%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP357-1 : 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 : n010.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 01:33:23 PM UTC 2026
% Result : Unsatisfiable 4.70s 2.28s
% Output : CNFRefutation 4.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 46
% Syntax : Number of formulae : 330 ( 117 unt; 11 def)
% Number of atoms : 1051 ( 622 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 524 ( 197 ~; 327 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 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 : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 128 ( 0 sgn 128 !; 0 ?; 105 :)
% 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_c8,sk_c7) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c8 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c6 = inverse(sk_c8) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c6 = inverse(sk_c8) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c8 = inverse(sk_c3)
| sk_c6 = inverse(sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c6 = inverse(sk_c8) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c6 = inverse(sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = inverse(sk_c4)
| sk_c6 = inverse(sk_c8) ),
inference(reorient_equations,[],[f27]) ).
fof(f31,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c8 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f39]) ).
fof(f43,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = inverse(sk_c3)
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c8 = inverse(sk_c4)
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c8 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( inverse(X4) != sk_c8
| multiply(X4,sk_c8) != X3
| multiply(sk_c8,X3) != sk_c7
| inverse(X2) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(X1,sk_c7) != sk_c8
| inverse(X0) != X1
| multiply(X0,X1) != sk_c8
| inverse(sk_c8) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4] :
( sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3
| sk_c7 != multiply(sk_c8,X3)
| sk_c8 != inverse(X2)
| sk_c7 != multiply(X2,sk_c8)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c8 != multiply(X1,sk_c7)
| inverse(X0) != X1
| multiply(X0,X1) != sk_c8
| sk_c6 != inverse(sk_c8)
| multiply(sk_c7,sk_c6) != sk_c8 ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X2,X3,X0,X4] :
( sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3
| sk_c7 != multiply(sk_c8,X3)
| sk_c8 != inverse(X2)
| sk_c7 != multiply(X2,sk_c8)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != multiply(X0,inverse(X0))
| sk_c6 != inverse(sk_c8)
| multiply(sk_c7,sk_c6) != sk_c8 ),
inference(equality_resolution,[],[f66]) ).
fof(f68,plain,
! [X2,X0,X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c8 != inverse(X2)
| sk_c7 != multiply(X2,sk_c8)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != multiply(X0,inverse(X0))
| sk_c6 != inverse(sk_c8)
| multiply(sk_c7,sk_c6) != sk_c8 ),
inference(equality_resolution,[],[f67]) ).
tcf(c_83,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_84,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_86,negated_conjecture,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_87,negated_conjecture,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_88,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_89,negated_conjecture,
( ( multiply(sk_c8,sk_c5) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_90,negated_conjecture,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_91,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_96,negated_conjecture,
( ( inverse(sk_c8) = sk_c6 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_99,negated_conjecture,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_100,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_101,negated_conjecture,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_102,negated_conjecture,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_103,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_105,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_106,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c3) = sk_c8 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_108,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_109,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_110,negated_conjecture,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_111,negated_conjecture,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_112,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_113,negated_conjecture,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_114,negated_conjecture,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_115,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(sk_c8) != sk_c6 )
| ( inverse(X1) != sk_c8 )
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c8 )
| ( multiply(X1,sk_c8) != sk_c7 )
| ( multiply(inverse(X2),sk_c7) != sk_c8 )
| ( multiply(X2,inverse(X2)) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_405,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( multiply(inverse(X0),sk_c7) != sk_c8 )
| ( multiply(X0,inverse(X0)) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_116]) ).
tcf(c_406,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_116]) ).
tcf(c_407,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_116]) ).
tcf(c_408,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c8) != sk_c6 )
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_116]) ).
tcf(c_409,definition,
iPr_def_13 = multiply(sk_c7,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_410,definition,
iPr_def_14 = multiply(sk_c8,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_411,definition,
iPr_def_15 = inverse(sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_412,definition,
iPr_def_16 = multiply(sk_c2,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_413,definition,
iPr_def_17 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_414,definition,
iPr_def_18 = multiply(sk_c4,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_415,definition,
iPr_def_19 = multiply(sk_c8,sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_416,definition,
iPr_def_20 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_417,definition,
iPr_def_21 = multiply(sk_c3,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_418,definition,
iPr_def_22 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_419,definition,
iPr_def_23 = multiply(sk_c1,sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_420,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != sk_c6 )
| ( iPr_def_14 != sk_c6 )
| ( iPr_def_13 != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_408,c_411,c_410,c_409]) ).
tcf(c_421,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_407]) ).
tcf(c_422,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_406]) ).
tcf(c_423,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( multiply(inverse(X0),sk_c7) != sk_c8 )
| ( multiply(X0,inverse(X0)) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_405]) ).
tcf(c_424,negated_conjecture,
( ( iPr_def_17 = sk_c8 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_115,c_413,c_412]) ).
tcf(c_425,negated_conjecture,
( ( iPr_def_18 = sk_c5 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_114,c_414]) ).
tcf(c_426,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_113,c_415]) ).
tcf(c_427,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_112,c_416]) ).
tcf(c_428,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_111,c_417]) ).
tcf(c_429,negated_conjecture,
( ( iPr_def_16 = sk_c8 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_430,negated_conjecture,
( ( iPr_def_22 = sk_c2 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_109,c_418]) ).
tcf(c_431,negated_conjecture,
( ( iPr_def_22 = sk_c2 )
| ( iPr_def_18 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_432,negated_conjecture,
( ( iPr_def_22 = sk_c2 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_433,negated_conjecture,
( ( iPr_def_22 = sk_c2 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_434,negated_conjecture,
( ( iPr_def_22 = sk_c2 )
| ( iPr_def_21 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_105]) ).
tcf(c_436,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_103,c_419]) ).
tcf(c_437,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_18 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_438,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_439,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_440,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_21 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_442,negated_conjecture,
( ( iPr_def_17 = sk_c8 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_443,negated_conjecture,
( ( iPr_def_18 = sk_c5 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_444,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_445,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_446,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_447,negated_conjecture,
( ( iPr_def_15 = sk_c6 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_448,negated_conjecture,
( ( iPr_def_17 = sk_c8 )
| ( iPr_def_13 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_449,negated_conjecture,
( ( iPr_def_18 = sk_c5 )
| ( iPr_def_13 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_450,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_13 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_451,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_13 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_452,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_13 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_453,negated_conjecture,
( ( iPr_def_14 = sk_c6 )
| ( iPr_def_13 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_454,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_455,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( multiply(X0,X2) = multiply(X1,X3) )
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_460,plain,
sk_c8 = sk_c8,
inference(instantiation,[status(thm)],[c_454]) ).
tcf(c_819,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_439,c_414]) ).
tcf(c_821,plain,
( ( sk_c8 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_439,c_411]) ).
tcf(c_875,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_434,c_419]) ).
tcf(c_876,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_433,c_419]) ).
tcf(c_877,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_432,c_419]) ).
tcf(c_889,plain,
multiply(iPr_def_20,sk_c3) = identity,
inference(superposition,[status(thm)],[c_416,c_84]) ).
tcf(c_890,plain,
multiply(iPr_def_17,sk_c4) = identity,
inference(superposition,[status(thm)],[c_413,c_84]) ).
tcf(c_891,plain,
multiply(iPr_def_15,sk_c8) = identity,
inference(superposition,[status(thm)],[c_411,c_84]) ).
tcf(c_892,plain,
multiply(iPr_def_22,sk_c1) = identity,
inference(superposition,[status(thm)],[c_418,c_84]) ).
tcf(c_894,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( iPr_def_13 != X0 )
| ( sk_c8 != X0 ) ),
inference(instantiation,[status(thm)],[c_455]) ).
tcf(c_895,plain,
( ( sk_c8 = iPr_def_13 )
| ( iPr_def_13 != sk_c8 )
| ( sk_c8 != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_894]) ).
tcf(c_896,plain,
! [X0: $i] :
( ( sk_c8 = multiply(sk_c7,sk_c6) )
| ( sk_c8 != X0 )
| ( multiply(sk_c7,sk_c6) != X0 ) ),
inference(instantiation,[status(thm)],[c_455]) ).
tcf(c_909,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c8 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_440,c_438]) ).
tcf(c_924,plain,
( ( sk_c8 = iPr_def_13 )
| ( iPr_def_13 != multiply(sk_c7,sk_c6) )
| ( sk_c8 != multiply(sk_c7,sk_c6) ) ),
inference(instantiation,[status(thm)],[c_894]) ).
tcf(c_928,plain,
! [X0: $i,X1: $i] :
( ( sk_c8 = multiply(sk_c7,sk_c6) )
| ( sk_c8 != multiply(X0,X1) )
| ( multiply(sk_c7,sk_c6) != multiply(X0,X1) ) ),
inference(instantiation,[status(thm)],[c_896]) ).
tcf(c_929,plain,
! [X0: $i,X1: $i] :
( ( multiply(sk_c7,sk_c6) = multiply(X0,X1) )
| ( sk_c6 != X1 )
| ( sk_c7 != X0 ) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_930,plain,
( ( sk_c8 = multiply(sk_c7,sk_c6) )
| ( sk_c8 != multiply(sk_c8,sk_c8) )
| ( multiply(sk_c7,sk_c6) != multiply(sk_c8,sk_c8) ) ),
inference(instantiation,[status(thm)],[c_928]) ).
tcf(c_931,plain,
( ( multiply(sk_c7,sk_c6) = multiply(sk_c8,sk_c8) )
| ( sk_c6 != sk_c8 )
| ( sk_c7 != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_929]) ).
tcf(c_1074,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_17,sk_c5) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_448,c_415]) ).
tcf(c_1106,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk_c8 = multiply(X0,X1) )
| ( sk_c8 != X2 )
| ( multiply(X0,X1) != X2 ) ),
inference(instantiation,[status(thm)],[c_455]) ).
tcf(c_1118,plain,
! [X0: $i,X1: $i] :
( ( sk_c7 = X0 )
| ( sk_c7 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_455]) ).
tcf(c_1127,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c8,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_450,c_410]) ).
tcf(c_1151,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_20,sk_c7) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_451,c_410]) ).
tcf(c_1188,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c7 )
| ( sk_c7 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_455]) ).
tcf(c_1211,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_452,c_450]) ).
tcf(c_1234,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 )
| ( sk_c6 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_453,c_447]) ).
tcf(c_1320,plain,
! [X0: $i,X1: $i] :
( ( sk_c6 = X0 )
| ( sk_c6 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_455]) ).
tcf(c_1423,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_454]) ).
tcf(c_1424,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c6 )
| ( sk_c6 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_455]) ).
tcf(c_1632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( multiply(X0,X1) = X3 )
| ( X3 != X2 )
| ( multiply(X0,X1) != X2 ) ),
inference(instantiation,[status(thm)],[c_455]) ).
tcf(c_1652,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_21 )
| ( inverse(sk_c3) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_417,c_422]) ).
tcf(c_1677,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_20 )
| ( sk_c7 != iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_1652,c_416]) ).
tcf(c_1789,plain,
( ~ iPr_def_12
| ( inverse(sk_c3) != sk_c8 )
| ( multiply(sk_c8,iPr_def_21) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_417,c_421]) ).
tcf(c_1814,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_20 )
| ( multiply(sk_c8,iPr_def_21) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_1789,c_416]) ).
tcf(c_2030,plain,
( ~ iPr_def_10
| ( multiply(sk_c8,iPr_def_15) != sk_c8 )
| ( multiply(inverse(sk_c8),sk_c7) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_411,c_423]) ).
tcf(c_2039,plain,
( ~ iPr_def_10
| ( multiply(iPr_def_15,sk_c7) != sk_c8 )
| ( multiply(sk_c8,iPr_def_15) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_2030,c_411]) ).
tcf(c_2059,plain,
! [X0: $i] :
( ( sk_c6 = X0 )
| ( sk_c6 != sk_c6 )
| ( X0 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_1320]) ).
tcf(c_2110,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1211,c_909]) ).
tcf(c_2318,plain,
! [X0: $i] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_409,c_85]) ).
tcf(c_2319,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_410,c_85]) ).
tcf(c_2320,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c8,X0)) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_417,c_85]) ).
tcf(c_2321,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c5,X0)) = multiply(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_415,c_85]) ).
tcf(c_2322,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c8,X0)) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_414,c_85]) ).
tcf(c_2323,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_419,c_85]) ).
tcf(c_2324,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_412,c_85]) ).
tcf(c_2326,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_84,c_85]) ).
tcf(c_2329,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_889,c_85]) ).
tcf(c_2330,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_890,c_85]) ).
tcf(c_2331,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c8,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_891,c_85]) ).
tcf(c_2332,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_892,c_85]) ).
tcf(c_2337,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2332,c_83]) ).
tcf(c_2338,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2331,c_83]) ).
tcf(c_2339,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2330,c_83]) ).
tcf(c_2340,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2329,c_83]) ).
tcf(c_2420,plain,
multiply(iPr_def_22,iPr_def_23) = sk_c2,
inference(superposition,[status(thm)],[c_419,c_2337]) ).
tcf(c_2427,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(iPr_def_23,X0)) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2420,c_85]) ).
tcf(c_2447,plain,
multiply(iPr_def_15,iPr_def_14) = sk_c7,
inference(superposition,[status(thm)],[c_410,c_2338]) ).
tcf(c_2448,plain,
multiply(iPr_def_15,iPr_def_19) = sk_c5,
inference(superposition,[status(thm)],[c_415,c_2338]) ).
tcf(c_2558,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_14,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_2447,c_85]) ).
tcf(c_2560,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_19,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2448,c_85]) ).
tcf(c_2703,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( multiply(X0,X1) = X4 )
| ( X4 != multiply(X2,X3) )
| ( multiply(X0,X1) != multiply(X2,X3) ) ),
inference(instantiation,[status(thm)],[c_1632]) ).
tcf(c_2967,plain,
multiply(iPr_def_17,iPr_def_18) = sk_c8,
inference(superposition,[status(thm)],[c_414,c_2339]) ).
tcf(c_2978,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_18,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2967,c_85]) ).
tcf(c_2992,plain,
multiply(iPr_def_20,iPr_def_21) = sk_c8,
inference(superposition,[status(thm)],[c_417,c_2340]) ).
tcf(c_3053,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_21,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2992,c_85]) ).
tcf(c_3656,plain,
( ( sk_c6 = iPr_def_14 )
| ( iPr_def_14 != sk_c6 )
| ( sk_c6 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_2059]) ).
tcf(c_3814,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_819,c_2339]) ).
tcf(c_3815,plain,
( ( sk_c8 = iPr_def_23 )
| ( sk_c8 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_3814,c_2967]) ).
tcf(c_5174,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = iPr_def_14 )
| ( iPr_def_14 != multiply(sk_c8,sk_c7) )
| ( multiply(X0,X1) != multiply(sk_c8,sk_c7) ) ),
inference(instantiation,[status(thm)],[c_2703]) ).
tcf(c_5175,plain,
( ( multiply(sk_c8,sk_c8) = iPr_def_14 )
| ( iPr_def_14 != multiply(sk_c8,sk_c7) )
| ( multiply(sk_c8,sk_c8) != multiply(sk_c8,sk_c7) ) ),
inference(instantiation,[status(thm)],[c_5174]) ).
tcf(c_5432,plain,
! [X0: $i] :
( ( X0 = sk_c7 )
| ( sk_c7 != iPr_def_19 )
| ( X0 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_1188]) ).
tcf(c_5433,plain,
! [X0: $i] :
( ( sk_c7 = X0 )
| ( sk_c7 != iPr_def_19 )
| ( X0 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_1118]) ).
tcf(c_5434,plain,
( ( sk_c7 = sk_c8 )
| ( sk_c8 != iPr_def_19 )
| ( sk_c7 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_5433]) ).
tcf(c_5435,plain,
( ( sk_c8 = sk_c7 )
| ( sk_c8 != iPr_def_19 )
| ( sk_c7 != iPr_def_19 ) ),
inference(instantiation,[status(thm)],[c_5432]) ).
tcf(c_5695,plain,
! [X0: $i] :
( ( X0 = sk_c6 )
| ( sk_c6 != iPr_def_14 )
| ( X0 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_1424]) ).
tcf(c_5696,plain,
! [X0: $i] :
( ( sk_c6 = X0 )
| ( sk_c6 != iPr_def_14 )
| ( X0 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_1320]) ).
tcf(c_5697,plain,
( ( sk_c6 = sk_c8 )
| ( sk_c8 != iPr_def_14 )
| ( sk_c6 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_5696]) ).
tcf(c_5698,plain,
( ( sk_c8 = sk_c6 )
| ( sk_c8 != iPr_def_14 )
| ( sk_c6 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_5695]) ).
tcf(c_5832,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_17,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_449,c_1074]) ).
tcf(c_5838,plain,
( ( sk_c8 = iPr_def_19 )
| ( sk_c8 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_5832,c_2967]) ).
tcf(c_5894,plain,
( ( iPr_def_17 = iPr_def_19 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_5838,c_448]) ).
tcf(c_6513,plain,
( ( iPr_def_17 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_5894,c_451]) ).
tcf(c_6852,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1127,c_2338]) ).
tcf(c_6853,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_6852,c_2447]) ).
tcf(c_7364,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_452,c_1151]) ).
tcf(c_7371,plain,
( ( sk_c8 = iPr_def_14 )
| ( sk_c8 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_7364,c_2992]) ).
tcf(c_10960,plain,
( ( sk_c6 = iPr_def_14 )
| ( sk_c8 = iPr_def_13 ) ),
inference(global_subsumption_just,[status(thm)],[c_1234,c_460,c_453,c_895,c_1423,c_3656]) ).
tcf(c_10961,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c6 = iPr_def_14 ) ),
inference(renaming,[status(thm)],[c_10960]) ).
tcf(c_12612,plain,
multiply(sk_c3,iPr_def_14) = multiply(iPr_def_21,sk_c7),
inference(superposition,[status(thm)],[c_410,c_2320]) ).
tcf(c_12809,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = multiply(sk_c8,sk_c7) )
| ( X1 != sk_c7 )
| ( X0 != sk_c8 ) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_12810,plain,
( ( multiply(sk_c8,sk_c8) = multiply(sk_c8,sk_c7) )
| ( sk_c8 != sk_c8 )
| ( sk_c8 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_12809]) ).
tcf(c_12831,plain,
multiply(iPr_def_20,multiply(iPr_def_21,sk_c7)) = iPr_def_14,
inference(superposition,[status(thm)],[c_12612,c_2340]) ).
tcf(c_12885,plain,
( ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_19,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_2321,c_421]) ).
tcf(c_13443,plain,
multiply(sk_c1,iPr_def_16) = multiply(iPr_def_23,sk_c7),
inference(superposition,[status(thm)],[c_412,c_2323]) ).
tcf(c_14493,plain,
multiply(sk_c2,iPr_def_13) = multiply(iPr_def_16,sk_c6),
inference(superposition,[status(thm)],[c_409,c_2324]) ).
tcf(c_14576,plain,
multiply(sk_c1,multiply(iPr_def_16,sk_c6)) = multiply(iPr_def_23,iPr_def_13),
inference(superposition,[status(thm)],[c_14493,c_2323]) ).
tcf(c_17603,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = sk_c6 )
| ( sk_c6 != iPr_def_14 )
| ( multiply(X0,X1) != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_5695]) ).
tcf(c_17608,plain,
! [X0: $i,X1: $i] :
( ( sk_c8 = multiply(X0,X1) )
| ( sk_c8 != sk_c6 )
| ( multiply(X0,X1) != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_1106]) ).
tcf(c_17609,plain,
( ( multiply(sk_c8,sk_c8) = sk_c6 )
| ( sk_c6 != iPr_def_14 )
| ( multiply(sk_c8,sk_c8) != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_17603]) ).
tcf(c_17610,plain,
( ( sk_c8 = multiply(sk_c8,sk_c8) )
| ( sk_c8 != sk_c6 )
| ( multiply(sk_c8,sk_c8) != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_17608]) ).
tcf(c_17808,plain,
sk_c8 = iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_6513,c_460,c_409,c_410,c_924,c_930,c_931,c_5175,c_5434,c_5435,c_5697,c_5698,c_5838,c_6853,c_7371,c_10961,c_12810,c_17609,c_17610]) ).
tcf(c_17824,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_21,X0)) = multiply(iPr_def_13,X0),
inference(demodulation,[status(thm)],[c_3053,c_17808]) ).
tcf(c_17825,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_18,X0)) = multiply(iPr_def_13,X0),
inference(demodulation,[status(thm)],[c_2978,c_17808]) ).
tcf(c_17833,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_13,X0)) = multiply(iPr_def_18,X0),
inference(demodulation,[status(thm)],[c_2322,c_17808]) ).
tcf(c_17839,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(sk_c5,X0)) = multiply(iPr_def_19,X0),
inference(demodulation,[status(thm)],[c_2321,c_17808]) ).
tcf(c_17840,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_13,X0)) = multiply(iPr_def_21,X0),
inference(demodulation,[status(thm)],[c_2320,c_17808]) ).
tcf(c_17842,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(sk_c7,X0)) = multiply(iPr_def_14,X0),
inference(demodulation,[status(thm)],[c_2319,c_17808]) ).
tcf(c_17900,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_876,c_17808]) ).
tcf(c_17950,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_821,c_17808]) ).
tcf(c_17951,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_13,X0)) = X0,
inference(demodulation,[status(thm)],[c_2338,c_17808]) ).
tcf(c_17956,plain,
! [X0: $i] :
( ~ iPr_def_10
| ( multiply(inverse(X0),sk_c7) != iPr_def_13 )
| ( multiply(X0,inverse(X0)) != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_423,c_17808]) ).
tcf(c_17957,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_13 != iPr_def_13 )
| ( sk_c6 != iPr_def_15 )
| ( sk_c6 != iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_420,c_17808]) ).
tcf(c_17958,plain,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != iPr_def_13 )
| ( multiply(iPr_def_13,multiply(X0,iPr_def_13)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_421,c_17808]) ).
tcf(c_17959,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != iPr_def_13 )
| ( multiply(X0,iPr_def_13) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_422,c_17808]) ).
tcf(c_17974,plain,
multiply(sk_c3,iPr_def_13) = iPr_def_21,
inference(demodulation,[status(thm)],[c_417,c_17808]) ).
tcf(c_17975,plain,
multiply(iPr_def_13,sk_c5) = iPr_def_19,
inference(demodulation,[status(thm)],[c_415,c_17808]) ).
tcf(c_17981,plain,
multiply(sk_c4,iPr_def_13) = iPr_def_18,
inference(demodulation,[status(thm)],[c_414,c_17808]) ).
tcf(c_17982,plain,
multiply(iPr_def_13,sk_c7) = iPr_def_14,
inference(demodulation,[status(thm)],[c_410,c_17808]) ).
tcf(c_17983,plain,
inverse(iPr_def_13) = iPr_def_15,
inference(demodulation,[status(thm)],[c_411,c_17808]) ).
tcf(c_18179,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c6 != iPr_def_15 )
| ( sk_c6 != iPr_def_14 ) ),
inference(equality_resolution_simp,[status(thm)],[c_17957]) ).
tcf(c_18622,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2326,c_83]) ).
tcf(c_18636,plain,
multiply(inverse(sk_c2),iPr_def_16) = sk_c7,
inference(superposition,[status(thm)],[c_412,c_18622]) ).
tcf(c_18637,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_83,c_18622]) ).
tcf(c_18638,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_84,c_18622]) ).
tcf(c_18676,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2340,c_18622]) ).
tcf(c_18677,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2339,c_18622]) ).
tcf(c_18678,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2337,c_18622]) ).
tcf(c_18683,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_17951,c_18622]) ).
tcf(c_18698,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_18622,c_18622]) ).
tcf(c_18814,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_18638,c_18698]) ).
tcf(c_18824,plain,
multiply(sk_c2,sk_c7) = multiply(iPr_def_16,identity),
inference(superposition,[status(thm)],[c_18814,c_2324]) ).
tcf(c_18825,plain,
multiply(sk_c5,identity) = multiply(iPr_def_15,iPr_def_19),
inference(superposition,[status(thm)],[c_18814,c_2560]) ).
tcf(c_18827,plain,
multiply(sk_c7,sk_c6) = multiply(iPr_def_13,identity),
inference(superposition,[status(thm)],[c_18814,c_2318]) ).
tcf(c_18828,plain,
multiply(sk_c7,identity) = multiply(iPr_def_15,iPr_def_14),
inference(superposition,[status(thm)],[c_18814,c_2558]) ).
tcf(c_18829,plain,
multiply(sk_c2,identity) = multiply(iPr_def_22,iPr_def_23),
inference(superposition,[status(thm)],[c_18814,c_2427]) ).
tcf(c_18834,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_18814,c_18637]) ).
tcf(c_18836,plain,
multiply(sk_c2,identity) = sk_c2,
inference(light_normalisation,[status(thm)],[c_18829,c_2420]) ).
tcf(c_18837,plain,
multiply(sk_c7,identity) = sk_c7,
inference(light_normalisation,[status(thm)],[c_18828,c_2447]) ).
tcf(c_18839,plain,
multiply(sk_c5,identity) = sk_c5,
inference(light_normalisation,[status(thm)],[c_18825,c_2448]) ).
tcf(c_18840,plain,
multiply(iPr_def_16,identity) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_18824,c_412]) ).
tcf(c_19162,plain,
multiply(sk_c3,iPr_def_20) = identity,
inference(superposition,[status(thm)],[c_18676,c_84]) ).
tcf(c_19164,plain,
multiply(sk_c3,identity) = inverse(iPr_def_20),
inference(superposition,[status(thm)],[c_18676,c_18814]) ).
tcf(c_19227,plain,
inverse(iPr_def_20) = sk_c3,
inference(demodulation,[status(thm)],[c_19164,c_18814]) ).
tcf(c_19301,plain,
multiply(sk_c4,iPr_def_17) = identity,
inference(superposition,[status(thm)],[c_18677,c_84]) ).
tcf(c_19417,plain,
multiply(sk_c1,iPr_def_22) = identity,
inference(superposition,[status(thm)],[c_18678,c_84]) ).
tcf(c_19418,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_22,X0)) = X0,
inference(superposition,[status(thm)],[c_18678,c_18622]) ).
tcf(c_19419,plain,
multiply(sk_c1,identity) = inverse(iPr_def_22),
inference(superposition,[status(thm)],[c_18678,c_18814]) ).
tcf(c_19420,plain,
( ( identity = iPr_def_23 )
| ( sk_c7 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_877,c_19417]) ).
tcf(c_19421,plain,
( ( identity = iPr_def_23 )
| ( sk_c7 = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_875,c_19417]) ).
tcf(c_19650,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19421,c_19420]) ).
tcf(c_19725,plain,
inverse(iPr_def_22) = sk_c1,
inference(demodulation,[status(thm)],[c_19419,c_18814]) ).
tcf(c_19732,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm)],[c_892,c_19418]) ).
tcf(c_19733,plain,
multiply(sk_c1,sk_c2) = iPr_def_23,
inference(superposition,[status(thm)],[c_2420,c_19418]) ).
tcf(c_19772,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19650,c_18834]) ).
tcf(c_20031,plain,
multiply(iPr_def_13,iPr_def_15) = identity,
inference(superposition,[status(thm)],[c_18683,c_84]) ).
tcf(c_20033,plain,
multiply(iPr_def_13,identity) = inverse(iPr_def_15),
inference(superposition,[status(thm)],[c_18683,c_18814]) ).
tcf(c_20139,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(superposition,[status(thm)],[c_20031,c_17951]) ).
tcf(c_20148,plain,
inverse(iPr_def_15) = iPr_def_13,
inference(demodulation,[status(thm)],[c_20033,c_18814]) ).
tcf(c_20789,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( inverse(iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2110,c_19772]) ).
tcf(c_20800,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_20789,c_17983]) ).
tcf(c_21948,plain,
( ~ iPr_def_12
| ( inverse(sk_c5) != iPr_def_13 )
| ( multiply(iPr_def_19,iPr_def_13) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_12885,c_17808]) ).
tcf(c_22018,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_21 )
| ( inverse(sk_c3) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_17974,c_17959]) ).
tcf(c_22027,plain,
( ~ iPr_def_11
| ( inverse(sk_c2) != iPr_def_13 )
| ( multiply(iPr_def_16,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_14493,c_17959]) ).
tcf(c_22033,plain,
( ~ iPr_def_11
| ( iPr_def_13 != iPr_def_20 )
| ( sk_c7 != iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_22018,c_416]) ).
tcf(c_22445,plain,
( ~ iPr_def_12
| ( inverse(sk_c2) != iPr_def_13 )
| ( multiply(iPr_def_13,multiply(iPr_def_16,sk_c6)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_14493,c_17958]) ).
tcf(c_22604,plain,
( ~ iPr_def_10
| ( multiply(iPr_def_20,sk_c3) != iPr_def_13 )
| ( multiply(inverse(iPr_def_20),sk_c7) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_19227,c_17956]) ).
tcf(c_24337,plain,
multiply(iPr_def_13,identity) = multiply(iPr_def_20,iPr_def_21),
inference(superposition,[status(thm)],[c_18814,c_17824]) ).
tcf(c_24749,plain,
multiply(iPr_def_13,identity) = multiply(iPr_def_17,iPr_def_18),
inference(superposition,[status(thm)],[c_18814,c_17825]) ).
tcf(c_24784,plain,
multiply(sk_c4,iPr_def_13) = multiply(iPr_def_18,identity),
inference(superposition,[status(thm)],[c_18814,c_17833]) ).
tcf(c_24790,plain,
multiply(iPr_def_18,identity) = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_24784,c_17981]) ).
tcf(c_24813,plain,
multiply(iPr_def_13,sk_c5) = multiply(iPr_def_19,identity),
inference(superposition,[status(thm)],[c_18814,c_17839]) ).
tcf(c_24827,plain,
multiply(iPr_def_19,identity) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_24813,c_17975]) ).
tcf(c_24857,plain,
multiply(sk_c3,identity) = multiply(iPr_def_21,iPr_def_15),
inference(superposition,[status(thm)],[c_20031,c_17840]) ).
tcf(c_24859,plain,
multiply(sk_c3,iPr_def_13) = multiply(iPr_def_21,identity),
inference(superposition,[status(thm)],[c_18814,c_17840]) ).
tcf(c_24866,plain,
multiply(iPr_def_21,identity) = iPr_def_21,
inference(light_normalisation,[status(thm)],[c_24859,c_17974]) ).
tcf(c_25004,plain,
multiply(iPr_def_21,iPr_def_15) = sk_c3,
inference(demodulation,[status(thm)],[c_24857,c_18814]) ).
tcf(c_25008,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_15) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_20800,c_25004]) ).
tcf(c_25013,plain,
multiply(iPr_def_13,iPr_def_15) = multiply(iPr_def_20,sk_c3),
inference(superposition,[status(thm)],[c_25004,c_17824]) ).
tcf(c_25871,plain,
multiply(iPr_def_13,sk_c7) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_18814,c_17842]) ).
tcf(c_25884,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_25871,c_17982]) ).
tcf(c_31033,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_17900,c_19417]) ).
tcf(c_31058,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_31033,c_18834]) ).
tcf(c_31367,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_31058,c_25884,c_25871,c_25013,c_25008,c_25004,c_24866,c_24859,c_24827,c_24813,c_24790,c_24784,c_24749,c_24337,c_22604,c_22445,c_22033,c_22027,c_21948,c_20800,c_20148,c_20139,c_20033,c_20031,c_19733,c_19732,c_19725,c_19417,c_19301,c_19227,c_19162,c_18840,c_18839,c_18837,c_18836,c_18829,c_18828,c_18827,c_18825,c_18824,c_18834,c_18636,c_18179,c_17983,c_17950,c_17808,c_14576,c_14493,c_13443,c_12831,c_12612,c_3815,c_2039,c_1814,c_1789,c_1677,c_447,c_446,c_445,c_444,c_443,c_442,c_440,c_438,c_437,c_436,c_434,c_432,c_431,c_430,c_429,c_428,c_427,c_426,c_425,c_424,c_420,c_418,c_416]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP357-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 14:33:57 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 4.70/2.28 % SZS status Started for theBenchmark.p
% 4.70/2.28 % SZS status Unsatisfiable for theBenchmark.p
% 4.70/2.28
% 4.70/2.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.70/2.28
% 4.70/2.28 % ------ iProver source info
% 4.70/2.28
% 4.70/2.28 % git: date: 2026-07-19 20:42:38 +0200
% 4.70/2.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.70/2.28 % git: non_committed_changes: false
% 4.70/2.28
% 4.70/2.28 % ------ Parsing...% successful
% 4.70/2.28
% 4.70/2.28
% 4.70/2.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.70/2.28
% 4.70/2.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.70/2.28
% 4.70/2.28 % ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.70/2.28
% 4.70/2.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.70/2.28 % ------ Proving...
% 4.70/2.28 % ------ Problem Properties
% 4.70/2.28
% 4.70/2.28 %
% 4.70/2.28 % clauses 48
% 4.70/2.28 % conjectures 34
% 4.70/2.28 % EPR 31
% 4.70/2.28 % Horn 17
% 4.70/2.28 % unary 14
% 4.70/2.28 % binary 30
% 4.70/2.28 % lits 89
% 4.70/2.28 % lits eq 83
% 4.70/2.29 % fd_pure 0
% 4.70/2.29 % fd_pseudo 0
% 4.70/2.29 % fd_cond 0
% 4.70/2.29 % fd_pseudo_cond 0
% 4.70/2.29 % AC symbols 0
% 4.70/2.29
% 4.70/2.29 % ------ Schedule dynamic 5 is on
% 4.70/2.29
% 4.70/2.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.70/2.29
% 4.70/2.29
% 4.70/2.29 % ------
% 4.70/2.29 % Current options:
% 4.70/2.29 % ------
% 4.70/2.29
% 4.70/2.29
% 4.70/2.29 %
% 4.70/2.29
% 4.70/2.29 % ------ Proving...
% 4.70/2.29 %
% 4.70/2.29
% 4.70/2.29 % SZS status Unsatisfiable for theBenchmark.p
% 4.70/2.29
% 4.70/2.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.70/2.29
% 4.70/2.29
%------------------------------------------------------------------------------