%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP296-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.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 01:32:45 PM UTC 2026
% Result : Unsatisfiable 16.75s 4.77s
% Output : CNFRefutation 16.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 53
% Syntax : Number of formulae : 328 ( 111 unt; 12 def)
% Number of atoms : 970 ( 595 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 494 ( 180 ~; 314 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 84 ( 0 sgn 84 !; 0 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c8,sk_c4) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c7 = multiply(sk_c8,sk_c4)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c4
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c4 = multiply(sk_c3,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c8 = inverse(sk_c3)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c8 = multiply(sk_c5,sk_c6)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c6 = inverse(sk_c5)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c8,sk_c4) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = multiply(sk_c8,sk_c4)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c4
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c4 = multiply(sk_c3,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c8 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c6 = inverse(sk_c5)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c8,sk_c4) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = multiply(sk_c8,sk_c4)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c4
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c4 = multiply(sk_c3,sk_c8)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f33]) ).
fof(f37,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = multiply(sk_c5,sk_c6)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c6 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c8,sk_c4) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = multiply(sk_c8,sk_c4)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c4
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c4 = multiply(sk_c3,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c8 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c6 = inverse(sk_c5)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c6 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c8,sk_c4) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c7 = multiply(sk_c8,sk_c4)
| sk_c6 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c4
| multiply(sk_c2,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c4 = multiply(sk_c3,sk_c8)
| sk_c6 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c8 = inverse(sk_c3)
| sk_c6 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c8 = multiply(sk_c5,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c2,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c6 = inverse(sk_c5)
| sk_c6 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( multiply(sk_c6,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( multiply(sk_c8,sk_c4) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c7 = multiply(sk_c8,sk_c4)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c4
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c4 = multiply(sk_c3,sk_c8)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c8 = multiply(sk_c5,sk_c6)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c6 = inverse(sk_c5)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( inverse(X4) != sk_c6
| multiply(X4,sk_c6) != sk_c8
| inverse(X3) != sk_c8
| multiply(X3,sk_c8) != X2
| multiply(sk_c8,X2) != sk_c7
| multiply(sk_c6,sk_c8) != sk_c7
| inverse(X1) != sk_c8
| multiply(X1,sk_c8) != sk_c6
| multiply(sk_c8,sk_c6) != sk_c7
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
! [X2,X3,X0,X1,X4] :
( sk_c6 != inverse(X4)
| sk_c8 != multiply(X4,sk_c6)
| sk_c8 != inverse(X3)
| multiply(X3,sk_c8) != X2
| sk_c7 != multiply(sk_c8,X2)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c8 != inverse(X1)
| sk_c6 != multiply(X1,sk_c8)
| sk_c7 != multiply(sk_c8,sk_c6)
| inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6 ),
inference(reorient_equations,[],[f77]) ).
fof(f79,plain,
! [X3,X0,X1,X4] :
( sk_c6 != inverse(X4)
| sk_c8 != multiply(X4,sk_c6)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(sk_c8,multiply(X3,sk_c8))
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c8 != inverse(X1)
| sk_c6 != multiply(X1,sk_c8)
| sk_c7 != multiply(sk_c8,sk_c6)
| inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6 ),
inference(equality_resolution,[],[f78]) ).
tcf(c_89,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_90,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_92,negated_conjecture,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_93,negated_conjecture,
( ( multiply(sk_c8,sk_c4) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_94,negated_conjecture,
( ( multiply(sk_c3,sk_c8) = sk_c4 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_96,negated_conjecture,
( ( multiply(sk_c5,sk_c6) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_98,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_99,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c4) = sk_c7 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_100,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c8) = sk_c4 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_101,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_102,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_103,negated_conjecture,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_104,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_105,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c8,sk_c4) = sk_c7 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_106,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c4 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_108,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_109,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_110,negated_conjecture,
( ( multiply(sk_c6,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_111,negated_conjecture,
( ( multiply(sk_c8,sk_c4) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_112,negated_conjecture,
( ( multiply(sk_c3,sk_c8) = sk_c4 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_113,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_114,negated_conjecture,
( ( multiply(sk_c5,sk_c6) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_115,negated_conjecture,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_116,negated_conjecture,
( ( multiply(sk_c2,sk_c8) = sk_c6 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_117,negated_conjecture,
( ( multiply(sk_c2,sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c4) = sk_c7 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_118,negated_conjecture,
( ( multiply(sk_c2,sk_c8) = sk_c6 )
| ( multiply(sk_c3,sk_c8) = sk_c4 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_119,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_120,negated_conjecture,
( ( multiply(sk_c2,sk_c8) = sk_c6 )
| ( multiply(sk_c5,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_121,negated_conjecture,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c2,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_122,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c6,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_123,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c8,sk_c4) = sk_c7 ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_124,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c4 ) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_125,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c3) = sk_c8 ) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_126,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_127,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_128,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(X3) != sk_c8 )
| ( inverse(X2) != sk_c8 )
| ( inverse(X1) != sk_c6 )
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c6) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(X3,sk_c8) != sk_c6 )
| ( multiply(X1,sk_c6) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 )
| ( multiply(sk_c8,multiply(X2,sk_c8)) != sk_c7 ) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_473,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_128]) ).
tcf(c_474,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_128]) ).
tcf(c_475,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_128]) ).
tcf(c_476,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_128]) ).
tcf(c_477,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( multiply(sk_c6,sk_c8) != sk_c7 )
| ( multiply(sk_c8,sk_c6) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_128]) ).
tcf(c_478,definition,
iPr_def_14 = multiply(sk_c8,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_479,definition,
iPr_def_15 = multiply(sk_c8,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_480,definition,
iPr_def_16 = multiply(sk_c6,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_481,definition,
iPr_def_17 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_482,definition,
iPr_def_18 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_483,definition,
iPr_def_19 = multiply(sk_c5,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_484,definition,
iPr_def_20 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_485,definition,
iPr_def_21 = multiply(sk_c3,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_486,definition,
iPr_def_22 = multiply(sk_c8,sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_487,definition,
iPr_def_23 = multiply(sk_c2,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_488,definition,
iPr_def_24 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_489,definition,
iPr_def_25 = multiply(sk_c1,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_490,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_16 != sk_c7 )
| ( iPr_def_15 != sk_c7 )
| ( iPr_def_14 != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_477,c_480,c_479,c_478]) ).
tcf(c_491,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_476]) ).
tcf(c_492,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_475]) ).
tcf(c_493,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_474]) ).
tcf(c_494,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_473]) ).
tcf(c_495,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_127,c_482,c_481]) ).
tcf(c_496,negated_conjecture,
( ( iPr_def_19 = sk_c8 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_126,c_483]) ).
tcf(c_497,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_125,c_484]) ).
tcf(c_498,negated_conjecture,
( ( iPr_def_21 = sk_c4 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_124,c_485]) ).
tcf(c_499,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_123,c_486]) ).
tcf(c_500,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_122]) ).
tcf(c_501,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_121,c_487]) ).
tcf(c_502,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_120]) ).
tcf(c_503,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_119]) ).
tcf(c_504,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_21 = sk_c4 ) ),
inference(demodulation,[status(thm)],[c_118]) ).
tcf(c_505,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_22 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_117]) ).
tcf(c_506,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_116]) ).
tcf(c_507,negated_conjecture,
( ( iPr_def_17 = sk_c6 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_115]) ).
tcf(c_508,negated_conjecture,
( ( iPr_def_19 = sk_c8 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_114]) ).
tcf(c_509,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_113]) ).
tcf(c_510,negated_conjecture,
( ( iPr_def_21 = sk_c4 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_112]) ).
tcf(c_511,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_512,negated_conjecture,
( ( iPr_def_16 = sk_c7 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_513,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_109,c_488]) ).
tcf(c_514,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_516,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_21 = sk_c4 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_517,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_22 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_105]) ).
tcf(c_518,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_519,negated_conjecture,
( ( iPr_def_25 = sk_c7 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_103,c_489]) ).
tcf(c_520,negated_conjecture,
( ( iPr_def_25 = sk_c7 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_521,negated_conjecture,
( ( iPr_def_25 = sk_c7 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_522,negated_conjecture,
( ( iPr_def_25 = sk_c7 )
| ( iPr_def_21 = sk_c4 ) ),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_523,negated_conjecture,
( ( iPr_def_25 = sk_c7 )
| ( iPr_def_22 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_524,negated_conjecture,
( ( iPr_def_25 = sk_c7 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_525,negated_conjecture,
( ( iPr_def_17 = sk_c6 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_526,negated_conjecture,
( ( iPr_def_19 = sk_c8 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_527,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_528,negated_conjecture,
( ( iPr_def_21 = sk_c4 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_529,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_530,negated_conjecture,
( ( iPr_def_16 = sk_c7 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_531,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_532,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_834,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_502,c_479]) ).
tcf(c_862,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_23) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_502,c_483]) ).
tcf(c_877,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_503,c_480]) ).
tcf(c_878,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_503,c_479]) ).
tcf(c_1012,plain,
( ( sk_c6 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_504,c_486]) ).
tcf(c_1027,plain,
! [X0: $i,X1: $i] :
( ( sk_c6 = X0 )
| ( sk_c6 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_532]) ).
tcf(c_1034,plain,
! [X0: $i] :
( ( sk_c6 = X0 )
| ( sk_c6 != sk_c6 )
| ( X0 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_1027]) ).
tcf(c_1035,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_531]) ).
tcf(c_1051,plain,
( ( sk_c6 = iPr_def_17 )
| ( iPr_def_17 != sk_c6 )
| ( sk_c6 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_1034]) ).
tcf(c_1053,plain,
multiply(iPr_def_20,sk_c3) = identity,
inference(superposition,[status(thm)],[c_484,c_90]) ).
tcf(c_1054,plain,
multiply(iPr_def_17,sk_c5) = identity,
inference(superposition,[status(thm)],[c_481,c_90]) ).
tcf(c_1055,plain,
multiply(iPr_def_24,sk_c1) = identity,
inference(superposition,[status(thm)],[c_488,c_90]) ).
tcf(c_1056,plain,
multiply(iPr_def_18,sk_c2) = identity,
inference(superposition,[status(thm)],[c_482,c_90]) ).
tcf(c_1174,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_514,c_489]) ).
tcf(c_1180,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c7) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_514,c_478]) ).
tcf(c_1272,plain,
( ( sk_c8 = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_516,c_486]) ).
tcf(c_1280,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_532]) ).
tcf(c_1794,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_526,c_502]) ).
tcf(c_1795,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c6 = iPr_def_17 )
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_526,c_501]) ).
tcf(c_1905,plain,
! [X0: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != sk_c6 )
| ( X0 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_1280]) ).
tcf(c_2149,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_21 )
| ( inverse(sk_c3) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_485,c_492]) ).
tcf(c_2150,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_25 )
| ( inverse(sk_c1) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_489,c_492]) ).
tcf(c_2165,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_25 )
| ( sk_c8 != iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_2150,c_488]) ).
tcf(c_2169,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_21 )
| ( sk_c8 != iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_2149,c_484]) ).
tcf(c_2218,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_16 )
| ( inverse(sk_c6) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_480,c_493]) ).
tcf(c_2219,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_21 )
| ( inverse(sk_c3) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_485,c_493]) ).
tcf(c_2220,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_25 )
| ( inverse(sk_c1) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_489,c_493]) ).
tcf(c_2235,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_25 )
| ( sk_c8 != iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_2220,c_488]) ).
tcf(c_2239,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_21 )
| ( sk_c8 != iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_2219,c_484]) ).
tcf(c_2323,plain,
( ~ iPr_def_10
| ( sk_c8 != sk_c6 )
| ( inverse(identity) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_89,c_494]) ).
tcf(c_2324,plain,
( ~ iPr_def_10
| ( sk_c8 != identity )
| ( inverse(inverse(sk_c6)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_90,c_494]) ).
tcf(c_2402,plain,
( ~ iPr_def_13
| ( inverse(sk_c3) != sk_c8 )
| ( multiply(sk_c8,iPr_def_21) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_485,c_491]) ).
tcf(c_2403,plain,
( ~ iPr_def_13
| ( inverse(sk_c1) != sk_c8 )
| ( multiply(sk_c8,iPr_def_25) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_489,c_491]) ).
tcf(c_2405,plain,
( ~ iPr_def_13
| ( inverse(identity) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_89,c_491]) ).
tcf(c_2418,plain,
( ~ iPr_def_13
| ( sk_c8 != iPr_def_24 )
| ( multiply(sk_c8,iPr_def_25) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_2403,c_488]) ).
tcf(c_2422,plain,
( ~ iPr_def_13
| ( sk_c8 != iPr_def_20 )
| ( multiply(sk_c8,iPr_def_21) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_2402,c_484]) ).
tcf(c_2559,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_23 != sk_c6 )
| ( iPr_def_14 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_1905]) ).
tcf(c_2696,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_478,c_91]) ).
tcf(c_2697,plain,
! [X0: $i] : multiply(sk_c6,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_480,c_91]) ).
tcf(c_2698,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c4,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_486,c_91]) ).
tcf(c_2699,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c8,X0)) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_485,c_91]) ).
tcf(c_2700,plain,
! [X0: $i] : multiply(sk_c5,multiply(sk_c6,X0)) = multiply(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_483,c_91]) ).
tcf(c_2702,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c6,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_479,c_91]) ).
tcf(c_2703,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c8,X0)) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_487,c_91]) ).
tcf(c_2705,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_90,c_91]) ).
tcf(c_2707,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1053,c_91]) ).
tcf(c_2708,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1054,c_91]) ).
tcf(c_2709,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1055,c_91]) ).
tcf(c_2710,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1056,c_91]) ).
tcf(c_2716,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2710,c_89]) ).
tcf(c_2717,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2709,c_89]) ).
tcf(c_2718,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2708,c_89]) ).
tcf(c_2719,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2707,c_89]) ).
tcf(c_3539,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(sk_c6,iPr_def_19) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1794,c_480]) ).
tcf(c_4245,plain,
multiply(iPr_def_18,iPr_def_23) = sk_c8,
inference(superposition,[status(thm)],[c_487,c_2716]) ).
tcf(c_4248,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(iPr_def_23,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_4245,c_91]) ).
tcf(c_4250,plain,
multiply(iPr_def_24,iPr_def_25) = sk_c8,
inference(superposition,[status(thm)],[c_489,c_2717]) ).
tcf(c_4253,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(iPr_def_25,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_4250,c_91]) ).
tcf(c_4255,plain,
multiply(iPr_def_17,iPr_def_19) = sk_c6,
inference(superposition,[status(thm)],[c_483,c_2718]) ).
tcf(c_4258,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_19,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_4255,c_91]) ).
tcf(c_4260,plain,
multiply(iPr_def_20,iPr_def_21) = sk_c8,
inference(superposition,[status(thm)],[c_485,c_2719]) ).
tcf(c_4263,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_21,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_4260,c_91]) ).
tcf(c_4355,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_834,c_91]) ).
tcf(c_5166,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_19) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_862,c_2718]) ).
tcf(c_5167,plain,
( ( sk_c6 = iPr_def_23 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_5166,c_4255]) ).
tcf(c_5296,plain,
( ( sk_c8 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c7 != iPr_def_16 )
| ( inverse(iPr_def_23) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_877,c_493]) ).
tcf(c_5297,plain,
( ( sk_c8 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c6 != iPr_def_16 )
| ( inverse(iPr_def_23) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_877,c_492]) ).
tcf(c_7240,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1174,c_2717]) ).
tcf(c_7241,plain,
( ( sk_c8 = iPr_def_24 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_7240,c_4250]) ).
tcf(c_7410,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_520,c_1180]) ).
tcf(c_7424,plain,
( ( sk_c8 = iPr_def_19 )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_7410,c_4250]) ).
tcf(c_10970,plain,
( ~ iPr_def_13
| ( inverse(sk_c7) != sk_c8 )
| ( multiply(iPr_def_14,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_2696,c_491]) ).
tcf(c_11257,plain,
multiply(sk_c6,iPr_def_15) = multiply(iPr_def_16,sk_c6),
inference(superposition,[status(thm)],[c_479,c_2697]) ).
tcf(c_11889,plain,
multiply(sk_c3,iPr_def_14) = multiply(iPr_def_21,sk_c7),
inference(superposition,[status(thm)],[c_478,c_2699]) ).
tcf(c_12193,plain,
multiply(iPr_def_20,multiply(iPr_def_21,sk_c7)) = iPr_def_14,
inference(superposition,[status(thm)],[c_11889,c_2719]) ).
tcf(c_12262,plain,
multiply(sk_c5,iPr_def_16) = multiply(iPr_def_19,sk_c8),
inference(superposition,[status(thm)],[c_480,c_2700]) ).
tcf(c_13144,plain,
multiply(sk_c8,iPr_def_16) = multiply(iPr_def_15,sk_c8),
inference(superposition,[status(thm)],[c_480,c_2702]) ).
tcf(c_13153,plain,
multiply(sk_c8,multiply(iPr_def_16,sk_c6)) = multiply(iPr_def_15,iPr_def_15),
inference(superposition,[status(thm)],[c_11257,c_2702]) ).
tcf(c_13453,plain,
multiply(sk_c2,iPr_def_14) = multiply(iPr_def_23,sk_c7),
inference(superposition,[status(thm)],[c_478,c_2703]) ).
tcf(c_13454,plain,
multiply(sk_c2,iPr_def_22) = multiply(iPr_def_23,sk_c4),
inference(superposition,[status(thm)],[c_486,c_2703]) ).
tcf(c_13708,plain,
multiply(iPr_def_18,multiply(iPr_def_23,sk_c7)) = iPr_def_14,
inference(superposition,[status(thm)],[c_13453,c_2716]) ).
tcf(c_13711,plain,
multiply(iPr_def_18,multiply(iPr_def_23,sk_c4)) = iPr_def_22,
inference(superposition,[status(thm)],[c_13454,c_2716]) ).
tcf(c_17603,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c6 = iPr_def_17 ) ),
inference(global_subsumption_just,[status(thm)],[c_1795,c_501,c_525,c_1035,c_1051,c_2559]) ).
tcf(c_17624,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_19) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_17603,c_3539]) ).
tcf(c_17674,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c6 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_17624,c_4255]) ).
tcf(c_18111,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_17674,c_17603]) ).
tcf(c_18336,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_14) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_18111,c_4245]) ).
tcf(c_20924,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2705,c_89]) ).
tcf(c_20929,plain,
multiply(inverse(sk_c8),iPr_def_14) = sk_c7,
inference(superposition,[status(thm)],[c_478,c_20924]) ).
tcf(c_20930,plain,
multiply(inverse(sk_c6),iPr_def_16) = sk_c8,
inference(superposition,[status(thm)],[c_480,c_20924]) ).
tcf(c_20931,plain,
multiply(inverse(sk_c8),iPr_def_22) = sk_c4,
inference(superposition,[status(thm)],[c_486,c_20924]) ).
tcf(c_20935,plain,
multiply(inverse(sk_c8),iPr_def_15) = sk_c6,
inference(superposition,[status(thm)],[c_479,c_20924]) ).
tcf(c_20937,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_89,c_20924]) ).
tcf(c_20938,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_90,c_20924]) ).
tcf(c_21006,plain,
( ( sk_c8 = iPr_def_24 )
| ( multiply(inverse(sk_c8),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1272,c_20924]) ).
tcf(c_21008,plain,
( ( sk_c6 = iPr_def_23 )
| ( multiply(inverse(sk_c8),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1012,c_20924]) ).
tcf(c_21086,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2719,c_20924]) ).
tcf(c_21087,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2718,c_20924]) ).
tcf(c_21088,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2717,c_20924]) ).
tcf(c_21089,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2716,c_20924]) ).
tcf(c_21139,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_20924,c_20924]) ).
tcf(c_22489,plain,
multiply(inverse(inverse(sk_c8)),sk_c7) = iPr_def_14,
inference(superposition,[status(thm)],[c_20929,c_20924]) ).
tcf(c_22763,plain,
multiply(inverse(inverse(sk_c8)),sk_c6) = iPr_def_15,
inference(superposition,[status(thm)],[c_20935,c_20924]) ).
tcf(c_23151,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_20938,c_21139]) ).
tcf(c_23162,plain,
multiply(sk_c8,sk_c7) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_23151,c_2696]) ).
tcf(c_23166,plain,
multiply(sk_c6,sk_c8) = multiply(iPr_def_16,identity),
inference(superposition,[status(thm)],[c_23151,c_2697]) ).
tcf(c_23167,plain,
multiply(sk_c8,sk_c4) = multiply(iPr_def_22,identity),
inference(superposition,[status(thm)],[c_23151,c_2698]) ).
tcf(c_23168,plain,
multiply(sk_c8,identity) = multiply(iPr_def_20,iPr_def_21),
inference(superposition,[status(thm)],[c_23151,c_4263]) ).
tcf(c_23169,plain,
multiply(sk_c6,identity) = multiply(iPr_def_17,iPr_def_19),
inference(superposition,[status(thm)],[c_23151,c_4258]) ).
tcf(c_23170,plain,
multiply(sk_c8,sk_c6) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_23151,c_2702]) ).
tcf(c_23172,plain,
multiply(sk_c8,identity) = multiply(iPr_def_24,iPr_def_25),
inference(superposition,[status(thm)],[c_23151,c_4253]) ).
tcf(c_23173,plain,
multiply(sk_c8,identity) = multiply(iPr_def_18,iPr_def_23),
inference(superposition,[status(thm)],[c_23151,c_4248]) ).
tcf(c_23178,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_23151,c_20937]) ).
tcf(c_23179,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_23173,c_4245]) ).
tcf(c_23182,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_23170,c_479]) ).
tcf(c_23183,plain,
multiply(sk_c6,identity) = sk_c6,
inference(light_normalisation,[status(thm)],[c_23169,c_4255]) ).
tcf(c_23185,plain,
multiply(iPr_def_22,identity) = iPr_def_22,
inference(light_normalisation,[status(thm)],[c_23167,c_486]) ).
tcf(c_23186,plain,
multiply(iPr_def_16,identity) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_23166,c_480]) ).
tcf(c_23190,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_23162,c_478]) ).
tcf(c_23254,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_23178,c_90]) ).
tcf(c_24945,plain,
multiply(sk_c3,iPr_def_20) = identity,
inference(superposition,[status(thm)],[c_21086,c_90]) ).
tcf(c_24949,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_21086,c_20924]) ).
tcf(c_24950,plain,
multiply(sk_c3,identity) = inverse(iPr_def_20),
inference(superposition,[status(thm)],[c_21086,c_23151]) ).
tcf(c_25025,plain,
inverse(iPr_def_20) = sk_c3,
inference(demodulation,[status(thm)],[c_24950,c_23151]) ).
tcf(c_27573,plain,
multiply(sk_c3,sk_c8) = iPr_def_21,
inference(superposition,[status(thm)],[c_4260,c_24949]) ).
tcf(c_27715,plain,
multiply(sk_c5,iPr_def_17) = identity,
inference(superposition,[status(thm)],[c_21087,c_90]) ).
tcf(c_27718,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_17)) != sk_c6 )
| ( multiply(sk_c5,sk_c6) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_21087,c_494]) ).
tcf(c_27719,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_17,X0)) = X0,
inference(superposition,[status(thm)],[c_21087,c_20924]) ).
tcf(c_27720,plain,
multiply(sk_c5,identity) = inverse(iPr_def_17),
inference(superposition,[status(thm)],[c_21087,c_23151]) ).
tcf(c_27721,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_19 )
| ( inverse(inverse(iPr_def_17)) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_27718,c_483]) ).
tcf(c_30537,plain,
inverse(iPr_def_17) = sk_c5,
inference(demodulation,[status(thm)],[c_27720,c_23151]) ).
tcf(c_30546,plain,
multiply(sk_c5,sk_c6) = iPr_def_19,
inference(superposition,[status(thm)],[c_4255,c_27719]) ).
tcf(c_35347,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_24)) != sk_c8 )
| ( multiply(sk_c1,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_21088,c_493]) ).
tcf(c_35349,plain,
multiply(sk_c1,iPr_def_24) = identity,
inference(superposition,[status(thm)],[c_21088,c_90]) ).
tcf(c_35353,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_24,X0)) = X0,
inference(superposition,[status(thm)],[c_21088,c_20924]) ).
tcf(c_35354,plain,
multiply(sk_c1,identity) = inverse(iPr_def_24),
inference(superposition,[status(thm)],[c_21088,c_23151]) ).
tcf(c_35372,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_25 )
| ( inverse(inverse(iPr_def_24)) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_35347,c_489]) ).
tcf(c_37189,plain,
inverse(iPr_def_24) = sk_c1,
inference(demodulation,[status(thm)],[c_35354,c_23151]) ).
tcf(c_37215,plain,
multiply(sk_c1,sk_c8) = iPr_def_25,
inference(superposition,[status(thm)],[c_4250,c_35353]) ).
tcf(c_37646,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_18)) != sk_c8 )
| ( multiply(sk_c8,multiply(sk_c2,sk_c8)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_21089,c_491]) ).
tcf(c_37648,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_18)) != sk_c8 )
| ( multiply(sk_c2,sk_c8) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_21089,c_492]) ).
tcf(c_37649,plain,
multiply(sk_c2,iPr_def_18) = identity,
inference(superposition,[status(thm)],[c_21089,c_90]) ).
tcf(c_37653,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_18,X0)) = X0,
inference(superposition,[status(thm)],[c_21089,c_20924]) ).
tcf(c_37654,plain,
multiply(sk_c2,identity) = inverse(iPr_def_18),
inference(superposition,[status(thm)],[c_21089,c_23151]) ).
tcf(c_37658,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_23 )
| ( inverse(inverse(iPr_def_18)) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_37648,c_487]) ).
tcf(c_37666,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_18)) != sk_c8 )
| ( multiply(sk_c8,iPr_def_23) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_37646,c_487]) ).
tcf(c_37693,plain,
inverse(iPr_def_18) = sk_c2,
inference(demodulation,[status(thm)],[c_37654,c_23151]) ).
tcf(c_37711,plain,
multiply(sk_c2,sk_c8) = iPr_def_23,
inference(superposition,[status(thm)],[c_4245,c_37653]) ).
tcf(c_42918,plain,
( ~ iPr_def_10
| ( sk_c6 != identity )
| ( sk_c8 != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_2323,c_23178]) ).
tcf(c_42945,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c6 != identity )
| ( sk_c8 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_526,c_42918]) ).
tcf(c_53779,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_23) = multiply(iPr_def_15,identity) ) ),
inference(superposition,[status(thm)],[c_23151,c_4355]) ).
tcf(c_78251,plain,
( ~ iPr_def_13
| ( sk_c8 != identity )
| ( multiply(sk_c8,sk_c8) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_2405,c_23178]) ).
tcf(c_90937,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_78251,c_53779,c_42945,c_37711,c_37693,c_37666,c_37658,c_37649,c_37215,c_37189,c_35372,c_35354,c_35349,c_30546,c_30537,c_27721,c_27720,c_27715,c_27573,c_25025,c_24945,c_23190,c_23186,c_23185,c_23183,c_23182,c_23179,c_23173,c_23172,c_23170,c_23169,c_23168,c_23167,c_23166,c_23162,c_23178,c_22763,c_22489,c_21008,c_21006,c_20935,c_20931,c_20930,c_20929,c_18336,c_13711,c_13708,c_13454,c_13453,c_13153,c_13144,c_12262,c_12193,c_11257,c_10970,c_7424,c_7241,c_5297,c_5296,c_5167,c_2422,c_2418,c_2324,c_2239,c_2235,c_2218,c_2169,c_2165,c_2149,c_23254,c_1272,c_878,c_530,c_529,c_528,c_527,c_526,c_525,c_524,c_523,c_522,c_521,c_520,c_519,c_518,c_517,c_513,c_512,c_511,c_510,c_509,c_508,c_507,c_506,c_505,c_501,c_500,c_499,c_498,c_497,c_496,c_495,c_490,c_488,c_484,c_482,c_481]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP296-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n005.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Wed Sep 23 14:23:33 UTC 2026
% 0.02/0.37 % CPUTime :
% 0.02/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/0.40 Running first-order theorem proving
% 0.02/0.41 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
% 0.02/0.42
% 0.02/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.42
% 0.02/0.42 % Detected problem language: tptp
% 0.02/0.43 % Proving...
% 16.75/4.77 % SZS status Started for theBenchmark.p
% 16.75/4.77 % SZS status Unsatisfiable for theBenchmark.p
% 16.75/4.77
% 16.75/4.77 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 16.75/4.77
% 16.75/4.77 % ------ iProver source info
% 16.75/4.77
% 16.75/4.77 % git: date: 2026-07-19 20:42:38 +0200
% 16.75/4.77 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 16.75/4.77 % git: non_committed_changes: false
% 16.75/4.77
% 16.75/4.77 % ------ Parsing...% successful
% 16.75/4.77
% 16.75/4.77
% 16.75/4.77 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 16.75/4.77
% 16.75/4.77 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 16.75/4.77
% 16.75/4.77 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 16.75/4.77
% 16.75/4.77 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 16.75/4.77 % ------ Proving...
% 16.75/4.77 % ------ Problem Properties
% 16.75/4.77
% 16.75/4.77 %
% 16.75/4.77 % clauses 56
% 16.75/4.77 % conjectures 41
% 16.75/4.77 % EPR 37
% 16.75/4.77 % Horn 19
% 16.75/4.77 % unary 15
% 16.75/4.77 % binary 36
% 16.75/4.77 % lits 106
% 16.75/4.77 % lits eq 98
% 16.75/4.77 % fd_pure 0
% 16.75/4.77 % fd_pseudo 0
% 16.75/4.77 % fd_cond 0
% 16.75/4.77 % fd_pseudo_cond 0
% 16.75/4.77 % AC symbols 0
% 16.75/4.77
% 16.75/4.77 % ------ Schedule dynamic 5 is on
% 16.75/4.77
% 16.75/4.77 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 16.75/4.77
% 16.75/4.77
% 16.75/4.77 % ------
% 16.75/4.77 % Current options:
% 16.75/4.77 % ------
% 16.75/4.77
% 16.75/4.77
% 16.75/4.77 %
% 16.75/4.77
% 16.75/4.77 % ------ Proving...
% 16.75/4.77 %
% 16.75/4.77
% 16.75/4.77 % SZS status Unsatisfiable for theBenchmark.p
% 16.75/4.77
% 16.75/4.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 16.75/4.77
% 16.75/4.77
%------------------------------------------------------------------------------