%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP287-1 : 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 1.01s 1.72s
% Output : CNFRefutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 37
% Syntax : Number of formulae : 229 ( 83 unt; 10 def)
% Number of atoms : 667 ( 400 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 290 ( 91 ~; 199 |; 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,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( inverse(sk_c3) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c6 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c4) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c6 = inverse(sk_c4)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| 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,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c3) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c6 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c4) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f21]) ).
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,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c3) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c6 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f31]) ).
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,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c5 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c3) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c6 = inverse(sk_c3)
| sk_c5 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c4) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c6 = inverse(sk_c4)
| sk_c5 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| 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,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c3) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c6 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c6 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(X3,sk_c5) != sk_c6
| inverse(X3) != sk_c6
| inverse(X2) != sk_c6
| multiply(X2,sk_c6) != 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 != multiply(X3,sk_c5)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6)
| 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,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_83,negated_conjecture,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_84,negated_conjecture,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_85,negated_conjecture,
( ( multiply(sk_c4,sk_c5) = 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,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_88,negated_conjecture,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_89,negated_conjecture,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f22]) ).
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 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c3) = sk_c6 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c6 ) ),
inference(cnf_transformation,[],[f32]) ).
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,
( ( multiply(sk_c2,sk_c6) = sk_c5 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_98,negated_conjecture,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c2,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_99,negated_conjecture,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c2,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_100,negated_conjecture,
( ( multiply(sk_c2,sk_c6) = sk_c5 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
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 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_103,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c3) = sk_c6 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_104,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c4) = sk_c6 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_105,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c4,sk_c5) = 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_c6 )
| ( 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_c5) != sk_c6 )
| ( 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_c6 )
| ( multiply(X0,sk_c5) != sk_c6 ) ),
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 = multiply(sk_c4,sk_c5),
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 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_369,definition,
iPr_def_19 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_370,definition,
iPr_def_20 = multiply(sk_c3,sk_c6),
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_c6 )
| ( multiply(X0,sk_c5) != sk_c6 ) ),
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_c6 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_104,c_368]) ).
tcf(c_381,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( 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_c6 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_386,negated_conjecture,
( ( iPr_def_21 = sk_c5 )
| ( iPr_def_19 = sk_c6 ) ),
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_390,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_391,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_19 = sk_c6 ) ),
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_395,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_396,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_19 = sk_c6 ) ),
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_c6 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_84]) ).
tcf(c_401,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( 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_612,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c6 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_381,c_380]) ).
tcf(c_759,plain,
( ( sk_c6 = iPr_def_19 )
| ( multiply(iPr_def_22,sk_c6) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_391,c_364]) ).
tcf(c_874,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_875,plain,
( ( sk_c6 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_391,c_373]) ).
tcf(c_876,plain,
( ( sk_c6 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_390,c_373]) ).
tcf(c_904,plain,
multiply(iPr_def_19,sk_c3) = identity,
inference(superposition,[status(thm)],[c_369,c_79]) ).
tcf(c_905,plain,
multiply(iPr_def_18,sk_c4) = identity,
inference(superposition,[status(thm)],[c_368,c_79]) ).
tcf(c_906,plain,
multiply(iPr_def_22,sk_c1) = identity,
inference(superposition,[status(thm)],[c_372,c_79]) ).
tcf(c_907,plain,
multiply(iPr_def_17,sk_c2) = identity,
inference(superposition,[status(thm)],[c_367,c_79]) ).
tcf(c_1016,plain,
( ( sk_c6 = iPr_def_23 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_397,c_365]) ).
tcf(c_1168,plain,
( ( iPr_def_14 = iPr_def_21 )
| ( sk_c6 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_400,c_385]) ).
tcf(c_1218,plain,
( ( iPr_def_14 = iPr_def_21 )
| ( sk_c6 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_401,c_386]) ).
tcf(c_1253,plain,
( ( iPr_def_14 = iPr_def_21 )
| ( sk_c7 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_402,c_387]) ).
tcf(c_1566,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_1567,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_1568,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_370,c_80]) ).
tcf(c_1573,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_79,c_80]) ).
tcf(c_1575,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_904,c_80]) ).
tcf(c_1576,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_905,c_80]) ).
tcf(c_1577,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_906,c_80]) ).
tcf(c_1578,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_907,c_80]) ).
tcf(c_1580,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1578,c_78]) ).
tcf(c_1581,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1577,c_78]) ).
tcf(c_1582,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1576,c_78]) ).
tcf(c_1583,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1575,c_78]) ).
tcf(c_1659,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( iPr_def_17 = iPr_def_23 )
| ( sk_c6 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_612,c_396]) ).
tcf(c_1660,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( iPr_def_17 = iPr_def_23 )
| ( sk_c6 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_612,c_395]) ).
tcf(c_1661,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_612,c_371]) ).
tcf(c_1927,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1218,c_1168]) ).
tcf(c_1937,plain,
( ( iPr_def_14 = iPr_def_21 )
| ( multiply(iPr_def_19,sk_c7) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1218,c_365]) ).
tcf(c_2008,plain,
multiply(iPr_def_17,iPr_def_21) = sk_c6,
inference(superposition,[status(thm)],[c_371,c_1580]) ).
tcf(c_2022,plain,
( ~ iPr_def_13
| ( sk_c6 != identity )
| ( inverse(inverse(sk_c7)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_79,c_375]) ).
tcf(c_2130,plain,
( ~ iPr_def_12
| ( sk_c5 != iPr_def_20 )
| ( inverse(sk_c3) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_370,c_376]) ).
tcf(c_2131,plain,
( ~ iPr_def_12
| ( sk_c5 != iPr_def_21 )
| ( inverse(sk_c2) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_371,c_376]) ).
tcf(c_2154,plain,
( ~ iPr_def_12
| ( sk_c5 != iPr_def_20 )
| ( sk_c6 != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_2130,c_369]) ).
tcf(c_2283,plain,
( ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(sk_c6)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_79,c_377]) ).
tcf(c_2872,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_21,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2008,c_80]) ).
tcf(c_2874,plain,
multiply(iPr_def_22,iPr_def_23) = sk_c7,
inference(superposition,[status(thm)],[c_373,c_1581]) ).
tcf(c_2888,plain,
multiply(iPr_def_18,iPr_def_16) = sk_c5,
inference(superposition,[status(thm)],[c_366,c_1582]) ).
tcf(c_2901,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2888,c_80]) ).
tcf(c_2903,plain,
multiply(iPr_def_19,iPr_def_20) = sk_c6,
inference(superposition,[status(thm)],[c_370,c_1583]) ).
tcf(c_2906,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(iPr_def_20,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2903,c_80]) ).
tcf(c_3759,plain,
( ( sk_c6 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_396,c_759]) ).
tcf(c_3768,plain,
( ( sk_c6 = iPr_def_19 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_3759,c_2874]) ).
tcf(c_4002,plain,
( ( sk_c6 = iPr_def_19 )
| ( multiply(sk_c6,iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3768,c_365]) ).
tcf(c_6098,plain,
multiply(sk_c6,iPr_def_14) = multiply(iPr_def_15,sk_c6),
inference(superposition,[status(thm)],[c_364,c_1567]) ).
tcf(c_6425,plain,
multiply(sk_c3,multiply(iPr_def_15,sk_c6)) = multiply(iPr_def_20,iPr_def_14),
inference(superposition,[status(thm)],[c_6098,c_1568]) ).
tcf(c_7642,plain,
( ( iPr_def_14 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1253,c_1937]) ).
tcf(c_7651,plain,
( ( iPr_def_14 = iPr_def_21 )
| ( sk_c6 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_7642,c_2903]) ).
tcf(c_8579,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( iPr_def_17 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1660,c_1659]) ).
tcf(c_10095,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1573,c_78]) ).
tcf(c_10101,plain,
multiply(inverse(sk_c6),iPr_def_15) = sk_c7,
inference(superposition,[status(thm)],[c_365,c_10095]) ).
tcf(c_10106,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_78,c_10095]) ).
tcf(c_10107,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_79,c_10095]) ).
tcf(c_10194,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1583,c_10095]) ).
tcf(c_10195,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_1582,c_10095]) ).
tcf(c_10196,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1581,c_10095]) ).
tcf(c_10197,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_1580,c_10095]) ).
tcf(c_10208,plain,
multiply(inverse(sk_c6),multiply(iPr_def_15,sk_c6)) = iPr_def_14,
inference(superposition,[status(thm)],[c_6098,c_10095]) ).
tcf(c_10237,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_10095,c_10095]) ).
tcf(c_11016,plain,
( ~ iPr_def_10
| ( sk_c6 != sk_c5 )
| ( inverse(inverse(identity)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_10106,c_378]) ).
tcf(c_11033,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_10107,c_10237]) ).
tcf(c_11043,plain,
multiply(sk_c7,sk_c6) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_11033,c_1566]) ).
tcf(c_11045,plain,
multiply(sk_c6,sk_c7) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_11033,c_1567]) ).
tcf(c_11046,plain,
multiply(sk_c6,identity) = multiply(iPr_def_19,iPr_def_20),
inference(superposition,[status(thm)],[c_11033,c_2906]) ).
tcf(c_11047,plain,
multiply(sk_c5,identity) = multiply(iPr_def_18,iPr_def_16),
inference(superposition,[status(thm)],[c_11033,c_2901]) ).
tcf(c_11050,plain,
multiply(sk_c6,identity) = multiply(iPr_def_17,iPr_def_21),
inference(superposition,[status(thm)],[c_11033,c_2872]) ).
tcf(c_11055,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_11033,c_10106]) ).
tcf(c_11056,plain,
multiply(sk_c6,identity) = sk_c6,
inference(light_normalisation,[status(thm)],[c_11050,c_2008]) ).
tcf(c_11059,plain,
multiply(sk_c5,identity) = sk_c5,
inference(light_normalisation,[status(thm)],[c_11047,c_2888]) ).
tcf(c_11061,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_11045,c_365]) ).
tcf(c_11063,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_11043,c_364]) ).
tcf(c_11894,plain,
( ( sk_c6 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c6) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_4002,c_6098]) ).
tcf(c_12328,plain,
multiply(sk_c3,iPr_def_19) = identity,
inference(superposition,[status(thm)],[c_10194,c_79]) ).
tcf(c_12331,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_19)) != sk_c6 )
| ( multiply(sk_c3,sk_c5) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_10194,c_378]) ).
tcf(c_12332,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_19)) != sk_c6 )
| ( multiply(sk_c3,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_10194,c_377]) ).
tcf(c_12334,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_10194,c_10095]) ).
tcf(c_12335,plain,
multiply(sk_c3,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_10194,c_11033]) ).
tcf(c_12340,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_20 )
| ( inverse(inverse(iPr_def_19)) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_12332,c_370]) ).
tcf(c_12383,plain,
inverse(iPr_def_19) = sk_c3,
inference(demodulation,[status(thm)],[c_12335,c_11033]) ).
tcf(c_12389,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm)],[c_904,c_12334]) ).
tcf(c_12390,plain,
multiply(sk_c3,sk_c6) = iPr_def_20,
inference(superposition,[status(thm)],[c_2903,c_12334]) ).
tcf(c_13144,plain,
multiply(sk_c4,iPr_def_18) = identity,
inference(superposition,[status(thm)],[c_10195,c_79]) ).
tcf(c_13147,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_18)) != sk_c6 )
| ( multiply(sk_c4,sk_c5) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_10195,c_378]) ).
tcf(c_13149,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_18)) != sk_c6 )
| ( multiply(sk_c4,sk_c6) != sk_c5 ) ),
inference(superposition,[status(thm)],[c_10195,c_376]) ).
tcf(c_13150,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_18,X0)) = X0,
inference(superposition,[status(thm)],[c_10195,c_10095]) ).
tcf(c_13151,plain,
multiply(sk_c4,identity) = inverse(iPr_def_18),
inference(superposition,[status(thm)],[c_10195,c_11033]) ).
tcf(c_13200,plain,
inverse(iPr_def_18) = sk_c4,
inference(demodulation,[status(thm)],[c_13151,c_11033]) ).
tcf(c_13803,plain,
multiply(sk_c4,sk_c5) = iPr_def_16,
inference(superposition,[status(thm)],[c_2888,c_13150]) ).
tcf(c_14792,plain,
multiply(sk_c1,iPr_def_22) = identity,
inference(superposition,[status(thm)],[c_10196,c_79]) ).
tcf(c_14798,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_22,X0)) = X0,
inference(superposition,[status(thm)],[c_10196,c_10095]) ).
tcf(c_14820,plain,
( ( identity = iPr_def_23 )
| ( sk_c6 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_876,c_14792]) ).
tcf(c_14821,plain,
( ( identity = iPr_def_23 )
| ( sk_c6 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_875,c_14792]) ).
tcf(c_14822,plain,
( ( identity = iPr_def_23 )
| ( sk_c7 = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_874,c_14792]) ).
tcf(c_14932,plain,
multiply(sk_c1,sk_c7) = iPr_def_23,
inference(superposition,[status(thm)],[c_2874,c_14798]) ).
tcf(c_16335,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_14821,c_14820]) ).
tcf(c_16553,plain,
( ( identity = iPr_def_23 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_14822,c_365]) ).
tcf(c_18026,plain,
multiply(sk_c2,iPr_def_17) = identity,
inference(superposition,[status(thm)],[c_10197,c_79]) ).
tcf(c_18032,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_17,X0)) = X0,
inference(superposition,[status(thm)],[c_10197,c_10095]) ).
tcf(c_18033,plain,
multiply(sk_c2,identity) = inverse(iPr_def_17),
inference(superposition,[status(thm)],[c_10197,c_11033]) ).
tcf(c_18049,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( identity = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_1661,c_18026]) ).
tcf(c_18106,plain,
inverse(iPr_def_17) = sk_c2,
inference(demodulation,[status(thm)],[c_18033,c_11033]) ).
tcf(c_18114,plain,
multiply(sk_c2,sk_c6) = iPr_def_21,
inference(superposition,[status(thm)],[c_2008,c_18032]) ).
tcf(c_19396,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_18049,c_16335]) ).
tcf(c_19950,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( iPr_def_17 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_19396,c_8579]) ).
tcf(c_20238,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_19950,c_1927]) ).
tcf(c_21354,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_20238,c_18114,c_18106,c_18026,c_16553,c_14932,c_14792,c_13803,c_13200,c_13149,c_13147,c_13144,c_12390,c_12389,c_12383,c_12340,c_12331,c_12328,c_11894,c_11063,c_11061,c_11059,c_11056,c_11047,c_11046,c_11045,c_11043,c_11055,c_11016,c_10208,c_10101,c_7651,c_6425,c_6098,c_2283,c_2154,c_2131,c_2022,c_1016,c_403,c_402,c_401,c_399,c_398,c_393,c_388,c_385,c_384,c_383,c_382,c_381,c_380,c_379,c_374,c_369,c_368,c_367]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP287-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 14:23:33 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.42 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 1.01/1.72 % SZS status Started for theBenchmark.p
% 1.01/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.01/1.72
% 1.01/1.72 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.01/1.72
% 1.01/1.72 % ------ iProver source info
% 1.01/1.72
% 1.01/1.72 % git: date: 2026-07-19 20:42:38 +0200
% 1.01/1.72 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.01/1.72 % git: non_committed_changes: false
% 1.01/1.72
% 1.01/1.72 % ------ Parsing...% successful
% 1.01/1.72
% 1.01/1.72
% 1.01/1.72 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.01/1.72
% 1.01/1.72 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.01/1.72
% 1.01/1.72 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.01/1.72
% 1.01/1.72 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.01/1.72 % ------ Proving...
% 1.01/1.72 % ------ Problem Properties
% 1.01/1.72
% 1.01/1.72 %
% 1.01/1.72 % clauses 43
% 1.01/1.72 % conjectures 30
% 1.01/1.72 % EPR 26
% 1.01/1.72 % Horn 17
% 1.01/1.72 % unary 13
% 1.01/1.72 % binary 25
% 1.01/1.72 % lits 81
% 1.01/1.72 % lits eq 73
% 1.01/1.72 % fd_pure 0
% 1.01/1.72 % fd_pseudo 0
% 1.01/1.72 % fd_cond 0
% 1.01/1.72 % fd_pseudo_cond 0
% 1.01/1.72 % AC symbols 0
% 1.01/1.72
% 1.01/1.72 % ------ Schedule dynamic 5 is on
% 1.01/1.72
% 1.01/1.72 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.01/1.72
% 1.01/1.72
% 1.01/1.72 % ------
% 1.01/1.72 % Current options:
% 1.01/1.72 % ------
% 1.01/1.72
% 1.01/1.72
% 1.01/1.72 %
% 1.01/1.72
% 1.01/1.72 % ------ Proving...
% 1.01/1.72 %
% 1.01/1.72
% 1.01/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.01/1.72
% 1.01/1.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.01/1.72
% 1.01/1.72
%------------------------------------------------------------------------------