%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP288-1 : 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 : n020.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 01:32:44 PM UTC 2026
% Result : Unsatisfiable 6.74s 11.75s
% Output : CNFRefutation 6.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 39
% Syntax : Number of formulae : 264 ( 88 unt; 10 def)
% Number of atoms : 832 ( 467 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 409 ( 134 ~; 275 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 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 : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 62 !; 0 ?; 48 :)
% 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_c6,sk_c7) = sk_c5
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c7 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( inverse(sk_c4) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c6 = inverse(sk_c4)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c4) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c5 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = inverse(sk_c3)
| sk_c5 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c5 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c5 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c4) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c6 = inverse(sk_c4)
| sk_c5 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c7 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c6 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
! [X2,X3,X0,X1] :
( inverse(X3) != sk_c6
| multiply(X3,sk_c6) != sk_c7
| multiply(X2,sk_c6) != sk_c7
| inverse(X2) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X1) != sk_c6
| multiply(X1,sk_c6) != sk_c5
| inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( sk_c6 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X2,sk_c6)
| sk_c7 != inverse(X2)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != inverse(X1)
| sk_c5 != multiply(X1,sk_c6)
| inverse(X0) != sk_c7
| sk_c6 != multiply(X0,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(reorient_equations,[],[f55]) ).
tcf(c_78,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_79,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_81,negated_conjecture,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_82,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_83,negated_conjecture,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_84,negated_conjecture,
( ( multiply(sk_c4,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_85,negated_conjecture,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_86,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_87,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_88,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_89,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_90,negated_conjecture,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_91,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c6 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_96,negated_conjecture,
( ( multiply(sk_c2,sk_c6) = sk_c5 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c2,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_98,negated_conjecture,
( ( multiply(sk_c2,sk_c6) = sk_c5 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_99,negated_conjecture,
( ( multiply(sk_c2,sk_c6) = sk_c5 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_100,negated_conjecture,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c2,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_101,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_102,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_103,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_104,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_105,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c4) = sk_c6 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_106,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(X3) != sk_c6 )
| ( inverse(X2) != sk_c7 )
| ( inverse(X1) != sk_c6 )
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( multiply(sk_c7,sk_c6) != sk_c5 )
| ( multiply(X3,sk_c6) != sk_c5 )
| ( multiply(X2,sk_c6) != sk_c7 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_359,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_106]) ).
tcf(c_360,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_106]) ).
tcf(c_361,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c5 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_106]) ).
tcf(c_362,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_106]) ).
tcf(c_363,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( multiply(sk_c7,sk_c6) != sk_c5 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_106]) ).
tcf(c_364,definition,
iPr_def_14 = multiply(sk_c7,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_365,definition,
iPr_def_15 = multiply(sk_c6,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_366,definition,
iPr_def_16 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_367,definition,
iPr_def_17 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_368,definition,
iPr_def_18 = multiply(sk_c4,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_369,definition,
iPr_def_19 = multiply(sk_c3,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_370,definition,
iPr_def_20 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_371,definition,
iPr_def_21 = multiply(sk_c2,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_372,definition,
iPr_def_22 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_373,definition,
iPr_def_23 = multiply(sk_c1,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_374,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != sk_c5 )
| ( iPr_def_14 != sk_c5 ) ),
inference(demodulation,[status(thm)],[c_363,c_365,c_364]) ).
tcf(c_375,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_362]) ).
tcf(c_376,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm)],[c_361]) ).
tcf(c_377,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_360]) ).
tcf(c_378,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_359]) ).
tcf(c_379,negated_conjecture,
( ( iPr_def_17 = sk_c6 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_105,c_367,c_366]) ).
tcf(c_380,negated_conjecture,
( ( iPr_def_18 = sk_c7 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_104,c_368]) ).
tcf(c_381,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_103,c_369]) ).
tcf(c_382,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_102,c_370]) ).
tcf(c_383,negated_conjecture,
( ( iPr_def_17 = sk_c6 )
| ( iPr_def_15 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_384,negated_conjecture,
( ( iPr_def_21 = sk_c5 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_100,c_371]) ).
tcf(c_385,negated_conjecture,
( ( iPr_def_21 = sk_c5 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_386,negated_conjecture,
( ( iPr_def_21 = sk_c5 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_387,negated_conjecture,
( ( iPr_def_21 = sk_c5 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_388,negated_conjecture,
( ( iPr_def_21 = sk_c5 )
| ( iPr_def_15 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_389,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_95,c_372]) ).
tcf(c_390,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_391,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_392,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_393,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_15 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_394,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_90,c_373]) ).
tcf(c_395,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_396,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_397,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_398,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_15 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_399,negated_conjecture,
( ( iPr_def_16 = sk_c6 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_85]) ).
tcf(c_400,negated_conjecture,
( ( iPr_def_18 = sk_c7 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_84]) ).
tcf(c_401,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_83]) ).
tcf(c_402,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_82]) ).
tcf(c_403,negated_conjecture,
( ( iPr_def_15 = sk_c5 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_81]) ).
tcf(c_708,plain,
( ( sk_c6 = iPr_def_16 )
| ( multiply(iPr_def_22,sk_c6) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_389,c_364]) ).
tcf(c_733,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_22,sk_c6) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_390,c_364]) ).
tcf(c_842,plain,
( ( sk_c6 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_394,c_369]) ).
tcf(c_872,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_392,c_373]) ).
tcf(c_874,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_390,c_373]) ).
tcf(c_875,plain,
( ( sk_c6 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_389,c_373]) ).
tcf(c_906,plain,
multiply(iPr_def_20,sk_c3) = identity,
inference(superposition,[status(thm)],[c_370,c_79]) ).
tcf(c_907,plain,
multiply(iPr_def_16,sk_c4) = identity,
inference(superposition,[status(thm)],[c_366,c_79]) ).
tcf(c_908,plain,
multiply(iPr_def_22,sk_c1) = identity,
inference(superposition,[status(thm)],[c_372,c_79]) ).
tcf(c_909,plain,
multiply(iPr_def_17,sk_c2) = identity,
inference(superposition,[status(thm)],[c_367,c_79]) ).
tcf(c_925,plain,
( ( sk_c6 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_18) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_395,c_373]) ).
tcf(c_985,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c6 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_396,c_395]) ).
tcf(c_1053,plain,
( ( sk_c6 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_397,c_373]) ).
tcf(c_1302,plain,
( ( iPr_def_14 = iPr_def_21 )
| ( sk_c7 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_402,c_387]) ).
tcf(c_1395,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c7 = iPr_def_20 )
| ( sk_c5 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_402,c_374]) ).
tcf(c_1397,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c7 = iPr_def_18 )
| ( sk_c5 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_400,c_374]) ).
tcf(c_1398,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c6 = iPr_def_16 )
| ( sk_c5 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_399,c_374]) ).
tcf(c_1584,plain,
! [X0: $i] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_364,c_80]) ).
tcf(c_1585,plain,
! [X0: $i] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_365,c_80]) ).
tcf(c_1586,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_369,c_80]) ).
tcf(c_1587,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c6,X0)) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_368,c_80]) ).
tcf(c_1588,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_373,c_80]) ).
tcf(c_1591,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_79,c_80]) ).
tcf(c_1593,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_906,c_80]) ).
tcf(c_1594,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_907,c_80]) ).
tcf(c_1595,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_908,c_80]) ).
tcf(c_1596,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_909,c_80]) ).
tcf(c_1598,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1596,c_78]) ).
tcf(c_1599,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1595,c_78]) ).
tcf(c_1600,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1594,c_78]) ).
tcf(c_1601,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1593,c_78]) ).
tcf(c_2081,plain,
( ~ iPr_def_13
| ( sk_c6 != iPr_def_23 )
| ( inverse(sk_c1) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_373,c_375]) ).
tcf(c_2098,plain,
( ~ iPr_def_13
| ( sk_c6 != iPr_def_23 )
| ( sk_c7 != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_2081,c_372]) ).
tcf(c_2186,plain,
( ~ iPr_def_12
| ( sk_c5 != iPr_def_18 )
| ( inverse(sk_c4) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_368,c_376]) ).
tcf(c_2187,plain,
( ~ iPr_def_12
| ( sk_c5 != iPr_def_21 )
| ( inverse(sk_c2) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_371,c_376]) ).
tcf(c_2188,plain,
( ~ iPr_def_12
| ( sk_c6 != sk_c5 )
| ( inverse(identity) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_78,c_376]) ).
tcf(c_2204,plain,
( ~ iPr_def_12
| ( sk_c5 != iPr_def_21 )
| ( sk_c6 != iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_2187,c_367]) ).
tcf(c_2208,plain,
( ~ iPr_def_12
| ( sk_c5 != iPr_def_18 )
| ( sk_c6 != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_2186,c_366]) ).
tcf(c_2333,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_21 )
| ( inverse(sk_c2) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_371,c_377]) ).
tcf(c_2335,plain,
( ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(sk_c6)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_79,c_377]) ).
tcf(c_2350,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_17 )
| ( sk_c7 != iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_2333,c_367]) ).
tcf(c_2499,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_14 )
| ( inverse(sk_c7) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_364,c_378]) ).
tcf(c_2500,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_19 )
| ( inverse(sk_c3) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_369,c_378]) ).
tcf(c_2527,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_20 )
| ( sk_c7 != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_2500,c_370]) ).
tcf(c_2960,plain,
multiply(iPr_def_17,iPr_def_21) = sk_c6,
inference(superposition,[status(thm)],[c_371,c_1598]) ).
tcf(c_2984,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_21,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2960,c_80]) ).
tcf(c_3003,plain,
multiply(iPr_def_22,iPr_def_23) = sk_c7,
inference(superposition,[status(thm)],[c_373,c_1599]) ).
tcf(c_3006,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(iPr_def_23,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_3003,c_80]) ).
tcf(c_3015,plain,
multiply(iPr_def_16,iPr_def_18) = sk_c6,
inference(superposition,[status(thm)],[c_368,c_1600]) ).
tcf(c_3018,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_3015,c_80]) ).
tcf(c_3020,plain,
multiply(iPr_def_20,iPr_def_19) = sk_c6,
inference(superposition,[status(thm)],[c_369,c_1601]) ).
tcf(c_3023,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_19,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_3020,c_80]) ).
tcf(c_3571,plain,
( ( sk_c6 = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_394,c_708]) ).
tcf(c_3577,plain,
( ( sk_c6 = iPr_def_16 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_3571,c_3003]) ).
tcf(c_3633,plain,
( ( sk_c6 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_3577,c_373]) ).
tcf(c_3639,plain,
( ( sk_c6 = iPr_def_16 )
| ( multiply(iPr_def_14,sk_c6) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_3577,c_364]) ).
tcf(c_4004,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_985,c_733]) ).
tcf(c_4013,plain,
( ( sk_c7 = iPr_def_18 )
| ~ iPr_def_11
| ( sk_c7 != iPr_def_14 )
| ( inverse(iPr_def_22) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_733,c_377]) ).
tcf(c_4033,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c7 = iPr_def_18 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_4004,c_3003]) ).
tcf(c_4416,plain,
( ( sk_c6 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_19) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_842,c_1601]) ).
tcf(c_4417,plain,
( ( sk_c6 = iPr_def_23 )
| ( sk_c6 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_4416,c_3020]) ).
tcf(c_4712,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_872,c_1599]) ).
tcf(c_4713,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_4712,c_3003]) ).
tcf(c_4736,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_874,c_1599]) ).
tcf(c_4737,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_4736,c_3003]) ).
tcf(c_4748,plain,
( ( sk_c6 = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_875,c_1599]) ).
tcf(c_4749,plain,
( ( sk_c6 = iPr_def_16 )
| ( sk_c7 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_4748,c_3003]) ).
tcf(c_4796,plain,
( ( sk_c6 = iPr_def_23 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_925,c_1599]) ).
tcf(c_4797,plain,
( ( sk_c6 = iPr_def_23 )
| ( sk_c7 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_4796,c_3003]) ).
tcf(c_5121,plain,
( ( sk_c6 = iPr_def_23 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1053,c_1599]) ).
tcf(c_5122,plain,
( ( sk_c6 = iPr_def_23 )
| ( sk_c7 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_5121,c_3003]) ).
tcf(c_5883,plain,
multiply(sk_c6,iPr_def_14) = multiply(iPr_def_15,sk_c6),
inference(superposition,[status(thm)],[c_364,c_1585]) ).
tcf(c_6202,plain,
multiply(sk_c3,iPr_def_15) = multiply(iPr_def_19,sk_c7),
inference(superposition,[status(thm)],[c_365,c_1586]) ).
tcf(c_6431,plain,
multiply(iPr_def_20,multiply(iPr_def_19,sk_c7)) = iPr_def_15,
inference(superposition,[status(thm)],[c_6202,c_1601]) ).
tcf(c_6433,plain,
multiply(sk_c4,iPr_def_15) = multiply(iPr_def_18,sk_c7),
inference(superposition,[status(thm)],[c_365,c_1587]) ).
tcf(c_6518,plain,
multiply(sk_c1,iPr_def_14) = multiply(iPr_def_23,sk_c6),
inference(superposition,[status(thm)],[c_364,c_1588]) ).
tcf(c_8058,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1591,c_78]) ).
tcf(c_8064,plain,
multiply(inverse(sk_c6),iPr_def_15) = sk_c7,
inference(superposition,[status(thm)],[c_365,c_8058]) ).
tcf(c_8068,plain,
multiply(inverse(sk_c2),iPr_def_21) = sk_c6,
inference(superposition,[status(thm)],[c_371,c_8058]) ).
tcf(c_8069,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_78,c_8058]) ).
tcf(c_8070,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_79,c_8058]) ).
tcf(c_8145,plain,
multiply(inverse(iPr_def_17),identity) = sk_c2,
inference(superposition,[status(thm)],[c_909,c_8058]) ).
tcf(c_8153,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1601,c_8058]) ).
tcf(c_8154,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_1600,c_8058]) ).
tcf(c_8155,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1599,c_8058]) ).
tcf(c_8168,plain,
multiply(inverse(iPr_def_17),sk_c6) = iPr_def_21,
inference(superposition,[status(thm)],[c_2960,c_8058]) ).
tcf(c_8180,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_8058,c_8058]) ).
tcf(c_8715,plain,
( ~ iPr_def_13
| ( sk_c7 != sk_c6 )
| ( inverse(inverse(identity)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_8069,c_375]) ).
tcf(c_8735,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_8070,c_8180]) ).
tcf(c_8746,plain,
multiply(sk_c7,sk_c6) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_8735,c_1584]) ).
tcf(c_8747,plain,
multiply(sk_c1,sk_c7) = multiply(iPr_def_23,identity),
inference(superposition,[status(thm)],[c_8735,c_1588]) ).
tcf(c_8748,plain,
multiply(sk_c6,sk_c7) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_8735,c_1585]) ).
tcf(c_8753,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_8735,c_8069]) ).
tcf(c_8754,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_8748,c_365]) ).
tcf(c_8755,plain,
multiply(iPr_def_23,identity) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_8747,c_373]) ).
tcf(c_8756,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_8746,c_364]) ).
tcf(c_8764,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_8753,c_79]) ).
tcf(c_9266,plain,
( ( sk_c5 != iPr_def_15 )
| ( sk_c7 = iPr_def_20 )
| iPr_def_10
| iPr_def_11
| iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_1395,c_1395,c_2098,c_4713,c_5122]) ).
tcf(c_9267,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c7 = iPr_def_20 )
| ( sk_c5 != iPr_def_15 ) ),
inference(renaming,[status(thm)],[c_9266]) ).
tcf(c_9456,plain,
multiply(sk_c6,identity) = multiply(iPr_def_17,iPr_def_21),
inference(superposition,[status(thm)],[c_8735,c_2984]) ).
tcf(c_9463,plain,
multiply(sk_c6,identity) = sk_c6,
inference(light_normalisation,[status(thm)],[c_9456,c_2960]) ).
tcf(c_9498,plain,
multiply(sk_c7,identity) = multiply(iPr_def_22,iPr_def_23),
inference(superposition,[status(thm)],[c_8735,c_3006]) ).
tcf(c_9504,plain,
multiply(sk_c7,identity) = sk_c7,
inference(light_normalisation,[status(thm)],[c_9498,c_3003]) ).
tcf(c_9551,plain,
multiply(sk_c6,identity) = multiply(iPr_def_16,iPr_def_18),
inference(superposition,[status(thm)],[c_8735,c_3018]) ).
tcf(c_9615,plain,
multiply(sk_c6,identity) = multiply(iPr_def_20,iPr_def_19),
inference(superposition,[status(thm)],[c_8735,c_3023]) ).
tcf(c_9687,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_20)) != sk_c7 )
| ( multiply(sk_c3,sk_c7) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_8153,c_375]) ).
tcf(c_9688,plain,
multiply(sk_c3,iPr_def_20) = identity,
inference(superposition,[status(thm)],[c_8153,c_79]) ).
tcf(c_9691,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_20)) != sk_c7 )
| ( multiply(sk_c3,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_8153,c_378]) ).
tcf(c_9694,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_8153,c_8058]) ).
tcf(c_9695,plain,
multiply(sk_c3,identity) = inverse(iPr_def_20),
inference(superposition,[status(thm)],[c_8153,c_8735]) ).
tcf(c_9729,plain,
multiply(iPr_def_20,identity) = iPr_def_20,
inference(superposition,[status(thm)],[c_9688,c_1601]) ).
tcf(c_9732,plain,
inverse(iPr_def_20) = sk_c3,
inference(demodulation,[status(thm)],[c_9695,c_8735]) ).
tcf(c_9740,plain,
multiply(sk_c3,sk_c6) = iPr_def_19,
inference(superposition,[status(thm)],[c_3020,c_9694]) ).
tcf(c_9978,plain,
( ( sk_c5 != iPr_def_15 )
| ( sk_c7 = iPr_def_18 )
| iPr_def_10
| iPr_def_11
| iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_1397,c_1397,c_2098,c_4737,c_4797]) ).
tcf(c_9979,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c7 = iPr_def_18 )
| ( sk_c5 != iPr_def_15 ) ),
inference(renaming,[status(thm)],[c_9978]) ).
tcf(c_10122,plain,
( ( sk_c5 != iPr_def_15 )
| ( sk_c6 = iPr_def_16 )
| iPr_def_10
| iPr_def_11
| iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_1398,c_1398,c_2098,c_4417,c_4749]) ).
tcf(c_10123,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c6 = iPr_def_16 )
| ( sk_c5 != iPr_def_15 ) ),
inference(renaming,[status(thm)],[c_10122]) ).
tcf(c_10153,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c6 = iPr_def_16 )
| ( iPr_def_15 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_384,c_10123]) ).
tcf(c_10198,plain,
( ( sk_c6 = iPr_def_16 )
| ( multiply(iPr_def_23,sk_c6) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_3633,c_6518]) ).
tcf(c_10221,plain,
( ( sk_c6 = iPr_def_16 )
| ( multiply(iPr_def_23,iPr_def_17) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_379,c_10198]) ).
tcf(c_10349,plain,
( ( sk_c6 = iPr_def_16 )
| ~ iPr_def_11
| ( sk_c7 != iPr_def_14 )
| ( inverse(iPr_def_14) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_3639,c_377]) ).
tcf(c_10399,plain,
multiply(sk_c4,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_8154,c_79]) ).
tcf(c_10403,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_16)) != sk_c6 )
| ( multiply(sk_c4,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_8154,c_377]) ).
tcf(c_10405,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_8154,c_8058]) ).
tcf(c_10406,plain,
multiply(sk_c4,identity) = inverse(iPr_def_16),
inference(superposition,[status(thm)],[c_8154,c_8735]) ).
tcf(c_10411,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_18 )
| ( inverse(inverse(iPr_def_16)) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_10403,c_368]) ).
tcf(c_10521,plain,
inverse(iPr_def_16) = sk_c4,
inference(demodulation,[status(thm)],[c_10406,c_8735]) ).
tcf(c_10564,plain,
( ( sk_c6 = iPr_def_16 )
| ( multiply(inverse(iPr_def_23),iPr_def_23) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10221,c_8058]) ).
tcf(c_10952,plain,
multiply(sk_c4,sk_c6) = iPr_def_18,
inference(superposition,[status(thm)],[c_3015,c_10405]) ).
tcf(c_10989,plain,
multiply(sk_c1,iPr_def_22) = identity,
inference(superposition,[status(thm)],[c_8155,c_79]) ).
tcf(c_10994,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_22)) != sk_c6 )
| ( multiply(sk_c1,sk_c6) != sk_c5 ) ),
inference(superposition,[status(thm)],[c_8155,c_376]) ).
tcf(c_10996,plain,
multiply(sk_c1,identity) = inverse(iPr_def_22),
inference(superposition,[status(thm)],[c_8155,c_8735]) ).
tcf(c_11057,plain,
( ~ iPr_def_12
| ( sk_c6 != identity )
| ( sk_c6 != sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_2188,c_8753]) ).
tcf(c_11926,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_11057,c_10994,c_10996,c_10989,c_10952,c_10564,c_10521,c_10411,c_10399,c_10349,c_10153,c_9979,c_9740,c_9732,c_9729,c_9691,c_9687,c_9688,c_9615,c_9551,c_9504,c_9498,c_9463,c_9267,c_8756,c_8755,c_8754,c_8748,c_8747,c_8746,c_8753,c_8715,c_8168,c_8145,c_8068,c_8064,c_6518,c_6433,c_6431,c_5883,c_5122,c_4033,c_4013,c_2527,c_2499,c_2350,c_2335,c_2208,c_2204,c_2098,c_1302,c_8764,c_403,c_402,c_401,c_400,c_399,c_398,c_396,c_394,c_393,c_392,c_391,c_390,c_389,c_388,c_387,c_386,c_385,c_384,c_383,c_382,c_381,c_380,c_379,c_374,c_370,c_367,c_366]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP288-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/10.38 % Computer : n020.cluster.edu
% 0.08/10.38 % Model : x86_64 x86_64
% 0.08/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.38 % Memory : 8046.5625MB
% 0.08/10.38 % OS : Linux 6.8.0-71-generic
% 0.08/10.38 % CPULimit : 300
% 0.08/10.38 % WCLimit : 300
% 0.08/10.38 % DateTime : Wed Sep 23 14:23:13 UTC 2026
% 0.08/10.38 % CPUTime :
% 0.08/10.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/10.42 Running first-order theorem proving
% 0.13/10.42 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
% 0.13/10.43
% 0.13/10.43 % ======== iProver multi-core TPTP/SMT =========
% 0.13/10.43
% 0.13/10.43 % Detected problem language: tptp
% 0.13/10.44 % Proving...
% 6.74/11.75 % SZS status Started for theBenchmark.p
% 6.74/11.75 % SZS status Unsatisfiable for theBenchmark.p
% 6.74/11.75
% 6.74/11.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.74/11.75
% 6.74/11.75 % ------ iProver source info
% 6.74/11.75
% 6.74/11.75 % git: date: 2026-07-19 20:42:38 +0200
% 6.74/11.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.74/11.75 % git: non_committed_changes: false
% 6.74/11.75
% 6.74/11.75 % ------ Parsing...% successful
% 6.74/11.75
% 6.74/11.75
% 6.74/11.75 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.74/11.75
% 6.74/11.75 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 6.74/11.75
% 6.74/11.75 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.74/11.75
% 6.74/11.75 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 6.74/11.75 % ------ Proving...
% 6.74/11.75 % ------ Problem Properties
% 6.74/11.75
% 6.74/11.75 %
% 6.74/11.75 % clauses 43
% 6.74/11.75 % conjectures 30
% 6.74/11.75 % EPR 26
% 6.74/11.75 % Horn 17
% 6.74/11.75 % unary 13
% 6.74/11.75 % binary 25
% 6.74/11.75 % lits 81
% 6.74/11.75 % lits eq 73
% 6.74/11.75 % fd_pure 0
% 6.74/11.75 % fd_pseudo 0
% 6.74/11.75 % fd_cond 0
% 6.74/11.75 % fd_pseudo_cond 0
% 6.74/11.75 % AC symbols 0
% 6.74/11.75
% 6.74/11.75 % ------ Schedule dynamic 5 is on
% 6.74/11.75
% 6.74/11.75 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.74/11.75
% 6.74/11.75
% 6.74/11.75 % ------
% 6.74/11.75 % Current options:
% 6.74/11.75 % ------
% 6.74/11.75
% 6.74/11.75
% 6.74/11.75 %
% 6.74/11.75
% 6.74/11.75 % ------ Proving...
% 6.74/11.75 %
% 6.74/11.75
% 6.74/11.75 % SZS status Unsatisfiable for theBenchmark.p
% 6.74/11.75
% 6.74/11.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.74/11.75
% 6.74/11.75
%------------------------------------------------------------------------------