thm)],[c_499649,c_482110]) ).
tcf(c_583099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = sK2 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(X1,X0,sK2)
| ~ s_col(sK0,sK1,s(ext(X0,X1,X2,X3),X0)) ),
inference(superposition,[status(thm)],[c_503147,c_482110]) ).
tcf(c_583100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(ext(X0,X1,X2,X3),X0),X1,X4)
| ( sK0 = sK1 )
| ( X0 = sK2 )
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X1,sK2) ),
inference(superposition,[status(thm)],[c_503148,c_482110]) ).
tcf(c_583101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(ext(X0,X1,X2,X3),X0),X4)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(ext(X0,X1,X2,X3),X0),sK2) ),
inference(superposition,[status(thm)],[c_503149,c_482110]) ).
tcf(c_583102,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK2 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_583031,c_480476,c_5022]) ).
tcf(c_583107,plain,
! [X0: $i] :
( s_col(sK0,sK3,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK3,sK2)
| ~ s_col(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_583029,c_7182]) ).
tcf(c_583114,plain,
! [X0: $i] :
( s_col(sK0,sK2,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_583028,c_7182,c_7182]) ).
tcf(c_583120,plain,
! [X0: $i] :
( s_col(sK3,sK1,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK1,sK2)
| ~ s_col(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_583027,c_100]) ).
tcf(c_583127,plain,
! [X0: $i] :
( s_col(sK2,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_583026,c_100,c_100]) ).
tcf(c_583133,plain,
! [X0: $i] :
( s_col(sK3,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK0,sK2)
| ~ s_col(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_583025,c_7182]) ).
tcf(c_583140,plain,
! [X0: $i] :
( s_col(sK2,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_583024,c_100,c_7182]) ).
tcf(c_583146,plain,
! [X0: $i] :
( s_col(sK1,sK3,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK3,sK2)
| ~ s_col(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_583023,c_100]) ).
tcf(c_583153,plain,
! [X0: $i] :
( s_col(sK1,sK2,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_583022,c_7182,c_100]) ).
tcf(c_583875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_col(X0,ext(X1,s(X0,X1),X2,X3),s(X0,X1)),
inference(superposition,[status(thm)],[c_161,c_576543]) ).
tcf(c_583877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(s(X0,X1),X1,X2,X3),X4)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,ext(s(X0,X1),X1,X2,X3),sK2) ),
inference(superposition,[status(thm)],[c_576543,c_482110]) ).
tcf(c_583878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,X0)
| ~ s_col(X0,ext(s(X0,X1),X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_576543,c_482109]) ).
tcf(c_583879,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(s(X0,X1),X1,X2,X3),X1,X4)
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(X0,ext(s(X0,X1),X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_576543,c_481998]) ).
tcf(c_583881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_r(X0,ext(s(X0,X1),X1,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_576543,c_187]) ).
tcf(c_583882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X1,X0,X4)
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_r(ext(s(X0,X1),X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_576543,c_181]) ).
tcf(c_583883,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X6,X7,X5)
| ( X6 = X7 )
| ( X1 = X4 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(X6,X7,X4)
| ~ s_col(X6,X7,X1)
| ~ s_col(X0,ext(s(X0,X1),X1,X2,X3),X5)
| ~ s_col(X0,ext(s(X0,X1),X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_576543,c_152]) ).
tcf(c_583884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X1,X4,X5)
| ( X1 = X4 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(X0,ext(s(X0,X1),X1,X2,X3),X5)
| ~ s_col(X0,ext(s(X0,X1),X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_576543,c_151]) ).
tcf(c_583885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(X0,ext(s(X0,X1),X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_576543,c_148]) ).
tcf(c_583886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,ext(s(X0,X1),X1,X2,X3),X1)
| s_t(X0,ext(s(X0,X1),X1,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_576543,c_134]) ).
tcf(c_583892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perpAt(X0,ext(s(X0,X1),X1,X2,X3),X4,X5,X6)
| ( X5 = X6 )
| ( X4 = X7 )
| ( X1 = X4 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_r(X1,X4,X7)
| ~ s_col(X5,X6,X7)
| ~ s_col(X5,X6,X4)
| ~ s_col(X0,ext(s(X0,X1),X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_576543,c_200]) ).
tcf(c_583967,plain,
! [X0: $i,X1: $i] : s_col(s(X0,X1),X0,s(s(X0,X1),s(X1,s(X0,X1)))),
inference(superposition,[status(thm)],[c_161,c_579122]) ).
tcf(c_583969,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = sK2 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,sK2)
| ~ s_col(sK0,sK1,s(X0,s(s(X1,X0),X0))) ),
inference(superposition,[status(thm)],[c_579122,c_482110]) ).
tcf(c_583970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,s(s(X3,X2),X2)) = X2 )
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,s(X2,s(s(X3,X2),X2))) ),
inference(superposition,[status(thm)],[c_579122,c_482109]) ).
tcf(c_583971,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,s(X0,s(s(X1,X0),X0)),X2)
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X1 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_579122,c_481998]) ).
tcf(c_583973,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X1 )
| ~ s_r(X0,X1,s(X0,s(s(X1,X0),X0))) ),
inference(superposition,[status(thm)],[c_579122,c_187]) ).
tcf(c_583974,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(s(X1,s(s(X0,X1),X1)),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_579122,c_181]) ).
tcf(c_583975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,s(s(X3,X2),X2)) = X4 )
| ~ s_col(X2,X3,X5)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,s(X2,s(s(X3,X2),X2))) ),
inference(superposition,[status(thm)],[c_579122,c_152]) ).
tcf(c_583976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(X0,s(s(X1,X0),X0)),X2,X3)
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_579122,c_151]) ).
tcf(c_583977,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,s(s(X1,X0),X0)),X2)
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_579122,c_148]) ).
tcf(c_583978,plain,
! [X0: $i,X1: $i] :
( sameside(X0,X1,s(X0,s(s(X1,X0),X0)))
| s_t(X0,X1,s(X0,s(s(X1,X0),X0))) ),
inference(superposition,[status(thm)],[c_579122,c_134]) ).
tcf(c_583984,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,X1,X2,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X2 )
| ~ s_col(X4,X5,X3)
| ~ s_col(X4,X5,X2)
| ~ s_col(X0,X1,X2)
| ~ s_r(s(X0,s(s(X1,X0),X0)),X2,X3) ),
inference(superposition,[status(thm)],[c_579122,c_200]) ).
tcf(c_583985,plain,
! [X0: $i] :
( s_col(sK3,s(sK0,s(s(sK1,sK0),sK0)),X0)
| ( sK0 = sK1 )
| ( s(sK0,s(s(sK1,sK0),sK0)) = sK3 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_579122,c_481997]) ).
tcf(c_583986,plain,
! [X0: $i] :
( s_col(sK2,s(sK0,s(s(sK1,sK0),sK0)),X0)
| ( sK0 = sK1 )
| ( s(sK0,s(s(sK1,sK0),sK0)) = sK2 )
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_579122,c_481996]) ).
tcf(c_583987,plain,
( s_col(sK0,sK3,s(sK0,s(s(sK1,sK0),sK0)))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_579122,c_481910]) ).
tcf(c_583988,plain,
( s_col(sK0,sK2,s(sK0,s(s(sK1,sK0),sK0)))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_579122,c_481909]) ).
tcf(c_583989,plain,
! [X0: $i] :
( s_col(sK1,s(sK0,s(s(sK2,sK0),sK0)),X0)
| ( sK0 = sK2 )
| ( s(sK0,s(s(sK2,sK0),sK0)) = sK1 )
| ~ s_col(sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_579122,c_482005]) ).
tcf(c_583990,plain,
( s_col(sK0,sK1,s(sK0,s(s(sK2,sK0),sK0)))
| ( sK0 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_579122,c_481918]) ).
tcf(c_583991,plain,
! [X0: $i] :
( s_col(sK1,s(sK0,s(s(sK3,sK0),sK0)),X0)
| ( sK0 = sK3 )
| ( s(sK0,s(s(sK3,sK0),sK0)) = sK1 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_579122,c_482006]) ).
tcf(c_583992,plain,
( s_col(sK0,sK1,s(sK0,s(s(sK3,sK0),sK0)))
| ( sK0 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_579122,c_481919]) ).
tcf(c_583993,plain,
! [X0: $i] :
( s_col(sK0,s(sK1,s(s(sK2,sK1),sK1)),X0)
| ( sK1 = sK2 )
| ( s(sK1,s(s(sK2,sK1),sK1)) = sK0 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_579122,c_481999]) ).
tcf(c_583994,plain,
( s_col(sK1,sK0,s(sK1,s(s(sK2,sK1),sK1)))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_579122,c_481912]) ).
tcf(c_583995,plain,
! [X0: $i] :
( s_col(sK3,s(sK1,s(s(sK0,sK1),sK1)),X0)
| ( sK0 = sK1 )
| ( s(sK1,s(s(sK0,sK1),sK1)) = sK3 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_579122,c_482008]) ).
tcf(c_583996,plain,
! [X0: $i] :
( s_col(sK2,s(sK1,s(s(sK0,sK1),sK1)),X0)
| ( sK0 = sK1 )
| ( s(sK1,s(s(sK0,sK1),sK1)) = sK2 )
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_579122,c_482007]) ).
tcf(c_583997,plain,
( s_col(sK1,sK3,s(sK1,s(s(sK0,sK1),sK1)))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_579122,c_481921]) ).
tcf(c_583998,plain,
( s_col(sK1,sK2,s(sK1,s(s(sK0,sK1),sK1)))
| ( sK1 = sK2 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_579122,c_481920]) ).
tcf(c_583999,plain,
! [X0: $i] :
( s_col(sK0,s(sK1,s(s(sK3,sK1),sK1)),X0)
| ( sK1 = sK3 )
| ( s(sK1,s(s(sK3,sK1),sK1)) = sK0 )
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_579122,c_482000]) ).
tcf(c_584000,plain,
( s_col(sK1,sK0,s(sK1,s(s(sK3,sK1),sK1)))
| ( sK1 = sK3 )
| ( sK0 = sK1 ) ),
inference(superposition,[status(thm)],[c_579122,c_481913]) ).
tcf(c_584001,plain,
! [X0: $i] :
( s_col(sK1,s(sK2,s(s(sK0,sK2),sK2)),X0)
| ( sK0 = sK2 )
| ( s(sK2,s(s(sK0,sK2),sK2)) = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_579122,c_482001]) ).
tcf(c_584002,plain,
( s_col(sK2,sK1,s(sK2,s(s(sK0,sK2),sK2)))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_579122,c_481914]) ).
tcf(c_584003,plain,
! [X0: $i] :
( s_col(sK0,s(sK2,s(s(sK1,sK2),sK2)),X0)
| ( sK1 = sK2 )
| ( s(sK2,s(s(sK1,sK2),sK2)) = sK0 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_579122,c_482003]) ).
tcf(c_584004,plain,
( s_col(sK2,sK0,s(sK2,s(s(sK1,sK2),sK2)))
| ( sK1 = sK2 )
| ( sK0 = sK2 ) ),
inference(superposition,[status(thm)],[c_579122,c_481916]) ).
tcf(c_584005,plain,
! [X0: $i] :
( s_col(sK1,s(sK3,s(s(sK0,sK3),sK3)),X0)
| ( sK0 = sK3 )
| ( s(sK3,s(s(sK0,sK3),sK3)) = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_579122,c_482002]) ).
tcf(c_584006,plain,
( s_col(sK3,sK1,s(sK3,s(s(sK0,sK3),sK3)))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_579122,c_481915]) ).
tcf(c_584007,plain,
! [X0: $i] :
( s_col(sK0,s(sK3,s(s(sK1,sK3),sK3)),X0)
| ( sK1 = sK3 )
| ( s(sK3,s(s(sK1,sK3),sK3)) = sK0 )
| ~ s_col(sK3,sK1,X0) ),
inference(superposition,[status(thm)],[c_579122,c_482004]) ).
tcf(c_584008,plain,
( s_col(sK3,sK0,s(sK3,s(s(sK1,sK3),sK3)))
| ( sK1 = sK3 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_579122,c_481917]) ).
tcf(c_584439,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK1 )
| ( X0 = sK3 )
| ( X0 = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(X0,X1,sK3) ),
inference(superposition,[status(thm)],[c_100,c_482111]) ).
tcf(c_584440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( f813(X0,X1,X2,X3,X4) = sK3 )
| ~ s_col(sK0,sK1,X5)
| ~ s_col(X0,X1,sK3)
| ~ perpAt(X0,X1,X4,X2,X3)
| ~ s_col(sK0,sK1,f813(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_195,c_482111]) ).
tcf(c_584441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X2,X3,X5)
| ( sK0 = sK1 )
| ( X2 = X3 )
| ( g813(X0,X1,X2,X3,X4) = sK3 )
| ~ s_col(sK0,sK1,X5)
| ~ s_col(X2,X3,sK3)
| ~ perpAt(X0,X1,X4,X2,X3)
| ~ s_col(sK0,sK1,g813(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_196,c_482111]) ).
tcf(c_584444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| perpAt(X0,X1,X4,X2,X3)
| ( sK0 = sK1 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( f811(X0,X1,X2,X3,X4) = sK3 )
| ~ s_col(sK0,sK1,X5)
| ~ s_col(X0,X1,sK3)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(sK0,sK1,f811(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_256,c_482111]) ).
tcf(c_584445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X2,X3,X5)
| perpAt(X0,X1,X4,X2,X3)
| ( sK0 = sK1 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( g811(X0,X1,X2,X3,X4) = sK3 )
| ~ s_col(sK0,sK1,X5)
| ~ s_col(X2,X3,sK3)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(sK0,sK1,g811(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_257,c_482111]) ).
tcf(c_584446,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X3,X4,X5)
| ( sK0 = sK1 )
| ( X3 = X4 )
| ( insert5(X0,X1,X2,X3,X4) = sK3 )
| ~ s_col(sK0,sK1,X5)
| ~ s_col(X3,X4,sK3)
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,X3,X4)
| ~ s_col(sK0,sK1,insert5(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480519,c_482111]) ).
tcf(c_584447,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( X0 = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,X1,sK3) ),
inference(superposition,[status(thm)],[c_7182,c_482111]) ).
tcf(c_584448,plain,
! [X0: $i] :
( s_col(sK1,sK2,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK2,sK3)
| ~ s_col(sK0,sK1,sK0)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_480443,c_482111]) ).
tcf(c_584449,plain,
! [X0: $i] :
( s_col(sK1,sK3,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK3,sK3)
| ~ s_col(sK0,sK1,sK0)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_480444,c_482111]) ).
tcf(c_584450,plain,
! [X0: $i] :
( s_col(sK2,sK0,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK0,sK3)
| ~ s_col(sK0,sK1,sK1)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_480452,c_482111]) ).
tcf(c_584451,plain,
! [X0: $i] :
( s_col(sK3,sK0,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK0,sK3)
| ~ s_col(sK0,sK1,sK1)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_480453,c_482111]) ).
tcf(c_584452,plain,
! [X0: $i] :
( s_col(sK2,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK1,sK3)
| ~ s_col(sK0,sK1,sK0)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_480461,c_482111]) ).
tcf(c_584453,plain,
! [X0: $i] :
( s_col(sK3,sK1,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK1,sK3)
| ~ s_col(sK0,sK1,sK0)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_480462,c_482111]) ).
tcf(c_584454,plain,
! [X0: $i] :
( s_col(sK0,sK2,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK2,sK3)
| ~ s_col(sK0,sK1,sK1)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_480464,c_482111]) ).
tcf(c_584455,plain,
! [X0: $i] :
( s_col(sK0,sK3,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK3,sK3)
| ~ s_col(sK0,sK1,sK1)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_480467,c_482111]) ).
tcf(c_584456,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK2 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK0,sK3)
| ~ s_col(sK0,sK1,sK2)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_480476,c_482111]) ).
tcf(c_584458,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = sK3 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(X0,X1,sK3)
| ~ s_col(sK0,sK1,ext(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_484594,c_482111]) ).
tcf(c_584459,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,X1,X2,X3),X1,X4)
| ( sK0 = sK1 )
| ( X0 = sK3 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(ext(X0,X1,X2,X3),X1,sK3) ),
inference(superposition,[status(thm)],[c_484605,c_482111]) ).
tcf(c_584460,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,X1,X2,X3),X0,X4)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(ext(X0,X1,X2,X3),X0,sK3) ),
inference(superposition,[status(thm)],[c_484709,c_482111]) ).
tcf(c_584461,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X0,X1,X2,X3),X4)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,ext(X0,X1,X2,X3),sK3) ),
inference(superposition,[status(thm)],[c_484720,c_482111]) ).
tcf(c_584462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = sK3 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(X1,X0,sK3)
| ~ s_col(sK0,sK1,ext(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_484758,c_482111]) ).
tcf(c_584463,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X1,X0,X2,X3),X4)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,ext(X1,X0,X2,X3),sK3) ),
inference(superposition,[status(thm)],[c_484747,c_482111]) ).
tcf(c_584464,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,X1),X2)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( s(X0,X1) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_485946,c_482111]) ).
tcf(c_584465,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X1,X2)
| ( sK0 = sK1 )
| ( X0 = sK3 )
| ( s(X0,X1) = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(s(X0,X1),X1,sK3) ),
inference(superposition,[status(thm)],[c_485947,c_482111]) ).
tcf(c_584466,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(X0,X1) = sK3 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X1,X0,sK3)
| ~ s_col(sK0,sK1,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_485948,c_482111]) ).
tcf(c_584467,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(X0,X1) = sK3 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,sK3)
| ~ s_col(sK0,sK1,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_486075,c_482111]) ).
tcf(c_584468,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X0,X2)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( s(X0,X1) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(s(X0,X1),X0,sK3) ),
inference(superposition,[status(thm)],[c_486077,c_482111]) ).
tcf(c_584469,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,X0),X2)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( s(X1,X0) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(X1,X0),sK3) ),
inference(superposition,[status(thm)],[c_486076,c_482111]) ).
tcf(c_584470,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,s(X1,X0)),X2)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(X0,s(X1,X0)),sK3) ),
inference(superposition,[status(thm)],[c_553531,c_482111]) ).
tcf(c_584471,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X1,X2)
| ( sK0 = sK1 )
| ( X0 = sK3 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(s(X0,s(X1,X0)),X1,sK3) ),
inference(superposition,[status(thm)],[c_553532,c_482111]) ).
tcf(c_584472,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = sK3 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X1,X0,sK3)
| ~ s_col(sK0,sK1,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_553533,c_482111]) ).
tcf(c_584473,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),s(s(X0,X1),X1),X2)
| ( sK0 = sK1 )
| ( X0 = sK3 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(s(X0,X1),s(s(X0,X1),X1),sK3) ),
inference(superposition,[status(thm)],[c_553989,c_482111]) ).
tcf(c_584474,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = sK3 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,sK3)
| ~ s_col(sK0,sK1,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_553998,c_482111]) ).
tcf(c_584475,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X0,X2)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(s(X0,s(X1,X0)),X0,sK3) ),
inference(superposition,[status(thm)],[c_553999,c_482111]) ).
tcf(c_584476,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(X0,X1)),X2)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(X1,s(X0,X1)),sK3) ),
inference(superposition,[status(thm)],[c_554000,c_482111]) ).
tcf(c_584477,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X0,X2)
| ( sK0 = sK1 )
| ( s(X0,X1) = sK3 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,s(X0,X1))
| ~ s_col(s(s(X0,X1),X1),X0,sK3) ),
inference(superposition,[status(thm)],[c_554385,c_482111]) ).
tcf(c_584478,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,X1),X2)
| ( sK0 = sK1 )
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = sK3 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,s(X0,X1),sK3)
| ~ s_col(sK0,sK1,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_554534,c_482111]) ).
tcf(c_584479,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X0,X2)
| ( sK0 = sK1 )
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = sK3 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(s(X0,X1),X0,sK3)
| ~ s_col(sK0,sK1,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_555168,c_482111]) ).
tcf(c_584480,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),s(X0,X1),X2)
| ( sK0 = sK1 )
| ( X0 = sK3 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(s(s(X0,X1),X1),s(X0,X1),sK3) ),
inference(superposition,[status(thm)],[c_555394,c_482111]) ).
tcf(c_584481,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X0,X1),X1),X2)
| ( sK0 = sK1 )
| ( s(X0,X1) = sK3 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,s(X0,X1))
| ~ s_col(X0,s(s(X0,X1),X1),sK3) ),
inference(superposition,[status(thm)],[c_555529,c_482111]) ).
tcf(c_584482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(s(X1,X0),X0,X2,X3),X4)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( ext(s(X1,X0),X0,X2,X3) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,ext(s(X1,X0),X0,X2,X3),sK3) ),
inference(superposition,[status(thm)],[c_558031,c_482111]) ).
tcf(c_584483,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(s(X0,X1),X1,X2,X3),X0,X4)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X0,sK3) ),
inference(superposition,[status(thm)],[c_558032,c_482111]) ).
tcf(c_584484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = sK3 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(X0,X1,sK3)
| ~ s_col(sK0,sK1,ext(s(X0,X1),X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_558033,c_482111]) ).
tcf(c_584485,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,s(s(X1,X0),X0)),X2)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(X0,s(s(X1,X0),X0)),sK3) ),
inference(superposition,[status(thm)],[c_571448,c_482111]) ).
tcf(c_584486,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(s(X1,X0),X0)),X1,X2)
| ( sK0 = sK1 )
| ( X0 = sK3 )
| ( s(X0,s(s(X1,X0),X0)) = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X1,sK3) ),
inference(superposition,[status(thm)],[c_571449,c_482111]) ).
tcf(c_584487,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = sK3 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X1,X0,sK3)
| ~ s_col(sK0,sK1,s(X0,s(s(X1,X0),X0))) ),
inference(superposition,[status(thm)],[c_571450,c_482111]) ).
tcf(c_584488,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X4)
| ( sK0 = sK1 )
| ( X2 = X3 )
| ( X0 = sK3 )
| ( X0 = X1 )
| ( ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X1 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,sK3) ),
inference(superposition,[status(thm)],[c_481511,c_482111]) ).
tcf(c_584489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X1,X5)
| ( sK0 = sK1 )
| ( X1 = X4 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = sK3 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_col(sK0,sK1,X5)
| ~ s_col(X4,X1,sK3)
| ~ sameside(X4,X1,X0)
| ~ s_col(sK0,sK1,ext(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_481736,c_482111]) ).
tcf(c_584490,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = sK3 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(X1,X0,sK3)
| ~ s_col(sK0,sK1,ext(s(X0,X1),X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_576541,c_482111]) ).
tcf(c_584491,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(s(X0,X1),X1,X2,X3),X1,X4)
| ( sK0 = sK1 )
| ( X0 = sK3 )
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X1,sK3) ),
inference(superposition,[status(thm)],[c_576542,c_482111]) ).
tcf(c_584492,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(s(X0,X1),X1,X2,X3),X4)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,ext(s(X0,X1),X1,X2,X3),sK3) ),
inference(superposition,[status(thm)],[c_576543,c_482111]) ).
tcf(c_584493,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = sK3 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,sK3)
| ~ s_col(sK0,sK1,s(X0,s(s(X1,X0),X0))) ),
inference(superposition,[status(thm)],[c_579122,c_482111]) ).
tcf(c_584494,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X0,X1),X1),X2)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(s(X0,X1),X1),sK3) ),
inference(superposition,[status(thm)],[c_517627,c_482111]) ).
tcf(c_584495,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X1,X2)
| ( sK0 = sK1 )
| ( X0 = sK3 )
| ( s(s(X0,X1),X1) = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(s(s(X0,X1),X1),X1,sK3) ),
inference(superposition,[status(thm)],[c_517628,c_482111]) ).
tcf(c_584496,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = sK3 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X1,X0,sK3)
| ~ s_col(sK0,sK1,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_517629,c_482111]) ).
tcf(c_584497,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(X0,X1)),X2)
| ( sK0 = sK1 )
| ( s(X0,X1) = sK3 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,s(X0,X1))
| ~ s_col(X0,s(X1,s(X0,X1)),sK3) ),
inference(superposition,[status(thm)],[c_519188,c_482111]) ).
tcf(c_584498,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = sK3 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,sK3)
| ~ s_col(sK0,sK1,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_519197,c_482111]) ).
tcf(c_584499,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X0,X2)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(s(s(X0,X1),X1),X0,sK3) ),
inference(superposition,[status(thm)],[c_519198,c_482111]) ).
tcf(c_584500,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X1,X0),X0),X2)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( s(s(X1,X0),X0) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(s(X1,X0),X0),sK3) ),
inference(superposition,[status(thm)],[c_519199,c_482111]) ).
tcf(c_584501,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),s(X1,X0),X2)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( s(X0,s(X1,X0)) = s(X1,X0) )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(s(X0,s(X1,X0)),s(X1,X0),sK3) ),
inference(superposition,[status(thm)],[c_519474,c_482111]) ).
tcf(c_584502,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X1,X0),X1,X2)
| ( sK0 = sK1 )
| ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = sK3 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(s(X1,X0),X1,sK3)
| ~ s_col(sK0,sK1,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_520000,c_482111]) ).
tcf(c_584503,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,s(X1,X0),X2)
| ( sK0 = sK1 )
| ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = sK3 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X1,s(X1,X0),sK3)
| ~ s_col(sK0,sK1,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_520925,c_482111]) ).
tcf(c_584504,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X1,X2)
| ( sK0 = sK1 )
| ( s(X1,X0) = sK3 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,s(X1,X0))
| ~ s_col(s(X0,s(X1,X0)),X1,sK3) ),
inference(superposition,[status(thm)],[c_521029,c_482111]) ).
tcf(c_584505,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),s(X1,s(X0,X1)),X2)
| ( sK0 = sK1 )
| ( X0 = sK3 )
| ( s(X1,s(X0,X1)) = s(X0,X1) )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(s(X0,X1),s(X1,s(X0,X1)),sK3) ),
inference(superposition,[status(thm)],[c_522349,c_482111]) ).
tcf(c_584506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X1,s(X0,X1),X2,X3),X4)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( ext(X1,s(X0,X1),X2,X3) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,ext(X1,s(X0,X1),X2,X3),sK3) ),
inference(superposition,[status(thm)],[c_523153,c_482111]) ).
tcf(c_584507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,s(X1,X0),X2,X3),X0,X4)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X0,sK3) ),
inference(superposition,[status(thm)],[c_523154,c_482111]) ).
tcf(c_584508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = sK3 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(X0,X1,sK3)
| ~ s_col(sK0,sK1,ext(X0,s(X1,X0),X2,X3)) ),
inference(superposition,[status(thm)],[c_523155,c_482111]) ).
tcf(c_584509,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(s(X0,X1),X1),X1),X2)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(s(s(X0,X1),X1),X1),sK3) ),
inference(superposition,[status(thm)],[c_529293,c_482111]) ).
tcf(c_584510,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(s(X0,X1),X1),X1),X1,X2)
| ( sK0 = sK1 )
| ( X0 = sK3 )
| ( s(s(s(X0,X1),X1),X1) = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(s(s(s(X0,X1),X1),X1),X1,sK3) ),
inference(superposition,[status(thm)],[c_529294,c_482111]) ).
tcf(c_584511,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = sK3 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X1,X0,sK3)
| ~ s_col(sK0,sK1,s(s(s(X0,X1),X1),X1)) ),
inference(superposition,[status(thm)],[c_529295,c_482111]) ).
tcf(c_584512,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = sK3 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(X1,X0,sK3)
| ~ s_col(sK0,sK1,ext(X0,s(X1,X0),X2,X3)) ),
inference(superposition,[status(thm)],[c_535610,c_482111]) ).
tcf(c_584513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,s(X1,X0),X2,X3),X1,X4)
| ( sK0 = sK1 )
| ( X0 = sK3 )
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X1,sK3) ),
inference(superposition,[status(thm)],[c_535611,c_482111]) ).
tcf(c_584514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X0,s(X1,X0),X2,X3),X4)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,ext(X0,s(X1,X0),X2,X3),sK3) ),
inference(superposition,[status(thm)],[c_535612,c_482111]) ).
tcf(c_584515,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = sK3 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,sK3)
| ~ s_col(sK0,sK1,s(s(s(X0,X1),X1),X1)) ),
inference(superposition,[status(thm)],[c_543639,c_482111]) ).
tcf(c_584516,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(s(X0,X1),X1),X1),X0,X2)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(s(s(s(X0,X1),X1),X1),X0,sK3) ),
inference(superposition,[status(thm)],[c_543640,c_482111]) ).
tcf(c_584517,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(s(X1,X0),X0),X0),X2)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( s(s(s(X1,X0),X0),X0) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(s(s(X1,X0),X0),X0),sK3) ),
inference(superposition,[status(thm)],[c_543641,c_482111]) ).
tcf(c_584518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(X0,ext(X0,X1,X2,X3)),X4)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(X0,ext(X0,X1,X2,X3)),sK3) ),
inference(superposition,[status(thm)],[c_548056,c_482111]) ).
tcf(c_584519,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(X0,ext(X0,X1,X2,X3)),X1,X4)
| ( sK0 = sK1 )
| ( X0 = sK3 )
| ( s(X0,ext(X0,X1,X2,X3)) = X1 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X1,sK3) ),
inference(superposition,[status(thm)],[c_548057,c_482111]) ).
tcf(c_584520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = sK3 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(X1,X0,sK3)
| ~ s_col(sK0,sK1,s(X0,ext(X0,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_548058,c_482111]) ).
tcf(c_584521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = sK3 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(X0,X1,sK3)
| ~ s_col(sK0,sK1,s(X0,ext(X0,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_548460,c_482111]) ).
tcf(c_584522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(X0,ext(X0,X1,X2,X3)),X0,X4)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X0,sK3) ),
inference(superposition,[status(thm)],[c_548461,c_482111]) ).
tcf(c_584523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(X1,ext(X1,X0,X2,X3)),X4)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( s(X1,ext(X1,X0,X2,X3)) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(X1,ext(X1,X0,X2,X3)),sK3) ),
inference(superposition,[status(thm)],[c_548462,c_482111]) ).
tcf(c_584524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(ext(X1,X0,X2,X3),X1),X4)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( s(ext(X1,X0,X2,X3),X1) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(ext(X1,X0,X2,X3),X1),sK3) ),
inference(superposition,[status(thm)],[c_499647,c_482111]) ).
tcf(c_584525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(ext(X0,X1,X2,X3),X0),X0,X4)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X0,sK3) ),
inference(superposition,[status(thm)],[c_499648,c_482111]) ).
tcf(c_584526,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = sK3 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(X0,X1,sK3)
| ~ s_col(sK0,sK1,s(ext(X0,X1,X2,X3),X0)) ),
inference(superposition,[status(thm)],[c_499649,c_482111]) ).
tcf(c_584527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK0 = sK1 )
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = sK3 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(X1,X0,sK3)
| ~ s_col(sK0,sK1,s(ext(X0,X1,X2,X3),X0)) ),
inference(superposition,[status(thm)],[c_503147,c_482111]) ).
tcf(c_584528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(ext(X0,X1,X2,X3),X0),X1,X4)
| ( sK0 = sK1 )
| ( X0 = sK3 )
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X1,sK3) ),
inference(superposition,[status(thm)],[c_503148,c_482111]) ).
tcf(c_584529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(ext(X0,X1,X2,X3),X0),X4)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(sK0,sK1,X4)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(ext(X0,X1,X2,X3),X0),sK3) ),
inference(superposition,[status(thm)],[c_503149,c_482111]) ).
tcf(c_584531,plain,
! [X0: $i] :
( s_col(sK0,sK3,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_584455,c_7182,c_7182]) ).
tcf(c_584537,plain,
! [X0: $i] :
( s_col(sK0,sK2,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK2,sK3)
| ~ s_col(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_584454,c_7182]) ).
tcf(c_584544,plain,
! [X0: $i] :
( s_col(sK3,sK1,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_584453,c_100,c_100]) ).
tcf(c_584550,plain,
! [X0: $i] :
( s_col(sK2,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK1,sK3)
| ~ s_col(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_584452,c_100]) ).
tcf(c_584557,plain,
! [X0: $i] :
( s_col(sK3,sK0,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_584451,c_100,c_7182]) ).
tcf(c_584563,plain,
! [X0: $i] :
( s_col(sK2,sK0,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK0,sK3)
| ~ s_col(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_584450,c_7182]) ).
tcf(c_584570,plain,
! [X0: $i] :
( s_col(sK1,sK3,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_584449,c_7182,c_100]) ).
tcf(c_584576,plain,
! [X0: $i] :
( s_col(sK1,sK2,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK2,sK3)
| ~ s_col(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_584448,c_100]) ).
tcf(c_585593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X7)
| ( X2 = X3 )
| ( X0 = X1 )
| ( f813(X2,X3,X4,X5,X6) = X3 )
| ~ s_col(X2,X3,X7)
| ~ s_col(X0,X1,X3)
| ~ perpAt(X2,X3,X6,X4,X5)
| ~ s_col(X0,X1,f813(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_195,c_482112]) ).
tcf(c_585594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X7)
| ( X4 = X5 )
| ( X0 = X1 )
| ( g813(X2,X3,X4,X5,X6) = X5 )
| ~ s_col(X4,X5,X7)
| ~ s_col(X0,X1,X5)
| ~ perpAt(X2,X3,X6,X4,X5)
| ~ s_col(X0,X1,g813(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_196,c_482112]) ).
tcf(c_585595,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,sK2)
| ~ s_col(X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_5023,c_482112]) ).
tcf(c_585596,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(X0,X1,sK3)
| ~ s_col(X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_5022,c_482112]) ).
tcf(c_585597,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X7)
| perpAt(X2,X3,X6,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( f811(X2,X3,X4,X5,X6) = X3 )
| ~ s_col(X4,X5,X6)
| ~ s_col(X2,X3,X7)
| ~ s_col(X2,X3,X6)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,f811(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_256,c_482112]) ).
tcf(c_585598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X7)
| perpAt(X2,X3,X6,X4,X5)
| ( X4 = X5 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( g811(X2,X3,X4,X5,X6) = X5 )
| ~ s_col(X4,X5,X7)
| ~ s_col(X4,X5,X6)
| ~ s_col(X2,X3,X6)
| ~ s_col(X0,X1,X5)
| ~ s_col(X0,X1,g811(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_257,c_482112]) ).
tcf(c_585599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X7)
| ( X5 = X6 )
| ( X0 = X1 )
| ( insert5(X2,X3,X4,X5,X6) = X6 )
| ~ s_col(X5,X6,X7)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X6)
| ~ s_e(X2,X3,X5,X6)
| ~ s_col(X0,X1,insert5(X2,X3,X4,X5,X6)) ),
inference(superposition,[status(thm)],[c_480519,c_482112]) ).
tcf(c_585601,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( X0 = X1 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(X0,X1,sK2)
| ~ s_col(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_480443,c_482112]) ).
tcf(c_585602,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( X0 = X1 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(X0,X1,sK3)
| ~ s_col(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_480444,c_482112]) ).
tcf(c_585603,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(X0,X1,sK1)
| ~ s_col(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_480452,c_482112]) ).
tcf(c_585604,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(X0,X1,sK1)
| ~ s_col(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_480453,c_482112]) ).
tcf(c_585605,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK2 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(X0,X1,sK1)
| ~ s_col(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_480461,c_482112]) ).
tcf(c_585606,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK3 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK3,sK1,X2)
| ~ s_col(X0,X1,sK1)
| ~ s_col(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_480462,c_482112]) ).
tcf(c_585607,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( X0 = X1 )
| ~ s_col(sK0,sK2,X2)
| ~ s_col(X0,X1,sK2)
| ~ s_col(X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_480464,c_482112]) ).
tcf(c_585608,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( X0 = X1 )
| ~ s_col(sK0,sK3,X2)
| ~ s_col(X0,X1,sK3)
| ~ s_col(X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_480467,c_482112]) ).
tcf(c_585609,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK1,sK0,X2)
| ~ s_col(X0,X1,sK2)
| ~ s_col(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_480476,c_482112]) ).
tcf(c_585610,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK1,sK0,X2)
| ~ s_col(X0,X1,sK3)
| ~ s_col(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_480477,c_482112]) ).
tcf(c_585611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,X1,X6)
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(X2,X3,X4,X5) = X3 )
| ~ s_col(X2,X3,X6)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_484594,c_482112]) ).
tcf(c_585612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,X0)
| ~ s_col(ext(X0,X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_484605,c_482112]) ).
tcf(c_585613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,X0)
| ~ s_col(ext(X0,X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_484709,c_482112]) ).
tcf(c_585614,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( ext(X0,X1,X2,X3) = X1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,ext(X0,X1,X2,X3))
| ~ s_col(X0,ext(X0,X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_484720,c_482112]) ).
tcf(c_585615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,X1,X6)
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(X2,X3,X4,X5) = X2 )
| ~ s_col(X3,X2,X6)
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_484758,c_482112]) ).
tcf(c_585616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( ext(X1,X0,X2,X3) = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,ext(X1,X0,X2,X3))
| ~ s_col(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_484747,c_482112]) ).
tcf(c_585617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X0,X1) = X1 )
| ( s(X0,X1) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,s(X0,X1))
| ~ s_col(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_485946,c_482112]) ).
tcf(c_585618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ( s(X0,X1) = X1 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,X0)
| ~ s_col(s(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_485947,c_482112]) ).
tcf(c_585619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,X3) = X2 )
| ~ s_col(X3,X2,X4)
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_485948,c_482112]) ).
tcf(c_585620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,X3) = X3 )
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_486075,c_482112]) ).
tcf(c_585621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ( s(X0,X1) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,X0)
| ~ s_col(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_486077,c_482112]) ).
tcf(c_585622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X1,X0) = X1 )
| ( s(X1,X0) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,s(X1,X0))
| ~ s_col(X0,s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_486076,c_482112]) ).
tcf(c_585623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X0,s(X1,X0)) = X1 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,s(X0,s(X1,X0)))
| ~ s_col(X0,s(X0,s(X1,X0)),X2) ),
inference(superposition,[status(thm)],[c_553531,c_482112]) ).
tcf(c_585624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,X0)
| ~ s_col(s(X0,s(X1,X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_553532,c_482112]) ).
tcf(c_585625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,s(X3,X2)) = X2 )
| ~ s_col(X3,X2,X4)
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,s(X2,s(X3,X2))) ),
inference(superposition,[status(thm)],[c_553533,c_482112]) ).
tcf(c_585626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(s(X0,X1),X1) = X0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(X3,X4,X0)
| ~ s_col(X3,X4,s(s(X0,X1),X1))
| ~ s_col(s(X0,X1),s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_553989,c_482112]) ).
tcf(c_585627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,s(X3,X2)) = X3 )
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,s(X2,s(X3,X2))) ),
inference(superposition,[status(thm)],[c_553998,c_482112]) ).
tcf(c_585628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,X0)
| ~ s_col(s(X0,s(X1,X0)),X0,X2) ),
inference(superposition,[status(thm)],[c_553999,c_482112]) ).
tcf(c_585629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X1,s(X0,X1)) = X1 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,s(X1,s(X0,X1)))
| ~ s_col(X0,s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_554000,c_482112]) ).
tcf(c_585630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(X3,X4,X0)
| ~ s_col(X3,X4,s(X0,X1))
| ~ s_col(s(s(X0,X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_554385,c_482112]) ).
tcf(c_585631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( s(X2,X3) = X2 )
| ( s(s(X2,X3),X3) = s(X2,X3) )
| ~ s_col(X2,s(X2,X3),X4)
| ~ s_col(X0,X1,s(X2,X3))
| ~ s_col(X0,X1,s(s(X2,X3),X3)) ),
inference(superposition,[status(thm)],[c_554534,c_482112]) ).
tcf(c_585632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( s(X2,X3) = X2 )
| ( s(s(X2,X3),X3) = X2 )
| ~ s_col(X0,X1,X2)
| ~ s_col(s(X2,X3),X2,X4)
| ~ s_col(X0,X1,s(s(X2,X3),X3)) ),
inference(superposition,[status(thm)],[c_555168,c_482112]) ).
tcf(c_585633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(X3,X4,X0)
| ~ s_col(X3,X4,s(X0,X1))
| ~ s_col(s(s(X0,X1),X1),s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_555394,c_482112]) ).
tcf(c_585634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(s(X0,X1),X1) = X0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(X3,X4,s(X0,X1))
| ~ s_col(X3,X4,s(s(X0,X1),X1))
| ~ s_col(X0,s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_555529,c_482112]) ).
tcf(c_585635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( ext(s(X1,X0),X0,X2,X3) = X1 )
| ( ext(s(X1,X0),X0,X2,X3) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,ext(s(X1,X0),X0,X2,X3))
| ~ s_col(X0,ext(s(X1,X0),X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_558031,c_482112]) ).
tcf(c_585636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,X0)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_558032,c_482112]) ).
tcf(c_585637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,X1,X6)
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(s(X2,X3),X3,X4,X5) = X3 )
| ~ s_col(X2,X3,X6)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,ext(s(X2,X3),X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_558033,c_482112]) ).
tcf(c_585638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X0,s(s(X1,X0),X0)) = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,s(X0,s(s(X1,X0),X0)))
| ~ s_col(X0,s(X0,s(s(X1,X0),X0)),X2) ),
inference(superposition,[status(thm)],[c_571448,c_482112]) ).
tcf(c_585639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X1 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,X0)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_571449,c_482112]) ).
tcf(c_585640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,s(s(X3,X2),X2)) = X2 )
| ~ s_col(X3,X2,X4)
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,s(X2,s(s(X3,X2),X2))) ),
inference(superposition,[status(thm)],[c_571450,c_482112]) ).
tcf(c_585641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X1 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,X0)
| ~ s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_481511,c_482112]) ).
tcf(c_585642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( s_col(X0,X1,X7)
| ( X3 = X6 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(X2,X3,X4,X5) = X3 )
| ~ sameside(X6,X3,X2)
| ~ s_col(X6,X3,X7)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,ext(X2,X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_481736,c_482112]) ).
tcf(c_585643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,X1,X6)
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(s(X2,X3),X3,X4,X5) = X2 )
| ~ s_col(X3,X2,X6)
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,ext(s(X2,X3),X3,X4,X5)) ),
inference(superposition,[status(thm)],[c_576541,c_482112]) ).
tcf(c_585644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,X0)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_576542,c_482112]) ).
tcf(c_585645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,ext(s(X0,X1),X1,X2,X3))
| ~ s_col(X0,ext(s(X0,X1),X1,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_576543,c_482112]) ).
tcf(c_585646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,s(s(X3,X2),X2)) = X3 )
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,s(X2,s(s(X3,X2),X2))) ),
inference(superposition,[status(thm)],[c_579122,c_482112]) ).
tcf(c_585647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(s(X0,X1),X1) = X1 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,s(s(X0,X1),X1))
| ~ s_col(X0,s(s(X0,X1),X1),X2) ),
inference(superposition,[status(thm)],[c_517627,c_482112]) ).
tcf(c_585648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = X1 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,X0)
| ~ s_col(s(s(X0,X1),X1),X1,X2) ),
inference(superposition,[status(thm)],[c_517628,c_482112]) ).
tcf(c_585649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(s(X2,X3),X3) = X2 )
| ~ s_col(X3,X2,X4)
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,s(s(X2,X3),X3)) ),
inference(superposition,[status(thm)],[c_517629,c_482112]) ).
tcf(c_585650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X1,s(X0,X1)) = X0 )
| ( s(X1,s(X0,X1)) = s(X0,X1) )
| ~ s_col(X3,X4,s(X0,X1))
| ~ s_col(X3,X4,s(X1,s(X0,X1)))
| ~ s_col(X0,s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_519188,c_482112]) ).
tcf(c_585651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(s(X2,X3),X3) = X3 )
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,s(s(X2,X3),X3)) ),
inference(superposition,[status(thm)],[c_519197,c_482112]) ).
tcf(c_585652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,X0)
| ~ s_col(s(s(X0,X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_519198,c_482112]) ).
tcf(c_585653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(s(X1,X0),X0) = X1 )
| ( s(s(X1,X0),X0) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,s(s(X1,X0),X0))
| ~ s_col(X0,s(s(X1,X0),X0),X2) ),
inference(superposition,[status(thm)],[c_519199,c_482112]) ).
tcf(c_585654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = s(X1,X0) )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,s(X1,X0))
| ~ s_col(s(X0,s(X1,X0)),s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_519474,c_482112]) ).
tcf(c_585655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( s(X3,X2) = X3 )
| ( s(X2,s(X3,X2)) = X3 )
| ~ s_col(X0,X1,X3)
| ~ s_col(s(X3,X2),X3,X4)
| ~ s_col(X0,X1,s(X2,s(X3,X2))) ),
inference(superposition,[status(thm)],[c_520000,c_482112]) ).
tcf(c_585656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( s(X3,X2) = X3 )
| ( s(X2,s(X3,X2)) = s(X3,X2) )
| ~ s_col(X3,s(X3,X2),X4)
| ~ s_col(X0,X1,s(X3,X2))
| ~ s_col(X0,X1,s(X2,s(X3,X2))) ),
inference(superposition,[status(thm)],[c_520925,c_482112]) ).
tcf(c_585657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,s(X1,X0))
| ~ s_col(s(X0,s(X1,X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_521029,c_482112]) ).
tcf(c_585658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X1,s(X0,X1)) = X0 )
| ( s(X1,s(X0,X1)) = s(X0,X1) )
| ~ s_col(X3,X4,X0)
| ~ s_col(X3,X4,s(X1,s(X0,X1)))
| ~ s_col(s(X0,X1),s(X1,s(X0,X1)),X2) ),
inference(superposition,[status(thm)],[c_522349,c_482112]) ).
tcf(c_585659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( ext(X1,s(X0,X1),X2,X3) = X1 )
| ( ext(X1,s(X0,X1),X2,X3) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,ext(X1,s(X0,X1),X2,X3))
| ~ s_col(X0,ext(X1,s(X0,X1),X2,X3),X4) ),
inference(superposition,[status(thm)],[c_523153,c_482112]) ).
tcf(c_585660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,X0)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X0,X4) ),
inference(superposition,[status(thm)],[c_523154,c_482112]) ).
tcf(c_585661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,X1,X6)
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(X2,s(X3,X2),X4,X5) = X3 )
| ~ s_col(X2,X3,X6)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,ext(X2,s(X3,X2),X4,X5)) ),
inference(superposition,[status(thm)],[c_523155,c_482112]) ).
tcf(c_585662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(s(s(X0,X1),X1),X1) = X1 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,s(s(s(X0,X1),X1),X1))
| ~ s_col(X0,s(s(s(X0,X1),X1),X1),X2) ),
inference(superposition,[status(thm)],[c_529293,c_482112]) ).
tcf(c_585663,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = X1 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,X0)
| ~ s_col(s(s(s(X0,X1),X1),X1),X1,X2) ),
inference(superposition,[status(thm)],[c_529294,c_482112]) ).
tcf(c_585664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(s(s(X2,X3),X3),X3) = X2 )
| ~ s_col(X3,X2,X4)
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,s(s(s(X2,X3),X3),X3)) ),
inference(superposition,[status(thm)],[c_529295,c_482112]) ).
tcf(c_585665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,X1,X6)
| ( X2 = X3 )
| ( X0 = X1 )
| ( ext(X2,s(X3,X2),X4,X5) = X2 )
| ~ s_col(X3,X2,X6)
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,ext(X2,s(X3,X2),X4,X5)) ),
inference(superposition,[status(thm)],[c_535610,c_482112]) ).
tcf(c_585666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,X0)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X1,X4) ),
inference(superposition,[status(thm)],[c_535611,c_482112]) ).
tcf(c_585667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,ext(X0,s(X1,X0),X2,X3))
| ~ s_col(X0,ext(X0,s(X1,X0),X2,X3),X4) ),
inference(superposition,[status(thm)],[c_535612,c_482112]) ).
tcf(c_585668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(s(s(X2,X3),X3),X3) = X3 )
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,s(s(s(X2,X3),X3),X3)) ),
inference(superposition,[status(thm)],[c_543639,c_482112]) ).
tcf(c_585669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,X0)
| ~ s_col(s(s(s(X0,X1),X1),X1),X0,X2) ),
inference(superposition,[status(thm)],[c_543640,c_482112]) ).
tcf(c_585670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(s(s(X1,X0),X0),X0) = X1 )
| ( s(s(s(X1,X0),X0),X0) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,s(s(s(X1,X0),X0),X0))
| ~ s_col(X0,s(s(s(X1,X0),X0),X0),X2) ),
inference(superposition,[status(thm)],[c_543641,c_482112]) ).
tcf(c_585671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( s(X0,ext(X0,X1,X2,X3)) = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,s(X0,ext(X0,X1,X2,X3)))
| ~ s_col(X0,s(X0,ext(X0,X1,X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_548056,c_482112]) ).
tcf(c_585672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X1 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,X0)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X1,X4) ),
inference(superposition,[status(thm)],[c_548057,c_482112]) ).
tcf(c_585673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,X1,X6)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,ext(X2,X3,X4,X5)) = X2 )
| ~ s_col(X3,X2,X6)
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,s(X2,ext(X2,X3,X4,X5))) ),
inference(superposition,[status(thm)],[c_548058,c_482112]) ).
tcf(c_585674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,X1,X6)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(X2,ext(X2,X3,X4,X5)) = X3 )
| ~ s_col(X2,X3,X6)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,s(X2,ext(X2,X3,X4,X5))) ),
inference(superposition,[status(thm)],[c_548460,c_482112]) ).
tcf(c_585675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,X0)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X0,X4) ),
inference(superposition,[status(thm)],[c_548461,c_482112]) ).
tcf(c_585676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( s(X1,ext(X1,X0,X2,X3)) = X1 )
| ( s(X1,ext(X1,X0,X2,X3)) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,s(X1,ext(X1,X0,X2,X3)))
| ~ s_col(X0,s(X1,ext(X1,X0,X2,X3)),X4) ),
inference(superposition,[status(thm)],[c_548462,c_482112]) ).
tcf(c_585677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( s(ext(X1,X0,X2,X3),X1) = X1 )
| ( s(ext(X1,X0,X2,X3),X1) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,s(ext(X1,X0,X2,X3),X1))
| ~ s_col(X0,s(ext(X1,X0,X2,X3),X1),X4) ),
inference(superposition,[status(thm)],[c_499647,c_482112]) ).
tcf(c_585678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,X0)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X0,X4) ),
inference(superposition,[status(thm)],[c_499648,c_482112]) ).
tcf(c_585679,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,X1,X6)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(ext(X2,X3,X4,X5),X2) = X3 )
| ~ s_col(X2,X3,X6)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,s(ext(X2,X3,X4,X5),X2)) ),
inference(superposition,[status(thm)],[c_499649,c_482112]) ).
tcf(c_585680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,X1,X6)
| ( X2 = X3 )
| ( X0 = X1 )
| ( s(ext(X2,X3,X4,X5),X2) = X2 )
| ~ s_col(X3,X2,X6)
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,s(ext(X2,X3,X4,X5),X2)) ),
inference(superposition,[status(thm)],[c_503147,c_482112]) ).
tcf(c_585681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,X0)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X1,X4) ),
inference(superposition,[status(thm)],[c_503148,c_482112]) ).
tcf(c_585682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X5,X6,X4)
| ( X5 = X6 )
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(X5,X6,X1)
| ~ s_col(X5,X6,s(ext(X0,X1,X2,X3),X0))
| ~ s_col(X0,s(ext(X0,X1,X2,X3),X0),X4) ),
inference(superposition,[status(thm)],[c_503149,c_482112]) ).
tcf(c_586719,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( X0 = X1 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X0)
| ~ s_col(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_100,c_482113]) ).
tcf(c_586720,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( f813(X0,X1,X2,X3,X4) = sK0 )
| ~ s_col(sK1,sK2,X5)
| ~ s_col(X0,X1,sK0)
| ~ perpAt(X0,X1,X4,X2,X3)
| ~ s_col(sK1,sK2,f813(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_195,c_482113]) ).
tcf(c_586721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X2,X3,X5)
| ( sK1 = sK2 )
| ( X2 = X3 )
| ( g813(X0,X1,X2,X3,X4) = sK0 )
| ~ s_col(sK1,sK2,X5)
| ~ s_col(X2,X3,sK0)
| ~ perpAt(X0,X1,X4,X2,X3)
| ~ s_col(sK1,sK2,g813(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_196,c_482113]) ).
tcf(c_586722,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK2,sK2)
| ~ s_col(sK0,sK1,sK0)
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_5023,c_482113]) ).
tcf(c_586723,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK2,sK3)
| ~ s_col(sK0,sK1,sK0)
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_5022,c_482113]) ).
tcf(c_586724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| perpAt(X0,X1,X4,X2,X3)
| ( sK1 = sK2 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( f811(X0,X1,X2,X3,X4) = sK0 )
| ~ s_col(sK1,sK2,X5)
| ~ s_col(X0,X1,sK0)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(sK1,sK2,f811(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_256,c_482113]) ).
tcf(c_586725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X2,X3,X5)
| perpAt(X0,X1,X4,X2,X3)
| ( sK1 = sK2 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( g811(X0,X1,X2,X3,X4) = sK0 )
| ~ s_col(sK1,sK2,X5)
| ~ s_col(X2,X3,sK0)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(sK1,sK2,g811(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_257,c_482113]) ).
tcf(c_586726,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X3,X4,X5)
| ( sK1 = sK2 )
| ( X3 = X4 )
| ( insert5(X0,X1,X2,X3,X4) = sK0 )
| ~ s_col(sK1,sK2,X5)
| ~ s_col(X3,X4,sK0)
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,X3,X4)
| ~ s_col(sK1,sK2,insert5(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480519,c_482113]) ).
tcf(c_586727,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( X0 = X1 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_7182,c_482113]) ).
tcf(c_586730,plain,
! [X0: $i] :
( s_col(sK2,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK0,sK0)
| ~ s_col(sK1,sK2,sK1)
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_480452,c_482113]) ).
tcf(c_586731,plain,
! [X0: $i] :
( s_col(sK3,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK0,sK0)
| ~ s_col(sK1,sK2,sK1)
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_480453,c_482113]) ).
tcf(c_586734,plain,
! [X0: $i] :
( s_col(sK0,sK2,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK2,sK1)
| ~ s_col(sK0,sK2,sK0)
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_480464,c_482113]) ).
tcf(c_586735,plain,
! [X0: $i] :
( s_col(sK0,sK3,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK2,sK1)
| ~ s_col(sK0,sK3,sK0)
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_480467,c_482113]) ).
tcf(c_586736,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK2,sK2)
| ~ s_col(sK1,sK0,sK0)
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_480476,c_482113]) ).
tcf(c_586737,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK2,sK3)
| ~ s_col(sK1,sK0,sK0)
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_480477,c_482113]) ).
tcf(c_586738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = sK0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK1,sK2,ext(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_484594,c_482113]) ).
tcf(c_586739,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,X1,X2,X3),X1,X4)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(sK1,sK2,X0)
| ~ s_col(ext(X0,X1,X2,X3),X1,sK0) ),
inference(superposition,[status(thm)],[c_484605,c_482113]) ).
tcf(c_586740,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,X1,X2,X3),X0,X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(ext(X0,X1,X2,X3),X0,sK0) ),
inference(superposition,[status(thm)],[c_484709,c_482113]) ).
tcf(c_586741,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X0,X1,X2,X3),X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(X0,ext(X0,X1,X2,X3),sK0) ),
inference(superposition,[status(thm)],[c_484720,c_482113]) ).
tcf(c_586742,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = sK0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK1,sK2,ext(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_484758,c_482113]) ).
tcf(c_586743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X1,X0,X2,X3),X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(X0,ext(X1,X0,X2,X3),sK0) ),
inference(superposition,[status(thm)],[c_484747,c_482113]) ).
tcf(c_586744,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,X1),X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X0,X1) = X0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(X0,s(X0,X1),sK0) ),
inference(superposition,[status(thm)],[c_485946,c_482113]) ).
tcf(c_586745,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X1,X2)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( s(X0,X1) = X1 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X0)
| ~ s_col(s(X0,X1),X1,sK0) ),
inference(superposition,[status(thm)],[c_485947,c_482113]) ).
tcf(c_586746,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(X0,X1) = sK0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK1,sK2,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_485948,c_482113]) ).
tcf(c_586747,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(X0,X1) = sK0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK1,sK2,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_486075,c_482113]) ).
tcf(c_586748,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X0,X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X0,X1) = X0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(s(X0,X1),X0,sK0) ),
inference(superposition,[status(thm)],[c_486077,c_482113]) ).
tcf(c_586749,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,X0),X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X1,X0) = X0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(X0,s(X1,X0),sK0) ),
inference(superposition,[status(thm)],[c_486076,c_482113]) ).
tcf(c_586750,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,s(X1,X0)),X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(X0,s(X0,s(X1,X0)),sK0) ),
inference(superposition,[status(thm)],[c_553531,c_482113]) ).
tcf(c_586751,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X1,X2)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X0)
| ~ s_col(s(X0,s(X1,X0)),X1,sK0) ),
inference(superposition,[status(thm)],[c_553532,c_482113]) ).
tcf(c_586752,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = sK0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK1,sK2,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_553533,c_482113]) ).
tcf(c_586753,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),s(s(X0,X1),X1),X2)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X0)
| ~ s_col(s(X0,X1),s(s(X0,X1),X1),sK0) ),
inference(superposition,[status(thm)],[c_553989,c_482113]) ).
tcf(c_586754,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = sK0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK1,sK2,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_553998,c_482113]) ).
tcf(c_586755,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X0,X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(s(X0,s(X1,X0)),X0,sK0) ),
inference(superposition,[status(thm)],[c_553999,c_482113]) ).
tcf(c_586756,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(X0,X1)),X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(X0,s(X1,s(X0,X1)),sK0) ),
inference(superposition,[status(thm)],[c_554000,c_482113]) ).
tcf(c_586757,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X0,X2)
| ( sK1 = sK2 )
| ( s(X0,X1) = sK0 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,s(X0,X1))
| ~ s_col(s(s(X0,X1),X1),X0,sK0) ),
inference(superposition,[status(thm)],[c_554385,c_482113]) ).
tcf(c_586758,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,X1),X2)
| ( sK1 = sK2 )
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = sK0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(X0,s(X0,X1),sK0)
| ~ s_col(sK1,sK2,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_554534,c_482113]) ).
tcf(c_586759,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X0,X2)
| ( sK1 = sK2 )
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = sK0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(s(X0,X1),X0,sK0)
| ~ s_col(sK1,sK2,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_555168,c_482113]) ).
tcf(c_586760,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),s(X0,X1),X2)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X0)
| ~ s_col(s(s(X0,X1),X1),s(X0,X1),sK0) ),
inference(superposition,[status(thm)],[c_555394,c_482113]) ).
tcf(c_586761,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X0,X1),X1),X2)
| ( sK1 = sK2 )
| ( s(X0,X1) = sK0 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,s(X0,X1))
| ~ s_col(X0,s(s(X0,X1),X1),sK0) ),
inference(superposition,[status(thm)],[c_555529,c_482113]) ).
tcf(c_586762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(s(X1,X0),X0,X2,X3),X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( ext(s(X1,X0),X0,X2,X3) = X0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(X0,ext(s(X1,X0),X0,X2,X3),sK0) ),
inference(superposition,[status(thm)],[c_558031,c_482113]) ).
tcf(c_586763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(s(X0,X1),X1,X2,X3),X0,X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X0,sK0) ),
inference(superposition,[status(thm)],[c_558032,c_482113]) ).
tcf(c_586764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = sK0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK1,sK2,ext(s(X0,X1),X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_558033,c_482113]) ).
tcf(c_586765,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,s(s(X1,X0),X0)),X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(X0,s(X0,s(s(X1,X0),X0)),sK0) ),
inference(superposition,[status(thm)],[c_571448,c_482113]) ).
tcf(c_586766,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(s(X1,X0),X0)),X1,X2)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( s(X0,s(s(X1,X0),X0)) = X1 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X0)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X1,sK0) ),
inference(superposition,[status(thm)],[c_571449,c_482113]) ).
tcf(c_586767,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = sK0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK1,sK2,s(X0,s(s(X1,X0),X0))) ),
inference(superposition,[status(thm)],[c_571450,c_482113]) ).
tcf(c_586768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X4)
| ( sK1 = sK2 )
| ( X2 = X3 )
| ( X0 = sK0 )
| ( X0 = X1 )
| ( ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X1 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(sK1,sK2,X0)
| ~ s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,sK0) ),
inference(superposition,[status(thm)],[c_481511,c_482113]) ).
tcf(c_586769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X1,X5)
| ( sK1 = sK2 )
| ( X1 = X4 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = sK0 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_col(sK1,sK2,X5)
| ~ s_col(X4,X1,sK0)
| ~ sameside(X4,X1,X0)
| ~ s_col(sK1,sK2,ext(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_481736,c_482113]) ).
tcf(c_586770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = sK0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK1,sK2,ext(s(X0,X1),X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_576541,c_482113]) ).
tcf(c_586771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(s(X0,X1),X1,X2,X3),X1,X4)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(sK1,sK2,X0)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X1,sK0) ),
inference(superposition,[status(thm)],[c_576542,c_482113]) ).
tcf(c_586772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(s(X0,X1),X1,X2,X3),X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(X0,ext(s(X0,X1),X1,X2,X3),sK0) ),
inference(superposition,[status(thm)],[c_576543,c_482113]) ).
tcf(c_586773,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = sK0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK1,sK2,s(X0,s(s(X1,X0),X0))) ),
inference(superposition,[status(thm)],[c_579122,c_482113]) ).
tcf(c_586774,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X0,X1),X1),X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(X0,s(s(X0,X1),X1),sK0) ),
inference(superposition,[status(thm)],[c_517627,c_482113]) ).
tcf(c_586775,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X1,X2)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( s(s(X0,X1),X1) = X1 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X0)
| ~ s_col(s(s(X0,X1),X1),X1,sK0) ),
inference(superposition,[status(thm)],[c_517628,c_482113]) ).
tcf(c_586776,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = sK0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK1,sK2,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_517629,c_482113]) ).
tcf(c_586777,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(X0,X1)),X2)
| ( sK1 = sK2 )
| ( s(X0,X1) = sK0 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,s(X0,X1))
| ~ s_col(X0,s(X1,s(X0,X1)),sK0) ),
inference(superposition,[status(thm)],[c_519188,c_482113]) ).
tcf(c_586778,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = sK0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK1,sK2,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_519197,c_482113]) ).
tcf(c_586779,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X0,X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(s(s(X0,X1),X1),X0,sK0) ),
inference(superposition,[status(thm)],[c_519198,c_482113]) ).
tcf(c_586780,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X1,X0),X0),X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(s(X1,X0),X0) = X0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(X0,s(s(X1,X0),X0),sK0) ),
inference(superposition,[status(thm)],[c_519199,c_482113]) ).
tcf(c_586781,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),s(X1,X0),X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X0,s(X1,X0)) = s(X1,X0) )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(s(X0,s(X1,X0)),s(X1,X0),sK0) ),
inference(superposition,[status(thm)],[c_519474,c_482113]) ).
tcf(c_586782,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X1,X0),X1,X2)
| ( sK1 = sK2 )
| ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = sK0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(s(X1,X0),X1,sK0)
| ~ s_col(sK1,sK2,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_520000,c_482113]) ).
tcf(c_586783,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,s(X1,X0),X2)
| ( sK1 = sK2 )
| ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = sK0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(X1,s(X1,X0),sK0)
| ~ s_col(sK1,sK2,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_520925,c_482113]) ).
tcf(c_586784,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X1,X2)
| ( sK1 = sK2 )
| ( s(X1,X0) = sK0 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,s(X1,X0))
| ~ s_col(s(X0,s(X1,X0)),X1,sK0) ),
inference(superposition,[status(thm)],[c_521029,c_482113]) ).
tcf(c_586785,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),s(X1,s(X0,X1)),X2)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( s(X1,s(X0,X1)) = s(X0,X1) )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X0)
| ~ s_col(s(X0,X1),s(X1,s(X0,X1)),sK0) ),
inference(superposition,[status(thm)],[c_522349,c_482113]) ).
tcf(c_586786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X1,s(X0,X1),X2,X3),X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( ext(X1,s(X0,X1),X2,X3) = X0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(X0,ext(X1,s(X0,X1),X2,X3),sK0) ),
inference(superposition,[status(thm)],[c_523153,c_482113]) ).
tcf(c_586787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,s(X1,X0),X2,X3),X0,X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X0,sK0) ),
inference(superposition,[status(thm)],[c_523154,c_482113]) ).
tcf(c_586788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = sK0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK1,sK2,ext(X0,s(X1,X0),X2,X3)) ),
inference(superposition,[status(thm)],[c_523155,c_482113]) ).
tcf(c_586789,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(s(X0,X1),X1),X1),X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(X0,s(s(s(X0,X1),X1),X1),sK0) ),
inference(superposition,[status(thm)],[c_529293,c_482113]) ).
tcf(c_586790,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(s(X0,X1),X1),X1),X1,X2)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( s(s(s(X0,X1),X1),X1) = X1 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X0)
| ~ s_col(s(s(s(X0,X1),X1),X1),X1,sK0) ),
inference(superposition,[status(thm)],[c_529294,c_482113]) ).
tcf(c_586791,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = sK0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK1,sK2,s(s(s(X0,X1),X1),X1)) ),
inference(superposition,[status(thm)],[c_529295,c_482113]) ).
tcf(c_586792,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = sK0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK1,sK2,ext(X0,s(X1,X0),X2,X3)) ),
inference(superposition,[status(thm)],[c_535610,c_482113]) ).
tcf(c_586793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,s(X1,X0),X2,X3),X1,X4)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(sK1,sK2,X0)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X1,sK0) ),
inference(superposition,[status(thm)],[c_535611,c_482113]) ).
tcf(c_586794,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X0,s(X1,X0),X2,X3),X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(X0,ext(X0,s(X1,X0),X2,X3),sK0) ),
inference(superposition,[status(thm)],[c_535612,c_482113]) ).
tcf(c_586795,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = sK0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK1,sK2,s(s(s(X0,X1),X1),X1)) ),
inference(superposition,[status(thm)],[c_543639,c_482113]) ).
tcf(c_586796,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(s(X0,X1),X1),X1),X0,X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(s(s(s(X0,X1),X1),X1),X0,sK0) ),
inference(superposition,[status(thm)],[c_543640,c_482113]) ).
tcf(c_586797,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(s(X1,X0),X0),X0),X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(s(s(X1,X0),X0),X0) = X0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(X0,s(s(s(X1,X0),X0),X0),sK0) ),
inference(superposition,[status(thm)],[c_543641,c_482113]) ).
tcf(c_586798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(X0,ext(X0,X1,X2,X3)),X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(X0,s(X0,ext(X0,X1,X2,X3)),sK0) ),
inference(superposition,[status(thm)],[c_548056,c_482113]) ).
tcf(c_586799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(X0,ext(X0,X1,X2,X3)),X1,X4)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( s(X0,ext(X0,X1,X2,X3)) = X1 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(sK1,sK2,X0)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X1,sK0) ),
inference(superposition,[status(thm)],[c_548057,c_482113]) ).
tcf(c_586800,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = sK0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK1,sK2,s(X0,ext(X0,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_548058,c_482113]) ).
tcf(c_586801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = sK0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK1,sK2,s(X0,ext(X0,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_548460,c_482113]) ).
tcf(c_586802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(X0,ext(X0,X1,X2,X3)),X0,X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X0,sK0) ),
inference(superposition,[status(thm)],[c_548461,c_482113]) ).
tcf(c_586803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(X1,ext(X1,X0,X2,X3)),X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X1,ext(X1,X0,X2,X3)) = X0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(X0,s(X1,ext(X1,X0,X2,X3)),sK0) ),
inference(superposition,[status(thm)],[c_548462,c_482113]) ).
tcf(c_586804,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(ext(X1,X0,X2,X3),X1),X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(ext(X1,X0,X2,X3),X1) = X0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(X0,s(ext(X1,X0,X2,X3),X1),sK0) ),
inference(superposition,[status(thm)],[c_499647,c_482113]) ).
tcf(c_586805,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(ext(X0,X1,X2,X3),X0),X0,X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X0,sK0) ),
inference(superposition,[status(thm)],[c_499648,c_482113]) ).
tcf(c_586806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = sK0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK1,sK2,s(ext(X0,X1,X2,X3),X0)) ),
inference(superposition,[status(thm)],[c_499649,c_482113]) ).
tcf(c_586807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = sK0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK1,sK2,s(ext(X0,X1,X2,X3),X0)) ),
inference(superposition,[status(thm)],[c_503147,c_482113]) ).
tcf(c_586808,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(ext(X0,X1,X2,X3),X0),X1,X4)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(sK1,sK2,X0)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X1,sK0) ),
inference(superposition,[status(thm)],[c_503148,c_482113]) ).
tcf(c_586809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(ext(X0,X1,X2,X3),X0),X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(sK1,sK2,X4)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(X0,s(ext(X0,X1,X2,X3),X0),sK0) ),
inference(superposition,[status(thm)],[c_503149,c_482113]) ).
tcf(c_586810,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK2,sK3)
| ~ s_col(sK1,sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_586737,c_7182]) ).
tcf(c_586817,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_586736,c_7182,c_7182]) ).
tcf(c_586823,plain,
! [X0: $i] :
( s_col(sK0,sK3,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_586735,c_100,c_100]) ).
tcf(c_586829,plain,
! [X0: $i] :
( s_col(sK0,sK2,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_586734,c_100,c_100]) ).
tcf(c_586835,plain,
! [X0: $i] :
( s_col(sK3,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_586731,c_7182,c_100]) ).
tcf(c_586841,plain,
! [X0: $i] :
( s_col(sK2,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_586730,c_7182,c_100]) ).
tcf(c_586854,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK2,sK3)
| ~ s_col(sK1,sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_586723,c_100]) ).
tcf(c_586861,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_586722,c_7182,c_100]) ).
tcf(c_587869,plain,
! [X0: $i,X1: $i] : s_col(s(s(X0,X1),s(X1,s(X0,X1))),s(X0,X1),X0),
inference(superposition,[status(thm)],[c_161,c_579123]) ).
tcf(c_587871,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(s(X1,X0),X0)),X0,X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X0,sK0) ),
inference(superposition,[status(thm)],[c_579123,c_482113]) ).
tcf(c_587872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,X0)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X0,X2) ),
inference(superposition,[status(thm)],[c_579123,c_482112]) ).
tcf(c_587873,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(s(X1,X0),X0)),X0,X2)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X0,sK3) ),
inference(superposition,[status(thm)],[c_579123,c_482111]) ).
tcf(c_587874,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(s(X1,X0),X0)),X0,X2)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X0,sK2) ),
inference(superposition,[status(thm)],[c_579123,c_482110]) ).
tcf(c_587875,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X0,s(s(X1,X0),X0)) = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,s(X0,s(s(X1,X0),X0)))
| ~ s_col(s(X0,s(s(X1,X0),X0)),X0,X2) ),
inference(superposition,[status(thm)],[c_579123,c_482109]) ).
tcf(c_587876,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(s(X0,s(s(X1,X0),X0)),X0,X2) ),
inference(superposition,[status(thm)],[c_579123,c_481998]) ).
tcf(c_587878,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_r(s(X0,s(s(X1,X0),X0)),X0,X1) ),
inference(superposition,[status(thm)],[c_579123,c_187]) ).
tcf(c_587879,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,s(X0,s(s(X1,X0),X0)),X2)
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_r(X0,s(X0,s(s(X1,X0),X0)),X2) ),
inference(superposition,[status(thm)],[c_579123,c_181]) ).
tcf(c_587880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X1 = X2 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X1)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X0,X3)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X0,X2) ),
inference(superposition,[status(thm)],[c_579123,c_152]) ).
tcf(c_587881,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| ( X1 = X2 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(s(X0,s(s(X1,X0),X0)),X0,X3)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X0,X2) ),
inference(superposition,[status(thm)],[c_579123,c_151]) ).
tcf(c_587882,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(s(X1,X0),X0)),X1,X2)
| ( s(X0,s(s(X1,X0),X0)) = X1 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(s(X0,s(s(X1,X0),X0)),X0,X2) ),
inference(superposition,[status(thm)],[c_579123,c_148]) ).
tcf(c_587889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(s(X0,s(s(X1,X0),X0)),X0,X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X1 = X2 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_r(X1,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X0,X2) ),
inference(superposition,[status(thm)],[c_579123,c_200]) ).
tcf(c_587890,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(ip(X0,X1,X2,X3,X4),s(s(X1,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4))),ip(X0,X1,X2,X3,X4),X3)
| sameside(s(ip(X0,X1,X2,X3,X4),s(s(X1,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4))),ip(X0,X1,X2,X3,X4),X1)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(ip(X0,X1,X2,X3,X4),s(s(X1,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4))) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_579123,c_481625]) ).
tcf(c_587891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(s(ip(X0,X1,X2,X3,X4),s(s(X4,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4))),ip(X0,X1,X2,X3,X4),X4)
| sameside(s(ip(X0,X1,X2,X3,X4),s(s(X4,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4))),ip(X0,X1,X2,X3,X4),X0)
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(ip(X0,X1,X2,X3,X4),s(s(X4,ip(X0,X1,X2,X3,X4)),ip(X0,X1,X2,X3,X4))) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_579123,c_481626]) ).
tcf(c_587892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(X0,s(s(ext(X1,X0,X2,X3),X0),X0)),X0,X1)
| sameside(s(X0,s(s(ext(X1,X0,X2,X3),X0),X0)),X0,ext(X1,X0,X2,X3))
| ( X0 = X1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ( s(X0,s(s(ext(X1,X0,X2,X3),X0),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_579123,c_481634]) ).
tcf(c_587893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(crossbar(X0,X1,X2,X4,X5,X3),s(s(X3,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3))),crossbar(X0,X1,X2,X4,X5,X3),X3)
| sameside(s(crossbar(X0,X1,X2,X4,X5,X3),s(s(X3,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3))),crossbar(X0,X1,X2,X4,X5,X3),X2)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X3 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X2 )
| ( s(crossbar(X0,X1,X2,X4,X5,X3),s(s(X3,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3))) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_579123,c_481629]) ).
tcf(c_587894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(s(crossbar(X0,X1,X2,X4,X5,X3),s(s(X1,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3))),crossbar(X0,X1,X2,X4,X5,X3),X5)
| sameside(s(crossbar(X0,X1,X2,X4,X5,X3),s(s(X1,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3))),crossbar(X0,X1,X2,X4,X5,X3),X1)
| ( crossbar(X0,X1,X2,X4,X5,X3) = X5 )
| ( crossbar(X0,X1,X2,X4,X5,X3) = X1 )
| ( s(crossbar(X0,X1,X2,X4,X5,X3),s(s(X1,crossbar(X0,X1,X2,X4,X5,X3)),crossbar(X0,X1,X2,X4,X5,X3))) = crossbar(X0,X1,X2,X4,X5,X3) )
| ~ s_t(X4,X5,X2)
| ~ s_t(X0,X3,X4)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_579123,c_481630]) ).
tcf(c_588030,plain,
! [X0: $i,X1: $i] : s_col(X0,s(s(X0,X1),s(X1,s(X0,X1))),s(X0,X1)),
inference(superposition,[status(thm)],[c_161,c_579124]) ).
tcf(c_588032,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(s(X0,X1),X1)),X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X1,s(s(X0,X1),X1)) = X0 )
| ~ s_col(sK1,sK2,X2)
| ~ s_col(sK1,sK2,X1)
| ~ s_col(X0,s(X1,s(s(X0,X1),X1)),sK0) ),
inference(superposition,[status(thm)],[c_579124,c_482113]) ).
tcf(c_588033,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( s(X1,s(s(X0,X1),X1)) = X1 )
| ( s(X1,s(s(X0,X1),X1)) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,s(X1,s(s(X0,X1),X1)))
| ~ s_col(X0,s(X1,s(s(X0,X1),X1)),X2) ),
inference(superposition,[status(thm)],[c_579124,c_482112]) ).
tcf(c_588034,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(s(X0,X1),X1)),X2)
| ( sK0 = sK1 )
| ( X1 = sK3 )
| ( s(X1,s(s(X0,X1),X1)) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(X1,s(s(X0,X1),X1)),sK3) ),
inference(superposition,[status(thm)],[c_579124,c_482111]) ).
tcf(c_588035,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(s(X0,X1),X1)),X2)
| ( sK0 = sK1 )
| ( X1 = sK2 )
| ( s(X1,s(s(X0,X1),X1)) = X0 )
| ~ s_col(sK0,sK1,X2)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,s(X1,s(s(X0,X1),X1)),sK2) ),
inference(superposition,[status(thm)],[c_579124,c_482110]) ).
tcf(c_588036,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X3,X4,X2)
| ( X3 = X4 )
| ( X0 = X1 )
| ( s(X1,s(s(X0,X1),X1)) = X0 )
| ~ s_col(X3,X4,X1)
| ~ s_col(X3,X4,X0)
| ~ s_col(X0,s(X1,s(s(X0,X1),X1)),X2) ),
inference(superposition,[status(thm)],[c_579124,c_482109]) ).
tcf(c_588037,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X1,s(s(X0,X1),X1)),X1,X2)
| ( s(X1,s(s(X0,X1),X1)) = X1 )
| ( s(X1,s(s(X0,X1),X1)) = X0 )
| ~ s_col(X0,s(X1,s(s(X0,X1),X1)),X2) ),
inference(superposition,[status(thm)],[c_579124,c_481998]) ).
tcf(c_588039,plain,
! [X0: $i,X1: $i] :
( ( s(X1,s(s(X0,X1),X1)) = X1 )
| ( s(X1,s(s(X0,X1),X1)) = X0 )
| ~ s_r(X0,s(X1,s(s(X0,X1),X1)),X1) ),
inference(superposition,[status(thm)],[c_579124,c_187]) ).
tcf(c_588040,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X0,X1,X2)
| ( s(X0,s(s(X1,X0),X0)) = X1 )
| ~ s_r(s(X0,s(s(X1,X0),X0)),X1,X2) ),
inference(superposition,[status(thm)],[c_579124,c_181]) ).
tcf(c_588041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X5,X3)
| ( X4 = X5 )
| ( X1 = X2 )
| ( s(X1,s(s(X0,X1),X1)) = X0 )
| ~ s_col(X4,X5,X2)
| ~ s_col(X4,X5,X1)
| ~ s_col(X0,s(X1,s(s(X0,X1),X1)),X3)
| ~ s_col(X0,s(X1,s(s(X0,X1),X1)),X2) ),
inference(superposition,[status(thm)],[c_579124,c_152]) ).
tcf(c_588042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| ( X1 = X2 )
| ( s(X1,s(s(X0,X1),X1)) = X0 )
| ~ s_col(X0,s(X1,s(s(X0,X1),X1)),X3)
| ~ s_col(X0,s(X1,s(s(X0,X1),X1)),X2) ),
inference(superposition,[status(thm)],[c_579124,c_151]) ).
tcf(c_588043,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ( s(X1,s(s(X0,X1),X1)) = X0 )
| ~ s_col(X0,s(X1,s(s(X0,X1),X1)),X2) ),
inference(superposition,[status(thm)],[c_579124,c_148]) ).
tcf(c_588044,plain,
! [X0: $i,X1: $i] :
( sameside(X0,s(X1,s(s(X0,X1),X1)),X1)
| s_t(X0,s(X1,s(s(X0,X1),X1)),X1) ),
inference(superposition,[status(thm)],[c_579124,c_134]) ).
tcf(c_588050,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perpAt(X0,s(X1,s(s(X0,X1),X1)),X2,X3,X4)
| ( X3 = X4 )
| ( X2 = X5 )
| ( X1 = X2 )
| ( s(X1,s(s(X0,X1),X1)) = X0 )
| ~ s_r(X1,X2,X5)
| ~ s_col(X3,X4,X5)
| ~ s_col(X3,X4,X2)
| ~ s_col(X0,s(X1,s(s(X0,X1),X1)),X2) ),
inference(superposition,[status(thm)],[c_579124,c_200]) ).
tcf(c_588248,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK3 )
| ( X0 = sK0 )
| ( X0 = X1 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X0)
| ~ s_col(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_100,c_482114]) ).
tcf(c_588249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( f813(X0,X1,X2,X3,X4) = sK0 )
| ~ s_col(sK1,sK3,X5)
| ~ s_col(X0,X1,sK0)
| ~ perpAt(X0,X1,X4,X2,X3)
| ~ s_col(sK1,sK3,f813(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_195,c_482114]) ).
tcf(c_588250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X2,X3,X5)
| ( sK1 = sK3 )
| ( X2 = X3 )
| ( g813(X0,X1,X2,X3,X4) = sK0 )
| ~ s_col(sK1,sK3,X5)
| ~ s_col(X2,X3,sK0)
| ~ perpAt(X0,X1,X4,X2,X3)
| ~ s_col(sK1,sK3,g813(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_196,c_482114]) ).
tcf(c_588251,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK3,sK2)
| ~ s_col(sK0,sK1,sK0)
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_5023,c_482114]) ).
tcf(c_588252,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK3,sK3)
| ~ s_col(sK0,sK1,sK0)
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_5022,c_482114]) ).
tcf(c_588253,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| perpAt(X0,X1,X4,X2,X3)
| ( sK1 = sK3 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( f811(X0,X1,X2,X3,X4) = sK0 )
| ~ s_col(sK1,sK3,X5)
| ~ s_col(X0,X1,sK0)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(sK1,sK3,f811(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_256,c_482114]) ).
tcf(c_588254,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X2,X3,X5)
| perpAt(X0,X1,X4,X2,X3)
| ( sK1 = sK3 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( g811(X0,X1,X2,X3,X4) = sK0 )
| ~ s_col(sK1,sK3,X5)
| ~ s_col(X2,X3,sK0)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(sK1,sK3,g811(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_257,c_482114]) ).
tcf(c_588255,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X3,X4,X5)
| ( sK1 = sK3 )
| ( X3 = X4 )
| ( insert5(X0,X1,X2,X3,X4) = sK0 )
| ~ s_col(sK1,sK3,X5)
| ~ s_col(X3,X4,sK0)
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,X3,X4)
| ~ s_col(sK1,sK3,insert5(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480519,c_482114]) ).
tcf(c_588256,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( X0 = X1 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_7182,c_482114]) ).
tcf(c_588259,plain,
! [X0: $i] :
( s_col(sK2,sK0,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK0,sK0)
| ~ s_col(sK1,sK3,sK1)
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_480452,c_482114]) ).
tcf(c_588260,plain,
! [X0: $i] :
( s_col(sK3,sK0,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK0,sK0)
| ~ s_col(sK1,sK3,sK1)
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_480453,c_482114]) ).
tcf(c_588263,plain,
! [X0: $i] :
( s_col(sK0,sK2,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK3,sK1)
| ~ s_col(sK0,sK2,sK0)
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_480464,c_482114]) ).
tcf(c_588264,plain,
! [X0: $i] :
( s_col(sK0,sK3,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK3,sK1)
| ~ s_col(sK0,sK3,sK0)
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_480467,c_482114]) ).
tcf(c_588265,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK3,sK2)
| ~ s_col(sK1,sK0,sK0)
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_480476,c_482114]) ).
tcf(c_588266,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK3,sK3)
| ~ s_col(sK1,sK0,sK0)
| ~ s_col(sK1,sK3,X0) ),
inference(superposition,[status(thm)],[c_480477,c_482114]) ).
tcf(c_588267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = sK0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK1,sK3,ext(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_484594,c_482114]) ).
tcf(c_588268,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,X1,X2,X3),X1,X4)
| ( sK1 = sK3 )
| ( X0 = sK0 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(sK1,sK3,X0)
| ~ s_col(ext(X0,X1,X2,X3),X1,sK0) ),
inference(superposition,[status(thm)],[c_484605,c_482114]) ).
tcf(c_588269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,X1,X2,X3),X0,X4)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(ext(X0,X1,X2,X3),X0,sK0) ),
inference(superposition,[status(thm)],[c_484709,c_482114]) ).
tcf(c_588270,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X0,X1,X2,X3),X4)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(X0,ext(X0,X1,X2,X3),sK0) ),
inference(superposition,[status(thm)],[c_484720,c_482114]) ).
tcf(c_588271,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = sK0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK1,sK3,ext(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_484758,c_482114]) ).
tcf(c_588272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X1,X0,X2,X3),X4)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(X0,ext(X1,X0,X2,X3),sK0) ),
inference(superposition,[status(thm)],[c_484747,c_482114]) ).
tcf(c_588273,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,X1),X2)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( s(X0,X1) = X0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(X0,s(X0,X1),sK0) ),
inference(superposition,[status(thm)],[c_485946,c_482114]) ).
tcf(c_588274,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X1,X2)
| ( sK1 = sK3 )
| ( X0 = sK0 )
| ( s(X0,X1) = X1 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X0)
| ~ s_col(s(X0,X1),X1,sK0) ),
inference(superposition,[status(thm)],[c_485947,c_482114]) ).
tcf(c_588275,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( s(X0,X1) = sK0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK1,sK3,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_485948,c_482114]) ).
tcf(c_588276,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( s(X0,X1) = sK0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK1,sK3,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_486075,c_482114]) ).
tcf(c_588277,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X0,X2)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( s(X0,X1) = X0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(s(X0,X1),X0,sK0) ),
inference(superposition,[status(thm)],[c_486077,c_482114]) ).
tcf(c_588278,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,X0),X2)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( s(X1,X0) = X0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(X0,s(X1,X0),sK0) ),
inference(superposition,[status(thm)],[c_486076,c_482114]) ).
tcf(c_588279,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,s(X1,X0)),X2)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(X0,s(X0,s(X1,X0)),sK0) ),
inference(superposition,[status(thm)],[c_553531,c_482114]) ).
tcf(c_588280,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X1,X2)
| ( sK1 = sK3 )
| ( X0 = sK0 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X0)
| ~ s_col(s(X0,s(X1,X0)),X1,sK0) ),
inference(superposition,[status(thm)],[c_553532,c_482114]) ).
tcf(c_588281,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = sK0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK1,sK3,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_553533,c_482114]) ).
tcf(c_588282,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),s(s(X0,X1),X1),X2)
| ( sK1 = sK3 )
| ( X0 = sK0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X0)
| ~ s_col(s(X0,X1),s(s(X0,X1),X1),sK0) ),
inference(superposition,[status(thm)],[c_553989,c_482114]) ).
tcf(c_588283,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = sK0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK1,sK3,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_553998,c_482114]) ).
tcf(c_588284,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X0,X2)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(s(X0,s(X1,X0)),X0,sK0) ),
inference(superposition,[status(thm)],[c_553999,c_482114]) ).
tcf(c_588285,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(X0,X1)),X2)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(X0,s(X1,s(X0,X1)),sK0) ),
inference(superposition,[status(thm)],[c_554000,c_482114]) ).
tcf(c_588286,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X0,X2)
| ( sK1 = sK3 )
| ( s(X0,X1) = sK0 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,s(X0,X1))
| ~ s_col(s(s(X0,X1),X1),X0,sK0) ),
inference(superposition,[status(thm)],[c_554385,c_482114]) ).
tcf(c_588287,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,X1),X2)
| ( sK1 = sK3 )
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = sK0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(X0,s(X0,X1),sK0)
| ~ s_col(sK1,sK3,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_554534,c_482114]) ).
tcf(c_588288,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X0,X2)
| ( sK1 = sK3 )
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = sK0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(s(X0,X1),X0,sK0)
| ~ s_col(sK1,sK3,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_555168,c_482114]) ).
tcf(c_588289,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),s(X0,X1),X2)
| ( sK1 = sK3 )
| ( X0 = sK0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X0)
| ~ s_col(s(s(X0,X1),X1),s(X0,X1),sK0) ),
inference(superposition,[status(thm)],[c_555394,c_482114]) ).
tcf(c_588290,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X0,X1),X1),X2)
| ( sK1 = sK3 )
| ( s(X0,X1) = sK0 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,s(X0,X1))
| ~ s_col(X0,s(s(X0,X1),X1),sK0) ),
inference(superposition,[status(thm)],[c_555529,c_482114]) ).
tcf(c_588291,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(s(X1,X0),X0,X2,X3),X4)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( ext(s(X1,X0),X0,X2,X3) = X0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(X0,ext(s(X1,X0),X0,X2,X3),sK0) ),
inference(superposition,[status(thm)],[c_558031,c_482114]) ).
tcf(c_588292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(s(X0,X1),X1,X2,X3),X0,X4)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X0,sK0) ),
inference(superposition,[status(thm)],[c_558032,c_482114]) ).
tcf(c_588293,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = sK0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK1,sK3,ext(s(X0,X1),X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_558033,c_482114]) ).
tcf(c_588294,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,s(s(X1,X0),X0)),X2)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(X0,s(X0,s(s(X1,X0),X0)),sK0) ),
inference(superposition,[status(thm)],[c_571448,c_482114]) ).
tcf(c_588295,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(s(X1,X0),X0)),X1,X2)
| ( sK1 = sK3 )
| ( X0 = sK0 )
| ( s(X0,s(s(X1,X0),X0)) = X1 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X0)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X1,sK0) ),
inference(superposition,[status(thm)],[c_571449,c_482114]) ).
tcf(c_588296,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = sK0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK1,sK3,s(X0,s(s(X1,X0),X0))) ),
inference(superposition,[status(thm)],[c_571450,c_482114]) ).
tcf(c_588297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X4)
| ( sK1 = sK3 )
| ( X2 = X3 )
| ( X0 = sK0 )
| ( X0 = X1 )
| ( ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X1 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(sK1,sK3,X0)
| ~ s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,sK0) ),
inference(superposition,[status(thm)],[c_481511,c_482114]) ).
tcf(c_588298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X1,X5)
| ( sK1 = sK3 )
| ( X1 = X4 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = sK0 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_col(sK1,sK3,X5)
| ~ s_col(X4,X1,sK0)
| ~ sameside(X4,X1,X0)
| ~ s_col(sK1,sK3,ext(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_481736,c_482114]) ).
tcf(c_588299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = sK0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK1,sK3,ext(s(X0,X1),X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_576541,c_482114]) ).
tcf(c_588300,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(s(X0,X1),X1,X2,X3),X1,X4)
| ( sK1 = sK3 )
| ( X0 = sK0 )
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(sK1,sK3,X0)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X1,sK0) ),
inference(superposition,[status(thm)],[c_576542,c_482114]) ).
tcf(c_588301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(s(X0,X1),X1,X2,X3),X4)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(X0,ext(s(X0,X1),X1,X2,X3),sK0) ),
inference(superposition,[status(thm)],[c_576543,c_482114]) ).
tcf(c_588302,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = sK0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK1,sK3,s(X0,s(s(X1,X0),X0))) ),
inference(superposition,[status(thm)],[c_579122,c_482114]) ).
tcf(c_588303,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(s(X1,X0),X0)),X0,X2)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X0,sK0) ),
inference(superposition,[status(thm)],[c_579123,c_482114]) ).
tcf(c_588304,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(s(X0,X1),X1)),X2)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( s(X1,s(s(X0,X1),X1)) = X0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(X0,s(X1,s(s(X0,X1),X1)),sK0) ),
inference(superposition,[status(thm)],[c_579124,c_482114]) ).
tcf(c_588305,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X0,X1),X1),X2)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(X0,s(s(X0,X1),X1),sK0) ),
inference(superposition,[status(thm)],[c_517627,c_482114]) ).
tcf(c_588306,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X1,X2)
| ( sK1 = sK3 )
| ( X0 = sK0 )
| ( s(s(X0,X1),X1) = X1 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X0)
| ~ s_col(s(s(X0,X1),X1),X1,sK0) ),
inference(superposition,[status(thm)],[c_517628,c_482114]) ).
tcf(c_588307,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = sK0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK1,sK3,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_517629,c_482114]) ).
tcf(c_588308,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(X0,X1)),X2)
| ( sK1 = sK3 )
| ( s(X0,X1) = sK0 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,s(X0,X1))
| ~ s_col(X0,s(X1,s(X0,X1)),sK0) ),
inference(superposition,[status(thm)],[c_519188,c_482114]) ).
tcf(c_588309,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = sK0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK1,sK3,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_519197,c_482114]) ).
tcf(c_588310,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X0,X2)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(s(s(X0,X1),X1),X0,sK0) ),
inference(superposition,[status(thm)],[c_519198,c_482114]) ).
tcf(c_588311,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X1,X0),X0),X2)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( s(s(X1,X0),X0) = X0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(X0,s(s(X1,X0),X0),sK0) ),
inference(superposition,[status(thm)],[c_519199,c_482114]) ).
tcf(c_588312,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),s(X1,X0),X2)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( s(X0,s(X1,X0)) = s(X1,X0) )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(s(X0,s(X1,X0)),s(X1,X0),sK0) ),
inference(superposition,[status(thm)],[c_519474,c_482114]) ).
tcf(c_588313,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X1,X0),X1,X2)
| ( sK1 = sK3 )
| ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = sK0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(s(X1,X0),X1,sK0)
| ~ s_col(sK1,sK3,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_520000,c_482114]) ).
tcf(c_588314,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,s(X1,X0),X2)
| ( sK1 = sK3 )
| ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = sK0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(X1,s(X1,X0),sK0)
| ~ s_col(sK1,sK3,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_520925,c_482114]) ).
tcf(c_588315,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X1,X2)
| ( sK1 = sK3 )
| ( s(X1,X0) = sK0 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,s(X1,X0))
| ~ s_col(s(X0,s(X1,X0)),X1,sK0) ),
inference(superposition,[status(thm)],[c_521029,c_482114]) ).
tcf(c_588316,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),s(X1,s(X0,X1)),X2)
| ( sK1 = sK3 )
| ( X0 = sK0 )
| ( s(X1,s(X0,X1)) = s(X0,X1) )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X0)
| ~ s_col(s(X0,X1),s(X1,s(X0,X1)),sK0) ),
inference(superposition,[status(thm)],[c_522349,c_482114]) ).
tcf(c_588317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X1,s(X0,X1),X2,X3),X4)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( ext(X1,s(X0,X1),X2,X3) = X0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(X0,ext(X1,s(X0,X1),X2,X3),sK0) ),
inference(superposition,[status(thm)],[c_523153,c_482114]) ).
tcf(c_588318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,s(X1,X0),X2,X3),X0,X4)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X0,sK0) ),
inference(superposition,[status(thm)],[c_523154,c_482114]) ).
tcf(c_588319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = sK0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK1,sK3,ext(X0,s(X1,X0),X2,X3)) ),
inference(superposition,[status(thm)],[c_523155,c_482114]) ).
tcf(c_588320,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(s(X0,X1),X1),X1),X2)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(X0,s(s(s(X0,X1),X1),X1),sK0) ),
inference(superposition,[status(thm)],[c_529293,c_482114]) ).
tcf(c_588321,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(s(X0,X1),X1),X1),X1,X2)
| ( sK1 = sK3 )
| ( X0 = sK0 )
| ( s(s(s(X0,X1),X1),X1) = X1 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X0)
| ~ s_col(s(s(s(X0,X1),X1),X1),X1,sK0) ),
inference(superposition,[status(thm)],[c_529294,c_482114]) ).
tcf(c_588322,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = sK0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK1,sK3,s(s(s(X0,X1),X1),X1)) ),
inference(superposition,[status(thm)],[c_529295,c_482114]) ).
tcf(c_588323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = sK0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK1,sK3,ext(X0,s(X1,X0),X2,X3)) ),
inference(superposition,[status(thm)],[c_535610,c_482114]) ).
tcf(c_588324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,s(X1,X0),X2,X3),X1,X4)
| ( sK1 = sK3 )
| ( X0 = sK0 )
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(sK1,sK3,X0)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X1,sK0) ),
inference(superposition,[status(thm)],[c_535611,c_482114]) ).
tcf(c_588325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X0,s(X1,X0),X2,X3),X4)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(X0,ext(X0,s(X1,X0),X2,X3),sK0) ),
inference(superposition,[status(thm)],[c_535612,c_482114]) ).
tcf(c_588326,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = sK0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK1,sK3,s(s(s(X0,X1),X1),X1)) ),
inference(superposition,[status(thm)],[c_543639,c_482114]) ).
tcf(c_588327,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(s(X0,X1),X1),X1),X0,X2)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(s(s(s(X0,X1),X1),X1),X0,sK0) ),
inference(superposition,[status(thm)],[c_543640,c_482114]) ).
tcf(c_588328,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(s(X1,X0),X0),X0),X2)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( s(s(s(X1,X0),X0),X0) = X0 )
| ~ s_col(sK1,sK3,X2)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(X0,s(s(s(X1,X0),X0),X0),sK0) ),
inference(superposition,[status(thm)],[c_543641,c_482114]) ).
tcf(c_588329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(X0,ext(X0,X1,X2,X3)),X4)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(X0,s(X0,ext(X0,X1,X2,X3)),sK0) ),
inference(superposition,[status(thm)],[c_548056,c_482114]) ).
tcf(c_588330,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(X0,ext(X0,X1,X2,X3)),X1,X4)
| ( sK1 = sK3 )
| ( X0 = sK0 )
| ( s(X0,ext(X0,X1,X2,X3)) = X1 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(sK1,sK3,X0)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X1,sK0) ),
inference(superposition,[status(thm)],[c_548057,c_482114]) ).
tcf(c_588331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = sK0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK1,sK3,s(X0,ext(X0,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_548058,c_482114]) ).
tcf(c_588332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = sK0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK1,sK3,s(X0,ext(X0,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_548460,c_482114]) ).
tcf(c_588333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(X0,ext(X0,X1,X2,X3)),X0,X4)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X0,sK0) ),
inference(superposition,[status(thm)],[c_548461,c_482114]) ).
tcf(c_588334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(X1,ext(X1,X0,X2,X3)),X4)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( s(X1,ext(X1,X0,X2,X3)) = X0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(X0,s(X1,ext(X1,X0,X2,X3)),sK0) ),
inference(superposition,[status(thm)],[c_548462,c_482114]) ).
tcf(c_588335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(ext(X1,X0,X2,X3),X1),X4)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( s(ext(X1,X0,X2,X3),X1) = X0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(X0,s(ext(X1,X0,X2,X3),X1),sK0) ),
inference(superposition,[status(thm)],[c_499647,c_482114]) ).
tcf(c_588336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(ext(X0,X1,X2,X3),X0),X0,X4)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X0,sK0) ),
inference(superposition,[status(thm)],[c_499648,c_482114]) ).
tcf(c_588337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = sK0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK1,sK3,s(ext(X0,X1,X2,X3),X0)) ),
inference(superposition,[status(thm)],[c_499649,c_482114]) ).
tcf(c_588338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK1 = sK3 )
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = sK0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK1,sK3,s(ext(X0,X1,X2,X3),X0)) ),
inference(superposition,[status(thm)],[c_503147,c_482114]) ).
tcf(c_588339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(ext(X0,X1,X2,X3),X0),X1,X4)
| ( sK1 = sK3 )
| ( X0 = sK0 )
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(sK1,sK3,X0)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X1,sK0) ),
inference(superposition,[status(thm)],[c_503148,c_482114]) ).
tcf(c_588340,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(ext(X0,X1,X2,X3),X0),X4)
| ( sK1 = sK3 )
| ( X1 = sK0 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(sK1,sK3,X4)
| ~ s_col(sK1,sK3,X1)
| ~ s_col(X0,s(ext(X0,X1,X2,X3),X0),sK0) ),
inference(superposition,[status(thm)],[c_503149,c_482114]) ).
tcf(c_588341,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_588266,c_7182,c_7182]) ).
tcf(c_588347,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK3,sK2)
| ~ s_col(sK1,sK3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_588265,c_7182]) ).
tcf(c_588354,plain,
! [X0: $i] :
( s_col(sK0,sK3,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_588264,c_100,c_100]) ).
tcf(c_588360,plain,
! [X0: $i] :
( s_col(sK0,sK2,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_588263,c_100,c_100]) ).
tcf(c_588366,plain,
! [X0: $i] :
( s_col(sK3,sK0,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_588260,c_7182,c_100]) ).
tcf(c_588372,plain,
! [X0: $i] :
( s_col(sK2,sK0,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_588259,c_7182,c_100]) ).
tcf(c_588385,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_588252,c_7182,c_100]) ).
tcf(c_588391,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK1,sK3,sK2)
| ~ s_col(sK1,sK3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_588251,c_100]) ).
tcf(c_589501,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK2 )
| ( X0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X0)
| ~ s_col(X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_100,c_482115]) ).
tcf(c_589502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( f813(X0,X1,X2,X3,X4) = sK1 )
| ~ s_col(sK2,sK0,X5)
| ~ s_col(X0,X1,sK1)
| ~ perpAt(X0,X1,X4,X2,X3)
| ~ s_col(sK2,sK0,f813(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_195,c_482115]) ).
tcf(c_589503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X2,X3,X5)
| ( sK0 = sK2 )
| ( X2 = X3 )
| ( g813(X0,X1,X2,X3,X4) = sK1 )
| ~ s_col(sK2,sK0,X5)
| ~ s_col(X2,X3,sK1)
| ~ perpAt(X0,X1,X4,X2,X3)
| ~ s_col(sK2,sK0,g813(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_196,c_482115]) ).
tcf(c_589504,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK0,sK2)
| ~ s_col(sK0,sK1,sK1)
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_5023,c_482115]) ).
tcf(c_589505,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK0,sK3)
| ~ s_col(sK0,sK1,sK1)
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_5022,c_482115]) ).
tcf(c_589506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| perpAt(X0,X1,X4,X2,X3)
| ( sK0 = sK2 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( f811(X0,X1,X2,X3,X4) = sK1 )
| ~ s_col(sK2,sK0,X5)
| ~ s_col(X0,X1,sK1)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(sK2,sK0,f811(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_256,c_482115]) ).
tcf(c_589507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X2,X3,X5)
| perpAt(X0,X1,X4,X2,X3)
| ( sK0 = sK2 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( g811(X0,X1,X2,X3,X4) = sK1 )
| ~ s_col(sK2,sK0,X5)
| ~ s_col(X2,X3,sK1)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(sK2,sK0,g811(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_257,c_482115]) ).
tcf(c_589508,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X3,X4,X5)
| ( sK0 = sK2 )
| ( X3 = X4 )
| ( insert5(X0,X1,X2,X3,X4) = sK1 )
| ~ s_col(sK2,sK0,X5)
| ~ s_col(X3,X4,sK1)
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,X3,X4)
| ~ s_col(sK2,sK0,insert5(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480519,c_482115]) ).
tcf(c_589509,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_7182,c_482115]) ).
tcf(c_589510,plain,
! [X0: $i] :
( s_col(sK1,sK2,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK0,sK0)
| ~ s_col(sK1,sK2,sK1)
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_480443,c_482115]) ).
tcf(c_589511,plain,
! [X0: $i] :
( s_col(sK1,sK3,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK0,sK0)
| ~ s_col(sK1,sK3,sK1)
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_480444,c_482115]) ).
tcf(c_589514,plain,
! [X0: $i] :
( s_col(sK2,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK1,sK1)
| ~ s_col(sK2,sK0,sK0)
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_480461,c_482115]) ).
tcf(c_589515,plain,
! [X0: $i] :
( s_col(sK3,sK1,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK1,sK1)
| ~ s_col(sK2,sK0,sK0)
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_480462,c_482115]) ).
tcf(c_589518,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK0,sK2)
| ~ s_col(sK1,sK0,sK1)
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_480476,c_482115]) ).
tcf(c_589519,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK0,sK3)
| ~ s_col(sK1,sK0,sK1)
| ~ s_col(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_480477,c_482115]) ).
tcf(c_589520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = sK1 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(X0,X1,sK1)
| ~ s_col(sK2,sK0,ext(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_484594,c_482115]) ).
tcf(c_589521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,X1,X2,X3),X1,X4)
| ( sK0 = sK2 )
| ( X0 = sK1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(sK2,sK0,X0)
| ~ s_col(ext(X0,X1,X2,X3),X1,sK1) ),
inference(superposition,[status(thm)],[c_484605,c_482115]) ).
tcf(c_589522,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,X1,X2,X3),X0,X4)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(ext(X0,X1,X2,X3),X0,sK1) ),
inference(superposition,[status(thm)],[c_484709,c_482115]) ).
tcf(c_589523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X0,X1,X2,X3),X4)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(X0,ext(X0,X1,X2,X3),sK1) ),
inference(superposition,[status(thm)],[c_484720,c_482115]) ).
tcf(c_589524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = sK1 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(X1,X0,sK1)
| ~ s_col(sK2,sK0,ext(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_484758,c_482115]) ).
tcf(c_589525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X1,X0,X2,X3),X4)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(X0,ext(X1,X0,X2,X3),sK1) ),
inference(superposition,[status(thm)],[c_484747,c_482115]) ).
tcf(c_589526,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,X1),X2)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( s(X0,X1) = X0 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(X0,s(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_485946,c_482115]) ).
tcf(c_589527,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X1,X2)
| ( sK0 = sK2 )
| ( X0 = sK1 )
| ( s(X0,X1) = X1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X0)
| ~ s_col(s(X0,X1),X1,sK1) ),
inference(superposition,[status(thm)],[c_485947,c_482115]) ).
tcf(c_589528,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( s(X0,X1) = sK1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(X1,X0,sK1)
| ~ s_col(sK2,sK0,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_485948,c_482115]) ).
tcf(c_589529,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( s(X0,X1) = sK1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(X0,X1,sK1)
| ~ s_col(sK2,sK0,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_486075,c_482115]) ).
tcf(c_589530,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X0,X2)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( s(X0,X1) = X0 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(s(X0,X1),X0,sK1) ),
inference(superposition,[status(thm)],[c_486077,c_482115]) ).
tcf(c_589531,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,X0),X2)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( s(X1,X0) = X0 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(X0,s(X1,X0),sK1) ),
inference(superposition,[status(thm)],[c_486076,c_482115]) ).
tcf(c_589532,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,s(X1,X0)),X2)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(X0,s(X0,s(X1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_553531,c_482115]) ).
tcf(c_589533,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X1,X2)
| ( sK0 = sK2 )
| ( X0 = sK1 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X0)
| ~ s_col(s(X0,s(X1,X0)),X1,sK1) ),
inference(superposition,[status(thm)],[c_553532,c_482115]) ).
tcf(c_589534,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = sK1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(X1,X0,sK1)
| ~ s_col(sK2,sK0,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_553533,c_482115]) ).
tcf(c_589535,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),s(s(X0,X1),X1),X2)
| ( sK0 = sK2 )
| ( X0 = sK1 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X0)
| ~ s_col(s(X0,X1),s(s(X0,X1),X1),sK1) ),
inference(superposition,[status(thm)],[c_553989,c_482115]) ).
tcf(c_589536,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = sK1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(X0,X1,sK1)
| ~ s_col(sK2,sK0,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_553998,c_482115]) ).
tcf(c_589537,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X0,X2)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(s(X0,s(X1,X0)),X0,sK1) ),
inference(superposition,[status(thm)],[c_553999,c_482115]) ).
tcf(c_589538,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(X0,X1)),X2)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(X0,s(X1,s(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_554000,c_482115]) ).
tcf(c_589539,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X0,X2)
| ( sK0 = sK2 )
| ( s(X0,X1) = sK1 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,s(X0,X1))
| ~ s_col(s(s(X0,X1),X1),X0,sK1) ),
inference(superposition,[status(thm)],[c_554385,c_482115]) ).
tcf(c_589540,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,X1),X2)
| ( sK0 = sK2 )
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = sK1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(X0,s(X0,X1),sK1)
| ~ s_col(sK2,sK0,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_554534,c_482115]) ).
tcf(c_589541,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X0,X2)
| ( sK0 = sK2 )
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = sK1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(s(X0,X1),X0,sK1)
| ~ s_col(sK2,sK0,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_555168,c_482115]) ).
tcf(c_589542,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),s(X0,X1),X2)
| ( sK0 = sK2 )
| ( X0 = sK1 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X0)
| ~ s_col(s(s(X0,X1),X1),s(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_555394,c_482115]) ).
tcf(c_589543,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X0,X1),X1),X2)
| ( sK0 = sK2 )
| ( s(X0,X1) = sK1 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,s(X0,X1))
| ~ s_col(X0,s(s(X0,X1),X1),sK1) ),
inference(superposition,[status(thm)],[c_555529,c_482115]) ).
tcf(c_589544,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(s(X1,X0),X0,X2,X3),X4)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( ext(s(X1,X0),X0,X2,X3) = X0 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(X0,ext(s(X1,X0),X0,X2,X3),sK1) ),
inference(superposition,[status(thm)],[c_558031,c_482115]) ).
tcf(c_589545,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(s(X0,X1),X1,X2,X3),X0,X4)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X0,sK1) ),
inference(superposition,[status(thm)],[c_558032,c_482115]) ).
tcf(c_589546,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = sK1 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(X0,X1,sK1)
| ~ s_col(sK2,sK0,ext(s(X0,X1),X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_558033,c_482115]) ).
tcf(c_589547,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,s(s(X1,X0),X0)),X2)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(X0,s(X0,s(s(X1,X0),X0)),sK1) ),
inference(superposition,[status(thm)],[c_571448,c_482115]) ).
tcf(c_589548,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(s(X1,X0),X0)),X1,X2)
| ( sK0 = sK2 )
| ( X0 = sK1 )
| ( s(X0,s(s(X1,X0),X0)) = X1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X0)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X1,sK1) ),
inference(superposition,[status(thm)],[c_571449,c_482115]) ).
tcf(c_589549,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = sK1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(X1,X0,sK1)
| ~ s_col(sK2,sK0,s(X0,s(s(X1,X0),X0))) ),
inference(superposition,[status(thm)],[c_571450,c_482115]) ).
tcf(c_589550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X4)
| ( sK0 = sK2 )
| ( X2 = X3 )
| ( X0 = sK1 )
| ( X0 = X1 )
| ( ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X1 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(sK2,sK0,X0)
| ~ s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,sK1) ),
inference(superposition,[status(thm)],[c_481511,c_482115]) ).
tcf(c_589551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X1,X5)
| ( sK0 = sK2 )
| ( X1 = X4 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = sK1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_col(sK2,sK0,X5)
| ~ s_col(X4,X1,sK1)
| ~ sameside(X4,X1,X0)
| ~ s_col(sK2,sK0,ext(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_481736,c_482115]) ).
tcf(c_589552,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = sK1 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(X1,X0,sK1)
| ~ s_col(sK2,sK0,ext(s(X0,X1),X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_576541,c_482115]) ).
tcf(c_589553,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(s(X0,X1),X1,X2,X3),X1,X4)
| ( sK0 = sK2 )
| ( X0 = sK1 )
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(sK2,sK0,X0)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X1,sK1) ),
inference(superposition,[status(thm)],[c_576542,c_482115]) ).
tcf(c_589554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(s(X0,X1),X1,X2,X3),X4)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(X0,ext(s(X0,X1),X1,X2,X3),sK1) ),
inference(superposition,[status(thm)],[c_576543,c_482115]) ).
tcf(c_589555,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = sK1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(X0,X1,sK1)
| ~ s_col(sK2,sK0,s(X0,s(s(X1,X0),X0))) ),
inference(superposition,[status(thm)],[c_579122,c_482115]) ).
tcf(c_589556,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(s(X1,X0),X0)),X0,X2)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X0,sK1) ),
inference(superposition,[status(thm)],[c_579123,c_482115]) ).
tcf(c_589557,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(s(X0,X1),X1)),X2)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( s(X1,s(s(X0,X1),X1)) = X0 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(X0,s(X1,s(s(X0,X1),X1)),sK1) ),
inference(superposition,[status(thm)],[c_579124,c_482115]) ).
tcf(c_589558,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X0,X1),X1),X2)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(X0,s(s(X0,X1),X1),sK1) ),
inference(superposition,[status(thm)],[c_517627,c_482115]) ).
tcf(c_589559,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X1,X2)
| ( sK0 = sK2 )
| ( X0 = sK1 )
| ( s(s(X0,X1),X1) = X1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X0)
| ~ s_col(s(s(X0,X1),X1),X1,sK1) ),
inference(superposition,[status(thm)],[c_517628,c_482115]) ).
tcf(c_589560,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = sK1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(X1,X0,sK1)
| ~ s_col(sK2,sK0,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_517629,c_482115]) ).
tcf(c_589561,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(X0,X1)),X2)
| ( sK0 = sK2 )
| ( s(X0,X1) = sK1 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,s(X0,X1))
| ~ s_col(X0,s(X1,s(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_519188,c_482115]) ).
tcf(c_589562,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = sK1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(X0,X1,sK1)
| ~ s_col(sK2,sK0,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_519197,c_482115]) ).
tcf(c_589563,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X0,X2)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(s(s(X0,X1),X1),X0,sK1) ),
inference(superposition,[status(thm)],[c_519198,c_482115]) ).
tcf(c_589564,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X1,X0),X0),X2)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( s(s(X1,X0),X0) = X0 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(X0,s(s(X1,X0),X0),sK1) ),
inference(superposition,[status(thm)],[c_519199,c_482115]) ).
tcf(c_589565,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),s(X1,X0),X2)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( s(X0,s(X1,X0)) = s(X1,X0) )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(s(X0,s(X1,X0)),s(X1,X0),sK1) ),
inference(superposition,[status(thm)],[c_519474,c_482115]) ).
tcf(c_589566,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X1,X0),X1,X2)
| ( sK0 = sK2 )
| ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = sK1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(s(X1,X0),X1,sK1)
| ~ s_col(sK2,sK0,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_520000,c_482115]) ).
tcf(c_589567,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,s(X1,X0),X2)
| ( sK0 = sK2 )
| ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = sK1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(X1,s(X1,X0),sK1)
| ~ s_col(sK2,sK0,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_520925,c_482115]) ).
tcf(c_589568,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X1,X2)
| ( sK0 = sK2 )
| ( s(X1,X0) = sK1 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,s(X1,X0))
| ~ s_col(s(X0,s(X1,X0)),X1,sK1) ),
inference(superposition,[status(thm)],[c_521029,c_482115]) ).
tcf(c_589569,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),s(X1,s(X0,X1)),X2)
| ( sK0 = sK2 )
| ( X0 = sK1 )
| ( s(X1,s(X0,X1)) = s(X0,X1) )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X0)
| ~ s_col(s(X0,X1),s(X1,s(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_522349,c_482115]) ).
tcf(c_589570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X1,s(X0,X1),X2,X3),X4)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( ext(X1,s(X0,X1),X2,X3) = X0 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(X0,ext(X1,s(X0,X1),X2,X3),sK1) ),
inference(superposition,[status(thm)],[c_523153,c_482115]) ).
tcf(c_589571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,s(X1,X0),X2,X3),X0,X4)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X0,sK1) ),
inference(superposition,[status(thm)],[c_523154,c_482115]) ).
tcf(c_589572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = sK1 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(X0,X1,sK1)
| ~ s_col(sK2,sK0,ext(X0,s(X1,X0),X2,X3)) ),
inference(superposition,[status(thm)],[c_523155,c_482115]) ).
tcf(c_589573,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(s(X0,X1),X1),X1),X2)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(X0,s(s(s(X0,X1),X1),X1),sK1) ),
inference(superposition,[status(thm)],[c_529293,c_482115]) ).
tcf(c_589574,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(s(X0,X1),X1),X1),X1,X2)
| ( sK0 = sK2 )
| ( X0 = sK1 )
| ( s(s(s(X0,X1),X1),X1) = X1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X0)
| ~ s_col(s(s(s(X0,X1),X1),X1),X1,sK1) ),
inference(superposition,[status(thm)],[c_529294,c_482115]) ).
tcf(c_589575,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = sK1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(X1,X0,sK1)
| ~ s_col(sK2,sK0,s(s(s(X0,X1),X1),X1)) ),
inference(superposition,[status(thm)],[c_529295,c_482115]) ).
tcf(c_589576,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = sK1 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(X1,X0,sK1)
| ~ s_col(sK2,sK0,ext(X0,s(X1,X0),X2,X3)) ),
inference(superposition,[status(thm)],[c_535610,c_482115]) ).
tcf(c_589577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,s(X1,X0),X2,X3),X1,X4)
| ( sK0 = sK2 )
| ( X0 = sK1 )
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(sK2,sK0,X0)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X1,sK1) ),
inference(superposition,[status(thm)],[c_535611,c_482115]) ).
tcf(c_589578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X0,s(X1,X0),X2,X3),X4)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(X0,ext(X0,s(X1,X0),X2,X3),sK1) ),
inference(superposition,[status(thm)],[c_535612,c_482115]) ).
tcf(c_589579,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = sK1 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(X0,X1,sK1)
| ~ s_col(sK2,sK0,s(s(s(X0,X1),X1),X1)) ),
inference(superposition,[status(thm)],[c_543639,c_482115]) ).
tcf(c_589580,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(s(X0,X1),X1),X1),X0,X2)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(s(s(s(X0,X1),X1),X1),X0,sK1) ),
inference(superposition,[status(thm)],[c_543640,c_482115]) ).
tcf(c_589581,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(s(X1,X0),X0),X0),X2)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( s(s(s(X1,X0),X0),X0) = X0 )
| ~ s_col(sK2,sK0,X2)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(X0,s(s(s(X1,X0),X0),X0),sK1) ),
inference(superposition,[status(thm)],[c_543641,c_482115]) ).
tcf(c_589582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(X0,ext(X0,X1,X2,X3)),X4)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(X0,s(X0,ext(X0,X1,X2,X3)),sK1) ),
inference(superposition,[status(thm)],[c_548056,c_482115]) ).
tcf(c_589583,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(X0,ext(X0,X1,X2,X3)),X1,X4)
| ( sK0 = sK2 )
| ( X0 = sK1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X1 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(sK2,sK0,X0)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X1,sK1) ),
inference(superposition,[status(thm)],[c_548057,c_482115]) ).
tcf(c_589584,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = sK1 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(X1,X0,sK1)
| ~ s_col(sK2,sK0,s(X0,ext(X0,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_548058,c_482115]) ).
tcf(c_589585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = sK1 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(X0,X1,sK1)
| ~ s_col(sK2,sK0,s(X0,ext(X0,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_548460,c_482115]) ).
tcf(c_589586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(X0,ext(X0,X1,X2,X3)),X0,X4)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X0,sK1) ),
inference(superposition,[status(thm)],[c_548461,c_482115]) ).
tcf(c_589587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(X1,ext(X1,X0,X2,X3)),X4)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( s(X1,ext(X1,X0,X2,X3)) = X0 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(X0,s(X1,ext(X1,X0,X2,X3)),sK1) ),
inference(superposition,[status(thm)],[c_548462,c_482115]) ).
tcf(c_589588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(ext(X1,X0,X2,X3),X1),X4)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( s(ext(X1,X0,X2,X3),X1) = X0 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(X0,s(ext(X1,X0,X2,X3),X1),sK1) ),
inference(superposition,[status(thm)],[c_499647,c_482115]) ).
tcf(c_589589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(ext(X0,X1,X2,X3),X0),X0,X4)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X0,sK1) ),
inference(superposition,[status(thm)],[c_499648,c_482115]) ).
tcf(c_589590,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = sK1 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(X0,X1,sK1)
| ~ s_col(sK2,sK0,s(ext(X0,X1,X2,X3),X0)) ),
inference(superposition,[status(thm)],[c_499649,c_482115]) ).
tcf(c_589591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK0 = sK2 )
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = sK1 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(X1,X0,sK1)
| ~ s_col(sK2,sK0,s(ext(X0,X1,X2,X3),X0)) ),
inference(superposition,[status(thm)],[c_503147,c_482115]) ).
tcf(c_589592,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(ext(X0,X1,X2,X3),X0),X1,X4)
| ( sK0 = sK2 )
| ( X0 = sK1 )
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(sK2,sK0,X0)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X1,sK1) ),
inference(superposition,[status(thm)],[c_503148,c_482115]) ).
tcf(c_589593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(ext(X0,X1,X2,X3),X0),X4)
| ( sK0 = sK2 )
| ( X1 = sK1 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(sK2,sK0,X4)
| ~ s_col(sK2,sK0,X1)
| ~ s_col(X0,s(ext(X0,X1,X2,X3),X0),sK1) ),
inference(superposition,[status(thm)],[c_503149,c_482115]) ).
tcf(c_589594,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK0,sK3)
| ~ s_col(sK2,sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_589519,c_100]) ).
tcf(c_589601,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_589518,c_100,c_100]) ).
tcf(c_589607,plain,
! [X0: $i] :
( s_col(sK3,sK1,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_589515,c_7182,c_7182]) ).
tcf(c_589613,plain,
! [X0: $i] :
( s_col(sK2,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_589514,c_7182,c_7182]) ).
tcf(c_589619,plain,
! [X0: $i] :
( s_col(sK1,sK3,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_589511,c_7182,c_100]) ).
tcf(c_589625,plain,
! [X0: $i] :
( s_col(sK1,sK2,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_589510,c_7182,c_100]) ).
tcf(c_589638,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK3 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK0,sK3)
| ~ s_col(sK2,sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_589505,c_7182]) ).
tcf(c_589645,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_589504,c_100,c_7182]) ).
tcf(c_590480,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK3 )
| ( X0 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X0)
| ~ s_col(X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_100,c_482116]) ).
tcf(c_590481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( f813(X0,X1,X2,X3,X4) = sK1 )
| ~ s_col(sK3,sK0,X5)
| ~ s_col(X0,X1,sK1)
| ~ perpAt(X0,X1,X4,X2,X3)
| ~ s_col(sK3,sK0,f813(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_195,c_482116]) ).
tcf(c_590482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X2,X3,X5)
| ( sK0 = sK3 )
| ( X2 = X3 )
| ( g813(X0,X1,X2,X3,X4) = sK1 )
| ~ s_col(sK3,sK0,X5)
| ~ s_col(X2,X3,sK1)
| ~ perpAt(X0,X1,X4,X2,X3)
| ~ s_col(sK3,sK0,g813(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_196,c_482116]) ).
tcf(c_590483,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK0,sK2)
| ~ s_col(sK0,sK1,sK1)
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_5023,c_482116]) ).
tcf(c_590484,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK0,sK3)
| ~ s_col(sK0,sK1,sK1)
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_5022,c_482116]) ).
tcf(c_590485,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| perpAt(X0,X1,X4,X2,X3)
| ( sK0 = sK3 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( f811(X0,X1,X2,X3,X4) = sK1 )
| ~ s_col(sK3,sK0,X5)
| ~ s_col(X0,X1,sK1)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(sK3,sK0,f811(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_256,c_482116]) ).
tcf(c_590486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X2,X3,X5)
| perpAt(X0,X1,X4,X2,X3)
| ( sK0 = sK3 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( g811(X0,X1,X2,X3,X4) = sK1 )
| ~ s_col(sK3,sK0,X5)
| ~ s_col(X2,X3,sK1)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(sK3,sK0,g811(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_257,c_482116]) ).
tcf(c_590487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X3,X4,X5)
| ( sK0 = sK3 )
| ( X3 = X4 )
| ( insert5(X0,X1,X2,X3,X4) = sK1 )
| ~ s_col(sK3,sK0,X5)
| ~ s_col(X3,X4,sK1)
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,X3,X4)
| ~ s_col(sK3,sK0,insert5(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480519,c_482116]) ).
tcf(c_590488,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( X0 = X1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_7182,c_482116]) ).
tcf(c_590489,plain,
! [X0: $i] :
( s_col(sK1,sK2,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK0,sK0)
| ~ s_col(sK1,sK2,sK1)
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_480443,c_482116]) ).
tcf(c_590490,plain,
! [X0: $i] :
( s_col(sK1,sK3,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK0,sK0)
| ~ s_col(sK1,sK3,sK1)
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_480444,c_482116]) ).
tcf(c_590493,plain,
! [X0: $i] :
( s_col(sK2,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK0,sK0)
| ~ s_col(sK2,sK1,sK1)
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_480461,c_482116]) ).
tcf(c_590494,plain,
! [X0: $i] :
( s_col(sK3,sK1,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK1,sK1)
| ~ s_col(sK3,sK0,sK0)
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_480462,c_482116]) ).
tcf(c_590497,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK0,sK2)
| ~ s_col(sK1,sK0,sK1)
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_480476,c_482116]) ).
tcf(c_590498,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK0,sK3)
| ~ s_col(sK1,sK0,sK1)
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_480477,c_482116]) ).
tcf(c_590499,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = sK1 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(X0,X1,sK1)
| ~ s_col(sK3,sK0,ext(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_484594,c_482116]) ).
tcf(c_590500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,X1,X2,X3),X1,X4)
| ( sK0 = sK3 )
| ( X0 = sK1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(sK3,sK0,X0)
| ~ s_col(ext(X0,X1,X2,X3),X1,sK1) ),
inference(superposition,[status(thm)],[c_484605,c_482116]) ).
tcf(c_590501,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,X1,X2,X3),X0,X4)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(ext(X0,X1,X2,X3),X0,sK1) ),
inference(superposition,[status(thm)],[c_484709,c_482116]) ).
tcf(c_590502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X0,X1,X2,X3),X4)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(X0,ext(X0,X1,X2,X3),sK1) ),
inference(superposition,[status(thm)],[c_484720,c_482116]) ).
tcf(c_590503,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = sK1 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(X1,X0,sK1)
| ~ s_col(sK3,sK0,ext(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_484758,c_482116]) ).
tcf(c_590504,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X1,X0,X2,X3),X4)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(X0,ext(X1,X0,X2,X3),sK1) ),
inference(superposition,[status(thm)],[c_484747,c_482116]) ).
tcf(c_590505,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,X1),X2)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( s(X0,X1) = X0 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(X0,s(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_485946,c_482116]) ).
tcf(c_590506,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X1,X2)
| ( sK0 = sK3 )
| ( X0 = sK1 )
| ( s(X0,X1) = X1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X0)
| ~ s_col(s(X0,X1),X1,sK1) ),
inference(superposition,[status(thm)],[c_485947,c_482116]) ).
tcf(c_590507,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( s(X0,X1) = sK1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(X1,X0,sK1)
| ~ s_col(sK3,sK0,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_485948,c_482116]) ).
tcf(c_590508,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( s(X0,X1) = sK1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(X0,X1,sK1)
| ~ s_col(sK3,sK0,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_486075,c_482116]) ).
tcf(c_590509,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X0,X2)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( s(X0,X1) = X0 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(s(X0,X1),X0,sK1) ),
inference(superposition,[status(thm)],[c_486077,c_482116]) ).
tcf(c_590510,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,X0),X2)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( s(X1,X0) = X0 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(X0,s(X1,X0),sK1) ),
inference(superposition,[status(thm)],[c_486076,c_482116]) ).
tcf(c_590511,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,s(X1,X0)),X2)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(X0,s(X0,s(X1,X0)),sK1) ),
inference(superposition,[status(thm)],[c_553531,c_482116]) ).
tcf(c_590512,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X1,X2)
| ( sK0 = sK3 )
| ( X0 = sK1 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X0)
| ~ s_col(s(X0,s(X1,X0)),X1,sK1) ),
inference(superposition,[status(thm)],[c_553532,c_482116]) ).
tcf(c_590513,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = sK1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(X1,X0,sK1)
| ~ s_col(sK3,sK0,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_553533,c_482116]) ).
tcf(c_590514,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),s(s(X0,X1),X1),X2)
| ( sK0 = sK3 )
| ( X0 = sK1 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X0)
| ~ s_col(s(X0,X1),s(s(X0,X1),X1),sK1) ),
inference(superposition,[status(thm)],[c_553989,c_482116]) ).
tcf(c_590515,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = sK1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(X0,X1,sK1)
| ~ s_col(sK3,sK0,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_553998,c_482116]) ).
tcf(c_590516,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X0,X2)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(s(X0,s(X1,X0)),X0,sK1) ),
inference(superposition,[status(thm)],[c_553999,c_482116]) ).
tcf(c_590517,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(X0,X1)),X2)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(X0,s(X1,s(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_554000,c_482116]) ).
tcf(c_590518,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X0,X2)
| ( sK0 = sK3 )
| ( s(X0,X1) = sK1 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,s(X0,X1))
| ~ s_col(s(s(X0,X1),X1),X0,sK1) ),
inference(superposition,[status(thm)],[c_554385,c_482116]) ).
tcf(c_590519,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,X1),X2)
| ( sK0 = sK3 )
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = sK1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(X0,s(X0,X1),sK1)
| ~ s_col(sK3,sK0,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_554534,c_482116]) ).
tcf(c_590520,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X0,X2)
| ( sK0 = sK3 )
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = sK1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(s(X0,X1),X0,sK1)
| ~ s_col(sK3,sK0,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_555168,c_482116]) ).
tcf(c_590521,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),s(X0,X1),X2)
| ( sK0 = sK3 )
| ( X0 = sK1 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X0)
| ~ s_col(s(s(X0,X1),X1),s(X0,X1),sK1) ),
inference(superposition,[status(thm)],[c_555394,c_482116]) ).
tcf(c_590522,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X0,X1),X1),X2)
| ( sK0 = sK3 )
| ( s(X0,X1) = sK1 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,s(X0,X1))
| ~ s_col(X0,s(s(X0,X1),X1),sK1) ),
inference(superposition,[status(thm)],[c_555529,c_482116]) ).
tcf(c_590523,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(s(X1,X0),X0,X2,X3),X4)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( ext(s(X1,X0),X0,X2,X3) = X0 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(X0,ext(s(X1,X0),X0,X2,X3),sK1) ),
inference(superposition,[status(thm)],[c_558031,c_482116]) ).
tcf(c_590524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(s(X0,X1),X1,X2,X3),X0,X4)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X0,sK1) ),
inference(superposition,[status(thm)],[c_558032,c_482116]) ).
tcf(c_590525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = sK1 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(X0,X1,sK1)
| ~ s_col(sK3,sK0,ext(s(X0,X1),X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_558033,c_482116]) ).
tcf(c_590526,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,s(s(X1,X0),X0)),X2)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(X0,s(X0,s(s(X1,X0),X0)),sK1) ),
inference(superposition,[status(thm)],[c_571448,c_482116]) ).
tcf(c_590527,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(s(X1,X0),X0)),X1,X2)
| ( sK0 = sK3 )
| ( X0 = sK1 )
| ( s(X0,s(s(X1,X0),X0)) = X1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X0)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X1,sK1) ),
inference(superposition,[status(thm)],[c_571449,c_482116]) ).
tcf(c_590528,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = sK1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(X1,X0,sK1)
| ~ s_col(sK3,sK0,s(X0,s(s(X1,X0),X0))) ),
inference(superposition,[status(thm)],[c_571450,c_482116]) ).
tcf(c_590529,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X4)
| ( sK0 = sK3 )
| ( X2 = X3 )
| ( X0 = sK1 )
| ( X0 = X1 )
| ( ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X1 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(sK3,sK0,X0)
| ~ s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,sK1) ),
inference(superposition,[status(thm)],[c_481511,c_482116]) ).
tcf(c_590530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X1,X5)
| ( sK0 = sK3 )
| ( X1 = X4 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = sK1 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_col(sK3,sK0,X5)
| ~ s_col(X4,X1,sK1)
| ~ sameside(X4,X1,X0)
| ~ s_col(sK3,sK0,ext(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_481736,c_482116]) ).
tcf(c_590531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = sK1 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(X1,X0,sK1)
| ~ s_col(sK3,sK0,ext(s(X0,X1),X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_576541,c_482116]) ).
tcf(c_590532,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(s(X0,X1),X1,X2,X3),X1,X4)
| ( sK0 = sK3 )
| ( X0 = sK1 )
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(sK3,sK0,X0)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X1,sK1) ),
inference(superposition,[status(thm)],[c_576542,c_482116]) ).
tcf(c_590533,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(s(X0,X1),X1,X2,X3),X4)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(X0,ext(s(X0,X1),X1,X2,X3),sK1) ),
inference(superposition,[status(thm)],[c_576543,c_482116]) ).
tcf(c_590534,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = sK1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(X0,X1,sK1)
| ~ s_col(sK3,sK0,s(X0,s(s(X1,X0),X0))) ),
inference(superposition,[status(thm)],[c_579122,c_482116]) ).
tcf(c_590535,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(s(X1,X0),X0)),X0,X2)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X0,sK1) ),
inference(superposition,[status(thm)],[c_579123,c_482116]) ).
tcf(c_590536,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(s(X0,X1),X1)),X2)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( s(X1,s(s(X0,X1),X1)) = X0 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(X0,s(X1,s(s(X0,X1),X1)),sK1) ),
inference(superposition,[status(thm)],[c_579124,c_482116]) ).
tcf(c_590537,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X0,X1),X1),X2)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(X0,s(s(X0,X1),X1),sK1) ),
inference(superposition,[status(thm)],[c_517627,c_482116]) ).
tcf(c_590538,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X1,X2)
| ( sK0 = sK3 )
| ( X0 = sK1 )
| ( s(s(X0,X1),X1) = X1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X0)
| ~ s_col(s(s(X0,X1),X1),X1,sK1) ),
inference(superposition,[status(thm)],[c_517628,c_482116]) ).
tcf(c_590539,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = sK1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(X1,X0,sK1)
| ~ s_col(sK3,sK0,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_517629,c_482116]) ).
tcf(c_590540,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(X0,X1)),X2)
| ( sK0 = sK3 )
| ( s(X0,X1) = sK1 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,s(X0,X1))
| ~ s_col(X0,s(X1,s(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_519188,c_482116]) ).
tcf(c_590541,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = sK1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(X0,X1,sK1)
| ~ s_col(sK3,sK0,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_519197,c_482116]) ).
tcf(c_590542,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X0,X2)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(s(s(X0,X1),X1),X0,sK1) ),
inference(superposition,[status(thm)],[c_519198,c_482116]) ).
tcf(c_590543,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X1,X0),X0),X2)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( s(s(X1,X0),X0) = X0 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(X0,s(s(X1,X0),X0),sK1) ),
inference(superposition,[status(thm)],[c_519199,c_482116]) ).
tcf(c_590544,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),s(X1,X0),X2)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( s(X0,s(X1,X0)) = s(X1,X0) )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(s(X0,s(X1,X0)),s(X1,X0),sK1) ),
inference(superposition,[status(thm)],[c_519474,c_482116]) ).
tcf(c_590545,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X1,X0),X1,X2)
| ( sK0 = sK3 )
| ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = sK1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(s(X1,X0),X1,sK1)
| ~ s_col(sK3,sK0,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_520000,c_482116]) ).
tcf(c_590546,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,s(X1,X0),X2)
| ( sK0 = sK3 )
| ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = sK1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(X1,s(X1,X0),sK1)
| ~ s_col(sK3,sK0,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_520925,c_482116]) ).
tcf(c_590547,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X1,X2)
| ( sK0 = sK3 )
| ( s(X1,X0) = sK1 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,s(X1,X0))
| ~ s_col(s(X0,s(X1,X0)),X1,sK1) ),
inference(superposition,[status(thm)],[c_521029,c_482116]) ).
tcf(c_590548,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),s(X1,s(X0,X1)),X2)
| ( sK0 = sK3 )
| ( X0 = sK1 )
| ( s(X1,s(X0,X1)) = s(X0,X1) )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X0)
| ~ s_col(s(X0,X1),s(X1,s(X0,X1)),sK1) ),
inference(superposition,[status(thm)],[c_522349,c_482116]) ).
tcf(c_590549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X1,s(X0,X1),X2,X3),X4)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( ext(X1,s(X0,X1),X2,X3) = X0 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(X0,ext(X1,s(X0,X1),X2,X3),sK1) ),
inference(superposition,[status(thm)],[c_523153,c_482116]) ).
tcf(c_590550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,s(X1,X0),X2,X3),X0,X4)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X0,sK1) ),
inference(superposition,[status(thm)],[c_523154,c_482116]) ).
tcf(c_590551,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = sK1 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(X0,X1,sK1)
| ~ s_col(sK3,sK0,ext(X0,s(X1,X0),X2,X3)) ),
inference(superposition,[status(thm)],[c_523155,c_482116]) ).
tcf(c_590552,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(s(X0,X1),X1),X1),X2)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(X0,s(s(s(X0,X1),X1),X1),sK1) ),
inference(superposition,[status(thm)],[c_529293,c_482116]) ).
tcf(c_590553,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(s(X0,X1),X1),X1),X1,X2)
| ( sK0 = sK3 )
| ( X0 = sK1 )
| ( s(s(s(X0,X1),X1),X1) = X1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X0)
| ~ s_col(s(s(s(X0,X1),X1),X1),X1,sK1) ),
inference(superposition,[status(thm)],[c_529294,c_482116]) ).
tcf(c_590554,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = sK1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(X1,X0,sK1)
| ~ s_col(sK3,sK0,s(s(s(X0,X1),X1),X1)) ),
inference(superposition,[status(thm)],[c_529295,c_482116]) ).
tcf(c_590555,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = sK1 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(X1,X0,sK1)
| ~ s_col(sK3,sK0,ext(X0,s(X1,X0),X2,X3)) ),
inference(superposition,[status(thm)],[c_535610,c_482116]) ).
tcf(c_590556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,s(X1,X0),X2,X3),X1,X4)
| ( sK0 = sK3 )
| ( X0 = sK1 )
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(sK3,sK0,X0)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X1,sK1) ),
inference(superposition,[status(thm)],[c_535611,c_482116]) ).
tcf(c_590557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X0,s(X1,X0),X2,X3),X4)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(X0,ext(X0,s(X1,X0),X2,X3),sK1) ),
inference(superposition,[status(thm)],[c_535612,c_482116]) ).
tcf(c_590558,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = sK1 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(X0,X1,sK1)
| ~ s_col(sK3,sK0,s(s(s(X0,X1),X1),X1)) ),
inference(superposition,[status(thm)],[c_543639,c_482116]) ).
tcf(c_590559,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(s(X0,X1),X1),X1),X0,X2)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(s(s(s(X0,X1),X1),X1),X0,sK1) ),
inference(superposition,[status(thm)],[c_543640,c_482116]) ).
tcf(c_590560,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(s(X1,X0),X0),X0),X2)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( s(s(s(X1,X0),X0),X0) = X0 )
| ~ s_col(sK3,sK0,X2)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(X0,s(s(s(X1,X0),X0),X0),sK1) ),
inference(superposition,[status(thm)],[c_543641,c_482116]) ).
tcf(c_590561,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(X0,ext(X0,X1,X2,X3)),X4)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(X0,s(X0,ext(X0,X1,X2,X3)),sK1) ),
inference(superposition,[status(thm)],[c_548056,c_482116]) ).
tcf(c_590562,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(X0,ext(X0,X1,X2,X3)),X1,X4)
| ( sK0 = sK3 )
| ( X0 = sK1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X1 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(sK3,sK0,X0)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X1,sK1) ),
inference(superposition,[status(thm)],[c_548057,c_482116]) ).
tcf(c_590563,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = sK1 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(X1,X0,sK1)
| ~ s_col(sK3,sK0,s(X0,ext(X0,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_548058,c_482116]) ).
tcf(c_590564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = sK1 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(X0,X1,sK1)
| ~ s_col(sK3,sK0,s(X0,ext(X0,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_548460,c_482116]) ).
tcf(c_590565,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(X0,ext(X0,X1,X2,X3)),X0,X4)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X0,sK1) ),
inference(superposition,[status(thm)],[c_548461,c_482116]) ).
tcf(c_590566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(X1,ext(X1,X0,X2,X3)),X4)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( s(X1,ext(X1,X0,X2,X3)) = X0 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(X0,s(X1,ext(X1,X0,X2,X3)),sK1) ),
inference(superposition,[status(thm)],[c_548462,c_482116]) ).
tcf(c_590567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(ext(X1,X0,X2,X3),X1),X4)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( s(ext(X1,X0,X2,X3),X1) = X0 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(X0,s(ext(X1,X0,X2,X3),X1),sK1) ),
inference(superposition,[status(thm)],[c_499647,c_482116]) ).
tcf(c_590568,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(ext(X0,X1,X2,X3),X0),X0,X4)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X0,sK1) ),
inference(superposition,[status(thm)],[c_499648,c_482116]) ).
tcf(c_590569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = sK1 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(X0,X1,sK1)
| ~ s_col(sK3,sK0,s(ext(X0,X1,X2,X3),X0)) ),
inference(superposition,[status(thm)],[c_499649,c_482116]) ).
tcf(c_590570,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK0 = sK3 )
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = sK1 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(X1,X0,sK1)
| ~ s_col(sK3,sK0,s(ext(X0,X1,X2,X3),X0)) ),
inference(superposition,[status(thm)],[c_503147,c_482116]) ).
tcf(c_590571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(ext(X0,X1,X2,X3),X0),X1,X4)
| ( sK0 = sK3 )
| ( X0 = sK1 )
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(sK3,sK0,X0)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X1,sK1) ),
inference(superposition,[status(thm)],[c_503148,c_482116]) ).
tcf(c_590572,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(ext(X0,X1,X2,X3),X0),X4)
| ( sK0 = sK3 )
| ( X1 = sK1 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(sK3,sK0,X4)
| ~ s_col(sK3,sK0,X1)
| ~ s_col(X0,s(ext(X0,X1,X2,X3),X0),sK1) ),
inference(superposition,[status(thm)],[c_503149,c_482116]) ).
tcf(c_590573,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_590498,c_100,c_100]) ).
tcf(c_590579,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK0,sK2)
| ~ s_col(sK3,sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_590497,c_100]) ).
tcf(c_590586,plain,
! [X0: $i] :
( s_col(sK3,sK1,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_590494,c_7182,c_7182]) ).
tcf(c_590592,plain,
! [X0: $i] :
( s_col(sK2,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_590493,c_7182,c_7182]) ).
tcf(c_590598,plain,
! [X0: $i] :
( s_col(sK1,sK3,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_590490,c_7182,c_100]) ).
tcf(c_590604,plain,
! [X0: $i] :
( s_col(sK1,sK2,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_590489,c_7182,c_100]) ).
tcf(c_590617,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK3 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_590484,c_100,c_7182]) ).
tcf(c_590623,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK0,sK2)
| ~ s_col(sK3,sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_590483,c_7182]) ).
tcf(c_591624,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X2,X0,s(X0,X1))
| ~ s_t(X0,s(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_486093,c_507196]) ).
tcf(c_591625,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X2,s(X0,X1),X0)
| ~ s_t(X0,s(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_486093,c_507140]) ).
tcf(c_591626,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,ext(ext(X2,X2,alpha,gamma),X2,s(X0,X1),X0),X2)
| ~ s_t(X0,s(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_486093,c_480409]) ).
tcf(c_591627,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(s(X0,X1),X0,X2,X2)
| ~ s_t(X0,s(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_486093,c_480892]) ).
tcf(c_591628,plain,
! [X0: $i,X1: $i] :
( s_m(s(X0,X1),X0,s(X0,X1))
| ~ s_t(X0,s(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_486093,c_486468]) ).
tcf(c_591629,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,s(X0,X1))
| ~ s_t(X0,s(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_486093,c_480184]) ).
tcf(c_591630,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,s(X0,X1),X0)
| ~ s_t(X0,s(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_486093,c_480114]) ).
tcf(c_591632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(s(X0,X1),X0,X4,X3,X0,X2) = X0 )
| ~ s_t(X3,X0,X4)
| ~ s_t(X0,X4,X1)
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_486093,c_480316]) ).
tcf(c_591633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( crossbar(s(X0,X1),X0,X2,X3,X4,X2) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X2,X1)
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_486093,c_480254]) ).
tcf(c_591634,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0,X2) = X0 )
| ( ext(s(X0,X2),X0,X0,X1) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486093,c_480013]) ).
tcf(c_591635,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0,X2) = X0 )
| ( ext(s(X0,X2),X0,X1,X0) = X1 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486093,c_480011]) ).
tcf(c_591636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(s(X1,X2),X1,X3,X0,s(X1,X2)) = s(X1,X2) )
| ~ s_t(X1,X3,X2)
| ~ s_t(X0,s(X1,X2),X3) ),
inference(superposition,[status(thm)],[c_486093,c_479924]) ).
tcf(c_591637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ip(s(X0,X2),X0,X1,X0,X3) = X0 )
| ~ s_t(X0,X3,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486093,c_479914]) ).
tcf(c_591638,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X1,s(X0,X2),X0)
| ( s(X0,X2) = X1 )
| ( s(X0,X2) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486093,c_238]) ).
tcf(c_591639,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,s(X0,X2),X1)
| ( s(X0,X2) = xb )
| ( s(X0,X2) = X0 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486093,c_237]) ).
tcf(c_591640,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,s(X0,X2))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486093,c_225]) ).
tcf(c_591641,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,s(X0,X2),X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486093,c_224]) ).
tcf(c_591642,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X2),X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486093,c_223]) ).
tcf(c_591643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ s_r(X3,X2,X0)
| ~ s_t(X0,X3,X1)
| ~ s_r(s(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_486093,c_184]) ).
tcf(c_591644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,s(X0,X2),X1)
| s_t(s(X0,X2),X3,X1)
| ( X0 = X1 )
| ~ s_t(X3,X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486093,c_147]) ).
tcf(c_591645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X3,X0,s(X0,X2))
| ( X0 = X1 )
| ( s(X0,X2) = X0 )
| ~ sameside(X3,X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486093,c_145]) ).
tcf(c_591646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X0,X1,X3)
| sameside(X0,X1,s(X1,X2))
| ( X1 = X3 )
| ( X0 = X1 )
| ( s(X1,X2) = X1 )
| ~ s_t(X1,X3,X2)
| ~ s_col(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_486093,c_143]) ).
tcf(c_591647,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ s_t(X0,X2,X1)
| ~ sameside(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_486093,c_133]) ).
tcf(c_591648,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(s(X0,X2),X0,X3)
| ( X0 = X3 )
| ( X0 = X1 )
| ( s(X0,X2) = X0 )
| ~ s_t(X3,X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486093,c_131]) ).
tcf(c_591649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X0,X3)
| ( X0 = X3 )
| ( X0 = X2 )
| ( s(X0,X1) = X0 )
| ~ s_t(X0,X3,X1)
| ~ sameside(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_486093,c_125]) ).
tcf(c_591650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X0,X1),X2,X0)
| s_t(s(X0,X1),X0,X2)
| ~ s_t(X0,X3,X1)
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_486093,c_109]) ).
tcf(c_591651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X3,X2)
| s_t(X0,X2,X3)
| ( s(X0,X1) = X0 )
| ~ s_t(X0,X3,X1)
| ~ s_t(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_486093,c_108]) ).
tcf(c_591652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X0,X1),X3,X2)
| s_t(s(X0,X1),X2,X3)
| ( s(X0,X1) = X0 )
| ~ s_t(X0,X3,X1)
| ~ s_t(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_486093,c_107]) ).
tcf(c_591653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X0,X2),X0,X3)
| ( X0 = X1 )
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486093,c_81]) ).
tcf(c_591654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X0,X1),X0,X3)
| ~ s_t(X0,X2,X1)
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_486093,c_80]) ).
tcf(c_591655,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X0,X2),X3,X1)
| ~ s_t(X0,X3,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486093,c_79]) ).
tcf(c_591656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X0,X2),X1,X3)
| ( X0 = X1 )
| ~ s_t(X0,X1,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486093,c_78]) ).
tcf(c_591657,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X2,X3)
| ~ s_t(X0,X2,X1)
| ~ s_t(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_486093,c_77]) ).
tcf(c_591658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X0,X2),X0,X3)
| ~ s_t(X0,X3,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486093,c_76]) ).
tcf(c_591659,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0,X1) = X0 )
| ~ s_t(X0,X2,X1)
| ~ s_t(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_486093,c_75]) ).
tcf(c_591660,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X0,s(X0,X2))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_486093,c_73]) ).
tcf(c_591661,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X0,X1) = X0 )
| ~ s_t(X0,ext(X0,s(X0,X1),X2,X3),X1) ),
inference(superposition,[status(thm)],[c_486093,c_480090]) ).
tcf(c_591662,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X0 )
| ~ s_t(X0,s(s(X0,X1),X0),X1) ),
inference(superposition,[status(thm)],[c_486093,c_485965]) ).
tcf(c_591663,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0,X1) = X0 )
| ~ sameside(X0,s(X0,X1),X2)
| ~ s_t(X0,c63(X0,s(X0,X1),X2),X1) ),
inference(superposition,[status(thm)],[c_486093,c_481094]) ).
tcf(c_591664,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X0,X2) = X0 )
| ~ sameside(X1,s(X0,X2),X0)
| ~ s_t(X0,c63(X1,s(X0,X2),X0),X2) ),
inference(superposition,[status(thm)],[c_486093,c_481155]) ).
tcf(c_591665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(s(X0,X2),X0,X3,X4)
| ~ s_t(X0,ext(X1,s(X0,X2),X3,X4),X2) ),
inference(superposition,[status(thm)],[c_486093,c_480890]) ).
tcf(c_591666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,ext(ext(X4,X3,alpha,gamma),X3,s(X0,X2),X0),X4)
| ~ s_t(X0,ext(X1,s(X0,X2),X3,X4),X2) ),
inference(superposition,[status(thm)],[c_486093,c_480407]) ).
tcf(c_591667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,X0,ext(X1,s(X0,X2),X3,X4))
| ~ s_t(X0,ext(X1,s(X0,X2),X3,X4),X2) ),
inference(superposition,[status(thm)],[c_486093,c_480181]) ).
tcf(c_591668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,s(X0,X2),X0)
| ~ s_t(X0,ext(X1,s(X0,X2),X3,X4),X2) ),
inference(superposition,[status(thm)],[c_486093,c_480111]) ).
tcf(c_591669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,s(X0,X2),X0)
| ~ sameside(X1,s(X0,X2),X3)
| ~ s_t(X0,c63(X1,s(X0,X2),X3),X2) ),
inference(superposition,[status(thm)],[c_486093,c_481154]) ).
tcf(c_591670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X0,c63(X1,s(X0,X2),X3))
| ~ sameside(X1,s(X0,X2),X3)
| ~ s_t(X0,c63(X1,s(X0,X2),X3),X2) ),
inference(superposition,[status(thm)],[c_486093,c_481151]) ).
tcf(c_591671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,s(X0,X2),X0)
| ~ sameside(X1,s(X0,X2),X3)
| ~ s_t(X0,c63(X1,s(X0,X2),X3),X2) ),
inference(superposition,[status(thm)],[c_486093,c_481093]) ).
tcf(c_591672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X0,c63(X1,s(X0,X2),X3))
| ~ sameside(X1,s(X0,X2),X3)
| ~ s_t(X0,c63(X1,s(X0,X2),X3),X2) ),
inference(superposition,[status(thm)],[c_486093,c_481090]) ).
tcf(c_591673,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,s(X0,X1),X0)
| ~ s_t(X0,s(s(X0,X1),X2),X1) ),
inference(superposition,[status(thm)],[c_486093,c_485964]) ).
tcf(c_591675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,s(X0,X4),X0)
| ~ le(X3,s(X0,X4),X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,s(X0,X4)),X4) ),
inference(superposition,[status(thm)],[c_486093,c_480745]) ).
tcf(c_591676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,X0,ins(X1,X2,X3,s(X0,X4)))
| ~ le(X3,s(X0,X4),X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,s(X0,X4)),X4) ),
inference(superposition,[status(thm)],[c_486093,c_480742]) ).
tcf(c_591677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(X0,X3) = X0 )
| ~ le(X0,s(X0,X3),X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,s(X0,X3)),X3) ),
inference(superposition,[status(thm)],[c_486093,c_480746]) ).
tcf(c_591678,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ext(X1,s(X0,X2),s(X0,X2),X0) = X0 )
| ~ s_t(X0,ext(X1,s(X0,X2),s(X0,X2),X0),X2) ),
inference(superposition,[status(thm)],[c_486093,c_480982]) ).
tcf(c_591679,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ins(s(X0,X1),X0,s(X0,X1),X2) = X0 )
| ~ le(s(X0,X1),X2,s(X0,X1),X0)
| ~ s_t(X0,ins(s(X0,X1),X0,s(X0,X1),X2),X1) ),
inference(superposition,[status(thm)],[c_486093,c_480985]) ).
tcf(c_591680,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(s(X0,X3),X0,X1,X2)
| ~ le(s(X0,X3),X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,s(X0,X3),X4),X3) ),
inference(superposition,[status(thm)],[c_486093,c_480893]) ).
tcf(c_591681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,ext(ext(X2,X1,alpha,gamma),X1,s(X0,X3),X0),X2)
| ~ le(s(X0,X3),X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,s(X0,X3),X4),X3) ),
inference(superposition,[status(thm)],[c_486093,c_480791]) ).
tcf(c_591682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(X0,X3),X4,X0)
| s_t(s(X0,X3),X0,X4)
| ~ le(s(X0,X3),X4,X1,X2)
| ~ s_t(X0,ins(X1,X2,s(X0,X3),X4),X3) ),
inference(superposition,[status(thm)],[c_486093,c_480737]) ).
tcf(c_591683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(s(X0,X1),X2,X0)
| s_t(s(X0,X1),X0,X2)
| ~ s_t(X0,ext(s(X0,X1),X2,X3,X4),X1) ),
inference(superposition,[status(thm)],[c_486093,c_480701]) ).
tcf(c_591684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X0,X1),X2,X0)
| s_t(s(X0,X1),X0,X2)
| ~ sameside(s(X0,X1),X2,X3)
| ~ s_t(X0,c63(s(X0,X1),X2,X3),X1) ),
inference(superposition,[status(thm)],[c_486093,c_481085]) ).
tcf(c_591685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(X0,X3),X2,X0)
| s_t(s(X0,X3),X0,X2)
| ~ sameside(X1,X2,s(X0,X3))
| ~ s_t(X0,c63(X1,X2,s(X0,X3)),X3) ),
inference(superposition,[status(thm)],[c_486093,c_481146]) ).
tcf(c_591686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X1,s(X0,X4),ext(X1,X0,X2,X3))
| s_t(s(X0,X4),X1,ext(X1,X0,X2,X3))
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_486093,c_481802]) ).
tcf(c_591687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X1,X0,s(X0,X4))
| ( X0 = X1 )
| ( s(X0,X4) = X0 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_486093,c_481222]) ).
tcf(c_591688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( s(X0,X4) = X0 )
| ( ext(s(X0,X4),X0,X2,X3) = ext(X1,X0,X2,X3) )
| ~ s_t(X0,ext(X1,X0,X2,X3),X4) ),
inference(superposition,[status(thm)],[c_486093,c_480012]) ).
tcf(c_591689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X1,s(ip(X0,X1,X2,X3,X4),X5),X3)
| s_t(s(ip(X0,X1,X2,X3,X4),X5),X1,X3)
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_486093,c_481803]) ).
tcf(c_591690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X1,ip(X0,X1,X2,X3,X4),s(ip(X0,X1,X2,X3,X4),X5))
| ( ip(X0,X1,X2,X3,X4) = X3 )
| ( ip(X0,X1,X2,X3,X4) = X1 )
| ( s(ip(X0,X1,X2,X3,X4),X5) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X3,X5) ),
inference(superposition,[status(thm)],[c_486093,c_481223]) ).
tcf(c_591691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(X4,s(ip(X0,X1,X2,X3,X4),X5),X0)
| s_t(s(ip(X0,X1,X2,X3,X4),X5),X4,X0)
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_486093,c_481804]) ).
tcf(c_591692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( sameside(X4,ip(X0,X1,X2,X3,X4),s(ip(X0,X1,X2,X3,X4),X5))
| ( ip(X0,X1,X2,X3,X4) = X4 )
| ( ip(X0,X1,X2,X3,X4) = X0 )
| ( s(ip(X0,X1,X2,X3,X4),X5) = ip(X0,X1,X2,X3,X4) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X1,X2)
| ~ s_t(ip(X0,X1,X2,X3,X4),X0,X5) ),
inference(superposition,[status(thm)],[c_486093,c_481224]) ).
tcf(c_591693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(X3,s(X0,X4),ins(X1,X2,X3,X0))
| s_t(s(X0,X4),X3,ins(X1,X2,X3,X0))
| ( ins(X1,X2,X3,X0) = X0 )
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_486093,c_481809]) ).
tcf(c_591694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( sameside(X3,X0,s(X0,X4))
| ( X0 = X3 )
| ( s(X0,X4) = X0 )
| ( ins(X1,X2,X3,X0) = X0 )
| ~ le(X3,X0,X1,X2)
| ~ s_t(X0,ins(X1,X2,X3,X0),X4) ),
inference(superposition,[status(thm)],[c_486093,c_481229]) ).
tcf(c_591695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,s(X0,X3),c63(X1,X0,X2))
| s_t(s(X0,X3),X2,c63(X1,X0,X2))
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_486093,c_571066]) ).
tcf(c_591696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,s(X0,X3),c63(X1,X0,X2))
| s_t(s(X0,X3),X1,c63(X1,X0,X2))
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_486093,c_570690]) ).
tcf(c_591697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X2,X0,s(X0,X3))
| ( X0 = X2 )
| ( s(X0,X3) = X0 )
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_486093,c_543337]) ).
tcf(c_591698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X1,X0,s(X0,X3))
| ( X0 = X1 )
| ( s(X0,X3) = X0 )
| ~ sameside(X1,X0,X2)
| ~ s_t(X0,c63(X1,X0,X2),X3) ),
inference(superposition,[status(thm)],[c_486093,c_542847]) ).
tcf(c_591699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( s(X0,X4) = X0 )
| ( ext(s(X0,X4),X0,X1,X2) = ins(X1,X2,X0,X3) )
| ~ le(X0,X3,X1,X2)
| ~ s_t(X0,ins(X1,X2,X0,X3),X4) ),
inference(superposition,[status(thm)],[c_486093,c_480795]) ).
tcf(c_591700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X5,s(crossbar(X0,X1,X2,X3,X4,X5),X6),X2)
| s_t(s(crossbar(X0,X1,X2,X3,X4,X5),X6),X5,X2)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_486093,c_481807]) ).
tcf(c_591701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X5,crossbar(X0,X1,X2,X3,X4,X5),s(crossbar(X0,X1,X2,X3,X4,X5),X6))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X5 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X2 )
| ( s(crossbar(X0,X1,X2,X3,X4,X5),X6) = crossbar(X0,X1,X2,X3,X4,X5) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X2,X6) ),
inference(superposition,[status(thm)],[c_486093,c_481227]) ).
tcf(c_591702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X1,s(crossbar(X0,X1,X2,X3,X4,X5),X6),X4)
| s_t(s(crossbar(X0,X1,X2,X3,X4,X5),X6),X1,X4)
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_486093,c_481808]) ).
tcf(c_591703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( sameside(X1,crossbar(X0,X1,X2,X3,X4,X5),s(crossbar(X0,X1,X2,X3,X4,X5),X6))
| ( crossbar(X0,X1,X2,X3,X4,X5) = X4 )
| ( crossbar(X0,X1,X2,X3,X4,X5) = X1 )
| ( s(crossbar(X0,X1,X2,X3,X4,X5),X6) = crossbar(X0,X1,X2,X3,X4,X5) )
| ~ s_t(X3,X4,X2)
| ~ s_t(X0,X5,X3)
| ~ s_t(X0,X1,X2)
| ~ s_t(crossbar(X0,X1,X2,X3,X4,X5),X4,X6) ),
inference(superposition,[status(thm)],[c_486093,c_481228]) ).
tcf(c_592085,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(isomidpoint(X0,s(X2,X0),X1),X2,X0)
| ~ s_m(X0,X1,s(X2,X0)) ),
inference(superposition,[status(thm)],[c_15938,c_486808]) ).
tcf(c_592086,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(isomidpoint(X1,s(X0,X1),X2),X0,X1)
| ~ s_m(s(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_15943,c_486808]) ).
tcf(c_592087,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X2,X0,s(X0,X1))
| ~ s_m(s(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_161,c_486808]) ).
tcf(c_592088,plain,
! [X0: $i,X1: $i] :
( s_r(X1,X0,X0)
| ~ s_m(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_165,c_486808]) ).
tcf(c_592151,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( X0 = X1 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X0)
| ~ s_col(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_100,c_482117]) ).
tcf(c_592152,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( f813(X0,X1,X2,X3,X4) = sK0 )
| ~ s_col(sK2,sK1,X5)
| ~ s_col(X0,X1,sK0)
| ~ perpAt(X0,X1,X4,X2,X3)
| ~ s_col(sK2,sK1,f813(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_195,c_482117]) ).
tcf(c_592153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X2,X3,X5)
| ( sK1 = sK2 )
| ( X2 = X3 )
| ( g813(X0,X1,X2,X3,X4) = sK0 )
| ~ s_col(sK2,sK1,X5)
| ~ s_col(X2,X3,sK0)
| ~ perpAt(X0,X1,X4,X2,X3)
| ~ s_col(sK2,sK1,g813(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_196,c_482117]) ).
tcf(c_592154,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK1,sK2)
| ~ s_col(sK0,sK1,sK0)
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_5023,c_482117]) ).
tcf(c_592155,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK1,sK3)
| ~ s_col(sK0,sK1,sK0)
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_5022,c_482117]) ).
tcf(c_592156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X0,X1,X5)
| perpAt(X0,X1,X4,X2,X3)
| ( sK1 = sK2 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( f811(X0,X1,X2,X3,X4) = sK0 )
| ~ s_col(sK2,sK1,X5)
| ~ s_col(X0,X1,sK0)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(sK2,sK1,f811(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_256,c_482117]) ).
tcf(c_592157,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X2,X3,X5)
| perpAt(X0,X1,X4,X2,X3)
| ( sK1 = sK2 )
| ( X2 = X3 )
| ( X0 = X1 )
| ( g811(X0,X1,X2,X3,X4) = sK0 )
| ~ s_col(sK2,sK1,X5)
| ~ s_col(X2,X3,sK0)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(sK2,sK1,g811(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_257,c_482117]) ).
tcf(c_592158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X3,X4,X5)
| ( sK1 = sK2 )
| ( X3 = X4 )
| ( insert5(X0,X1,X2,X3,X4) = sK0 )
| ~ s_col(sK2,sK1,X5)
| ~ s_col(X3,X4,sK0)
| ~ s_col(X0,X1,X2)
| ~ s_e(X0,X1,X3,X4)
| ~ s_col(sK2,sK1,insert5(X0,X1,X2,X3,X4)) ),
inference(superposition,[status(thm)],[c_480519,c_482117]) ).
tcf(c_592159,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( X0 = X1 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_7182,c_482117]) ).
tcf(c_592162,plain,
! [X0: $i] :
( s_col(sK2,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK1,sK1)
| ~ s_col(sK2,sK0,sK0)
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_480452,c_482117]) ).
tcf(c_592163,plain,
! [X0: $i] :
( s_col(sK3,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK3,sK0,sK0)
| ~ s_col(sK2,sK1,sK1)
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_480453,c_482117]) ).
tcf(c_592166,plain,
! [X0: $i] :
( s_col(sK0,sK2,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK1,sK1)
| ~ s_col(sK0,sK2,sK0)
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_480464,c_482117]) ).
tcf(c_592167,plain,
! [X0: $i] :
( s_col(sK0,sK3,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK1,sK1)
| ~ s_col(sK0,sK3,sK0)
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_480467,c_482117]) ).
tcf(c_592168,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK1,sK2)
| ~ s_col(sK1,sK0,sK0)
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_480476,c_482117]) ).
tcf(c_592169,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK1,sK3)
| ~ s_col(sK1,sK0,sK0)
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_480477,c_482117]) ).
tcf(c_592170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = sK0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK2,sK1,ext(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_484594,c_482117]) ).
tcf(c_592171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,X1,X2,X3),X1,X4)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(sK2,sK1,X0)
| ~ s_col(ext(X0,X1,X2,X3),X1,sK0) ),
inference(superposition,[status(thm)],[c_484605,c_482117]) ).
tcf(c_592172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,X1,X2,X3),X0,X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(ext(X0,X1,X2,X3),X0,sK0) ),
inference(superposition,[status(thm)],[c_484709,c_482117]) ).
tcf(c_592173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X0,X1,X2,X3),X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( ext(X0,X1,X2,X3) = X0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(X0,ext(X0,X1,X2,X3),sK0) ),
inference(superposition,[status(thm)],[c_484720,c_482117]) ).
tcf(c_592174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = sK0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK2,sK1,ext(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_484758,c_482117]) ).
tcf(c_592175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X1,X0,X2,X3),X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( ext(X1,X0,X2,X3) = X0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(X0,ext(X1,X0,X2,X3),sK0) ),
inference(superposition,[status(thm)],[c_484747,c_482117]) ).
tcf(c_592176,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,X1),X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X0,X1) = X0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(X0,s(X0,X1),sK0) ),
inference(superposition,[status(thm)],[c_485946,c_482117]) ).
tcf(c_592177,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X1,X2)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( s(X0,X1) = X1 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X0)
| ~ s_col(s(X0,X1),X1,sK0) ),
inference(superposition,[status(thm)],[c_485947,c_482117]) ).
tcf(c_592178,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(X0,X1) = sK0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK2,sK1,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_485948,c_482117]) ).
tcf(c_592179,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(X0,X1) = sK0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK2,sK1,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_486075,c_482117]) ).
tcf(c_592180,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X0,X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X0,X1) = X0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(s(X0,X1),X0,sK0) ),
inference(superposition,[status(thm)],[c_486077,c_482117]) ).
tcf(c_592181,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,X0),X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X1,X0) = X0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(X0,s(X1,X0),sK0) ),
inference(superposition,[status(thm)],[c_486076,c_482117]) ).
tcf(c_592182,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,s(X1,X0)),X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(X0,s(X0,s(X1,X0)),sK0) ),
inference(superposition,[status(thm)],[c_553531,c_482117]) ).
tcf(c_592183,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X1,X2)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X0)
| ~ s_col(s(X0,s(X1,X0)),X1,sK0) ),
inference(superposition,[status(thm)],[c_553532,c_482117]) ).
tcf(c_592184,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = sK0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK2,sK1,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_553533,c_482117]) ).
tcf(c_592185,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),s(s(X0,X1),X1),X2)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X0)
| ~ s_col(s(X0,X1),s(s(X0,X1),X1),sK0) ),
inference(superposition,[status(thm)],[c_553989,c_482117]) ).
tcf(c_592186,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(X0,s(X1,X0)) = sK0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK2,sK1,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_553998,c_482117]) ).
tcf(c_592187,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X0,X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X0,s(X1,X0)) = X0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(s(X0,s(X1,X0)),X0,sK0) ),
inference(superposition,[status(thm)],[c_553999,c_482117]) ).
tcf(c_592188,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(X0,X1)),X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(X0,s(X1,s(X0,X1)),sK0) ),
inference(superposition,[status(thm)],[c_554000,c_482117]) ).
tcf(c_592189,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X0,X2)
| ( sK1 = sK2 )
| ( s(X0,X1) = sK0 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,s(X0,X1))
| ~ s_col(s(s(X0,X1),X1),X0,sK0) ),
inference(superposition,[status(thm)],[c_554385,c_482117]) ).
tcf(c_592190,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,X1),X2)
| ( sK1 = sK2 )
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = sK0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(X0,s(X0,X1),sK0)
| ~ s_col(sK2,sK1,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_554534,c_482117]) ).
tcf(c_592191,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),X0,X2)
| ( sK1 = sK2 )
| ( s(X0,X1) = X0 )
| ( s(s(X0,X1),X1) = sK0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(s(X0,X1),X0,sK0)
| ~ s_col(sK2,sK1,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_555168,c_482117]) ).
tcf(c_592192,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),s(X0,X1),X2)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( s(s(X0,X1),X1) = s(X0,X1) )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X0)
| ~ s_col(s(s(X0,X1),X1),s(X0,X1),sK0) ),
inference(superposition,[status(thm)],[c_555394,c_482117]) ).
tcf(c_592193,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X0,X1),X1),X2)
| ( sK1 = sK2 )
| ( s(X0,X1) = sK0 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,s(X0,X1))
| ~ s_col(X0,s(s(X0,X1),X1),sK0) ),
inference(superposition,[status(thm)],[c_555529,c_482117]) ).
tcf(c_592194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(s(X1,X0),X0,X2,X3),X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( ext(s(X1,X0),X0,X2,X3) = X0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(X0,ext(s(X1,X0),X0,X2,X3),sK0) ),
inference(superposition,[status(thm)],[c_558031,c_482117]) ).
tcf(c_592195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(s(X0,X1),X1,X2,X3),X0,X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X0,sK0) ),
inference(superposition,[status(thm)],[c_558032,c_482117]) ).
tcf(c_592196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = sK0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK2,sK1,ext(s(X0,X1),X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_558033,c_482117]) ).
tcf(c_592197,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X0,s(s(X1,X0),X0)),X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(X0,s(X0,s(s(X1,X0),X0)),sK0) ),
inference(superposition,[status(thm)],[c_571448,c_482117]) ).
tcf(c_592198,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(s(X1,X0),X0)),X1,X2)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( s(X0,s(s(X1,X0),X0)) = X1 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X0)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X1,sK0) ),
inference(superposition,[status(thm)],[c_571449,c_482117]) ).
tcf(c_592199,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = sK0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK2,sK1,s(X0,s(s(X1,X0),X0))) ),
inference(superposition,[status(thm)],[c_571450,c_482117]) ).
tcf(c_592200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X4)
| ( sK1 = sK2 )
| ( X2 = X3 )
| ( X0 = sK0 )
| ( X0 = X1 )
| ( ext(ext(X0,X1,alpha,gamma),X1,X2,X3) = X1 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(sK2,sK1,X0)
| ~ s_col(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,sK0) ),
inference(superposition,[status(thm)],[c_481511,c_482117]) ).
tcf(c_592201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_col(X4,X1,X5)
| ( sK1 = sK2 )
| ( X1 = X4 )
| ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = sK0 )
| ( ext(X0,X1,X2,X3) = X1 )
| ~ s_col(sK2,sK1,X5)
| ~ s_col(X4,X1,sK0)
| ~ sameside(X4,X1,X0)
| ~ s_col(sK2,sK1,ext(X0,X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_481736,c_482117]) ).
tcf(c_592202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( ext(s(X0,X1),X1,X2,X3) = sK0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK2,sK1,ext(s(X0,X1),X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_576541,c_482117]) ).
tcf(c_592203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(s(X0,X1),X1,X2,X3),X1,X4)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( ext(s(X0,X1),X1,X2,X3) = X1 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(sK2,sK1,X0)
| ~ s_col(ext(s(X0,X1),X1,X2,X3),X1,sK0) ),
inference(superposition,[status(thm)],[c_576542,c_482117]) ).
tcf(c_592204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(s(X0,X1),X1,X2,X3),X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( ext(s(X0,X1),X1,X2,X3) = X0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(X0,ext(s(X0,X1),X1,X2,X3),sK0) ),
inference(superposition,[status(thm)],[c_576543,c_482117]) ).
tcf(c_592205,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(X0,s(s(X1,X0),X0)) = sK0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK2,sK1,s(X0,s(s(X1,X0),X0))) ),
inference(superposition,[status(thm)],[c_579122,c_482117]) ).
tcf(c_592206,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(s(X1,X0),X0)),X0,X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X0,s(s(X1,X0),X0)) = X0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(s(X0,s(s(X1,X0),X0)),X0,sK0) ),
inference(superposition,[status(thm)],[c_579123,c_482117]) ).
tcf(c_592207,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(s(X0,X1),X1)),X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X1,s(s(X0,X1),X1)) = X0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(X0,s(X1,s(s(X0,X1),X1)),sK0) ),
inference(superposition,[status(thm)],[c_579124,c_482117]) ).
tcf(c_592208,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X0,X1),X1),X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(X0,s(s(X0,X1),X1),sK0) ),
inference(superposition,[status(thm)],[c_517627,c_482117]) ).
tcf(c_592209,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X1,X2)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( s(s(X0,X1),X1) = X1 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X0)
| ~ s_col(s(s(X0,X1),X1),X1,sK0) ),
inference(superposition,[status(thm)],[c_517628,c_482117]) ).
tcf(c_592210,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = sK0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK2,sK1,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_517629,c_482117]) ).
tcf(c_592211,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(X1,s(X0,X1)),X2)
| ( sK1 = sK2 )
| ( s(X0,X1) = sK0 )
| ( s(X1,s(X0,X1)) = X0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,s(X0,X1))
| ~ s_col(X0,s(X1,s(X0,X1)),sK0) ),
inference(superposition,[status(thm)],[c_519188,c_482117]) ).
tcf(c_592212,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(s(X0,X1),X1) = sK0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK2,sK1,s(s(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_519197,c_482117]) ).
tcf(c_592213,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(X0,X1),X1),X0,X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(s(X0,X1),X1) = X0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(s(s(X0,X1),X1),X0,sK0) ),
inference(superposition,[status(thm)],[c_519198,c_482117]) ).
tcf(c_592214,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(X1,X0),X0),X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(s(X1,X0),X0) = X0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(X0,s(s(X1,X0),X0),sK0) ),
inference(superposition,[status(thm)],[c_519199,c_482117]) ).
tcf(c_592215,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),s(X1,X0),X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X0,s(X1,X0)) = s(X1,X0) )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(s(X0,s(X1,X0)),s(X1,X0),sK0) ),
inference(superposition,[status(thm)],[c_519474,c_482117]) ).
tcf(c_592216,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X1,X0),X1,X2)
| ( sK1 = sK2 )
| ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = sK0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(s(X1,X0),X1,sK0)
| ~ s_col(sK2,sK1,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_520000,c_482117]) ).
tcf(c_592217,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,s(X1,X0),X2)
| ( sK1 = sK2 )
| ( s(X1,X0) = X1 )
| ( s(X0,s(X1,X0)) = sK0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(X1,s(X1,X0),sK0)
| ~ s_col(sK2,sK1,s(X0,s(X1,X0))) ),
inference(superposition,[status(thm)],[c_520925,c_482117]) ).
tcf(c_592218,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,s(X1,X0)),X1,X2)
| ( sK1 = sK2 )
| ( s(X1,X0) = sK0 )
| ( s(X0,s(X1,X0)) = X1 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,s(X1,X0))
| ~ s_col(s(X0,s(X1,X0)),X1,sK0) ),
inference(superposition,[status(thm)],[c_521029,c_482117]) ).
tcf(c_592219,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(X0,X1),s(X1,s(X0,X1)),X2)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( s(X1,s(X0,X1)) = s(X0,X1) )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X0)
| ~ s_col(s(X0,X1),s(X1,s(X0,X1)),sK0) ),
inference(superposition,[status(thm)],[c_522349,c_482117]) ).
tcf(c_592220,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X1,s(X0,X1),X2,X3),X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( ext(X1,s(X0,X1),X2,X3) = X0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(X0,ext(X1,s(X0,X1),X2,X3),sK0) ),
inference(superposition,[status(thm)],[c_523153,c_482117]) ).
tcf(c_592221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,s(X1,X0),X2,X3),X0,X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X0,sK0) ),
inference(superposition,[status(thm)],[c_523154,c_482117]) ).
tcf(c_592222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = sK0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK2,sK1,ext(X0,s(X1,X0),X2,X3)) ),
inference(superposition,[status(thm)],[c_523155,c_482117]) ).
tcf(c_592223,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(s(X0,X1),X1),X1),X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(X0,s(s(s(X0,X1),X1),X1),sK0) ),
inference(superposition,[status(thm)],[c_529293,c_482117]) ).
tcf(c_592224,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(s(X0,X1),X1),X1),X1,X2)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( s(s(s(X0,X1),X1),X1) = X1 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X0)
| ~ s_col(s(s(s(X0,X1),X1),X1),X1,sK0) ),
inference(superposition,[status(thm)],[c_529294,c_482117]) ).
tcf(c_592225,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = sK0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK2,sK1,s(s(s(X0,X1),X1),X1)) ),
inference(superposition,[status(thm)],[c_529295,c_482117]) ).
tcf(c_592226,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( ext(X0,s(X1,X0),X2,X3) = sK0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK2,sK1,ext(X0,s(X1,X0),X2,X3)) ),
inference(superposition,[status(thm)],[c_535610,c_482117]) ).
tcf(c_592227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(ext(X0,s(X1,X0),X2,X3),X1,X4)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( ext(X0,s(X1,X0),X2,X3) = X1 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(sK2,sK1,X0)
| ~ s_col(ext(X0,s(X1,X0),X2,X3),X1,sK0) ),
inference(superposition,[status(thm)],[c_535611,c_482117]) ).
tcf(c_592228,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,ext(X0,s(X1,X0),X2,X3),X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( ext(X0,s(X1,X0),X2,X3) = X0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(X0,ext(X0,s(X1,X0),X2,X3),sK0) ),
inference(superposition,[status(thm)],[c_535612,c_482117]) ).
tcf(c_592229,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(s(s(X0,X1),X1),X1) = sK0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK2,sK1,s(s(s(X0,X1),X1),X1)) ),
inference(superposition,[status(thm)],[c_543639,c_482117]) ).
tcf(c_592230,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(s(s(s(X0,X1),X1),X1),X0,X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(s(s(X0,X1),X1),X1) = X0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(s(s(s(X0,X1),X1),X1),X0,sK0) ),
inference(superposition,[status(thm)],[c_543640,c_482117]) ).
tcf(c_592231,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,s(s(s(X1,X0),X0),X0),X2)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(s(s(X1,X0),X0),X0) = X0 )
| ~ s_col(sK2,sK1,X2)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(X0,s(s(s(X1,X0),X0),X0),sK0) ),
inference(superposition,[status(thm)],[c_543641,c_482117]) ).
tcf(c_592232,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(X0,ext(X0,X1,X2,X3)),X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(X0,s(X0,ext(X0,X1,X2,X3)),sK0) ),
inference(superposition,[status(thm)],[c_548056,c_482117]) ).
tcf(c_592233,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(X0,ext(X0,X1,X2,X3)),X1,X4)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( s(X0,ext(X0,X1,X2,X3)) = X1 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(sK2,sK1,X0)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X1,sK0) ),
inference(superposition,[status(thm)],[c_548057,c_482117]) ).
tcf(c_592234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = sK0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK2,sK1,s(X0,ext(X0,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_548058,c_482117]) ).
tcf(c_592235,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(X0,ext(X0,X1,X2,X3)) = sK0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK2,sK1,s(X0,ext(X0,X1,X2,X3))) ),
inference(superposition,[status(thm)],[c_548460,c_482117]) ).
tcf(c_592236,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(X0,ext(X0,X1,X2,X3)),X0,X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X0,ext(X0,X1,X2,X3)) = X0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(s(X0,ext(X0,X1,X2,X3)),X0,sK0) ),
inference(superposition,[status(thm)],[c_548461,c_482117]) ).
tcf(c_592237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(X1,ext(X1,X0,X2,X3)),X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(X1,ext(X1,X0,X2,X3)) = X0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(X0,s(X1,ext(X1,X0,X2,X3)),sK0) ),
inference(superposition,[status(thm)],[c_548462,c_482117]) ).
tcf(c_592238,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(ext(X1,X0,X2,X3),X1),X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(ext(X1,X0,X2,X3),X1) = X0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(X0,s(ext(X1,X0,X2,X3),X1),sK0) ),
inference(superposition,[status(thm)],[c_499647,c_482117]) ).
tcf(c_592239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(ext(X0,X1,X2,X3),X0),X0,X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X0,sK0) ),
inference(superposition,[status(thm)],[c_499648,c_482117]) ).
tcf(c_592240,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = sK0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(X0,X1,sK0)
| ~ s_col(sK2,sK1,s(ext(X0,X1,X2,X3),X0)) ),
inference(superposition,[status(thm)],[c_499649,c_482117]) ).
tcf(c_592241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X1,X0,X4)
| ( sK1 = sK2 )
| ( X0 = X1 )
| ( s(ext(X0,X1,X2,X3),X0) = sK0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(X1,X0,sK0)
| ~ s_col(sK2,sK1,s(ext(X0,X1,X2,X3),X0)) ),
inference(superposition,[status(thm)],[c_503147,c_482117]) ).
tcf(c_592242,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(s(ext(X0,X1,X2,X3),X0),X1,X4)
| ( sK1 = sK2 )
| ( X0 = sK0 )
| ( s(ext(X0,X1,X2,X3),X0) = X1 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(sK2,sK1,X0)
| ~ s_col(s(ext(X0,X1,X2,X3),X0),X1,sK0) ),
inference(superposition,[status(thm)],[c_503148,c_482117]) ).
tcf(c_592243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,s(ext(X0,X1,X2,X3),X0),X4)
| ( sK1 = sK2 )
| ( X1 = sK0 )
| ( s(ext(X0,X1,X2,X3),X0) = X0 )
| ~ s_col(sK2,sK1,X4)
| ~ s_col(sK2,sK1,X1)
| ~ s_col(X0,s(ext(X0,X1,X2,X3),X0),sK0) ),
inference(superposition,[status(thm)],[c_503149,c_482117]) ).
tcf(c_592244,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK1,sK3)
| ~ s_col(sK2,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_592169,c_7182]) ).
tcf(c_592251,plain,
! [X0: $i] :
( s_col(sK1,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_592168,c_100,c_7182]) ).
tcf(c_592257,plain,
! [X0: $i] :
( s_col(sK0,sK3,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_592167,c_7182,c_100]) ).
tcf(c_592263,plain,
! [X0: $i] :
( s_col(sK0,sK2,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_592166,c_7182,c_100]) ).
tcf(c_592269,plain,
! [X0: $i] :
( s_col(sK3,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_592163,c_7182,c_7182]) ).
tcf(c_592275,plain,
! [X0: $i] :
( s_col(sK2,sK0,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_592162,c_7182,c_7182]) ).
tcf(c_592288,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK3 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK1,sK3)
| ~ s_col(sK2,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_592155,c_100]) ).
tcf(c_592295,plain,
! [X0: $i] :
( s_col(sK0,sK1,X0)
| ( sK1 = sK2 )
| ( sK0 = sK2 )
| ( sK0 = sK1 )
| ~ s_col(sK2,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_592154,c_100,c_100]) ).
tcf(c_593669,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_592295,c_592288,c_592275,c_592263,c_592251,c_592244,c_592243,c_592242,c_592241,c_592240,c_592239,c_592238,c_592237,c_592236,c_592235,c_592234,c_592233,c_592232,c_592231,c_592230,c_592229,c_592228,c_592227,c_592226,c_592225,c_592224,c_592223,c_592222,c_592221,c_592220,c_592219,c_592218,c_592217,c_592216,c_592215,c_592214,c_592213,c_592212,c_592211,c_592210,c_592209,c_592208,c_592207,c_592206,c_592205,c_592204,c_592203,c_592202,c_592201,c_592200,c_592199,c_592198,c_592197,c_592196,c_592195,c_592194,c_592193,c_592192,c_592191,c_592190,c_592189,c_592188,c_592187,c_592186,c_592185,c_592184,c_592183,c_592182,c_592181,c_592180,c_592179,c_592178,c_592177,c_592176,c_592175,c_592174,c_592173,c_592172,c_592171,c_592170,c_592169,c_592168,c_592167,c_592166,c_592163,c_592162,c_592159,c_592158,c_592157,c_592156,c_592155,c_592154,c_592153,c_592152,c_592151,c_592088,c_591703,c_591702,c_591701,c_591700,c_591699,c_591698,c_591697,c_591696,c_591695,c_591694,c_591693,c_591692,c_591691,c_591690,c_591689,c_591688,c_591687,c_591686,c_591685,c_591684,c_591683,c_591682,c_591681,c_591680,c_591679,c_591678,c_591677,c_591676,c_591675,c_591672,c_591671,c_591670,c_591669,c_591667,c_591666,c_591665,c_591664,c_591663,c_591637,c_591636,c_591635,c_591634,c_591633,c_591632,c_591626,c_590623,c_590617,c_590604,c_590598,c_590592,c_590586,c_590579,c_590573,c_590572,c_590571,c_590570,c_590569,c_590568,c_590567,c_590566,c_590565,c_590564,c_590563,c_590562,c_590561,c_590560,c_590559,c_590558,c_590557,c_590556,c_590555,c_590554,c_590553,c_590552,c_590551,c_590550,c_590549,c_590548,c_590547,c_590546,c_590545,c_590544,c_590543,c_590542,c_590541,c_590540,c_590539,c_590538,c_590537,c_590536,c_590535,c_590534,c_590533,c_590532,c_590531,c_590530,c_590529,c_590528,c_590527,c_590526,c_590525,c_590524,c_590523,c_590522,c_590521,c_590520,c_590519,c_590518,c_590517,c_590516,c_590515,c_590514,c_590513,c_590512,c_590511,c_590510,c_590509,c_590508,c_590507,c_590506,c_590505,c_590504,c_590503,c_590502,c_590501,c_590500,c_590499,c_590498,c_590497,c_590494,c_590493,c_590490,c_590489,c_590488,c_590487,c_590486,c_590485,c_590484,c_590483,c_590482,c_590481,c_590480,c_589645,c_589638,c_589625,c_589613,c_589607,c_589601,c_589594,c_589593,c_589592,c_589591,c_589590,c_589589,c_589588,c_589587,c_589586,c_589585,c_589584,c_589583,c_589582,c_589581,c_589580,c_589579,c_589578,c_589577,c_589576,c_589575,c_589574,c_589573,c_589572,c_589571,c_589570,c_589569,c_589568,c_589567,c_589566,c_589565,c_589564,c_589563,c_589562,c_589561,c_589560,c_589559,c_589558,c_589557,c_589556,c_589555,c_589554,c_589553,c_589552,c_589551,c_589550,c_589549,c_589548,c_589547,c_589546,c_589545,c_589544,c_589543,c_589542,c_589541,c_589540,c_589539,c_589538,c_589537,c_589536,c_589535,c_589534,c_589533,c_589532,c_589531,c_589530,c_589529,c_589528,c_589527,c_589526,c_589525,c_589524,c_589523,c_589522,c_589521,c_589520,c_589519,c_589518,c_589515,c_589514,c_589511,c_589510,c_589509,c_589508,c_589507,c_589506,c_589505,c_589504,c_589503,c_589502,c_589501,c_588391,c_588385,c_588372,c_588366,c_588354,c_588347,c_588341,c_588340,c_588339,c_588338,c_588337,c_588336,c_588335,c_588334,c_588333,c_588332,c_588331,c_588330,c_588329,c_588328,c_588327,c_588326,c_588325,c_588324,c_588323,c_588322,c_588321,c_588320,c_588319,c_588318,c_588317,c_588316,c_588315,c_588314,c_588313,c_588312,c_588311,c_588310,c_588309,c_588308,c_588307,c_588306,c_588305,c_588304,c_588303,c_588302,c_588301,c_588300,c_588299,c_588298,c_588297,c_588296,c_588295,c_588294,c_588293,c_588292,c_588291,c_588290,c_588289,c_588288,c_588287,c_588286,c_588285,c_588284,c_588283,c_588282,c_588281,c_588280,c_588279,c_588278,c_588277,c_588276,c_588275,c_588274,c_588273,c_588272,c_588271,c_588270,c_588269,c_588268,c_588267,c_588266,c_588265,c_588264,c_588263,c_588260,c_588259,c_588256,c_588255,c_588254,c_588253,c_588252,c_588251,c_588250,c_588249,c_588248,c_588037,c_588036,c_588033,c_588032,c_587894,c_587893,c_587892,c_587891,c_587890,c_587876,c_587875,c_587872,c_587871,c_586861,c_586854,c_586841,c_586835,c_586829,c_586817,c_586810,c_586809,c_586808,c_586807,c_586806,c_586805,c_586804,c_586803,c_586802,c_586801,c_586800,c_586799,c_586798,c_586797,c_586796,c_586795,c_586794,c_586793,c_586792,c_586791,c_586790,c_586789,c_586788,c_586787,c_586786,c_586785,c_586784,c_586783,c_586782,c_586781,c_586780,c_586779,c_586778,c_586777,c_586776,c_586775,c_586774,c_586773,c_586772,c_586771,c_586770,c_586769,c_586768,c_586767,c_586766,c_586765,c_586764,c_586763,c_586762,c_586761,c_586760,c_586759,c_586758,c_586757,c_586756,c_586755,c_586754,c_586753,c_586752,c_586751,c_586750,c_586749,c_586748,c_586747,c_586746,c_586745,c_586744,c_586743,c_586742,c_586741,c_586740,c_586739,c_586738,c_586737,c_586736,c_586735,c_586734,c_586731,c_586730,c_586727,c_586726,c_586725,c_586724,c_586723,c_586722,c_586721,c_586720,c_586719,c_585682,c_585681,c_585680,c_585679,c_585678,c_585677,c_585676,c_585675,c_585674,c_585673,c_585672,c_585671,c_585670,c_585669,c_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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO507+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/10.39 % Computer : n004.cluster.edu
% 0.13/10.39 % Model : x86_64 x86_64
% 0.13/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/10.39 % Memory : 8046.5625MB
% 0.13/10.39 % OS : Linux 6.8.0-71-generic
% 0.13/10.39 % CPULimit : 300
% 0.13/10.39 % WCLimit : 300
% 0.13/10.39 % DateTime : Wed Sep 23 12:15:03 UTC 2026
% 0.13/10.39 % CPUTime :
% 0.13/10.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/10.43 Running first-order theorem proving
% 0.16/10.43 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/10.44
% 0.16/10.44 % ======== iProver multi-core TPTP/SMT =========
% 0.16/10.44
% 0.16/10.44 % Detected problem language: tptp
% 0.16/10.45 % Proving...
% 134.37/42.14 % SZS status Started for theBenchmark.p
% 134.37/42.14 % SZS status Theorem for theBenchmark.p
% 134.37/42.14
% 134.37/42.14 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 134.37/42.14
% 134.37/42.14 % ------ iProver source info
% 134.37/42.14
% 134.37/42.14 % git: date: 2026-07-19 20:42:38 +0200
% 134.37/42.14 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 134.37/42.14 % git: non_committed_changes: false
% 134.37/42.14
% 134.37/42.14 % ------ Parsing...
% 134.37/42.14 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 134.37/42.14
% 134.37/42.14 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 134.37/42.14
% 134.37/42.14 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 134.37/42.14
% 134.37/42.14 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 134.37/42.14 % ------ Proving...
% 134.37/42.14 % ------ Problem Properties
% 134.37/42.14
% 134.37/42.14 %
% 134.37/42.14 % clauses 168
% 134.37/42.14 % conjectures 3
% 134.37/42.14 % EPR 121
% 134.37/42.14 % Horn 133
% 134.37/42.14 % unary 31
% 134.37/42.14 % binary 64
% 134.37/42.14 % lits 477
% 134.37/42.14 % lits eq 86
% 134.37/42.14 % fd_pure 0
% 134.37/42.14 % fd_pseudo 0
% 134.37/42.14 % fd_cond 0
% 134.37/42.14 % fd_pseudo_cond 47
% 134.37/42.14 % AC symbols 0
% 134.37/42.14
% 134.37/42.14 % ------ Schedule dynamic 5 is on
% 134.37/42.14
% 134.37/42.14 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 134.37/42.14
% 134.37/42.14
% 134.37/42.14 % ------
% 134.37/42.14 % Current options:
% 134.37/42.14 % ------
% 134.37/42.14
% 134.37/42.14
% 134.37/42.14 %
% 134.37/42.14
% 134.37/42.14 % ------ Proving...
% 134.37/42.14 % Proof_search_loop: time out after: 3889 full_loop iterations
% 134.37/42.14
% 134.37/42.14 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 134.37/42.14
% 134.37/42.14
% 134.37/42.14 % ------
% 134.37/42.14 % Current options:
% 134.37/42.14 % ------
% 134.37/42.14
% 134.37/42.14
% 134.37/42.14 %
% 134.37/42.14
% 134.37/42.14 % ------ Proving...
% 134.37/42.14 % Proof_search_loop: time out after: 4639 full_loop iterations
% 134.37/42.14
% 134.37/42.14 % ------ Option_1: Negative Selections Time Limit: 35.
% 134.37/42.14
% 134.37/42.14
% 134.37/42.14 % ------
% 134.37/42.14 % Current options:
% 134.37/42.14 % ------
% 134.37/42.14
% 134.37/42.14
% 134.37/42.14 %
% 134.37/42.14
% 134.37/42.14 % ------ Proving...
% 134.37/42.14 %
% 134.37/42.14
% 134.37/42.14 % SZS status Theorem for theBenchmark.p
% 134.37/42.14
% 134.37/42.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 236.06/42.44
% 236.06/42.44
%------------------------------------------------------------------------------