%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP279-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n017.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 01:32:42 PM UTC 2026
% Result : Unsatisfiable 18.42s 3.94s
% Output : CNFRefutation 18.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 40
% Syntax : Number of formulae : 324 ( 115 unt; 11 def)
% Number of atoms : 1038 ( 565 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 461 ( 165 ~; 296 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 78 ( 0 sgn 78 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f7]) ).
fof(f15,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c5) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = inverse(sk_c5)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f33]) ).
fof(f37,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c2,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c3) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c2,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c3) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c5) = sk_c7
| multiply(sk_c2,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = inverse(sk_c5)
| sk_c8 = multiply(sk_c2,sk_c3) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c2,sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = multiply(sk_c2,sk_c3) ),
inference(reorient_equations,[],[f43]) ).
fof(f47,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c8 = inverse(sk_c4)
| sk_c3 = inverse(sk_c2) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c3 = inverse(sk_c2) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c5) = sk_c7
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c7 = inverse(sk_c5)
| sk_c3 = inverse(sk_c2) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c3 = inverse(sk_c2) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( inverse(sk_c5) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c7 = inverse(sk_c5)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(X4,sk_c6) != sk_c7
| inverse(X4) != sk_c7
| multiply(X3,sk_c7) != sk_c8
| inverse(X3) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6
| multiply(X2,sk_c7) != sk_c8
| inverse(X1) != X2
| multiply(X1,X2) != sk_c8
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4)
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c8 != multiply(X2,sk_c7)
| inverse(X1) != X2
| multiply(X1,X2) != sk_c8
| inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6 ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X3,X0,X1,X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4)
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c8 != multiply(inverse(X1),sk_c7)
| sk_c8 != multiply(X1,inverse(X1))
| inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6 ),
inference(equality_resolution,[],[f66]) ).
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_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_87,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_91,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_93,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_95,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_96,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_98,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_99,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_100,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_102,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c3) = sk_c8 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_103,negated_conjecture,
( ( multiply(sk_c2,sk_c3) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_104,negated_conjecture,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c2,sk_c3) = sk_c8 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_105,negated_conjecture,
( ( multiply(sk_c2,sk_c3) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_108,negated_conjecture,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_109,negated_conjecture,
( ( inverse(sk_c2) = sk_c3 )
| ( inverse(sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_110,negated_conjecture,
( ( inverse(sk_c2) = sk_c3 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_111,negated_conjecture,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_112,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_113,negated_conjecture,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_114,negated_conjecture,
( ( inverse(sk_c5) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_115,negated_conjecture,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(X3) != sk_c7 )
| ( inverse(X2) != sk_c8 )
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(X3,sk_c6) != sk_c7 )
| ( multiply(X2,sk_c7) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 )
| ( multiply(inverse(X1),sk_c7) != sk_c8 )
| ( multiply(X1,inverse(X1)) != sk_c8 ) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_409,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_116]) ).
tcf(c_410,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_411,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_116]) ).
tcf(c_412,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(inverse(X0),sk_c7) != sk_c8 )
| ( multiply(X0,inverse(X0)) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_116]) ).
tcf(c_413,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_116]) ).
tcf(c_414,definition,
iPr_def_14 = multiply(sk_c8,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_415,definition,
iPr_def_15 = multiply(sk_c7,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_416,definition,
iPr_def_16 = multiply(sk_c5,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_417,definition,
iPr_def_17 = multiply(sk_c3,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_418,definition,
iPr_def_18 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_419,definition,
iPr_def_19 = multiply(sk_c4,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_420,definition,
iPr_def_20 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_421,definition,
iPr_def_21 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_422,definition,
iPr_def_22 = multiply(sk_c2,sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_423,definition,
iPr_def_23 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_424,definition,
iPr_def_24 = multiply(sk_c1,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_425,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != sk_c6 )
| ( iPr_def_14 != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_413,c_415,c_414]) ).
tcf(c_426,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(inverse(X0),sk_c7) != sk_c8 )
| ( multiply(X0,inverse(X0)) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_412]) ).
tcf(c_427,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_411]) ).
tcf(c_428,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_410]) ).
tcf(c_429,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_409]) ).
tcf(c_430,negated_conjecture,
( ( iPr_def_17 = sk_c8 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_115,c_417,c_416]) ).
tcf(c_431,negated_conjecture,
( ( iPr_def_18 = sk_c7 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_114,c_418]) ).
tcf(c_432,negated_conjecture,
( ( iPr_def_19 = sk_c8 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_113,c_419]) ).
tcf(c_433,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_112,c_420]) ).
tcf(c_434,negated_conjecture,
( ( iPr_def_17 = sk_c8 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_435,negated_conjecture,
( ( iPr_def_21 = sk_c3 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_110,c_421]) ).
tcf(c_436,negated_conjecture,
( ( iPr_def_21 = sk_c3 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_109]) ).
tcf(c_437,negated_conjecture,
( ( iPr_def_21 = sk_c3 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_438,negated_conjecture,
( ( iPr_def_21 = sk_c3 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_440,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_105,c_422]) ).
tcf(c_441,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_442,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_103]) ).
tcf(c_443,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_445,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_100,c_423]) ).
tcf(c_446,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_447,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_448,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_449,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_450,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_95,c_424]) ).
tcf(c_451,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_452,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_453,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_454,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_458,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_459,negated_conjecture,
( ( iPr_def_15 = sk_c6 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_679,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( sk_c8 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_430,c_431]) ).
tcf(c_791,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( sk_c8 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_441,c_440]) ).
tcf(c_892,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_438,c_422]) ).
tcf(c_893,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_437,c_422]) ).
tcf(c_894,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_436,c_422]) ).
tcf(c_895,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_435,c_422]) ).
tcf(c_933,plain,
multiply(iPr_def_20,sk_c4) = identity,
inference(superposition,[status(thm)],[c_420,c_84]) ).
tcf(c_934,plain,
multiply(iPr_def_18,sk_c5) = identity,
inference(superposition,[status(thm)],[c_418,c_84]) ).
tcf(c_935,plain,
multiply(iPr_def_23,sk_c1) = identity,
inference(superposition,[status(thm)],[c_423,c_84]) ).
tcf(c_936,plain,
multiply(iPr_def_21,sk_c2) = identity,
inference(superposition,[status(thm)],[c_421,c_84]) ).
tcf(c_951,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( sk_c8 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_446,c_445]) ).
tcf(c_985,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_447,c_424]) ).
tcf(c_987,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_447,c_442]) ).
tcf(c_989,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c7) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_447,c_414]) ).
tcf(c_1025,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_448,c_424]) ).
tcf(c_1026,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( sk_c8 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_448,c_443]) ).
tcf(c_1029,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c7) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_448,c_414]) ).
tcf(c_1447,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_458,c_416]) ).
tcf(c_1673,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( multiply(iPr_def_22,sk_c7) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_791,c_414]) ).
tcf(c_1719,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_951,c_791]) ).
tcf(c_1722,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_951,c_424]) ).
tcf(c_1760,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_17 )
| ( iPr_def_14 != iPr_def_15 )
| ( sk_c6 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_434,c_425]) ).
tcf(c_1867,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_16 )
| ( inverse(sk_c5) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_416,c_427]) ).
tcf(c_1882,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_18 )
| ( sk_c7 != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_1867,c_418]) ).
tcf(c_1968,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_24 )
| ( inverse(sk_c1) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_424,c_428]) ).
tcf(c_1970,plain,
( ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(sk_c8)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_84,c_428]) ).
tcf(c_1984,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_24 )
| ( sk_c8 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_1968,c_423]) ).
tcf(c_2073,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_14 )
| ( inverse(sk_c8) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_414,c_429]) ).
tcf(c_2074,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_19 )
| ( inverse(sk_c4) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_419,c_429]) ).
tcf(c_2094,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_20 )
| ( sk_c8 != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_2074,c_420]) ).
tcf(c_2219,plain,
( ~ iPr_def_13
| ( inverse(identity) != sk_c8 )
| ( multiply(inverse(identity),sk_c7) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_83,c_426]) ).
tcf(c_2365,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( iPr_def_19 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1026,c_987]) ).
tcf(c_2376,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1026,c_415]) ).
tcf(c_2542,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_414,c_85]) ).
tcf(c_2543,plain,
! [X0: $i] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_415,c_85]) ).
tcf(c_2544,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_419,c_85]) ).
tcf(c_2546,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_424,c_85]) ).
tcf(c_2547,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c3,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_422,c_85]) ).
tcf(c_2548,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c7,X0)) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_417,c_85]) ).
tcf(c_2550,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_84,c_85]) ).
tcf(c_2554,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_933,c_85]) ).
tcf(c_2555,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_934,c_85]) ).
tcf(c_2556,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_935,c_85]) ).
tcf(c_2557,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_936,c_85]) ).
tcf(c_2563,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2557,c_83]) ).
tcf(c_2564,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2556,c_83]) ).
tcf(c_2565,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2555,c_83]) ).
tcf(c_2566,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2554,c_83]) ).
tcf(c_2669,plain,
multiply(iPr_def_21,iPr_def_22) = sk_c3,
inference(superposition,[status(thm)],[c_422,c_2563]) ).
tcf(c_2680,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(iPr_def_22,X0)) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2669,c_85]) ).
tcf(c_2694,plain,
multiply(iPr_def_23,iPr_def_24) = sk_c8,
inference(superposition,[status(thm)],[c_424,c_2564]) ).
tcf(c_2720,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(iPr_def_24,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2694,c_85]) ).
tcf(c_2747,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( multiply(iPr_def_22,iPr_def_24) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_1719,c_2694]) ).
tcf(c_3267,plain,
multiply(iPr_def_18,iPr_def_16) = sk_c6,
inference(superposition,[status(thm)],[c_416,c_2565]) ).
tcf(c_3339,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_3267,c_85]) ).
tcf(c_3341,plain,
multiply(iPr_def_20,iPr_def_19) = sk_c7,
inference(superposition,[status(thm)],[c_419,c_2566]) ).
tcf(c_3344,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_19,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_3341,c_85]) ).
tcf(c_3358,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( multiply(iPr_def_22,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_2365,c_935]) ).
tcf(c_4816,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_452,c_989]) ).
tcf(c_4827,plain,
( ( sk_c8 = iPr_def_19 )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_4816,c_2694]) ).
tcf(c_5170,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_453,c_1029]) ).
tcf(c_5182,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_5170,c_2694]) ).
tcf(c_5399,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( sk_c8 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_5182,c_4827]) ).
tcf(c_6347,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_18,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1447,c_2565]) ).
tcf(c_6348,plain,
( ( sk_c6 = iPr_def_14 )
| ( sk_c8 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_6347,c_3267]) ).
tcf(c_7782,plain,
multiply(sk_c8,iPr_def_15) = multiply(iPr_def_14,sk_c8),
inference(superposition,[status(thm)],[c_415,c_2542]) ).
tcf(c_8269,plain,
multiply(sk_c4,iPr_def_15) = multiply(iPr_def_19,sk_c8),
inference(superposition,[status(thm)],[c_415,c_2544]) ).
tcf(c_8376,plain,
multiply(iPr_def_20,multiply(iPr_def_19,sk_c8)) = iPr_def_15,
inference(superposition,[status(thm)],[c_8269,c_2566]) ).
tcf(c_8398,plain,
multiply(sk_c1,iPr_def_14) = multiply(iPr_def_24,sk_c7),
inference(superposition,[status(thm)],[c_414,c_2546]) ).
tcf(c_8490,plain,
multiply(sk_c2,iPr_def_17) = multiply(iPr_def_22,sk_c7),
inference(superposition,[status(thm)],[c_417,c_2547]) ).
tcf(c_10202,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2550,c_83]) ).
tcf(c_10207,plain,
multiply(inverse(sk_c8),iPr_def_14) = sk_c7,
inference(superposition,[status(thm)],[c_414,c_10202]) ).
tcf(c_10208,plain,
multiply(inverse(sk_c7),iPr_def_15) = sk_c8,
inference(superposition,[status(thm)],[c_415,c_10202]) ).
tcf(c_10214,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_83,c_10202]) ).
tcf(c_10215,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_84,c_10202]) ).
tcf(c_10216,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_85,c_10202]) ).
tcf(c_10236,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( multiply(inverse(sk_c7),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2376,c_10202]) ).
tcf(c_10322,plain,
multiply(inverse(sk_c8),multiply(iPr_def_14,sk_c8)) = iPr_def_15,
inference(superposition,[status(thm)],[c_7782,c_10202]) ).
tcf(c_10335,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2566,c_10202]) ).
tcf(c_10336,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2565,c_10202]) ).
tcf(c_10337,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2564,c_10202]) ).
tcf(c_10338,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2563,c_10202]) ).
tcf(c_10377,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_10202,c_10202]) ).
tcf(c_11103,plain,
( ~ iPr_def_12
| ( sk_c7 != sk_c6 )
| ( inverse(inverse(identity)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_10214,c_427]) ).
tcf(c_11752,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_10215,c_10377]) ).
tcf(c_11763,plain,
multiply(sk_c3,sk_c7) = multiply(iPr_def_17,identity),
inference(superposition,[status(thm)],[c_11752,c_2548]) ).
tcf(c_11765,plain,
multiply(sk_c8,sk_c7) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_11752,c_2542]) ).
tcf(c_11767,plain,
multiply(sk_c7,sk_c8) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_11752,c_2543]) ).
tcf(c_11768,plain,
multiply(sk_c7,identity) = multiply(iPr_def_20,iPr_def_19),
inference(superposition,[status(thm)],[c_11752,c_3344]) ).
tcf(c_11769,plain,
multiply(sk_c6,identity) = multiply(iPr_def_18,iPr_def_16),
inference(superposition,[status(thm)],[c_11752,c_3339]) ).
tcf(c_11771,plain,
multiply(sk_c8,identity) = multiply(iPr_def_23,iPr_def_24),
inference(superposition,[status(thm)],[c_11752,c_2720]) ).
tcf(c_11772,plain,
multiply(sk_c3,identity) = multiply(iPr_def_21,iPr_def_22),
inference(superposition,[status(thm)],[c_11752,c_2680]) ).
tcf(c_11773,plain,
multiply(sk_c2,sk_c3) = multiply(iPr_def_22,identity),
inference(superposition,[status(thm)],[c_11752,c_2547]) ).
tcf(c_11778,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_11752,c_10214]) ).
tcf(c_11779,plain,
multiply(iPr_def_22,identity) = iPr_def_22,
inference(light_normalisation,[status(thm)],[c_11773,c_422]) ).
tcf(c_11780,plain,
multiply(sk_c3,identity) = sk_c3,
inference(light_normalisation,[status(thm)],[c_11772,c_2669]) ).
tcf(c_11781,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_11771,c_2694]) ).
tcf(c_11783,plain,
multiply(sk_c6,identity) = sk_c6,
inference(light_normalisation,[status(thm)],[c_11769,c_3267]) ).
tcf(c_11784,plain,
multiply(sk_c7,identity) = sk_c7,
inference(light_normalisation,[status(thm)],[c_11768,c_3341]) ).
tcf(c_11785,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_11767,c_415]) ).
tcf(c_11787,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_11765,c_414]) ).
tcf(c_11789,plain,
multiply(iPr_def_17,identity) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_11763,c_417]) ).
tcf(c_11809,plain,
( ( sk_c8 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_16 != iPr_def_24 )
| ( sk_c7 != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_453,c_1882]) ).
tcf(c_11812,plain,
( ( sk_c7 = iPr_def_16 )
| ~ iPr_def_12
| ( iPr_def_16 != iPr_def_24 )
| ( sk_c7 != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_450,c_1882]) ).
tcf(c_11869,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_11778,c_84]) ).
tcf(c_12207,plain,
( ( sk_c8 = iPr_def_14 )
| ~ iPr_def_10
| ( sk_c8 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4827,c_2094]) ).
tcf(c_12215,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_10
| ( iPr_def_19 != iPr_def_23 )
| ( sk_c8 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_447,c_2094]) ).
tcf(c_12796,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_20)) != sk_c8 )
| ( multiply(sk_c4,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_10335,c_428]) ).
tcf(c_12799,plain,
multiply(sk_c4,iPr_def_20) = identity,
inference(superposition,[status(thm)],[c_10335,c_84]) ).
tcf(c_12800,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_20)) != sk_c8 )
| ( multiply(sk_c4,sk_c7) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_10335,c_429]) ).
tcf(c_12803,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_10335,c_10202]) ).
tcf(c_12804,plain,
multiply(sk_c4,identity) = inverse(iPr_def_20),
inference(superposition,[status(thm)],[c_10335,c_11752]) ).
tcf(c_12810,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_19 )
| ( inverse(inverse(iPr_def_20)) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_12800,c_419]) ).
tcf(c_12845,plain,
inverse(iPr_def_20) = sk_c4,
inference(demodulation,[status(thm)],[c_12804,c_11752]) ).
tcf(c_13207,plain,
multiply(sk_c4,sk_c7) = iPr_def_19,
inference(superposition,[status(thm)],[c_3341,c_12803]) ).
tcf(c_13272,plain,
multiply(sk_c5,iPr_def_18) = identity,
inference(superposition,[status(thm)],[c_10336,c_84]) ).
tcf(c_13274,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_18)) != sk_c7 )
| ( multiply(sk_c5,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_10336,c_427]) ).
tcf(c_13276,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_18,X0)) = X0,
inference(superposition,[status(thm)],[c_10336,c_10202]) ).
tcf(c_13277,plain,
multiply(sk_c5,identity) = inverse(iPr_def_18),
inference(superposition,[status(thm)],[c_10336,c_11752]) ).
tcf(c_13416,plain,
( ~ iPr_def_10
| ( inverse(sk_c8) != sk_c8 ) ),
inference(global_subsumption_just,[status(thm)],[c_2073,c_2073,c_5182,c_12207]) ).
tcf(c_13437,plain,
( ( sk_c8 = iPr_def_20 )
| ~ iPr_def_10
| ( inverse(iPr_def_23) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_448,c_13416]) ).
tcf(c_13438,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_10
| ( inverse(iPr_def_23) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_447,c_13416]) ).
tcf(c_13499,plain,
( ( inverse(iPr_def_23) != iPr_def_23 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_13437,c_2094,c_13438,c_13437]) ).
tcf(c_13500,plain,
( ~ iPr_def_10
| ( inverse(iPr_def_23) != iPr_def_23 ) ),
inference(renaming,[status(thm)],[c_13499]) ).
tcf(c_13562,plain,
inverse(iPr_def_18) = sk_c5,
inference(demodulation,[status(thm)],[c_13277,c_11752]) ).
tcf(c_13565,plain,
( ~ iPr_def_13
| ( multiply(iPr_def_18,sk_c5) != sk_c8 )
| ( multiply(inverse(iPr_def_18),sk_c7) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_13562,c_426]) ).
tcf(c_13567,plain,
( ~ iPr_def_13
| ( sk_c8 != identity )
| ( multiply(sk_c5,sk_c7) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_13565,c_934,c_13562]) ).
tcf(c_13577,plain,
multiply(sk_c5,sk_c6) = iPr_def_16,
inference(superposition,[status(thm)],[c_3267,c_13276]) ).
tcf(c_13657,plain,
multiply(sk_c1,iPr_def_23) = identity,
inference(superposition,[status(thm)],[c_10337,c_84]) ).
tcf(c_13660,plain,
( ~ iPr_def_13
| ( multiply(sk_c1,inverse(inverse(iPr_def_23))) != sk_c8 )
| ( multiply(inverse(inverse(iPr_def_23)),sk_c7) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_10337,c_426]) ).
tcf(c_13661,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_23,X0)) = X0,
inference(superposition,[status(thm)],[c_10337,c_10202]) ).
tcf(c_13662,plain,
multiply(sk_c1,identity) = inverse(iPr_def_23),
inference(superposition,[status(thm)],[c_10337,c_11752]) ).
tcf(c_13686,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( identity = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_1722,c_13657]) ).
tcf(c_13687,plain,
( ( identity = iPr_def_24 )
| ( sk_c8 = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_1025,c_13657]) ).
tcf(c_13688,plain,
( ( identity = iPr_def_24 )
| ( sk_c8 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_985,c_13657]) ).
tcf(c_14215,plain,
multiply(iPr_def_23,identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_13657,c_2564]) ).
tcf(c_14233,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_13686,c_11778]) ).
tcf(c_14314,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_13687,c_415]) ).
tcf(c_14587,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_19,sk_c7) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13688,c_414]) ).
tcf(c_14799,plain,
inverse(iPr_def_23) = sk_c1,
inference(demodulation,[status(thm)],[c_13662,c_11752]) ).
tcf(c_14801,plain,
( ~ iPr_def_10
| ( sk_c1 != iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_13500,c_14799]) ).
tcf(c_14853,plain,
multiply(sk_c1,sk_c8) = iPr_def_24,
inference(superposition,[status(thm)],[c_2694,c_13661]) ).
tcf(c_15300,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c7),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_14314,c_10202]) ).
tcf(c_15388,plain,
multiply(sk_c2,iPr_def_21) = identity,
inference(superposition,[status(thm)],[c_10338,c_84]) ).
tcf(c_15390,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_21)) != sk_c7 )
| ( multiply(sk_c2,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_10338,c_427]) ).
tcf(c_15393,plain,
multiply(sk_c2,identity) = inverse(iPr_def_21),
inference(superposition,[status(thm)],[c_10338,c_11752]) ).
tcf(c_15406,plain,
( ( identity = iPr_def_22 )
| ( sk_c7 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_895,c_15388]) ).
tcf(c_15407,plain,
( ( identity = iPr_def_22 )
| ( sk_c7 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_894,c_15388]) ).
tcf(c_15408,plain,
( ( identity = iPr_def_22 )
| ( sk_c8 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_893,c_15388]) ).
tcf(c_15409,plain,
( ( identity = iPr_def_22 )
| ( sk_c8 = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_892,c_15388]) ).
tcf(c_15445,plain,
inverse(iPr_def_21) = sk_c2,
inference(demodulation,[status(thm)],[c_15393,c_11752]) ).
tcf(c_15818,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_15407,c_15406]) ).
tcf(c_16339,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_15409,c_15408]) ).
tcf(c_16391,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_15409,c_415]) ).
tcf(c_16998,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c7,sk_c7) = multiply(iPr_def_20,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_14587,c_3344]) ).
tcf(c_17281,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_18 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_15818,c_83]) ).
tcf(c_17305,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_20 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_16339,c_83]) ).
tcf(c_20171,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( multiply(iPr_def_24,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_14233,c_84]) ).
tcf(c_20874,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c7),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_16391,c_10202]) ).
tcf(c_20963,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( sk_c7 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_17281,c_1673]) ).
tcf(c_20968,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( sk_c8 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_17281,c_2747]) ).
tcf(c_22231,plain,
( ( iPr_def_17 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_20968,c_679]) ).
tcf(c_23307,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_17305,c_3358]) ).
tcf(c_24930,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_22231,c_20171]) ).
tcf(c_25523,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( inverse(identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23307,c_423]) ).
tcf(c_25524,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( identity = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_25523,c_11778]) ).
tcf(c_31951,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_25524,c_11778]) ).
tcf(c_31954,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( sk_c1 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_31951,c_14799]) ).
tcf(c_33577,plain,
( ( iPr_def_19 = iPr_def_20 )
| ~ iPr_def_10 ),
inference(superposition,[status(thm)],[c_31954,c_14801]) ).
tcf(c_38453,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_14)) = sk_c7,
inference(superposition,[status(thm)],[c_414,c_10216]) ).
tcf(c_38454,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_15)) = sk_c8,
inference(superposition,[status(thm)],[c_415,c_10216]) ).
tcf(c_42698,plain,
multiply(inverse(iPr_def_24),multiply(sk_c1,iPr_def_14)) = sk_c7,
inference(superposition,[status(thm)],[c_14853,c_38453]) ).
tcf(c_42701,plain,
multiply(inverse(identity),multiply(inverse(sk_c8),iPr_def_14)) = sk_c7,
inference(superposition,[status(thm)],[c_84,c_38453]) ).
tcf(c_42761,plain,
multiply(inverse(multiply(inverse(iPr_def_14),sk_c8)),identity) = sk_c7,
inference(superposition,[status(thm)],[c_84,c_38453]) ).
tcf(c_42794,plain,
multiply(inverse(iPr_def_24),multiply(iPr_def_24,sk_c7)) = sk_c7,
inference(light_normalisation,[status(thm)],[c_42698,c_8398]) ).
tcf(c_42796,plain,
multiply(identity,sk_c7) = sk_c7,
inference(light_normalisation,[status(thm)],[c_42701,c_10207,c_11778]) ).
tcf(c_43270,plain,
( ~ iPr_def_13
| ( sk_c8 != identity )
| ( multiply(identity,sk_c7) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_2219,c_11778]) ).
tcf(c_43545,plain,
( ( sk_c7 != iPr_def_18 )
| ( iPr_def_16 != iPr_def_24 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_11809,c_1882,c_11812]) ).
tcf(c_43546,plain,
( ~ iPr_def_12
| ( iPr_def_16 != iPr_def_24 )
| ( sk_c7 != iPr_def_18 ) ),
inference(renaming,[status(thm)],[c_43545]) ).
tcf(c_43800,plain,
inverse(multiply(inverse(iPr_def_14),sk_c8)) = sk_c7,
inference(demodulation,[status(thm)],[c_42761,c_11752]) ).
tcf(c_43843,plain,
( ~ iPr_def_13
| ( multiply(multiply(inverse(iPr_def_14),sk_c8),sk_c7) != sk_c8 )
| ( multiply(inverse(multiply(inverse(iPr_def_14),sk_c8)),sk_c7) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_43800,c_426]) ).
tcf(c_43844,plain,
multiply(sk_c7,multiply(inverse(iPr_def_14),sk_c8)) = identity,
inference(superposition,[status(thm)],[c_43800,c_84]) ).
tcf(c_43846,plain,
multiply(sk_c7,multiply(inverse(iPr_def_14),iPr_def_14)) = sk_c7,
inference(superposition,[status(thm)],[c_43800,c_38453]) ).
tcf(c_43927,plain,
( ~ iPr_def_13
| ( multiply(sk_c7,sk_c7) != sk_c8 )
| ( multiply(multiply(inverse(iPr_def_14),sk_c8),sk_c7) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_43843,c_43800]) ).
tcf(c_44060,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_20963,c_43844]) ).
tcf(c_44104,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( multiply(sk_c7,multiply(inverse(iPr_def_14),iPr_def_14)) = identity ) ),
inference(superposition,[status(thm)],[c_5399,c_43844]) ).
tcf(c_44127,plain,
multiply(inverse(sk_c7),identity) = multiply(inverse(iPr_def_14),sk_c8),
inference(superposition,[status(thm)],[c_43844,c_10202]) ).
tcf(c_44139,plain,
multiply(iPr_def_14,multiply(inverse(iPr_def_14),sk_c8)) = multiply(sk_c8,identity),
inference(superposition,[status(thm)],[c_43844,c_2542]) ).
tcf(c_44181,plain,
( ( iPr_def_19 = iPr_def_20 )
| ( sk_c7 = identity ) ),
inference(light_normalisation,[status(thm)],[c_44104,c_43846]) ).
tcf(c_44442,plain,
multiply(inverse(identity),multiply(inverse(sk_c7),iPr_def_15)) = sk_c8,
inference(superposition,[status(thm)],[c_84,c_38454]) ).
tcf(c_44541,plain,
multiply(identity,sk_c8) = sk_c8,
inference(light_normalisation,[status(thm)],[c_44442,c_10208,c_11778]) ).
tcf(c_44915,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_44181,c_44139,c_44127,c_44060,c_43927,c_43843,c_43800,c_43546,c_43270,c_42794,c_33577,c_24930,c_20874,c_16998,c_15445,c_15390,c_15388,c_15300,c_14853,c_14799,c_14215,c_13660,c_13657,c_13577,c_13567,c_13562,c_13416,c_13274,c_13277,c_13272,c_13207,c_12845,c_12810,c_12800,c_12796,c_12804,c_12799,c_12215,c_11789,c_11787,c_11785,c_11784,c_11783,c_11781,c_11780,c_11779,c_11771,c_11769,c_11768,c_11767,c_11765,c_11763,c_11778,c_11103,c_10322,c_10236,c_10208,c_8490,c_8376,c_8269,c_7782,c_6348,c_42796,c_1984,c_1970,c_1760,c_11869,c_459,c_458,c_454,c_453,c_452,c_451,c_450,c_449,c_446,c_441,c_436,c_434,c_433,c_432,c_431,c_430,c_425,c_423,c_421,c_420,c_418,c_44541]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP279-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.43 % Computer : n017.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Wed Sep 23 14:16:14 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.49 Running first-order theorem proving
% 0.17/0.49 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.26/0.51
% 0.26/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.26/0.51
% 0.26/0.51 % Detected problem language: tptp
% 0.26/0.53 % Proving...
% 18.42/3.94 % SZS status Started for theBenchmark.p
% 18.42/3.94 % SZS status Unsatisfiable for theBenchmark.p
% 18.42/3.94
% 18.42/3.94 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 18.42/3.94
% 18.42/3.94 % ------ iProver source info
% 18.42/3.94
% 18.42/3.94 % git: date: 2026-07-19 20:42:38 +0200
% 18.42/3.94 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 18.42/3.94 % git: non_committed_changes: false
% 18.42/3.94
% 18.42/3.94 % ------ Parsing...% successful
% 18.42/3.94
% 18.42/3.94
% 18.42/3.94 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 18.42/3.94
% 18.42/3.94 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 18.42/3.94
% 18.42/3.94 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 18.42/3.94
% 18.42/3.94 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 18.42/3.94 % ------ Proving...
% 18.42/3.94 % ------ Problem Properties
% 18.42/3.94
% 18.42/3.94 %
% 18.42/3.94 % clauses 49
% 18.42/3.94 % conjectures 35
% 18.42/3.94 % EPR 31
% 18.42/3.94 % Horn 18
% 18.42/3.94 % unary 14
% 18.42/3.94 % binary 30
% 18.42/3.94 % lits 92
% 18.42/3.94 % lits eq 84
% 18.42/3.94 % fd_pure 0
% 18.42/3.94 % fd_pseudo 0
% 18.42/3.94 % fd_cond 0
% 18.42/3.94 % fd_pseudo_cond 0
% 18.42/3.94 % AC symbols 0
% 18.42/3.94
% 18.42/3.94 % ------ Schedule dynamic 5 is on
% 18.42/3.94
% 18.42/3.94 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 18.42/3.94
% 18.42/3.94
% 18.42/3.94 % ------
% 18.42/3.94 % Current options:
% 18.42/3.94 % ------
% 18.42/3.94
% 18.42/3.94
% 18.42/3.94 %
% 18.42/3.94
% 18.42/3.94 % ------ Proving...
% 18.42/3.94 %
% 18.42/3.94
% 18.42/3.94 % SZS status Unsatisfiable for theBenchmark.p
% 18.42/3.94
% 18.42/3.94 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.42/3.95
% 18.42/3.95
%------------------------------------------------------------------------------