%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN067-3 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 03:39:05 PM UTC 2026
% Result : Unsatisfiable 1.31s 6.19s
% Output : CNFRefutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 42
% Syntax : Number of formulae : 320 ( 3 unt; 0 def)
% Number of atoms : 1360 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 1720 ( 680 ~;1040 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 16 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-1 aty)
% Number of variables : 440 ( 0 sgn 440 !; 0 ?; 332 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( ~ big_p(a)
| big_p(sk3(X0))
| big_p(sk1(X1))
| big_p(X1)
| big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_1) ).
fof(f2,negated_conjecture,
! [X0,X1] :
( ~ big_p(a)
| big_r(X0,sk4(X0))
| big_p(sk1(X1))
| big_p(X1)
| big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_2) ).
fof(f3,negated_conjecture,
! [X0,X1] :
( ~ big_p(a)
| big_r(sk4(X0),sk3(X0))
| big_p(sk1(X1))
| big_p(X1)
| big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_3) ).
fof(f4,negated_conjecture,
! [X0,X1] :
( ~ big_p(a)
| big_r(X1,sk2(X1))
| big_p(sk3(X0))
| big_p(X1)
| big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_4) ).
fof(f5,negated_conjecture,
! [X0,X1] :
( ~ big_p(a)
| big_r(X1,sk2(X1))
| big_r(X0,sk4(X0))
| big_p(X1)
| big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_5) ).
fof(f6,negated_conjecture,
! [X0,X1] :
( ~ big_p(a)
| big_r(sk4(X0),sk3(X0))
| big_r(X1,sk2(X1))
| big_p(X1)
| big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_6) ).
fof(f7,negated_conjecture,
! [X2,X0,X1] :
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_p(sk5(X1))
| big_p(sk1(X0))
| big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_7) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] :
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(X1,sk6(X1))
| big_p(sk1(X0))
| big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_8) ).
fof(f9,negated_conjecture,
! [X2,X0,X1] :
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(sk6(X1),sk5(X1))
| big_p(sk1(X0))
| big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_9) ).
fof(f10,negated_conjecture,
! [X2,X0,X1] :
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(X0,sk2(X0))
| big_p(sk5(X1))
| big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_10) ).
fof(f11,negated_conjecture,
! [X2,X0,X1] :
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(X0,sk2(X0))
| big_r(X1,sk6(X1))
| big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_11) ).
fof(f12,negated_conjecture,
! [X2,X0,X1] :
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(sk6(X1),sk5(X1))
| big_r(X0,sk2(X0))
| big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_12) ).
fof(f13,negated_conjecture,
! [X0,X1] :
( ~ big_p(a)
| big_r(sk2(X1),sk1(X1))
| big_p(sk3(X0))
| big_p(X1)
| big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_13) ).
fof(f14,negated_conjecture,
! [X0,X1] :
( ~ big_p(a)
| big_r(sk2(X1),sk1(X1))
| big_r(X0,sk4(X0))
| big_p(X1)
| big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_14) ).
fof(f15,negated_conjecture,
! [X0,X1] :
( ~ big_p(a)
| big_r(sk4(X0),sk3(X0))
| big_r(sk2(X1),sk1(X1))
| big_p(X1)
| big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_15) ).
fof(f20,negated_conjecture,
! [X2,X0,X1] :
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(sk2(X1),sk1(X1))
| big_p(sk3(X0))
| big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_20) ).
fof(f21,negated_conjecture,
! [X2,X0,X1] :
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(sk2(X1),sk1(X1))
| big_r(X0,sk4(X0))
| big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_21) ).
fof(f22,negated_conjecture,
! [X2,X0,X1] :
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(sk4(X0),sk3(X0))
| big_p(sk1(X1))
| big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_22) ).
fof(f23,negated_conjecture,
! [X2,X0,X1] :
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(sk4(X0),sk3(X0))
| big_r(X1,sk2(X1))
| big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_23) ).
fof(f24,negated_conjecture,
! [X2,X0,X1] :
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(sk4(X0),sk3(X0))
| big_r(sk2(X1),sk1(X1))
| big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_24) ).
fof(f25,negated_conjecture,
! [X2,X0,X1] :
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(sk2(X0),sk1(X0))
| big_p(sk5(X1))
| big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_25) ).
fof(f26,negated_conjecture,
! [X2,X0,X1] :
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(sk2(X0),sk1(X0))
| big_r(X1,sk6(X1))
| big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_26) ).
fof(f27,negated_conjecture,
! [X2,X0,X1] :
( ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(sk6(X1),sk5(X1))
| big_r(sk2(X0),sk1(X0))
| big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_27) ).
fof(f28,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_r(X0,X3)
| ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_p(X2)
| big_p(sk5(X1))
| big_p(sk1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_28) ).
fof(f29,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_r(X1,X3)
| ~ big_r(X0,X2)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_p(X2)
| big_r(X1,sk2(X1))
| big_p(sk5(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_29) ).
fof(f30,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_r(X0,X3)
| ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_p(X2)
| big_r(X1,sk6(X1))
| big_p(sk1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_30) ).
fof(f31,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_r(X1,X3)
| ~ big_r(X0,X2)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_p(X2)
| big_r(X1,sk2(X1))
| big_r(X0,sk6(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_31) ).
fof(f32,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_r(X1,X3)
| ~ big_r(X0,X2)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_p(X2)
| big_r(sk2(X1),sk1(X1))
| big_p(sk5(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_32) ).
fof(f33,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_r(X1,X3)
| ~ big_r(X0,X2)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_p(X2)
| big_r(sk2(X1),sk1(X1))
| big_r(X0,sk6(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_33) ).
fof(f34,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_r(X0,X3)
| ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_p(X2)
| big_r(sk6(X1),sk5(X1))
| big_p(sk1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_34) ).
fof(f35,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_r(X0,X3)
| ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_p(X2)
| big_r(sk6(X1),sk5(X1))
| big_r(X0,sk2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_35) ).
fof(f36,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_r(X0,X3)
| ~ big_r(X1,X2)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_p(X2)
| big_r(sk6(X1),sk5(X1))
| big_r(sk2(X0),sk1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_36) ).
fof(f37,negated_conjecture,
big_p(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_37) ).
fof(f38,negated_conjecture,
( ~ big_p(sk9)
| ~ big_p(sk7)
| big_p(sk8)
| big_p(sk10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_38) ).
fof(f39,negated_conjecture,
( ~ big_p(sk9)
| ~ big_p(sk7)
| big_r(sk9,sk10)
| big_p(sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_39) ).
fof(f40,negated_conjecture,
( ~ big_p(sk9)
| ~ big_p(sk7)
| big_r(sk7,sk8)
| big_p(sk10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_40) ).
fof(f41,negated_conjecture,
( ~ big_p(sk9)
| ~ big_p(sk7)
| big_r(sk9,sk10)
| big_r(sk7,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_41) ).
fof(f42,negated_conjecture,
! [X0,X1] :
( ~ big_r(sk9,X1)
| ~ big_r(X1,X0)
| ~ big_p(sk7)
| ~ big_p(X0)
| big_p(sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_42) ).
fof(f43,negated_conjecture,
! [X0,X1] :
( ~ big_r(sk9,X1)
| ~ big_r(X1,X0)
| ~ big_p(sk7)
| ~ big_p(X0)
| big_r(sk7,sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_43) ).
fof(f44,negated_conjecture,
! [X0,X1] :
( ~ big_r(sk7,X1)
| ~ big_r(X1,X0)
| ~ big_p(sk9)
| ~ big_p(X0)
| big_p(sk10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_44) ).
fof(f45,negated_conjecture,
! [X0,X1] :
( ~ big_r(sk7,X1)
| ~ big_r(X1,X0)
| ~ big_p(sk9)
| ~ big_p(X0)
| big_r(sk9,sk10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_45) ).
fof(f46,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ big_r(sk9,X2)
| ~ big_r(sk7,X3)
| ~ big_r(X3,X1)
| ~ big_r(X2,X0)
| ~ big_p(X1)
| ~ big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38_46) ).
tcf(c_95,negated_conjecture,
! [X0: $i,X1: $i] :
( big_p(X1)
| big_p(X0)
| big_p(sk3(X1))
| big_p(sk1(X0))
| ~ big_p(a) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_96,negated_conjecture,
! [X0: $i,X1: $i] :
( big_p(X1)
| big_p(X0)
| big_p(sk1(X1))
| big_r(X0,sk4(X0))
| ~ big_p(a) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_97,negated_conjecture,
! [X0: $i,X1: $i] :
( big_p(X1)
| big_p(X0)
| big_p(sk1(X1))
| big_r(sk4(X0),sk3(X0))
| ~ big_p(a) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_98,negated_conjecture,
! [X0: $i,X1: $i] :
( big_p(X1)
| big_p(X0)
| big_p(sk3(X1))
| big_r(X0,sk2(X0))
| ~ big_p(a) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_99,negated_conjecture,
! [X0: $i,X1: $i] :
( big_p(X1)
| big_p(X0)
| big_r(X1,sk4(X1))
| big_r(X0,sk2(X0))
| ~ big_p(a) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_100,negated_conjecture,
! [X0: $i,X1: $i] :
( big_p(X1)
| big_p(X0)
| big_r(X1,sk2(X1))
| big_r(sk4(X0),sk3(X0))
| ~ big_p(a) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_101,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_p(sk5(X0))
| big_p(sk1(X2))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_102,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_p(sk1(X2))
| big_r(X0,sk6(X0))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_103,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_p(sk1(X2))
| big_r(sk6(X0),sk5(X0))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_104,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_p(sk5(X0))
| big_r(X2,sk2(X2))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_105,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_r(X2,sk2(X2))
| big_r(X0,sk6(X0))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_106,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_r(X2,sk2(X2))
| big_r(sk6(X0),sk5(X0))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_107,negated_conjecture,
! [X0: $i,X1: $i] :
( big_p(X1)
| big_p(X0)
| big_p(sk3(X1))
| big_r(sk2(X0),sk1(X0))
| ~ big_p(a) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_108,negated_conjecture,
! [X0: $i,X1: $i] :
( big_p(X1)
| big_p(X0)
| big_r(X1,sk4(X1))
| big_r(sk2(X0),sk1(X0))
| ~ big_p(a) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_109,negated_conjecture,
! [X0: $i,X1: $i] :
( big_p(X1)
| big_p(X0)
| big_r(sk2(X1),sk1(X1))
| big_r(sk4(X0),sk3(X0))
| ~ big_p(a) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_114,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_p(sk3(X2))
| big_r(sk2(X0),sk1(X0))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_115,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_r(X2,sk4(X2))
| big_r(sk2(X0),sk1(X0))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_p(sk1(X0))
| big_r(sk4(X2),sk3(X2))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_117,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_r(X0,sk2(X0))
| big_r(sk4(X2),sk3(X2))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_118,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_r(sk2(X0),sk1(X0))
| big_r(sk4(X2),sk3(X2))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_119,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_p(sk5(X0))
| big_r(sk2(X2),sk1(X2))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_120,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_r(X0,sk6(X0))
| big_r(sk2(X2),sk1(X2))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_121,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_r(sk6(X0),sk5(X0))
| big_r(sk2(X2),sk1(X2))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_122,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_p(sk5(X0))
| big_p(sk1(X2))
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_123,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_p(sk5(X2))
| big_r(X0,sk2(X0))
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_124,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_p(sk1(X2))
| big_r(X0,sk6(X0))
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_125,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_r(X2,sk6(X2))
| big_r(X0,sk2(X0))
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_126,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_p(sk5(X2))
| big_r(sk2(X0),sk1(X0))
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_127,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_r(X2,sk6(X2))
| big_r(sk2(X0),sk1(X0))
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_128,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_p(sk1(X2))
| big_r(sk6(X0),sk5(X0))
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_129,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_r(X2,sk2(X2))
| big_r(sk6(X0),sk5(X0))
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_130,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_r(sk6(X0),sk5(X0))
| big_r(sk2(X2),sk1(X2))
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_131,negated_conjecture,
big_p(a),
inference(cnf_transformation,[],[f37]) ).
tcf(c_132,negated_conjecture,
( big_p(sk8)
| big_p(sk10)
| ~ big_p(sk9)
| ~ big_p(sk7) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_133,negated_conjecture,
( big_p(sk8)
| big_r(sk9,sk10)
| ~ big_p(sk9)
| ~ big_p(sk7) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_134,negated_conjecture,
( big_p(sk10)
| big_r(sk7,sk8)
| ~ big_p(sk9)
| ~ big_p(sk7) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_135,negated_conjecture,
( big_r(sk9,sk10)
| big_r(sk7,sk8)
| ~ big_p(sk9)
| ~ big_p(sk7) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_136,negated_conjecture,
! [X0: $i,X1: $i] :
( big_p(sk8)
| ~ big_p(sk7)
| ~ big_p(X1)
| ~ big_r(sk9,X0)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_137,negated_conjecture,
! [X0: $i,X1: $i] :
( big_r(sk7,sk8)
| ~ big_p(sk7)
| ~ big_p(X1)
| ~ big_r(sk9,X0)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_138,negated_conjecture,
! [X0: $i,X1: $i] :
( big_p(sk10)
| ~ big_p(sk9)
| ~ big_p(X1)
| ~ big_r(sk7,X0)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_139,negated_conjecture,
! [X0: $i,X1: $i] :
( big_r(sk9,sk10)
| ~ big_p(sk9)
| ~ big_p(X1)
| ~ big_r(sk7,X0)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_140,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(sk9,X0)
| ~ big_r(sk7,X2)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_155,negated_conjecture,
! [X0: $i,X1: $i] :
( big_p(X1)
| big_p(X0)
| big_p(sk3(X1))
| big_p(sk1(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_95,c_131,c_95]) ).
tcf(c_157,negated_conjecture,
! [X0: $i,X1: $i] :
( big_p(X1)
| big_p(X0)
| big_p(sk3(X1))
| big_r(X0,sk2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_98,c_131,c_98]) ).
tcf(c_159,negated_conjecture,
! [X0: $i,X1: $i] :
( big_p(X1)
| big_p(X0)
| big_p(sk1(X1))
| big_r(X0,sk4(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_96,c_131,c_96]) ).
tcf(c_161,negated_conjecture,
! [X0: $i,X1: $i] :
( big_p(X1)
| big_p(X0)
| big_p(sk3(X1))
| big_r(sk2(X0),sk1(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_107,c_131,c_107]) ).
tcf(c_163,negated_conjecture,
! [X0: $i,X1: $i] :
( big_p(X1)
| big_p(X0)
| big_r(X1,sk4(X1))
| big_r(X0,sk2(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_99,c_131,c_99]) ).
tcf(c_165,negated_conjecture,
! [X0: $i,X1: $i] :
( big_p(X1)
| big_p(X0)
| big_p(sk1(X1))
| big_r(sk4(X0),sk3(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_97,c_131,c_97]) ).
tcf(c_167,negated_conjecture,
! [X0: $i,X1: $i] :
( big_p(X1)
| big_p(X0)
| big_r(X1,sk4(X1))
| big_r(sk2(X0),sk1(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_108,c_131,c_108]) ).
tcf(c_169,negated_conjecture,
! [X0: $i,X1: $i] :
( big_p(X1)
| big_p(X0)
| big_r(X1,sk2(X1))
| big_r(sk4(X0),sk3(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_100,c_131,c_100]) ).
tcf(c_171,negated_conjecture,
! [X0: $i,X1: $i] :
( big_p(X1)
| big_p(X0)
| big_r(sk2(X1),sk1(X1))
| big_r(sk4(X0),sk3(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_109,c_131,c_109]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_p(sk5(X0))
| big_p(sk1(X2))
| ~ big_r(X0,X1)
| ~ big_p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_101,c_131,c_101]) ).
tcf(c_176,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_p(sk5(X0))
| big_p(sk1(X2))
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(renaming,[status(thm)],[c_175]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_p(sk5(X0))
| big_r(X2,sk2(X2))
| ~ big_r(X0,X1)
| ~ big_p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_104,c_131,c_104]) ).
tcf(c_182,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_p(sk5(X0))
| big_r(X2,sk2(X2))
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(renaming,[status(thm)],[c_181]) ).
tcf(c_183,plain,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_p(sk1(X2))
| big_r(X0,sk6(X0))
| ~ big_r(X0,X1)
| ~ big_p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_102,c_131,c_102]) ).
tcf(c_184,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_p(sk1(X2))
| big_r(X0,sk6(X0))
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(renaming,[status(thm)],[c_183]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_p(sk5(X0))
| big_r(sk2(X2),sk1(X2))
| ~ big_r(X0,X1)
| ~ big_p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_119,c_131,c_119]) ).
tcf(c_186,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_p(sk5(X0))
| big_r(sk2(X2),sk1(X2))
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(renaming,[status(thm)],[c_185]) ).
tcf(c_187,plain,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_p(sk1(X0))
| big_r(sk4(X2),sk3(X2))
| ~ big_r(X0,X1)
| ~ big_p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_116,c_131,c_116]) ).
tcf(c_188,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_p(sk1(X0))
| big_r(sk4(X2),sk3(X2))
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(renaming,[status(thm)],[c_187]) ).
tcf(c_189,plain,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_p(sk3(X2))
| big_r(sk2(X0),sk1(X0))
| ~ big_r(X0,X1)
| ~ big_p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_114,c_131,c_114]) ).
tcf(c_190,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_p(sk3(X2))
| big_r(sk2(X0),sk1(X0))
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(renaming,[status(thm)],[c_189]) ).
tcf(c_193,plain,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_r(X2,sk2(X2))
| big_r(X0,sk6(X0))
| ~ big_r(X0,X1)
| ~ big_p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_105,c_131,c_105]) ).
tcf(c_194,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_r(X2,sk2(X2))
| big_r(X0,sk6(X0))
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(renaming,[status(thm)],[c_193]) ).
tcf(c_195,plain,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_p(sk1(X2))
| big_r(sk6(X0),sk5(X0))
| ~ big_r(X0,X1)
| ~ big_p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_103,c_131,c_103]) ).
tcf(c_196,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_p(sk1(X2))
| big_r(sk6(X0),sk5(X0))
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(renaming,[status(thm)],[c_195]) ).
tcf(c_197,plain,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_r(X0,sk6(X0))
| big_r(sk2(X2),sk1(X2))
| ~ big_r(X0,X1)
| ~ big_p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_120,c_131,c_120]) ).
tcf(c_198,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_r(X0,sk6(X0))
| big_r(sk2(X2),sk1(X2))
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(renaming,[status(thm)],[c_197]) ).
tcf(c_199,plain,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_r(X0,sk2(X0))
| big_r(sk4(X2),sk3(X2))
| ~ big_r(X0,X1)
| ~ big_p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_117,c_131,c_117]) ).
tcf(c_200,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_r(X0,sk2(X0))
| big_r(sk4(X2),sk3(X2))
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(renaming,[status(thm)],[c_199]) ).
tcf(c_201,plain,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_r(X2,sk4(X2))
| big_r(sk2(X0),sk1(X0))
| ~ big_r(X0,X1)
| ~ big_p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_115,c_131,c_115]) ).
tcf(c_202,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_r(X2,sk4(X2))
| big_r(sk2(X0),sk1(X0))
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(renaming,[status(thm)],[c_201]) ).
tcf(c_203,plain,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_r(X2,sk2(X2))
| big_r(sk6(X0),sk5(X0))
| ~ big_r(X0,X1)
| ~ big_p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_106,c_131,c_106]) ).
tcf(c_204,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_r(X2,sk2(X2))
| big_r(sk6(X0),sk5(X0))
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(renaming,[status(thm)],[c_203]) ).
tcf(c_205,plain,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_r(sk6(X0),sk5(X0))
| big_r(sk2(X2),sk1(X2))
| ~ big_r(X0,X1)
| ~ big_p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_121,c_131,c_121]) ).
tcf(c_206,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_r(sk6(X0),sk5(X0))
| big_r(sk2(X2),sk1(X2))
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(renaming,[status(thm)],[c_205]) ).
tcf(c_207,plain,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_r(sk2(X0),sk1(X0))
| big_r(sk4(X2),sk3(X2))
| ~ big_r(X0,X1)
| ~ big_p(X1) ),
inference(global_subsumption_just,[status(thm)],[c_118,c_131,c_118]) ).
tcf(c_208,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( big_p(X2)
| big_r(sk2(X0),sk1(X0))
| big_r(sk4(X2),sk3(X2))
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(renaming,[status(thm)],[c_207]) ).
tcf(c_209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_p(sk5(X0))
| big_p(sk1(X2))
| ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3) ),
inference(global_subsumption_just,[status(thm)],[c_122,c_131,c_122]) ).
tcf(c_210,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_p(sk5(X0))
| big_p(sk1(X2))
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1) ),
inference(renaming,[status(thm)],[c_209]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_p(sk1(X2))
| big_r(X0,sk6(X0))
| ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3) ),
inference(global_subsumption_just,[status(thm)],[c_124,c_131,c_124]) ).
tcf(c_212,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_p(sk1(X2))
| big_r(X0,sk6(X0))
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1) ),
inference(renaming,[status(thm)],[c_211]) ).
tcf(c_213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_p(sk5(X2))
| big_r(X0,sk2(X0))
| ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3) ),
inference(global_subsumption_just,[status(thm)],[c_123,c_131,c_123]) ).
tcf(c_214,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_p(sk5(X2))
| big_r(X0,sk2(X0))
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1) ),
inference(renaming,[status(thm)],[c_213]) ).
tcf(c_215,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_p(sk1(X2))
| big_r(sk6(X0),sk5(X0))
| ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3) ),
inference(global_subsumption_just,[status(thm)],[c_128,c_131,c_128]) ).
tcf(c_216,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_p(sk1(X2))
| big_r(sk6(X0),sk5(X0))
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1) ),
inference(renaming,[status(thm)],[c_215]) ).
tcf(c_217,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_p(sk5(X2))
| big_r(sk2(X0),sk1(X0))
| ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3) ),
inference(global_subsumption_just,[status(thm)],[c_126,c_131,c_126]) ).
tcf(c_218,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_p(sk5(X2))
| big_r(sk2(X0),sk1(X0))
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1) ),
inference(renaming,[status(thm)],[c_217]) ).
tcf(c_219,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_r(X2,sk6(X2))
| big_r(X0,sk2(X0))
| ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3) ),
inference(global_subsumption_just,[status(thm)],[c_125,c_131,c_125]) ).
tcf(c_220,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_r(X2,sk6(X2))
| big_r(X0,sk2(X0))
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1) ),
inference(renaming,[status(thm)],[c_219]) ).
tcf(c_221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_r(X2,sk2(X2))
| big_r(sk6(X0),sk5(X0))
| ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3) ),
inference(global_subsumption_just,[status(thm)],[c_129,c_131,c_129]) ).
tcf(c_222,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_r(X2,sk2(X2))
| big_r(sk6(X0),sk5(X0))
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1) ),
inference(renaming,[status(thm)],[c_221]) ).
tcf(c_223,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_r(X2,sk6(X2))
| big_r(sk2(X0),sk1(X0))
| ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3) ),
inference(global_subsumption_just,[status(thm)],[c_127,c_131,c_127]) ).
tcf(c_224,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_r(X2,sk6(X2))
| big_r(sk2(X0),sk1(X0))
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1) ),
inference(renaming,[status(thm)],[c_223]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_r(sk6(X0),sk5(X0))
| big_r(sk2(X2),sk1(X2))
| ~ big_r(X0,X1)
| ~ big_r(X2,X3)
| ~ big_p(X1)
| ~ big_p(X3) ),
inference(global_subsumption_just,[status(thm)],[c_130,c_131,c_130]) ).
tcf(c_226,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( big_r(sk6(X0),sk5(X0))
| big_r(sk2(X2),sk1(X2))
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_r(X2,X3)
| ~ big_r(X0,X1) ),
inference(renaming,[status(thm)],[c_225]) ).
tcf(c_673,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_10
| ~ big_p(X1)
| big_r(sk2(X0),sk1(X0))
| ~ big_r(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_226]) ).
tcf(c_674,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ~ big_p(X1)
| big_r(sk6(X0),sk5(X0))
| ~ big_r(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_226]) ).
tcf(c_675,negated_conjecture,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_226]) ).
tcf(c_676,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ~ big_p(X1)
| big_r(X0,sk6(X0))
| ~ big_r(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_224]) ).
tcf(c_677,negated_conjecture,
( iPr_def_12
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_224]) ).
tcf(c_678,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_13
| ~ big_p(X1)
| big_r(X0,sk2(X0))
| ~ big_r(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_222]) ).
tcf(c_679,negated_conjecture,
( iPr_def_13
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_222]) ).
tcf(c_680,negated_conjecture,
( iPr_def_13
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_220]) ).
tcf(c_681,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_14
| big_p(sk5(X0))
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_218]) ).
tcf(c_682,negated_conjecture,
( iPr_def_14
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_218]) ).
tcf(c_683,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_15
| big_p(sk1(X0))
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_216]) ).
tcf(c_684,negated_conjecture,
( iPr_def_15
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_216]) ).
tcf(c_685,negated_conjecture,
( iPr_def_14
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_214]) ).
tcf(c_686,negated_conjecture,
( iPr_def_15
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_212]) ).
tcf(c_687,negated_conjecture,
( iPr_def_15
| iPr_def_14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_210]) ).
tcf(c_688,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_16
| big_p(X0)
| big_r(sk4(X0),sk3(X0)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_208]) ).
tcf(c_689,negated_conjecture,
( iPr_def_16
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_208]) ).
tcf(c_690,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_17
| big_p(X0)
| big_r(sk2(X0),sk1(X0)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_206]) ).
tcf(c_691,negated_conjecture,
( iPr_def_17
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_206]) ).
tcf(c_692,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_18
| big_p(X0)
| big_r(X0,sk2(X0)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_204]) ).
tcf(c_693,negated_conjecture,
( iPr_def_18
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_204]) ).
tcf(c_694,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_19
| big_p(X0)
| big_r(X0,sk4(X0)) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_202]) ).
tcf(c_696,negated_conjecture,
( iPr_def_16
| iPr_def_13 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_200]) ).
tcf(c_697,negated_conjecture,
( iPr_def_17
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_198]) ).
tcf(c_698,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_20
| big_p(sk1(X0))
| big_p(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_196]) ).
tcf(c_699,negated_conjecture,
( iPr_def_20
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_196]) ).
tcf(c_700,negated_conjecture,
( iPr_def_18
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_194]) ).
tcf(c_702,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_21
| big_p(sk3(X0))
| big_p(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_190]) ).
tcf(c_704,negated_conjecture,
( iPr_def_16
| iPr_def_15 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_188]) ).
tcf(c_705,negated_conjecture,
( iPr_def_17
| iPr_def_14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_186]) ).
tcf(c_706,negated_conjecture,
( iPr_def_20
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_184]) ).
tcf(c_707,negated_conjecture,
( iPr_def_18
| iPr_def_14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_182]) ).
tcf(c_710,negated_conjecture,
( iPr_def_20
| iPr_def_14 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_176]) ).
tcf(c_712,negated_conjecture,
( iPr_def_17
| iPr_def_16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_171]) ).
tcf(c_713,negated_conjecture,
( iPr_def_18
| iPr_def_16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_169]) ).
tcf(c_714,negated_conjecture,
( iPr_def_19
| iPr_def_17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_167]) ).
tcf(c_715,negated_conjecture,
( iPr_def_20
| iPr_def_16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_165]) ).
tcf(c_716,negated_conjecture,
( iPr_def_19
| iPr_def_18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_163]) ).
tcf(c_717,negated_conjecture,
( iPr_def_21
| iPr_def_17 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_161]) ).
tcf(c_718,negated_conjecture,
( iPr_def_20
| iPr_def_19 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_159]) ).
tcf(c_719,negated_conjecture,
( iPr_def_21
| iPr_def_18 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_157]) ).
tcf(c_720,negated_conjecture,
( iPr_def_21
| iPr_def_20 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_155]) ).
tcf(c_721,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_22
| ~ big_p(X1)
| ~ big_r(sk7,X0)
| ~ big_r(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_140]) ).
tcf(c_722,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_23
| ~ big_p(X1)
| ~ big_r(sk9,X0)
| ~ big_r(X0,X1) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_140]) ).
tcf(c_723,negated_conjecture,
( iPr_def_23
| iPr_def_22 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_140]) ).
tcf(c_724,negated_conjecture,
( iPr_def_22
| big_r(sk9,sk10)
| ~ big_p(sk9) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_139]) ).
tcf(c_725,negated_conjecture,
( iPr_def_22
| big_p(sk10)
| ~ big_p(sk9) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_138]) ).
tcf(c_726,negated_conjecture,
( iPr_def_23
| big_r(sk7,sk8)
| ~ big_p(sk7) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_137]) ).
tcf(c_727,negated_conjecture,
( iPr_def_23
| big_p(sk8)
| ~ big_p(sk7) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_136]) ).
tcf(c_728,negated_conjecture,
( iPr_def_11
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_675]) ).
tcf(c_731,negated_conjecture,
( iPr_def_12
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_677]) ).
tcf(c_734,negated_conjecture,
( iPr_def_13
| iPr_def_11 ),
inference(demodulation,[status(thm)],[c_679]) ).
tcf(c_737,negated_conjecture,
( iPr_def_13
| iPr_def_12 ),
inference(demodulation,[status(thm)],[c_680]) ).
tcf(c_740,negated_conjecture,
( iPr_def_14
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_682]) ).
tcf(c_743,negated_conjecture,
( iPr_def_15
| iPr_def_11 ),
inference(demodulation,[status(thm)],[c_684]) ).
tcf(c_746,negated_conjecture,
( iPr_def_14
| iPr_def_13 ),
inference(demodulation,[status(thm)],[c_685]) ).
tcf(c_749,negated_conjecture,
( iPr_def_15
| iPr_def_12 ),
inference(demodulation,[status(thm)],[c_686]) ).
tcf(c_752,negated_conjecture,
( iPr_def_15
| iPr_def_14 ),
inference(demodulation,[status(thm)],[c_687]) ).
tcf(c_755,negated_conjecture,
( iPr_def_16
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_689]) ).
tcf(c_758,negated_conjecture,
( iPr_def_17
| iPr_def_11 ),
inference(demodulation,[status(thm)],[c_691]) ).
tcf(c_761,negated_conjecture,
( iPr_def_18
| iPr_def_11 ),
inference(demodulation,[status(thm)],[c_693]) ).
tcf(c_767,negated_conjecture,
( iPr_def_16
| iPr_def_13 ),
inference(demodulation,[status(thm)],[c_696]) ).
tcf(c_770,negated_conjecture,
( iPr_def_17
| iPr_def_12 ),
inference(demodulation,[status(thm)],[c_697]) ).
tcf(c_773,negated_conjecture,
( iPr_def_20
| iPr_def_11 ),
inference(demodulation,[status(thm)],[c_699]) ).
tcf(c_774,negated_conjecture,
! [X0: $i,X1: $i] :
( big_r(sk6(X0),sk5(X0))
| ~ iPr_def_11
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(demodulation,[status(thm)],[c_674]) ).
tcf(c_776,negated_conjecture,
( iPr_def_18
| iPr_def_12 ),
inference(demodulation,[status(thm)],[c_700]) ).
tcf(c_783,negated_conjecture,
! [X0: $i,X1: $i] :
( big_r(sk2(X0),sk1(X0))
| ~ iPr_def_10
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(demodulation,[status(thm)],[c_673]) ).
tcf(c_785,negated_conjecture,
( iPr_def_16
| iPr_def_15 ),
inference(demodulation,[status(thm)],[c_704]) ).
tcf(c_788,negated_conjecture,
( iPr_def_17
| iPr_def_14 ),
inference(demodulation,[status(thm)],[c_705]) ).
tcf(c_791,negated_conjecture,
( iPr_def_20
| iPr_def_12 ),
inference(demodulation,[status(thm)],[c_706]) ).
tcf(c_792,negated_conjecture,
! [X0: $i,X1: $i] :
( big_r(X0,sk6(X0))
| ~ iPr_def_12
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(demodulation,[status(thm)],[c_676]) ).
tcf(c_794,negated_conjecture,
( iPr_def_18
| iPr_def_14 ),
inference(demodulation,[status(thm)],[c_707]) ).
tcf(c_798,negated_conjecture,
! [X0: $i,X1: $i] :
( big_r(X0,sk2(X0))
| ~ iPr_def_13
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(demodulation,[status(thm)],[c_678]) ).
tcf(c_803,negated_conjecture,
( iPr_def_20
| iPr_def_14 ),
inference(demodulation,[status(thm)],[c_710]) ).
tcf(c_804,negated_conjecture,
! [X0: $i,X1: $i] :
( big_p(sk5(X0))
| ~ iPr_def_14
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(demodulation,[status(thm)],[c_681]) ).
tcf(c_807,negated_conjecture,
! [X0: $i,X1: $i] :
( big_p(sk1(X0))
| ~ iPr_def_15
| ~ big_p(X1)
| ~ big_r(X0,X1) ),
inference(demodulation,[status(thm)],[c_683]) ).
tcf(c_809,negated_conjecture,
( iPr_def_17
| iPr_def_16 ),
inference(demodulation,[status(thm)],[c_712]) ).
tcf(c_812,negated_conjecture,
( iPr_def_18
| iPr_def_16 ),
inference(demodulation,[status(thm)],[c_713]) ).
tcf(c_815,negated_conjecture,
( iPr_def_19
| iPr_def_17 ),
inference(demodulation,[status(thm)],[c_714]) ).
tcf(c_818,negated_conjecture,
( iPr_def_20
| iPr_def_16 ),
inference(demodulation,[status(thm)],[c_715]) ).
tcf(c_819,negated_conjecture,
! [X0: $i] :
( big_p(X0)
| big_r(sk4(X0),sk3(X0))
| ~ iPr_def_16 ),
inference(demodulation,[status(thm)],[c_688]) ).
tcf(c_821,negated_conjecture,
( iPr_def_19
| iPr_def_18 ),
inference(demodulation,[status(thm)],[c_716]) ).
tcf(c_824,negated_conjecture,
( iPr_def_21
| iPr_def_17 ),
inference(demodulation,[status(thm)],[c_717]) ).
tcf(c_825,negated_conjecture,
! [X0: $i] :
( big_p(X0)
| big_r(sk2(X0),sk1(X0))
| ~ iPr_def_17 ),
inference(demodulation,[status(thm)],[c_690]) ).
tcf(c_827,negated_conjecture,
( iPr_def_20
| iPr_def_19 ),
inference(demodulation,[status(thm)],[c_718]) ).
tcf(c_828,negated_conjecture,
! [X0: $i] :
( big_p(X0)
| big_r(X0,sk4(X0))
| ~ iPr_def_19 ),
inference(demodulation,[status(thm)],[c_694]) ).
tcf(c_830,negated_conjecture,
( iPr_def_21
| iPr_def_18 ),
inference(demodulation,[status(thm)],[c_719]) ).
tcf(c_831,negated_conjecture,
! [X0: $i] :
( big_p(X0)
| big_r(X0,sk2(X0))
| ~ iPr_def_18 ),
inference(demodulation,[status(thm)],[c_692]) ).
tcf(c_833,negated_conjecture,
( iPr_def_21
| iPr_def_20 ),
inference(demodulation,[status(thm)],[c_720]) ).
tcf(c_834,negated_conjecture,
! [X0: $i] :
( big_p(X0)
| big_p(sk1(X0))
| ~ iPr_def_20 ),
inference(demodulation,[status(thm)],[c_698]) ).
tcf(c_835,negated_conjecture,
! [X0: $i] :
( big_p(X0)
| big_p(sk3(X0))
| ~ iPr_def_21 ),
inference(demodulation,[status(thm)],[c_702]) ).
tcf(c_836,negated_conjecture,
( iPr_def_23
| iPr_def_22 ),
inference(demodulation,[status(thm)],[c_723]) ).
tcf(c_839,negated_conjecture,
( iPr_def_22
| big_r(sk9,sk10)
| ~ big_p(sk9) ),
inference(demodulation,[status(thm)],[c_724]) ).
tcf(c_841,negated_conjecture,
( iPr_def_22
| big_p(sk10)
| ~ big_p(sk9) ),
inference(demodulation,[status(thm)],[c_725]) ).
tcf(c_842,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_22
| ~ big_p(X1)
| ~ big_r(sk7,X0)
| ~ big_r(X0,X1) ),
inference(demodulation,[status(thm)],[c_721]) ).
tcf(c_843,negated_conjecture,
( iPr_def_23
| big_r(sk7,sk8)
| ~ big_p(sk7) ),
inference(demodulation,[status(thm)],[c_726]) ).
tcf(c_845,negated_conjecture,
( iPr_def_23
| big_p(sk8)
| ~ big_p(sk7) ),
inference(demodulation,[status(thm)],[c_727]) ).
tcf(c_846,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_23
| ~ big_p(X1)
| ~ big_r(sk9,X0)
| ~ big_r(X0,X1) ),
inference(demodulation,[status(thm)],[c_722]) ).
tcf(c_847,negated_conjecture,
( big_r(sk9,sk10)
| big_r(sk7,sk8)
| ~ big_p(sk9)
| ~ big_p(sk7) ),
inference(demodulation,[status(thm)],[c_135]) ).
tcf(c_848,negated_conjecture,
( big_p(sk10)
| big_r(sk7,sk8)
| ~ big_p(sk9)
| ~ big_p(sk7) ),
inference(demodulation,[status(thm)],[c_134]) ).
tcf(c_849,negated_conjecture,
( big_p(sk8)
| big_r(sk9,sk10)
| ~ big_p(sk9)
| ~ big_p(sk7) ),
inference(demodulation,[status(thm)],[c_133]) ).
tcf(c_860,plain,
( big_p(sk7)
| big_p(sk1(sk7))
| ~ iPr_def_20 ),
inference(instantiation,[status(thm)],[c_834]) ).
tcf(c_861,plain,
( big_p(sk7)
| big_r(sk2(sk7),sk1(sk7))
| ~ iPr_def_17 ),
inference(instantiation,[status(thm)],[c_825]) ).
tcf(c_862,plain,
( big_p(sk7)
| big_r(sk7,sk2(sk7))
| ~ iPr_def_18 ),
inference(instantiation,[status(thm)],[c_831]) ).
tcf(c_869,plain,
! [X0: $i] :
( ~ iPr_def_22
| ~ big_p(X0)
| ~ big_r(sk7,sk2(sk7))
| ~ big_r(sk2(sk7),X0) ),
inference(instantiation,[status(thm)],[c_842]) ).
tcf(c_880,plain,
( big_p(sk7)
| big_p(sk3(sk7))
| ~ iPr_def_21 ),
inference(instantiation,[status(thm)],[c_835]) ).
tcf(c_881,plain,
( big_p(sk7)
| big_r(sk4(sk7),sk3(sk7))
| ~ iPr_def_16 ),
inference(instantiation,[status(thm)],[c_819]) ).
tcf(c_882,plain,
( big_p(sk7)
| big_r(sk7,sk4(sk7))
| ~ iPr_def_19 ),
inference(instantiation,[status(thm)],[c_828]) ).
tcf(c_949,plain,
! [X0: $i] :
( ~ iPr_def_22
| ~ big_p(X0)
| ~ big_r(sk7,sk4(sk7))
| ~ big_r(sk4(sk7),X0) ),
inference(instantiation,[status(thm)],[c_842]) ).
tcf(c_969,plain,
( big_p(sk9)
| big_r(sk9,sk4(sk9))
| ~ iPr_def_19 ),
inference(instantiation,[status(thm)],[c_828]) ).
tcf(c_970,plain,
( big_p(sk9)
| big_r(sk4(sk9),sk3(sk9))
| ~ iPr_def_16 ),
inference(instantiation,[status(thm)],[c_819]) ).
tcf(c_971,plain,
( big_p(sk9)
| big_p(sk3(sk9))
| ~ iPr_def_21 ),
inference(instantiation,[status(thm)],[c_835]) ).
tcf(c_972,plain,
( big_p(sk9)
| big_r(sk9,sk2(sk9))
| ~ iPr_def_18 ),
inference(instantiation,[status(thm)],[c_831]) ).
tcf(c_973,plain,
( big_p(sk9)
| big_r(sk2(sk9),sk1(sk9))
| ~ iPr_def_17 ),
inference(instantiation,[status(thm)],[c_825]) ).
tcf(c_974,plain,
( big_p(sk9)
| big_p(sk1(sk9))
| ~ iPr_def_20 ),
inference(instantiation,[status(thm)],[c_834]) ).
tcf(c_1125,plain,
! [X0: $i] :
( ~ iPr_def_23
| ~ big_p(X0)
| ~ big_r(sk9,sk2(sk9))
| ~ big_r(sk2(sk9),X0) ),
inference(instantiation,[status(thm)],[c_846]) ).
tcf(c_1163,plain,
( big_r(sk6(sk9),sk5(sk9))
| ~ iPr_def_11
| ~ big_p(sk10)
| ~ big_r(sk9,sk10) ),
inference(instantiation,[status(thm)],[c_774]) ).
tcf(c_1164,plain,
( big_r(sk9,sk6(sk9))
| ~ iPr_def_12
| ~ big_p(sk10)
| ~ big_r(sk9,sk10) ),
inference(instantiation,[status(thm)],[c_792]) ).
tcf(c_1166,plain,
( big_r(sk9,sk2(sk9))
| ~ iPr_def_13
| ~ big_p(sk10)
| ~ big_r(sk9,sk10) ),
inference(instantiation,[status(thm)],[c_798]) ).
tcf(c_1167,plain,
( big_r(sk2(sk9),sk1(sk9))
| ~ iPr_def_10
| ~ big_p(sk10)
| ~ big_r(sk9,sk10) ),
inference(instantiation,[status(thm)],[c_783]) ).
tcf(c_1168,plain,
( big_p(sk1(sk9))
| ~ iPr_def_15
| ~ big_p(sk10)
| ~ big_r(sk9,sk10) ),
inference(instantiation,[status(thm)],[c_807]) ).
tcf(c_1232,plain,
( big_r(sk6(sk7),sk5(sk7))
| ~ iPr_def_11
| ~ big_p(sk8)
| ~ big_r(sk7,sk8) ),
inference(instantiation,[status(thm)],[c_774]) ).
tcf(c_1233,plain,
( big_r(sk7,sk6(sk7))
| ~ iPr_def_12
| ~ big_p(sk8)
| ~ big_r(sk7,sk8) ),
inference(instantiation,[status(thm)],[c_792]) ).
tcf(c_1234,plain,
( big_p(sk5(sk7))
| ~ iPr_def_14
| ~ big_p(sk8)
| ~ big_r(sk7,sk8) ),
inference(instantiation,[status(thm)],[c_804]) ).
tcf(c_1235,plain,
( big_r(sk7,sk2(sk7))
| ~ iPr_def_13
| ~ big_p(sk8)
| ~ big_r(sk7,sk8) ),
inference(instantiation,[status(thm)],[c_798]) ).
tcf(c_1236,plain,
( big_r(sk2(sk7),sk1(sk7))
| ~ iPr_def_10
| ~ big_p(sk8)
| ~ big_r(sk7,sk8) ),
inference(instantiation,[status(thm)],[c_783]) ).
tcf(c_1237,plain,
( big_p(sk1(sk7))
| ~ iPr_def_15
| ~ big_p(sk8)
| ~ big_r(sk7,sk8) ),
inference(instantiation,[status(thm)],[c_807]) ).
tcf(c_1302,plain,
! [X0: $i] :
( ~ iPr_def_22
| ~ big_p(X0)
| ~ big_r(sk7,sk6(sk7))
| ~ big_r(sk6(sk7),X0) ),
inference(instantiation,[status(thm)],[c_842]) ).
tcf(c_1554,plain,
( big_p(sk8)
| big_r(sk6(sk9),sk5(sk9))
| ~ iPr_def_11
| ~ big_p(sk9)
| ~ big_p(sk7)
| ~ big_p(sk10) ),
inference(superposition,[status(thm)],[c_849,c_774]) ).
tcf(c_1704,plain,
( big_p(sk8)
| big_r(sk2(sk9),sk1(sk9))
| ~ iPr_def_10
| ~ big_p(sk9)
| ~ big_p(sk7)
| ~ big_p(sk10) ),
inference(superposition,[status(thm)],[c_849,c_783]) ).
tcf(c_1705,plain,
( big_p(sk10)
| big_r(sk2(sk7),sk1(sk7))
| ~ iPr_def_10
| ~ big_p(sk9)
| ~ big_p(sk7)
| ~ big_p(sk8) ),
inference(superposition,[status(thm)],[c_848,c_783]) ).
tcf(c_1760,plain,
( big_r(sk7,sk8)
| big_r(sk2(sk9),sk1(sk9))
| ~ iPr_def_10
| ~ big_p(sk9)
| ~ big_p(sk7)
| ~ big_p(sk10) ),
inference(superposition,[status(thm)],[c_847,c_783]) ).
tcf(c_1761,plain,
( big_r(sk7,sk8)
| big_r(sk6(sk9),sk5(sk9))
| ~ iPr_def_11
| ~ big_p(sk9)
| ~ big_p(sk7)
| ~ big_p(sk10) ),
inference(superposition,[status(thm)],[c_847,c_774]) ).
tcf(c_1930,plain,
( big_r(sk7,sk8)
| big_r(sk9,sk6(sk9))
| ~ iPr_def_12
| ~ big_p(sk9)
| ~ big_p(sk7)
| ~ big_p(sk10) ),
inference(superposition,[status(thm)],[c_847,c_792]) ).
tcf(c_1960,plain,
( big_p(sk8)
| big_r(sk9,sk6(sk9))
| ~ iPr_def_12
| ~ big_p(sk9)
| ~ big_p(sk7)
| ~ big_p(sk10) ),
inference(superposition,[status(thm)],[c_849,c_792]) ).
tcf(c_1986,plain,
( ~ iPr_def_22
| ~ big_p(sk5(sk7))
| ~ big_r(sk7,sk6(sk7))
| ~ big_r(sk6(sk7),sk5(sk7)) ),
inference(instantiation,[status(thm)],[c_1302]) ).
tcf(c_2083,plain,
( iPr_def_22
| big_r(sk9,sk6(sk9))
| ~ iPr_def_12
| ~ big_p(sk9)
| ~ big_p(sk10) ),
inference(superposition,[status(thm)],[c_839,c_792]) ).
tcf(c_2084,plain,
( iPr_def_22
| big_r(sk2(sk9),sk1(sk9))
| ~ iPr_def_10
| ~ big_p(sk9)
| ~ big_p(sk10) ),
inference(superposition,[status(thm)],[c_839,c_783]) ).
tcf(c_2085,plain,
( iPr_def_22
| big_r(sk6(sk9),sk5(sk9))
| ~ iPr_def_11
| ~ big_p(sk9)
| ~ big_p(sk10) ),
inference(superposition,[status(thm)],[c_839,c_774]) ).
tcf(c_2143,plain,
( iPr_def_23
| big_r(sk7,sk6(sk7))
| ~ iPr_def_12
| ~ big_p(sk7)
| ~ big_p(sk8) ),
inference(superposition,[status(thm)],[c_843,c_792]) ).
tcf(c_2144,plain,
( iPr_def_23
| big_r(sk2(sk7),sk1(sk7))
| ~ iPr_def_10
| ~ big_p(sk7)
| ~ big_p(sk8) ),
inference(superposition,[status(thm)],[c_843,c_783]) ).
tcf(c_2145,plain,
( iPr_def_23
| big_r(sk6(sk7),sk5(sk7))
| ~ iPr_def_11
| ~ big_p(sk7)
| ~ big_p(sk8) ),
inference(superposition,[status(thm)],[c_843,c_774]) ).
tcf(c_2521,plain,
( iPr_def_22
| big_p(sk5(sk9))
| ~ iPr_def_14
| ~ big_p(sk9)
| ~ big_p(sk10) ),
inference(superposition,[status(thm)],[c_839,c_804]) ).
tcf(c_2522,plain,
( big_r(sk7,sk8)
| big_p(sk5(sk9))
| ~ iPr_def_14
| ~ big_p(sk9)
| ~ big_p(sk7)
| ~ big_p(sk10) ),
inference(superposition,[status(thm)],[c_847,c_804]) ).
tcf(c_2523,plain,
( big_p(sk8)
| big_p(sk5(sk9))
| ~ iPr_def_14
| ~ big_p(sk9)
| ~ big_p(sk7)
| ~ big_p(sk10) ),
inference(superposition,[status(thm)],[c_849,c_804]) ).
tcf(c_2524,plain,
( iPr_def_23
| big_p(sk5(sk7))
| ~ iPr_def_14
| ~ big_p(sk7)
| ~ big_p(sk8) ),
inference(superposition,[status(thm)],[c_843,c_804]) ).
tcf(c_2658,plain,
! [X0: $i] :
( ~ iPr_def_23
| ~ big_p(X0)
| ~ big_r(sk9,sk6(sk9))
| ~ big_r(sk6(sk9),X0) ),
inference(instantiation,[status(thm)],[c_846]) ).
tcf(c_2738,plain,
( iPr_def_22
| big_p(sk1(sk9))
| ~ iPr_def_15
| ~ big_p(sk9)
| ~ big_p(sk10) ),
inference(superposition,[status(thm)],[c_839,c_807]) ).
tcf(c_2739,plain,
( big_r(sk7,sk8)
| big_p(sk1(sk9))
| ~ iPr_def_15
| ~ big_p(sk9)
| ~ big_p(sk7)
| ~ big_p(sk10) ),
inference(superposition,[status(thm)],[c_847,c_807]) ).
tcf(c_2740,plain,
( big_p(sk8)
| big_p(sk1(sk9))
| ~ iPr_def_15
| ~ big_p(sk9)
| ~ big_p(sk7)
| ~ big_p(sk10) ),
inference(superposition,[status(thm)],[c_849,c_807]) ).
tcf(c_2741,plain,
( iPr_def_23
| big_p(sk1(sk7))
| ~ iPr_def_15
| ~ big_p(sk7)
| ~ big_p(sk8) ),
inference(superposition,[status(thm)],[c_843,c_807]) ).
tcf(c_2742,plain,
( big_p(sk10)
| big_p(sk1(sk7))
| ~ iPr_def_15
| ~ big_p(sk9)
| ~ big_p(sk7)
| ~ big_p(sk8) ),
inference(superposition,[status(thm)],[c_848,c_807]) ).
tcf(c_2976,plain,
( iPr_def_22
| big_r(sk9,sk2(sk9))
| ~ iPr_def_13
| ~ big_p(sk9)
| ~ big_p(sk10) ),
inference(superposition,[status(thm)],[c_839,c_798]) ).
tcf(c_2977,plain,
( big_r(sk7,sk8)
| big_r(sk9,sk2(sk9))
| ~ iPr_def_13
| ~ big_p(sk9)
| ~ big_p(sk7)
| ~ big_p(sk10) ),
inference(superposition,[status(thm)],[c_847,c_798]) ).
tcf(c_2979,plain,
( iPr_def_23
| big_r(sk7,sk2(sk7))
| ~ iPr_def_13
| ~ big_p(sk7)
| ~ big_p(sk8) ),
inference(superposition,[status(thm)],[c_843,c_798]) ).
tcf(c_2980,plain,
( big_p(sk10)
| big_r(sk7,sk2(sk7))
| ~ iPr_def_13
| ~ big_p(sk9)
| ~ big_p(sk7)
| ~ big_p(sk8) ),
inference(superposition,[status(thm)],[c_848,c_798]) ).
tcf(c_3672,plain,
( big_p(sk8)
| big_p(sk5(sk9))
| ~ iPr_def_14
| ~ big_p(sk9)
| ~ big_p(sk7) ),
inference(global_subsumption_just,[status(thm)],[c_2523,c_132,c_2523]) ).
tcf(c_3732,plain,
( big_p(sk8)
| big_p(sk1(sk9))
| ~ iPr_def_15
| ~ big_p(sk9)
| ~ big_p(sk7) ),
inference(global_subsumption_just,[status(thm)],[c_2740,c_132,c_2740]) ).
tcf(c_3806,plain,
( iPr_def_22
| big_p(sk5(sk9))
| ~ iPr_def_14
| ~ big_p(sk9) ),
inference(global_subsumption_just,[status(thm)],[c_2521,c_841,c_2521]) ).
tcf(c_3852,plain,
( iPr_def_22
| big_p(sk1(sk9))
| ~ iPr_def_15
| ~ big_p(sk9) ),
inference(global_subsumption_just,[status(thm)],[c_2738,c_841,c_2738]) ).
tcf(c_3878,plain,
( iPr_def_23
| big_p(sk1(sk7))
| ~ big_p(sk7) ),
inference(global_subsumption_just,[status(thm)],[c_2741,c_743,c_749,c_752,c_836,c_845,c_843,c_1234,c_1233,c_1232,c_1986,c_2741]) ).
tcf(c_3918,plain,
( ~ iPr_def_23
| ~ big_p(sk5(sk9))
| ~ big_r(sk9,sk6(sk9))
| ~ big_r(sk6(sk9),sk5(sk9)) ),
inference(instantiation,[status(thm)],[c_2658]) ).
tcf(c_3926,plain,
( iPr_def_22
| big_r(sk9,sk6(sk9))
| ~ iPr_def_12
| ~ big_p(sk9) ),
inference(global_subsumption_just,[status(thm)],[c_2083,c_841,c_2083]) ).
tcf(c_4387,plain,
( iPr_def_22
| big_r(sk9,sk2(sk9))
| ~ big_p(sk9) ),
inference(global_subsumption_just,[status(thm)],[c_2976,c_734,c_737,c_746,c_836,c_841,c_839,c_1164,c_1163,c_2976,c_3806,c_3918]) ).
tcf(c_4471,plain,
( ~ iPr_def_23
| ~ big_p(sk1(sk9))
| ~ big_r(sk9,sk2(sk9))
| ~ big_r(sk2(sk9),sk1(sk9)) ),
inference(instantiation,[status(thm)],[c_1125]) ).
tcf(c_4498,plain,
( iPr_def_23
| big_r(sk7,sk2(sk7))
| ~ big_p(sk7) ),
inference(global_subsumption_just,[status(thm)],[c_2979,c_734,c_737,c_746,c_836,c_845,c_843,c_1234,c_1233,c_1232,c_1986,c_2979]) ).
tcf(c_4882,plain,
( big_p(sk8)
| big_r(sk9,sk6(sk9))
| ~ big_p(sk7)
| ~ big_p(sk9) ),
inference(global_subsumption_just,[status(thm)],[c_1960,c_132,c_133,c_731,c_737,c_749,c_845,c_1168,c_1167,c_1166,c_1164,c_4471]) ).
tcf(c_4883,plain,
( big_p(sk8)
| big_r(sk9,sk6(sk9))
| ~ big_p(sk9)
| ~ big_p(sk7) ),
inference(renaming,[status(thm)],[c_4882]) ).
tcf(c_5096,plain,
( ~ iPr_def_22
| ~ big_p(sk3(sk7))
| ~ big_r(sk7,sk4(sk7))
| ~ big_r(sk4(sk7),sk3(sk7)) ),
inference(instantiation,[status(thm)],[c_949]) ).
tcf(c_5422,plain,
! [X0: $i] :
( ~ iPr_def_23
| ~ big_p(X0)
| ~ big_r(sk9,sk4(sk9))
| ~ big_r(sk4(sk9),X0) ),
inference(instantiation,[status(thm)],[c_846]) ).
tcf(c_5446,plain,
( big_r(sk7,sk8)
| big_p(sk5(sk9))
| ~ big_p(sk7)
| ~ big_p(sk9) ),
inference(global_subsumption_just,[status(thm)],[c_2522,c_134,c_135,c_740,c_746,c_752,c_843,c_1168,c_1760,c_2522,c_2977,c_4471]) ).
tcf(c_5447,plain,
( big_r(sk7,sk8)
| big_p(sk5(sk9))
| ~ big_p(sk9)
| ~ big_p(sk7) ),
inference(renaming,[status(thm)],[c_5446]) ).
tcf(c_5593,plain,
( ~ iPr_def_23
| ~ big_p(sk3(sk9))
| ~ big_r(sk9,sk4(sk9))
| ~ big_r(sk4(sk9),sk3(sk9)) ),
inference(instantiation,[status(thm)],[c_5422]) ).
tcf(c_5810,plain,
( big_r(sk7,sk8)
| big_p(sk1(sk9))
| ~ big_p(sk7)
| ~ big_p(sk9) ),
inference(global_subsumption_just,[status(thm)],[c_2739,c_134,c_743,c_749,c_843,c_1761,c_1930,c_2739,c_3918,c_5447]) ).
tcf(c_5811,plain,
( big_r(sk7,sk8)
| big_p(sk1(sk9))
| ~ big_p(sk9)
| ~ big_p(sk7) ),
inference(renaming,[status(thm)],[c_5810]) ).
tcf(c_5812,plain,
( big_r(sk7,sk8)
| big_p(sk1(sk9))
| ~ big_p(sk7) ),
inference(global_subsumption_just,[status(thm)],[c_5811,c_815,c_818,c_821,c_824,c_827,c_830,c_833,c_843,c_974,c_973,c_972,c_971,c_970,c_969,c_4471,c_5593,c_5811]) ).
tcf(c_5822,plain,
( big_p(sk1(sk9))
| big_r(sk7,sk2(sk7))
| ~ iPr_def_13
| ~ big_p(sk7)
| ~ big_p(sk8) ),
inference(superposition,[status(thm)],[c_5812,c_798]) ).
tcf(c_5823,plain,
( big_p(sk1(sk9))
| big_p(sk1(sk7))
| ~ iPr_def_15
| ~ big_p(sk7)
| ~ big_p(sk8) ),
inference(superposition,[status(thm)],[c_5812,c_807]) ).
tcf(c_5826,plain,
( big_p(sk1(sk9))
| big_r(sk2(sk7),sk1(sk7))
| ~ iPr_def_10
| ~ big_p(sk7)
| ~ big_p(sk8) ),
inference(superposition,[status(thm)],[c_5812,c_783]) ).
tcf(c_6013,plain,
( ~ iPr_def_22
| ~ big_p(sk1(sk7))
| ~ big_r(sk7,sk2(sk7))
| ~ big_r(sk2(sk7),sk1(sk7)) ),
inference(instantiation,[status(thm)],[c_869]) ).
tcf(c_6073,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6013,c_5826,c_5822,c_5823,c_5593,c_5447,c_5096,c_4883,c_4498,c_4471,c_4387,c_3926,c_3918,c_3878,c_3852,c_3806,c_3732,c_3672,c_2977,c_2980,c_2979,c_2742,c_2741,c_2523,c_2524,c_2144,c_2145,c_2143,c_2084,c_2085,c_1986,c_1930,c_1760,c_1761,c_1704,c_1705,c_1554,c_1232,c_1233,c_1234,c_1235,c_1236,c_1237,c_1163,c_1166,c_969,c_970,c_971,c_972,c_973,c_974,c_882,c_881,c_880,c_862,c_861,c_860,c_843,c_845,c_841,c_836,c_833,c_830,c_827,c_824,c_821,c_818,c_815,c_812,c_809,c_803,c_794,c_791,c_788,c_785,c_776,c_773,c_770,c_767,c_761,c_758,c_755,c_752,c_749,c_746,c_743,c_740,c_737,c_734,c_731,c_728,c_133,c_134,c_132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN067-3 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Fri Sep 25 00:07:52 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/5.43
% 0.14/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43
% 0.14/5.43 % Detected problem language: tptp
% 0.14/5.44 % Proving...
% 1.31/6.19 % SZS status Started for theBenchmark.p
% 1.31/6.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.31/6.19
% 1.31/6.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.31/6.19
% 1.31/6.19 % ------ iProver source info
% 1.31/6.19
% 1.31/6.19 % git: date: 2026-07-19 20:42:38 +0200
% 1.31/6.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.31/6.19 % git: non_committed_changes: false
% 1.31/6.19
% 1.31/6.19 % ------ Parsing...% successful
% 1.31/6.19
% 1.31/6.19
% 1.31/6.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.31/6.19
% 1.31/6.19 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.31/6.19
% 1.31/6.19 % ------ Preprocessing... gs_s sp: 78 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.31/6.19 % ------ Proving...
% 1.31/6.19 % ------ Problem Properties
% 1.31/6.19
% 1.31/6.19 %
% 1.31/6.19 % clauses 60
% 1.31/6.19 % conjectures 60
% 1.31/6.19 % EPR 48
% 1.31/6.19 % Horn 9
% 1.31/6.19 % unary 1
% 1.31/6.19 % binary 37
% 1.31/6.19 % lits 153
% 1.31/6.19 % lits eq 0
% 1.31/6.19 % fd_pure 0
% 1.31/6.19 % fd_pseudo 0
% 1.31/6.19 % fd_cond 0
% 1.31/6.19 % fd_pseudo_cond 0
% 1.31/6.19 % AC symbols 0
% 1.31/6.19
% 1.31/6.19 % ------ Schedule dynamic 5 is on
% 1.31/6.19
% 1.31/6.19 % ------ no equalities: superposition off
% 1.31/6.19
% 1.31/6.19 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.31/6.19
% 1.31/6.19
% 1.31/6.19 % ------
% 1.31/6.19 % Current options:
% 1.31/6.19 % ------
% 1.31/6.19
% 1.31/6.19
% 1.31/6.19 %
% 1.31/6.19
% 1.31/6.19 % ------ Proving...
% 1.31/6.19 %
% 1.31/6.19
% 1.31/6.19 % SZS status Unsatisfiable for theBenchmark.p
% 1.31/6.19
% 1.31/6.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.54/6.20
% 3.54/6.20
%------------------------------------------------------------------------------