%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO511+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n016.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 01:21:21 PM UTC 2026
% Result : Theorem 27.36s 15.99s
% Output : CNFRefutation 36.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 149
% Syntax : Number of formulae : 5216 ( 608 unt; 2 def)
% Number of atoms : 17810 (3604 equ)
% Maximal formula atoms : 30 ( 3 avg)
% Number of connectives : 17701 (7052 ~;10576 |; 73 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 3 prp; 0-8 aty)
% Number of functors : 32 ( 32 usr; 10 con; 0-6 aty)
% Number of variables : 11982 ( 0 sgn11976 !; 6 ?;10580 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : s_e(X0,X1,X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO011+0.ax',aA5) ).
fof(f6,axiom,
! [X0,X1] :
( X0 = X1
| ~ s_t(X0,X1,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO011+0.ax',aA8) ).
fof(f9,axiom,
! [X0,X1] : s_e(X0,X1,X0,X1),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',aSatz2_5) ).
fof(f14,axiom,
! [X0,X1] : s_e(X0,X0,X1,X1),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',aSatz2_12) ).
fof(f17,axiom,
! [X0,X1,X2] :
( X0 = X1
| ~ s_e(X0,X1,X2,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',aSatz2_15) ).
fof(f20,axiom,
! [X0,X1] : s_t(X0,X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_1) ).
fof(f21,axiom,
! [X0,X1,X2] :
( s_t(X2,X1,X0)
| ~ s_t(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_2) ).
fof(f22,axiom,
! [X0,X1] : s_t(X0,X0,X1),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',aSatz3_7b) ).
fof(f30,axiom,
alpha != beta,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_13a) ).
fof(f31,axiom,
beta != gamma,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_13b) ).
fof(f32,axiom,
alpha != gamma,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz3_13c) ).
fof(f34,axiom,
! [X0,X1] : X0 != ext(X1,X0,alpha,gamma),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',aSatz4_6) ).
fof(f40,axiom,
! [X0,X1,X2] :
( s_col(X1,X2,X0)
| ~ s_col(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_11a) ).
fof(f41,axiom,
! [X0,X1,X2] :
( s_col(X2,X0,X1)
| ~ s_col(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_11b) ).
fof(f42,axiom,
! [X0,X1,X2] :
( s_col(X2,X1,X0)
| ~ s_col(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_11c) ).
fof(f43,axiom,
! [X0,X1,X2] :
( s_col(X1,X0,X2)
| ~ s_col(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_11d) ).
fof(f44,axiom,
! [X0,X1,X2] :
( s_col(X0,X2,X1)
| ~ s_col(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_11e) ).
fof(f45,axiom,
! [X0,X1] : s_col(X0,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_12) ).
fof(f46,axiom,
! [X0,X1] : s_col(X0,X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',aSatz5_6) ).
fof(f59,axiom,
! [X0,X1] : le(X0,X1,X0,X1),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',aSatz5_10) ).
fof(f63,axiom,
! [X0,X1,X2] : le(X0,X0,X1,X2),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',aSatz6_4b) ).
fof(f74,axiom,
! [X0,X1] :
( sameside(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz6_5) ).
fof(f75,axiom,
! [X0,X1,X2] :
( sameside(X2,X1,X0)
| ~ sameside(X0,X1,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',aSatz6_21) ).
fof(f91,axiom,
! [X0,X1] :
( ~ s_col(X0,X1,pointOffLine(X0,X1))
| X0 = X1 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',aSatz6_28) ).
fof(f93,axiom,
! [X0,X1,X2] :
( s_m(X2,X1,X0)
| ~ s_m(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_2) ).
fof(f95,axiom,
! [X0,X1] :
( X1 != X0
| s_m(X0,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_3b) ).
fof(f96,axiom,
! [X0,X1] : s_m(X0,X1,s(X1,X0)),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',aSatz7_4b) ).
fof(f98,axiom,
! [X0,X1,X2] :
( X2 = s(X1,X0)
| ~ s_m(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_6) ).
fof(f99,axiom,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_7) ).
fof(f101,axiom,
! [X0,X1,X2] :
( X1 = X2
| s(X0,X1) != s(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_9) ).
fof(f102,axiom,
! [X0,X1] :
( X1 = X0
| s(X0,X1) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_10a) ).
fof(f103,axiom,
! [X0,X1] :
( X1 != X0
| s(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_10b) ).
fof(f104,axiom,
! [X0,X1,X2] : s_e(X0,X1,s(X2,X0),s(X2,X1)),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',aSatz7_16b) ).
fof(f110,axiom,
! [X0,X1,X2] :
( X0 = X2
| s(X0,X1) != s(X2,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',aSatz7_25) ).
fof(f118,axiom,
! [X0,X1,X2] :
( s_r(X2,X1,X0)
| ~ s_r(X0,X1,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',aSatz8_4) ).
fof(f121,axiom,
! [X0,X1] : s_r(X0,X1,X1),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',aSatz8_7) ).
fof(f124,axiom,
! [X0,X1] :
( X0 = X1
| ~ s_r(X0,X1,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',aSatz8_13b) ).
fof(f131,axiom,
! [X0,X1,X2,X3] :
( ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2)
| ~ perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_14a) ).
fof(f132,axiom,
! [X0,X1,X2,X3,X4] :
( perpAt(X0,X1,X4,X2,X3)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_14b) ).
fof(f133,axiom,
! [X0,X1,X2,X3,X4] :
( X2 = il(X0,X1,X3,X4)
| ~ perpAt(X0,X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_14c) ).
fof(f134,axiom,
! [X0,X1,X2,X3] :
( perpAt(X0,X1,X2,X3,X2)
| ~ perp(X0,X1,X3,X2)
| ~ s_col(X0,X1,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_15) ).
fof(f135,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ perp(X0,X1,X4,X2)
| s_r(X4,X2,X3)
| X3 = X2
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2)
| X0 = X1 )
& ( ~ perp(X0,X1,X4,X2)
| ~ s_col(X0,X1,X4)
| X3 = X2
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_16a) ).
fof(f136,axiom,
! [X0,X1,X2,X3,X4] :
( ~ s_r(X4,X2,X3)
| s_col(X0,X1,X4)
| perp(X0,X1,X4,X2)
| X3 = X2
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_16b) ).
fof(f137,axiom,
! [X0,X1,X2,X3,X4] :
( X3 = X4
| ~ perp(X0,X1,X2,X4)
| ~ perp(X0,X1,X2,X3)
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,X3)
| s_col(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_18a) ).
fof(f138,axiom,
! [X0,X1,X2] :
( ( perp(X0,X1,X2,foot(X0,X1,X2))
| s_col(X0,X1,X2) )
& ( s_col(X0,X1,foot(X0,X1,X2))
| s_col(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_18) ).
fof(f139,axiom,
! [X0,X1,X2,X3] :
( s_r(X1,X0,X3)
| ~ s_m(s(X0,X2),X3,s(X1,X2))
| ~ s_r(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_20a) ).
fof(f140,axiom,
! [X0,X1,X2,X3] :
( X0 != X3
| X1 = X2
| ~ s_m(s(X0,X2),X3,s(X1,X2))
| ~ s_r(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_20b) ).
fof(f141,axiom,
! [X0,X1,X2,X3] :
( perp(X1,X0,X2,X3)
| ~ perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aperp1) ).
fof(f142,axiom,
! [X0,X1,X2,X3,X4] :
( s_col(X0,X1,X4)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2)
| X2 = X3
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aExtCol2) ).
fof(f143,axiom,
! [X0,X1,X2] :
( ( s_col(X0,X1,X2)
| s_t(X2,erectAux21a(X0,X1,X2),erect21a(X0,X1,X2))
| X0 = X1 )
& ( s_col(X0,X1,X2)
| s_col(X0,X1,erectAux21a(X0,X1,X2))
| X0 = X1 )
& ( s_col(X0,X1,X2)
| perp(X0,X1,erect21a(X0,X1,X2),X0)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_21a) ).
fof(f144,axiom,
! [X0,X1,X2] :
( ( s_t(X2,erectAux(X0,X1,X2),erect(X0,X1,X2))
| X0 = X1 )
& ( s_col(X0,X1,erectAux(X0,X1,X2))
| X0 = X1 )
& ( perp(X0,X1,erect(X0,X1,X2),X0)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_21) ).
fof(f145,axiom,
! [X0,X1,X2,X3,X4] :
( s_m(X0,midpointAux(X0,X2,X1,X3,X4),X2)
| ~ s_col(X0,X2,X4)
| ~ s_t(X1,X4,X3)
| ~ perp(X0,X2,X2,X3)
| ~ perp(X0,X2,X0,X1)
| ~ le(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_22b) ).
fof(f147,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( s_m(X1,X6,X2)
| X6 != ip(X0,X4,X3,X2,X5)
| ~ s_e(X1,X0,X2,X5)
| ~ s_t(X2,X5,X3)
| ~ s_t(X0,X4,X3)
| ~ s_col(X1,X2,X4)
| ~ perp(X3,X2,X1,X2)
| ~ perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_24a) ).
fof(f148,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( s_m(X0,X6,X5)
| X6 != ip(X0,X4,X3,X2,X5)
| ~ s_e(X1,X0,X2,X5)
| ~ s_t(X2,X5,X3)
| ~ s_t(X0,X4,X3)
| ~ s_col(X1,X2,X4)
| ~ perp(X3,X2,X1,X2)
| ~ perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_24b) ).
fof(f149,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( s_m(X0,midpoint(X1,X2),X5)
| ~ s_e(X1,X0,X2,X5)
| ~ s_t(X2,X5,X3)
| ~ s_t(X0,X4,X3)
| ~ s_col(X1,X2,X4)
| ~ perp(X3,X2,X1,X2)
| ~ perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_24) ).
fof(f150,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( s_m(X0,midpoint(X1,X2),X5)
| ~ s_e(X1,X0,X2,X5)
| ~ s_t(X2,X5,X3)
| ~ s_t(X0,X4,X3)
| ~ s_col(X1,X2,X4)
| ~ perp(X3,X2,X1,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(negated_conjecture,[status(cth)],[f149]) ).
fof(f151,axiom,
! [X0,X1,X2,X3] : insert(X0,X1,X2,X3) = ext(ext(X3,X2,alpha,gamma),X2,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_insert) ).
fof(f153,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/sandbox2/benchmark/theBenchmark.p',d_Defn4_1) ).
fof(f154,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/sandbox2/benchmark/theBenchmark.p',d_Defn4_4) ).
fof(f155,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/sandbox2/benchmark/theBenchmark.p',d_Defn4_10) ).
fof(f156,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/sandbox2/benchmark/theBenchmark.p',d_Defn4_15) ).
fof(f157,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/sandbox2/benchmark/theBenchmark.p',d_Defn5_4) ).
fof(f158,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/sandbox2/benchmark/theBenchmark.p',d_Defn6_1) ).
fof(f159,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/sandbox2/benchmark/theBenchmark.p',d_Defn7_1) ).
fof(f161,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/sandbox2/benchmark/theBenchmark.p',d_Defn8_1) ).
fof(f162,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/sandbox2/benchmark/theBenchmark.p',d_Defn8_11a) ).
fof(f163,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/sandbox2/benchmark/theBenchmark.p',d_Defn8_11b) ).
fof(f164,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ s_m(X0,midpoint(X1,X2),X5)
& s_e(X1,X0,X2,X5)
& s_t(X2,X5,X3)
& s_t(X0,X4,X3)
& s_col(X1,X2,X4)
& perp(X3,X2,X1,X2)
& perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f150]) ).
fof(f165,plain,
( ~ s_m(sK0,midpoint(sK1,sK2),sK5)
& s_e(sK1,sK0,sK2,sK5)
& s_t(sK2,sK5,sK3)
& s_t(sK0,sK4,sK3)
& s_col(sK1,sK2,sK4)
& perp(sK3,sK2,sK1,sK2)
& perp(sK0,sK1,sK1,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f164]) ).
fof(f166,plain,
! [X0,X1] : s_e(X0,X1,X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f167,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(f169,plain,
! [X2,X3,X0,X1] : s_e(X1,ext(X0,X1,X2,X3),X2,X3),
inference(cnf_transformation,[],[f4]) ).
fof(f170,plain,
! [X2,X3,X0,X1] : s_t(X0,X1,ext(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f4]) ).
fof(f171,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(f172,plain,
! [X0,X1] :
( X0 = X1
| ~ s_t(X0,X1,X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f173,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(f174,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(f175,plain,
~ s_t(gamma,alpha,beta),
inference(cnf_transformation,[],[f8]) ).
fof(f176,plain,
~ s_t(beta,gamma,alpha),
inference(cnf_transformation,[],[f8]) ).
fof(f177,plain,
~ s_t(alpha,beta,gamma),
inference(cnf_transformation,[],[f8]) ).
fof(f178,plain,
! [X0,X1] : s_e(X0,X1,X0,X1),
inference(cnf_transformation,[],[f9]) ).
fof(f179,plain,
! [X2,X3,X0,X1] :
( s_e(X2,X3,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f10]) ).
fof(f180,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(f181,plain,
! [X2,X3,X0,X1] :
( s_e(X1,X0,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f12]) ).
fof(f182,plain,
! [X2,X3,X0,X1] :
( s_e(X0,X1,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f13]) ).
fof(f183,plain,
! [X0,X1] : s_e(X0,X0,X1,X1),
inference(cnf_transformation,[],[f14]) ).
fof(f184,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(f185,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(f186,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ s_e(X0,X1,X2,X2) ),
inference(cnf_transformation,[],[f17]) ).
fof(f187,plain,
! [X2,X3,X0,X1] :
( s_e(X1,X0,X3,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f18]) ).
fof(f188,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(f189,plain,
! [X0,X1] : s_t(X0,X1,X1),
inference(cnf_transformation,[],[f20]) ).
fof(f190,plain,
! [X2,X0,X1] :
( s_t(X2,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f191,plain,
! [X0,X1] : s_t(X0,X0,X1),
inference(cnf_transformation,[],[f22]) ).
fof(f192,plain,
! [X2,X0,X1] :
( X0 = X1
| ~ s_t(X1,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f193,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(f194,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(f195,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(f196,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(f197,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(f198,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(f199,plain,
alpha != beta,
inference(cnf_transformation,[],[f30]) ).
fof(f200,plain,
beta != gamma,
inference(cnf_transformation,[],[f31]) ).
fof(f201,plain,
alpha != gamma,
inference(cnf_transformation,[],[f32]) ).
fof(f203,plain,
! [X0,X1] : ext(X1,X0,alpha,gamma) != X0,
inference(cnf_transformation,[],[f34]) ).
fof(f204,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(f205,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(f206,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(f207,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(f208,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(f209,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(f210,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(f211,plain,
! [X2,X0,X1] :
( s_col(X1,X2,X0)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f212,plain,
! [X2,X0,X1] :
( s_col(X2,X0,X1)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f213,plain,
! [X2,X0,X1] :
( s_col(X2,X1,X0)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f214,plain,
! [X2,X0,X1] :
( s_col(X1,X0,X2)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f215,plain,
! [X2,X0,X1] :
( s_col(X0,X2,X1)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f216,plain,
! [X0,X1] : s_col(X0,X0,X1),
inference(cnf_transformation,[],[f45]) ).
fof(f217,plain,
! [X0,X1] : s_col(X0,X1,X0),
inference(cnf_transformation,[],[f46]) ).
fof(f218,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(f219,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(f220,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(f221,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(f222,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(f223,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(f224,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(f225,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(f226,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(f227,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(f228,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(f229,plain,
! [X2,X3,X0,X1] :
( s_t(X0,X1,ins(X2,X3,X0,X1))
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f56]) ).
fof(f230,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(f231,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(f232,plain,
! [X0,X1] : le(X0,X1,X0,X1),
inference(cnf_transformation,[],[f59]) ).
fof(f233,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(f234,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(f235,plain,
! [X2,X3,X0,X1] :
( le(X2,X3,X0,X1)
| le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f62]) ).
fof(f236,plain,
! [X2,X0,X1] : le(X0,X0,X1,X2),
inference(cnf_transformation,[],[f63]) ).
fof(f237,plain,
! [X2,X0,X1] :
( le(X0,X1,X0,X2)
| ~ s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f64]) ).
fof(f238,plain,
! [X2,X0,X1] :
( le(X1,X2,X0,X2)
| ~ s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f239,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ s_e(X0,X2,X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f240,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(f242,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(f243,plain,
! [X2,X0,X1] :
( s_t(X2,X1,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f244,plain,
! [X2,X0,X1] :
( s_t(X0,X1,c63(X0,X1,X2))
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f245,plain,
! [X2,X0,X1] :
( c63(X0,X1,X2) != X1
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f248,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(f249,plain,
! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f250,plain,
! [X2,X0,X1] :
( s_col(X0,X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f251,plain,
! [X2,X0,X1] :
( s_t(X0,X1,X2)
| ~ s_col(X0,X1,X2)
| sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f73]) ).
fof(f252,plain,
! [X0,X1] :
( sameside(X0,X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f253,plain,
! [X2,X0,X1] :
( sameside(X2,X1,X0)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f75]) ).
fof(f254,plain,
! [X2,X3,X0,X1] :
( sameside(X0,X1,X3)
| ~ sameside(X2,X1,X3)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f256,plain,
! [X2,X3,X0,X1] :
( sameside(insert(X2,X3,X1,X0),X1,X0)
| X2 = X3
| X0 = X1 ),
inference(cnf_transformation,[],[f77]) ).
fof(f257,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(f258,plain,
! [X2,X0,X1] :
( s_t(X1,X0,X2)
| ~ le(X1,X0,X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f259,plain,
! [X2,X0,X1] :
( ~ s_t(X1,X0,X2)
| le(X1,X0,X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f260,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(f262,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(f264,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(f265,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(f268,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(f269,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(f270,plain,
! [X0,X1] :
( ~ s_col(X0,X1,pointOffLine(X0,X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f91]) ).
fof(f271,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(f272,plain,
! [X2,X0,X1] :
( s_m(X2,X1,X0)
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f274,plain,
! [X0,X1] :
( X0 != X1
| s_m(X0,X1,X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f275,plain,
! [X0,X1] : s_m(X0,X1,s(X1,X0)),
inference(cnf_transformation,[],[f96]) ).
fof(f276,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| ~ s_m(X0,X1,X3)
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f97]) ).
fof(f277,plain,
! [X2,X0,X1] :
( s(X1,X0) = X2
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f98]) ).
fof(f278,plain,
! [X0,X1] : s(X0,s(X0,X1)) = X1,
inference(cnf_transformation,[],[f99]) ).
fof(f280,plain,
! [X2,X0,X1] :
( X1 = X2
| s(X0,X1) != s(X0,X2) ),
inference(cnf_transformation,[],[f101]) ).
fof(f281,plain,
! [X0,X1] :
( X0 = X1
| s(X0,X1) != X1 ),
inference(cnf_transformation,[],[f102]) ).
fof(f282,plain,
! [X0,X1] :
( X0 != X1
| s(X0,X1) = X1 ),
inference(cnf_transformation,[],[f103]) ).
fof(f283,plain,
! [X2,X0,X1] : s_e(X0,X1,s(X2,X0),s(X2,X1)),
inference(cnf_transformation,[],[f104]) ).
fof(f284,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(f285,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(f286,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(f287,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(f289,plain,
! [X2,X0,X1] :
( X0 = X2
| s(X0,X1) != s(X2,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f290,plain,
! [X2,X0,X1] :
( X0 = X1
| s(X0,s(X1,X2)) != s(X1,s(X0,X2)) ),
inference(cnf_transformation,[],[f111]) ).
fof(f291,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(f292,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(f295,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(f296,plain,
! [X2,X0,X1] :
( s_m(X1,isomidpoint(X1,X2,X0),X2)
| ~ s_e(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f297,plain,
! [X2,X0,X1] :
( s_r(X2,X1,X0)
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f118]) ).
fof(f298,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(f299,plain,
! [X2,X0,X1] :
( s_r(X0,X1,s(X1,X2))
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f300,plain,
! [X0,X1] : s_r(X0,X1,X1),
inference(cnf_transformation,[],[f121]) ).
fof(f301,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(f302,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ s_r(X0,X2,X1)
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f303,plain,
! [X0,X1] :
( X0 = X1
| ~ s_r(X0,X1,X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f304,plain,
! [X2,X0,X1] :
( X1 = X2
| X0 = X1
| ~ s_col(X0,X1,X2)
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f125]) ).
fof(f305,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(f306,plain,
! [X2,X3,X0,X1,X4] :
( perpAt(X3,X4,X2,X0,X1)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f127]) ).
fof(f307,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f128]) ).
fof(f308,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(f309,plain,
! [X2,X3,X0,X1,X4] :
( g813(X0,X1,X3,X4,X2) != X2
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f129]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4] :
( f813(X0,X1,X3,X4,X2) != X2
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f129]) ).
fof(f311,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(f312,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(f317,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(f318,plain,
! [X2,X3,X0,X1] :
( ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f131]) ).
fof(f319,plain,
! [X2,X3,X0,X1,X4] :
( perpAt(X0,X1,X4,X2,X3)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f132]) ).
fof(f320,plain,
! [X2,X3,X0,X1,X4] :
( il(X0,X1,X3,X4) = X2
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f133]) ).
fof(f321,plain,
! [X2,X3,X0,X1] :
( perpAt(X0,X1,X2,X3,X2)
| ~ perp(X0,X1,X3,X2)
| ~ s_col(X0,X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f134]) ).
fof(f322,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X4,X2)
| s_r(X4,X2,X3)
| X2 = X3
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f135]) ).
fof(f324,plain,
! [X2,X3,X0,X1,X4] :
( ~ s_r(X4,X2,X3)
| s_col(X0,X1,X4)
| perp(X0,X1,X4,X2)
| X2 = X3
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f136]) ).
fof(f325,plain,
! [X2,X3,X0,X1,X4] :
( X3 = X4
| ~ perp(X0,X1,X2,X4)
| ~ perp(X0,X1,X2,X3)
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,X3)
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f137]) ).
fof(f326,plain,
! [X2,X0,X1] :
( perp(X0,X1,X2,foot(X0,X1,X2))
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f327,plain,
! [X2,X0,X1] :
( s_col(X0,X1,foot(X0,X1,X2))
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f138]) ).
fof(f328,plain,
! [X2,X3,X0,X1] :
( s_r(X1,X0,X3)
| ~ s_m(s(X0,X2),X3,s(X1,X2))
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f139]) ).
fof(f329,plain,
! [X2,X3,X0,X1] :
( X0 != X3
| X1 = X2
| ~ s_m(s(X0,X2),X3,s(X1,X2))
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f330,plain,
! [X2,X3,X0,X1] :
( perp(X1,X0,X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f141]) ).
fof(f331,plain,
! [X2,X3,X0,X1,X4] :
( s_col(X0,X1,X4)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2)
| X2 = X3
| X0 = X1 ),
inference(cnf_transformation,[],[f142]) ).
fof(f332,plain,
! [X2,X0,X1] :
( s_col(X0,X1,X2)
| s_t(X2,erectAux21a(X0,X1,X2),erect21a(X0,X1,X2))
| X0 = X1 ),
inference(cnf_transformation,[],[f143]) ).
fof(f333,plain,
! [X2,X0,X1] :
( s_col(X0,X1,X2)
| s_col(X0,X1,erectAux21a(X0,X1,X2))
| X0 = X1 ),
inference(cnf_transformation,[],[f143]) ).
fof(f334,plain,
! [X2,X0,X1] :
( s_col(X0,X1,X2)
| perp(X0,X1,erect21a(X0,X1,X2),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f143]) ).
fof(f335,plain,
! [X2,X0,X1] :
( s_t(X2,erectAux(X0,X1,X2),erect(X0,X1,X2))
| X0 = X1 ),
inference(cnf_transformation,[],[f144]) ).
fof(f336,plain,
! [X2,X0,X1] :
( s_col(X0,X1,erectAux(X0,X1,X2))
| X0 = X1 ),
inference(cnf_transformation,[],[f144]) ).
fof(f337,plain,
! [X2,X0,X1] :
( perp(X0,X1,erect(X0,X1,X2),X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f144]) ).
fof(f338,plain,
! [X2,X3,X0,X1,X4] :
( s_m(X0,midpointAux(X0,X2,X1,X3,X4),X2)
| ~ s_col(X0,X2,X4)
| ~ s_t(X1,X4,X3)
| ~ perp(X0,X2,X2,X3)
| ~ perp(X0,X2,X0,X1)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f145]) ).
fof(f340,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s_m(X1,X6,X2)
| ip(X0,X4,X3,X2,X5) != X6
| ~ s_e(X1,X0,X2,X5)
| ~ s_t(X2,X5,X3)
| ~ s_t(X0,X4,X3)
| ~ s_col(X1,X2,X4)
| ~ perp(X3,X2,X1,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f341,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( s_m(X0,X6,X5)
| ip(X0,X4,X3,X2,X5) != X6
| ~ s_e(X1,X0,X2,X5)
| ~ s_t(X2,X5,X3)
| ~ s_t(X0,X4,X3)
| ~ s_col(X1,X2,X4)
| ~ perp(X3,X2,X1,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f148]) ).
fof(f342,plain,
~ s_m(sK0,midpoint(sK1,sK2),sK5),
inference(cnf_transformation,[],[f165]) ).
fof(f343,plain,
s_e(sK1,sK0,sK2,sK5),
inference(cnf_transformation,[],[f165]) ).
fof(f344,plain,
s_t(sK2,sK5,sK3),
inference(cnf_transformation,[],[f165]) ).
fof(f345,plain,
s_t(sK0,sK4,sK3),
inference(cnf_transformation,[],[f165]) ).
fof(f346,plain,
s_col(sK1,sK2,sK4),
inference(cnf_transformation,[],[f165]) ).
fof(f347,plain,
perp(sK3,sK2,sK1,sK2),
inference(cnf_transformation,[],[f165]) ).
fof(f348,plain,
perp(sK0,sK1,sK1,sK2),
inference(cnf_transformation,[],[f165]) ).
fof(f349,plain,
! [X2,X3,X0,X1] : insert(X0,X1,X2,X3) = ext(ext(X3,X2,alpha,gamma),X2,X0,X1),
inference(cnf_transformation,[],[f151]) ).
fof(f357,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,[],[f153]) ).
fof(f364,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,[],[f154]) ).
fof(f365,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X1,X2,X4,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f154]) ).
fof(f366,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X2,X3,X5)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f154]) ).
fof(f367,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_e(X0,X1,X3,X4)
| ~ s_e3(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f154]) ).
fof(f368,plain,
! [X2,X0,X1] :
( ~ s_t(X2,X0,X1)
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f155]) ).
fof(f369,plain,
! [X2,X0,X1] :
( ~ s_t(X1,X2,X0)
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f155]) ).
fof(f370,plain,
! [X2,X0,X1] :
( ~ s_t(X0,X1,X2)
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f155]) ).
fof(f371,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,[],[f155]) ).
fof(f372,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,[],[f156]) ).
fof(f377,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,[],[f157]) ).
fof(f378,plain,
! [X2,X3,X0,X1] :
( s_e(X0,X1,X2,insert(X0,X1,X2,X3))
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f157]) ).
fof(f379,plain,
! [X2,X3,X0,X1] :
( s_t(X2,insert(X0,X1,X2,X3),X3)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f157]) ).
fof(f380,plain,
! [X2,X0,X1] :
( sameside(X0,X1,X2)
| X1 = X2
| X0 = X1
| ~ s_t(X1,X2,X0) ),
inference(cnf_transformation,[],[f158]) ).
fof(f381,plain,
! [X2,X0,X1] :
( sameside(X0,X1,X2)
| xb = X1
| X0 = X1
| ~ s_t(X1,X0,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f382,plain,
! [X2,X0,X1] :
( s_t(X1,X2,X0)
| s_t(X1,X0,X2)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f383,plain,
! [X2,X0,X1] :
( X1 != X2
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f384,plain,
! [X2,X0,X1] :
( X0 != X1
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f385,plain,
! [X2,X0,X1] :
( s_m(X0,X1,X2)
| ~ s_e(X1,X0,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f159]) ).
fof(f386,plain,
! [X2,X0,X1] :
( s_e(X1,X0,X1,X2)
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f159]) ).
fof(f387,plain,
! [X2,X0,X1] :
( s_t(X0,X1,X2)
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f159]) ).
fof(f395,plain,
! [X2,X0,X1] :
( ~ s_e(X0,X2,X0,s(X1,X2))
| s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f161]) ).
fof(f396,plain,
! [X2,X0,X1] :
( s_e(X0,X2,X0,s(X1,X2))
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f161]) ).
fof(f397,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,[],[f162]) ).
fof(f398,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,[],[f162]) ).
fof(f399,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,[],[f162]) ).
fof(f400,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,[],[f162]) ).
fof(f401,plain,
! [X2,X3,X0,X1,X4] :
( X3 != X4
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f162]) ).
fof(f402,plain,
! [X2,X3,X0,X1,X4] :
( X0 != X1
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f162]) ).
fof(f403,plain,
! [X2,X3,X0,X1,X4] :
( s_col(X3,X4,X2)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f162]) ).
fof(f404,plain,
! [X2,X3,X0,X1,X4] :
( s_col(X0,X1,X2)
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f162]) ).
fof(f405,plain,
! [X2,X3,X0,X1,X4] :
( ~ perpAt(X0,X1,X4,X2,X3)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f163]) ).
fof(f406,plain,
! [X2,X3,X0,X1] :
( perpAt(X0,X1,il(X0,X1,X2,X3),X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f163]) ).
fof(f407,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,[],[f209,f349]) ).
fof(f408,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,[],[f208,f349]) ).
fof(f409,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,[],[f227,f349]) ).
fof(f410,plain,
! [X2,X3,X0,X1] :
( sameside(ext(ext(X0,X1,alpha,gamma),X1,X2,X3),X1,X0)
| X2 = X3
| X0 = X1 ),
inference(definition_unfolding,[],[f256,f349]) ).
fof(f412,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,[],[f379,f349]) ).
fof(f413,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,[],[f378,f349]) ).
fof(f417,plain,
! [X1] : s_m(X1,X1,X1),
inference(equality_resolution,[],[f274]) ).
fof(f419,plain,
! [X1] : s(X1,X1) = X1,
inference(equality_resolution,[],[f282]) ).
fof(f422,plain,
! [X2,X3,X1] :
( X1 = X2
| ~ s_m(s(X3,X2),X3,s(X1,X2))
| ~ s_r(X3,X1,X2) ),
inference(equality_resolution,[],[f329]) ).
fof(f423,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_m(X1,ip(X0,X4,X3,X2,X5),X2)
| ~ s_e(X1,X0,X2,X5)
| ~ s_t(X2,X5,X3)
| ~ s_t(X0,X4,X3)
| ~ s_col(X1,X2,X4)
| ~ perp(X3,X2,X1,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(equality_resolution,[],[f340]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X4,X5] :
( s_m(X0,ip(X0,X4,X3,X2,X5),X5)
| ~ s_e(X1,X0,X2,X5)
| ~ s_t(X2,X5,X3)
| ~ s_t(X0,X4,X3)
| ~ s_col(X1,X2,X4)
| ~ perp(X3,X2,X1,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(equality_resolution,[],[f341]) ).
fof(f425,plain,
! [X2,X1] : ~ sameside(X1,X1,X2),
inference(equality_resolution,[],[f384]) ).
fof(f426,plain,
! [X2,X0] : ~ sameside(X0,X2,X2),
inference(equality_resolution,[],[f383]) ).
fof(f427,plain,
! [X2,X3,X1,X4] : ~ perpAt(X1,X1,X2,X3,X4),
inference(equality_resolution,[],[f402]) ).
fof(f428,plain,
! [X2,X0,X1,X4] : ~ perpAt(X0,X1,X2,X4,X4),
inference(equality_resolution,[],[f401]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] : s_e(X0,X1,X1,X0),
inference(cnf_transformation,[],[f166]) ).
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,[],[f167]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_t(X0,X1,ext(X0,X1,X2,X3)),
inference(cnf_transformation,[],[f170]) ).
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,[],[f169]) ).
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,[],[f171]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ s_t(X0,X1,X0) ),
inference(cnf_transformation,[],[f172]) ).
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,[],[f174]) ).
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,[],[f173]) ).
tcf(c_58,plain,
~ s_t(alpha,beta,gamma),
inference(cnf_transformation,[],[f177]) ).
tcf(c_59,plain,
~ s_t(beta,gamma,alpha),
inference(cnf_transformation,[],[f176]) ).
tcf(c_60,plain,
~ s_t(gamma,alpha,beta),
inference(cnf_transformation,[],[f175]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : s_e(X0,X1,X0,X1),
inference(cnf_transformation,[],[f178]) ).
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,[],[f179]) ).
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,[],[f180]) ).
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,[],[f181]) ).
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,[],[f182]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] : s_e(X0,X0,X1,X1),
inference(cnf_transformation,[],[f183]) ).
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,[],[f184]) ).
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,[],[f185]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ s_e(X0,X1,X2,X2) ),
inference(cnf_transformation,[],[f186]) ).
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,[],[f187]) ).
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,[],[f188]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] : s_t(X0,X1,X1),
inference(cnf_transformation,[],[f189]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X1,X0)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] : s_t(X0,X0,X1),
inference(cnf_transformation,[],[f191]) ).
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,[],[f192]) ).
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,[],[f193]) ).
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,[],[f194]) ).
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,[],[f195]) ).
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,[],[f196]) ).
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,[],[f197]) ).
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,[],[f198]) ).
tcf(c_82,plain,
alpha != beta,
inference(cnf_transformation,[],[f199]) ).
tcf(c_83,plain,
beta != gamma,
inference(cnf_transformation,[],[f200]) ).
tcf(c_84,plain,
alpha != gamma,
inference(cnf_transformation,[],[f201]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] : ext(X0,X1,alpha,gamma) != X1,
inference(cnf_transformation,[],[f203]) ).
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,[],[f205]) ).
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,[],[f204]) ).
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,[],[f206]) ).
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,[],[f207]) ).
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,[],[f407]) ).
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,[],[f408]) ).
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,[],[f210]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X2,X0)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X2,X0,X1)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X2,X1,X0)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X2,X1)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] : s_col(X0,X0,X1),
inference(cnf_transformation,[],[f216]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] : s_col(X0,X1,X0),
inference(cnf_transformation,[],[f217]) ).
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,[],[f218]) ).
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,[],[f219]) ).
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,[],[f220]) ).
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,[],[f221]) ).
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,[],[f222]) ).
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,[],[f223]) ).
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,[],[f224]) ).
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,[],[f225]) ).
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,[],[f226]) ).
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,[],[f229]) ).
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,[],[f228]) ).
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,[],[f409]) ).
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,[],[f230]) ).
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,[],[f231]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i] : le(X0,X1,X0,X1),
inference(cnf_transformation,[],[f232]) ).
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,[],[f233]) ).
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,[],[f234]) ).
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,[],[f235]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i,X2: $i] : le(X0,X0,X1,X2),
inference(cnf_transformation,[],[f236]) ).
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,[],[f237]) ).
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,[],[f238]) ).
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,[],[f239]) ).
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,[],[f240]) ).
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,[],[f242]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ sameside(X0,X1,X2)
| ( c63(X0,X1,X2) != X1 ) ),
inference(cnf_transformation,[],[f245]) ).
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,[],[f244]) ).
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,[],[f243]) ).
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,[],[f248]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f250]) ).
tcf(c_133,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ sameside(X0,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f249]) ).
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,[],[f251]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i] :
( sameside(X0,X1,X0)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,X1,X0)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f253]) ).
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,[],[f254]) ).
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,[],[f410]) ).
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,[],[f257]) ).
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,[],[f258]) ).
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,[],[f259]) ).
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,[],[f260]) ).
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,[],[f262]) ).
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,[],[f264]) ).
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,[],[f265]) ).
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,[],[f268]) ).
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,[],[f269]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ s_col(X0,X1,pointOffLine(X0,X1)) ),
inference(cnf_transformation,[],[f270]) ).
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,[],[f271]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_m(X2,X1,X0)
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_157,plain,
! [X0: $i] : s_m(X0,X0,X0),
inference(cnf_transformation,[],[f417]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i] : s_m(X0,X1,s(X1,X0)),
inference(cnf_transformation,[],[f275]) ).
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,[],[f276]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X1,X0) = X2 )
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i] : s(X0,s(X0,X1)) = X1,
inference(cnf_transformation,[],[f278]) ).
tcf(c_163,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( s(X0,X1) != s(X0,X2) ) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_165,plain,
! [X0: $i] : s(X0,X0) = X0,
inference(cnf_transformation,[],[f419]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,X1,s(X2,X0),s(X2,X1)),
inference(cnf_transformation,[],[f283]) ).
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,[],[f284]) ).
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,[],[f285]) ).
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,[],[f286]) ).
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,[],[f287]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( s(X0,X1) != s(X2,X1) ) ),
inference(cnf_transformation,[],[f289]) ).
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,[],[f290]) ).
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,[],[f291]) ).
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,[],[f292]) ).
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,[],[f295]) ).
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,[],[f296]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X2,X1,X0)
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f297]) ).
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,[],[f298]) ).
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,[],[f299]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i] : s_r(X0,X1,X1),
inference(cnf_transformation,[],[f300]) ).
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,[],[f301]) ).
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,[],[f302]) ).
tcf(c_186,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ s_r(X0,X1,X0) ),
inference(cnf_transformation,[],[f303]) ).
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,[],[f304]) ).
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,[],[f305]) ).
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,[],[f306]) ).
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,[],[f307]) ).
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,[],[f312]) ).
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,[],[f311]) ).
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,[],[f310]) ).
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,[],[f309]) ).
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,[],[f308]) ).
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,[],[f317]) ).
tcf(c_201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_202,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perpAt(X0,X1,X4,X2,X3)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_203,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( il(X0,X1,X3,X4) = X2 )
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(X0,X1,X3,X2,X3)
| ( X0 = X1 )
| ~ s_col(X0,X1,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_r(X2,X3,X4)
| ( X3 = X4 )
| ( X0 = X1 )
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| perp(X0,X1,X4,X2)
| ( X2 = X3 )
| ( X0 = X1 )
| ~ s_r(X4,X2,X3)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_208,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X2)
| ( X3 = X4 )
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,X3)
| ~ perp(X0,X1,X2,X4)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_209,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| s_col(X0,X1,foot(X0,X1,X2)) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_210,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| perp(X0,X1,X2,foot(X0,X1,X2)) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_r(X3,X0,X2)
| ~ s_r(X0,X3,X1)
| ~ s_m(s(X0,X1),X2,s(X3,X1)) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_212,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_r(X0,X2,X1)
| ~ s_m(s(X0,X1),X0,s(X2,X1)) ),
inference(cnf_transformation,[],[f422]) ).
tcf(c_213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X0,X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f330]) ).
tcf(c_214,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X2 = X3 )
| ( X0 = X1 )
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f331]) ).
tcf(c_215,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| perp(X0,X1,erect21a(X0,X1,X2),X0)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_216,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| s_col(X0,X1,erectAux21a(X0,X1,X2))
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_217,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| s_t(X2,erectAux21a(X0,X1,X2),erect21a(X0,X1,X2))
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f332]) ).
tcf(c_218,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X0,X1,erect(X0,X1,X2),X0)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_219,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,erectAux(X0,X1,X2))
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,erectAux(X0,X1,X2),erect(X0,X1,X2))
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_m(X0,midpointAux(X0,X2,X1,X3,X4),X2)
| ~ s_col(X0,X2,X4)
| ~ s_t(X1,X4,X3)
| ~ perp(X0,X2,X2,X3)
| ~ perp(X0,X2,X0,X1)
| ~ le(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_m(X0,ip(X1,X5,X4,X2,X3),X2)
| ~ s_col(X0,X2,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X1,X5,X4)
| ~ perp(X4,X2,X0,X2)
| ~ perp(X1,X0,X0,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f423]) ).
tcf(c_224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_m(X1,ip(X1,X5,X4,X2,X3),X3)
| ~ s_col(X0,X2,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X1,X5,X4)
| ~ perp(X4,X2,X0,X2)
| ~ perp(X1,X0,X0,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f424]) ).
tcf(c_225,negated_conjecture,
perp(sK0,sK1,sK1,sK2),
inference(cnf_transformation,[],[f348]) ).
tcf(c_226,negated_conjecture,
perp(sK3,sK2,sK1,sK2),
inference(cnf_transformation,[],[f347]) ).
tcf(c_227,negated_conjecture,
s_col(sK1,sK2,sK4),
inference(cnf_transformation,[],[f346]) ).
tcf(c_228,negated_conjecture,
s_t(sK0,sK4,sK3),
inference(cnf_transformation,[],[f345]) ).
tcf(c_229,negated_conjecture,
s_t(sK2,sK5,sK3),
inference(cnf_transformation,[],[f344]) ).
tcf(c_230,negated_conjecture,
s_e(sK1,sK0,sK2,sK5),
inference(cnf_transformation,[],[f343]) ).
tcf(c_231,negated_conjecture,
~ s_m(sK0,midpoint(sK1,sK2),sK5),
inference(cnf_transformation,[],[f342]) ).
tcf(c_245,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,[],[f357]) ).
tcf(c_246,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,[],[f367]) ).
tcf(c_247,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,[],[f366]) ).
tcf(c_248,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,[],[f365]) ).
tcf(c_249,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,[],[f364]) ).
tcf(c_250,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,[],[f371]) ).
tcf(c_251,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f370]) ).
tcf(c_252,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X2,X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f369]) ).
tcf(c_253,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X2,X0)
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f368]) ).
tcf(c_258,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,[],[f372]) ).
tcf(c_259,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,[],[f412]) ).
tcf(c_260,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,[],[f413]) ).
tcf(c_261,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,[],[f377]) ).
tcf(c_262,plain,
! [X0: $i,X1: $i] : ~ sameside(X0,X0,X1),
inference(cnf_transformation,[],[f425]) ).
tcf(c_263,plain,
! [X0: $i,X1: $i] : ~ sameside(X0,X1,X1),
inference(cnf_transformation,[],[f426]) ).
tcf(c_264,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X2,X0)
| s_t(X1,X0,X2)
| ~ sameside(X0,X1,X2) ),
inference(cnf_transformation,[],[f382]) ).
tcf(c_265,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X1,X0,X2)
| ( X0 = xb )
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f381]) ).
tcf(c_266,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,X0,X1)
| ( X0 = X2 )
| ( X0 = X1 )
| ~ s_t(X0,X1,X2) ),
inference(cnf_transformation,[],[f380]) ).
tcf(c_267,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,X2)
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f387]) ).
tcf(c_268,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X0,X1,X2)
| ~ s_m(X0,X1,X2) ),
inference(cnf_transformation,[],[f386]) ).
tcf(c_269,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,[],[f385]) ).
tcf(c_277,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,X0,s(X1,X2))
| ~ s_r(X0,X1,X2) ),
inference(cnf_transformation,[],[f396]) ).
tcf(c_278,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X0,X2,X1)
| ~ s_e(X0,X1,X0,s(X2,X1)) ),
inference(cnf_transformation,[],[f395]) ).
tcf(c_279,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,[],[f404]) ).
tcf(c_280,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,[],[f403]) ).
tcf(c_281,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ perpAt(X0,X0,X1,X2,X3),
inference(cnf_transformation,[],[f427]) ).
tcf(c_282,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ~ perpAt(X0,X1,X2,X3,X3),
inference(cnf_transformation,[],[f428]) ).
tcf(c_283,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,[],[f400]) ).
tcf(c_284,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,[],[f399]) ).
tcf(c_285,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,[],[f398]) ).
tcf(c_286,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,[],[f397]) ).
tcf(c_287,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,[],[f406]) ).
tcf(c_288,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,[],[f405]) ).
tcf(c_357,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_251,c_120]) ).
tcf(c_359,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_251,c_121]) ).
tcf(c_361,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_357]) ).
tcf(c_367,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ perp(X0,X1,X2,X3)
| ~ perp(X0,X1,X2,X4)
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X4)
| ( X3 = X4 ) ),
inference(global_subsumption_just,[status(thm)],[c_208,c_201,c_208]) ).
tcf(c_368,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X3 = X4 )
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,X3)
| ~ perp(X0,X1,X2,X4)
| ~ perp(X0,X1,X2,X3) ),
inference(renaming,[status(thm)],[c_367]) ).
tcf(c_369,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midpoint(X1,X0) = X2 )
| ( midpoint(X0,X1) != X2 ) ),
inference(well_definedness,[status(thm)],[c_155]) ).
tcf(c_373,plain,
! [X0: $i] : midpoint(X0,X0) = X0,
inference(well_definedness,[status(thm)],[c_157]) ).
tcf(c_374,plain,
! [X0: $i,X1: $i] : midpoint(X0,s(X1,X0)) = X1,
inference(well_definedness,[status(thm)],[c_158]) ).
tcf(c_375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ( midpoint(X0,X3) != X2 )
| ( midpoint(X0,X1) != X2 ) ),
inference(well_definedness,[status(thm)],[c_159]) ).
tcf(c_377,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(X2,X0) = X1 )
| ( midpoint(X0,X1) != X2 ) ),
inference(well_definedness,[status(thm)],[c_160]) ).
tcf(c_381,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( midpoint(X1,X2) = X0 )
| ~ s_col(X1,X0,X2)
| ~ s_e(X0,X1,X0,X2) ),
inference(well_definedness,[status(thm)],[c_174]) ).
tcf(c_382,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X2)
| ( X1 = X3 )
| ( midpoint(X0,X2) = X4 )
| ~ s_col(X1,X4,X3)
| ~ s_col(X0,X4,X2)
| ~ s_e(X1,X2,X3,X0)
| ~ s_e(X0,X1,X2,X3) ),
inference(well_definedness,[status(thm)],[c_175]) ).
tcf(c_383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_t(X2,X6,X5)
| ~ s_t(X1,X6,X4)
| ~ s_t(X0,X6,X3)
| ~ s_e(X6,X3,X6,X4)
| ~ s_e(X6,X0,X6,X1)
| ( midpoint(X3,X4) != X5 )
| ( midpoint(X0,X1) != X2 ) ),
inference(well_definedness,[status(thm)],[c_178]) ).
tcf(c_385,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( isomidpoint(X1,X2,X0) = midpoint(X1,X2) )
| ~ s_e(X0,X1,X0,X2) ),
inference(well_definedness,[status(thm)],[c_179]) ).
tcf(c_386,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_r(X2,X0,X3)
| ~ s_r(X0,X2,X1)
| ( midpoint(s(X0,X1),s(X2,X1)) != X3 ) ),
inference(well_definedness,[status(thm)],[c_211]) ).
tcf(c_388,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ s_r(X0,X2,X1)
| ( midpoint(s(X0,X1),s(X2,X1)) != X0 ) ),
inference(well_definedness,[status(thm)],[c_212]) ).
tcf(c_389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( midpointAux(X0,X2,X1,X3,X4) = midpoint(X0,X2) )
| ~ s_col(X0,X2,X4)
| ~ s_t(X1,X4,X3)
| ~ perp(X0,X2,X2,X3)
| ~ perp(X0,X2,X0,X1)
| ~ le(X0,X1,X2,X3) ),
inference(well_definedness,[status(thm)],[c_221]) ).
tcf(c_391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X1,X5,X4,X2,X3) = midpoint(X0,X2) )
| ~ s_col(X0,X2,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X1,X5,X4)
| ~ perp(X4,X2,X0,X2)
| ~ perp(X1,X0,X0,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(well_definedness,[status(thm)],[c_223]) ).
tcf(c_392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( ip(X1,X5,X4,X2,X3) = midpoint(X1,X3) )
| ~ s_col(X0,X2,X5)
| ~ s_t(X2,X3,X4)
| ~ s_t(X1,X5,X4)
| ~ perp(X4,X2,X0,X2)
| ~ perp(X1,X0,X0,X2)
| ~ s_e(X0,X1,X2,X3) ),
inference(well_definedness,[status(thm)],[c_224]) ).
tcf(c_393,plain,
midpoint(sK0,sK5) != midpoint(sK1,sK2),
inference(well_definedness,[status(thm)],[c_231]) ).
tcf(c_394,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,X1)
| ( midpoint(X0,X1) != X2 ) ),
inference(well_definedness,[status(thm)],[c_267]) ).
tcf(c_396,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X0,X2,X1)
| ( midpoint(X0,X1) != X2 ) ),
inference(well_definedness,[status(thm)],[c_268]) ).
tcf(c_398,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midpoint(X1,X2) = X0 )
| ~ s_t(X1,X0,X2)
| ~ s_e(X0,X1,X0,X2) ),
inference(well_definedness,[status(thm)],[c_269]) ).
tcf(c_1750,plain,
! [X0: $i,X1: $i] : s_t(X0,midpoint(X0,X1),X1),
inference(unflattening,[status(thm)],[c_394]) ).
tcf(c_1804,plain,
! [X0: $i,X1: $i] : s_e(midpoint(X0,X1),X0,midpoint(X0,X1),X1),
inference(unflattening,[status(thm)],[c_396]) ).
tcf(c_1833,plain,
! [X0: $i,X1: $i] : s(midpoint(X0,X1),X0) = X1,
inference(unflattening,[status(thm)],[c_377]) ).
tcf(c_1834,plain,
! [X0: $i,X1: $i] : midpoint(X0,X1) = midpoint(X1,X0),
inference(unflattening,[status(thm)],[c_369]) ).
tcf(c_1835,plain,
midpoint(sK0,sK5) != midpoint(sK2,sK1),
inference(demodulation,[status(thm)],[c_393,c_1834]) ).
tcf(c_2181,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( midpoint(X0,X1) != midpoint(X0,X2) ) ),
inference(unflattening,[status(thm)],[c_375]) ).
tcf(c_2280,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,X0,midpoint(s(X0,X2),s(X1,X2)))
| ~ s_r(X0,X1,X2) ),
inference(unflattening,[status(thm)],[c_386]) ).
tcf(c_2699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(midpoint(X1,X2),X0,midpoint(X3,X4))
| ~ s_t(X2,X0,X4)
| ~ s_t(X1,X0,X3)
| ~ s_e(X0,X3,X0,X4)
| ~ s_e(X0,X1,X0,X2) ),
inference(unflattening,[status(thm)],[c_383]) ).
tcf(c_2861,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_258]) ).
tcf(c_2862,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_2861]) ).
tcf(c_2925,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_245]) ).
tcf(c_2926,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_2925]) ).
tcf(c_5718,definition,
iPr_def_10 = midpoint(sK0,sK5),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_5719,definition,
iPr_def_11 = midpoint(sK2,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_5720,plain,
iPr_def_10 != iPr_def_11,
inference(demodulation,[status(thm)],[c_1835,c_5719,c_5718]) ).
tcf(c_5721,negated_conjecture,
s_e(sK1,sK0,sK2,sK5),
inference(demodulation,[status(thm)],[c_230]) ).
tcf(c_5722,negated_conjecture,
s_t(sK2,sK5,sK3),
inference(demodulation,[status(thm)],[c_229]) ).
tcf(c_5723,negated_conjecture,
s_t(sK0,sK4,sK3),
inference(demodulation,[status(thm)],[c_228]) ).
tcf(c_5724,negated_conjecture,
s_col(sK1,sK2,sK4),
inference(demodulation,[status(thm)],[c_227]) ).
tcf(c_5725,negated_conjecture,
perp(sK3,sK2,sK1,sK2),
inference(demodulation,[status(thm)],[c_226]) ).
tcf(c_5726,negated_conjecture,
perp(sK0,sK1,sK1,sK2),
inference(demodulation,[status(thm)],[c_225]) ).
tcf(c_8163,plain,
s_t(sK0,iPr_def_10,sK5),
inference(superposition,[status(thm)],[c_5718,c_1750]) ).
tcf(c_8164,plain,
s_e(iPr_def_10,sK0,iPr_def_10,sK5),
inference(superposition,[status(thm)],[c_5718,c_1804]) ).
tcf(c_8165,plain,
s_t(sK2,iPr_def_11,sK1),
inference(superposition,[status(thm)],[c_5719,c_1750]) ).
tcf(c_8166,plain,
s_e(iPr_def_11,sK2,iPr_def_11,sK1),
inference(superposition,[status(thm)],[c_5719,c_1804]) ).
tcf(c_8167,plain,
! [X0: $i] : s_t(X0,X0,X0),
inference(superposition,[status(thm)],[c_373,c_1750]) ).
tcf(c_8168,plain,
! [X0: $i] : s_e(X0,X0,X0,X0),
inference(superposition,[status(thm)],[c_373,c_1804]) ).
tcf(c_8173,plain,
! [X0: $i,X1: $i] : midpoint(s(X0,X1),X1) = X0,
inference(superposition,[status(thm)],[c_161,c_374]) ).
tcf(c_8175,plain,
! [X0: $i,X1: $i] : s_t(X0,X1,s(X1,X0)),
inference(superposition,[status(thm)],[c_374,c_1750]) ).
tcf(c_8176,plain,
! [X0: $i,X1: $i] : s_e(X0,X1,X0,s(X0,X1)),
inference(superposition,[status(thm)],[c_374,c_1804]) ).
tcf(c_8180,plain,
! [X0: $i,X1: $i] : s_t(s(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_161,c_8175]) ).
tcf(c_8183,plain,
! [X0: $i,X1: $i] : s_e(X0,s(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_161,c_8176]) ).
tcf(c_8197,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_8200,plain,
s_t(sK3,sK4,sK0),
inference(superposition,[status(thm)],[c_5723,c_73]) ).
tcf(c_8201,plain,
s_t(sK3,sK5,sK2),
inference(superposition,[status(thm)],[c_5722,c_73]) ).
tcf(c_8202,plain,
! [X0: $i,X1: $i] : s_t(X0,midpoint(X1,X0),X1),
inference(superposition,[status(thm)],[c_1750,c_73]) ).
tcf(c_8203,plain,
s_t(sK5,iPr_def_10,sK0),
inference(superposition,[status(thm)],[c_8163,c_73]) ).
tcf(c_8204,plain,
s_t(sK1,iPr_def_11,sK2),
inference(superposition,[status(thm)],[c_8165,c_73]) ).
tcf(c_8223,plain,
s(iPr_def_10,sK0) = sK5,
inference(superposition,[status(thm)],[c_5718,c_1833]) ).
tcf(c_8224,plain,
s(iPr_def_11,sK2) = sK1,
inference(superposition,[status(thm)],[c_5719,c_1833]) ).
tcf(c_8226,plain,
! [X0: $i,X1: $i] : s_e(midpoint(X0,X1),X1,midpoint(X0,X1),X0),
inference(superposition,[status(thm)],[c_1833,c_8183]) ).
tcf(c_8229,plain,
! [X0: $i,X1: $i] : s(midpoint(X0,X1),X1) = X0,
inference(superposition,[status(thm)],[c_1833,c_161]) ).
tcf(c_8231,plain,
midpoint(sK0,sK5) = iPr_def_10,
inference(superposition,[status(thm)],[c_8223,c_374]) ).
tcf(c_8232,plain,
s_e(iPr_def_10,sK5,iPr_def_10,sK0),
inference(superposition,[status(thm)],[c_8223,c_8183]) ).
tcf(c_8235,plain,
s(iPr_def_10,sK5) = sK0,
inference(superposition,[status(thm)],[c_8223,c_161]) ).
tcf(c_8237,plain,
midpoint(sK2,sK1) = iPr_def_11,
inference(superposition,[status(thm)],[c_8224,c_374]) ).
tcf(c_8238,plain,
s_e(iPr_def_11,sK1,iPr_def_11,sK2),
inference(superposition,[status(thm)],[c_8224,c_8183]) ).
tcf(c_8241,plain,
s(iPr_def_11,sK1) = sK2,
inference(superposition,[status(thm)],[c_8224,c_161]) ).
tcf(c_8255,plain,
! [X0: $i,X1: $i] : s_col(X0,X1,X1),
inference(superposition,[status(thm)],[c_100,c_94]) ).
tcf(c_8256,plain,
s_col(sK2,sK4,sK1),
inference(superposition,[status(thm)],[c_5724,c_94]) ).
tcf(c_8263,plain,
s_col(sK4,sK1,sK2),
inference(superposition,[status(thm)],[c_5724,c_95]) ).
tcf(c_8270,plain,
s_col(sK4,sK2,sK1),
inference(superposition,[status(thm)],[c_5724,c_96]) ).
tcf(c_8277,plain,
s_col(sK2,sK1,sK4),
inference(superposition,[status(thm)],[c_5724,c_97]) ).
tcf(c_8283,plain,
s_col(sK1,sK4,sK2),
inference(superposition,[status(thm)],[c_8256,c_96]) ).
tcf(c_8308,plain,
midpoint(sK5,sK0) = iPr_def_10,
inference(superposition,[status(thm)],[c_8235,c_374]) ).
tcf(c_8319,plain,
midpoint(sK1,sK2) = iPr_def_11,
inference(superposition,[status(thm)],[c_8241,c_374]) ).
tcf(c_8335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(midpoint(X0,X4),X1,midpoint(ext(X2,X1,X1,X3),X3))
| ~ s_t(X4,X1,X3)
| ~ s_e(X1,X0,X1,X4)
| ~ s_t(X0,X1,ext(X2,X1,X1,X3)) ),
inference(superposition,[status(thm)],[c_53,c_2699]) ).
tcf(c_8336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(midpoint(X1,X2),X0,midpoint(X3,X3))
| ~ s_t(X2,X0,X3)
| ~ s_t(X1,X0,X3)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_61,c_2699]) ).
tcf(c_8337,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(midpoint(X1,X2),X0,midpoint(X0,X0))
| ~ s_t(X2,X0,X0)
| ~ s_t(X1,X0,X0)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_66,c_2699]) ).
tcf(c_8338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(midpoint(X2,X3),midpoint(X0,X1),midpoint(X0,X1))
| ~ s_t(X3,midpoint(X0,X1),X1)
| ~ s_t(X2,midpoint(X0,X1),X0)
| ~ s_e(midpoint(X0,X1),X2,midpoint(X0,X1),X3) ),
inference(superposition,[status(thm)],[c_1804,c_2699]) ).
tcf(c_8339,plain,
! [X0: $i,X1: $i] :
( s_t(midpoint(X0,X1),iPr_def_10,midpoint(sK0,sK5))
| ~ s_t(X1,iPr_def_10,sK5)
| ~ s_t(X0,iPr_def_10,sK0)
| ~ s_e(iPr_def_10,X0,iPr_def_10,X1) ),
inference(superposition,[status(thm)],[c_8164,c_2699]) ).
tcf(c_8340,plain,
! [X0: $i,X1: $i] :
( s_t(midpoint(X0,X1),iPr_def_11,midpoint(sK2,sK1))
| ~ s_t(X1,iPr_def_11,sK1)
| ~ s_t(X0,iPr_def_11,sK2)
| ~ s_e(iPr_def_11,X0,iPr_def_11,X1) ),
inference(superposition,[status(thm)],[c_8166,c_2699]) ).
tcf(c_8341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(midpoint(X3,X0),X1,midpoint(X2,s(X1,X2)))
| ~ s_t(X3,X1,X2)
| ~ s_e(X1,X3,X1,X0)
| ~ s_t(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_8176,c_2699]) ).
tcf(c_8342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(midpoint(X0,X3),X1,midpoint(s(X1,X2),X2))
| ~ s_t(X3,X1,X2)
| ~ s_e(X1,X0,X1,X3)
| ~ s_t(X0,X1,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_8183,c_2699]) ).
tcf(c_8343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(midpoint(X2,X3),midpoint(X0,X1),midpoint(X1,X0))
| ~ s_t(X3,midpoint(X0,X1),X0)
| ~ s_t(X2,midpoint(X0,X1),X1)
| ~ s_e(midpoint(X0,X1),X2,midpoint(X0,X1),X3) ),
inference(superposition,[status(thm)],[c_8226,c_2699]) ).
tcf(c_8344,plain,
! [X0: $i,X1: $i] :
( s_t(midpoint(X0,X1),iPr_def_10,midpoint(sK5,sK0))
| ~ s_t(X1,iPr_def_10,sK0)
| ~ s_t(X0,iPr_def_10,sK5)
| ~ s_e(iPr_def_10,X0,iPr_def_10,X1) ),
inference(superposition,[status(thm)],[c_8232,c_2699]) ).
tcf(c_8345,plain,
! [X0: $i,X1: $i] :
( s_t(midpoint(X0,X1),iPr_def_11,midpoint(sK1,sK2))
| ~ s_t(X1,iPr_def_11,sK2)
| ~ s_t(X0,iPr_def_11,sK1)
| ~ s_e(iPr_def_11,X0,iPr_def_11,X1) ),
inference(superposition,[status(thm)],[c_8238,c_2699]) ).
tcf(c_8354,plain,
! [X0: $i,X1: $i] :
( s_t(midpoint(X0,X1),iPr_def_11,iPr_def_11)
| ~ s_t(X1,iPr_def_11,sK1)
| ~ s_t(X0,iPr_def_11,sK2)
| ~ s_e(iPr_def_11,X0,iPr_def_11,X1) ),
inference(light_normalisation,[status(thm)],[c_8340,c_8237]) ).
tcf(c_8355,plain,
! [X0: $i,X1: $i] :
( s_t(midpoint(X0,X1),iPr_def_10,iPr_def_10)
| ~ s_t(X1,iPr_def_10,sK5)
| ~ s_t(X0,iPr_def_10,sK0)
| ~ s_e(iPr_def_10,X0,iPr_def_10,X1) ),
inference(light_normalisation,[status(thm)],[c_8339,c_8231]) ).
tcf(c_8356,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(midpoint(X1,X2),X0,X0)
| ~ s_t(X2,X0,X0)
| ~ s_t(X1,X0,X0)
| ~ s_e(X0,X1,X0,X2) ),
inference(light_normalisation,[status(thm)],[c_8337,c_373]) ).
tcf(c_8406,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_8408,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,X1,X2,s(midpoint(X0,X2),X1)),
inference(superposition,[status(thm)],[c_1833,c_166]) ).
tcf(c_8409,plain,
! [X0: $i] : s_e(sK0,X0,sK5,s(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_8223,c_166]) ).
tcf(c_8410,plain,
! [X0: $i] : s_e(sK2,X0,sK1,s(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_8224,c_166]) ).
tcf(c_8411,plain,
! [X0: $i] : s_e(sK5,X0,sK0,s(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_8235,c_166]) ).
tcf(c_8412,plain,
! [X0: $i] : s_e(sK1,X0,sK2,s(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_8241,c_166]) ).
tcf(c_8413,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_8414,plain,
! [X0: $i,X1: $i] : s_e(X0,X1,s(X1,X0),X1),
inference(superposition,[status(thm)],[c_165,c_166]) ).
tcf(c_8415,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,X1,s(midpoint(X1,X2),X0),X2),
inference(superposition,[status(thm)],[c_1833,c_166]) ).
tcf(c_8416,plain,
! [X0: $i] : s_e(X0,sK0,s(iPr_def_10,X0),sK5),
inference(superposition,[status(thm)],[c_8223,c_166]) ).
tcf(c_8417,plain,
! [X0: $i] : s_e(X0,sK2,s(iPr_def_11,X0),sK1),
inference(superposition,[status(thm)],[c_8224,c_166]) ).
tcf(c_8418,plain,
! [X0: $i] : s_e(X0,sK5,s(iPr_def_10,X0),sK0),
inference(superposition,[status(thm)],[c_8235,c_166]) ).
tcf(c_8419,plain,
! [X0: $i] : s_e(X0,sK1,s(iPr_def_11,X0),sK2),
inference(superposition,[status(thm)],[c_8241,c_166]) ).
tcf(c_8433,plain,
! [X0: $i] : s_e(sK0,s(iPr_def_10,X0),sK5,X0),
inference(superposition,[status(thm)],[c_161,c_8409]) ).
tcf(c_8434,plain,
s_e(sK0,iPr_def_10,sK5,iPr_def_10),
inference(superposition,[status(thm)],[c_165,c_8409]) ).
tcf(c_8435,plain,
s_e(sK0,sK0,sK5,sK5),
inference(superposition,[status(thm)],[c_8223,c_8409]) ).
tcf(c_8436,plain,
s_e(sK0,sK5,sK5,sK0),
inference(superposition,[status(thm)],[c_8235,c_8409]) ).
tcf(c_8438,plain,
! [X0: $i] : s_e(sK2,s(iPr_def_11,X0),sK1,X0),
inference(superposition,[status(thm)],[c_161,c_8410]) ).
tcf(c_8439,plain,
s_e(sK2,iPr_def_11,sK1,iPr_def_11),
inference(superposition,[status(thm)],[c_165,c_8410]) ).
tcf(c_8440,plain,
s_e(sK2,sK2,sK1,sK1),
inference(superposition,[status(thm)],[c_8224,c_8410]) ).
tcf(c_8441,plain,
s_e(sK2,sK1,sK1,sK2),
inference(superposition,[status(thm)],[c_8241,c_8410]) ).
tcf(c_8443,plain,
! [X0: $i] : s_e(sK5,s(iPr_def_10,X0),sK0,X0),
inference(superposition,[status(thm)],[c_161,c_8411]) ).
tcf(c_8444,plain,
s_e(sK5,iPr_def_10,sK0,iPr_def_10),
inference(superposition,[status(thm)],[c_165,c_8411]) ).
tcf(c_8445,plain,
s_e(sK5,sK0,sK0,sK5),
inference(superposition,[status(thm)],[c_8223,c_8411]) ).
tcf(c_8446,plain,
s_e(sK5,sK5,sK0,sK0),
inference(superposition,[status(thm)],[c_8235,c_8411]) ).
tcf(c_8448,plain,
! [X0: $i] : s_e(sK1,s(iPr_def_11,X0),sK2,X0),
inference(superposition,[status(thm)],[c_161,c_8412]) ).
tcf(c_8449,plain,
s_e(sK1,iPr_def_11,sK2,iPr_def_11),
inference(superposition,[status(thm)],[c_165,c_8412]) ).
tcf(c_8450,plain,
s_e(sK1,sK2,sK2,sK1),
inference(superposition,[status(thm)],[c_8224,c_8412]) ).
tcf(c_8451,plain,
s_e(sK1,sK1,sK2,sK2),
inference(superposition,[status(thm)],[c_8241,c_8412]) ).
tcf(c_8453,plain,
! [X0: $i,X1: $i] : s_e(s(X0,X1),X0,X1,X0),
inference(superposition,[status(thm)],[c_161,c_8414]) ).
tcf(c_8455,plain,
! [X0: $i,X1: $i] : s_e(X0,midpoint(X0,X1),X1,midpoint(X0,X1)),
inference(superposition,[status(thm)],[c_1833,c_8414]) ).
tcf(c_8462,plain,
! [X0: $i] : s_e(s(iPr_def_10,X0),sK0,X0,sK5),
inference(superposition,[status(thm)],[c_161,c_8416]) ).
tcf(c_8467,plain,
! [X0: $i] : s_e(s(iPr_def_11,X0),sK2,X0,sK1),
inference(superposition,[status(thm)],[c_161,c_8417]) ).
tcf(c_8472,plain,
! [X0: $i] : s_e(s(iPr_def_10,X0),sK5,X0,sK0),
inference(superposition,[status(thm)],[c_161,c_8418]) ).
tcf(c_8479,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,X1,X2,s(midpoint(X2,X0),X1)),
inference(superposition,[status(thm)],[c_1833,c_8406]) ).
tcf(c_8484,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(s(X0,X1),s(X0,X2),X1,X2),
inference(superposition,[status(thm)],[c_161,c_8406]) ).
tcf(c_8486,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(s(midpoint(X0,X1),X2),X0,X2,X1),
inference(superposition,[status(thm)],[c_1833,c_8406]) ).
tcf(c_8490,plain,
! [X0: $i] : s_e(s(iPr_def_11,X0),sK1,X0,sK2),
inference(superposition,[status(thm)],[c_8241,c_8406]) ).
tcf(c_8498,plain,
! [X0: $i,X1: $i] : s_r(X0,X0,X1),
inference(superposition,[status(thm)],[c_183,c_180]) ).
tcf(c_8508,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_251]) ).
tcf(c_8511,plain,
s_col(sK0,sK4,sK3),
inference(superposition,[status(thm)],[c_5723,c_251]) ).
tcf(c_8512,plain,
s_col(sK2,sK5,sK3),
inference(superposition,[status(thm)],[c_5722,c_251]) ).
tcf(c_8513,plain,
! [X0: $i,X1: $i] : s_col(X0,midpoint(X0,X1),X1),
inference(superposition,[status(thm)],[c_1750,c_251]) ).
tcf(c_8514,plain,
s_col(sK0,iPr_def_10,sK5),
inference(superposition,[status(thm)],[c_8163,c_251]) ).
tcf(c_8515,plain,
s_col(sK2,iPr_def_11,sK1),
inference(superposition,[status(thm)],[c_8165,c_251]) ).
tcf(c_8516,plain,
! [X0: $i,X1: $i] : s_col(X0,X1,s(X1,X0)),
inference(superposition,[status(thm)],[c_8175,c_251]) ).
tcf(c_8517,plain,
! [X0: $i,X1: $i] : s_col(s(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_8180,c_251]) ).
tcf(c_8518,plain,
s_col(sK3,sK4,sK0),
inference(superposition,[status(thm)],[c_8200,c_251]) ).
tcf(c_8519,plain,
s_col(sK3,sK5,sK2),
inference(superposition,[status(thm)],[c_8201,c_251]) ).
tcf(c_8520,plain,
! [X0: $i,X1: $i] : s_col(X0,midpoint(X1,X0),X1),
inference(superposition,[status(thm)],[c_8202,c_251]) ).
tcf(c_8521,plain,
s_col(sK5,iPr_def_10,sK0),
inference(superposition,[status(thm)],[c_8203,c_251]) ).
tcf(c_8522,plain,
s_col(sK1,iPr_def_11,sK2),
inference(superposition,[status(thm)],[c_8204,c_251]) ).
tcf(c_8531,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_252]) ).
tcf(c_8534,plain,
s_col(sK3,sK0,sK4),
inference(superposition,[status(thm)],[c_5723,c_252]) ).
tcf(c_8535,plain,
s_col(sK3,sK2,sK5),
inference(superposition,[status(thm)],[c_5722,c_252]) ).
tcf(c_8536,plain,
! [X0: $i,X1: $i] : s_col(X0,X1,midpoint(X1,X0)),
inference(superposition,[status(thm)],[c_1750,c_252]) ).
tcf(c_8537,plain,
s_col(sK5,sK0,iPr_def_10),
inference(superposition,[status(thm)],[c_8163,c_252]) ).
tcf(c_8538,plain,
s_col(sK1,sK2,iPr_def_11),
inference(superposition,[status(thm)],[c_8165,c_252]) ).
tcf(c_8539,plain,
! [X0: $i,X1: $i] : s_col(s(X0,X1),X1,X0),
inference(superposition,[status(thm)],[c_8175,c_252]) ).
tcf(c_8540,plain,
! [X0: $i,X1: $i] : s_col(X0,s(X1,X0),X1),
inference(superposition,[status(thm)],[c_8180,c_252]) ).
tcf(c_8541,plain,
s_col(sK0,sK3,sK4),
inference(superposition,[status(thm)],[c_8200,c_252]) ).
tcf(c_8542,plain,
s_col(sK2,sK3,sK5),
inference(superposition,[status(thm)],[c_8201,c_252]) ).
tcf(c_8543,plain,
! [X0: $i,X1: $i] : s_col(X0,X1,midpoint(X0,X1)),
inference(superposition,[status(thm)],[c_8202,c_252]) ).
tcf(c_8544,plain,
s_col(sK0,sK5,iPr_def_10),
inference(superposition,[status(thm)],[c_8203,c_252]) ).
tcf(c_8545,plain,
s_col(sK2,sK1,iPr_def_11),
inference(superposition,[status(thm)],[c_8204,c_252]) ).
tcf(c_8552,plain,
s_col(sK4,sK0,sK3),
inference(superposition,[status(thm)],[c_8511,c_97]) ).
tcf(c_8555,plain,
s_col(sK4,sK3,sK0),
inference(superposition,[status(thm)],[c_8511,c_94]) ).
tcf(c_8557,plain,
s_col(sK5,sK2,sK3),
inference(superposition,[status(thm)],[c_8512,c_97]) ).
tcf(c_8560,plain,
s_col(sK5,sK3,sK2),
inference(superposition,[status(thm)],[c_8512,c_94]) ).
tcf(c_8562,plain,
s_col(iPr_def_10,sK0,sK5),
inference(superposition,[status(thm)],[c_8514,c_97]) ).
tcf(c_8565,plain,
s_col(iPr_def_10,sK5,sK0),
inference(superposition,[status(thm)],[c_8514,c_94]) ).
tcf(c_8606,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,s(midpoint(X0,X1),X2),X1,X2),
inference(superposition,[status(thm)],[c_161,c_8408]) ).
tcf(c_8615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(midpoint(X3,X0),X1,midpoint(X2,s(midpoint(X1,X1),X2)))
| ~ s_t(X3,X1,X2)
| ~ s_e(X1,X3,X1,X0)
| ~ s_t(X0,X1,s(midpoint(X1,X1),X2)) ),
inference(superposition,[status(thm)],[c_8408,c_2699]) ).
tcf(c_8626,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_253]) ).
tcf(c_8631,plain,
! [X0: $i,X1: $i] : s_col(midpoint(X0,X1),X1,X0),
inference(superposition,[status(thm)],[c_1750,c_253]) ).
tcf(c_8633,plain,
s_col(iPr_def_11,sK1,sK2),
inference(superposition,[status(thm)],[c_8165,c_253]) ).
tcf(c_8634,plain,
! [X0: $i,X1: $i] : s_col(X0,s(X0,X1),X1),
inference(superposition,[status(thm)],[c_8175,c_253]) ).
tcf(c_8635,plain,
! [X0: $i,X1: $i] : s_col(X0,X1,s(X0,X1)),
inference(superposition,[status(thm)],[c_8180,c_253]) ).
tcf(c_8638,plain,
! [X0: $i,X1: $i] : s_col(midpoint(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_8202,c_253]) ).
tcf(c_8640,plain,
s_col(iPr_def_11,sK2,sK1),
inference(superposition,[status(thm)],[c_8204,c_253]) ).
tcf(c_8648,plain,
! [X0: $i,X1: $i,X2: $i] : ext(X0,X1,X2,X2) = X1,
inference(superposition,[status(thm)],[c_53,c_69]) ).
tcf(c_8665,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_8668,plain,
~ sameside(sK0,sK4,sK3),
inference(superposition,[status(thm)],[c_5723,c_133]) ).
tcf(c_8669,plain,
~ sameside(sK2,sK5,sK3),
inference(superposition,[status(thm)],[c_5722,c_133]) ).
tcf(c_8670,plain,
! [X0: $i,X1: $i] : ~ sameside(X0,midpoint(X0,X1),X1),
inference(superposition,[status(thm)],[c_1750,c_133]) ).
tcf(c_8671,plain,
~ sameside(sK0,iPr_def_10,sK5),
inference(superposition,[status(thm)],[c_8163,c_133]) ).
tcf(c_8672,plain,
~ sameside(sK2,iPr_def_11,sK1),
inference(superposition,[status(thm)],[c_8165,c_133]) ).
tcf(c_8673,plain,
! [X0: $i,X1: $i] : ~ sameside(X0,X1,s(X1,X0)),
inference(superposition,[status(thm)],[c_8175,c_133]) ).
tcf(c_8674,plain,
! [X0: $i,X1: $i] : ~ sameside(s(X0,X1),X0,X1),
inference(superposition,[status(thm)],[c_8180,c_133]) ).
tcf(c_8675,plain,
~ sameside(sK3,sK4,sK0),
inference(superposition,[status(thm)],[c_8200,c_133]) ).
tcf(c_8676,plain,
~ sameside(sK3,sK5,sK2),
inference(superposition,[status(thm)],[c_8201,c_133]) ).
tcf(c_8677,plain,
! [X0: $i,X1: $i] : ~ sameside(X0,midpoint(X1,X0),X1),
inference(superposition,[status(thm)],[c_8202,c_133]) ).
tcf(c_8678,plain,
~ sameside(sK5,iPr_def_10,sK0),
inference(superposition,[status(thm)],[c_8203,c_133]) ).
tcf(c_8679,plain,
~ sameside(sK1,iPr_def_11,sK2),
inference(superposition,[status(thm)],[c_8204,c_133]) ).
tcf(c_8726,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,X1,s(midpoint(X2,X1),X0),X2),
inference(superposition,[status(thm)],[c_1833,c_8413]) ).
tcf(c_8752,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_8756,plain,
s_e(sK2,sK5,sK1,sK0),
inference(superposition,[status(thm)],[c_5721,c_62]) ).
tcf(c_8766,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,s(midpoint(X1,X0),X2),X1,X2),
inference(superposition,[status(thm)],[c_8408,c_62]) ).
tcf(c_8786,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_8789,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,X1,s(X2,X1),s(X2,X0)),
inference(superposition,[status(thm)],[c_166,c_64]) ).
tcf(c_8790,plain,
s_e(sK0,sK1,sK2,sK5),
inference(superposition,[status(thm)],[c_5721,c_64]) ).
tcf(c_8791,plain,
! [X0: $i,X1: $i] : s_e(X0,midpoint(X0,X1),midpoint(X0,X1),X1),
inference(superposition,[status(thm)],[c_1804,c_64]) ).
tcf(c_8792,plain,
s_e(sK0,iPr_def_10,iPr_def_10,sK5),
inference(superposition,[status(thm)],[c_8164,c_64]) ).
tcf(c_8793,plain,
s_e(sK2,iPr_def_11,iPr_def_11,sK1),
inference(superposition,[status(thm)],[c_8166,c_64]) ).
tcf(c_8794,plain,
! [X0: $i,X1: $i] : s_e(X0,X1,X1,s(X1,X0)),
inference(superposition,[status(thm)],[c_8176,c_64]) ).
tcf(c_8795,plain,
! [X0: $i,X1: $i] : s_e(s(X0,X1),X0,X0,X1),
inference(superposition,[status(thm)],[c_8183,c_64]) ).
tcf(c_8796,plain,
! [X0: $i,X1: $i] : s_e(X0,midpoint(X1,X0),midpoint(X1,X0),X1),
inference(superposition,[status(thm)],[c_8226,c_64]) ).
tcf(c_8797,plain,
s_e(sK5,iPr_def_10,iPr_def_10,sK0),
inference(superposition,[status(thm)],[c_8232,c_64]) ).
tcf(c_8798,plain,
s_e(sK1,iPr_def_11,iPr_def_11,sK2),
inference(superposition,[status(thm)],[c_8238,c_64]) ).
tcf(c_8799,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,s(X1,X2),X2,s(X1,X0)),
inference(superposition,[status(thm)],[c_8406,c_64]) ).
tcf(c_8800,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,X1,X2,s(midpoint(X1,X2),X0)),
inference(superposition,[status(thm)],[c_8408,c_64]) ).
tcf(c_8801,plain,
! [X0: $i] : s_e(X0,sK0,sK5,s(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_8409,c_64]) ).
tcf(c_8802,plain,
! [X0: $i] : s_e(X0,sK2,sK1,s(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_8410,c_64]) ).
tcf(c_8803,plain,
! [X0: $i] : s_e(X0,sK5,sK0,s(iPr_def_10,X0)),
inference(superposition,[status(thm)],[c_8411,c_64]) ).
tcf(c_8804,plain,
! [X0: $i] : s_e(X0,sK1,sK2,s(iPr_def_11,X0)),
inference(superposition,[status(thm)],[c_8412,c_64]) ).
tcf(c_8805,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(s(X0,X1),X2,s(X0,X2),X1),
inference(superposition,[status(thm)],[c_8413,c_64]) ).
tcf(c_8806,plain,
! [X0: $i,X1: $i] : s_e(X0,X1,s(X0,X1),X0),
inference(superposition,[status(thm)],[c_8414,c_64]) ).
tcf(c_8807,plain,
! [X0: $i] : s_e(sK0,X0,s(iPr_def_10,X0),sK5),
inference(superposition,[status(thm)],[c_8416,c_64]) ).
tcf(c_8808,plain,
! [X0: $i] : s_e(sK2,X0,s(iPr_def_11,X0),sK1),
inference(superposition,[status(thm)],[c_8417,c_64]) ).
tcf(c_8809,plain,
! [X0: $i] : s_e(sK5,X0,s(iPr_def_10,X0),sK0),
inference(superposition,[status(thm)],[c_8418,c_64]) ).
tcf(c_8810,plain,
s_e(iPr_def_10,sK0,sK5,iPr_def_10),
inference(superposition,[status(thm)],[c_8434,c_64]) ).
tcf(c_8811,plain,
s_e(iPr_def_11,sK2,sK1,iPr_def_11),
inference(superposition,[status(thm)],[c_8439,c_64]) ).
tcf(c_8812,plain,
s_e(iPr_def_10,sK5,sK0,iPr_def_10),
inference(superposition,[status(thm)],[c_8444,c_64]) ).
tcf(c_8813,plain,
s_e(iPr_def_11,sK1,sK2,iPr_def_11),
inference(superposition,[status(thm)],[c_8449,c_64]) ).
tcf(c_8845,plain,
s_e(sK5,sK2,sK1,sK0),
inference(superposition,[status(thm)],[c_8756,c_64]) ).
tcf(c_8848,plain,
s_e(sK2,sK5,sK0,sK1),
inference(superposition,[status(thm)],[c_8790,c_62]) ).
tcf(c_8850,plain,
s_e(sK1,sK0,sK5,sK2),
inference(superposition,[status(thm)],[c_8845,c_62]) ).
tcf(c_8851,plain,
s_e(sK5,sK2,sK0,sK1),
inference(superposition,[status(thm)],[c_8848,c_64]) ).
tcf(c_8853,plain,
s_e(sK0,sK1,sK5,sK2),
inference(superposition,[status(thm)],[c_8850,c_64]) ).
tcf(c_8873,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,X1,s(midpoint(X0,X2),X1),X2),
inference(superposition,[status(thm)],[c_8415,c_64]) ).
tcf(c_8874,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(s(midpoint(X0,X1),X2),X1,X2,X0),
inference(superposition,[status(thm)],[c_8415,c_62]) ).
tcf(c_8880,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_8885,plain,
! [X0: $i,X1: $i] : s_e(midpoint(X0,X1),X0,X1,midpoint(X0,X1)),
inference(superposition,[status(thm)],[c_1804,c_65]) ).
tcf(c_8889,plain,
! [X0: $i,X1: $i] : s_e(X0,s(X0,X1),X1,X0),
inference(superposition,[status(thm)],[c_8183,c_65]) ).
tcf(c_8890,plain,
! [X0: $i,X1: $i] : s_e(midpoint(X0,X1),X1,X0,midpoint(X0,X1)),
inference(superposition,[status(thm)],[c_8226,c_65]) ).
tcf(c_8898,plain,
! [X0: $i] : s_e(sK1,X0,s(iPr_def_11,X0),sK2),
inference(superposition,[status(thm)],[c_8412,c_65]) ).
tcf(c_8924,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_8934,plain,
! [X0: $i,X1: $i] : s_e(X0,midpoint(X1,X0),X1,midpoint(X1,X0)),
inference(superposition,[status(thm)],[c_8226,c_70]) ).
tcf(c_8974,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X0 )
| ( s(X0,X1) != X1 ) ),
inference(superposition,[status(thm)],[c_161,c_164]) ).
tcf(c_8976,plain,
! [X0: $i,X1: $i] :
( ( midpoint(X1,X0) = X1 )
| ( X0 != X1 ) ),
inference(superposition,[status(thm)],[c_1833,c_164]) ).
tcf(c_8977,plain,
( ( sK0 = iPr_def_10 )
| ( sK0 != sK5 ) ),
inference(superposition,[status(thm)],[c_8223,c_164]) ).
tcf(c_8978,plain,
( ( sK2 = iPr_def_11 )
| ( sK1 != sK2 ) ),
inference(superposition,[status(thm)],[c_8224,c_164]) ).
tcf(c_8979,plain,
( ( sK5 = iPr_def_10 )
| ( sK0 != sK5 ) ),
inference(superposition,[status(thm)],[c_8235,c_164]) ).
tcf(c_8980,plain,
( ( sK1 = iPr_def_11 )
| ( sK1 != sK2 ) ),
inference(superposition,[status(thm)],[c_8241,c_164]) ).
tcf(c_9040,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_9042,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X0,midpoint(X1,X2),X2)
| ~ s_r(X0,midpoint(X1,X2),X1) ),
inference(superposition,[status(thm)],[c_1833,c_182]) ).
tcf(c_9043,plain,
! [X0: $i] :
( s_r(X0,iPr_def_10,sK5)
| ~ s_r(X0,iPr_def_10,sK0) ),
inference(superposition,[status(thm)],[c_8223,c_182]) ).
tcf(c_9044,plain,
! [X0: $i] :
( s_r(X0,iPr_def_11,sK1)
| ~ s_r(X0,iPr_def_11,sK2) ),
inference(superposition,[status(thm)],[c_8224,c_182]) ).
tcf(c_9045,plain,
! [X0: $i] :
( s_r(X0,iPr_def_10,sK0)
| ~ s_r(X0,iPr_def_10,sK5) ),
inference(superposition,[status(thm)],[c_8235,c_182]) ).
tcf(c_9046,plain,
! [X0: $i] :
( s_r(X0,iPr_def_11,sK2)
| ~ s_r(X0,iPr_def_11,sK1) ),
inference(superposition,[status(thm)],[c_8241,c_182]) ).
tcf(c_9047,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_9048,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_9084,plain,
perp(sK1,sK2,sK0,sK1),
inference(superposition,[status(thm)],[c_5726,c_190]) ).
tcf(c_9085,plain,
perp(sK1,sK2,sK3,sK2),
inference(superposition,[status(thm)],[c_5725,c_190]) ).
tcf(c_9090,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| s_col(X0,foot(X0,X1,X2),X1) ),
inference(superposition,[status(thm)],[c_209,c_98]) ).
tcf(c_9091,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| s_col(X0,X1,foot(X1,X0,X2)) ),
inference(superposition,[status(thm)],[c_209,c_97]) ).
tcf(c_9092,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| s_col(foot(X0,X1,X2),X1,X0) ),
inference(superposition,[status(thm)],[c_209,c_96]) ).
tcf(c_9093,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| s_col(foot(X0,X1,X2),X0,X1) ),
inference(superposition,[status(thm)],[c_209,c_95]) ).
tcf(c_9094,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| s_col(X0,foot(X1,X0,X2),X1) ),
inference(superposition,[status(thm)],[c_209,c_94]) ).
tcf(c_9117,plain,
perp(sK1,sK0,sK1,sK2),
inference(superposition,[status(thm)],[c_5726,c_213]) ).
tcf(c_9118,plain,
perp(sK2,sK3,sK1,sK2),
inference(superposition,[status(thm)],[c_5725,c_213]) ).
tcf(c_9119,plain,
perp(sK2,sK1,sK0,sK1),
inference(superposition,[status(thm)],[c_9084,c_213]) ).
tcf(c_9125,plain,
perp(sK2,sK1,sK3,sK2),
inference(superposition,[status(thm)],[c_9085,c_213]) ).
tcf(c_9128,plain,
perp(sK1,sK2,sK1,sK0),
inference(superposition,[status(thm)],[c_9117,c_190]) ).
tcf(c_9130,plain,
perp(sK1,sK2,sK2,sK3),
inference(superposition,[status(thm)],[c_9118,c_190]) ).
tcf(c_9132,plain,
perp(sK0,sK1,sK2,sK1),
inference(superposition,[status(thm)],[c_9119,c_190]) ).
tcf(c_9134,plain,
perp(sK3,sK2,sK2,sK1),
inference(superposition,[status(thm)],[c_9125,c_190]) ).
tcf(c_9137,plain,
perp(sK2,sK1,sK1,sK0),
inference(superposition,[status(thm)],[c_9128,c_213]) ).
tcf(c_9139,plain,
perp(sK2,sK1,sK2,sK3),
inference(superposition,[status(thm)],[c_9130,c_213]) ).
tcf(c_9141,plain,
perp(sK1,sK0,sK2,sK1),
inference(superposition,[status(thm)],[c_9132,c_213]) ).
tcf(c_9143,plain,
perp(sK2,sK3,sK2,sK1),
inference(superposition,[status(thm)],[c_9134,c_213]) ).
tcf(c_9156,plain,
! [X0: $i] : s_e(sK0,s(iPr_def_10,X0),X0,sK5),
inference(superposition,[status(thm)],[c_8433,c_65]) ).
tcf(c_9157,plain,
! [X0: $i] : s_e(s(iPr_def_10,X0),sK0,sK5,X0),
inference(superposition,[status(thm)],[c_8433,c_64]) ).
tcf(c_9172,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,erectAux(X0,X1,X2),X1)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_219,c_98]) ).
tcf(c_9173,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,erectAux(X0,X1,X2))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_219,c_97]) ).
tcf(c_9174,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(erectAux(X0,X1,X2),X1,X0)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_219,c_96]) ).
tcf(c_9175,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(erectAux(X0,X1,X2),X0,X1)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_219,c_95]) ).
tcf(c_9176,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,erectAux(X0,X1,X2),X0)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_219,c_94]) ).
tcf(c_9203,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_9204,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_253]) ).
tcf(c_9205,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_252]) ).
tcf(c_9206,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_251]) ).
tcf(c_9207,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_9226,plain,
! [X0: $i] : s_col(X0,X0,X0),
inference(superposition,[status(thm)],[c_373,c_8513]) ).
tcf(c_9346,plain,
! [X0: $i] : s_e(sK2,s(iPr_def_11,X0),X0,sK1),
inference(superposition,[status(thm)],[c_8438,c_65]) ).
tcf(c_9347,plain,
! [X0: $i] : s_e(s(iPr_def_11,X0),sK2,sK1,X0),
inference(superposition,[status(thm)],[c_8438,c_64]) ).
tcf(c_9356,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_9357,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_253]) ).
tcf(c_9358,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_252]) ).
tcf(c_9359,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_251]) ).
tcf(c_9360,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_9379,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X0,X2)
| perp(X0,X1,X2,foot(X1,X0,X2)) ),
inference(superposition,[status(thm)],[c_210,c_213]) ).
tcf(c_9380,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X2,X0)
| perp(X0,foot(X1,X2,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_210,c_190]) ).
tcf(c_9393,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X1,X0,erect(X0,X1,X2),X0)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_218,c_213]) ).
tcf(c_9394,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(erect(X0,X1,X2),X0,X0,X1)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_218,c_190]) ).
tcf(c_9403,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_277]) ).
tcf(c_9405,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,X0,X2)
| ~ s_r(X0,midpoint(X1,X2),X1) ),
inference(superposition,[status(thm)],[c_1833,c_277]) ).
tcf(c_9406,plain,
! [X0: $i] :
( s_e(X0,sK0,X0,sK5)
| ~ s_r(X0,iPr_def_10,sK0) ),
inference(superposition,[status(thm)],[c_8223,c_277]) ).
tcf(c_9407,plain,
! [X0: $i] :
( s_e(X0,sK2,X0,sK1)
| ~ s_r(X0,iPr_def_11,sK2) ),
inference(superposition,[status(thm)],[c_8224,c_277]) ).
tcf(c_9408,plain,
! [X0: $i] :
( s_e(X0,sK5,X0,sK0)
| ~ s_r(X0,iPr_def_10,sK5) ),
inference(superposition,[status(thm)],[c_8235,c_277]) ).
tcf(c_9409,plain,
! [X0: $i] :
( s_e(X0,sK1,X0,sK2)
| ~ s_r(X0,iPr_def_11,sK1) ),
inference(superposition,[status(thm)],[c_8241,c_277]) ).
tcf(c_9410,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_277,c_70]) ).
tcf(c_9411,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_277,c_65]) ).
tcf(c_9412,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_277,c_64]) ).
tcf(c_9413,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_277,c_62]) ).
tcf(c_9414,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X1 )
| ~ s_r(s(X0,X1),X0,X1) ),
inference(superposition,[status(thm)],[c_277,c_69]) ).
tcf(c_9415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(midpoint(X4,X0),X1,midpoint(X3,s(X2,X3)))
| ~ s_r(X1,X2,X3)
| ~ s_t(X4,X1,X3)
| ~ s_e(X1,X4,X1,X0)
| ~ s_t(X0,X1,s(X2,X3)) ),
inference(superposition,[status(thm)],[c_277,c_2699]) ).
tcf(c_9489,plain,
! [X0: $i] : s_e(sK5,s(iPr_def_10,X0),X0,sK0),
inference(superposition,[status(thm)],[c_8443,c_65]) ).
tcf(c_9490,plain,
! [X0: $i] : s_e(s(iPr_def_10,X0),sK5,sK0,X0),
inference(superposition,[status(thm)],[c_8443,c_64]) ).
tcf(c_9500,plain,
! [X0: $i] : s_e(sK1,s(iPr_def_11,X0),X0,sK2),
inference(superposition,[status(thm)],[c_8448,c_65]) ).
tcf(c_9501,plain,
! [X0: $i] : s_e(s(iPr_def_11,X0),sK1,sK2,X0),
inference(superposition,[status(thm)],[c_8448,c_64]) ).
tcf(c_9561,plain,
! [X0: $i] : ~ sameside(X0,X0,X0),
inference(superposition,[status(thm)],[c_373,c_8670]) ).
tcf(c_9597,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(midpoint(X0,X2),X1,midpoint(midpoint(X1,X1),midpoint(X1,X1)))
| ~ s_e(X1,X0,X1,X2)
| ~ s_t(X2,X1,midpoint(X1,X1))
| ~ s_t(X0,X1,midpoint(X1,X1)) ),
inference(superposition,[status(thm)],[c_8455,c_2699]) ).
tcf(c_9608,plain,
! [X0: $i,X1: $i] : s_r(midpoint(X0,s(X1,X0)),X1,X0),
inference(superposition,[status(thm)],[c_1804,c_278]) ).
tcf(c_9610,plain,
! [X0: $i,X1: $i] : s_r(midpoint(s(X0,X1),X1),X0,X1),
inference(superposition,[status(thm)],[c_8226,c_278]) ).
tcf(c_9611,plain,
! [X0: $i,X1: $i] : s_r(X0,midpoint(X0,X0),X1),
inference(superposition,[status(thm)],[c_8408,c_278]) ).
tcf(c_9612,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_278]) ).
tcf(c_9614,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X0,midpoint(X1,X2),X1)
| ~ s_e(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_1833,c_278]) ).
tcf(c_9615,plain,
! [X0: $i] :
( s_r(X0,iPr_def_10,sK0)
| ~ s_e(X0,sK0,X0,sK5) ),
inference(superposition,[status(thm)],[c_8223,c_278]) ).
tcf(c_9616,plain,
! [X0: $i] :
( s_r(X0,iPr_def_11,sK2)
| ~ s_e(X0,sK2,X0,sK1) ),
inference(superposition,[status(thm)],[c_8224,c_278]) ).
tcf(c_9617,plain,
! [X0: $i] :
( s_r(X0,iPr_def_10,sK5)
| ~ s_e(X0,sK5,X0,sK0) ),
inference(superposition,[status(thm)],[c_8235,c_278]) ).
tcf(c_9618,plain,
! [X0: $i] :
( s_r(X0,iPr_def_11,sK1)
| ~ s_e(X0,sK1,X0,sK2) ),
inference(superposition,[status(thm)],[c_8241,c_278]) ).
tcf(c_9663,plain,
! [X0: $i,X1: $i] :
( sameside(X0,X1,X0)
| s_t(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_100,c_134]) ).
tcf(c_9664,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| sameside(X0,X1,foot(X0,X1,X2))
| s_t(X0,X1,foot(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_209,c_134]) ).
tcf(c_9665,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X0,X1,erectAux(X0,X1,X2))
| s_t(X0,X1,erectAux(X0,X1,X2))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_219,c_134]) ).
tcf(c_9666,plain,
( sameside(sK1,sK2,sK4)
| s_t(sK1,sK2,sK4) ),
inference(superposition,[status(thm)],[c_5724,c_134]) ).
tcf(c_9668,plain,
( sameside(sK2,sK4,sK1)
| s_t(sK2,sK4,sK1) ),
inference(superposition,[status(thm)],[c_8256,c_134]) ).
tcf(c_9669,plain,
( sameside(sK4,sK1,sK2)
| s_t(sK4,sK1,sK2) ),
inference(superposition,[status(thm)],[c_8263,c_134]) ).
tcf(c_9670,plain,
( sameside(sK4,sK2,sK1)
| s_t(sK4,sK2,sK1) ),
inference(superposition,[status(thm)],[c_8270,c_134]) ).
tcf(c_9671,plain,
( sameside(sK2,sK1,sK4)
| s_t(sK2,sK1,sK4) ),
inference(superposition,[status(thm)],[c_8277,c_134]) ).
tcf(c_9672,plain,
( sameside(sK1,sK4,sK2)
| s_t(sK1,sK4,sK2) ),
inference(superposition,[status(thm)],[c_8283,c_134]) ).
tcf(c_9685,plain,
( sameside(sK3,sK0,sK4)
| s_t(sK3,sK0,sK4) ),
inference(superposition,[status(thm)],[c_8534,c_134]) ).
tcf(c_9686,plain,
( sameside(sK3,sK2,sK5)
| s_t(sK3,sK2,sK5) ),
inference(superposition,[status(thm)],[c_8535,c_134]) ).
tcf(c_9687,plain,
! [X0: $i,X1: $i] :
( sameside(X0,X1,midpoint(X1,X0))
| s_t(X0,X1,midpoint(X1,X0)) ),
inference(superposition,[status(thm)],[c_8536,c_134]) ).
tcf(c_9688,plain,
( sameside(sK5,sK0,iPr_def_10)
| s_t(sK5,sK0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8537,c_134]) ).
tcf(c_9689,plain,
( sameside(sK1,sK2,iPr_def_11)
| s_t(sK1,sK2,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8538,c_134]) ).
tcf(c_9690,plain,
! [X0: $i,X1: $i] :
( sameside(s(X0,X1),X1,X0)
| s_t(s(X0,X1),X1,X0) ),
inference(superposition,[status(thm)],[c_8539,c_134]) ).
tcf(c_9691,plain,
! [X0: $i,X1: $i] :
( sameside(X0,s(X1,X0),X1)
| s_t(X0,s(X1,X0),X1) ),
inference(superposition,[status(thm)],[c_8540,c_134]) ).
tcf(c_9692,plain,
( sameside(sK0,sK3,sK4)
| s_t(sK0,sK3,sK4) ),
inference(superposition,[status(thm)],[c_8541,c_134]) ).
tcf(c_9693,plain,
( sameside(sK2,sK3,sK5)
| s_t(sK2,sK3,sK5) ),
inference(superposition,[status(thm)],[c_8542,c_134]) ).
tcf(c_9694,plain,
! [X0: $i,X1: $i] :
( sameside(X0,X1,midpoint(X0,X1))
| s_t(X0,X1,midpoint(X0,X1)) ),
inference(superposition,[status(thm)],[c_8543,c_134]) ).
tcf(c_9695,plain,
( sameside(sK0,sK5,iPr_def_10)
| s_t(sK0,sK5,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8544,c_134]) ).
tcf(c_9696,plain,
( sameside(sK2,sK1,iPr_def_11)
| s_t(sK2,sK1,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8545,c_134]) ).
tcf(c_9697,plain,
( sameside(sK4,sK0,sK3)
| s_t(sK4,sK0,sK3) ),
inference(superposition,[status(thm)],[c_8552,c_134]) ).
tcf(c_9698,plain,
( sameside(sK4,sK3,sK0)
| s_t(sK4,sK3,sK0) ),
inference(superposition,[status(thm)],[c_8555,c_134]) ).
tcf(c_9699,plain,
( sameside(sK5,sK2,sK3)
| s_t(sK5,sK2,sK3) ),
inference(superposition,[status(thm)],[c_8557,c_134]) ).
tcf(c_9700,plain,
( sameside(sK5,sK3,sK2)
| s_t(sK5,sK3,sK2) ),
inference(superposition,[status(thm)],[c_8560,c_134]) ).
tcf(c_9701,plain,
( sameside(iPr_def_10,sK0,sK5)
| s_t(iPr_def_10,sK0,sK5) ),
inference(superposition,[status(thm)],[c_8562,c_134]) ).
tcf(c_9702,plain,
( sameside(iPr_def_10,sK5,sK0)
| s_t(iPr_def_10,sK5,sK0) ),
inference(superposition,[status(thm)],[c_8565,c_134]) ).
tcf(c_9703,plain,
! [X0: $i,X1: $i] :
( sameside(midpoint(X0,X1),X1,X0)
| s_t(midpoint(X0,X1),X1,X0) ),
inference(superposition,[status(thm)],[c_8631,c_134]) ).
tcf(c_9704,plain,
( sameside(iPr_def_11,sK1,sK2)
| s_t(iPr_def_11,sK1,sK2) ),
inference(superposition,[status(thm)],[c_8633,c_134]) ).
tcf(c_9705,plain,
! [X0: $i,X1: $i] :
( sameside(X0,s(X0,X1),X1)
| s_t(X0,s(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_8634,c_134]) ).
tcf(c_9706,plain,
! [X0: $i,X1: $i] :
( sameside(X0,X1,s(X0,X1))
| s_t(X0,X1,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_8635,c_134]) ).
tcf(c_9707,plain,
! [X0: $i,X1: $i] :
( sameside(midpoint(X0,X1),X0,X1)
| s_t(midpoint(X0,X1),X0,X1) ),
inference(superposition,[status(thm)],[c_8638,c_134]) ).
tcf(c_9708,plain,
( sameside(iPr_def_11,sK2,sK1)
| s_t(iPr_def_11,sK2,sK1) ),
inference(superposition,[status(thm)],[c_8640,c_134]) ).
tcf(c_9836,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(midpoint(X2,X0),X1,midpoint(X1,s(X1,X1)))
| ~ s_t(X2,X1,X1)
| ~ s_e(X1,X2,X1,X0)
| ~ s_t(X0,X1,s(X1,X1)) ),
inference(superposition,[status(thm)],[c_8794,c_2699]) ).
tcf(c_9837,plain,
! [X0: $i] : s_r(X0,X0,X0),
inference(superposition,[status(thm)],[c_8794,c_278]) ).
tcf(c_9838,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(midpoint(X2,X0),X1,midpoint(X1,s(X1,X1)))
| ~ s_e(X1,X2,X1,X0)
| ~ s_t(X0,X1,s(X1,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9836,c_72]) ).
tcf(c_9858,plain,
s_e(sK5,sK0,sK5,sK0),
inference(superposition,[status(thm)],[c_8235,c_8801]) ).
tcf(c_9863,plain,
! [X0: $i,X1: $i] :
( s_t(midpoint(X1,X0),sK5,midpoint(sK0,s(iPr_def_10,sK5)))
| ~ s_t(X1,sK5,sK0)
| ~ s_e(sK5,X1,sK5,X0)
| ~ s_t(X0,sK5,s(iPr_def_10,sK5)) ),
inference(superposition,[status(thm)],[c_8801,c_2699]) ).
tcf(c_9864,plain,
! [X0: $i,X1: $i] :
( s_t(midpoint(X0,X1),sK5,midpoint(sK0,sK0))
| ~ s_t(X1,sK5,sK0)
| ~ s_t(X0,sK5,sK0)
| ~ s_e(sK5,X0,sK5,X1) ),
inference(light_normalisation,[status(thm)],[c_9863,c_8235]) ).
tcf(c_9874,plain,
( sameside(sK4,sK2,sK1)
| s_t(sK1,sK2,sK4) ),
inference(superposition,[status(thm)],[c_9666,c_136]) ).
tcf(c_9882,plain,
( sameside(sK1,sK4,sK2)
| s_t(sK2,sK4,sK1) ),
inference(superposition,[status(thm)],[c_9668,c_136]) ).
tcf(c_9890,plain,
( sameside(sK2,sK1,sK4)
| s_t(sK4,sK1,sK2) ),
inference(superposition,[status(thm)],[c_9669,c_136]) ).
tcf(c_9898,plain,
( sameside(sK1,sK2,sK4)
| s_t(sK4,sK2,sK1) ),
inference(superposition,[status(thm)],[c_9670,c_136]) ).
tcf(c_9906,plain,
( sameside(sK4,sK1,sK2)
| s_t(sK2,sK1,sK4) ),
inference(superposition,[status(thm)],[c_9671,c_136]) ).
tcf(c_9919,plain,
( sameside(sK4,sK0,sK3)
| s_t(sK3,sK0,sK4) ),
inference(superposition,[status(thm)],[c_9685,c_136]) ).
tcf(c_9927,plain,
( sameside(sK5,sK2,sK3)
| s_t(sK3,sK2,sK5) ),
inference(superposition,[status(thm)],[c_9686,c_136]) ).
tcf(c_9947,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,X1,s(midpoint(X2,X0),X1),X2),
inference(superposition,[status(thm)],[c_8479,c_65]) ).
tcf(c_9948,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,X1,X2,s(midpoint(X2,X1),X0)),
inference(superposition,[status(thm)],[c_8479,c_64]) ).
tcf(c_9963,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_9964,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X0,X1) != X0 ) ),
inference(superposition,[status(thm)],[c_165,c_163]) ).
tcf(c_9965,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( s(midpoint(X0,X1),X2) != X1 ) ),
inference(superposition,[status(thm)],[c_1833,c_163]) ).
tcf(c_9966,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ( s(iPr_def_10,X0) != sK5 ) ),
inference(superposition,[status(thm)],[c_8223,c_163]) ).
tcf(c_9967,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ( s(iPr_def_11,X0) != sK1 ) ),
inference(superposition,[status(thm)],[c_8224,c_163]) ).
tcf(c_9968,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ( s(iPr_def_10,X0) != sK0 ) ),
inference(superposition,[status(thm)],[c_8235,c_163]) ).
tcf(c_9969,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ( s(iPr_def_11,X0) != sK2 ) ),
inference(superposition,[status(thm)],[c_8241,c_163]) ).
tcf(c_10008,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_10010,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midpoint(X1,X2) = X0 )
| ( s(X0,X1) != X2 ) ),
inference(superposition,[status(thm)],[c_1833,c_172]) ).
tcf(c_10011,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( s(X0,sK0) != sK5 ) ),
inference(superposition,[status(thm)],[c_8223,c_172]) ).
tcf(c_10012,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ( s(X0,sK2) != sK1 ) ),
inference(superposition,[status(thm)],[c_8224,c_172]) ).
tcf(c_10013,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( s(X0,sK5) != sK0 ) ),
inference(superposition,[status(thm)],[c_8235,c_172]) ).
tcf(c_10014,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ( s(X0,sK1) != sK2 ) ),
inference(superposition,[status(thm)],[c_8241,c_172]) ).
tcf(c_10048,plain,
s_e(sK1,sK2,sK1,sK2),
inference(superposition,[status(thm)],[c_8241,c_8802]) ).
tcf(c_10053,plain,
! [X0: $i,X1: $i] :
( s_t(midpoint(X1,X0),sK1,midpoint(sK2,s(iPr_def_11,sK1)))
| ~ s_t(X1,sK1,sK2)
| ~ s_e(sK1,X1,sK1,X0)
| ~ s_t(X0,sK1,s(iPr_def_11,sK1)) ),
inference(superposition,[status(thm)],[c_8802,c_2699]) ).
tcf(c_10054,plain,
! [X0: $i,X1: $i] :
( s_t(midpoint(X0,X1),sK1,midpoint(sK2,sK2))
| ~ s_t(X1,sK1,sK2)
| ~ s_t(X0,sK1,sK2)
| ~ s_e(sK1,X0,sK1,X1) ),
inference(light_normalisation,[status(thm)],[c_10053,c_8241]) ).
tcf(c_10067,plain,
s_e(sK0,sK5,sK0,sK5),
inference(superposition,[status(thm)],[c_8223,c_8803]) ).
tcf(c_10073,plain,
! [X0: $i,X1: $i] :
( s_t(midpoint(X1,X0),sK0,midpoint(sK5,s(iPr_def_10,sK0)))
| ~ s_t(X1,sK0,sK5)
| ~ s_e(sK0,X1,sK0,X0)
| ~ s_t(X0,sK0,s(iPr_def_10,sK0)) ),
inference(superposition,[status(thm)],[c_8803,c_2699]) ).
tcf(c_10074,plain,
! [X0: $i,X1: $i] :
( s_t(midpoint(X0,X1),sK0,midpoint(sK5,sK5))
| ~ s_t(X1,sK0,sK5)
| ~ s_t(X0,sK0,sK5)
| ~ s_e(sK0,X0,sK0,X1) ),
inference(light_normalisation,[status(thm)],[c_10073,c_8223]) ).
tcf(c_10082,plain,
s_e(sK2,sK1,sK2,sK1),
inference(superposition,[status(thm)],[c_8224,c_8804]) ).
tcf(c_10088,plain,
! [X0: $i,X1: $i] :
( s_t(midpoint(X1,X0),sK2,midpoint(sK1,s(iPr_def_11,sK2)))
| ~ s_t(X1,sK2,sK1)
| ~ s_e(sK2,X1,sK2,X0)
| ~ s_t(X0,sK2,s(iPr_def_11,sK2)) ),
inference(superposition,[status(thm)],[c_8804,c_2699]) ).
tcf(c_10089,plain,
! [X0: $i,X1: $i] :
( s_t(midpoint(X0,X1),sK2,midpoint(sK1,sK1))
| ~ s_t(X1,sK2,sK1)
| ~ s_t(X0,sK2,sK1)
| ~ s_e(sK2,X0,sK2,X1) ),
inference(light_normalisation,[status(thm)],[c_10088,c_8224]) ).
tcf(c_10110,plain,
( sameside(sK2,sK4,sK1)
| s_t(sK1,sK4,sK2) ),
inference(superposition,[status(thm)],[c_9672,c_136]) ).
tcf(c_10118,plain,
( sameside(sK4,sK3,sK0)
| s_t(sK0,sK3,sK4) ),
inference(superposition,[status(thm)],[c_9692,c_136]) ).
tcf(c_10126,plain,
( sameside(sK5,sK3,sK2)
| s_t(sK2,sK3,sK5) ),
inference(superposition,[status(thm)],[c_9693,c_136]) ).
tcf(c_10134,plain,
( sameside(sK3,sK0,sK4)
| s_t(sK4,sK0,sK3) ),
inference(superposition,[status(thm)],[c_9697,c_136]) ).
tcf(c_10148,plain,
( sameside(sK0,sK3,sK4)
| s_t(sK4,sK3,sK0) ),
inference(superposition,[status(thm)],[c_9698,c_136]) ).
tcf(c_10156,plain,
( sameside(sK3,sK2,sK5)
| s_t(sK5,sK2,sK3) ),
inference(superposition,[status(thm)],[c_9699,c_136]) ).
tcf(c_10164,plain,
( sameside(sK2,sK3,sK5)
| s_t(sK5,sK3,sK2) ),
inference(superposition,[status(thm)],[c_9700,c_136]) ).
tcf(c_10189,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(s(X0,X1),s(X0,X2),X2,X1),
inference(superposition,[status(thm)],[c_8484,c_65]) ).
tcf(c_10207,plain,
! [X0: $i,X1: $i] :
( s_t(X1,X0,X0)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_135,c_264]) ).
tcf(c_10210,plain,
( s_t(sK4,sK1,sK2)
| s_t(sK1,sK4,sK2)
| s_t(sK1,sK2,sK4) ),
inference(superposition,[status(thm)],[c_9669,c_264]) ).
tcf(c_10211,plain,
( s_t(sK2,sK4,sK1)
| s_t(sK2,sK1,sK4)
| s_t(sK1,sK2,sK4) ),
inference(superposition,[status(thm)],[c_9874,c_264]) ).
tcf(c_10212,plain,
( s_t(sK4,sK2,sK1)
| s_t(sK2,sK4,sK1)
| s_t(sK2,sK1,sK4) ),
inference(superposition,[status(thm)],[c_9670,c_264]) ).
tcf(c_10213,plain,
( s_t(sK2,sK1,sK4)
| s_t(sK1,sK4,sK2)
| s_t(sK1,sK2,sK4) ),
inference(superposition,[status(thm)],[c_9671,c_264]) ).
tcf(c_10214,plain,
( s_t(sK4,sK2,sK1)
| s_t(sK4,sK1,sK2)
| s_t(sK2,sK4,sK1) ),
inference(superposition,[status(thm)],[c_9882,c_264]) ).
tcf(c_10215,plain,
( s_t(sK4,sK2,sK1)
| s_t(sK4,sK1,sK2)
| s_t(sK1,sK4,sK2) ),
inference(superposition,[status(thm)],[c_9672,c_264]) ).
tcf(c_10256,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_10259,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_10260,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_10261,plain,
( ( sK0 = sK4 )
| ~ s_t(sK4,sK0,sK3) ),
inference(superposition,[status(thm)],[c_5723,c_75]) ).
tcf(c_10262,plain,
( ( sK2 = sK5 )
| ~ s_t(sK5,sK2,sK3) ),
inference(superposition,[status(thm)],[c_5722,c_75]) ).
tcf(c_10263,plain,
! [X0: $i,X1: $i] :
( ( midpoint(X0,X1) = X0 )
| ~ s_t(midpoint(X0,X1),X0,X1) ),
inference(superposition,[status(thm)],[c_1750,c_75]) ).
tcf(c_10264,plain,
( ( sK0 = iPr_def_10 )
| ~ s_t(iPr_def_10,sK0,sK5) ),
inference(superposition,[status(thm)],[c_8163,c_75]) ).
tcf(c_10265,plain,
( ( sK2 = iPr_def_11 )
| ~ s_t(iPr_def_11,sK2,sK1) ),
inference(superposition,[status(thm)],[c_8165,c_75]) ).
tcf(c_10266,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ s_t(X0,X1,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_8175,c_75]) ).
tcf(c_10267,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X0 )
| ~ s_t(X0,s(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_8180,c_75]) ).
tcf(c_10268,plain,
( ( sK3 = sK4 )
| ~ s_t(sK4,sK3,sK0) ),
inference(superposition,[status(thm)],[c_8200,c_75]) ).
tcf(c_10269,plain,
( ( sK3 = sK5 )
| ~ s_t(sK5,sK3,sK2) ),
inference(superposition,[status(thm)],[c_8201,c_75]) ).
tcf(c_10270,plain,
! [X0: $i,X1: $i] :
( ( midpoint(X0,X1) = X1 )
| ~ s_t(midpoint(X0,X1),X1,X0) ),
inference(superposition,[status(thm)],[c_8202,c_75]) ).
tcf(c_10271,plain,
( ( sK5 = iPr_def_10 )
| ~ s_t(iPr_def_10,sK5,sK0) ),
inference(superposition,[status(thm)],[c_8203,c_75]) ).
tcf(c_10272,plain,
( ( sK1 = iPr_def_11 )
| ~ s_t(iPr_def_11,sK1,sK2) ),
inference(superposition,[status(thm)],[c_8204,c_75]) ).
tcf(c_10359,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(midpoint(X0,X2),X1,midpoint(s(X1,X1),X1))
| ~ s_t(X2,X1,X1)
| ~ s_e(X1,X0,X1,X2)
| ~ s_t(X0,X1,s(X1,X1)) ),
inference(superposition,[status(thm)],[c_8889,c_2699]) ).
tcf(c_10360,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(midpoint(X0,X2),X1,midpoint(s(X1,X1),X1))
| ~ s_e(X1,X0,X1,X2)
| ~ s_t(X0,X1,s(X1,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10359,c_72]) ).
tcf(c_10427,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(s(midpoint(X0,X1),X2),X0,X1,X2),
inference(superposition,[status(thm)],[c_8486,c_65]) ).
tcf(c_10428,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,s(midpoint(X0,X1),X2),X2,X1),
inference(superposition,[status(thm)],[c_8486,c_64]) ).
tcf(c_10437,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_10438,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_10440,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_10441,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_10442,plain,
! [X0: $i] :
( s_t(sK0,sK4,X0)
| ~ s_t(sK4,X0,sK3) ),
inference(superposition,[status(thm)],[c_5723,c_76]) ).
tcf(c_10443,plain,
! [X0: $i] :
( s_t(sK2,sK5,X0)
| ~ s_t(sK5,X0,sK3) ),
inference(superposition,[status(thm)],[c_5722,c_76]) ).
tcf(c_10444,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,midpoint(X0,X1),X2)
| ~ s_t(midpoint(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_1750,c_76]) ).
tcf(c_10445,plain,
! [X0: $i] :
( s_t(sK0,iPr_def_10,X0)
| ~ s_t(iPr_def_10,X0,sK5) ),
inference(superposition,[status(thm)],[c_8163,c_76]) ).
tcf(c_10446,plain,
! [X0: $i] :
( s_t(sK2,iPr_def_11,X0)
| ~ s_t(iPr_def_11,X0,sK1) ),
inference(superposition,[status(thm)],[c_8165,c_76]) ).
tcf(c_10447,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,X1)
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_8175,c_76]) ).
tcf(c_10448,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,X2),X0,X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8180,c_76]) ).
tcf(c_10449,plain,
! [X0: $i] :
( s_t(sK3,sK4,X0)
| ~ s_t(sK4,X0,sK0) ),
inference(superposition,[status(thm)],[c_8200,c_76]) ).
tcf(c_10450,plain,
! [X0: $i] :
( s_t(sK3,sK5,X0)
| ~ s_t(sK5,X0,sK2) ),
inference(superposition,[status(thm)],[c_8201,c_76]) ).
tcf(c_10451,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,midpoint(X0,X1),X2)
| ~ s_t(midpoint(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_8202,c_76]) ).
tcf(c_10452,plain,
! [X0: $i] :
( s_t(sK5,iPr_def_10,X0)
| ~ s_t(iPr_def_10,X0,sK0) ),
inference(superposition,[status(thm)],[c_8203,c_76]) ).
tcf(c_10453,plain,
! [X0: $i] :
( s_t(sK1,iPr_def_11,X0)
| ~ s_t(iPr_def_11,X0,sK2) ),
inference(superposition,[status(thm)],[c_8204,c_76]) ).
tcf(c_10515,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_10516,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_10518,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_10519,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_10520,plain,
! [X0: $i] :
( s_t(sK4,sK3,X0)
| ~ s_t(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_5723,c_77]) ).
tcf(c_10521,plain,
! [X0: $i] :
( s_t(sK5,sK3,X0)
| ~ s_t(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_5722,c_77]) ).
tcf(c_10522,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(midpoint(X0,X1),X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1750,c_77]) ).
tcf(c_10523,plain,
! [X0: $i] :
( s_t(iPr_def_10,sK5,X0)
| ~ s_t(sK0,sK5,X0) ),
inference(superposition,[status(thm)],[c_8163,c_77]) ).
tcf(c_10524,plain,
! [X0: $i] :
( s_t(iPr_def_11,sK1,X0)
| ~ s_t(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_8165,c_77]) ).
tcf(c_10525,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_8175,c_77]) ).
tcf(c_10526,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,X2)
| ~ s_t(s(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_8180,c_77]) ).
tcf(c_10527,plain,
! [X0: $i] :
( s_t(sK4,sK0,X0)
| ~ s_t(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_8200,c_77]) ).
tcf(c_10528,plain,
! [X0: $i] :
( s_t(sK5,sK2,X0)
| ~ s_t(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_8201,c_77]) ).
tcf(c_10529,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(midpoint(X1,X0),X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8202,c_77]) ).
tcf(c_10530,plain,
! [X0: $i] :
( s_t(iPr_def_10,sK0,X0)
| ~ s_t(sK5,sK0,X0) ),
inference(superposition,[status(thm)],[c_8203,c_77]) ).
tcf(c_10531,plain,
! [X0: $i] :
( s_t(iPr_def_11,sK2,X0)
| ~ s_t(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_8204,c_77]) ).
tcf(c_10598,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_10599,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_10601,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_10602,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_10603,plain,
! [X0: $i] :
( s_t(sK0,X0,sK3)
| ~ s_t(sK4,X0,sK3) ),
inference(superposition,[status(thm)],[c_5723,c_79]) ).
tcf(c_10604,plain,
! [X0: $i] :
( s_t(sK2,X0,sK3)
| ~ s_t(sK5,X0,sK3) ),
inference(superposition,[status(thm)],[c_5722,c_79]) ).
tcf(c_10605,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,X1)
| ~ s_t(midpoint(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_1750,c_79]) ).
tcf(c_10606,plain,
! [X0: $i] :
( s_t(sK0,X0,sK5)
| ~ s_t(iPr_def_10,X0,sK5) ),
inference(superposition,[status(thm)],[c_8163,c_79]) ).
tcf(c_10607,plain,
! [X0: $i] :
( s_t(sK2,X0,sK1)
| ~ s_t(iPr_def_11,X0,sK1) ),
inference(superposition,[status(thm)],[c_8165,c_79]) ).
tcf(c_10608,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_8175,c_79]) ).
tcf(c_10609,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(s(X0,X2),X1,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8180,c_79]) ).
tcf(c_10610,plain,
! [X0: $i] :
( s_t(sK3,X0,sK0)
| ~ s_t(sK4,X0,sK0) ),
inference(superposition,[status(thm)],[c_8200,c_79]) ).
tcf(c_10611,plain,
! [X0: $i] :
( s_t(sK3,X0,sK2)
| ~ s_t(sK5,X0,sK2) ),
inference(superposition,[status(thm)],[c_8201,c_79]) ).
tcf(c_10612,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X2,X0)
| ~ s_t(midpoint(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_8202,c_79]) ).
tcf(c_10613,plain,
! [X0: $i] :
( s_t(sK5,X0,sK0)
| ~ s_t(iPr_def_10,X0,sK0) ),
inference(superposition,[status(thm)],[c_8203,c_79]) ).
tcf(c_10614,plain,
! [X0: $i] :
( s_t(sK1,X0,sK2)
| ~ s_t(iPr_def_11,X0,sK2) ),
inference(superposition,[status(thm)],[c_8204,c_79]) ).
tcf(c_10682,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_10684,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_10685,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_10686,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_10687,plain,
! [X0: $i] :
( s_t(sK0,sK4,X0)
| ~ s_t(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_5723,c_80]) ).
tcf(c_10688,plain,
! [X0: $i] :
( s_t(sK2,sK5,X0)
| ~ s_t(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_5722,c_80]) ).
tcf(c_10689,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,midpoint(X0,X1),X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1750,c_80]) ).
tcf(c_10690,plain,
! [X0: $i] :
( s_t(sK0,iPr_def_10,X0)
| ~ s_t(sK0,sK5,X0) ),
inference(superposition,[status(thm)],[c_8163,c_80]) ).
tcf(c_10691,plain,
! [X0: $i] :
( s_t(sK2,iPr_def_11,X0)
| ~ s_t(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_8165,c_80]) ).
tcf(c_10692,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,X2)
| ~ s_t(X0,s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_8175,c_80]) ).
tcf(c_10693,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_8180,c_80]) ).
tcf(c_10694,plain,
! [X0: $i] :
( s_t(sK3,sK4,X0)
| ~ s_t(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_8200,c_80]) ).
tcf(c_10695,plain,
! [X0: $i] :
( s_t(sK3,sK5,X0)
| ~ s_t(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_8201,c_80]) ).
tcf(c_10696,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,midpoint(X1,X0),X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8202,c_80]) ).
tcf(c_10697,plain,
! [X0: $i] :
( s_t(sK5,iPr_def_10,X0)
| ~ s_t(sK5,sK0,X0) ),
inference(superposition,[status(thm)],[c_8203,c_80]) ).
tcf(c_10698,plain,
! [X0: $i] :
( s_t(sK1,iPr_def_11,X0)
| ~ s_t(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_8204,c_80]) ).
tcf(c_10765,plain,
! [X0: $i,X1: $i] :
( s_t(midpoint(X0,X1),sK0,midpoint(s(iPr_def_10,sK0),sK5))
| ~ s_t(X1,sK0,sK5)
| ~ s_e(sK0,X0,sK0,X1)
| ~ s_t(X0,sK0,s(iPr_def_10,sK0)) ),
inference(superposition,[status(thm)],[c_9156,c_2699]) ).
tcf(c_10785,plain,
! [X0: $i,X1: $i] :
( s_t(midpoint(X0,X1),sK2,midpoint(s(iPr_def_11,sK2),sK1))
| ~ s_t(X1,sK2,sK1)
| ~ s_e(sK2,X0,sK2,X1)
| ~ s_t(X0,sK2,s(iPr_def_11,sK2)) ),
inference(superposition,[status(thm)],[c_9346,c_2699]) ).
tcf(c_10792,plain,
s_t(sK0,sK4,sK4),
inference(superposition,[status(thm)],[c_74,c_10442]) ).
tcf(c_10793,plain,
s_t(sK0,sK4,midpoint(sK4,sK3)),
inference(superposition,[status(thm)],[c_1750,c_10442]) ).
tcf(c_10794,plain,
s_t(sK0,sK4,midpoint(sK3,sK4)),
inference(superposition,[status(thm)],[c_8202,c_10442]) ).
tcf(c_10805,plain,
s_t(sK2,sK5,sK5),
inference(superposition,[status(thm)],[c_74,c_10443]) ).
tcf(c_10806,plain,
s_t(sK2,sK5,midpoint(sK5,sK3)),
inference(superposition,[status(thm)],[c_1750,c_10443]) ).
tcf(c_10807,plain,
s_t(sK2,sK5,midpoint(sK3,sK5)),
inference(superposition,[status(thm)],[c_8202,c_10443]) ).
tcf(c_10812,plain,
! [X0: $i,X1: $i] : s_t(sK4,sK3,ext(sK0,sK3,X0,X1)),
inference(superposition,[status(thm)],[c_52,c_10520]) ).
tcf(c_10813,plain,
s_t(sK4,sK3,sK3),
inference(superposition,[status(thm)],[c_72,c_10520]) ).
tcf(c_10814,plain,
! [X0: $i] :
( s_t(sK4,sK3,c63(sK0,sK3,X0))
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_129,c_10520]) ).
tcf(c_10815,plain,
! [X0: $i] :
( s_t(sK4,sK3,c63(X0,sK3,sK0))
| ~ sameside(X0,sK3,sK0) ),
inference(superposition,[status(thm)],[c_130,c_10520]) ).
tcf(c_10816,plain,
s_t(sK4,sK3,s(sK3,sK0)),
inference(superposition,[status(thm)],[c_8175,c_10520]) ).
tcf(c_10836,plain,
! [X0: $i,X1: $i] : s_t(sK5,sK3,ext(sK2,sK3,X0,X1)),
inference(superposition,[status(thm)],[c_52,c_10521]) ).
tcf(c_10837,plain,
s_t(sK5,sK3,sK3),
inference(superposition,[status(thm)],[c_72,c_10521]) ).
tcf(c_10838,plain,
! [X0: $i] :
( s_t(sK5,sK3,c63(sK2,sK3,X0))
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_129,c_10521]) ).
tcf(c_10839,plain,
! [X0: $i] :
( s_t(sK5,sK3,c63(X0,sK3,sK2))
| ~ sameside(X0,sK3,sK2) ),
inference(superposition,[status(thm)],[c_130,c_10521]) ).
tcf(c_10840,plain,
s_t(sK5,sK3,s(sK3,sK2)),
inference(superposition,[status(thm)],[c_8175,c_10521]) ).
tcf(c_10852,plain,
s_t(sK0,sK3,sK3),
inference(superposition,[status(thm)],[c_72,c_10603]) ).
tcf(c_10854,plain,
s_t(sK0,midpoint(sK4,sK3),sK3),
inference(superposition,[status(thm)],[c_1750,c_10603]) ).
tcf(c_10855,plain,
s_t(sK0,midpoint(sK3,sK4),sK3),
inference(superposition,[status(thm)],[c_8202,c_10603]) ).
tcf(c_10864,plain,
s_t(sK2,sK3,sK3),
inference(superposition,[status(thm)],[c_72,c_10604]) ).
tcf(c_10866,plain,
s_t(sK2,midpoint(sK5,sK3),sK3),
inference(superposition,[status(thm)],[c_1750,c_10604]) ).
tcf(c_10867,plain,
s_t(sK2,midpoint(sK3,sK5),sK3),
inference(superposition,[status(thm)],[c_8202,c_10604]) ).
tcf(c_10872,plain,
! [X0: $i,X1: $i] : s_t(sK0,sK4,ext(sK0,sK3,X0,X1)),
inference(superposition,[status(thm)],[c_52,c_10687]) ).
tcf(c_10874,plain,
! [X0: $i] :
( s_t(sK0,sK4,c63(sK0,sK3,X0))
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_129,c_10687]) ).
tcf(c_10875,plain,
! [X0: $i] :
( s_t(sK0,sK4,c63(X0,sK3,sK0))
| ~ sameside(X0,sK3,sK0) ),
inference(superposition,[status(thm)],[c_130,c_10687]) ).
tcf(c_10876,plain,
s_t(sK0,sK4,s(sK3,sK0)),
inference(superposition,[status(thm)],[c_8175,c_10687]) ).
tcf(c_10893,plain,
! [X0: $i,X1: $i] : s_t(sK2,sK5,ext(sK2,sK3,X0,X1)),
inference(superposition,[status(thm)],[c_52,c_10688]) ).
tcf(c_10895,plain,
! [X0: $i] :
( s_t(sK2,sK5,c63(sK2,sK3,X0))
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_129,c_10688]) ).
tcf(c_10896,plain,
! [X0: $i] :
( s_t(sK2,sK5,c63(X0,sK3,sK2))
| ~ sameside(X0,sK3,sK2) ),
inference(superposition,[status(thm)],[c_130,c_10688]) ).
tcf(c_10897,plain,
s_t(sK2,sK5,s(sK3,sK2)),
inference(superposition,[status(thm)],[c_8175,c_10688]) ).
tcf(c_10919,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(midpoint(X0,X3),X1,midpoint(s(midpoint(X1,X1),X2),X2))
| ~ s_t(X3,X1,X2)
| ~ s_e(X1,X0,X1,X3)
| ~ s_t(X0,X1,s(midpoint(X1,X1),X2)) ),
inference(superposition,[status(thm)],[c_8606,c_2699]) ).
tcf(c_10934,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_10935,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_10936,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_10937,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_10938,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_10939,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_10940,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_253]) ).
tcf(c_10941,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_252]) ).
tcf(c_10942,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_251]) ).
tcf(c_10943,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_10944,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK4,ins(X0,X1,sK0,sK3))
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_10687]) ).
tcf(c_10945,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,sK3,ins(X0,X1,sK0,sK3))
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_10520]) ).
tcf(c_10946,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK5,ins(X0,X1,sK2,sK3))
| ~ le(sK2,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_10688]) ).
tcf(c_10947,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,sK3,ins(X0,X1,sK2,sK3))
| ~ le(sK2,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_10521]) ).
tcf(c_11005,plain,
! [X0: $i] :
( s_t(sK4,sK2,sK1)
| sameside(sK1,sK2,X0)
| ~ sameside(sK4,sK2,X0) ),
inference(superposition,[status(thm)],[c_9898,c_137]) ).
tcf(c_11006,plain,
! [X0: $i] :
( s_t(sK1,sK2,sK4)
| sameside(sK1,sK2,X0)
| ~ sameside(sK4,sK2,X0) ),
inference(superposition,[status(thm)],[c_9666,c_137]) ).
tcf(c_11007,plain,
! [X0: $i] :
( s_t(sK2,sK4,sK1)
| sameside(sK2,sK4,X0)
| ~ sameside(sK1,sK4,X0) ),
inference(superposition,[status(thm)],[c_9668,c_137]) ).
tcf(c_11008,plain,
! [X0: $i] :
( s_t(sK2,sK1,sK4)
| sameside(sK4,sK1,X0)
| ~ sameside(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_9906,c_137]) ).
tcf(c_11009,plain,
! [X0: $i] :
( s_t(sK4,sK1,sK2)
| sameside(sK4,sK1,X0)
| ~ sameside(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_9669,c_137]) ).
tcf(c_11010,plain,
! [X0: $i] :
( s_t(sK1,sK2,sK4)
| sameside(sK4,sK2,X0)
| ~ sameside(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_9874,c_137]) ).
tcf(c_11011,plain,
! [X0: $i] :
( s_t(sK4,sK2,sK1)
| sameside(sK4,sK2,X0)
| ~ sameside(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_9670,c_137]) ).
tcf(c_11012,plain,
! [X0: $i] :
( s_t(sK4,sK1,sK2)
| sameside(sK2,sK1,X0)
| ~ sameside(sK4,sK1,X0) ),
inference(superposition,[status(thm)],[c_9890,c_137]) ).
tcf(c_11013,plain,
! [X0: $i] :
( s_t(sK2,sK1,sK4)
| sameside(sK2,sK1,X0)
| ~ sameside(sK4,sK1,X0) ),
inference(superposition,[status(thm)],[c_9671,c_137]) ).
tcf(c_11014,plain,
! [X0: $i] :
( s_t(sK2,sK4,sK1)
| sameside(sK1,sK4,X0)
| ~ sameside(sK2,sK4,X0) ),
inference(superposition,[status(thm)],[c_9882,c_137]) ).
tcf(c_11015,plain,
! [X0: $i] :
( s_t(sK1,sK4,sK2)
| sameside(sK1,sK4,X0)
| ~ sameside(sK2,sK4,X0) ),
inference(superposition,[status(thm)],[c_9672,c_137]) ).
tcf(c_11016,plain,
! [X0: $i] :
( s_t(sK3,sK0,sK4)
| sameside(sK3,sK0,X0)
| ~ sameside(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_9685,c_137]) ).
tcf(c_11017,plain,
! [X0: $i] :
( s_t(sK3,sK2,sK5)
| sameside(sK3,sK2,X0)
| ~ sameside(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_9686,c_137]) ).
tcf(c_11018,plain,
! [X0: $i] :
( s_t(sK0,sK3,sK4)
| sameside(sK0,sK3,X0)
| ~ sameside(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_9692,c_137]) ).
tcf(c_11019,plain,
! [X0: $i] :
( s_t(sK2,sK3,sK5)
| sameside(sK2,sK3,X0)
| ~ sameside(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_9693,c_137]) ).
tcf(c_11020,plain,
! [X0: $i] :
( s_t(sK3,sK0,sK4)
| sameside(sK4,sK0,X0)
| ~ sameside(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_9919,c_137]) ).
tcf(c_11021,plain,
! [X0: $i] :
( s_t(sK4,sK0,sK3)
| sameside(sK4,sK0,X0)
| ~ sameside(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_9697,c_137]) ).
tcf(c_11022,plain,
! [X0: $i] :
( s_t(sK4,sK3,sK0)
| sameside(sK4,sK3,X0)
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_9698,c_137]) ).
tcf(c_11023,plain,
! [X0: $i] :
( s_t(sK5,sK2,sK3)
| sameside(sK5,sK2,X0)
| ~ sameside(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_9699,c_137]) ).
tcf(c_11024,plain,
! [X0: $i] :
( s_t(sK5,sK3,sK2)
| sameside(sK5,sK3,X0)
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_9700,c_137]) ).
tcf(c_11129,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_11139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,erectAux(X1,X2,X0),X3)
| ( X1 = X2 )
| ~ s_t(X0,erect(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_220,c_80]) ).
tcf(c_11140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X3,erect(X0,X1,X2))
| ( X0 = X1 )
| ~ s_t(erectAux(X0,X1,X2),X3,erect(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_220,c_79]) ).
tcf(c_11141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(erectAux(X1,X2,X0),erect(X1,X2,X0),X3)
| ( X1 = X2 )
| ~ s_t(X0,erect(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_220,c_77]) ).
tcf(c_11142,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,erectAux(X0,X1,X2),X3)
| ( X0 = X1 )
| ~ s_t(erectAux(X0,X1,X2),X3,erect(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_220,c_76]) ).
tcf(c_11143,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( erectAux(X0,X1,X2) = X2 )
| ~ s_t(erectAux(X0,X1,X2),X2,erect(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_220,c_75]) ).
tcf(c_11144,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ sameside(X0,erectAux(X1,X2,X0),erect(X1,X2,X0)) ),
inference(superposition,[status(thm)],[c_220,c_133]) ).
tcf(c_11145,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(erectAux(X0,X1,X2),erect(X0,X1,X2),X2)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_220,c_253]) ).
tcf(c_11146,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(erect(X0,X1,X2),X2,erectAux(X0,X1,X2))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_220,c_252]) ).
tcf(c_11147,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X2,erectAux(X0,X1,X2),erect(X0,X1,X2))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_220,c_251]) ).
tcf(c_11148,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(erect(X0,X1,X2),erectAux(X0,X1,X2),X2)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_220,c_73]) ).
tcf(c_11184,plain,
! [X0: $i] :
( s_t(sK0,sK4,X0)
| ~ s_t(sK0,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_10794,c_80]) ).
tcf(c_11185,plain,
! [X0: $i] :
( s_t(sK0,X0,midpoint(sK3,sK4))
| ~ s_t(sK4,X0,midpoint(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_10794,c_79]) ).
tcf(c_11186,plain,
! [X0: $i] :
( s_t(sK4,midpoint(sK3,sK4),X0)
| ~ s_t(sK0,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_10794,c_77]) ).
tcf(c_11187,plain,
! [X0: $i] :
( s_t(sK0,sK4,X0)
| ~ s_t(sK4,X0,midpoint(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_10794,c_76]) ).
tcf(c_11188,plain,
( ( sK0 = sK4 )
| ~ s_t(sK4,sK0,midpoint(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_10794,c_75]) ).
tcf(c_11189,plain,
~ sameside(sK0,sK4,midpoint(sK3,sK4)),
inference(superposition,[status(thm)],[c_10794,c_133]) ).
tcf(c_11190,plain,
s_col(sK4,midpoint(sK3,sK4),sK0),
inference(superposition,[status(thm)],[c_10794,c_253]) ).
tcf(c_11191,plain,
s_col(midpoint(sK3,sK4),sK0,sK4),
inference(superposition,[status(thm)],[c_10794,c_252]) ).
tcf(c_11192,plain,
s_col(sK0,sK4,midpoint(sK3,sK4)),
inference(superposition,[status(thm)],[c_10794,c_251]) ).
tcf(c_11193,plain,
s_t(midpoint(sK3,sK4),sK4,sK0),
inference(superposition,[status(thm)],[c_10794,c_73]) ).
tcf(c_11213,plain,
! [X0: $i] :
( s_t(sK2,sK5,X0)
| ~ s_t(sK2,midpoint(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_10807,c_80]) ).
tcf(c_11214,plain,
! [X0: $i] :
( s_t(sK2,X0,midpoint(sK3,sK5))
| ~ s_t(sK5,X0,midpoint(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_10807,c_79]) ).
tcf(c_11215,plain,
! [X0: $i] :
( s_t(sK5,midpoint(sK3,sK5),X0)
| ~ s_t(sK2,midpoint(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_10807,c_77]) ).
tcf(c_11216,plain,
! [X0: $i] :
( s_t(sK2,sK5,X0)
| ~ s_t(sK5,X0,midpoint(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_10807,c_76]) ).
tcf(c_11217,plain,
( ( sK2 = sK5 )
| ~ s_t(sK5,sK2,midpoint(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_10807,c_75]) ).
tcf(c_11218,plain,
~ sameside(sK2,sK5,midpoint(sK3,sK5)),
inference(superposition,[status(thm)],[c_10807,c_133]) ).
tcf(c_11219,plain,
s_col(sK5,midpoint(sK3,sK5),sK2),
inference(superposition,[status(thm)],[c_10807,c_253]) ).
tcf(c_11220,plain,
s_col(midpoint(sK3,sK5),sK2,sK5),
inference(superposition,[status(thm)],[c_10807,c_252]) ).
tcf(c_11221,plain,
s_col(sK2,sK5,midpoint(sK3,sK5)),
inference(superposition,[status(thm)],[c_10807,c_251]) ).
tcf(c_11222,plain,
s_t(midpoint(sK3,sK5),sK5,sK2),
inference(superposition,[status(thm)],[c_10807,c_73]) ).
tcf(c_11245,plain,
! [X0: $i] :
( s_t(sK4,sK3,X0)
| ~ s_t(sK4,s(sK3,sK0),X0) ),
inference(superposition,[status(thm)],[c_10816,c_80]) ).
tcf(c_11246,plain,
! [X0: $i] :
( s_t(sK4,X0,s(sK3,sK0))
| ~ s_t(sK3,X0,s(sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10816,c_79]) ).
tcf(c_11247,plain,
! [X0: $i] :
( s_t(sK3,s(sK3,sK0),X0)
| ~ s_t(sK4,s(sK3,sK0),X0) ),
inference(superposition,[status(thm)],[c_10816,c_77]) ).
tcf(c_11248,plain,
! [X0: $i] :
( s_t(sK4,sK3,X0)
| ~ s_t(sK3,X0,s(sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10816,c_76]) ).
tcf(c_11249,plain,
( ( sK3 = sK4 )
| ~ s_t(sK3,sK4,s(sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10816,c_75]) ).
tcf(c_11250,plain,
~ sameside(sK4,sK3,s(sK3,sK0)),
inference(superposition,[status(thm)],[c_10816,c_133]) ).
tcf(c_11251,plain,
s_col(sK3,s(sK3,sK0),sK4),
inference(superposition,[status(thm)],[c_10816,c_253]) ).
tcf(c_11252,plain,
s_col(s(sK3,sK0),sK4,sK3),
inference(superposition,[status(thm)],[c_10816,c_252]) ).
tcf(c_11253,plain,
s_col(sK4,sK3,s(sK3,sK0)),
inference(superposition,[status(thm)],[c_10816,c_251]) ).
tcf(c_11254,plain,
s_t(s(sK3,sK0),sK3,sK4),
inference(superposition,[status(thm)],[c_10816,c_73]) ).
tcf(c_11277,plain,
! [X0: $i] :
( s_t(sK5,sK3,X0)
| ~ s_t(sK5,s(sK3,sK2),X0) ),
inference(superposition,[status(thm)],[c_10840,c_80]) ).
tcf(c_11278,plain,
! [X0: $i] :
( s_t(sK5,X0,s(sK3,sK2))
| ~ s_t(sK3,X0,s(sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10840,c_79]) ).
tcf(c_11279,plain,
! [X0: $i] :
( s_t(sK3,s(sK3,sK2),X0)
| ~ s_t(sK5,s(sK3,sK2),X0) ),
inference(superposition,[status(thm)],[c_10840,c_77]) ).
tcf(c_11280,plain,
! [X0: $i] :
( s_t(sK5,sK3,X0)
| ~ s_t(sK3,X0,s(sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10840,c_76]) ).
tcf(c_11281,plain,
( ( sK3 = sK5 )
| ~ s_t(sK3,sK5,s(sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10840,c_75]) ).
tcf(c_11282,plain,
~ sameside(sK5,sK3,s(sK3,sK2)),
inference(superposition,[status(thm)],[c_10840,c_133]) ).
tcf(c_11283,plain,
s_col(sK3,s(sK3,sK2),sK5),
inference(superposition,[status(thm)],[c_10840,c_253]) ).
tcf(c_11284,plain,
s_col(s(sK3,sK2),sK5,sK3),
inference(superposition,[status(thm)],[c_10840,c_252]) ).
tcf(c_11285,plain,
s_col(sK5,sK3,s(sK3,sK2)),
inference(superposition,[status(thm)],[c_10840,c_251]) ).
tcf(c_11286,plain,
s_t(s(sK3,sK2),sK3,sK5),
inference(superposition,[status(thm)],[c_10840,c_73]) ).
tcf(c_11306,plain,
! [X0: $i] :
( s_t(sK0,midpoint(sK3,sK4),X0)
| ~ s_t(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_10855,c_80]) ).
tcf(c_11307,plain,
! [X0: $i] :
( s_t(sK0,X0,sK3)
| ~ s_t(midpoint(sK3,sK4),X0,sK3) ),
inference(superposition,[status(thm)],[c_10855,c_79]) ).
tcf(c_11308,plain,
! [X0: $i] :
( s_t(midpoint(sK3,sK4),sK3,X0)
| ~ s_t(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_10855,c_77]) ).
tcf(c_11309,plain,
! [X0: $i] :
( s_t(sK0,midpoint(sK3,sK4),X0)
| ~ s_t(midpoint(sK3,sK4),X0,sK3) ),
inference(superposition,[status(thm)],[c_10855,c_76]) ).
tcf(c_11310,plain,
( ( midpoint(sK3,sK4) = sK0 )
| ~ s_t(midpoint(sK3,sK4),sK0,sK3) ),
inference(superposition,[status(thm)],[c_10855,c_75]) ).
tcf(c_11311,plain,
~ sameside(sK0,midpoint(sK3,sK4),sK3),
inference(superposition,[status(thm)],[c_10855,c_133]) ).
tcf(c_11312,plain,
s_col(midpoint(sK3,sK4),sK3,sK0),
inference(superposition,[status(thm)],[c_10855,c_253]) ).
tcf(c_11313,plain,
s_col(sK3,sK0,midpoint(sK3,sK4)),
inference(superposition,[status(thm)],[c_10855,c_252]) ).
tcf(c_11314,plain,
s_col(sK0,midpoint(sK3,sK4),sK3),
inference(superposition,[status(thm)],[c_10855,c_251]) ).
tcf(c_11315,plain,
s_t(sK3,midpoint(sK3,sK4),sK0),
inference(superposition,[status(thm)],[c_10855,c_73]) ).
tcf(c_11339,plain,
! [X0: $i] :
( s_t(sK2,midpoint(sK3,sK5),X0)
| ~ s_t(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_10867,c_80]) ).
tcf(c_11340,plain,
! [X0: $i] :
( s_t(sK2,X0,sK3)
| ~ s_t(midpoint(sK3,sK5),X0,sK3) ),
inference(superposition,[status(thm)],[c_10867,c_79]) ).
tcf(c_11341,plain,
! [X0: $i] :
( s_t(midpoint(sK3,sK5),sK3,X0)
| ~ s_t(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_10867,c_77]) ).
tcf(c_11342,plain,
! [X0: $i] :
( s_t(sK2,midpoint(sK3,sK5),X0)
| ~ s_t(midpoint(sK3,sK5),X0,sK3) ),
inference(superposition,[status(thm)],[c_10867,c_76]) ).
tcf(c_11343,plain,
( ( midpoint(sK3,sK5) = sK2 )
| ~ s_t(midpoint(sK3,sK5),sK2,sK3) ),
inference(superposition,[status(thm)],[c_10867,c_75]) ).
tcf(c_11344,plain,
~ sameside(sK2,midpoint(sK3,sK5),sK3),
inference(superposition,[status(thm)],[c_10867,c_133]) ).
tcf(c_11345,plain,
s_col(midpoint(sK3,sK5),sK3,sK2),
inference(superposition,[status(thm)],[c_10867,c_253]) ).
tcf(c_11346,plain,
s_col(sK3,sK2,midpoint(sK3,sK5)),
inference(superposition,[status(thm)],[c_10867,c_252]) ).
tcf(c_11347,plain,
s_col(sK2,midpoint(sK3,sK5),sK3),
inference(superposition,[status(thm)],[c_10867,c_251]) ).
tcf(c_11348,plain,
s_t(sK3,midpoint(sK3,sK5),sK2),
inference(superposition,[status(thm)],[c_10867,c_73]) ).
tcf(c_11367,plain,
! [X0: $i] :
( s_t(sK0,sK4,X0)
| ~ s_t(sK0,s(sK3,sK0),X0) ),
inference(superposition,[status(thm)],[c_10876,c_80]) ).
tcf(c_11368,plain,
! [X0: $i] :
( s_t(sK0,X0,s(sK3,sK0))
| ~ s_t(sK4,X0,s(sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10876,c_79]) ).
tcf(c_11369,plain,
! [X0: $i] :
( s_t(sK4,s(sK3,sK0),X0)
| ~ s_t(sK0,s(sK3,sK0),X0) ),
inference(superposition,[status(thm)],[c_10876,c_77]) ).
tcf(c_11370,plain,
! [X0: $i] :
( s_t(sK0,sK4,X0)
| ~ s_t(sK4,X0,s(sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10876,c_76]) ).
tcf(c_11371,plain,
( ( sK0 = sK4 )
| ~ s_t(sK4,sK0,s(sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10876,c_75]) ).
tcf(c_11372,plain,
~ sameside(sK0,sK4,s(sK3,sK0)),
inference(superposition,[status(thm)],[c_10876,c_133]) ).
tcf(c_11373,plain,
s_col(sK4,s(sK3,sK0),sK0),
inference(superposition,[status(thm)],[c_10876,c_253]) ).
tcf(c_11374,plain,
s_col(s(sK3,sK0),sK0,sK4),
inference(superposition,[status(thm)],[c_10876,c_252]) ).
tcf(c_11375,plain,
s_col(sK0,sK4,s(sK3,sK0)),
inference(superposition,[status(thm)],[c_10876,c_251]) ).
tcf(c_11376,plain,
s_t(s(sK3,sK0),sK4,sK0),
inference(superposition,[status(thm)],[c_10876,c_73]) ).
tcf(c_11399,plain,
! [X0: $i] :
( s_t(sK2,sK5,X0)
| ~ s_t(sK2,s(sK3,sK2),X0) ),
inference(superposition,[status(thm)],[c_10897,c_80]) ).
tcf(c_11400,plain,
! [X0: $i] :
( s_t(sK2,X0,s(sK3,sK2))
| ~ s_t(sK5,X0,s(sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10897,c_79]) ).
tcf(c_11401,plain,
! [X0: $i] :
( s_t(sK5,s(sK3,sK2),X0)
| ~ s_t(sK2,s(sK3,sK2),X0) ),
inference(superposition,[status(thm)],[c_10897,c_77]) ).
tcf(c_11402,plain,
! [X0: $i] :
( s_t(sK2,sK5,X0)
| ~ s_t(sK5,X0,s(sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10897,c_76]) ).
tcf(c_11403,plain,
( ( sK2 = sK5 )
| ~ s_t(sK5,sK2,s(sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10897,c_75]) ).
tcf(c_11404,plain,
~ sameside(sK2,sK5,s(sK3,sK2)),
inference(superposition,[status(thm)],[c_10897,c_133]) ).
tcf(c_11405,plain,
s_col(sK5,s(sK3,sK2),sK2),
inference(superposition,[status(thm)],[c_10897,c_253]) ).
tcf(c_11406,plain,
s_col(s(sK3,sK2),sK2,sK5),
inference(superposition,[status(thm)],[c_10897,c_252]) ).
tcf(c_11407,plain,
s_col(sK2,sK5,s(sK3,sK2)),
inference(superposition,[status(thm)],[c_10897,c_251]) ).
tcf(c_11408,plain,
s_t(s(sK3,sK2),sK5,sK2),
inference(superposition,[status(thm)],[c_10897,c_73]) ).
tcf(c_11508,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_11509,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_11510,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_11511,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_11512,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_11513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(midpoint(X0,X4),X1,midpoint(ins(X1,X2,X1,X3),X2))
| ~ s_t(X4,X1,X2)
| ~ le(X1,X3,X1,X2)
| ~ s_e(X1,X0,X1,X4)
| ~ s_t(X0,X1,ins(X1,X2,X1,X3)) ),
inference(superposition,[status(thm)],[c_111,c_2699]) ).
tcf(c_11540,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_11543,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_11544,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_277,c_122]) ).
tcf(c_11545,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ s_t(midpoint(X0,X1),X1,X0) ),
inference(superposition,[status(thm)],[c_1804,c_122]) ).
tcf(c_11546,plain,
( ( sK0 = sK5 )
| ~ s_t(iPr_def_10,sK5,sK0) ),
inference(superposition,[status(thm)],[c_8164,c_122]) ).
tcf(c_11547,plain,
( ( sK1 = sK2 )
| ~ s_t(iPr_def_11,sK1,sK2) ),
inference(superposition,[status(thm)],[c_8166,c_122]) ).
tcf(c_11548,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X1 )
| ~ s_t(X0,s(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_8176,c_122]) ).
tcf(c_11549,plain,
! [X0: $i,X1: $i] :
( ( s(X0,X1) = X1 )
| ~ s_t(X0,X1,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_8183,c_122]) ).
tcf(c_11550,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ s_t(midpoint(X0,X1),X0,X1) ),
inference(superposition,[status(thm)],[c_8226,c_122]) ).
tcf(c_11551,plain,
( ( sK0 = sK5 )
| ~ s_t(iPr_def_10,sK0,sK5) ),
inference(superposition,[status(thm)],[c_8232,c_122]) ).
tcf(c_11552,plain,
( ( sK1 = sK2 )
| ~ s_t(iPr_def_11,sK2,sK1) ),
inference(superposition,[status(thm)],[c_8238,c_122]) ).
tcf(c_11555,plain,
! [X0: $i,X1: $i] :
( ( s(midpoint(X0,X0),X1) = X1 )
| ~ s_t(X0,s(midpoint(X0,X0),X1),X1) ),
inference(superposition,[status(thm)],[c_8479,c_122]) ).
tcf(c_11556,plain,
! [X0: $i,X1: $i] :
( ( s(midpoint(X0,X0),X1) = X1 )
| ~ s_t(X0,X1,s(midpoint(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_8606,c_122]) ).
tcf(c_11599,plain,
! [X0: $i,X1: $i] :
( s_t(X1,X0,X0)
| ~ sameside(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_115,c_141]) ).
tcf(c_11600,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_11611,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_11612,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_11613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,s(midpoint(X0,X3),X1),s(midpoint(X0,X3),X2))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1833,c_167]) ).
tcf(c_11614,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,s(iPr_def_10,X0),s(iPr_def_10,X1))
| ~ s_t(sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8223,c_167]) ).
tcf(c_11615,plain,
! [X0: $i,X1: $i] :
( s_t(sK1,s(iPr_def_11,X0),s(iPr_def_11,X1))
| ~ s_t(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_8224,c_167]) ).
tcf(c_11616,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,s(iPr_def_10,X0),s(iPr_def_10,X1))
| ~ s_t(sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_8235,c_167]) ).
tcf(c_11617,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,s(iPr_def_11,X0),s(iPr_def_11,X1))
| ~ s_t(sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_8241,c_167]) ).
tcf(c_11618,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_11619,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_11620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(midpoint(X1,X3),X0),X3,s(midpoint(X1,X3),X2))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1833,c_167]) ).
tcf(c_11621,plain,
! [X0: $i,X1: $i] :
( s_t(s(iPr_def_10,X0),sK5,s(iPr_def_10,X1))
| ~ s_t(X0,sK0,X1) ),
inference(superposition,[status(thm)],[c_8223,c_167]) ).
tcf(c_11622,plain,
! [X0: $i,X1: $i] :
( s_t(s(iPr_def_11,X0),sK1,s(iPr_def_11,X1))
| ~ s_t(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_8224,c_167]) ).
tcf(c_11623,plain,
! [X0: $i,X1: $i] :
( s_t(s(iPr_def_10,X0),sK0,s(iPr_def_10,X1))
| ~ s_t(X0,sK5,X1) ),
inference(superposition,[status(thm)],[c_8235,c_167]) ).
tcf(c_11624,plain,
! [X0: $i,X1: $i] :
( s_t(s(iPr_def_11,X0),sK2,s(iPr_def_11,X1))
| ~ s_t(X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_8241,c_167]) ).
tcf(c_11625,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_11626,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_11627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(midpoint(X2,X3),X0),s(midpoint(X2,X3),X1),X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1833,c_167]) ).
tcf(c_11628,plain,
! [X0: $i,X1: $i] :
( s_t(s(iPr_def_10,X0),s(iPr_def_10,X1),sK5)
| ~ s_t(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_8223,c_167]) ).
tcf(c_11629,plain,
! [X0: $i,X1: $i] :
( s_t(s(iPr_def_11,X0),s(iPr_def_11,X1),sK1)
| ~ s_t(X0,X1,sK2) ),
inference(superposition,[status(thm)],[c_8224,c_167]) ).
tcf(c_11630,plain,
! [X0: $i,X1: $i] :
( s_t(s(iPr_def_10,X0),s(iPr_def_10,X1),sK0)
| ~ s_t(X0,X1,sK5) ),
inference(superposition,[status(thm)],[c_8235,c_167]) ).
tcf(c_11631,plain,
! [X0: $i,X1: $i] :
( s_t(s(iPr_def_11,X0),s(iPr_def_11,X1),sK2)
| ~ s_t(X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_8241,c_167]) ).
tcf(c_11632,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_11633,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_11634,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_11635,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_11636,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_11637,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_11638,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_11639,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_253]) ).
tcf(c_11640,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_252]) ).
tcf(c_11641,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_251]) ).
tcf(c_11642,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_11738,plain,
( sameside(sK4,midpoint(sK3,sK4),sK0)
| s_t(sK4,midpoint(sK3,sK4),sK0) ),
inference(superposition,[status(thm)],[c_11190,c_134]) ).
tcf(c_11739,plain,
s_col(sK4,sK0,midpoint(sK3,sK4)),
inference(superposition,[status(thm)],[c_11190,c_98]) ).
tcf(c_11740,plain,
s_col(midpoint(sK3,sK4),sK4,sK0),
inference(superposition,[status(thm)],[c_11190,c_97]) ).
tcf(c_11741,plain,
s_col(sK0,midpoint(sK3,sK4),sK4),
inference(superposition,[status(thm)],[c_11190,c_96]) ).
tcf(c_11748,plain,
( sameside(midpoint(sK3,sK4),sK0,sK4)
| s_t(midpoint(sK3,sK4),sK0,sK4) ),
inference(superposition,[status(thm)],[c_11191,c_134]) ).
tcf(c_11762,plain,
! [X0: $i] :
( s_t(midpoint(sK3,sK4),sK4,X0)
| ~ s_t(midpoint(sK3,sK4),sK0,X0) ),
inference(superposition,[status(thm)],[c_11193,c_80]) ).
tcf(c_11763,plain,
! [X0: $i] :
( s_t(midpoint(sK3,sK4),X0,sK0)
| ~ s_t(sK4,X0,sK0) ),
inference(superposition,[status(thm)],[c_11193,c_79]) ).
tcf(c_11764,plain,
! [X0: $i] :
( s_t(sK4,sK0,X0)
| ~ s_t(midpoint(sK3,sK4),sK0,X0) ),
inference(superposition,[status(thm)],[c_11193,c_77]) ).
tcf(c_11765,plain,
! [X0: $i] :
( s_t(midpoint(sK3,sK4),sK4,X0)
| ~ s_t(sK4,X0,sK0) ),
inference(superposition,[status(thm)],[c_11193,c_76]) ).
tcf(c_11766,plain,
( ( midpoint(sK3,sK4) = sK4 )
| ~ s_t(sK4,midpoint(sK3,sK4),sK0) ),
inference(superposition,[status(thm)],[c_11193,c_75]) ).
tcf(c_11767,plain,
~ sameside(midpoint(sK3,sK4),sK4,sK0),
inference(superposition,[status(thm)],[c_11193,c_133]) ).
tcf(c_11796,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK4,sK3,X2)
| ~ s_t(sK4,ext(sK0,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10812,c_80]) ).
tcf(c_11797,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK4,X0,ext(sK0,sK3,X1,X2))
| ~ s_t(sK3,X0,ext(sK0,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10812,c_79]) ).
tcf(c_11798,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK3,ext(sK0,sK3,X0,X1),X2)
| ~ s_t(sK4,ext(sK0,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10812,c_77]) ).
tcf(c_11799,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK4,sK3,X0)
| ~ s_t(sK3,X0,ext(sK0,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10812,c_76]) ).
tcf(c_11800,plain,
! [X0: $i,X1: $i] :
( ( sK3 = sK4 )
| ~ s_t(sK3,sK4,ext(sK0,sK3,X0,X1)) ),
inference(superposition,[status(thm)],[c_10812,c_75]) ).
tcf(c_11801,plain,
! [X0: $i,X1: $i] : ~ sameside(sK4,sK3,ext(sK0,sK3,X0,X1)),
inference(superposition,[status(thm)],[c_10812,c_133]) ).
tcf(c_11802,plain,
! [X0: $i,X1: $i] : s_col(sK3,ext(sK0,sK3,X0,X1),sK4),
inference(superposition,[status(thm)],[c_10812,c_253]) ).
tcf(c_11803,plain,
! [X0: $i,X1: $i] : s_col(ext(sK0,sK3,X0,X1),sK4,sK3),
inference(superposition,[status(thm)],[c_10812,c_252]) ).
tcf(c_11804,plain,
! [X0: $i,X1: $i] : s_col(sK4,sK3,ext(sK0,sK3,X0,X1)),
inference(superposition,[status(thm)],[c_10812,c_251]) ).
tcf(c_11805,plain,
! [X0: $i,X1: $i] : s_t(ext(sK0,sK3,X0,X1),sK3,sK4),
inference(superposition,[status(thm)],[c_10812,c_73]) ).
tcf(c_11836,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK5,sK3,X2)
| ~ s_t(sK5,ext(sK2,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10836,c_80]) ).
tcf(c_11837,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK5,X0,ext(sK2,sK3,X1,X2))
| ~ s_t(sK3,X0,ext(sK2,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10836,c_79]) ).
tcf(c_11838,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK3,ext(sK2,sK3,X0,X1),X2)
| ~ s_t(sK5,ext(sK2,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10836,c_77]) ).
tcf(c_11839,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK5,sK3,X0)
| ~ s_t(sK3,X0,ext(sK2,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10836,c_76]) ).
tcf(c_11840,plain,
! [X0: $i,X1: $i] :
( ( sK3 = sK5 )
| ~ s_t(sK3,sK5,ext(sK2,sK3,X0,X1)) ),
inference(superposition,[status(thm)],[c_10836,c_75]) ).
tcf(c_11841,plain,
! [X0: $i,X1: $i] : ~ sameside(sK5,sK3,ext(sK2,sK3,X0,X1)),
inference(superposition,[status(thm)],[c_10836,c_133]) ).
tcf(c_11842,plain,
! [X0: $i,X1: $i] : s_col(sK3,ext(sK2,sK3,X0,X1),sK5),
inference(superposition,[status(thm)],[c_10836,c_253]) ).
tcf(c_11843,plain,
! [X0: $i,X1: $i] : s_col(ext(sK2,sK3,X0,X1),sK5,sK3),
inference(superposition,[status(thm)],[c_10836,c_252]) ).
tcf(c_11844,plain,
! [X0: $i,X1: $i] : s_col(sK5,sK3,ext(sK2,sK3,X0,X1)),
inference(superposition,[status(thm)],[c_10836,c_251]) ).
tcf(c_11845,plain,
! [X0: $i,X1: $i] : s_t(ext(sK2,sK3,X0,X1),sK3,sK5),
inference(superposition,[status(thm)],[c_10836,c_73]) ).
tcf(c_11892,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK4,X2)
| ~ s_t(sK0,ext(sK0,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10872,c_80]) ).
tcf(c_11893,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,X0,ext(sK0,sK3,X1,X2))
| ~ s_t(sK4,X0,ext(sK0,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10872,c_79]) ).
tcf(c_11894,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK4,ext(sK0,sK3,X0,X1),X2)
| ~ s_t(sK0,ext(sK0,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10872,c_77]) ).
tcf(c_11895,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK4,X0)
| ~ s_t(sK4,X0,ext(sK0,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10872,c_76]) ).
tcf(c_11896,plain,
! [X0: $i,X1: $i] :
( ( sK0 = sK4 )
| ~ s_t(sK4,sK0,ext(sK0,sK3,X0,X1)) ),
inference(superposition,[status(thm)],[c_10872,c_75]) ).
tcf(c_11897,plain,
! [X0: $i,X1: $i] : ~ sameside(sK0,sK4,ext(sK0,sK3,X0,X1)),
inference(superposition,[status(thm)],[c_10872,c_133]) ).
tcf(c_11898,plain,
! [X0: $i,X1: $i] : s_col(sK4,ext(sK0,sK3,X0,X1),sK0),
inference(superposition,[status(thm)],[c_10872,c_253]) ).
tcf(c_11899,plain,
! [X0: $i,X1: $i] : s_col(ext(sK0,sK3,X0,X1),sK0,sK4),
inference(superposition,[status(thm)],[c_10872,c_252]) ).
tcf(c_11900,plain,
! [X0: $i,X1: $i] : s_col(sK0,sK4,ext(sK0,sK3,X0,X1)),
inference(superposition,[status(thm)],[c_10872,c_251]) ).
tcf(c_11901,plain,
! [X0: $i,X1: $i] : s_t(ext(sK0,sK3,X0,X1),sK4,sK0),
inference(superposition,[status(thm)],[c_10872,c_73]) ).
tcf(c_11938,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,sK5,X2)
| ~ s_t(sK2,ext(sK2,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10893,c_80]) ).
tcf(c_11939,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,X0,ext(sK2,sK3,X1,X2))
| ~ s_t(sK5,X0,ext(sK2,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10893,c_79]) ).
tcf(c_11940,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK5,ext(sK2,sK3,X0,X1),X2)
| ~ s_t(sK2,ext(sK2,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10893,c_77]) ).
tcf(c_11941,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,sK5,X0)
| ~ s_t(sK5,X0,ext(sK2,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10893,c_76]) ).
tcf(c_11942,plain,
! [X0: $i,X1: $i] :
( ( sK2 = sK5 )
| ~ s_t(sK5,sK2,ext(sK2,sK3,X0,X1)) ),
inference(superposition,[status(thm)],[c_10893,c_75]) ).
tcf(c_11943,plain,
! [X0: $i,X1: $i] : ~ sameside(sK2,sK5,ext(sK2,sK3,X0,X1)),
inference(superposition,[status(thm)],[c_10893,c_133]) ).
tcf(c_11944,plain,
! [X0: $i,X1: $i] : s_col(sK5,ext(sK2,sK3,X0,X1),sK2),
inference(superposition,[status(thm)],[c_10893,c_253]) ).
tcf(c_11945,plain,
! [X0: $i,X1: $i] : s_col(ext(sK2,sK3,X0,X1),sK2,sK5),
inference(superposition,[status(thm)],[c_10893,c_252]) ).
tcf(c_11946,plain,
! [X0: $i,X1: $i] : s_col(sK2,sK5,ext(sK2,sK3,X0,X1)),
inference(superposition,[status(thm)],[c_10893,c_251]) ).
tcf(c_11947,plain,
! [X0: $i,X1: $i] : s_t(ext(sK2,sK3,X0,X1),sK5,sK2),
inference(superposition,[status(thm)],[c_10893,c_73]) ).
tcf(c_12006,plain,
s_t(sK3,sK4,sK4),
inference(superposition,[status(thm)],[c_74,c_10449]) ).
tcf(c_12007,plain,
s_t(sK3,sK4,midpoint(sK4,sK0)),
inference(superposition,[status(thm)],[c_1750,c_10449]) ).
tcf(c_12008,plain,
s_t(sK3,sK4,midpoint(sK0,sK4)),
inference(superposition,[status(thm)],[c_8202,c_10449]) ).
tcf(c_12014,plain,
s_t(sK3,sK5,sK5),
inference(superposition,[status(thm)],[c_74,c_10450]) ).
tcf(c_12015,plain,
s_t(sK3,sK5,midpoint(sK5,sK2)),
inference(superposition,[status(thm)],[c_1750,c_10450]) ).
tcf(c_12016,plain,
s_t(sK3,sK5,midpoint(sK2,sK5)),
inference(superposition,[status(thm)],[c_8202,c_10450]) ).
tcf(c_12030,plain,
! [X0: $i,X1: $i] : s_t(sK4,sK0,ext(sK3,sK0,X0,X1)),
inference(superposition,[status(thm)],[c_52,c_10527]) ).
tcf(c_12031,plain,
s_t(sK4,sK0,sK0),
inference(superposition,[status(thm)],[c_72,c_10527]) ).
tcf(c_12032,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,sK0,ins(X0,X1,sK3,sK0))
| ~ le(sK3,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_10527]) ).
tcf(c_12033,plain,
! [X0: $i] :
( s_t(sK4,sK0,c63(sK3,sK0,X0))
| ~ sameside(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_129,c_10527]) ).
tcf(c_12034,plain,
! [X0: $i] :
( s_t(sK4,sK0,c63(X0,sK0,sK3))
| ~ sameside(X0,sK0,sK3) ),
inference(superposition,[status(thm)],[c_130,c_10527]) ).
tcf(c_12035,plain,
s_t(sK4,sK0,s(sK0,sK3)),
inference(superposition,[status(thm)],[c_8175,c_10527]) ).
tcf(c_12050,plain,
! [X0: $i,X1: $i] : s_t(sK5,sK2,ext(sK3,sK2,X0,X1)),
inference(superposition,[status(thm)],[c_52,c_10528]) ).
tcf(c_12051,plain,
s_t(sK5,sK2,sK2),
inference(superposition,[status(thm)],[c_72,c_10528]) ).
tcf(c_12052,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,sK2,ins(X0,X1,sK3,sK2))
| ~ le(sK3,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_10528]) ).
tcf(c_12053,plain,
! [X0: $i] :
( s_t(sK5,sK2,c63(sK3,sK2,X0))
| ~ sameside(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_129,c_10528]) ).
tcf(c_12054,plain,
! [X0: $i] :
( s_t(sK5,sK2,c63(X0,sK2,sK3))
| ~ sameside(X0,sK2,sK3) ),
inference(superposition,[status(thm)],[c_130,c_10528]) ).
tcf(c_12055,plain,
s_t(sK5,sK2,s(sK2,sK3)),
inference(superposition,[status(thm)],[c_8175,c_10528]) ).
tcf(c_12082,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_e(X0,X1,ext(X2,X3,X1,X0),X3),
inference(superposition,[status(thm)],[c_8752,c_70]) ).
tcf(c_12083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_e(X0,X1,ext(X2,X3,X0,X1),X3),
inference(superposition,[status(thm)],[c_8752,c_65]) ).
tcf(c_12084,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : s_e(X0,X1,X2,ext(X3,X2,X1,X0)),
inference(superposition,[status(thm)],[c_8752,c_64]) ).
tcf(c_12086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(midpoint(X4,X0),X1,midpoint(X3,ext(X2,X1,X1,X3)))
| ~ s_t(X4,X1,X3)
| ~ s_e(X1,X4,X1,X0)
| ~ s_t(X0,X1,ext(X2,X1,X1,X3)) ),
inference(superposition,[status(thm)],[c_8752,c_2699]) ).
tcf(c_12087,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_8752,c_122]) ).
tcf(c_12103,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_12104,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_12105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X1,X2,X3)
| ~ s_t(X0,s(midpoint(X1,X0),X2),s(midpoint(X1,X0),X3)) ),
inference(superposition,[status(thm)],[c_1833,c_168]) ).
tcf(c_12106,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,X0,X1)
| ~ s_t(sK5,s(iPr_def_10,X0),s(iPr_def_10,X1)) ),
inference(superposition,[status(thm)],[c_8223,c_168]) ).
tcf(c_12107,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,X0,X1)
| ~ s_t(sK1,s(iPr_def_11,X0),s(iPr_def_11,X1)) ),
inference(superposition,[status(thm)],[c_8224,c_168]) ).
tcf(c_12108,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,X0,X1)
| ~ s_t(sK0,s(iPr_def_10,X0),s(iPr_def_10,X1)) ),
inference(superposition,[status(thm)],[c_8235,c_168]) ).
tcf(c_12109,plain,
! [X0: $i,X1: $i] :
( s_t(sK1,X0,X1)
| ~ s_t(sK2,s(iPr_def_11,X0),s(iPr_def_11,X1)) ),
inference(superposition,[status(thm)],[c_8241,c_168]) ).
tcf(c_12110,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_12111,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_12112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X0,X3)
| ~ s_t(s(midpoint(X0,X1),X2),X1,s(midpoint(X0,X1),X3)) ),
inference(superposition,[status(thm)],[c_1833,c_168]) ).
tcf(c_12113,plain,
! [X0: $i,X1: $i] :
( s_t(X0,sK0,X1)
| ~ s_t(s(iPr_def_10,X0),sK5,s(iPr_def_10,X1)) ),
inference(superposition,[status(thm)],[c_8223,c_168]) ).
tcf(c_12114,plain,
! [X0: $i,X1: $i] :
( s_t(X0,sK2,X1)
| ~ s_t(s(iPr_def_11,X0),sK1,s(iPr_def_11,X1)) ),
inference(superposition,[status(thm)],[c_8224,c_168]) ).
tcf(c_12115,plain,
! [X0: $i,X1: $i] :
( s_t(X0,sK5,X1)
| ~ s_t(s(iPr_def_10,X0),sK0,s(iPr_def_10,X1)) ),
inference(superposition,[status(thm)],[c_8235,c_168]) ).
tcf(c_12116,plain,
! [X0: $i,X1: $i] :
( s_t(X0,sK1,X1)
| ~ s_t(s(iPr_def_11,X0),sK2,s(iPr_def_11,X1)) ),
inference(superposition,[status(thm)],[c_8241,c_168]) ).
tcf(c_12117,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_12118,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_12119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,X3,X0)
| ~ s_t(s(midpoint(X0,X1),X2),s(midpoint(X0,X1),X3),X1) ),
inference(superposition,[status(thm)],[c_1833,c_168]) ).
tcf(c_12120,plain,
! [X0: $i,X1: $i] :
( s_t(X0,X1,sK0)
| ~ s_t(s(iPr_def_10,X0),s(iPr_def_10,X1),sK5) ),
inference(superposition,[status(thm)],[c_8223,c_168]) ).
tcf(c_12121,plain,
! [X0: $i,X1: $i] :
( s_t(X0,X1,sK2)
| ~ s_t(s(iPr_def_11,X0),s(iPr_def_11,X1),sK1) ),
inference(superposition,[status(thm)],[c_8224,c_168]) ).
tcf(c_12122,plain,
! [X0: $i,X1: $i] :
( s_t(X0,X1,sK5)
| ~ s_t(s(iPr_def_10,X0),s(iPr_def_10,X1),sK0) ),
inference(superposition,[status(thm)],[c_8235,c_168]) ).
tcf(c_12123,plain,
! [X0: $i,X1: $i] :
( s_t(X0,X1,sK1)
| ~ s_t(s(iPr_def_11,X0),s(iPr_def_11,X1),sK2) ),
inference(superposition,[status(thm)],[c_8241,c_168]) ).
tcf(c_12231,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| sameside(X0,X1,erectAux21a(X0,X1,X2))
| s_t(X0,X1,erectAux21a(X0,X1,X2))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_216,c_134]) ).
tcf(c_12232,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| s_col(X0,erectAux21a(X0,X1,X2),X1)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_216,c_98]) ).
tcf(c_12233,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| s_col(X1,X0,erectAux21a(X0,X1,X2))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_216,c_97]) ).
tcf(c_12234,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| s_col(erectAux21a(X0,X1,X2),X1,X0)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_216,c_96]) ).
tcf(c_12235,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| s_col(erectAux21a(X0,X1,X2),X0,X1)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_216,c_95]) ).
tcf(c_12236,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| s_col(X1,erectAux21a(X0,X1,X2),X0)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_216,c_94]) ).
tcf(c_12277,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_12278,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_12280,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_12281,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_12282,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_12283,plain,
! [X0: $i] :
( le(sK1,X0,sK2,sK5)
| ~ s_t(sK1,X0,sK0) ),
inference(superposition,[status(thm)],[c_5721,c_113]) ).
tcf(c_12284,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_277,c_113]) ).
tcf(c_12285,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(midpoint(X0,X1),X2,midpoint(X0,X1),X1)
| ~ s_t(midpoint(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_1804,c_113]) ).
tcf(c_12286,plain,
! [X0: $i] :
( le(iPr_def_10,X0,iPr_def_10,sK5)
| ~ s_t(iPr_def_10,X0,sK0) ),
inference(superposition,[status(thm)],[c_8164,c_113]) ).
tcf(c_12287,plain,
! [X0: $i] :
( le(iPr_def_11,X0,iPr_def_11,sK1)
| ~ s_t(iPr_def_11,X0,sK2) ),
inference(superposition,[status(thm)],[c_8166,c_113]) ).
tcf(c_12288,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,X0,s(X0,X2))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8176,c_113]) ).
tcf(c_12289,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,X0,X2)
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_8183,c_113]) ).
tcf(c_12290,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(midpoint(X0,X1),X2,midpoint(X0,X1),X0)
| ~ s_t(midpoint(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_8226,c_113]) ).
tcf(c_12291,plain,
! [X0: $i] :
( le(iPr_def_10,X0,iPr_def_10,sK0)
| ~ s_t(iPr_def_10,X0,sK5) ),
inference(superposition,[status(thm)],[c_8232,c_113]) ).
tcf(c_12292,plain,
! [X0: $i] :
( le(iPr_def_11,X0,iPr_def_11,sK2)
| ~ s_t(iPr_def_11,X0,sK1) ),
inference(superposition,[status(thm)],[c_8238,c_113]) ).
tcf(c_12293,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_8406,c_113]) ).
tcf(c_12294,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X3,s(midpoint(X0,X3),X2))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8408,c_113]) ).
tcf(c_12295,plain,
! [X0: $i,X1: $i] :
( le(sK0,X0,sK5,s(iPr_def_10,X1))
| ~ s_t(sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8409,c_113]) ).
tcf(c_12296,plain,
! [X0: $i,X1: $i] :
( le(sK2,X0,sK1,s(iPr_def_11,X1))
| ~ s_t(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_8410,c_113]) ).
tcf(c_12297,plain,
! [X0: $i,X1: $i] :
( le(sK5,X0,sK0,s(iPr_def_10,X1))
| ~ s_t(sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_8411,c_113]) ).
tcf(c_12298,plain,
! [X0: $i,X1: $i] :
( le(sK1,X0,sK2,s(iPr_def_11,X1))
| ~ s_t(sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_8412,c_113]) ).
tcf(c_12299,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_8413,c_113]) ).
tcf(c_12300,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,s(X2,X0),X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8414,c_113]) ).
tcf(c_12301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,s(midpoint(X2,X3),X0),X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8415,c_113]) ).
tcf(c_12302,plain,
! [X0: $i,X1: $i] :
( le(X0,X1,s(iPr_def_10,X0),sK5)
| ~ s_t(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_8416,c_113]) ).
tcf(c_12303,plain,
! [X0: $i,X1: $i] :
( le(X0,X1,s(iPr_def_11,X0),sK1)
| ~ s_t(X0,X1,sK2) ),
inference(superposition,[status(thm)],[c_8417,c_113]) ).
tcf(c_12304,plain,
! [X0: $i,X1: $i] :
( le(X0,X1,s(iPr_def_10,X0),sK0)
| ~ s_t(X0,X1,sK5) ),
inference(superposition,[status(thm)],[c_8418,c_113]) ).
tcf(c_12305,plain,
! [X0: $i,X1: $i] :
( le(X0,X1,s(iPr_def_11,X0),sK2)
| ~ s_t(X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_8419,c_113]) ).
tcf(c_12306,plain,
! [X0: $i,X1: $i] :
( le(sK0,X0,sK5,X1)
| ~ s_t(sK0,X0,s(iPr_def_10,X1)) ),
inference(superposition,[status(thm)],[c_8433,c_113]) ).
tcf(c_12307,plain,
! [X0: $i] :
( le(sK0,X0,sK5,iPr_def_10)
| ~ s_t(sK0,X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8434,c_113]) ).
tcf(c_12308,plain,
! [X0: $i,X1: $i] :
( le(sK2,X0,sK1,X1)
| ~ s_t(sK2,X0,s(iPr_def_11,X1)) ),
inference(superposition,[status(thm)],[c_8438,c_113]) ).
tcf(c_12309,plain,
! [X0: $i] :
( le(sK2,X0,sK1,iPr_def_11)
| ~ s_t(sK2,X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8439,c_113]) ).
tcf(c_12310,plain,
! [X0: $i,X1: $i] :
( le(sK5,X0,sK0,X1)
| ~ s_t(sK5,X0,s(iPr_def_10,X1)) ),
inference(superposition,[status(thm)],[c_8443,c_113]) ).
tcf(c_12311,plain,
! [X0: $i] :
( le(sK5,X0,sK0,iPr_def_10)
| ~ s_t(sK5,X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8444,c_113]) ).
tcf(c_12312,plain,
! [X0: $i,X1: $i] :
( le(sK1,X0,sK2,X1)
| ~ s_t(sK1,X0,s(iPr_def_11,X1)) ),
inference(superposition,[status(thm)],[c_8448,c_113]) ).
tcf(c_12313,plain,
! [X0: $i] :
( le(sK1,X0,sK2,iPr_def_11)
| ~ s_t(sK1,X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8449,c_113]) ).
tcf(c_12314,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_8453,c_113]) ).
tcf(c_12315,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,X2,midpoint(X0,X2))
| ~ s_t(X0,X1,midpoint(X0,X2)) ),
inference(superposition,[status(thm)],[c_8455,c_113]) ).
tcf(c_12316,plain,
! [X0: $i,X1: $i] :
( le(s(iPr_def_10,X0),X1,X0,sK5)
| ~ s_t(s(iPr_def_10,X0),X1,sK0) ),
inference(superposition,[status(thm)],[c_8462,c_113]) ).
tcf(c_12317,plain,
! [X0: $i,X1: $i] :
( le(s(iPr_def_11,X0),X1,X0,sK1)
| ~ s_t(s(iPr_def_11,X0),X1,sK2) ),
inference(superposition,[status(thm)],[c_8467,c_113]) ).
tcf(c_12318,plain,
! [X0: $i,X1: $i] :
( le(s(iPr_def_10,X0),X1,X0,sK0)
| ~ s_t(s(iPr_def_10,X0),X1,sK5) ),
inference(superposition,[status(thm)],[c_8472,c_113]) ).
tcf(c_12319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X3,s(midpoint(X3,X0),X2))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8479,c_113]) ).
tcf(c_12320,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_8484,c_113]) ).
tcf(c_12321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(s(midpoint(X0,X1),X2),X3,X2,X1)
| ~ s_t(s(midpoint(X0,X1),X2),X3,X0) ),
inference(superposition,[status(thm)],[c_8486,c_113]) ).
tcf(c_12322,plain,
! [X0: $i,X1: $i] :
( le(s(iPr_def_11,X0),X1,X0,sK2)
| ~ s_t(s(iPr_def_11,X0),X1,sK1) ),
inference(superposition,[status(thm)],[c_8490,c_113]) ).
tcf(c_12323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X2,X3)
| ~ s_t(X0,X1,s(midpoint(X0,X2),X3)) ),
inference(superposition,[status(thm)],[c_8606,c_113]) ).
tcf(c_12324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,s(midpoint(X3,X2),X0),X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8726,c_113]) ).
tcf(c_12325,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_8752,c_113]) ).
tcf(c_12326,plain,
! [X0: $i] :
( le(sK2,X0,sK1,sK0)
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_8756,c_113]) ).
tcf(c_12327,plain,
! [X0: $i] :
( le(sK0,X0,sK2,sK5)
| ~ s_t(sK0,X0,sK1) ),
inference(superposition,[status(thm)],[c_8790,c_113]) ).
tcf(c_12328,plain,
! [X0: $i] :
( le(sK0,X0,iPr_def_10,sK5)
| ~ s_t(sK0,X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8792,c_113]) ).
tcf(c_12329,plain,
! [X0: $i] :
( le(sK2,X0,iPr_def_11,sK1)
| ~ s_t(sK2,X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8793,c_113]) ).
tcf(c_12330,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,X2,s(X2,X0))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8794,c_113]) ).
tcf(c_12331,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_8795,c_113]) ).
tcf(c_12332,plain,
! [X0: $i] :
( le(sK5,X0,iPr_def_10,sK0)
| ~ s_t(sK5,X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8797,c_113]) ).
tcf(c_12333,plain,
! [X0: $i] :
( le(sK1,X0,iPr_def_11,sK2)
| ~ s_t(sK1,X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8798,c_113]) ).
tcf(c_12334,plain,
! [X0: $i,X1: $i] :
( le(X0,X1,sK5,s(iPr_def_10,X0))
| ~ s_t(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_8801,c_113]) ).
tcf(c_12335,plain,
! [X0: $i,X1: $i] :
( le(X0,X1,sK1,s(iPr_def_11,X0))
| ~ s_t(X0,X1,sK2) ),
inference(superposition,[status(thm)],[c_8802,c_113]) ).
tcf(c_12336,plain,
! [X0: $i,X1: $i] :
( le(X0,X1,sK0,s(iPr_def_10,X0))
| ~ s_t(X0,X1,sK5) ),
inference(superposition,[status(thm)],[c_8803,c_113]) ).
tcf(c_12337,plain,
! [X0: $i,X1: $i] :
( le(X0,X1,sK2,s(iPr_def_11,X0))
| ~ s_t(X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_8804,c_113]) ).
tcf(c_12338,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,s(X0,X2),X0)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8806,c_113]) ).
tcf(c_12339,plain,
! [X0: $i,X1: $i] :
( le(sK0,X0,s(iPr_def_10,X1),sK5)
| ~ s_t(sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8807,c_113]) ).
tcf(c_12340,plain,
! [X0: $i,X1: $i] :
( le(sK2,X0,s(iPr_def_11,X1),sK1)
| ~ s_t(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_8808,c_113]) ).
tcf(c_12341,plain,
! [X0: $i,X1: $i] :
( le(sK5,X0,s(iPr_def_10,X1),sK0)
| ~ s_t(sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_8809,c_113]) ).
tcf(c_12342,plain,
! [X0: $i] :
( le(iPr_def_10,X0,sK5,iPr_def_10)
| ~ s_t(iPr_def_10,X0,sK0) ),
inference(superposition,[status(thm)],[c_8810,c_113]) ).
tcf(c_12343,plain,
! [X0: $i] :
( le(iPr_def_11,X0,sK1,iPr_def_11)
| ~ s_t(iPr_def_11,X0,sK2) ),
inference(superposition,[status(thm)],[c_8811,c_113]) ).
tcf(c_12344,plain,
! [X0: $i] :
( le(iPr_def_10,X0,sK0,iPr_def_10)
| ~ s_t(iPr_def_10,X0,sK5) ),
inference(superposition,[status(thm)],[c_8812,c_113]) ).
tcf(c_12345,plain,
! [X0: $i] :
( le(iPr_def_11,X0,sK2,iPr_def_11)
| ~ s_t(iPr_def_11,X0,sK1) ),
inference(superposition,[status(thm)],[c_8813,c_113]) ).
tcf(c_12346,plain,
! [X0: $i] :
( le(sK5,X0,sK1,sK0)
| ~ s_t(sK5,X0,sK2) ),
inference(superposition,[status(thm)],[c_8845,c_113]) ).
tcf(c_12347,plain,
! [X0: $i] :
( le(sK2,X0,sK0,sK1)
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_8848,c_113]) ).
tcf(c_12348,plain,
! [X0: $i] :
( le(sK1,X0,sK5,sK2)
| ~ s_t(sK1,X0,sK0) ),
inference(superposition,[status(thm)],[c_8850,c_113]) ).
tcf(c_12349,plain,
! [X0: $i] :
( le(sK5,X0,sK0,sK1)
| ~ s_t(sK5,X0,sK2) ),
inference(superposition,[status(thm)],[c_8851,c_113]) ).
tcf(c_12350,plain,
! [X0: $i] :
( le(sK0,X0,sK5,sK2)
| ~ s_t(sK0,X0,sK1) ),
inference(superposition,[status(thm)],[c_8853,c_113]) ).
tcf(c_12351,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,X2,X0)
| ~ s_t(X0,X1,s(X0,X2)) ),
inference(superposition,[status(thm)],[c_8889,c_113]) ).
tcf(c_12352,plain,
! [X0: $i,X1: $i] :
( le(sK1,X0,s(iPr_def_11,X1),sK2)
| ~ s_t(sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_8898,c_113]) ).
tcf(c_12353,plain,
! [X0: $i,X1: $i] :
( le(sK0,X0,X1,sK5)
| ~ s_t(sK0,X0,s(iPr_def_10,X1)) ),
inference(superposition,[status(thm)],[c_9156,c_113]) ).
tcf(c_12354,plain,
! [X0: $i,X1: $i] :
( le(s(iPr_def_10,X0),X1,sK5,X0)
| ~ s_t(s(iPr_def_10,X0),X1,sK0) ),
inference(superposition,[status(thm)],[c_9157,c_113]) ).
tcf(c_12355,plain,
! [X0: $i,X1: $i] :
( le(sK2,X0,X1,sK1)
| ~ s_t(sK2,X0,s(iPr_def_11,X1)) ),
inference(superposition,[status(thm)],[c_9346,c_113]) ).
tcf(c_12794,plain,
( sameside(sK5,midpoint(sK3,sK5),sK2)
| s_t(sK5,midpoint(sK3,sK5),sK2) ),
inference(superposition,[status(thm)],[c_11219,c_134]) ).
tcf(c_12795,plain,
s_col(sK5,sK2,midpoint(sK3,sK5)),
inference(superposition,[status(thm)],[c_11219,c_98]) ).
tcf(c_12796,plain,
s_col(midpoint(sK3,sK5),sK5,sK2),
inference(superposition,[status(thm)],[c_11219,c_97]) ).
tcf(c_12797,plain,
s_col(sK2,midpoint(sK3,sK5),sK5),
inference(superposition,[status(thm)],[c_11219,c_96]) ).
tcf(c_12809,plain,
( sameside(midpoint(sK3,sK5),sK2,sK5)
| s_t(midpoint(sK3,sK5),sK2,sK5) ),
inference(superposition,[status(thm)],[c_11220,c_134]) ).
tcf(c_12823,plain,
! [X0: $i] :
( s_t(midpoint(sK3,sK5),sK5,X0)
| ~ s_t(midpoint(sK3,sK5),sK2,X0) ),
inference(superposition,[status(thm)],[c_11222,c_80]) ).
tcf(c_12824,plain,
! [X0: $i] :
( s_t(midpoint(sK3,sK5),X0,sK2)
| ~ s_t(sK5,X0,sK2) ),
inference(superposition,[status(thm)],[c_11222,c_79]) ).
tcf(c_12825,plain,
! [X0: $i] :
( s_t(sK5,sK2,X0)
| ~ s_t(midpoint(sK3,sK5),sK2,X0) ),
inference(superposition,[status(thm)],[c_11222,c_77]) ).
tcf(c_12826,plain,
! [X0: $i] :
( s_t(midpoint(sK3,sK5),sK5,X0)
| ~ s_t(sK5,X0,sK2) ),
inference(superposition,[status(thm)],[c_11222,c_76]) ).
tcf(c_12827,plain,
( ( midpoint(sK3,sK5) = sK5 )
| ~ s_t(sK5,midpoint(sK3,sK5),sK2) ),
inference(superposition,[status(thm)],[c_11222,c_75]) ).
tcf(c_12828,plain,
~ sameside(midpoint(sK3,sK5),sK5,sK2),
inference(superposition,[status(thm)],[c_11222,c_133]) ).
tcf(c_12862,plain,
s_t(sK3,sK0,sK0),
inference(superposition,[status(thm)],[c_72,c_10610]) ).
tcf(c_12864,plain,
s_t(sK3,midpoint(sK4,sK0),sK0),
inference(superposition,[status(thm)],[c_1750,c_10610]) ).
tcf(c_12865,plain,
s_t(sK3,midpoint(sK0,sK4),sK0),
inference(superposition,[status(thm)],[c_8202,c_10610]) ).
tcf(c_12870,plain,
s_t(sK3,sK2,sK2),
inference(superposition,[status(thm)],[c_72,c_10611]) ).
tcf(c_12872,plain,
s_t(sK3,midpoint(sK5,sK2),sK2),
inference(superposition,[status(thm)],[c_1750,c_10611]) ).
tcf(c_12873,plain,
s_t(sK3,midpoint(sK2,sK5),sK2),
inference(superposition,[status(thm)],[c_8202,c_10611]) ).
tcf(c_12888,plain,
! [X0: $i,X1: $i] : s_t(sK3,sK4,ext(sK3,sK0,X0,X1)),
inference(superposition,[status(thm)],[c_52,c_10694]) ).
tcf(c_12890,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,sK4,ins(X0,X1,sK3,sK0))
| ~ le(sK3,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_10694]) ).
tcf(c_12891,plain,
! [X0: $i] :
( s_t(sK3,sK4,c63(sK3,sK0,X0))
| ~ sameside(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_129,c_10694]) ).
tcf(c_12892,plain,
! [X0: $i] :
( s_t(sK3,sK4,c63(X0,sK0,sK3))
| ~ sameside(X0,sK0,sK3) ),
inference(superposition,[status(thm)],[c_130,c_10694]) ).
tcf(c_12893,plain,
s_t(sK3,sK4,s(sK0,sK3)),
inference(superposition,[status(thm)],[c_8175,c_10694]) ).
tcf(c_12912,plain,
! [X0: $i,X1: $i] : s_t(sK3,sK5,ext(sK3,sK2,X0,X1)),
inference(superposition,[status(thm)],[c_52,c_10695]) ).
tcf(c_12914,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,sK5,ins(X0,X1,sK3,sK2))
| ~ le(sK3,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_10695]) ).
tcf(c_12915,plain,
! [X0: $i] :
( s_t(sK3,sK5,c63(sK3,sK2,X0))
| ~ sameside(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_129,c_10695]) ).
tcf(c_12916,plain,
! [X0: $i] :
( s_t(sK3,sK5,c63(X0,sK2,sK3))
| ~ sameside(X0,sK2,sK3) ),
inference(superposition,[status(thm)],[c_130,c_10695]) ).
tcf(c_12917,plain,
s_t(sK3,sK5,s(sK2,sK3)),
inference(superposition,[status(thm)],[c_8175,c_10695]) ).
tcf(c_12944,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,sK3,X1)
| ~ sameside(sK0,sK3,X0)
| ~ s_t(sK4,c63(sK0,sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_10814,c_80]) ).
tcf(c_12945,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,X0,c63(sK0,sK3,X1))
| ~ sameside(sK0,sK3,X1)
| ~ s_t(sK3,X0,c63(sK0,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10814,c_79]) ).
tcf(c_12946,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,c63(sK0,sK3,X0),X1)
| ~ sameside(sK0,sK3,X0)
| ~ s_t(sK4,c63(sK0,sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_10814,c_77]) ).
tcf(c_12947,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,sK3,X0)
| ~ sameside(sK0,sK3,X1)
| ~ s_t(sK3,X0,c63(sK0,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10814,c_76]) ).
tcf(c_12948,plain,
! [X0: $i] :
( ( sK3 = sK4 )
| ~ sameside(sK0,sK3,X0)
| ~ s_t(sK3,sK4,c63(sK0,sK3,X0)) ),
inference(superposition,[status(thm)],[c_10814,c_75]) ).
tcf(c_12949,plain,
! [X0: $i] :
( ~ sameside(sK0,sK3,X0)
| ~ sameside(sK4,sK3,c63(sK0,sK3,X0)) ),
inference(superposition,[status(thm)],[c_10814,c_133]) ).
tcf(c_12950,plain,
! [X0: $i] :
( s_col(sK3,c63(sK0,sK3,X0),sK4)
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_10814,c_253]) ).
tcf(c_12951,plain,
! [X0: $i] :
( s_col(c63(sK0,sK3,X0),sK4,sK3)
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_10814,c_252]) ).
tcf(c_12952,plain,
! [X0: $i] :
( s_col(sK4,sK3,c63(sK0,sK3,X0))
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_10814,c_251]) ).
tcf(c_12953,plain,
! [X0: $i] :
( s_t(c63(sK0,sK3,X0),sK3,sK4)
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_10814,c_73]) ).
tcf(c_13030,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X2,X3)
| ~ s_t(X0,X1,s(midpoint(X2,X0),X3)) ),
inference(superposition,[status(thm)],[c_8766,c_113]) ).
tcf(c_13032,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(X0,s(midpoint(X1,X0),X2),X2,X1),
inference(superposition,[status(thm)],[c_8766,c_65]) ).
tcf(c_13033,plain,
! [X0: $i,X1: $i,X2: $i] : s_e(s(midpoint(X0,X1),X2),X1,X0,X2),
inference(superposition,[status(thm)],[c_8766,c_64]) ).
tcf(c_13044,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_13045,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_13046,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_13047,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_13048,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_13049,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_13071,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_13072,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_13073,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_13074,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_13075,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_13076,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_13108,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ s_col(X0,X1,X0)
| ~ s_col(X0,X1,erect(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_218,c_201]) ).
tcf(c_13117,plain,
( ~ s_col(sK1,sK2,sK1)
| ~ s_col(sK1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_9128,c_201]) ).
tcf(c_13118,plain,
( ~ s_col(sK1,sK2,sK3)
| ~ s_col(sK1,sK2,sK2) ),
inference(superposition,[status(thm)],[c_9130,c_201]) ).
tcf(c_13119,plain,
( ~ s_col(sK0,sK1,sK2)
| ~ s_col(sK0,sK1,sK1) ),
inference(superposition,[status(thm)],[c_9132,c_201]) ).
tcf(c_13120,plain,
( ~ s_col(sK3,sK2,sK2)
| ~ s_col(sK3,sK2,sK1) ),
inference(superposition,[status(thm)],[c_9134,c_201]) ).
tcf(c_13121,plain,
( ~ s_col(sK2,sK1,sK1)
| ~ s_col(sK2,sK1,sK0) ),
inference(superposition,[status(thm)],[c_9137,c_201]) ).
tcf(c_13122,plain,
( ~ s_col(sK2,sK1,sK3)
| ~ s_col(sK2,sK1,sK2) ),
inference(superposition,[status(thm)],[c_9139,c_201]) ).
tcf(c_13123,plain,
( ~ s_col(sK1,sK0,sK2)
| ~ s_col(sK1,sK0,sK1) ),
inference(superposition,[status(thm)],[c_9141,c_201]) ).
tcf(c_13124,plain,
( ~ s_col(sK2,sK3,sK2)
| ~ s_col(sK2,sK3,sK1) ),
inference(superposition,[status(thm)],[c_9143,c_201]) ).
tcf(c_13125,plain,
~ s_col(sK2,sK3,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_13124,c_100]) ).
tcf(c_13126,plain,
~ s_col(sK1,sK0,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_13123,c_100]) ).
tcf(c_13127,plain,
~ s_col(sK2,sK1,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_13122,c_100]) ).
tcf(c_13128,plain,
~ s_col(sK2,sK1,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_13121,c_8255]) ).
tcf(c_13129,plain,
~ s_col(sK3,sK2,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_13120,c_8255]) ).
tcf(c_13130,plain,
~ s_col(sK0,sK1,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_13119,c_8255]) ).
tcf(c_13131,plain,
~ s_col(sK1,sK2,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_13118,c_8255]) ).
tcf(c_13132,plain,
~ s_col(sK1,sK2,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_13117,c_100]) ).
tcf(c_13133,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ s_col(X0,X1,erect(X0,X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13108,c_100]) ).
tcf(c_13175,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ~ s_col(X0,X1,X0)
| ~ s_col(X0,X1,erect21a(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_215,c_201]) ).
tcf(c_13176,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| perp(X1,X0,erect21a(X0,X1,X2),X0)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_215,c_213]) ).
tcf(c_13177,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| perp(erect21a(X0,X1,X2),X0,X0,X1)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_215,c_190]) ).
tcf(c_13184,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ~ s_col(X0,X1,erect21a(X0,X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13175,c_100]) ).
tcf(c_13192,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,sK3,X1)
| ~ sameside(X0,sK3,sK0)
| ~ s_t(sK4,c63(X0,sK3,sK0),X1) ),
inference(superposition,[status(thm)],[c_10815,c_80]) ).
tcf(c_13193,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,X0,c63(X1,sK3,sK0))
| ~ sameside(X1,sK3,sK0)
| ~ s_t(sK3,X0,c63(X1,sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10815,c_79]) ).
tcf(c_13194,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,c63(X0,sK3,sK0),X1)
| ~ sameside(X0,sK3,sK0)
| ~ s_t(sK4,c63(X0,sK3,sK0),X1) ),
inference(superposition,[status(thm)],[c_10815,c_77]) ).
tcf(c_13195,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,sK3,X0)
| ~ sameside(X1,sK3,sK0)
| ~ s_t(sK3,X0,c63(X1,sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10815,c_76]) ).
tcf(c_13196,plain,
! [X0: $i] :
( ( sK3 = sK4 )
| ~ sameside(X0,sK3,sK0)
| ~ s_t(sK3,sK4,c63(X0,sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10815,c_75]) ).
tcf(c_13197,plain,
! [X0: $i] :
( ~ sameside(X0,sK3,sK0)
| ~ sameside(sK4,sK3,c63(X0,sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10815,c_133]) ).
tcf(c_13198,plain,
! [X0: $i] :
( s_col(sK3,c63(X0,sK3,sK0),sK4)
| ~ sameside(X0,sK3,sK0) ),
inference(superposition,[status(thm)],[c_10815,c_253]) ).
tcf(c_13199,plain,
! [X0: $i] :
( s_col(c63(X0,sK3,sK0),sK4,sK3)
| ~ sameside(X0,sK3,sK0) ),
inference(superposition,[status(thm)],[c_10815,c_252]) ).
tcf(c_13200,plain,
! [X0: $i] :
( s_col(sK4,sK3,c63(X0,sK3,sK0))
| ~ sameside(X0,sK3,sK0) ),
inference(superposition,[status(thm)],[c_10815,c_251]) ).
tcf(c_13201,plain,
! [X0: $i] :
( s_t(c63(X0,sK3,sK0),sK3,sK4)
| ~ sameside(X0,sK3,sK0) ),
inference(superposition,[status(thm)],[c_10815,c_73]) ).
tcf(c_13267,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,sK3,X1)
| ~ sameside(sK2,sK3,X0)
| ~ s_t(sK5,c63(sK2,sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_10838,c_80]) ).
tcf(c_13268,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,X0,c63(sK2,sK3,X1))
| ~ sameside(sK2,sK3,X1)
| ~ s_t(sK3,X0,c63(sK2,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10838,c_79]) ).
tcf(c_13269,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,c63(sK2,sK3,X0),X1)
| ~ sameside(sK2,sK3,X0)
| ~ s_t(sK5,c63(sK2,sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_10838,c_77]) ).
tcf(c_13270,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,sK3,X0)
| ~ sameside(sK2,sK3,X1)
| ~ s_t(sK3,X0,c63(sK2,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10838,c_76]) ).
tcf(c_13271,plain,
! [X0: $i] :
( ( sK3 = sK5 )
| ~ sameside(sK2,sK3,X0)
| ~ s_t(sK3,sK5,c63(sK2,sK3,X0)) ),
inference(superposition,[status(thm)],[c_10838,c_75]) ).
tcf(c_13272,plain,
! [X0: $i] :
( ~ sameside(sK2,sK3,X0)
| ~ sameside(sK5,sK3,c63(sK2,sK3,X0)) ),
inference(superposition,[status(thm)],[c_10838,c_133]) ).
tcf(c_13273,plain,
! [X0: $i] :
( s_col(sK3,c63(sK2,sK3,X0),sK5)
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_10838,c_253]) ).
tcf(c_13274,plain,
! [X0: $i] :
( s_col(c63(sK2,sK3,X0),sK5,sK3)
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_10838,c_252]) ).
tcf(c_13275,plain,
! [X0: $i] :
( s_col(sK5,sK3,c63(sK2,sK3,X0))
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_10838,c_251]) ).
tcf(c_13276,plain,
! [X0: $i] :
( s_t(c63(sK2,sK3,X0),sK3,sK5)
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_10838,c_73]) ).
tcf(c_13321,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,sK3,X1)
| ~ sameside(X0,sK3,sK2)
| ~ s_t(sK5,c63(X0,sK3,sK2),X1) ),
inference(superposition,[status(thm)],[c_10839,c_80]) ).
tcf(c_13322,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,X0,c63(X1,sK3,sK2))
| ~ sameside(X1,sK3,sK2)
| ~ s_t(sK3,X0,c63(X1,sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10839,c_79]) ).
tcf(c_13323,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,c63(X0,sK3,sK2),X1)
| ~ sameside(X0,sK3,sK2)
| ~ s_t(sK5,c63(X0,sK3,sK2),X1) ),
inference(superposition,[status(thm)],[c_10839,c_77]) ).
tcf(c_13324,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,sK3,X0)
| ~ sameside(X1,sK3,sK2)
| ~ s_t(sK3,X0,c63(X1,sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10839,c_76]) ).
tcf(c_13325,plain,
! [X0: $i] :
( ( sK3 = sK5 )
| ~ sameside(X0,sK3,sK2)
| ~ s_t(sK3,sK5,c63(X0,sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10839,c_75]) ).
tcf(c_13326,plain,
! [X0: $i] :
( ~ sameside(X0,sK3,sK2)
| ~ sameside(sK5,sK3,c63(X0,sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10839,c_133]) ).
tcf(c_13327,plain,
! [X0: $i] :
( s_col(sK3,c63(X0,sK3,sK2),sK5)
| ~ sameside(X0,sK3,sK2) ),
inference(superposition,[status(thm)],[c_10839,c_253]) ).
tcf(c_13328,plain,
! [X0: $i] :
( s_col(c63(X0,sK3,sK2),sK5,sK3)
| ~ sameside(X0,sK3,sK2) ),
inference(superposition,[status(thm)],[c_10839,c_252]) ).
tcf(c_13329,plain,
! [X0: $i] :
( s_col(sK5,sK3,c63(X0,sK3,sK2))
| ~ sameside(X0,sK3,sK2) ),
inference(superposition,[status(thm)],[c_10839,c_251]) ).
tcf(c_13330,plain,
! [X0: $i] :
( s_t(c63(X0,sK3,sK2),sK3,sK5)
| ~ sameside(X0,sK3,sK2) ),
inference(superposition,[status(thm)],[c_10839,c_73]) ).
tcf(c_13476,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK4,X1)
| ~ sameside(sK0,sK3,X0)
| ~ s_t(sK0,c63(sK0,sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_10874,c_80]) ).
tcf(c_13477,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,X0,c63(sK0,sK3,X1))
| ~ sameside(sK0,sK3,X1)
| ~ s_t(sK4,X0,c63(sK0,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10874,c_79]) ).
tcf(c_13478,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,c63(sK0,sK3,X0),X1)
| ~ sameside(sK0,sK3,X0)
| ~ s_t(sK0,c63(sK0,sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_10874,c_77]) ).
tcf(c_13479,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK4,X0)
| ~ sameside(sK0,sK3,X1)
| ~ s_t(sK4,X0,c63(sK0,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10874,c_76]) ).
tcf(c_13480,plain,
! [X0: $i] :
( ( sK0 = sK4 )
| ~ sameside(sK0,sK3,X0)
| ~ s_t(sK4,sK0,c63(sK0,sK3,X0)) ),
inference(superposition,[status(thm)],[c_10874,c_75]) ).
tcf(c_13481,plain,
! [X0: $i] :
( ~ sameside(sK0,sK3,X0)
| ~ sameside(sK0,sK4,c63(sK0,sK3,X0)) ),
inference(superposition,[status(thm)],[c_10874,c_133]) ).
tcf(c_13482,plain,
! [X0: $i] :
( s_col(sK4,c63(sK0,sK3,X0),sK0)
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_10874,c_253]) ).
tcf(c_13483,plain,
! [X0: $i] :
( s_col(c63(sK0,sK3,X0),sK0,sK4)
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_10874,c_252]) ).
tcf(c_13484,plain,
! [X0: $i] :
( s_col(sK0,sK4,c63(sK0,sK3,X0))
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_10874,c_251]) ).
tcf(c_13485,plain,
! [X0: $i] :
( s_t(c63(sK0,sK3,X0),sK4,sK0)
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_10874,c_73]) ).
tcf(c_13525,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK4,X1)
| ~ sameside(X0,sK3,sK0)
| ~ s_t(sK0,c63(X0,sK3,sK0),X1) ),
inference(superposition,[status(thm)],[c_10875,c_80]) ).
tcf(c_13526,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,X0,c63(X1,sK3,sK0))
| ~ sameside(X1,sK3,sK0)
| ~ s_t(sK4,X0,c63(X1,sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10875,c_79]) ).
tcf(c_13527,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,c63(X0,sK3,sK0),X1)
| ~ sameside(X0,sK3,sK0)
| ~ s_t(sK0,c63(X0,sK3,sK0),X1) ),
inference(superposition,[status(thm)],[c_10875,c_77]) ).
tcf(c_13528,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK4,X0)
| ~ sameside(X1,sK3,sK0)
| ~ s_t(sK4,X0,c63(X1,sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10875,c_76]) ).
tcf(c_13529,plain,
! [X0: $i] :
( ( sK0 = sK4 )
| ~ sameside(X0,sK3,sK0)
| ~ s_t(sK4,sK0,c63(X0,sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10875,c_75]) ).
tcf(c_13530,plain,
! [X0: $i] :
( ~ sameside(X0,sK3,sK0)
| ~ sameside(sK0,sK4,c63(X0,sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10875,c_133]) ).
tcf(c_13531,plain,
! [X0: $i] :
( s_col(sK4,c63(X0,sK3,sK0),sK0)
| ~ sameside(X0,sK3,sK0) ),
inference(superposition,[status(thm)],[c_10875,c_253]) ).
tcf(c_13532,plain,
! [X0: $i] :
( s_col(c63(X0,sK3,sK0),sK0,sK4)
| ~ sameside(X0,sK3,sK0) ),
inference(superposition,[status(thm)],[c_10875,c_252]) ).
tcf(c_13533,plain,
! [X0: $i] :
( s_col(sK0,sK4,c63(X0,sK3,sK0))
| ~ sameside(X0,sK3,sK0) ),
inference(superposition,[status(thm)],[c_10875,c_251]) ).
tcf(c_13534,plain,
! [X0: $i] :
( s_t(c63(X0,sK3,sK0),sK4,sK0)
| ~ sameside(X0,sK3,sK0) ),
inference(superposition,[status(thm)],[c_10875,c_73]) ).
tcf(c_13574,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK5,X1)
| ~ sameside(sK2,sK3,X0)
| ~ s_t(sK2,c63(sK2,sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_10895,c_80]) ).
tcf(c_13575,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,X0,c63(sK2,sK3,X1))
| ~ sameside(sK2,sK3,X1)
| ~ s_t(sK5,X0,c63(sK2,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10895,c_79]) ).
tcf(c_13576,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,c63(sK2,sK3,X0),X1)
| ~ sameside(sK2,sK3,X0)
| ~ s_t(sK2,c63(sK2,sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_10895,c_77]) ).
tcf(c_13577,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK5,X0)
| ~ sameside(sK2,sK3,X1)
| ~ s_t(sK5,X0,c63(sK2,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10895,c_76]) ).
tcf(c_13578,plain,
! [X0: $i] :
( ( sK2 = sK5 )
| ~ sameside(sK2,sK3,X0)
| ~ s_t(sK5,sK2,c63(sK2,sK3,X0)) ),
inference(superposition,[status(thm)],[c_10895,c_75]) ).
tcf(c_13579,plain,
! [X0: $i] :
( ~ sameside(sK2,sK3,X0)
| ~ sameside(sK2,sK5,c63(sK2,sK3,X0)) ),
inference(superposition,[status(thm)],[c_10895,c_133]) ).
tcf(c_13580,plain,
! [X0: $i] :
( s_col(sK5,c63(sK2,sK3,X0),sK2)
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_10895,c_253]) ).
tcf(c_13581,plain,
! [X0: $i] :
( s_col(c63(sK2,sK3,X0),sK2,sK5)
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_10895,c_252]) ).
tcf(c_13582,plain,
! [X0: $i] :
( s_col(sK2,sK5,c63(sK2,sK3,X0))
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_10895,c_251]) ).
tcf(c_13583,plain,
! [X0: $i] :
( s_t(c63(sK2,sK3,X0),sK5,sK2)
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_10895,c_73]) ).
tcf(c_13623,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK5,X1)
| ~ sameside(X0,sK3,sK2)
| ~ s_t(sK2,c63(X0,sK3,sK2),X1) ),
inference(superposition,[status(thm)],[c_10896,c_80]) ).
tcf(c_13624,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,X0,c63(X1,sK3,sK2))
| ~ sameside(X1,sK3,sK2)
| ~ s_t(sK5,X0,c63(X1,sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10896,c_79]) ).
tcf(c_13625,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,c63(X0,sK3,sK2),X1)
| ~ sameside(X0,sK3,sK2)
| ~ s_t(sK2,c63(X0,sK3,sK2),X1) ),
inference(superposition,[status(thm)],[c_10896,c_77]) ).
tcf(c_13626,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK5,X0)
| ~ sameside(X1,sK3,sK2)
| ~ s_t(sK5,X0,c63(X1,sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10896,c_76]) ).
tcf(c_13627,plain,
! [X0: $i] :
( ( sK2 = sK5 )
| ~ sameside(X0,sK3,sK2)
| ~ s_t(sK5,sK2,c63(X0,sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10896,c_75]) ).
tcf(c_13628,plain,
! [X0: $i] :
( ~ sameside(X0,sK3,sK2)
| ~ sameside(sK2,sK5,c63(X0,sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10896,c_133]) ).
tcf(c_13629,plain,
! [X0: $i] :
( s_col(sK5,c63(X0,sK3,sK2),sK2)
| ~ sameside(X0,sK3,sK2) ),
inference(superposition,[status(thm)],[c_10896,c_253]) ).
tcf(c_13630,plain,
! [X0: $i] :
( s_col(c63(X0,sK3,sK2),sK2,sK5)
| ~ sameside(X0,sK3,sK2) ),
inference(superposition,[status(thm)],[c_10896,c_252]) ).
tcf(c_13631,plain,
! [X0: $i] :
( s_col(sK2,sK5,c63(X0,sK3,sK2))
| ~ sameside(X0,sK3,sK2) ),
inference(superposition,[status(thm)],[c_10896,c_251]) ).
tcf(c_13632,plain,
! [X0: $i] :
( s_t(c63(X0,sK3,sK2),sK5,sK2)
| ~ sameside(X0,sK3,sK2) ),
inference(superposition,[status(thm)],[c_10896,c_73]) ).
tcf(c_13680,plain,
( sameside(sK1,sK2,sK1)
| s_t(sK1,sK2,sK4) ),
inference(superposition,[status(thm)],[c_9874,c_11006]) ).
tcf(c_13681,plain,
( sameside(sK1,sK2,sK1)
| s_t(sK4,sK2,sK1)
| s_t(sK1,sK2,sK4) ),
inference(superposition,[status(thm)],[c_9670,c_11006]) ).
tcf(c_13706,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_8786,c_113]) ).
tcf(c_13721,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X1,X0,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_49,c_261]) ).
tcf(c_13722,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_261]) ).
tcf(c_13724,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X2,X2,X0,X1)
| ~ s_t(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_66,c_261]) ).
tcf(c_13725,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_261]) ).
tcf(c_13726,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_261]) ).
tcf(c_13727,plain,
! [X0: $i] :
( le(sK1,sK0,sK2,X0)
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_5721,c_261]) ).
tcf(c_13728,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_277,c_261]) ).
tcf(c_13729,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(midpoint(X0,X1),X0,midpoint(X0,X1),X2)
| ~ s_t(midpoint(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_1804,c_261]) ).
tcf(c_13730,plain,
! [X0: $i] :
( le(iPr_def_10,sK0,iPr_def_10,X0)
| ~ s_t(iPr_def_10,sK5,X0) ),
inference(superposition,[status(thm)],[c_8164,c_261]) ).
tcf(c_13731,plain,
! [X0: $i] :
( le(iPr_def_11,sK2,iPr_def_11,X0)
| ~ s_t(iPr_def_11,sK1,X0) ),
inference(superposition,[status(thm)],[c_8166,c_261]) ).
tcf(c_13732,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,X0,X2)
| ~ s_t(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_8176,c_261]) ).
tcf(c_13733,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,s(X0,X1),X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8183,c_261]) ).
tcf(c_13734,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(midpoint(X0,X1),X1,midpoint(X0,X1),X2)
| ~ s_t(midpoint(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_8226,c_261]) ).
tcf(c_13735,plain,
! [X0: $i] :
( le(iPr_def_10,sK5,iPr_def_10,X0)
| ~ s_t(iPr_def_10,sK0,X0) ),
inference(superposition,[status(thm)],[c_8232,c_261]) ).
tcf(c_13736,plain,
! [X0: $i] :
( le(iPr_def_11,sK1,iPr_def_11,X0)
| ~ s_t(iPr_def_11,sK2,X0) ),
inference(superposition,[status(thm)],[c_8238,c_261]) ).
tcf(c_13737,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_8406,c_261]) ).
tcf(c_13738,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X1,X2,X0,X3)
| ~ s_t(X0,s(midpoint(X1,X0),X2),X3) ),
inference(superposition,[status(thm)],[c_8408,c_261]) ).
tcf(c_13739,plain,
! [X0: $i,X1: $i] :
( le(sK0,X0,sK5,X1)
| ~ s_t(sK5,s(iPr_def_10,X0),X1) ),
inference(superposition,[status(thm)],[c_8409,c_261]) ).
tcf(c_13740,plain,
! [X0: $i,X1: $i] :
( le(sK2,X0,sK1,X1)
| ~ s_t(sK1,s(iPr_def_11,X0),X1) ),
inference(superposition,[status(thm)],[c_8410,c_261]) ).
tcf(c_13741,plain,
! [X0: $i,X1: $i] :
( le(sK5,X0,sK0,X1)
| ~ s_t(sK0,s(iPr_def_10,X0),X1) ),
inference(superposition,[status(thm)],[c_8411,c_261]) ).
tcf(c_13742,plain,
! [X0: $i,X1: $i] :
( le(sK1,X0,sK2,X1)
| ~ s_t(sK2,s(iPr_def_11,X0),X1) ),
inference(superposition,[status(thm)],[c_8412,c_261]) ).
tcf(c_13743,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_8413,c_261]) ).
tcf(c_13744,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_8414,c_261]) ).
tcf(c_13745,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X2,X0,s(midpoint(X0,X1),X2),X3)
| ~ s_t(s(midpoint(X0,X1),X2),X1,X3) ),
inference(superposition,[status(thm)],[c_8415,c_261]) ).
tcf(c_13746,plain,
! [X0: $i,X1: $i] :
( le(X0,sK0,s(iPr_def_10,X0),X1)
| ~ s_t(s(iPr_def_10,X0),sK5,X1) ),
inference(superposition,[status(thm)],[c_8416,c_261]) ).
tcf(c_13747,plain,
! [X0: $i,X1: $i] :
( le(X0,sK2,s(iPr_def_11,X0),X1)
| ~ s_t(s(iPr_def_11,X0),sK1,X1) ),
inference(superposition,[status(thm)],[c_8417,c_261]) ).
tcf(c_13748,plain,
! [X0: $i,X1: $i] :
( le(X0,sK5,s(iPr_def_10,X0),X1)
| ~ s_t(s(iPr_def_10,X0),sK0,X1) ),
inference(superposition,[status(thm)],[c_8418,c_261]) ).
tcf(c_13749,plain,
! [X0: $i,X1: $i] :
( le(X0,sK1,s(iPr_def_11,X0),X1)
| ~ s_t(s(iPr_def_11,X0),sK2,X1) ),
inference(superposition,[status(thm)],[c_8419,c_261]) ).
tcf(c_13750,plain,
! [X0: $i,X1: $i] :
( le(sK0,s(iPr_def_10,X0),sK5,X1)
| ~ s_t(sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_8433,c_261]) ).
tcf(c_13751,plain,
! [X0: $i] :
( le(sK0,iPr_def_10,sK5,X0)
| ~ s_t(sK5,iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_8434,c_261]) ).
tcf(c_13752,plain,
! [X0: $i,X1: $i] :
( le(sK2,s(iPr_def_11,X0),sK1,X1)
| ~ s_t(sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_8438,c_261]) ).
tcf(c_13753,plain,
! [X0: $i] :
( le(sK2,iPr_def_11,sK1,X0)
| ~ s_t(sK1,iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_8439,c_261]) ).
tcf(c_13754,plain,
! [X0: $i,X1: $i] :
( le(sK5,s(iPr_def_10,X0),sK0,X1)
| ~ s_t(sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8443,c_261]) ).
tcf(c_13755,plain,
! [X0: $i] :
( le(sK5,iPr_def_10,sK0,X0)
| ~ s_t(sK0,iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_8444,c_261]) ).
tcf(c_13756,plain,
! [X0: $i,X1: $i] :
( le(sK1,s(iPr_def_11,X0),sK2,X1)
| ~ s_t(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_8448,c_261]) ).
tcf(c_13757,plain,
! [X0: $i] :
( le(sK1,iPr_def_11,sK2,X0)
| ~ s_t(sK2,iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_8449,c_261]) ).
tcf(c_13758,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(s(X1,X0),X1,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8453,c_261]) ).
tcf(c_13759,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X1,midpoint(X1,X0),X0,X2)
| ~ s_t(X0,midpoint(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_8455,c_261]) ).
tcf(c_13760,plain,
! [X0: $i,X1: $i] :
( le(s(iPr_def_10,X0),sK0,X0,X1)
| ~ s_t(X0,sK5,X1) ),
inference(superposition,[status(thm)],[c_8462,c_261]) ).
tcf(c_13761,plain,
! [X0: $i,X1: $i] :
( le(s(iPr_def_11,X0),sK2,X0,X1)
| ~ s_t(X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_8467,c_261]) ).
tcf(c_13762,plain,
! [X0: $i,X1: $i] :
( le(s(iPr_def_10,X0),sK5,X0,X1)
| ~ s_t(X0,sK0,X1) ),
inference(superposition,[status(thm)],[c_8472,c_261]) ).
tcf(c_13763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X1,X2,X0,X3)
| ~ s_t(X0,s(midpoint(X0,X1),X2),X3) ),
inference(superposition,[status(thm)],[c_8479,c_261]) ).
tcf(c_13764,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_8484,c_261]) ).
tcf(c_13765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(s(midpoint(X3,X1),X0),X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8486,c_261]) ).
tcf(c_13766,plain,
! [X0: $i,X1: $i] :
( le(s(iPr_def_11,X0),sK1,X0,X1)
| ~ s_t(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_8490,c_261]) ).
tcf(c_13767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X3,s(midpoint(X3,X0),X1),X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8606,c_261]) ).
tcf(c_13768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X2,X1,s(midpoint(X0,X1),X2),X3)
| ~ s_t(s(midpoint(X0,X1),X2),X0,X3) ),
inference(superposition,[status(thm)],[c_8726,c_261]) ).
tcf(c_13769,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_8752,c_261]) ).
tcf(c_13770,plain,
! [X0: $i] :
( le(sK2,sK5,sK1,X0)
| ~ s_t(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_8756,c_261]) ).
tcf(c_13771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X3,s(midpoint(X0,X3),X1),X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8766,c_261]) ).
tcf(c_13772,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_8786,c_261]) ).
tcf(c_13773,plain,
! [X0: $i] :
( le(sK0,sK1,sK2,X0)
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_8790,c_261]) ).
tcf(c_13774,plain,
! [X0: $i] :
( le(sK0,iPr_def_10,iPr_def_10,X0)
| ~ s_t(iPr_def_10,sK5,X0) ),
inference(superposition,[status(thm)],[c_8792,c_261]) ).
tcf(c_13775,plain,
! [X0: $i] :
( le(sK2,iPr_def_11,iPr_def_11,X0)
| ~ s_t(iPr_def_11,sK1,X0) ),
inference(superposition,[status(thm)],[c_8793,c_261]) ).
tcf(c_13776,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X1,X0,X0,X2)
| ~ s_t(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_8794,c_261]) ).
tcf(c_13777,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(s(X0,X1),X0,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8795,c_261]) ).
tcf(c_13778,plain,
! [X0: $i] :
( le(sK5,iPr_def_10,iPr_def_10,X0)
| ~ s_t(iPr_def_10,sK0,X0) ),
inference(superposition,[status(thm)],[c_8797,c_261]) ).
tcf(c_13779,plain,
! [X0: $i] :
( le(sK1,iPr_def_11,iPr_def_11,X0)
| ~ s_t(iPr_def_11,sK2,X0) ),
inference(superposition,[status(thm)],[c_8798,c_261]) ).
tcf(c_13780,plain,
! [X0: $i,X1: $i] :
( le(X0,sK0,sK5,X1)
| ~ s_t(sK5,s(iPr_def_10,X0),X1) ),
inference(superposition,[status(thm)],[c_8801,c_261]) ).
tcf(c_13781,plain,
! [X0: $i,X1: $i] :
( le(X0,sK2,sK1,X1)
| ~ s_t(sK1,s(iPr_def_11,X0),X1) ),
inference(superposition,[status(thm)],[c_8802,c_261]) ).
tcf(c_13782,plain,
! [X0: $i,X1: $i] :
( le(X0,sK5,sK0,X1)
| ~ s_t(sK0,s(iPr_def_10,X0),X1) ),
inference(superposition,[status(thm)],[c_8803,c_261]) ).
tcf(c_13783,plain,
! [X0: $i,X1: $i] :
( le(X0,sK1,sK2,X1)
| ~ s_t(sK2,s(iPr_def_11,X0),X1) ),
inference(superposition,[status(thm)],[c_8804,c_261]) ).
tcf(c_13784,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_8806,c_261]) ).
tcf(c_13785,plain,
! [X0: $i,X1: $i] :
( le(sK0,X0,s(iPr_def_10,X0),X1)
| ~ s_t(s(iPr_def_10,X0),sK5,X1) ),
inference(superposition,[status(thm)],[c_8807,c_261]) ).
tcf(c_13786,plain,
! [X0: $i,X1: $i] :
( le(sK2,X0,s(iPr_def_11,X0),X1)
| ~ s_t(s(iPr_def_11,X0),sK1,X1) ),
inference(superposition,[status(thm)],[c_8808,c_261]) ).
tcf(c_13787,plain,
! [X0: $i,X1: $i] :
( le(sK5,X0,s(iPr_def_10,X0),X1)
| ~ s_t(s(iPr_def_10,X0),sK0,X1) ),
inference(superposition,[status(thm)],[c_8809,c_261]) ).
tcf(c_13788,plain,
! [X0: $i] :
( le(iPr_def_10,sK0,sK5,X0)
| ~ s_t(sK5,iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_8810,c_261]) ).
tcf(c_13789,plain,
! [X0: $i] :
( le(iPr_def_11,sK2,sK1,X0)
| ~ s_t(sK1,iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_8811,c_261]) ).
tcf(c_13790,plain,
! [X0: $i] :
( le(iPr_def_10,sK5,sK0,X0)
| ~ s_t(sK0,iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_8812,c_261]) ).
tcf(c_13791,plain,
! [X0: $i] :
( le(iPr_def_11,sK1,sK2,X0)
| ~ s_t(sK2,iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_8813,c_261]) ).
tcf(c_13792,plain,
! [X0: $i] :
( le(sK5,sK2,sK1,X0)
| ~ s_t(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_8845,c_261]) ).
tcf(c_13793,plain,
! [X0: $i] :
( le(sK2,sK5,sK0,X0)
| ~ s_t(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_8848,c_261]) ).
tcf(c_13794,plain,
! [X0: $i] :
( le(sK1,sK0,sK5,X0)
| ~ s_t(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_8850,c_261]) ).
tcf(c_13795,plain,
! [X0: $i] :
( le(sK5,sK2,sK0,X0)
| ~ s_t(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_8851,c_261]) ).
tcf(c_13796,plain,
! [X0: $i] :
( le(sK0,sK1,sK5,X0)
| ~ s_t(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_8853,c_261]) ).
tcf(c_13797,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X1,s(X1,X0),X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8889,c_261]) ).
tcf(c_13798,plain,
! [X0: $i,X1: $i] :
( le(sK1,X0,s(iPr_def_11,X0),X1)
| ~ s_t(s(iPr_def_11,X0),sK2,X1) ),
inference(superposition,[status(thm)],[c_8898,c_261]) ).
tcf(c_13799,plain,
! [X0: $i,X1: $i] :
( le(sK0,s(iPr_def_10,X0),X0,X1)
| ~ s_t(X0,sK5,X1) ),
inference(superposition,[status(thm)],[c_9156,c_261]) ).
tcf(c_13800,plain,
! [X0: $i,X1: $i] :
( le(s(iPr_def_10,X0),sK0,sK5,X1)
| ~ s_t(sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_9157,c_261]) ).
tcf(c_13801,plain,
! [X0: $i,X1: $i] :
( le(sK2,s(iPr_def_11,X0),X0,X1)
| ~ s_t(X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_9346,c_261]) ).
tcf(c_14158,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_287,c_189]) ).
tcf(c_14160,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_287,c_280]) ).
tcf(c_14161,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_287,c_279]) ).
tcf(c_14162,plain,
! [X0: $i,X1: $i,X2: $i] : ~ perp(X0,X0,X1,X2),
inference(superposition,[status(thm)],[c_287,c_281]) ).
tcf(c_14163,plain,
! [X0: $i,X1: $i,X2: $i] : ~ perp(X0,X1,X2,X2),
inference(superposition,[status(thm)],[c_287,c_282]) ).
tcf(c_14178,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_14180,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_14181,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_14182,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_14183,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,sK5,X0,X1)
| ~ s_e(sK1,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_5721,c_50]) ).
tcf(c_14184,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_277,c_50]) ).
tcf(c_14185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(midpoint(X0,X1),X1,X2,X3)
| ~ s_e(midpoint(X0,X1),X0,X2,X3) ),
inference(superposition,[status(thm)],[c_1804,c_50]) ).
tcf(c_14186,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_10,sK5,X0,X1)
| ~ s_e(iPr_def_10,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8164,c_50]) ).
tcf(c_14187,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_11,sK1,X0,X1)
| ~ s_e(iPr_def_11,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_8166,c_50]) ).
tcf(c_14188,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_8176,c_50]) ).
tcf(c_14189,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_8183,c_50]) ).
tcf(c_14190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(midpoint(X0,X1),X0,X2,X3)
| ~ s_e(midpoint(X0,X1),X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8226,c_50]) ).
tcf(c_14191,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_10,sK0,X0,X1)
| ~ s_e(iPr_def_10,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_8232,c_50]) ).
tcf(c_14192,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_11,sK2,X0,X1)
| ~ s_e(iPr_def_11,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_8238,c_50]) ).
tcf(c_14193,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_8406,c_50]) ).
tcf(c_14194,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,s(midpoint(X0,X4),X1),X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8408,c_50]) ).
tcf(c_14195,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,s(iPr_def_10,X0),X1,X2)
| ~ s_e(sK0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8409,c_50]) ).
tcf(c_14196,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK1,s(iPr_def_11,X0),X1,X2)
| ~ s_e(sK2,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8410,c_50]) ).
tcf(c_14197,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK0,s(iPr_def_10,X0),X1,X2)
| ~ s_e(sK5,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8411,c_50]) ).
tcf(c_14198,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,s(iPr_def_11,X0),X1,X2)
| ~ s_e(sK1,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8412,c_50]) ).
tcf(c_14199,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_8413,c_50]) ).
tcf(c_14200,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_8414,c_50]) ).
tcf(c_14201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(midpoint(X1,X4),X0),X4,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8415,c_50]) ).
tcf(c_14202,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_10,X0),sK5,X1,X2)
| ~ s_e(X0,sK0,X1,X2) ),
inference(superposition,[status(thm)],[c_8416,c_50]) ).
tcf(c_14203,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_11,X0),sK1,X1,X2)
| ~ s_e(X0,sK2,X1,X2) ),
inference(superposition,[status(thm)],[c_8417,c_50]) ).
tcf(c_14204,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_10,X0),sK0,X1,X2)
| ~ s_e(X0,sK5,X1,X2) ),
inference(superposition,[status(thm)],[c_8418,c_50]) ).
tcf(c_14205,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_11,X0),sK2,X1,X2)
| ~ s_e(X0,sK1,X1,X2) ),
inference(superposition,[status(thm)],[c_8419,c_50]) ).
tcf(c_14206,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,X0,X1,X2)
| ~ s_e(sK0,s(iPr_def_10,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_8433,c_50]) ).
tcf(c_14207,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,iPr_def_10,X0,X1)
| ~ s_e(sK0,iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_8434,c_50]) ).
tcf(c_14208,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK1,X0,X1,X2)
| ~ s_e(sK2,s(iPr_def_11,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_8438,c_50]) ).
tcf(c_14209,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,iPr_def_11,X0,X1)
| ~ s_e(sK2,iPr_def_11,X0,X1) ),
inference(superposition,[status(thm)],[c_8439,c_50]) ).
tcf(c_14210,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK0,X0,X1,X2)
| ~ s_e(sK5,s(iPr_def_10,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_8443,c_50]) ).
tcf(c_14211,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,iPr_def_10,X0,X1)
| ~ s_e(sK5,iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_8444,c_50]) ).
tcf(c_14212,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X0,X1,X2)
| ~ s_e(sK1,s(iPr_def_11,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_8448,c_50]) ).
tcf(c_14213,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,iPr_def_11,X0,X1)
| ~ s_e(sK1,iPr_def_11,X0,X1) ),
inference(superposition,[status(thm)],[c_8449,c_50]) ).
tcf(c_14214,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_8453,c_50]) ).
tcf(c_14215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,midpoint(X0,X1),X2,X3)
| ~ s_e(X0,midpoint(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_8455,c_50]) ).
tcf(c_14216,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,sK5,X1,X2)
| ~ s_e(s(iPr_def_10,X0),sK0,X1,X2) ),
inference(superposition,[status(thm)],[c_8462,c_50]) ).
tcf(c_14217,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,sK1,X1,X2)
| ~ s_e(s(iPr_def_11,X0),sK2,X1,X2) ),
inference(superposition,[status(thm)],[c_8467,c_50]) ).
tcf(c_14218,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,sK0,X1,X2)
| ~ s_e(s(iPr_def_10,X0),sK5,X1,X2) ),
inference(superposition,[status(thm)],[c_8472,c_50]) ).
tcf(c_14219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,s(midpoint(X4,X0),X1),X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8479,c_50]) ).
tcf(c_14220,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_8484,c_50]) ).
tcf(c_14221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X1,X3,X4)
| ~ s_e(s(midpoint(X0,X1),X2),X0,X3,X4) ),
inference(superposition,[status(thm)],[c_8486,c_50]) ).
tcf(c_14222,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,sK2,X1,X2)
| ~ s_e(s(iPr_def_11,X0),sK1,X1,X2) ),
inference(superposition,[status(thm)],[c_8490,c_50]) ).
tcf(c_14223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X2,X3,X4)
| ~ s_e(X0,s(midpoint(X0,X1),X2),X3,X4) ),
inference(superposition,[status(thm)],[c_8606,c_50]) ).
tcf(c_14224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(midpoint(X4,X1),X0),X4,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8726,c_50]) ).
tcf(c_14225,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_8752,c_50]) ).
tcf(c_14226,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,sK0,X0,X1)
| ~ s_e(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_8756,c_50]) ).
tcf(c_14227,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X2,X3,X4)
| ~ s_e(X0,s(midpoint(X1,X0),X2),X3,X4) ),
inference(superposition,[status(thm)],[c_8766,c_50]) ).
tcf(c_14228,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_8786,c_50]) ).
tcf(c_14229,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,sK5,X0,X1)
| ~ s_e(sK0,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_8790,c_50]) ).
tcf(c_14230,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_10,sK5,X0,X1)
| ~ s_e(sK0,iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_8792,c_50]) ).
tcf(c_14231,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_11,sK1,X0,X1)
| ~ s_e(sK2,iPr_def_11,X0,X1) ),
inference(superposition,[status(thm)],[c_8793,c_50]) ).
tcf(c_14232,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_8794,c_50]) ).
tcf(c_14233,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_8795,c_50]) ).
tcf(c_14234,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_10,sK0,X0,X1)
| ~ s_e(sK5,iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_8797,c_50]) ).
tcf(c_14235,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_11,sK2,X0,X1)
| ~ s_e(sK1,iPr_def_11,X0,X1) ),
inference(superposition,[status(thm)],[c_8798,c_50]) ).
tcf(c_14236,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,s(iPr_def_10,X0),X1,X2)
| ~ s_e(X0,sK0,X1,X2) ),
inference(superposition,[status(thm)],[c_8801,c_50]) ).
tcf(c_14237,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK1,s(iPr_def_11,X0),X1,X2)
| ~ s_e(X0,sK2,X1,X2) ),
inference(superposition,[status(thm)],[c_8802,c_50]) ).
tcf(c_14238,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK0,s(iPr_def_10,X0),X1,X2)
| ~ s_e(X0,sK5,X1,X2) ),
inference(superposition,[status(thm)],[c_8803,c_50]) ).
tcf(c_14239,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,s(iPr_def_11,X0),X1,X2)
| ~ s_e(X0,sK1,X1,X2) ),
inference(superposition,[status(thm)],[c_8804,c_50]) ).
tcf(c_14240,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_8806,c_50]) ).
tcf(c_14241,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_10,X0),sK5,X1,X2)
| ~ s_e(sK0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8807,c_50]) ).
tcf(c_14242,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_11,X0),sK1,X1,X2)
| ~ s_e(sK2,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8808,c_50]) ).
tcf(c_14243,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_10,X0),sK0,X1,X2)
| ~ s_e(sK5,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8809,c_50]) ).
tcf(c_14244,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,iPr_def_10,X0,X1)
| ~ s_e(iPr_def_10,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8810,c_50]) ).
tcf(c_14245,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,iPr_def_11,X0,X1)
| ~ s_e(iPr_def_11,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_8811,c_50]) ).
tcf(c_14246,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,iPr_def_10,X0,X1)
| ~ s_e(iPr_def_10,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_8812,c_50]) ).
tcf(c_14247,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,iPr_def_11,X0,X1)
| ~ s_e(iPr_def_11,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_8813,c_50]) ).
tcf(c_14248,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,sK0,X0,X1)
| ~ s_e(sK5,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_8845,c_50]) ).
tcf(c_14249,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,sK1,X0,X1)
| ~ s_e(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_8848,c_50]) ).
tcf(c_14250,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,sK2,X0,X1)
| ~ s_e(sK1,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8850,c_50]) ).
tcf(c_14251,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,sK1,X0,X1)
| ~ s_e(sK5,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_8851,c_50]) ).
tcf(c_14252,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,sK2,X0,X1)
| ~ s_e(sK0,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_8853,c_50]) ).
tcf(c_14253,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_8889,c_50]) ).
tcf(c_14254,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_11,X0),sK2,X1,X2)
| ~ s_e(sK1,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8898,c_50]) ).
tcf(c_14255,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,sK5,X1,X2)
| ~ s_e(sK0,s(iPr_def_10,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_9156,c_50]) ).
tcf(c_14256,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,X0,X1,X2)
| ~ s_e(s(iPr_def_10,X0),sK0,X1,X2) ),
inference(superposition,[status(thm)],[c_9157,c_50]) ).
tcf(c_14257,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,sK1,X1,X2)
| ~ s_e(sK2,s(iPr_def_11,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_9346,c_50]) ).
tcf(c_14605,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_14608,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_277,c_63]) ).
tcf(c_14625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X0,X3,X4)
| ~ s_e(s(midpoint(X0,X1),X2),X1,X3,X4) ),
inference(superposition,[status(thm)],[c_8415,c_63]) ).
tcf(c_14639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,midpoint(X1,X0),X2,X3)
| ~ s_e(X0,midpoint(X1,X0),X2,X3) ),
inference(superposition,[status(thm)],[c_8455,c_63]) ).
tcf(c_14652,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_8786,c_63]) ).
tcf(c_14660,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,sK0,X1,X2)
| ~ s_e(sK5,s(iPr_def_10,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_8801,c_63]) ).
tcf(c_14661,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,sK2,X1,X2)
| ~ s_e(sK1,s(iPr_def_11,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_8802,c_63]) ).
tcf(c_14665,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK0,X0,X1,X2)
| ~ s_e(s(iPr_def_10,X0),sK5,X1,X2) ),
inference(superposition,[status(thm)],[c_8807,c_63]) ).
tcf(c_14666,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X0,X1,X2)
| ~ s_e(s(iPr_def_11,X0),sK1,X1,X2) ),
inference(superposition,[status(thm)],[c_8808,c_63]) ).
tcf(c_14678,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK1,X0,X1,X2)
| ~ s_e(s(iPr_def_11,X0),sK2,X1,X2) ),
inference(superposition,[status(thm)],[c_8898,c_63]) ).
tcf(c_14740,plain,
! [X0: $i] : s_e(sK2,sK5,s(X0,sK1),s(X0,sK0)),
inference(superposition,[status(thm)],[c_166,c_14183]) ).
tcf(c_14741,plain,
s_e(sK2,sK5,sK2,sK5),
inference(superposition,[status(thm)],[c_5721,c_14183]) ).
tcf(c_14742,plain,
! [X0: $i] :
( s_e(sK2,sK5,sK1,s(X0,sK0))
| ~ s_r(sK1,X0,sK0) ),
inference(superposition,[status(thm)],[c_277,c_14183]) ).
tcf(c_14743,plain,
s_e(sK2,sK5,sK1,s(sK1,sK0)),
inference(superposition,[status(thm)],[c_8176,c_14183]) ).
tcf(c_14744,plain,
! [X0: $i] : s_e(sK2,sK5,X0,s(midpoint(sK1,X0),sK0)),
inference(superposition,[status(thm)],[c_8408,c_14183]) ).
tcf(c_14745,plain,
s_e(sK2,sK5,sK2,s(iPr_def_11,sK0)),
inference(superposition,[status(thm)],[c_8412,c_14183]) ).
tcf(c_14746,plain,
s_e(sK2,sK5,s(sK0,sK1),sK0),
inference(superposition,[status(thm)],[c_8414,c_14183]) ).
tcf(c_14747,plain,
! [X0: $i] : s_e(sK2,sK5,s(midpoint(sK0,X0),sK1),X0),
inference(superposition,[status(thm)],[c_8415,c_14183]) ).
tcf(c_14748,plain,
s_e(sK2,sK5,s(iPr_def_10,sK1),sK5),
inference(superposition,[status(thm)],[c_8416,c_14183]) ).
tcf(c_14749,plain,
! [X0: $i] : s_e(sK2,sK5,X0,s(midpoint(X0,sK1),sK0)),
inference(superposition,[status(thm)],[c_8479,c_14183]) ).
tcf(c_14750,plain,
! [X0: $i] : s_e(sK2,sK5,s(midpoint(X0,sK0),sK1),X0),
inference(superposition,[status(thm)],[c_8726,c_14183]) ).
tcf(c_14751,plain,
! [X0: $i,X1: $i] : s_e(sK2,sK5,X0,ext(X1,X0,sK1,sK0)),
inference(superposition,[status(thm)],[c_8752,c_14183]) ).
tcf(c_14752,plain,
s_e(sK2,sK5,sK0,s(sK0,sK1)),
inference(superposition,[status(thm)],[c_8794,c_14183]) ).
tcf(c_14753,plain,
s_e(sK2,sK5,sK5,s(iPr_def_10,sK1)),
inference(superposition,[status(thm)],[c_8801,c_14183]) ).
tcf(c_14754,plain,
s_e(sK2,sK5,s(sK1,sK0),sK1),
inference(superposition,[status(thm)],[c_8806,c_14183]) ).
tcf(c_14755,plain,
s_e(sK2,sK5,sK5,sK2),
inference(superposition,[status(thm)],[c_8850,c_14183]) ).
tcf(c_14756,plain,
s_e(sK2,sK5,s(iPr_def_11,sK0),sK2),
inference(superposition,[status(thm)],[c_8898,c_14183]) ).
tcf(c_14902,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,sK5,X0,X1)
| ~ s_e(sK1,s(sK1,sK0),X0,X1) ),
inference(superposition,[status(thm)],[c_14743,c_63]) ).
tcf(c_14903,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,s(sK1,sK0),X0,X1)
| ~ s_e(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_14743,c_50]) ).
tcf(c_14904,plain,
! [X0: $i] :
( le(sK2,sK5,sK1,X0)
| ~ s_t(sK1,s(sK1,sK0),X0) ),
inference(superposition,[status(thm)],[c_14743,c_261]) ).
tcf(c_14905,plain,
! [X0: $i] :
( le(sK2,X0,sK1,s(sK1,sK0))
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14743,c_113]) ).
tcf(c_14906,plain,
s_e(sK5,sK2,s(sK1,sK0),sK1),
inference(superposition,[status(thm)],[c_14743,c_70]) ).
tcf(c_14908,plain,
s_e(sK5,sK2,sK1,s(sK1,sK0)),
inference(superposition,[status(thm)],[c_14743,c_64]) ).
tcf(c_14909,plain,
s_e(sK1,s(sK1,sK0),sK2,sK5),
inference(superposition,[status(thm)],[c_14743,c_62]) ).
tcf(c_14955,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,sK5,X0,X1)
| ~ s_e(sK2,s(iPr_def_11,sK0),X0,X1) ),
inference(superposition,[status(thm)],[c_14745,c_63]) ).
tcf(c_14956,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,s(iPr_def_11,sK0),X0,X1)
| ~ s_e(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_14745,c_50]) ).
tcf(c_14957,plain,
! [X0: $i] :
( le(sK2,sK5,sK2,X0)
| ~ s_t(sK2,s(iPr_def_11,sK0),X0) ),
inference(superposition,[status(thm)],[c_14745,c_261]) ).
tcf(c_14958,plain,
! [X0: $i] :
( le(sK2,X0,sK2,s(iPr_def_11,sK0))
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14745,c_113]) ).
tcf(c_14959,plain,
s_e(sK5,sK2,s(iPr_def_11,sK0),sK2),
inference(superposition,[status(thm)],[c_14745,c_70]) ).
tcf(c_14961,plain,
s_e(sK5,sK2,sK2,s(iPr_def_11,sK0)),
inference(superposition,[status(thm)],[c_14745,c_64]) ).
tcf(c_14962,plain,
s_e(sK2,s(iPr_def_11,sK0),sK2,sK5),
inference(superposition,[status(thm)],[c_14745,c_62]) ).
tcf(c_14963,plain,
! [X0: $i,X1: $i] :
( s_t(midpoint(X1,X0),sK2,midpoint(sK5,s(iPr_def_11,sK0)))
| ~ s_t(X1,sK2,sK5)
| ~ s_e(sK2,X1,sK2,X0)
| ~ s_t(X0,sK2,s(iPr_def_11,sK0)) ),
inference(superposition,[status(thm)],[c_14745,c_2699]) ).
tcf(c_14964,plain,
( ( s(iPr_def_11,sK0) = sK5 )
| ~ s_t(sK2,s(iPr_def_11,sK0),sK5) ),
inference(superposition,[status(thm)],[c_14745,c_122]) ).
tcf(c_14984,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,sK5,X0,X1)
| ~ s_e(s(sK0,sK1),sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_14746,c_63]) ).
tcf(c_14985,plain,
! [X0: $i,X1: $i] :
( s_e(s(sK0,sK1),sK0,X0,X1)
| ~ s_e(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_14746,c_50]) ).
tcf(c_14986,plain,
! [X0: $i] :
( le(sK2,sK5,s(sK0,sK1),X0)
| ~ s_t(s(sK0,sK1),sK0,X0) ),
inference(superposition,[status(thm)],[c_14746,c_261]) ).
tcf(c_14987,plain,
! [X0: $i] :
( le(sK2,X0,s(sK0,sK1),sK0)
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14746,c_113]) ).
tcf(c_14988,plain,
s_e(sK5,sK2,sK0,s(sK0,sK1)),
inference(superposition,[status(thm)],[c_14746,c_70]) ).
tcf(c_14990,plain,
s_e(sK5,sK2,s(sK0,sK1),sK0),
inference(superposition,[status(thm)],[c_14746,c_64]) ).
tcf(c_14991,plain,
s_e(s(sK0,sK1),sK0,sK2,sK5),
inference(superposition,[status(thm)],[c_14746,c_62]) ).
tcf(c_15023,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,sK5,X0,X1)
| ~ s_e(s(iPr_def_10,sK1),sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_14748,c_63]) ).
tcf(c_15024,plain,
! [X0: $i,X1: $i] :
( s_e(s(iPr_def_10,sK1),sK5,X0,X1)
| ~ s_e(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_14748,c_50]) ).
tcf(c_15025,plain,
! [X0: $i] :
( le(sK2,sK5,s(iPr_def_10,sK1),X0)
| ~ s_t(s(iPr_def_10,sK1),sK5,X0) ),
inference(superposition,[status(thm)],[c_14748,c_261]) ).
tcf(c_15026,plain,
! [X0: $i] :
( le(sK2,X0,s(iPr_def_10,sK1),sK5)
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14748,c_113]) ).
tcf(c_15027,plain,
s_e(sK5,sK2,sK5,s(iPr_def_10,sK1)),
inference(superposition,[status(thm)],[c_14748,c_70]) ).
tcf(c_15029,plain,
s_e(sK5,sK2,s(iPr_def_10,sK1),sK5),
inference(superposition,[status(thm)],[c_14748,c_64]) ).
tcf(c_15030,plain,
s_e(s(iPr_def_10,sK1),sK5,sK2,sK5),
inference(superposition,[status(thm)],[c_14748,c_62]) ).
tcf(c_15043,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,sK5,X0,X1)
| ~ s_e(sK0,s(sK0,sK1),X0,X1) ),
inference(superposition,[status(thm)],[c_14752,c_63]) ).
tcf(c_15044,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,s(sK0,sK1),X0,X1)
| ~ s_e(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_14752,c_50]) ).
tcf(c_15045,plain,
! [X0: $i] :
( le(sK2,sK5,sK0,X0)
| ~ s_t(sK0,s(sK0,sK1),X0) ),
inference(superposition,[status(thm)],[c_14752,c_261]) ).
tcf(c_15046,plain,
! [X0: $i] :
( le(sK2,X0,sK0,s(sK0,sK1))
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14752,c_113]) ).
tcf(c_15050,plain,
s_e(sK0,s(sK0,sK1),sK2,sK5),
inference(superposition,[status(thm)],[c_14752,c_62]) ).
tcf(c_15063,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,sK5,X0,X1)
| ~ s_e(sK5,s(iPr_def_10,sK1),X0,X1) ),
inference(superposition,[status(thm)],[c_14753,c_63]) ).
tcf(c_15064,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,s(iPr_def_10,sK1),X0,X1)
| ~ s_e(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_14753,c_50]) ).
tcf(c_15065,plain,
! [X0: $i] :
( le(sK2,sK5,sK5,X0)
| ~ s_t(sK5,s(iPr_def_10,sK1),X0) ),
inference(superposition,[status(thm)],[c_14753,c_261]) ).
tcf(c_15066,plain,
! [X0: $i] :
( le(sK2,X0,sK5,s(iPr_def_10,sK1))
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14753,c_113]) ).
tcf(c_15070,plain,
s_e(sK5,s(iPr_def_10,sK1),sK2,sK5),
inference(superposition,[status(thm)],[c_14753,c_62]) ).
tcf(c_15109,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_8789,c_63]) ).
tcf(c_15110,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_8789,c_50]) ).
tcf(c_15111,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_8789,c_261]) ).
tcf(c_15112,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_8789,c_113]) ).
tcf(c_15118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(midpoint(X3,X0),s(X1,X2),midpoint(X2,s(X1,s(X1,X2))))
| ~ s_t(X3,s(X1,X2),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_8789,c_2699]) ).
tcf(c_15120,plain,
! [X0: $i] : s_e(sK2,sK5,s(X0,sK0),s(X0,sK1)),
inference(superposition,[status(thm)],[c_8789,c_14183]) ).
tcf(c_15155,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_15156,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_15157,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_361,c_116]) ).
tcf(c_15158,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_359,c_116]) ).
tcf(c_15159,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK1,X2,X0,X1)
| ~ s_t(sK1,X2,sK0)
| ~ le(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_12283,c_116]) ).
tcf(c_15160,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,X2,X0,X1)
| ~ s_t(sK2,X2,sK5)
| ~ le(sK1,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_12326,c_116]) ).
tcf(c_15161,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK0,X2,X0,X1)
| ~ s_t(sK0,X2,sK1)
| ~ le(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_12327,c_116]) ).
tcf(c_15162,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK1,sK0,X1,X2)
| ~ s_t(sK2,sK5,X0)
| ~ le(sK2,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_13727,c_116]) ).
tcf(c_15226,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_15227,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_361,c_117]) ).
tcf(c_15228,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_359,c_117]) ).
tcf(c_15229,plain,
! [X0: $i] :
( s_e(sK1,X0,sK2,sK5)
| ~ s_t(sK1,X0,sK0)
| ~ le(sK2,sK5,sK1,X0) ),
inference(superposition,[status(thm)],[c_12283,c_117]) ).
tcf(c_15230,plain,
! [X0: $i] :
( s_e(sK2,X0,sK1,sK0)
| ~ s_t(sK2,X0,sK5)
| ~ le(sK1,sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_12326,c_117]) ).
tcf(c_15231,plain,
! [X0: $i] :
( s_e(sK0,X0,sK2,sK5)
| ~ s_t(sK0,X0,sK1)
| ~ le(sK2,sK5,sK0,X0) ),
inference(superposition,[status(thm)],[c_12327,c_117]) ).
tcf(c_15232,plain,
! [X0: $i] :
( s_e(sK1,sK0,sK2,X0)
| ~ s_t(sK2,sK5,X0)
| ~ le(sK2,X0,sK1,sK0) ),
inference(superposition,[status(thm)],[c_13727,c_117]) ).
tcf(c_15257,plain,
( sameside(sK3,s(sK3,sK0),sK4)
| s_t(sK3,s(sK3,sK0),sK4) ),
inference(superposition,[status(thm)],[c_11251,c_134]) ).
tcf(c_15258,plain,
s_col(sK3,sK4,s(sK3,sK0)),
inference(superposition,[status(thm)],[c_11251,c_98]) ).
tcf(c_15259,plain,
s_col(s(sK3,sK0),sK3,sK4),
inference(superposition,[status(thm)],[c_11251,c_97]) ).
tcf(c_15260,plain,
s_col(sK4,s(sK3,sK0),sK3),
inference(superposition,[status(thm)],[c_11251,c_96]) ).
tcf(c_15265,plain,
( sameside(s(sK3,sK0),sK4,sK3)
| s_t(s(sK3,sK0),sK4,sK3) ),
inference(superposition,[status(thm)],[c_11252,c_134]) ).
tcf(c_15279,plain,
! [X0: $i] :
( s_t(s(sK3,sK0),sK3,X0)
| ~ s_t(s(sK3,sK0),sK4,X0) ),
inference(superposition,[status(thm)],[c_11254,c_80]) ).
tcf(c_15280,plain,
! [X0: $i] :
( s_t(s(sK3,sK0),X0,sK4)
| ~ s_t(sK3,X0,sK4) ),
inference(superposition,[status(thm)],[c_11254,c_79]) ).
tcf(c_15281,plain,
! [X0: $i] :
( s_t(sK3,sK4,X0)
| ~ s_t(s(sK3,sK0),sK4,X0) ),
inference(superposition,[status(thm)],[c_11254,c_77]) ).
tcf(c_15282,plain,
! [X0: $i] :
( s_t(s(sK3,sK0),sK3,X0)
| ~ s_t(sK3,X0,sK4) ),
inference(superposition,[status(thm)],[c_11254,c_76]) ).
tcf(c_15283,plain,
( ( s(sK3,sK0) = sK3 )
| ~ s_t(sK3,s(sK3,sK0),sK4) ),
inference(superposition,[status(thm)],[c_11254,c_75]) ).
tcf(c_15284,plain,
~ sameside(s(sK3,sK0),sK3,sK4),
inference(superposition,[status(thm)],[c_11254,c_133]) ).
tcf(c_15404,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,sK5,X0,X1)
| ~ s_e(s(sK1,sK0),sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_14754,c_63]) ).
tcf(c_15405,plain,
! [X0: $i,X1: $i] :
( s_e(s(sK1,sK0),sK1,X0,X1)
| ~ s_e(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_14754,c_50]) ).
tcf(c_15406,plain,
! [X0: $i] :
( le(sK2,sK5,s(sK1,sK0),X0)
| ~ s_t(s(sK1,sK0),sK1,X0) ),
inference(superposition,[status(thm)],[c_14754,c_261]) ).
tcf(c_15407,plain,
! [X0: $i] :
( le(sK2,X0,s(sK1,sK0),sK1)
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14754,c_113]) ).
tcf(c_15411,plain,
s_e(s(sK1,sK0),sK1,sK2,sK5),
inference(superposition,[status(thm)],[c_14754,c_62]) ).
tcf(c_15424,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,sK5,X0,X1)
| ~ s_e(s(iPr_def_11,sK0),sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_14756,c_63]) ).
tcf(c_15425,plain,
! [X0: $i,X1: $i] :
( s_e(s(iPr_def_11,sK0),sK2,X0,X1)
| ~ s_e(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_14756,c_50]) ).
tcf(c_15426,plain,
! [X0: $i] :
( le(sK2,sK5,s(iPr_def_11,sK0),X0)
| ~ s_t(s(iPr_def_11,sK0),sK2,X0) ),
inference(superposition,[status(thm)],[c_14756,c_261]) ).
tcf(c_15427,plain,
! [X0: $i] :
( le(sK2,X0,s(iPr_def_11,sK0),sK2)
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14756,c_113]) ).
tcf(c_15431,plain,
s_e(s(iPr_def_11,sK0),sK2,sK2,sK5),
inference(superposition,[status(thm)],[c_14756,c_62]) ).
tcf(c_15450,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,sK5,X1,X2)
| ~ s_e(s(X0,sK1),s(X0,sK0),X1,X2) ),
inference(superposition,[status(thm)],[c_14740,c_63]) ).
tcf(c_15451,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(X2,sK1),s(X2,sK0),X0,X1)
| ~ s_e(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_14740,c_50]) ).
tcf(c_15452,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,s(X0,sK1),X1)
| ~ s_t(s(X0,sK1),s(X0,sK0),X1) ),
inference(superposition,[status(thm)],[c_14740,c_261]) ).
tcf(c_15453,plain,
! [X0: $i,X1: $i] :
( le(sK2,X0,s(X1,sK1),s(X1,sK0))
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14740,c_113]) ).
tcf(c_15454,plain,
! [X0: $i] : s_e(sK5,sK2,s(X0,sK0),s(X0,sK1)),
inference(superposition,[status(thm)],[c_14740,c_70]) ).
tcf(c_15456,plain,
! [X0: $i] : s_e(sK5,sK2,s(X0,sK1),s(X0,sK0)),
inference(superposition,[status(thm)],[c_14740,c_64]) ).
tcf(c_15457,plain,
! [X0: $i] : s_e(s(X0,sK1),s(X0,sK0),sK2,sK5),
inference(superposition,[status(thm)],[c_14740,c_62]) ).
tcf(c_15475,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,sK5,X1,X2)
| ~ s_e(X0,s(midpoint(sK1,X0),sK0),X1,X2) ),
inference(superposition,[status(thm)],[c_14744,c_63]) ).
tcf(c_15476,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,s(midpoint(sK1,X2),sK0),X0,X1)
| ~ s_e(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_14744,c_50]) ).
tcf(c_15477,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X0,X1)
| ~ s_t(X0,s(midpoint(sK1,X0),sK0),X1) ),
inference(superposition,[status(thm)],[c_14744,c_261]) ).
tcf(c_15478,plain,
! [X0: $i,X1: $i] :
( le(sK2,X0,X1,s(midpoint(sK1,X1),sK0))
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14744,c_113]) ).
tcf(c_15479,plain,
! [X0: $i] : s_e(sK5,sK2,s(midpoint(sK1,X0),sK0),X0),
inference(superposition,[status(thm)],[c_14744,c_70]) ).
tcf(c_15480,plain,
! [X0: $i] : s_e(sK2,sK5,s(midpoint(sK1,X0),sK0),X0),
inference(superposition,[status(thm)],[c_14744,c_65]) ).
tcf(c_15481,plain,
! [X0: $i] : s_e(sK5,sK2,X0,s(midpoint(sK1,X0),sK0)),
inference(superposition,[status(thm)],[c_14744,c_64]) ).
tcf(c_15482,plain,
! [X0: $i] : s_e(X0,s(midpoint(sK1,X0),sK0),sK2,sK5),
inference(superposition,[status(thm)],[c_14744,c_62]) ).
tcf(c_15483,plain,
! [X0: $i,X1: $i] :
( s_t(midpoint(X1,X0),sK2,midpoint(sK5,s(midpoint(sK1,sK2),sK0)))
| ~ s_t(X1,sK2,sK5)
| ~ s_e(sK2,X1,sK2,X0)
| ~ s_t(X0,sK2,s(midpoint(sK1,sK2),sK0)) ),
inference(superposition,[status(thm)],[c_14744,c_2699]) ).
tcf(c_15484,plain,
( ( s(midpoint(sK1,sK2),sK0) = sK5 )
| ~ s_t(sK2,s(midpoint(sK1,sK2),sK0),sK5) ),
inference(superposition,[status(thm)],[c_14744,c_122]) ).
tcf(c_15512,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,sK5,X1,X2)
| ~ s_e(s(midpoint(sK0,X0),sK1),X0,X1,X2) ),
inference(superposition,[status(thm)],[c_14747,c_63]) ).
tcf(c_15513,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(midpoint(sK0,X2),sK1),X2,X0,X1)
| ~ s_e(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_14747,c_50]) ).
tcf(c_15514,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,s(midpoint(sK0,X0),sK1),X1)
| ~ s_t(s(midpoint(sK0,X0),sK1),X0,X1) ),
inference(superposition,[status(thm)],[c_14747,c_261]) ).
tcf(c_15515,plain,
! [X0: $i,X1: $i] :
( le(sK2,X0,s(midpoint(sK0,X1),sK1),X1)
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14747,c_113]) ).
tcf(c_15516,plain,
! [X0: $i] : s_e(sK5,sK2,X0,s(midpoint(sK0,X0),sK1)),
inference(superposition,[status(thm)],[c_14747,c_70]) ).
tcf(c_15517,plain,
! [X0: $i] : s_e(sK2,sK5,X0,s(midpoint(sK0,X0),sK1)),
inference(superposition,[status(thm)],[c_14747,c_65]) ).
tcf(c_15518,plain,
! [X0: $i] : s_e(sK5,sK2,s(midpoint(sK0,X0),sK1),X0),
inference(superposition,[status(thm)],[c_14747,c_64]) ).
tcf(c_15519,plain,
! [X0: $i] : s_e(s(midpoint(sK0,X0),sK1),X0,sK2,sK5),
inference(superposition,[status(thm)],[c_14747,c_62]) ).
tcf(c_15540,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,sK5,X1,X2)
| ~ s_e(X0,s(midpoint(X0,sK1),sK0),X1,X2) ),
inference(superposition,[status(thm)],[c_14749,c_63]) ).
tcf(c_15541,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,s(midpoint(X2,sK1),sK0),X0,X1)
| ~ s_e(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_14749,c_50]) ).
tcf(c_15542,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X0,X1)
| ~ s_t(X0,s(midpoint(X0,sK1),sK0),X1) ),
inference(superposition,[status(thm)],[c_14749,c_261]) ).
tcf(c_15543,plain,
! [X0: $i,X1: $i] :
( le(sK2,X0,X1,s(midpoint(X1,sK1),sK0))
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14749,c_113]) ).
tcf(c_15544,plain,
! [X0: $i] : s_e(sK5,sK2,s(midpoint(X0,sK1),sK0),X0),
inference(superposition,[status(thm)],[c_14749,c_70]) ).
tcf(c_15545,plain,
! [X0: $i] : s_e(sK2,sK5,s(midpoint(X0,sK1),sK0),X0),
inference(superposition,[status(thm)],[c_14749,c_65]) ).
tcf(c_15546,plain,
! [X0: $i] : s_e(sK5,sK2,X0,s(midpoint(X0,sK1),sK0)),
inference(superposition,[status(thm)],[c_14749,c_64]) ).
tcf(c_15547,plain,
! [X0: $i] : s_e(X0,s(midpoint(X0,sK1),sK0),sK2,sK5),
inference(superposition,[status(thm)],[c_14749,c_62]) ).
tcf(c_15548,plain,
! [X0: $i,X1: $i] :
( s_t(midpoint(X1,X0),sK2,midpoint(sK5,s(midpoint(sK2,sK1),sK0)))
| ~ s_t(X1,sK2,sK5)
| ~ s_e(sK2,X1,sK2,X0)
| ~ s_t(X0,sK2,s(midpoint(sK2,sK1),sK0)) ),
inference(superposition,[status(thm)],[c_14749,c_2699]) ).
tcf(c_15549,plain,
( ( s(midpoint(sK2,sK1),sK0) = sK5 )
| ~ s_t(sK2,s(midpoint(sK2,sK1),sK0),sK5) ),
inference(superposition,[status(thm)],[c_14749,c_122]) ).
tcf(c_15570,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,sK5,X1,X2)
| ~ s_e(s(midpoint(X0,sK0),sK1),X0,X1,X2) ),
inference(superposition,[status(thm)],[c_14750,c_63]) ).
tcf(c_15571,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(midpoint(X2,sK0),sK1),X2,X0,X1)
| ~ s_e(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_14750,c_50]) ).
tcf(c_15572,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,s(midpoint(X0,sK0),sK1),X1)
| ~ s_t(s(midpoint(X0,sK0),sK1),X0,X1) ),
inference(superposition,[status(thm)],[c_14750,c_261]) ).
tcf(c_15573,plain,
! [X0: $i,X1: $i] :
( le(sK2,X0,s(midpoint(X1,sK0),sK1),X1)
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14750,c_113]) ).
tcf(c_15574,plain,
! [X0: $i] : s_e(sK5,sK2,X0,s(midpoint(X0,sK0),sK1)),
inference(superposition,[status(thm)],[c_14750,c_70]) ).
tcf(c_15575,plain,
! [X0: $i] : s_e(sK2,sK5,X0,s(midpoint(X0,sK0),sK1)),
inference(superposition,[status(thm)],[c_14750,c_65]) ).
tcf(c_15576,plain,
! [X0: $i] : s_e(sK5,sK2,s(midpoint(X0,sK0),sK1),X0),
inference(superposition,[status(thm)],[c_14750,c_64]) ).
tcf(c_15577,plain,
! [X0: $i] : s_e(s(midpoint(X0,sK0),sK1),X0,sK2,sK5),
inference(superposition,[status(thm)],[c_14750,c_62]) ).
tcf(c_15594,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(sK2,sK5,X2,X3)
| ~ s_e(X0,ext(X1,X0,sK1,sK0),X2,X3) ),
inference(superposition,[status(thm)],[c_14751,c_63]) ).
tcf(c_15595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,ext(X3,X2,sK1,sK0),X0,X1)
| ~ s_e(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_14751,c_50]) ).
tcf(c_15596,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,sK5,X0,X2)
| ~ s_t(X0,ext(X1,X0,sK1,sK0),X2) ),
inference(superposition,[status(thm)],[c_14751,c_261]) ).
tcf(c_15597,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,X0,X1,ext(X2,X1,sK1,sK0))
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14751,c_113]) ).
tcf(c_15598,plain,
! [X0: $i,X1: $i] : s_e(sK5,sK2,ext(X0,X1,sK1,sK0),X1),
inference(superposition,[status(thm)],[c_14751,c_70]) ).
tcf(c_15599,plain,
! [X0: $i,X1: $i] : s_e(sK2,sK5,ext(X0,X1,sK1,sK0),X1),
inference(superposition,[status(thm)],[c_14751,c_65]) ).
tcf(c_15600,plain,
! [X0: $i,X1: $i] : s_e(sK5,sK2,X0,ext(X1,X0,sK1,sK0)),
inference(superposition,[status(thm)],[c_14751,c_64]) ).
tcf(c_15601,plain,
! [X0: $i,X1: $i] : s_e(X0,ext(X1,X0,sK1,sK0),sK2,sK5),
inference(superposition,[status(thm)],[c_14751,c_62]) ).
tcf(c_15602,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(midpoint(X2,X0),sK2,midpoint(sK5,ext(X1,sK2,sK1,sK0)))
| ~ s_t(X2,sK2,sK5)
| ~ s_e(sK2,X2,sK2,X0)
| ~ s_t(X0,sK2,ext(X1,sK2,sK1,sK0)) ),
inference(superposition,[status(thm)],[c_14751,c_2699]) ).
tcf(c_15603,plain,
! [X0: $i] :
( ( ext(X0,sK2,sK1,sK0) = sK5 )
| ~ s_t(sK2,ext(X0,sK2,sK1,sK0),sK5) ),
inference(superposition,[status(thm)],[c_14751,c_122]) ).
tcf(c_15666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,midpoint(X0,X1),X2,X3)
| ~ s_e(midpoint(X0,X1),X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8791,c_63]) ).
tcf(c_15667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(midpoint(X0,X1),X1,X2,X3)
| ~ s_e(X0,midpoint(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_8791,c_50]) ).
tcf(c_15668,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,midpoint(X0,X1),midpoint(X0,X1),X2)
| ~ s_t(midpoint(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_8791,c_261]) ).
tcf(c_15669,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,midpoint(X0,X2),X2)
| ~ s_t(X0,X1,midpoint(X0,X2)) ),
inference(superposition,[status(thm)],[c_8791,c_113]) ).
tcf(c_15703,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_15704,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midpoint(s(X0,X1),X2) = X0 )
| ( s(X0,s(midpoint(s(X0,X1),X2),X1)) != X2 ) ),
inference(superposition,[status(thm)],[c_1833,c_173]) ).
tcf(c_15705,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_15706,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_15707,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midpoint(X0,X1) = X2 )
| ( s(midpoint(X0,X1),s(X2,X0)) != s(X2,X1) ) ),
inference(superposition,[status(thm)],[c_1833,c_173]) ).
tcf(c_15708,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( s(iPr_def_10,s(X0,sK0)) != s(X0,sK5) ) ),
inference(superposition,[status(thm)],[c_8223,c_173]) ).
tcf(c_15709,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ( s(iPr_def_11,s(X0,sK2)) != s(X0,sK1) ) ),
inference(superposition,[status(thm)],[c_8224,c_173]) ).
tcf(c_15710,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( s(iPr_def_10,s(X0,sK5)) != s(X0,sK0) ) ),
inference(superposition,[status(thm)],[c_8235,c_173]) ).
tcf(c_15711,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ( s(iPr_def_11,s(X0,sK1)) != s(X0,sK2) ) ),
inference(superposition,[status(thm)],[c_8241,c_173]) ).
tcf(c_15810,plain,
( sameside(sK3,s(sK3,sK2),sK5)
| s_t(sK3,s(sK3,sK2),sK5) ),
inference(superposition,[status(thm)],[c_11283,c_134]) ).
tcf(c_15811,plain,
s_col(sK3,sK5,s(sK3,sK2)),
inference(superposition,[status(thm)],[c_11283,c_98]) ).
tcf(c_15812,plain,
s_col(s(sK3,sK2),sK3,sK5),
inference(superposition,[status(thm)],[c_11283,c_97]) ).
tcf(c_15813,plain,
s_col(sK5,s(sK3,sK2),sK3),
inference(superposition,[status(thm)],[c_11283,c_96]) ).
tcf(c_15818,plain,
( sameside(s(sK3,sK2),sK5,sK3)
| s_t(s(sK3,sK2),sK5,sK3) ),
inference(superposition,[status(thm)],[c_11284,c_134]) ).
tcf(c_15832,plain,
! [X0: $i] :
( s_t(s(sK3,sK2),sK3,X0)
| ~ s_t(s(sK3,sK2),sK5,X0) ),
inference(superposition,[status(thm)],[c_11286,c_80]) ).
tcf(c_15833,plain,
! [X0: $i] :
( s_t(s(sK3,sK2),X0,sK5)
| ~ s_t(sK3,X0,sK5) ),
inference(superposition,[status(thm)],[c_11286,c_79]) ).
tcf(c_15834,plain,
! [X0: $i] :
( s_t(sK3,sK5,X0)
| ~ s_t(s(sK3,sK2),sK5,X0) ),
inference(superposition,[status(thm)],[c_11286,c_77]) ).
tcf(c_15835,plain,
! [X0: $i] :
( s_t(s(sK3,sK2),sK3,X0)
| ~ s_t(sK3,X0,sK5) ),
inference(superposition,[status(thm)],[c_11286,c_76]) ).
tcf(c_15836,plain,
( ( s(sK3,sK2) = sK3 )
| ~ s_t(sK3,s(sK3,sK2),sK5) ),
inference(superposition,[status(thm)],[c_11286,c_75]) ).
tcf(c_15837,plain,
~ sameside(s(sK3,sK2),sK3,sK5),
inference(superposition,[status(thm)],[c_11286,c_133]) ).
tcf(c_15903,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,sK5,X1,X2)
| ~ s_e(s(X0,sK0),s(X0,sK1),X1,X2) ),
inference(superposition,[status(thm)],[c_15120,c_63]) ).
tcf(c_15904,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(X2,sK0),s(X2,sK1),X0,X1)
| ~ s_e(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_15120,c_50]) ).
tcf(c_15905,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,s(X0,sK0),X1)
| ~ s_t(s(X0,sK0),s(X0,sK1),X1) ),
inference(superposition,[status(thm)],[c_15120,c_261]) ).
tcf(c_15906,plain,
! [X0: $i,X1: $i] :
( le(sK2,X0,s(X1,sK0),s(X1,sK1))
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_15120,c_113]) ).
tcf(c_15910,plain,
! [X0: $i] : s_e(s(X0,sK0),s(X0,sK1),sK2,sK5),
inference(superposition,[status(thm)],[c_15120,c_62]) ).
tcf(c_15968,plain,
! [X0: $i] :
( s_e(sK2,sK5,sK1,X0)
| ~ s_t(sK1,sK0,X0)
| ~ le(sK1,X0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_13770,c_117]) ).
tcf(c_15969,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,sK5,X1,X2)
| ~ s_t(sK1,sK0,X0)
| ~ le(sK1,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_13770,c_116]) ).
tcf(c_15982,plain,
! [X0: $i] :
( s_e(sK0,sK1,sK2,X0)
| ~ s_t(sK2,sK5,X0)
| ~ le(sK2,X0,sK0,sK1) ),
inference(superposition,[status(thm)],[c_13773,c_117]) ).
tcf(c_15983,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK0,sK1,X1,X2)
| ~ s_t(sK2,sK5,X0)
| ~ le(sK2,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_13773,c_116]) ).
tcf(c_15998,plain,
! [X0: $i] : s_e(sK1,sK0,s(X0,sK2),s(X0,sK5)),
inference(superposition,[status(thm)],[c_166,c_14226]) ).
tcf(c_15999,plain,
! [X0: $i] :
( s_e(sK1,sK0,sK2,s(X0,sK5))
| ~ s_r(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_277,c_14226]) ).
tcf(c_16000,plain,
s_e(sK1,sK0,sK2,s(sK2,sK5)),
inference(superposition,[status(thm)],[c_8176,c_14226]) ).
tcf(c_16001,plain,
! [X0: $i] : s_e(sK1,sK0,X0,s(midpoint(sK2,X0),sK5)),
inference(superposition,[status(thm)],[c_8408,c_14226]) ).
tcf(c_16002,plain,
s_e(sK1,sK0,sK1,s(iPr_def_11,sK5)),
inference(superposition,[status(thm)],[c_8410,c_14226]) ).
tcf(c_16003,plain,
s_e(sK1,sK0,s(sK5,sK2),sK5),
inference(superposition,[status(thm)],[c_8414,c_14226]) ).
tcf(c_16004,plain,
! [X0: $i] : s_e(sK1,sK0,s(midpoint(sK5,X0),sK2),X0),
inference(superposition,[status(thm)],[c_8415,c_14226]) ).
tcf(c_16005,plain,
s_e(sK1,sK0,s(iPr_def_10,sK2),sK0),
inference(superposition,[status(thm)],[c_8418,c_14226]) ).
tcf(c_16006,plain,
! [X0: $i] : s_e(sK1,sK0,X0,s(midpoint(X0,sK2),sK5)),
inference(superposition,[status(thm)],[c_8479,c_14226]) ).
tcf(c_16007,plain,
! [X0: $i] : s_e(sK1,sK0,s(midpoint(X0,sK5),sK2),X0),
inference(superposition,[status(thm)],[c_8726,c_14226]) ).
tcf(c_16008,plain,
! [X0: $i,X1: $i] : s_e(sK1,sK0,X0,ext(X1,X0,sK2,sK5)),
inference(superposition,[status(thm)],[c_8752,c_14226]) ).
tcf(c_16009,plain,
s_e(sK1,sK0,sK1,sK0),
inference(superposition,[status(thm)],[c_8756,c_14226]) ).
tcf(c_16010,plain,
! [X0: $i] : s_e(sK1,sK0,s(X0,sK5),s(X0,sK2)),
inference(superposition,[status(thm)],[c_8789,c_14226]) ).
tcf(c_16011,plain,
s_e(sK1,sK0,sK5,s(sK5,sK2)),
inference(superposition,[status(thm)],[c_8794,c_14226]) ).
tcf(c_16012,plain,
s_e(sK1,sK0,sK0,s(iPr_def_10,sK2)),
inference(superposition,[status(thm)],[c_8803,c_14226]) ).
tcf(c_16013,plain,
s_e(sK1,sK0,s(sK2,sK5),sK2),
inference(superposition,[status(thm)],[c_8806,c_14226]) ).
tcf(c_16014,plain,
s_e(sK1,sK0,s(iPr_def_11,sK5),sK1),
inference(superposition,[status(thm)],[c_8808,c_14226]) ).
tcf(c_16015,plain,
s_e(sK1,sK0,sK0,sK1),
inference(superposition,[status(thm)],[c_8848,c_14226]) ).
tcf(c_16016,plain,
! [X0: $i] : s_e(sK1,sK0,s(X0,sK1),s(X0,sK0)),
inference(superposition,[status(thm)],[c_14740,c_14226]) ).
tcf(c_16017,plain,
s_e(sK1,sK0,sK1,s(sK1,sK0)),
inference(superposition,[status(thm)],[c_14743,c_14226]) ).
tcf(c_16018,plain,
! [X0: $i] : s_e(sK1,sK0,X0,s(midpoint(sK1,X0),sK0)),
inference(superposition,[status(thm)],[c_14744,c_14226]) ).
tcf(c_16019,plain,
s_e(sK1,sK0,sK2,s(iPr_def_11,sK0)),
inference(superposition,[status(thm)],[c_14745,c_14226]) ).
tcf(c_16020,plain,
s_e(sK1,sK0,s(sK0,sK1),sK0),
inference(superposition,[status(thm)],[c_14746,c_14226]) ).
tcf(c_16021,plain,
! [X0: $i] : s_e(sK1,sK0,s(midpoint(sK0,X0),sK1),X0),
inference(superposition,[status(thm)],[c_14747,c_14226]) ).
tcf(c_16022,plain,
s_e(sK1,sK0,s(iPr_def_10,sK1),sK5),
inference(superposition,[status(thm)],[c_14748,c_14226]) ).
tcf(c_16023,plain,
! [X0: $i] : s_e(sK1,sK0,X0,s(midpoint(X0,sK1),sK0)),
inference(superposition,[status(thm)],[c_14749,c_14226]) ).
tcf(c_16024,plain,
! [X0: $i] : s_e(sK1,sK0,s(midpoint(X0,sK0),sK1),X0),
inference(superposition,[status(thm)],[c_14750,c_14226]) ).
tcf(c_16025,plain,
! [X0: $i,X1: $i] : s_e(sK1,sK0,X0,ext(X1,X0,sK1,sK0)),
inference(superposition,[status(thm)],[c_14751,c_14226]) ).
tcf(c_16026,plain,
s_e(sK1,sK0,sK0,s(sK0,sK1)),
inference(superposition,[status(thm)],[c_14752,c_14226]) ).
tcf(c_16027,plain,
s_e(sK1,sK0,sK5,s(iPr_def_10,sK1)),
inference(superposition,[status(thm)],[c_14753,c_14226]) ).
tcf(c_16028,plain,
s_e(sK1,sK0,s(sK1,sK0),sK1),
inference(superposition,[status(thm)],[c_14754,c_14226]) ).
tcf(c_16029,plain,
s_e(sK1,sK0,s(iPr_def_11,sK0),sK2),
inference(superposition,[status(thm)],[c_14756,c_14226]) ).
tcf(c_16030,plain,
! [X0: $i] : s_e(sK1,sK0,s(X0,sK0),s(X0,sK1)),
inference(superposition,[status(thm)],[c_15120,c_14226]) ).
tcf(c_16071,plain,
! [X0: $i] :
( s_e(sK2,sK5,sK0,s(X0,sK1))
| ~ s_r(sK0,X0,sK1) ),
inference(superposition,[status(thm)],[c_277,c_14229]) ).
tcf(c_16080,plain,
! [X0: $i,X1: $i] : s_e(sK2,sK5,X0,ext(X1,X0,sK0,sK1)),
inference(superposition,[status(thm)],[c_8752,c_14229]) ).
tcf(c_16097,plain,
! [X0: $i] :
( s_e(sK2,sK5,sK1,X0)
| ~ s_r(sK1,midpoint(sK0,X0),sK0) ),
inference(superposition,[status(thm)],[c_1833,c_14742]) ).
tcf(c_16098,plain,
( s_e(sK2,sK5,sK1,sK5)
| ~ s_r(sK1,iPr_def_10,sK0) ),
inference(superposition,[status(thm)],[c_8223,c_14742]) ).
tcf(c_16099,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,sK5,X1,X2)
| ~ s_r(sK1,X0,sK0)
| ~ s_e(sK1,s(X0,sK0),X1,X2) ),
inference(superposition,[status(thm)],[c_14742,c_63]) ).
tcf(c_16100,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK1,s(X2,sK0),X0,X1)
| ~ s_r(sK1,X2,sK0)
| ~ s_e(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_14742,c_50]) ).
tcf(c_16101,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,sK1,X1)
| ~ s_r(sK1,X0,sK0)
| ~ s_t(sK1,s(X0,sK0),X1) ),
inference(superposition,[status(thm)],[c_14742,c_261]) ).
tcf(c_16102,plain,
! [X0: $i,X1: $i] :
( le(sK2,X0,sK1,s(X1,sK0))
| ~ s_r(sK1,X1,sK0)
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14742,c_113]) ).
tcf(c_16103,plain,
! [X0: $i] :
( s_e(sK5,sK2,s(X0,sK0),sK1)
| ~ s_r(sK1,X0,sK0) ),
inference(superposition,[status(thm)],[c_14742,c_70]) ).
tcf(c_16104,plain,
! [X0: $i] :
( s_e(sK2,sK5,s(X0,sK0),sK1)
| ~ s_r(sK1,X0,sK0) ),
inference(superposition,[status(thm)],[c_14742,c_65]) ).
tcf(c_16105,plain,
! [X0: $i] :
( s_e(sK5,sK2,sK1,s(X0,sK0))
| ~ s_r(sK1,X0,sK0) ),
inference(superposition,[status(thm)],[c_14742,c_64]) ).
tcf(c_16106,plain,
! [X0: $i] :
( s_e(sK1,s(X0,sK0),sK2,sK5)
| ~ s_r(sK1,X0,sK0) ),
inference(superposition,[status(thm)],[c_14742,c_62]) ).
tcf(c_16107,plain,
! [X0: $i] :
( s_e(sK1,sK0,sK1,s(X0,sK0))
| ~ s_r(sK1,X0,sK0) ),
inference(superposition,[status(thm)],[c_14742,c_14226]) ).
tcf(c_16217,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK4,X2)
| ~ le(sK0,sK3,X0,X1)
| ~ s_t(sK0,ins(X0,X1,sK0,sK3),X2) ),
inference(superposition,[status(thm)],[c_10944,c_80]) ).
tcf(c_16218,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,X0,ins(X1,X2,sK0,sK3))
| ~ le(sK0,sK3,X1,X2)
| ~ s_t(sK4,X0,ins(X1,X2,sK0,sK3)) ),
inference(superposition,[status(thm)],[c_10944,c_79]) ).
tcf(c_16219,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK4,ins(X0,X1,sK0,sK3),X2)
| ~ le(sK0,sK3,X0,X1)
| ~ s_t(sK0,ins(X0,X1,sK0,sK3),X2) ),
inference(superposition,[status(thm)],[c_10944,c_77]) ).
tcf(c_16220,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK4,X0)
| ~ le(sK0,sK3,X1,X2)
| ~ s_t(sK4,X0,ins(X1,X2,sK0,sK3)) ),
inference(superposition,[status(thm)],[c_10944,c_76]) ).
tcf(c_16221,plain,
! [X0: $i,X1: $i] :
( ( sK0 = sK4 )
| ~ le(sK0,sK3,X0,X1)
| ~ s_t(sK4,sK0,ins(X0,X1,sK0,sK3)) ),
inference(superposition,[status(thm)],[c_10944,c_75]) ).
tcf(c_16222,plain,
! [X0: $i,X1: $i] :
( ~ le(sK0,sK3,X0,X1)
| ~ sameside(sK0,sK4,ins(X0,X1,sK0,sK3)) ),
inference(superposition,[status(thm)],[c_10944,c_133]) ).
tcf(c_16223,plain,
! [X0: $i,X1: $i] :
( s_col(sK4,ins(X0,X1,sK0,sK3),sK0)
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_10944,c_253]) ).
tcf(c_16224,plain,
! [X0: $i,X1: $i] :
( s_col(ins(X0,X1,sK0,sK3),sK0,sK4)
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_10944,c_252]) ).
tcf(c_16225,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK4,ins(X0,X1,sK0,sK3))
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_10944,c_251]) ).
tcf(c_16226,plain,
! [X0: $i,X1: $i] :
( s_t(ins(X0,X1,sK0,sK3),sK4,sK0)
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_10944,c_73]) ).
tcf(c_16316,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK4,sK3,X2)
| ~ le(sK0,sK3,X0,X1)
| ~ s_t(sK4,ins(X0,X1,sK0,sK3),X2) ),
inference(superposition,[status(thm)],[c_10945,c_80]) ).
tcf(c_16317,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK4,X0,ins(X1,X2,sK0,sK3))
| ~ le(sK0,sK3,X1,X2)
| ~ s_t(sK3,X0,ins(X1,X2,sK0,sK3)) ),
inference(superposition,[status(thm)],[c_10945,c_79]) ).
tcf(c_16318,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK3,ins(X0,X1,sK0,sK3),X2)
| ~ le(sK0,sK3,X0,X1)
| ~ s_t(sK4,ins(X0,X1,sK0,sK3),X2) ),
inference(superposition,[status(thm)],[c_10945,c_77]) ).
tcf(c_16319,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK4,sK3,X0)
| ~ le(sK0,sK3,X1,X2)
| ~ s_t(sK3,X0,ins(X1,X2,sK0,sK3)) ),
inference(superposition,[status(thm)],[c_10945,c_76]) ).
tcf(c_16320,plain,
! [X0: $i,X1: $i] :
( ( sK3 = sK4 )
| ~ le(sK0,sK3,X0,X1)
| ~ s_t(sK3,sK4,ins(X0,X1,sK0,sK3)) ),
inference(superposition,[status(thm)],[c_10945,c_75]) ).
tcf(c_16321,plain,
! [X0: $i,X1: $i] :
( ~ le(sK0,sK3,X0,X1)
| ~ sameside(sK4,sK3,ins(X0,X1,sK0,sK3)) ),
inference(superposition,[status(thm)],[c_10945,c_133]) ).
tcf(c_16322,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,ins(X0,X1,sK0,sK3),sK4)
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_10945,c_253]) ).
tcf(c_16323,plain,
! [X0: $i,X1: $i] :
( s_col(ins(X0,X1,sK0,sK3),sK4,sK3)
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_10945,c_252]) ).
tcf(c_16324,plain,
! [X0: $i,X1: $i] :
( s_col(sK4,sK3,ins(X0,X1,sK0,sK3))
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_10945,c_251]) ).
tcf(c_16325,plain,
! [X0: $i,X1: $i] :
( s_t(ins(X0,X1,sK0,sK3),sK3,sK4)
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_10945,c_73]) ).
tcf(c_16373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,midpoint(X0,X1),X2,X3)
| ~ s_e(midpoint(X0,X1),X0,X2,X3) ),
inference(superposition,[status(thm)],[c_8796,c_63]) ).
tcf(c_16374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(midpoint(X1,X0),X1,X2,X3)
| ~ s_e(X0,midpoint(X1,X0),X2,X3) ),
inference(superposition,[status(thm)],[c_8796,c_50]) ).
tcf(c_16375,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X1,midpoint(X0,X1),midpoint(X0,X1),X2)
| ~ s_t(midpoint(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_8796,c_261]) ).
tcf(c_16376,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,midpoint(X2,X0),X2)
| ~ s_t(X0,X1,midpoint(X2,X0)) ),
inference(superposition,[status(thm)],[c_8796,c_113]) ).
tcf(c_16405,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_250]) ).
tcf(c_16406,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_250]) ).
tcf(c_16407,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| s_t(X1,foot(X0,X1,X2),X0)
| s_t(X0,X1,foot(X0,X1,X2))
| s_t(foot(X0,X1,X2),X0,X1) ),
inference(superposition,[status(thm)],[c_209,c_250]) ).
tcf(c_16408,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| s_t(X1,erectAux21a(X0,X1,X2),X0)
| s_t(X0,X1,erectAux21a(X0,X1,X2))
| s_t(erectAux21a(X0,X1,X2),X0,X1)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_216,c_250]) ).
tcf(c_16409,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,erectAux(X0,X1,X2),X0)
| s_t(X0,X1,erectAux(X0,X1,X2))
| s_t(erectAux(X0,X1,X2),X0,X1)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_219,c_250]) ).
tcf(c_16412,plain,
( s_t(sK4,sK1,sK2)
| s_t(sK2,sK4,sK1)
| s_t(sK1,sK2,sK4) ),
inference(superposition,[status(thm)],[c_8256,c_250]) ).
tcf(c_16414,plain,
( s_t(sK4,sK2,sK1)
| s_t(sK2,sK1,sK4)
| s_t(sK1,sK4,sK2) ),
inference(superposition,[status(thm)],[c_8270,c_250]) ).
tcf(c_16449,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_8634,c_250]) ).
tcf(c_16451,plain,
! [X0: $i,X1: $i] :
( s_t(X1,midpoint(X0,X1),X0)
| s_t(X0,X1,midpoint(X0,X1))
| s_t(midpoint(X0,X1),X0,X1) ),
inference(superposition,[status(thm)],[c_8638,c_250]) ).
tcf(c_16520,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_265]) ).
tcf(c_16521,plain,
! [X0: $i,X1: $i] :
( sameside(X1,X0,X1)
| ( X0 = xb )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_72,c_265]) ).
tcf(c_16523,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_265]) ).
tcf(c_16524,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_265]) ).
tcf(c_16525,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_265]) ).
tcf(c_16526,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_265]) ).
tcf(c_16527,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(erectAux(X0,X1,X2),X2,erect(X0,X1,X2))
| ( X2 = xb )
| ( X0 = X1 )
| ( erectAux(X0,X1,X2) = X2 ) ),
inference(superposition,[status(thm)],[c_220,c_265]) ).
tcf(c_16528,plain,
( sameside(sK4,sK0,sK3)
| ( sK0 = xb )
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_5723,c_265]) ).
tcf(c_16529,plain,
( sameside(sK5,sK2,sK3)
| ( sK2 = xb )
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_5722,c_265]) ).
tcf(c_16530,plain,
! [X0: $i,X1: $i] :
( sameside(midpoint(X0,X1),X0,X1)
| ( X0 = xb )
| ( midpoint(X0,X1) = X0 ) ),
inference(superposition,[status(thm)],[c_1750,c_265]) ).
tcf(c_16531,plain,
( sameside(iPr_def_10,sK0,sK5)
| ( sK0 = iPr_def_10 )
| ( sK0 = xb ) ),
inference(superposition,[status(thm)],[c_8163,c_265]) ).
tcf(c_16532,plain,
( sameside(iPr_def_11,sK2,sK1)
| ( sK2 = iPr_def_11 )
| ( sK2 = xb ) ),
inference(superposition,[status(thm)],[c_8165,c_265]) ).
tcf(c_16533,plain,
! [X0: $i,X1: $i] :
( sameside(X1,X0,s(X1,X0))
| ( X0 = xb )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_8175,c_265]) ).
tcf(c_16534,plain,
! [X0: $i,X1: $i] :
( sameside(X0,s(X0,X1),X1)
| ( s(X0,X1) = xb )
| ( s(X0,X1) = X0 ) ),
inference(superposition,[status(thm)],[c_8180,c_265]) ).
tcf(c_16535,plain,
( sameside(sK4,sK3,sK0)
| ( sK3 = xb )
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_8200,c_265]) ).
tcf(c_16536,plain,
( sameside(sK5,sK3,sK2)
| ( sK3 = xb )
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_8201,c_265]) ).
tcf(c_16537,plain,
! [X0: $i,X1: $i] :
( sameside(midpoint(X0,X1),X1,X0)
| ( X1 = xb )
| ( midpoint(X0,X1) = X1 ) ),
inference(superposition,[status(thm)],[c_8202,c_265]) ).
tcf(c_16538,plain,
( sameside(iPr_def_10,sK5,sK0)
| ( sK5 = iPr_def_10 )
| ( sK5 = xb ) ),
inference(superposition,[status(thm)],[c_8203,c_265]) ).
tcf(c_16539,plain,
( sameside(iPr_def_11,sK1,sK2)
| ( sK1 = iPr_def_11 )
| ( sK1 = xb ) ),
inference(superposition,[status(thm)],[c_8204,c_265]) ).
tcf(c_16540,plain,
( sameside(sK4,sK0,midpoint(sK3,sK4))
| ( sK0 = xb )
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_10794,c_265]) ).
tcf(c_16541,plain,
( sameside(sK5,sK2,midpoint(sK3,sK5))
| ( sK2 = xb )
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_10807,c_265]) ).
tcf(c_16542,plain,
! [X0: $i,X1: $i] :
( sameside(sK3,sK4,ext(sK0,sK3,X0,X1))
| ( sK4 = xb )
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_10812,c_265]) ).
tcf(c_16543,plain,
! [X0: $i] :
( sameside(sK3,sK4,c63(sK0,sK3,X0))
| ( sK4 = xb )
| ( sK3 = sK4 )
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_10814,c_265]) ).
tcf(c_16544,plain,
! [X0: $i] :
( sameside(sK3,sK4,c63(X0,sK3,sK0))
| ( sK4 = xb )
| ( sK3 = sK4 )
| ~ sameside(X0,sK3,sK0) ),
inference(superposition,[status(thm)],[c_10815,c_265]) ).
tcf(c_16545,plain,
( sameside(sK3,sK4,s(sK3,sK0))
| ( sK4 = xb )
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_10816,c_265]) ).
tcf(c_16546,plain,
! [X0: $i,X1: $i] :
( sameside(sK3,sK5,ext(sK2,sK3,X0,X1))
| ( sK5 = xb )
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_10836,c_265]) ).
tcf(c_16547,plain,
! [X0: $i] :
( sameside(sK3,sK5,c63(sK2,sK3,X0))
| ( sK5 = xb )
| ( sK3 = sK5 )
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_10838,c_265]) ).
tcf(c_16548,plain,
! [X0: $i] :
( sameside(sK3,sK5,c63(X0,sK3,sK2))
| ( sK5 = xb )
| ( sK3 = sK5 )
| ~ sameside(X0,sK3,sK2) ),
inference(superposition,[status(thm)],[c_10839,c_265]) ).
tcf(c_16549,plain,
( sameside(sK3,sK5,s(sK3,sK2))
| ( sK5 = xb )
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_10840,c_265]) ).
tcf(c_16550,plain,
( sameside(midpoint(sK3,sK4),sK0,sK3)
| ( sK0 = xb )
| ( midpoint(sK3,sK4) = sK0 ) ),
inference(superposition,[status(thm)],[c_10855,c_265]) ).
tcf(c_16551,plain,
( sameside(midpoint(sK3,sK5),sK2,sK3)
| ( sK2 = xb )
| ( midpoint(sK3,sK5) = sK2 ) ),
inference(superposition,[status(thm)],[c_10867,c_265]) ).
tcf(c_16552,plain,
! [X0: $i,X1: $i] :
( sameside(sK4,sK0,ext(sK0,sK3,X0,X1))
| ( sK0 = xb )
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_10872,c_265]) ).
tcf(c_16553,plain,
! [X0: $i] :
( sameside(sK4,sK0,c63(sK0,sK3,X0))
| ( sK0 = xb )
| ( sK0 = sK4 )
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_10874,c_265]) ).
tcf(c_16554,plain,
! [X0: $i] :
( sameside(sK4,sK0,c63(X0,sK3,sK0))
| ( sK0 = xb )
| ( sK0 = sK4 )
| ~ sameside(X0,sK3,sK0) ),
inference(superposition,[status(thm)],[c_10875,c_265]) ).
tcf(c_16555,plain,
( sameside(sK4,sK0,s(sK3,sK0))
| ( sK0 = xb )
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_10876,c_265]) ).
tcf(c_16556,plain,
! [X0: $i,X1: $i] :
( sameside(sK5,sK2,ext(sK2,sK3,X0,X1))
| ( sK2 = xb )
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_10893,c_265]) ).
tcf(c_16557,plain,
! [X0: $i] :
( sameside(sK5,sK2,c63(sK2,sK3,X0))
| ( sK2 = xb )
| ( sK2 = sK5 )
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_10895,c_265]) ).
tcf(c_16558,plain,
! [X0: $i] :
( sameside(sK5,sK2,c63(X0,sK3,sK2))
| ( sK2 = xb )
| ( sK2 = sK5 )
| ~ sameside(X0,sK3,sK2) ),
inference(superposition,[status(thm)],[c_10896,c_265]) ).
tcf(c_16559,plain,
( sameside(sK5,sK2,s(sK3,sK2))
| ( sK2 = xb )
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_10897,c_265]) ).
tcf(c_16560,plain,
! [X0: $i,X1: $i] :
( sameside(sK4,sK0,ins(X0,X1,sK0,sK3))
| ( sK0 = xb )
| ( sK0 = sK4 )
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_10944,c_265]) ).
tcf(c_16561,plain,
! [X0: $i,X1: $i] :
( sameside(sK3,sK4,ins(X0,X1,sK0,sK3))
| ( sK4 = xb )
| ( sK3 = sK4 )
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_10945,c_265]) ).
tcf(c_16562,plain,
( sameside(sK4,midpoint(sK3,sK4),sK0)
| ( midpoint(sK3,sK4) = xb )
| ( midpoint(sK3,sK4) = sK4 ) ),
inference(superposition,[status(thm)],[c_11193,c_265]) ).
tcf(c_16563,plain,
( sameside(sK5,midpoint(sK3,sK5),sK2)
| ( midpoint(sK3,sK5) = xb )
| ( midpoint(sK3,sK5) = sK5 ) ),
inference(superposition,[status(thm)],[c_11222,c_265]) ).
tcf(c_16564,plain,
( sameside(sK3,s(sK3,sK0),sK4)
| ( s(sK3,sK0) = xb )
| ( s(sK3,sK0) = sK3 ) ),
inference(superposition,[status(thm)],[c_11254,c_265]) ).
tcf(c_16565,plain,
( sameside(sK3,s(sK3,sK2),sK5)
| ( s(sK3,sK2) = xb )
| ( s(sK3,sK2) = sK3 ) ),
inference(superposition,[status(thm)],[c_11286,c_265]) ).
tcf(c_16846,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_266]) ).
tcf(c_16847,plain,
! [X0: $i,X1: $i] :
( sameside(X1,X0,X1)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_72,c_266]) ).
tcf(c_16849,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_266]) ).
tcf(c_16850,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_266]) ).
tcf(c_16851,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_266]) ).
tcf(c_16852,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_266]) ).
tcf(c_16853,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(erect(X0,X1,X2),X2,erectAux(X0,X1,X2))
| ( X0 = X1 )
| ( erectAux(X0,X1,X2) = X2 )
| ( erect(X0,X1,X2) = X2 ) ),
inference(superposition,[status(thm)],[c_220,c_266]) ).
tcf(c_16854,plain,
( sameside(sK3,sK0,sK4)
| ( sK0 = sK4 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_5723,c_266]) ).
tcf(c_16855,plain,
( sameside(sK3,sK2,sK5)
| ( sK2 = sK5 )
| ( sK2 = sK3 ) ),
inference(superposition,[status(thm)],[c_5722,c_266]) ).
tcf(c_16856,plain,
! [X0: $i,X1: $i] :
( sameside(X1,X0,midpoint(X0,X1))
| ( X0 = X1 )
| ( midpoint(X0,X1) = X0 ) ),
inference(superposition,[status(thm)],[c_1750,c_266]) ).
tcf(c_16857,plain,
( sameside(sK5,sK0,iPr_def_10)
| ( sK0 = iPr_def_10 )
| ( sK0 = sK5 ) ),
inference(superposition,[status(thm)],[c_8163,c_266]) ).
tcf(c_16858,plain,
( sameside(sK1,sK2,iPr_def_11)
| ( sK2 = iPr_def_11 )
| ( sK1 = sK2 ) ),
inference(superposition,[status(thm)],[c_8165,c_266]) ).
tcf(c_16859,plain,
! [X0: $i,X1: $i] :
( sameside(s(X0,X1),X1,X0)
| ( X0 = X1 )
| ( s(X0,X1) = X1 ) ),
inference(superposition,[status(thm)],[c_8175,c_266]) ).
tcf(c_16860,plain,
! [X0: $i,X1: $i] :
( sameside(X1,s(X0,X1),X0)
| ( s(X0,X1) = X1 )
| ( s(X0,X1) = X0 ) ),
inference(superposition,[status(thm)],[c_8180,c_266]) ).
tcf(c_16861,plain,
( sameside(sK0,sK3,sK4)
| ( sK3 = sK4 )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_8200,c_266]) ).
tcf(c_16862,plain,
( sameside(sK2,sK3,sK5)
| ( sK3 = sK5 )
| ( sK2 = sK3 ) ),
inference(superposition,[status(thm)],[c_8201,c_266]) ).
tcf(c_16863,plain,
! [X0: $i,X1: $i] :
( sameside(X0,X1,midpoint(X0,X1))
| ( X0 = X1 )
| ( midpoint(X0,X1) = X1 ) ),
inference(superposition,[status(thm)],[c_8202,c_266]) ).
tcf(c_16864,plain,
( sameside(sK0,sK5,iPr_def_10)
| ( sK5 = iPr_def_10 )
| ( sK0 = sK5 ) ),
inference(superposition,[status(thm)],[c_8203,c_266]) ).
tcf(c_16865,plain,
( sameside(sK2,sK1,iPr_def_11)
| ( sK1 = iPr_def_11 )
| ( sK1 = sK2 ) ),
inference(superposition,[status(thm)],[c_8204,c_266]) ).
tcf(c_16866,plain,
( sameside(midpoint(sK3,sK4),sK0,sK4)
| ( sK0 = sK4 )
| ( midpoint(sK3,sK4) = sK0 ) ),
inference(superposition,[status(thm)],[c_10794,c_266]) ).
tcf(c_16867,plain,
( sameside(midpoint(sK3,sK5),sK2,sK5)
| ( sK2 = sK5 )
| ( midpoint(sK3,sK5) = sK2 ) ),
inference(superposition,[status(thm)],[c_10807,c_266]) ).
tcf(c_16868,plain,
! [X0: $i,X1: $i] :
( sameside(ext(sK0,sK3,X0,X1),sK4,sK3)
| ( sK3 = sK4 )
| ( ext(sK0,sK3,X0,X1) = sK4 ) ),
inference(superposition,[status(thm)],[c_10812,c_266]) ).
tcf(c_16869,plain,
! [X0: $i] :
( sameside(c63(sK0,sK3,X0),sK4,sK3)
| ( sK3 = sK4 )
| ( c63(sK0,sK3,X0) = sK4 )
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_10814,c_266]) ).
tcf(c_16870,plain,
! [X0: $i] :
( sameside(c63(X0,sK3,sK0),sK4,sK3)
| ( sK3 = sK4 )
| ( c63(X0,sK3,sK0) = sK4 )
| ~ sameside(X0,sK3,sK0) ),
inference(superposition,[status(thm)],[c_10815,c_266]) ).
tcf(c_16871,plain,
( sameside(s(sK3,sK0),sK4,sK3)
| ( sK3 = sK4 )
| ( s(sK3,sK0) = sK4 ) ),
inference(superposition,[status(thm)],[c_10816,c_266]) ).
tcf(c_16872,plain,
! [X0: $i,X1: $i] :
( sameside(ext(sK2,sK3,X0,X1),sK5,sK3)
| ( sK3 = sK5 )
| ( ext(sK2,sK3,X0,X1) = sK5 ) ),
inference(superposition,[status(thm)],[c_10836,c_266]) ).
tcf(c_16873,plain,
! [X0: $i] :
( sameside(c63(sK2,sK3,X0),sK5,sK3)
| ( sK3 = sK5 )
| ( c63(sK2,sK3,X0) = sK5 )
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_10838,c_266]) ).
tcf(c_16874,plain,
! [X0: $i] :
( sameside(c63(X0,sK3,sK2),sK5,sK3)
| ( sK3 = sK5 )
| ( c63(X0,sK3,sK2) = sK5 )
| ~ sameside(X0,sK3,sK2) ),
inference(superposition,[status(thm)],[c_10839,c_266]) ).
tcf(c_16875,plain,
( sameside(s(sK3,sK2),sK5,sK3)
| ( sK3 = sK5 )
| ( s(sK3,sK2) = sK5 ) ),
inference(superposition,[status(thm)],[c_10840,c_266]) ).
tcf(c_16876,plain,
( sameside(sK3,sK0,midpoint(sK3,sK4))
| ( sK0 = sK3 )
| ( midpoint(sK3,sK4) = sK0 ) ),
inference(superposition,[status(thm)],[c_10855,c_266]) ).
tcf(c_16877,plain,
( sameside(sK3,sK2,midpoint(sK3,sK5))
| ( sK2 = sK3 )
| ( midpoint(sK3,sK5) = sK2 ) ),
inference(superposition,[status(thm)],[c_10867,c_266]) ).
tcf(c_16878,plain,
! [X0: $i,X1: $i] :
( sameside(ext(sK0,sK3,X0,X1),sK0,sK4)
| ( sK0 = sK4 )
| ( ext(sK0,sK3,X0,X1) = sK0 ) ),
inference(superposition,[status(thm)],[c_10872,c_266]) ).
tcf(c_16879,plain,
! [X0: $i] :
( sameside(c63(sK0,sK3,X0),sK0,sK4)
| ( sK0 = sK4 )
| ( c63(sK0,sK3,X0) = sK0 )
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_10874,c_266]) ).
tcf(c_16880,plain,
! [X0: $i] :
( sameside(c63(X0,sK3,sK0),sK0,sK4)
| ( sK0 = sK4 )
| ( c63(X0,sK3,sK0) = sK0 )
| ~ sameside(X0,sK3,sK0) ),
inference(superposition,[status(thm)],[c_10875,c_266]) ).
tcf(c_16881,plain,
( sameside(s(sK3,sK0),sK0,sK4)
| ( sK0 = sK4 )
| ( s(sK3,sK0) = sK0 ) ),
inference(superposition,[status(thm)],[c_10876,c_266]) ).
tcf(c_16882,plain,
! [X0: $i,X1: $i] :
( sameside(ext(sK2,sK3,X0,X1),sK2,sK5)
| ( sK2 = sK5 )
| ( ext(sK2,sK3,X0,X1) = sK2 ) ),
inference(superposition,[status(thm)],[c_10893,c_266]) ).
tcf(c_16883,plain,
! [X0: $i] :
( sameside(c63(sK2,sK3,X0),sK2,sK5)
| ( sK2 = sK5 )
| ( c63(sK2,sK3,X0) = sK2 )
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_10895,c_266]) ).
tcf(c_16884,plain,
! [X0: $i] :
( sameside(c63(X0,sK3,sK2),sK2,sK5)
| ( sK2 = sK5 )
| ( c63(X0,sK3,sK2) = sK2 )
| ~ sameside(X0,sK3,sK2) ),
inference(superposition,[status(thm)],[c_10896,c_266]) ).
tcf(c_16885,plain,
( sameside(s(sK3,sK2),sK2,sK5)
| ( sK2 = sK5 )
| ( s(sK3,sK2) = sK2 ) ),
inference(superposition,[status(thm)],[c_10897,c_266]) ).
tcf(c_16886,plain,
! [X0: $i,X1: $i] :
( sameside(ins(X0,X1,sK0,sK3),sK0,sK4)
| ( sK0 = sK4 )
| ( ins(X0,X1,sK0,sK3) = sK0 )
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_10944,c_266]) ).
tcf(c_16887,plain,
! [X0: $i,X1: $i] :
( sameside(ins(X0,X1,sK0,sK3),sK4,sK3)
| ( sK3 = sK4 )
| ( ins(X0,X1,sK0,sK3) = sK4 )
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_10945,c_266]) ).
tcf(c_16888,plain,
( sameside(sK0,midpoint(sK3,sK4),sK4)
| ( midpoint(sK3,sK4) = sK4 )
| ( midpoint(sK3,sK4) = sK0 ) ),
inference(superposition,[status(thm)],[c_11193,c_266]) ).
tcf(c_16889,plain,
( sameside(sK2,midpoint(sK3,sK5),sK5)
| ( midpoint(sK3,sK5) = sK5 )
| ( midpoint(sK3,sK5) = sK2 ) ),
inference(superposition,[status(thm)],[c_11222,c_266]) ).
tcf(c_16890,plain,
( sameside(sK4,s(sK3,sK0),sK3)
| ( s(sK3,sK0) = sK4 )
| ( s(sK3,sK0) = sK3 ) ),
inference(superposition,[status(thm)],[c_11254,c_266]) ).
tcf(c_16891,plain,
( sameside(sK5,s(sK3,sK2),sK3)
| ( s(sK3,sK2) = sK5 )
| ( s(sK3,sK2) = sK3 ) ),
inference(superposition,[status(thm)],[c_11286,c_266]) ).
tcf(c_17106,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_17109,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_17110,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_17111,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_17112,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_17113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,erect(X0,X1,X2),X3)
| ( X0 = X1 )
| ( erect(X0,X1,X2) = erectAux(X0,X1,X2) )
| ~ s_t(erectAux(X0,X1,X2),erect(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_220,c_78]) ).
tcf(c_17114,plain,
! [X0: $i] :
( s_t(sK0,sK3,X0)
| ( sK3 = sK4 )
| ~ s_t(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_5723,c_78]) ).
tcf(c_17115,plain,
! [X0: $i] :
( s_t(sK2,sK3,X0)
| ( sK3 = sK5 )
| ~ s_t(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_5722,c_78]) ).
tcf(c_17116,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,X2)
| ( midpoint(X0,X1) = X1 )
| ~ s_t(midpoint(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_1750,c_78]) ).
tcf(c_17117,plain,
! [X0: $i] :
( s_t(sK0,sK5,X0)
| ( sK5 = iPr_def_10 )
| ~ s_t(iPr_def_10,sK5,X0) ),
inference(superposition,[status(thm)],[c_8163,c_78]) ).
tcf(c_17118,plain,
! [X0: $i] :
( s_t(sK2,sK1,X0)
| ( sK1 = iPr_def_11 )
| ~ s_t(iPr_def_11,sK1,X0) ),
inference(superposition,[status(thm)],[c_8165,c_78]) ).
tcf(c_17119,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_8175,c_78]) ).
tcf(c_17120,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_8180,c_78]) ).
tcf(c_17121,plain,
! [X0: $i] :
( s_t(sK3,sK0,X0)
| ( sK0 = sK4 )
| ~ s_t(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_8200,c_78]) ).
tcf(c_17122,plain,
! [X0: $i] :
( s_t(sK3,sK2,X0)
| ( sK2 = sK5 )
| ~ s_t(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_8201,c_78]) ).
tcf(c_17123,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X0,X2)
| ( midpoint(X0,X1) = X0 )
| ~ s_t(midpoint(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_8202,c_78]) ).
tcf(c_17124,plain,
! [X0: $i] :
( s_t(sK5,sK0,X0)
| ( sK0 = iPr_def_10 )
| ~ s_t(iPr_def_10,sK0,X0) ),
inference(superposition,[status(thm)],[c_8203,c_78]) ).
tcf(c_17125,plain,
! [X0: $i] :
( s_t(sK1,sK2,X0)
| ( sK2 = iPr_def_11 )
| ~ s_t(iPr_def_11,sK2,X0) ),
inference(superposition,[status(thm)],[c_8204,c_78]) ).
tcf(c_17126,plain,
! [X0: $i] :
( s_t(sK0,midpoint(sK3,sK4),X0)
| ( midpoint(sK3,sK4) = sK4 )
| ~ s_t(sK4,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_10794,c_78]) ).
tcf(c_17127,plain,
! [X0: $i] :
( s_t(sK2,midpoint(sK3,sK5),X0)
| ( midpoint(sK3,sK5) = sK5 )
| ~ s_t(sK5,midpoint(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_10807,c_78]) ).
tcf(c_17128,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK4,ext(sK0,sK3,X0,X1),X2)
| ( ext(sK0,sK3,X0,X1) = sK3 )
| ~ s_t(sK3,ext(sK0,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10812,c_78]) ).
tcf(c_17129,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,c63(sK0,sK3,X0),X1)
| ( c63(sK0,sK3,X0) = sK3 )
| ~ sameside(sK0,sK3,X0)
| ~ s_t(sK3,c63(sK0,sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_10814,c_78]) ).
tcf(c_17130,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,c63(X0,sK3,sK0),X1)
| ( c63(X0,sK3,sK0) = sK3 )
| ~ sameside(X0,sK3,sK0)
| ~ s_t(sK3,c63(X0,sK3,sK0),X1) ),
inference(superposition,[status(thm)],[c_10815,c_78]) ).
tcf(c_17131,plain,
! [X0: $i] :
( s_t(sK4,s(sK3,sK0),X0)
| ( s(sK3,sK0) = sK3 )
| ~ s_t(sK3,s(sK3,sK0),X0) ),
inference(superposition,[status(thm)],[c_10816,c_78]) ).
tcf(c_17132,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK5,ext(sK2,sK3,X0,X1),X2)
| ( ext(sK2,sK3,X0,X1) = sK3 )
| ~ s_t(sK3,ext(sK2,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10836,c_78]) ).
tcf(c_17133,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,c63(sK2,sK3,X0),X1)
| ( c63(sK2,sK3,X0) = sK3 )
| ~ sameside(sK2,sK3,X0)
| ~ s_t(sK3,c63(sK2,sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_10838,c_78]) ).
tcf(c_17134,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,c63(X0,sK3,sK2),X1)
| ( c63(X0,sK3,sK2) = sK3 )
| ~ sameside(X0,sK3,sK2)
| ~ s_t(sK3,c63(X0,sK3,sK2),X1) ),
inference(superposition,[status(thm)],[c_10839,c_78]) ).
tcf(c_17135,plain,
! [X0: $i] :
( s_t(sK5,s(sK3,sK2),X0)
| ( s(sK3,sK2) = sK3 )
| ~ s_t(sK3,s(sK3,sK2),X0) ),
inference(superposition,[status(thm)],[c_10840,c_78]) ).
tcf(c_17136,plain,
! [X0: $i] :
( s_t(sK0,sK3,X0)
| ( midpoint(sK3,sK4) = sK3 )
| ~ s_t(midpoint(sK3,sK4),sK3,X0) ),
inference(superposition,[status(thm)],[c_10855,c_78]) ).
tcf(c_17137,plain,
! [X0: $i] :
( s_t(sK2,sK3,X0)
| ( midpoint(sK3,sK5) = sK3 )
| ~ s_t(midpoint(sK3,sK5),sK3,X0) ),
inference(superposition,[status(thm)],[c_10867,c_78]) ).
tcf(c_17138,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,ext(sK0,sK3,X0,X1),X2)
| ( ext(sK0,sK3,X0,X1) = sK4 )
| ~ s_t(sK4,ext(sK0,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10872,c_78]) ).
tcf(c_17139,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,c63(sK0,sK3,X0),X1)
| ( c63(sK0,sK3,X0) = sK4 )
| ~ sameside(sK0,sK3,X0)
| ~ s_t(sK4,c63(sK0,sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_10874,c_78]) ).
tcf(c_17140,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,c63(X0,sK3,sK0),X1)
| ( c63(X0,sK3,sK0) = sK4 )
| ~ sameside(X0,sK3,sK0)
| ~ s_t(sK4,c63(X0,sK3,sK0),X1) ),
inference(superposition,[status(thm)],[c_10875,c_78]) ).
tcf(c_17141,plain,
! [X0: $i] :
( s_t(sK0,s(sK3,sK0),X0)
| ( s(sK3,sK0) = sK4 )
| ~ s_t(sK4,s(sK3,sK0),X0) ),
inference(superposition,[status(thm)],[c_10876,c_78]) ).
tcf(c_17142,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,ext(sK2,sK3,X0,X1),X2)
| ( ext(sK2,sK3,X0,X1) = sK5 )
| ~ s_t(sK5,ext(sK2,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10893,c_78]) ).
tcf(c_17143,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,c63(sK2,sK3,X0),X1)
| ( c63(sK2,sK3,X0) = sK5 )
| ~ sameside(sK2,sK3,X0)
| ~ s_t(sK5,c63(sK2,sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_10895,c_78]) ).
tcf(c_17144,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,c63(X0,sK3,sK2),X1)
| ( c63(X0,sK3,sK2) = sK5 )
| ~ sameside(X0,sK3,sK2)
| ~ s_t(sK5,c63(X0,sK3,sK2),X1) ),
inference(superposition,[status(thm)],[c_10896,c_78]) ).
tcf(c_17145,plain,
! [X0: $i] :
( s_t(sK2,s(sK3,sK2),X0)
| ( s(sK3,sK2) = sK5 )
| ~ s_t(sK5,s(sK3,sK2),X0) ),
inference(superposition,[status(thm)],[c_10897,c_78]) ).
tcf(c_17146,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,ins(X0,X1,sK0,sK3),X2)
| ( ins(X0,X1,sK0,sK3) = sK4 )
| ~ le(sK0,sK3,X0,X1)
| ~ s_t(sK4,ins(X0,X1,sK0,sK3),X2) ),
inference(superposition,[status(thm)],[c_10944,c_78]) ).
tcf(c_17147,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK4,ins(X0,X1,sK0,sK3),X2)
| ( ins(X0,X1,sK0,sK3) = sK3 )
| ~ le(sK0,sK3,X0,X1)
| ~ s_t(sK3,ins(X0,X1,sK0,sK3),X2) ),
inference(superposition,[status(thm)],[c_10945,c_78]) ).
tcf(c_17148,plain,
! [X0: $i] :
( s_t(midpoint(sK3,sK4),sK0,X0)
| ( sK0 = sK4 )
| ~ s_t(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_11193,c_78]) ).
tcf(c_17149,plain,
! [X0: $i] :
( s_t(midpoint(sK3,sK5),sK2,X0)
| ( sK2 = sK5 )
| ~ s_t(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_11222,c_78]) ).
tcf(c_17150,plain,
! [X0: $i] :
( s_t(s(sK3,sK0),sK4,X0)
| ( sK3 = sK4 )
| ~ s_t(sK3,sK4,X0) ),
inference(superposition,[status(thm)],[c_11254,c_78]) ).
tcf(c_17151,plain,
! [X0: $i] :
( s_t(s(sK3,sK2),sK5,X0)
| ( sK3 = sK5 )
| ~ s_t(sK3,sK5,X0) ),
inference(superposition,[status(thm)],[c_11286,c_78]) ).
tcf(c_17651,plain,
( sameside(midpoint(sK3,sK4),sK3,sK0)
| s_t(midpoint(sK3,sK4),sK3,sK0) ),
inference(superposition,[status(thm)],[c_11312,c_134]) ).
tcf(c_17652,plain,
s_col(midpoint(sK3,sK4),sK0,sK3),
inference(superposition,[status(thm)],[c_11312,c_98]) ).
tcf(c_17653,plain,
s_col(sK3,midpoint(sK3,sK4),sK0),
inference(superposition,[status(thm)],[c_11312,c_97]) ).
tcf(c_17654,plain,
s_col(sK0,sK3,midpoint(sK3,sK4)),
inference(superposition,[status(thm)],[c_11312,c_96]) ).
tcf(c_17660,plain,
( sameside(sK3,sK0,midpoint(sK3,sK4))
| s_t(sK3,sK0,midpoint(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_11313,c_134]) ).
tcf(c_17675,plain,
! [X0: $i] :
( s_t(sK3,sK0,X0)
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_t(midpoint(sK3,sK4),sK0,X0) ),
inference(superposition,[status(thm)],[c_11315,c_78]) ).
tcf(c_17676,plain,
( sameside(sK0,sK3,midpoint(sK3,sK4))
| ( sK0 = sK3 )
| ( midpoint(sK3,sK4) = sK3 ) ),
inference(superposition,[status(thm)],[c_11315,c_266]) ).
tcf(c_17677,plain,
( sameside(midpoint(sK3,sK4),sK3,sK0)
| ( sK3 = xb )
| ( midpoint(sK3,sK4) = sK3 ) ),
inference(superposition,[status(thm)],[c_11315,c_265]) ).
tcf(c_17678,plain,
! [X0: $i] :
( s_t(sK3,midpoint(sK3,sK4),X0)
| ~ s_t(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_11315,c_80]) ).
tcf(c_17679,plain,
! [X0: $i] :
( s_t(sK3,X0,sK0)
| ~ s_t(midpoint(sK3,sK4),X0,sK0) ),
inference(superposition,[status(thm)],[c_11315,c_79]) ).
tcf(c_17680,plain,
! [X0: $i] :
( s_t(midpoint(sK3,sK4),sK0,X0)
| ~ s_t(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_11315,c_77]) ).
tcf(c_17681,plain,
! [X0: $i] :
( s_t(sK3,midpoint(sK3,sK4),X0)
| ~ s_t(midpoint(sK3,sK4),X0,sK0) ),
inference(superposition,[status(thm)],[c_11315,c_76]) ).
tcf(c_17682,plain,
( ( midpoint(sK3,sK4) = sK3 )
| ~ s_t(midpoint(sK3,sK4),sK3,sK0) ),
inference(superposition,[status(thm)],[c_11315,c_75]) ).
tcf(c_17683,plain,
~ sameside(sK3,midpoint(sK3,sK4),sK0),
inference(superposition,[status(thm)],[c_11315,c_133]) ).
tcf(c_17712,plain,
( sameside(sK4,sK0,sK3)
| ( sK0 = sK4 ) ),
inference(global_subsumption_just,[status(thm)],[c_16528,c_9697,c_10261]) ).
tcf(c_17718,plain,
! [X0: $i] :
( sameside(sK4,sK0,X0)
| ( sK0 = sK4 )
| ~ sameside(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_17712,c_137]) ).
tcf(c_17720,plain,
( sameside(sK3,sK0,sK4)
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_17712,c_136]) ).
tcf(c_17728,plain,
( sameside(sK5,sK2,sK3)
| ( sK2 = sK5 ) ),
inference(global_subsumption_just,[status(thm)],[c_16529,c_9699,c_10262]) ).
tcf(c_17734,plain,
! [X0: $i] :
( sameside(sK5,sK2,X0)
| ( sK2 = sK5 )
| ~ sameside(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_17728,c_137]) ).
tcf(c_17736,plain,
( sameside(sK3,sK2,sK5)
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_17728,c_136]) ).
tcf(c_17754,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK3,ext(sK4,sK3,X0,X1))
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_52,c_17114]) ).
tcf(c_17755,plain,
( s_t(sK0,sK3,sK3)
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_72,c_17114]) ).
tcf(c_17756,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK3,ins(X0,X1,sK4,sK3))
| ( sK3 = sK4 )
| ~ le(sK4,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_17114]) ).
tcf(c_17757,plain,
! [X0: $i] :
( s_t(sK0,sK3,c63(sK4,sK3,X0))
| ( sK3 = sK4 )
| ~ sameside(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_129,c_17114]) ).
tcf(c_17758,plain,
! [X0: $i] :
( s_t(sK0,sK3,c63(X0,sK3,sK4))
| ( sK3 = sK4 )
| ~ sameside(X0,sK3,sK4) ),
inference(superposition,[status(thm)],[c_130,c_17114]) ).
tcf(c_17759,plain,
( s_t(sK0,sK3,s(sK3,sK4))
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_8175,c_17114]) ).
tcf(c_17760,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK3,ext(sK0,sK3,X0,X1))
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_10812,c_17114]) ).
tcf(c_17761,plain,
! [X0: $i] :
( s_t(sK0,sK3,c63(sK0,sK3,X0))
| ( sK3 = sK4 )
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_10814,c_17114]) ).
tcf(c_17762,plain,
! [X0: $i] :
( s_t(sK0,sK3,c63(X0,sK3,sK0))
| ( sK3 = sK4 )
| ~ sameside(X0,sK3,sK0) ),
inference(superposition,[status(thm)],[c_10815,c_17114]) ).
tcf(c_17763,plain,
( s_t(sK0,sK3,s(sK3,sK0))
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_10816,c_17114]) ).
tcf(c_17764,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK3,ins(X0,X1,sK0,sK3))
| ( sK3 = sK4 )
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_10945,c_17114]) ).
tcf(c_17800,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK3,ext(sK5,sK3,X0,X1))
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_52,c_17115]) ).
tcf(c_17801,plain,
( s_t(sK2,sK3,sK3)
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_72,c_17115]) ).
tcf(c_17802,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK3,ins(X0,X1,sK5,sK3))
| ( sK3 = sK5 )
| ~ le(sK5,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_17115]) ).
tcf(c_17803,plain,
! [X0: $i] :
( s_t(sK2,sK3,c63(sK5,sK3,X0))
| ( sK3 = sK5 )
| ~ sameside(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_129,c_17115]) ).
tcf(c_17804,plain,
! [X0: $i] :
( s_t(sK2,sK3,c63(X0,sK3,sK5))
| ( sK3 = sK5 )
| ~ sameside(X0,sK3,sK5) ),
inference(superposition,[status(thm)],[c_130,c_17115]) ).
tcf(c_17805,plain,
( s_t(sK2,sK3,s(sK3,sK5))
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_8175,c_17115]) ).
tcf(c_17806,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK3,ext(sK2,sK3,X0,X1))
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_10836,c_17115]) ).
tcf(c_17807,plain,
! [X0: $i] :
( s_t(sK2,sK3,c63(sK2,sK3,X0))
| ( sK3 = sK5 )
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_10838,c_17115]) ).
tcf(c_17808,plain,
! [X0: $i] :
( s_t(sK2,sK3,c63(X0,sK3,sK2))
| ( sK3 = sK5 )
| ~ sameside(X0,sK3,sK2) ),
inference(superposition,[status(thm)],[c_10839,c_17115]) ).
tcf(c_17809,plain,
( s_t(sK2,sK3,s(sK3,sK2))
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_10840,c_17115]) ).
tcf(c_17839,plain,
! [X0: $i] :
( sameside(sK3,sK0,X0)
| ( sK0 = sK4 )
| ~ sameside(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_17720,c_137]) ).
tcf(c_17851,plain,
! [X0: $i] :
( sameside(sK3,sK2,X0)
| ( sK2 = sK5 )
| ~ sameside(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_17736,c_137]) ).
tcf(c_17873,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_8799,c_63]) ).
tcf(c_17875,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_8799,c_261]) ).
tcf(c_17876,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_8799,c_113]) ).
tcf(c_17882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(midpoint(X0,X3),X1,midpoint(s(X2,X1),s(X2,X1)))
| ~ s_e(X1,X0,X1,X3)
| ~ s_t(X3,X1,s(X2,X1))
| ~ s_t(X0,X1,s(X2,X1)) ),
inference(superposition,[status(thm)],[c_8799,c_2699]) ).
tcf(c_17905,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_17907,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_17908,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_17909,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_17910,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_17911,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_17912,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,erectAux(X0,X1,X2),X3)
| ( X0 = X1 )
| ( erect(X0,X1,X2) = erectAux(X0,X1,X2) )
| ~ s_t(erectAux(X0,X1,X2),erect(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_220,c_81]) ).
tcf(c_17913,plain,
! [X0: $i] :
( s_t(sK0,sK4,X0)
| ( sK3 = sK4 )
| ~ s_t(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_5723,c_81]) ).
tcf(c_17914,plain,
! [X0: $i] :
( s_t(sK2,sK5,X0)
| ( sK3 = sK5 )
| ~ s_t(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_5722,c_81]) ).
tcf(c_17915,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,midpoint(X0,X1),X2)
| ( midpoint(X0,X1) = X1 )
| ~ s_t(midpoint(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_1750,c_81]) ).
tcf(c_17916,plain,
! [X0: $i] :
( s_t(sK0,iPr_def_10,X0)
| ( sK5 = iPr_def_10 )
| ~ s_t(iPr_def_10,sK5,X0) ),
inference(superposition,[status(thm)],[c_8163,c_81]) ).
tcf(c_17917,plain,
! [X0: $i] :
( s_t(sK2,iPr_def_11,X0)
| ( sK1 = iPr_def_11 )
| ~ s_t(iPr_def_11,sK1,X0) ),
inference(superposition,[status(thm)],[c_8165,c_81]) ).
tcf(c_17918,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_8175,c_81]) ).
tcf(c_17919,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_8180,c_81]) ).
tcf(c_17920,plain,
! [X0: $i] :
( s_t(sK3,sK4,X0)
| ( sK0 = sK4 )
| ~ s_t(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_8200,c_81]) ).
tcf(c_17921,plain,
! [X0: $i] :
( s_t(sK3,sK5,X0)
| ( sK2 = sK5 )
| ~ s_t(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_8201,c_81]) ).
tcf(c_17922,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,midpoint(X0,X1),X2)
| ( midpoint(X0,X1) = X0 )
| ~ s_t(midpoint(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_8202,c_81]) ).
tcf(c_17923,plain,
! [X0: $i] :
( s_t(sK5,iPr_def_10,X0)
| ( sK0 = iPr_def_10 )
| ~ s_t(iPr_def_10,sK0,X0) ),
inference(superposition,[status(thm)],[c_8203,c_81]) ).
tcf(c_17924,plain,
! [X0: $i] :
( s_t(sK1,iPr_def_11,X0)
| ( sK2 = iPr_def_11 )
| ~ s_t(iPr_def_11,sK2,X0) ),
inference(superposition,[status(thm)],[c_8204,c_81]) ).
tcf(c_17925,plain,
! [X0: $i] :
( s_t(sK0,sK4,X0)
| ( midpoint(sK3,sK4) = sK4 )
| ~ s_t(sK4,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_10794,c_81]) ).
tcf(c_17926,plain,
! [X0: $i] :
( s_t(sK2,sK5,X0)
| ( midpoint(sK3,sK5) = sK5 )
| ~ s_t(sK5,midpoint(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_10807,c_81]) ).
tcf(c_17927,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK4,sK3,X2)
| ( ext(sK0,sK3,X0,X1) = sK3 )
| ~ s_t(sK3,ext(sK0,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10812,c_81]) ).
tcf(c_17928,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,sK3,X1)
| ( c63(sK0,sK3,X0) = sK3 )
| ~ sameside(sK0,sK3,X0)
| ~ s_t(sK3,c63(sK0,sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_10814,c_81]) ).
tcf(c_17929,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,sK3,X1)
| ( c63(X0,sK3,sK0) = sK3 )
| ~ sameside(X0,sK3,sK0)
| ~ s_t(sK3,c63(X0,sK3,sK0),X1) ),
inference(superposition,[status(thm)],[c_10815,c_81]) ).
tcf(c_17930,plain,
! [X0: $i] :
( s_t(sK4,sK3,X0)
| ( s(sK3,sK0) = sK3 )
| ~ s_t(sK3,s(sK3,sK0),X0) ),
inference(superposition,[status(thm)],[c_10816,c_81]) ).
tcf(c_17931,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK5,sK3,X2)
| ( ext(sK2,sK3,X0,X1) = sK3 )
| ~ s_t(sK3,ext(sK2,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10836,c_81]) ).
tcf(c_17932,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,sK3,X1)
| ( c63(sK2,sK3,X0) = sK3 )
| ~ sameside(sK2,sK3,X0)
| ~ s_t(sK3,c63(sK2,sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_10838,c_81]) ).
tcf(c_17933,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,sK3,X1)
| ( c63(X0,sK3,sK2) = sK3 )
| ~ sameside(X0,sK3,sK2)
| ~ s_t(sK3,c63(X0,sK3,sK2),X1) ),
inference(superposition,[status(thm)],[c_10839,c_81]) ).
tcf(c_17934,plain,
! [X0: $i] :
( s_t(sK5,sK3,X0)
| ( s(sK3,sK2) = sK3 )
| ~ s_t(sK3,s(sK3,sK2),X0) ),
inference(superposition,[status(thm)],[c_10840,c_81]) ).
tcf(c_17935,plain,
! [X0: $i] :
( s_t(sK0,midpoint(sK3,sK4),X0)
| ( midpoint(sK3,sK4) = sK3 )
| ~ s_t(midpoint(sK3,sK4),sK3,X0) ),
inference(superposition,[status(thm)],[c_10855,c_81]) ).
tcf(c_17936,plain,
! [X0: $i] :
( s_t(sK2,midpoint(sK3,sK5),X0)
| ( midpoint(sK3,sK5) = sK3 )
| ~ s_t(midpoint(sK3,sK5),sK3,X0) ),
inference(superposition,[status(thm)],[c_10867,c_81]) ).
tcf(c_17937,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK4,X2)
| ( ext(sK0,sK3,X0,X1) = sK4 )
| ~ s_t(sK4,ext(sK0,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10872,c_81]) ).
tcf(c_17938,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK4,X1)
| ( c63(sK0,sK3,X0) = sK4 )
| ~ sameside(sK0,sK3,X0)
| ~ s_t(sK4,c63(sK0,sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_10874,c_81]) ).
tcf(c_17939,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK4,X1)
| ( c63(X0,sK3,sK0) = sK4 )
| ~ sameside(X0,sK3,sK0)
| ~ s_t(sK4,c63(X0,sK3,sK0),X1) ),
inference(superposition,[status(thm)],[c_10875,c_81]) ).
tcf(c_17940,plain,
! [X0: $i] :
( s_t(sK0,sK4,X0)
| ( s(sK3,sK0) = sK4 )
| ~ s_t(sK4,s(sK3,sK0),X0) ),
inference(superposition,[status(thm)],[c_10876,c_81]) ).
tcf(c_17941,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,sK5,X2)
| ( ext(sK2,sK3,X0,X1) = sK5 )
| ~ s_t(sK5,ext(sK2,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_10893,c_81]) ).
tcf(c_17942,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK5,X1)
| ( c63(sK2,sK3,X0) = sK5 )
| ~ sameside(sK2,sK3,X0)
| ~ s_t(sK5,c63(sK2,sK3,X0),X1) ),
inference(superposition,[status(thm)],[c_10895,c_81]) ).
tcf(c_17943,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK5,X1)
| ( c63(X0,sK3,sK2) = sK5 )
| ~ sameside(X0,sK3,sK2)
| ~ s_t(sK5,c63(X0,sK3,sK2),X1) ),
inference(superposition,[status(thm)],[c_10896,c_81]) ).
tcf(c_17944,plain,
! [X0: $i] :
( s_t(sK2,sK5,X0)
| ( s(sK3,sK2) = sK5 )
| ~ s_t(sK5,s(sK3,sK2),X0) ),
inference(superposition,[status(thm)],[c_10897,c_81]) ).
tcf(c_17945,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK4,X2)
| ( ins(X0,X1,sK0,sK3) = sK4 )
| ~ le(sK0,sK3,X0,X1)
| ~ s_t(sK4,ins(X0,X1,sK0,sK3),X2) ),
inference(superposition,[status(thm)],[c_10944,c_81]) ).
tcf(c_17946,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK4,sK3,X2)
| ( ins(X0,X1,sK0,sK3) = sK3 )
| ~ le(sK0,sK3,X0,X1)
| ~ s_t(sK3,ins(X0,X1,sK0,sK3),X2) ),
inference(superposition,[status(thm)],[c_10945,c_81]) ).
tcf(c_17947,plain,
! [X0: $i] :
( s_t(midpoint(sK3,sK4),sK4,X0)
| ( sK0 = sK4 )
| ~ s_t(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_11193,c_81]) ).
tcf(c_17948,plain,
! [X0: $i] :
( s_t(midpoint(sK3,sK5),sK5,X0)
| ( sK2 = sK5 )
| ~ s_t(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_11222,c_81]) ).
tcf(c_17949,plain,
! [X0: $i] :
( s_t(s(sK3,sK0),sK3,X0)
| ( sK3 = sK4 )
| ~ s_t(sK3,sK4,X0) ),
inference(superposition,[status(thm)],[c_11254,c_81]) ).
tcf(c_17950,plain,
! [X0: $i] :
( s_t(s(sK3,sK2),sK3,X0)
| ( sK3 = sK5 )
| ~ s_t(sK3,sK5,X0) ),
inference(superposition,[status(thm)],[c_11286,c_81]) ).
tcf(c_17951,plain,
! [X0: $i] :
( s_t(sK3,midpoint(sK3,sK4),X0)
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_t(midpoint(sK3,sK4),sK0,X0) ),
inference(superposition,[status(thm)],[c_11315,c_81]) ).
tcf(c_18209,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_18212,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_18213,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_18214,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_18215,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_18216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X1,erectAux(X2,X3,X0))
| s_t(X0,erectAux(X2,X3,X0),X1)
| ( X2 = X3 )
| ~ s_t(X0,X1,erect(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_220,c_109]) ).
tcf(c_18217,plain,
! [X0: $i] :
( s_t(sK0,sK4,X0)
| s_t(sK0,X0,sK4)
| ~ s_t(sK0,X0,sK3) ),
inference(superposition,[status(thm)],[c_5723,c_109]) ).
tcf(c_18218,plain,
! [X0: $i] :
( s_t(sK2,sK5,X0)
| s_t(sK2,X0,sK5)
| ~ s_t(sK2,X0,sK3) ),
inference(superposition,[status(thm)],[c_5722,c_109]) ).
tcf(c_18219,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,midpoint(X0,X2))
| s_t(X0,midpoint(X0,X2),X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_1750,c_109]) ).
tcf(c_18220,plain,
! [X0: $i] :
( s_t(sK0,iPr_def_10,X0)
| s_t(sK0,X0,iPr_def_10)
| ~ s_t(sK0,X0,sK5) ),
inference(superposition,[status(thm)],[c_8163,c_109]) ).
tcf(c_18221,plain,
! [X0: $i] :
( s_t(sK2,iPr_def_11,X0)
| s_t(sK2,X0,iPr_def_11)
| ~ s_t(sK2,X0,sK1) ),
inference(superposition,[status(thm)],[c_8165,c_109]) ).
tcf(c_18222,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_8175,c_109]) ).
tcf(c_18223,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_8180,c_109]) ).
tcf(c_18224,plain,
! [X0: $i] :
( s_t(sK3,sK4,X0)
| s_t(sK3,X0,sK4)
| ~ s_t(sK3,X0,sK0) ),
inference(superposition,[status(thm)],[c_8200,c_109]) ).
tcf(c_18225,plain,
! [X0: $i] :
( s_t(sK3,sK5,X0)
| s_t(sK3,X0,sK5)
| ~ s_t(sK3,X0,sK2) ),
inference(superposition,[status(thm)],[c_8201,c_109]) ).
tcf(c_18226,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X1,midpoint(X2,X0))
| s_t(X0,midpoint(X2,X0),X1)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8202,c_109]) ).
tcf(c_18227,plain,
! [X0: $i] :
( s_t(sK5,iPr_def_10,X0)
| s_t(sK5,X0,iPr_def_10)
| ~ s_t(sK5,X0,sK0) ),
inference(superposition,[status(thm)],[c_8203,c_109]) ).
tcf(c_18228,plain,
! [X0: $i] :
( s_t(sK1,iPr_def_11,X0)
| s_t(sK1,X0,iPr_def_11)
| ~ s_t(sK1,X0,sK2) ),
inference(superposition,[status(thm)],[c_8204,c_109]) ).
tcf(c_18229,plain,
! [X0: $i] :
( s_t(sK0,sK4,X0)
| s_t(sK0,X0,sK4)
| ~ s_t(sK0,X0,midpoint(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_10794,c_109]) ).
tcf(c_18230,plain,
! [X0: $i] :
( s_t(sK2,sK5,X0)
| s_t(sK2,X0,sK5)
| ~ s_t(sK2,X0,midpoint(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_10807,c_109]) ).
tcf(c_18231,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK4,sK3,X0)
| s_t(sK4,X0,sK3)
| ~ s_t(sK4,X0,ext(sK0,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10812,c_109]) ).
tcf(c_18232,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,sK3,X0)
| s_t(sK4,X0,sK3)
| ~ sameside(sK0,sK3,X1)
| ~ s_t(sK4,X0,c63(sK0,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10814,c_109]) ).
tcf(c_18233,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,sK3,X0)
| s_t(sK4,X0,sK3)
| ~ sameside(X1,sK3,sK0)
| ~ s_t(sK4,X0,c63(X1,sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10815,c_109]) ).
tcf(c_18234,plain,
! [X0: $i] :
( s_t(sK4,sK3,X0)
| s_t(sK4,X0,sK3)
| ~ s_t(sK4,X0,s(sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10816,c_109]) ).
tcf(c_18235,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK5,sK3,X0)
| s_t(sK5,X0,sK3)
| ~ s_t(sK5,X0,ext(sK2,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10836,c_109]) ).
tcf(c_18236,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,sK3,X0)
| s_t(sK5,X0,sK3)
| ~ sameside(sK2,sK3,X1)
| ~ s_t(sK5,X0,c63(sK2,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10838,c_109]) ).
tcf(c_18237,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,sK3,X0)
| s_t(sK5,X0,sK3)
| ~ sameside(X1,sK3,sK2)
| ~ s_t(sK5,X0,c63(X1,sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10839,c_109]) ).
tcf(c_18238,plain,
! [X0: $i] :
( s_t(sK5,sK3,X0)
| s_t(sK5,X0,sK3)
| ~ s_t(sK5,X0,s(sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10840,c_109]) ).
tcf(c_18239,plain,
! [X0: $i] :
( s_t(sK0,X0,midpoint(sK3,sK4))
| s_t(sK0,midpoint(sK3,sK4),X0)
| ~ s_t(sK0,X0,sK3) ),
inference(superposition,[status(thm)],[c_10855,c_109]) ).
tcf(c_18240,plain,
! [X0: $i] :
( s_t(sK2,X0,midpoint(sK3,sK5))
| s_t(sK2,midpoint(sK3,sK5),X0)
| ~ s_t(sK2,X0,sK3) ),
inference(superposition,[status(thm)],[c_10867,c_109]) ).
tcf(c_18241,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK4,X0)
| s_t(sK0,X0,sK4)
| ~ s_t(sK0,X0,ext(sK0,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10872,c_109]) ).
tcf(c_18242,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK4,X0)
| s_t(sK0,X0,sK4)
| ~ sameside(sK0,sK3,X1)
| ~ s_t(sK0,X0,c63(sK0,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10874,c_109]) ).
tcf(c_18243,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK4,X0)
| s_t(sK0,X0,sK4)
| ~ sameside(X1,sK3,sK0)
| ~ s_t(sK0,X0,c63(X1,sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10875,c_109]) ).
tcf(c_18244,plain,
! [X0: $i] :
( s_t(sK0,sK4,X0)
| s_t(sK0,X0,sK4)
| ~ s_t(sK0,X0,s(sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10876,c_109]) ).
tcf(c_18245,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,sK5,X0)
| s_t(sK2,X0,sK5)
| ~ s_t(sK2,X0,ext(sK2,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10893,c_109]) ).
tcf(c_18246,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK5,X0)
| s_t(sK2,X0,sK5)
| ~ sameside(sK2,sK3,X1)
| ~ s_t(sK2,X0,c63(sK2,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10895,c_109]) ).
tcf(c_18247,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK5,X0)
| s_t(sK2,X0,sK5)
| ~ sameside(X1,sK3,sK2)
| ~ s_t(sK2,X0,c63(X1,sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10896,c_109]) ).
tcf(c_18248,plain,
! [X0: $i] :
( s_t(sK2,sK5,X0)
| s_t(sK2,X0,sK5)
| ~ s_t(sK2,X0,s(sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10897,c_109]) ).
tcf(c_18249,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK4,X0)
| s_t(sK0,X0,sK4)
| ~ le(sK0,sK3,X1,X2)
| ~ s_t(sK0,X0,ins(X1,X2,sK0,sK3)) ),
inference(superposition,[status(thm)],[c_10944,c_109]) ).
tcf(c_18250,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK4,sK3,X0)
| s_t(sK4,X0,sK3)
| ~ le(sK0,sK3,X1,X2)
| ~ s_t(sK4,X0,ins(X1,X2,sK0,sK3)) ),
inference(superposition,[status(thm)],[c_10945,c_109]) ).
tcf(c_18251,plain,
! [X0: $i] :
( s_t(midpoint(sK3,sK4),sK4,X0)
| s_t(midpoint(sK3,sK4),X0,sK4)
| ~ s_t(midpoint(sK3,sK4),X0,sK0) ),
inference(superposition,[status(thm)],[c_11193,c_109]) ).
tcf(c_18252,plain,
! [X0: $i] :
( s_t(midpoint(sK3,sK5),sK5,X0)
| s_t(midpoint(sK3,sK5),X0,sK5)
| ~ s_t(midpoint(sK3,sK5),X0,sK2) ),
inference(superposition,[status(thm)],[c_11222,c_109]) ).
tcf(c_18253,plain,
! [X0: $i] :
( s_t(s(sK3,sK0),sK3,X0)
| s_t(s(sK3,sK0),X0,sK3)
| ~ s_t(s(sK3,sK0),X0,sK4) ),
inference(superposition,[status(thm)],[c_11254,c_109]) ).
tcf(c_18254,plain,
! [X0: $i] :
( s_t(s(sK3,sK2),sK3,X0)
| s_t(s(sK3,sK2),X0,sK3)
| ~ s_t(s(sK3,sK2),X0,sK5) ),
inference(superposition,[status(thm)],[c_11286,c_109]) ).
tcf(c_18255,plain,
! [X0: $i] :
( s_t(sK3,X0,midpoint(sK3,sK4))
| s_t(sK3,midpoint(sK3,sK4),X0)
| ~ s_t(sK3,X0,sK0) ),
inference(superposition,[status(thm)],[c_11315,c_109]) ).
tcf(c_18777,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_18778,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_18779,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_18780,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X0,X3)
| s_r(foot(X1,X0,X3),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_209,c_181]) ).
tcf(c_18781,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X0,X3)
| s_r(erectAux21a(X1,X0,X3),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_216,c_181]) ).
tcf(c_18782,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_r(erectAux(X1,X0,X3),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_219,c_181]) ).
tcf(c_18783,plain,
! [X0: $i] :
( s_r(sK4,sK1,X0)
| ( sK1 = sK2 )
| ~ s_r(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_5724,c_181]) ).
tcf(c_18785,plain,
! [X0: $i] :
( s_r(sK1,sK2,X0)
| ( sK2 = sK4 )
| ~ s_r(sK4,sK2,X0) ),
inference(superposition,[status(thm)],[c_8256,c_181]) ).
tcf(c_18786,plain,
! [X0: $i] :
( s_r(sK2,sK4,X0)
| ( sK1 = sK4 )
| ~ s_r(sK1,sK4,X0) ),
inference(superposition,[status(thm)],[c_8263,c_181]) ).
tcf(c_18787,plain,
! [X0: $i] :
( s_r(sK1,sK4,X0)
| ( sK2 = sK4 )
| ~ s_r(sK2,sK4,X0) ),
inference(superposition,[status(thm)],[c_8270,c_181]) ).
tcf(c_18788,plain,
! [X0: $i] :
( s_r(sK4,sK2,X0)
| ( sK1 = sK2 )
| ~ s_r(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_8277,c_181]) ).
tcf(c_18789,plain,
! [X0: $i] :
( s_r(sK2,sK1,X0)
| ( sK1 = sK4 )
| ~ s_r(sK4,sK1,X0) ),
inference(superposition,[status(thm)],[c_8283,c_181]) ).
tcf(c_18790,plain,
! [X0: $i] :
( s_r(sK3,sK0,X0)
| ( sK0 = sK4 )
| ~ s_r(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_8511,c_181]) ).
tcf(c_18791,plain,
! [X0: $i] :
( s_r(sK3,sK2,X0)
| ( sK2 = sK5 )
| ~ s_r(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_8512,c_181]) ).
tcf(c_18792,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,X0,X2)
| ( midpoint(X0,X1) = X0 )
| ~ s_r(midpoint(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_8513,c_181]) ).
tcf(c_18793,plain,
! [X0: $i] :
( s_r(sK5,sK0,X0)
| ( sK0 = iPr_def_10 )
| ~ s_r(iPr_def_10,sK0,X0) ),
inference(superposition,[status(thm)],[c_8514,c_181]) ).
tcf(c_18794,plain,
! [X0: $i] :
( s_r(sK1,sK2,X0)
| ( sK2 = iPr_def_11 )
| ~ s_r(iPr_def_11,sK2,X0) ),
inference(superposition,[status(thm)],[c_8515,c_181]) ).
tcf(c_18795,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_8516,c_181]) ).
tcf(c_18796,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_8517,c_181]) ).
tcf(c_18797,plain,
! [X0: $i] :
( s_r(sK0,sK3,X0)
| ( sK3 = sK4 )
| ~ s_r(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_8518,c_181]) ).
tcf(c_18798,plain,
! [X0: $i] :
( s_r(sK2,sK3,X0)
| ( sK3 = sK5 )
| ~ s_r(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_8519,c_181]) ).
tcf(c_18799,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X0,X1,X2)
| ( midpoint(X0,X1) = X1 )
| ~ s_r(midpoint(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_8520,c_181]) ).
tcf(c_18800,plain,
! [X0: $i] :
( s_r(sK0,sK5,X0)
| ( sK5 = iPr_def_10 )
| ~ s_r(iPr_def_10,sK5,X0) ),
inference(superposition,[status(thm)],[c_8521,c_181]) ).
tcf(c_18801,plain,
! [X0: $i] :
( s_r(sK2,sK1,X0)
| ( sK1 = iPr_def_11 )
| ~ s_r(iPr_def_11,sK1,X0) ),
inference(superposition,[status(thm)],[c_8522,c_181]) ).
tcf(c_18802,plain,
! [X0: $i] :
( s_r(sK4,sK3,X0)
| ( sK0 = sK3 )
| ~ s_r(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_8534,c_181]) ).
tcf(c_18803,plain,
! [X0: $i] :
( s_r(sK5,sK3,X0)
| ( sK2 = sK3 )
| ~ s_r(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_8535,c_181]) ).
tcf(c_18804,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(midpoint(X0,X1),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8536,c_181]) ).
tcf(c_18805,plain,
! [X0: $i] :
( s_r(iPr_def_10,sK5,X0)
| ( sK0 = sK5 )
| ~ s_r(sK0,sK5,X0) ),
inference(superposition,[status(thm)],[c_8537,c_181]) ).
tcf(c_18806,plain,
! [X0: $i] :
( s_r(iPr_def_11,sK1,X0)
| ( sK1 = sK2 )
| ~ s_r(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_8538,c_181]) ).
tcf(c_18807,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_8539,c_181]) ).
tcf(c_18808,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_8540,c_181]) ).
tcf(c_18809,plain,
! [X0: $i] :
( s_r(sK4,sK0,X0)
| ( sK0 = sK3 )
| ~ s_r(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_8541,c_181]) ).
tcf(c_18810,plain,
! [X0: $i] :
( s_r(sK5,sK2,X0)
| ( sK2 = sK3 )
| ~ s_r(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_8542,c_181]) ).
tcf(c_18811,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(midpoint(X1,X0),X1,X2)
| ( X0 = X1 )
| ~ s_r(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8543,c_181]) ).
tcf(c_18812,plain,
! [X0: $i] :
( s_r(iPr_def_10,sK0,X0)
| ( sK0 = sK5 )
| ~ s_r(sK5,sK0,X0) ),
inference(superposition,[status(thm)],[c_8544,c_181]) ).
tcf(c_18813,plain,
! [X0: $i] :
( s_r(iPr_def_11,sK2,X0)
| ( sK1 = sK2 )
| ~ s_r(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_8545,c_181]) ).
tcf(c_18814,plain,
! [X0: $i] :
( s_r(sK3,sK4,X0)
| ( sK0 = sK4 )
| ~ s_r(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_8552,c_181]) ).
tcf(c_18815,plain,
! [X0: $i] :
( s_r(sK0,sK4,X0)
| ( sK3 = sK4 )
| ~ s_r(sK3,sK4,X0) ),
inference(superposition,[status(thm)],[c_8555,c_181]) ).
tcf(c_18816,plain,
! [X0: $i] :
( s_r(sK3,sK5,X0)
| ( sK2 = sK5 )
| ~ s_r(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_8557,c_181]) ).
tcf(c_18817,plain,
! [X0: $i] :
( s_r(sK2,sK5,X0)
| ( sK3 = sK5 )
| ~ s_r(sK3,sK5,X0) ),
inference(superposition,[status(thm)],[c_8560,c_181]) ).
tcf(c_18818,plain,
! [X0: $i] :
( s_r(sK5,iPr_def_10,X0)
| ( sK0 = iPr_def_10 )
| ~ s_r(sK0,iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_8562,c_181]) ).
tcf(c_18819,plain,
! [X0: $i] :
( s_r(sK0,iPr_def_10,X0)
| ( sK5 = iPr_def_10 )
| ~ s_r(sK5,iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_8565,c_181]) ).
tcf(c_18820,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,midpoint(X1,X0),X2)
| ( midpoint(X1,X0) = X0 )
| ~ s_r(X0,midpoint(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_8631,c_181]) ).
tcf(c_18821,plain,
! [X0: $i] :
( s_r(sK2,iPr_def_11,X0)
| ( sK1 = iPr_def_11 )
| ~ s_r(sK1,iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_8633,c_181]) ).
tcf(c_18822,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_8634,c_181]) ).
tcf(c_18823,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_8635,c_181]) ).
tcf(c_18824,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_r(X1,midpoint(X0,X1),X2)
| ( midpoint(X0,X1) = X0 )
| ~ s_r(X0,midpoint(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_8638,c_181]) ).
tcf(c_18825,plain,
! [X0: $i] :
( s_r(sK1,iPr_def_11,X0)
| ( sK2 = iPr_def_11 )
| ~ s_r(sK2,iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_8640,c_181]) ).
tcf(c_18826,plain,
! [X0: $i] :
( s_r(sK0,sK4,X0)
| ( midpoint(sK3,sK4) = sK4 )
| ~ s_r(midpoint(sK3,sK4),sK4,X0) ),
inference(superposition,[status(thm)],[c_11190,c_181]) ).
tcf(c_18827,plain,
! [X0: $i] :
( s_r(sK4,midpoint(sK3,sK4),X0)
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_r(sK0,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_11191,c_181]) ).
tcf(c_18828,plain,
! [X0: $i] :
( s_r(midpoint(sK3,sK4),sK0,X0)
| ( sK0 = sK4 )
| ~ s_r(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_11192,c_181]) ).
tcf(c_18829,plain,
! [X0: $i] :
( s_r(sK2,sK5,X0)
| ( midpoint(sK3,sK5) = sK5 )
| ~ s_r(midpoint(sK3,sK5),sK5,X0) ),
inference(superposition,[status(thm)],[c_11219,c_181]) ).
tcf(c_18830,plain,
! [X0: $i] :
( s_r(sK5,midpoint(sK3,sK5),X0)
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_r(sK2,midpoint(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_11220,c_181]) ).
tcf(c_18831,plain,
! [X0: $i] :
( s_r(midpoint(sK3,sK5),sK2,X0)
| ( sK2 = sK5 )
| ~ s_r(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_11221,c_181]) ).
tcf(c_18832,plain,
! [X0: $i] :
( s_r(sK4,sK3,X0)
| ( s(sK3,sK0) = sK3 )
| ~ s_r(s(sK3,sK0),sK3,X0) ),
inference(superposition,[status(thm)],[c_11251,c_181]) ).
tcf(c_18833,plain,
! [X0: $i] :
( s_r(sK3,s(sK3,sK0),X0)
| ( s(sK3,sK0) = sK4 )
| ~ s_r(sK4,s(sK3,sK0),X0) ),
inference(superposition,[status(thm)],[c_11252,c_181]) ).
tcf(c_18834,plain,
! [X0: $i] :
( s_r(s(sK3,sK0),sK4,X0)
| ( sK3 = sK4 )
| ~ s_r(sK3,sK4,X0) ),
inference(superposition,[status(thm)],[c_11253,c_181]) ).
tcf(c_18835,plain,
! [X0: $i] :
( s_r(sK5,sK3,X0)
| ( s(sK3,sK2) = sK3 )
| ~ s_r(s(sK3,sK2),sK3,X0) ),
inference(superposition,[status(thm)],[c_11283,c_181]) ).
tcf(c_18836,plain,
! [X0: $i] :
( s_r(sK3,s(sK3,sK2),X0)
| ( s(sK3,sK2) = sK5 )
| ~ s_r(sK5,s(sK3,sK2),X0) ),
inference(superposition,[status(thm)],[c_11284,c_181]) ).
tcf(c_18837,plain,
! [X0: $i] :
( s_r(s(sK3,sK2),sK5,X0)
| ( sK3 = sK5 )
| ~ s_r(sK3,sK5,X0) ),
inference(superposition,[status(thm)],[c_11285,c_181]) ).
tcf(c_18838,plain,
! [X0: $i] :
( s_r(sK0,midpoint(sK3,sK4),X0)
| ( midpoint(sK3,sK4) = sK3 )
| ~ s_r(sK3,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_11312,c_181]) ).
tcf(c_18839,plain,
! [X0: $i] :
( s_r(midpoint(sK3,sK4),sK3,X0)
| ( sK0 = sK3 )
| ~ s_r(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_11313,c_181]) ).
tcf(c_18840,plain,
! [X0: $i] :
( s_r(sK3,sK0,X0)
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_r(midpoint(sK3,sK4),sK0,X0) ),
inference(superposition,[status(thm)],[c_11314,c_181]) ).
tcf(c_19150,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_19151,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_19152,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ( foot(X0,X1,X2) = X1 )
| ~ s_r(X0,X1,foot(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_209,c_187]) ).
tcf(c_19153,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ( erectAux21a(X0,X1,X2) = X1 )
| ~ s_r(X0,X1,erectAux21a(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_216,c_187]) ).
tcf(c_19154,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( erectAux(X0,X1,X2) = X1 )
| ~ s_r(X0,X1,erectAux(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_219,c_187]) ).
tcf(c_19155,plain,
( ( sK2 = sK4 )
| ( sK1 = sK2 )
| ~ s_r(sK1,sK2,sK4) ),
inference(superposition,[status(thm)],[c_5724,c_187]) ).
tcf(c_19157,plain,
( ( sK2 = sK4 )
| ( sK1 = sK4 )
| ~ s_r(sK2,sK4,sK1) ),
inference(superposition,[status(thm)],[c_8256,c_187]) ).
tcf(c_19158,plain,
( ( sK1 = sK4 )
| ( sK1 = sK2 )
| ~ s_r(sK4,sK1,sK2) ),
inference(superposition,[status(thm)],[c_8263,c_187]) ).
tcf(c_19159,plain,
( ( sK2 = sK4 )
| ( sK1 = sK2 )
| ~ s_r(sK4,sK2,sK1) ),
inference(superposition,[status(thm)],[c_8270,c_187]) ).
tcf(c_19160,plain,
( ( sK1 = sK4 )
| ( sK1 = sK2 )
| ~ s_r(sK2,sK1,sK4) ),
inference(superposition,[status(thm)],[c_8277,c_187]) ).
tcf(c_19161,plain,
( ( sK2 = sK4 )
| ( sK1 = sK4 )
| ~ s_r(sK1,sK4,sK2) ),
inference(superposition,[status(thm)],[c_8283,c_187]) ).
tcf(c_19162,plain,
( ( sK3 = sK4 )
| ( sK0 = sK4 )
| ~ s_r(sK0,sK4,sK3) ),
inference(superposition,[status(thm)],[c_8511,c_187]) ).
tcf(c_19163,plain,
( ( sK3 = sK5 )
| ( sK2 = sK5 )
| ~ s_r(sK2,sK5,sK3) ),
inference(superposition,[status(thm)],[c_8512,c_187]) ).
tcf(c_19164,plain,
! [X0: $i,X1: $i] :
( ( midpoint(X0,X1) = X1 )
| ( midpoint(X0,X1) = X0 )
| ~ s_r(X0,midpoint(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_8513,c_187]) ).
tcf(c_19165,plain,
( ( sK5 = iPr_def_10 )
| ( sK0 = iPr_def_10 )
| ~ s_r(sK0,iPr_def_10,sK5) ),
inference(superposition,[status(thm)],[c_8514,c_187]) ).
tcf(c_19166,plain,
( ( sK2 = iPr_def_11 )
| ( sK1 = iPr_def_11 )
| ~ s_r(sK2,iPr_def_11,sK1) ),
inference(superposition,[status(thm)],[c_8515,c_187]) ).
tcf(c_19167,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X1,X0) = X1 )
| ~ s_r(X0,X1,s(X1,X0)) ),
inference(superposition,[status(thm)],[c_8516,c_187]) ).
tcf(c_19169,plain,
( ( sK3 = sK4 )
| ( sK0 = sK4 )
| ~ s_r(sK3,sK4,sK0) ),
inference(superposition,[status(thm)],[c_8518,c_187]) ).
tcf(c_19170,plain,
( ( sK3 = sK5 )
| ( sK2 = sK5 )
| ~ s_r(sK3,sK5,sK2) ),
inference(superposition,[status(thm)],[c_8519,c_187]) ).
tcf(c_19171,plain,
! [X0: $i,X1: $i] :
( ( midpoint(X1,X0) = X1 )
| ( midpoint(X1,X0) = X0 )
| ~ s_r(X0,midpoint(X1,X0),X1) ),
inference(superposition,[status(thm)],[c_8520,c_187]) ).
tcf(c_19172,plain,
( ( sK5 = iPr_def_10 )
| ( sK0 = iPr_def_10 )
| ~ s_r(sK5,iPr_def_10,sK0) ),
inference(superposition,[status(thm)],[c_8521,c_187]) ).
tcf(c_19173,plain,
( ( sK2 = iPr_def_11 )
| ( sK1 = iPr_def_11 )
| ~ s_r(sK1,iPr_def_11,sK2) ),
inference(superposition,[status(thm)],[c_8522,c_187]) ).
tcf(c_19174,plain,
( ( sK0 = sK4 )
| ( sK0 = sK3 )
| ~ s_r(sK3,sK0,sK4) ),
inference(superposition,[status(thm)],[c_8534,c_187]) ).
tcf(c_19175,plain,
( ( sK2 = sK5 )
| ( sK2 = sK3 )
| ~ s_r(sK3,sK2,sK5) ),
inference(superposition,[status(thm)],[c_8535,c_187]) ).
tcf(c_19176,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( midpoint(X1,X0) = X1 )
| ~ s_r(X0,X1,midpoint(X1,X0)) ),
inference(superposition,[status(thm)],[c_8536,c_187]) ).
tcf(c_19177,plain,
( ( sK0 = iPr_def_10 )
| ( sK0 = sK5 )
| ~ s_r(sK5,sK0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8537,c_187]) ).
tcf(c_19178,plain,
( ( sK2 = iPr_def_11 )
| ( sK1 = sK2 )
| ~ s_r(sK1,sK2,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8538,c_187]) ).
tcf(c_19179,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X0,X1) = X1 )
| ~ s_r(s(X0,X1),X1,X0) ),
inference(superposition,[status(thm)],[c_8539,c_187]) ).
tcf(c_19180,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_8540,c_187]) ).
tcf(c_19181,plain,
( ( sK3 = sK4 )
| ( sK0 = sK3 )
| ~ s_r(sK0,sK3,sK4) ),
inference(superposition,[status(thm)],[c_8541,c_187]) ).
tcf(c_19182,plain,
( ( sK3 = sK5 )
| ( sK2 = sK3 )
| ~ s_r(sK2,sK3,sK5) ),
inference(superposition,[status(thm)],[c_8542,c_187]) ).
tcf(c_19183,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( midpoint(X0,X1) = X1 )
| ~ s_r(X0,X1,midpoint(X0,X1)) ),
inference(superposition,[status(thm)],[c_8543,c_187]) ).
tcf(c_19184,plain,
( ( sK5 = iPr_def_10 )
| ( sK0 = sK5 )
| ~ s_r(sK0,sK5,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8544,c_187]) ).
tcf(c_19185,plain,
( ( sK1 = iPr_def_11 )
| ( sK1 = sK2 )
| ~ s_r(sK2,sK1,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8545,c_187]) ).
tcf(c_19186,plain,
( ( sK0 = sK4 )
| ( sK0 = sK3 )
| ~ s_r(sK4,sK0,sK3) ),
inference(superposition,[status(thm)],[c_8552,c_187]) ).
tcf(c_19187,plain,
( ( sK3 = sK4 )
| ( sK0 = sK3 )
| ~ s_r(sK4,sK3,sK0) ),
inference(superposition,[status(thm)],[c_8555,c_187]) ).
tcf(c_19188,plain,
( ( sK2 = sK5 )
| ( sK2 = sK3 )
| ~ s_r(sK5,sK2,sK3) ),
inference(superposition,[status(thm)],[c_8557,c_187]) ).
tcf(c_19189,plain,
( ( sK3 = sK5 )
| ( sK2 = sK3 )
| ~ s_r(sK5,sK3,sK2) ),
inference(superposition,[status(thm)],[c_8560,c_187]) ).
tcf(c_19190,plain,
( ( sK0 = iPr_def_10 )
| ( sK0 = sK5 )
| ~ s_r(iPr_def_10,sK0,sK5) ),
inference(superposition,[status(thm)],[c_8562,c_187]) ).
tcf(c_19191,plain,
( ( sK5 = iPr_def_10 )
| ( sK0 = sK5 )
| ~ s_r(iPr_def_10,sK5,sK0) ),
inference(superposition,[status(thm)],[c_8565,c_187]) ).
tcf(c_19192,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( midpoint(X0,X1) = X1 )
| ~ s_r(midpoint(X0,X1),X1,X0) ),
inference(superposition,[status(thm)],[c_8631,c_187]) ).
tcf(c_19193,plain,
( ( sK1 = iPr_def_11 )
| ( sK1 = sK2 )
| ~ s_r(iPr_def_11,sK1,sK2) ),
inference(superposition,[status(thm)],[c_8633,c_187]) ).
tcf(c_19194,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_8634,c_187]) ).
tcf(c_19195,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( s(X0,X1) = X1 )
| ~ s_r(X0,X1,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_8635,c_187]) ).
tcf(c_19196,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( midpoint(X0,X1) = X0 )
| ~ s_r(midpoint(X0,X1),X0,X1) ),
inference(superposition,[status(thm)],[c_8638,c_187]) ).
tcf(c_19197,plain,
( ( sK2 = iPr_def_11 )
| ( sK1 = sK2 )
| ~ s_r(iPr_def_11,sK2,sK1) ),
inference(superposition,[status(thm)],[c_8640,c_187]) ).
tcf(c_19198,plain,
( ( midpoint(sK3,sK4) = sK4 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_r(sK4,midpoint(sK3,sK4),sK0) ),
inference(superposition,[status(thm)],[c_11190,c_187]) ).
tcf(c_19199,plain,
( ( sK0 = sK4 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_r(midpoint(sK3,sK4),sK0,sK4) ),
inference(superposition,[status(thm)],[c_11191,c_187]) ).
tcf(c_19200,plain,
( ( sK0 = sK4 )
| ( midpoint(sK3,sK4) = sK4 )
| ~ s_r(sK0,sK4,midpoint(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_11192,c_187]) ).
tcf(c_19201,plain,
( ( midpoint(sK3,sK5) = sK5 )
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_r(sK5,midpoint(sK3,sK5),sK2) ),
inference(superposition,[status(thm)],[c_11219,c_187]) ).
tcf(c_19202,plain,
( ( sK2 = sK5 )
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_r(midpoint(sK3,sK5),sK2,sK5) ),
inference(superposition,[status(thm)],[c_11220,c_187]) ).
tcf(c_19203,plain,
( ( sK2 = sK5 )
| ( midpoint(sK3,sK5) = sK5 )
| ~ s_r(sK2,sK5,midpoint(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_11221,c_187]) ).
tcf(c_19204,plain,
( ( s(sK3,sK0) = sK4 )
| ( s(sK3,sK0) = sK3 )
| ~ s_r(sK3,s(sK3,sK0),sK4) ),
inference(superposition,[status(thm)],[c_11251,c_187]) ).
tcf(c_19205,plain,
( ( sK3 = sK4 )
| ( s(sK3,sK0) = sK4 )
| ~ s_r(s(sK3,sK0),sK4,sK3) ),
inference(superposition,[status(thm)],[c_11252,c_187]) ).
tcf(c_19206,plain,
( ( sK3 = sK4 )
| ( s(sK3,sK0) = sK3 )
| ~ s_r(sK4,sK3,s(sK3,sK0)) ),
inference(superposition,[status(thm)],[c_11253,c_187]) ).
tcf(c_19207,plain,
( ( s(sK3,sK2) = sK5 )
| ( s(sK3,sK2) = sK3 )
| ~ s_r(sK3,s(sK3,sK2),sK5) ),
inference(superposition,[status(thm)],[c_11283,c_187]) ).
tcf(c_19208,plain,
( ( sK3 = sK5 )
| ( s(sK3,sK2) = sK5 )
| ~ s_r(s(sK3,sK2),sK5,sK3) ),
inference(superposition,[status(thm)],[c_11284,c_187]) ).
tcf(c_19209,plain,
( ( sK3 = sK5 )
| ( s(sK3,sK2) = sK3 )
| ~ s_r(sK5,sK3,s(sK3,sK2)) ),
inference(superposition,[status(thm)],[c_11285,c_187]) ).
tcf(c_19210,plain,
( ( sK0 = sK3 )
| ( midpoint(sK3,sK4) = sK3 )
| ~ s_r(midpoint(sK3,sK4),sK3,sK0) ),
inference(superposition,[status(thm)],[c_11312,c_187]) ).
tcf(c_19211,plain,
( ( sK0 = sK3 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_r(sK3,sK0,midpoint(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_11313,c_187]) ).
tcf(c_19212,plain,
( ( midpoint(sK3,sK4) = sK3 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_r(sK0,midpoint(sK3,sK4),sK3) ),
inference(superposition,[status(thm)],[c_11314,c_187]) ).
tcf(c_19516,plain,
( ( sK2 = sK3 )
| ( midpoint(sK3,sK5) = sK3 )
| ~ s_r(midpoint(sK3,sK5),sK3,sK2) ),
inference(superposition,[status(thm)],[c_11345,c_187]) ).
tcf(c_19517,plain,
! [X0: $i] :
( s_r(sK2,midpoint(sK3,sK5),X0)
| ( midpoint(sK3,sK5) = sK3 )
| ~ s_r(sK3,midpoint(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_11345,c_181]) ).
tcf(c_19519,plain,
( sameside(midpoint(sK3,sK5),sK3,sK2)
| s_t(midpoint(sK3,sK5),sK3,sK2) ),
inference(superposition,[status(thm)],[c_11345,c_134]) ).
tcf(c_19520,plain,
s_col(midpoint(sK3,sK5),sK2,sK3),
inference(superposition,[status(thm)],[c_11345,c_98]) ).
tcf(c_19521,plain,
s_col(sK3,midpoint(sK3,sK5),sK2),
inference(superposition,[status(thm)],[c_11345,c_97]) ).
tcf(c_19522,plain,
s_col(sK2,sK3,midpoint(sK3,sK5)),
inference(superposition,[status(thm)],[c_11345,c_96]) ).
tcf(c_19585,plain,
( ( sK2 = sK3 )
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_r(sK3,sK2,midpoint(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_11346,c_187]) ).
tcf(c_19586,plain,
! [X0: $i] :
( s_r(midpoint(sK3,sK5),sK3,X0)
| ( sK2 = sK3 )
| ~ s_r(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_11346,c_181]) ).
tcf(c_19588,plain,
( sameside(sK3,sK2,midpoint(sK3,sK5))
| s_t(sK3,sK2,midpoint(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_11346,c_134]) ).
tcf(c_19611,plain,
( ( midpoint(sK3,sK5) = sK3 )
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_r(sK2,midpoint(sK3,sK5),sK3) ),
inference(superposition,[status(thm)],[c_11347,c_187]) ).
tcf(c_19612,plain,
! [X0: $i] :
( s_r(sK3,sK2,X0)
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_r(midpoint(sK3,sK5),sK2,X0) ),
inference(superposition,[status(thm)],[c_11347,c_181]) ).
tcf(c_19654,plain,
! [X0: $i] :
( s_t(sK3,X0,midpoint(sK3,sK5))
| s_t(sK3,midpoint(sK3,sK5),X0)
| ~ s_t(sK3,X0,sK2) ),
inference(superposition,[status(thm)],[c_11348,c_109]) ).
tcf(c_19655,plain,
! [X0: $i] :
( s_t(sK3,midpoint(sK3,sK5),X0)
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_t(midpoint(sK3,sK5),sK2,X0) ),
inference(superposition,[status(thm)],[c_11348,c_81]) ).
tcf(c_19656,plain,
! [X0: $i] :
( s_t(sK3,sK2,X0)
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_t(midpoint(sK3,sK5),sK2,X0) ),
inference(superposition,[status(thm)],[c_11348,c_78]) ).
tcf(c_19657,plain,
( sameside(sK2,sK3,midpoint(sK3,sK5))
| ( sK2 = sK3 )
| ( midpoint(sK3,sK5) = sK3 ) ),
inference(superposition,[status(thm)],[c_11348,c_266]) ).
tcf(c_19658,plain,
( sameside(midpoint(sK3,sK5),sK3,sK2)
| ( sK3 = xb )
| ( midpoint(sK3,sK5) = sK3 ) ),
inference(superposition,[status(thm)],[c_11348,c_265]) ).
tcf(c_19659,plain,
! [X0: $i] :
( s_t(sK3,midpoint(sK3,sK5),X0)
| ~ s_t(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_11348,c_80]) ).
tcf(c_19660,plain,
! [X0: $i] :
( s_t(sK3,X0,sK2)
| ~ s_t(midpoint(sK3,sK5),X0,sK2) ),
inference(superposition,[status(thm)],[c_11348,c_79]) ).
tcf(c_19661,plain,
! [X0: $i] :
( s_t(midpoint(sK3,sK5),sK2,X0)
| ~ s_t(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_11348,c_77]) ).
tcf(c_19662,plain,
! [X0: $i] :
( s_t(sK3,midpoint(sK3,sK5),X0)
| ~ s_t(midpoint(sK3,sK5),X0,sK2) ),
inference(superposition,[status(thm)],[c_11348,c_76]) ).
tcf(c_19663,plain,
( ( midpoint(sK3,sK5) = sK3 )
| ~ s_t(midpoint(sK3,sK5),sK3,sK2) ),
inference(superposition,[status(thm)],[c_11348,c_75]) ).
tcf(c_19664,plain,
~ sameside(sK3,midpoint(sK3,sK5),sK2),
inference(superposition,[status(thm)],[c_11348,c_133]) ).
tcf(c_19840,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK4,ext(sK4,sK3,X0,X1))
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_52,c_17913]) ).
tcf(c_19842,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK4,ins(X0,X1,sK4,sK3))
| ( sK3 = sK4 )
| ~ le(sK4,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_17913]) ).
tcf(c_19843,plain,
! [X0: $i] :
( s_t(sK0,sK4,c63(sK4,sK3,X0))
| ( sK3 = sK4 )
| ~ sameside(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_129,c_17913]) ).
tcf(c_19844,plain,
! [X0: $i] :
( s_t(sK0,sK4,c63(X0,sK3,sK4))
| ( sK3 = sK4 )
| ~ sameside(X0,sK3,sK4) ),
inference(superposition,[status(thm)],[c_130,c_17913]) ).
tcf(c_19845,plain,
( s_t(sK0,sK4,s(sK3,sK4))
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_8175,c_17913]) ).
tcf(c_19847,plain,
! [X0: $i] :
( s_t(sK0,sK4,c63(sK0,sK3,X0))
| ( sK3 = sK4 )
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_10814,c_17913]) ).
tcf(c_19848,plain,
! [X0: $i] :
( s_t(sK0,sK4,c63(X0,sK3,sK0))
| ( sK3 = sK4 )
| ~ sameside(X0,sK3,sK0) ),
inference(superposition,[status(thm)],[c_10815,c_17913]) ).
tcf(c_19850,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK4,ins(X0,X1,sK0,sK3))
| ( sK3 = sK4 )
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_10945,c_17913]) ).
tcf(c_19926,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK5,ext(sK5,sK3,X0,X1))
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_52,c_17914]) ).
tcf(c_19928,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK5,ins(X0,X1,sK5,sK3))
| ( sK3 = sK5 )
| ~ le(sK5,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_17914]) ).
tcf(c_19929,plain,
! [X0: $i] :
( s_t(sK2,sK5,c63(sK5,sK3,X0))
| ( sK3 = sK5 )
| ~ sameside(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_129,c_17914]) ).
tcf(c_19930,plain,
! [X0: $i] :
( s_t(sK2,sK5,c63(X0,sK3,sK5))
| ( sK3 = sK5 )
| ~ sameside(X0,sK3,sK5) ),
inference(superposition,[status(thm)],[c_130,c_17914]) ).
tcf(c_19931,plain,
( s_t(sK2,sK5,s(sK3,sK5))
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_8175,c_17914]) ).
tcf(c_19933,plain,
! [X0: $i] :
( s_t(sK2,sK5,c63(sK2,sK3,X0))
| ( sK3 = sK5 )
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_10838,c_17914]) ).
tcf(c_19934,plain,
! [X0: $i] :
( s_t(sK2,sK5,c63(X0,sK3,sK2))
| ( sK3 = sK5 )
| ~ sameside(X0,sK3,sK2) ),
inference(superposition,[status(thm)],[c_10839,c_17914]) ).
tcf(c_19990,plain,
( s_t(sK0,sK4,sK0)
| s_t(sK0,sK0,sK4) ),
inference(superposition,[status(thm)],[c_74,c_18217]) ).
tcf(c_19992,plain,
( s_t(sK0,sK4,midpoint(sK0,sK3))
| s_t(sK0,midpoint(sK0,sK3),sK4) ),
inference(superposition,[status(thm)],[c_1750,c_18217]) ).
tcf(c_19993,plain,
( s_t(sK0,sK4,midpoint(sK3,sK0))
| s_t(sK0,midpoint(sK3,sK0),sK4) ),
inference(superposition,[status(thm)],[c_8202,c_18217]) ).
tcf(c_20056,plain,
( s_t(sK2,sK5,sK2)
| s_t(sK2,sK2,sK5) ),
inference(superposition,[status(thm)],[c_74,c_18218]) ).
tcf(c_20058,plain,
( s_t(sK2,sK5,midpoint(sK2,sK3))
| s_t(sK2,midpoint(sK2,sK3),sK5) ),
inference(superposition,[status(thm)],[c_1750,c_18218]) ).
tcf(c_20059,plain,
( s_t(sK2,sK5,midpoint(sK3,sK2))
| s_t(sK2,midpoint(sK3,sK2),sK5) ),
inference(superposition,[status(thm)],[c_8202,c_18218]) ).
tcf(c_20071,plain,
! [X0: $i] :
( s_r(sK4,sK1,s(sK1,X0))
| ( sK1 = sK2 )
| ~ s_r(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_182,c_18783]) ).
tcf(c_20072,plain,
( s_r(sK4,sK1,sK1)
| ( sK1 = sK2 ) ),
inference(superposition,[status(thm)],[c_183,c_18783]) ).
tcf(c_20087,plain,
! [X0: $i] :
( s_t(sK0,sK3,X0)
| s_t(sK0,X0,sK3)
| ( sK3 = sK4 )
| ~ s_t(sK0,X0,s(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_17759,c_109]) ).
tcf(c_20088,plain,
! [X0: $i] :
( s_t(sK0,sK3,X0)
| ( sK3 = sK4 )
| ( s(sK3,sK4) = sK3 )
| ~ s_t(sK3,s(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_17759,c_81]) ).
tcf(c_20089,plain,
! [X0: $i] :
( s_t(sK0,s(sK3,sK4),X0)
| ( sK3 = sK4 )
| ( s(sK3,sK4) = sK3 )
| ~ s_t(sK3,s(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_17759,c_78]) ).
tcf(c_20090,plain,
( sameside(s(sK3,sK4),sK0,sK3)
| ( sK3 = sK4 )
| ( sK0 = sK3 )
| ( s(sK3,sK4) = sK0 ) ),
inference(superposition,[status(thm)],[c_17759,c_266]) ).
tcf(c_20091,plain,
( sameside(sK3,sK0,s(sK3,sK4))
| ( sK3 = sK4 )
| ( sK0 = xb )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_17759,c_265]) ).
tcf(c_20092,plain,
! [X0: $i] :
( s_t(sK0,sK3,X0)
| ( sK3 = sK4 )
| ~ s_t(sK0,s(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_17759,c_80]) ).
tcf(c_20093,plain,
! [X0: $i] :
( s_t(sK0,X0,s(sK3,sK4))
| ( sK3 = sK4 )
| ~ s_t(sK3,X0,s(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_17759,c_79]) ).
tcf(c_20094,plain,
! [X0: $i] :
( s_t(sK3,s(sK3,sK4),X0)
| ( sK3 = sK4 )
| ~ s_t(sK0,s(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_17759,c_77]) ).
tcf(c_20095,plain,
! [X0: $i] :
( s_t(sK0,sK3,X0)
| ( sK3 = sK4 )
| ~ s_t(sK3,X0,s(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_17759,c_76]) ).
tcf(c_20096,plain,
( ( sK3 = sK4 )
| ( sK0 = sK3 )
| ~ s_t(sK3,sK0,s(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_17759,c_75]) ).
tcf(c_20097,plain,
( ( sK3 = sK4 )
| ~ sameside(sK0,sK3,s(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_17759,c_133]) ).
tcf(c_20098,plain,
( s_col(sK3,s(sK3,sK4),sK0)
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_17759,c_253]) ).
tcf(c_20099,plain,
( s_col(s(sK3,sK4),sK0,sK3)
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_17759,c_252]) ).
tcf(c_20100,plain,
( s_col(sK0,sK3,s(sK3,sK4))
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_17759,c_251]) ).
tcf(c_20101,plain,
( s_t(s(sK3,sK4),sK3,sK0)
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_17759,c_73]) ).
tcf(c_20103,plain,
( s_t(sK4,sK3,s(sK3,sK4))
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_17759,c_10520]) ).
tcf(c_20192,plain,
! [X0: $i] :
( s_t(sK2,sK3,X0)
| s_t(sK2,X0,sK3)
| ( sK3 = sK5 )
| ~ s_t(sK2,X0,s(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_17805,c_109]) ).
tcf(c_20193,plain,
! [X0: $i] :
( s_t(sK2,sK3,X0)
| ( sK3 = sK5 )
| ( s(sK3,sK5) = sK3 )
| ~ s_t(sK3,s(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_17805,c_81]) ).
tcf(c_20194,plain,
! [X0: $i] :
( s_t(sK2,s(sK3,sK5),X0)
| ( sK3 = sK5 )
| ( s(sK3,sK5) = sK3 )
| ~ s_t(sK3,s(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_17805,c_78]) ).
tcf(c_20195,plain,
( sameside(s(sK3,sK5),sK2,sK3)
| ( sK3 = sK5 )
| ( sK2 = sK3 )
| ( s(sK3,sK5) = sK2 ) ),
inference(superposition,[status(thm)],[c_17805,c_266]) ).
tcf(c_20196,plain,
( sameside(sK3,sK2,s(sK3,sK5))
| ( sK3 = sK5 )
| ( sK2 = xb )
| ( sK2 = sK3 ) ),
inference(superposition,[status(thm)],[c_17805,c_265]) ).
tcf(c_20197,plain,
! [X0: $i] :
( s_t(sK2,sK3,X0)
| ( sK3 = sK5 )
| ~ s_t(sK2,s(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_17805,c_80]) ).
tcf(c_20198,plain,
! [X0: $i] :
( s_t(sK2,X0,s(sK3,sK5))
| ( sK3 = sK5 )
| ~ s_t(sK3,X0,s(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_17805,c_79]) ).
tcf(c_20199,plain,
! [X0: $i] :
( s_t(sK3,s(sK3,sK5),X0)
| ( sK3 = sK5 )
| ~ s_t(sK2,s(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_17805,c_77]) ).
tcf(c_20200,plain,
! [X0: $i] :
( s_t(sK2,sK3,X0)
| ( sK3 = sK5 )
| ~ s_t(sK3,X0,s(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_17805,c_76]) ).
tcf(c_20201,plain,
( ( sK3 = sK5 )
| ( sK2 = sK3 )
| ~ s_t(sK3,sK2,s(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_17805,c_75]) ).
tcf(c_20202,plain,
( ( sK3 = sK5 )
| ~ sameside(sK2,sK3,s(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_17805,c_133]) ).
tcf(c_20203,plain,
( s_col(sK3,s(sK3,sK5),sK2)
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_17805,c_253]) ).
tcf(c_20204,plain,
( s_col(s(sK3,sK5),sK2,sK3)
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_17805,c_252]) ).
tcf(c_20205,plain,
( s_col(sK2,sK3,s(sK3,sK5))
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_17805,c_251]) ).
tcf(c_20206,plain,
( s_t(s(sK3,sK5),sK3,sK2)
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_17805,c_73]) ).
tcf(c_20208,plain,
( s_t(sK5,sK3,s(sK3,sK5))
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_17805,c_10521]) ).
tcf(c_20301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X1,X3,X4)
| ~ s_e(X0,s(midpoint(X1,X0),X2),X3,X4) ),
inference(superposition,[status(thm)],[c_8800,c_63]) ).
tcf(c_20302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,s(midpoint(X1,X4),X0),X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8800,c_50]) ).
tcf(c_20303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X2,X1,X0,X3)
| ~ s_t(X0,s(midpoint(X1,X0),X2),X3) ),
inference(superposition,[status(thm)],[c_8800,c_261]) ).
tcf(c_20304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,X3,s(midpoint(X2,X3),X0))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8800,c_113]) ).
tcf(c_20309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(midpoint(X3,X0),X1,midpoint(X2,s(midpoint(X2,X1),X1)))
| ~ s_t(X3,X1,X2)
| ~ s_e(X1,X3,X1,X0)
| ~ s_t(X0,X1,s(midpoint(X2,X1),X1)) ),
inference(superposition,[status(thm)],[c_8800,c_2699]) ).
tcf(c_20310,plain,
! [X0: $i,X1: $i] :
( ( s(midpoint(X1,X0),X0) = X1 )
| ~ s_t(X0,s(midpoint(X1,X0),X0),X1) ),
inference(superposition,[status(thm)],[c_8800,c_122]) ).
tcf(c_20311,plain,
! [X0: $i] : s_r(X0,midpoint(X0,X0),X0),
inference(superposition,[status(thm)],[c_8800,c_278]) ).
tcf(c_20313,plain,
! [X0: $i] : s_e(sK1,sK0,X0,s(midpoint(sK5,X0),sK2)),
inference(superposition,[status(thm)],[c_8800,c_14226]) ).
tcf(c_20337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X2,X3,X0)
| s_t(X0,X1,erectAux21a(X2,X3,X0))
| s_t(X0,erectAux21a(X2,X3,X0),X1)
| ( X2 = X3 )
| ~ s_t(X0,X1,erect21a(X2,X3,X0)) ),
inference(superposition,[status(thm)],[c_217,c_109]) ).
tcf(c_20338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X2)
| s_t(X2,erectAux21a(X0,X1,X2),X3)
| ( X0 = X1 )
| ( erect21a(X0,X1,X2) = erectAux21a(X0,X1,X2) )
| ~ s_t(erectAux21a(X0,X1,X2),erect21a(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_217,c_81]) ).
tcf(c_20339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X2)
| s_t(X2,erect21a(X0,X1,X2),X3)
| ( X0 = X1 )
| ( erect21a(X0,X1,X2) = erectAux21a(X0,X1,X2) )
| ~ s_t(erectAux21a(X0,X1,X2),erect21a(X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_217,c_78]) ).
tcf(c_20340,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| sameside(erect21a(X0,X1,X2),X2,erectAux21a(X0,X1,X2))
| ( X0 = X1 )
| ( erectAux21a(X0,X1,X2) = X2 )
| ( erect21a(X0,X1,X2) = X2 ) ),
inference(superposition,[status(thm)],[c_217,c_266]) ).
tcf(c_20341,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| sameside(erectAux21a(X0,X1,X2),X2,erect21a(X0,X1,X2))
| ( X2 = xb )
| ( X0 = X1 )
| ( erectAux21a(X0,X1,X2) = X2 ) ),
inference(superposition,[status(thm)],[c_217,c_265]) ).
tcf(c_20342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X0)
| s_t(X0,erectAux21a(X1,X2,X0),X3)
| ( X1 = X2 )
| ~ s_t(X0,erect21a(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_217,c_80]) ).
tcf(c_20343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X2)
| s_t(X2,X3,erect21a(X0,X1,X2))
| ( X0 = X1 )
| ~ s_t(erectAux21a(X0,X1,X2),X3,erect21a(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_217,c_79]) ).
tcf(c_20344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X0)
| s_t(erectAux21a(X1,X2,X0),erect21a(X1,X2,X0),X3)
| ( X1 = X2 )
| ~ s_t(X0,erect21a(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_217,c_77]) ).
tcf(c_20345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X2)
| s_t(X2,erectAux21a(X0,X1,X2),X3)
| ( X0 = X1 )
| ~ s_t(erectAux21a(X0,X1,X2),X3,erect21a(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_217,c_76]) ).
tcf(c_20346,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ( erectAux21a(X0,X1,X2) = X2 )
| ~ s_t(erectAux21a(X0,X1,X2),X2,erect21a(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_217,c_75]) ).
tcf(c_20347,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X1,X2,X0)
| ( X1 = X2 )
| ~ sameside(X0,erectAux21a(X1,X2,X0),erect21a(X1,X2,X0)) ),
inference(superposition,[status(thm)],[c_217,c_133]) ).
tcf(c_20348,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| s_col(erectAux21a(X0,X1,X2),erect21a(X0,X1,X2),X2)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_217,c_253]) ).
tcf(c_20349,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| s_col(erect21a(X0,X1,X2),X2,erectAux21a(X0,X1,X2))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_217,c_252]) ).
tcf(c_20350,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| s_col(X2,erectAux21a(X0,X1,X2),erect21a(X0,X1,X2))
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_217,c_251]) ).
tcf(c_20351,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| s_t(erect21a(X0,X1,X2),erectAux21a(X0,X1,X2),X2)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_217,c_73]) ).
tcf(c_20449,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_259,c_55]) ).
tcf(c_20450,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_259,c_109]) ).
tcf(c_20451,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_259,c_81]) ).
tcf(c_20452,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_259,c_78]) ).
tcf(c_20453,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_259,c_266]) ).
tcf(c_20454,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_259,c_265]) ).
tcf(c_20455,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_259,c_80]) ).
tcf(c_20456,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_259,c_79]) ).
tcf(c_20457,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_259,c_77]) ).
tcf(c_20458,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_259,c_76]) ).
tcf(c_20459,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_259,c_75]) ).
tcf(c_20460,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_259,c_133]) ).
tcf(c_20461,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_259,c_253]) ).
tcf(c_20462,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_259,c_252]) ).
tcf(c_20463,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_259,c_251]) ).
tcf(c_20464,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_259,c_73]) ).
tcf(c_20465,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,ext(ext(sK3,sK4,alpha,gamma),sK4,X0,X1),sK3)
| ~ le(X0,X1,sK4,sK3) ),
inference(superposition,[status(thm)],[c_259,c_10603]) ).
tcf(c_20466,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK4,ext(ext(sK3,sK4,alpha,gamma),sK4,X0,X1))
| ~ le(X0,X1,sK4,sK3) ),
inference(superposition,[status(thm)],[c_259,c_10442]) ).
tcf(c_20467,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,ext(ext(sK3,sK5,alpha,gamma),sK5,X0,X1),sK3)
| ~ le(X0,X1,sK5,sK3) ),
inference(superposition,[status(thm)],[c_259,c_10604]) ).
tcf(c_20468,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK5,ext(ext(sK3,sK5,alpha,gamma),sK5,X0,X1))
| ~ le(X0,X1,sK5,sK3) ),
inference(superposition,[status(thm)],[c_259,c_10443]) ).
tcf(c_20469,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,ext(ext(sK0,sK4,alpha,gamma),sK4,X0,X1),sK0)
| ~ le(X0,X1,sK4,sK0) ),
inference(superposition,[status(thm)],[c_259,c_10610]) ).
tcf(c_20470,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,sK4,ext(ext(sK0,sK4,alpha,gamma),sK4,X0,X1))
| ~ le(X0,X1,sK4,sK0) ),
inference(superposition,[status(thm)],[c_259,c_10449]) ).
tcf(c_20471,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,ext(ext(sK2,sK5,alpha,gamma),sK5,X0,X1),sK2)
| ~ le(X0,X1,sK5,sK2) ),
inference(superposition,[status(thm)],[c_259,c_10611]) ).
tcf(c_20472,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,sK5,ext(ext(sK2,sK5,alpha,gamma),sK5,X0,X1))
| ~ le(X0,X1,sK5,sK2) ),
inference(superposition,[status(thm)],[c_259,c_10450]) ).
tcf(c_20473,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK4,ext(ext(sK3,sK0,alpha,gamma),sK0,X0,X1))
| s_t(sK0,ext(ext(sK3,sK0,alpha,gamma),sK0,X0,X1),sK4)
| ~ le(X0,X1,sK0,sK3) ),
inference(superposition,[status(thm)],[c_259,c_18217]) ).
tcf(c_20474,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK5,ext(ext(sK3,sK2,alpha,gamma),sK2,X0,X1))
| s_t(sK2,ext(ext(sK3,sK2,alpha,gamma),sK2,X0,X1),sK5)
| ~ le(X0,X1,sK2,sK3) ),
inference(superposition,[status(thm)],[c_259,c_18218]) ).
tcf(c_20675,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_20676,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_20677,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_20678,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_20679,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_266]) ).
tcf(c_20680,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_265]) ).
tcf(c_20681,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_20682,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_20683,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_20684,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_20685,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_20686,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_20687,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_253]) ).
tcf(c_20688,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_252]) ).
tcf(c_20689,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_251]) ).
tcf(c_20690,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_20691,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,ip(X0,sK4,X1,sK3,X2),sK3)
| ~ s_t(sK3,X2,X1)
| ~ s_t(X0,sK4,X1) ),
inference(superposition,[status(thm)],[c_56,c_10603]) ).
tcf(c_20692,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK4,ip(X0,sK4,X1,sK3,X2))
| ~ s_t(sK3,X2,X1)
| ~ s_t(X0,sK4,X1) ),
inference(superposition,[status(thm)],[c_56,c_10442]) ).
tcf(c_20693,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,ip(X0,sK5,X1,sK3,X2),sK3)
| ~ s_t(sK3,X2,X1)
| ~ s_t(X0,sK5,X1) ),
inference(superposition,[status(thm)],[c_56,c_10604]) ).
tcf(c_20694,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,sK5,ip(X0,sK5,X1,sK3,X2))
| ~ s_t(sK3,X2,X1)
| ~ s_t(X0,sK5,X1) ),
inference(superposition,[status(thm)],[c_56,c_10443]) ).
tcf(c_20695,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK3,ip(X0,sK4,X1,sK0,X2),sK0)
| ~ s_t(sK0,X2,X1)
| ~ s_t(X0,sK4,X1) ),
inference(superposition,[status(thm)],[c_56,c_10610]) ).
tcf(c_20696,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK3,sK4,ip(X0,sK4,X1,sK0,X2))
| ~ s_t(sK0,X2,X1)
| ~ s_t(X0,sK4,X1) ),
inference(superposition,[status(thm)],[c_56,c_10449]) ).
tcf(c_20697,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK3,ip(X0,sK5,X1,sK2,X2),sK2)
| ~ s_t(sK2,X2,X1)
| ~ s_t(X0,sK5,X1) ),
inference(superposition,[status(thm)],[c_56,c_10611]) ).
tcf(c_20698,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK3,sK5,ip(X0,sK5,X1,sK2,X2))
| ~ s_t(sK2,X2,X1)
| ~ s_t(X0,sK5,X1) ),
inference(superposition,[status(thm)],[c_56,c_10450]) ).
tcf(c_20699,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK4,ip(X0,sK0,X1,sK3,X2))
| s_t(sK0,ip(X0,sK0,X1,sK3,X2),sK4)
| ~ s_t(sK3,X2,X1)
| ~ s_t(X0,sK0,X1) ),
inference(superposition,[status(thm)],[c_56,c_18217]) ).
tcf(c_20700,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,sK5,ip(X0,sK2,X1,sK3,X2))
| s_t(sK2,ip(X0,sK2,X1,sK3,X2),sK5)
| ~ s_t(sK3,X2,X1)
| ~ s_t(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_56,c_18218]) ).
tcf(c_20936,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_20937,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_20938,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_20939,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_20940,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_266]) ).
tcf(c_20941,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_265]) ).
tcf(c_20942,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_20943,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_20944,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_20945,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_20946,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_20947,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_20948,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_253]) ).
tcf(c_20949,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_252]) ).
tcf(c_20950,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_251]) ).
tcf(c_20951,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_20952,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,ip(sK3,X2,X1,X0,sK4),sK3)
| ~ s_t(sK3,X2,X1)
| ~ s_t(X0,sK4,X1) ),
inference(superposition,[status(thm)],[c_57,c_10603]) ).
tcf(c_20953,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK4,ip(sK3,X2,X1,X0,sK4))
| ~ s_t(sK3,X2,X1)
| ~ s_t(X0,sK4,X1) ),
inference(superposition,[status(thm)],[c_57,c_10442]) ).
tcf(c_20954,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,ip(sK3,X2,X1,X0,sK5),sK3)
| ~ s_t(sK3,X2,X1)
| ~ s_t(X0,sK5,X1) ),
inference(superposition,[status(thm)],[c_57,c_10604]) ).
tcf(c_20955,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,sK5,ip(sK3,X2,X1,X0,sK5))
| ~ s_t(sK3,X2,X1)
| ~ s_t(X0,sK5,X1) ),
inference(superposition,[status(thm)],[c_57,c_10443]) ).
tcf(c_20956,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK3,ip(sK0,X2,X1,X0,sK4),sK0)
| ~ s_t(sK0,X2,X1)
| ~ s_t(X0,sK4,X1) ),
inference(superposition,[status(thm)],[c_57,c_10610]) ).
tcf(c_20957,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK3,sK4,ip(sK0,X2,X1,X0,sK4))
| ~ s_t(sK0,X2,X1)
| ~ s_t(X0,sK4,X1) ),
inference(superposition,[status(thm)],[c_57,c_10449]) ).
tcf(c_20958,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK3,ip(sK2,X2,X1,X0,sK5),sK2)
| ~ s_t(sK2,X2,X1)
| ~ s_t(X0,sK5,X1) ),
inference(superposition,[status(thm)],[c_57,c_10611]) ).
tcf(c_20959,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK3,sK5,ip(sK2,X2,X1,X0,sK5))
| ~ s_t(sK2,X2,X1)
| ~ s_t(X0,sK5,X1) ),
inference(superposition,[status(thm)],[c_57,c_10450]) ).
tcf(c_20960,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK4,ip(sK3,X2,X1,X0,sK0))
| s_t(sK0,ip(sK3,X2,X1,X0,sK0),sK4)
| ~ s_t(sK3,X2,X1)
| ~ s_t(X0,sK0,X1) ),
inference(superposition,[status(thm)],[c_57,c_18217]) ).
tcf(c_20961,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,sK5,ip(sK3,X2,X1,X0,sK2))
| s_t(sK2,ip(sK3,X2,X1,X0,sK2),sK5)
| ~ s_t(sK3,X2,X1)
| ~ s_t(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_57,c_18218]) ).
tcf(c_21153,plain,
( ( s(sK3,sK0) = sK4 )
| ( s(sK3,sK0) = sK0 )
| ~ s_r(sK4,s(sK3,sK0),sK0) ),
inference(superposition,[status(thm)],[c_11373,c_187]) ).
tcf(c_21154,plain,
! [X0: $i] :
( s_r(sK0,sK4,X0)
| ( s(sK3,sK0) = sK4 )
| ~ s_r(s(sK3,sK0),sK4,X0) ),
inference(superposition,[status(thm)],[c_11373,c_181]) ).
tcf(c_21156,plain,
( sameside(sK4,s(sK3,sK0),sK0)
| s_t(sK4,s(sK3,sK0),sK0) ),
inference(superposition,[status(thm)],[c_11373,c_134]) ).
tcf(c_21157,plain,
s_col(sK4,sK0,s(sK3,sK0)),
inference(superposition,[status(thm)],[c_11373,c_98]) ).
tcf(c_21158,plain,
s_col(s(sK3,sK0),sK4,sK0),
inference(superposition,[status(thm)],[c_11373,c_97]) ).
tcf(c_21159,plain,
s_col(sK0,s(sK3,sK0),sK4),
inference(superposition,[status(thm)],[c_11373,c_96]) ).
tcf(c_21187,plain,
( ( sK0 = sK4 )
| ( s(sK3,sK0) = sK0 )
| ~ s_r(s(sK3,sK0),sK0,sK4) ),
inference(superposition,[status(thm)],[c_11374,c_187]) ).
tcf(c_21188,plain,
! [X0: $i] :
( s_r(sK4,s(sK3,sK0),X0)
| ( s(sK3,sK0) = sK0 )
| ~ s_r(sK0,s(sK3,sK0),X0) ),
inference(superposition,[status(thm)],[c_11374,c_181]) ).
tcf(c_21190,plain,
( sameside(s(sK3,sK0),sK0,sK4)
| s_t(s(sK3,sK0),sK0,sK4) ),
inference(superposition,[status(thm)],[c_11374,c_134]) ).
tcf(c_21205,plain,
( ( sK0 = sK4 )
| ( s(sK3,sK0) = sK4 )
| ~ s_r(sK0,sK4,s(sK3,sK0)) ),
inference(superposition,[status(thm)],[c_11375,c_187]) ).
tcf(c_21206,plain,
! [X0: $i] :
( s_r(s(sK3,sK0),sK0,X0)
| ( sK0 = sK4 )
| ~ s_r(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_11375,c_181]) ).
tcf(c_21221,plain,
! [X0: $i] :
( s_t(s(sK3,sK0),sK4,X0)
| s_t(s(sK3,sK0),X0,sK4)
| ~ s_t(s(sK3,sK0),X0,sK0) ),
inference(superposition,[status(thm)],[c_11376,c_109]) ).
tcf(c_21222,plain,
! [X0: $i] :
( s_t(s(sK3,sK0),sK4,X0)
| ( sK0 = sK4 )
| ~ s_t(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_11376,c_81]) ).
tcf(c_21223,plain,
! [X0: $i] :
( s_t(s(sK3,sK0),sK0,X0)
| ( sK0 = sK4 )
| ~ s_t(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_11376,c_78]) ).
tcf(c_21224,plain,
( sameside(sK0,s(sK3,sK0),sK4)
| ( s(sK3,sK0) = sK4 )
| ( s(sK3,sK0) = sK0 ) ),
inference(superposition,[status(thm)],[c_11376,c_266]) ).
tcf(c_21225,plain,
( sameside(sK4,s(sK3,sK0),sK0)
| ( s(sK3,sK0) = xb )
| ( s(sK3,sK0) = sK4 ) ),
inference(superposition,[status(thm)],[c_11376,c_265]) ).
tcf(c_21226,plain,
! [X0: $i] :
( s_t(s(sK3,sK0),sK4,X0)
| ~ s_t(s(sK3,sK0),sK0,X0) ),
inference(superposition,[status(thm)],[c_11376,c_80]) ).
tcf(c_21227,plain,
! [X0: $i] :
( s_t(s(sK3,sK0),X0,sK0)
| ~ s_t(sK4,X0,sK0) ),
inference(superposition,[status(thm)],[c_11376,c_79]) ).
tcf(c_21228,plain,
! [X0: $i] :
( s_t(sK4,sK0,X0)
| ~ s_t(s(sK3,sK0),sK0,X0) ),
inference(superposition,[status(thm)],[c_11376,c_77]) ).
tcf(c_21229,plain,
! [X0: $i] :
( s_t(s(sK3,sK0),sK4,X0)
| ~ s_t(sK4,X0,sK0) ),
inference(superposition,[status(thm)],[c_11376,c_76]) ).
tcf(c_21230,plain,
( ( s(sK3,sK0) = sK4 )
| ~ s_t(sK4,s(sK3,sK0),sK0) ),
inference(superposition,[status(thm)],[c_11376,c_75]) ).
tcf(c_21231,plain,
~ sameside(s(sK3,sK0),sK4,sK0),
inference(superposition,[status(thm)],[c_11376,c_133]) ).
tcf(c_21281,plain,
! [X0: $i] :
( s_t(sK0,sK4,X0)
| s_t(sK0,X0,sK4)
| ( sK3 = sK4 )
| ~ s_t(sK0,X0,s(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_19845,c_109]) ).
tcf(c_21282,plain,
! [X0: $i] :
( s_t(sK0,sK4,X0)
| ( sK3 = sK4 )
| ( s(sK3,sK4) = sK4 )
| ~ s_t(sK4,s(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_19845,c_81]) ).
tcf(c_21283,plain,
! [X0: $i] :
( s_t(sK0,s(sK3,sK4),X0)
| ( sK3 = sK4 )
| ( s(sK3,sK4) = sK4 )
| ~ s_t(sK4,s(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_19845,c_78]) ).
tcf(c_21284,plain,
( sameside(s(sK3,sK4),sK0,sK4)
| ( sK3 = sK4 )
| ( sK0 = sK4 )
| ( s(sK3,sK4) = sK0 ) ),
inference(superposition,[status(thm)],[c_19845,c_266]) ).
tcf(c_21285,plain,
( sameside(sK4,sK0,s(sK3,sK4))
| ( sK3 = sK4 )
| ( sK0 = xb )
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_19845,c_265]) ).
tcf(c_21286,plain,
! [X0: $i] :
( s_t(sK0,sK4,X0)
| ( sK3 = sK4 )
| ~ s_t(sK0,s(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_19845,c_80]) ).
tcf(c_21287,plain,
! [X0: $i] :
( s_t(sK0,X0,s(sK3,sK4))
| ( sK3 = sK4 )
| ~ s_t(sK4,X0,s(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_19845,c_79]) ).
tcf(c_21288,plain,
! [X0: $i] :
( s_t(sK4,s(sK3,sK4),X0)
| ( sK3 = sK4 )
| ~ s_t(sK0,s(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_19845,c_77]) ).
tcf(c_21289,plain,
! [X0: $i] :
( s_t(sK0,sK4,X0)
| ( sK3 = sK4 )
| ~ s_t(sK4,X0,s(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_19845,c_76]) ).
tcf(c_21290,plain,
( ( sK3 = sK4 )
| ( sK0 = sK4 )
| ~ s_t(sK4,sK0,s(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_19845,c_75]) ).
tcf(c_21291,plain,
( ( sK3 = sK4 )
| ~ sameside(sK0,sK4,s(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_19845,c_133]) ).
tcf(c_21292,plain,
( s_col(sK4,s(sK3,sK4),sK0)
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_19845,c_253]) ).
tcf(c_21293,plain,
( s_col(s(sK3,sK4),sK0,sK4)
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_19845,c_252]) ).
tcf(c_21294,plain,
( s_col(sK0,sK4,s(sK3,sK4))
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_19845,c_251]) ).
tcf(c_21295,plain,
( s_t(s(sK3,sK4),sK4,sK0)
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_19845,c_73]) ).
tcf(c_21467,plain,
! [X0: $i] :
( s_t(sK2,sK5,X0)
| s_t(sK2,X0,sK5)
| ( sK3 = sK5 )
| ~ s_t(sK2,X0,s(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_19931,c_109]) ).
tcf(c_21468,plain,
! [X0: $i] :
( s_t(sK2,sK5,X0)
| ( sK3 = sK5 )
| ( s(sK3,sK5) = sK5 )
| ~ s_t(sK5,s(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_19931,c_81]) ).
tcf(c_21469,plain,
! [X0: $i] :
( s_t(sK2,s(sK3,sK5),X0)
| ( sK3 = sK5 )
| ( s(sK3,sK5) = sK5 )
| ~ s_t(sK5,s(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_19931,c_78]) ).
tcf(c_21470,plain,
( sameside(s(sK3,sK5),sK2,sK5)
| ( sK3 = sK5 )
| ( sK2 = sK5 )
| ( s(sK3,sK5) = sK2 ) ),
inference(superposition,[status(thm)],[c_19931,c_266]) ).
tcf(c_21471,plain,
( sameside(sK5,sK2,s(sK3,sK5))
| ( sK3 = sK5 )
| ( sK2 = xb )
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_19931,c_265]) ).
tcf(c_21472,plain,
! [X0: $i] :
( s_t(sK2,sK5,X0)
| ( sK3 = sK5 )
| ~ s_t(sK2,s(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_19931,c_80]) ).
tcf(c_21473,plain,
! [X0: $i] :
( s_t(sK2,X0,s(sK3,sK5))
| ( sK3 = sK5 )
| ~ s_t(sK5,X0,s(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_19931,c_79]) ).
tcf(c_21474,plain,
! [X0: $i] :
( s_t(sK5,s(sK3,sK5),X0)
| ( sK3 = sK5 )
| ~ s_t(sK2,s(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_19931,c_77]) ).
tcf(c_21475,plain,
! [X0: $i] :
( s_t(sK2,sK5,X0)
| ( sK3 = sK5 )
| ~ s_t(sK5,X0,s(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_19931,c_76]) ).
tcf(c_21476,plain,
( ( sK3 = sK5 )
| ( sK2 = sK5 )
| ~ s_t(sK5,sK2,s(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_19931,c_75]) ).
tcf(c_21477,plain,
( ( sK3 = sK5 )
| ~ sameside(sK2,sK5,s(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_19931,c_133]) ).
tcf(c_21478,plain,
( s_col(sK5,s(sK3,sK5),sK2)
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_19931,c_253]) ).
tcf(c_21479,plain,
( s_col(s(sK3,sK5),sK2,sK5)
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_19931,c_252]) ).
tcf(c_21480,plain,
( s_col(sK2,sK5,s(sK3,sK5))
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_19931,c_251]) ).
tcf(c_21481,plain,
( s_t(s(sK3,sK5),sK5,sK2)
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_19931,c_73]) ).
tcf(c_21540,plain,
! [X0: $i] :
( s_t(sK2,sK4,sK1)
| s_t(sK1,sK2,sK4)
| s_t(sK4,sK1,X0)
| s_t(sK4,X0,sK1)
| ~ s_t(sK4,X0,sK2) ),
inference(superposition,[status(thm)],[c_16412,c_109]) ).
tcf(c_21541,plain,
! [X0: $i] :
( s_t(sK2,sK4,sK1)
| s_t(sK1,sK2,sK4)
| s_t(sK4,sK1,X0)
| ( sK1 = sK2 )
| ~ s_t(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_16412,c_81]) ).
tcf(c_21542,plain,
! [X0: $i] :
( s_t(sK2,sK4,sK1)
| s_t(sK1,sK2,sK4)
| s_t(sK4,sK2,X0)
| ( sK1 = sK2 )
| ~ s_t(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_16412,c_78]) ).
tcf(c_21545,plain,
! [X0: $i] :
( s_t(sK2,sK4,sK1)
| s_t(sK1,sK2,sK4)
| s_t(sK4,sK1,X0)
| ~ s_t(sK4,sK2,X0) ),
inference(superposition,[status(thm)],[c_16412,c_80]) ).
tcf(c_21546,plain,
! [X0: $i] :
( s_t(sK2,sK4,sK1)
| s_t(sK1,sK2,sK4)
| s_t(sK4,X0,sK2)
| ~ s_t(sK1,X0,sK2) ),
inference(superposition,[status(thm)],[c_16412,c_79]) ).
tcf(c_21547,plain,
! [X0: $i] :
( s_t(sK2,sK4,sK1)
| s_t(sK1,sK2,sK4)
| s_t(sK1,sK2,X0)
| ~ s_t(sK4,sK2,X0) ),
inference(superposition,[status(thm)],[c_16412,c_77]) ).
tcf(c_21548,plain,
! [X0: $i] :
( s_t(sK2,sK4,sK1)
| s_t(sK1,sK2,sK4)
| s_t(sK4,sK1,X0)
| ~ s_t(sK1,X0,sK2) ),
inference(superposition,[status(thm)],[c_16412,c_76]) ).
tcf(c_21549,plain,
( s_t(sK2,sK4,sK1)
| s_t(sK1,sK2,sK4)
| ( sK1 = sK4 )
| ~ s_t(sK1,sK4,sK2) ),
inference(superposition,[status(thm)],[c_16412,c_75]) ).
tcf(c_21550,plain,
( s_t(sK2,sK4,sK1)
| s_t(sK1,sK2,sK4)
| ~ sameside(sK4,sK1,sK2) ),
inference(superposition,[status(thm)],[c_16412,c_133]) ).
tcf(c_21606,plain,
! [X0: $i] :
( s_t(sK2,sK1,sK4)
| s_t(sK1,sK4,sK2)
| s_t(sK4,sK2,X0)
| s_t(sK4,X0,sK2)
| ~ s_t(sK4,X0,sK1) ),
inference(superposition,[status(thm)],[c_16414,c_109]) ).
tcf(c_21607,plain,
! [X0: $i] :
( s_t(sK2,sK1,sK4)
| s_t(sK1,sK4,sK2)
| s_t(sK4,sK2,X0)
| ( sK1 = sK2 )
| ~ s_t(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_16414,c_81]) ).
tcf(c_21608,plain,
! [X0: $i] :
( s_t(sK2,sK1,sK4)
| s_t(sK1,sK4,sK2)
| s_t(sK4,sK1,X0)
| ( sK1 = sK2 )
| ~ s_t(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_16414,c_78]) ).
tcf(c_21609,plain,
( sameside(sK1,sK4,sK2)
| s_t(sK2,sK1,sK4)
| s_t(sK1,sK4,sK2)
| ( sK2 = sK4 )
| ( sK1 = sK4 ) ),
inference(superposition,[status(thm)],[c_16414,c_266]) ).
tcf(c_21610,plain,
( sameside(sK2,sK4,sK1)
| s_t(sK2,sK1,sK4)
| s_t(sK1,sK4,sK2)
| ( sK4 = xb )
| ( sK2 = sK4 ) ),
inference(superposition,[status(thm)],[c_16414,c_265]) ).
tcf(c_21611,plain,
! [X0: $i] :
( s_t(sK2,sK1,sK4)
| s_t(sK1,sK4,sK2)
| s_t(sK4,sK2,X0)
| ~ s_t(sK4,sK1,X0) ),
inference(superposition,[status(thm)],[c_16414,c_80]) ).
tcf(c_21612,plain,
! [X0: $i] :
( s_t(sK2,sK1,sK4)
| s_t(sK1,sK4,sK2)
| s_t(sK4,X0,sK1)
| ~ s_t(sK2,X0,sK1) ),
inference(superposition,[status(thm)],[c_16414,c_79]) ).
tcf(c_21613,plain,
! [X0: $i] :
( s_t(sK2,sK1,sK4)
| s_t(sK1,sK4,sK2)
| s_t(sK2,sK1,X0)
| ~ s_t(sK4,sK1,X0) ),
inference(superposition,[status(thm)],[c_16414,c_77]) ).
tcf(c_21614,plain,
! [X0: $i] :
( s_t(sK2,sK1,sK4)
| s_t(sK1,sK4,sK2)
| s_t(sK4,sK2,X0)
| ~ s_t(sK2,X0,sK1) ),
inference(superposition,[status(thm)],[c_16414,c_76]) ).
tcf(c_21615,plain,
( s_t(sK2,sK1,sK4)
| s_t(sK1,sK4,sK2)
| ( sK2 = sK4 )
| ~ s_t(sK2,sK4,sK1) ),
inference(superposition,[status(thm)],[c_16414,c_75]) ).
tcf(c_21616,plain,
( s_t(sK2,sK1,sK4)
| s_t(sK1,sK4,sK2)
| ~ sameside(sK4,sK2,sK1) ),
inference(superposition,[status(thm)],[c_16414,c_133]) ).
tcf(c_21676,plain,
( sameside(sK4,sK3,sK0)
| ( sK3 = sK4 ) ),
inference(global_subsumption_just,[status(thm)],[c_16535,c_9698,c_10268]) ).
tcf(c_21682,plain,
! [X0: $i] :
( sameside(sK4,sK3,X0)
| ( sK3 = sK4 )
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_21676,c_137]) ).
tcf(c_21684,plain,
( sameside(sK0,sK3,sK4)
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_21676,c_136]) ).
tcf(c_21692,plain,
( sameside(sK5,sK3,sK2)
| ( sK3 = sK5 ) ),
inference(global_subsumption_just,[status(thm)],[c_16536,c_9700,c_10269]) ).
tcf(c_21698,plain,
! [X0: $i] :
( sameside(sK5,sK3,X0)
| ( sK3 = sK5 )
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_21692,c_137]) ).
tcf(c_21700,plain,
( sameside(sK2,sK3,sK5)
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_21692,c_136]) ).
tcf(c_21726,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_8805,c_63]) ).
tcf(c_21728,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_8805,c_261]) ).
tcf(c_21729,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_8805,c_113]) ).
tcf(c_21735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(midpoint(X2,X3),s(X0,X1),midpoint(X1,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_8805,c_2699]) ).
tcf(c_21753,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_21754,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_21755,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,s(midpoint(X0,X4),X1),s(midpoint(X0,X4),X2),s(midpoint(X0,X4),X3))
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_1833,c_169]) ).
tcf(c_21756,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,s(iPr_def_10,X0),s(iPr_def_10,X1),s(iPr_def_10,X2))
| ~ s_e(sK0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8223,c_169]) ).
tcf(c_21757,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK1,s(iPr_def_11,X0),s(iPr_def_11,X1),s(iPr_def_11,X2))
| ~ s_e(sK2,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8224,c_169]) ).
tcf(c_21758,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK0,s(iPr_def_10,X0),s(iPr_def_10,X1),s(iPr_def_10,X2))
| ~ s_e(sK5,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8235,c_169]) ).
tcf(c_21759,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,s(iPr_def_11,X0),s(iPr_def_11,X1),s(iPr_def_11,X2))
| ~ s_e(sK1,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8241,c_169]) ).
tcf(c_21760,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_21761,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_21762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(midpoint(X1,X4),X0),X4,s(midpoint(X1,X4),X2),s(midpoint(X1,X4),X3))
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_1833,c_169]) ).
tcf(c_21763,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_10,X0),sK5,s(iPr_def_10,X1),s(iPr_def_10,X2))
| ~ s_e(X0,sK0,X1,X2) ),
inference(superposition,[status(thm)],[c_8223,c_169]) ).
tcf(c_21764,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_11,X0),sK1,s(iPr_def_11,X1),s(iPr_def_11,X2))
| ~ s_e(X0,sK2,X1,X2) ),
inference(superposition,[status(thm)],[c_8224,c_169]) ).
tcf(c_21765,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_10,X0),sK0,s(iPr_def_10,X1),s(iPr_def_10,X2))
| ~ s_e(X0,sK5,X1,X2) ),
inference(superposition,[status(thm)],[c_8235,c_169]) ).
tcf(c_21766,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_11,X0),sK2,s(iPr_def_11,X1),s(iPr_def_11,X2))
| ~ s_e(X0,sK1,X1,X2) ),
inference(superposition,[status(thm)],[c_8241,c_169]) ).
tcf(c_21767,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_21768,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_21769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(midpoint(X2,X4),X0),s(midpoint(X2,X4),X1),X4,s(midpoint(X2,X4),X3))
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_1833,c_169]) ).
tcf(c_21770,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_10,X0),s(iPr_def_10,X1),sK5,s(iPr_def_10,X2))
| ~ s_e(X0,X1,sK0,X2) ),
inference(superposition,[status(thm)],[c_8223,c_169]) ).
tcf(c_21771,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_11,X0),s(iPr_def_11,X1),sK1,s(iPr_def_11,X2))
| ~ s_e(X0,X1,sK2,X2) ),
inference(superposition,[status(thm)],[c_8224,c_169]) ).
tcf(c_21772,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_10,X0),s(iPr_def_10,X1),sK0,s(iPr_def_10,X2))
| ~ s_e(X0,X1,sK5,X2) ),
inference(superposition,[status(thm)],[c_8235,c_169]) ).
tcf(c_21773,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_11,X0),s(iPr_def_11,X1),sK2,s(iPr_def_11,X2))
| ~ s_e(X0,X1,sK1,X2) ),
inference(superposition,[status(thm)],[c_8241,c_169]) ).
tcf(c_21774,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_21775,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_21776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(midpoint(X3,X4),X0),s(midpoint(X3,X4),X1),s(midpoint(X3,X4),X2),X4)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_1833,c_169]) ).
tcf(c_21777,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_10,X0),s(iPr_def_10,X1),s(iPr_def_10,X2),sK5)
| ~ s_e(X0,X1,X2,sK0) ),
inference(superposition,[status(thm)],[c_8223,c_169]) ).
tcf(c_21778,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_11,X0),s(iPr_def_11,X1),s(iPr_def_11,X2),sK1)
| ~ s_e(X0,X1,X2,sK2) ),
inference(superposition,[status(thm)],[c_8224,c_169]) ).
tcf(c_21779,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_10,X0),s(iPr_def_10,X1),s(iPr_def_10,X2),sK0)
| ~ s_e(X0,X1,X2,sK5) ),
inference(superposition,[status(thm)],[c_8235,c_169]) ).
tcf(c_21780,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_11,X0),s(iPr_def_11,X1),s(iPr_def_11,X2),sK2)
| ~ s_e(X0,X1,X2,sK1) ),
inference(superposition,[status(thm)],[c_8241,c_169]) ).
tcf(c_21781,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_21782,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_21783,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_261]) ).
tcf(c_21784,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_21785,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_21786,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_21787,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_21788,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_21789,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_21790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_t(midpoint(X2,X3),s(X0,X1),midpoint(s(X0,X4),s(X0,X5)))
| ~ s_e(X1,X4,X1,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_2699]) ).
tcf(c_21791,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_21792,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_278]) ).
tcf(c_22079,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_277,c_170]) ).
tcf(c_22086,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_22087,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_22088,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X2,X3,X4)
| ~ s_e(X0,s(midpoint(X1,X0),X2),s(midpoint(X1,X0),X3),s(midpoint(X1,X0),X4)) ),
inference(superposition,[status(thm)],[c_1833,c_170]) ).
tcf(c_22089,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK0,X0,X1,X2)
| ~ s_e(sK5,s(iPr_def_10,X0),s(iPr_def_10,X1),s(iPr_def_10,X2)) ),
inference(superposition,[status(thm)],[c_8223,c_170]) ).
tcf(c_22090,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X0,X1,X2)
| ~ s_e(sK1,s(iPr_def_11,X0),s(iPr_def_11,X1),s(iPr_def_11,X2)) ),
inference(superposition,[status(thm)],[c_8224,c_170]) ).
tcf(c_22091,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,X0,X1,X2)
| ~ s_e(sK0,s(iPr_def_10,X0),s(iPr_def_10,X1),s(iPr_def_10,X2)) ),
inference(superposition,[status(thm)],[c_8235,c_170]) ).
tcf(c_22092,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK1,X0,X1,X2)
| ~ s_e(sK2,s(iPr_def_11,X0),s(iPr_def_11,X1),s(iPr_def_11,X2)) ),
inference(superposition,[status(thm)],[c_8241,c_170]) ).
tcf(c_22093,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_22094,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_22095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X0,X3,X4)
| ~ s_e(s(midpoint(X0,X1),X2),X1,s(midpoint(X0,X1),X3),s(midpoint(X0,X1),X4)) ),
inference(superposition,[status(thm)],[c_1833,c_170]) ).
tcf(c_22096,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,sK0,X1,X2)
| ~ s_e(s(iPr_def_10,X0),sK5,s(iPr_def_10,X1),s(iPr_def_10,X2)) ),
inference(superposition,[status(thm)],[c_8223,c_170]) ).
tcf(c_22097,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,sK2,X1,X2)
| ~ s_e(s(iPr_def_11,X0),sK1,s(iPr_def_11,X1),s(iPr_def_11,X2)) ),
inference(superposition,[status(thm)],[c_8224,c_170]) ).
tcf(c_22098,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,sK5,X1,X2)
| ~ s_e(s(iPr_def_10,X0),sK0,s(iPr_def_10,X1),s(iPr_def_10,X2)) ),
inference(superposition,[status(thm)],[c_8235,c_170]) ).
tcf(c_22099,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,sK1,X1,X2)
| ~ s_e(s(iPr_def_11,X0),sK2,s(iPr_def_11,X1),s(iPr_def_11,X2)) ),
inference(superposition,[status(thm)],[c_8241,c_170]) ).
tcf(c_22100,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_22101,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_22102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X3,X0,X4)
| ~ s_e(s(midpoint(X0,X1),X2),s(midpoint(X0,X1),X3),X1,s(midpoint(X0,X1),X4)) ),
inference(superposition,[status(thm)],[c_1833,c_170]) ).
tcf(c_22103,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,sK0,X2)
| ~ s_e(s(iPr_def_10,X0),s(iPr_def_10,X1),sK5,s(iPr_def_10,X2)) ),
inference(superposition,[status(thm)],[c_8223,c_170]) ).
tcf(c_22104,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,sK2,X2)
| ~ s_e(s(iPr_def_11,X0),s(iPr_def_11,X1),sK1,s(iPr_def_11,X2)) ),
inference(superposition,[status(thm)],[c_8224,c_170]) ).
tcf(c_22105,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,sK5,X2)
| ~ s_e(s(iPr_def_10,X0),s(iPr_def_10,X1),sK0,s(iPr_def_10,X2)) ),
inference(superposition,[status(thm)],[c_8235,c_170]) ).
tcf(c_22106,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,sK1,X2)
| ~ s_e(s(iPr_def_11,X0),s(iPr_def_11,X1),sK2,s(iPr_def_11,X2)) ),
inference(superposition,[status(thm)],[c_8241,c_170]) ).
tcf(c_22107,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_22108,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_22109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X3,X4,X0)
| ~ s_e(s(midpoint(X0,X1),X2),s(midpoint(X0,X1),X3),s(midpoint(X0,X1),X4),X1) ),
inference(superposition,[status(thm)],[c_1833,c_170]) ).
tcf(c_22110,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,X2,sK0)
| ~ s_e(s(iPr_def_10,X0),s(iPr_def_10,X1),s(iPr_def_10,X2),sK5) ),
inference(superposition,[status(thm)],[c_8223,c_170]) ).
tcf(c_22111,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,X2,sK2)
| ~ s_e(s(iPr_def_11,X0),s(iPr_def_11,X1),s(iPr_def_11,X2),sK1) ),
inference(superposition,[status(thm)],[c_8224,c_170]) ).
tcf(c_22112,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,X2,sK5)
| ~ s_e(s(iPr_def_10,X0),s(iPr_def_10,X1),s(iPr_def_10,X2),sK0) ),
inference(superposition,[status(thm)],[c_8235,c_170]) ).
tcf(c_22113,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X1,X2,sK1)
| ~ s_e(s(iPr_def_11,X0),s(iPr_def_11,X1),s(iPr_def_11,X2),sK2) ),
inference(superposition,[status(thm)],[c_8241,c_170]) ).
tcf(c_22370,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_52,c_184]) ).
tcf(c_22371,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_22372,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_22373,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_22374,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_22375,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_22376,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_22377,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_22378,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_22379,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ( erectAux21a(X0,X1,X2) = X3 )
| ~ s_r(X2,X3,erectAux21a(X0,X1,X2))
| ~ s_r(erect21a(X0,X1,X2),X3,erectAux21a(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_217,c_184]) ).
tcf(c_22380,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( erectAux(X0,X1,X2) = X3 )
| ~ s_r(X2,X3,erectAux(X0,X1,X2))
| ~ s_r(erect(X0,X1,X2),X3,erectAux(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_220,c_184]) ).
tcf(c_22383,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_259,c_184]) ).
tcf(c_22384,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midpoint(X0,X2) = X1 )
| ~ s_r(X2,X1,midpoint(X0,X2))
| ~ s_r(X0,X1,midpoint(X0,X2)) ),
inference(superposition,[status(thm)],[c_1750,c_184]) ).
tcf(c_22387,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_8175,c_184]) ).
tcf(c_22389,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ~ s_r(sK3,X0,sK4)
| ~ s_r(sK0,X0,sK4) ),
inference(superposition,[status(thm)],[c_8200,c_184]) ).
tcf(c_22390,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ~ s_r(sK3,X0,sK5)
| ~ s_r(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_8201,c_184]) ).
tcf(c_22391,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midpoint(X2,X0) = X1 )
| ~ s_r(X2,X1,midpoint(X2,X0))
| ~ s_r(X0,X1,midpoint(X2,X0)) ),
inference(superposition,[status(thm)],[c_8202,c_184]) ).
tcf(c_22392,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ~ s_r(sK5,X0,iPr_def_10)
| ~ s_r(sK0,X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8203,c_184]) ).
tcf(c_22393,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ~ s_r(sK2,X0,iPr_def_11)
| ~ s_r(sK1,X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8204,c_184]) ).
tcf(c_22394,plain,
! [X0: $i] :
( s_t(sK2,sK4,sK1)
| s_t(sK1,sK2,sK4)
| ( X0 = sK1 )
| ~ s_r(sK4,X0,sK1)
| ~ s_r(sK2,X0,sK1) ),
inference(superposition,[status(thm)],[c_16412,c_184]) ).
tcf(c_22395,plain,
! [X0: $i] :
( s_t(sK2,sK1,sK4)
| s_t(sK1,sK4,sK2)
| ( X0 = sK2 )
| ~ s_r(sK4,X0,sK2)
| ~ s_r(sK1,X0,sK2) ),
inference(superposition,[status(thm)],[c_16414,c_184]) ).
tcf(c_22398,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sK3 )
| ~ s_r(sK4,X2,sK3)
| ~ s_r(ext(sK0,sK3,X0,X1),X2,sK3) ),
inference(superposition,[status(thm)],[c_10812,c_184]) ).
tcf(c_22399,plain,
! [X0: $i,X1: $i] :
( ( X1 = sK3 )
| ~ s_r(sK4,X1,sK3)
| ~ sameside(sK0,sK3,X0)
| ~ s_r(c63(sK0,sK3,X0),X1,sK3) ),
inference(superposition,[status(thm)],[c_10814,c_184]) ).
tcf(c_22400,plain,
! [X0: $i,X1: $i] :
( ( X1 = sK3 )
| ~ s_r(sK4,X1,sK3)
| ~ sameside(X0,sK3,sK0)
| ~ s_r(c63(X0,sK3,sK0),X1,sK3) ),
inference(superposition,[status(thm)],[c_10815,c_184]) ).
tcf(c_22402,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sK3 )
| ~ s_r(sK5,X2,sK3)
| ~ s_r(ext(sK2,sK3,X0,X1),X2,sK3) ),
inference(superposition,[status(thm)],[c_10836,c_184]) ).
tcf(c_22403,plain,
! [X0: $i,X1: $i] :
( ( X1 = sK3 )
| ~ s_r(sK5,X1,sK3)
| ~ sameside(sK2,sK3,X0)
| ~ s_r(c63(sK2,sK3,X0),X1,sK3) ),
inference(superposition,[status(thm)],[c_10838,c_184]) ).
tcf(c_22404,plain,
! [X0: $i,X1: $i] :
( ( X1 = sK3 )
| ~ s_r(sK5,X1,sK3)
| ~ sameside(X0,sK3,sK2)
| ~ s_r(c63(X0,sK3,sK2),X1,sK3) ),
inference(superposition,[status(thm)],[c_10839,c_184]) ).
tcf(c_22408,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sK4 )
| ~ s_r(sK0,X2,sK4)
| ~ s_r(ext(sK0,sK3,X0,X1),X2,sK4) ),
inference(superposition,[status(thm)],[c_10872,c_184]) ).
tcf(c_22409,plain,
! [X0: $i,X1: $i] :
( ( X1 = sK4 )
| ~ s_r(sK0,X1,sK4)
| ~ sameside(sK0,sK3,X0)
| ~ s_r(c63(sK0,sK3,X0),X1,sK4) ),
inference(superposition,[status(thm)],[c_10874,c_184]) ).
tcf(c_22410,plain,
! [X0: $i,X1: $i] :
( ( X1 = sK4 )
| ~ s_r(sK0,X1,sK4)
| ~ sameside(X0,sK3,sK0)
| ~ s_r(c63(X0,sK3,sK0),X1,sK4) ),
inference(superposition,[status(thm)],[c_10875,c_184]) ).
tcf(c_22412,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sK5 )
| ~ s_r(sK2,X2,sK5)
| ~ s_r(ext(sK2,sK3,X0,X1),X2,sK5) ),
inference(superposition,[status(thm)],[c_10893,c_184]) ).
tcf(c_22413,plain,
! [X0: $i,X1: $i] :
( ( X1 = sK5 )
| ~ s_r(sK2,X1,sK5)
| ~ sameside(sK2,sK3,X0)
| ~ s_r(c63(sK2,sK3,X0),X1,sK5) ),
inference(superposition,[status(thm)],[c_10895,c_184]) ).
tcf(c_22414,plain,
! [X0: $i,X1: $i] :
( ( X1 = sK5 )
| ~ s_r(sK2,X1,sK5)
| ~ sameside(X0,sK3,sK2)
| ~ s_r(c63(X0,sK3,sK2),X1,sK5) ),
inference(superposition,[status(thm)],[c_10896,c_184]) ).
tcf(c_22415,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ~ s_r(sK2,X0,sK5)
| ~ s_r(s(sK3,sK2),X0,sK5) ),
inference(superposition,[status(thm)],[c_10897,c_184]) ).
tcf(c_22416,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sK4 )
| ~ s_r(sK0,X2,sK4)
| ~ le(sK0,sK3,X0,X1)
| ~ s_r(ins(X0,X1,sK0,sK3),X2,sK4) ),
inference(superposition,[status(thm)],[c_10944,c_184]) ).
tcf(c_22417,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sK3 )
| ~ s_r(sK4,X2,sK3)
| ~ le(sK0,sK3,X0,X1)
| ~ s_r(ins(X0,X1,sK0,sK3),X2,sK3) ),
inference(superposition,[status(thm)],[c_10945,c_184]) ).
tcf(c_22418,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ~ s_r(sK0,X0,sK4)
| ~ s_r(midpoint(sK3,sK4),X0,sK4) ),
inference(superposition,[status(thm)],[c_11193,c_184]) ).
tcf(c_22419,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ~ s_r(sK2,X0,sK5)
| ~ s_r(midpoint(sK3,sK5),X0,sK5) ),
inference(superposition,[status(thm)],[c_11222,c_184]) ).
tcf(c_22420,plain,
! [X0: $i] :
( ( X0 = sK3 )
| ~ s_r(sK4,X0,sK3)
| ~ s_r(s(sK3,sK0),X0,sK3) ),
inference(superposition,[status(thm)],[c_11254,c_184]) ).
tcf(c_22421,plain,
! [X0: $i] :
( ( X0 = sK3 )
| ~ s_r(sK5,X0,sK3)
| ~ s_r(s(sK3,sK2),X0,sK3) ),
inference(superposition,[status(thm)],[c_11286,c_184]) ).
tcf(c_22422,plain,
! [X0: $i] :
( ( midpoint(sK3,sK4) = X0 )
| ~ s_r(sK3,X0,midpoint(sK3,sK4))
| ~ s_r(sK0,X0,midpoint(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_11315,c_184]) ).
tcf(c_22423,plain,
! [X0: $i] :
( ( midpoint(sK3,sK5) = X0 )
| ~ s_r(sK3,X0,midpoint(sK3,sK5))
| ~ s_r(sK2,X0,midpoint(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_11348,c_184]) ).
tcf(c_22424,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ~ s_r(sK0,X0,sK4)
| ~ s_r(s(sK3,sK0),X0,sK4) ),
inference(superposition,[status(thm)],[c_11376,c_184]) ).
tcf(c_22425,plain,
! [X0: $i] :
( ( sK3 = sK4 )
| ( X0 = sK3 )
| ~ s_r(sK0,X0,sK3)
| ~ s_r(s(sK3,sK4),X0,sK3) ),
inference(superposition,[status(thm)],[c_17759,c_184]) ).
tcf(c_22426,plain,
! [X0: $i] :
( ( sK3 = sK5 )
| ( X0 = sK3 )
| ~ s_r(sK2,X0,sK3)
| ~ s_r(s(sK3,sK5),X0,sK3) ),
inference(superposition,[status(thm)],[c_17805,c_184]) ).
tcf(c_22427,plain,
! [X0: $i] :
( ( sK3 = sK4 )
| ( X0 = sK4 )
| ~ s_r(sK0,X0,sK4)
| ~ s_r(s(sK3,sK4),X0,sK4) ),
inference(superposition,[status(thm)],[c_19845,c_184]) ).
tcf(c_22428,plain,
! [X0: $i] :
( ( sK3 = sK5 )
| ( X0 = sK5 )
| ~ s_r(sK2,X0,sK5)
| ~ s_r(s(sK3,sK5),X0,sK5) ),
inference(superposition,[status(thm)],[c_19931,c_184]) ).
tcf(c_22632,plain,
( ( s(sK3,sK2) = sK5 )
| ( s(sK3,sK2) = sK2 )
| ~ s_r(sK5,s(sK3,sK2),sK2) ),
inference(superposition,[status(thm)],[c_11405,c_187]) ).
tcf(c_22633,plain,
! [X0: $i] :
( s_r(sK2,sK5,X0)
| ( s(sK3,sK2) = sK5 )
| ~ s_r(s(sK3,sK2),sK5,X0) ),
inference(superposition,[status(thm)],[c_11405,c_181]) ).
tcf(c_22635,plain,
( sameside(sK5,s(sK3,sK2),sK2)
| s_t(sK5,s(sK3,sK2),sK2) ),
inference(superposition,[status(thm)],[c_11405,c_134]) ).
tcf(c_22636,plain,
s_col(sK5,sK2,s(sK3,sK2)),
inference(superposition,[status(thm)],[c_11405,c_98]) ).
tcf(c_22637,plain,
s_col(s(sK3,sK2),sK5,sK2),
inference(superposition,[status(thm)],[c_11405,c_97]) ).
tcf(c_22638,plain,
s_col(sK2,s(sK3,sK2),sK5),
inference(superposition,[status(thm)],[c_11405,c_96]) ).
tcf(c_22650,plain,
( ( sK2 = sK5 )
| ( s(sK3,sK2) = sK2 )
| ~ s_r(s(sK3,sK2),sK2,sK5) ),
inference(superposition,[status(thm)],[c_11406,c_187]) ).
tcf(c_22651,plain,
! [X0: $i] :
( s_r(sK5,s(sK3,sK2),X0)
| ( s(sK3,sK2) = sK2 )
| ~ s_r(sK2,s(sK3,sK2),X0) ),
inference(superposition,[status(thm)],[c_11406,c_181]) ).
tcf(c_22653,plain,
( sameside(s(sK3,sK2),sK2,sK5)
| s_t(s(sK3,sK2),sK2,sK5) ),
inference(superposition,[status(thm)],[c_11406,c_134]) ).
tcf(c_22668,plain,
( ( sK2 = sK5 )
| ( s(sK3,sK2) = sK5 )
| ~ s_r(sK2,sK5,s(sK3,sK2)) ),
inference(superposition,[status(thm)],[c_11407,c_187]) ).
tcf(c_22669,plain,
! [X0: $i] :
( s_r(s(sK3,sK2),sK2,X0)
| ( sK2 = sK5 )
| ~ s_r(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_11407,c_181]) ).
tcf(c_22742,plain,
! [X0: $i] :
( s_t(s(sK3,sK2),sK5,X0)
| s_t(s(sK3,sK2),X0,sK5)
| ~ s_t(s(sK3,sK2),X0,sK2) ),
inference(superposition,[status(thm)],[c_11408,c_109]) ).
tcf(c_22743,plain,
! [X0: $i] :
( s_t(s(sK3,sK2),sK5,X0)
| ( sK2 = sK5 )
| ~ s_t(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_11408,c_81]) ).
tcf(c_22744,plain,
! [X0: $i] :
( s_t(s(sK3,sK2),sK2,X0)
| ( sK2 = sK5 )
| ~ s_t(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_11408,c_78]) ).
tcf(c_22745,plain,
( sameside(sK2,s(sK3,sK2),sK5)
| ( s(sK3,sK2) = sK5 )
| ( s(sK3,sK2) = sK2 ) ),
inference(superposition,[status(thm)],[c_11408,c_266]) ).
tcf(c_22746,plain,
( sameside(sK5,s(sK3,sK2),sK2)
| ( s(sK3,sK2) = xb )
| ( s(sK3,sK2) = sK5 ) ),
inference(superposition,[status(thm)],[c_11408,c_265]) ).
tcf(c_22747,plain,
! [X0: $i] :
( s_t(s(sK3,sK2),sK5,X0)
| ~ s_t(s(sK3,sK2),sK2,X0) ),
inference(superposition,[status(thm)],[c_11408,c_80]) ).
tcf(c_22748,plain,
! [X0: $i] :
( s_t(s(sK3,sK2),X0,sK2)
| ~ s_t(sK5,X0,sK2) ),
inference(superposition,[status(thm)],[c_11408,c_79]) ).
tcf(c_22749,plain,
! [X0: $i] :
( s_t(sK5,sK2,X0)
| ~ s_t(s(sK3,sK2),sK2,X0) ),
inference(superposition,[status(thm)],[c_11408,c_77]) ).
tcf(c_22750,plain,
! [X0: $i] :
( s_t(s(sK3,sK2),sK5,X0)
| ~ s_t(sK5,X0,sK2) ),
inference(superposition,[status(thm)],[c_11408,c_76]) ).
tcf(c_22751,plain,
( ( s(sK3,sK2) = sK5 )
| ~ s_t(sK5,s(sK3,sK2),sK2) ),
inference(superposition,[status(thm)],[c_11408,c_75]) ).
tcf(c_22752,plain,
~ sameside(s(sK3,sK2),sK5,sK2),
inference(superposition,[status(thm)],[c_11408,c_133]) ).
tcf(c_22793,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK3 = sK4 )
| ( X2 = sK3 )
| ~ s_r(sK0,X2,sK3)
| ~ s_r(ext(sK4,sK3,X0,X1),X2,sK3) ),
inference(superposition,[status(thm)],[c_17754,c_184]) ).
tcf(c_22794,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK3,X0)
| s_t(sK0,X0,sK3)
| ( sK3 = sK4 )
| ~ s_t(sK0,X0,ext(sK4,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_17754,c_109]) ).
tcf(c_22795,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK3,X2)
| ( sK3 = sK4 )
| ( ext(sK4,sK3,X0,X1) = sK3 )
| ~ s_t(sK3,ext(sK4,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_17754,c_81]) ).
tcf(c_22796,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,ext(sK4,sK3,X0,X1),X2)
| ( sK3 = sK4 )
| ( ext(sK4,sK3,X0,X1) = sK3 )
| ~ s_t(sK3,ext(sK4,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_17754,c_78]) ).
tcf(c_22797,plain,
! [X0: $i,X1: $i] :
( sameside(ext(sK4,sK3,X0,X1),sK0,sK3)
| ( sK3 = sK4 )
| ( sK0 = sK3 )
| ( ext(sK4,sK3,X0,X1) = sK0 ) ),
inference(superposition,[status(thm)],[c_17754,c_266]) ).
tcf(c_22798,plain,
! [X0: $i,X1: $i] :
( sameside(sK3,sK0,ext(sK4,sK3,X0,X1))
| ( sK3 = sK4 )
| ( sK0 = xb )
| ( sK0 = sK3 ) ),
inference(superposition,[status(thm)],[c_17754,c_265]) ).
tcf(c_22799,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK3,X2)
| ( sK3 = sK4 )
| ~ s_t(sK0,ext(sK4,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_17754,c_80]) ).
tcf(c_22800,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,X0,ext(sK4,sK3,X1,X2))
| ( sK3 = sK4 )
| ~ s_t(sK3,X0,ext(sK4,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_17754,c_79]) ).
tcf(c_22801,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK3,ext(sK4,sK3,X0,X1),X2)
| ( sK3 = sK4 )
| ~ s_t(sK0,ext(sK4,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_17754,c_77]) ).
tcf(c_22802,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK3,X0)
| ( sK3 = sK4 )
| ~ s_t(sK3,X0,ext(sK4,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_17754,c_76]) ).
tcf(c_22803,plain,
! [X0: $i,X1: $i] :
( ( sK3 = sK4 )
| ( sK0 = sK3 )
| ~ s_t(sK3,sK0,ext(sK4,sK3,X0,X1)) ),
inference(superposition,[status(thm)],[c_17754,c_75]) ).
tcf(c_22804,plain,
! [X0: $i,X1: $i] :
( ( sK3 = sK4 )
| ~ sameside(sK0,sK3,ext(sK4,sK3,X0,X1)) ),
inference(superposition,[status(thm)],[c_17754,c_133]) ).
tcf(c_22805,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,ext(sK4,sK3,X0,X1),sK0)
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_17754,c_253]) ).
tcf(c_22806,plain,
! [X0: $i,X1: $i] :
( s_col(ext(sK4,sK3,X0,X1),sK0,sK3)
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_17754,c_252]) ).
tcf(c_22807,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK3,ext(sK4,sK3,X0,X1))
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_17754,c_251]) ).
tcf(c_22808,plain,
! [X0: $i,X1: $i] :
( s_t(ext(sK4,sK3,X0,X1),sK3,sK0)
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_17754,c_73]) ).
tcf(c_22810,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,sK3,ext(sK4,sK3,X0,X1))
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_17754,c_10520]) ).
tcf(c_22880,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK3 = sK5 )
| ( X2 = sK3 )
| ~ s_r(sK2,X2,sK3)
| ~ s_r(ext(sK5,sK3,X0,X1),X2,sK3) ),
inference(superposition,[status(thm)],[c_17800,c_184]) ).
tcf(c_22881,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,sK3,X0)
| s_t(sK2,X0,sK3)
| ( sK3 = sK5 )
| ~ s_t(sK2,X0,ext(sK5,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_17800,c_109]) ).
tcf(c_22882,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,sK3,X2)
| ( sK3 = sK5 )
| ( ext(sK5,sK3,X0,X1) = sK3 )
| ~ s_t(sK3,ext(sK5,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_17800,c_81]) ).
tcf(c_22883,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,ext(sK5,sK3,X0,X1),X2)
| ( sK3 = sK5 )
| ( ext(sK5,sK3,X0,X1) = sK3 )
| ~ s_t(sK3,ext(sK5,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_17800,c_78]) ).
tcf(c_22884,plain,
! [X0: $i,X1: $i] :
( sameside(ext(sK5,sK3,X0,X1),sK2,sK3)
| ( sK3 = sK5 )
| ( sK2 = sK3 )
| ( ext(sK5,sK3,X0,X1) = sK2 ) ),
inference(superposition,[status(thm)],[c_17800,c_266]) ).
tcf(c_22885,plain,
! [X0: $i,X1: $i] :
( sameside(sK3,sK2,ext(sK5,sK3,X0,X1))
| ( sK3 = sK5 )
| ( sK2 = xb )
| ( sK2 = sK3 ) ),
inference(superposition,[status(thm)],[c_17800,c_265]) ).
tcf(c_22886,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,sK3,X2)
| ( sK3 = sK5 )
| ~ s_t(sK2,ext(sK5,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_17800,c_80]) ).
tcf(c_22887,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,X0,ext(sK5,sK3,X1,X2))
| ( sK3 = sK5 )
| ~ s_t(sK3,X0,ext(sK5,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_17800,c_79]) ).
tcf(c_22888,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK3,ext(sK5,sK3,X0,X1),X2)
| ( sK3 = sK5 )
| ~ s_t(sK2,ext(sK5,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_17800,c_77]) ).
tcf(c_22889,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,sK3,X0)
| ( sK3 = sK5 )
| ~ s_t(sK3,X0,ext(sK5,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_17800,c_76]) ).
tcf(c_22890,plain,
! [X0: $i,X1: $i] :
( ( sK3 = sK5 )
| ( sK2 = sK3 )
| ~ s_t(sK3,sK2,ext(sK5,sK3,X0,X1)) ),
inference(superposition,[status(thm)],[c_17800,c_75]) ).
tcf(c_22891,plain,
! [X0: $i,X1: $i] :
( ( sK3 = sK5 )
| ~ sameside(sK2,sK3,ext(sK5,sK3,X0,X1)) ),
inference(superposition,[status(thm)],[c_17800,c_133]) ).
tcf(c_22892,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,ext(sK5,sK3,X0,X1),sK2)
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_17800,c_253]) ).
tcf(c_22893,plain,
! [X0: $i,X1: $i] :
( s_col(ext(sK5,sK3,X0,X1),sK2,sK3)
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_17800,c_252]) ).
tcf(c_22894,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK3,ext(sK5,sK3,X0,X1))
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_17800,c_251]) ).
tcf(c_22895,plain,
! [X0: $i,X1: $i] :
( s_t(ext(sK5,sK3,X0,X1),sK3,sK2)
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_17800,c_73]) ).
tcf(c_22897,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,sK3,ext(sK5,sK3,X0,X1))
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_17800,c_10521]) ).
tcf(c_23081,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK3 = sK4 )
| ( X2 = sK4 )
| ~ s_r(sK0,X2,sK4)
| ~ s_r(ext(sK4,sK3,X0,X1),X2,sK4) ),
inference(superposition,[status(thm)],[c_19840,c_184]) ).
tcf(c_23082,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK4,X0)
| s_t(sK0,X0,sK4)
| ( sK3 = sK4 )
| ~ s_t(sK0,X0,ext(sK4,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_19840,c_109]) ).
tcf(c_23083,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK4,X2)
| ( sK3 = sK4 )
| ( ext(sK4,sK3,X0,X1) = sK4 )
| ~ s_t(sK4,ext(sK4,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_19840,c_81]) ).
tcf(c_23084,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,ext(sK4,sK3,X0,X1),X2)
| ( sK3 = sK4 )
| ( ext(sK4,sK3,X0,X1) = sK4 )
| ~ s_t(sK4,ext(sK4,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_19840,c_78]) ).
tcf(c_23085,plain,
! [X0: $i,X1: $i] :
( sameside(ext(sK4,sK3,X0,X1),sK0,sK4)
| ( sK3 = sK4 )
| ( sK0 = sK4 )
| ( ext(sK4,sK3,X0,X1) = sK0 ) ),
inference(superposition,[status(thm)],[c_19840,c_266]) ).
tcf(c_23086,plain,
! [X0: $i,X1: $i] :
( sameside(sK4,sK0,ext(sK4,sK3,X0,X1))
| ( sK3 = sK4 )
| ( sK0 = xb )
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_19840,c_265]) ).
tcf(c_23087,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK4,X2)
| ( sK3 = sK4 )
| ~ s_t(sK0,ext(sK4,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_19840,c_80]) ).
tcf(c_23088,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,X0,ext(sK4,sK3,X1,X2))
| ( sK3 = sK4 )
| ~ s_t(sK4,X0,ext(sK4,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_19840,c_79]) ).
tcf(c_23089,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK4,ext(sK4,sK3,X0,X1),X2)
| ( sK3 = sK4 )
| ~ s_t(sK0,ext(sK4,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_19840,c_77]) ).
tcf(c_23090,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,sK4,X0)
| ( sK3 = sK4 )
| ~ s_t(sK4,X0,ext(sK4,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_19840,c_76]) ).
tcf(c_23091,plain,
! [X0: $i,X1: $i] :
( ( sK3 = sK4 )
| ( sK0 = sK4 )
| ~ s_t(sK4,sK0,ext(sK4,sK3,X0,X1)) ),
inference(superposition,[status(thm)],[c_19840,c_75]) ).
tcf(c_23092,plain,
! [X0: $i,X1: $i] :
( ( sK3 = sK4 )
| ~ sameside(sK0,sK4,ext(sK4,sK3,X0,X1)) ),
inference(superposition,[status(thm)],[c_19840,c_133]) ).
tcf(c_23093,plain,
! [X0: $i,X1: $i] :
( s_col(sK4,ext(sK4,sK3,X0,X1),sK0)
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_19840,c_253]) ).
tcf(c_23094,plain,
! [X0: $i,X1: $i] :
( s_col(ext(sK4,sK3,X0,X1),sK0,sK4)
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_19840,c_252]) ).
tcf(c_23095,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK4,ext(sK4,sK3,X0,X1))
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_19840,c_251]) ).
tcf(c_23096,plain,
! [X0: $i,X1: $i] :
( s_t(ext(sK4,sK3,X0,X1),sK4,sK0)
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_19840,c_73]) ).
tcf(c_23166,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK3 = sK5 )
| ( X2 = sK5 )
| ~ s_r(sK2,X2,sK5)
| ~ s_r(ext(sK5,sK3,X0,X1),X2,sK5) ),
inference(superposition,[status(thm)],[c_19926,c_184]) ).
tcf(c_23167,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,sK5,X0)
| s_t(sK2,X0,sK5)
| ( sK3 = sK5 )
| ~ s_t(sK2,X0,ext(sK5,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_19926,c_109]) ).
tcf(c_23168,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,sK5,X2)
| ( sK3 = sK5 )
| ( ext(sK5,sK3,X0,X1) = sK5 )
| ~ s_t(sK5,ext(sK5,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_19926,c_81]) ).
tcf(c_23169,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,ext(sK5,sK3,X0,X1),X2)
| ( sK3 = sK5 )
| ( ext(sK5,sK3,X0,X1) = sK5 )
| ~ s_t(sK5,ext(sK5,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_19926,c_78]) ).
tcf(c_23170,plain,
! [X0: $i,X1: $i] :
( sameside(ext(sK5,sK3,X0,X1),sK2,sK5)
| ( sK3 = sK5 )
| ( sK2 = sK5 )
| ( ext(sK5,sK3,X0,X1) = sK2 ) ),
inference(superposition,[status(thm)],[c_19926,c_266]) ).
tcf(c_23171,plain,
! [X0: $i,X1: $i] :
( sameside(sK5,sK2,ext(sK5,sK3,X0,X1))
| ( sK3 = sK5 )
| ( sK2 = xb )
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_19926,c_265]) ).
tcf(c_23172,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,sK5,X2)
| ( sK3 = sK5 )
| ~ s_t(sK2,ext(sK5,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_19926,c_80]) ).
tcf(c_23173,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,X0,ext(sK5,sK3,X1,X2))
| ( sK3 = sK5 )
| ~ s_t(sK5,X0,ext(sK5,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_19926,c_79]) ).
tcf(c_23174,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK5,ext(sK5,sK3,X0,X1),X2)
| ( sK3 = sK5 )
| ~ s_t(sK2,ext(sK5,sK3,X0,X1),X2) ),
inference(superposition,[status(thm)],[c_19926,c_77]) ).
tcf(c_23175,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,sK5,X0)
| ( sK3 = sK5 )
| ~ s_t(sK5,X0,ext(sK5,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_19926,c_76]) ).
tcf(c_23176,plain,
! [X0: $i,X1: $i] :
( ( sK3 = sK5 )
| ( sK2 = sK5 )
| ~ s_t(sK5,sK2,ext(sK5,sK3,X0,X1)) ),
inference(superposition,[status(thm)],[c_19926,c_75]) ).
tcf(c_23177,plain,
! [X0: $i,X1: $i] :
( ( sK3 = sK5 )
| ~ sameside(sK2,sK5,ext(sK5,sK3,X0,X1)) ),
inference(superposition,[status(thm)],[c_19926,c_133]) ).
tcf(c_23178,plain,
! [X0: $i,X1: $i] :
( s_col(sK5,ext(sK5,sK3,X0,X1),sK2)
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_19926,c_253]) ).
tcf(c_23179,plain,
! [X0: $i,X1: $i] :
( s_col(ext(sK5,sK3,X0,X1),sK2,sK5)
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_19926,c_252]) ).
tcf(c_23180,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK5,ext(sK5,sK3,X0,X1))
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_19926,c_251]) ).
tcf(c_23181,plain,
! [X0: $i,X1: $i] :
( s_t(ext(sK5,sK3,X0,X1),sK5,sK2)
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_19926,c_73]) ).
tcf(c_23251,plain,
! [X0: $i] :
( s_t(sK0,sK4,midpoint(sK0,sK3))
| ( midpoint(sK0,sK3) = X0 )
| ~ s_r(sK4,X0,midpoint(sK0,sK3))
| ~ s_r(sK0,X0,midpoint(sK0,sK3)) ),
inference(superposition,[status(thm)],[c_19992,c_184]) ).
tcf(c_23252,plain,
! [X0: $i] :
( s_t(sK0,sK4,midpoint(sK0,sK3))
| s_t(sK0,X0,midpoint(sK0,sK3))
| s_t(sK0,midpoint(sK0,sK3),X0)
| ~ s_t(sK0,X0,sK4) ),
inference(superposition,[status(thm)],[c_19992,c_109]) ).
tcf(c_23253,plain,
! [X0: $i] :
( s_t(sK0,sK4,midpoint(sK0,sK3))
| s_t(sK0,midpoint(sK0,sK3),X0)
| ( midpoint(sK0,sK3) = sK4 )
| ~ s_t(midpoint(sK0,sK3),sK4,X0) ),
inference(superposition,[status(thm)],[c_19992,c_81]) ).
tcf(c_23254,plain,
! [X0: $i] :
( s_t(sK0,sK4,X0)
| s_t(sK0,sK4,midpoint(sK0,sK3))
| ( midpoint(sK0,sK3) = sK4 )
| ~ s_t(midpoint(sK0,sK3),sK4,X0) ),
inference(superposition,[status(thm)],[c_19992,c_78]) ).
tcf(c_23255,plain,
( sameside(sK4,sK0,midpoint(sK0,sK3))
| s_t(sK0,sK4,midpoint(sK0,sK3))
| ( sK0 = sK4 )
| ( midpoint(sK0,sK3) = sK0 ) ),
inference(superposition,[status(thm)],[c_19992,c_266]) ).
tcf(c_23256,plain,
( sameside(midpoint(sK0,sK3),sK0,sK4)
| s_t(sK0,sK4,midpoint(sK0,sK3))
| ( sK0 = xb )
| ( midpoint(sK0,sK3) = sK0 ) ),
inference(superposition,[status(thm)],[c_19992,c_265]) ).
tcf(c_23257,plain,
! [X0: $i] :
( s_t(sK0,sK4,midpoint(sK0,sK3))
| s_t(sK0,midpoint(sK0,sK3),X0)
| ~ s_t(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_19992,c_80]) ).
tcf(c_23258,plain,
! [X0: $i] :
( s_t(sK0,X0,sK4)
| s_t(sK0,sK4,midpoint(sK0,sK3))
| ~ s_t(midpoint(sK0,sK3),X0,sK4) ),
inference(superposition,[status(thm)],[c_19992,c_79]) ).
tcf(c_23259,plain,
! [X0: $i] :
( s_t(sK0,sK4,midpoint(sK0,sK3))
| s_t(midpoint(sK0,sK3),sK4,X0)
| ~ s_t(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_19992,c_77]) ).
tcf(c_23260,plain,
! [X0: $i] :
( s_t(sK0,sK4,midpoint(sK0,sK3))
| s_t(sK0,midpoint(sK0,sK3),X0)
| ~ s_t(midpoint(sK0,sK3),X0,sK4) ),
inference(superposition,[status(thm)],[c_19992,c_76]) ).
tcf(c_23261,plain,
( s_t(sK0,sK4,midpoint(sK0,sK3))
| ( midpoint(sK0,sK3) = sK0 )
| ~ s_t(midpoint(sK0,sK3),sK0,sK4) ),
inference(superposition,[status(thm)],[c_19992,c_75]) ).
tcf(c_23262,plain,
( s_t(sK0,sK4,midpoint(sK0,sK3))
| ~ sameside(sK0,midpoint(sK0,sK3),sK4) ),
inference(superposition,[status(thm)],[c_19992,c_133]) ).
tcf(c_23263,plain,
( s_col(midpoint(sK0,sK3),sK4,sK0)
| s_t(sK0,sK4,midpoint(sK0,sK3)) ),
inference(superposition,[status(thm)],[c_19992,c_253]) ).
tcf(c_23264,plain,
( s_col(sK4,sK0,midpoint(sK0,sK3))
| s_t(sK0,sK4,midpoint(sK0,sK3)) ),
inference(superposition,[status(thm)],[c_19992,c_252]) ).
tcf(c_23265,plain,
( s_col(sK0,midpoint(sK0,sK3),sK4)
| s_t(sK0,sK4,midpoint(sK0,sK3)) ),
inference(superposition,[status(thm)],[c_19992,c_251]) ).
tcf(c_23266,plain,
( s_t(sK4,midpoint(sK0,sK3),sK0)
| s_t(sK0,sK4,midpoint(sK0,sK3)) ),
inference(superposition,[status(thm)],[c_19992,c_73]) ).
tcf(c_23384,plain,
! [X0: $i] :
( s_t(sK2,sK5,midpoint(sK2,sK3))
| ( midpoint(sK2,sK3) = X0 )
| ~ s_r(sK5,X0,midpoint(sK2,sK3))
| ~ s_r(sK2,X0,midpoint(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_20058,c_184]) ).
tcf(c_23385,plain,
! [X0: $i] :
( s_t(sK2,sK5,midpoint(sK2,sK3))
| s_t(sK2,X0,midpoint(sK2,sK3))
| s_t(sK2,midpoint(sK2,sK3),X0)
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_20058,c_109]) ).
tcf(c_23386,plain,
! [X0: $i] :
( s_t(sK2,sK5,midpoint(sK2,sK3))
| s_t(sK2,midpoint(sK2,sK3),X0)
| ( midpoint(sK2,sK3) = sK5 )
| ~ s_t(midpoint(sK2,sK3),sK5,X0) ),
inference(superposition,[status(thm)],[c_20058,c_81]) ).
tcf(c_23387,plain,
! [X0: $i] :
( s_t(sK2,sK5,X0)
| s_t(sK2,sK5,midpoint(sK2,sK3))
| ( midpoint(sK2,sK3) = sK5 )
| ~ s_t(midpoint(sK2,sK3),sK5,X0) ),
inference(superposition,[status(thm)],[c_20058,c_78]) ).
tcf(c_23388,plain,
( sameside(sK5,sK2,midpoint(sK2,sK3))
| s_t(sK2,sK5,midpoint(sK2,sK3))
| ( sK2 = sK5 )
| ( midpoint(sK2,sK3) = sK2 ) ),
inference(superposition,[status(thm)],[c_20058,c_266]) ).
tcf(c_23389,plain,
( sameside(midpoint(sK2,sK3),sK2,sK5)
| s_t(sK2,sK5,midpoint(sK2,sK3))
| ( sK2 = xb )
| ( midpoint(sK2,sK3) = sK2 ) ),
inference(superposition,[status(thm)],[c_20058,c_265]) ).
tcf(c_23390,plain,
! [X0: $i] :
( s_t(sK2,sK5,midpoint(sK2,sK3))
| s_t(sK2,midpoint(sK2,sK3),X0)
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_20058,c_80]) ).
tcf(c_23391,plain,
! [X0: $i] :
( s_t(sK2,X0,sK5)
| s_t(sK2,sK5,midpoint(sK2,sK3))
| ~ s_t(midpoint(sK2,sK3),X0,sK5) ),
inference(superposition,[status(thm)],[c_20058,c_79]) ).
tcf(c_23392,plain,
! [X0: $i] :
( s_t(sK2,sK5,midpoint(sK2,sK3))
| s_t(midpoint(sK2,sK3),sK5,X0)
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_20058,c_77]) ).
tcf(c_23393,plain,
! [X0: $i] :
( s_t(sK2,sK5,midpoint(sK2,sK3))
| s_t(sK2,midpoint(sK2,sK3),X0)
| ~ s_t(midpoint(sK2,sK3),X0,sK5) ),
inference(superposition,[status(thm)],[c_20058,c_76]) ).
tcf(c_23394,plain,
( s_t(sK2,sK5,midpoint(sK2,sK3))
| ( midpoint(sK2,sK3) = sK2 )
| ~ s_t(midpoint(sK2,sK3),sK2,sK5) ),
inference(superposition,[status(thm)],[c_20058,c_75]) ).
tcf(c_23395,plain,
( s_t(sK2,sK5,midpoint(sK2,sK3))
| ~ sameside(sK2,midpoint(sK2,sK3),sK5) ),
inference(superposition,[status(thm)],[c_20058,c_133]) ).
tcf(c_23396,plain,
( s_col(midpoint(sK2,sK3),sK5,sK2)
| s_t(sK2,sK5,midpoint(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_20058,c_253]) ).
tcf(c_23397,plain,
( s_col(sK5,sK2,midpoint(sK2,sK3))
| s_t(sK2,sK5,midpoint(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_20058,c_252]) ).
tcf(c_23398,plain,
( s_col(sK2,midpoint(sK2,sK3),sK5)
| s_t(sK2,sK5,midpoint(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_20058,c_251]) ).
tcf(c_23399,plain,
( s_t(sK5,midpoint(sK2,sK3),sK2)
| s_t(sK2,sK5,midpoint(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_20058,c_73]) ).
tcf(c_23467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X2,X3,X4)
| ~ s_e(s(midpoint(X0,X1),X2),X1,X3,X4) ),
inference(superposition,[status(thm)],[c_8873,c_63]) ).
tcf(c_23468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(midpoint(X0,X4),X1),X4,X2,X3)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8873,c_50]) ).
tcf(c_23469,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X2,s(midpoint(X0,X1),X2),X3)
| ~ s_t(s(midpoint(X0,X1),X2),X1,X3) ),
inference(superposition,[status(thm)],[c_8873,c_261]) ).
tcf(c_23470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(X0,X1,s(midpoint(X0,X3),X2),X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8873,c_113]) ).
tcf(c_23476,plain,
! [X0: $i] : s_e(sK1,sK0,s(midpoint(sK2,X0),sK5),X0),
inference(superposition,[status(thm)],[c_8873,c_14226]) ).
tcf(c_23493,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_23494,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_264]) ).
tcf(c_23495,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_23496,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_23521,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_23524,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_23525,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_23526,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_277,c_106]) ).
tcf(c_23527,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ s_e(X2,X0,X2,X1)
| ~ s_t(midpoint(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_1804,c_106]) ).
tcf(c_23528,plain,
! [X0: $i] :
( ( sK0 = sK5 )
| ~ s_t(iPr_def_10,sK0,X0)
| ~ s_e(X0,sK0,X0,sK5) ),
inference(superposition,[status(thm)],[c_8164,c_106]) ).
tcf(c_23529,plain,
! [X0: $i] :
( ( sK1 = sK2 )
| ~ s_t(iPr_def_11,sK2,X0)
| ~ s_e(X0,sK2,X0,sK1) ),
inference(superposition,[status(thm)],[c_8166,c_106]) ).
tcf(c_23530,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_8176,c_106]) ).
tcf(c_23531,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_8183,c_106]) ).
tcf(c_23532,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ s_e(X2,X1,X2,X0)
| ~ s_t(midpoint(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_8226,c_106]) ).
tcf(c_23533,plain,
! [X0: $i] :
( ( sK0 = sK5 )
| ~ s_t(iPr_def_10,sK5,X0)
| ~ s_e(X0,sK5,X0,sK0) ),
inference(superposition,[status(thm)],[c_8232,c_106]) ).
tcf(c_23534,plain,
! [X0: $i] :
( ( sK1 = sK2 )
| ~ s_t(iPr_def_11,sK1,X0)
| ~ s_e(X0,sK1,X0,sK2) ),
inference(superposition,[status(thm)],[c_8238,c_106]) ).
tcf(c_23537,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(midpoint(X2,X2),X1) = X1 )
| ~ s_t(X2,X1,X0)
| ~ s_e(X0,X1,X0,s(midpoint(X2,X2),X1)) ),
inference(superposition,[status(thm)],[c_8479,c_106]) ).
tcf(c_23539,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_8752,c_106]) ).
tcf(c_23540,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(midpoint(X1,X1),X2) = X2 )
| ~ s_t(X1,s(midpoint(X1,X1),X2),X0)
| ~ s_e(X0,s(midpoint(X1,X1),X2),X0,X2) ),
inference(superposition,[status(thm)],[c_8766,c_106]) ).
tcf(c_23541,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_8789,c_106]) ).
tcf(c_23542,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_8794,c_106]) ).
tcf(c_23544,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( s(midpoint(X1,X2),X2) = X1 )
| ~ s_t(X2,X1,X0)
| ~ s_e(X0,X1,X0,s(midpoint(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_8800,c_106]) ).
tcf(c_23550,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_8889,c_106]) ).
tcf(c_23553,plain,
! [X0: $i] :
( ( s(midpoint(sK1,sK2),sK0) = sK5 )
| ~ s_t(sK2,sK5,X0)
| ~ s_e(X0,sK5,X0,s(midpoint(sK1,sK2),sK0)) ),
inference(superposition,[status(thm)],[c_14744,c_106]) ).
tcf(c_23554,plain,
! [X0: $i] :
( ( s(iPr_def_11,sK0) = sK5 )
| ~ s_t(sK2,sK5,X0)
| ~ s_e(X0,sK5,X0,s(iPr_def_11,sK0)) ),
inference(superposition,[status(thm)],[c_14745,c_106]) ).
tcf(c_23555,plain,
! [X0: $i] :
( ( s(midpoint(sK2,sK1),sK0) = sK5 )
| ~ s_t(sK2,sK5,X0)
| ~ s_e(X0,sK5,X0,s(midpoint(sK2,sK1),sK0)) ),
inference(superposition,[status(thm)],[c_14749,c_106]) ).
tcf(c_23556,plain,
! [X0: $i,X1: $i] :
( ( ext(X1,sK2,sK1,sK0) = sK5 )
| ~ s_t(sK2,sK5,X0)
| ~ s_e(X0,sK5,X0,ext(X1,sK2,sK1,sK0)) ),
inference(superposition,[status(thm)],[c_14751,c_106]) ).
tcf(c_23703,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_23704,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_23707,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_359,c_123]) ).
tcf(c_23729,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_23730,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_23736,plain,
( ( sK0 = sK4 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_r(sK4,sK0,midpoint(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_11739,c_187]) ).
tcf(c_23737,plain,
! [X0: $i] :
( s_r(midpoint(sK3,sK4),sK4,X0)
| ( sK0 = sK4 )
| ~ s_r(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_11739,c_181]) ).
tcf(c_23739,plain,
( sameside(sK4,sK0,midpoint(sK3,sK4))
| s_t(sK4,sK0,midpoint(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_11739,c_134]) ).
tcf(c_23754,plain,
( ( sK0 = sK4 )
| ( midpoint(sK3,sK4) = sK4 )
| ~ s_r(midpoint(sK3,sK4),sK4,sK0) ),
inference(superposition,[status(thm)],[c_11740,c_187]) ).
tcf(c_23755,plain,
! [X0: $i] :
( s_r(sK0,midpoint(sK3,sK4),X0)
| ( midpoint(sK3,sK4) = sK4 )
| ~ s_r(sK4,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_11740,c_181]) ).
tcf(c_23770,plain,
( ( midpoint(sK3,sK4) = sK4 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_r(sK0,midpoint(sK3,sK4),sK4) ),
inference(superposition,[status(thm)],[c_11741,c_187]) ).
tcf(c_23771,plain,
! [X0: $i] :
( s_r(sK4,sK0,X0)
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_r(midpoint(sK3,sK4),sK0,X0) ),
inference(superposition,[status(thm)],[c_11741,c_181]) ).
tcf(c_23773,plain,
( sameside(sK0,midpoint(sK3,sK4),sK4)
| s_t(sK0,midpoint(sK3,sK4),sK4) ),
inference(superposition,[status(thm)],[c_11741,c_134]) ).
tcf(c_23896,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,sK0,ext(sK4,sK0,X0,X1))
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_52,c_17121]) ).
tcf(c_23897,plain,
( s_t(sK3,sK0,sK0)
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_72,c_17121]) ).
tcf(c_23898,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,sK0,ins(X0,X1,sK4,sK0))
| ( sK0 = sK4 )
| ~ le(sK4,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_17121]) ).
tcf(c_23899,plain,
! [X0: $i] :
( s_t(sK3,sK0,c63(sK4,sK0,X0))
| ( sK0 = sK4 )
| ~ sameside(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_129,c_17121]) ).
tcf(c_23900,plain,
! [X0: $i] :
( s_t(sK3,sK0,c63(X0,sK0,sK4))
| ( sK0 = sK4 )
| ~ sameside(X0,sK0,sK4) ),
inference(superposition,[status(thm)],[c_130,c_17121]) ).
tcf(c_23901,plain,
( s_t(sK3,sK0,s(sK0,sK4))
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_8175,c_17121]) ).
tcf(c_23925,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,sK2,ext(sK5,sK2,X0,X1))
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_52,c_17122]) ).
tcf(c_23926,plain,
( s_t(sK3,sK2,sK2)
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_72,c_17122]) ).
tcf(c_23927,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,sK2,ins(X0,X1,sK5,sK2))
| ( sK2 = sK5 )
| ~ le(sK5,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_17122]) ).
tcf(c_23928,plain,
! [X0: $i] :
( s_t(sK3,sK2,c63(sK5,sK2,X0))
| ( sK2 = sK5 )
| ~ sameside(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_129,c_17122]) ).
tcf(c_23929,plain,
! [X0: $i] :
( s_t(sK3,sK2,c63(X0,sK2,sK5))
| ( sK2 = sK5 )
| ~ sameside(X0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_130,c_17122]) ).
tcf(c_23930,plain,
( s_t(sK3,sK2,s(sK2,sK5))
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_8175,c_17122]) ).
tcf(c_23955,plain,
( sameside(sK4,sK0,sK4)
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_17720,c_17718]) ).
tcf(c_23956,plain,
( sameside(sK4,sK0,sK4)
| s_t(sK3,sK0,sK4)
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_9685,c_17718]) ).
tcf(c_23969,plain,
( sameside(sK5,sK2,sK5)
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_17736,c_17734]) ).
tcf(c_23970,plain,
( sameside(sK5,sK2,sK5)
| s_t(sK3,sK2,sK5)
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_9686,c_17734]) ).
tcf(c_23982,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,sK4,ext(sK4,sK0,X0,X1))
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_52,c_17920]) ).
tcf(c_23984,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,sK4,ins(X0,X1,sK4,sK0))
| ( sK0 = sK4 )
| ~ le(sK4,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_17920]) ).
tcf(c_23985,plain,
! [X0: $i] :
( s_t(sK3,sK4,c63(sK4,sK0,X0))
| ( sK0 = sK4 )
| ~ sameside(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_129,c_17920]) ).
tcf(c_23986,plain,
! [X0: $i] :
( s_t(sK3,sK4,c63(X0,sK0,sK4))
| ( sK0 = sK4 )
| ~ sameside(X0,sK0,sK4) ),
inference(superposition,[status(thm)],[c_130,c_17920]) ).
tcf(c_23987,plain,
( s_t(sK3,sK4,s(sK0,sK4))
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_8175,c_17920]) ).
tcf(c_24011,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,sK5,ext(sK5,sK2,X0,X1))
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_52,c_17921]) ).
tcf(c_24013,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,sK5,ins(X0,X1,sK5,sK2))
| ( sK2 = sK5 )
| ~ le(sK5,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_17921]) ).
tcf(c_24014,plain,
! [X0: $i] :
( s_t(sK3,sK5,c63(sK5,sK2,X0))
| ( sK2 = sK5 )
| ~ sameside(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_129,c_17921]) ).
tcf(c_24015,plain,
! [X0: $i] :
( s_t(sK3,sK5,c63(X0,sK2,sK5))
| ( sK2 = sK5 )
| ~ sameside(X0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_130,c_17921]) ).
tcf(c_24016,plain,
( s_t(sK3,sK5,s(sK2,sK5))
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_8175,c_17921]) ).
tcf(c_24040,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK3,sK4,ip(X0,sK3,X1,sK0,X2))
| s_t(sK3,ip(X0,sK3,X1,sK0,X2),sK4)
| ~ s_t(sK0,X2,X1)
| ~ s_t(X0,sK3,X1) ),
inference(superposition,[status(thm)],[c_56,c_18224]) ).
tcf(c_24041,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK3,sK4,ip(sK0,X2,X1,X0,sK3))
| s_t(sK3,ip(sK0,X2,X1,X0,sK3),sK4)
| ~ s_t(sK0,X2,X1)
| ~ s_t(X0,sK3,X1) ),
inference(superposition,[status(thm)],[c_57,c_18224]) ).
tcf(c_24043,plain,
( s_t(sK3,sK4,sK3)
| s_t(sK3,sK3,sK4) ),
inference(superposition,[status(thm)],[c_74,c_18224]) ).
tcf(c_24044,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,sK4,ext(ext(sK0,sK3,alpha,gamma),sK3,X0,X1))
| s_t(sK3,ext(ext(sK0,sK3,alpha,gamma),sK3,X0,X1),sK4)
| ~ le(X0,X1,sK3,sK0) ),
inference(superposition,[status(thm)],[c_259,c_18224]) ).
tcf(c_24045,plain,
( s_t(sK3,sK4,midpoint(sK3,sK0))
| s_t(sK3,midpoint(sK3,sK0),sK4) ),
inference(superposition,[status(thm)],[c_1750,c_18224]) ).
tcf(c_24047,plain,
( s_t(sK3,sK4,midpoint(sK0,sK3))
| s_t(sK3,midpoint(sK0,sK3),sK4) ),
inference(superposition,[status(thm)],[c_8202,c_18224]) ).
tcf(c_24048,plain,
( s_t(sK3,sK4,midpoint(sK3,sK4))
| s_t(sK3,midpoint(sK3,sK4),sK4) ),
inference(superposition,[status(thm)],[c_11315,c_18224]) ).
tcf(c_24073,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK3,sK5,ip(X0,sK3,X1,sK2,X2))
| s_t(sK3,ip(X0,sK3,X1,sK2,X2),sK5)
| ~ s_t(sK2,X2,X1)
| ~ s_t(X0,sK3,X1) ),
inference(superposition,[status(thm)],[c_56,c_18225]) ).
tcf(c_24074,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK3,sK5,ip(sK2,X2,X1,X0,sK3))
| s_t(sK3,ip(sK2,X2,X1,X0,sK3),sK5)
| ~ s_t(sK2,X2,X1)
| ~ s_t(X0,sK3,X1) ),
inference(superposition,[status(thm)],[c_57,c_18225]) ).
tcf(c_24076,plain,
( s_t(sK3,sK5,sK3)
| s_t(sK3,sK3,sK5) ),
inference(superposition,[status(thm)],[c_74,c_18225]) ).
tcf(c_24077,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,sK5,ext(ext(sK2,sK3,alpha,gamma),sK3,X0,X1))
| s_t(sK3,ext(ext(sK2,sK3,alpha,gamma),sK3,X0,X1),sK5)
| ~ le(X0,X1,sK3,sK2) ),
inference(superposition,[status(thm)],[c_259,c_18225]) ).
tcf(c_24078,plain,
( s_t(sK3,sK5,midpoint(sK3,sK2))
| s_t(sK3,midpoint(sK3,sK2),sK5) ),
inference(superposition,[status(thm)],[c_1750,c_18225]) ).
tcf(c_24080,plain,
( s_t(sK3,sK5,midpoint(sK2,sK3))
| s_t(sK3,midpoint(sK2,sK3),sK5) ),
inference(superposition,[status(thm)],[c_8202,c_18225]) ).
tcf(c_24081,plain,
( s_t(sK3,sK5,midpoint(sK3,sK5))
| s_t(sK3,midpoint(sK3,sK5),sK5) ),
inference(superposition,[status(thm)],[c_11348,c_18225]) ).
tcf(c_24111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(s(midpoint(X1,X3),X0),X3,X0,X2)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8874,c_261]) ).
tcf(c_24112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(s(midpoint(X0,X1),X2),X3,X2,X0)
| ~ s_t(s(midpoint(X0,X1),X2),X3,X1) ),
inference(superposition,[status(thm)],[c_8874,c_113]) ).
tcf(c_24130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( il(X0,X1,X2,X3) = X3 )
| ~ s_col(X0,X1,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_204,c_203]) ).
tcf(c_24131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perpAt(X2,X3,X3,X0,X1)
| ( X0 = X1 )
| ~ s_col(X0,X1,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_204,c_189]) ).
tcf(c_24133,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X2,X3,X3)
| ( X0 = X1 )
| ~ s_col(X0,X1,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_204,c_280]) ).
tcf(c_24153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( s_r(X4,X3,X5)
| ( X0 = X1 )
| ~ s_col(X2,X3,X5)
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_204,c_283]) ).
tcf(c_24154,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_287,c_283]) ).
tcf(c_24175,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_24176,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_24177,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_24180,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_24181,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_24182,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_24183,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_24184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X0)
| s_t(X0,X3,erect21a(X1,X2,X0))
| s_t(X0,erect21a(X1,X2,X0),X3)
| ( X1 = X2 )
| ( erectAux21a(X1,X2,X0) = X0 )
| ~ s_t(X0,erectAux21a(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_217,c_107]) ).
tcf(c_24185,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X0,X3,erect(X1,X2,X0))
| s_t(X0,erect(X1,X2,X0),X3)
| ( X1 = X2 )
| ( erectAux(X1,X2,X0) = X0 )
| ~ s_t(X0,erectAux(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_220,c_107]) ).
tcf(c_24186,plain,
! [X0: $i] :
( s_t(sK0,sK3,X0)
| s_t(sK0,X0,sK3)
| ( sK0 = sK4 )
| ~ s_t(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_5723,c_107]) ).
tcf(c_24187,plain,
! [X0: $i] :
( s_t(sK2,sK3,X0)
| s_t(sK2,X0,sK3)
| ( sK2 = sK5 )
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_5722,c_107]) ).
tcf(c_24188,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_259,c_107]) ).
tcf(c_24189,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,X1)
| s_t(X0,X1,X2)
| ( midpoint(X0,X1) = X0 )
| ~ s_t(X0,midpoint(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1750,c_107]) ).
tcf(c_24190,plain,
! [X0: $i] :
( s_t(sK0,sK5,X0)
| s_t(sK0,X0,sK5)
| ( sK0 = iPr_def_10 )
| ~ s_t(sK0,iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_8163,c_107]) ).
tcf(c_24191,plain,
! [X0: $i] :
( s_t(sK2,sK1,X0)
| s_t(sK2,X0,sK1)
| ( sK2 = iPr_def_11 )
| ~ s_t(sK2,iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_8165,c_107]) ).
tcf(c_24192,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_8175,c_107]) ).
tcf(c_24193,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_8180,c_107]) ).
tcf(c_24194,plain,
! [X0: $i] :
( s_t(sK3,sK0,X0)
| s_t(sK3,X0,sK0)
| ( sK3 = sK4 )
| ~ s_t(sK3,sK4,X0) ),
inference(superposition,[status(thm)],[c_8200,c_107]) ).
tcf(c_24195,plain,
! [X0: $i] :
( s_t(sK3,sK2,X0)
| s_t(sK3,X0,sK2)
| ( sK3 = sK5 )
| ~ s_t(sK3,sK5,X0) ),
inference(superposition,[status(thm)],[c_8201,c_107]) ).
tcf(c_24196,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,X2,X1)
| s_t(X0,X1,X2)
| ( midpoint(X1,X0) = X0 )
| ~ s_t(X0,midpoint(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_8202,c_107]) ).
tcf(c_24197,plain,
! [X0: $i] :
( s_t(sK5,sK0,X0)
| s_t(sK5,X0,sK0)
| ( sK5 = iPr_def_10 )
| ~ s_t(sK5,iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_8203,c_107]) ).
tcf(c_24198,plain,
! [X0: $i] :
( s_t(sK1,sK2,X0)
| s_t(sK1,X0,sK2)
| ( sK1 = iPr_def_11 )
| ~ s_t(sK1,iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_8204,c_107]) ).
tcf(c_24199,plain,
! [X0: $i] :
( s_t(sK2,sK4,sK1)
| s_t(sK1,sK2,sK4)
| s_t(sK4,sK2,X0)
| s_t(sK4,X0,sK2)
| ( sK1 = sK4 )
| ~ s_t(sK4,sK1,X0) ),
inference(superposition,[status(thm)],[c_16412,c_107]) ).
tcf(c_24200,plain,
! [X0: $i] :
( s_t(sK2,sK1,sK4)
| s_t(sK1,sK4,sK2)
| s_t(sK4,sK1,X0)
| s_t(sK4,X0,sK1)
| ( sK2 = sK4 )
| ~ s_t(sK4,sK2,X0) ),
inference(superposition,[status(thm)],[c_16414,c_107]) ).
tcf(c_24201,plain,
! [X0: $i] :
( s_t(sK0,X0,midpoint(sK3,sK4))
| s_t(sK0,midpoint(sK3,sK4),X0)
| ( sK0 = sK4 )
| ~ s_t(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_10794,c_107]) ).
tcf(c_24202,plain,
! [X0: $i] :
( s_t(sK2,X0,midpoint(sK3,sK5))
| s_t(sK2,midpoint(sK3,sK5),X0)
| ( sK2 = sK5 )
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_10807,c_107]) ).
tcf(c_24203,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK4,X0,ext(sK0,sK3,X1,X2))
| s_t(sK4,ext(sK0,sK3,X1,X2),X0)
| ( sK3 = sK4 )
| ~ s_t(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_10812,c_107]) ).
tcf(c_24204,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,X0,c63(sK0,sK3,X1))
| s_t(sK4,c63(sK0,sK3,X1),X0)
| ( sK3 = sK4 )
| ~ sameside(sK0,sK3,X1)
| ~ s_t(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_10814,c_107]) ).
tcf(c_24205,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,X0,c63(X1,sK3,sK0))
| s_t(sK4,c63(X1,sK3,sK0),X0)
| ( sK3 = sK4 )
| ~ sameside(X1,sK3,sK0)
| ~ s_t(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_10815,c_107]) ).
tcf(c_24206,plain,
! [X0: $i] :
( s_t(sK4,X0,s(sK3,sK0))
| s_t(sK4,s(sK3,sK0),X0)
| ( sK3 = sK4 )
| ~ s_t(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_10816,c_107]) ).
tcf(c_24207,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK5,X0,ext(sK2,sK3,X1,X2))
| s_t(sK5,ext(sK2,sK3,X1,X2),X0)
| ( sK3 = sK5 )
| ~ s_t(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_10836,c_107]) ).
tcf(c_24208,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,X0,c63(sK2,sK3,X1))
| s_t(sK5,c63(sK2,sK3,X1),X0)
| ( sK3 = sK5 )
| ~ sameside(sK2,sK3,X1)
| ~ s_t(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_10838,c_107]) ).
tcf(c_24209,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,X0,c63(X1,sK3,sK2))
| s_t(sK5,c63(X1,sK3,sK2),X0)
| ( sK3 = sK5 )
| ~ sameside(X1,sK3,sK2)
| ~ s_t(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_10839,c_107]) ).
tcf(c_24210,plain,
! [X0: $i] :
( s_t(sK5,X0,s(sK3,sK2))
| s_t(sK5,s(sK3,sK2),X0)
| ( sK3 = sK5 )
| ~ s_t(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_10840,c_107]) ).
tcf(c_24211,plain,
! [X0: $i] :
( s_t(sK0,sK3,X0)
| s_t(sK0,X0,sK3)
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_t(sK0,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_10855,c_107]) ).
tcf(c_24212,plain,
! [X0: $i] :
( s_t(sK2,sK3,X0)
| s_t(sK2,X0,sK3)
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_t(sK2,midpoint(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_10867,c_107]) ).
tcf(c_24213,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,X0,ext(sK0,sK3,X1,X2))
| s_t(sK0,ext(sK0,sK3,X1,X2),X0)
| ( sK0 = sK4 )
| ~ s_t(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_10872,c_107]) ).
tcf(c_24214,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,X0,c63(sK0,sK3,X1))
| s_t(sK0,c63(sK0,sK3,X1),X0)
| ( sK0 = sK4 )
| ~ sameside(sK0,sK3,X1)
| ~ s_t(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_10874,c_107]) ).
tcf(c_24215,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,X0,c63(X1,sK3,sK0))
| s_t(sK0,c63(X1,sK3,sK0),X0)
| ( sK0 = sK4 )
| ~ sameside(X1,sK3,sK0)
| ~ s_t(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_10875,c_107]) ).
tcf(c_24216,plain,
! [X0: $i] :
( s_t(sK0,X0,s(sK3,sK0))
| s_t(sK0,s(sK3,sK0),X0)
| ( sK0 = sK4 )
| ~ s_t(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_10876,c_107]) ).
tcf(c_24217,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,X0,ext(sK2,sK3,X1,X2))
| s_t(sK2,ext(sK2,sK3,X1,X2),X0)
| ( sK2 = sK5 )
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_10893,c_107]) ).
tcf(c_24218,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,X0,c63(sK2,sK3,X1))
| s_t(sK2,c63(sK2,sK3,X1),X0)
| ( sK2 = sK5 )
| ~ sameside(sK2,sK3,X1)
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_10895,c_107]) ).
tcf(c_24219,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,X0,c63(X1,sK3,sK2))
| s_t(sK2,c63(X1,sK3,sK2),X0)
| ( sK2 = sK5 )
| ~ sameside(X1,sK3,sK2)
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_10896,c_107]) ).
tcf(c_24220,plain,
! [X0: $i] :
( s_t(sK2,X0,s(sK3,sK2))
| s_t(sK2,s(sK3,sK2),X0)
| ( sK2 = sK5 )
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_10897,c_107]) ).
tcf(c_24221,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,X2,ins(X0,X1,sK0,sK3))
| s_t(sK0,ins(X0,X1,sK0,sK3),X2)
| ( sK0 = sK4 )
| ~ s_t(sK0,sK4,X2)
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_10944,c_107]) ).
tcf(c_24222,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK4,X2,ins(X0,X1,sK0,sK3))
| s_t(sK4,ins(X0,X1,sK0,sK3),X2)
| ( sK3 = sK4 )
| ~ s_t(sK4,sK3,X2)
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_10945,c_107]) ).
tcf(c_24223,plain,
! [X0: $i] :
( s_t(midpoint(sK3,sK4),sK0,X0)
| s_t(midpoint(sK3,sK4),X0,sK0)
| ( midpoint(sK3,sK4) = sK4 )
| ~ s_t(midpoint(sK3,sK4),sK4,X0) ),
inference(superposition,[status(thm)],[c_11193,c_107]) ).
tcf(c_24224,plain,
! [X0: $i] :
( s_t(midpoint(sK3,sK5),sK2,X0)
| s_t(midpoint(sK3,sK5),X0,sK2)
| ( midpoint(sK3,sK5) = sK5 )
| ~ s_t(midpoint(sK3,sK5),sK5,X0) ),
inference(superposition,[status(thm)],[c_11222,c_107]) ).
tcf(c_24225,plain,
! [X0: $i] :
( s_t(s(sK3,sK0),sK4,X0)
| s_t(s(sK3,sK0),X0,sK4)
| ( s(sK3,sK0) = sK3 )
| ~ s_t(s(sK3,sK0),sK3,X0) ),
inference(superposition,[status(thm)],[c_11254,c_107]) ).
tcf(c_24226,plain,
! [X0: $i] :
( s_t(s(sK3,sK2),sK5,X0)
| s_t(s(sK3,sK2),X0,sK5)
| ( s(sK3,sK2) = sK3 )
| ~ s_t(s(sK3,sK2),sK3,X0) ),
inference(superposition,[status(thm)],[c_11286,c_107]) ).
tcf(c_24227,plain,
! [X0: $i] :
( s_t(sK3,sK0,X0)
| s_t(sK3,X0,sK0)
| ( midpoint(sK3,sK4) = sK3 )
| ~ s_t(sK3,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_11315,c_107]) ).
tcf(c_24228,plain,
! [X0: $i] :
( s_t(sK3,sK2,X0)
| s_t(sK3,X0,sK2)
| ( midpoint(sK3,sK5) = sK3 )
| ~ s_t(sK3,midpoint(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_11348,c_107]) ).
tcf(c_24229,plain,
! [X0: $i] :
( s_t(s(sK3,sK0),sK0,X0)
| s_t(s(sK3,sK0),X0,sK0)
| ( s(sK3,sK0) = sK4 )
| ~ s_t(s(sK3,sK0),sK4,X0) ),
inference(superposition,[status(thm)],[c_11376,c_107]) ).
tcf(c_24230,plain,
! [X0: $i] :
( s_t(s(sK3,sK2),sK2,X0)
| s_t(s(sK3,sK2),X0,sK2)
| ( s(sK3,sK2) = sK5 )
| ~ s_t(s(sK3,sK2),sK5,X0) ),
inference(superposition,[status(thm)],[c_11408,c_107]) ).
tcf(c_24231,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,X0,ext(sK4,sK3,X1,X2))
| s_t(sK0,ext(sK4,sK3,X1,X2),X0)
| ( sK3 = sK4 )
| ( sK0 = sK3 )
| ~ s_t(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_17754,c_107]) ).
tcf(c_24232,plain,
! [X0: $i] :
( s_t(sK0,X0,s(sK3,sK4))
| s_t(sK0,s(sK3,sK4),X0)
| ( sK3 = sK4 )
| ( sK0 = sK3 )
| ~ s_t(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_17759,c_107]) ).
tcf(c_24233,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,X0,ext(sK5,sK3,X1,X2))
| s_t(sK2,ext(sK5,sK3,X1,X2),X0)
| ( sK3 = sK5 )
| ( sK2 = sK3 )
| ~ s_t(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_17800,c_107]) ).
tcf(c_24234,plain,
! [X0: $i] :
( s_t(sK2,X0,s(sK3,sK5))
| s_t(sK2,s(sK3,sK5),X0)
| ( sK3 = sK5 )
| ( sK2 = sK3 )
| ~ s_t(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_17805,c_107]) ).
tcf(c_24235,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,X0,ext(sK4,sK3,X1,X2))
| s_t(sK0,ext(sK4,sK3,X1,X2),X0)
| ( sK3 = sK4 )
| ( sK0 = sK4 )
| ~ s_t(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_19840,c_107]) ).
tcf(c_24236,plain,
! [X0: $i] :
( s_t(sK0,X0,s(sK3,sK4))
| s_t(sK0,s(sK3,sK4),X0)
| ( sK3 = sK4 )
| ( sK0 = sK4 )
| ~ s_t(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_19845,c_107]) ).
tcf(c_24237,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,X0,ext(sK5,sK3,X1,X2))
| s_t(sK2,ext(sK5,sK3,X1,X2),X0)
| ( sK3 = sK5 )
| ( sK2 = sK5 )
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_19926,c_107]) ).
tcf(c_24238,plain,
! [X0: $i] :
( s_t(sK2,X0,s(sK3,sK5))
| s_t(sK2,s(sK3,sK5),X0)
| ( sK3 = sK5 )
| ( sK2 = sK5 )
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_19931,c_107]) ).
tcf(c_24239,plain,
! [X0: $i] :
( s_t(sK0,sK4,X0)
| s_t(sK0,X0,sK4)
| s_t(sK0,sK4,midpoint(sK0,sK3))
| ( midpoint(sK0,sK3) = sK0 )
| ~ s_t(sK0,midpoint(sK0,sK3),X0) ),
inference(superposition,[status(thm)],[c_19992,c_107]) ).
tcf(c_24240,plain,
! [X0: $i] :
( s_t(sK2,sK5,X0)
| s_t(sK2,X0,sK5)
| s_t(sK2,sK5,midpoint(sK2,sK3))
| ( midpoint(sK2,sK3) = sK2 )
| ~ s_t(sK2,midpoint(sK2,sK3),X0) ),
inference(superposition,[status(thm)],[c_20058,c_107]) ).
tcf(c_24705,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_24706,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_24707,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_24708,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_24710,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_24711,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_24712,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_24713,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_24714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X0)
| s_t(erectAux21a(X1,X2,X0),X3,erect21a(X1,X2,X0))
| s_t(erectAux21a(X1,X2,X0),erect21a(X1,X2,X0),X3)
| ( X1 = X2 )
| ( erectAux21a(X1,X2,X0) = X0 )
| ~ s_t(X0,erectAux21a(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_217,c_108]) ).
tcf(c_24715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(erectAux(X1,X2,X0),X3,erect(X1,X2,X0))
| s_t(erectAux(X1,X2,X0),erect(X1,X2,X0),X3)
| ( X1 = X2 )
| ( erectAux(X1,X2,X0) = X0 )
| ~ s_t(X0,erectAux(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_220,c_108]) ).
tcf(c_24716,plain,
! [X0: $i] :
( s_t(sK4,sK3,X0)
| s_t(sK4,X0,sK3)
| ( sK0 = sK4 )
| ~ s_t(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_5723,c_108]) ).
tcf(c_24717,plain,
! [X0: $i] :
( s_t(sK5,sK3,X0)
| s_t(sK5,X0,sK3)
| ( sK2 = sK5 )
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_5722,c_108]) ).
tcf(c_24718,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_259,c_108]) ).
tcf(c_24719,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(midpoint(X0,X1),X2,X1)
| s_t(midpoint(X0,X1),X1,X2)
| ( midpoint(X0,X1) = X0 )
| ~ s_t(X0,midpoint(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1750,c_108]) ).
tcf(c_24720,plain,
! [X0: $i] :
( s_t(iPr_def_10,sK5,X0)
| s_t(iPr_def_10,X0,sK5)
| ( sK0 = iPr_def_10 )
| ~ s_t(sK0,iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_8163,c_108]) ).
tcf(c_24721,plain,
! [X0: $i] :
( s_t(iPr_def_11,sK1,X0)
| s_t(iPr_def_11,X0,sK1)
| ( sK2 = iPr_def_11 )
| ~ s_t(sK2,iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_8165,c_108]) ).
tcf(c_24722,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_8175,c_108]) ).
tcf(c_24723,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_8180,c_108]) ).
tcf(c_24724,plain,
! [X0: $i] :
( s_t(sK4,sK0,X0)
| s_t(sK4,X0,sK0)
| ( sK3 = sK4 )
| ~ s_t(sK3,sK4,X0) ),
inference(superposition,[status(thm)],[c_8200,c_108]) ).
tcf(c_24725,plain,
! [X0: $i] :
( s_t(sK5,sK2,X0)
| s_t(sK5,X0,sK2)
| ( sK3 = sK5 )
| ~ s_t(sK3,sK5,X0) ),
inference(superposition,[status(thm)],[c_8201,c_108]) ).
tcf(c_24726,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(midpoint(X1,X0),X2,X1)
| s_t(midpoint(X1,X0),X1,X2)
| ( midpoint(X1,X0) = X0 )
| ~ s_t(X0,midpoint(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_8202,c_108]) ).
tcf(c_24727,plain,
! [X0: $i] :
( s_t(iPr_def_10,sK0,X0)
| s_t(iPr_def_10,X0,sK0)
| ( sK5 = iPr_def_10 )
| ~ s_t(sK5,iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_8203,c_108]) ).
tcf(c_24728,plain,
! [X0: $i] :
( s_t(iPr_def_11,sK2,X0)
| s_t(iPr_def_11,X0,sK2)
| ( sK1 = iPr_def_11 )
| ~ s_t(sK1,iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_8204,c_108]) ).
tcf(c_24729,plain,
! [X0: $i] :
( s_t(sK2,sK4,sK1)
| s_t(sK1,sK2,sK4)
| s_t(sK1,sK2,X0)
| s_t(sK1,X0,sK2)
| ( sK1 = sK4 )
| ~ s_t(sK4,sK1,X0) ),
inference(superposition,[status(thm)],[c_16412,c_108]) ).
tcf(c_24730,plain,
! [X0: $i] :
( s_t(sK2,sK1,sK4)
| s_t(sK1,sK4,sK2)
| s_t(sK2,sK1,X0)
| s_t(sK2,X0,sK1)
| ( sK2 = sK4 )
| ~ s_t(sK4,sK2,X0) ),
inference(superposition,[status(thm)],[c_16414,c_108]) ).
tcf(c_24731,plain,
! [X0: $i] :
( s_t(sK4,X0,midpoint(sK3,sK4))
| s_t(sK4,midpoint(sK3,sK4),X0)
| ( sK0 = sK4 )
| ~ s_t(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_10794,c_108]) ).
tcf(c_24732,plain,
! [X0: $i] :
( s_t(sK5,X0,midpoint(sK3,sK5))
| s_t(sK5,midpoint(sK3,sK5),X0)
| ( sK2 = sK5 )
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_10807,c_108]) ).
tcf(c_24733,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK3,X0,ext(sK0,sK3,X1,X2))
| s_t(sK3,ext(sK0,sK3,X1,X2),X0)
| ( sK3 = sK4 )
| ~ s_t(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_10812,c_108]) ).
tcf(c_24734,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,X0,c63(sK0,sK3,X1))
| s_t(sK3,c63(sK0,sK3,X1),X0)
| ( sK3 = sK4 )
| ~ sameside(sK0,sK3,X1)
| ~ s_t(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_10814,c_108]) ).
tcf(c_24735,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,X0,c63(X1,sK3,sK0))
| s_t(sK3,c63(X1,sK3,sK0),X0)
| ( sK3 = sK4 )
| ~ sameside(X1,sK3,sK0)
| ~ s_t(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_10815,c_108]) ).
tcf(c_24736,plain,
! [X0: $i] :
( s_t(sK3,X0,s(sK3,sK0))
| s_t(sK3,s(sK3,sK0),X0)
| ( sK3 = sK4 )
| ~ s_t(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_10816,c_108]) ).
tcf(c_24737,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK3,X0,ext(sK2,sK3,X1,X2))
| s_t(sK3,ext(sK2,sK3,X1,X2),X0)
| ( sK3 = sK5 )
| ~ s_t(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_10836,c_108]) ).
tcf(c_24738,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,X0,c63(sK2,sK3,X1))
| s_t(sK3,c63(sK2,sK3,X1),X0)
| ( sK3 = sK5 )
| ~ sameside(sK2,sK3,X1)
| ~ s_t(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_10838,c_108]) ).
tcf(c_24739,plain,
! [X0: $i,X1: $i] :
( s_t(sK3,X0,c63(X1,sK3,sK2))
| s_t(sK3,c63(X1,sK3,sK2),X0)
| ( sK3 = sK5 )
| ~ sameside(X1,sK3,sK2)
| ~ s_t(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_10839,c_108]) ).
tcf(c_24740,plain,
! [X0: $i] :
( s_t(sK3,X0,s(sK3,sK2))
| s_t(sK3,s(sK3,sK2),X0)
| ( sK3 = sK5 )
| ~ s_t(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_10840,c_108]) ).
tcf(c_24741,plain,
! [X0: $i] :
( s_t(midpoint(sK3,sK4),sK3,X0)
| s_t(midpoint(sK3,sK4),X0,sK3)
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_t(sK0,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_10855,c_108]) ).
tcf(c_24742,plain,
! [X0: $i] :
( s_t(midpoint(sK3,sK5),sK3,X0)
| s_t(midpoint(sK3,sK5),X0,sK3)
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_t(sK2,midpoint(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_10867,c_108]) ).
tcf(c_24743,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK4,X0,ext(sK0,sK3,X1,X2))
| s_t(sK4,ext(sK0,sK3,X1,X2),X0)
| ( sK0 = sK4 )
| ~ s_t(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_10872,c_108]) ).
tcf(c_24744,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,X0,c63(sK0,sK3,X1))
| s_t(sK4,c63(sK0,sK3,X1),X0)
| ( sK0 = sK4 )
| ~ sameside(sK0,sK3,X1)
| ~ s_t(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_10874,c_108]) ).
tcf(c_24745,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,X0,c63(X1,sK3,sK0))
| s_t(sK4,c63(X1,sK3,sK0),X0)
| ( sK0 = sK4 )
| ~ sameside(X1,sK3,sK0)
| ~ s_t(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_10875,c_108]) ).
tcf(c_24746,plain,
! [X0: $i] :
( s_t(sK4,X0,s(sK3,sK0))
| s_t(sK4,s(sK3,sK0),X0)
| ( sK0 = sK4 )
| ~ s_t(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_10876,c_108]) ).
tcf(c_24747,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK5,X0,ext(sK2,sK3,X1,X2))
| s_t(sK5,ext(sK2,sK3,X1,X2),X0)
| ( sK2 = sK5 )
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_10893,c_108]) ).
tcf(c_24748,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,X0,c63(sK2,sK3,X1))
| s_t(sK5,c63(sK2,sK3,X1),X0)
| ( sK2 = sK5 )
| ~ sameside(sK2,sK3,X1)
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_10895,c_108]) ).
tcf(c_24749,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,X0,c63(X1,sK3,sK2))
| s_t(sK5,c63(X1,sK3,sK2),X0)
| ( sK2 = sK5 )
| ~ sameside(X1,sK3,sK2)
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_10896,c_108]) ).
tcf(c_24750,plain,
! [X0: $i] :
( s_t(sK5,X0,s(sK3,sK2))
| s_t(sK5,s(sK3,sK2),X0)
| ( sK2 = sK5 )
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_10897,c_108]) ).
tcf(c_24751,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK4,X2,ins(X0,X1,sK0,sK3))
| s_t(sK4,ins(X0,X1,sK0,sK3),X2)
| ( sK0 = sK4 )
| ~ s_t(sK0,sK4,X2)
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_10944,c_108]) ).
tcf(c_24752,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK3,X2,ins(X0,X1,sK0,sK3))
| s_t(sK3,ins(X0,X1,sK0,sK3),X2)
| ( sK3 = sK4 )
| ~ s_t(sK4,sK3,X2)
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_10945,c_108]) ).
tcf(c_24753,plain,
! [X0: $i] :
( s_t(sK4,sK0,X0)
| s_t(sK4,X0,sK0)
| ( midpoint(sK3,sK4) = sK4 )
| ~ s_t(midpoint(sK3,sK4),sK4,X0) ),
inference(superposition,[status(thm)],[c_11193,c_108]) ).
tcf(c_24754,plain,
! [X0: $i] :
( s_t(sK5,sK2,X0)
| s_t(sK5,X0,sK2)
| ( midpoint(sK3,sK5) = sK5 )
| ~ s_t(midpoint(sK3,sK5),sK5,X0) ),
inference(superposition,[status(thm)],[c_11222,c_108]) ).
tcf(c_24755,plain,
! [X0: $i] :
( s_t(sK3,sK4,X0)
| s_t(sK3,X0,sK4)
| ( s(sK3,sK0) = sK3 )
| ~ s_t(s(sK3,sK0),sK3,X0) ),
inference(superposition,[status(thm)],[c_11254,c_108]) ).
tcf(c_24756,plain,
! [X0: $i] :
( s_t(sK3,sK5,X0)
| s_t(sK3,X0,sK5)
| ( s(sK3,sK2) = sK3 )
| ~ s_t(s(sK3,sK2),sK3,X0) ),
inference(superposition,[status(thm)],[c_11286,c_108]) ).
tcf(c_24757,plain,
! [X0: $i] :
( s_t(midpoint(sK3,sK4),sK0,X0)
| s_t(midpoint(sK3,sK4),X0,sK0)
| ( midpoint(sK3,sK4) = sK3 )
| ~ s_t(sK3,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_11315,c_108]) ).
tcf(c_24758,plain,
! [X0: $i] :
( s_t(midpoint(sK3,sK5),sK2,X0)
| s_t(midpoint(sK3,sK5),X0,sK2)
| ( midpoint(sK3,sK5) = sK3 )
| ~ s_t(sK3,midpoint(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_11348,c_108]) ).
tcf(c_24759,plain,
! [X0: $i] :
( s_t(sK4,sK0,X0)
| s_t(sK4,X0,sK0)
| ( s(sK3,sK0) = sK4 )
| ~ s_t(s(sK3,sK0),sK4,X0) ),
inference(superposition,[status(thm)],[c_11376,c_108]) ).
tcf(c_24760,plain,
! [X0: $i] :
( s_t(sK5,sK2,X0)
| s_t(sK5,X0,sK2)
| ( s(sK3,sK2) = sK5 )
| ~ s_t(s(sK3,sK2),sK5,X0) ),
inference(superposition,[status(thm)],[c_11408,c_108]) ).
tcf(c_24761,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK3,X0,ext(sK4,sK3,X1,X2))
| s_t(sK3,ext(sK4,sK3,X1,X2),X0)
| ( sK3 = sK4 )
| ( sK0 = sK3 )
| ~ s_t(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_17754,c_108]) ).
tcf(c_24762,plain,
! [X0: $i] :
( s_t(sK3,X0,s(sK3,sK4))
| s_t(sK3,s(sK3,sK4),X0)
| ( sK3 = sK4 )
| ( sK0 = sK3 )
| ~ s_t(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_17759,c_108]) ).
tcf(c_24763,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK3,X0,ext(sK5,sK3,X1,X2))
| s_t(sK3,ext(sK5,sK3,X1,X2),X0)
| ( sK3 = sK5 )
| ( sK2 = sK3 )
| ~ s_t(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_17800,c_108]) ).
tcf(c_24764,plain,
! [X0: $i] :
( s_t(sK3,X0,s(sK3,sK5))
| s_t(sK3,s(sK3,sK5),X0)
| ( sK3 = sK5 )
| ( sK2 = sK3 )
| ~ s_t(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_17805,c_108]) ).
tcf(c_24765,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK4,X0,ext(sK4,sK3,X1,X2))
| s_t(sK4,ext(sK4,sK3,X1,X2),X0)
| ( sK3 = sK4 )
| ( sK0 = sK4 )
| ~ s_t(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_19840,c_108]) ).
tcf(c_24766,plain,
! [X0: $i] :
( s_t(sK4,X0,s(sK3,sK4))
| s_t(sK4,s(sK3,sK4),X0)
| ( sK3 = sK4 )
| ( sK0 = sK4 )
| ~ s_t(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_19845,c_108]) ).
tcf(c_24767,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK5,X0,ext(sK5,sK3,X1,X2))
| s_t(sK5,ext(sK5,sK3,X1,X2),X0)
| ( sK3 = sK5 )
| ( sK2 = sK5 )
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_19926,c_108]) ).
tcf(c_24768,plain,
! [X0: $i] :
( s_t(sK5,X0,s(sK3,sK5))
| s_t(sK5,s(sK3,sK5),X0)
| ( sK3 = sK5 )
| ( sK2 = sK5 )
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_19931,c_108]) ).
tcf(c_24769,plain,
! [X0: $i] :
( s_t(sK0,sK4,midpoint(sK0,sK3))
| s_t(midpoint(sK0,sK3),sK4,X0)
| s_t(midpoint(sK0,sK3),X0,sK4)
| ( midpoint(sK0,sK3) = sK0 )
| ~ s_t(sK0,midpoint(sK0,sK3),X0) ),
inference(superposition,[status(thm)],[c_19992,c_108]) ).
tcf(c_24770,plain,
! [X0: $i] :
( s_t(sK2,sK5,midpoint(sK2,sK3))
| s_t(midpoint(sK2,sK3),sK5,X0)
| s_t(midpoint(sK2,sK3),X0,sK5)
| ( midpoint(sK2,sK3) = sK2 )
| ~ s_t(sK2,midpoint(sK2,sK3),X0) ),
inference(superposition,[status(thm)],[c_20058,c_108]) ).
tcf(c_25291,plain,
! [X0: $i] :
( s_t(sK4,X0,midpoint(sK0,sK4))
| s_t(sK4,midpoint(sK0,sK4),X0)
| ( sK3 = sK4 )
| ~ s_t(sK3,sK4,X0) ),
inference(superposition,[status(thm)],[c_12008,c_108]) ).
tcf(c_25292,plain,
! [X0: $i] :
( s_t(sK3,X0,midpoint(sK0,sK4))
| s_t(sK3,midpoint(sK0,sK4),X0)
| ( sK3 = sK4 )
| ~ s_t(sK3,sK4,X0) ),
inference(superposition,[status(thm)],[c_12008,c_107]) ).
tcf(c_25293,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ~ s_r(sK3,X0,sK4)
| ~ s_r(midpoint(sK0,sK4),X0,sK4) ),
inference(superposition,[status(thm)],[c_12008,c_184]) ).
tcf(c_25294,plain,
! [X0: $i] :
( s_t(sK3,sK4,X0)
| s_t(sK3,X0,sK4)
| ~ s_t(sK3,X0,midpoint(sK0,sK4)) ),
inference(superposition,[status(thm)],[c_12008,c_109]) ).
tcf(c_25295,plain,
! [X0: $i] :
( s_t(sK3,sK4,X0)
| ( midpoint(sK0,sK4) = sK4 )
| ~ s_t(sK4,midpoint(sK0,sK4),X0) ),
inference(superposition,[status(thm)],[c_12008,c_81]) ).
tcf(c_25296,plain,
! [X0: $i] :
( s_t(sK3,midpoint(sK0,sK4),X0)
| ( midpoint(sK0,sK4) = sK4 )
| ~ s_t(sK4,midpoint(sK0,sK4),X0) ),
inference(superposition,[status(thm)],[c_12008,c_78]) ).
tcf(c_25297,plain,
( sameside(midpoint(sK0,sK4),sK3,sK4)
| ( sK3 = sK4 )
| ( midpoint(sK0,sK4) = sK3 ) ),
inference(superposition,[status(thm)],[c_12008,c_266]) ).
tcf(c_25298,plain,
( sameside(sK4,sK3,midpoint(sK0,sK4))
| ( sK3 = xb )
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_12008,c_265]) ).
tcf(c_25299,plain,
! [X0: $i] :
( s_t(sK3,sK4,X0)
| ~ s_t(sK3,midpoint(sK0,sK4),X0) ),
inference(superposition,[status(thm)],[c_12008,c_80]) ).
tcf(c_25300,plain,
! [X0: $i] :
( s_t(sK3,X0,midpoint(sK0,sK4))
| ~ s_t(sK4,X0,midpoint(sK0,sK4)) ),
inference(superposition,[status(thm)],[c_12008,c_79]) ).
tcf(c_25301,plain,
! [X0: $i] :
( s_t(sK4,midpoint(sK0,sK4),X0)
| ~ s_t(sK3,midpoint(sK0,sK4),X0) ),
inference(superposition,[status(thm)],[c_12008,c_77]) ).
tcf(c_25302,plain,
! [X0: $i] :
( s_t(sK3,sK4,X0)
| ~ s_t(sK4,X0,midpoint(sK0,sK4)) ),
inference(superposition,[status(thm)],[c_12008,c_76]) ).
tcf(c_25303,plain,
( ( sK3 = sK4 )
| ~ s_t(sK4,sK3,midpoint(sK0,sK4)) ),
inference(superposition,[status(thm)],[c_12008,c_75]) ).
tcf(c_25304,plain,
~ sameside(sK3,sK4,midpoint(sK0,sK4)),
inference(superposition,[status(thm)],[c_12008,c_133]) ).
tcf(c_25305,plain,
s_col(sK4,midpoint(sK0,sK4),sK3),
inference(superposition,[status(thm)],[c_12008,c_253]) ).
tcf(c_25306,plain,
s_col(midpoint(sK0,sK4),sK3,sK4),
inference(superposition,[status(thm)],[c_12008,c_252]) ).
tcf(c_25307,plain,
s_col(sK3,sK4,midpoint(sK0,sK4)),
inference(superposition,[status(thm)],[c_12008,c_251]) ).
tcf(c_25308,plain,
s_t(midpoint(sK0,sK4),sK4,sK3),
inference(superposition,[status(thm)],[c_12008,c_73]) ).
tcf(c_25379,plain,
! [X0: $i] :
( s_t(sK5,X0,midpoint(sK2,sK5))
| s_t(sK5,midpoint(sK2,sK5),X0)
| ( sK3 = sK5 )
| ~ s_t(sK3,sK5,X0) ),
inference(superposition,[status(thm)],[c_12016,c_108]) ).
tcf(c_25380,plain,
! [X0: $i] :
( s_t(sK3,X0,midpoint(sK2,sK5))
| s_t(sK3,midpoint(sK2,sK5),X0)
| ( sK3 = sK5 )
| ~ s_t(sK3,sK5,X0) ),
inference(superposition,[status(thm)],[c_12016,c_107]) ).
tcf(c_25381,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ~ s_r(sK3,X0,sK5)
| ~ s_r(midpoint(sK2,sK5),X0,sK5) ),
inference(superposition,[status(thm)],[c_12016,c_184]) ).
tcf(c_25382,plain,
! [X0: $i] :
( s_t(sK3,sK5,X0)
| s_t(sK3,X0,sK5)
| ~ s_t(sK3,X0,midpoint(sK2,sK5)) ),
inference(superposition,[status(thm)],[c_12016,c_109]) ).
tcf(c_25383,plain,
! [X0: $i] :
( s_t(sK3,sK5,X0)
| ( midpoint(sK2,sK5) = sK5 )
| ~ s_t(sK5,midpoint(sK2,sK5),X0) ),
inference(superposition,[status(thm)],[c_12016,c_81]) ).
tcf(c_25384,plain,
! [X0: $i] :
( s_t(sK3,midpoint(sK2,sK5),X0)
| ( midpoint(sK2,sK5) = sK5 )
| ~ s_t(sK5,midpoint(sK2,sK5),X0) ),
inference(superposition,[status(thm)],[c_12016,c_78]) ).
tcf(c_25385,plain,
( sameside(midpoint(sK2,sK5),sK3,sK5)
| ( sK3 = sK5 )
| ( midpoint(sK2,sK5) = sK3 ) ),
inference(superposition,[status(thm)],[c_12016,c_266]) ).
tcf(c_25386,plain,
( sameside(sK5,sK3,midpoint(sK2,sK5))
| ( sK3 = xb )
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_12016,c_265]) ).
tcf(c_25387,plain,
! [X0: $i] :
( s_t(sK3,sK5,X0)
| ~ s_t(sK3,midpoint(sK2,sK5),X0) ),
inference(superposition,[status(thm)],[c_12016,c_80]) ).
tcf(c_25388,plain,
! [X0: $i] :
( s_t(sK3,X0,midpoint(sK2,sK5))
| ~ s_t(sK5,X0,midpoint(sK2,sK5)) ),
inference(superposition,[status(thm)],[c_12016,c_79]) ).
tcf(c_25389,plain,
! [X0: $i] :
( s_t(sK5,midpoint(sK2,sK5),X0)
| ~ s_t(sK3,midpoint(sK2,sK5),X0) ),
inference(superposition,[status(thm)],[c_12016,c_77]) ).
tcf(c_25390,plain,
! [X0: $i] :
( s_t(sK3,sK5,X0)
| ~ s_t(sK5,X0,midpoint(sK2,sK5)) ),
inference(superposition,[status(thm)],[c_12016,c_76]) ).
tcf(c_25391,plain,
( ( sK3 = sK5 )
| ~ s_t(sK5,sK3,midpoint(sK2,sK5)) ),
inference(superposition,[status(thm)],[c_12016,c_75]) ).
tcf(c_25392,plain,
~ sameside(sK3,sK5,midpoint(sK2,sK5)),
inference(superposition,[status(thm)],[c_12016,c_133]) ).
tcf(c_25393,plain,
s_col(sK5,midpoint(sK2,sK5),sK3),
inference(superposition,[status(thm)],[c_12016,c_253]) ).
tcf(c_25394,plain,
s_col(midpoint(sK2,sK5),sK3,sK5),
inference(superposition,[status(thm)],[c_12016,c_252]) ).
tcf(c_25395,plain,
s_col(sK3,sK5,midpoint(sK2,sK5)),
inference(superposition,[status(thm)],[c_12016,c_251]) ).
tcf(c_25396,plain,
s_t(midpoint(sK2,sK5),sK5,sK3),
inference(superposition,[status(thm)],[c_12016,c_73]) ).
tcf(c_25504,plain,
! [X0: $i] :
( s_t(sK0,X0,s(sK0,sK3))
| s_t(sK0,s(sK0,sK3),X0)
| ( sK0 = sK4 )
| ~ s_t(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_12035,c_108]) ).
tcf(c_25505,plain,
! [X0: $i] :
( s_t(sK4,X0,s(sK0,sK3))
| s_t(sK4,s(sK0,sK3),X0)
| ( sK0 = sK4 )
| ~ s_t(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_12035,c_107]) ).
tcf(c_25506,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ~ s_r(sK4,X0,sK0)
| ~ s_r(s(sK0,sK3),X0,sK0) ),
inference(superposition,[status(thm)],[c_12035,c_184]) ).
tcf(c_25507,plain,
! [X0: $i] :
( s_t(sK4,sK0,X0)
| s_t(sK4,X0,sK0)
| ~ s_t(sK4,X0,s(sK0,sK3)) ),
inference(superposition,[status(thm)],[c_12035,c_109]) ).
tcf(c_25508,plain,
! [X0: $i] :
( s_t(sK4,sK0,X0)
| ( s(sK0,sK3) = sK0 )
| ~ s_t(sK0,s(sK0,sK3),X0) ),
inference(superposition,[status(thm)],[c_12035,c_81]) ).
tcf(c_25509,plain,
! [X0: $i] :
( s_t(sK4,s(sK0,sK3),X0)
| ( s(sK0,sK3) = sK0 )
| ~ s_t(sK0,s(sK0,sK3),X0) ),
inference(superposition,[status(thm)],[c_12035,c_78]) ).
tcf(c_25510,plain,
( sameside(s(sK0,sK3),sK4,sK0)
| ( sK0 = sK4 )
| ( s(sK0,sK3) = sK4 ) ),
inference(superposition,[status(thm)],[c_12035,c_266]) ).
tcf(c_25511,plain,
( sameside(sK0,sK4,s(sK0,sK3))
| ( sK4 = xb )
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_12035,c_265]) ).
tcf(c_25512,plain,
! [X0: $i] :
( s_t(sK4,sK0,X0)
| ~ s_t(sK4,s(sK0,sK3),X0) ),
inference(superposition,[status(thm)],[c_12035,c_80]) ).
tcf(c_25513,plain,
! [X0: $i] :
( s_t(sK4,X0,s(sK0,sK3))
| ~ s_t(sK0,X0,s(sK0,sK3)) ),
inference(superposition,[status(thm)],[c_12035,c_79]) ).
tcf(c_25514,plain,
! [X0: $i] :
( s_t(sK0,s(sK0,sK3),X0)
| ~ s_t(sK4,s(sK0,sK3),X0) ),
inference(superposition,[status(thm)],[c_12035,c_77]) ).
tcf(c_25515,plain,
! [X0: $i] :
( s_t(sK4,sK0,X0)
| ~ s_t(sK0,X0,s(sK0,sK3)) ),
inference(superposition,[status(thm)],[c_12035,c_76]) ).
tcf(c_25516,plain,
( ( sK0 = sK4 )
| ~ s_t(sK0,sK4,s(sK0,sK3)) ),
inference(superposition,[status(thm)],[c_12035,c_75]) ).
tcf(c_25517,plain,
~ sameside(sK4,sK0,s(sK0,sK3)),
inference(superposition,[status(thm)],[c_12035,c_133]) ).
tcf(c_25518,plain,
s_col(sK0,s(sK0,sK3),sK4),
inference(superposition,[status(thm)],[c_12035,c_253]) ).
tcf(c_25519,plain,
s_col(s(sK0,sK3),sK4,sK0),
inference(superposition,[status(thm)],[c_12035,c_252]) ).
tcf(c_25520,plain,
s_col(sK4,sK0,s(sK0,sK3)),
inference(superposition,[status(thm)],[c_12035,c_251]) ).
tcf(c_25521,plain,
s_t(s(sK0,sK3),sK0,sK4),
inference(superposition,[status(thm)],[c_12035,c_73]) ).
tcf(c_25523,plain,
( s_t(sK3,sK0,s(sK0,sK3))
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_12035,c_17121]) ).
tcf(c_25611,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK3,ext(sK0,sK4,X0,X1))
| s_t(sK0,ext(sK0,sK4,X0,X1),sK3)
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_52,c_24186]) ).
tcf(c_25613,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK3,ins(X0,X1,sK0,sK4))
| s_t(sK0,ins(X0,X1,sK0,sK4),sK3)
| ( sK0 = sK4 )
| ~ le(sK0,sK4,X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_24186]) ).
tcf(c_25614,plain,
! [X0: $i] :
( s_t(sK0,sK3,c63(sK0,sK4,X0))
| s_t(sK0,c63(sK0,sK4,X0),sK3)
| ( sK0 = sK4 )
| ~ sameside(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_129,c_24186]) ).
tcf(c_25615,plain,
! [X0: $i] :
( s_t(sK0,sK3,c63(X0,sK4,sK0))
| s_t(sK0,c63(X0,sK4,sK0),sK3)
| ( sK0 = sK4 )
| ~ sameside(X0,sK4,sK0) ),
inference(superposition,[status(thm)],[c_130,c_24186]) ).
tcf(c_25616,plain,
( s_t(sK0,sK3,sK3)
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_5723,c_24186]) ).
tcf(c_25617,plain,
( s_t(sK0,sK3,s(sK4,sK0))
| s_t(sK0,s(sK4,sK0),sK3)
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_8175,c_24186]) ).
tcf(c_25619,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK3,ext(sK0,sK3,X0,X1))
| s_t(sK0,ext(sK0,sK3,X0,X1),sK3)
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_10872,c_24186]) ).
tcf(c_25620,plain,
! [X0: $i] :
( s_t(sK0,sK3,c63(sK0,sK3,X0))
| s_t(sK0,c63(sK0,sK3,X0),sK3)
| ( sK0 = sK4 )
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_10874,c_24186]) ).
tcf(c_25621,plain,
! [X0: $i] :
( s_t(sK0,sK3,c63(X0,sK3,sK0))
| s_t(sK0,c63(X0,sK3,sK0),sK3)
| ( sK0 = sK4 )
| ~ sameside(X0,sK3,sK0) ),
inference(superposition,[status(thm)],[c_10875,c_24186]) ).
tcf(c_25622,plain,
( s_t(sK0,sK3,s(sK3,sK0))
| s_t(sK0,s(sK3,sK0),sK3)
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_10876,c_24186]) ).
tcf(c_25623,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK3,ins(X0,X1,sK0,sK3))
| s_t(sK0,ins(X0,X1,sK0,sK3),sK3)
| ( sK0 = sK4 )
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_10944,c_24186]) ).
tcf(c_25624,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,sK3,ext(sK4,sK3,X0,X1))
| s_t(sK0,ext(sK4,sK3,X0,X1),sK3)
| ( sK3 = sK4 )
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_19840,c_24186]) ).
tcf(c_25625,plain,
( s_t(sK0,sK3,s(sK3,sK4))
| s_t(sK0,s(sK3,sK4),sK3)
| ( sK3 = sK4 )
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_19845,c_24186]) ).
tcf(c_25696,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK3,ext(sK2,sK5,X0,X1))
| s_t(sK2,ext(sK2,sK5,X0,X1),sK3)
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_52,c_24187]) ).
tcf(c_25698,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK3,ins(X0,X1,sK2,sK5))
| s_t(sK2,ins(X0,X1,sK2,sK5),sK3)
| ( sK2 = sK5 )
| ~ le(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_24187]) ).
tcf(c_25699,plain,
! [X0: $i] :
( s_t(sK2,sK3,c63(sK2,sK5,X0))
| s_t(sK2,c63(sK2,sK5,X0),sK3)
| ( sK2 = sK5 )
| ~ sameside(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_129,c_24187]) ).
tcf(c_25700,plain,
! [X0: $i] :
( s_t(sK2,sK3,c63(X0,sK5,sK2))
| s_t(sK2,c63(X0,sK5,sK2),sK3)
| ( sK2 = sK5 )
| ~ sameside(X0,sK5,sK2) ),
inference(superposition,[status(thm)],[c_130,c_24187]) ).
tcf(c_25701,plain,
( s_t(sK2,sK3,sK3)
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_5722,c_24187]) ).
tcf(c_25702,plain,
( s_t(sK2,sK3,s(sK5,sK2))
| s_t(sK2,s(sK5,sK2),sK3)
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_8175,c_24187]) ).
tcf(c_25704,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK3,ext(sK2,sK3,X0,X1))
| s_t(sK2,ext(sK2,sK3,X0,X1),sK3)
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_10893,c_24187]) ).
tcf(c_25705,plain,
! [X0: $i] :
( s_t(sK2,sK3,c63(sK2,sK3,X0))
| s_t(sK2,c63(sK2,sK3,X0),sK3)
| ( sK2 = sK5 )
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_10895,c_24187]) ).
tcf(c_25706,plain,
! [X0: $i] :
( s_t(sK2,sK3,c63(X0,sK3,sK2))
| s_t(sK2,c63(X0,sK3,sK2),sK3)
| ( sK2 = sK5 )
| ~ sameside(X0,sK3,sK2) ),
inference(superposition,[status(thm)],[c_10896,c_24187]) ).
tcf(c_25707,plain,
( s_t(sK2,sK3,s(sK3,sK2))
| s_t(sK2,s(sK3,sK2),sK3)
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_10897,c_24187]) ).
tcf(c_25708,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK3,ext(sK5,sK3,X0,X1))
| s_t(sK2,ext(sK5,sK3,X0,X1),sK3)
| ( sK3 = sK5 )
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_19926,c_24187]) ).
tcf(c_25709,plain,
( s_t(sK2,sK3,s(sK3,sK5))
| s_t(sK2,s(sK3,sK5),sK3)
| ( sK3 = sK5 )
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_19931,c_24187]) ).
tcf(c_25779,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,sK3,ext(sK0,sK4,X0,X1))
| s_t(sK4,ext(sK0,sK4,X0,X1),sK3)
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_52,c_24716]) ).
tcf(c_25780,plain,
( s_t(sK4,sK4,sK3)
| s_t(sK4,sK3,sK4)
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_72,c_24716]) ).
tcf(c_25781,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,sK3,ins(X0,X1,sK0,sK4))
| s_t(sK4,ins(X0,X1,sK0,sK4),sK3)
| ( sK0 = sK4 )
| ~ le(sK0,sK4,X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_24716]) ).
tcf(c_25782,plain,
! [X0: $i] :
( s_t(sK4,sK3,c63(sK0,sK4,X0))
| s_t(sK4,c63(sK0,sK4,X0),sK3)
| ( sK0 = sK4 )
| ~ sameside(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_129,c_24716]) ).
tcf(c_25783,plain,
! [X0: $i] :
( s_t(sK4,sK3,c63(X0,sK4,sK0))
| s_t(sK4,c63(X0,sK4,sK0),sK3)
| ( sK0 = sK4 )
| ~ sameside(X0,sK4,sK0) ),
inference(superposition,[status(thm)],[c_130,c_24716]) ).
tcf(c_25784,plain,
( s_t(sK4,sK3,sK3)
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_5723,c_24716]) ).
tcf(c_25785,plain,
( s_t(sK4,sK3,s(sK4,sK0))
| s_t(sK4,s(sK4,sK0),sK3)
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_8175,c_24716]) ).
tcf(c_25786,plain,
( s_t(sK4,sK3,midpoint(sK3,sK4))
| s_t(sK4,midpoint(sK3,sK4),sK3)
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_10794,c_24716]) ).
tcf(c_25788,plain,
! [X0: $i] :
( s_t(sK4,sK3,c63(sK0,sK3,X0))
| s_t(sK4,c63(sK0,sK3,X0),sK3)
| ( sK0 = sK4 )
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_10874,c_24716]) ).
tcf(c_25789,plain,
! [X0: $i] :
( s_t(sK4,sK3,c63(X0,sK3,sK0))
| s_t(sK4,c63(X0,sK3,sK0),sK3)
| ( sK0 = sK4 )
| ~ sameside(X0,sK3,sK0) ),
inference(superposition,[status(thm)],[c_10875,c_24716]) ).
tcf(c_25791,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,sK3,ins(X0,X1,sK0,sK3))
| s_t(sK4,ins(X0,X1,sK0,sK3),sK3)
| ( sK0 = sK4 )
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_10944,c_24716]) ).
tcf(c_25792,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,sK3,ext(sK4,sK3,X0,X1))
| s_t(sK4,ext(sK4,sK3,X0,X1),sK3)
| ( sK3 = sK4 )
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_19840,c_24716]) ).
tcf(c_25793,plain,
( s_t(sK4,sK3,s(sK3,sK4))
| s_t(sK4,s(sK3,sK4),sK3)
| ( sK3 = sK4 )
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_19845,c_24716]) ).
tcf(c_25846,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,sK3,ext(sK2,sK5,X0,X1))
| s_t(sK5,ext(sK2,sK5,X0,X1),sK3)
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_52,c_24717]) ).
tcf(c_25847,plain,
( s_t(sK5,sK5,sK3)
| s_t(sK5,sK3,sK5)
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_72,c_24717]) ).
tcf(c_25848,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,sK3,ins(X0,X1,sK2,sK5))
| s_t(sK5,ins(X0,X1,sK2,sK5),sK3)
| ( sK2 = sK5 )
| ~ le(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_110,c_24717]) ).
tcf(c_25849,plain,
! [X0: $i] :
( s_t(sK5,sK3,c63(sK2,sK5,X0))
| s_t(sK5,c63(sK2,sK5,X0),sK3)
| ( sK2 = sK5 )
| ~ sameside(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_129,c_24717]) ).
tcf(c_25850,plain,
! [X0: $i] :
( s_t(sK5,sK3,c63(X0,sK5,sK2))
| s_t(sK5,c63(X0,sK5,sK2),sK3)
| ( sK2 = sK5 )
| ~ sameside(X0,sK5,sK2) ),
inference(superposition,[status(thm)],[c_130,c_24717]) ).
tcf(c_25851,plain,
( s_t(sK5,sK3,sK3)
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_5722,c_24717]) ).
tcf(c_25852,plain,
( s_t(sK5,sK3,s(sK5,sK2))
| s_t(sK5,s(sK5,sK2),sK3)
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_8175,c_24717]) ).
tcf(c_25853,plain,
( s_t(sK5,sK3,midpoint(sK3,sK5))
| s_t(sK5,midpoint(sK3,sK5),sK3)
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_10807,c_24717]) ).
tcf(c_25855,plain,
! [X0: $i] :
( s_t(sK5,sK3,c63(sK2,sK3,X0))
| s_t(sK5,c63(sK2,sK3,X0),sK3)
| ( sK2 = sK5 )
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_10895,c_24717]) ).
tcf(c_25856,plain,
! [X0: $i] :
( s_t(sK5,sK3,c63(X0,sK3,sK2))
| s_t(sK5,c63(X0,sK3,sK2),sK3)
| ( sK2 = sK5 )
| ~ sameside(X0,sK3,sK2) ),
inference(superposition,[status(thm)],[c_10896,c_24717]) ).
tcf(c_25858,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,sK3,ext(sK5,sK3,X0,X1))
| s_t(sK5,ext(sK5,sK3,X0,X1),sK3)
| ( sK3 = sK5 )
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_19926,c_24717]) ).
tcf(c_25859,plain,
( s_t(sK5,sK3,s(sK3,sK5))
| s_t(sK5,s(sK3,sK5),sK3)
| ( sK3 = sK5 )
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_19931,c_24717]) ).
tcf(c_25913,plain,
! [X0: $i] :
( s_r(sK1,sK2,s(sK2,X0))
| ( sK2 = sK4 )
| ~ s_r(sK4,sK2,X0) ),
inference(superposition,[status(thm)],[c_182,c_18785]) ).
tcf(c_25914,plain,
( s_r(sK1,sK2,sK2)
| ( sK2 = sK4 ) ),
inference(superposition,[status(thm)],[c_183,c_18785]) ).
tcf(c_25925,plain,
! [X0: $i] :
( s_r(sK2,sK4,s(sK4,X0))
| ( sK1 = sK4 )
| ~ s_r(sK1,sK4,X0) ),
inference(superposition,[status(thm)],[c_182,c_18786]) ).
tcf(c_25926,plain,
( s_r(sK2,sK4,sK4)
| ( sK1 = sK4 ) ),
inference(superposition,[status(thm)],[c_183,c_18786]) ).
tcf(c_25937,plain,
! [X0: $i] :
( s_r(sK1,sK4,s(sK4,X0))
| ( sK2 = sK4 )
| ~ s_r(sK2,sK4,X0) ),
inference(superposition,[status(thm)],[c_182,c_18787]) ).
tcf(c_25938,plain,
( s_r(sK1,sK4,sK4)
| ( sK2 = sK4 ) ),
inference(superposition,[status(thm)],[c_183,c_18787]) ).
tcf(c_25949,plain,
! [X0: $i] :
( s_r(sK4,sK2,s(sK2,X0))
| ( sK1 = sK2 )
| ~ s_r(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_182,c_18788]) ).
tcf(c_25950,plain,
( s_r(sK4,sK2,sK2)
| ( sK1 = sK2 ) ),
inference(superposition,[status(thm)],[c_183,c_18788]) ).
tcf(c_25955,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_8880,c_63]) ).
tcf(c_25956,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_8880,c_50]) ).
tcf(c_25957,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_8880,c_261]) ).
tcf(c_25958,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_8880,c_113]) ).
tcf(c_25964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_t(midpoint(X0,X4),X1,midpoint(ext(X2,X1,X3,X1),X3))
| ~ s_t(X4,X1,X3)
| ~ s_e(X1,X0,X1,X4)
| ~ s_t(X0,X1,ext(X2,X1,X3,X1)) ),
inference(superposition,[status(thm)],[c_8880,c_2699]) ).
tcf(c_25965,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_8880,c_106]) ).
tcf(c_25966,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_8880,c_122]) ).
tcf(c_25994,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_25995,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_25996,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_25999,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_26000,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_26001,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_26002,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_26003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| s_col(X0,erectAux21a(X1,X2,X3),X3)
| ( X1 = X2 )
| ( erectAux21a(X1,X2,X3) = X3 )
| ( erect21a(X1,X2,X3) = erectAux21a(X1,X2,X3) )
| ~ sameside(X0,erectAux21a(X1,X2,X3),erect21a(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_217,c_145]) ).
tcf(c_26004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,erectAux(X1,X2,X3),X3)
| ( X1 = X2 )
| ( erectAux(X1,X2,X3) = X3 )
| ( erect(X1,X2,X3) = erectAux(X1,X2,X3) )
| ~ sameside(X0,erectAux(X1,X2,X3),erect(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_220,c_145]) ).
tcf(c_26005,plain,
! [X0: $i] :
( s_col(X0,sK4,sK0)
| ( sK3 = sK4 )
| ( sK0 = sK4 )
| ~ sameside(X0,sK4,sK3) ),
inference(superposition,[status(thm)],[c_5723,c_145]) ).
tcf(c_26006,plain,
! [X0: $i] :
( s_col(X0,sK5,sK2)
| ( sK3 = sK5 )
| ( sK2 = sK5 )
| ~ sameside(X0,sK5,sK3) ),
inference(superposition,[status(thm)],[c_5722,c_145]) ).
tcf(c_26007,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_259,c_145]) ).
tcf(c_26008,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,midpoint(X1,X2),X1)
| ( midpoint(X1,X2) = X2 )
| ( midpoint(X1,X2) = X1 )
| ~ sameside(X0,midpoint(X1,X2),X2) ),
inference(superposition,[status(thm)],[c_1750,c_145]) ).
tcf(c_26009,plain,
! [X0: $i] :
( s_col(X0,iPr_def_10,sK0)
| ( sK5 = iPr_def_10 )
| ( sK0 = iPr_def_10 )
| ~ sameside(X0,iPr_def_10,sK5) ),
inference(superposition,[status(thm)],[c_8163,c_145]) ).
tcf(c_26010,plain,
! [X0: $i] :
( s_col(X0,iPr_def_11,sK2)
| ( sK2 = iPr_def_11 )
| ( sK1 = iPr_def_11 )
| ~ sameside(X0,iPr_def_11,sK1) ),
inference(superposition,[status(thm)],[c_8165,c_145]) ).
tcf(c_26011,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_8175,c_145]) ).
tcf(c_26012,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_8180,c_145]) ).
tcf(c_26013,plain,
! [X0: $i] :
( s_col(X0,sK4,sK3)
| ( sK3 = sK4 )
| ( sK0 = sK4 )
| ~ sameside(X0,sK4,sK0) ),
inference(superposition,[status(thm)],[c_8200,c_145]) ).
tcf(c_26014,plain,
! [X0: $i] :
( s_col(X0,sK5,sK3)
| ( sK3 = sK5 )
| ( sK2 = sK5 )
| ~ sameside(X0,sK5,sK2) ),
inference(superposition,[status(thm)],[c_8201,c_145]) ).
tcf(c_26015,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,midpoint(X1,X2),X2)
| ( midpoint(X1,X2) = X2 )
| ( midpoint(X1,X2) = X1 )
| ~ sameside(X0,midpoint(X1,X2),X1) ),
inference(superposition,[status(thm)],[c_8202,c_145]) ).
tcf(c_26016,plain,
! [X0: $i] :
( s_col(X0,iPr_def_10,sK5)
| ( sK5 = iPr_def_10 )
| ( sK0 = iPr_def_10 )
| ~ sameside(X0,iPr_def_10,sK0) ),
inference(superposition,[status(thm)],[c_8203,c_145]) ).
tcf(c_26017,plain,
! [X0: $i] :
( s_col(X0,iPr_def_11,sK1)
| ( sK2 = iPr_def_11 )
| ( sK1 = iPr_def_11 )
| ~ sameside(X0,iPr_def_11,sK2) ),
inference(superposition,[status(thm)],[c_8204,c_145]) ).
tcf(c_26018,plain,
! [X0: $i] :
( s_t(sK2,sK4,sK1)
| s_t(sK1,sK2,sK4)
| s_col(X0,sK1,sK4)
| ( sK1 = sK4 )
| ( sK1 = sK2 )
| ~ sameside(X0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_16412,c_145]) ).
tcf(c_26019,plain,
! [X0: $i] :
( s_t(sK2,sK1,sK4)
| s_t(sK1,sK4,sK2)
| s_col(X0,sK2,sK4)
| ( sK2 = sK4 )
| ( sK1 = sK2 )
| ~ sameside(X0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_16414,c_145]) ).
tcf(c_26020,plain,
! [X0: $i] :
( s_col(X0,sK4,sK0)
| ( sK0 = sK4 )
| ( midpoint(sK3,sK4) = sK4 )
| ~ sameside(X0,sK4,midpoint(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_10794,c_145]) ).
tcf(c_26021,plain,
! [X0: $i] :
( s_col(X0,sK5,sK2)
| ( sK2 = sK5 )
| ( midpoint(sK3,sK5) = sK5 )
| ~ sameside(X0,sK5,midpoint(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_10807,c_145]) ).
tcf(c_26022,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,sK3,sK4)
| ( sK3 = sK4 )
| ( ext(sK0,sK3,X1,X2) = sK3 )
| ~ sameside(X0,sK3,ext(sK0,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10812,c_145]) ).
tcf(c_26023,plain,
! [X0: $i,X1: $i] :
( s_col(X0,sK3,sK4)
| ( sK3 = sK4 )
| ( c63(sK0,sK3,X1) = sK3 )
| ~ sameside(sK0,sK3,X1)
| ~ sameside(X0,sK3,c63(sK0,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10814,c_145]) ).
tcf(c_26024,plain,
! [X0: $i,X1: $i] :
( s_col(X0,sK3,sK4)
| ( sK3 = sK4 )
| ( c63(X1,sK3,sK0) = sK3 )
| ~ sameside(X1,sK3,sK0)
| ~ sameside(X0,sK3,c63(X1,sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10815,c_145]) ).
tcf(c_26025,plain,
! [X0: $i] :
( s_col(X0,sK3,sK4)
| ( sK3 = sK4 )
| ( s(sK3,sK0) = sK3 )
| ~ sameside(X0,sK3,s(sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10816,c_145]) ).
tcf(c_26026,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,sK3,sK5)
| ( sK3 = sK5 )
| ( ext(sK2,sK3,X1,X2) = sK3 )
| ~ sameside(X0,sK3,ext(sK2,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10836,c_145]) ).
tcf(c_26027,plain,
! [X0: $i,X1: $i] :
( s_col(X0,sK3,sK5)
| ( sK3 = sK5 )
| ( c63(sK2,sK3,X1) = sK3 )
| ~ sameside(sK2,sK3,X1)
| ~ sameside(X0,sK3,c63(sK2,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10838,c_145]) ).
tcf(c_26028,plain,
! [X0: $i,X1: $i] :
( s_col(X0,sK3,sK5)
| ( sK3 = sK5 )
| ( c63(X1,sK3,sK2) = sK3 )
| ~ sameside(X1,sK3,sK2)
| ~ sameside(X0,sK3,c63(X1,sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10839,c_145]) ).
tcf(c_26029,plain,
! [X0: $i] :
( s_col(X0,sK3,sK5)
| ( sK3 = sK5 )
| ( s(sK3,sK2) = sK3 )
| ~ sameside(X0,sK3,s(sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10840,c_145]) ).
tcf(c_26030,plain,
! [X0: $i] :
( s_col(X0,midpoint(sK3,sK4),sK0)
| ( midpoint(sK3,sK4) = sK3 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ sameside(X0,midpoint(sK3,sK4),sK3) ),
inference(superposition,[status(thm)],[c_10855,c_145]) ).
tcf(c_26031,plain,
! [X0: $i] :
( s_col(X0,midpoint(sK3,sK5),sK2)
| ( midpoint(sK3,sK5) = sK3 )
| ( midpoint(sK3,sK5) = sK2 )
| ~ sameside(X0,midpoint(sK3,sK5),sK3) ),
inference(superposition,[status(thm)],[c_10867,c_145]) ).
tcf(c_26032,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,sK4,sK0)
| ( sK0 = sK4 )
| ( ext(sK0,sK3,X1,X2) = sK4 )
| ~ sameside(X0,sK4,ext(sK0,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10872,c_145]) ).
tcf(c_26033,plain,
! [X0: $i,X1: $i] :
( s_col(X0,sK4,sK0)
| ( sK0 = sK4 )
| ( c63(sK0,sK3,X1) = sK4 )
| ~ sameside(sK0,sK3,X1)
| ~ sameside(X0,sK4,c63(sK0,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10874,c_145]) ).
tcf(c_26034,plain,
! [X0: $i,X1: $i] :
( s_col(X0,sK4,sK0)
| ( sK0 = sK4 )
| ( c63(X1,sK3,sK0) = sK4 )
| ~ sameside(X1,sK3,sK0)
| ~ sameside(X0,sK4,c63(X1,sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10875,c_145]) ).
tcf(c_26035,plain,
! [X0: $i] :
( s_col(X0,sK4,sK0)
| ( sK0 = sK4 )
| ( s(sK3,sK0) = sK4 )
| ~ sameside(X0,sK4,s(sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10876,c_145]) ).
tcf(c_26036,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,sK5,sK2)
| ( sK2 = sK5 )
| ( ext(sK2,sK3,X1,X2) = sK5 )
| ~ sameside(X0,sK5,ext(sK2,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10893,c_145]) ).
tcf(c_26037,plain,
! [X0: $i,X1: $i] :
( s_col(X0,sK5,sK2)
| ( sK2 = sK5 )
| ( c63(sK2,sK3,X1) = sK5 )
| ~ sameside(sK2,sK3,X1)
| ~ sameside(X0,sK5,c63(sK2,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10895,c_145]) ).
tcf(c_26038,plain,
! [X0: $i,X1: $i] :
( s_col(X0,sK5,sK2)
| ( sK2 = sK5 )
| ( c63(X1,sK3,sK2) = sK5 )
| ~ sameside(X1,sK3,sK2)
| ~ sameside(X0,sK5,c63(X1,sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10896,c_145]) ).
tcf(c_26039,plain,
! [X0: $i] :
( s_col(X0,sK5,sK2)
| ( sK2 = sK5 )
| ( s(sK3,sK2) = sK5 )
| ~ sameside(X0,sK5,s(sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10897,c_145]) ).
tcf(c_26040,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,sK4,sK0)
| ( sK0 = sK4 )
| ( ins(X1,X2,sK0,sK3) = sK4 )
| ~ le(sK0,sK3,X1,X2)
| ~ sameside(X0,sK4,ins(X1,X2,sK0,sK3)) ),
inference(superposition,[status(thm)],[c_10944,c_145]) ).
tcf(c_26041,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,sK3,sK4)
| ( sK3 = sK4 )
| ( ins(X1,X2,sK0,sK3) = sK3 )
| ~ le(sK0,sK3,X1,X2)
| ~ sameside(X0,sK3,ins(X1,X2,sK0,sK3)) ),
inference(superposition,[status(thm)],[c_10945,c_145]) ).
tcf(c_26042,plain,
! [X0: $i] :
( s_col(X0,sK4,midpoint(sK3,sK4))
| ( sK0 = sK4 )
| ( midpoint(sK3,sK4) = sK4 )
| ~ sameside(X0,sK4,sK0) ),
inference(superposition,[status(thm)],[c_11193,c_145]) ).
tcf(c_26043,plain,
! [X0: $i] :
( s_col(X0,sK5,midpoint(sK3,sK5))
| ( sK2 = sK5 )
| ( midpoint(sK3,sK5) = sK5 )
| ~ sameside(X0,sK5,sK2) ),
inference(superposition,[status(thm)],[c_11222,c_145]) ).
tcf(c_26044,plain,
! [X0: $i] :
( s_col(X0,sK3,s(sK3,sK0))
| ( sK3 = sK4 )
| ( s(sK3,sK0) = sK3 )
| ~ sameside(X0,sK3,sK4) ),
inference(superposition,[status(thm)],[c_11254,c_145]) ).
tcf(c_26045,plain,
! [X0: $i] :
( s_col(X0,sK3,s(sK3,sK2))
| ( sK3 = sK5 )
| ( s(sK3,sK2) = sK3 )
| ~ sameside(X0,sK3,sK5) ),
inference(superposition,[status(thm)],[c_11286,c_145]) ).
tcf(c_26046,plain,
! [X0: $i] :
( s_col(X0,midpoint(sK3,sK4),sK3)
| ( midpoint(sK3,sK4) = sK3 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ sameside(X0,midpoint(sK3,sK4),sK0) ),
inference(superposition,[status(thm)],[c_11315,c_145]) ).
tcf(c_26047,plain,
! [X0: $i] :
( s_col(X0,midpoint(sK3,sK5),sK3)
| ( midpoint(sK3,sK5) = sK3 )
| ( midpoint(sK3,sK5) = sK2 )
| ~ sameside(X0,midpoint(sK3,sK5),sK2) ),
inference(superposition,[status(thm)],[c_11348,c_145]) ).
tcf(c_26048,plain,
! [X0: $i] :
( s_col(X0,sK4,s(sK3,sK0))
| ( sK0 = sK4 )
| ( s(sK3,sK0) = sK4 )
| ~ sameside(X0,sK4,sK0) ),
inference(superposition,[status(thm)],[c_11376,c_145]) ).
tcf(c_26049,plain,
! [X0: $i] :
( s_col(X0,sK5,s(sK3,sK2))
| ( sK2 = sK5 )
| ( s(sK3,sK2) = sK5 )
| ~ sameside(X0,sK5,sK2) ),
inference(superposition,[status(thm)],[c_11408,c_145]) ).
tcf(c_26050,plain,
! [X0: $i] :
( s_col(X0,sK4,sK3)
| ( sK3 = sK4 )
| ( midpoint(sK0,sK4) = sK4 )
| ~ sameside(X0,sK4,midpoint(sK0,sK4)) ),
inference(superposition,[status(thm)],[c_12008,c_145]) ).
tcf(c_26051,plain,
! [X0: $i] :
( s_col(X0,sK5,sK3)
| ( sK3 = sK5 )
| ( midpoint(sK2,sK5) = sK5 )
| ~ sameside(X0,sK5,midpoint(sK2,sK5)) ),
inference(superposition,[status(thm)],[c_12016,c_145]) ).
tcf(c_26052,plain,
! [X0: $i] :
( s_col(X0,sK0,sK4)
| ( sK0 = sK4 )
| ( s(sK0,sK3) = sK0 )
| ~ sameside(X0,sK0,s(sK0,sK3)) ),
inference(superposition,[status(thm)],[c_12035,c_145]) ).
tcf(c_26053,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,sK3,sK0)
| ( sK3 = sK4 )
| ( sK0 = sK3 )
| ( ext(sK4,sK3,X1,X2) = sK3 )
| ~ sameside(X0,sK3,ext(sK4,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_17754,c_145]) ).
tcf(c_26054,plain,
! [X0: $i] :
( s_col(X0,sK3,sK0)
| ( sK3 = sK4 )
| ( sK0 = sK3 )
| ( s(sK3,sK4) = sK3 )
| ~ sameside(X0,sK3,s(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_17759,c_145]) ).
tcf(c_26055,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,sK3,sK2)
| ( sK3 = sK5 )
| ( sK2 = sK3 )
| ( ext(sK5,sK3,X1,X2) = sK3 )
| ~ sameside(X0,sK3,ext(sK5,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_17800,c_145]) ).
tcf(c_26056,plain,
! [X0: $i] :
( s_col(X0,sK3,sK2)
| ( sK3 = sK5 )
| ( sK2 = sK3 )
| ( s(sK3,sK5) = sK3 )
| ~ sameside(X0,sK3,s(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_17805,c_145]) ).
tcf(c_26057,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,sK4,sK0)
| ( sK3 = sK4 )
| ( sK0 = sK4 )
| ( ext(sK4,sK3,X1,X2) = sK4 )
| ~ sameside(X0,sK4,ext(sK4,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_19840,c_145]) ).
tcf(c_26058,plain,
! [X0: $i] :
( s_col(X0,sK4,sK0)
| ( sK3 = sK4 )
| ( sK0 = sK4 )
| ( s(sK3,sK4) = sK4 )
| ~ sameside(X0,sK4,s(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_19845,c_145]) ).
tcf(c_26059,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,sK5,sK2)
| ( sK3 = sK5 )
| ( sK2 = sK5 )
| ( ext(sK5,sK3,X1,X2) = sK5 )
| ~ sameside(X0,sK5,ext(sK5,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_19926,c_145]) ).
tcf(c_26060,plain,
! [X0: $i] :
( s_col(X0,sK5,sK2)
| ( sK3 = sK5 )
| ( sK2 = sK5 )
| ( s(sK3,sK5) = sK5 )
| ~ sameside(X0,sK5,s(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_19931,c_145]) ).
tcf(c_26061,plain,
! [X0: $i] :
( s_t(sK0,sK4,midpoint(sK0,sK3))
| s_col(X0,midpoint(sK0,sK3),sK0)
| ( midpoint(sK0,sK3) = sK4 )
| ( midpoint(sK0,sK3) = sK0 )
| ~ sameside(X0,midpoint(sK0,sK3),sK4) ),
inference(superposition,[status(thm)],[c_19992,c_145]) ).
tcf(c_26062,plain,
! [X0: $i] :
( s_t(sK2,sK5,midpoint(sK2,sK3))
| s_col(X0,midpoint(sK2,sK3),sK2)
| ( midpoint(sK2,sK3) = sK5 )
| ( midpoint(sK2,sK3) = sK2 )
| ~ sameside(X0,midpoint(sK2,sK3),sK5) ),
inference(superposition,[status(thm)],[c_20058,c_145]) ).
tcf(c_26518,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_26519,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_26520,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_26523,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_26524,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_26525,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_26526,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_26527,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| s_t(X3,X0,erect21a(X1,X2,X3))
| s_t(X0,X3,erect21a(X1,X2,X3))
| ( X1 = X2 )
| ( erect21a(X1,X2,X3) = erectAux21a(X1,X2,X3) )
| ~ s_t(X0,erectAux21a(X1,X2,X3),erect21a(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_217,c_147]) ).
tcf(c_26528,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,X0,erect(X1,X2,X3))
| s_t(X0,X3,erect(X1,X2,X3))
| ( X1 = X2 )
| ( erect(X1,X2,X3) = erectAux(X1,X2,X3) )
| ~ s_t(X0,erectAux(X1,X2,X3),erect(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_220,c_147]) ).
tcf(c_26529,plain,
! [X0: $i] :
( s_t(sK0,X0,sK3)
| s_t(X0,sK0,sK3)
| ( sK3 = sK4 )
| ~ s_t(X0,sK4,sK3) ),
inference(superposition,[status(thm)],[c_5723,c_147]) ).
tcf(c_26530,plain,
! [X0: $i] :
( s_t(sK2,X0,sK3)
| s_t(X0,sK2,sK3)
| ( sK3 = sK5 )
| ~ s_t(X0,sK5,sK3) ),
inference(superposition,[status(thm)],[c_5722,c_147]) ).
tcf(c_26531,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_259,c_147]) ).
tcf(c_26532,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,X0,X2)
| s_t(X0,X1,X2)
| ( midpoint(X1,X2) = X2 )
| ~ s_t(X0,midpoint(X1,X2),X2) ),
inference(superposition,[status(thm)],[c_1750,c_147]) ).
tcf(c_26533,plain,
! [X0: $i] :
( s_t(sK0,X0,sK5)
| s_t(X0,sK0,sK5)
| ( sK5 = iPr_def_10 )
| ~ s_t(X0,iPr_def_10,sK5) ),
inference(superposition,[status(thm)],[c_8163,c_147]) ).
tcf(c_26534,plain,
! [X0: $i] :
( s_t(sK2,X0,sK1)
| s_t(X0,sK2,sK1)
| ( sK1 = iPr_def_11 )
| ~ s_t(X0,iPr_def_11,sK1) ),
inference(superposition,[status(thm)],[c_8165,c_147]) ).
tcf(c_26535,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_8175,c_147]) ).
tcf(c_26536,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_8180,c_147]) ).
tcf(c_26537,plain,
! [X0: $i] :
( s_t(sK3,X0,sK0)
| s_t(X0,sK3,sK0)
| ( sK0 = sK4 )
| ~ s_t(X0,sK4,sK0) ),
inference(superposition,[status(thm)],[c_8200,c_147]) ).
tcf(c_26538,plain,
! [X0: $i] :
( s_t(sK3,X0,sK2)
| s_t(X0,sK3,sK2)
| ( sK2 = sK5 )
| ~ s_t(X0,sK5,sK2) ),
inference(superposition,[status(thm)],[c_8201,c_147]) ).
tcf(c_26539,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,X0,X1)
| s_t(X0,X2,X1)
| ( midpoint(X1,X2) = X1 )
| ~ s_t(X0,midpoint(X1,X2),X1) ),
inference(superposition,[status(thm)],[c_8202,c_147]) ).
tcf(c_26540,plain,
! [X0: $i] :
( s_t(sK5,X0,sK0)
| s_t(X0,sK5,sK0)
| ( sK0 = iPr_def_10 )
| ~ s_t(X0,iPr_def_10,sK0) ),
inference(superposition,[status(thm)],[c_8203,c_147]) ).
tcf(c_26541,plain,
! [X0: $i] :
( s_t(sK1,X0,sK2)
| s_t(X0,sK1,sK2)
| ( sK2 = iPr_def_11 )
| ~ s_t(X0,iPr_def_11,sK2) ),
inference(superposition,[status(thm)],[c_8204,c_147]) ).
tcf(c_26542,plain,
! [X0: $i] :
( s_t(sK2,sK4,sK1)
| s_t(sK1,sK2,sK4)
| s_t(sK4,X0,sK2)
| s_t(X0,sK4,sK2)
| ( sK1 = sK2 )
| ~ s_t(X0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_16412,c_147]) ).
tcf(c_26543,plain,
! [X0: $i] :
( s_t(sK2,sK1,sK4)
| s_t(sK1,sK4,sK2)
| s_t(sK4,X0,sK1)
| s_t(X0,sK4,sK1)
| ( sK1 = sK2 )
| ~ s_t(X0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_16414,c_147]) ).
tcf(c_26544,plain,
! [X0: $i] :
( s_t(sK0,X0,midpoint(sK3,sK4))
| s_t(X0,sK0,midpoint(sK3,sK4))
| ( midpoint(sK3,sK4) = sK4 )
| ~ s_t(X0,sK4,midpoint(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_10794,c_147]) ).
tcf(c_26545,plain,
! [X0: $i] :
( s_t(sK2,X0,midpoint(sK3,sK5))
| s_t(X0,sK2,midpoint(sK3,sK5))
| ( midpoint(sK3,sK5) = sK5 )
| ~ s_t(X0,sK5,midpoint(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_10807,c_147]) ).
tcf(c_26546,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK4,X0,ext(sK0,sK3,X1,X2))
| s_t(X0,sK4,ext(sK0,sK3,X1,X2))
| ( ext(sK0,sK3,X1,X2) = sK3 )
| ~ s_t(X0,sK3,ext(sK0,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10812,c_147]) ).
tcf(c_26547,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,X0,c63(sK0,sK3,X1))
| s_t(X0,sK4,c63(sK0,sK3,X1))
| ( c63(sK0,sK3,X1) = sK3 )
| ~ sameside(sK0,sK3,X1)
| ~ s_t(X0,sK3,c63(sK0,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10814,c_147]) ).
tcf(c_26548,plain,
! [X0: $i,X1: $i] :
( s_t(sK4,X0,c63(X1,sK3,sK0))
| s_t(X0,sK4,c63(X1,sK3,sK0))
| ( c63(X1,sK3,sK0) = sK3 )
| ~ sameside(X1,sK3,sK0)
| ~ s_t(X0,sK3,c63(X1,sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10815,c_147]) ).
tcf(c_26549,plain,
! [X0: $i] :
( s_t(sK4,X0,s(sK3,sK0))
| s_t(X0,sK4,s(sK3,sK0))
| ( s(sK3,sK0) = sK3 )
| ~ s_t(X0,sK3,s(sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10816,c_147]) ).
tcf(c_26550,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK5,X0,ext(sK2,sK3,X1,X2))
| s_t(X0,sK5,ext(sK2,sK3,X1,X2))
| ( ext(sK2,sK3,X1,X2) = sK3 )
| ~ s_t(X0,sK3,ext(sK2,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10836,c_147]) ).
tcf(c_26551,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,X0,c63(sK2,sK3,X1))
| s_t(X0,sK5,c63(sK2,sK3,X1))
| ( c63(sK2,sK3,X1) = sK3 )
| ~ sameside(sK2,sK3,X1)
| ~ s_t(X0,sK3,c63(sK2,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10838,c_147]) ).
tcf(c_26552,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,X0,c63(X1,sK3,sK2))
| s_t(X0,sK5,c63(X1,sK3,sK2))
| ( c63(X1,sK3,sK2) = sK3 )
| ~ sameside(X1,sK3,sK2)
| ~ s_t(X0,sK3,c63(X1,sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10839,c_147]) ).
tcf(c_26553,plain,
! [X0: $i] :
( s_t(sK5,X0,s(sK3,sK2))
| s_t(X0,sK5,s(sK3,sK2))
| ( s(sK3,sK2) = sK3 )
| ~ s_t(X0,sK3,s(sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10840,c_147]) ).
tcf(c_26554,plain,
! [X0: $i] :
( s_t(sK0,X0,sK3)
| s_t(X0,sK0,sK3)
| ( midpoint(sK3,sK4) = sK3 )
| ~ s_t(X0,midpoint(sK3,sK4),sK3) ),
inference(superposition,[status(thm)],[c_10855,c_147]) ).
tcf(c_26555,plain,
! [X0: $i] :
( s_t(sK2,X0,sK3)
| s_t(X0,sK2,sK3)
| ( midpoint(sK3,sK5) = sK3 )
| ~ s_t(X0,midpoint(sK3,sK5),sK3) ),
inference(superposition,[status(thm)],[c_10867,c_147]) ).
tcf(c_26556,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,X0,ext(sK0,sK3,X1,X2))
| s_t(X0,sK0,ext(sK0,sK3,X1,X2))
| ( ext(sK0,sK3,X1,X2) = sK4 )
| ~ s_t(X0,sK4,ext(sK0,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10872,c_147]) ).
tcf(c_26557,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,X0,c63(sK0,sK3,X1))
| s_t(X0,sK0,c63(sK0,sK3,X1))
| ( c63(sK0,sK3,X1) = sK4 )
| ~ sameside(sK0,sK3,X1)
| ~ s_t(X0,sK4,c63(sK0,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10874,c_147]) ).
tcf(c_26558,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,X0,c63(X1,sK3,sK0))
| s_t(X0,sK0,c63(X1,sK3,sK0))
| ( c63(X1,sK3,sK0) = sK4 )
| ~ sameside(X1,sK3,sK0)
| ~ s_t(X0,sK4,c63(X1,sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10875,c_147]) ).
tcf(c_26559,plain,
! [X0: $i] :
( s_t(sK0,X0,s(sK3,sK0))
| s_t(X0,sK0,s(sK3,sK0))
| ( s(sK3,sK0) = sK4 )
| ~ s_t(X0,sK4,s(sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10876,c_147]) ).
tcf(c_26560,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,X0,ext(sK2,sK3,X1,X2))
| s_t(X0,sK2,ext(sK2,sK3,X1,X2))
| ( ext(sK2,sK3,X1,X2) = sK5 )
| ~ s_t(X0,sK5,ext(sK2,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10893,c_147]) ).
tcf(c_26561,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,X0,c63(sK2,sK3,X1))
| s_t(X0,sK2,c63(sK2,sK3,X1))
| ( c63(sK2,sK3,X1) = sK5 )
| ~ sameside(sK2,sK3,X1)
| ~ s_t(X0,sK5,c63(sK2,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10895,c_147]) ).
tcf(c_26562,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,X0,c63(X1,sK3,sK2))
| s_t(X0,sK2,c63(X1,sK3,sK2))
| ( c63(X1,sK3,sK2) = sK5 )
| ~ sameside(X1,sK3,sK2)
| ~ s_t(X0,sK5,c63(X1,sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10896,c_147]) ).
tcf(c_26563,plain,
! [X0: $i] :
( s_t(sK2,X0,s(sK3,sK2))
| s_t(X0,sK2,s(sK3,sK2))
| ( s(sK3,sK2) = sK5 )
| ~ s_t(X0,sK5,s(sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10897,c_147]) ).
tcf(c_26564,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,X0,ins(X1,X2,sK0,sK3))
| s_t(X0,sK0,ins(X1,X2,sK0,sK3))
| ( ins(X1,X2,sK0,sK3) = sK4 )
| ~ le(sK0,sK3,X1,X2)
| ~ s_t(X0,sK4,ins(X1,X2,sK0,sK3)) ),
inference(superposition,[status(thm)],[c_10944,c_147]) ).
tcf(c_26565,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK4,X0,ins(X1,X2,sK0,sK3))
| s_t(X0,sK4,ins(X1,X2,sK0,sK3))
| ( ins(X1,X2,sK0,sK3) = sK3 )
| ~ le(sK0,sK3,X1,X2)
| ~ s_t(X0,sK3,ins(X1,X2,sK0,sK3)) ),
inference(superposition,[status(thm)],[c_10945,c_147]) ).
tcf(c_26566,plain,
! [X0: $i] :
( s_t(X0,midpoint(sK3,sK4),sK0)
| s_t(midpoint(sK3,sK4),X0,sK0)
| ( sK0 = sK4 )
| ~ s_t(X0,sK4,sK0) ),
inference(superposition,[status(thm)],[c_11193,c_147]) ).
tcf(c_26567,plain,
! [X0: $i] :
( s_t(X0,midpoint(sK3,sK5),sK2)
| s_t(midpoint(sK3,sK5),X0,sK2)
| ( sK2 = sK5 )
| ~ s_t(X0,sK5,sK2) ),
inference(superposition,[status(thm)],[c_11222,c_147]) ).
tcf(c_26568,plain,
! [X0: $i] :
( s_t(X0,s(sK3,sK0),sK4)
| s_t(s(sK3,sK0),X0,sK4)
| ( sK3 = sK4 )
| ~ s_t(X0,sK3,sK4) ),
inference(superposition,[status(thm)],[c_11254,c_147]) ).
tcf(c_26569,plain,
! [X0: $i] :
( s_t(X0,s(sK3,sK2),sK5)
| s_t(s(sK3,sK2),X0,sK5)
| ( sK3 = sK5 )
| ~ s_t(X0,sK3,sK5) ),
inference(superposition,[status(thm)],[c_11286,c_147]) ).
tcf(c_26570,plain,
! [X0: $i] :
( s_t(sK3,X0,sK0)
| s_t(X0,sK3,sK0)
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_t(X0,midpoint(sK3,sK4),sK0) ),
inference(superposition,[status(thm)],[c_11315,c_147]) ).
tcf(c_26571,plain,
! [X0: $i] :
( s_t(sK3,X0,sK2)
| s_t(X0,sK3,sK2)
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_t(X0,midpoint(sK3,sK5),sK2) ),
inference(superposition,[status(thm)],[c_11348,c_147]) ).
tcf(c_26572,plain,
! [X0: $i] :
( s_t(X0,s(sK3,sK0),sK0)
| s_t(s(sK3,sK0),X0,sK0)
| ( sK0 = sK4 )
| ~ s_t(X0,sK4,sK0) ),
inference(superposition,[status(thm)],[c_11376,c_147]) ).
tcf(c_26573,plain,
! [X0: $i] :
( s_t(X0,s(sK3,sK2),sK2)
| s_t(s(sK3,sK2),X0,sK2)
| ( sK2 = sK5 )
| ~ s_t(X0,sK5,sK2) ),
inference(superposition,[status(thm)],[c_11408,c_147]) ).
tcf(c_26574,plain,
! [X0: $i] :
( s_t(sK3,X0,midpoint(sK0,sK4))
| s_t(X0,sK3,midpoint(sK0,sK4))
| ( midpoint(sK0,sK4) = sK4 )
| ~ s_t(X0,sK4,midpoint(sK0,sK4)) ),
inference(superposition,[status(thm)],[c_12008,c_147]) ).
tcf(c_26575,plain,
! [X0: $i] :
( s_t(sK3,X0,midpoint(sK2,sK5))
| s_t(X0,sK3,midpoint(sK2,sK5))
| ( midpoint(sK2,sK5) = sK5 )
| ~ s_t(X0,sK5,midpoint(sK2,sK5)) ),
inference(superposition,[status(thm)],[c_12016,c_147]) ).
tcf(c_26576,plain,
! [X0: $i] :
( s_t(sK4,X0,s(sK0,sK3))
| s_t(X0,sK4,s(sK0,sK3))
| ( s(sK0,sK3) = sK0 )
| ~ s_t(X0,sK0,s(sK0,sK3)) ),
inference(superposition,[status(thm)],[c_12035,c_147]) ).
tcf(c_26577,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,X0,ext(sK4,sK3,X1,X2))
| s_t(X0,sK0,ext(sK4,sK3,X1,X2))
| ( sK3 = sK4 )
| ( ext(sK4,sK3,X1,X2) = sK3 )
| ~ s_t(X0,sK3,ext(sK4,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_17754,c_147]) ).
tcf(c_26578,plain,
! [X0: $i] :
( s_t(sK0,X0,s(sK3,sK4))
| s_t(X0,sK0,s(sK3,sK4))
| ( sK3 = sK4 )
| ( s(sK3,sK4) = sK3 )
| ~ s_t(X0,sK3,s(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_17759,c_147]) ).
tcf(c_26579,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,X0,ext(sK5,sK3,X1,X2))
| s_t(X0,sK2,ext(sK5,sK3,X1,X2))
| ( sK3 = sK5 )
| ( ext(sK5,sK3,X1,X2) = sK3 )
| ~ s_t(X0,sK3,ext(sK5,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_17800,c_147]) ).
tcf(c_26580,plain,
! [X0: $i] :
( s_t(sK2,X0,s(sK3,sK5))
| s_t(X0,sK2,s(sK3,sK5))
| ( sK3 = sK5 )
| ( s(sK3,sK5) = sK3 )
| ~ s_t(X0,sK3,s(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_17805,c_147]) ).
tcf(c_26581,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK0,X0,ext(sK4,sK3,X1,X2))
| s_t(X0,sK0,ext(sK4,sK3,X1,X2))
| ( sK3 = sK4 )
| ( ext(sK4,sK3,X1,X2) = sK4 )
| ~ s_t(X0,sK4,ext(sK4,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_19840,c_147]) ).
tcf(c_26582,plain,
! [X0: $i] :
( s_t(sK0,X0,s(sK3,sK4))
| s_t(X0,sK0,s(sK3,sK4))
| ( sK3 = sK4 )
| ( s(sK3,sK4) = sK4 )
| ~ s_t(X0,sK4,s(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_19845,c_147]) ).
tcf(c_26583,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(sK2,X0,ext(sK5,sK3,X1,X2))
| s_t(X0,sK2,ext(sK5,sK3,X1,X2))
| ( sK3 = sK5 )
| ( ext(sK5,sK3,X1,X2) = sK5 )
| ~ s_t(X0,sK5,ext(sK5,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_19926,c_147]) ).
tcf(c_26584,plain,
! [X0: $i] :
( s_t(sK2,X0,s(sK3,sK5))
| s_t(X0,sK2,s(sK3,sK5))
| ( sK3 = sK5 )
| ( s(sK3,sK5) = sK5 )
| ~ s_t(X0,sK5,s(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_19931,c_147]) ).
tcf(c_26585,plain,
! [X0: $i] :
( s_t(sK0,X0,sK4)
| s_t(X0,sK0,sK4)
| s_t(sK0,sK4,midpoint(sK0,sK3))
| ( midpoint(sK0,sK3) = sK4 )
| ~ s_t(X0,midpoint(sK0,sK3),sK4) ),
inference(superposition,[status(thm)],[c_19992,c_147]) ).
tcf(c_26586,plain,
! [X0: $i] :
( s_t(sK2,X0,sK5)
| s_t(X0,sK2,sK5)
| s_t(sK2,sK5,midpoint(sK2,sK3))
| ( midpoint(sK2,sK3) = sK5 )
| ~ s_t(X0,midpoint(sK2,sK3),sK5) ),
inference(superposition,[status(thm)],[c_20058,c_147]) ).
tcf(c_27092,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_27093,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_27094,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| s_col(X0,foot(X0,X1,X3),X2)
| ( X0 = X1 )
| ( foot(X0,X1,X3) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_209,c_148]) ).
tcf(c_27095,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| s_col(X0,erectAux21a(X0,X1,X3),X2)
| ( X0 = X1 )
| ( erectAux21a(X0,X1,X3) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_216,c_148]) ).
tcf(c_27096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,erectAux(X0,X1,X3),X2)
| ( X0 = X1 )
| ( erectAux(X0,X1,X3) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_219,c_148]) ).
tcf(c_27097,plain,
! [X0: $i] :
( s_col(sK1,sK4,X0)
| ( sK1 = sK4 )
| ( sK1 = sK2 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_5724,c_148]) ).
tcf(c_27099,plain,
! [X0: $i] :
( s_col(sK2,sK1,X0)
| ( sK2 = sK4 )
| ( sK1 = sK2 )
| ~ s_col(sK2,sK4,X0) ),
inference(superposition,[status(thm)],[c_8256,c_148]) ).
tcf(c_27100,plain,
! [X0: $i] :
( s_col(sK4,sK2,X0)
| ( sK2 = sK4 )
| ( sK1 = sK4 )
| ~ s_col(sK4,sK1,X0) ),
inference(superposition,[status(thm)],[c_8263,c_148]) ).
tcf(c_27101,plain,
! [X0: $i] :
( s_col(sK4,sK1,X0)
| ( sK2 = sK4 )
| ( sK1 = sK4 )
| ~ s_col(sK4,sK2,X0) ),
inference(superposition,[status(thm)],[c_8270,c_148]) ).
tcf(c_27102,plain,
! [X0: $i] :
( s_col(sK2,sK4,X0)
| ( sK2 = sK4 )
| ( sK1 = sK2 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_8277,c_148]) ).
tcf(c_27103,plain,
! [X0: $i] :
( s_col(sK1,sK2,X0)
| ( sK1 = sK4 )
| ( sK1 = sK2 )
| ~ s_col(sK1,sK4,X0) ),
inference(superposition,[status(thm)],[c_8283,c_148]) ).
tcf(c_27104,plain,
! [X0: $i] :
( s_col(sK0,sK3,X0)
| ( sK0 = sK4 )
| ( sK0 = sK3 )
| ~ s_col(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_8511,c_148]) ).
tcf(c_27105,plain,
! [X0: $i] :
( s_col(sK2,sK3,X0)
| ( sK2 = sK5 )
| ( sK2 = sK3 )
| ~ s_col(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_8512,c_148]) ).
tcf(c_27106,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ( midpoint(X0,X1) = X0 )
| ~ s_col(X0,midpoint(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_8513,c_148]) ).
tcf(c_27107,plain,
! [X0: $i] :
( s_col(sK0,sK5,X0)
| ( sK0 = iPr_def_10 )
| ( sK0 = sK5 )
| ~ s_col(sK0,iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_8514,c_148]) ).
tcf(c_27108,plain,
! [X0: $i] :
( s_col(sK2,sK1,X0)
| ( sK2 = iPr_def_11 )
| ( sK1 = sK2 )
| ~ s_col(sK2,iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_8515,c_148]) ).
tcf(c_27109,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_8516,c_148]) ).
tcf(c_27110,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_8517,c_148]) ).
tcf(c_27111,plain,
! [X0: $i] :
( s_col(sK3,sK0,X0)
| ( sK3 = sK4 )
| ( sK0 = sK3 )
| ~ s_col(sK3,sK4,X0) ),
inference(superposition,[status(thm)],[c_8518,c_148]) ).
tcf(c_27112,plain,
! [X0: $i] :
( s_col(sK3,sK2,X0)
| ( sK3 = sK5 )
| ( sK2 = sK3 )
| ~ s_col(sK3,sK5,X0) ),
inference(superposition,[status(thm)],[c_8519,c_148]) ).
tcf(c_27113,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,X1,X2)
| ( X0 = X1 )
| ( midpoint(X1,X0) = X0 )
| ~ s_col(X0,midpoint(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_8520,c_148]) ).
tcf(c_27114,plain,
! [X0: $i] :
( s_col(sK5,sK0,X0)
| ( sK5 = iPr_def_10 )
| ( sK0 = sK5 )
| ~ s_col(sK5,iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_8521,c_148]) ).
tcf(c_27115,plain,
! [X0: $i] :
( s_col(sK1,sK2,X0)
| ( sK1 = iPr_def_11 )
| ( sK1 = sK2 )
| ~ s_col(sK1,iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_8522,c_148]) ).
tcf(c_27116,plain,
! [X0: $i] :
( s_col(sK3,sK4,X0)
| ( sK3 = sK4 )
| ( sK0 = sK3 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_8534,c_148]) ).
tcf(c_27117,plain,
! [X0: $i] :
( s_col(sK3,sK5,X0)
| ( sK3 = sK5 )
| ( sK2 = sK3 )
| ~ s_col(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_8535,c_148]) ).
tcf(c_27118,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,midpoint(X1,X0),X2)
| ( X0 = X1 )
| ( midpoint(X1,X0) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8536,c_148]) ).
tcf(c_27119,plain,
! [X0: $i] :
( s_col(sK5,iPr_def_10,X0)
| ( sK5 = iPr_def_10 )
| ( sK0 = sK5 )
| ~ s_col(sK5,sK0,X0) ),
inference(superposition,[status(thm)],[c_8537,c_148]) ).
tcf(c_27120,plain,
! [X0: $i] :
( s_col(sK1,iPr_def_11,X0)
| ( sK1 = iPr_def_11 )
| ( sK1 = sK2 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_8538,c_148]) ).
tcf(c_27121,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_8539,c_148]) ).
tcf(c_27122,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_8540,c_148]) ).
tcf(c_27123,plain,
! [X0: $i] :
( s_col(sK0,sK4,X0)
| ( sK0 = sK4 )
| ( sK0 = sK3 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_8541,c_148]) ).
tcf(c_27124,plain,
! [X0: $i] :
( s_col(sK2,sK5,X0)
| ( sK2 = sK5 )
| ( sK2 = sK3 )
| ~ s_col(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_8542,c_148]) ).
tcf(c_27125,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(X0,midpoint(X0,X1),X2)
| ( X0 = X1 )
| ( midpoint(X0,X1) = X0 )
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8543,c_148]) ).
tcf(c_27126,plain,
! [X0: $i] :
( s_col(sK0,iPr_def_10,X0)
| ( sK0 = iPr_def_10 )
| ( sK0 = sK5 )
| ~ s_col(sK0,sK5,X0) ),
inference(superposition,[status(thm)],[c_8544,c_148]) ).
tcf(c_27127,plain,
! [X0: $i] :
( s_col(sK2,iPr_def_11,X0)
| ( sK2 = iPr_def_11 )
| ( sK1 = sK2 )
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_8545,c_148]) ).
tcf(c_27128,plain,
! [X0: $i] :
( s_col(sK4,sK3,X0)
| ( sK3 = sK4 )
| ( sK0 = sK4 )
| ~ s_col(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_8552,c_148]) ).
tcf(c_27129,plain,
! [X0: $i] :
( s_col(sK4,sK0,X0)
| ( sK3 = sK4 )
| ( sK0 = sK4 )
| ~ s_col(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_8555,c_148]) ).
tcf(c_27130,plain,
! [X0: $i] :
( s_col(sK5,sK3,X0)
| ( sK3 = sK5 )
| ( sK2 = sK5 )
| ~ s_col(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_8557,c_148]) ).
tcf(c_27131,plain,
! [X0: $i] :
( s_col(sK5,sK2,X0)
| ( sK3 = sK5 )
| ( sK2 = sK5 )
| ~ s_col(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_8560,c_148]) ).
tcf(c_27132,plain,
! [X0: $i] :
( s_col(iPr_def_10,sK5,X0)
| ( sK5 = iPr_def_10 )
| ( sK0 = iPr_def_10 )
| ~ s_col(iPr_def_10,sK0,X0) ),
inference(superposition,[status(thm)],[c_8562,c_148]) ).
tcf(c_27133,plain,
! [X0: $i] :
( s_col(iPr_def_10,sK0,X0)
| ( sK5 = iPr_def_10 )
| ( sK0 = iPr_def_10 )
| ~ s_col(iPr_def_10,sK5,X0) ),
inference(superposition,[status(thm)],[c_8565,c_148]) ).
tcf(c_27134,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(midpoint(X0,X1),X0,X2)
| ( midpoint(X0,X1) = X1 )
| ( midpoint(X0,X1) = X0 )
| ~ s_col(midpoint(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_8631,c_148]) ).
tcf(c_27135,plain,
! [X0: $i] :
( s_col(iPr_def_11,sK2,X0)
| ( sK2 = iPr_def_11 )
| ( sK1 = iPr_def_11 )
| ~ s_col(iPr_def_11,sK1,X0) ),
inference(superposition,[status(thm)],[c_8633,c_148]) ).
tcf(c_27136,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_8634,c_148]) ).
tcf(c_27137,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_8635,c_148]) ).
tcf(c_27138,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(midpoint(X0,X1),X1,X2)
| ( midpoint(X0,X1) = X1 )
| ( midpoint(X0,X1) = X0 )
| ~ s_col(midpoint(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_8638,c_148]) ).
tcf(c_27139,plain,
! [X0: $i] :
( s_col(iPr_def_11,sK1,X0)
| ( sK2 = iPr_def_11 )
| ( sK1 = iPr_def_11 )
| ~ s_col(iPr_def_11,sK2,X0) ),
inference(superposition,[status(thm)],[c_8640,c_148]) ).
tcf(c_27140,plain,
! [X0: $i] :
( s_col(sK4,sK0,X0)
| ( sK0 = sK4 )
| ( midpoint(sK3,sK4) = sK4 )
| ~ s_col(sK4,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_11190,c_148]) ).
tcf(c_27141,plain,
! [X0: $i] :
( s_col(midpoint(sK3,sK4),sK4,X0)
| ( midpoint(sK3,sK4) = sK4 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_col(midpoint(sK3,sK4),sK0,X0) ),
inference(superposition,[status(thm)],[c_11191,c_148]) ).
tcf(c_27142,plain,
! [X0: $i] :
( s_col(sK0,midpoint(sK3,sK4),X0)
| ( sK0 = sK4 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_col(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_11192,c_148]) ).
tcf(c_27143,plain,
! [X0: $i] :
( s_col(sK5,sK2,X0)
| ( sK2 = sK5 )
| ( midpoint(sK3,sK5) = sK5 )
| ~ s_col(sK5,midpoint(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_11219,c_148]) ).
tcf(c_27144,plain,
! [X0: $i] :
( s_col(midpoint(sK3,sK5),sK5,X0)
| ( midpoint(sK3,sK5) = sK5 )
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_col(midpoint(sK3,sK5),sK2,X0) ),
inference(superposition,[status(thm)],[c_11220,c_148]) ).
tcf(c_27145,plain,
! [X0: $i] :
( s_col(sK2,midpoint(sK3,sK5),X0)
| ( sK2 = sK5 )
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_col(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_11221,c_148]) ).
tcf(c_27146,plain,
! [X0: $i] :
( s_col(sK3,sK4,X0)
| ( sK3 = sK4 )
| ( s(sK3,sK0) = sK3 )
| ~ s_col(sK3,s(sK3,sK0),X0) ),
inference(superposition,[status(thm)],[c_11251,c_148]) ).
tcf(c_27147,plain,
! [X0: $i] :
( s_col(s(sK3,sK0),sK3,X0)
| ( s(sK3,sK0) = sK4 )
| ( s(sK3,sK0) = sK3 )
| ~ s_col(s(sK3,sK0),sK4,X0) ),
inference(superposition,[status(thm)],[c_11252,c_148]) ).
tcf(c_27148,plain,
! [X0: $i] :
( s_col(sK4,s(sK3,sK0),X0)
| ( sK3 = sK4 )
| ( s(sK3,sK0) = sK4 )
| ~ s_col(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_11253,c_148]) ).
tcf(c_27149,plain,
! [X0: $i] :
( s_col(sK3,sK5,X0)
| ( sK3 = sK5 )
| ( s(sK3,sK2) = sK3 )
| ~ s_col(sK3,s(sK3,sK2),X0) ),
inference(superposition,[status(thm)],[c_11283,c_148]) ).
tcf(c_27150,plain,
! [X0: $i] :
( s_col(s(sK3,sK2),sK3,X0)
| ( s(sK3,sK2) = sK5 )
| ( s(sK3,sK2) = sK3 )
| ~ s_col(s(sK3,sK2),sK5,X0) ),
inference(superposition,[status(thm)],[c_11284,c_148]) ).
tcf(c_27151,plain,
! [X0: $i] :
( s_col(sK5,s(sK3,sK2),X0)
| ( sK3 = sK5 )
| ( s(sK3,sK2) = sK5 )
| ~ s_col(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_11285,c_148]) ).
tcf(c_27152,plain,
! [X0: $i] :
( s_col(midpoint(sK3,sK4),sK0,X0)
| ( midpoint(sK3,sK4) = sK3 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_col(midpoint(sK3,sK4),sK3,X0) ),
inference(superposition,[status(thm)],[c_11312,c_148]) ).
tcf(c_27153,plain,
! [X0: $i] :
( s_col(sK3,midpoint(sK3,sK4),X0)
| ( sK0 = sK3 )
| ( midpoint(sK3,sK4) = sK3 )
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_11313,c_148]) ).
tcf(c_27154,plain,
! [X0: $i] :
( s_col(sK0,sK3,X0)
| ( sK0 = sK3 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_col(sK0,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_11314,c_148]) ).
tcf(c_27155,plain,
! [X0: $i] :
( s_col(midpoint(sK3,sK5),sK2,X0)
| ( midpoint(sK3,sK5) = sK3 )
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_col(midpoint(sK3,sK5),sK3,X0) ),
inference(superposition,[status(thm)],[c_11345,c_148]) ).
tcf(c_27156,plain,
! [X0: $i] :
( s_col(sK3,midpoint(sK3,sK5),X0)
| ( sK2 = sK3 )
| ( midpoint(sK3,sK5) = sK3 )
| ~ s_col(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_11346,c_148]) ).
tcf(c_27157,plain,
! [X0: $i] :
( s_col(sK2,sK3,X0)
| ( sK2 = sK3 )
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_col(sK2,midpoint(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_11347,c_148]) ).
tcf(c_27158,plain,
! [X0: $i] :
( s_col(sK4,sK0,X0)
| ( sK0 = sK4 )
| ( s(sK3,sK0) = sK4 )
| ~ s_col(sK4,s(sK3,sK0),X0) ),
inference(superposition,[status(thm)],[c_11373,c_148]) ).
tcf(c_27159,plain,
! [X0: $i] :
( s_col(s(sK3,sK0),sK4,X0)
| ( s(sK3,sK0) = sK4 )
| ( s(sK3,sK0) = sK0 )
| ~ s_col(s(sK3,sK0),sK0,X0) ),
inference(superposition,[status(thm)],[c_11374,c_148]) ).
tcf(c_27160,plain,
! [X0: $i] :
( s_col(sK0,s(sK3,sK0),X0)
| ( sK0 = sK4 )
| ( s(sK3,sK0) = sK0 )
| ~ s_col(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_11375,c_148]) ).
tcf(c_27161,plain,
! [X0: $i] :
( s_col(sK5,sK2,X0)
| ( sK2 = sK5 )
| ( s(sK3,sK2) = sK5 )
| ~ s_col(sK5,s(sK3,sK2),X0) ),
inference(superposition,[status(thm)],[c_11405,c_148]) ).
tcf(c_27162,plain,
! [X0: $i] :
( s_col(s(sK3,sK2),sK5,X0)
| ( s(sK3,sK2) = sK5 )
| ( s(sK3,sK2) = sK2 )
| ~ s_col(s(sK3,sK2),sK2,X0) ),
inference(superposition,[status(thm)],[c_11406,c_148]) ).
tcf(c_27163,plain,
! [X0: $i] :
( s_col(sK2,s(sK3,sK2),X0)
| ( sK2 = sK5 )
| ( s(sK3,sK2) = sK2 )
| ~ s_col(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_11407,c_148]) ).
tcf(c_27164,plain,
! [X0: $i] :
( s_col(sK4,midpoint(sK3,sK4),X0)
| ( sK0 = sK4 )
| ( midpoint(sK3,sK4) = sK4 )
| ~ s_col(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_11739,c_148]) ).
tcf(c_27165,plain,
! [X0: $i] :
( s_col(midpoint(sK3,sK4),sK0,X0)
| ( midpoint(sK3,sK4) = sK4 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_col(midpoint(sK3,sK4),sK4,X0) ),
inference(superposition,[status(thm)],[c_11740,c_148]) ).
tcf(c_27166,plain,
! [X0: $i] :
( s_col(sK0,sK4,X0)
| ( sK0 = sK4 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_col(sK0,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_11741,c_148]) ).
tcf(c_27633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_r(X5,X4,X6)
| ~ s_col(X2,X3,X6)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X5)
| ~ s_col(X0,X1,X4)
| ~ perp(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_202,c_283]) ).
tcf(c_27634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( il(X0,X1,X2,X3) = X4 )
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ perp(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_202,c_203]) ).
tcf(c_27635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perpAt(X2,X3,X4,X0,X1)
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ perp(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_202,c_189]) ).
tcf(c_27655,plain,
! [X0: $i] :
( s_t(sK5,X0,s(sK2,sK3))
| s_t(X0,sK5,s(sK2,sK3))
| ( s(sK2,sK3) = sK2 )
| ~ s_t(X0,sK2,s(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_12055,c_147]) ).
tcf(c_27656,plain,
! [X0: $i] :
( s_col(X0,sK2,sK5)
| ( sK2 = sK5 )
| ( s(sK2,sK3) = sK2 )
| ~ sameside(X0,sK2,s(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_12055,c_145]) ).
tcf(c_27657,plain,
! [X0: $i] :
( s_t(sK2,X0,s(sK2,sK3))
| s_t(sK2,s(sK2,sK3),X0)
| ( sK2 = sK5 )
| ~ s_t(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_12055,c_108]) ).
tcf(c_27658,plain,
! [X0: $i] :
( s_t(sK5,X0,s(sK2,sK3))
| s_t(sK5,s(sK2,sK3),X0)
| ( sK2 = sK5 )
| ~ s_t(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_12055,c_107]) ).
tcf(c_27659,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ~ s_r(sK5,X0,sK2)
| ~ s_r(s(sK2,sK3),X0,sK2) ),
inference(superposition,[status(thm)],[c_12055,c_184]) ).
tcf(c_27660,plain,
! [X0: $i] :
( s_t(sK5,sK2,X0)
| s_t(sK5,X0,sK2)
| ~ s_t(sK5,X0,s(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_12055,c_109]) ).
tcf(c_27661,plain,
! [X0: $i] :
( s_t(sK5,sK2,X0)
| ( s(sK2,sK3) = sK2 )
| ~ s_t(sK2,s(sK2,sK3),X0) ),
inference(superposition,[status(thm)],[c_12055,c_81]) ).
tcf(c_27662,plain,
! [X0: $i] :
( s_t(sK5,s(sK2,sK3),X0)
| ( s(sK2,sK3) = sK2 )
| ~ s_t(sK2,s(sK2,sK3),X0) ),
inference(superposition,[status(thm)],[c_12055,c_78]) ).
tcf(c_27663,plain,
( sameside(s(sK2,sK3),sK5,sK2)
| ( sK2 = sK5 )
| ( s(sK2,sK3) = sK5 ) ),
inference(superposition,[status(thm)],[c_12055,c_266]) ).
tcf(c_27664,plain,
( sameside(sK2,sK5,s(sK2,sK3))
| ( sK5 = xb )
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_12055,c_265]) ).
tcf(c_27665,plain,
! [X0: $i] :
( s_t(sK5,sK2,X0)
| ~ s_t(sK5,s(sK2,sK3),X0) ),
inference(superposition,[status(thm)],[c_12055,c_80]) ).
tcf(c_27666,plain,
! [X0: $i] :
( s_t(sK5,X0,s(sK2,sK3))
| ~ s_t(sK2,X0,s(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_12055,c_79]) ).
tcf(c_27667,plain,
! [X0: $i] :
( s_t(sK2,s(sK2,sK3),X0)
| ~ s_t(sK5,s(sK2,sK3),X0) ),
inference(superposition,[status(thm)],[c_12055,c_77]) ).
tcf(c_27668,plain,
! [X0: $i] :
( s_t(sK5,sK2,X0)
| ~ s_t(sK2,X0,s(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_12055,c_76]) ).
tcf(c_27669,plain,
( ( sK2 = sK5 )
| ~ s_t(sK2,sK5,s(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_12055,c_75]) ).
tcf(c_27670,plain,
~ sameside(sK5,sK2,s(sK2,sK3)),
inference(superposition,[status(thm)],[c_12055,c_133]) ).
tcf(c_27671,plain,
s_col(sK2,s(sK2,sK3),sK5),
inference(superposition,[status(thm)],[c_12055,c_253]) ).
tcf(c_27672,plain,
s_col(s(sK2,sK3),sK5,sK2),
inference(superposition,[status(thm)],[c_12055,c_252]) ).
tcf(c_27673,plain,
s_col(sK5,sK2,s(sK2,sK3)),
inference(superposition,[status(thm)],[c_12055,c_251]) ).
tcf(c_27674,plain,
s_t(s(sK2,sK3),sK2,sK5),
inference(superposition,[status(thm)],[c_12055,c_73]) ).
tcf(c_27676,plain,
( s_t(sK3,sK2,s(sK2,sK3))
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_12055,c_17122]) ).
tcf(c_27782,plain,
! [X0: $i] :
( s_col(sK5,midpoint(sK3,sK5),X0)
| ( sK2 = sK5 )
| ( midpoint(sK3,sK5) = sK5 )
| ~ s_col(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_12795,c_148]) ).
tcf(c_27783,plain,
( ( sK2 = sK5 )
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_r(sK5,sK2,midpoint(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_12795,c_187]) ).
tcf(c_27784,plain,
! [X0: $i] :
( s_r(midpoint(sK3,sK5),sK5,X0)
| ( sK2 = sK5 )
| ~ s_r(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_12795,c_181]) ).
tcf(c_27786,plain,
( sameside(sK5,sK2,midpoint(sK3,sK5))
| s_t(sK5,sK2,midpoint(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_12795,c_134]) ).
tcf(c_27806,plain,
! [X0: $i] :
( s_col(midpoint(sK3,sK5),sK2,X0)
| ( midpoint(sK3,sK5) = sK5 )
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_col(midpoint(sK3,sK5),sK5,X0) ),
inference(superposition,[status(thm)],[c_12796,c_148]) ).
tcf(c_27807,plain,
( ( sK2 = sK5 )
| ( midpoint(sK3,sK5) = sK5 )
| ~ s_r(midpoint(sK3,sK5),sK5,sK2) ),
inference(superposition,[status(thm)],[c_12796,c_187]) ).
tcf(c_27808,plain,
! [X0: $i] :
( s_r(sK2,midpoint(sK3,sK5),X0)
| ( midpoint(sK3,sK5) = sK5 )
| ~ s_r(sK5,midpoint(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_12796,c_181]) ).
tcf(c_27848,plain,
! [X0: $i] :
( s_col(sK2,sK5,X0)
| ( sK2 = sK5 )
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_col(sK2,midpoint(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_12797,c_148]) ).
tcf(c_27849,plain,
( ( midpoint(sK3,sK5) = sK5 )
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_r(sK2,midpoint(sK3,sK5),sK5) ),
inference(superposition,[status(thm)],[c_12797,c_187]) ).
tcf(c_27850,plain,
! [X0: $i] :
( s_r(sK5,sK2,X0)
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_r(midpoint(sK3,sK5),sK2,X0) ),
inference(superposition,[status(thm)],[c_12797,c_181]) ).
tcf(c_27852,plain,
( sameside(sK2,midpoint(sK3,sK5),sK5)
| s_t(sK2,midpoint(sK3,sK5),sK5) ),
inference(superposition,[status(thm)],[c_12797,c_134]) ).
tcf(c_27881,plain,
! [X0: $i,X1: $i] :
( s_col(ext(ext(sK3,sK4,alpha,gamma),sK4,X0,X1),sK4,sK0)
| ( sK3 = sK4 )
| ( sK0 = sK4 )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_138,c_26005]) ).
tcf(c_27895,plain,
! [X0: $i,X1: $i] :
( s_col(ext(ext(sK3,sK5,alpha,gamma),sK5,X0,X1),sK5,sK2)
| ( sK3 = sK5 )
| ( sK2 = sK5 )
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_138,c_26006]) ).
tcf(c_27909,plain,
( s_t(sK0,sK0,sK3)
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_5723,c_26529]) ).
tcf(c_27910,plain,
( s_t(sK0,s(sK4,sK3),sK3)
| s_t(s(sK4,sK3),sK0,sK3)
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_8180,c_26529]) ).
tcf(c_27940,plain,
( s_t(sK2,sK2,sK3)
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_5722,c_26530]) ).
tcf(c_27941,plain,
( s_t(sK2,s(sK5,sK3),sK3)
| s_t(s(sK5,sK3),sK2,sK3)
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_8180,c_26530]) ).
tcf(c_27953,plain,
( s_col(sK1,sK4,sK1)
| ( sK1 = sK4 )
| ( sK1 = sK2 ) ),
inference(superposition,[status(thm)],[c_100,c_27097]) ).
tcf(c_27954,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,sK4,f813(sK1,sK2,X1,X2,X0))
| ( sK1 = sK4 )
| ( sK1 = sK2 )
| ~ perpAt(sK1,sK2,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_27097]) ).
tcf(c_27955,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_col(sK1,sK4,g813(X0,X1,sK1,sK2,X2))
| ( sK1 = sK4 )
| ( sK1 = sK2 )
| ~ perpAt(X0,X1,X2,sK1,sK2) ),
inference(superposition,[status(thm)],[c_196,c_27097]) ).
tcf(c_27956,plain,
! [X0: $i] :
( s_col(sK1,sK2,X0)
| s_col(sK1,sK4,foot(sK1,sK2,X0))
| ( sK1 = sK4 )
| ( sK1 = sK2 ) ),
inference(superposition,[status(thm)],[c_209,c_27097]) ).
tcf(c_27957,plain,
! [X0: $i] :
( s_col(sK1,sK2,X0)
| s_col(sK1,sK4,erectAux21a(sK1,sK2,X0))
| ( sK1 = sK4 )
| ( sK1 = sK2 ) ),
inference(superposition,[status(thm)],[c_216,c_27097]) ).
tcf(c_27958,plain,
! [X0: $i] :
( s_col(sK1,sK4,erectAux(sK1,sK2,X0))
| ( sK1 = sK4 )
| ( sK1 = sK2 ) ),
inference(superposition,[status(thm)],[c_219,c_27097]) ).
tcf(c_27959,plain,
( s_col(sK1,sK4,sK4)
| ( sK1 = sK4 )
| ( sK1 = sK2 ) ),
inference(superposition,[status(thm)],[c_5724,c_27097]) ).
tcf(c_27961,plain,
( s_col(sK1,sK4,s(sK2,sK1))
| ( sK1 = sK4 )
| ( sK1 = sK2 ) ),
inference(superposition,[status(thm)],[c_8516,c_27097]) ).
tcf(c_27962,plain,
( s_col(sK1,sK4,midpoint(sK2,sK1))
| ( sK1 = sK4 )
| ( sK1 = sK2 ) ),
inference(superposition,[status(thm)],[c_8536,c_27097]) ).
tcf(c_27963,plain,
( s_col(sK1,sK4,iPr_def_11)
| ( sK1 = sK4 )
| ( sK1 = sK2 ) ),
inference(superposition,[status(thm)],[c_8538,c_27097]) ).
tcf(c_27964,plain,
( s_col(sK1,sK4,midpoint(sK1,sK2))
| ( sK1 = sK4 )
| ( sK1 = sK2 ) ),
inference(superposition,[status(thm)],[c_8543,c_27097]) ).
tcf(c_27965,plain,
( s_col(sK1,sK4,s(sK1,sK2))
| ( sK1 = sK4 )
| ( sK1 = sK2 ) ),
inference(superposition,[status(thm)],[c_8635,c_27097]) ).
tcf(c_28009,plain,
! [X0: $i] :
( s_col(sK1,iPr_def_11,X0)
| ( sK1 = iPr_def_11 )
| ( sK1 = sK4 )
| ( sK1 = sK2 )
| ~ s_col(sK1,sK4,X0) ),
inference(superposition,[status(thm)],[c_27963,c_148]) ).
tcf(c_28010,plain,
( ( sK4 = iPr_def_11 )
| ( sK1 = sK4 )
| ( sK1 = sK2 )
| ~ s_r(sK1,sK4,iPr_def_11) ),
inference(superposition,[status(thm)],[c_27963,c_187]) ).
tcf(c_28011,plain,
! [X0: $i] :
( s_r(iPr_def_11,sK1,X0)
| ( sK1 = sK4 )
| ( sK1 = sK2 )
| ~ s_r(sK4,sK1,X0) ),
inference(superposition,[status(thm)],[c_27963,c_181]) ).
tcf(c_28012,plain,
( s_t(iPr_def_11,sK1,sK4)
| s_t(sK4,iPr_def_11,sK1)
| s_t(sK1,sK4,iPr_def_11)
| ( sK1 = sK4 )
| ( sK1 = sK2 ) ),
inference(superposition,[status(thm)],[c_27963,c_250]) ).
tcf(c_28013,plain,
( sameside(sK1,sK4,iPr_def_11)
| s_t(sK1,sK4,iPr_def_11)
| ( sK1 = sK4 )
| ( sK1 = sK2 ) ),
inference(superposition,[status(thm)],[c_27963,c_134]) ).
tcf(c_28014,plain,
( s_col(sK1,iPr_def_11,sK4)
| ( sK1 = sK4 )
| ( sK1 = sK2 ) ),
inference(superposition,[status(thm)],[c_27963,c_98]) ).
tcf(c_28015,plain,
( s_col(sK4,sK1,iPr_def_11)
| ( sK1 = sK4 )
| ( sK1 = sK2 ) ),
inference(superposition,[status(thm)],[c_27963,c_97]) ).
tcf(c_28016,plain,
( s_col(iPr_def_11,sK4,sK1)
| ( sK1 = sK4 )
| ( sK1 = sK2 ) ),
inference(superposition,[status(thm)],[c_27963,c_96]) ).
tcf(c_28017,plain,
( s_col(iPr_def_11,sK1,sK4)
| ( sK1 = sK4 )
| ( sK1 = sK2 ) ),
inference(superposition,[status(thm)],[c_27963,c_95]) ).
tcf(c_28018,plain,
( s_col(sK4,iPr_def_11,sK1)
| ( sK1 = sK4 )
| ( sK1 = sK2 ) ),
inference(superposition,[status(thm)],[c_27963,c_94]) ).
tcf(c_28071,plain,
! [X0: $i] :
( s_r(sK3,sK0,s(sK0,X0))
| ( sK0 = sK4 )
| ~ s_r(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_182,c_18790]) ).
tcf(c_28072,plain,
( s_r(sK3,sK0,sK0)
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_183,c_18790]) ).
tcf(c_28083,plain,
! [X0: $i] :
( s_r(sK3,sK2,s(sK2,X0))
| ( sK2 = sK5 )
| ~ s_r(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_182,c_18791]) ).
tcf(c_28084,plain,
( s_r(sK3,sK2,sK2)
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_183,c_18791]) ).
tcf(c_28103,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(midpoint(X1,X0),X1,X0,X2)
| ~ s_t(X0,midpoint(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_8885,c_261]) ).
tcf(c_28104,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(midpoint(X0,X1),X2,X1,midpoint(X0,X1))
| ~ s_t(midpoint(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_8885,c_113]) ).
tcf(c_28123,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_28124,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_28125,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_28127,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_28128,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_28129,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_28130,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ( ext(X0,sK1,sK2,sK5) = sK0 )
| ~ s_t(X0,sK1,sK0) ),
inference(superposition,[status(thm)],[c_5721,c_68]) ).
tcf(c_28131,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_277,c_68]) ).
tcf(c_28132,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midpoint(X1,X2) = X0 )
| ( ext(X0,midpoint(X1,X2),midpoint(X1,X2),X2) = X1 )
| ~ s_t(X0,midpoint(X1,X2),X1) ),
inference(superposition,[status(thm)],[c_1804,c_68]) ).
tcf(c_28133,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( ext(X0,iPr_def_10,iPr_def_10,sK5) = sK0 )
| ~ s_t(X0,iPr_def_10,sK0) ),
inference(superposition,[status(thm)],[c_8164,c_68]) ).
tcf(c_28134,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ( ext(X0,iPr_def_11,iPr_def_11,sK1) = sK2 )
| ~ s_t(X0,iPr_def_11,sK2) ),
inference(superposition,[status(thm)],[c_8166,c_68]) ).
tcf(c_28135,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_8176,c_68]) ).
tcf(c_28136,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_8183,c_68]) ).
tcf(c_28137,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midpoint(X1,X2) = X0 )
| ( ext(X0,midpoint(X1,X2),midpoint(X1,X2),X1) = X2 )
| ~ s_t(X0,midpoint(X1,X2),X2) ),
inference(superposition,[status(thm)],[c_8226,c_68]) ).
tcf(c_28138,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( ext(X0,iPr_def_10,iPr_def_10,sK0) = sK5 )
| ~ s_t(X0,iPr_def_10,sK5) ),
inference(superposition,[status(thm)],[c_8232,c_68]) ).
tcf(c_28139,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ( ext(X0,iPr_def_11,iPr_def_11,sK2) = sK1 )
| ~ s_t(X0,iPr_def_11,sK1) ),
inference(superposition,[status(thm)],[c_8238,c_68]) ).
tcf(c_28140,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_8406,c_68]) ).
tcf(c_28141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X3,s(midpoint(X1,X3),X2)) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8408,c_68]) ).
tcf(c_28142,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK0 )
| ( ext(X0,sK0,sK5,s(iPr_def_10,X1)) = X1 )
| ~ s_t(X0,sK0,X1) ),
inference(superposition,[status(thm)],[c_8409,c_68]) ).
tcf(c_28143,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,sK1,s(iPr_def_11,X1)) = X1 )
| ~ s_t(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_8410,c_68]) ).
tcf(c_28144,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK5 )
| ( ext(X0,sK5,sK0,s(iPr_def_10,X1)) = X1 )
| ~ s_t(X0,sK5,X1) ),
inference(superposition,[status(thm)],[c_8411,c_68]) ).
tcf(c_28145,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK1 )
| ( ext(X0,sK1,sK2,s(iPr_def_11,X1)) = X1 )
| ~ s_t(X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_8412,c_68]) ).
tcf(c_28146,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_8413,c_68]) ).
tcf(c_28147,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_8414,c_68]) ).
tcf(c_28148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,s(midpoint(X2,X3),X1),X3) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8415,c_68]) ).
tcf(c_28149,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,s(iPr_def_10,X1),sK5) = sK0 )
| ~ s_t(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_8416,c_68]) ).
tcf(c_28150,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,s(iPr_def_11,X1),sK1) = sK2 )
| ~ s_t(X0,X1,sK2) ),
inference(superposition,[status(thm)],[c_8417,c_68]) ).
tcf(c_28151,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,s(iPr_def_10,X1),sK0) = sK5 )
| ~ s_t(X0,X1,sK5) ),
inference(superposition,[status(thm)],[c_8418,c_68]) ).
tcf(c_28152,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,s(iPr_def_11,X1),sK2) = sK1 )
| ~ s_t(X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_8419,c_68]) ).
tcf(c_28153,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK0 )
| ( ext(X0,sK0,sK5,X1) = s(iPr_def_10,X1) )
| ~ s_t(X0,sK0,s(iPr_def_10,X1)) ),
inference(superposition,[status(thm)],[c_8433,c_68]) ).
tcf(c_28154,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ( ext(X0,sK0,sK5,iPr_def_10) = iPr_def_10 )
| ~ s_t(X0,sK0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8434,c_68]) ).
tcf(c_28155,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,sK1,X1) = s(iPr_def_11,X1) )
| ~ s_t(X0,sK2,s(iPr_def_11,X1)) ),
inference(superposition,[status(thm)],[c_8438,c_68]) ).
tcf(c_28156,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,sK1,iPr_def_11) = iPr_def_11 )
| ~ s_t(X0,sK2,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8439,c_68]) ).
tcf(c_28157,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK5 )
| ( ext(X0,sK5,sK0,X1) = s(iPr_def_10,X1) )
| ~ s_t(X0,sK5,s(iPr_def_10,X1)) ),
inference(superposition,[status(thm)],[c_8443,c_68]) ).
tcf(c_28158,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ( ext(X0,sK5,sK0,iPr_def_10) = iPr_def_10 )
| ~ s_t(X0,sK5,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8444,c_68]) ).
tcf(c_28159,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK1 )
| ( ext(X0,sK1,sK2,X1) = s(iPr_def_11,X1) )
| ~ s_t(X0,sK1,s(iPr_def_11,X1)) ),
inference(superposition,[status(thm)],[c_8448,c_68]) ).
tcf(c_28160,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ( ext(X0,sK1,sK2,iPr_def_11) = iPr_def_11 )
| ~ s_t(X0,sK1,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8449,c_68]) ).
tcf(c_28161,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_8453,c_68]) ).
tcf(c_28162,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,midpoint(X1,X2)) = midpoint(X1,X2) )
| ~ s_t(X0,X1,midpoint(X1,X2)) ),
inference(superposition,[status(thm)],[c_8455,c_68]) ).
tcf(c_28163,plain,
! [X0: $i,X1: $i] :
( ( s(iPr_def_10,X1) = X0 )
| ( ext(X0,s(iPr_def_10,X1),X1,sK5) = sK0 )
| ~ s_t(X0,s(iPr_def_10,X1),sK0) ),
inference(superposition,[status(thm)],[c_8462,c_68]) ).
tcf(c_28164,plain,
! [X0: $i,X1: $i] :
( ( s(iPr_def_11,X1) = X0 )
| ( ext(X0,s(iPr_def_11,X1),X1,sK1) = sK2 )
| ~ s_t(X0,s(iPr_def_11,X1),sK2) ),
inference(superposition,[status(thm)],[c_8467,c_68]) ).
tcf(c_28165,plain,
! [X0: $i,X1: $i] :
( ( s(iPr_def_10,X1) = X0 )
| ( ext(X0,s(iPr_def_10,X1),X1,sK0) = sK5 )
| ~ s_t(X0,s(iPr_def_10,X1),sK5) ),
inference(superposition,[status(thm)],[c_8472,c_68]) ).
tcf(c_28166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X3,s(midpoint(X3,X1),X2)) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8479,c_68]) ).
tcf(c_28167,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_8484,c_68]) ).
tcf(c_28168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(midpoint(X1,X2),X3) = X0 )
| ( ext(X0,s(midpoint(X1,X2),X3),X3,X2) = X1 )
| ~ s_t(X0,s(midpoint(X1,X2),X3),X1) ),
inference(superposition,[status(thm)],[c_8486,c_68]) ).
tcf(c_28169,plain,
! [X0: $i,X1: $i] :
( ( s(iPr_def_11,X1) = X0 )
| ( ext(X0,s(iPr_def_11,X1),X1,sK2) = sK1 )
| ~ s_t(X0,s(iPr_def_11,X1),sK1) ),
inference(superposition,[status(thm)],[c_8490,c_68]) ).
tcf(c_28170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = s(midpoint(X1,X2),X3) )
| ~ s_t(X0,X1,s(midpoint(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_8606,c_68]) ).
tcf(c_28171,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,s(midpoint(X3,X2),X1),X3) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8726,c_68]) ).
tcf(c_28172,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_8752,c_68]) ).
tcf(c_28173,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,sK1,sK0) = sK5 )
| ~ s_t(X0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_8756,c_68]) ).
tcf(c_28174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,X3) = s(midpoint(X2,X1),X3) )
| ~ s_t(X0,X1,s(midpoint(X2,X1),X3)) ),
inference(superposition,[status(thm)],[c_8766,c_68]) ).
tcf(c_28175,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_8786,c_68]) ).
tcf(c_28176,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_8789,c_68]) ).
tcf(c_28177,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ( ext(X0,sK0,sK2,sK5) = sK1 )
| ~ s_t(X0,sK0,sK1) ),
inference(superposition,[status(thm)],[c_8790,c_68]) ).
tcf(c_28178,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,midpoint(X1,X2),X2) = midpoint(X1,X2) )
| ~ s_t(X0,X1,midpoint(X1,X2)) ),
inference(superposition,[status(thm)],[c_8791,c_68]) ).
tcf(c_28179,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ( ext(X0,sK0,iPr_def_10,sK5) = iPr_def_10 )
| ~ s_t(X0,sK0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8792,c_68]) ).
tcf(c_28180,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,iPr_def_11,sK1) = iPr_def_11 )
| ~ s_t(X0,sK2,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8793,c_68]) ).
tcf(c_28181,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_8794,c_68]) ).
tcf(c_28182,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_8795,c_68]) ).
tcf(c_28183,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,midpoint(X2,X1),X2) = midpoint(X2,X1) )
| ~ s_t(X0,X1,midpoint(X2,X1)) ),
inference(superposition,[status(thm)],[c_8796,c_68]) ).
tcf(c_28184,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ( ext(X0,sK5,iPr_def_10,sK0) = iPr_def_10 )
| ~ s_t(X0,sK5,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8797,c_68]) ).
tcf(c_28185,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ( ext(X0,sK1,iPr_def_11,sK2) = iPr_def_11 )
| ~ s_t(X0,sK1,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8798,c_68]) ).
tcf(c_28186,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_8799,c_68]) ).
tcf(c_28187,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X3,s(midpoint(X2,X3),X1)) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8800,c_68]) ).
tcf(c_28188,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,sK5,s(iPr_def_10,X1)) = sK0 )
| ~ s_t(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_8801,c_68]) ).
tcf(c_28189,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,sK1,s(iPr_def_11,X1)) = sK2 )
| ~ s_t(X0,X1,sK2) ),
inference(superposition,[status(thm)],[c_8802,c_68]) ).
tcf(c_28190,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,sK0,s(iPr_def_10,X1)) = sK5 )
| ~ s_t(X0,X1,sK5) ),
inference(superposition,[status(thm)],[c_8803,c_68]) ).
tcf(c_28191,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,sK2,s(iPr_def_11,X1)) = sK1 )
| ~ s_t(X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_8804,c_68]) ).
tcf(c_28192,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_8805,c_68]) ).
tcf(c_28193,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_8806,c_68]) ).
tcf(c_28194,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK0 )
| ( ext(X0,sK0,s(iPr_def_10,X1),sK5) = X1 )
| ~ s_t(X0,sK0,X1) ),
inference(superposition,[status(thm)],[c_8807,c_68]) ).
tcf(c_28195,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,s(iPr_def_11,X1),sK1) = X1 )
| ~ s_t(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_8808,c_68]) ).
tcf(c_28196,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK5 )
| ( ext(X0,sK5,s(iPr_def_10,X1),sK0) = X1 )
| ~ s_t(X0,sK5,X1) ),
inference(superposition,[status(thm)],[c_8809,c_68]) ).
tcf(c_28197,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( ext(X0,iPr_def_10,sK5,iPr_def_10) = sK0 )
| ~ s_t(X0,iPr_def_10,sK0) ),
inference(superposition,[status(thm)],[c_8810,c_68]) ).
tcf(c_28198,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ( ext(X0,iPr_def_11,sK1,iPr_def_11) = sK2 )
| ~ s_t(X0,iPr_def_11,sK2) ),
inference(superposition,[status(thm)],[c_8811,c_68]) ).
tcf(c_28199,plain,
! [X0: $i] :
( ( X0 = iPr_def_10 )
| ( ext(X0,iPr_def_10,sK0,iPr_def_10) = sK5 )
| ~ s_t(X0,iPr_def_10,sK5) ),
inference(superposition,[status(thm)],[c_8812,c_68]) ).
tcf(c_28200,plain,
! [X0: $i] :
( ( X0 = iPr_def_11 )
| ( ext(X0,iPr_def_11,sK2,iPr_def_11) = sK1 )
| ~ s_t(X0,iPr_def_11,sK1) ),
inference(superposition,[status(thm)],[c_8813,c_68]) ).
tcf(c_28201,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ( ext(X0,sK5,sK1,sK0) = sK2 )
| ~ s_t(X0,sK5,sK2) ),
inference(superposition,[status(thm)],[c_8845,c_68]) ).
tcf(c_28202,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,sK0,sK1) = sK5 )
| ~ s_t(X0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_8848,c_68]) ).
tcf(c_28203,plain,
! [X0: $i] :
( ( X0 = sK1 )
| ( ext(X0,sK1,sK5,sK2) = sK0 )
| ~ s_t(X0,sK1,sK0) ),
inference(superposition,[status(thm)],[c_8850,c_68]) ).
tcf(c_28204,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ( ext(X0,sK5,sK0,sK1) = sK2 )
| ~ s_t(X0,sK5,sK2) ),
inference(superposition,[status(thm)],[c_8851,c_68]) ).
tcf(c_28205,plain,
! [X0: $i] :
( ( X0 = sK0 )
| ( ext(X0,sK0,sK5,sK2) = sK1 )
| ~ s_t(X0,sK0,sK1) ),
inference(superposition,[status(thm)],[c_8853,c_68]) ).
tcf(c_28206,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,s(midpoint(X1,X3),X2),X3) = X2 )
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8873,c_68]) ).
tcf(c_28207,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( s(midpoint(X1,X2),X3) = X0 )
| ( ext(X0,s(midpoint(X1,X2),X3),X3,X1) = X2 )
| ~ s_t(X0,s(midpoint(X1,X2),X3),X2) ),
inference(superposition,[status(thm)],[c_8874,c_68]) ).
tcf(c_28208,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_8880,c_68]) ).
tcf(c_28209,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midpoint(X1,X2) = X0 )
| ( ext(X0,midpoint(X1,X2),X2,midpoint(X1,X2)) = X1 )
| ~ s_t(X0,midpoint(X1,X2),X1) ),
inference(superposition,[status(thm)],[c_8885,c_68]) ).
tcf(c_28210,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_8889,c_68]) ).
tcf(c_28211,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK1 )
| ( ext(X0,sK1,s(iPr_def_11,X1),sK2) = X1 )
| ~ s_t(X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_8898,c_68]) ).
tcf(c_28212,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK0 )
| ( ext(X0,sK0,X1,sK5) = s(iPr_def_10,X1) )
| ~ s_t(X0,sK0,s(iPr_def_10,X1)) ),
inference(superposition,[status(thm)],[c_9156,c_68]) ).
tcf(c_28213,plain,
! [X0: $i,X1: $i] :
( ( s(iPr_def_10,X1) = X0 )
| ( ext(X0,s(iPr_def_10,X1),sK5,X1) = sK0 )
| ~ s_t(X0,s(iPr_def_10,X1),sK0) ),
inference(superposition,[status(thm)],[c_9157,c_68]) ).
tcf(c_28214,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,X1,sK1) = s(iPr_def_11,X1) )
| ~ s_t(X0,sK2,s(iPr_def_11,X1)) ),
inference(superposition,[status(thm)],[c_9346,c_68]) ).
tcf(c_28215,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,s(X1,sK1),s(X1,sK0)) = sK5 )
| ~ s_t(X0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14740,c_68]) ).
tcf(c_28216,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,sK1,s(X1,sK0)) = sK5 )
| ~ s_r(sK1,X1,sK0)
| ~ s_t(X0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14742,c_68]) ).
tcf(c_28217,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,sK1,s(sK1,sK0)) = sK5 )
| ~ s_t(X0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14743,c_68]) ).
tcf(c_28218,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,X1,s(midpoint(sK1,X1),sK0)) = sK5 )
| ~ s_t(X0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14744,c_68]) ).
tcf(c_28219,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,sK2,s(iPr_def_11,sK0)) = sK5 )
| ~ s_t(X0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14745,c_68]) ).
tcf(c_28220,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,s(sK0,sK1),sK0) = sK5 )
| ~ s_t(X0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14746,c_68]) ).
tcf(c_28221,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,s(midpoint(sK0,X1),sK1),X1) = sK5 )
| ~ s_t(X0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14747,c_68]) ).
tcf(c_28222,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,s(iPr_def_10,sK1),sK5) = sK5 )
| ~ s_t(X0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14748,c_68]) ).
tcf(c_28223,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,X1,s(midpoint(X1,sK1),sK0)) = sK5 )
| ~ s_t(X0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14749,c_68]) ).
tcf(c_28224,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,s(midpoint(X1,sK0),sK1),X1) = sK5 )
| ~ s_t(X0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14750,c_68]) ).
tcf(c_28225,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,X1,ext(X2,X1,sK1,sK0)) = sK5 )
| ~ s_t(X0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14751,c_68]) ).
tcf(c_28226,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,sK0,s(sK0,sK1)) = sK5 )
| ~ s_t(X0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14752,c_68]) ).
tcf(c_28227,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,sK5,s(iPr_def_10,sK1)) = sK5 )
| ~ s_t(X0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14753,c_68]) ).
tcf(c_28228,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,s(sK1,sK0),sK1) = sK5 )
| ~ s_t(X0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14754,c_68]) ).
tcf(c_28229,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,s(iPr_def_11,sK0),sK2) = sK5 )
| ~ s_t(X0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14756,c_68]) ).
tcf(c_28230,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK2 )
| ( ext(X0,sK2,s(X1,sK0),s(X1,sK1)) = sK5 )
| ~ s_t(X0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_15120,c_68]) ).
tcf(c_28927,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_28928,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_28929,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_28930,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_28931,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_28932,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_28933,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_28934,plain,
! [X0: $i] :
( s_t(sK2,ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0),sK5)
| ~ s_t(sK1,X0,sK0) ),
inference(superposition,[status(thm)],[c_5721,c_91]) ).
tcf(c_28935,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_277,c_91]) ).
tcf(c_28936,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(midpoint(X0,X1),ext(ext(X1,midpoint(X0,X1),alpha,gamma),midpoint(X0,X1),midpoint(X0,X1),X2),X1)
| ~ s_t(midpoint(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_1804,c_91]) ).
tcf(c_28937,plain,
! [X0: $i] :
( s_t(iPr_def_10,ext(ext(sK5,iPr_def_10,alpha,gamma),iPr_def_10,iPr_def_10,X0),sK5)
| ~ s_t(iPr_def_10,X0,sK0) ),
inference(superposition,[status(thm)],[c_8164,c_91]) ).
tcf(c_28938,plain,
! [X0: $i] :
( s_t(iPr_def_11,ext(ext(sK1,iPr_def_11,alpha,gamma),iPr_def_11,iPr_def_11,X0),sK1)
| ~ s_t(iPr_def_11,X0,sK2) ),
inference(superposition,[status(thm)],[c_8166,c_91]) ).
tcf(c_28939,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_8176,c_91]) ).
tcf(c_28940,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_8183,c_91]) ).
tcf(c_28941,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(midpoint(X0,X1),ext(ext(X0,midpoint(X0,X1),alpha,gamma),midpoint(X0,X1),midpoint(X0,X1),X2),X0)
| ~ s_t(midpoint(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_8226,c_91]) ).
tcf(c_28942,plain,
! [X0: $i] :
( s_t(iPr_def_10,ext(ext(sK0,iPr_def_10,alpha,gamma),iPr_def_10,iPr_def_10,X0),sK0)
| ~ s_t(iPr_def_10,X0,sK5) ),
inference(superposition,[status(thm)],[c_8232,c_91]) ).
tcf(c_28943,plain,
! [X0: $i] :
( s_t(iPr_def_11,ext(ext(sK2,iPr_def_11,alpha,gamma),iPr_def_11,iPr_def_11,X0),sK2)
| ~ s_t(iPr_def_11,X0,sK1) ),
inference(superposition,[status(thm)],[c_8238,c_91]) ).
tcf(c_28944,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_8406,c_91]) ).
tcf(c_28945,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,ext(ext(s(midpoint(X0,X3),X2),X3,alpha,gamma),X3,X0,X1),s(midpoint(X0,X3),X2))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8408,c_91]) ).
tcf(c_28946,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,ext(ext(s(iPr_def_10,X1),sK5,alpha,gamma),sK5,sK0,X0),s(iPr_def_10,X1))
| ~ s_t(sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8409,c_91]) ).
tcf(c_28947,plain,
! [X0: $i,X1: $i] :
( s_t(sK1,ext(ext(s(iPr_def_11,X1),sK1,alpha,gamma),sK1,sK2,X0),s(iPr_def_11,X1))
| ~ s_t(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_8410,c_91]) ).
tcf(c_28948,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,ext(ext(s(iPr_def_10,X1),sK0,alpha,gamma),sK0,sK5,X0),s(iPr_def_10,X1))
| ~ s_t(sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_8411,c_91]) ).
tcf(c_28949,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,ext(ext(s(iPr_def_11,X1),sK2,alpha,gamma),sK2,sK1,X0),s(iPr_def_11,X1))
| ~ s_t(sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_8412,c_91]) ).
tcf(c_28950,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_8413,c_91]) ).
tcf(c_28951,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_8414,c_91]) ).
tcf(c_28952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(midpoint(X2,X3),X0),ext(ext(X3,s(midpoint(X2,X3),X0),alpha,gamma),s(midpoint(X2,X3),X0),X0,X1),X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8415,c_91]) ).
tcf(c_28953,plain,
! [X0: $i,X1: $i] :
( s_t(s(iPr_def_10,X0),ext(ext(sK5,s(iPr_def_10,X0),alpha,gamma),s(iPr_def_10,X0),X0,X1),sK5)
| ~ s_t(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_8416,c_91]) ).
tcf(c_28954,plain,
! [X0: $i,X1: $i] :
( s_t(s(iPr_def_11,X0),ext(ext(sK1,s(iPr_def_11,X0),alpha,gamma),s(iPr_def_11,X0),X0,X1),sK1)
| ~ s_t(X0,X1,sK2) ),
inference(superposition,[status(thm)],[c_8417,c_91]) ).
tcf(c_28955,plain,
! [X0: $i,X1: $i] :
( s_t(s(iPr_def_10,X0),ext(ext(sK0,s(iPr_def_10,X0),alpha,gamma),s(iPr_def_10,X0),X0,X1),sK0)
| ~ s_t(X0,X1,sK5) ),
inference(superposition,[status(thm)],[c_8418,c_91]) ).
tcf(c_28956,plain,
! [X0: $i,X1: $i] :
( s_t(s(iPr_def_11,X0),ext(ext(sK2,s(iPr_def_11,X0),alpha,gamma),s(iPr_def_11,X0),X0,X1),sK2)
| ~ s_t(X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_8419,c_91]) ).
tcf(c_28957,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,ext(ext(X1,sK5,alpha,gamma),sK5,sK0,X0),X1)
| ~ s_t(sK0,X0,s(iPr_def_10,X1)) ),
inference(superposition,[status(thm)],[c_8433,c_91]) ).
tcf(c_28958,plain,
! [X0: $i] :
( s_t(sK5,ext(ext(iPr_def_10,sK5,alpha,gamma),sK5,sK0,X0),iPr_def_10)
| ~ s_t(sK0,X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8434,c_91]) ).
tcf(c_28959,plain,
! [X0: $i,X1: $i] :
( s_t(sK1,ext(ext(X1,sK1,alpha,gamma),sK1,sK2,X0),X1)
| ~ s_t(sK2,X0,s(iPr_def_11,X1)) ),
inference(superposition,[status(thm)],[c_8438,c_91]) ).
tcf(c_28960,plain,
! [X0: $i] :
( s_t(sK1,ext(ext(iPr_def_11,sK1,alpha,gamma),sK1,sK2,X0),iPr_def_11)
| ~ s_t(sK2,X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8439,c_91]) ).
tcf(c_28961,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,ext(ext(X1,sK0,alpha,gamma),sK0,sK5,X0),X1)
| ~ s_t(sK5,X0,s(iPr_def_10,X1)) ),
inference(superposition,[status(thm)],[c_8443,c_91]) ).
tcf(c_28962,plain,
! [X0: $i] :
( s_t(sK0,ext(ext(iPr_def_10,sK0,alpha,gamma),sK0,sK5,X0),iPr_def_10)
| ~ s_t(sK5,X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8444,c_91]) ).
tcf(c_28963,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,ext(ext(X1,sK2,alpha,gamma),sK2,sK1,X0),X1)
| ~ s_t(sK1,X0,s(iPr_def_11,X1)) ),
inference(superposition,[status(thm)],[c_8448,c_91]) ).
tcf(c_28964,plain,
! [X0: $i] :
( s_t(sK2,ext(ext(iPr_def_11,sK2,alpha,gamma),sK2,sK1,X0),iPr_def_11)
| ~ s_t(sK1,X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8449,c_91]) ).
tcf(c_28965,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_8453,c_91]) ).
tcf(c_28966,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,ext(ext(midpoint(X0,X2),X2,alpha,gamma),X2,X0,X1),midpoint(X0,X2))
| ~ s_t(X0,X1,midpoint(X0,X2)) ),
inference(superposition,[status(thm)],[c_8455,c_91]) ).
tcf(c_28967,plain,
! [X0: $i,X1: $i] :
( s_t(X0,ext(ext(sK5,X0,alpha,gamma),X0,s(iPr_def_10,X0),X1),sK5)
| ~ s_t(s(iPr_def_10,X0),X1,sK0) ),
inference(superposition,[status(thm)],[c_8462,c_91]) ).
tcf(c_28968,plain,
! [X0: $i,X1: $i] :
( s_t(X0,ext(ext(sK1,X0,alpha,gamma),X0,s(iPr_def_11,X0),X1),sK1)
| ~ s_t(s(iPr_def_11,X0),X1,sK2) ),
inference(superposition,[status(thm)],[c_8467,c_91]) ).
tcf(c_28969,plain,
! [X0: $i,X1: $i] :
( s_t(X0,ext(ext(sK0,X0,alpha,gamma),X0,s(iPr_def_10,X0),X1),sK0)
| ~ s_t(s(iPr_def_10,X0),X1,sK5) ),
inference(superposition,[status(thm)],[c_8472,c_91]) ).
tcf(c_28970,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,ext(ext(s(midpoint(X3,X0),X2),X3,alpha,gamma),X3,X0,X1),s(midpoint(X3,X0),X2))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8479,c_91]) ).
tcf(c_28971,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_8484,c_91]) ).
tcf(c_28972,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,ext(ext(X1,X2,alpha,gamma),X2,s(midpoint(X0,X1),X2),X3),X1)
| ~ s_t(s(midpoint(X0,X1),X2),X3,X0) ),
inference(superposition,[status(thm)],[c_8486,c_91]) ).
tcf(c_28973,plain,
! [X0: $i,X1: $i] :
( s_t(X0,ext(ext(sK2,X0,alpha,gamma),X0,s(iPr_def_11,X0),X1),sK2)
| ~ s_t(s(iPr_def_11,X0),X1,sK1) ),
inference(superposition,[status(thm)],[c_8490,c_91]) ).
tcf(c_28974,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,s(midpoint(X0,X2),X3)) ),
inference(superposition,[status(thm)],[c_8606,c_91]) ).
tcf(c_28975,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(midpoint(X3,X2),X0),ext(ext(X3,s(midpoint(X3,X2),X0),alpha,gamma),s(midpoint(X3,X2),X0),X0,X1),X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8726,c_91]) ).
tcf(c_28976,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_8752,c_91]) ).
tcf(c_28977,plain,
! [X0: $i] :
( s_t(sK1,ext(ext(sK0,sK1,alpha,gamma),sK1,sK2,X0),sK0)
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_8756,c_91]) ).
tcf(c_28978,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,s(midpoint(X2,X0),X3)) ),
inference(superposition,[status(thm)],[c_8766,c_91]) ).
tcf(c_28979,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_8786,c_91]) ).
tcf(c_28980,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_8789,c_91]) ).
tcf(c_28981,plain,
! [X0: $i] :
( s_t(sK2,ext(ext(sK5,sK2,alpha,gamma),sK2,sK0,X0),sK5)
| ~ s_t(sK0,X0,sK1) ),
inference(superposition,[status(thm)],[c_8790,c_91]) ).
tcf(c_28982,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(midpoint(X0,X2),ext(ext(X2,midpoint(X0,X2),alpha,gamma),midpoint(X0,X2),X0,X1),X2)
| ~ s_t(X0,X1,midpoint(X0,X2)) ),
inference(superposition,[status(thm)],[c_8791,c_91]) ).
tcf(c_28983,plain,
! [X0: $i] :
( s_t(iPr_def_10,ext(ext(sK5,iPr_def_10,alpha,gamma),iPr_def_10,sK0,X0),sK5)
| ~ s_t(sK0,X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8792,c_91]) ).
tcf(c_28984,plain,
! [X0: $i] :
( s_t(iPr_def_11,ext(ext(sK1,iPr_def_11,alpha,gamma),iPr_def_11,sK2,X0),sK1)
| ~ s_t(sK2,X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8793,c_91]) ).
tcf(c_28985,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_8794,c_91]) ).
tcf(c_28986,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_8795,c_91]) ).
tcf(c_28987,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(midpoint(X2,X0),ext(ext(X2,midpoint(X2,X0),alpha,gamma),midpoint(X2,X0),X0,X1),X2)
| ~ s_t(X0,X1,midpoint(X2,X0)) ),
inference(superposition,[status(thm)],[c_8796,c_91]) ).
tcf(c_28988,plain,
! [X0: $i] :
( s_t(iPr_def_10,ext(ext(sK0,iPr_def_10,alpha,gamma),iPr_def_10,sK5,X0),sK0)
| ~ s_t(sK5,X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8797,c_91]) ).
tcf(c_28989,plain,
! [X0: $i] :
( s_t(iPr_def_11,ext(ext(sK2,iPr_def_11,alpha,gamma),iPr_def_11,sK1,X0),sK2)
| ~ s_t(sK1,X0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8798,c_91]) ).
tcf(c_28990,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_8799,c_91]) ).
tcf(c_28991,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,ext(ext(s(midpoint(X2,X3),X0),X3,alpha,gamma),X3,X0,X1),s(midpoint(X2,X3),X0))
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8800,c_91]) ).
tcf(c_28992,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,ext(ext(s(iPr_def_10,X0),sK5,alpha,gamma),sK5,X0,X1),s(iPr_def_10,X0))
| ~ s_t(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_8801,c_91]) ).
tcf(c_28993,plain,
! [X0: $i,X1: $i] :
( s_t(sK1,ext(ext(s(iPr_def_11,X0),sK1,alpha,gamma),sK1,X0,X1),s(iPr_def_11,X0))
| ~ s_t(X0,X1,sK2) ),
inference(superposition,[status(thm)],[c_8802,c_91]) ).
tcf(c_28994,plain,
! [X0: $i,X1: $i] :
( s_t(sK0,ext(ext(s(iPr_def_10,X0),sK0,alpha,gamma),sK0,X0,X1),s(iPr_def_10,X0))
| ~ s_t(X0,X1,sK5) ),
inference(superposition,[status(thm)],[c_8803,c_91]) ).
tcf(c_28995,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,ext(ext(s(iPr_def_11,X0),sK2,alpha,gamma),sK2,X0,X1),s(iPr_def_11,X0))
| ~ s_t(X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_8804,c_91]) ).
tcf(c_28996,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_8805,c_91]) ).
tcf(c_28997,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_8806,c_91]) ).
tcf(c_28998,plain,
! [X0: $i,X1: $i] :
( s_t(s(iPr_def_10,X1),ext(ext(sK5,s(iPr_def_10,X1),alpha,gamma),s(iPr_def_10,X1),sK0,X0),sK5)
| ~ s_t(sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8807,c_91]) ).
tcf(c_28999,plain,
! [X0: $i,X1: $i] :
( s_t(s(iPr_def_11,X1),ext(ext(sK1,s(iPr_def_11,X1),alpha,gamma),s(iPr_def_11,X1),sK2,X0),sK1)
| ~ s_t(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_8808,c_91]) ).
tcf(c_29000,plain,
! [X0: $i,X1: $i] :
( s_t(s(iPr_def_10,X1),ext(ext(sK0,s(iPr_def_10,X1),alpha,gamma),s(iPr_def_10,X1),sK5,X0),sK0)
| ~ s_t(sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_8809,c_91]) ).
tcf(c_29001,plain,
! [X0: $i] :
( s_t(sK5,ext(ext(iPr_def_10,sK5,alpha,gamma),sK5,iPr_def_10,X0),iPr_def_10)
| ~ s_t(iPr_def_10,X0,sK0) ),
inference(superposition,[status(thm)],[c_8810,c_91]) ).
tcf(c_29002,plain,
! [X0: $i] :
( s_t(sK1,ext(ext(iPr_def_11,sK1,alpha,gamma),sK1,iPr_def_11,X0),iPr_def_11)
| ~ s_t(iPr_def_11,X0,sK2) ),
inference(superposition,[status(thm)],[c_8811,c_91]) ).
tcf(c_29003,plain,
! [X0: $i] :
( s_t(sK0,ext(ext(iPr_def_10,sK0,alpha,gamma),sK0,iPr_def_10,X0),iPr_def_10)
| ~ s_t(iPr_def_10,X0,sK5) ),
inference(superposition,[status(thm)],[c_8812,c_91]) ).
tcf(c_29004,plain,
! [X0: $i] :
( s_t(sK2,ext(ext(iPr_def_11,sK2,alpha,gamma),sK2,iPr_def_11,X0),iPr_def_11)
| ~ s_t(iPr_def_11,X0,sK1) ),
inference(superposition,[status(thm)],[c_8813,c_91]) ).
tcf(c_29005,plain,
! [X0: $i] :
( s_t(sK1,ext(ext(sK0,sK1,alpha,gamma),sK1,sK5,X0),sK0)
| ~ s_t(sK5,X0,sK2) ),
inference(superposition,[status(thm)],[c_8845,c_91]) ).
tcf(c_29006,plain,
! [X0: $i] :
( s_t(sK0,ext(ext(sK1,sK0,alpha,gamma),sK0,sK2,X0),sK1)
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_8848,c_91]) ).
tcf(c_29007,plain,
! [X0: $i] :
( s_t(sK5,ext(ext(sK2,sK5,alpha,gamma),sK5,sK1,X0),sK2)
| ~ s_t(sK1,X0,sK0) ),
inference(superposition,[status(thm)],[c_8850,c_91]) ).
tcf(c_29008,plain,
! [X0: $i] :
( s_t(sK0,ext(ext(sK1,sK0,alpha,gamma),sK0,sK5,X0),sK1)
| ~ s_t(sK5,X0,sK2) ),
inference(superposition,[status(thm)],[c_8851,c_91]) ).
tcf(c_29009,plain,
! [X0: $i] :
( s_t(sK5,ext(ext(sK2,sK5,alpha,gamma),sK5,sK0,X0),sK2)
| ~ s_t(sK0,X0,sK1) ),
inference(superposition,[status(thm)],[c_8853,c_91]) ).
tcf(c_29010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(s(midpoint(X0,X3),X2),ext(ext(X3,s(midpoint(X0,X3),X2),alpha,gamma),s(midpoint(X0,X3),X2),X0,X1),X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8873,c_91]) ).
tcf(c_29011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X2,ext(ext(X0,X2,alpha,gamma),X2,s(midpoint(X0,X1),X2),X3),X0)
| ~ s_t(s(midpoint(X0,X1),X2),X3,X1) ),
inference(superposition,[status(thm)],[c_8874,c_91]) ).
tcf(c_29012,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_8880,c_91]) ).
tcf(c_29013,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,ext(ext(midpoint(X0,X1),X1,alpha,gamma),X1,midpoint(X0,X1),X2),midpoint(X0,X1))
| ~ s_t(midpoint(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_8885,c_91]) ).
tcf(c_29014,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_8889,c_91]) ).
tcf(c_29015,plain,
! [X0: $i,X1: $i] :
( s_t(s(iPr_def_11,X1),ext(ext(sK2,s(iPr_def_11,X1),alpha,gamma),s(iPr_def_11,X1),sK1,X0),sK2)
| ~ s_t(sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_8898,c_91]) ).
tcf(c_29016,plain,
! [X0: $i,X1: $i] :
( s_t(X1,ext(ext(sK5,X1,alpha,gamma),X1,sK0,X0),sK5)
| ~ s_t(sK0,X0,s(iPr_def_10,X1)) ),
inference(superposition,[status(thm)],[c_9156,c_91]) ).
tcf(c_29017,plain,
! [X0: $i,X1: $i] :
( s_t(sK5,ext(ext(X0,sK5,alpha,gamma),sK5,s(iPr_def_10,X0),X1),X0)
| ~ s_t(s(iPr_def_10,X0),X1,sK0) ),
inference(superposition,[status(thm)],[c_9157,c_91]) ).
tcf(c_29018,plain,
! [X0: $i,X1: $i] :
( s_t(X1,ext(ext(sK1,X1,alpha,gamma),X1,sK2,X0),sK1)
| ~ s_t(sK2,X0,s(iPr_def_11,X1)) ),
inference(superposition,[status(thm)],[c_9346,c_91]) ).
tcf(c_29019,plain,
! [X0: $i,X1: $i] :
( s_t(s(X1,sK1),ext(ext(s(X1,sK0),s(X1,sK1),alpha,gamma),s(X1,sK1),sK2,X0),s(X1,sK0))
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14740,c_91]) ).
tcf(c_29020,plain,
! [X0: $i,X1: $i] :
( s_t(sK1,ext(ext(s(X1,sK0),sK1,alpha,gamma),sK1,sK2,X0),s(X1,sK0))
| ~ s_r(sK1,X1,sK0)
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14742,c_91]) ).
tcf(c_29021,plain,
! [X0: $i] :
( s_t(sK1,ext(ext(s(sK1,sK0),sK1,alpha,gamma),sK1,sK2,X0),s(sK1,sK0))
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14743,c_91]) ).
tcf(c_29022,plain,
! [X0: $i,X1: $i] :
( s_t(X1,ext(ext(s(midpoint(sK1,X1),sK0),X1,alpha,gamma),X1,sK2,X0),s(midpoint(sK1,X1),sK0))
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14744,c_91]) ).
tcf(c_29023,plain,
! [X0: $i] :
( s_t(sK2,ext(ext(s(iPr_def_11,sK0),sK2,alpha,gamma),sK2,sK2,X0),s(iPr_def_11,sK0))
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14745,c_91]) ).
tcf(c_29024,plain,
! [X0: $i] :
( s_t(s(sK0,sK1),ext(ext(sK0,s(sK0,sK1),alpha,gamma),s(sK0,sK1),sK2,X0),sK0)
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14746,c_91]) ).
tcf(c_29025,plain,
! [X0: $i,X1: $i] :
( s_t(s(midpoint(sK0,X1),sK1),ext(ext(X1,s(midpoint(sK0,X1),sK1),alpha,gamma),s(midpoint(sK0,X1),sK1),sK2,X0),X1)
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14747,c_91]) ).
tcf(c_29026,plain,
! [X0: $i] :
( s_t(s(iPr_def_10,sK1),ext(ext(sK5,s(iPr_def_10,sK1),alpha,gamma),s(iPr_def_10,sK1),sK2,X0),sK5)
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14748,c_91]) ).
tcf(c_29027,plain,
! [X0: $i,X1: $i] :
( s_t(X1,ext(ext(s(midpoint(X1,sK1),sK0),X1,alpha,gamma),X1,sK2,X0),s(midpoint(X1,sK1),sK0))
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14749,c_91]) ).
tcf(c_29028,plain,
! [X0: $i,X1: $i] :
( s_t(s(midpoint(X1,sK0),sK1),ext(ext(X1,s(midpoint(X1,sK0),sK1),alpha,gamma),s(midpoint(X1,sK0),sK1),sK2,X0),X1)
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14750,c_91]) ).
tcf(c_29029,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X1,ext(ext(ext(X2,X1,sK1,sK0),X1,alpha,gamma),X1,sK2,X0),ext(X2,X1,sK1,sK0))
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14751,c_91]) ).
tcf(c_29030,plain,
! [X0: $i] :
( s_t(sK0,ext(ext(s(sK0,sK1),sK0,alpha,gamma),sK0,sK2,X0),s(sK0,sK1))
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14752,c_91]) ).
tcf(c_29031,plain,
! [X0: $i] :
( s_t(sK5,ext(ext(s(iPr_def_10,sK1),sK5,alpha,gamma),sK5,sK2,X0),s(iPr_def_10,sK1))
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14753,c_91]) ).
tcf(c_29032,plain,
! [X0: $i] :
( s_t(s(sK1,sK0),ext(ext(sK1,s(sK1,sK0),alpha,gamma),s(sK1,sK0),sK2,X0),sK1)
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14754,c_91]) ).
tcf(c_29033,plain,
! [X0: $i] :
( s_t(s(iPr_def_11,sK0),ext(ext(sK2,s(iPr_def_11,sK0),alpha,gamma),s(iPr_def_11,sK0),sK2,X0),sK2)
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_14756,c_91]) ).
tcf(c_29034,plain,
! [X0: $i,X1: $i] :
( s_t(s(X1,sK0),ext(ext(s(X1,sK1),s(X1,sK0),alpha,gamma),s(X1,sK0),sK2,X0),s(X1,sK1))
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_15120,c_91]) ).
tcf(c_29579,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_29580,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_29581,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_29582,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_248]) ).
tcf(c_29583,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_247]) ).
tcf(c_29610,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_29611,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_29612,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_29613,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_29614,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_29615,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_29616,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_29617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK2,sK5,X2,X3)
| ~ le(sK1,sK0,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_5721,c_114]) ).
tcf(c_29618,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_277,c_114]) ).
tcf(c_29619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(midpoint(X0,X1),X1,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ le(midpoint(X0,X1),X0,X2,X3) ),
inference(superposition,[status(thm)],[c_1804,c_114]) ).
tcf(c_29620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(iPr_def_10,sK5,X2,X3)
| ~ le(iPr_def_10,sK0,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8164,c_114]) ).
tcf(c_29621,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(iPr_def_11,sK1,X2,X3)
| ~ le(iPr_def_11,sK2,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8166,c_114]) ).
tcf(c_29622,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_8176,c_114]) ).
tcf(c_29623,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_8183,c_114]) ).
tcf(c_29624,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(midpoint(X0,X1),X0,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ le(midpoint(X0,X1),X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8226,c_114]) ).
tcf(c_29625,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(iPr_def_10,sK0,X2,X3)
| ~ le(iPr_def_10,sK5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8232,c_114]) ).
tcf(c_29626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(iPr_def_11,sK2,X2,X3)
| ~ le(iPr_def_11,sK1,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8238,c_114]) ).
tcf(c_29627,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_8406,c_114]) ).
tcf(c_29628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X6,s(midpoint(X4,X6),X5),X2,X3)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8408,c_114]) ).
tcf(c_29629,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(sK5,s(iPr_def_10,X4),X2,X3)
| ~ le(sK0,X4,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8409,c_114]) ).
tcf(c_29630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(sK1,s(iPr_def_11,X4),X2,X3)
| ~ le(sK2,X4,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8410,c_114]) ).
tcf(c_29631,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(sK0,s(iPr_def_10,X4),X2,X3)
| ~ le(sK5,X4,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8411,c_114]) ).
tcf(c_29632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(sK2,s(iPr_def_11,X4),X2,X3)
| ~ le(sK1,X4,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8412,c_114]) ).
tcf(c_29633,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_8413,c_114]) ).
tcf(c_29634,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_8414,c_114]) ).
tcf(c_29635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(s(midpoint(X5,X6),X4),X6,X2,X3)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8415,c_114]) ).
tcf(c_29636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(s(iPr_def_10,X4),sK5,X2,X3)
| ~ le(X4,sK0,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8416,c_114]) ).
tcf(c_29637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(s(iPr_def_11,X4),sK1,X2,X3)
| ~ le(X4,sK2,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8417,c_114]) ).
tcf(c_29638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(s(iPr_def_10,X4),sK0,X2,X3)
| ~ le(X4,sK5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8418,c_114]) ).
tcf(c_29639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(s(iPr_def_11,X4),sK2,X2,X3)
| ~ le(X4,sK1,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8419,c_114]) ).
tcf(c_29640,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(sK5,X0,X3,X4)
| ~ s_e(X1,X2,X3,X4)
| ~ le(sK0,s(iPr_def_10,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_8433,c_114]) ).
tcf(c_29641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK5,iPr_def_10,X2,X3)
| ~ le(sK0,iPr_def_10,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8434,c_114]) ).
tcf(c_29642,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(sK1,X0,X3,X4)
| ~ s_e(X1,X2,X3,X4)
| ~ le(sK2,s(iPr_def_11,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_8438,c_114]) ).
tcf(c_29643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK1,iPr_def_11,X2,X3)
| ~ le(sK2,iPr_def_11,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8439,c_114]) ).
tcf(c_29644,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(sK0,X0,X3,X4)
| ~ s_e(X1,X2,X3,X4)
| ~ le(sK5,s(iPr_def_10,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_8443,c_114]) ).
tcf(c_29645,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK0,iPr_def_10,X2,X3)
| ~ le(sK5,iPr_def_10,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8444,c_114]) ).
tcf(c_29646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(sK2,X0,X3,X4)
| ~ s_e(X1,X2,X3,X4)
| ~ le(sK1,s(iPr_def_11,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_8448,c_114]) ).
tcf(c_29647,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK2,iPr_def_11,X2,X3)
| ~ le(sK1,iPr_def_11,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8449,c_114]) ).
tcf(c_29648,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_8453,c_114]) ).
tcf(c_29649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,midpoint(X0,X1),X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ le(X0,midpoint(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_8455,c_114]) ).
tcf(c_29650,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,sK5,X3,X4)
| ~ s_e(X1,X2,X3,X4)
| ~ le(s(iPr_def_10,X0),sK0,X1,X2) ),
inference(superposition,[status(thm)],[c_8462,c_114]) ).
tcf(c_29651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,sK1,X3,X4)
| ~ s_e(X1,X2,X3,X4)
| ~ le(s(iPr_def_11,X0),sK2,X1,X2) ),
inference(superposition,[status(thm)],[c_8467,c_114]) ).
tcf(c_29652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,sK0,X3,X4)
| ~ s_e(X1,X2,X3,X4)
| ~ le(s(iPr_def_10,X0),sK5,X1,X2) ),
inference(superposition,[status(thm)],[c_8472,c_114]) ).
tcf(c_29653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X6,s(midpoint(X6,X4),X5),X2,X3)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8479,c_114]) ).
tcf(c_29654,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_8484,c_114]) ).
tcf(c_29655,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(midpoint(X0,X1),X2),X0,X3,X4) ),
inference(superposition,[status(thm)],[c_8486,c_114]) ).
tcf(c_29656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,sK2,X3,X4)
| ~ s_e(X1,X2,X3,X4)
| ~ le(s(iPr_def_11,X0),sK1,X1,X2) ),
inference(superposition,[status(thm)],[c_8490,c_114]) ).
tcf(c_29657,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,s(midpoint(X0,X1),X2),X3,X4) ),
inference(superposition,[status(thm)],[c_8606,c_114]) ).
tcf(c_29658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(s(midpoint(X6,X5),X4),X6,X2,X3)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8726,c_114]) ).
tcf(c_29659,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_8752,c_114]) ).
tcf(c_29660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK1,sK0,X2,X3)
| ~ le(sK2,sK5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8756,c_114]) ).
tcf(c_29661,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,s(midpoint(X1,X0),X2),X3,X4) ),
inference(superposition,[status(thm)],[c_8766,c_114]) ).
tcf(c_29662,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_8786,c_114]) ).
tcf(c_29663,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_8789,c_114]) ).
tcf(c_29664,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK2,sK5,X2,X3)
| ~ le(sK0,sK1,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8790,c_114]) ).
tcf(c_29665,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(midpoint(X0,X1),X1,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ le(X0,midpoint(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_8791,c_114]) ).
tcf(c_29666,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(iPr_def_10,sK5,X2,X3)
| ~ le(sK0,iPr_def_10,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8792,c_114]) ).
tcf(c_29667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(iPr_def_11,sK1,X2,X3)
| ~ le(sK2,iPr_def_11,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8793,c_114]) ).
tcf(c_29668,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_8794,c_114]) ).
tcf(c_29669,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_8795,c_114]) ).
tcf(c_29670,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(midpoint(X1,X0),X1,X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ le(X0,midpoint(X1,X0),X2,X3) ),
inference(superposition,[status(thm)],[c_8796,c_114]) ).
tcf(c_29671,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(iPr_def_10,sK0,X2,X3)
| ~ le(sK5,iPr_def_10,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8797,c_114]) ).
tcf(c_29672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(iPr_def_11,sK2,X2,X3)
| ~ le(sK1,iPr_def_11,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8798,c_114]) ).
tcf(c_29673,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_8799,c_114]) ).
tcf(c_29674,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X6,s(midpoint(X5,X6),X4),X2,X3)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8800,c_114]) ).
tcf(c_29675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(sK5,s(iPr_def_10,X4),X2,X3)
| ~ le(X4,sK0,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8801,c_114]) ).
tcf(c_29676,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(sK1,s(iPr_def_11,X4),X2,X3)
| ~ le(X4,sK2,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8802,c_114]) ).
tcf(c_29677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(sK0,s(iPr_def_10,X4),X2,X3)
| ~ le(X4,sK5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8803,c_114]) ).
tcf(c_29678,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(sK2,s(iPr_def_11,X4),X2,X3)
| ~ le(X4,sK1,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8804,c_114]) ).
tcf(c_29679,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_8805,c_114]) ).
tcf(c_29680,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_8806,c_114]) ).
tcf(c_29681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(s(iPr_def_10,X4),sK5,X2,X3)
| ~ le(sK0,X4,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8807,c_114]) ).
tcf(c_29682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(s(iPr_def_11,X4),sK1,X2,X3)
| ~ le(sK2,X4,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8808,c_114]) ).
tcf(c_29683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(s(iPr_def_10,X4),sK0,X2,X3)
| ~ le(sK5,X4,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8809,c_114]) ).
tcf(c_29684,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK5,iPr_def_10,X2,X3)
| ~ le(iPr_def_10,sK0,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8810,c_114]) ).
tcf(c_29685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK1,iPr_def_11,X2,X3)
| ~ le(iPr_def_11,sK2,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8811,c_114]) ).
tcf(c_29686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK0,iPr_def_10,X2,X3)
| ~ le(iPr_def_10,sK5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8812,c_114]) ).
tcf(c_29687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK2,iPr_def_11,X2,X3)
| ~ le(iPr_def_11,sK1,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8813,c_114]) ).
tcf(c_29688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK1,sK0,X2,X3)
| ~ le(sK5,sK2,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8845,c_114]) ).
tcf(c_29689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK0,sK1,X2,X3)
| ~ le(sK2,sK5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8848,c_114]) ).
tcf(c_29690,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK5,sK2,X2,X3)
| ~ le(sK1,sK0,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8850,c_114]) ).
tcf(c_29691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK0,sK1,X2,X3)
| ~ le(sK5,sK2,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8851,c_114]) ).
tcf(c_29692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK5,sK2,X2,X3)
| ~ le(sK0,sK1,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8853,c_114]) ).
tcf(c_29693,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(s(midpoint(X4,X6),X5),X6,X2,X3)
| ~ le(X4,X5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8873,c_114]) ).
tcf(c_29694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( le(X2,X0,X5,X6)
| ~ s_e(X3,X4,X5,X6)
| ~ le(s(midpoint(X0,X1),X2),X1,X3,X4) ),
inference(superposition,[status(thm)],[c_8874,c_114]) ).
tcf(c_29695,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_8880,c_114]) ).
tcf(c_29696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,midpoint(X0,X1),X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ le(midpoint(X0,X1),X0,X2,X3) ),
inference(superposition,[status(thm)],[c_8885,c_114]) ).
tcf(c_29697,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_8889,c_114]) ).
tcf(c_29698,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(s(iPr_def_11,X4),sK2,X2,X3)
| ~ le(sK1,X4,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8898,c_114]) ).
tcf(c_29699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,sK5,X3,X4)
| ~ s_e(X1,X2,X3,X4)
| ~ le(sK0,s(iPr_def_10,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_9156,c_114]) ).
tcf(c_29700,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(sK5,X0,X3,X4)
| ~ s_e(X1,X2,X3,X4)
| ~ le(s(iPr_def_10,X0),sK0,X1,X2) ),
inference(superposition,[status(thm)],[c_9157,c_114]) ).
tcf(c_29701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X0,sK1,X3,X4)
| ~ s_e(X1,X2,X3,X4)
| ~ le(sK2,s(iPr_def_11,X0),X1,X2) ),
inference(superposition,[status(thm)],[c_9346,c_114]) ).
tcf(c_29702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(s(X4,sK1),s(X4,sK0),X2,X3)
| ~ le(sK2,sK5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_14740,c_114]) ).
tcf(c_29703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(sK1,s(X4,sK0),X2,X3)
| ~ s_r(sK1,X4,sK0)
| ~ le(sK2,sK5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_14742,c_114]) ).
tcf(c_29704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK1,s(sK1,sK0),X2,X3)
| ~ le(sK2,sK5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_14743,c_114]) ).
tcf(c_29705,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X4,s(midpoint(sK1,X4),sK0),X2,X3)
| ~ le(sK2,sK5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_14744,c_114]) ).
tcf(c_29706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK2,s(iPr_def_11,sK0),X2,X3)
| ~ le(sK2,sK5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_14745,c_114]) ).
tcf(c_29707,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(s(sK0,sK1),sK0,X2,X3)
| ~ le(sK2,sK5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_14746,c_114]) ).
tcf(c_29708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(s(midpoint(sK0,X4),sK1),X4,X2,X3)
| ~ le(sK2,sK5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_14747,c_114]) ).
tcf(c_29709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(s(iPr_def_10,sK1),sK5,X2,X3)
| ~ le(sK2,sK5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_14748,c_114]) ).
tcf(c_29710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(X4,s(midpoint(X4,sK1),sK0),X2,X3)
| ~ le(sK2,sK5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_14749,c_114]) ).
tcf(c_29711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(s(midpoint(X4,sK0),sK1),X4,X2,X3)
| ~ le(sK2,sK5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_14750,c_114]) ).
tcf(c_29712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X4,ext(X5,X4,sK1,sK0),X2,X3)
| ~ le(sK2,sK5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_14751,c_114]) ).
tcf(c_29713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK0,s(sK0,sK1),X2,X3)
| ~ le(sK2,sK5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_14752,c_114]) ).
tcf(c_29714,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK5,s(iPr_def_10,sK1),X2,X3)
| ~ le(sK2,sK5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_14753,c_114]) ).
tcf(c_29715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(s(sK1,sK0),sK1,X2,X3)
| ~ le(sK2,sK5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_14754,c_114]) ).
tcf(c_29716,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(s(iPr_def_11,sK0),sK2,X2,X3)
| ~ le(sK2,sK5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_14756,c_114]) ).
tcf(c_29717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(s(X4,sK0),s(X4,sK1),X2,X3)
| ~ le(sK2,sK5,X0,X1)
| ~ s_e(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_15120,c_114]) ).
tcf(c_30321,plain,
! [X0: $i] :
( s_t(sK3,X0,sK0)
| s_t(X0,sK3,sK0)
| ( midpoint(sK0,sK4) = sK0 )
| ~ s_t(X0,midpoint(sK0,sK4),sK0) ),
inference(superposition,[status(thm)],[c_12865,c_147]) ).
tcf(c_30322,plain,
! [X0: $i] :
( s_col(X0,midpoint(sK0,sK4),sK3)
| ( midpoint(sK0,sK4) = sK3 )
| ( midpoint(sK0,sK4) = sK0 )
| ~ sameside(X0,midpoint(sK0,sK4),sK0) ),
inference(superposition,[status(thm)],[c_12865,c_145]) ).
tcf(c_30323,plain,
! [X0: $i] :
( s_t(midpoint(sK0,sK4),sK0,X0)
| s_t(midpoint(sK0,sK4),X0,sK0)
| ( midpoint(sK0,sK4) = sK3 )
| ~ s_t(sK3,midpoint(sK0,sK4),X0) ),
inference(superposition,[status(thm)],[c_12865,c_108]) ).
tcf(c_30324,plain,
! [X0: $i] :
( s_t(sK3,sK0,X0)
| s_t(sK3,X0,sK0)
| ( midpoint(sK0,sK4) = sK3 )
| ~ s_t(sK3,midpoint(sK0,sK4),X0) ),
inference(superposition,[status(thm)],[c_12865,c_107]) ).
tcf(c_30325,plain,
! [X0: $i] :
( ( midpoint(sK0,sK4) = X0 )
| ~ s_r(sK3,X0,midpoint(sK0,sK4))
| ~ s_r(sK0,X0,midpoint(sK0,sK4)) ),
inference(superposition,[status(thm)],[c_12865,c_184]) ).
tcf(c_30326,plain,
! [X0: $i] :
( s_t(sK3,X0,midpoint(sK0,sK4))
| s_t(sK3,midpoint(sK0,sK4),X0)
| ~ s_t(sK3,X0,sK0) ),
inference(superposition,[status(thm)],[c_12865,c_109]) ).
tcf(c_30327,plain,
! [X0: $i] :
( s_t(sK3,midpoint(sK0,sK4),X0)
| ( midpoint(sK0,sK4) = sK0 )
| ~ s_t(midpoint(sK0,sK4),sK0,X0) ),
inference(superposition,[status(thm)],[c_12865,c_81]) ).
tcf(c_30328,plain,
! [X0: $i] :
( s_t(sK3,sK0,X0)
| ( midpoint(sK0,sK4) = sK0 )
| ~ s_t(midpoint(sK0,sK4),sK0,X0) ),
inference(superposition,[status(thm)],[c_12865,c_78]) ).
tcf(c_30329,plain,
( sameside(sK0,sK3,midpoint(sK0,sK4))
| ( sK0 = sK3 )
| ( midpoint(sK0,sK4) = sK3 ) ),
inference(superposition,[status(thm)],[c_12865,c_266]) ).
tcf(c_30330,plain,
( sameside(midpoint(sK0,sK4),sK3,sK0)
| ( sK3 = xb )
| ( midpoint(sK0,sK4) = sK3 ) ),
inference(superposition,[status(thm)],[c_12865,c_265]) ).
tcf(c_30331,plain,
! [X0: $i] :
( s_t(sK3,midpoint(sK0,sK4),X0)
| ~ s_t(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_12865,c_80]) ).
tcf(c_30332,plain,
! [X0: $i] :
( s_t(sK3,X0,sK0)
| ~ s_t(midpoint(sK0,sK4),X0,sK0) ),
inference(superposition,[status(thm)],[c_12865,c_79]) ).
tcf(c_30333,plain,
! [X0: $i] :
( s_t(midpoint(sK0,sK4),sK0,X0)
| ~ s_t(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_12865,c_77]) ).
tcf(c_30334,plain,
! [X0: $i] :
( s_t(sK3,midpoint(sK0,sK4),X0)
| ~ s_t(midpoint(sK0,sK4),X0,sK0) ),
inference(superposition,[status(thm)],[c_12865,c_76]) ).
tcf(c_30335,plain,
( ( midpoint(sK0,sK4) = sK3 )
| ~ s_t(midpoint(sK0,sK4),sK3,sK0) ),
inference(superposition,[status(thm)],[c_12865,c_75]) ).
tcf(c_30336,plain,
~ sameside(sK3,midpoint(sK0,sK4),sK0),
inference(superposition,[status(thm)],[c_12865,c_133]) ).
tcf(c_30337,plain,
s_col(midpoint(sK0,sK4),sK0,sK3),
inference(superposition,[status(thm)],[c_12865,c_253]) ).
tcf(c_30338,plain,
s_col(sK0,sK3,midpoint(sK0,sK4)),
inference(superposition,[status(thm)],[c_12865,c_252]) ).
tcf(c_30339,plain,
s_col(sK3,midpoint(sK0,sK4),sK0),
inference(superposition,[status(thm)],[c_12865,c_251]) ).
tcf(c_30340,plain,
s_t(sK0,midpoint(sK0,sK4),sK3),
inference(superposition,[status(thm)],[c_12865,c_73]) ).
tcf(c_30399,plain,
! [X0: $i] :
( s_t(sK3,X0,sK2)
| s_t(X0,sK3,sK2)
| ( midpoint(sK2,sK5) = sK2 )
| ~ s_t(X0,midpoint(sK2,sK5),sK2) ),
inference(superposition,[status(thm)],[c_12873,c_147]) ).
tcf(c_30400,plain,
! [X0: $i] :
( s_col(X0,midpoint(sK2,sK5),sK3)
| ( midpoint(sK2,sK5) = sK3 )
| ( midpoint(sK2,sK5) = sK2 )
| ~ sameside(X0,midpoint(sK2,sK5),sK2) ),
inference(superposition,[status(thm)],[c_12873,c_145]) ).
tcf(c_30401,plain,
! [X0: $i] :
( s_t(midpoint(sK2,sK5),sK2,X0)
| s_t(midpoint(sK2,sK5),X0,sK2)
| ( midpoint(sK2,sK5) = sK3 )
| ~ s_t(sK3,midpoint(sK2,sK5),X0) ),
inference(superposition,[status(thm)],[c_12873,c_108]) ).
tcf(c_30402,plain,
! [X0: $i] :
( s_t(sK3,sK2,X0)
| s_t(sK3,X0,sK2)
| ( midpoint(sK2,sK5) = sK3 )
| ~ s_t(sK3,midpoint(sK2,sK5),X0) ),
inference(superposition,[status(thm)],[c_12873,c_107]) ).
tcf(c_30403,plain,
! [X0: $i] :
( ( midpoint(sK2,sK5) = X0 )
| ~ s_r(sK3,X0,midpoint(sK2,sK5))
| ~ s_r(sK2,X0,midpoint(sK2,sK5)) ),
inference(superposition,[status(thm)],[c_12873,c_184]) ).
tcf(c_30404,plain,
! [X0: $i] :
( s_t(sK3,X0,midpoint(sK2,sK5))
| s_t(sK3,midpoint(sK2,sK5),X0)
| ~ s_t(sK3,X0,sK2) ),
inference(superposition,[status(thm)],[c_12873,c_109]) ).
tcf(c_30405,plain,
! [X0: $i] :
( s_t(sK3,midpoint(sK2,sK5),X0)
| ( midpoint(sK2,sK5) = sK2 )
| ~ s_t(midpoint(sK2,sK5),sK2,X0) ),
inference(superposition,[status(thm)],[c_12873,c_81]) ).
tcf(c_30406,plain,
! [X0: $i] :
( s_t(sK3,sK2,X0)
| ( midpoint(sK2,sK5) = sK2 )
| ~ s_t(midpoint(sK2,sK5),sK2,X0) ),
inference(superposition,[status(thm)],[c_12873,c_78]) ).
tcf(c_30407,plain,
( sameside(sK2,sK3,midpoint(sK2,sK5))
| ( sK2 = sK3 )
| ( midpoint(sK2,sK5) = sK3 ) ),
inference(superposition,[status(thm)],[c_12873,c_266]) ).
tcf(c_30408,plain,
( sameside(midpoint(sK2,sK5),sK3,sK2)
| ( sK3 = xb )
| ( midpoint(sK2,sK5) = sK3 ) ),
inference(superposition,[status(thm)],[c_12873,c_265]) ).
tcf(c_30409,plain,
! [X0: $i] :
( s_t(sK3,midpoint(sK2,sK5),X0)
| ~ s_t(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_12873,c_80]) ).
tcf(c_30410,plain,
! [X0: $i] :
( s_t(sK3,X0,sK2)
| ~ s_t(midpoint(sK2,sK5),X0,sK2) ),
inference(superposition,[status(thm)],[c_12873,c_79]) ).
tcf(c_30411,plain,
! [X0: $i] :
( s_t(midpoint(sK2,sK5),sK2,X0)
| ~ s_t(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_12873,c_77]) ).
tcf(c_30412,plain,
! [X0: $i] :
( s_t(sK3,midpoint(sK2,sK5),X0)
| ~ s_t(midpoint(sK2,sK5),X0,sK2) ),
inference(superposition,[status(thm)],[c_12873,c_76]) ).
tcf(c_30413,plain,
( ( midpoint(sK2,sK5) = sK3 )
| ~ s_t(midpoint(sK2,sK5),sK3,sK2) ),
inference(superposition,[status(thm)],[c_12873,c_75]) ).
tcf(c_30414,plain,
~ sameside(sK3,midpoint(sK2,sK5),sK2),
inference(superposition,[status(thm)],[c_12873,c_133]) ).
tcf(c_30415,plain,
s_col(midpoint(sK2,sK5),sK2,sK3),
inference(superposition,[status(thm)],[c_12873,c_253]) ).
tcf(c_30416,plain,
s_col(sK2,sK3,midpoint(sK2,sK5)),
inference(superposition,[status(thm)],[c_12873,c_252]) ).
tcf(c_30417,plain,
s_col(sK3,midpoint(sK2,sK5),sK2),
inference(superposition,[status(thm)],[c_12873,c_251]) ).
tcf(c_30418,plain,
s_t(sK2,midpoint(sK2,sK5),sK3),
inference(superposition,[status(thm)],[c_12873,c_73]) ).
tcf(c_30503,plain,
( ( s(sK1,sK0) = sK1 )
| ( ext(s(sK1,sK0),sK1,sK2,sK5) = sK0 ) ),
inference(superposition,[status(thm)],[c_8180,c_28130]) ).
tcf(c_30510,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,X0,sK5)
| s_t(X0,sK2,sK5)
| ( ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X1) = sK5 )
| ~ s_t(sK1,X1,sK0)
| ~ s_t(X0,ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X1),sK5) ),
inference(superposition,[status(thm)],[c_28934,c_147]) ).
tcf(c_30511,plain,
! [X0: $i,X1: $i] :
( s_col(X0,ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X1),sK2)
| ( ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X1) = sK5 )
| ( ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X1) = sK2 )
| ~ s_t(sK1,X1,sK0)
| ~ sameside(X0,ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X1),sK5) ),
inference(superposition,[status(thm)],[c_28934,c_145]) ).
tcf(c_30512,plain,
! [X0: $i,X1: $i] :
( s_t(ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0),sK5,X1)
| s_t(ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0),X1,sK5)
| ( ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0) = sK2 )
| ~ s_t(sK1,X0,sK0)
| ~ s_t(sK2,ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_28934,c_108]) ).
tcf(c_30513,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK5,X1)
| s_t(sK2,X1,sK5)
| ( ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0) = sK2 )
| ~ s_t(sK1,X0,sK0)
| ~ s_t(sK2,ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_28934,c_107]) ).
tcf(c_30514,plain,
! [X0: $i,X1: $i] :
( ( ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X1) = X0 )
| ~ s_t(sK1,X1,sK0)
| ~ s_r(sK5,X0,ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X1))
| ~ s_r(sK2,X0,ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X1)) ),
inference(superposition,[status(thm)],[c_28934,c_184]) ).
tcf(c_30515,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,X1,ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0))
| s_t(sK2,ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0),X1)
| ~ s_t(sK2,X1,sK5)
| ~ s_t(sK1,X0,sK0) ),
inference(superposition,[status(thm)],[c_28934,c_109]) ).
tcf(c_30516,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0),X1)
| ( ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0) = sK5 )
| ~ s_t(sK1,X0,sK0)
| ~ s_t(ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0),sK5,X1) ),
inference(superposition,[status(thm)],[c_28934,c_81]) ).
tcf(c_30517,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,sK5,X1)
| ( ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0) = sK5 )
| ~ s_t(sK1,X0,sK0)
| ~ s_t(ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0),sK5,X1) ),
inference(superposition,[status(thm)],[c_28934,c_78]) ).
tcf(c_30518,plain,
! [X0: $i] :
( sameside(sK5,sK2,ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0))
| ( sK2 = sK5 )
| ( ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0) = sK2 )
| ~ s_t(sK1,X0,sK0) ),
inference(superposition,[status(thm)],[c_28934,c_266]) ).
tcf(c_30519,plain,
! [X0: $i] :
( sameside(ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0),sK2,sK5)
| ( sK2 = xb )
| ( ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0) = sK2 )
| ~ s_t(sK1,X0,sK0) ),
inference(superposition,[status(thm)],[c_28934,c_265]) ).
tcf(c_30520,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0),X1)
| ~ s_t(sK2,sK5,X1)
| ~ s_t(sK1,X0,sK0) ),
inference(superposition,[status(thm)],[c_28934,c_80]) ).
tcf(c_30521,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,X1,sK5)
| ~ s_t(sK1,X0,sK0)
| ~ s_t(ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0),X1,sK5) ),
inference(superposition,[status(thm)],[c_28934,c_79]) ).
tcf(c_30522,plain,
! [X0: $i,X1: $i] :
( s_t(ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0),sK5,X1)
| ~ s_t(sK2,sK5,X1)
| ~ s_t(sK1,X0,sK0) ),
inference(superposition,[status(thm)],[c_28934,c_77]) ).
tcf(c_30523,plain,
! [X0: $i,X1: $i] :
( s_t(sK2,ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0),X1)
| ~ s_t(sK1,X0,sK0)
| ~ s_t(ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0),X1,sK5) ),
inference(superposition,[status(thm)],[c_28934,c_76]) ).
tcf(c_30524,plain,
! [X0: $i] :
( ( ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0) = sK2 )
| ~ s_t(sK1,X0,sK0)
| ~ s_t(ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0),sK2,sK5) ),
inference(superposition,[status(thm)],[c_28934,c_75]) ).
tcf(c_30525,plain,
! [X0: $i] :
( ~ s_t(sK1,X0,sK0)
| ~ sameside(sK2,ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0),sK5) ),
inference(superposition,[status(thm)],[c_28934,c_133]) ).
tcf(c_30526,plain,
! [X0: $i] :
( s_col(ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0),sK5,sK2)
| ~ s_t(sK1,X0,sK0) ),
inference(superposition,[status(thm)],[c_28934,c_253]) ).
tcf(c_30527,plain,
! [X0: $i] :
( s_col(sK5,sK2,ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0))
| ~ s_t(sK1,X0,sK0) ),
inference(superposition,[status(thm)],[c_28934,c_252]) ).
tcf(c_30528,plain,
! [X0: $i] :
( s_col(sK2,ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0),sK5)
| ~ s_t(sK1,X0,sK0) ),
inference(superposition,[status(thm)],[c_28934,c_251]) ).
tcf(c_30529,plain,
! [X0: $i] :
( s_t(sK5,ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0),sK2)
| ~ s_t(sK1,X0,sK0) ),
inference(superposition,[status(thm)],[c_28934,c_73]) ).
tcf(c_30645,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X1,X0)
| ~ le(sK1,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_49,c_29617]) ).
tcf(c_30646,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK2,sK5,X2,X3)
| ~ le(sK1,sK0,X0,ext(X1,X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_53,c_29617]) ).
tcf(c_30647,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X0,X1)
| ~ le(sK1,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_61,c_29617]) ).
tcf(c_30648,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X1,X1)
| ~ le(sK1,sK0,X0,X0) ),
inference(superposition,[status(thm)],[c_66,c_29617]) ).
tcf(c_30649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK2,sK5,X1,X2)
| ~ le(X0,X3,X1,X2)
| ~ le(sK1,sK0,X0,ins(X1,X2,X0,X3)) ),
inference(superposition,[status(thm)],[c_111,c_29617]) ).
tcf(c_30650,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,sK5,s(X2,X0),s(X2,X1))
| ~ le(sK1,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_166,c_29617]) ).
tcf(c_30651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(sK2,sK5,s(X0,X3),s(X0,X4))
| ~ s_e(X1,X2,X3,X4)
| ~ le(sK1,sK0,s(X0,X1),s(X0,X2)) ),
inference(superposition,[status(thm)],[c_169,c_29617]) ).
tcf(c_30652,plain,
( le(sK2,sK5,sK2,sK5)
| ~ le(sK1,sK0,sK1,sK0) ),
inference(superposition,[status(thm)],[c_5721,c_29617]) ).
tcf(c_30653,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,sK5,X0,s(X2,X1))
| ~ s_r(X0,X2,X1)
| ~ le(sK1,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_277,c_29617]) ).
tcf(c_30654,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,midpoint(X0,X1),X1)
| ~ le(sK1,sK0,midpoint(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_1804,c_29617]) ).
tcf(c_30655,plain,
( le(sK2,sK5,iPr_def_10,sK5)
| ~ le(sK1,sK0,iPr_def_10,sK0) ),
inference(superposition,[status(thm)],[c_8164,c_29617]) ).
tcf(c_30656,plain,
( le(sK2,sK5,iPr_def_11,sK1)
| ~ le(sK1,sK0,iPr_def_11,sK2) ),
inference(superposition,[status(thm)],[c_8166,c_29617]) ).
tcf(c_30657,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X0,s(X0,X1))
| ~ le(sK1,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8176,c_29617]) ).
tcf(c_30658,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X0,X1)
| ~ le(sK1,sK0,X0,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_8183,c_29617]) ).
tcf(c_30659,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,midpoint(X0,X1),X0)
| ~ le(sK1,sK0,midpoint(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_8226,c_29617]) ).
tcf(c_30660,plain,
( le(sK2,sK5,iPr_def_10,sK0)
| ~ le(sK1,sK0,iPr_def_10,sK5) ),
inference(superposition,[status(thm)],[c_8232,c_29617]) ).
tcf(c_30661,plain,
( le(sK2,sK5,iPr_def_11,sK2)
| ~ le(sK1,sK0,iPr_def_11,sK1) ),
inference(superposition,[status(thm)],[c_8238,c_29617]) ).
tcf(c_30662,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,sK5,X1,s(X0,X2))
| ~ le(sK1,sK0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_8406,c_29617]) ).
tcf(c_30663,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,sK5,X2,s(midpoint(X0,X2),X1))
| ~ le(sK1,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8408,c_29617]) ).
tcf(c_30664,plain,
! [X0: $i] :
( le(sK2,sK5,sK5,s(iPr_def_10,X0))
| ~ le(sK1,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_8409,c_29617]) ).
tcf(c_30665,plain,
! [X0: $i] :
( le(sK2,sK5,sK1,s(iPr_def_11,X0))
| ~ le(sK1,sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_8410,c_29617]) ).
tcf(c_30666,plain,
! [X0: $i] :
( le(sK2,sK5,sK0,s(iPr_def_10,X0))
| ~ le(sK1,sK0,sK5,X0) ),
inference(superposition,[status(thm)],[c_8411,c_29617]) ).
tcf(c_30667,plain,
! [X0: $i] :
( le(sK2,sK5,sK2,s(iPr_def_11,X0))
| ~ le(sK1,sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_8412,c_29617]) ).
tcf(c_30668,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,sK5,s(X1,X0),X2)
| ~ le(sK1,sK0,X0,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_8413,c_29617]) ).
tcf(c_30669,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,s(X1,X0),X1)
| ~ le(sK1,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8414,c_29617]) ).
tcf(c_30670,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,sK5,s(midpoint(X1,X2),X0),X2)
| ~ le(sK1,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8415,c_29617]) ).
tcf(c_30671,plain,
! [X0: $i] :
( le(sK2,sK5,s(iPr_def_10,X0),sK5)
| ~ le(sK1,sK0,X0,sK0) ),
inference(superposition,[status(thm)],[c_8416,c_29617]) ).
tcf(c_30672,plain,
! [X0: $i] :
( le(sK2,sK5,s(iPr_def_11,X0),sK1)
| ~ le(sK1,sK0,X0,sK2) ),
inference(superposition,[status(thm)],[c_8417,c_29617]) ).
tcf(c_30673,plain,
! [X0: $i] :
( le(sK2,sK5,s(iPr_def_10,X0),sK0)
| ~ le(sK1,sK0,X0,sK5) ),
inference(superposition,[status(thm)],[c_8418,c_29617]) ).
tcf(c_30674,plain,
! [X0: $i] :
( le(sK2,sK5,s(iPr_def_11,X0),sK2)
| ~ le(sK1,sK0,X0,sK1) ),
inference(superposition,[status(thm)],[c_8419,c_29617]) ).
tcf(c_30675,plain,
! [X0: $i] :
( le(sK2,sK5,sK5,X0)
| ~ le(sK1,sK0,sK0,s(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_8433,c_29617]) ).
tcf(c_30676,plain,
( le(sK2,sK5,sK5,iPr_def_10)
| ~ le(sK1,sK0,sK0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8434,c_29617]) ).
tcf(c_30677,plain,
! [X0: $i] :
( le(sK2,sK5,sK1,X0)
| ~ le(sK1,sK0,sK2,s(iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_8438,c_29617]) ).
tcf(c_30678,plain,
( le(sK2,sK5,sK1,iPr_def_11)
| ~ le(sK1,sK0,sK2,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8439,c_29617]) ).
tcf(c_30679,plain,
! [X0: $i] :
( le(sK2,sK5,sK0,X0)
| ~ le(sK1,sK0,sK5,s(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_8443,c_29617]) ).
tcf(c_30680,plain,
( le(sK2,sK5,sK0,iPr_def_10)
| ~ le(sK1,sK0,sK5,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8444,c_29617]) ).
tcf(c_30681,plain,
! [X0: $i] :
( le(sK2,sK5,sK2,X0)
| ~ le(sK1,sK0,sK1,s(iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_8448,c_29617]) ).
tcf(c_30682,plain,
( le(sK2,sK5,sK2,iPr_def_11)
| ~ le(sK1,sK0,sK1,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8449,c_29617]) ).
tcf(c_30683,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X1,X0)
| ~ le(sK1,sK0,s(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_8453,c_29617]) ).
tcf(c_30684,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X1,midpoint(X0,X1))
| ~ le(sK1,sK0,X0,midpoint(X0,X1)) ),
inference(superposition,[status(thm)],[c_8455,c_29617]) ).
tcf(c_30685,plain,
! [X0: $i] :
( le(sK2,sK5,X0,sK5)
| ~ le(sK1,sK0,s(iPr_def_10,X0),sK0) ),
inference(superposition,[status(thm)],[c_8462,c_29617]) ).
tcf(c_30686,plain,
! [X0: $i] :
( le(sK2,sK5,X0,sK1)
| ~ le(sK1,sK0,s(iPr_def_11,X0),sK2) ),
inference(superposition,[status(thm)],[c_8467,c_29617]) ).
tcf(c_30687,plain,
! [X0: $i] :
( le(sK2,sK5,X0,sK0)
| ~ le(sK1,sK0,s(iPr_def_10,X0),sK5) ),
inference(superposition,[status(thm)],[c_8472,c_29617]) ).
tcf(c_30688,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,sK5,X2,s(midpoint(X2,X0),X1))
| ~ le(sK1,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8479,c_29617]) ).
tcf(c_30689,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,sK5,X1,X2)
| ~ le(sK1,sK0,s(X0,X1),s(X0,X2)) ),
inference(superposition,[status(thm)],[c_8484,c_29617]) ).
tcf(c_30690,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,sK5,X2,X1)
| ~ le(sK1,sK0,s(midpoint(X0,X1),X2),X0) ),
inference(superposition,[status(thm)],[c_8486,c_29617]) ).
tcf(c_30691,plain,
! [X0: $i] :
( le(sK2,sK5,X0,sK2)
| ~ le(sK1,sK0,s(iPr_def_11,X0),sK1) ),
inference(superposition,[status(thm)],[c_8490,c_29617]) ).
tcf(c_30692,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,sK5,X1,X2)
| ~ le(sK1,sK0,X0,s(midpoint(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_8606,c_29617]) ).
tcf(c_30693,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,sK5,s(midpoint(X2,X1),X0),X2)
| ~ le(sK1,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8726,c_29617]) ).
tcf(c_30694,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK2,sK5,X2,ext(X3,X2,X0,X1))
| ~ le(sK1,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8752,c_29617]) ).
tcf(c_30695,plain,
( le(sK2,sK5,sK1,sK0)
| ~ le(sK1,sK0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_8756,c_29617]) ).
tcf(c_30696,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,sK5,X1,X2)
| ~ le(sK1,sK0,X0,s(midpoint(X1,X0),X2)) ),
inference(superposition,[status(thm)],[c_8766,c_29617]) ).
tcf(c_30697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK2,sK5,X2,X3)
| ~ le(sK1,sK0,ext(X0,X1,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_8786,c_29617]) ).
tcf(c_30698,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,sK5,s(X2,X1),s(X2,X0))
| ~ le(sK1,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8789,c_29617]) ).
tcf(c_30699,plain,
( le(sK2,sK5,sK2,sK5)
| ~ le(sK1,sK0,sK0,sK1) ),
inference(superposition,[status(thm)],[c_8790,c_29617]) ).
tcf(c_30700,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,midpoint(X0,X1),X1)
| ~ le(sK1,sK0,X0,midpoint(X0,X1)) ),
inference(superposition,[status(thm)],[c_8791,c_29617]) ).
tcf(c_30701,plain,
( le(sK2,sK5,iPr_def_10,sK5)
| ~ le(sK1,sK0,sK0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8792,c_29617]) ).
tcf(c_30702,plain,
( le(sK2,sK5,iPr_def_11,sK1)
| ~ le(sK1,sK0,sK2,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8793,c_29617]) ).
tcf(c_30703,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X1,s(X1,X0))
| ~ le(sK1,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8794,c_29617]) ).
tcf(c_30704,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X0,X1)
| ~ le(sK1,sK0,s(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_8795,c_29617]) ).
tcf(c_30705,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,midpoint(X1,X0),X1)
| ~ le(sK1,sK0,X0,midpoint(X1,X0)) ),
inference(superposition,[status(thm)],[c_8796,c_29617]) ).
tcf(c_30706,plain,
( le(sK2,sK5,iPr_def_10,sK0)
| ~ le(sK1,sK0,sK5,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8797,c_29617]) ).
tcf(c_30707,plain,
( le(sK2,sK5,iPr_def_11,sK2)
| ~ le(sK1,sK0,sK1,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8798,c_29617]) ).
tcf(c_30708,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,sK5,X2,s(X1,X0))
| ~ le(sK1,sK0,X0,s(X1,X2)) ),
inference(superposition,[status(thm)],[c_8799,c_29617]) ).
tcf(c_30709,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,sK5,X2,s(midpoint(X1,X2),X0))
| ~ le(sK1,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8800,c_29617]) ).
tcf(c_30710,plain,
! [X0: $i] :
( le(sK2,sK5,sK5,s(iPr_def_10,X0))
| ~ le(sK1,sK0,X0,sK0) ),
inference(superposition,[status(thm)],[c_8801,c_29617]) ).
tcf(c_30711,plain,
! [X0: $i] :
( le(sK2,sK5,sK1,s(iPr_def_11,X0))
| ~ le(sK1,sK0,X0,sK2) ),
inference(superposition,[status(thm)],[c_8802,c_29617]) ).
tcf(c_30712,plain,
! [X0: $i] :
( le(sK2,sK5,sK0,s(iPr_def_10,X0))
| ~ le(sK1,sK0,X0,sK5) ),
inference(superposition,[status(thm)],[c_8803,c_29617]) ).
tcf(c_30713,plain,
! [X0: $i] :
( le(sK2,sK5,sK2,s(iPr_def_11,X0))
| ~ le(sK1,sK0,X0,sK1) ),
inference(superposition,[status(thm)],[c_8804,c_29617]) ).
tcf(c_30714,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,sK5,s(X0,X2),X1)
| ~ le(sK1,sK0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_8805,c_29617]) ).
tcf(c_30715,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,s(X0,X1),X0)
| ~ le(sK1,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8806,c_29617]) ).
tcf(c_30716,plain,
! [X0: $i] :
( le(sK2,sK5,s(iPr_def_10,X0),sK5)
| ~ le(sK1,sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_8807,c_29617]) ).
tcf(c_30717,plain,
! [X0: $i] :
( le(sK2,sK5,s(iPr_def_11,X0),sK1)
| ~ le(sK1,sK0,sK2,X0) ),
inference(superposition,[status(thm)],[c_8808,c_29617]) ).
tcf(c_30718,plain,
! [X0: $i] :
( le(sK2,sK5,s(iPr_def_10,X0),sK0)
| ~ le(sK1,sK0,sK5,X0) ),
inference(superposition,[status(thm)],[c_8809,c_29617]) ).
tcf(c_30719,plain,
( le(sK2,sK5,sK5,iPr_def_10)
| ~ le(sK1,sK0,iPr_def_10,sK0) ),
inference(superposition,[status(thm)],[c_8810,c_29617]) ).
tcf(c_30720,plain,
( le(sK2,sK5,sK1,iPr_def_11)
| ~ le(sK1,sK0,iPr_def_11,sK2) ),
inference(superposition,[status(thm)],[c_8811,c_29617]) ).
tcf(c_30721,plain,
( le(sK2,sK5,sK0,iPr_def_10)
| ~ le(sK1,sK0,iPr_def_10,sK5) ),
inference(superposition,[status(thm)],[c_8812,c_29617]) ).
tcf(c_30722,plain,
( le(sK2,sK5,sK2,iPr_def_11)
| ~ le(sK1,sK0,iPr_def_11,sK1) ),
inference(superposition,[status(thm)],[c_8813,c_29617]) ).
tcf(c_30723,plain,
( le(sK2,sK5,sK1,sK0)
| ~ le(sK1,sK0,sK5,sK2) ),
inference(superposition,[status(thm)],[c_8845,c_29617]) ).
tcf(c_30724,plain,
( le(sK2,sK5,sK0,sK1)
| ~ le(sK1,sK0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_8848,c_29617]) ).
tcf(c_30725,plain,
( le(sK2,sK5,sK5,sK2)
| ~ le(sK1,sK0,sK1,sK0) ),
inference(superposition,[status(thm)],[c_8850,c_29617]) ).
tcf(c_30726,plain,
( le(sK2,sK5,sK0,sK1)
| ~ le(sK1,sK0,sK5,sK2) ),
inference(superposition,[status(thm)],[c_8851,c_29617]) ).
tcf(c_30728,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,sK5,s(midpoint(X0,X2),X1),X2)
| ~ le(sK1,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8873,c_29617]) ).
tcf(c_30729,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,sK5,X2,X0)
| ~ le(sK1,sK0,s(midpoint(X0,X1),X2),X1) ),
inference(superposition,[status(thm)],[c_8874,c_29617]) ).
tcf(c_30730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK2,sK5,X3,X2)
| ~ le(sK1,sK0,X0,ext(X1,X0,X2,X3)) ),
inference(superposition,[status(thm)],[c_8880,c_29617]) ).
tcf(c_30731,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X1,midpoint(X0,X1))
| ~ le(sK1,sK0,midpoint(X0,X1),X0) ),
inference(superposition,[status(thm)],[c_8885,c_29617]) ).
tcf(c_30732,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X1,X0)
| ~ le(sK1,sK0,X0,s(X0,X1)) ),
inference(superposition,[status(thm)],[c_8889,c_29617]) ).
tcf(c_30733,plain,
! [X0: $i] :
( le(sK2,sK5,s(iPr_def_11,X0),sK2)
| ~ le(sK1,sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_8898,c_29617]) ).
tcf(c_30734,plain,
! [X0: $i] :
( le(sK2,sK5,X0,sK5)
| ~ le(sK1,sK0,sK0,s(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_9156,c_29617]) ).
tcf(c_30735,plain,
! [X0: $i] :
( le(sK2,sK5,sK5,X0)
| ~ le(sK1,sK0,s(iPr_def_10,X0),sK0) ),
inference(superposition,[status(thm)],[c_9157,c_29617]) ).
tcf(c_30736,plain,
! [X0: $i] :
( le(sK2,sK5,X0,sK1)
| ~ le(sK1,sK0,sK2,s(iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_9346,c_29617]) ).
tcf(c_30737,plain,
! [X0: $i] :
( le(sK2,sK5,s(X0,sK1),s(X0,sK0))
| ~ le(sK1,sK0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14740,c_29617]) ).
tcf(c_30738,plain,
! [X0: $i] :
( le(sK2,sK5,sK1,s(X0,sK0))
| ~ s_r(sK1,X0,sK0)
| ~ le(sK1,sK0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14742,c_29617]) ).
tcf(c_30739,plain,
( le(sK2,sK5,sK1,s(sK1,sK0))
| ~ le(sK1,sK0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14743,c_29617]) ).
tcf(c_30740,plain,
! [X0: $i] :
( le(sK2,sK5,X0,s(midpoint(sK1,X0),sK0))
| ~ le(sK1,sK0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14744,c_29617]) ).
tcf(c_30741,plain,
( le(sK2,sK5,sK2,s(iPr_def_11,sK0))
| ~ le(sK1,sK0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14745,c_29617]) ).
tcf(c_30742,plain,
( le(sK2,sK5,s(sK0,sK1),sK0)
| ~ le(sK1,sK0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14746,c_29617]) ).
tcf(c_30743,plain,
! [X0: $i] :
( le(sK2,sK5,s(midpoint(sK0,X0),sK1),X0)
| ~ le(sK1,sK0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14747,c_29617]) ).
tcf(c_30744,plain,
( le(sK2,sK5,s(iPr_def_10,sK1),sK5)
| ~ le(sK1,sK0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14748,c_29617]) ).
tcf(c_30745,plain,
! [X0: $i] :
( le(sK2,sK5,X0,s(midpoint(X0,sK1),sK0))
| ~ le(sK1,sK0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14749,c_29617]) ).
tcf(c_30746,plain,
! [X0: $i] :
( le(sK2,sK5,s(midpoint(X0,sK0),sK1),X0)
| ~ le(sK1,sK0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14750,c_29617]) ).
tcf(c_30747,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X0,ext(X1,X0,sK1,sK0))
| ~ le(sK1,sK0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14751,c_29617]) ).
tcf(c_30748,plain,
( le(sK2,sK5,sK0,s(sK0,sK1))
| ~ le(sK1,sK0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14752,c_29617]) ).
tcf(c_30749,plain,
( le(sK2,sK5,sK5,s(iPr_def_10,sK1))
| ~ le(sK1,sK0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14753,c_29617]) ).
tcf(c_30750,plain,
( le(sK2,sK5,s(sK1,sK0),sK1)
| ~ le(sK1,sK0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14754,c_29617]) ).
tcf(c_30751,plain,
( le(sK2,sK5,s(iPr_def_11,sK0),sK2)
| ~ le(sK1,sK0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_14756,c_29617]) ).
tcf(c_30752,plain,
! [X0: $i] :
( le(sK2,sK5,s(X0,sK0),s(X0,sK1))
| ~ le(sK1,sK0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_15120,c_29617]) ).
tcf(c_30757,plain,
le(sK2,sK5,sK5,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_30725,c_115]) ).
tcf(c_31199,plain,
le(sK2,sK5,sK0,sK1),
inference(superposition,[status(thm)],[c_115,c_30645]) ).
tcf(c_31200,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X1,X0)
| le(X0,X1,sK1,sK0) ),
inference(superposition,[status(thm)],[c_118,c_30645]) ).
tcf(c_31201,plain,
! [X0: $i] :
( le(sK2,sK5,X0,sK1)
| ~ s_t(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_361,c_30645]) ).
tcf(c_31202,plain,
! [X0: $i] :
( le(sK2,sK5,sK0,X0)
| ~ s_t(X0,sK1,sK0) ),
inference(superposition,[status(thm)],[c_359,c_30645]) ).
tcf(c_31204,plain,
! [X0: $i] :
( le(sK2,sK5,X0,sK2)
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_13727,c_30645]) ).
tcf(c_31221,plain,
! [X0: $i] :
( s_e(sK2,sK5,X0,sK2)
| ~ s_t(sK2,sK5,X0)
| ~ le(X0,sK2,sK2,sK5) ),
inference(superposition,[status(thm)],[c_31204,c_117]) ).
tcf(c_31222,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,sK5,X1,X2)
| ~ s_t(sK2,sK5,X0)
| ~ le(X0,sK2,X1,X2) ),
inference(superposition,[status(thm)],[c_31204,c_116]) ).
tcf(c_31308,plain,
le(sK2,sK5,sK1,sK0),
inference(superposition,[status(thm)],[c_115,c_30647]) ).
tcf(c_31309,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X0,X1)
| le(X0,X1,sK1,sK0) ),
inference(superposition,[status(thm)],[c_118,c_30647]) ).
tcf(c_31311,plain,
! [X0: $i] :
( le(sK2,sK5,X0,sK0)
| ~ s_t(X0,sK1,sK0) ),
inference(superposition,[status(thm)],[c_359,c_30647]) ).
tcf(c_31312,plain,
( le(sK2,sK5,sK2,sK5)
| ~ s_t(sK1,sK0,sK0) ),
inference(superposition,[status(thm)],[c_12283,c_30647]) ).
tcf(c_31313,plain,
! [X0: $i] :
( le(sK2,sK5,sK2,X0)
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_13727,c_30647]) ).
tcf(c_31326,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X1,X1)
| le(X0,X0,sK1,sK0) ),
inference(superposition,[status(thm)],[c_118,c_30648]) ).
tcf(c_31328,plain,
! [X0: $i] :
( le(sK2,sK5,X0,X0)
| ~ s_t(sK1,sK0,sK1) ),
inference(superposition,[status(thm)],[c_361,c_30648]) ).
tcf(c_31329,plain,
! [X0: $i] :
( le(sK2,sK5,X0,X0)
| ~ s_t(sK0,sK1,sK0) ),
inference(superposition,[status(thm)],[c_359,c_30648]) ).
tcf(c_31330,plain,
! [X0: $i] :
( le(sK2,sK5,X0,X0)
| ~ s_t(sK2,sK5,sK2) ),
inference(superposition,[status(thm)],[c_13727,c_30648]) ).
tcf(c_31352,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X0,midpoint(X0,X1))
| ~ le(sK1,sK0,midpoint(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_8890,c_29617]) ).
tcf(c_31353,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X0,midpoint(X0,X1),X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ le(midpoint(X0,X1),X1,X2,X3) ),
inference(superposition,[status(thm)],[c_8890,c_114]) ).
tcf(c_31354,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,ext(ext(midpoint(X0,X1),X0,alpha,gamma),X0,midpoint(X0,X1),X2),midpoint(X0,X1))
| ~ s_t(midpoint(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_8890,c_91]) ).
tcf(c_31355,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( midpoint(X1,X2) = X0 )
| ( ext(X0,midpoint(X1,X2),X1,midpoint(X1,X2)) = X2 )
| ~ s_t(X0,midpoint(X1,X2),X2) ),
inference(superposition,[status(thm)],[c_8890,c_68]) ).
tcf(c_31358,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(midpoint(X0,X1),X1,X0,X2)
| ~ s_t(X0,midpoint(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_8890,c_261]) ).
tcf(c_31359,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(midpoint(X0,X1),X2,X0,midpoint(X0,X1))
| ~ s_t(midpoint(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_8890,c_113]) ).
tcf(c_31386,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_31387,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_31388,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_31389,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_31390,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_31391,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_31392,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_31393,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_31394,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_31395,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_266]) ).
tcf(c_31396,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_265]) ).
tcf(c_31397,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_31398,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_31399,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_31400,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_31401,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_31402,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_31403,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_253]) ).
tcf(c_31404,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_252]) ).
tcf(c_31405,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_251]) ).
tcf(c_31406,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_31407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK0,crossbar(X0,X1,sK3,X2,X3,sK4),sK3)
| ~ s_t(X2,X3,sK3)
| ~ s_t(X0,sK4,X2)
| ~ s_t(X0,X1,sK3) ),
inference(superposition,[status(thm)],[c_87,c_10603]) ).
tcf(c_31408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK0,sK4,crossbar(X0,X1,sK3,X2,X3,sK4))
| ~ s_t(X2,X3,sK3)
| ~ s_t(X0,sK4,X2)
| ~ s_t(X0,X1,sK3) ),
inference(superposition,[status(thm)],[c_87,c_10442]) ).
tcf(c_31409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK2,crossbar(X0,X1,sK3,X2,X3,sK5),sK3)
| ~ s_t(X2,X3,sK3)
| ~ s_t(X0,sK5,X2)
| ~ s_t(X0,X1,sK3) ),
inference(superposition,[status(thm)],[c_87,c_10604]) ).
tcf(c_31410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK2,sK5,crossbar(X0,X1,sK3,X2,X3,sK5))
| ~ s_t(X2,X3,sK3)
| ~ s_t(X0,sK5,X2)
| ~ s_t(X0,X1,sK3) ),
inference(superposition,[status(thm)],[c_87,c_10443]) ).
tcf(c_31411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK3,crossbar(X0,X1,sK0,X2,X3,sK4),sK0)
| ~ s_t(X2,X3,sK0)
| ~ s_t(X0,sK4,X2)
| ~ s_t(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_87,c_10610]) ).
tcf(c_31412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK3,sK4,crossbar(X0,X1,sK0,X2,X3,sK4))
| ~ s_t(X2,X3,sK0)
| ~ s_t(X0,sK4,X2)
| ~ s_t(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_87,c_10449]) ).
tcf(c_31413,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK3,crossbar(X0,X1,sK2,X2,X3,sK5),sK2)
| ~ s_t(X2,X3,sK2)
| ~ s_t(X0,sK5,X2)
| ~ s_t(X0,X1,sK2) ),
inference(superposition,[status(thm)],[c_87,c_10611]) ).
tcf(c_31414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK3,sK5,crossbar(X0,X1,sK2,X2,X3,sK5))
| ~ s_t(X2,X3,sK2)
| ~ s_t(X0,sK5,X2)
| ~ s_t(X0,X1,sK2) ),
inference(superposition,[status(thm)],[c_87,c_10450]) ).
tcf(c_31415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK0,sK4,crossbar(X0,X1,sK3,X2,X3,sK0))
| s_t(sK0,crossbar(X0,X1,sK3,X2,X3,sK0),sK4)
| ~ s_t(X2,X3,sK3)
| ~ s_t(X0,sK0,X2)
| ~ s_t(X0,X1,sK3) ),
inference(superposition,[status(thm)],[c_87,c_18217]) ).
tcf(c_31416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK2,sK5,crossbar(X0,X1,sK3,X2,X3,sK2))
| s_t(sK2,crossbar(X0,X1,sK3,X2,X3,sK2),sK5)
| ~ s_t(X2,X3,sK3)
| ~ s_t(X0,sK2,X2)
| ~ s_t(X0,X1,sK3) ),
inference(superposition,[status(thm)],[c_87,c_18218]) ).
tcf(c_31417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK3,sK4,crossbar(X0,X1,sK0,X2,X3,sK3))
| s_t(sK3,crossbar(X0,X1,sK0,X2,X3,sK3),sK4)
| ~ s_t(X2,X3,sK0)
| ~ s_t(X0,sK3,X2)
| ~ s_t(X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_87,c_18224]) ).
tcf(c_31418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK3,sK5,crossbar(X0,X1,sK2,X2,X3,sK3))
| s_t(sK3,crossbar(X0,X1,sK2,X2,X3,sK3),sK5)
| ~ s_t(X2,X3,sK2)
| ~ s_t(X0,sK3,X2)
| ~ s_t(X0,X1,sK2) ),
inference(superposition,[status(thm)],[c_87,c_18225]) ).
tcf(c_31740,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_31741,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_31742,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_31743,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_31744,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_31745,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_31746,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_31747,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_31748,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_31749,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_266]) ).
tcf(c_31750,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_265]) ).
tcf(c_31751,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_31752,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_31753,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_31754,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_31755,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_31756,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_31757,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_253]) ).
tcf(c_31758,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_252]) ).
tcf(c_31759,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_251]) ).
tcf(c_31760,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_31761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK0,crossbar(X0,sK4,X3,X2,sK3,X1),sK3)
| ~ s_t(X2,sK3,X3)
| ~ s_t(X0,sK4,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_10603]) ).
tcf(c_31762,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK0,sK4,crossbar(X0,sK4,X3,X2,sK3,X1))
| ~ s_t(X2,sK3,X3)
| ~ s_t(X0,sK4,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_10442]) ).
tcf(c_31763,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK2,crossbar(X0,sK5,X3,X2,sK3,X1),sK3)
| ~ s_t(X2,sK3,X3)
| ~ s_t(X0,sK5,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_10604]) ).
tcf(c_31764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK2,sK5,crossbar(X0,sK5,X3,X2,sK3,X1))
| ~ s_t(X2,sK3,X3)
| ~ s_t(X0,sK5,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_10443]) ).
tcf(c_31765,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK3,crossbar(X0,sK4,X3,X2,sK0,X1),sK0)
| ~ s_t(X2,sK0,X3)
| ~ s_t(X0,sK4,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_10610]) ).
tcf(c_31766,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK3,sK4,crossbar(X0,sK4,X3,X2,sK0,X1))
| ~ s_t(X2,sK0,X3)
| ~ s_t(X0,sK4,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_10449]) ).
tcf(c_31767,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK3,crossbar(X0,sK5,X3,X2,sK2,X1),sK2)
| ~ s_t(X2,sK2,X3)
| ~ s_t(X0,sK5,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_10611]) ).
tcf(c_31768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK3,sK5,crossbar(X0,sK5,X3,X2,sK2,X1))
| ~ s_t(X2,sK2,X3)
| ~ s_t(X0,sK5,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_10450]) ).
tcf(c_31769,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK0,sK4,crossbar(X0,sK0,X3,X2,sK3,X1))
| s_t(sK0,crossbar(X0,sK0,X3,X2,sK3,X1),sK4)
| ~ s_t(X2,sK3,X3)
| ~ s_t(X0,sK0,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_18217]) ).
tcf(c_31770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK2,sK5,crossbar(X0,sK2,X3,X2,sK3,X1))
| s_t(sK2,crossbar(X0,sK2,X3,X2,sK3,X1),sK5)
| ~ s_t(X2,sK3,X3)
| ~ s_t(X0,sK2,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_18218]) ).
tcf(c_31771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK3,sK4,crossbar(X0,sK3,X3,X2,sK0,X1))
| s_t(sK3,crossbar(X0,sK3,X3,X2,sK0,X1),sK4)
| ~ s_t(X2,sK0,X3)
| ~ s_t(X0,sK3,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_18224]) ).
tcf(c_31772,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(sK3,sK5,crossbar(X0,sK3,X3,X2,sK2,X1))
| s_t(sK3,crossbar(X0,sK3,X3,X2,sK2,X1),sK5)
| ~ s_t(X2,sK2,X3)
| ~ s_t(X0,sK3,X3)
| ~ s_t(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_88,c_18225]) ).
tcf(c_32198,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_32201,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_32202,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_32203,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_277,c_105]) ).
tcf(c_32204,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( midpoint(X0,X1) = X2 )
| ~ s_e(X2,X0,X2,X1)
| ~ s_col(midpoint(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_1804,c_105]) ).
tcf(c_32205,plain,
! [X0: $i] :
( ( sK0 = sK5 )
| ( X0 = iPr_def_10 )
| ~ s_col(iPr_def_10,X0,sK0)
| ~ s_e(X0,sK0,X0,sK5) ),
inference(superposition,[status(thm)],[c_8164,c_105]) ).
tcf(c_32206,plain,
! [X0: $i] :
( ( sK1 = sK2 )
| ( X0 = iPr_def_11 )
| ~ s_col(iPr_def_11,X0,sK2)
| ~ s_e(X0,sK2,X0,sK1) ),
inference(superposition,[status(thm)],[c_8166,c_105]) ).
tcf(c_32207,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_8176,c_105]) ).
tcf(c_32208,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_8183,c_105]) ).
tcf(c_32209,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( midpoint(X0,X1) = X2 )
| ~ s_e(X2,X1,X2,X0)
| ~ s_col(midpoint(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_8226,c_105]) ).
tcf(c_32210,plain,
! [X0: $i] :
( ( sK0 = sK5 )
| ( X0 = iPr_def_10 )
| ~ s_col(iPr_def_10,X0,sK5)
| ~ s_e(X0,sK5,X0,sK0) ),
inference(superposition,[status(thm)],[c_8232,c_105]) ).
tcf(c_32211,plain,
! [X0: $i] :
( ( sK1 = sK2 )
| ( X0 = iPr_def_11 )
| ~ s_col(iPr_def_11,X0,sK1)
| ~ s_e(X0,sK1,X0,sK2) ),
inference(superposition,[status(thm)],[c_8238,c_105]) ).
tcf(c_32214,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( s(midpoint(X2,X2),X1) = X1 )
| ~ s_col(X2,X0,X1)
| ~ s_e(X0,X1,X0,s(midpoint(X2,X2),X1)) ),
inference(superposition,[status(thm)],[c_8479,c_105]) ).
tcf(c_32216,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_8752,c_105]) ).
tcf(c_32217,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( s(midpoint(X1,X1),X2) = X2 )
| ~ s_col(X1,X0,s(midpoint(X1,X1),X2))
| ~ s_e(X0,s(midpoint(X1,X1),X2),X0,X2) ),
inference(superposition,[status(thm)],[c_8766,c_105]) ).
tcf(c_32218,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_8789,c_105]) ).
tcf(c_32219,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_8794,c_105]) ).
tcf(c_32221,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ( s(midpoint(X1,X2),X2) = X1 )
| ~ s_col(X2,X0,X1)
| ~ s_e(X0,X1,X0,s(midpoint(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_8800,c_105]) ).
tcf(c_32227,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_8880,c_105]) ).
tcf(c_32228,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_8889,c_105]) ).
tcf(c_32231,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ( s(midpoint(sK1,sK2),sK0) = sK5 )
| ~ s_col(sK2,X0,sK5)
| ~ s_e(X0,sK5,X0,s(midpoint(sK1,sK2),sK0)) ),
inference(superposition,[status(thm)],[c_14744,c_105]) ).
tcf(c_32232,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ( s(iPr_def_11,sK0) = sK5 )
| ~ s_col(sK2,X0,sK5)
| ~ s_e(X0,sK5,X0,s(iPr_def_11,sK0)) ),
inference(superposition,[status(thm)],[c_14745,c_105]) ).
tcf(c_32233,plain,
! [X0: $i] :
( ( X0 = sK2 )
| ( s(midpoint(sK2,sK1),sK0) = sK5 )
| ~ s_col(sK2,X0,sK5)
| ~ s_e(X0,sK5,X0,s(midpoint(sK2,sK1),sK0)) ),
inference(superposition,[status(thm)],[c_14749,c_105]) ).
tcf(c_32234,plain,
! [X0: $i,X1: $i] :
( ( X0 = sK2 )
| ( ext(X1,sK2,sK1,sK0) = sK5 )
| ~ s_col(sK2,X0,sK5)
| ~ s_e(X0,sK5,X0,ext(X1,sK2,sK1,sK0)) ),
inference(superposition,[status(thm)],[c_14751,c_105]) ).
tcf(c_32334,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_249,c_188]) ).
tcf(c_32335,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_249,c_101]) ).
tcf(c_32336,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_249,c_93]) ).
tcf(c_32355,plain,
( s_e(sK2,sK5,sK5,sK2)
| ~ le(sK5,sK2,sK2,sK5) ),
inference(superposition,[status(thm)],[c_30757,c_117]) ).
tcf(c_32356,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X0,X1)
| ~ le(sK5,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_30757,c_116]) ).
tcf(c_32361,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X0,X1)
| ~ le(sK0,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_31199,c_116]) ).
tcf(c_32367,plain,
! [X0: $i] :
( s_t(sK3,X0,s(sK0,sK3))
| s_t(X0,sK3,s(sK0,sK3))
| ( s(sK0,sK3) = sK4 )
| ~ s_t(X0,sK4,s(sK0,sK3)) ),
inference(superposition,[status(thm)],[c_12893,c_147]) ).
tcf(c_32368,plain,
! [X0: $i] :
( s_col(X0,sK4,sK3)
| ( sK3 = sK4 )
| ( s(sK0,sK3) = sK4 )
| ~ sameside(X0,sK4,s(sK0,sK3)) ),
inference(superposition,[status(thm)],[c_12893,c_145]) ).
tcf(c_32369,plain,
! [X0: $i] :
( s_t(sK4,X0,s(sK0,sK3))
| s_t(sK4,s(sK0,sK3),X0)
| ( sK3 = sK4 )
| ~ s_t(sK3,sK4,X0) ),
inference(superposition,[status(thm)],[c_12893,c_108]) ).
tcf(c_32370,plain,
! [X0: $i] :
( s_t(sK3,X0,s(sK0,sK3))
| s_t(sK3,s(sK0,sK3),X0)
| ( sK3 = sK4 )
| ~ s_t(sK3,sK4,X0) ),
inference(superposition,[status(thm)],[c_12893,c_107]) ).
tcf(c_32371,plain,
! [X0: $i] :
( ( X0 = sK4 )
| ~ s_r(sK3,X0,sK4)
| ~ s_r(s(sK0,sK3),X0,sK4) ),
inference(superposition,[status(thm)],[c_12893,c_184]) ).
tcf(c_32372,plain,
! [X0: $i] :
( s_t(sK3,sK4,X0)
| s_t(sK3,X0,sK4)
| ~ s_t(sK3,X0,s(sK0,sK3)) ),
inference(superposition,[status(thm)],[c_12893,c_109]) ).
tcf(c_32373,plain,
! [X0: $i] :
( s_t(sK3,sK4,X0)
| ( s(sK0,sK3) = sK4 )
| ~ s_t(sK4,s(sK0,sK3),X0) ),
inference(superposition,[status(thm)],[c_12893,c_81]) ).
tcf(c_32374,plain,
! [X0: $i] :
( s_t(sK3,s(sK0,sK3),X0)
| ( s(sK0,sK3) = sK4 )
| ~ s_t(sK4,s(sK0,sK3),X0) ),
inference(superposition,[status(thm)],[c_12893,c_78]) ).
tcf(c_32375,plain,
( sameside(s(sK0,sK3),sK3,sK4)
| ( sK3 = sK4 )
| ( s(sK0,sK3) = sK3 ) ),
inference(superposition,[status(thm)],[c_12893,c_266]) ).
tcf(c_32376,plain,
( sameside(sK4,sK3,s(sK0,sK3))
| ( sK3 = xb )
| ( sK3 = sK4 ) ),
inference(superposition,[status(thm)],[c_12893,c_265]) ).
tcf(c_32377,plain,
! [X0: $i] :
( s_t(sK3,sK4,X0)
| ~ s_t(sK3,s(sK0,sK3),X0) ),
inference(superposition,[status(thm)],[c_12893,c_80]) ).
tcf(c_32378,plain,
! [X0: $i] :
( s_t(sK3,X0,s(sK0,sK3))
| ~ s_t(sK4,X0,s(sK0,sK3)) ),
inference(superposition,[status(thm)],[c_12893,c_79]) ).
tcf(c_32379,plain,
! [X0: $i] :
( s_t(sK4,s(sK0,sK3),X0)
| ~ s_t(sK3,s(sK0,sK3),X0) ),
inference(superposition,[status(thm)],[c_12893,c_77]) ).
tcf(c_32380,plain,
! [X0: $i] :
( s_t(sK3,sK4,X0)
| ~ s_t(sK4,X0,s(sK0,sK3)) ),
inference(superposition,[status(thm)],[c_12893,c_76]) ).
tcf(c_32381,plain,
( ( sK3 = sK4 )
| ~ s_t(sK4,sK3,s(sK0,sK3)) ),
inference(superposition,[status(thm)],[c_12893,c_75]) ).
tcf(c_32382,plain,
~ sameside(sK3,sK4,s(sK0,sK3)),
inference(superposition,[status(thm)],[c_12893,c_133]) ).
tcf(c_32383,plain,
s_col(sK4,s(sK0,sK3),sK3),
inference(superposition,[status(thm)],[c_12893,c_253]) ).
tcf(c_32384,plain,
s_col(s(sK0,sK3),sK3,sK4),
inference(superposition,[status(thm)],[c_12893,c_252]) ).
tcf(c_32385,plain,
s_col(sK3,sK4,s(sK0,sK3)),
inference(superposition,[status(thm)],[c_12893,c_251]) ).
tcf(c_32386,plain,
s_t(s(sK0,sK3),sK4,sK3),
inference(superposition,[status(thm)],[c_12893,c_73]) ).
tcf(c_32483,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(sK2,sK5,X1,X2)
| ~ s_t(sK2,sK5,sK2)
| ~ le(X0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_31330,c_116]) ).
tcf(c_32486,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X0,X1)
| ~ s_t(sK2,sK5,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32483,c_119]) ).
tcf(c_32495,plain,
( le(iPr_def_10,sK0,sK1,sK0)
| le(sK2,sK5,iPr_def_10,sK5) ),
inference(superposition,[status(thm)],[c_118,c_30655]) ).
tcf(c_32497,plain,
( le(sK2,sK5,iPr_def_10,sK5)
| ~ s_t(iPr_def_10,sK1,sK0) ),
inference(superposition,[status(thm)],[c_359,c_30655]) ).
tcf(c_32506,plain,
( le(iPr_def_11,sK2,sK1,sK0)
| le(sK2,sK5,iPr_def_11,sK1) ),
inference(superposition,[status(thm)],[c_118,c_30656]) ).
tcf(c_32514,plain,
( le(iPr_def_10,sK5,sK1,sK0)
| le(sK2,sK5,iPr_def_10,sK0) ),
inference(superposition,[status(thm)],[c_118,c_30660]) ).
tcf(c_32522,plain,
( le(iPr_def_11,sK1,sK1,sK0)
| le(sK2,sK5,iPr_def_11,sK2) ),
inference(superposition,[status(thm)],[c_118,c_30661]) ).
tcf(c_32530,plain,
( le(sK2,sK5,sK5,iPr_def_10)
| le(sK0,iPr_def_10,sK1,sK0) ),
inference(superposition,[status(thm)],[c_118,c_30676]) ).
tcf(c_32538,plain,
( le(sK2,iPr_def_11,sK1,sK0)
| le(sK2,sK5,sK1,iPr_def_11) ),
inference(superposition,[status(thm)],[c_118,c_30678]) ).
tcf(c_32540,plain,
( le(sK2,sK5,sK1,iPr_def_11)
| ~ s_t(sK2,sK5,iPr_def_11) ),
inference(superposition,[status(thm)],[c_13727,c_30678]) ).
tcf(c_32792,plain,
( s_e(sK2,sK5,sK1,iPr_def_11)
| ~ s_t(sK2,sK5,iPr_def_11)
| ~ le(sK1,iPr_def_11,sK2,sK5) ),
inference(superposition,[status(thm)],[c_32540,c_117]) ).
tcf(c_32793,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X0,X1)
| ~ s_t(sK2,sK5,iPr_def_11)
| ~ le(sK1,iPr_def_11,X0,X1) ),
inference(superposition,[status(thm)],[c_32540,c_116]) ).
tcf(c_32801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( le(sK2,sK5,X3,X2)
| ~ le(sK1,sK0,ext(X0,X1,X2,X3),X1) ),
inference(superposition,[status(thm)],[c_8924,c_29617]) ).
tcf(c_32802,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_8924,c_114]) ).
tcf(c_32803,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_8924,c_91]) ).
tcf(c_32804,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_8924,c_68]) ).
tcf(c_32805,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_8924,c_63]) ).
tcf(c_32806,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_8924,c_50]) ).
tcf(c_32807,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_8924,c_261]) ).
tcf(c_32808,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_8924,c_113]) ).
tcf(c_32838,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_32839,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_32841,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_248]) ).
tcf(c_32843,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_246]) ).
tcf(c_32866,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_32867,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_32868,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_32869,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_32870,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_32871,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_277,c_104]) ).
tcf(c_32872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X0,X3,X1)
| ( midpoint(X0,X1) = X2 )
| ~ s_e(X2,X0,X2,X1)
| ~ s_col(midpoint(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_1804,c_104]) ).
tcf(c_32873,plain,
! [X0: $i,X1: $i] :
( s_e(X1,sK0,X1,sK5)
| ( X0 = iPr_def_10 )
| ~ s_col(iPr_def_10,X0,X1)
| ~ s_e(X0,sK0,X0,sK5) ),
inference(superposition,[status(thm)],[c_8164,c_104]) ).
tcf(c_32874,plain,
! [X0: $i,X1: $i] :
( s_e(X1,sK2,X1,sK1)
| ( X0 = iPr_def_11 )
| ~ s_col(iPr_def_11,X0,X1)
| ~ s_e(X0,sK2,X0,sK1) ),
inference(superposition,[status(thm)],[c_8166,c_104]) ).
tcf(c_32875,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_8176,c_104]) ).
tcf(c_32876,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_8183,c_104]) ).
tcf(c_32877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X3,X0)
| ( midpoint(X0,X1) = X2 )
| ~ s_e(X2,X1,X2,X0)
| ~ s_col(midpoint(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_8226,c_104]) ).
tcf(c_32878,plain,
! [X0: $i,X1: $i] :
( s_e(X1,sK5,X1,sK0)
| ( X0 = iPr_def_10 )
| ~ s_col(iPr_def_10,X0,X1)
| ~ s_e(X0,sK5,X0,sK0) ),
inference(superposition,[status(thm)],[c_8232,c_104]) ).
tcf(c_32879,plain,
! [X0: $i,X1: $i] :
( s_e(X1,sK1,X1,sK2)
| ( X0 = iPr_def_11 )
| ~ s_col(iPr_def_11,X0,X1)
| ~ s_e(X0,sK1,X0,sK2) ),
inference(superposition,[status(thm)],[c_8238,c_104]) ).
tcf(c_32881,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,midpoint(X1,X1),X2,midpoint(X1,X1))
| ( X0 = X1 )
| ~ s_col(X1,X0,X2)
| ~ s_e(X0,midpoint(X1,X1),X0,midpoint(X1,X1)) ),
inference(superposition,[status(thm)],[c_8455,c_104]) ).
tcf(c_32882,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X3,s(midpoint(X2,X2),X1))
| ( X0 = X2 )
| ~ s_col(X2,X0,X3)
| ~ s_e(X0,X1,X0,s(midpoint(X2,X2),X1)) ),
inference(superposition,[status(thm)],[c_8479,c_104]) ).
tcf(c_32884,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_8752,c_104]) ).
tcf(c_32885,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,s(midpoint(X1,X1),X2),X3,X2)
| ( X0 = X1 )
| ~ s_col(X1,X0,X3)
| ~ s_e(X0,s(midpoint(X1,X1),X2),X0,X2) ),
inference(superposition,[status(thm)],[c_8766,c_104]) ).
tcf(c_32886,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_8789,c_104]) ).
tcf(c_32888,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_8799,c_104]) ).
tcf(c_32889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X3,X1,X3,s(midpoint(X1,X2),X2))
| ( X0 = X2 )
| ~ s_col(X2,X0,X3)
| ~ s_e(X0,X1,X0,s(midpoint(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_8800,c_104]) ).
tcf(c_32890,plain,
! [X0: $i,X1: $i] :
( s_e(X1,sK0,X1,s(iPr_def_10,sK5))
| ( X0 = sK5 )
| ~ s_col(sK5,X0,X1)
| ~ s_e(X0,sK0,X0,s(iPr_def_10,sK5)) ),
inference(superposition,[status(thm)],[c_8801,c_104]) ).
tcf(c_32891,plain,
! [X0: $i,X1: $i] :
( s_e(X1,sK2,X1,s(iPr_def_11,sK1))
| ( X0 = sK1 )
| ~ s_col(sK1,X0,X1)
| ~ s_e(X0,sK2,X0,s(iPr_def_11,sK1)) ),
inference(superposition,[status(thm)],[c_8802,c_104]) ).
tcf(c_32892,plain,
! [X0: $i,X1: $i] :
( s_e(X1,sK5,X1,s(iPr_def_10,sK0))
| ( X0 = sK0 )
| ~ s_col(sK0,X0,X1)
| ~ s_e(X0,sK5,X0,s(iPr_def_10,sK0)) ),
inference(superposition,[status(thm)],[c_8803,c_104]) ).
tcf(c_32893,plain,
! [X0: $i,X1: $i] :
( s_e(X1,sK1,X1,s(iPr_def_11,sK2))
| ( X0 = sK2 )
| ~ s_col(sK2,X0,X1)
| ~ s_e(X0,sK1,X0,s(iPr_def_11,sK2)) ),
inference(superposition,[status(thm)],[c_8804,c_104]) ).
tcf(c_32894,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_8805,c_104]) ).
tcf(c_32895,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_8880,c_104]) ).
tcf(c_32897,plain,
! [X0: $i,X1: $i] :
( s_e(X1,s(iPr_def_10,sK0),X1,sK5)
| ( X0 = sK0 )
| ~ s_col(sK0,X0,X1)
| ~ s_e(X0,s(iPr_def_10,sK0),X0,sK5) ),
inference(superposition,[status(thm)],[c_9156,c_104]) ).
tcf(c_32898,plain,
! [X0: $i,X1: $i] :
( s_e(X1,s(iPr_def_11,sK2),X1,sK1)
| ( X0 = sK2 )
| ~ s_col(sK2,X0,X1)
| ~ s_e(X0,s(iPr_def_11,sK2),X0,sK1) ),
inference(superposition,[status(thm)],[c_9346,c_104]) ).
tcf(c_32899,plain,
! [X0: $i,X1: $i] :
( s_e(X1,sK5,X1,s(midpoint(sK1,sK2),sK0))
| ( X0 = sK2 )
| ~ s_col(sK2,X0,X1)
| ~ s_e(X0,sK5,X0,s(midpoint(sK1,sK2),sK0)) ),
inference(superposition,[status(thm)],[c_14744,c_104]) ).
tcf(c_32900,plain,
! [X0: $i,X1: $i] :
( s_e(X1,sK5,X1,s(iPr_def_11,sK0))
| ( X0 = sK2 )
| ~ s_col(sK2,X0,X1)
| ~ s_e(X0,sK5,X0,s(iPr_def_11,sK0)) ),
inference(superposition,[status(thm)],[c_14745,c_104]) ).
tcf(c_32901,plain,
! [X0: $i,X1: $i] :
( s_e(X1,sK5,X1,s(midpoint(sK2,sK1),sK0))
| ( X0 = sK2 )
| ~ s_col(sK2,X0,X1)
| ~ s_e(X0,sK5,X0,s(midpoint(sK2,sK1),sK0)) ),
inference(superposition,[status(thm)],[c_14749,c_104]) ).
tcf(c_32902,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,sK5,X2,ext(X1,sK2,sK1,sK0))
| ( X0 = sK2 )
| ~ s_col(sK2,X0,X2)
| ~ s_e(X0,sK5,X0,ext(X1,sK2,sK1,sK0)) ),
inference(superposition,[status(thm)],[c_14751,c_104]) ).
tcf(c_32923,plain,
! [X0: $i,X1: $i] :
( s_e(X1,sK1,X1,sK1)
| ( X0 = sK2 )
| ~ s_col(sK2,X0,X1)
| ~ s_e(X0,sK1,X0,sK1) ),
inference(light_normalisation,[status(thm)],[c_32898,c_8224]) ).
tcf(c_32924,plain,
! [X0: $i,X1: $i] :
( s_e(X1,sK5,X1,sK5)
| ( X0 = sK0 )
| ~ s_col(sK0,X0,X1)
| ~ s_e(X0,sK5,X0,sK5) ),
inference(light_normalisation,[status(thm)],[c_32897,c_8223]) ).
tcf(c_32931,plain,
! [X0: $i,X1: $i] :
( s_e(X1,sK2,X1,sK2)
| ( X0 = sK1 )
| ~ s_col(sK1,X0,X1)
| ~ s_e(X0,sK2,X0,sK2) ),
inference(light_normalisation,[status(thm)],[c_32891,c_8241]) ).
tcf(c_32932,plain,
! [X0: $i,X1: $i] :
( s_e(X1,sK0,X1,sK0)
| ( X0 = sK5 )
| ~ s_col(sK5,X0,X1)
| ~ s_e(X0,sK0,X0,sK0) ),
inference(light_normalisation,[status(thm)],[c_32890,c_8235]) ).
tcf(c_33010,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_33011,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_33012,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_33013,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_361,c_112]) ).
tcf(c_33014,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_359,c_112]) ).
tcf(c_33015,plain,
! [X0: $i] :
( ( ext(sK1,X0,ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0),sK5) = ins(sK2,sK5,sK1,X0) )
| ~ s_t(sK1,X0,sK0) ),
inference(superposition,[status(thm)],[c_12283,c_112]) ).
tcf(c_33016,plain,
! [X0: $i] :
( ( ext(sK2,X0,ext(ext(sK0,sK1,alpha,gamma),sK1,sK2,X0),sK0) = ins(sK1,sK0,sK2,X0) )
| ~ s_t(sK2,X0,sK5) ),
inference(superposition,[status(thm)],[c_12326,c_112]) ).
tcf(c_33017,plain,
! [X0: $i] :
( ( ext(sK0,X0,ext(ext(sK5,sK2,alpha,gamma),sK2,sK0,X0),sK5) = ins(sK2,sK5,sK0,X0) )
| ~ s_t(sK0,X0,sK1) ),
inference(superposition,[status(thm)],[c_12327,c_112]) ).
tcf(c_33018,plain,
! [X0: $i] :
( ( ext(sK1,sK0,ext(ext(X0,sK2,alpha,gamma),sK2,sK1,sK0),X0) = ins(sK2,X0,sK1,sK0) )
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_13727,c_112]) ).
tcf(c_33019,plain,
! [X0: $i] :
( ( ext(sK2,sK5,ext(ext(X0,sK1,alpha,gamma),sK1,sK2,sK5),X0) = ins(sK1,X0,sK2,sK5) )
| ~ s_t(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_13770,c_112]) ).
tcf(c_33020,plain,
! [X0: $i] :
( ( ext(sK0,sK1,ext(ext(X0,sK2,alpha,gamma),sK2,sK0,sK1),X0) = ins(sK2,X0,sK0,sK1) )
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_13773,c_112]) ).
tcf(c_33021,plain,
( ( ext(sK2,sK5,ext(ext(iPr_def_11,sK1,alpha,gamma),sK1,sK2,sK5),iPr_def_11) = ins(sK1,iPr_def_11,sK2,sK5) )
| ~ s_t(sK2,sK5,iPr_def_11) ),
inference(superposition,[status(thm)],[c_32540,c_112]) ).
tcf(c_33022,plain,
! [X0: $i] :
( ( ext(sK2,sK5,ext(ext(sK2,X0,alpha,gamma),X0,sK2,sK5),sK2) = ins(X0,sK2,sK2,sK5) )
| ~ s_t(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_31204,c_112]) ).
tcf(c_33023,plain,
ext(sK2,sK5,ext(ext(sK0,sK1,alpha,gamma),sK1,sK2,sK5),sK0) = ins(sK1,sK0,sK2,sK5),
inference(superposition,[status(thm)],[c_31308,c_112]) ).
tcf(c_33024,plain,
ext(sK2,sK5,ext(ext(sK1,sK0,alpha,gamma),sK0,sK2,sK5),sK1) = ins(sK0,sK1,sK2,sK5),
inference(superposition,[status(thm)],[c_31199,c_112]) ).
tcf(c_33025,plain,
ext(sK2,sK5,ext(ext(sK2,sK5,alpha,gamma),sK5,sK2,sK5),sK2) = ins(sK5,sK2,sK2,sK5),
inference(superposition,[status(thm)],[c_30757,c_112]) ).
tcf(c_33068,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_33069,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_33070,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_33073,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_33074,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_33075,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_33076,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_33077,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_33078,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_33079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X0)
| s_t(X3,erectAux21a(X1,X2,X0),erect21a(X1,X2,X0))
| ( X1 = X2 )
| ( erectAux21a(X1,X2,X0) = X3 )
| ( erectAux21a(X1,X2,X0) = X0 )
| ( erect21a(X1,X2,X0) = erectAux21a(X1,X2,X0) )
| ~ sameside(X0,erectAux21a(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_217,c_125]) ).
tcf(c_33080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_t(X3,erectAux(X1,X2,X0),erect(X1,X2,X0))
| ( X1 = X2 )
| ( erectAux(X1,X2,X0) = X3 )
| ( erectAux(X1,X2,X0) = X0 )
| ( erect(X1,X2,X0) = erectAux(X1,X2,X0) )
| ~ sameside(X0,erectAux(X1,X2,X0),X3) ),
inference(superposition,[status(thm)],[c_220,c_125]) ).
tcf(c_33081,plain,
! [X0: $i] :
( s_t(X0,sK4,sK3)
| ( sK3 = sK4 )
| ( sK0 = sK4 )
| ( X0 = sK4 )
| ~ sameside(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_5723,c_125]) ).
tcf(c_33082,plain,
! [X0: $i] :
( s_t(X0,sK5,sK3)
| ( sK3 = sK5 )
| ( sK2 = sK5 )
| ( X0 = sK5 )
| ~ sameside(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_5722,c_125]) ).
tcf(c_33083,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_259,c_125]) ).
tcf(c_33084,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,midpoint(X0,X1),X1)
| ( midpoint(X0,X1) = X2 )
| ( midpoint(X0,X1) = X1 )
| ( midpoint(X0,X1) = X0 )
| ~ sameside(X0,midpoint(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_1750,c_125]) ).
tcf(c_33085,plain,
! [X0: $i] :
( s_t(X0,iPr_def_10,sK5)
| ( sK5 = iPr_def_10 )
| ( sK0 = iPr_def_10 )
| ( X0 = iPr_def_10 )
| ~ sameside(sK0,iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_8163,c_125]) ).
tcf(c_33086,plain,
! [X0: $i] :
( s_t(X0,iPr_def_11,sK1)
| ( sK2 = iPr_def_11 )
| ( sK1 = iPr_def_11 )
| ( X0 = iPr_def_11 )
| ~ sameside(sK2,iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_8165,c_125]) ).
tcf(c_33087,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_8175,c_125]) ).
tcf(c_33088,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_8180,c_125]) ).
tcf(c_33089,plain,
! [X0: $i] :
( s_t(X0,sK4,sK0)
| ( sK3 = sK4 )
| ( sK0 = sK4 )
| ( X0 = sK4 )
| ~ sameside(sK3,sK4,X0) ),
inference(superposition,[status(thm)],[c_8200,c_125]) ).
tcf(c_33090,plain,
! [X0: $i] :
( s_t(X0,sK5,sK2)
| ( sK3 = sK5 )
| ( sK2 = sK5 )
| ( X0 = sK5 )
| ~ sameside(sK3,sK5,X0) ),
inference(superposition,[status(thm)],[c_8201,c_125]) ).
tcf(c_33091,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,midpoint(X1,X0),X1)
| ( midpoint(X1,X0) = X2 )
| ( midpoint(X1,X0) = X1 )
| ( midpoint(X1,X0) = X0 )
| ~ sameside(X0,midpoint(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_8202,c_125]) ).
tcf(c_33092,plain,
! [X0: $i] :
( s_t(X0,iPr_def_10,sK0)
| ( sK5 = iPr_def_10 )
| ( sK0 = iPr_def_10 )
| ( X0 = iPr_def_10 )
| ~ sameside(sK5,iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_8203,c_125]) ).
tcf(c_33093,plain,
! [X0: $i] :
( s_t(X0,iPr_def_11,sK2)
| ( sK2 = iPr_def_11 )
| ( sK1 = iPr_def_11 )
| ( X0 = iPr_def_11 )
| ~ sameside(sK1,iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_8204,c_125]) ).
tcf(c_33094,plain,
! [X0: $i] :
( s_t(sK2,sK4,sK1)
| s_t(sK1,sK2,sK4)
| s_t(X0,sK1,sK2)
| ( sK1 = sK4 )
| ( sK1 = sK2 )
| ( X0 = sK1 )
| ~ sameside(sK4,sK1,X0) ),
inference(superposition,[status(thm)],[c_16412,c_125]) ).
tcf(c_33095,plain,
! [X0: $i] :
( s_t(sK2,sK1,sK4)
| s_t(sK1,sK4,sK2)
| s_t(X0,sK2,sK1)
| ( sK2 = sK4 )
| ( sK1 = sK2 )
| ( X0 = sK2 )
| ~ sameside(sK4,sK2,X0) ),
inference(superposition,[status(thm)],[c_16414,c_125]) ).
tcf(c_33096,plain,
! [X0: $i] :
( s_t(X0,sK4,midpoint(sK3,sK4))
| ( sK0 = sK4 )
| ( X0 = sK4 )
| ( midpoint(sK3,sK4) = sK4 )
| ~ sameside(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_10794,c_125]) ).
tcf(c_33097,plain,
! [X0: $i] :
( s_t(X0,sK5,midpoint(sK3,sK5))
| ( sK2 = sK5 )
| ( X0 = sK5 )
| ( midpoint(sK3,sK5) = sK5 )
| ~ sameside(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_10807,c_125]) ).
tcf(c_33098,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,sK3,ext(sK0,sK3,X1,X2))
| ( sK3 = sK4 )
| ( X0 = sK3 )
| ( ext(sK0,sK3,X1,X2) = sK3 )
| ~ sameside(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_10812,c_125]) ).
tcf(c_33099,plain,
! [X0: $i,X1: $i] :
( s_t(X1,sK3,c63(sK0,sK3,X0))
| ( sK3 = sK4 )
| ( X1 = sK3 )
| ( c63(sK0,sK3,X0) = sK3 )
| ~ sameside(sK4,sK3,X1)
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_10814,c_125]) ).
tcf(c_33100,plain,
! [X0: $i,X1: $i] :
( s_t(X1,sK3,c63(X0,sK3,sK0))
| ( sK3 = sK4 )
| ( X1 = sK3 )
| ( c63(X0,sK3,sK0) = sK3 )
| ~ sameside(sK4,sK3,X1)
| ~ sameside(X0,sK3,sK0) ),
inference(superposition,[status(thm)],[c_10815,c_125]) ).
tcf(c_33101,plain,
! [X0: $i] :
( s_t(X0,sK3,s(sK3,sK0))
| ( sK3 = sK4 )
| ( X0 = sK3 )
| ( s(sK3,sK0) = sK3 )
| ~ sameside(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_10816,c_125]) ).
tcf(c_33102,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,sK3,ext(sK2,sK3,X1,X2))
| ( sK3 = sK5 )
| ( X0 = sK3 )
| ( ext(sK2,sK3,X1,X2) = sK3 )
| ~ sameside(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_10836,c_125]) ).
tcf(c_33103,plain,
! [X0: $i,X1: $i] :
( s_t(X1,sK3,c63(sK2,sK3,X0))
| ( sK3 = sK5 )
| ( X1 = sK3 )
| ( c63(sK2,sK3,X0) = sK3 )
| ~ sameside(sK5,sK3,X1)
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_10838,c_125]) ).
tcf(c_33104,plain,
! [X0: $i,X1: $i] :
( s_t(X1,sK3,c63(X0,sK3,sK2))
| ( sK3 = sK5 )
| ( X1 = sK3 )
| ( c63(X0,sK3,sK2) = sK3 )
| ~ sameside(sK5,sK3,X1)
| ~ sameside(X0,sK3,sK2) ),
inference(superposition,[status(thm)],[c_10839,c_125]) ).
tcf(c_33105,plain,
! [X0: $i] :
( s_t(X0,sK3,s(sK3,sK2))
| ( sK3 = sK5 )
| ( X0 = sK3 )
| ( s(sK3,sK2) = sK3 )
| ~ sameside(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_10840,c_125]) ).
tcf(c_33106,plain,
! [X0: $i] :
( s_t(X0,midpoint(sK3,sK4),sK3)
| ( midpoint(sK3,sK4) = sK3 )
| ( midpoint(sK3,sK4) = sK0 )
| ( midpoint(sK3,sK4) = X0 )
| ~ sameside(sK0,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_10855,c_125]) ).
tcf(c_33107,plain,
! [X0: $i] :
( s_t(X0,midpoint(sK3,sK5),sK3)
| ( midpoint(sK3,sK5) = sK3 )
| ( midpoint(sK3,sK5) = sK2 )
| ( midpoint(sK3,sK5) = X0 )
| ~ sameside(sK2,midpoint(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_10867,c_125]) ).
tcf(c_33108,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,sK4,ext(sK0,sK3,X1,X2))
| ( sK0 = sK4 )
| ( X0 = sK4 )
| ( ext(sK0,sK3,X1,X2) = sK4 )
| ~ sameside(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_10872,c_125]) ).
tcf(c_33109,plain,
! [X0: $i,X1: $i] :
( s_t(X1,sK4,c63(sK0,sK3,X0))
| ( sK0 = sK4 )
| ( X1 = sK4 )
| ( c63(sK0,sK3,X0) = sK4 )
| ~ sameside(sK0,sK4,X1)
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_10874,c_125]) ).
tcf(c_33110,plain,
! [X0: $i,X1: $i] :
( s_t(X1,sK4,c63(X0,sK3,sK0))
| ( sK0 = sK4 )
| ( X1 = sK4 )
| ( c63(X0,sK3,sK0) = sK4 )
| ~ sameside(sK0,sK4,X1)
| ~ sameside(X0,sK3,sK0) ),
inference(superposition,[status(thm)],[c_10875,c_125]) ).
tcf(c_33111,plain,
! [X0: $i] :
( s_t(X0,sK4,s(sK3,sK0))
| ( sK0 = sK4 )
| ( X0 = sK4 )
| ( s(sK3,sK0) = sK4 )
| ~ sameside(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_10876,c_125]) ).
tcf(c_33112,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,sK5,ext(sK2,sK3,X1,X2))
| ( sK2 = sK5 )
| ( X0 = sK5 )
| ( ext(sK2,sK3,X1,X2) = sK5 )
| ~ sameside(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_10893,c_125]) ).
tcf(c_33113,plain,
! [X0: $i,X1: $i] :
( s_t(X1,sK5,c63(sK2,sK3,X0))
| ( sK2 = sK5 )
| ( X1 = sK5 )
| ( c63(sK2,sK3,X0) = sK5 )
| ~ sameside(sK2,sK5,X1)
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_10895,c_125]) ).
tcf(c_33114,plain,
! [X0: $i,X1: $i] :
( s_t(X1,sK5,c63(X0,sK3,sK2))
| ( sK2 = sK5 )
| ( X1 = sK5 )
| ( c63(X0,sK3,sK2) = sK5 )
| ~ sameside(sK2,sK5,X1)
| ~ sameside(X0,sK3,sK2) ),
inference(superposition,[status(thm)],[c_10896,c_125]) ).
tcf(c_33115,plain,
! [X0: $i] :
( s_t(X0,sK5,s(sK3,sK2))
| ( sK2 = sK5 )
| ( X0 = sK5 )
| ( s(sK3,sK2) = sK5 )
| ~ sameside(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_10897,c_125]) ).
tcf(c_33116,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,sK4,ins(X0,X1,sK0,sK3))
| ( sK0 = sK4 )
| ( X2 = sK4 )
| ( ins(X0,X1,sK0,sK3) = sK4 )
| ~ sameside(sK0,sK4,X2)
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_10944,c_125]) ).
tcf(c_33117,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,sK3,ins(X0,X1,sK0,sK3))
| ( sK3 = sK4 )
| ( X2 = sK3 )
| ( ins(X0,X1,sK0,sK3) = sK3 )
| ~ sameside(sK4,sK3,X2)
| ~ le(sK0,sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_10945,c_125]) ).
tcf(c_33118,plain,
! [X0: $i] :
( s_t(X0,sK4,sK0)
| ( sK0 = sK4 )
| ( X0 = sK4 )
| ( midpoint(sK3,sK4) = sK4 )
| ~ sameside(midpoint(sK3,sK4),sK4,X0) ),
inference(superposition,[status(thm)],[c_11193,c_125]) ).
tcf(c_33119,plain,
! [X0: $i] :
( s_t(X0,sK5,sK2)
| ( sK2 = sK5 )
| ( X0 = sK5 )
| ( midpoint(sK3,sK5) = sK5 )
| ~ sameside(midpoint(sK3,sK5),sK5,X0) ),
inference(superposition,[status(thm)],[c_11222,c_125]) ).
tcf(c_33120,plain,
! [X0: $i] :
( s_t(X0,sK3,sK4)
| ( sK3 = sK4 )
| ( X0 = sK3 )
| ( s(sK3,sK0) = sK3 )
| ~ sameside(s(sK3,sK0),sK3,X0) ),
inference(superposition,[status(thm)],[c_11254,c_125]) ).
tcf(c_33121,plain,
! [X0: $i] :
( s_t(X0,sK3,sK5)
| ( sK3 = sK5 )
| ( X0 = sK3 )
| ( s(sK3,sK2) = sK3 )
| ~ sameside(s(sK3,sK2),sK3,X0) ),
inference(superposition,[status(thm)],[c_11286,c_125]) ).
tcf(c_33122,plain,
! [X0: $i] :
( s_t(X0,midpoint(sK3,sK4),sK0)
| ( midpoint(sK3,sK4) = sK3 )
| ( midpoint(sK3,sK4) = sK0 )
| ( midpoint(sK3,sK4) = X0 )
| ~ sameside(sK3,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_11315,c_125]) ).
tcf(c_33123,plain,
! [X0: $i] :
( s_t(X0,midpoint(sK3,sK5),sK2)
| ( midpoint(sK3,sK5) = sK3 )
| ( midpoint(sK3,sK5) = sK2 )
| ( midpoint(sK3,sK5) = X0 )
| ~ sameside(sK3,midpoint(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_11348,c_125]) ).
tcf(c_33124,plain,
! [X0: $i] :
( s_t(X0,sK4,sK0)
| ( sK0 = sK4 )
| ( X0 = sK4 )
| ( s(sK3,sK0) = sK4 )
| ~ sameside(s(sK3,sK0),sK4,X0) ),
inference(superposition,[status(thm)],[c_11376,c_125]) ).
tcf(c_33125,plain,
! [X0: $i] :
( s_t(X0,sK5,sK2)
| ( sK2 = sK5 )
| ( X0 = sK5 )
| ( s(sK3,sK2) = sK5 )
| ~ sameside(s(sK3,sK2),sK5,X0) ),
inference(superposition,[status(thm)],[c_11408,c_125]) ).
tcf(c_33126,plain,
! [X0: $i] :
( s_t(X0,sK4,midpoint(sK0,sK4))
| ( sK3 = sK4 )
| ( X0 = sK4 )
| ( midpoint(sK0,sK4) = sK4 )
| ~ sameside(sK3,sK4,X0) ),
inference(superposition,[status(thm)],[c_12008,c_125]) ).
tcf(c_33127,plain,
! [X0: $i] :
( s_t(X0,sK5,midpoint(sK2,sK5))
| ( sK3 = sK5 )
| ( X0 = sK5 )
| ( midpoint(sK2,sK5) = sK5 )
| ~ sameside(sK3,sK5,X0) ),
inference(superposition,[status(thm)],[c_12016,c_125]) ).
tcf(c_33128,plain,
! [X0: $i] :
( s_t(X0,sK0,s(sK0,sK3))
| ( sK0 = sK4 )
| ( X0 = sK0 )
| ( s(sK0,sK3) = sK0 )
| ~ sameside(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_12035,c_125]) ).
tcf(c_33129,plain,
! [X0: $i] :
( s_t(X0,sK2,s(sK2,sK3))
| ( sK2 = sK5 )
| ( X0 = sK2 )
| ( s(sK2,sK3) = sK2 )
| ~ sameside(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_12055,c_125]) ).
tcf(c_33130,plain,
! [X0: $i] :
( s_t(X0,midpoint(sK0,sK4),sK0)
| ( midpoint(sK0,sK4) = sK3 )
| ( midpoint(sK0,sK4) = sK0 )
| ( midpoint(sK0,sK4) = X0 )
| ~ sameside(sK3,midpoint(sK0,sK4),X0) ),
inference(superposition,[status(thm)],[c_12865,c_125]) ).
tcf(c_33131,plain,
! [X0: $i] :
( s_t(X0,midpoint(sK2,sK5),sK2)
| ( midpoint(sK2,sK5) = sK3 )
| ( midpoint(sK2,sK5) = sK2 )
| ( midpoint(sK2,sK5) = X0 )
| ~ sameside(sK3,midpoint(sK2,sK5),X0) ),
inference(superposition,[status(thm)],[c_12873,c_125]) ).
tcf(c_33132,plain,
! [X0: $i] :
( s_t(X0,sK4,s(sK0,sK3))
| ( sK3 = sK4 )
| ( X0 = sK4 )
| ( s(sK0,sK3) = sK4 )
| ~ sameside(sK3,sK4,X0) ),
inference(superposition,[status(thm)],[c_12893,c_125]) ).
tcf(c_33133,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,sK3,ext(sK4,sK3,X1,X2))
| ( sK3 = sK4 )
| ( sK0 = sK3 )
| ( X0 = sK3 )
| ( ext(sK4,sK3,X1,X2) = sK3 )
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_17754,c_125]) ).
tcf(c_33134,plain,
! [X0: $i] :
( s_t(X0,sK3,s(sK3,sK4))
| ( sK3 = sK4 )
| ( sK0 = sK3 )
| ( X0 = sK3 )
| ( s(sK3,sK4) = sK3 )
| ~ sameside(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_17759,c_125]) ).
tcf(c_33135,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,sK3,ext(sK5,sK3,X1,X2))
| ( sK3 = sK5 )
| ( sK2 = sK3 )
| ( X0 = sK3 )
| ( ext(sK5,sK3,X1,X2) = sK3 )
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_17800,c_125]) ).
tcf(c_33136,plain,
! [X0: $i] :
( s_t(X0,sK3,s(sK3,sK5))
| ( sK3 = sK5 )
| ( sK2 = sK3 )
| ( X0 = sK3 )
| ( s(sK3,sK5) = sK3 )
| ~ sameside(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_17805,c_125]) ).
tcf(c_33137,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,sK4,ext(sK4,sK3,X1,X2))
| ( sK3 = sK4 )
| ( sK0 = sK4 )
| ( X0 = sK4 )
| ( ext(sK4,sK3,X1,X2) = sK4 )
| ~ sameside(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_19840,c_125]) ).
tcf(c_33138,plain,
! [X0: $i] :
( s_t(X0,sK4,s(sK3,sK4))
| ( sK3 = sK4 )
| ( sK0 = sK4 )
| ( X0 = sK4 )
| ( s(sK3,sK4) = sK4 )
| ~ sameside(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_19845,c_125]) ).
tcf(c_33139,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X0,sK5,ext(sK5,sK3,X1,X2))
| ( sK3 = sK5 )
| ( sK2 = sK5 )
| ( X0 = sK5 )
| ( ext(sK5,sK3,X1,X2) = sK5 )
| ~ sameside(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_19926,c_125]) ).
tcf(c_33140,plain,
! [X0: $i] :
( s_t(X0,sK5,s(sK3,sK5))
| ( sK3 = sK5 )
| ( sK2 = sK5 )
| ( X0 = sK5 )
| ( s(sK3,sK5) = sK5 )
| ~ sameside(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_19931,c_125]) ).
tcf(c_33141,plain,
! [X0: $i] :
( s_t(sK0,sK4,midpoint(sK0,sK3))
| s_t(X0,midpoint(sK0,sK3),sK4)
| ( midpoint(sK0,sK3) = sK4 )
| ( midpoint(sK0,sK3) = sK0 )
| ( midpoint(sK0,sK3) = X0 )
| ~ sameside(sK0,midpoint(sK0,sK3),X0) ),
inference(superposition,[status(thm)],[c_19992,c_125]) ).
tcf(c_33142,plain,
! [X0: $i] :
( s_t(sK2,sK5,midpoint(sK2,sK3))
| s_t(X0,midpoint(sK2,sK3),sK5)
| ( midpoint(sK2,sK3) = sK5 )
| ( midpoint(sK2,sK3) = sK2 )
| ( midpoint(sK2,sK3) = X0 )
| ~ sameside(sK2,midpoint(sK2,sK3),X0) ),
inference(superposition,[status(thm)],[c_20058,c_125]) ).
tcf(c_33143,plain,
! [X0: $i,X1: $i] :
( s_t(X1,ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0),sK5)
| ( ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0) = sK5 )
| ( ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0) = sK2 )
| ( ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0) = X1 )
| ~ s_t(sK1,X0,sK0)
| ~ sameside(sK2,ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X0),X1) ),
inference(superposition,[status(thm)],[c_28934,c_125]) ).
tcf(c_33687,plain,
! [X0: $i] :
( s_t(X0,sK5,s(sK2,sK3))
| ( sK3 = sK5 )
| ( X0 = sK5 )
| ( s(sK2,sK3) = sK5 )
| ~ sameside(sK3,sK5,X0) ),
inference(superposition,[status(thm)],[c_12917,c_125]) ).
tcf(c_33688,plain,
! [X0: $i] :
( s_t(sK3,X0,s(sK2,sK3))
| s_t(X0,sK3,s(sK2,sK3))
| ( s(sK2,sK3) = sK5 )
| ~ s_t(X0,sK5,s(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_12917,c_147]) ).
tcf(c_33689,plain,
! [X0: $i] :
( s_col(X0,sK5,sK3)
| ( sK3 = sK5 )
| ( s(sK2,sK3) = sK5 )
| ~ sameside(X0,sK5,s(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_12917,c_145]) ).
tcf(c_33690,plain,
! [X0: $i] :
( s_t(sK5,X0,s(sK2,sK3))
| s_t(sK5,s(sK2,sK3),X0)
| ( sK3 = sK5 )
| ~ s_t(sK3,sK5,X0) ),
inference(superposition,[status(thm)],[c_12917,c_108]) ).
tcf(c_33691,plain,
! [X0: $i] :
( s_t(sK3,X0,s(sK2,sK3))
| s_t(sK3,s(sK2,sK3),X0)
| ( sK3 = sK5 )
| ~ s_t(sK3,sK5,X0) ),
inference(superposition,[status(thm)],[c_12917,c_107]) ).
tcf(c_33692,plain,
! [X0: $i] :
( ( X0 = sK5 )
| ~ s_r(sK3,X0,sK5)
| ~ s_r(s(sK2,sK3),X0,sK5) ),
inference(superposition,[status(thm)],[c_12917,c_184]) ).
tcf(c_33693,plain,
! [X0: $i] :
( s_t(sK3,sK5,X0)
| s_t(sK3,X0,sK5)
| ~ s_t(sK3,X0,s(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_12917,c_109]) ).
tcf(c_33694,plain,
! [X0: $i] :
( s_t(sK3,sK5,X0)
| ( s(sK2,sK3) = sK5 )
| ~ s_t(sK5,s(sK2,sK3),X0) ),
inference(superposition,[status(thm)],[c_12917,c_81]) ).
tcf(c_33695,plain,
! [X0: $i] :
( s_t(sK3,s(sK2,sK3),X0)
| ( s(sK2,sK3) = sK5 )
| ~ s_t(sK5,s(sK2,sK3),X0) ),
inference(superposition,[status(thm)],[c_12917,c_78]) ).
tcf(c_33696,plain,
( sameside(s(sK2,sK3),sK3,sK5)
| ( sK3 = sK5 )
| ( s(sK2,sK3) = sK3 ) ),
inference(superposition,[status(thm)],[c_12917,c_266]) ).
tcf(c_33697,plain,
( sameside(sK5,sK3,s(sK2,sK3))
| ( sK3 = xb )
| ( sK3 = sK5 ) ),
inference(superposition,[status(thm)],[c_12917,c_265]) ).
tcf(c_33698,plain,
! [X0: $i] :
( s_t(sK3,sK5,X0)
| ~ s_t(sK3,s(sK2,sK3),X0) ),
inference(superposition,[status(thm)],[c_12917,c_80]) ).
tcf(c_33699,plain,
! [X0: $i] :
( s_t(sK3,X0,s(sK2,sK3))
| ~ s_t(sK5,X0,s(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_12917,c_79]) ).
tcf(c_33700,plain,
! [X0: $i] :
( s_t(sK5,s(sK2,sK3),X0)
| ~ s_t(sK3,s(sK2,sK3),X0) ),
inference(superposition,[status(thm)],[c_12917,c_77]) ).
tcf(c_33701,plain,
! [X0: $i] :
( s_t(sK3,sK5,X0)
| ~ s_t(sK5,X0,s(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_12917,c_76]) ).
tcf(c_33702,plain,
( ( sK3 = sK5 )
| ~ s_t(sK5,sK3,s(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_12917,c_75]) ).
tcf(c_33703,plain,
~ sameside(sK3,sK5,s(sK2,sK3)),
inference(superposition,[status(thm)],[c_12917,c_133]) ).
tcf(c_33704,plain,
s_col(sK5,s(sK2,sK3),sK3),
inference(superposition,[status(thm)],[c_12917,c_253]) ).
tcf(c_33705,plain,
s_col(s(sK2,sK3),sK3,sK5),
inference(superposition,[status(thm)],[c_12917,c_252]) ).
tcf(c_33706,plain,
s_col(sK3,sK5,s(sK2,sK3)),
inference(superposition,[status(thm)],[c_12917,c_251]) ).
tcf(c_33707,plain,
s_t(s(sK2,sK3),sK5,sK3),
inference(superposition,[status(thm)],[c_12917,c_73]) ).
tcf(c_33784,plain,
! [X0: $i] :
( s_col(sK3,s(sK3,sK0),X0)
| ( sK3 = sK4 )
| ( s(sK3,sK0) = sK3 )
| ~ s_col(sK3,sK4,X0) ),
inference(superposition,[status(thm)],[c_15258,c_148]) ).
tcf(c_33785,plain,
( ( sK3 = sK4 )
| ( s(sK3,sK0) = sK4 )
| ~ s_r(sK3,sK4,s(sK3,sK0)) ),
inference(superposition,[status(thm)],[c_15258,c_187]) ).
tcf(c_33786,plain,
! [X0: $i] :
( s_r(s(sK3,sK0),sK3,X0)
| ( sK3 = sK4 )
| ~ s_r(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_15258,c_181]) ).
tcf(c_33788,plain,
( sameside(sK3,sK4,s(sK3,sK0))
| s_t(sK3,sK4,s(sK3,sK0)) ),
inference(superposition,[status(thm)],[c_15258,c_134]) ).
tcf(c_33837,plain,
( le(sK5,iPr_def_10,sK1,sK0)
| le(sK2,sK5,sK0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_118,c_30680]) ).
tcf(c_33845,plain,
( le(sK2,sK5,sK2,iPr_def_11)
| le(sK1,iPr_def_11,sK1,sK0) ),
inference(superposition,[status(thm)],[c_118,c_30682]) ).
tcf(c_33847,plain,
( le(sK2,sK5,sK2,iPr_def_11)
| ~ s_t(sK1,sK0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_361,c_30682]) ).
tcf(c_33858,plain,
( le(sK2,sK5,iPr_def_10,sK5)
| le(sK0,iPr_def_10,sK1,sK0) ),
inference(superposition,[status(thm)],[c_118,c_30701]) ).
tcf(c_33866,plain,
( le(sK2,iPr_def_11,sK1,sK0)
| le(sK2,sK5,iPr_def_11,sK1) ),
inference(superposition,[status(thm)],[c_118,c_30702]) ).
tcf(c_33868,plain,
( le(sK2,sK5,iPr_def_11,sK1)
| ~ s_t(sK2,sK5,iPr_def_11) ),
inference(superposition,[status(thm)],[c_13727,c_30702]) ).
tcf(c_33880,plain,
( ( ext(sK2,sK5,ext(ext(sK1,iPr_def_11,alpha,gamma),iPr_def_11,sK2,sK5),sK1) = ins(iPr_def_11,sK1,sK2,sK5) )
| ~ s_t(sK2,sK5,iPr_def_11) ),
inference(superposition,[status(thm)],[c_33868,c_112]) ).
tcf(c_33881,plain,
( s_e(sK2,sK5,iPr_def_11,sK1)
| ~ s_t(sK2,sK5,iPr_def_11)
| ~ le(iPr_def_11,sK1,sK2,sK5) ),
inference(superposition,[status(thm)],[c_33868,c_117]) ).
tcf(c_33882,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X0,X1)
| ~ s_t(sK2,sK5,iPr_def_11)
| ~ le(iPr_def_11,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_33868,c_116]) ).
tcf(c_33904,plain,
! [X0: $i,X1: $i] :
( le(sK2,sK5,X1,midpoint(X1,X0))
| ~ le(sK1,sK0,X0,midpoint(X1,X0)) ),
inference(superposition,[status(thm)],[c_8934,c_29617]) ).
tcf(c_33905,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( le(X1,midpoint(X1,X0),X4,X5)
| ~ s_e(X2,X3,X4,X5)
| ~ le(X0,midpoint(X1,X0),X2,X3) ),
inference(superposition,[status(thm)],[c_8934,c_114]) ).
tcf(c_33906,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_t(X2,ext(ext(midpoint(X2,X0),X2,alpha,gamma),X2,X0,X1),midpoint(X2,X0))
| ~ s_t(X0,X1,midpoint(X2,X0)) ),
inference(superposition,[status(thm)],[c_8934,c_91]) ).
tcf(c_33907,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( ext(X0,X1,X2,midpoint(X2,X1)) = midpoint(X2,X1) )
| ~ s_t(X0,X1,midpoint(X2,X1)) ),
inference(superposition,[status(thm)],[c_8934,c_68]) ).
tcf(c_33910,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X1,midpoint(X0,X1),X0,X2)
| ~ s_t(X0,midpoint(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_8934,c_261]) ).
tcf(c_33911,plain,
! [X0: $i,X1: $i,X2: $i] :
( le(X0,X1,X2,midpoint(X2,X0))
| ~ s_t(X0,X1,midpoint(X2,X0)) ),
inference(superposition,[status(thm)],[c_8934,c_113]) ).
tcf(c_33953,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_33954,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_33955,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_33958,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_33959,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_33960,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_33961,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_33962,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_33963,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_33964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| sameside(X3,erectAux21a(X1,X2,X3),X0)
| ( X1 = X2 )
| ( erectAux21a(X1,X2,X3) = X3 )
| ( erectAux21a(X1,X2,X3) = X0 )
| ( erect21a(X1,X2,X3) = erectAux21a(X1,X2,X3) )
| ~ s_t(X0,erectAux21a(X1,X2,X3),erect21a(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_217,c_131]) ).
tcf(c_33965,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sameside(X3,erectAux(X1,X2,X3),X0)
| ( X1 = X2 )
| ( erectAux(X1,X2,X3) = X3 )
| ( erectAux(X1,X2,X3) = X0 )
| ( erect(X1,X2,X3) = erectAux(X1,X2,X3) )
| ~ s_t(X0,erectAux(X1,X2,X3),erect(X1,X2,X3)) ),
inference(superposition,[status(thm)],[c_220,c_131]) ).
tcf(c_33966,plain,
! [X0: $i] :
( sameside(sK0,sK4,X0)
| ( sK3 = sK4 )
| ( sK0 = sK4 )
| ( X0 = sK4 )
| ~ s_t(X0,sK4,sK3) ),
inference(superposition,[status(thm)],[c_5723,c_131]) ).
tcf(c_33967,plain,
! [X0: $i] :
( sameside(sK2,sK5,X0)
| ( sK3 = sK5 )
| ( sK2 = sK5 )
| ( X0 = sK5 )
| ~ s_t(X0,sK5,sK3) ),
inference(superposition,[status(thm)],[c_5722,c_131]) ).
tcf(c_33968,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_259,c_131]) ).
tcf(c_33969,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X1,midpoint(X1,X2),X0)
| ( midpoint(X1,X2) = X2 )
| ( midpoint(X1,X2) = X1 )
| ( midpoint(X1,X2) = X0 )
| ~ s_t(X0,midpoint(X1,X2),X2) ),
inference(superposition,[status(thm)],[c_1750,c_131]) ).
tcf(c_33970,plain,
! [X0: $i] :
( sameside(sK0,iPr_def_10,X0)
| ( sK5 = iPr_def_10 )
| ( sK0 = iPr_def_10 )
| ( X0 = iPr_def_10 )
| ~ s_t(X0,iPr_def_10,sK5) ),
inference(superposition,[status(thm)],[c_8163,c_131]) ).
tcf(c_33971,plain,
! [X0: $i] :
( sameside(sK2,iPr_def_11,X0)
| ( sK2 = iPr_def_11 )
| ( sK1 = iPr_def_11 )
| ( X0 = iPr_def_11 )
| ~ s_t(X0,iPr_def_11,sK1) ),
inference(superposition,[status(thm)],[c_8165,c_131]) ).
tcf(c_33972,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_8175,c_131]) ).
tcf(c_33973,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_8180,c_131]) ).
tcf(c_33974,plain,
! [X0: $i] :
( sameside(sK3,sK4,X0)
| ( sK3 = sK4 )
| ( sK0 = sK4 )
| ( X0 = sK4 )
| ~ s_t(X0,sK4,sK0) ),
inference(superposition,[status(thm)],[c_8200,c_131]) ).
tcf(c_33975,plain,
! [X0: $i] :
( sameside(sK3,sK5,X0)
| ( sK3 = sK5 )
| ( sK2 = sK5 )
| ( X0 = sK5 )
| ~ s_t(X0,sK5,sK2) ),
inference(superposition,[status(thm)],[c_8201,c_131]) ).
tcf(c_33976,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(X2,midpoint(X1,X2),X0)
| ( midpoint(X1,X2) = X2 )
| ( midpoint(X1,X2) = X1 )
| ( midpoint(X1,X2) = X0 )
| ~ s_t(X0,midpoint(X1,X2),X1) ),
inference(superposition,[status(thm)],[c_8202,c_131]) ).
tcf(c_33977,plain,
! [X0: $i] :
( sameside(sK5,iPr_def_10,X0)
| ( sK5 = iPr_def_10 )
| ( sK0 = iPr_def_10 )
| ( X0 = iPr_def_10 )
| ~ s_t(X0,iPr_def_10,sK0) ),
inference(superposition,[status(thm)],[c_8203,c_131]) ).
tcf(c_33978,plain,
! [X0: $i] :
( sameside(sK1,iPr_def_11,X0)
| ( sK2 = iPr_def_11 )
| ( sK1 = iPr_def_11 )
| ( X0 = iPr_def_11 )
| ~ s_t(X0,iPr_def_11,sK2) ),
inference(superposition,[status(thm)],[c_8204,c_131]) ).
tcf(c_33979,plain,
! [X0: $i] :
( s_t(sK2,sK4,sK1)
| s_t(sK1,sK2,sK4)
| sameside(sK4,sK1,X0)
| ( sK1 = sK4 )
| ( sK1 = sK2 )
| ( X0 = sK1 )
| ~ s_t(X0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_16412,c_131]) ).
tcf(c_33980,plain,
! [X0: $i] :
( s_t(sK2,sK1,sK4)
| s_t(sK1,sK4,sK2)
| sameside(sK4,sK2,X0)
| ( sK2 = sK4 )
| ( sK1 = sK2 )
| ( X0 = sK2 )
| ~ s_t(X0,sK2,sK1) ),
inference(superposition,[status(thm)],[c_16414,c_131]) ).
tcf(c_33981,plain,
! [X0: $i] :
( sameside(sK0,sK4,X0)
| ( sK0 = sK4 )
| ( X0 = sK4 )
| ( midpoint(sK3,sK4) = sK4 )
| ~ s_t(X0,sK4,midpoint(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_10794,c_131]) ).
tcf(c_33982,plain,
! [X0: $i] :
( sameside(sK2,sK5,X0)
| ( sK2 = sK5 )
| ( X0 = sK5 )
| ( midpoint(sK3,sK5) = sK5 )
| ~ s_t(X0,sK5,midpoint(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_10807,c_131]) ).
tcf(c_33983,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(sK4,sK3,X0)
| ( sK3 = sK4 )
| ( X0 = sK3 )
| ( ext(sK0,sK3,X1,X2) = sK3 )
| ~ s_t(X0,sK3,ext(sK0,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10812,c_131]) ).
tcf(c_33984,plain,
! [X0: $i,X1: $i] :
( sameside(sK4,sK3,X0)
| ( sK3 = sK4 )
| ( X0 = sK3 )
| ( c63(sK0,sK3,X1) = sK3 )
| ~ sameside(sK0,sK3,X1)
| ~ s_t(X0,sK3,c63(sK0,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10814,c_131]) ).
tcf(c_33985,plain,
! [X0: $i,X1: $i] :
( sameside(sK4,sK3,X0)
| ( sK3 = sK4 )
| ( X0 = sK3 )
| ( c63(X1,sK3,sK0) = sK3 )
| ~ sameside(X1,sK3,sK0)
| ~ s_t(X0,sK3,c63(X1,sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10815,c_131]) ).
tcf(c_33986,plain,
! [X0: $i] :
( sameside(sK4,sK3,X0)
| ( sK3 = sK4 )
| ( X0 = sK3 )
| ( s(sK3,sK0) = sK3 )
| ~ s_t(X0,sK3,s(sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10816,c_131]) ).
tcf(c_33987,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(sK5,sK3,X0)
| ( sK3 = sK5 )
| ( X0 = sK3 )
| ( ext(sK2,sK3,X1,X2) = sK3 )
| ~ s_t(X0,sK3,ext(sK2,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10836,c_131]) ).
tcf(c_33988,plain,
! [X0: $i,X1: $i] :
( sameside(sK5,sK3,X0)
| ( sK3 = sK5 )
| ( X0 = sK3 )
| ( c63(sK2,sK3,X1) = sK3 )
| ~ sameside(sK2,sK3,X1)
| ~ s_t(X0,sK3,c63(sK2,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10838,c_131]) ).
tcf(c_33989,plain,
! [X0: $i,X1: $i] :
( sameside(sK5,sK3,X0)
| ( sK3 = sK5 )
| ( X0 = sK3 )
| ( c63(X1,sK3,sK2) = sK3 )
| ~ sameside(X1,sK3,sK2)
| ~ s_t(X0,sK3,c63(X1,sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10839,c_131]) ).
tcf(c_33990,plain,
! [X0: $i] :
( sameside(sK5,sK3,X0)
| ( sK3 = sK5 )
| ( X0 = sK3 )
| ( s(sK3,sK2) = sK3 )
| ~ s_t(X0,sK3,s(sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10840,c_131]) ).
tcf(c_33991,plain,
! [X0: $i] :
( sameside(sK0,midpoint(sK3,sK4),X0)
| ( midpoint(sK3,sK4) = sK3 )
| ( midpoint(sK3,sK4) = sK0 )
| ( midpoint(sK3,sK4) = X0 )
| ~ s_t(X0,midpoint(sK3,sK4),sK3) ),
inference(superposition,[status(thm)],[c_10855,c_131]) ).
tcf(c_33992,plain,
! [X0: $i] :
( sameside(sK2,midpoint(sK3,sK5),X0)
| ( midpoint(sK3,sK5) = sK3 )
| ( midpoint(sK3,sK5) = sK2 )
| ( midpoint(sK3,sK5) = X0 )
| ~ s_t(X0,midpoint(sK3,sK5),sK3) ),
inference(superposition,[status(thm)],[c_10867,c_131]) ).
tcf(c_33993,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(sK0,sK4,X0)
| ( sK0 = sK4 )
| ( X0 = sK4 )
| ( ext(sK0,sK3,X1,X2) = sK4 )
| ~ s_t(X0,sK4,ext(sK0,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10872,c_131]) ).
tcf(c_33994,plain,
! [X0: $i,X1: $i] :
( sameside(sK0,sK4,X0)
| ( sK0 = sK4 )
| ( X0 = sK4 )
| ( c63(sK0,sK3,X1) = sK4 )
| ~ sameside(sK0,sK3,X1)
| ~ s_t(X0,sK4,c63(sK0,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10874,c_131]) ).
tcf(c_33995,plain,
! [X0: $i,X1: $i] :
( sameside(sK0,sK4,X0)
| ( sK0 = sK4 )
| ( X0 = sK4 )
| ( c63(X1,sK3,sK0) = sK4 )
| ~ sameside(X1,sK3,sK0)
| ~ s_t(X0,sK4,c63(X1,sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10875,c_131]) ).
tcf(c_33996,plain,
! [X0: $i] :
( sameside(sK0,sK4,X0)
| ( sK0 = sK4 )
| ( X0 = sK4 )
| ( s(sK3,sK0) = sK4 )
| ~ s_t(X0,sK4,s(sK3,sK0)) ),
inference(superposition,[status(thm)],[c_10876,c_131]) ).
tcf(c_33997,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(sK2,sK5,X0)
| ( sK2 = sK5 )
| ( X0 = sK5 )
| ( ext(sK2,sK3,X1,X2) = sK5 )
| ~ s_t(X0,sK5,ext(sK2,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_10893,c_131]) ).
tcf(c_33998,plain,
! [X0: $i,X1: $i] :
( sameside(sK2,sK5,X0)
| ( sK2 = sK5 )
| ( X0 = sK5 )
| ( c63(sK2,sK3,X1) = sK5 )
| ~ sameside(sK2,sK3,X1)
| ~ s_t(X0,sK5,c63(sK2,sK3,X1)) ),
inference(superposition,[status(thm)],[c_10895,c_131]) ).
tcf(c_33999,plain,
! [X0: $i,X1: $i] :
( sameside(sK2,sK5,X0)
| ( sK2 = sK5 )
| ( X0 = sK5 )
| ( c63(X1,sK3,sK2) = sK5 )
| ~ sameside(X1,sK3,sK2)
| ~ s_t(X0,sK5,c63(X1,sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10896,c_131]) ).
tcf(c_34000,plain,
! [X0: $i] :
( sameside(sK2,sK5,X0)
| ( sK2 = sK5 )
| ( X0 = sK5 )
| ( s(sK3,sK2) = sK5 )
| ~ s_t(X0,sK5,s(sK3,sK2)) ),
inference(superposition,[status(thm)],[c_10897,c_131]) ).
tcf(c_34001,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(sK0,sK4,X0)
| ( sK0 = sK4 )
| ( X0 = sK4 )
| ( ins(X1,X2,sK0,sK3) = sK4 )
| ~ le(sK0,sK3,X1,X2)
| ~ s_t(X0,sK4,ins(X1,X2,sK0,sK3)) ),
inference(superposition,[status(thm)],[c_10944,c_131]) ).
tcf(c_34002,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(sK4,sK3,X0)
| ( sK3 = sK4 )
| ( X0 = sK3 )
| ( ins(X1,X2,sK0,sK3) = sK3 )
| ~ le(sK0,sK3,X1,X2)
| ~ s_t(X0,sK3,ins(X1,X2,sK0,sK3)) ),
inference(superposition,[status(thm)],[c_10945,c_131]) ).
tcf(c_34003,plain,
! [X0: $i] :
( sameside(midpoint(sK3,sK4),sK4,X0)
| ( sK0 = sK4 )
| ( X0 = sK4 )
| ( midpoint(sK3,sK4) = sK4 )
| ~ s_t(X0,sK4,sK0) ),
inference(superposition,[status(thm)],[c_11193,c_131]) ).
tcf(c_34004,plain,
! [X0: $i] :
( sameside(midpoint(sK3,sK5),sK5,X0)
| ( sK2 = sK5 )
| ( X0 = sK5 )
| ( midpoint(sK3,sK5) = sK5 )
| ~ s_t(X0,sK5,sK2) ),
inference(superposition,[status(thm)],[c_11222,c_131]) ).
tcf(c_34005,plain,
! [X0: $i] :
( sameside(s(sK3,sK0),sK3,X0)
| ( sK3 = sK4 )
| ( X0 = sK3 )
| ( s(sK3,sK0) = sK3 )
| ~ s_t(X0,sK3,sK4) ),
inference(superposition,[status(thm)],[c_11254,c_131]) ).
tcf(c_34006,plain,
! [X0: $i] :
( sameside(s(sK3,sK2),sK3,X0)
| ( sK3 = sK5 )
| ( X0 = sK3 )
| ( s(sK3,sK2) = sK3 )
| ~ s_t(X0,sK3,sK5) ),
inference(superposition,[status(thm)],[c_11286,c_131]) ).
tcf(c_34007,plain,
! [X0: $i] :
( sameside(sK3,midpoint(sK3,sK4),X0)
| ( midpoint(sK3,sK4) = sK3 )
| ( midpoint(sK3,sK4) = sK0 )
| ( midpoint(sK3,sK4) = X0 )
| ~ s_t(X0,midpoint(sK3,sK4),sK0) ),
inference(superposition,[status(thm)],[c_11315,c_131]) ).
tcf(c_34008,plain,
! [X0: $i] :
( sameside(sK3,midpoint(sK3,sK5),X0)
| ( midpoint(sK3,sK5) = sK3 )
| ( midpoint(sK3,sK5) = sK2 )
| ( midpoint(sK3,sK5) = X0 )
| ~ s_t(X0,midpoint(sK3,sK5),sK2) ),
inference(superposition,[status(thm)],[c_11348,c_131]) ).
tcf(c_34009,plain,
! [X0: $i] :
( sameside(s(sK3,sK0),sK4,X0)
| ( sK0 = sK4 )
| ( X0 = sK4 )
| ( s(sK3,sK0) = sK4 )
| ~ s_t(X0,sK4,sK0) ),
inference(superposition,[status(thm)],[c_11376,c_131]) ).
tcf(c_34010,plain,
! [X0: $i] :
( sameside(s(sK3,sK2),sK5,X0)
| ( sK2 = sK5 )
| ( X0 = sK5 )
| ( s(sK3,sK2) = sK5 )
| ~ s_t(X0,sK5,sK2) ),
inference(superposition,[status(thm)],[c_11408,c_131]) ).
tcf(c_34011,plain,
! [X0: $i] :
( sameside(sK3,sK4,X0)
| ( sK3 = sK4 )
| ( X0 = sK4 )
| ( midpoint(sK0,sK4) = sK4 )
| ~ s_t(X0,sK4,midpoint(sK0,sK4)) ),
inference(superposition,[status(thm)],[c_12008,c_131]) ).
tcf(c_34012,plain,
! [X0: $i] :
( sameside(sK3,sK5,X0)
| ( sK3 = sK5 )
| ( X0 = sK5 )
| ( midpoint(sK2,sK5) = sK5 )
| ~ s_t(X0,sK5,midpoint(sK2,sK5)) ),
inference(superposition,[status(thm)],[c_12016,c_131]) ).
tcf(c_34013,plain,
! [X0: $i] :
( sameside(sK4,sK0,X0)
| ( sK0 = sK4 )
| ( X0 = sK0 )
| ( s(sK0,sK3) = sK0 )
| ~ s_t(X0,sK0,s(sK0,sK3)) ),
inference(superposition,[status(thm)],[c_12035,c_131]) ).
tcf(c_34014,plain,
! [X0: $i] :
( sameside(sK5,sK2,X0)
| ( sK2 = sK5 )
| ( X0 = sK2 )
| ( s(sK2,sK3) = sK2 )
| ~ s_t(X0,sK2,s(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_12055,c_131]) ).
tcf(c_34015,plain,
! [X0: $i] :
( sameside(sK3,midpoint(sK0,sK4),X0)
| ( midpoint(sK0,sK4) = sK3 )
| ( midpoint(sK0,sK4) = sK0 )
| ( midpoint(sK0,sK4) = X0 )
| ~ s_t(X0,midpoint(sK0,sK4),sK0) ),
inference(superposition,[status(thm)],[c_12865,c_131]) ).
tcf(c_34016,plain,
! [X0: $i] :
( sameside(sK3,midpoint(sK2,sK5),X0)
| ( midpoint(sK2,sK5) = sK3 )
| ( midpoint(sK2,sK5) = sK2 )
| ( midpoint(sK2,sK5) = X0 )
| ~ s_t(X0,midpoint(sK2,sK5),sK2) ),
inference(superposition,[status(thm)],[c_12873,c_131]) ).
tcf(c_34017,plain,
! [X0: $i] :
( sameside(sK3,sK4,X0)
| ( sK3 = sK4 )
| ( X0 = sK4 )
| ( s(sK0,sK3) = sK4 )
| ~ s_t(X0,sK4,s(sK0,sK3)) ),
inference(superposition,[status(thm)],[c_12893,c_131]) ).
tcf(c_34018,plain,
! [X0: $i] :
( sameside(sK3,sK5,X0)
| ( sK3 = sK5 )
| ( X0 = sK5 )
| ( s(sK2,sK3) = sK5 )
| ~ s_t(X0,sK5,s(sK2,sK3)) ),
inference(superposition,[status(thm)],[c_12917,c_131]) ).
tcf(c_34019,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(sK0,sK3,X0)
| ( sK3 = sK4 )
| ( sK0 = sK3 )
| ( X0 = sK3 )
| ( ext(sK4,sK3,X1,X2) = sK3 )
| ~ s_t(X0,sK3,ext(sK4,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_17754,c_131]) ).
tcf(c_34020,plain,
! [X0: $i] :
( sameside(sK0,sK3,X0)
| ( sK3 = sK4 )
| ( sK0 = sK3 )
| ( X0 = sK3 )
| ( s(sK3,sK4) = sK3 )
| ~ s_t(X0,sK3,s(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_17759,c_131]) ).
tcf(c_34021,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(sK2,sK3,X0)
| ( sK3 = sK5 )
| ( sK2 = sK3 )
| ( X0 = sK3 )
| ( ext(sK5,sK3,X1,X2) = sK3 )
| ~ s_t(X0,sK3,ext(sK5,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_17800,c_131]) ).
tcf(c_34022,plain,
! [X0: $i] :
( sameside(sK2,sK3,X0)
| ( sK3 = sK5 )
| ( sK2 = sK3 )
| ( X0 = sK3 )
| ( s(sK3,sK5) = sK3 )
| ~ s_t(X0,sK3,s(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_17805,c_131]) ).
tcf(c_34023,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(sK0,sK4,X0)
| ( sK3 = sK4 )
| ( sK0 = sK4 )
| ( X0 = sK4 )
| ( ext(sK4,sK3,X1,X2) = sK4 )
| ~ s_t(X0,sK4,ext(sK4,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_19840,c_131]) ).
tcf(c_34024,plain,
! [X0: $i] :
( sameside(sK0,sK4,X0)
| ( sK3 = sK4 )
| ( sK0 = sK4 )
| ( X0 = sK4 )
| ( s(sK3,sK4) = sK4 )
| ~ s_t(X0,sK4,s(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_19845,c_131]) ).
tcf(c_34025,plain,
! [X0: $i,X1: $i,X2: $i] :
( sameside(sK2,sK5,X0)
| ( sK3 = sK5 )
| ( sK2 = sK5 )
| ( X0 = sK5 )
| ( ext(sK5,sK3,X1,X2) = sK5 )
| ~ s_t(X0,sK5,ext(sK5,sK3,X1,X2)) ),
inference(superposition,[status(thm)],[c_19926,c_131]) ).
tcf(c_34026,plain,
! [X0: $i] :
( sameside(sK2,sK5,X0)
| ( sK3 = sK5 )
| ( sK2 = sK5 )
| ( X0 = sK5 )
| ( s(sK3,sK5) = sK5 )
| ~ s_t(X0,sK5,s(sK3,sK5)) ),
inference(superposition,[status(thm)],[c_19931,c_131]) ).
tcf(c_34027,plain,
! [X0: $i] :
( s_t(sK0,sK4,midpoint(sK0,sK3))
| sameside(sK0,midpoint(sK0,sK3),X0)
| ( midpoint(sK0,sK3) = sK4 )
| ( midpoint(sK0,sK3) = sK0 )
| ( midpoint(sK0,sK3) = X0 )
| ~ s_t(X0,midpoint(sK0,sK3),sK4) ),
inference(superposition,[status(thm)],[c_19992,c_131]) ).
tcf(c_34028,plain,
! [X0: $i] :
( s_t(sK2,sK5,midpoint(sK2,sK3))
| sameside(sK2,midpoint(sK2,sK3),X0)
| ( midpoint(sK2,sK3) = sK5 )
| ( midpoint(sK2,sK3) = sK2 )
| ( midpoint(sK2,sK3) = X0 )
| ~ s_t(X0,midpoint(sK2,sK3),sK5) ),
inference(superposition,[status(thm)],[c_20058,c_131]) ).
tcf(c_34029,plain,
! [X0: $i,X1: $i] :
( sameside(sK2,ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X1),X0)
| ( ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X1) = sK5 )
| ( ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X1) = sK2 )
| ( ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X1) = X0 )
| ~ s_t(sK1,X1,sK0)
| ~ s_t(X0,ext(ext(sK5,sK2,alpha,gamma),sK2,sK1,X1),sK5) ),
inference(superposition,[status(thm)],[c_28934,c_131]) ).
tcf(c_34781,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_34782,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_34783,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_34785,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_34786,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_34787,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_34788,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,X0,sK2,X1)
| ~ s_t(sK2,sK5,X1)
| ~ s_t(sK1,sK0,X0)
| ~ s_e(sK0,X0,sK5,X1) ),
inference(superposition,[status(thm)],[c_5721,c_67]) ).
tcf(c_34789,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_277,c_67]) ).
tcf(c_34790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(midpoint(X0,X1),X2,midpoint(X0,X1),X3)
| ~ s_e(X0,X2,X1,X3)
| ~ s_t(midpoint(X0,X1),X1,X3)
| ~ s_t(midpoint(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_1804,c_67]) ).
tcf(c_34791,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_10,X0,iPr_def_10,X1)
| ~ s_t(iPr_def_10,sK5,X1)
| ~ s_t(iPr_def_10,sK0,X0)
| ~ s_e(sK0,X0,sK5,X1) ),
inference(superposition,[status(thm)],[c_8164,c_67]) ).
tcf(c_34792,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_11,X0,iPr_def_11,X1)
| ~ s_t(iPr_def_11,sK2,X0)
| ~ s_t(iPr_def_11,sK1,X1)
| ~ s_e(sK2,X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_8166,c_67]) ).
tcf(c_34793,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_8176,c_67]) ).
tcf(c_34794,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_8183,c_67]) ).
tcf(c_34795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(midpoint(X0,X1),X2,midpoint(X0,X1),X3)
| ~ s_e(X1,X2,X0,X3)
| ~ s_t(midpoint(X0,X1),X1,X2)
| ~ s_t(midpoint(X0,X1),X0,X3) ),
inference(superposition,[status(thm)],[c_8226,c_67]) ).
tcf(c_34796,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_10,X0,iPr_def_10,X1)
| ~ s_t(iPr_def_10,sK5,X0)
| ~ s_t(iPr_def_10,sK0,X1)
| ~ s_e(sK5,X0,sK0,X1) ),
inference(superposition,[status(thm)],[c_8232,c_67]) ).
tcf(c_34797,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_11,X0,iPr_def_11,X1)
| ~ s_t(iPr_def_11,sK2,X1)
| ~ s_t(iPr_def_11,sK1,X0)
| ~ s_e(sK1,X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_8238,c_67]) ).
tcf(c_34798,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_8406,c_67]) ).
tcf(c_34799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X1,X3,X4)
| ~ s_t(X2,X0,X1)
| ~ s_t(X3,s(midpoint(X2,X3),X0),X4)
| ~ s_e(X0,X1,s(midpoint(X2,X3),X0),X4) ),
inference(superposition,[status(thm)],[c_8408,c_67]) ).
tcf(c_34800,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK0,X1,sK5,X2)
| ~ s_t(sK0,X0,X1)
| ~ s_t(sK5,s(iPr_def_10,X0),X2)
| ~ s_e(X0,X1,s(iPr_def_10,X0),X2) ),
inference(superposition,[status(thm)],[c_8409,c_67]) ).
tcf(c_34801,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X1,sK1,X2)
| ~ s_t(sK2,X0,X1)
| ~ s_t(sK1,s(iPr_def_11,X0),X2)
| ~ s_e(X0,X1,s(iPr_def_11,X0),X2) ),
inference(superposition,[status(thm)],[c_8410,c_67]) ).
tcf(c_34802,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,X1,sK0,X2)
| ~ s_t(sK5,X0,X1)
| ~ s_t(sK0,s(iPr_def_10,X0),X2)
| ~ s_e(X0,X1,s(iPr_def_10,X0),X2) ),
inference(superposition,[status(thm)],[c_8411,c_67]) ).
tcf(c_34803,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK1,X1,sK2,X2)
| ~ s_t(sK1,X0,X1)
| ~ s_t(sK2,s(iPr_def_11,X0),X2)
| ~ s_e(X0,X1,s(iPr_def_11,X0),X2) ),
inference(superposition,[status(thm)],[c_8412,c_67]) ).
tcf(c_34804,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_8413,c_67]) ).
tcf(c_34805,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_8414,c_67]) ).
tcf(c_34806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X4,s(midpoint(X0,X1),X2),X3)
| ~ s_t(X2,X0,X4)
| ~ s_e(X0,X4,X1,X3)
| ~ s_t(s(midpoint(X0,X1),X2),X1,X3) ),
inference(superposition,[status(thm)],[c_8415,c_67]) ).
tcf(c_34807,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,s(iPr_def_10,X0),X1)
| ~ s_t(X0,sK0,X2)
| ~ s_e(sK0,X2,sK5,X1)
| ~ s_t(s(iPr_def_10,X0),sK5,X1) ),
inference(superposition,[status(thm)],[c_8416,c_67]) ).
tcf(c_34808,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,s(iPr_def_11,X0),X1)
| ~ s_t(X0,sK2,X2)
| ~ s_e(sK2,X2,sK1,X1)
| ~ s_t(s(iPr_def_11,X0),sK1,X1) ),
inference(superposition,[status(thm)],[c_8417,c_67]) ).
tcf(c_34809,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,s(iPr_def_10,X0),X1)
| ~ s_t(X0,sK5,X2)
| ~ s_e(sK5,X2,sK0,X1)
| ~ s_t(s(iPr_def_10,X0),sK0,X1) ),
inference(superposition,[status(thm)],[c_8418,c_67]) ).
tcf(c_34810,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,s(iPr_def_11,X0),X1)
| ~ s_t(X0,sK1,X2)
| ~ s_e(sK1,X2,sK2,X1)
| ~ s_t(s(iPr_def_11,X0),sK2,X1) ),
inference(superposition,[status(thm)],[c_8419,c_67]) ).
tcf(c_34811,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK0,X1,sK5,X2)
| ~ s_t(sK5,X0,X2)
| ~ s_t(sK0,s(iPr_def_10,X0),X1)
| ~ s_e(s(iPr_def_10,X0),X1,X0,X2) ),
inference(superposition,[status(thm)],[c_8433,c_67]) ).
tcf(c_34812,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,X0,sK5,X1)
| ~ s_t(sK5,iPr_def_10,X1)
| ~ s_t(sK0,iPr_def_10,X0)
| ~ s_e(iPr_def_10,X0,iPr_def_10,X1) ),
inference(superposition,[status(thm)],[c_8434,c_67]) ).
tcf(c_34813,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X1,sK1,X2)
| ~ s_t(sK1,X0,X2)
| ~ s_t(sK2,s(iPr_def_11,X0),X1)
| ~ s_e(s(iPr_def_11,X0),X1,X0,X2) ),
inference(superposition,[status(thm)],[c_8438,c_67]) ).
tcf(c_34814,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,sK1,X1)
| ~ s_t(sK2,iPr_def_11,X0)
| ~ s_t(sK1,iPr_def_11,X1)
| ~ s_e(iPr_def_11,X0,iPr_def_11,X1) ),
inference(superposition,[status(thm)],[c_8439,c_67]) ).
tcf(c_34815,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,X1,sK0,X2)
| ~ s_t(sK0,X0,X2)
| ~ s_t(sK5,s(iPr_def_10,X0),X1)
| ~ s_e(s(iPr_def_10,X0),X1,X0,X2) ),
inference(superposition,[status(thm)],[c_8443,c_67]) ).
tcf(c_34816,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X0,sK0,X1)
| ~ s_t(sK5,iPr_def_10,X0)
| ~ s_t(sK0,iPr_def_10,X1)
| ~ s_e(iPr_def_10,X0,iPr_def_10,X1) ),
inference(superposition,[status(thm)],[c_8444,c_67]) ).
tcf(c_34817,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK1,X1,sK2,X2)
| ~ s_t(sK2,X0,X2)
| ~ s_t(sK1,s(iPr_def_11,X0),X1)
| ~ s_e(s(iPr_def_11,X0),X1,X0,X2) ),
inference(superposition,[status(thm)],[c_8448,c_67]) ).
tcf(c_34818,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,X0,sK2,X1)
| ~ s_t(sK2,iPr_def_11,X1)
| ~ s_t(sK1,iPr_def_11,X0)
| ~ s_e(iPr_def_11,X0,iPr_def_11,X1) ),
inference(superposition,[status(thm)],[c_8449,c_67]) ).
tcf(c_34819,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_8453,c_67]) ).
tcf(c_34820,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X2,X1,X3)
| ~ s_t(X1,midpoint(X0,X1),X3)
| ~ s_t(X0,midpoint(X0,X1),X2)
| ~ s_e(midpoint(X0,X1),X2,midpoint(X0,X1),X3) ),
inference(superposition,[status(thm)],[c_8455,c_67]) ).
tcf(c_34821,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_10,X0),X1,X0,X2)
| ~ s_t(X0,sK5,X2)
| ~ s_e(sK0,X1,sK5,X2)
| ~ s_t(s(iPr_def_10,X0),sK0,X1) ),
inference(superposition,[status(thm)],[c_8462,c_67]) ).
tcf(c_34822,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_11,X0),X1,X0,X2)
| ~ s_t(X0,sK1,X2)
| ~ s_e(sK2,X1,sK1,X2)
| ~ s_t(s(iPr_def_11,X0),sK2,X1) ),
inference(superposition,[status(thm)],[c_8467,c_67]) ).
tcf(c_34823,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_10,X0),X1,X0,X2)
| ~ s_t(X0,sK0,X2)
| ~ s_e(sK5,X1,sK0,X2)
| ~ s_t(s(iPr_def_10,X0),sK5,X1) ),
inference(superposition,[status(thm)],[c_8472,c_67]) ).
tcf(c_34824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X2,X4)
| ~ s_t(X3,X0,X1)
| ~ s_t(X2,s(midpoint(X2,X3),X0),X4)
| ~ s_e(X0,X1,s(midpoint(X2,X3),X0),X4) ),
inference(superposition,[status(thm)],[c_8479,c_67]) ).
tcf(c_34825,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_8484,c_67]) ).
tcf(c_34826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(midpoint(X0,X1),X2),X3,X2,X4)
| ~ s_t(X2,X1,X4)
| ~ s_e(X0,X3,X1,X4)
| ~ s_t(s(midpoint(X0,X1),X2),X0,X3) ),
inference(superposition,[status(thm)],[c_8486,c_67]) ).
tcf(c_34827,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_11,X0),X1,X0,X2)
| ~ s_t(X0,sK2,X2)
| ~ s_e(sK1,X1,sK2,X2)
| ~ s_t(s(iPr_def_11,X0),sK1,X1) ),
inference(superposition,[status(thm)],[c_8490,c_67]) ).
tcf(c_34828,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,s(midpoint(X0,X1),X2),X3)
| ~ s_e(s(midpoint(X0,X1),X2),X3,X2,X4) ),
inference(superposition,[status(thm)],[c_8606,c_67]) ).
tcf(c_34829,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X4,s(midpoint(X0,X1),X2),X3)
| ~ s_t(X2,X1,X4)
| ~ s_e(X1,X4,X0,X3)
| ~ s_t(s(midpoint(X0,X1),X2),X0,X3) ),
inference(superposition,[status(thm)],[c_8726,c_67]) ).
tcf(c_34830,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_8752,c_67]) ).
tcf(c_34831,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,sK1,X1)
| ~ s_t(sK2,sK5,X0)
| ~ s_t(sK1,sK0,X1)
| ~ s_e(sK5,X0,sK0,X1) ),
inference(superposition,[status(thm)],[c_8756,c_67]) ).
tcf(c_34832,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X3,X0,X4)
| ~ s_t(X0,X2,X4)
| ~ s_t(X1,s(midpoint(X0,X1),X2),X3)
| ~ s_e(s(midpoint(X0,X1),X2),X3,X2,X4) ),
inference(superposition,[status(thm)],[c_8766,c_67]) ).
tcf(c_34833,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_8786,c_67]) ).
tcf(c_34834,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_8789,c_67]) ).
tcf(c_34835,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,X0,sK2,X1)
| ~ s_t(sK2,sK5,X1)
| ~ s_t(sK0,sK1,X0)
| ~ s_e(sK1,X0,sK5,X1) ),
inference(superposition,[status(thm)],[c_8790,c_67]) ).
tcf(c_34836,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X2,midpoint(X0,X1),X3)
| ~ s_t(X0,midpoint(X0,X1),X2)
| ~ s_t(midpoint(X0,X1),X1,X3)
| ~ s_e(midpoint(X0,X1),X2,X1,X3) ),
inference(superposition,[status(thm)],[c_8791,c_67]) ).
tcf(c_34837,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,X0,iPr_def_10,X1)
| ~ s_t(iPr_def_10,sK5,X1)
| ~ s_t(sK0,iPr_def_10,X0)
| ~ s_e(iPr_def_10,X0,sK5,X1) ),
inference(superposition,[status(thm)],[c_8792,c_67]) ).
tcf(c_34838,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,iPr_def_11,X1)
| ~ s_t(iPr_def_11,sK1,X1)
| ~ s_t(sK2,iPr_def_11,X0)
| ~ s_e(iPr_def_11,X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_8793,c_67]) ).
tcf(c_34839,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_8794,c_67]) ).
tcf(c_34840,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_8795,c_67]) ).
tcf(c_34841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X2,midpoint(X0,X1),X3)
| ~ s_t(X1,midpoint(X0,X1),X2)
| ~ s_t(midpoint(X0,X1),X0,X3)
| ~ s_e(midpoint(X0,X1),X2,X0,X3) ),
inference(superposition,[status(thm)],[c_8796,c_67]) ).
tcf(c_34842,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X0,iPr_def_10,X1)
| ~ s_t(iPr_def_10,sK0,X1)
| ~ s_t(sK5,iPr_def_10,X0)
| ~ s_e(iPr_def_10,X0,sK0,X1) ),
inference(superposition,[status(thm)],[c_8797,c_67]) ).
tcf(c_34843,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,X0,iPr_def_11,X1)
| ~ s_t(iPr_def_11,sK2,X1)
| ~ s_t(sK1,iPr_def_11,X0)
| ~ s_e(iPr_def_11,X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_8798,c_67]) ).
tcf(c_34844,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_8799,c_67]) ).
tcf(c_34845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X2,X4)
| ~ s_t(X3,X0,X1)
| ~ s_t(X2,s(midpoint(X0,X2),X3),X4)
| ~ s_e(X0,X1,s(midpoint(X0,X2),X3),X4) ),
inference(superposition,[status(thm)],[c_8800,c_67]) ).
tcf(c_34846,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X0,sK5,X2)
| ~ s_t(X1,sK0,X0)
| ~ s_t(sK5,s(iPr_def_10,X1),X2)
| ~ s_e(sK0,X0,s(iPr_def_10,X1),X2) ),
inference(superposition,[status(thm)],[c_8801,c_67]) ).
tcf(c_34847,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X0,sK1,X2)
| ~ s_t(X1,sK2,X0)
| ~ s_t(sK1,s(iPr_def_11,X1),X2)
| ~ s_e(sK2,X0,s(iPr_def_11,X1),X2) ),
inference(superposition,[status(thm)],[c_8802,c_67]) ).
tcf(c_34848,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X0,sK0,X2)
| ~ s_t(X1,sK5,X0)
| ~ s_t(sK0,s(iPr_def_10,X1),X2)
| ~ s_e(sK5,X0,s(iPr_def_10,X1),X2) ),
inference(superposition,[status(thm)],[c_8803,c_67]) ).
tcf(c_34849,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X0,sK2,X2)
| ~ s_t(X1,sK1,X0)
| ~ s_t(sK2,s(iPr_def_11,X1),X2)
| ~ s_e(sK1,X0,s(iPr_def_11,X1),X2) ),
inference(superposition,[status(thm)],[c_8804,c_67]) ).
tcf(c_34850,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_8805,c_67]) ).
tcf(c_34851,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_8806,c_67]) ).
tcf(c_34852,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK0,X2,s(iPr_def_10,X0),X1)
| ~ s_t(sK0,X0,X2)
| ~ s_e(X0,X2,sK5,X1)
| ~ s_t(s(iPr_def_10,X0),sK5,X1) ),
inference(superposition,[status(thm)],[c_8807,c_67]) ).
tcf(c_34853,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X2,s(iPr_def_11,X0),X1)
| ~ s_t(sK2,X0,X2)
| ~ s_e(X0,X2,sK1,X1)
| ~ s_t(s(iPr_def_11,X0),sK1,X1) ),
inference(superposition,[status(thm)],[c_8808,c_67]) ).
tcf(c_34854,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,X2,s(iPr_def_10,X0),X1)
| ~ s_t(sK5,X0,X2)
| ~ s_e(X0,X2,sK0,X1)
| ~ s_t(s(iPr_def_10,X0),sK0,X1) ),
inference(superposition,[status(thm)],[c_8809,c_67]) ).
tcf(c_34855,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_10,X0,sK5,X1)
| ~ s_t(iPr_def_10,sK0,X0)
| ~ s_t(sK5,iPr_def_10,X1)
| ~ s_e(sK0,X0,iPr_def_10,X1) ),
inference(superposition,[status(thm)],[c_8810,c_67]) ).
tcf(c_34856,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_11,X0,sK1,X1)
| ~ s_t(iPr_def_11,sK2,X0)
| ~ s_t(sK1,iPr_def_11,X1)
| ~ s_e(sK2,X0,iPr_def_11,X1) ),
inference(superposition,[status(thm)],[c_8811,c_67]) ).
tcf(c_34857,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_10,X0,sK0,X1)
| ~ s_t(iPr_def_10,sK5,X0)
| ~ s_t(sK0,iPr_def_10,X1)
| ~ s_e(sK5,X0,iPr_def_10,X1) ),
inference(superposition,[status(thm)],[c_8812,c_67]) ).
tcf(c_34858,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_11,X0,sK2,X1)
| ~ s_t(iPr_def_11,sK1,X0)
| ~ s_t(sK2,iPr_def_11,X1)
| ~ s_e(sK1,X0,iPr_def_11,X1) ),
inference(superposition,[status(thm)],[c_8813,c_67]) ).
tcf(c_34859,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X0,sK1,X1)
| ~ s_t(sK5,sK2,X0)
| ~ s_t(sK1,sK0,X1)
| ~ s_e(sK2,X0,sK0,X1) ),
inference(superposition,[status(thm)],[c_8845,c_67]) ).
tcf(c_34860,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,sK0,X1)
| ~ s_t(sK2,sK5,X0)
| ~ s_t(sK0,sK1,X1)
| ~ s_e(sK5,X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_8848,c_67]) ).
tcf(c_34861,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,X0,sK5,X1)
| ~ s_t(sK5,sK2,X1)
| ~ s_t(sK1,sK0,X0)
| ~ s_e(sK0,X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_8850,c_67]) ).
tcf(c_34862,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X0,sK0,X1)
| ~ s_t(sK5,sK2,X0)
| ~ s_t(sK0,sK1,X1)
| ~ s_e(sK2,X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_8851,c_67]) ).
tcf(c_34863,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,X0,sK5,X1)
| ~ s_t(sK5,sK2,X1)
| ~ s_t(sK0,sK1,X0)
| ~ s_e(sK1,X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_8853,c_67]) ).
tcf(c_34864,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X4,s(midpoint(X0,X1),X2),X3)
| ~ s_t(X0,X2,X4)
| ~ s_e(X2,X4,X1,X3)
| ~ s_t(s(midpoint(X0,X1),X2),X1,X3) ),
inference(superposition,[status(thm)],[c_8873,c_67]) ).
tcf(c_34865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(midpoint(X0,X1),X2),X3,X2,X4)
| ~ s_t(X2,X0,X4)
| ~ s_e(X1,X3,X0,X4)
| ~ s_t(s(midpoint(X0,X1),X2),X1,X3) ),
inference(superposition,[status(thm)],[c_8874,c_67]) ).
tcf(c_34866,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_8880,c_67]) ).
tcf(c_34867,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(midpoint(X0,X2),X1,X2,X3)
| ~ s_t(X2,midpoint(X0,X2),X3)
| ~ s_t(midpoint(X0,X2),X0,X1)
| ~ s_e(X0,X1,midpoint(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_8885,c_67]) ).
tcf(c_34868,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_8889,c_67]) ).
tcf(c_34869,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(midpoint(X2,X0),X1,X2,X3)
| ~ s_t(X2,midpoint(X2,X0),X3)
| ~ s_t(midpoint(X2,X0),X0,X1)
| ~ s_e(X0,X1,midpoint(X2,X0),X3) ),
inference(superposition,[status(thm)],[c_8890,c_67]) ).
tcf(c_34870,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK1,X2,s(iPr_def_11,X0),X1)
| ~ s_t(sK1,X0,X2)
| ~ s_e(X0,X2,sK2,X1)
| ~ s_t(s(iPr_def_11,X0),sK2,X1) ),
inference(superposition,[status(thm)],[c_8898,c_67]) ).
tcf(c_34871,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_8924,c_67]) ).
tcf(c_34872,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X2,X0,X3)
| ~ s_t(X1,midpoint(X0,X1),X2)
| ~ s_t(X0,midpoint(X0,X1),X3)
| ~ s_e(midpoint(X0,X1),X2,midpoint(X0,X1),X3) ),
inference(superposition,[status(thm)],[c_8934,c_67]) ).
tcf(c_34873,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK0,X1,X0,X2)
| ~ s_t(X0,sK5,X2)
| ~ s_t(sK0,s(iPr_def_10,X0),X1)
| ~ s_e(s(iPr_def_10,X0),X1,sK5,X2) ),
inference(superposition,[status(thm)],[c_9156,c_67]) ).
tcf(c_34874,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_10,X0),X1,sK5,X2)
| ~ s_t(sK5,X0,X2)
| ~ s_e(sK0,X1,X0,X2)
| ~ s_t(s(iPr_def_10,X0),sK0,X1) ),
inference(superposition,[status(thm)],[c_9157,c_67]) ).
tcf(c_34875,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X1,X0,X2)
| ~ s_t(X0,sK1,X2)
| ~ s_t(sK2,s(iPr_def_11,X0),X1)
| ~ s_e(s(iPr_def_11,X0),X1,sK1,X2) ),
inference(superposition,[status(thm)],[c_9346,c_67]) ).
tcf(c_34876,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X2,s(X0,sK1),X1)
| ~ s_t(sK2,sK5,X2)
| ~ s_e(sK5,X2,s(X0,sK0),X1)
| ~ s_t(s(X0,sK1),s(X0,sK0),X1) ),
inference(superposition,[status(thm)],[c_14740,c_67]) ).
tcf(c_34877,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X0,sK1,X2)
| ~ s_r(sK1,X1,sK0)
| ~ s_t(sK2,sK5,X0)
| ~ s_t(sK1,s(X1,sK0),X2)
| ~ s_e(sK5,X0,s(X1,sK0),X2) ),
inference(superposition,[status(thm)],[c_14742,c_67]) ).
tcf(c_34878,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,sK1,X1)
| ~ s_t(sK2,sK5,X0)
| ~ s_t(sK1,s(sK1,sK0),X1)
| ~ s_e(sK5,X0,s(sK1,sK0),X1) ),
inference(superposition,[status(thm)],[c_14743,c_67]) ).
tcf(c_34879,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X0,X1,X2)
| ~ s_t(sK2,sK5,X0)
| ~ s_t(X1,s(midpoint(sK1,X1),sK0),X2)
| ~ s_e(sK5,X0,s(midpoint(sK1,X1),sK0),X2) ),
inference(superposition,[status(thm)],[c_14744,c_67]) ).
tcf(c_34880,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,sK2,X1)
| ~ s_t(sK2,sK5,X0)
| ~ s_t(sK2,s(iPr_def_11,sK0),X1)
| ~ s_e(sK5,X0,s(iPr_def_11,sK0),X1) ),
inference(superposition,[status(thm)],[c_14745,c_67]) ).
tcf(c_34881,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X1,s(sK0,sK1),X0)
| ~ s_t(sK2,sK5,X1)
| ~ s_e(sK5,X1,sK0,X0)
| ~ s_t(s(sK0,sK1),sK0,X0) ),
inference(superposition,[status(thm)],[c_14746,c_67]) ).
tcf(c_34882,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X2,s(midpoint(sK0,X0),sK1),X1)
| ~ s_t(sK2,sK5,X2)
| ~ s_e(sK5,X2,X0,X1)
| ~ s_t(s(midpoint(sK0,X0),sK1),X0,X1) ),
inference(superposition,[status(thm)],[c_14747,c_67]) ).
tcf(c_34883,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X1,s(iPr_def_10,sK1),X0)
| ~ s_t(sK2,sK5,X1)
| ~ s_e(sK5,X1,sK5,X0)
| ~ s_t(s(iPr_def_10,sK1),sK5,X0) ),
inference(superposition,[status(thm)],[c_14748,c_67]) ).
tcf(c_34884,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X0,X1,X2)
| ~ s_t(sK2,sK5,X0)
| ~ s_t(X1,s(midpoint(X1,sK1),sK0),X2)
| ~ s_e(sK5,X0,s(midpoint(X1,sK1),sK0),X2) ),
inference(superposition,[status(thm)],[c_14749,c_67]) ).
tcf(c_34885,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X2,s(midpoint(X0,sK0),sK1),X1)
| ~ s_t(sK2,sK5,X2)
| ~ s_e(sK5,X2,X0,X1)
| ~ s_t(s(midpoint(X0,sK0),sK1),X0,X1) ),
inference(superposition,[status(thm)],[c_14750,c_67]) ).
tcf(c_34886,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(sK2,X0,X2,X3)
| ~ s_t(sK2,sK5,X0)
| ~ s_t(X2,ext(X1,X2,sK1,sK0),X3)
| ~ s_e(sK5,X0,ext(X1,X2,sK1,sK0),X3) ),
inference(superposition,[status(thm)],[c_14751,c_67]) ).
tcf(c_34887,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,sK0,X1)
| ~ s_t(sK2,sK5,X0)
| ~ s_t(sK0,s(sK0,sK1),X1)
| ~ s_e(sK5,X0,s(sK0,sK1),X1) ),
inference(superposition,[status(thm)],[c_14752,c_67]) ).
tcf(c_34888,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,sK5,X1)
| ~ s_t(sK2,sK5,X0)
| ~ s_t(sK5,s(iPr_def_10,sK1),X1)
| ~ s_e(sK5,X0,s(iPr_def_10,sK1),X1) ),
inference(superposition,[status(thm)],[c_14753,c_67]) ).
tcf(c_34889,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X1,s(sK1,sK0),X0)
| ~ s_t(sK2,sK5,X1)
| ~ s_e(sK5,X1,sK1,X0)
| ~ s_t(s(sK1,sK0),sK1,X0) ),
inference(superposition,[status(thm)],[c_14754,c_67]) ).
tcf(c_34890,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X1,s(iPr_def_11,sK0),X0)
| ~ s_t(sK2,sK5,X1)
| ~ s_e(sK5,X1,sK2,X0)
| ~ s_t(s(iPr_def_11,sK0),sK2,X0) ),
inference(superposition,[status(thm)],[c_14756,c_67]) ).
tcf(c_34891,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X2,s(X0,sK0),X1)
| ~ s_t(sK2,sK5,X2)
| ~ s_e(sK5,X2,s(X0,sK1),X1)
| ~ s_t(s(X0,sK0),s(X0,sK1),X1) ),
inference(superposition,[status(thm)],[c_15120,c_67]) ).
tcf(c_35644,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_35645,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_35646,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_35648,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_35649,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_35650,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_35651,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,X0,X1,sK5)
| ~ s_t(sK1,sK0,X0)
| ~ s_t(X1,sK2,sK5)
| ~ s_e(sK0,X0,X1,sK2) ),
inference(superposition,[status(thm)],[c_5721,c_71]) ).
tcf(c_35652,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_277,c_71]) ).
tcf(c_35653,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(midpoint(X0,X3),X1,X2,X3)
| ~ s_t(X2,midpoint(X0,X3),X3)
| ~ s_t(midpoint(X0,X3),X0,X1)
| ~ s_e(X0,X1,X2,midpoint(X0,X3)) ),
inference(superposition,[status(thm)],[c_1804,c_71]) ).
tcf(c_35654,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_10,X0,X1,sK5)
| ~ s_t(iPr_def_10,sK0,X0)
| ~ s_t(X1,iPr_def_10,sK5)
| ~ s_e(sK0,X0,X1,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8164,c_71]) ).
tcf(c_35655,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_11,X0,X1,sK1)
| ~ s_t(iPr_def_11,sK2,X0)
| ~ s_t(X1,iPr_def_11,sK1)
| ~ s_e(sK2,X0,X1,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8166,c_71]) ).
tcf(c_35656,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_8176,c_71]) ).
tcf(c_35657,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_8183,c_71]) ).
tcf(c_35658,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(midpoint(X3,X0),X1,X2,X3)
| ~ s_t(X2,midpoint(X3,X0),X3)
| ~ s_t(midpoint(X3,X0),X0,X1)
| ~ s_e(X0,X1,X2,midpoint(X3,X0)) ),
inference(superposition,[status(thm)],[c_8226,c_71]) ).
tcf(c_35659,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_10,X0,X1,sK0)
| ~ s_t(iPr_def_10,sK5,X0)
| ~ s_t(X1,iPr_def_10,sK0)
| ~ s_e(sK5,X0,X1,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8232,c_71]) ).
tcf(c_35660,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_11,X0,X1,sK2)
| ~ s_t(iPr_def_11,sK1,X0)
| ~ s_t(X1,iPr_def_11,sK2)
| ~ s_e(sK1,X0,X1,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8238,c_71]) ).
tcf(c_35661,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_8406,c_71]) ).
tcf(c_35662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X4,X0,s(midpoint(X2,X1),X3))
| ~ s_t(X2,X3,X4)
| ~ s_e(X3,X4,X0,X1)
| ~ s_t(X0,X1,s(midpoint(X2,X1),X3)) ),
inference(superposition,[status(thm)],[c_8408,c_71]) ).
tcf(c_35663,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK0,X2,X0,s(iPr_def_10,X1))
| ~ s_t(sK0,X1,X2)
| ~ s_e(X1,X2,X0,sK5)
| ~ s_t(X0,sK5,s(iPr_def_10,X1)) ),
inference(superposition,[status(thm)],[c_8409,c_71]) ).
tcf(c_35664,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X2,X0,s(iPr_def_11,X1))
| ~ s_t(sK2,X1,X2)
| ~ s_e(X1,X2,X0,sK1)
| ~ s_t(X0,sK1,s(iPr_def_11,X1)) ),
inference(superposition,[status(thm)],[c_8410,c_71]) ).
tcf(c_35665,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,X2,X0,s(iPr_def_10,X1))
| ~ s_t(sK5,X1,X2)
| ~ s_e(X1,X2,X0,sK0)
| ~ s_t(X0,sK0,s(iPr_def_10,X1)) ),
inference(superposition,[status(thm)],[c_8411,c_71]) ).
tcf(c_35666,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK1,X2,X0,s(iPr_def_11,X1))
| ~ s_t(sK1,X1,X2)
| ~ s_e(X1,X2,X0,sK2)
| ~ s_t(X0,sK2,s(iPr_def_11,X1)) ),
inference(superposition,[status(thm)],[c_8412,c_71]) ).
tcf(c_35667,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_8413,c_71]) ).
tcf(c_35668,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_8414,c_71]) ).
tcf(c_35669,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X2,X3)
| ~ s_t(X4,X0,X1)
| ~ s_t(X2,s(midpoint(X0,X3),X4),X3)
| ~ s_e(X0,X1,X2,s(midpoint(X0,X3),X4)) ),
inference(superposition,[status(thm)],[c_8415,c_71]) ).
tcf(c_35670,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X0,X1,sK5)
| ~ s_t(X2,sK0,X0)
| ~ s_t(X1,s(iPr_def_10,X2),sK5)
| ~ s_e(sK0,X0,X1,s(iPr_def_10,X2)) ),
inference(superposition,[status(thm)],[c_8416,c_71]) ).
tcf(c_35671,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X0,X1,sK1)
| ~ s_t(X2,sK2,X0)
| ~ s_t(X1,s(iPr_def_11,X2),sK1)
| ~ s_e(sK2,X0,X1,s(iPr_def_11,X2)) ),
inference(superposition,[status(thm)],[c_8417,c_71]) ).
tcf(c_35672,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X0,X1,sK0)
| ~ s_t(X2,sK5,X0)
| ~ s_t(X1,s(iPr_def_10,X2),sK0)
| ~ s_e(sK5,X0,X1,s(iPr_def_10,X2)) ),
inference(superposition,[status(thm)],[c_8418,c_71]) ).
tcf(c_35673,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X0,X1,sK2)
| ~ s_t(X2,sK1,X0)
| ~ s_t(X1,s(iPr_def_11,X2),sK2)
| ~ s_e(sK1,X0,X1,s(iPr_def_11,X2)) ),
inference(superposition,[status(thm)],[c_8419,c_71]) ).
tcf(c_35674,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK0,X1,X2,X0)
| ~ s_t(X2,sK5,X0)
| ~ s_t(sK0,s(iPr_def_10,X0),X1)
| ~ s_e(s(iPr_def_10,X0),X1,X2,sK5) ),
inference(superposition,[status(thm)],[c_8433,c_71]) ).
tcf(c_35675,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,X0,X1,iPr_def_10)
| ~ s_t(sK0,iPr_def_10,X0)
| ~ s_t(X1,sK5,iPr_def_10)
| ~ s_e(iPr_def_10,X0,X1,sK5) ),
inference(superposition,[status(thm)],[c_8434,c_71]) ).
tcf(c_35676,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X1,X2,X0)
| ~ s_t(X2,sK1,X0)
| ~ s_t(sK2,s(iPr_def_11,X0),X1)
| ~ s_e(s(iPr_def_11,X0),X1,X2,sK1) ),
inference(superposition,[status(thm)],[c_8438,c_71]) ).
tcf(c_35677,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,X1,iPr_def_11)
| ~ s_t(sK2,iPr_def_11,X0)
| ~ s_t(X1,sK1,iPr_def_11)
| ~ s_e(iPr_def_11,X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_8439,c_71]) ).
tcf(c_35678,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,X1,X2,X0)
| ~ s_t(X2,sK0,X0)
| ~ s_t(sK5,s(iPr_def_10,X0),X1)
| ~ s_e(s(iPr_def_10,X0),X1,X2,sK0) ),
inference(superposition,[status(thm)],[c_8443,c_71]) ).
tcf(c_35679,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X0,X1,iPr_def_10)
| ~ s_t(sK5,iPr_def_10,X0)
| ~ s_t(X1,sK0,iPr_def_10)
| ~ s_e(iPr_def_10,X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_8444,c_71]) ).
tcf(c_35680,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK1,X1,X2,X0)
| ~ s_t(X2,sK2,X0)
| ~ s_t(sK1,s(iPr_def_11,X0),X1)
| ~ s_e(s(iPr_def_11,X0),X1,X2,sK2) ),
inference(superposition,[status(thm)],[c_8448,c_71]) ).
tcf(c_35681,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,X0,X1,iPr_def_11)
| ~ s_t(sK1,iPr_def_11,X0)
| ~ s_t(X1,sK2,iPr_def_11)
| ~ s_e(iPr_def_11,X0,X1,sK2) ),
inference(superposition,[status(thm)],[c_8449,c_71]) ).
tcf(c_35682,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_8453,c_71]) ).
tcf(c_35683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X2,X3,midpoint(X0,X1))
| ~ s_t(X3,X1,midpoint(X0,X1))
| ~ s_t(X0,midpoint(X0,X1),X2)
| ~ s_e(midpoint(X0,X1),X2,X3,X1) ),
inference(superposition,[status(thm)],[c_8455,c_71]) ).
tcf(c_35684,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_10,X0),X1,X2,sK5)
| ~ s_t(X2,X0,sK5)
| ~ s_e(sK0,X1,X2,X0)
| ~ s_t(s(iPr_def_10,X0),sK0,X1) ),
inference(superposition,[status(thm)],[c_8462,c_71]) ).
tcf(c_35685,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_11,X0),X1,X2,sK1)
| ~ s_t(X2,X0,sK1)
| ~ s_e(sK2,X1,X2,X0)
| ~ s_t(s(iPr_def_11,X0),sK2,X1) ),
inference(superposition,[status(thm)],[c_8467,c_71]) ).
tcf(c_35686,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_10,X0),X1,X2,sK0)
| ~ s_t(X2,X0,sK0)
| ~ s_e(sK5,X1,X2,X0)
| ~ s_t(s(iPr_def_10,X0),sK5,X1) ),
inference(superposition,[status(thm)],[c_8472,c_71]) ).
tcf(c_35687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X4,X0,s(midpoint(X1,X2),X3))
| ~ s_t(X2,X3,X4)
| ~ s_e(X3,X4,X0,X1)
| ~ s_t(X0,X1,s(midpoint(X1,X2),X3)) ),
inference(superposition,[status(thm)],[c_8479,c_71]) ).
tcf(c_35688,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_8484,c_71]) ).
tcf(c_35689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(midpoint(X0,X1),X2),X3,X4,X1)
| ~ s_t(X4,X2,X1)
| ~ s_e(X0,X3,X4,X2)
| ~ s_t(s(midpoint(X0,X1),X2),X0,X3) ),
inference(superposition,[status(thm)],[c_8486,c_71]) ).
tcf(c_35690,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_11,X0),X1,X2,sK2)
| ~ s_t(X2,X0,sK2)
| ~ s_e(sK1,X1,X2,X0)
| ~ s_t(s(iPr_def_11,X0),sK1,X1) ),
inference(superposition,[status(thm)],[c_8490,c_71]) ).
tcf(c_35691,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,s(midpoint(X0,X1),X2),X3)
| ~ s_e(s(midpoint(X0,X1),X2),X3,X4,X1) ),
inference(superposition,[status(thm)],[c_8606,c_71]) ).
tcf(c_35692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X1,X2,X3)
| ~ s_t(X4,X0,X1)
| ~ s_t(X2,s(midpoint(X3,X0),X4),X3)
| ~ s_e(X0,X1,X2,s(midpoint(X3,X0),X4)) ),
inference(superposition,[status(thm)],[c_8726,c_71]) ).
tcf(c_35693,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_8752,c_71]) ).
tcf(c_35694,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,X1,sK0)
| ~ s_t(sK2,sK5,X0)
| ~ s_t(X1,sK1,sK0)
| ~ s_e(sK5,X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_8756,c_71]) ).
tcf(c_35695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X3,X4,X2)
| ~ s_t(X4,X0,X2)
| ~ s_t(X1,s(midpoint(X0,X1),X2),X3)
| ~ s_e(s(midpoint(X0,X1),X2),X3,X4,X0) ),
inference(superposition,[status(thm)],[c_8766,c_71]) ).
tcf(c_35696,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_8786,c_71]) ).
tcf(c_35697,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_8789,c_71]) ).
tcf(c_35698,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,X0,X1,sK5)
| ~ s_t(sK0,sK1,X0)
| ~ s_t(X1,sK2,sK5)
| ~ s_e(sK1,X0,X1,sK2) ),
inference(superposition,[status(thm)],[c_8790,c_71]) ).
tcf(c_35699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X2,X3,X1)
| ~ s_t(X3,midpoint(X0,X1),X1)
| ~ s_t(X0,midpoint(X0,X1),X2)
| ~ s_e(midpoint(X0,X1),X2,X3,midpoint(X0,X1)) ),
inference(superposition,[status(thm)],[c_8791,c_71]) ).
tcf(c_35700,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,X0,X1,sK5)
| ~ s_t(sK0,iPr_def_10,X0)
| ~ s_t(X1,iPr_def_10,sK5)
| ~ s_e(iPr_def_10,X0,X1,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8792,c_71]) ).
tcf(c_35701,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,X1,sK1)
| ~ s_t(sK2,iPr_def_11,X0)
| ~ s_t(X1,iPr_def_11,sK1)
| ~ s_e(iPr_def_11,X0,X1,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8793,c_71]) ).
tcf(c_35702,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_8794,c_71]) ).
tcf(c_35703,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_8795,c_71]) ).
tcf(c_35704,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X2,X3,X0)
| ~ s_t(X3,midpoint(X0,X1),X0)
| ~ s_t(X1,midpoint(X0,X1),X2)
| ~ s_e(midpoint(X0,X1),X2,X3,midpoint(X0,X1)) ),
inference(superposition,[status(thm)],[c_8796,c_71]) ).
tcf(c_35705,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X0,X1,sK0)
| ~ s_t(sK5,iPr_def_10,X0)
| ~ s_t(X1,iPr_def_10,sK0)
| ~ s_e(iPr_def_10,X0,X1,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8797,c_71]) ).
tcf(c_35706,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,X0,X1,sK2)
| ~ s_t(sK1,iPr_def_11,X0)
| ~ s_t(X1,iPr_def_11,sK2)
| ~ s_e(iPr_def_11,X0,X1,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8798,c_71]) ).
tcf(c_35707,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_8799,c_71]) ).
tcf(c_35708,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X4,X0,s(midpoint(X2,X1),X3))
| ~ s_t(X3,X2,X4)
| ~ s_e(X2,X4,X0,X1)
| ~ s_t(X0,X1,s(midpoint(X2,X1),X3)) ),
inference(superposition,[status(thm)],[c_8800,c_71]) ).
tcf(c_35709,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X2,X0,s(iPr_def_10,X1))
| ~ s_t(X1,sK0,X2)
| ~ s_e(sK0,X2,X0,sK5)
| ~ s_t(X0,sK5,s(iPr_def_10,X1)) ),
inference(superposition,[status(thm)],[c_8801,c_71]) ).
tcf(c_35710,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X2,X0,s(iPr_def_11,X1))
| ~ s_t(X1,sK2,X2)
| ~ s_e(sK2,X2,X0,sK1)
| ~ s_t(X0,sK1,s(iPr_def_11,X1)) ),
inference(superposition,[status(thm)],[c_8802,c_71]) ).
tcf(c_35711,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X2,X0,s(iPr_def_10,X1))
| ~ s_t(X1,sK5,X2)
| ~ s_e(sK5,X2,X0,sK0)
| ~ s_t(X0,sK0,s(iPr_def_10,X1)) ),
inference(superposition,[status(thm)],[c_8803,c_71]) ).
tcf(c_35712,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X2,X0,s(iPr_def_11,X1))
| ~ s_t(X1,sK1,X2)
| ~ s_e(sK1,X2,X0,sK2)
| ~ s_t(X0,sK2,s(iPr_def_11,X1)) ),
inference(superposition,[status(thm)],[c_8804,c_71]) ).
tcf(c_35713,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_8805,c_71]) ).
tcf(c_35714,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_8806,c_71]) ).
tcf(c_35715,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK0,X1,X2,sK5)
| ~ s_t(sK0,X0,X1)
| ~ s_t(X2,s(iPr_def_10,X0),sK5)
| ~ s_e(X0,X1,X2,s(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_8807,c_71]) ).
tcf(c_35716,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X1,X2,sK1)
| ~ s_t(sK2,X0,X1)
| ~ s_t(X2,s(iPr_def_11,X0),sK1)
| ~ s_e(X0,X1,X2,s(iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_8808,c_71]) ).
tcf(c_35717,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,X1,X2,sK0)
| ~ s_t(sK5,X0,X1)
| ~ s_t(X2,s(iPr_def_10,X0),sK0)
| ~ s_e(X0,X1,X2,s(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_8809,c_71]) ).
tcf(c_35718,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_10,X0,X1,iPr_def_10)
| ~ s_t(iPr_def_10,sK0,X0)
| ~ s_t(X1,sK5,iPr_def_10)
| ~ s_e(sK0,X0,X1,sK5) ),
inference(superposition,[status(thm)],[c_8810,c_71]) ).
tcf(c_35719,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_11,X0,X1,iPr_def_11)
| ~ s_t(iPr_def_11,sK2,X0)
| ~ s_t(X1,sK1,iPr_def_11)
| ~ s_e(sK2,X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_8811,c_71]) ).
tcf(c_35720,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_10,X0,X1,iPr_def_10)
| ~ s_t(iPr_def_10,sK5,X0)
| ~ s_t(X1,sK0,iPr_def_10)
| ~ s_e(sK5,X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_8812,c_71]) ).
tcf(c_35721,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_11,X0,X1,iPr_def_11)
| ~ s_t(iPr_def_11,sK1,X0)
| ~ s_t(X1,sK2,iPr_def_11)
| ~ s_e(sK1,X0,X1,sK2) ),
inference(superposition,[status(thm)],[c_8813,c_71]) ).
tcf(c_35722,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X0,X1,sK0)
| ~ s_t(sK5,sK2,X0)
| ~ s_t(X1,sK1,sK0)
| ~ s_e(sK2,X0,X1,sK1) ),
inference(superposition,[status(thm)],[c_8845,c_71]) ).
tcf(c_35723,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,X1,sK1)
| ~ s_t(sK2,sK5,X0)
| ~ s_t(X1,sK0,sK1)
| ~ s_e(sK5,X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_8848,c_71]) ).
tcf(c_35724,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,X0,X1,sK2)
| ~ s_t(sK1,sK0,X0)
| ~ s_t(X1,sK5,sK2)
| ~ s_e(sK0,X0,X1,sK5) ),
inference(superposition,[status(thm)],[c_8850,c_71]) ).
tcf(c_35725,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X0,X1,sK1)
| ~ s_t(sK5,sK2,X0)
| ~ s_t(X1,sK0,sK1)
| ~ s_e(sK2,X0,X1,sK0) ),
inference(superposition,[status(thm)],[c_8851,c_71]) ).
tcf(c_35726,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,X0,X1,sK2)
| ~ s_t(sK0,sK1,X0)
| ~ s_t(X1,sK5,sK2)
| ~ s_e(sK1,X0,X1,sK5) ),
inference(superposition,[status(thm)],[c_8853,c_71]) ).
tcf(c_35727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X2,X4)
| ~ s_t(X3,X0,X1)
| ~ s_t(X2,s(midpoint(X3,X4),X0),X4)
| ~ s_e(X0,X1,X2,s(midpoint(X3,X4),X0)) ),
inference(superposition,[status(thm)],[c_8873,c_71]) ).
tcf(c_35728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(midpoint(X0,X1),X2),X3,X4,X0)
| ~ s_t(X4,X2,X0)
| ~ s_e(X1,X3,X4,X2)
| ~ s_t(s(midpoint(X0,X1),X2),X1,X3) ),
inference(superposition,[status(thm)],[c_8874,c_71]) ).
tcf(c_35729,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_8880,c_71]) ).
tcf(c_35730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(midpoint(X0,X1),X2,X3,midpoint(X0,X1))
| ~ s_e(X0,X2,X3,X1)
| ~ s_t(X3,X1,midpoint(X0,X1))
| ~ s_t(midpoint(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_8885,c_71]) ).
tcf(c_35731,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_8889,c_71]) ).
tcf(c_35732,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(midpoint(X0,X1),X2,X3,midpoint(X0,X1))
| ~ s_e(X1,X2,X3,X0)
| ~ s_t(X3,X0,midpoint(X0,X1))
| ~ s_t(midpoint(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_8890,c_71]) ).
tcf(c_35733,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK1,X1,X2,sK2)
| ~ s_t(sK1,X0,X1)
| ~ s_t(X2,s(iPr_def_11,X0),sK2)
| ~ s_e(X0,X1,X2,s(iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_8898,c_71]) ).
tcf(c_35734,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_8924,c_71]) ).
tcf(c_35735,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X2,X3,midpoint(X0,X1))
| ~ s_t(X3,X0,midpoint(X0,X1))
| ~ s_t(X1,midpoint(X0,X1),X2)
| ~ s_e(midpoint(X0,X1),X2,X3,X0) ),
inference(superposition,[status(thm)],[c_8934,c_71]) ).
tcf(c_35736,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK0,X1,X2,sK5)
| ~ s_t(X2,X0,sK5)
| ~ s_t(sK0,s(iPr_def_10,X0),X1)
| ~ s_e(s(iPr_def_10,X0),X1,X2,X0) ),
inference(superposition,[status(thm)],[c_9156,c_71]) ).
tcf(c_35737,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_10,X0),X1,X2,X0)
| ~ s_t(X2,sK5,X0)
| ~ s_e(sK0,X1,X2,sK5)
| ~ s_t(s(iPr_def_10,X0),sK0,X1) ),
inference(superposition,[status(thm)],[c_9157,c_71]) ).
tcf(c_35738,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X1,X2,sK1)
| ~ s_t(X2,X0,sK1)
| ~ s_t(sK2,s(iPr_def_11,X0),X1)
| ~ s_e(s(iPr_def_11,X0),X1,X2,X0) ),
inference(superposition,[status(thm)],[c_9346,c_71]) ).
tcf(c_35739,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X2,X0,s(X1,sK0))
| ~ s_t(sK2,sK5,X2)
| ~ s_e(sK5,X2,X0,s(X1,sK1))
| ~ s_t(X0,s(X1,sK1),s(X1,sK0)) ),
inference(superposition,[status(thm)],[c_14740,c_71]) ).
tcf(c_35740,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X2,X0,s(X1,sK0))
| ~ s_r(sK1,X1,sK0)
| ~ s_t(sK2,sK5,X2)
| ~ s_e(sK5,X2,X0,sK1)
| ~ s_t(X0,sK1,s(X1,sK0)) ),
inference(superposition,[status(thm)],[c_14742,c_71]) ).
tcf(c_35741,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X1,X0,s(sK1,sK0))
| ~ s_t(sK2,sK5,X1)
| ~ s_e(sK5,X1,X0,sK1)
| ~ s_t(X0,sK1,s(sK1,sK0)) ),
inference(superposition,[status(thm)],[c_14743,c_71]) ).
tcf(c_35742,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X2,X0,s(midpoint(sK1,X1),sK0))
| ~ s_t(sK2,sK5,X2)
| ~ s_e(sK5,X2,X0,X1)
| ~ s_t(X0,X1,s(midpoint(sK1,X1),sK0)) ),
inference(superposition,[status(thm)],[c_14744,c_71]) ).
tcf(c_35743,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X1,X0,s(iPr_def_11,sK0))
| ~ s_t(sK2,sK5,X1)
| ~ s_e(sK5,X1,X0,sK2)
| ~ s_t(X0,sK2,s(iPr_def_11,sK0)) ),
inference(superposition,[status(thm)],[c_14745,c_71]) ).
tcf(c_35744,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,X1,sK0)
| ~ s_t(sK2,sK5,X0)
| ~ s_t(X1,s(sK0,sK1),sK0)
| ~ s_e(sK5,X0,X1,s(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_14746,c_71]) ).
tcf(c_35745,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X0,X1,X2)
| ~ s_t(sK2,sK5,X0)
| ~ s_t(X1,s(midpoint(sK0,X2),sK1),X2)
| ~ s_e(sK5,X0,X1,s(midpoint(sK0,X2),sK1)) ),
inference(superposition,[status(thm)],[c_14747,c_71]) ).
tcf(c_35746,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,X1,sK5)
| ~ s_t(sK2,sK5,X0)
| ~ s_t(X1,s(iPr_def_10,sK1),sK5)
| ~ s_e(sK5,X0,X1,s(iPr_def_10,sK1)) ),
inference(superposition,[status(thm)],[c_14748,c_71]) ).
tcf(c_35747,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X2,X0,s(midpoint(X1,sK1),sK0))
| ~ s_t(sK2,sK5,X2)
| ~ s_e(sK5,X2,X0,X1)
| ~ s_t(X0,X1,s(midpoint(X1,sK1),sK0)) ),
inference(superposition,[status(thm)],[c_14749,c_71]) ).
tcf(c_35748,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X0,X1,X2)
| ~ s_t(sK2,sK5,X0)
| ~ s_t(X1,s(midpoint(X2,sK0),sK1),X2)
| ~ s_e(sK5,X0,X1,s(midpoint(X2,sK0),sK1)) ),
inference(superposition,[status(thm)],[c_14750,c_71]) ).
tcf(c_35749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(sK2,X3,X0,ext(X2,X1,sK1,sK0))
| ~ s_t(sK2,sK5,X3)
| ~ s_e(sK5,X3,X0,X1)
| ~ s_t(X0,X1,ext(X2,X1,sK1,sK0)) ),
inference(superposition,[status(thm)],[c_14751,c_71]) ).
tcf(c_35750,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X1,X0,s(sK0,sK1))
| ~ s_t(sK2,sK5,X1)
| ~ s_e(sK5,X1,X0,sK0)
| ~ s_t(X0,sK0,s(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_14752,c_71]) ).
tcf(c_35751,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X1,X0,s(iPr_def_10,sK1))
| ~ s_t(sK2,sK5,X1)
| ~ s_e(sK5,X1,X0,sK5)
| ~ s_t(X0,sK5,s(iPr_def_10,sK1)) ),
inference(superposition,[status(thm)],[c_14753,c_71]) ).
tcf(c_35752,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,X1,sK1)
| ~ s_t(sK2,sK5,X0)
| ~ s_t(X1,s(sK1,sK0),sK1)
| ~ s_e(sK5,X0,X1,s(sK1,sK0)) ),
inference(superposition,[status(thm)],[c_14754,c_71]) ).
tcf(c_35753,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,X1,sK2)
| ~ s_t(sK2,sK5,X0)
| ~ s_t(X1,s(iPr_def_11,sK0),sK2)
| ~ s_e(sK5,X0,X1,s(iPr_def_11,sK0)) ),
inference(superposition,[status(thm)],[c_14756,c_71]) ).
tcf(c_35754,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X2,X0,s(X1,sK1))
| ~ s_t(sK2,sK5,X2)
| ~ s_e(sK5,X2,X0,s(X1,sK0))
| ~ s_t(X0,s(X1,sK0),s(X1,sK1)) ),
inference(superposition,[status(thm)],[c_15120,c_71]) ).
tcf(c_36568,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_36569,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_36570,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_36571,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_36572,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_36573,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_36574,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_36575,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,X0,sK2,X1)
| ~ s_t(sK2,X1,sK5)
| ~ s_t(sK1,X0,sK0)
| ~ s_e(X0,sK0,X1,sK5) ),
inference(superposition,[status(thm)],[c_5721,c_90]) ).
tcf(c_36576,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_277,c_90]) ).
tcf(c_36577,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(midpoint(X0,X1),X2,midpoint(X0,X1),X3)
| ~ s_e(X2,X0,X3,X1)
| ~ s_t(midpoint(X0,X1),X3,X1)
| ~ s_t(midpoint(X0,X1),X2,X0) ),
inference(superposition,[status(thm)],[c_1804,c_90]) ).
tcf(c_36578,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_10,X0,iPr_def_10,X1)
| ~ s_t(iPr_def_10,X1,sK5)
| ~ s_t(iPr_def_10,X0,sK0)
| ~ s_e(X0,sK0,X1,sK5) ),
inference(superposition,[status(thm)],[c_8164,c_90]) ).
tcf(c_36579,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_11,X0,iPr_def_11,X1)
| ~ s_t(iPr_def_11,X1,sK1)
| ~ s_t(iPr_def_11,X0,sK2)
| ~ s_e(X0,sK2,X1,sK1) ),
inference(superposition,[status(thm)],[c_8166,c_90]) ).
tcf(c_36580,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_8176,c_90]) ).
tcf(c_36581,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_8183,c_90]) ).
tcf(c_36582,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(midpoint(X0,X1),X2,midpoint(X0,X1),X3)
| ~ s_e(X2,X1,X3,X0)
| ~ s_t(midpoint(X0,X1),X3,X0)
| ~ s_t(midpoint(X0,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_8226,c_90]) ).
tcf(c_36583,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_10,X0,iPr_def_10,X1)
| ~ s_t(iPr_def_10,X1,sK0)
| ~ s_t(iPr_def_10,X0,sK5)
| ~ s_e(X0,sK5,X1,sK0) ),
inference(superposition,[status(thm)],[c_8232,c_90]) ).
tcf(c_36584,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_11,X0,iPr_def_11,X1)
| ~ s_t(iPr_def_11,X1,sK2)
| ~ s_t(iPr_def_11,X0,sK1)
| ~ s_e(X0,sK1,X1,sK2) ),
inference(superposition,[status(thm)],[c_8238,c_90]) ).
tcf(c_36585,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_8406,c_90]) ).
tcf(c_36586,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X0,X4,X2)
| ~ s_t(X3,X0,X1)
| ~ s_t(X4,X2,s(midpoint(X3,X4),X1))
| ~ s_e(X0,X1,X2,s(midpoint(X3,X4),X1)) ),
inference(superposition,[status(thm)],[c_8408,c_90]) ).
tcf(c_36587,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK0,X0,sK5,X2)
| ~ s_t(sK0,X0,X1)
| ~ s_t(sK5,X2,s(iPr_def_10,X1))
| ~ s_e(X0,X1,X2,s(iPr_def_10,X1)) ),
inference(superposition,[status(thm)],[c_8409,c_90]) ).
tcf(c_36588,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X0,sK1,X2)
| ~ s_t(sK2,X0,X1)
| ~ s_t(sK1,X2,s(iPr_def_11,X1))
| ~ s_e(X0,X1,X2,s(iPr_def_11,X1)) ),
inference(superposition,[status(thm)],[c_8410,c_90]) ).
tcf(c_36589,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,X0,sK0,X2)
| ~ s_t(sK5,X0,X1)
| ~ s_t(sK0,X2,s(iPr_def_10,X1))
| ~ s_e(X0,X1,X2,s(iPr_def_10,X1)) ),
inference(superposition,[status(thm)],[c_8411,c_90]) ).
tcf(c_36590,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK1,X0,sK2,X2)
| ~ s_t(sK1,X0,X1)
| ~ s_t(sK2,X2,s(iPr_def_11,X1))
| ~ s_e(X0,X1,X2,s(iPr_def_11,X1)) ),
inference(superposition,[status(thm)],[c_8412,c_90]) ).
tcf(c_36591,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_8413,c_90]) ).
tcf(c_36592,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_8414,c_90]) ).
tcf(c_36593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X4,s(midpoint(X0,X1),X2),X3)
| ~ s_t(X2,X4,X0)
| ~ s_e(X4,X0,X3,X1)
| ~ s_t(s(midpoint(X0,X1),X2),X3,X1) ),
inference(superposition,[status(thm)],[c_8415,c_90]) ).
tcf(c_36594,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,s(iPr_def_10,X0),X1)
| ~ s_t(X0,X2,sK0)
| ~ s_e(X2,sK0,X1,sK5)
| ~ s_t(s(iPr_def_10,X0),X1,sK5) ),
inference(superposition,[status(thm)],[c_8416,c_90]) ).
tcf(c_36595,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,s(iPr_def_11,X0),X1)
| ~ s_t(X0,X2,sK2)
| ~ s_e(X2,sK2,X1,sK1)
| ~ s_t(s(iPr_def_11,X0),X1,sK1) ),
inference(superposition,[status(thm)],[c_8417,c_90]) ).
tcf(c_36596,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,s(iPr_def_10,X0),X1)
| ~ s_t(X0,X2,sK5)
| ~ s_e(X2,sK5,X1,sK0)
| ~ s_t(s(iPr_def_10,X0),X1,sK0) ),
inference(superposition,[status(thm)],[c_8418,c_90]) ).
tcf(c_36597,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,s(iPr_def_11,X0),X1)
| ~ s_t(X0,X2,sK1)
| ~ s_e(X2,sK1,X1,sK2)
| ~ s_t(s(iPr_def_11,X0),X1,sK2) ),
inference(superposition,[status(thm)],[c_8419,c_90]) ).
tcf(c_36598,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK0,X0,sK5,X2)
| ~ s_t(sK5,X2,X1)
| ~ s_t(sK0,X0,s(iPr_def_10,X1))
| ~ s_e(X0,s(iPr_def_10,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_8433,c_90]) ).
tcf(c_36599,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,X0,sK5,X1)
| ~ s_t(sK5,X1,iPr_def_10)
| ~ s_t(sK0,X0,iPr_def_10)
| ~ s_e(X0,iPr_def_10,X1,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8434,c_90]) ).
tcf(c_36600,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X0,sK1,X2)
| ~ s_t(sK1,X2,X1)
| ~ s_t(sK2,X0,s(iPr_def_11,X1))
| ~ s_e(X0,s(iPr_def_11,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_8438,c_90]) ).
tcf(c_36601,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,sK1,X1)
| ~ s_t(sK2,X0,iPr_def_11)
| ~ s_t(sK1,X1,iPr_def_11)
| ~ s_e(X0,iPr_def_11,X1,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8439,c_90]) ).
tcf(c_36602,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,X0,sK0,X2)
| ~ s_t(sK0,X2,X1)
| ~ s_t(sK5,X0,s(iPr_def_10,X1))
| ~ s_e(X0,s(iPr_def_10,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_8443,c_90]) ).
tcf(c_36603,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X0,sK0,X1)
| ~ s_t(sK5,X0,iPr_def_10)
| ~ s_t(sK0,X1,iPr_def_10)
| ~ s_e(X0,iPr_def_10,X1,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8444,c_90]) ).
tcf(c_36604,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK1,X0,sK2,X2)
| ~ s_t(sK2,X2,X1)
| ~ s_t(sK1,X0,s(iPr_def_11,X1))
| ~ s_e(X0,s(iPr_def_11,X1),X2,X1) ),
inference(superposition,[status(thm)],[c_8448,c_90]) ).
tcf(c_36605,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,X0,sK2,X1)
| ~ s_t(sK2,X1,iPr_def_11)
| ~ s_t(sK1,X0,iPr_def_11)
| ~ s_e(X0,iPr_def_11,X1,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8449,c_90]) ).
tcf(c_36606,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_8453,c_90]) ).
tcf(c_36607,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X0,X2,X3)
| ~ s_t(X2,X3,midpoint(X1,X2))
| ~ s_t(X1,X0,midpoint(X1,X2))
| ~ s_e(X0,midpoint(X1,X2),X3,midpoint(X1,X2)) ),
inference(superposition,[status(thm)],[c_8455,c_90]) ).
tcf(c_36608,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_10,X0),X1,X0,X2)
| ~ s_t(X0,X2,sK5)
| ~ s_e(X1,sK0,X2,sK5)
| ~ s_t(s(iPr_def_10,X0),X1,sK0) ),
inference(superposition,[status(thm)],[c_8462,c_90]) ).
tcf(c_36609,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_11,X0),X1,X0,X2)
| ~ s_t(X0,X2,sK1)
| ~ s_e(X1,sK2,X2,sK1)
| ~ s_t(s(iPr_def_11,X0),X1,sK2) ),
inference(superposition,[status(thm)],[c_8467,c_90]) ).
tcf(c_36610,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_10,X0),X1,X0,X2)
| ~ s_t(X0,X2,sK0)
| ~ s_e(X1,sK5,X2,sK0)
| ~ s_t(s(iPr_def_10,X0),X1,sK5) ),
inference(superposition,[status(thm)],[c_8472,c_90]) ).
tcf(c_36611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X0,X3,X2)
| ~ s_t(X4,X0,X1)
| ~ s_t(X3,X2,s(midpoint(X3,X4),X1))
| ~ s_e(X0,X1,X2,s(midpoint(X3,X4),X1)) ),
inference(superposition,[status(thm)],[c_8479,c_90]) ).
tcf(c_36612,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_8484,c_90]) ).
tcf(c_36613,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(midpoint(X0,X1),X2),X3,X2,X4)
| ~ s_t(X2,X4,X1)
| ~ s_e(X3,X0,X4,X1)
| ~ s_t(s(midpoint(X0,X1),X2),X3,X0) ),
inference(superposition,[status(thm)],[c_8486,c_90]) ).
tcf(c_36614,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_11,X0),X1,X0,X2)
| ~ s_t(X0,X2,sK2)
| ~ s_e(X1,sK1,X2,sK2)
| ~ s_t(s(iPr_def_11,X0),X1,sK1) ),
inference(superposition,[status(thm)],[c_8490,c_90]) ).
tcf(c_36615,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,s(midpoint(X1,X2),X3))
| ~ s_e(X0,s(midpoint(X1,X2),X3),X4,X3) ),
inference(superposition,[status(thm)],[c_8606,c_90]) ).
tcf(c_36616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X4,s(midpoint(X0,X1),X2),X3)
| ~ s_t(X2,X4,X1)
| ~ s_e(X4,X1,X3,X0)
| ~ s_t(s(midpoint(X0,X1),X2),X3,X0) ),
inference(superposition,[status(thm)],[c_8726,c_90]) ).
tcf(c_36617,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_8752,c_90]) ).
tcf(c_36618,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,sK1,X1)
| ~ s_t(sK2,X0,sK5)
| ~ s_t(sK1,X1,sK0)
| ~ s_e(X0,sK5,X1,sK0) ),
inference(superposition,[status(thm)],[c_8756,c_90]) ).
tcf(c_36619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X0,X1,X4)
| ~ s_t(X1,X4,X3)
| ~ s_t(X2,X0,s(midpoint(X1,X2),X3))
| ~ s_e(X0,s(midpoint(X1,X2),X3),X4,X3) ),
inference(superposition,[status(thm)],[c_8766,c_90]) ).
tcf(c_36620,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_8786,c_90]) ).
tcf(c_36621,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_8789,c_90]) ).
tcf(c_36622,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,X0,sK2,X1)
| ~ s_t(sK2,X1,sK5)
| ~ s_t(sK0,X0,sK1)
| ~ s_e(X0,sK1,X1,sK5) ),
inference(superposition,[status(thm)],[c_8790,c_90]) ).
tcf(c_36623,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X0,midpoint(X1,X2),X3)
| ~ s_t(X1,X0,midpoint(X1,X2))
| ~ s_t(midpoint(X1,X2),X3,X2)
| ~ s_e(X0,midpoint(X1,X2),X3,X2) ),
inference(superposition,[status(thm)],[c_8791,c_90]) ).
tcf(c_36624,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,X0,iPr_def_10,X1)
| ~ s_t(iPr_def_10,X1,sK5)
| ~ s_t(sK0,X0,iPr_def_10)
| ~ s_e(X0,iPr_def_10,X1,sK5) ),
inference(superposition,[status(thm)],[c_8792,c_90]) ).
tcf(c_36625,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,iPr_def_11,X1)
| ~ s_t(iPr_def_11,X1,sK1)
| ~ s_t(sK2,X0,iPr_def_11)
| ~ s_e(X0,iPr_def_11,X1,sK1) ),
inference(superposition,[status(thm)],[c_8793,c_90]) ).
tcf(c_36626,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_8794,c_90]) ).
tcf(c_36627,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_8795,c_90]) ).
tcf(c_36628,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X0,midpoint(X1,X2),X3)
| ~ s_t(X2,X0,midpoint(X1,X2))
| ~ s_t(midpoint(X1,X2),X3,X1)
| ~ s_e(X0,midpoint(X1,X2),X3,X1) ),
inference(superposition,[status(thm)],[c_8796,c_90]) ).
tcf(c_36629,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X0,iPr_def_10,X1)
| ~ s_t(iPr_def_10,X1,sK0)
| ~ s_t(sK5,X0,iPr_def_10)
| ~ s_e(X0,iPr_def_10,X1,sK0) ),
inference(superposition,[status(thm)],[c_8797,c_90]) ).
tcf(c_36630,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,X0,iPr_def_11,X1)
| ~ s_t(iPr_def_11,X1,sK2)
| ~ s_t(sK1,X0,iPr_def_11)
| ~ s_e(X0,iPr_def_11,X1,sK2) ),
inference(superposition,[status(thm)],[c_8798,c_90]) ).
tcf(c_36631,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_8799,c_90]) ).
tcf(c_36632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X4,X0,X3,X2)
| ~ s_t(X4,X0,X1)
| ~ s_t(X3,X2,s(midpoint(X1,X3),X4))
| ~ s_e(X0,X1,X2,s(midpoint(X1,X3),X4)) ),
inference(superposition,[status(thm)],[c_8800,c_90]) ).
tcf(c_36633,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X0,sK5,X1)
| ~ s_t(X2,X0,sK0)
| ~ s_t(sK5,X1,s(iPr_def_10,X2))
| ~ s_e(X0,sK0,X1,s(iPr_def_10,X2)) ),
inference(superposition,[status(thm)],[c_8801,c_90]) ).
tcf(c_36634,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X0,sK1,X1)
| ~ s_t(X2,X0,sK2)
| ~ s_t(sK1,X1,s(iPr_def_11,X2))
| ~ s_e(X0,sK2,X1,s(iPr_def_11,X2)) ),
inference(superposition,[status(thm)],[c_8802,c_90]) ).
tcf(c_36635,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X0,sK0,X1)
| ~ s_t(X2,X0,sK5)
| ~ s_t(sK0,X1,s(iPr_def_10,X2))
| ~ s_e(X0,sK5,X1,s(iPr_def_10,X2)) ),
inference(superposition,[status(thm)],[c_8803,c_90]) ).
tcf(c_36636,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X2,X0,sK2,X1)
| ~ s_t(X2,X0,sK1)
| ~ s_t(sK2,X1,s(iPr_def_11,X2))
| ~ s_e(X0,sK1,X1,s(iPr_def_11,X2)) ),
inference(superposition,[status(thm)],[c_8804,c_90]) ).
tcf(c_36637,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_8805,c_90]) ).
tcf(c_36638,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_8806,c_90]) ).
tcf(c_36639,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK0,X2,s(iPr_def_10,X0),X1)
| ~ s_t(sK0,X2,X0)
| ~ s_e(X2,X0,X1,sK5)
| ~ s_t(s(iPr_def_10,X0),X1,sK5) ),
inference(superposition,[status(thm)],[c_8807,c_90]) ).
tcf(c_36640,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X2,s(iPr_def_11,X0),X1)
| ~ s_t(sK2,X2,X0)
| ~ s_e(X2,X0,X1,sK1)
| ~ s_t(s(iPr_def_11,X0),X1,sK1) ),
inference(superposition,[status(thm)],[c_8808,c_90]) ).
tcf(c_36641,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,X2,s(iPr_def_10,X0),X1)
| ~ s_t(sK5,X2,X0)
| ~ s_e(X2,X0,X1,sK0)
| ~ s_t(s(iPr_def_10,X0),X1,sK0) ),
inference(superposition,[status(thm)],[c_8809,c_90]) ).
tcf(c_36642,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_10,X0,sK5,X1)
| ~ s_t(iPr_def_10,X0,sK0)
| ~ s_t(sK5,X1,iPr_def_10)
| ~ s_e(X0,sK0,X1,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8810,c_90]) ).
tcf(c_36643,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_11,X0,sK1,X1)
| ~ s_t(iPr_def_11,X0,sK2)
| ~ s_t(sK1,X1,iPr_def_11)
| ~ s_e(X0,sK2,X1,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8811,c_90]) ).
tcf(c_36644,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_10,X0,sK0,X1)
| ~ s_t(iPr_def_10,X0,sK5)
| ~ s_t(sK0,X1,iPr_def_10)
| ~ s_e(X0,sK5,X1,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8812,c_90]) ).
tcf(c_36645,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_11,X0,sK2,X1)
| ~ s_t(iPr_def_11,X0,sK1)
| ~ s_t(sK2,X1,iPr_def_11)
| ~ s_e(X0,sK1,X1,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8813,c_90]) ).
tcf(c_36646,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X0,sK1,X1)
| ~ s_t(sK5,X0,sK2)
| ~ s_t(sK1,X1,sK0)
| ~ s_e(X0,sK2,X1,sK0) ),
inference(superposition,[status(thm)],[c_8845,c_90]) ).
tcf(c_36647,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,sK0,X1)
| ~ s_t(sK2,X0,sK5)
| ~ s_t(sK0,X1,sK1)
| ~ s_e(X0,sK5,X1,sK1) ),
inference(superposition,[status(thm)],[c_8848,c_90]) ).
tcf(c_36648,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,X0,sK5,X1)
| ~ s_t(sK5,X1,sK2)
| ~ s_t(sK1,X0,sK0)
| ~ s_e(X0,sK0,X1,sK2) ),
inference(superposition,[status(thm)],[c_8850,c_90]) ).
tcf(c_36649,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X0,sK0,X1)
| ~ s_t(sK5,X0,sK2)
| ~ s_t(sK0,X1,sK1)
| ~ s_e(X0,sK2,X1,sK1) ),
inference(superposition,[status(thm)],[c_8851,c_90]) ).
tcf(c_36650,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,X0,sK5,X1)
| ~ s_t(sK5,X1,sK2)
| ~ s_t(sK0,X0,sK1)
| ~ s_e(X0,sK1,X1,sK2) ),
inference(superposition,[status(thm)],[c_8853,c_90]) ).
tcf(c_36651,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X4,s(midpoint(X0,X1),X2),X3)
| ~ s_t(X0,X4,X2)
| ~ s_e(X4,X2,X3,X1)
| ~ s_t(s(midpoint(X0,X1),X2),X3,X1) ),
inference(superposition,[status(thm)],[c_8873,c_90]) ).
tcf(c_36652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(midpoint(X0,X1),X2),X3,X2,X4)
| ~ s_t(X2,X4,X0)
| ~ s_e(X3,X1,X4,X0)
| ~ s_t(s(midpoint(X0,X1),X2),X3,X1) ),
inference(superposition,[status(thm)],[c_8874,c_90]) ).
tcf(c_36653,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_8880,c_90]) ).
tcf(c_36654,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(midpoint(X1,X3),X0,X3,X2)
| ~ s_t(X3,X2,midpoint(X1,X3))
| ~ s_t(midpoint(X1,X3),X0,X1)
| ~ s_e(X0,X1,X2,midpoint(X1,X3)) ),
inference(superposition,[status(thm)],[c_8885,c_90]) ).
tcf(c_36655,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_8889,c_90]) ).
tcf(c_36656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(midpoint(X3,X1),X0,X3,X2)
| ~ s_t(X3,X2,midpoint(X3,X1))
| ~ s_t(midpoint(X3,X1),X0,X1)
| ~ s_e(X0,X1,X2,midpoint(X3,X1)) ),
inference(superposition,[status(thm)],[c_8890,c_90]) ).
tcf(c_36657,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK1,X2,s(iPr_def_11,X0),X1)
| ~ s_t(sK1,X2,X0)
| ~ s_e(X2,X0,X1,sK2)
| ~ s_t(s(iPr_def_11,X0),X1,sK2) ),
inference(superposition,[status(thm)],[c_8898,c_90]) ).
tcf(c_36658,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_8924,c_90]) ).
tcf(c_36659,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X2,X0,X1,X3)
| ~ s_t(X2,X0,midpoint(X1,X2))
| ~ s_t(X1,X3,midpoint(X1,X2))
| ~ s_e(X0,midpoint(X1,X2),X3,midpoint(X1,X2)) ),
inference(superposition,[status(thm)],[c_8934,c_90]) ).
tcf(c_36660,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK0,X0,X1,X2)
| ~ s_t(X1,X2,sK5)
| ~ s_t(sK0,X0,s(iPr_def_10,X1))
| ~ s_e(X0,s(iPr_def_10,X1),X2,sK5) ),
inference(superposition,[status(thm)],[c_9156,c_90]) ).
tcf(c_36661,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_10,X0),X1,sK5,X2)
| ~ s_t(sK5,X2,X0)
| ~ s_e(X1,sK0,X2,X0)
| ~ s_t(s(iPr_def_10,X0),X1,sK0) ),
inference(superposition,[status(thm)],[c_9157,c_90]) ).
tcf(c_36662,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X0,X1,X2)
| ~ s_t(X1,X2,sK1)
| ~ s_t(sK2,X0,s(iPr_def_11,X1))
| ~ s_e(X0,s(iPr_def_11,X1),X2,sK1) ),
inference(superposition,[status(thm)],[c_9346,c_90]) ).
tcf(c_36663,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X2,s(X0,sK1),X1)
| ~ s_t(sK2,X2,sK5)
| ~ s_e(X2,sK5,X1,s(X0,sK0))
| ~ s_t(s(X0,sK1),X1,s(X0,sK0)) ),
inference(superposition,[status(thm)],[c_14740,c_90]) ).
tcf(c_36664,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X0,sK1,X1)
| ~ s_r(sK1,X2,sK0)
| ~ s_t(sK2,X0,sK5)
| ~ s_t(sK1,X1,s(X2,sK0))
| ~ s_e(X0,sK5,X1,s(X2,sK0)) ),
inference(superposition,[status(thm)],[c_14742,c_90]) ).
tcf(c_36665,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,sK1,X1)
| ~ s_t(sK2,X0,sK5)
| ~ s_t(sK1,X1,s(sK1,sK0))
| ~ s_e(X0,sK5,X1,s(sK1,sK0)) ),
inference(superposition,[status(thm)],[c_14743,c_90]) ).
tcf(c_36666,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X0,X2,X1)
| ~ s_t(sK2,X0,sK5)
| ~ s_t(X2,X1,s(midpoint(sK1,X2),sK0))
| ~ s_e(X0,sK5,X1,s(midpoint(sK1,X2),sK0)) ),
inference(superposition,[status(thm)],[c_14744,c_90]) ).
tcf(c_36667,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,sK2,X1)
| ~ s_t(sK2,X0,sK5)
| ~ s_t(sK2,X1,s(iPr_def_11,sK0))
| ~ s_e(X0,sK5,X1,s(iPr_def_11,sK0)) ),
inference(superposition,[status(thm)],[c_14745,c_90]) ).
tcf(c_36668,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X1,s(sK0,sK1),X0)
| ~ s_t(sK2,X1,sK5)
| ~ s_e(X1,sK5,X0,sK0)
| ~ s_t(s(sK0,sK1),X0,sK0) ),
inference(superposition,[status(thm)],[c_14746,c_90]) ).
tcf(c_36669,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X2,s(midpoint(sK0,X0),sK1),X1)
| ~ s_t(sK2,X2,sK5)
| ~ s_e(X2,sK5,X1,X0)
| ~ s_t(s(midpoint(sK0,X0),sK1),X1,X0) ),
inference(superposition,[status(thm)],[c_14747,c_90]) ).
tcf(c_36670,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X1,s(iPr_def_10,sK1),X0)
| ~ s_t(sK2,X1,sK5)
| ~ s_e(X1,sK5,X0,sK5)
| ~ s_t(s(iPr_def_10,sK1),X0,sK5) ),
inference(superposition,[status(thm)],[c_14748,c_90]) ).
tcf(c_36671,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X0,X2,X1)
| ~ s_t(sK2,X0,sK5)
| ~ s_t(X2,X1,s(midpoint(X2,sK1),sK0))
| ~ s_e(X0,sK5,X1,s(midpoint(X2,sK1),sK0)) ),
inference(superposition,[status(thm)],[c_14749,c_90]) ).
tcf(c_36672,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X2,s(midpoint(X0,sK0),sK1),X1)
| ~ s_t(sK2,X2,sK5)
| ~ s_e(X2,sK5,X1,X0)
| ~ s_t(s(midpoint(X0,sK0),sK1),X1,X0) ),
inference(superposition,[status(thm)],[c_14750,c_90]) ).
tcf(c_36673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(sK2,X0,X3,X1)
| ~ s_t(sK2,X0,sK5)
| ~ s_t(X3,X1,ext(X2,X3,sK1,sK0))
| ~ s_e(X0,sK5,X1,ext(X2,X3,sK1,sK0)) ),
inference(superposition,[status(thm)],[c_14751,c_90]) ).
tcf(c_36674,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,sK0,X1)
| ~ s_t(sK2,X0,sK5)
| ~ s_t(sK0,X1,s(sK0,sK1))
| ~ s_e(X0,sK5,X1,s(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_14752,c_90]) ).
tcf(c_36675,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,sK5,X1)
| ~ s_t(sK2,X0,sK5)
| ~ s_t(sK5,X1,s(iPr_def_10,sK1))
| ~ s_e(X0,sK5,X1,s(iPr_def_10,sK1)) ),
inference(superposition,[status(thm)],[c_14753,c_90]) ).
tcf(c_36676,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X1,s(sK1,sK0),X0)
| ~ s_t(sK2,X1,sK5)
| ~ s_e(X1,sK5,X0,sK1)
| ~ s_t(s(sK1,sK0),X0,sK1) ),
inference(superposition,[status(thm)],[c_14754,c_90]) ).
tcf(c_36677,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X1,s(iPr_def_11,sK0),X0)
| ~ s_t(sK2,X1,sK5)
| ~ s_e(X1,sK5,X0,sK2)
| ~ s_t(s(iPr_def_11,sK0),X0,sK2) ),
inference(superposition,[status(thm)],[c_14756,c_90]) ).
tcf(c_36678,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X2,s(X0,sK0),X1)
| ~ s_t(sK2,X2,sK5)
| ~ s_e(X2,sK5,X1,s(X0,sK1))
| ~ s_t(s(X0,sK0),X1,s(X0,sK1)) ),
inference(superposition,[status(thm)],[c_15120,c_90]) ).
tcf(c_37460,plain,
! [X0: $i] :
( s_col(s(sK3,sK0),sK4,X0)
| ( s(sK3,sK0) = sK4 )
| ( s(sK3,sK0) = sK3 )
| ~ s_col(s(sK3,sK0),sK3,X0) ),
inference(superposition,[status(thm)],[c_15259,c_148]) ).
tcf(c_37461,plain,
( ( sK3 = sK4 )
| ( s(sK3,sK0) = sK3 )
| ~ s_r(s(sK3,sK0),sK3,sK4) ),
inference(superposition,[status(thm)],[c_15259,c_187]) ).
tcf(c_37462,plain,
! [X0: $i] :
( s_r(sK4,s(sK3,sK0),X0)
| ( s(sK3,sK0) = sK3 )
| ~ s_r(sK3,s(sK3,sK0),X0) ),
inference(superposition,[status(thm)],[c_15259,c_181]) ).
tcf(c_37482,plain,
! [X0: $i] :
( s_col(sK4,sK3,X0)
| ( sK3 = sK4 )
| ( s(sK3,sK0) = sK4 )
| ~ s_col(sK4,s(sK3,sK0),X0) ),
inference(superposition,[status(thm)],[c_15260,c_148]) ).
tcf(c_37483,plain,
( ( s(sK3,sK0) = sK4 )
| ( s(sK3,sK0) = sK3 )
| ~ s_r(sK4,s(sK3,sK0),sK3) ),
inference(superposition,[status(thm)],[c_15260,c_187]) ).
tcf(c_37484,plain,
! [X0: $i] :
( s_r(sK3,sK4,X0)
| ( s(sK3,sK0) = sK4 )
| ~ s_r(s(sK3,sK0),sK4,X0) ),
inference(superposition,[status(thm)],[c_15260,c_181]) ).
tcf(c_37486,plain,
( sameside(sK4,s(sK3,sK0),sK3)
| s_t(sK4,s(sK3,sK0),sK3) ),
inference(superposition,[status(thm)],[c_15260,c_134]) ).
tcf(c_37506,plain,
! [X0: $i] :
( s_col(sK3,s(sK3,sK2),X0)
| ( sK3 = sK5 )
| ( s(sK3,sK2) = sK3 )
| ~ s_col(sK3,sK5,X0) ),
inference(superposition,[status(thm)],[c_15811,c_148]) ).
tcf(c_37507,plain,
( ( sK3 = sK5 )
| ( s(sK3,sK2) = sK5 )
| ~ s_r(sK3,sK5,s(sK3,sK2)) ),
inference(superposition,[status(thm)],[c_15811,c_187]) ).
tcf(c_37508,plain,
! [X0: $i] :
( s_r(s(sK3,sK2),sK3,X0)
| ( sK3 = sK5 )
| ~ s_r(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_15811,c_181]) ).
tcf(c_37510,plain,
( sameside(sK3,sK5,s(sK3,sK2))
| s_t(sK3,sK5,s(sK3,sK2)) ),
inference(superposition,[status(thm)],[c_15811,c_134]) ).
tcf(c_37569,plain,
! [X0: $i] :
( s_col(s(sK3,sK2),sK5,X0)
| ( s(sK3,sK2) = sK5 )
| ( s(sK3,sK2) = sK3 )
| ~ s_col(s(sK3,sK2),sK3,X0) ),
inference(superposition,[status(thm)],[c_15812,c_148]) ).
tcf(c_37570,plain,
( ( sK3 = sK5 )
| ( s(sK3,sK2) = sK3 )
| ~ s_r(s(sK3,sK2),sK3,sK5) ),
inference(superposition,[status(thm)],[c_15812,c_187]) ).
tcf(c_37571,plain,
! [X0: $i] :
( s_r(sK5,s(sK3,sK2),X0)
| ( s(sK3,sK2) = sK3 )
| ~ s_r(sK3,s(sK3,sK2),X0) ),
inference(superposition,[status(thm)],[c_15812,c_181]) ).
tcf(c_37602,plain,
( sameside(sK0,sK4,sK0)
| ( sK3 = sK4 )
| ( sK0 = sK4 ) ),
inference(superposition,[status(thm)],[c_5723,c_33966]) ).
tcf(c_37603,plain,
( sameside(sK0,sK4,s(sK4,sK3))
| ( sK3 = sK4 )
| ( sK0 = sK4 )
| ( s(sK4,sK3) = sK4 ) ),
inference(superposition,[status(thm)],[c_8180,c_33966]) ).
tcf(c_37622,plain,
( sameside(sK2,sK5,sK2)
| ( sK3 = sK5 )
| ( sK2 = sK5 ) ),
inference(superposition,[status(thm)],[c_5722,c_33967]) ).
tcf(c_37623,plain,
( sameside(sK2,sK5,s(sK5,sK3))
| ( sK3 = sK5 )
| ( sK2 = sK5 )
| ( s(sK5,sK3) = sK5 ) ),
inference(superposition,[status(thm)],[c_8180,c_33967]) ).
tcf(c_37639,plain,
( s_e(sK1,sK5,sK2,sK0)
| ~ s_t(sK2,sK5,sK0)
| ~ s_t(sK1,sK0,sK5) ),
inference(superposition,[status(thm)],[c_49,c_34788]) ).
tcf(c_37640,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,ext(X0,sK0,sK5,X1),sK2,X1)
| ~ s_t(sK2,sK5,X1)
| ~ s_t(sK1,sK0,ext(X0,sK0,sK5,X1)) ),
inference(superposition,[status(thm)],[c_53,c_34788]) ).
tcf(c_37642,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,ins(sK5,X0,sK0,X1),sK2,X0)
| ~ s_t(sK2,sK5,X0)
| ~ le(sK0,X1,sK5,X0)
| ~ s_t(sK1,sK0,ins(sK5,X0,sK0,X1)) ),
inference(superposition,[status(thm)],[c_111,c_34788]) ).
tcf(c_37643,plain,
! [X0: $i] :
( s_e(sK1,X0,sK2,s(midpoint(sK0,sK5),X0))
| ~ s_t(sK1,sK0,X0)
| ~ s_t(sK2,sK5,s(midpoint(sK0,sK5),X0)) ),
inference(superposition,[status(thm)],[c_8408,c_34788]) ).
tcf(c_37644,plain,
! [X0: $i] :
( s_e(sK1,X0,sK2,s(iPr_def_10,X0))
| ~ s_t(sK1,sK0,X0)
| ~ s_t(sK2,sK5,s(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_8409,c_34788]) ).
tcf(c_37645,plain,
! [X0: $i] :
( s_e(sK1,s(iPr_def_10,X0),sK2,X0)
| ~ s_t(sK2,sK5,X0)
| ~ s_t(sK1,sK0,s(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_8433,c_34788]) ).
tcf(c_37646,plain,
( s_e(sK1,iPr_def_10,sK2,iPr_def_10)
| ~ s_t(sK2,sK5,iPr_def_10)
| ~ s_t(sK1,sK0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_8434,c_34788]) ).
tcf(c_37647,plain,
( s_e(sK1,midpoint(sK0,sK5),sK2,midpoint(sK0,sK5))
| ~ s_t(sK2,sK5,midpoint(sK0,sK5))
| ~ s_t(sK1,sK0,midpoint(sK0,sK5)) ),
inference(superposition,[status(thm)],[c_8455,c_34788]) ).
tcf(c_37648,plain,
! [X0: $i] :
( s_e(sK1,X0,sK2,s(midpoint(sK5,sK0),X0))
| ~ s_t(sK1,sK0,X0)
| ~ s_t(sK2,sK5,s(midpoint(sK5,sK0),X0)) ),
inference(superposition,[status(thm)],[c_8479,c_34788]) ).
tcf(c_37649,plain,
! [X0: $i] :
( s_e(sK1,s(midpoint(sK0,sK5),X0),sK2,X0)
| ~ s_t(sK2,sK5,X0)
| ~ s_t(sK1,sK0,s(midpoint(sK0,sK5),X0)) ),
inference(superposition,[status(thm)],[c_8606,c_34788]) ).
tcf(c_37650,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,X1,sK2,ext(X0,sK5,sK0,X1))
| ~ s_t(sK1,sK0,X1)
| ~ s_t(sK2,sK5,ext(X0,sK5,sK0,X1)) ),
inference(superposition,[status(thm)],[c_8752,c_34788]) ).
tcf(c_37651,plain,
! [X0: $i] :
( s_e(sK1,s(midpoint(sK5,sK0),X0),sK2,X0)
| ~ s_t(sK2,sK5,X0)
| ~ s_t(sK1,sK0,s(midpoint(sK5,sK0),X0)) ),
inference(superposition,[status(thm)],[c_8766,c_34788]) ).
tcf(c_37652,plain,
( s_e(sK1,sK5,sK2,s(sK5,sK0))
| ~ s_t(sK1,sK0,sK5)
| ~ s_t(sK2,sK5,s(sK5,sK0)) ),
inference(superposition,[status(thm)],[c_8794,c_34788]) ).
tcf(c_37653,plain,
! [X0: $i] :
( s_e(sK1,s(X0,sK5),sK2,s(X0,sK0))
| ~ s_t(sK2,sK5,s(X0,sK0))
| ~ s_t(sK1,sK0,s(X0,sK5)) ),
inference(superposition,[status(thm)],[c_8799,c_34788]) ).
tcf(c_37654,plain,
! [X0: $i] :
( s_e(sK1,X0,sK2,s(midpoint(X0,sK5),sK0))
| ~ s_t(sK1,sK0,X0)
| ~ s_t(sK2,sK5,s(midpoint(X0,sK5),sK0)) ),
inference(superposition,[status(thm)],[c_8800,c_34788]) ).
tcf(c_37655,plain,
( s_e(sK1,sK0,sK2,s(iPr_def_10,sK0))
| ~ s_t(sK1,sK0,sK0)
| ~ s_t(sK2,sK5,s(iPr_def_10,sK0)) ),
inference(superposition,[status(thm)],[c_8801,c_34788]) ).
tcf(c_37656,plain,
( s_e(sK1,sK1,sK2,sK2)
| ~ s_t(sK2,sK5,sK2)
| ~ s_t(sK1,sK0,sK1) ),
inference(superposition,[status(thm)],[c_8853,c_34788]) ).
tcf(c_37657,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,ext(X0,sK0,X1,sK5),sK2,X1)
| ~ s_t(sK2,sK5,X1)
| ~ s_t(sK1,sK0,ext(X0,sK0,X1,sK5)) ),
inference(superposition,[status(thm)],[c_8880,c_34788]) ).
tcf(c_37658,plain,
( s_e(sK1,s(sK0,sK5),sK2,sK0)
| ~ s_t(sK2,sK5,sK0)
| ~ s_t(sK1,sK0,s(sK0,sK5)) ),
inference(superposition,[status(thm)],[c_8889,c_34788]) ).
tcf(c_37659,plain,
( s_e(sK1,midpoint(sK5,sK0),sK2,midpoint(sK5,sK0))
| ~ s_t(sK2,sK5,midpoint(sK5,sK0))
| ~ s_t(sK1,sK0,midpoint(sK5,sK0)) ),
inference(superposition,[status(thm)],[c_8934,c_34788]) ).
tcf(c_37660,plain,
( s_e(sK1,s(iPr_def_10,sK5),sK2,sK5)
| ~ s_t(sK2,sK5,sK5)
| ~ s_t(sK1,sK0,s(iPr_def_10,sK5)) ),
inference(superposition,[status(thm)],[c_9156,c_34788]) ).
tcf(c_37667,plain,
( s_e(sK1,sK0,sK2,sK5)
| ~ s_t(sK2,sK5,sK5)
| ~ s_t(sK1,sK0,sK0) ),
inference(light_normalisation,[status(thm)],[c_37660,c_8235]) ).
tcf(c_37730,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,ext(X0,sK0,X1,sK2),X1,sK5)
| ~ s_t(X1,sK2,sK5)
| ~ s_t(sK1,sK0,ext(X0,sK0,X1,sK2)) ),
inference(superposition,[status(thm)],[c_53,c_35651]) ).
tcf(c_37731,plain,
( s_e(sK1,sK2,sK0,sK5)
| ~ s_t(sK1,sK0,sK2)
| ~ s_t(sK0,sK2,sK5) ),
inference(superposition,[status(thm)],[c_61,c_35651]) ).
tcf(c_37733,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,ins(X0,sK2,sK0,X1),X0,sK5)
| ~ s_t(X0,sK2,sK5)
| ~ le(sK0,X1,X0,sK2)
| ~ s_t(sK1,sK0,ins(X0,sK2,sK0,X1)) ),
inference(superposition,[status(thm)],[c_111,c_35651]) ).
tcf(c_37734,plain,
( s_e(sK1,s(sK0,sK2),sK0,sK5)
| ~ s_t(sK0,sK2,sK5)
| ~ s_t(sK1,sK0,s(sK0,sK2)) ),
inference(superposition,[status(thm)],[c_8183,c_35651]) ).
tcf(c_37735,plain,
! [X0: $i] :
( s_e(sK1,s(X0,sK2),s(X0,sK0),sK5)
| ~ s_t(sK1,sK0,s(X0,sK2))
| ~ s_t(s(X0,sK0),sK2,sK5) ),
inference(superposition,[status(thm)],[c_8413,c_35651]) ).
tcf(c_37736,plain,
( s_e(sK1,sK2,s(sK2,sK0),sK5)
| ~ s_t(sK1,sK0,sK2)
| ~ s_t(s(sK2,sK0),sK2,sK5) ),
inference(superposition,[status(thm)],[c_8414,c_35651]) ).
tcf(c_37737,plain,
! [X0: $i] :
( s_e(sK1,X0,s(midpoint(X0,sK2),sK0),sK5)
| ~ s_t(sK1,sK0,X0)
| ~ s_t(s(midpoint(X0,sK2),sK0),sK2,sK5) ),
inference(superposition,[status(thm)],[c_8415,c_35651]) ).
tcf(c_37738,plain,
( s_e(sK1,sK1,s(iPr_def_11,sK0),sK5)
| ~ s_t(sK1,sK0,sK1)
| ~ s_t(s(iPr_def_11,sK0),sK2,sK5) ),
inference(superposition,[status(thm)],[c_8419,c_35651]) ).
tcf(c_37739,plain,
( s_e(sK1,s(iPr_def_10,sK2),sK5,sK5)
| ~ s_t(sK5,sK2,sK5)
| ~ s_t(sK1,sK0,s(iPr_def_10,sK2)) ),
inference(superposition,[status(thm)],[c_8433,c_35651]) ).
tcf(c_37740,plain,
! [X0: $i] :
( s_e(sK1,s(midpoint(sK0,X0),sK2),X0,sK5)
| ~ s_t(X0,sK2,sK5)
| ~ s_t(sK1,sK0,s(midpoint(sK0,X0),sK2)) ),
inference(superposition,[status(thm)],[c_8606,c_35651]) ).
tcf(c_37741,plain,
! [X0: $i] :
( s_e(sK1,X0,s(midpoint(sK2,X0),sK0),sK5)
| ~ s_t(sK1,sK0,X0)
| ~ s_t(s(midpoint(sK2,X0),sK0),sK2,sK5) ),
inference(superposition,[status(thm)],[c_8726,c_35651]) ).
tcf(c_37742,plain,
! [X0: $i] :
( s_e(sK1,s(midpoint(X0,sK0),sK2),X0,sK5)
| ~ s_t(X0,sK2,sK5)
| ~ s_t(sK1,sK0,s(midpoint(X0,sK0),sK2)) ),
inference(superposition,[status(thm)],[c_8766,c_35651]) ).
tcf(c_37743,plain,
( s_e(sK1,midpoint(sK0,sK2),midpoint(sK0,sK2),sK5)
| ~ s_t(sK1,sK0,midpoint(sK0,sK2))
| ~ s_t(midpoint(sK0,sK2),sK2,sK5) ),
inference(superposition,[status(thm)],[c_8791,c_35651]) ).
tcf(c_37744,plain,
( s_e(sK1,midpoint(sK2,sK0),midpoint(sK2,sK0),sK5)
| ~ s_t(sK1,sK0,midpoint(sK2,sK0))
| ~ s_t(midpoint(sK2,sK0),sK2,sK5) ),
inference(superposition,[status(thm)],[c_8796,c_35651]) ).
tcf(c_37745,plain,
( s_e(sK1,sK1,sK5,sK5)
| ~ s_t(sK5,sK2,sK5)
| ~ s_t(sK1,sK0,sK1) ),
inference(superposition,[status(thm)],[c_8853,c_35651]) ).
tcf(c_37746,plain,
! [X0: $i] :
( s_e(sK1,X0,s(midpoint(sK0,sK2),X0),sK5)
| ~ s_t(sK1,sK0,X0)
| ~ s_t(s(midpoint(sK0,sK2),X0),sK2,sK5) ),
inference(superposition,[status(thm)],[c_8873,c_35651]) ).
tcf(c_37747,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,ext(X0,sK0,sK2,X1),X1,sK5)
| ~ s_t(X1,sK2,sK5)
| ~ s_t(sK1,sK0,ext(X0,sK0,sK2,X1)) ),
inference(superposition,[status(thm)],[c_8880,c_35651]) ).
tcf(c_37926,plain,
( s_e(sK1,sK5,sK2,sK0)
| ~ s_t(sK2,sK0,sK5)
| ~ s_t(sK1,sK5,sK0) ),
inference(superposition,[status(thm)],[c_49,c_36575]) ).
tcf(c_37928,plain,
( s_e(sK1,sK1,sK2,sK2)
| ~ s_t(sK2,sK2,sK5)
| ~ s_t(sK1,sK1,sK0) ),
inference(superposition,[status(thm)],[c_5721,c_36575]) ).
tcf(c_37929,plain,
( s_e(sK1,midpoint(sK0,sK5),sK2,midpoint(sK0,sK5))
| ~ s_t(sK2,midpoint(sK0,sK5),sK5)
| ~ s_t(sK1,midpoint(sK0,sK5),sK0) ),
inference(superposition,[status(thm)],[c_1804,c_36575]) ).
tcf(c_37930,plain,
( s_e(sK1,iPr_def_10,sK2,iPr_def_10)
| ~ s_t(sK2,iPr_def_10,sK5)
| ~ s_t(sK1,iPr_def_10,sK0) ),
inference(superposition,[status(thm)],[c_8164,c_36575]) ).
tcf(c_37931,plain,
( s_e(sK1,midpoint(sK5,sK0),sK2,midpoint(sK5,sK0))
| ~ s_t(sK2,midpoint(sK5,sK0),sK5)
| ~ s_t(sK1,midpoint(sK5,sK0),sK0) ),
inference(superposition,[status(thm)],[c_8226,c_36575]) ).
tcf(c_37932,plain,
! [X0: $i] :
( s_e(sK1,X0,sK2,s(midpoint(sK0,sK5),X0))
| ~ s_t(sK1,X0,sK0)
| ~ s_t(sK2,s(midpoint(sK0,sK5),X0),sK5) ),
inference(superposition,[status(thm)],[c_8415,c_36575]) ).
tcf(c_37933,plain,
! [X0: $i] :
( s_e(sK1,X0,sK2,s(iPr_def_10,X0))
| ~ s_t(sK1,X0,sK0)
| ~ s_t(sK2,s(iPr_def_10,X0),sK5) ),
inference(superposition,[status(thm)],[c_8416,c_36575]) ).
tcf(c_37934,plain,
! [X0: $i] :
( s_e(sK1,s(iPr_def_10,X0),sK2,X0)
| ~ s_t(sK2,X0,sK5)
| ~ s_t(sK1,s(iPr_def_10,X0),sK0) ),
inference(superposition,[status(thm)],[c_8462,c_36575]) ).
tcf(c_37935,plain,
! [X0: $i] :
( s_e(sK1,s(midpoint(sK0,sK5),X0),sK2,X0)
| ~ s_t(sK2,X0,sK5)
| ~ s_t(sK1,s(midpoint(sK0,sK5),X0),sK0) ),
inference(superposition,[status(thm)],[c_8486,c_36575]) ).
tcf(c_37936,plain,
! [X0: $i] :
( s_e(sK1,X0,sK2,s(midpoint(sK5,sK0),X0))
| ~ s_t(sK1,X0,sK0)
| ~ s_t(sK2,s(midpoint(sK5,sK0),X0),sK5) ),
inference(superposition,[status(thm)],[c_8726,c_36575]) ).
tcf(c_37937,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,ext(X0,sK0,X1,sK5),sK2,X1)
| ~ s_t(sK2,X1,sK5)
| ~ s_t(sK1,ext(X0,sK0,X1,sK5),sK0) ),
inference(superposition,[status(thm)],[c_8786,c_36575]) ).
tcf(c_37938,plain,
( s_e(sK1,s(sK0,sK5),sK2,sK0)
| ~ s_t(sK2,sK0,sK5)
| ~ s_t(sK1,s(sK0,sK5),sK0) ),
inference(superposition,[status(thm)],[c_8795,c_36575]) ).
tcf(c_37939,plain,
! [X0: $i] :
( s_e(sK1,s(X0,sK5),sK2,s(X0,sK0))
| ~ s_t(sK2,s(X0,sK0),sK5)
| ~ s_t(sK1,s(X0,sK5),sK0) ),
inference(superposition,[status(thm)],[c_8805,c_36575]) ).
tcf(c_37940,plain,
( s_e(sK1,sK5,sK2,s(sK5,sK0))
| ~ s_t(sK1,sK5,sK0)
| ~ s_t(sK2,s(sK5,sK0),sK5) ),
inference(superposition,[status(thm)],[c_8806,c_36575]) ).
tcf(c_37941,plain,
( s_e(sK1,sK0,sK2,s(iPr_def_10,sK0))
| ~ s_t(sK1,sK0,sK0)
| ~ s_t(sK2,s(iPr_def_10,sK0),sK5) ),
inference(superposition,[status(thm)],[c_8807,c_36575]) ).
tcf(c_37942,plain,
! [X0: $i] :
( s_e(sK1,X0,sK2,s(midpoint(X0,sK5),sK0))
| ~ s_t(sK1,X0,sK0)
| ~ s_t(sK2,s(midpoint(X0,sK5),sK0),sK5) ),
inference(superposition,[status(thm)],[c_8873,c_36575]) ).
tcf(c_37943,plain,
! [X0: $i] :
( s_e(sK1,s(midpoint(sK5,sK0),X0),sK2,X0)
| ~ s_t(sK2,X0,sK5)
| ~ s_t(sK1,s(midpoint(sK5,sK0),X0),sK0) ),
inference(superposition,[status(thm)],[c_8874,c_36575]) ).
tcf(c_37944,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,ext(X0,sK0,sK5,X1),sK2,X1)
| ~ s_t(sK2,X1,sK5)
| ~ s_t(sK1,ext(X0,sK0,sK5,X1),sK0) ),
inference(superposition,[status(thm)],[c_8924,c_36575]) ).
tcf(c_37945,plain,
( s_e(sK1,s(iPr_def_10,sK5),sK2,sK5)
| ~ s_t(sK2,sK5,sK5)
| ~ s_t(sK1,s(iPr_def_10,sK5),sK0) ),
inference(superposition,[status(thm)],[c_9157,c_36575]) ).
tcf(c_38002,plain,
( le(sK5,iPr_def_10,sK1,sK0)
| le(sK2,sK5,iPr_def_10,sK0) ),
inference(superposition,[status(thm)],[c_118,c_30706]) ).
tcf(c_38010,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_11,X0),X1,sK1,X2)
| ~ s_t(sK1,X2,X0)
| ~ s_e(X1,sK2,X2,X0)
| ~ s_t(s(iPr_def_11,X0),X1,sK2) ),
inference(superposition,[status(thm)],[c_9347,c_90]) ).
tcf(c_38011,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_11,X0),X1,X2,X0)
| ~ s_t(X2,sK1,X0)
| ~ s_e(sK2,X1,X2,sK1)
| ~ s_t(s(iPr_def_11,X0),sK2,X1) ),
inference(superposition,[status(thm)],[c_9347,c_71]) ).
tcf(c_38012,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_11,X0),X1,sK1,X2)
| ~ s_t(sK1,X0,X2)
| ~ s_e(sK2,X1,X0,X2)
| ~ s_t(s(iPr_def_11,X0),sK2,X1) ),
inference(superposition,[status(thm)],[c_9347,c_67]) ).
tcf(c_38013,plain,
! [X0: $i] :
( le(sK2,sK5,sK1,X0)
| ~ le(sK1,sK0,s(iPr_def_11,X0),sK2) ),
inference(superposition,[status(thm)],[c_9347,c_29617]) ).
tcf(c_38014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( le(sK1,X0,X3,X4)
| ~ s_e(X1,X2,X3,X4)
| ~ le(s(iPr_def_11,X0),sK2,X1,X2) ),
inference(superposition,[status(thm)],[c_9347,c_114]) ).
tcf(c_38015,plain,
! [X0: $i,X1: $i] :
( s_t(sK1,ext(ext(X0,sK1,alpha,gamma),sK1,s(iPr_def_11,X0),X1),X0)
| ~ s_t(s(iPr_def_11,X0),X1,sK2) ),
inference(superposition,[status(thm)],[c_9347,c_91]) ).
tcf(c_38016,plain,
! [X0: $i,X1: $i] :
( ( s(iPr_def_11,X1) = X0 )
| ( ext(X0,s(iPr_def_11,X1),sK1,X1) = sK2 )
| ~ s_t(X0,s(iPr_def_11,X1),sK2) ),
inference(superposition,[status(thm)],[c_9347,c_68]) ).
tcf(c_38019,plain,
! [X0: $i,X1: $i] :
( le(s(iPr_def_11,X0),sK2,sK1,X1)
| ~ s_t(sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_9347,c_261]) ).
tcf(c_38020,plain,
! [X0: $i,X1: $i] :
( le(s(iPr_def_11,X0),X1,sK1,X0)
| ~ s_t(s(iPr_def_11,X0),X1,sK2) ),
inference(superposition,[status(thm)],[c_9347,c_113]) ).
tcf(c_38075,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_38076,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_38077,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| s_col(foot(X0,X1,X4),X2,X3)
| ( X0 = X1 )
| ( foot(X0,X1,X4) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_209,c_151]) ).
tcf(c_38078,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| s_col(erectAux21a(X0,X1,X4),X2,X3)
| ( X0 = X1 )
| ( erectAux21a(X0,X1,X4) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_216,c_151]) ).
tcf(c_38079,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(erectAux(X0,X1,X4),X2,X3)
| ( X0 = X1 )
| ( erectAux(X0,X1,X4) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_219,c_151]) ).
tcf(c_38080,plain,
! [X0: $i,X1: $i] :
( s_col(sK4,X0,X1)
| ( sK1 = sK2 )
| ( X0 = sK4 )
| ~ s_col(sK1,sK2,X1)
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_5724,c_151]) ).
tcf(c_38081,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_8255,c_151]) ).
tcf(c_38082,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,X0,X1)
| ( sK2 = sK4 )
| ( X0 = sK1 )
| ~ s_col(sK2,sK4,X1)
| ~ s_col(sK2,sK4,X0) ),
inference(superposition,[status(thm)],[c_8256,c_151]) ).
tcf(c_38083,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,X0,X1)
| ( sK1 = sK4 )
| ( X0 = sK2 )
| ~ s_col(sK4,sK1,X1)
| ~ s_col(sK4,sK1,X0) ),
inference(superposition,[status(thm)],[c_8263,c_151]) ).
tcf(c_38084,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,X0,X1)
| ( sK2 = sK4 )
| ( X0 = sK1 )
| ~ s_col(sK4,sK2,X1)
| ~ s_col(sK4,sK2,X0) ),
inference(superposition,[status(thm)],[c_8270,c_151]) ).
tcf(c_38085,plain,
! [X0: $i,X1: $i] :
( s_col(sK4,X0,X1)
| ( sK1 = sK2 )
| ( X0 = sK4 )
| ~ s_col(sK2,sK1,X1)
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_8277,c_151]) ).
tcf(c_38086,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,X0,X1)
| ( sK1 = sK4 )
| ( X0 = sK2 )
| ~ s_col(sK1,sK4,X1)
| ~ s_col(sK1,sK4,X0) ),
inference(superposition,[status(thm)],[c_8283,c_151]) ).
tcf(c_38087,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,X0,X1)
| ( sK0 = sK4 )
| ( X0 = sK3 )
| ~ s_col(sK0,sK4,X1)
| ~ s_col(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_8511,c_151]) ).
tcf(c_38088,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,X0,X1)
| ( sK2 = sK5 )
| ( X0 = sK3 )
| ~ s_col(sK2,sK5,X1)
| ~ s_col(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_8512,c_151]) ).
tcf(c_38089,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| ( X1 = X2 )
| ( midpoint(X0,X1) = X0 )
| ~ s_col(X0,midpoint(X0,X1),X3)
| ~ s_col(X0,midpoint(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_8513,c_151]) ).
tcf(c_38090,plain,
! [X0: $i,X1: $i] :
( s_col(sK5,X0,X1)
| ( sK0 = iPr_def_10 )
| ( X0 = sK5 )
| ~ s_col(sK0,iPr_def_10,X1)
| ~ s_col(sK0,iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_8514,c_151]) ).
tcf(c_38091,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,X0,X1)
| ( sK2 = iPr_def_11 )
| ( X0 = sK1 )
| ~ s_col(sK2,iPr_def_11,X1)
| ~ s_col(sK2,iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_8515,c_151]) ).
tcf(c_38092,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_8516,c_151]) ).
tcf(c_38093,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_8517,c_151]) ).
tcf(c_38094,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,X0,X1)
| ( sK3 = sK4 )
| ( X0 = sK0 )
| ~ s_col(sK3,sK4,X1)
| ~ s_col(sK3,sK4,X0) ),
inference(superposition,[status(thm)],[c_8518,c_151]) ).
tcf(c_38095,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,X0,X1)
| ( sK3 = sK5 )
| ( X0 = sK2 )
| ~ s_col(sK3,sK5,X1)
| ~ s_col(sK3,sK5,X0) ),
inference(superposition,[status(thm)],[c_8519,c_151]) ).
tcf(c_38096,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| ( X1 = X2 )
| ( midpoint(X1,X0) = X0 )
| ~ s_col(X0,midpoint(X1,X0),X3)
| ~ s_col(X0,midpoint(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_8520,c_151]) ).
tcf(c_38097,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,X0,X1)
| ( sK5 = iPr_def_10 )
| ( X0 = sK0 )
| ~ s_col(sK5,iPr_def_10,X1)
| ~ s_col(sK5,iPr_def_10,X0) ),
inference(superposition,[status(thm)],[c_8521,c_151]) ).
tcf(c_38098,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,X0,X1)
| ( sK1 = iPr_def_11 )
| ( X0 = sK2 )
| ~ s_col(sK1,iPr_def_11,X1)
| ~ s_col(sK1,iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_8522,c_151]) ).
tcf(c_38099,plain,
! [X0: $i,X1: $i] :
( s_col(sK4,X0,X1)
| ( sK0 = sK3 )
| ( X0 = sK4 )
| ~ s_col(sK3,sK0,X1)
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_8534,c_151]) ).
tcf(c_38100,plain,
! [X0: $i,X1: $i] :
( s_col(sK5,X0,X1)
| ( sK2 = sK3 )
| ( X0 = sK5 )
| ~ s_col(sK3,sK2,X1)
| ~ s_col(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_8535,c_151]) ).
tcf(c_38101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(midpoint(X1,X0),X2,X3)
| ( X0 = X1 )
| ( midpoint(X1,X0) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8536,c_151]) ).
tcf(c_38102,plain,
! [X0: $i,X1: $i] :
( s_col(iPr_def_10,X0,X1)
| ( sK0 = sK5 )
| ( X0 = iPr_def_10 )
| ~ s_col(sK5,sK0,X1)
| ~ s_col(sK5,sK0,X0) ),
inference(superposition,[status(thm)],[c_8537,c_151]) ).
tcf(c_38103,plain,
! [X0: $i,X1: $i] :
( s_col(iPr_def_11,X0,X1)
| ( sK1 = sK2 )
| ( X0 = iPr_def_11 )
| ~ s_col(sK1,sK2,X1)
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_8538,c_151]) ).
tcf(c_38104,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_8539,c_151]) ).
tcf(c_38105,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_8540,c_151]) ).
tcf(c_38106,plain,
! [X0: $i,X1: $i] :
( s_col(sK4,X0,X1)
| ( sK0 = sK3 )
| ( X0 = sK4 )
| ~ s_col(sK0,sK3,X1)
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_8541,c_151]) ).
tcf(c_38107,plain,
! [X0: $i,X1: $i] :
( s_col(sK5,X0,X1)
| ( sK2 = sK3 )
| ( X0 = sK5 )
| ~ s_col(sK2,sK3,X1)
| ~ s_col(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_8542,c_151]) ).
tcf(c_38108,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(midpoint(X0,X1),X2,X3)
| ( X0 = X1 )
| ( midpoint(X0,X1) = X2 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8543,c_151]) ).
tcf(c_38109,plain,
! [X0: $i,X1: $i] :
( s_col(iPr_def_10,X0,X1)
| ( sK0 = sK5 )
| ( X0 = iPr_def_10 )
| ~ s_col(sK0,sK5,X1)
| ~ s_col(sK0,sK5,X0) ),
inference(superposition,[status(thm)],[c_8544,c_151]) ).
tcf(c_38110,plain,
! [X0: $i,X1: $i] :
( s_col(iPr_def_11,X0,X1)
| ( sK1 = sK2 )
| ( X0 = iPr_def_11 )
| ~ s_col(sK2,sK1,X1)
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_8545,c_151]) ).
tcf(c_38111,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,X0,X1)
| ( sK0 = sK4 )
| ( X0 = sK3 )
| ~ s_col(sK4,sK0,X1)
| ~ s_col(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_8552,c_151]) ).
tcf(c_38112,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,X0,X1)
| ( sK3 = sK4 )
| ( X0 = sK0 )
| ~ s_col(sK4,sK3,X1)
| ~ s_col(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_8555,c_151]) ).
tcf(c_38113,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,X0,X1)
| ( sK2 = sK5 )
| ( X0 = sK3 )
| ~ s_col(sK5,sK2,X1)
| ~ s_col(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_8557,c_151]) ).
tcf(c_38114,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,X0,X1)
| ( sK3 = sK5 )
| ( X0 = sK2 )
| ~ s_col(sK5,sK3,X1)
| ~ s_col(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_8560,c_151]) ).
tcf(c_38115,plain,
! [X0: $i,X1: $i] :
( s_col(sK5,X0,X1)
| ( sK0 = iPr_def_10 )
| ( X0 = sK5 )
| ~ s_col(iPr_def_10,sK0,X1)
| ~ s_col(iPr_def_10,sK0,X0) ),
inference(superposition,[status(thm)],[c_8562,c_151]) ).
tcf(c_38116,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,X0,X1)
| ( sK5 = iPr_def_10 )
| ( X0 = sK0 )
| ~ s_col(iPr_def_10,sK5,X1)
| ~ s_col(iPr_def_10,sK5,X0) ),
inference(superposition,[status(thm)],[c_8565,c_151]) ).
tcf(c_38117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X2,X3)
| ( X0 = X2 )
| ( midpoint(X0,X1) = X1 )
| ~ s_col(midpoint(X0,X1),X1,X3)
| ~ s_col(midpoint(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_8631,c_151]) ).
tcf(c_38118,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,X0,X1)
| ( sK1 = iPr_def_11 )
| ( X0 = sK2 )
| ~ s_col(iPr_def_11,sK1,X1)
| ~ s_col(iPr_def_11,sK1,X0) ),
inference(superposition,[status(thm)],[c_8633,c_151]) ).
tcf(c_38119,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_8634,c_151]) ).
tcf(c_38120,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_8635,c_151]) ).
tcf(c_38121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X2,X3)
| ( X1 = X2 )
| ( midpoint(X0,X1) = X0 )
| ~ s_col(midpoint(X0,X1),X0,X3)
| ~ s_col(midpoint(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_8638,c_151]) ).
tcf(c_38122,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,X0,X1)
| ( sK2 = iPr_def_11 )
| ( X0 = sK1 )
| ~ s_col(iPr_def_11,sK2,X1)
| ~ s_col(iPr_def_11,sK2,X0) ),
inference(superposition,[status(thm)],[c_8640,c_151]) ).
tcf(c_38123,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,X0,X1)
| ( X0 = sK0 )
| ( midpoint(sK3,sK4) = sK4 )
| ~ s_col(sK4,midpoint(sK3,sK4),X1)
| ~ s_col(sK4,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_11190,c_151]) ).
tcf(c_38124,plain,
! [X0: $i,X1: $i] :
( s_col(sK4,X0,X1)
| ( X0 = sK4 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_col(midpoint(sK3,sK4),sK0,X1)
| ~ s_col(midpoint(sK3,sK4),sK0,X0) ),
inference(superposition,[status(thm)],[c_11191,c_151]) ).
tcf(c_38125,plain,
! [X0: $i,X1: $i] :
( s_col(midpoint(sK3,sK4),X0,X1)
| ( sK0 = sK4 )
| ( midpoint(sK3,sK4) = X0 )
| ~ s_col(sK0,sK4,X1)
| ~ s_col(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_11192,c_151]) ).
tcf(c_38126,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,X0,X1)
| ( X0 = sK2 )
| ( midpoint(sK3,sK5) = sK5 )
| ~ s_col(sK5,midpoint(sK3,sK5),X1)
| ~ s_col(sK5,midpoint(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_11219,c_151]) ).
tcf(c_38127,plain,
! [X0: $i,X1: $i] :
( s_col(sK5,X0,X1)
| ( X0 = sK5 )
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_col(midpoint(sK3,sK5),sK2,X1)
| ~ s_col(midpoint(sK3,sK5),sK2,X0) ),
inference(superposition,[status(thm)],[c_11220,c_151]) ).
tcf(c_38128,plain,
! [X0: $i,X1: $i] :
( s_col(midpoint(sK3,sK5),X0,X1)
| ( sK2 = sK5 )
| ( midpoint(sK3,sK5) = X0 )
| ~ s_col(sK2,sK5,X1)
| ~ s_col(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_11221,c_151]) ).
tcf(c_38129,plain,
! [X0: $i,X1: $i] :
( s_col(sK4,X0,X1)
| ( X0 = sK4 )
| ( s(sK3,sK0) = sK3 )
| ~ s_col(sK3,s(sK3,sK0),X1)
| ~ s_col(sK3,s(sK3,sK0),X0) ),
inference(superposition,[status(thm)],[c_11251,c_151]) ).
tcf(c_38130,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,X0,X1)
| ( X0 = sK3 )
| ( s(sK3,sK0) = sK4 )
| ~ s_col(s(sK3,sK0),sK4,X1)
| ~ s_col(s(sK3,sK0),sK4,X0) ),
inference(superposition,[status(thm)],[c_11252,c_151]) ).
tcf(c_38131,plain,
! [X0: $i,X1: $i] :
( s_col(s(sK3,sK0),X0,X1)
| ( sK3 = sK4 )
| ( s(sK3,sK0) = X0 )
| ~ s_col(sK4,sK3,X1)
| ~ s_col(sK4,sK3,X0) ),
inference(superposition,[status(thm)],[c_11253,c_151]) ).
tcf(c_38132,plain,
! [X0: $i,X1: $i] :
( s_col(sK5,X0,X1)
| ( X0 = sK5 )
| ( s(sK3,sK2) = sK3 )
| ~ s_col(sK3,s(sK3,sK2),X1)
| ~ s_col(sK3,s(sK3,sK2),X0) ),
inference(superposition,[status(thm)],[c_11283,c_151]) ).
tcf(c_38133,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,X0,X1)
| ( X0 = sK3 )
| ( s(sK3,sK2) = sK5 )
| ~ s_col(s(sK3,sK2),sK5,X1)
| ~ s_col(s(sK3,sK2),sK5,X0) ),
inference(superposition,[status(thm)],[c_11284,c_151]) ).
tcf(c_38134,plain,
! [X0: $i,X1: $i] :
( s_col(s(sK3,sK2),X0,X1)
| ( sK3 = sK5 )
| ( s(sK3,sK2) = X0 )
| ~ s_col(sK5,sK3,X1)
| ~ s_col(sK5,sK3,X0) ),
inference(superposition,[status(thm)],[c_11285,c_151]) ).
tcf(c_38135,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,X0,X1)
| ( X0 = sK0 )
| ( midpoint(sK3,sK4) = sK3 )
| ~ s_col(midpoint(sK3,sK4),sK3,X1)
| ~ s_col(midpoint(sK3,sK4),sK3,X0) ),
inference(superposition,[status(thm)],[c_11312,c_151]) ).
tcf(c_38136,plain,
! [X0: $i,X1: $i] :
( s_col(midpoint(sK3,sK4),X0,X1)
| ( sK0 = sK3 )
| ( midpoint(sK3,sK4) = X0 )
| ~ s_col(sK3,sK0,X1)
| ~ s_col(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_11313,c_151]) ).
tcf(c_38137,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,X0,X1)
| ( X0 = sK3 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_col(sK0,midpoint(sK3,sK4),X1)
| ~ s_col(sK0,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_11314,c_151]) ).
tcf(c_38138,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,X0,X1)
| ( X0 = sK2 )
| ( midpoint(sK3,sK5) = sK3 )
| ~ s_col(midpoint(sK3,sK5),sK3,X1)
| ~ s_col(midpoint(sK3,sK5),sK3,X0) ),
inference(superposition,[status(thm)],[c_11345,c_151]) ).
tcf(c_38139,plain,
! [X0: $i,X1: $i] :
( s_col(midpoint(sK3,sK5),X0,X1)
| ( sK2 = sK3 )
| ( midpoint(sK3,sK5) = X0 )
| ~ s_col(sK3,sK2,X1)
| ~ s_col(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_11346,c_151]) ).
tcf(c_38140,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,X0,X1)
| ( X0 = sK3 )
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_col(sK2,midpoint(sK3,sK5),X1)
| ~ s_col(sK2,midpoint(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_11347,c_151]) ).
tcf(c_38141,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,X0,X1)
| ( X0 = sK0 )
| ( s(sK3,sK0) = sK4 )
| ~ s_col(sK4,s(sK3,sK0),X1)
| ~ s_col(sK4,s(sK3,sK0),X0) ),
inference(superposition,[status(thm)],[c_11373,c_151]) ).
tcf(c_38142,plain,
! [X0: $i,X1: $i] :
( s_col(sK4,X0,X1)
| ( X0 = sK4 )
| ( s(sK3,sK0) = sK0 )
| ~ s_col(s(sK3,sK0),sK0,X1)
| ~ s_col(s(sK3,sK0),sK0,X0) ),
inference(superposition,[status(thm)],[c_11374,c_151]) ).
tcf(c_38143,plain,
! [X0: $i,X1: $i] :
( s_col(s(sK3,sK0),X0,X1)
| ( sK0 = sK4 )
| ( s(sK3,sK0) = X0 )
| ~ s_col(sK0,sK4,X1)
| ~ s_col(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_11375,c_151]) ).
tcf(c_38144,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,X0,X1)
| ( X0 = sK2 )
| ( s(sK3,sK2) = sK5 )
| ~ s_col(sK5,s(sK3,sK2),X1)
| ~ s_col(sK5,s(sK3,sK2),X0) ),
inference(superposition,[status(thm)],[c_11405,c_151]) ).
tcf(c_38145,plain,
! [X0: $i,X1: $i] :
( s_col(sK5,X0,X1)
| ( X0 = sK5 )
| ( s(sK3,sK2) = sK2 )
| ~ s_col(s(sK3,sK2),sK2,X1)
| ~ s_col(s(sK3,sK2),sK2,X0) ),
inference(superposition,[status(thm)],[c_11406,c_151]) ).
tcf(c_38146,plain,
! [X0: $i,X1: $i] :
( s_col(s(sK3,sK2),X0,X1)
| ( sK2 = sK5 )
| ( s(sK3,sK2) = X0 )
| ~ s_col(sK2,sK5,X1)
| ~ s_col(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_11407,c_151]) ).
tcf(c_38147,plain,
! [X0: $i,X1: $i] :
( s_col(midpoint(sK3,sK4),X0,X1)
| ( sK0 = sK4 )
| ( midpoint(sK3,sK4) = X0 )
| ~ s_col(sK4,sK0,X1)
| ~ s_col(sK4,sK0,X0) ),
inference(superposition,[status(thm)],[c_11739,c_151]) ).
tcf(c_38148,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,X0,X1)
| ( X0 = sK0 )
| ( midpoint(sK3,sK4) = sK4 )
| ~ s_col(midpoint(sK3,sK4),sK4,X1)
| ~ s_col(midpoint(sK3,sK4),sK4,X0) ),
inference(superposition,[status(thm)],[c_11740,c_151]) ).
tcf(c_38149,plain,
! [X0: $i,X1: $i] :
( s_col(sK4,X0,X1)
| ( X0 = sK4 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_col(sK0,midpoint(sK3,sK4),X1)
| ~ s_col(sK0,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_11741,c_151]) ).
tcf(c_38150,plain,
! [X0: $i,X1: $i] :
( s_col(midpoint(sK3,sK5),X0,X1)
| ( sK2 = sK5 )
| ( midpoint(sK3,sK5) = X0 )
| ~ s_col(sK5,sK2,X1)
| ~ s_col(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_12795,c_151]) ).
tcf(c_38151,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,X0,X1)
| ( X0 = sK2 )
| ( midpoint(sK3,sK5) = sK5 )
| ~ s_col(midpoint(sK3,sK5),sK5,X1)
| ~ s_col(midpoint(sK3,sK5),sK5,X0) ),
inference(superposition,[status(thm)],[c_12796,c_151]) ).
tcf(c_38152,plain,
! [X0: $i,X1: $i] :
( s_col(sK5,X0,X1)
| ( X0 = sK5 )
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_col(sK2,midpoint(sK3,sK5),X1)
| ~ s_col(sK2,midpoint(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_12797,c_151]) ).
tcf(c_38153,plain,
! [X0: $i,X1: $i] :
( s_col(s(sK3,sK0),X0,X1)
| ( sK3 = sK4 )
| ( s(sK3,sK0) = X0 )
| ~ s_col(sK3,sK4,X1)
| ~ s_col(sK3,sK4,X0) ),
inference(superposition,[status(thm)],[c_15258,c_151]) ).
tcf(c_38154,plain,
! [X0: $i,X1: $i] :
( s_col(sK4,X0,X1)
| ( X0 = sK4 )
| ( s(sK3,sK0) = sK3 )
| ~ s_col(s(sK3,sK0),sK3,X1)
| ~ s_col(s(sK3,sK0),sK3,X0) ),
inference(superposition,[status(thm)],[c_15259,c_151]) ).
tcf(c_38155,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,X0,X1)
| ( X0 = sK3 )
| ( s(sK3,sK0) = sK4 )
| ~ s_col(sK4,s(sK3,sK0),X1)
| ~ s_col(sK4,s(sK3,sK0),X0) ),
inference(superposition,[status(thm)],[c_15260,c_151]) ).
tcf(c_38156,plain,
! [X0: $i,X1: $i] :
( s_col(s(sK3,sK2),X0,X1)
| ( sK3 = sK5 )
| ( s(sK3,sK2) = X0 )
| ~ s_col(sK3,sK5,X1)
| ~ s_col(sK3,sK5,X0) ),
inference(superposition,[status(thm)],[c_15811,c_151]) ).
tcf(c_38157,plain,
! [X0: $i,X1: $i] :
( s_col(sK5,X0,X1)
| ( X0 = sK5 )
| ( s(sK3,sK2) = sK3 )
| ~ s_col(s(sK3,sK2),sK3,X1)
| ~ s_col(s(sK3,sK2),sK3,X0) ),
inference(superposition,[status(thm)],[c_15812,c_151]) ).
tcf(c_38158,plain,
! [X0: $i,X1: $i] :
( s_col(iPr_def_11,X0,X1)
| ( sK1 = sK4 )
| ( sK1 = sK2 )
| ( X0 = iPr_def_11 )
| ~ s_col(sK1,sK4,X1)
| ~ s_col(sK1,sK4,X0) ),
inference(superposition,[status(thm)],[c_27963,c_151]) ).
tcf(c_38965,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_38966,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_38967,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_38969,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_38970,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_38971,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_38972,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,X0,sK5,X1)
| ~ sameside(sK5,sK2,X1)
| ~ sameside(sK0,sK1,X0)
| ~ s_e(sK1,X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_5721,c_154]) ).
tcf(c_38973,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_277,c_154]) ).
tcf(c_38974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X2,X1,X3)
| ~ sameside(X1,midpoint(X0,X1),X3)
| ~ sameside(X0,midpoint(X0,X1),X2)
| ~ s_e(midpoint(X0,X1),X2,midpoint(X0,X1),X3) ),
inference(superposition,[status(thm)],[c_1804,c_154]) ).
tcf(c_38975,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,X0,sK5,X1)
| ~ sameside(sK5,iPr_def_10,X1)
| ~ sameside(sK0,iPr_def_10,X0)
| ~ s_e(iPr_def_10,X0,iPr_def_10,X1) ),
inference(superposition,[status(thm)],[c_8164,c_154]) ).
tcf(c_38976,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,sK1,X1)
| ~ sameside(sK2,iPr_def_11,X0)
| ~ sameside(sK1,iPr_def_11,X1)
| ~ s_e(iPr_def_11,X0,iPr_def_11,X1) ),
inference(superposition,[status(thm)],[c_8166,c_154]) ).
tcf(c_38977,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_8176,c_154]) ).
tcf(c_38978,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_8183,c_154]) ).
tcf(c_38979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X2,X0,X3)
| ~ sameside(X1,midpoint(X0,X1),X2)
| ~ sameside(X0,midpoint(X0,X1),X3)
| ~ s_e(midpoint(X0,X1),X2,midpoint(X0,X1),X3) ),
inference(superposition,[status(thm)],[c_8226,c_154]) ).
tcf(c_38980,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X0,sK0,X1)
| ~ sameside(sK5,iPr_def_10,X0)
| ~ sameside(sK0,iPr_def_10,X1)
| ~ s_e(iPr_def_10,X0,iPr_def_10,X1) ),
inference(superposition,[status(thm)],[c_8232,c_154]) ).
tcf(c_38981,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,X0,sK2,X1)
| ~ sameside(sK2,iPr_def_11,X1)
| ~ sameside(sK1,iPr_def_11,X0)
| ~ s_e(iPr_def_11,X0,iPr_def_11,X1) ),
inference(superposition,[status(thm)],[c_8238,c_154]) ).
tcf(c_38982,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_8406,c_154]) ).
tcf(c_38983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X4,s(midpoint(X0,X1),X2),X3)
| ~ sameside(X2,X0,X4)
| ~ s_e(X0,X4,X1,X3)
| ~ sameside(s(midpoint(X0,X1),X2),X1,X3) ),
inference(superposition,[status(thm)],[c_8408,c_154]) ).
tcf(c_38984,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,s(iPr_def_10,X0),X1)
| ~ sameside(X0,sK0,X2)
| ~ s_e(sK0,X2,sK5,X1)
| ~ sameside(s(iPr_def_10,X0),sK5,X1) ),
inference(superposition,[status(thm)],[c_8409,c_154]) ).
tcf(c_38985,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,s(iPr_def_11,X0),X1)
| ~ sameside(X0,sK2,X2)
| ~ s_e(sK2,X2,sK1,X1)
| ~ sameside(s(iPr_def_11,X0),sK1,X1) ),
inference(superposition,[status(thm)],[c_8410,c_154]) ).
tcf(c_38986,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,s(iPr_def_10,X0),X1)
| ~ sameside(X0,sK5,X2)
| ~ s_e(sK5,X2,sK0,X1)
| ~ sameside(s(iPr_def_10,X0),sK0,X1) ),
inference(superposition,[status(thm)],[c_8411,c_154]) ).
tcf(c_38987,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X0,X2,s(iPr_def_11,X0),X1)
| ~ sameside(X0,sK1,X2)
| ~ s_e(sK1,X2,sK2,X1)
| ~ sameside(s(iPr_def_11,X0),sK2,X1) ),
inference(superposition,[status(thm)],[c_8412,c_154]) ).
tcf(c_38988,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_8413,c_154]) ).
tcf(c_38989,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_8414,c_154]) ).
tcf(c_38990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X1,X3,X4)
| ~ sameside(X2,X0,X1)
| ~ sameside(X3,s(midpoint(X2,X3),X0),X4)
| ~ s_e(X0,X1,s(midpoint(X2,X3),X0),X4) ),
inference(superposition,[status(thm)],[c_8415,c_154]) ).
tcf(c_38991,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK0,X1,sK5,X2)
| ~ sameside(sK0,X0,X1)
| ~ sameside(sK5,s(iPr_def_10,X0),X2)
| ~ s_e(X0,X1,s(iPr_def_10,X0),X2) ),
inference(superposition,[status(thm)],[c_8416,c_154]) ).
tcf(c_38992,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X1,sK1,X2)
| ~ sameside(sK2,X0,X1)
| ~ sameside(sK1,s(iPr_def_11,X0),X2)
| ~ s_e(X0,X1,s(iPr_def_11,X0),X2) ),
inference(superposition,[status(thm)],[c_8417,c_154]) ).
tcf(c_38993,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,X1,sK0,X2)
| ~ sameside(sK5,X0,X1)
| ~ sameside(sK0,s(iPr_def_10,X0),X2)
| ~ s_e(X0,X1,s(iPr_def_10,X0),X2) ),
inference(superposition,[status(thm)],[c_8418,c_154]) ).
tcf(c_38994,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK1,X1,sK2,X2)
| ~ sameside(sK1,X0,X1)
| ~ sameside(sK2,s(iPr_def_11,X0),X2)
| ~ s_e(X0,X1,s(iPr_def_11,X0),X2) ),
inference(superposition,[status(thm)],[c_8419,c_154]) ).
tcf(c_38995,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_10,X0),X1,X0,X2)
| ~ sameside(X0,sK5,X2)
| ~ s_e(sK0,X1,sK5,X2)
| ~ sameside(s(iPr_def_10,X0),sK0,X1) ),
inference(superposition,[status(thm)],[c_8433,c_154]) ).
tcf(c_38996,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_10,X0,iPr_def_10,X1)
| ~ sameside(iPr_def_10,sK5,X1)
| ~ sameside(iPr_def_10,sK0,X0)
| ~ s_e(sK0,X0,sK5,X1) ),
inference(superposition,[status(thm)],[c_8434,c_154]) ).
tcf(c_38997,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_11,X0),X1,X0,X2)
| ~ sameside(X0,sK1,X2)
| ~ s_e(sK2,X1,sK1,X2)
| ~ sameside(s(iPr_def_11,X0),sK2,X1) ),
inference(superposition,[status(thm)],[c_8438,c_154]) ).
tcf(c_38998,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_11,X0,iPr_def_11,X1)
| ~ sameside(iPr_def_11,sK2,X0)
| ~ sameside(iPr_def_11,sK1,X1)
| ~ s_e(sK2,X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_8439,c_154]) ).
tcf(c_38999,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_10,X0),X1,X0,X2)
| ~ sameside(X0,sK0,X2)
| ~ s_e(sK5,X1,sK0,X2)
| ~ sameside(s(iPr_def_10,X0),sK5,X1) ),
inference(superposition,[status(thm)],[c_8443,c_154]) ).
tcf(c_39000,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_10,X0,iPr_def_10,X1)
| ~ sameside(iPr_def_10,sK5,X0)
| ~ sameside(iPr_def_10,sK0,X1)
| ~ s_e(sK5,X0,sK0,X1) ),
inference(superposition,[status(thm)],[c_8444,c_154]) ).
tcf(c_39001,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_11,X0),X1,X0,X2)
| ~ sameside(X0,sK2,X2)
| ~ s_e(sK1,X1,sK2,X2)
| ~ sameside(s(iPr_def_11,X0),sK1,X1) ),
inference(superposition,[status(thm)],[c_8448,c_154]) ).
tcf(c_39002,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_11,X0,iPr_def_11,X1)
| ~ sameside(iPr_def_11,sK2,X1)
| ~ sameside(iPr_def_11,sK1,X0)
| ~ s_e(sK1,X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_8449,c_154]) ).
tcf(c_39003,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_8453,c_154]) ).
tcf(c_39004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(midpoint(X0,X1),X2,midpoint(X0,X1),X3)
| ~ s_e(X0,X2,X1,X3)
| ~ sameside(midpoint(X0,X1),X1,X3)
| ~ sameside(midpoint(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_8455,c_154]) ).
tcf(c_39005,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK0,X1,sK5,X2)
| ~ sameside(sK5,X0,X2)
| ~ sameside(sK0,s(iPr_def_10,X0),X1)
| ~ s_e(s(iPr_def_10,X0),X1,X0,X2) ),
inference(superposition,[status(thm)],[c_8462,c_154]) ).
tcf(c_39006,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X1,sK1,X2)
| ~ sameside(sK1,X0,X2)
| ~ sameside(sK2,s(iPr_def_11,X0),X1)
| ~ s_e(s(iPr_def_11,X0),X1,X0,X2) ),
inference(superposition,[status(thm)],[c_8467,c_154]) ).
tcf(c_39007,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,X1,sK0,X2)
| ~ sameside(sK0,X0,X2)
| ~ sameside(sK5,s(iPr_def_10,X0),X1)
| ~ s_e(s(iPr_def_10,X0),X1,X0,X2) ),
inference(superposition,[status(thm)],[c_8472,c_154]) ).
tcf(c_39008,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X2,X4,s(midpoint(X0,X1),X2),X3)
| ~ sameside(X2,X1,X4)
| ~ s_e(X1,X4,X0,X3)
| ~ sameside(s(midpoint(X0,X1),X2),X0,X3) ),
inference(superposition,[status(thm)],[c_8479,c_154]) ).
tcf(c_39009,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_8484,c_154]) ).
tcf(c_39010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X3,X1,X4)
| ~ sameside(X1,X2,X4)
| ~ sameside(X0,s(midpoint(X0,X1),X2),X3)
| ~ s_e(s(midpoint(X0,X1),X2),X3,X2,X4) ),
inference(superposition,[status(thm)],[c_8486,c_154]) ).
tcf(c_39011,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK1,X1,sK2,X2)
| ~ sameside(sK2,X0,X2)
| ~ sameside(sK1,s(iPr_def_11,X0),X1)
| ~ s_e(s(iPr_def_11,X0),X1,X0,X2) ),
inference(superposition,[status(thm)],[c_8490,c_154]) ).
tcf(c_39012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(midpoint(X0,X1),X2),X3,X2,X4)
| ~ sameside(X2,X1,X4)
| ~ s_e(X0,X3,X1,X4)
| ~ sameside(s(midpoint(X0,X1),X2),X0,X3) ),
inference(superposition,[status(thm)],[c_8606,c_154]) ).
tcf(c_39013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X2,X4)
| ~ sameside(X3,X0,X1)
| ~ sameside(X2,s(midpoint(X2,X3),X0),X4)
| ~ s_e(X0,X1,s(midpoint(X2,X3),X0),X4) ),
inference(superposition,[status(thm)],[c_8726,c_154]) ).
tcf(c_39014,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_8752,c_154]) ).
tcf(c_39015,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X0,sK0,X1)
| ~ sameside(sK5,sK2,X0)
| ~ sameside(sK0,sK1,X1)
| ~ s_e(sK2,X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_8756,c_154]) ).
tcf(c_39016,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(s(midpoint(X0,X1),X2),X3,X2,X4)
| ~ sameside(X2,X0,X4)
| ~ s_e(X1,X3,X0,X4)
| ~ sameside(s(midpoint(X0,X1),X2),X1,X3) ),
inference(superposition,[status(thm)],[c_8766,c_154]) ).
tcf(c_39017,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_8786,c_154]) ).
tcf(c_39018,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_8789,c_154]) ).
tcf(c_39019,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,X0,sK5,X1)
| ~ sameside(sK5,sK2,X1)
| ~ sameside(sK1,sK0,X0)
| ~ s_e(sK0,X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_8790,c_154]) ).
tcf(c_39020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(midpoint(X0,X2),X1,X2,X3)
| ~ sameside(X2,midpoint(X0,X2),X3)
| ~ sameside(midpoint(X0,X2),X0,X1)
| ~ s_e(X0,X1,midpoint(X0,X2),X3) ),
inference(superposition,[status(thm)],[c_8791,c_154]) ).
tcf(c_39021,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_10,X0,sK5,X1)
| ~ sameside(iPr_def_10,sK0,X0)
| ~ sameside(sK5,iPr_def_10,X1)
| ~ s_e(sK0,X0,iPr_def_10,X1) ),
inference(superposition,[status(thm)],[c_8792,c_154]) ).
tcf(c_39022,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_11,X0,sK1,X1)
| ~ sameside(iPr_def_11,sK2,X0)
| ~ sameside(sK1,iPr_def_11,X1)
| ~ s_e(sK2,X0,iPr_def_11,X1) ),
inference(superposition,[status(thm)],[c_8793,c_154]) ).
tcf(c_39023,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_8794,c_154]) ).
tcf(c_39024,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_8795,c_154]) ).
tcf(c_39025,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(midpoint(X2,X0),X1,X2,X3)
| ~ sameside(X2,midpoint(X2,X0),X3)
| ~ sameside(midpoint(X2,X0),X0,X1)
| ~ s_e(X0,X1,midpoint(X2,X0),X3) ),
inference(superposition,[status(thm)],[c_8796,c_154]) ).
tcf(c_39026,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_10,X0,sK0,X1)
| ~ sameside(iPr_def_10,sK5,X0)
| ~ sameside(sK0,iPr_def_10,X1)
| ~ s_e(sK5,X0,iPr_def_10,X1) ),
inference(superposition,[status(thm)],[c_8797,c_154]) ).
tcf(c_39027,plain,
! [X0: $i,X1: $i] :
( s_e(iPr_def_11,X0,sK2,X1)
| ~ sameside(iPr_def_11,sK1,X0)
| ~ sameside(sK2,iPr_def_11,X1)
| ~ s_e(sK1,X0,iPr_def_11,X1) ),
inference(superposition,[status(thm)],[c_8798,c_154]) ).
tcf(c_39028,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_8799,c_154]) ).
tcf(c_39029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X0,X4,s(midpoint(X0,X1),X2),X3)
| ~ sameside(X0,X2,X4)
| ~ s_e(X2,X4,X1,X3)
| ~ sameside(s(midpoint(X0,X1),X2),X1,X3) ),
inference(superposition,[status(thm)],[c_8800,c_154]) ).
tcf(c_39030,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK0,X2,s(iPr_def_10,X0),X1)
| ~ sameside(sK0,X0,X2)
| ~ s_e(X0,X2,sK5,X1)
| ~ sameside(s(iPr_def_10,X0),sK5,X1) ),
inference(superposition,[status(thm)],[c_8801,c_154]) ).
tcf(c_39031,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X2,s(iPr_def_11,X0),X1)
| ~ sameside(sK2,X0,X2)
| ~ s_e(X0,X2,sK1,X1)
| ~ sameside(s(iPr_def_11,X0),sK1,X1) ),
inference(superposition,[status(thm)],[c_8802,c_154]) ).
tcf(c_39032,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,X2,s(iPr_def_10,X0),X1)
| ~ sameside(sK5,X0,X2)
| ~ s_e(X0,X2,sK0,X1)
| ~ sameside(s(iPr_def_10,X0),sK0,X1) ),
inference(superposition,[status(thm)],[c_8803,c_154]) ).
tcf(c_39033,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK1,X2,s(iPr_def_11,X0),X1)
| ~ sameside(sK1,X0,X2)
| ~ s_e(X0,X2,sK2,X1)
| ~ sameside(s(iPr_def_11,X0),sK2,X1) ),
inference(superposition,[status(thm)],[c_8804,c_154]) ).
tcf(c_39034,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_8805,c_154]) ).
tcf(c_39035,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_8806,c_154]) ).
tcf(c_39036,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X0,sK5,X2)
| ~ sameside(X1,sK0,X0)
| ~ sameside(sK5,s(iPr_def_10,X1),X2)
| ~ s_e(sK0,X0,s(iPr_def_10,X1),X2) ),
inference(superposition,[status(thm)],[c_8807,c_154]) ).
tcf(c_39037,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X0,sK1,X2)
| ~ sameside(X1,sK2,X0)
| ~ sameside(sK1,s(iPr_def_11,X1),X2)
| ~ s_e(sK2,X0,s(iPr_def_11,X1),X2) ),
inference(superposition,[status(thm)],[c_8808,c_154]) ).
tcf(c_39038,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X0,sK0,X2)
| ~ sameside(X1,sK5,X0)
| ~ sameside(sK0,s(iPr_def_10,X1),X2)
| ~ s_e(sK5,X0,s(iPr_def_10,X1),X2) ),
inference(superposition,[status(thm)],[c_8809,c_154]) ).
tcf(c_39039,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,X0,iPr_def_10,X1)
| ~ sameside(iPr_def_10,sK5,X1)
| ~ sameside(sK0,iPr_def_10,X0)
| ~ s_e(iPr_def_10,X0,sK5,X1) ),
inference(superposition,[status(thm)],[c_8810,c_154]) ).
tcf(c_39040,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,iPr_def_11,X1)
| ~ sameside(iPr_def_11,sK1,X1)
| ~ sameside(sK2,iPr_def_11,X0)
| ~ s_e(iPr_def_11,X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_8811,c_154]) ).
tcf(c_39041,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X0,iPr_def_10,X1)
| ~ sameside(iPr_def_10,sK0,X1)
| ~ sameside(sK5,iPr_def_10,X0)
| ~ s_e(iPr_def_10,X0,sK0,X1) ),
inference(superposition,[status(thm)],[c_8812,c_154]) ).
tcf(c_39042,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,X0,iPr_def_11,X1)
| ~ sameside(iPr_def_11,sK2,X1)
| ~ sameside(sK1,iPr_def_11,X0)
| ~ s_e(iPr_def_11,X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_8813,c_154]) ).
tcf(c_39043,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,sK0,X1)
| ~ sameside(sK2,sK5,X0)
| ~ sameside(sK0,sK1,X1)
| ~ s_e(sK5,X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_8845,c_154]) ).
tcf(c_39044,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X0,sK1,X1)
| ~ sameside(sK5,sK2,X0)
| ~ sameside(sK1,sK0,X1)
| ~ s_e(sK2,X0,sK0,X1) ),
inference(superposition,[status(thm)],[c_8848,c_154]) ).
tcf(c_39045,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,X0,sK2,X1)
| ~ sameside(sK2,sK5,X1)
| ~ sameside(sK0,sK1,X0)
| ~ s_e(sK1,X0,sK5,X1) ),
inference(superposition,[status(thm)],[c_8850,c_154]) ).
tcf(c_39046,plain,
! [X0: $i,X1: $i] :
( s_e(sK2,X0,sK1,X1)
| ~ sameside(sK2,sK5,X0)
| ~ sameside(sK1,sK0,X1)
| ~ s_e(sK5,X0,sK0,X1) ),
inference(superposition,[status(thm)],[c_8851,c_154]) ).
tcf(c_39047,plain,
! [X0: $i,X1: $i] :
( s_e(sK1,X0,sK2,X1)
| ~ sameside(sK2,sK5,X1)
| ~ sameside(sK1,sK0,X0)
| ~ s_e(sK0,X0,sK5,X1) ),
inference(superposition,[status(thm)],[c_8853,c_154]) ).
tcf(c_39048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X3,X1,X2,X4)
| ~ sameside(X3,X0,X1)
| ~ sameside(X2,s(midpoint(X0,X2),X3),X4)
| ~ s_e(X0,X1,s(midpoint(X0,X2),X3),X4) ),
inference(superposition,[status(thm)],[c_8873,c_154]) ).
tcf(c_39049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_e(X1,X3,X0,X4)
| ~ sameside(X0,X2,X4)
| ~ sameside(X1,s(midpoint(X0,X1),X2),X3)
| ~ s_e(s(midpoint(X0,X1),X2),X3,X2,X4) ),
inference(superposition,[status(thm)],[c_8874,c_154]) ).
tcf(c_39050,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_8880,c_154]) ).
tcf(c_39051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X0,X2,midpoint(X0,X1),X3)
| ~ sameside(X0,midpoint(X0,X1),X2)
| ~ sameside(midpoint(X0,X1),X1,X3)
| ~ s_e(midpoint(X0,X1),X2,X1,X3) ),
inference(superposition,[status(thm)],[c_8885,c_154]) ).
tcf(c_39052,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_8889,c_154]) ).
tcf(c_39053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(X1,X2,midpoint(X0,X1),X3)
| ~ sameside(X1,midpoint(X0,X1),X2)
| ~ sameside(midpoint(X0,X1),X0,X3)
| ~ s_e(midpoint(X0,X1),X2,X0,X3) ),
inference(superposition,[status(thm)],[c_8890,c_154]) ).
tcf(c_39054,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(X1,X0,sK2,X2)
| ~ sameside(X1,sK1,X0)
| ~ sameside(sK2,s(iPr_def_11,X1),X2)
| ~ s_e(sK1,X0,s(iPr_def_11,X1),X2) ),
inference(superposition,[status(thm)],[c_8898,c_154]) ).
tcf(c_39055,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_8924,c_154]) ).
tcf(c_39056,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(midpoint(X0,X1),X2,midpoint(X0,X1),X3)
| ~ s_e(X1,X2,X0,X3)
| ~ sameside(midpoint(X0,X1),X1,X2)
| ~ sameside(midpoint(X0,X1),X0,X3) ),
inference(superposition,[status(thm)],[c_8934,c_154]) ).
tcf(c_39057,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_10,X0),X1,sK5,X2)
| ~ sameside(sK5,X0,X2)
| ~ s_e(sK0,X1,X0,X2)
| ~ sameside(s(iPr_def_10,X0),sK0,X1) ),
inference(superposition,[status(thm)],[c_9156,c_154]) ).
tcf(c_39058,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK0,X1,X0,X2)
| ~ sameside(X0,sK5,X2)
| ~ sameside(sK0,s(iPr_def_10,X0),X1)
| ~ s_e(s(iPr_def_10,X0),X1,sK5,X2) ),
inference(superposition,[status(thm)],[c_9157,c_154]) ).
tcf(c_39059,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(s(iPr_def_11,X0),X1,sK1,X2)
| ~ sameside(sK1,X0,X2)
| ~ s_e(sK2,X1,X0,X2)
| ~ sameside(s(iPr_def_11,X0),sK2,X1) ),
inference(superposition,[status(thm)],[c_9346,c_154]) ).
tcf(c_39060,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK2,X1,X0,X2)
| ~ sameside(X0,sK1,X2)
| ~ sameside(sK2,s(iPr_def_11,X0),X1)
| ~ s_e(s(iPr_def_11,X0),X1,sK1,X2) ),
inference(superposition,[status(thm)],[c_9347,c_154]) ).
tcf(c_39061,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,X2,s(X0,sK0),X1)
| ~ sameside(sK5,sK2,X2)
| ~ s_e(sK2,X2,s(X0,sK1),X1)
| ~ sameside(s(X0,sK0),s(X0,sK1),X1) ),
inference(superposition,[status(thm)],[c_14740,c_154]) ).
tcf(c_39062,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,X2,s(X0,sK0),X1)
| ~ s_r(sK1,X0,sK0)
| ~ sameside(sK5,sK2,X2)
| ~ s_e(sK2,X2,sK1,X1)
| ~ sameside(s(X0,sK0),sK1,X1) ),
inference(superposition,[status(thm)],[c_14742,c_154]) ).
tcf(c_39063,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X1,s(sK1,sK0),X0)
| ~ sameside(sK5,sK2,X1)
| ~ s_e(sK2,X1,sK1,X0)
| ~ sameside(s(sK1,sK0),sK1,X0) ),
inference(superposition,[status(thm)],[c_14743,c_154]) ).
tcf(c_39064,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,X2,s(midpoint(sK1,X0),sK0),X1)
| ~ sameside(sK5,sK2,X2)
| ~ s_e(sK2,X2,X0,X1)
| ~ sameside(s(midpoint(sK1,X0),sK0),X0,X1) ),
inference(superposition,[status(thm)],[c_14744,c_154]) ).
tcf(c_39065,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X1,s(iPr_def_11,sK0),X0)
| ~ sameside(sK5,sK2,X1)
| ~ s_e(sK2,X1,sK2,X0)
| ~ sameside(s(iPr_def_11,sK0),sK2,X0) ),
inference(superposition,[status(thm)],[c_14745,c_154]) ).
tcf(c_39066,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X0,sK0,X1)
| ~ sameside(sK5,sK2,X0)
| ~ sameside(sK0,s(sK0,sK1),X1)
| ~ s_e(sK2,X0,s(sK0,sK1),X1) ),
inference(superposition,[status(thm)],[c_14746,c_154]) ).
tcf(c_39067,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,X0,X1,X2)
| ~ sameside(sK5,sK2,X0)
| ~ sameside(X1,s(midpoint(sK0,X1),sK1),X2)
| ~ s_e(sK2,X0,s(midpoint(sK0,X1),sK1),X2) ),
inference(superposition,[status(thm)],[c_14747,c_154]) ).
tcf(c_39068,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X0,sK5,X1)
| ~ sameside(sK5,sK2,X0)
| ~ sameside(sK5,s(iPr_def_10,sK1),X1)
| ~ s_e(sK2,X0,s(iPr_def_10,sK1),X1) ),
inference(superposition,[status(thm)],[c_14748,c_154]) ).
tcf(c_39069,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,X2,s(midpoint(X0,sK1),sK0),X1)
| ~ sameside(sK5,sK2,X2)
| ~ s_e(sK2,X2,X0,X1)
| ~ sameside(s(midpoint(X0,sK1),sK0),X0,X1) ),
inference(superposition,[status(thm)],[c_14749,c_154]) ).
tcf(c_39070,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,X0,X1,X2)
| ~ sameside(sK5,sK2,X0)
| ~ sameside(X1,s(midpoint(X1,sK0),sK1),X2)
| ~ s_e(sK2,X0,s(midpoint(X1,sK0),sK1),X2) ),
inference(superposition,[status(thm)],[c_14750,c_154]) ).
tcf(c_39071,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_e(sK5,X3,ext(X0,X1,sK1,sK0),X2)
| ~ sameside(sK5,sK2,X3)
| ~ s_e(sK2,X3,X1,X2)
| ~ sameside(ext(X0,X1,sK1,sK0),X1,X2) ),
inference(superposition,[status(thm)],[c_14751,c_154]) ).
tcf(c_39072,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X1,s(sK0,sK1),X0)
| ~ sameside(sK5,sK2,X1)
| ~ s_e(sK2,X1,sK0,X0)
| ~ sameside(s(sK0,sK1),sK0,X0) ),
inference(superposition,[status(thm)],[c_14752,c_154]) ).
tcf(c_39073,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X1,s(iPr_def_10,sK1),X0)
| ~ sameside(sK5,sK2,X1)
| ~ s_e(sK2,X1,sK5,X0)
| ~ sameside(s(iPr_def_10,sK1),sK5,X0) ),
inference(superposition,[status(thm)],[c_14753,c_154]) ).
tcf(c_39074,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X0,sK1,X1)
| ~ sameside(sK5,sK2,X0)
| ~ sameside(sK1,s(sK1,sK0),X1)
| ~ s_e(sK2,X0,s(sK1,sK0),X1) ),
inference(superposition,[status(thm)],[c_14754,c_154]) ).
tcf(c_39075,plain,
! [X0: $i,X1: $i] :
( s_e(sK5,X0,sK2,X1)
| ~ sameside(sK5,sK2,X0)
| ~ sameside(sK2,s(iPr_def_11,sK0),X1)
| ~ s_e(sK2,X0,s(iPr_def_11,sK0),X1) ),
inference(superposition,[status(thm)],[c_14756,c_154]) ).
tcf(c_39076,plain,
! [X0: $i,X1: $i,X2: $i] :
( s_e(sK5,X2,s(X0,sK1),X1)
| ~ sameside(sK5,sK2,X2)
| ~ s_e(sK2,X2,s(X0,sK0),X1)
| ~ sameside(s(X0,sK1),s(X0,sK0),X1) ),
inference(superposition,[status(thm)],[c_15120,c_154]) ).
tcf(c_40302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| ( X0 = X2 )
| ( X0 = X1 )
| ~ s_col(X0,X2,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_100,c_214]) ).
tcf(c_40303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X0,X1,X6)
| ( X0 = X1 )
| ( f813(X0,X1,X2,X3,X4) = X5 )
| ~ s_col(X0,X1,X5)
| ~ perpAt(X0,X1,X4,X2,X3)
| ~ s_col(f813(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_195,c_214]) ).
tcf(c_40304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( s_col(X2,X3,X6)
| ( X2 = X3 )
| ( g813(X0,X1,X2,X3,X4) = X5 )
| ~ s_col(X2,X3,X5)
| ~ perpAt(X0,X1,X4,X2,X3)
| ~ s_col(g813(X0,X1,X2,X3,X4),X5,X6) ),
inference(superposition,[status(thm)],[c_196,c_214]) ).
tcf(c_40305,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| s_col(X0,X1,X2)
| ( X0 = X1 )
| ( foot(X0,X1,X2) = X3 )
| ~ s_col(X0,X1,X3)
| ~ s_col(foot(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_209,c_214]) ).
tcf(c_40306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| s_col(X0,X1,X2)
| ( X0 = X1 )
| ( erectAux21a(X0,X1,X2) = X3 )
| ~ s_col(X0,X1,X3)
| ~ s_col(erectAux21a(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_216,c_214]) ).
tcf(c_40307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( s_col(X0,X1,X4)
| ( X0 = X1 )
| ( erectAux(X0,X1,X2) = X3 )
| ~ s_col(X0,X1,X3)
| ~ s_col(erectAux(X0,X1,X2),X3,X4) ),
inference(superposition,[status(thm)],[c_219,c_214]) ).
tcf(c_40308,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK2,X1)
| ( sK1 = sK2 )
| ( X0 = sK4 )
| ~ s_col(sK1,sK2,X0)
| ~ s_col(sK4,X0,X1) ),
inference(superposition,[status(thm)],[c_5724,c_214]) ).
tcf(c_40309,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| ( X1 = X2 )
| ( X0 = X1 )
| ~ s_col(X1,X2,X3)
| ~ s_col(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_8255,c_214]) ).
tcf(c_40310,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK4,X1)
| ( sK2 = sK4 )
| ( X0 = sK1 )
| ~ s_col(sK2,sK4,X0)
| ~ s_col(sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_8256,c_214]) ).
tcf(c_40311,plain,
! [X0: $i,X1: $i] :
( s_col(sK4,sK1,X1)
| ( sK1 = sK4 )
| ( X0 = sK2 )
| ~ s_col(sK4,sK1,X0)
| ~ s_col(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_8263,c_214]) ).
tcf(c_40312,plain,
! [X0: $i,X1: $i] :
( s_col(sK4,sK2,X1)
| ( sK2 = sK4 )
| ( X0 = sK1 )
| ~ s_col(sK4,sK2,X0)
| ~ s_col(sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_8270,c_214]) ).
tcf(c_40313,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK1,X1)
| ( sK1 = sK2 )
| ( X0 = sK4 )
| ~ s_col(sK2,sK1,X0)
| ~ s_col(sK4,X0,X1) ),
inference(superposition,[status(thm)],[c_8277,c_214]) ).
tcf(c_40314,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK4,X1)
| ( sK1 = sK4 )
| ( X0 = sK2 )
| ~ s_col(sK1,sK4,X0)
| ~ s_col(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_8283,c_214]) ).
tcf(c_40315,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK4,X1)
| ( sK0 = sK4 )
| ( X0 = sK3 )
| ~ s_col(sK0,sK4,X0)
| ~ s_col(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_8511,c_214]) ).
tcf(c_40316,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK5,X1)
| ( sK2 = sK5 )
| ( X0 = sK3 )
| ~ s_col(sK2,sK5,X0)
| ~ s_col(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_8512,c_214]) ).
tcf(c_40317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,midpoint(X0,X1),X3)
| ( X1 = X2 )
| ( midpoint(X0,X1) = X0 )
| ~ s_col(X1,X2,X3)
| ~ s_col(X0,midpoint(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_8513,c_214]) ).
tcf(c_40318,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,iPr_def_10,X1)
| ( sK0 = iPr_def_10 )
| ( X0 = sK5 )
| ~ s_col(sK0,iPr_def_10,X0)
| ~ s_col(sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_8514,c_214]) ).
tcf(c_40319,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,iPr_def_11,X1)
| ( sK2 = iPr_def_11 )
| ( X0 = sK1 )
| ~ s_col(sK2,iPr_def_11,X0)
| ~ s_col(sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_8515,c_214]) ).
tcf(c_40320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X0,X3)
| ( X0 = X1 )
| ( s(X0,X1) = X2 )
| ~ s_col(X1,X0,X2)
| ~ s_col(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_8516,c_214]) ).
tcf(c_40321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(X0,X1),X0,X3)
| ( X1 = X2 )
| ( s(X0,X1) = X0 )
| ~ s_col(X1,X2,X3)
| ~ s_col(s(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_8517,c_214]) ).
tcf(c_40322,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK4,X1)
| ( sK3 = sK4 )
| ( X0 = sK0 )
| ~ s_col(sK3,sK4,X0)
| ~ s_col(sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8518,c_214]) ).
tcf(c_40323,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK5,X1)
| ( sK3 = sK5 )
| ( X0 = sK2 )
| ~ s_col(sK3,sK5,X0)
| ~ s_col(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_8519,c_214]) ).
tcf(c_40324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,midpoint(X1,X0),X3)
| ( X1 = X2 )
| ( midpoint(X1,X0) = X0 )
| ~ s_col(X1,X2,X3)
| ~ s_col(X0,midpoint(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_8520,c_214]) ).
tcf(c_40325,plain,
! [X0: $i,X1: $i] :
( s_col(sK5,iPr_def_10,X1)
| ( sK5 = iPr_def_10 )
| ( X0 = sK0 )
| ~ s_col(sK5,iPr_def_10,X0)
| ~ s_col(sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8521,c_214]) ).
tcf(c_40326,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,iPr_def_11,X1)
| ( sK1 = iPr_def_11 )
| ( X0 = sK2 )
| ~ s_col(sK1,iPr_def_11,X0)
| ~ s_col(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_8522,c_214]) ).
tcf(c_40327,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK0,X1)
| ( sK0 = sK3 )
| ( X0 = sK4 )
| ~ s_col(sK3,sK0,X0)
| ~ s_col(sK4,X0,X1) ),
inference(superposition,[status(thm)],[c_8534,c_214]) ).
tcf(c_40328,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK2,X1)
| ( sK2 = sK3 )
| ( X0 = sK5 )
| ~ s_col(sK3,sK2,X0)
| ~ s_col(sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_8535,c_214]) ).
tcf(c_40329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X1,X0,X3)
| ( X0 = X1 )
| ( midpoint(X0,X1) = X2 )
| ~ s_col(X1,X0,X2)
| ~ s_col(midpoint(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_8536,c_214]) ).
tcf(c_40330,plain,
! [X0: $i,X1: $i] :
( s_col(sK5,sK0,X1)
| ( sK0 = sK5 )
| ( X0 = iPr_def_10 )
| ~ s_col(sK5,sK0,X0)
| ~ s_col(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_8537,c_214]) ).
tcf(c_40331,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK2,X1)
| ( sK1 = sK2 )
| ( X0 = iPr_def_11 )
| ~ s_col(sK1,sK2,X0)
| ~ s_col(iPr_def_11,X0,X1) ),
inference(superposition,[status(thm)],[c_8538,c_214]) ).
tcf(c_40332,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(s(X0,X1),X1,X3)
| ( X0 = X2 )
| ( s(X0,X1) = X1 )
| ~ s_col(X0,X2,X3)
| ~ s_col(s(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_8539,c_214]) ).
tcf(c_40333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,s(X1,X0),X3)
| ( X1 = X2 )
| ( s(X1,X0) = X0 )
| ~ s_col(X1,X2,X3)
| ~ s_col(X0,s(X1,X0),X2) ),
inference(superposition,[status(thm)],[c_8540,c_214]) ).
tcf(c_40334,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK3,X1)
| ( sK0 = sK3 )
| ( X0 = sK4 )
| ~ s_col(sK0,sK3,X0)
| ~ s_col(sK4,X0,X1) ),
inference(superposition,[status(thm)],[c_8541,c_214]) ).
tcf(c_40335,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK3,X1)
| ( sK2 = sK3 )
| ( X0 = sK5 )
| ~ s_col(sK2,sK3,X0)
| ~ s_col(sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_8542,c_214]) ).
tcf(c_40336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| ( X0 = X1 )
| ( midpoint(X0,X1) = X2 )
| ~ s_col(X0,X1,X2)
| ~ s_col(midpoint(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_8543,c_214]) ).
tcf(c_40337,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK5,X1)
| ( sK0 = sK5 )
| ( X0 = iPr_def_10 )
| ~ s_col(sK0,sK5,X0)
| ~ s_col(iPr_def_10,X0,X1) ),
inference(superposition,[status(thm)],[c_8544,c_214]) ).
tcf(c_40338,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK1,X1)
| ( sK1 = sK2 )
| ( X0 = iPr_def_11 )
| ~ s_col(sK2,sK1,X0)
| ~ s_col(iPr_def_11,X0,X1) ),
inference(superposition,[status(thm)],[c_8545,c_214]) ).
tcf(c_40339,plain,
! [X0: $i,X1: $i] :
( s_col(sK4,sK0,X1)
| ( sK0 = sK4 )
| ( X0 = sK3 )
| ~ s_col(sK4,sK0,X0)
| ~ s_col(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_8552,c_214]) ).
tcf(c_40340,plain,
! [X0: $i,X1: $i] :
( s_col(sK4,sK3,X1)
| ( sK3 = sK4 )
| ( X0 = sK0 )
| ~ s_col(sK4,sK3,X0)
| ~ s_col(sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8555,c_214]) ).
tcf(c_40341,plain,
! [X0: $i,X1: $i] :
( s_col(sK5,sK2,X1)
| ( sK2 = sK5 )
| ( X0 = sK3 )
| ~ s_col(sK5,sK2,X0)
| ~ s_col(sK3,X0,X1) ),
inference(superposition,[status(thm)],[c_8557,c_214]) ).
tcf(c_40342,plain,
! [X0: $i,X1: $i] :
( s_col(sK5,sK3,X1)
| ( sK3 = sK5 )
| ( X0 = sK2 )
| ~ s_col(sK5,sK3,X0)
| ~ s_col(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_8560,c_214]) ).
tcf(c_40343,plain,
! [X0: $i,X1: $i] :
( s_col(iPr_def_10,sK0,X1)
| ( sK0 = iPr_def_10 )
| ( X0 = sK5 )
| ~ s_col(iPr_def_10,sK0,X0)
| ~ s_col(sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_8562,c_214]) ).
tcf(c_40344,plain,
! [X0: $i,X1: $i] :
( s_col(iPr_def_10,sK5,X1)
| ( sK5 = iPr_def_10 )
| ( X0 = sK0 )
| ~ s_col(iPr_def_10,sK5,X0)
| ~ s_col(sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_8565,c_214]) ).
tcf(c_40345,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(midpoint(X0,X1),X1,X3)
| ( X0 = X2 )
| ( midpoint(X0,X1) = X1 )
| ~ s_col(X0,X2,X3)
| ~ s_col(midpoint(X0,X1),X1,X2) ),
inference(superposition,[status(thm)],[c_8631,c_214]) ).
tcf(c_40346,plain,
! [X0: $i,X1: $i] :
( s_col(iPr_def_11,sK1,X1)
| ( sK1 = iPr_def_11 )
| ( X0 = sK2 )
| ~ s_col(iPr_def_11,sK1,X0)
| ~ s_col(sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_8633,c_214]) ).
tcf(c_40347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,s(X0,X1),X3)
| ( X1 = X2 )
| ( s(X0,X1) = X0 )
| ~ s_col(X1,X2,X3)
| ~ s_col(X0,s(X0,X1),X2) ),
inference(superposition,[status(thm)],[c_8634,c_214]) ).
tcf(c_40348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| ( X0 = X1 )
| ( s(X0,X1) = X2 )
| ~ s_col(X0,X1,X2)
| ~ s_col(s(X0,X1),X2,X3) ),
inference(superposition,[status(thm)],[c_8635,c_214]) ).
tcf(c_40349,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(midpoint(X0,X1),X0,X3)
| ( X1 = X2 )
| ( midpoint(X0,X1) = X0 )
| ~ s_col(X1,X2,X3)
| ~ s_col(midpoint(X0,X1),X0,X2) ),
inference(superposition,[status(thm)],[c_8638,c_214]) ).
tcf(c_40350,plain,
! [X0: $i,X1: $i] :
( s_col(iPr_def_11,sK2,X1)
| ( sK2 = iPr_def_11 )
| ( X0 = sK1 )
| ~ s_col(iPr_def_11,sK2,X0)
| ~ s_col(sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_8640,c_214]) ).
tcf(c_40351,plain,
! [X0: $i,X1: $i] :
( s_col(sK4,midpoint(sK3,sK4),X1)
| ( X0 = sK0 )
| ( midpoint(sK3,sK4) = sK4 )
| ~ s_col(sK0,X0,X1)
| ~ s_col(sK4,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_11190,c_214]) ).
tcf(c_40352,plain,
! [X0: $i,X1: $i] :
( s_col(midpoint(sK3,sK4),sK0,X1)
| ( X0 = sK4 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_col(sK4,X0,X1)
| ~ s_col(midpoint(sK3,sK4),sK0,X0) ),
inference(superposition,[status(thm)],[c_11191,c_214]) ).
tcf(c_40353,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK4,X1)
| ( sK0 = sK4 )
| ( midpoint(sK3,sK4) = X0 )
| ~ s_col(sK0,sK4,X0)
| ~ s_col(midpoint(sK3,sK4),X0,X1) ),
inference(superposition,[status(thm)],[c_11192,c_214]) ).
tcf(c_40354,plain,
! [X0: $i,X1: $i] :
( s_col(sK5,midpoint(sK3,sK5),X1)
| ( X0 = sK2 )
| ( midpoint(sK3,sK5) = sK5 )
| ~ s_col(sK2,X0,X1)
| ~ s_col(sK5,midpoint(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_11219,c_214]) ).
tcf(c_40355,plain,
! [X0: $i,X1: $i] :
( s_col(midpoint(sK3,sK5),sK2,X1)
| ( X0 = sK5 )
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_col(sK5,X0,X1)
| ~ s_col(midpoint(sK3,sK5),sK2,X0) ),
inference(superposition,[status(thm)],[c_11220,c_214]) ).
tcf(c_40356,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK5,X1)
| ( sK2 = sK5 )
| ( midpoint(sK3,sK5) = X0 )
| ~ s_col(sK2,sK5,X0)
| ~ s_col(midpoint(sK3,sK5),X0,X1) ),
inference(superposition,[status(thm)],[c_11221,c_214]) ).
tcf(c_40357,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,s(sK3,sK0),X1)
| ( X0 = sK4 )
| ( s(sK3,sK0) = sK3 )
| ~ s_col(sK4,X0,X1)
| ~ s_col(sK3,s(sK3,sK0),X0) ),
inference(superposition,[status(thm)],[c_11251,c_214]) ).
tcf(c_40358,plain,
! [X0: $i,X1: $i] :
( s_col(s(sK3,sK0),sK4,X1)
| ( X0 = sK3 )
| ( s(sK3,sK0) = sK4 )
| ~ s_col(sK3,X0,X1)
| ~ s_col(s(sK3,sK0),sK4,X0) ),
inference(superposition,[status(thm)],[c_11252,c_214]) ).
tcf(c_40359,plain,
! [X0: $i,X1: $i] :
( s_col(sK4,sK3,X1)
| ( sK3 = sK4 )
| ( s(sK3,sK0) = X0 )
| ~ s_col(sK4,sK3,X0)
| ~ s_col(s(sK3,sK0),X0,X1) ),
inference(superposition,[status(thm)],[c_11253,c_214]) ).
tcf(c_40360,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,s(sK3,sK2),X1)
| ( X0 = sK5 )
| ( s(sK3,sK2) = sK3 )
| ~ s_col(sK5,X0,X1)
| ~ s_col(sK3,s(sK3,sK2),X0) ),
inference(superposition,[status(thm)],[c_11283,c_214]) ).
tcf(c_40361,plain,
! [X0: $i,X1: $i] :
( s_col(s(sK3,sK2),sK5,X1)
| ( X0 = sK3 )
| ( s(sK3,sK2) = sK5 )
| ~ s_col(sK3,X0,X1)
| ~ s_col(s(sK3,sK2),sK5,X0) ),
inference(superposition,[status(thm)],[c_11284,c_214]) ).
tcf(c_40362,plain,
! [X0: $i,X1: $i] :
( s_col(sK5,sK3,X1)
| ( sK3 = sK5 )
| ( s(sK3,sK2) = X0 )
| ~ s_col(sK5,sK3,X0)
| ~ s_col(s(sK3,sK2),X0,X1) ),
inference(superposition,[status(thm)],[c_11285,c_214]) ).
tcf(c_40363,plain,
! [X0: $i,X1: $i] :
( s_col(midpoint(sK3,sK4),sK3,X1)
| ( X0 = sK0 )
| ( midpoint(sK3,sK4) = sK3 )
| ~ s_col(sK0,X0,X1)
| ~ s_col(midpoint(sK3,sK4),sK3,X0) ),
inference(superposition,[status(thm)],[c_11312,c_214]) ).
tcf(c_40364,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK0,X1)
| ( sK0 = sK3 )
| ( midpoint(sK3,sK4) = X0 )
| ~ s_col(sK3,sK0,X0)
| ~ s_col(midpoint(sK3,sK4),X0,X1) ),
inference(superposition,[status(thm)],[c_11313,c_214]) ).
tcf(c_40365,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,midpoint(sK3,sK4),X1)
| ( X0 = sK3 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_col(sK3,X0,X1)
| ~ s_col(sK0,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_11314,c_214]) ).
tcf(c_40366,plain,
! [X0: $i,X1: $i] :
( s_col(midpoint(sK3,sK5),sK3,X1)
| ( X0 = sK2 )
| ( midpoint(sK3,sK5) = sK3 )
| ~ s_col(sK2,X0,X1)
| ~ s_col(midpoint(sK3,sK5),sK3,X0) ),
inference(superposition,[status(thm)],[c_11345,c_214]) ).
tcf(c_40367,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK2,X1)
| ( sK2 = sK3 )
| ( midpoint(sK3,sK5) = X0 )
| ~ s_col(sK3,sK2,X0)
| ~ s_col(midpoint(sK3,sK5),X0,X1) ),
inference(superposition,[status(thm)],[c_11346,c_214]) ).
tcf(c_40368,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,midpoint(sK3,sK5),X1)
| ( X0 = sK3 )
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_col(sK3,X0,X1)
| ~ s_col(sK2,midpoint(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_11347,c_214]) ).
tcf(c_40369,plain,
! [X0: $i,X1: $i] :
( s_col(sK4,s(sK3,sK0),X1)
| ( X0 = sK0 )
| ( s(sK3,sK0) = sK4 )
| ~ s_col(sK0,X0,X1)
| ~ s_col(sK4,s(sK3,sK0),X0) ),
inference(superposition,[status(thm)],[c_11373,c_214]) ).
tcf(c_40370,plain,
! [X0: $i,X1: $i] :
( s_col(s(sK3,sK0),sK0,X1)
| ( X0 = sK4 )
| ( s(sK3,sK0) = sK0 )
| ~ s_col(sK4,X0,X1)
| ~ s_col(s(sK3,sK0),sK0,X0) ),
inference(superposition,[status(thm)],[c_11374,c_214]) ).
tcf(c_40371,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK4,X1)
| ( sK0 = sK4 )
| ( s(sK3,sK0) = X0 )
| ~ s_col(sK0,sK4,X0)
| ~ s_col(s(sK3,sK0),X0,X1) ),
inference(superposition,[status(thm)],[c_11375,c_214]) ).
tcf(c_40372,plain,
! [X0: $i,X1: $i] :
( s_col(sK5,s(sK3,sK2),X1)
| ( X0 = sK2 )
| ( s(sK3,sK2) = sK5 )
| ~ s_col(sK2,X0,X1)
| ~ s_col(sK5,s(sK3,sK2),X0) ),
inference(superposition,[status(thm)],[c_11405,c_214]) ).
tcf(c_40373,plain,
! [X0: $i,X1: $i] :
( s_col(s(sK3,sK2),sK2,X1)
| ( X0 = sK5 )
| ( s(sK3,sK2) = sK2 )
| ~ s_col(sK5,X0,X1)
| ~ s_col(s(sK3,sK2),sK2,X0) ),
inference(superposition,[status(thm)],[c_11406,c_214]) ).
tcf(c_40374,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,sK5,X1)
| ( sK2 = sK5 )
| ( s(sK3,sK2) = X0 )
| ~ s_col(sK2,sK5,X0)
| ~ s_col(s(sK3,sK2),X0,X1) ),
inference(superposition,[status(thm)],[c_11407,c_214]) ).
tcf(c_40375,plain,
! [X0: $i,X1: $i] :
( s_col(sK4,sK0,X1)
| ( sK0 = sK4 )
| ( midpoint(sK3,sK4) = X0 )
| ~ s_col(sK4,sK0,X0)
| ~ s_col(midpoint(sK3,sK4),X0,X1) ),
inference(superposition,[status(thm)],[c_11739,c_214]) ).
tcf(c_40376,plain,
! [X0: $i,X1: $i] :
( s_col(midpoint(sK3,sK4),sK4,X1)
| ( X0 = sK0 )
| ( midpoint(sK3,sK4) = sK4 )
| ~ s_col(sK0,X0,X1)
| ~ s_col(midpoint(sK3,sK4),sK4,X0) ),
inference(superposition,[status(thm)],[c_11740,c_214]) ).
tcf(c_40377,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,midpoint(sK3,sK4),X1)
| ( X0 = sK4 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_col(sK4,X0,X1)
| ~ s_col(sK0,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_11741,c_214]) ).
tcf(c_40378,plain,
! [X0: $i,X1: $i] :
( s_col(sK5,sK2,X1)
| ( sK2 = sK5 )
| ( midpoint(sK3,sK5) = X0 )
| ~ s_col(sK5,sK2,X0)
| ~ s_col(midpoint(sK3,sK5),X0,X1) ),
inference(superposition,[status(thm)],[c_12795,c_214]) ).
tcf(c_40379,plain,
! [X0: $i,X1: $i] :
( s_col(midpoint(sK3,sK5),sK5,X1)
| ( X0 = sK2 )
| ( midpoint(sK3,sK5) = sK5 )
| ~ s_col(sK2,X0,X1)
| ~ s_col(midpoint(sK3,sK5),sK5,X0) ),
inference(superposition,[status(thm)],[c_12796,c_214]) ).
tcf(c_40380,plain,
! [X0: $i,X1: $i] :
( s_col(sK2,midpoint(sK3,sK5),X1)
| ( X0 = sK5 )
| ( midpoint(sK3,sK5) = sK2 )
| ~ s_col(sK5,X0,X1)
| ~ s_col(sK2,midpoint(sK3,sK5),X0) ),
inference(superposition,[status(thm)],[c_12797,c_214]) ).
tcf(c_40381,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK4,X1)
| ( sK3 = sK4 )
| ( s(sK3,sK0) = X0 )
| ~ s_col(sK3,sK4,X0)
| ~ s_col(s(sK3,sK0),X0,X1) ),
inference(superposition,[status(thm)],[c_15258,c_214]) ).
tcf(c_40382,plain,
! [X0: $i,X1: $i] :
( s_col(s(sK3,sK0),sK3,X1)
| ( X0 = sK4 )
| ( s(sK3,sK0) = sK3 )
| ~ s_col(sK4,X0,X1)
| ~ s_col(s(sK3,sK0),sK3,X0) ),
inference(superposition,[status(thm)],[c_15259,c_214]) ).
tcf(c_40383,plain,
! [X0: $i,X1: $i] :
( s_col(sK4,s(sK3,sK0),X1)
| ( X0 = sK3 )
| ( s(sK3,sK0) = sK4 )
| ~ s_col(sK3,X0,X1)
| ~ s_col(sK4,s(sK3,sK0),X0) ),
inference(superposition,[status(thm)],[c_15260,c_214]) ).
tcf(c_40384,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,sK5,X1)
| ( sK3 = sK5 )
| ( s(sK3,sK2) = X0 )
| ~ s_col(sK3,sK5,X0)
| ~ s_col(s(sK3,sK2),X0,X1) ),
inference(superposition,[status(thm)],[c_15811,c_214]) ).
tcf(c_40385,plain,
! [X0: $i,X1: $i] :
( s_col(s(sK3,sK2),sK3,X1)
| ( X0 = sK5 )
| ( s(sK3,sK2) = sK3 )
| ~ s_col(sK5,X0,X1)
| ~ s_col(s(sK3,sK2),sK3,X0) ),
inference(superposition,[status(thm)],[c_15812,c_214]) ).
tcf(c_40386,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK4,X1)
| ( sK1 = sK4 )
| ( sK1 = sK2 )
| ( X0 = iPr_def_11 )
| ~ s_col(sK1,sK4,X0)
| ~ s_col(iPr_def_11,X0,X1) ),
inference(superposition,[status(thm)],[c_27963,c_214]) ).
tcf(c_40936,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X2)
| s_r(X2,foot(X0,X1,X2),X3)
| ( X0 = X1 )
| ( foot(X0,X1,X2) = X3 )
| ~ s_col(X0,X1,X3)
| ~ s_col(X0,X1,foot(X0,X1,X2)) ),
inference(superposition,[status(thm)],[c_210,c_206]) ).
tcf(c_40937,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| s_r(erect21a(X0,X1,X3),X0,X2)
| ( X0 = X2 )
| ( X0 = X1 )
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_215,c_206]) ).
tcf(c_40938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_r(erect(X0,X1,X3),X0,X2)
| ( X0 = X2 )
| ( X0 = X1 )
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_218,c_206]) ).
tcf(c_40940,plain,
! [X0: $i] :
( s_r(sK1,sK2,X0)
| ( sK2 = sK3 )
| ( X0 = sK2 )
| ~ s_col(sK3,sK2,sK2)
| ~ s_col(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_5725,c_206]) ).
tcf(c_40941,plain,
! [X0: $i] :
( s_r(sK0,sK1,X0)
| ( sK1 = sK2 )
| ( X0 = sK1 )
| ~ s_col(sK1,sK2,sK1)
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_9084,c_206]) ).
tcf(c_40942,plain,
! [X0: $i] :
( s_r(sK3,sK2,X0)
| ( sK1 = sK2 )
| ( X0 = sK2 )
| ~ s_col(sK1,sK2,sK2)
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_9085,c_206]) ).
tcf(c_40944,plain,
! [X0: $i] :
( s_r(sK1,sK2,X0)
| ( sK2 = sK3 )
| ( X0 = sK2 )
| ~ s_col(sK2,sK3,sK2)
| ~ s_col(sK2,sK3,X0) ),
inference(superposition,[status(thm)],[c_9118,c_206]) ).
tcf(c_40945,plain,
! [X0: $i] :
( s_r(sK0,sK1,X0)
| ( sK1 = sK2 )
| ( X0 = sK1 )
| ~ s_col(sK2,sK1,sK1)
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_9119,c_206]) ).
tcf(c_40946,plain,
! [X0: $i] :
( s_r(sK3,sK2,X0)
| ( sK1 = sK2 )
| ( X0 = sK2 )
| ~ s_col(sK2,sK1,sK2)
| ~ s_col(sK2,sK1,X0) ),
inference(superposition,[status(thm)],[c_9125,c_206]) ).
tcf(c_40949,plain,
! [X0: $i] :
( s_r(sK2,sK1,X0)
| ( sK0 = sK1 )
| ( X0 = sK1 )
| ~ s_col(sK0,sK1,sK1)
| ~ s_col(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_9132,c_206]) ).
tcf(c_40953,plain,
! [X0: $i] :
( s_r(sK2,sK1,X0)
| ( sK0 = sK1 )
| ( X0 = sK1 )
| ~ s_col(sK1,sK0,sK1)
| ~ s_col(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_9141,c_206]) ).
tcf(c_40955,plain,
! [X0: $i] :
( s_r(sK2,sK1,X0)
| ( sK0 = sK1 )
| ( X0 = sK1 )
| ~ s_col(sK1,sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40953,c_100]) ).
tcf(c_40960,plain,
! [X0: $i] :
( s_r(sK2,sK1,X0)
| ( sK0 = sK1 )
| ( X0 = sK1 )
| ~ s_col(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40949,c_8255]) ).
tcf(c_40965,plain,
! [X0: $i] :
( s_r(sK3,sK2,X0)
| ( sK1 = sK2 )
| ( X0 = sK2 )
| ~ s_col(sK2,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40946,c_100]) ).
tcf(c_40970,plain,
! [X0: $i] :
( s_r(sK0,sK1,X0)
| ( sK1 = sK2 )
| ( X0 = sK1 )
| ~ s_col(sK2,sK1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40945,c_8255]) ).
tcf(c_40975,plain,
! [X0: $i] :
( s_r(sK1,sK2,X0)
| ( sK2 = sK3 )
| ( X0 = sK2 )
| ~ s_col(sK2,sK3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40944,c_100]) ).
tcf(c_40980,plain,
! [X0: $i] :
( s_r(sK3,sK2,X0)
| ( sK1 = sK2 )
| ( X0 = sK2 )
| ~ s_col(sK1,sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40942,c_8255]) ).
tcf(c_40985,plain,
! [X0: $i] :
( s_r(sK0,sK1,X0)
| ( sK1 = sK2 )
| ( X0 = sK1 )
| ~ s_col(sK1,sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40941,c_100]) ).
tcf(c_40990,plain,
! [X0: $i] :
( s_r(sK1,sK2,X0)
| ( sK2 = sK3 )
| ( X0 = sK2 )
| ~ s_col(sK3,sK2,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40940,c_8255]) ).
tcf(c_40995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_r(erect(X0,X1,X3),X0,X2)
| ( X0 = X2 )
| ( X0 = X1 )
| ~ s_col(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40938,c_100]) ).
tcf(c_41000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(X0,X1,X3)
| s_r(erect21a(X0,X1,X3),X0,X2)
| ( X0 = X2 )
| ( X0 = X1 )
| ~ s_col(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40937,c_100]) ).
tcf(c_41020,plain,
! [X0: $i,X1: $i] :
( s_col(sK5,s(sK3,sK2),X1)
| ( X0 = sK3 )
| ( s(sK3,sK2) = sK5 )
| ~ s_col(sK3,X0,X1)
| ~ s_col(sK5,s(sK3,sK2),X0) ),
inference(superposition,[status(thm)],[c_15813,c_214]) ).
tcf(c_41021,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,X0,X1)
| ( X0 = sK3 )
| ( s(sK3,sK2) = sK5 )
| ~ s_col(sK5,s(sK3,sK2),X1)
| ~ s_col(sK5,s(sK3,sK2),X0) ),
inference(superposition,[status(thm)],[c_15813,c_151]) ).
tcf(c_41022,plain,
! [X0: $i] :
( s_col(sK5,sK3,X0)
| ( sK3 = sK5 )
| ( s(sK3,sK2) = sK5 )
| ~ s_col(sK5,s(sK3,sK2),X0) ),
inference(superposition,[status(thm)],[c_15813,c_148]) ).
tcf(c_41023,plain,
( ( s(sK3,sK2) = sK5 )
| ( s(sK3,sK2) = sK3 )
| ~ s_r(sK5,s(sK3,sK2),sK3) ),
inference(superposition,[status(thm)],[c_15813,c_187]) ).
tcf(c_41024,plain,
! [X0: $i] :
( s_r(sK3,sK5,X0)
| ( s(sK3,sK2) = sK5 )
| ~ s_r(s(sK3,sK2),sK5,X0) ),
inference(superposition,[status(thm)],[c_15813,c_181]) ).
tcf(c_41026,plain,
( sameside(sK5,s(sK3,sK2),sK3)
| s_t(sK5,s(sK3,sK2),sK3) ),
inference(superposition,[status(thm)],[c_15813,c_134]) ).
tcf(c_41057,plain,
! [X0: $i,X1: $i] :
( s_col(midpoint(sK3,sK4),sK0,X1)
| ( X0 = sK3 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_col(sK3,X0,X1)
| ~ s_col(midpoint(sK3,sK4),sK0,X0) ),
inference(superposition,[status(thm)],[c_17652,c_214]) ).
tcf(c_41058,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,X0,X1)
| ( X0 = sK3 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_col(midpoint(sK3,sK4),sK0,X1)
| ~ s_col(midpoint(sK3,sK4),sK0,X0) ),
inference(superposition,[status(thm)],[c_17652,c_151]) ).
tcf(c_41059,plain,
! [X0: $i] :
( s_col(midpoint(sK3,sK4),sK3,X0)
| ( midpoint(sK3,sK4) = sK3 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_col(midpoint(sK3,sK4),sK0,X0) ),
inference(superposition,[status(thm)],[c_17652,c_148]) ).
tcf(c_41060,plain,
( ( sK0 = sK3 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_r(midpoint(sK3,sK4),sK0,sK3) ),
inference(superposition,[status(thm)],[c_17652,c_187]) ).
tcf(c_41061,plain,
! [X0: $i] :
( s_r(sK3,midpoint(sK3,sK4),X0)
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_r(sK0,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_17652,c_181]) ).
tcf(c_41063,plain,
( sameside(midpoint(sK3,sK4),sK0,sK3)
| s_t(midpoint(sK3,sK4),sK0,sK3) ),
inference(superposition,[status(thm)],[c_17652,c_134]) ).
tcf(c_41094,plain,
! [X0: $i,X1: $i] :
( s_col(sK3,midpoint(sK3,sK4),X1)
| ( X0 = sK0 )
| ( midpoint(sK3,sK4) = sK3 )
| ~ s_col(sK0,X0,X1)
| ~ s_col(sK3,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_17653,c_214]) ).
tcf(c_41095,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,X0,X1)
| ( X0 = sK0 )
| ( midpoint(sK3,sK4) = sK3 )
| ~ s_col(sK3,midpoint(sK3,sK4),X1)
| ~ s_col(sK3,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_17653,c_151]) ).
tcf(c_41096,plain,
! [X0: $i] :
( s_col(sK3,sK0,X0)
| ( sK0 = sK3 )
| ( midpoint(sK3,sK4) = sK3 )
| ~ s_col(sK3,midpoint(sK3,sK4),X0) ),
inference(superposition,[status(thm)],[c_17653,c_148]) ).
tcf(c_41097,plain,
( ( midpoint(sK3,sK4) = sK3 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_r(sK3,midpoint(sK3,sK4),sK0) ),
inference(superposition,[status(thm)],[c_17653,c_187]) ).
tcf(c_41098,plain,
! [X0: $i] :
( s_r(sK0,sK3,X0)
| ( midpoint(sK3,sK4) = sK3 )
| ~ s_r(midpoint(sK3,sK4),sK3,X0) ),
inference(superposition,[status(thm)],[c_17653,c_181]) ).
tcf(c_41129,plain,
! [X0: $i,X1: $i] :
( s_col(sK0,sK3,X1)
| ( sK0 = sK3 )
| ( midpoint(sK3,sK4) = X0 )
| ~ s_col(sK0,sK3,X0)
| ~ s_col(midpoint(sK3,sK4),X0,X1) ),
inference(superposition,[status(thm)],[c_17654,c_214]) ).
tcf(c_41130,plain,
! [X0: $i,X1: $i] :
( s_col(midpoint(sK3,sK4),X0,X1)
| ( sK0 = sK3 )
| ( midpoint(sK3,sK4) = X0 )
| ~ s_col(sK0,sK3,X1)
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_17654,c_151]) ).
tcf(c_41131,plain,
! [X0: $i] :
( s_col(sK0,midpoint(sK3,sK4),X0)
| ( sK0 = sK3 )
| ( midpoint(sK3,sK4) = sK0 )
| ~ s_col(sK0,sK3,X0) ),
inference(superposition,[status(thm)],[c_17654,c_148]) ).
tcf(c_41132,plain,
( ( sK0 = sK3 )
| ( midpoint(sK3,sK4) = sK3 )
| ~ s_r(sK0,sK3,midpoint(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_17654,c_187]) ).
tcf(c_41133,plain,
! [X0: $i] :
( s_r(midpoint(sK3,sK4),sK0,X0)
| ( sK0 = sK3 )
| ~ s_r(sK3,sK0,X0) ),
inference(superposition,[status(thm)],[c_17654,c_181]) ).
tcf(c_41135,plain,
( sameside(sK0,sK3,midpoint(sK3,sK4))
| s_t(sK0,sK3,midpoint(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_17654,c_134]) ).
tcf(c_41228,plain,
( s_e(sK0,sK2,sK5,sK1)
| ~ sameside(sK5,sK2,sK1)
| ~ sameside(sK0,sK1,sK2) ),
inference(superposition,[status(thm)],[c_49,c_38972]) ).
tcf(c_41229,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,ext(X0,sK1,sK2,X1),sK5,X1)
| ~ sameside(sK5,sK2,X1)
| ~ sameside(sK0,sK1,ext(X0,sK1,sK2,X1)) ),
inference(superposition,[status(thm)],[c_53,c_38972]) ).
tcf(c_41231,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,ins(sK2,X0,sK1,X1),sK5,X0)
| ~ sameside(sK5,sK2,X0)
| ~ le(sK1,X1,sK2,X0)
| ~ sameside(sK0,sK1,ins(sK2,X0,sK1,X1)) ),
inference(superposition,[status(thm)],[c_111,c_38972]) ).
tcf(c_41232,plain,
( s_e(sK0,sK0,sK5,sK5)
| ~ sameside(sK5,sK2,sK5)
| ~ sameside(sK0,sK1,sK0) ),
inference(superposition,[status(thm)],[c_5721,c_38972]) ).
tcf(c_41233,plain,
! [X0: $i] :
( s_e(sK0,X0,sK5,s(midpoint(sK1,sK2),X0))
| ~ sameside(sK0,sK1,X0)
| ~ sameside(sK5,sK2,s(midpoint(sK1,sK2),X0)) ),
inference(superposition,[status(thm)],[c_8408,c_38972]) ).
tcf(c_41234,plain,
! [X0: $i] :
( s_e(sK0,X0,sK5,s(iPr_def_11,X0))
| ~ sameside(sK0,sK1,X0)
| ~ sameside(sK5,sK2,s(iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_8412,c_38972]) ).
tcf(c_41235,plain,
! [X0: $i] :
( s_e(sK0,s(iPr_def_11,X0),sK5,X0)
| ~ sameside(sK5,sK2,X0)
| ~ sameside(sK0,sK1,s(iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_8448,c_38972]) ).
tcf(c_41236,plain,
( s_e(sK0,iPr_def_11,sK5,iPr_def_11)
| ~ sameside(sK5,sK2,iPr_def_11)
| ~ sameside(sK0,sK1,iPr_def_11) ),
inference(superposition,[status(thm)],[c_8449,c_38972]) ).
tcf(c_41237,plain,
( s_e(sK0,midpoint(sK1,sK2),sK5,midpoint(sK1,sK2))
| ~ sameside(sK5,sK2,midpoint(sK1,sK2))
| ~ sameside(sK0,sK1,midpoint(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_8455,c_38972]) ).
tcf(c_41238,plain,
! [X0: $i] :
( s_e(sK0,X0,sK5,s(midpoint(sK2,sK1),X0))
| ~ sameside(sK0,sK1,X0)
| ~ sameside(sK5,sK2,s(midpoint(sK2,sK1),X0)) ),
inference(superposition,[status(thm)],[c_8479,c_38972]) ).
tcf(c_41239,plain,
! [X0: $i] :
( s_e(sK0,s(midpoint(sK1,sK2),X0),sK5,X0)
| ~ sameside(sK5,sK2,X0)
| ~ sameside(sK0,sK1,s(midpoint(sK1,sK2),X0)) ),
inference(superposition,[status(thm)],[c_8606,c_38972]) ).
tcf(c_41240,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,X1,sK5,ext(X0,sK2,sK1,X1))
| ~ sameside(sK0,sK1,X1)
| ~ sameside(sK5,sK2,ext(X0,sK2,sK1,X1)) ),
inference(superposition,[status(thm)],[c_8752,c_38972]) ).
tcf(c_41241,plain,
! [X0: $i] :
( s_e(sK0,s(midpoint(sK2,sK1),X0),sK5,X0)
| ~ sameside(sK5,sK2,X0)
| ~ sameside(sK0,sK1,s(midpoint(sK2,sK1),X0)) ),
inference(superposition,[status(thm)],[c_8766,c_38972]) ).
tcf(c_41242,plain,
( s_e(sK0,sK2,sK5,s(sK2,sK1))
| ~ sameside(sK0,sK1,sK2)
| ~ sameside(sK5,sK2,s(sK2,sK1)) ),
inference(superposition,[status(thm)],[c_8794,c_38972]) ).
tcf(c_41243,plain,
! [X0: $i] :
( s_e(sK0,s(X0,sK2),sK5,s(X0,sK1))
| ~ sameside(sK5,sK2,s(X0,sK1))
| ~ sameside(sK0,sK1,s(X0,sK2)) ),
inference(superposition,[status(thm)],[c_8799,c_38972]) ).
tcf(c_41244,plain,
! [X0: $i] :
( s_e(sK0,X0,sK5,s(midpoint(X0,sK2),sK1))
| ~ sameside(sK0,sK1,X0)
| ~ sameside(sK5,sK2,s(midpoint(X0,sK2),sK1)) ),
inference(superposition,[status(thm)],[c_8800,c_38972]) ).
tcf(c_41245,plain,
( s_e(sK0,sK1,sK5,s(iPr_def_11,sK1))
| ~ sameside(sK0,sK1,sK1)
| ~ sameside(sK5,sK2,s(iPr_def_11,sK1)) ),
inference(superposition,[status(thm)],[c_8804,c_38972]) ).
tcf(c_41246,plain,
! [X0: $i,X1: $i] :
( s_e(sK0,ext(X0,sK1,X1,sK2),sK5,X1)
| ~ sameside(sK5,sK2,X1)
| ~ sameside(sK0,sK1,ext(X0,sK1,X1,sK2)) ),
inference(superposition,[status(thm)],[c_8880,c_38972]) ).
tcf(c_41247,plain,
( s_e(sK0,s(sK1,sK2),sK5,sK1)
| ~ sameside(sK5,sK2,sK1)
| ~ sameside(sK0,sK1,s(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_8889,c_38972]) ).
tcf(c_41248,plain,
( s_e(sK0,midpoint(sK2,sK1),sK5,midpoint(sK2,sK1))
| ~ sameside(sK5,sK2,midpoint(sK2,sK1))
| ~ sameside(sK0,sK1,midpoint(sK2,sK1)) ),
inference(superposition,[status(thm)],[c_8934,c_38972]) ).
tcf(c_41258,plain,
( s_e(sK0,sK1,sK5,sK2)
| ~ sameside(sK5,sK2,sK2)
| ~ sameside(sK0,sK1,sK1) ),
inference(light_normalisation,[status(thm)],[c_41245,c_8241]) ).
tcf(c_41319,plain,
! [X0: $i] :
( s_col(sK4,sK1,X0)
| ( sK1 = sK4 )
| ( sK1 = sK2 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_100,c_38080]) ).
tcf(c_41320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK4,f813(sK1,sK2,X1,X2,X0),X3)
| ( sK1 = sK2 )
| ( f813(sK1,sK2,X1,X2,X0) = sK4 )
| ~ s_col(sK1,sK2,X3)
| ~ perpAt(sK1,sK2,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_195,c_38080]) ).
tcf(c_41321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK4,g813(X0,X1,sK1,sK2,X2),X3)
| ( sK1 = sK2 )
| ( g813(X0,X1,sK1,sK2,X2) = sK4 )
| ~ s_col(sK1,sK2,X3)
| ~ perpAt(X0,X1,X2,sK1,sK2) ),
inference(superposition,[status(thm)],[c_196,c_38080]) ).
tcf(c_41322,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK2,X1)
| s_col(sK4,foot(sK1,sK2,X1),X0)
| ( sK1 = sK2 )
| ( foot(sK1,sK2,X1) = sK4 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_209,c_38080]) ).
tcf(c_41323,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK2,X1)
| s_col(sK4,erectAux21a(sK1,sK2,X1),X0)
| ( sK1 = sK2 )
| ( erectAux21a(sK1,sK2,X1) = sK4 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_216,c_38080]) ).
tcf(c_41324,plain,
! [X0: $i,X1: $i] :
( s_col(sK4,erectAux(sK1,sK2,X1),X0)
| ( sK1 = sK2 )
| ( erectAux(sK1,sK2,X1) = sK4 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_219,c_38080]) ).
tcf(c_41326,plain,
! [X0: $i] :
( s_col(sK4,sK2,X0)
| ( sK2 = sK4 )
| ( sK1 = sK2 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_8255,c_38080]) ).
tcf(c_41327,plain,
! [X0: $i] :
( s_col(sK4,s(sK2,sK1),X0)
| ( sK1 = sK2 )
| ( s(sK2,sK1) = sK4 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_8516,c_38080]) ).
tcf(c_41328,plain,
! [X0: $i] :
( s_col(sK4,midpoint(sK2,sK1),X0)
| ( sK1 = sK2 )
| ( midpoint(sK2,sK1) = sK4 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_8536,c_38080]) ).
tcf(c_41329,plain,
! [X0: $i] :
( s_col(sK4,iPr_def_11,X0)
| ( sK4 = iPr_def_11 )
| ( sK1 = sK2 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_8538,c_38080]) ).
tcf(c_41330,plain,
! [X0: $i] :
( s_col(sK4,midpoint(sK1,sK2),X0)
| ( sK1 = sK2 )
| ( midpoint(sK1,sK2) = sK4 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_8543,c_38080]) ).
tcf(c_41331,plain,
! [X0: $i] :
( s_col(sK4,s(sK1,sK2),X0)
| ( sK1 = sK2 )
| ( s(sK1,sK2) = sK4 )
| ~ s_col(sK1,sK2,X0) ),
inference(superposition,[status(thm)],[c_8635,c_38080]) ).
tcf(c_41400,plain,
! [X0: $i] :
( s_col(sK1,sK2,X0)
| ( sK1 = sK4 )
| ( sK1 = sK2 )
| ~ s_col(sK4,sK1,X0) ),
inference(superposition,[status(thm)],[c_100,c_40308]) ).
tcf(c_41401,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK1,sK2,X3)
| ( sK1 = sK2 )
| ( f813(sK1,sK2,X0,X1,X2) = sK4 )
| ~ perpAt(sK1,sK2,X2,X0,X1)
| ~ s_col(sK4,f813(sK1,sK2,X0,X1,X2),X3) ),
inference(superposition,[status(thm)],[c_195,c_40308]) ).
tcf(c_41402,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( s_col(sK1,sK2,X3)
| ( sK1 = sK2 )
| ( g813(X0,X1,sK1,sK2,X2) = sK4 )
| ~ perpAt(X0,X1,X2,sK1,sK2)
| ~ s_col(sK4,g813(X0,X1,sK1,sK2,X2),X3) ),
inference(superposition,[status(thm)],[c_196,c_40308]) ).
tcf(c_41403,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK2,X1)
| s_col(sK1,sK2,X0)
| ( sK1 = sK2 )
| ( foot(sK1,sK2,X0) = sK4 )
| ~ s_col(sK4,foot(sK1,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_209,c_40308]) ).
tcf(c_41404,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK2,X1)
| s_col(sK1,sK2,X0)
| ( sK1 = sK2 )
| ( erectAux21a(sK1,sK2,X0) = sK4 )
| ~ s_col(sK4,erectAux21a(sK1,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_216,c_40308]) ).
tcf(c_41405,plain,
! [X0: $i,X1: $i] :
( s_col(sK1,sK2,X1)
| ( sK1 = sK2 )
| ( erectAux(sK1,sK2,X0) = sK4 )
| ~ s_col(sK4,erectAux(sK1,sK2,X0),X1) ),
inference(superposition,[status(thm)],[c_219,c_40308]) ).
tcf(c_41407,plain,
! [X0: $i] :
( s_col(sK1,sK2,X0)
| ( sK2 = sK4 )
| ( sK1 = sK2 )
| ~ s_col(sK4,sK2,X0) ),
inference(superposition,[status(thm)],[c_8255,c_40308]) ).
tcf(c_41408,plain,
! [X0: $i] :
( s_col(sK1,sK2,X0)
| ( sK1 = sK2 )
| ( s(sK2,sK1) = sK4 )
| ~ s_col(sK4,s(sK2,sK1),X0) ),
inference(superposition,[status(thm)],[c_8516,c_40308]) ).
tcf(c_41409,plain,
! [X0: $i] :
( s_col(sK1,sK2,X0)
| ( sK1 = sK2 )
| ( midpoint(sK2,sK1) = sK4 )
| ~ s_col(sK4,midpoint(sK2,sK1),X0) ),
inference(superposition,[status(thm)],[c_8536,c_40308]) ).
tcf(c_41410,plain,
! [X0: $i] :
( s_col(sK1,sK2,X0)
| ( sK4 = iPr_def_11 )
| ( sK1 = sK2 )
| ~ s_col(sK4,iPr_def_11,X0) ),
inference(superposition,[status(thm)],[c_8538,c_40308]) ).
tcf(c_41411,plain,
! [X0: $i] :
( s_col(sK1,sK2,X0)
| ( sK1 = sK2 )
| ( midpoint(sK1,sK2) = sK4 )
| ~ s_col(sK4,midpoint(sK1,sK2),X0) ),
inference(superposition,[status(thm)],[c_8543,c_40308]) ).
tcf(c_41412,plain,
! [X0: $i] :
( s_col(sK1,sK2,X0)
| ( sK1 = sK2 )
| ( s(sK1,sK2) = sK4 )
| ~ s_col(sK4,s(sK1,sK2),X0) ),
inference(superposition,[status(thm)],[c_8635,c_40308]) ).
tcf(c_41516,plain,
( le(sK2,sK5,iPr_def_11,sK2)
| le(sK1,iPr_def_11,sK1,sK0) ),
inference(superposition,[status(thm)],[c_118,c_30707]) ).
tcf(c_41518,plain,
( le(sK2,sK5,iPr_def_11,sK2)
| ~ s_t(sK1,sK0,iPr_def_11) ),
inference(superposition,[status(thm)],[c_361,c_30707]) ).
tcf(c_41527,plain,
( le(iPr_def_10,sK0,sK1,sK0)
| le(sK2,sK5,sK5,iPr_def_10) ),
inference(superposition,[status(thm)],[c_118,c_30719]) ).
tcf(c_41529,plain,
( le(sK2,sK5,sK5,iPr_def_10)
| ~ s_t(iPr_def_10,sK1,sK0) ),
inference(superposition,[status(thm)],[c_359,c_30719]) ).
tcf(c_41536,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_41529,c_41527,c_41518,c_41516,c_41412,c_41411,c_41410,c_41409,c_41408,c_41407,c_41405,c_41404,c_41403,c_41402,c_41401,c_41400,c_41331,c_41330,c_41329,c_41328,c_41327,c_41326,c_41324,c_41323,c_41322,c_41321,c_41320,c_41319,c_41248,c_41247,c_41246,c_41245,c_41244,c_41243,c_41242,c_41241,c_41240,c_41239,c_41238,c_41237,c_41236,c_41235,c_41234,c_41233,c_41232,c_41231,c_41258,c_41229,c_41228,c_41135,c_41133,c_41132,c_41131,c_41130,c_41129,c_41098,c_41097,c_41096,c_41095,c_41094,c_41063,c_41061,c_41060,c_41059,c_41058,c_41057,c_41026,c_41024,c_41023,c_41022,c_41021,c_41020,c_41000,c_40995,c_40990,c_40985,c_40980,c_40975,c_40970,c_40965,c_40960,c_40955,c_40953,c_40949,c_40946,c_40945,c_40944,c_40942,c_40941,c_40940,c_40938,c_40937,c_40936,c_40386,c_40385,c_40384,c_40383,c_40382,c_40381,c_40380,c_40379,c_40378,c_40377,c_40376,c_40375,c_40374,c_40373,c_40372,c_40371,c_40370,c_40369,c_40368,c_40367,c_40366,c_40365,c_40364,c_40363,c_40362,c_40361,c_40360,c_40359,c_40358,c_40357,c_40356,c_40355,c_40354,c_40353,c_40352,c_40351,c_40350,c_40349,c_40348,c_40347,c_40346,c_40345,c_40344,c_40343,c_40342,c_40341,c_40340,c_40339,c_40338,c_40337,c_40336,c_40335,c_40334,c_40333,c_40332,c_40331,c_40330,c_40329,c_40328,c_40327,c_40326,c_40325,c_40324,c_40323,c_40322,c_40321,c_40320,c_40319,c_40318,c_40317,c_40316,c_40315,c_40314,c_40313,c_40312,c_40311,c_40310,c_40309,c_40308,c_40307,c_40306,c_40305,c_40304,c_40303,c_40302,c_39076,c_39075,c_39074,c_39073,c_39072,c_39071,c_39070,c_39069,c_39068,c_39067,c_39066,c_39065,c_39064,c_39063,c_39062,c_39061,c_39060,c_39059,c_39058,c_39057,c_39056,c_39055,c_39054,c_39053,c_39052,c_39051,c_39050,c_39049,c_39048,c_39047,c_39046,c_39045,c_39044,c_39043,c_39042,c_39041,c_39040,c_39039,c_39038,c_39037,c_39036,c_39035,c_39034,c_39033,c_39032,c_39031,c_39030,c_39029,c_39028,c_39027,c_39026,c_39025,c_39024,c_39023,c_39022,c_39021,c_39020,c_39019,c_39018,c_39017,c_39016,c_39015,c_39014,c_39013,c_39012,c_39011,c_39010,c_39009,c_39008,c_39007,c_39006,c_39005,c_39004,c_39003,c_39002,c_39001,c_39000,c_38999,c_38998,c_38997,c_38996,c_38995,c_38994,c_38993,c_38992,c_38991,c_38990,c_38989,c_38988,c_38987,c_38986,c_38985,c_38984,c_38983,c_38982,c_38981,c_38980,c_38979,c_38978,c_38977,c_38976,c_38975,c_38974,c_38973,c_38972,c_38971,c_38970,c_38969,c_38967,c_38966,c_38965,c_38158,c_38157,c_38156,c_38155,c_38154,c_38153,c_38152,c_38151,c_38150,c_38149,c_38148,c_38147,c_38146,c_38145,c_38144,c_38143,c_38142,c_38141,c_38140,c_38139,c_38138,c_38137,c_38136,c_38135,c_38134,c_38133,c_38132,c_38131,c_38130,c_38129,c_38128,c_38127,c_38126,c_38125,c_38124,c_38123,c_38122,c_38121,c_38120,c_38119,c_38118,c_38117,c_38116,c_38115,c_38114,c_38113,c_38112,c_38111,c_38110,c_38109,c_38108,c_38107,c_38106,c_38105,c_38104,c_38103,c_38102,c_38101,c_38100,c_38099,c_38098,c_38097,c_38096,c_38095,c_38094,c_38093,c_38092,c_38091,c_38090,c_38089,c_38088,c_38087,c_38086,c_38085,c_38084,c_38083,c_38082,c_38081,c_38080,c_38079,c_38078,c_38077,c_38076,c_38075,c_38020,c_38019,c_38016,c_38015,c_38014,c_38013,c_38012,c_38011,c_38010,c_38002,c_37945,c_37944,c_37943,c_37942,c_37941,c_37940,c_37939,c_37938,c_37937,c_37936,c_37935,c_37934,c_37933,c_37932,c_37931,c_37930,c_37929,c_37928,c_37926,c_37747,c_37746,c_37745,c_37744,c_37743,c_37742,c_37741,c_37740,c_37739,c_37738,c_37737,c_37736,c_37735,c_37734,c_37733,c_37731,c_37730,c_37660,c_37659,c_37658,c_37657,c_37656,c_37655,c_37654,c_37653,c_37652,c_37651,c_37650,c_37649,c_37648,c_37647,c_37646,c_37645,c_37644,c_37643,c_37642,c_37667,c_37640,c_37639,c_37623,c_37622,c_37603,c_37602,c_37571,c_37570,c_37569,c_37510,c_37508,c_37507,c_37506,c_37486,c_37484,c_37483,c_37482,c_37462,c_37461,c_37460,c_36678,c_36677,c_36676,c_36675,c_36674,c_36673,c_36672,c_36671,c_36670,c_36669,c_36668,c_36667,c_36666,c_36665,c_36664,c_36663,c_36662,c_36661,c_36660,c_36659,c_36658,c_36657,c_36656,c_36655,c_36654,c_36653,c_36652,c_36651,c_36650,c_36649,c_36648,c_36647,c_36646,c_36645,c_36644,c_36643,c_36642,c_36641,c_36640,c_36639,c_36638,c_36637,c_36636,c_36635,c_36634,c_36633,c_36632,c_36631,c_36630,c_36629,c_36628,c_36627,c_36626,c_36625,c_36624,c_36623,c_36622,c_36621,c_36620,c_36619,c_36618,c_36617,c_36616,c_36615,c_36614,c_36613,c_36612,c_36611,c_36610,c_36609,c_36608,c_36607,c_36606,c_36605,c_36604,c_36603,c_36602,c_36601,c_36600,c_36599,c_36598,c_36597,c_36596,c_36595,c_36594,c_36593,c_36592,c_36591,c_36590,c_36589,c_36588,c_36587,c_36586,c_36585,c_36584,c_36583,c_36582,c_36581,c_36580,c_36579,c_36578,c_36577,c_36576,c_36575,c_36574,c_36573,c_36572,c_36571,c_36570,c_36569,c_36568,c_35754,c_35753,c_35752,c_35751,c_35750,c_35749,c_35748,c_35747,c_35746,c_35745,c_35744,c_35743,c_35742,c_35741,c_35740,c_35739,c_35738,c_35737,c_35736,c_35735,c_35734,c_35733,c_35732,c_35731,c_35730,c_35729,c_35728,c_35727,c_35726,c_35725,c_35724,c_35723,c_35722,c_35721,c_35720,c_35719,c_35718,c_35717,c_35716,c_35715,c_35714,c_35713,c_35712,c_35711,c_35710,c_35709,c_35708,c_35707,c_35706,c_35705,c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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO511+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/10.39 % Computer : n016.cluster.edu
% 0.12/10.39 % Model : x86_64 x86_64
% 0.12/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.39 % Memory : 8046.5625MB
% 0.12/10.39 % OS : Linux 6.8.0-71-generic
% 0.12/10.39 % CPULimit : 300
% 0.12/10.39 % WCLimit : 300
% 0.12/10.39 % DateTime : Wed Sep 23 12:20:54 UTC 2026
% 0.16/10.40 % CPUTime :
% 0.16/10.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/10.46 Running first-order theorem proving
% 0.16/10.46 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/10.47
% 0.16/10.47 % ======== iProver multi-core TPTP/SMT =========
% 0.16/10.47
% 0.16/10.47 % Detected problem language: tptp
% 0.16/10.49 % Proving...
% 27.36/15.99 % SZS status Started for theBenchmark.p
% 27.36/15.99 % SZS status Theorem for theBenchmark.p
% 27.36/15.99
% 27.36/15.99 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 27.36/15.99
% 27.36/15.99 % ------ iProver source info
% 27.36/15.99
% 27.36/15.99 % git: date: 2026-07-19 20:42:38 +0200
% 27.36/15.99 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 27.36/15.99 % git: non_committed_changes: false
% 27.36/15.99
% 27.36/15.99 % ------ Parsing...
% 27.36/15.99 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 27.36/15.99
% 27.36/15.99 % ------ Preprocessing... sup_sim: 12 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: 2 0s sf_e pe_s pe_e %
% 27.36/15.99
% 27.36/15.99 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 27.36/15.99
% 27.36/15.99 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 27.36/15.99 % ------ Proving...
% 27.36/15.99 % ------ Problem Properties
% 27.36/15.99
% 27.36/15.99 %
% 27.36/15.99 % clauses 194
% 27.36/15.99 % conjectures 6
% 27.36/15.99 % EPR 122
% 27.36/15.99 % Horn 147
% 27.36/15.99 % unary 41
% 27.36/15.99 % binary 68
% 27.36/15.99 % lits 554
% 27.36/15.99 % lits eq 115
% 27.36/15.99 % fd_pure 0
% 27.36/15.99 % fd_pseudo 0
% 27.36/15.99 % fd_cond 0
% 27.36/15.99 % fd_pseudo_cond 58
% 27.36/15.99 % AC symbols 0
% 27.36/15.99
% 27.36/15.99 % ------ Schedule dynamic 5 is on
% 27.36/15.99
% 27.36/15.99 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 27.36/15.99
% 27.36/15.99
% 27.36/15.99 % ------
% 27.36/15.99 % Current options:
% 27.36/15.99 % ------
% 27.36/15.99
% 27.36/15.99
% 27.36/15.99 %
% 27.36/15.99
% 27.36/15.99 % ------ Proving...
% 27.36/15.99 %
% 27.36/15.99
% 27.36/15.99 % SZS status Theorem for theBenchmark.p
% 27.36/15.99
% 27.36/15.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 36.11/16.15
% 36.11/16.15
%------------------------------------------------------------------------------