%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP341-1 : 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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:33:17 PM UTC 2026
% Result : Unsatisfiable 14.57s 2.83s
% Output : CNFRefutation 14.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 39
% Syntax : Number of formulae : 227 ( 106 unt; 12 def)
% Number of atoms : 611 ( 381 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 303 ( 116 ~; 187 |; 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 : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 65 !; 0 ?; 51 :)
% 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_c3,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c7 = inverse(sk_c3)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c6 = inverse(sk_c5)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( inverse(sk_c4) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c6 = inverse(sk_c4)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(reorient_equations,[],[f13]) ).
fof(f17,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(reorient_equations,[],[f17]) ).
fof(f23,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c6 = inverse(sk_c5)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f23]) ).
fof(f31,negated_conjecture,
( multiply(sk_c5,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_c5,sk_c6)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f31]) ).
fof(f37,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c6 = inverse(sk_c5)
| sk_c7 = multiply(sk_c1,sk_c6) ),
inference(reorient_equations,[],[f37]) ).
fof(f45,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c7 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c6 = inverse(sk_c5)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c6 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f55]) ).
fof(f59,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c6
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c6 = multiply(sk_c2,sk_c5) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c2,sk_c5) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c6 = inverse(sk_c5)
| sk_c6 = multiply(sk_c2,sk_c5) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c4) = sk_c6
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c2,sk_c5) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( multiply(sk_c5,sk_c7) = sk_c6
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c6 = multiply(sk_c2,sk_c5) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(sk_c5,sk_c6) != sk_c7
| multiply(sk_c5,sk_c7) != sk_c6
| inverse(X3) != sk_c6
| multiply(X3,sk_c6) != sk_c5
| inverse(sk_c5) != sk_c6
| inverse(X2) != sk_c7
| multiply(X2,sk_c7) != sk_c6
| multiply(X1,sk_c5) != sk_c6
| inverse(X1) != sk_c6
| multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
! [X2,X3,X0,X1] :
( sk_c7 != multiply(sk_c5,sk_c6)
| sk_c6 != multiply(sk_c5,sk_c7)
| sk_c6 != inverse(X3)
| sk_c5 != multiply(X3,sk_c6)
| sk_c6 != inverse(sk_c5)
| sk_c7 != inverse(X2)
| sk_c6 != multiply(X2,sk_c7)
| sk_c6 != multiply(X1,sk_c5)
| sk_c6 != inverse(X1)
| sk_c7 != multiply(X0,sk_c6)
| inverse(X0) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5 ),
inference(reorient_equations,[],[f75]) ).
tcf(c_88,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_89,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_91,negated_conjecture,
( ( multiply(sk_c3,sk_c7) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_94,negated_conjecture,
( ( multiply(sk_c4,sk_c6) = sk_c5 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_97,negated_conjecture,
( ( multiply(sk_c5,sk_c6) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_100,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_104,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_111,negated_conjecture,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_112,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c3,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_113,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_114,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_115,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c4,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_116,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c4) = sk_c6 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_118,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_119,negated_conjecture,
( ( multiply(sk_c2,sk_c5) = sk_c6 )
| ( multiply(sk_c3,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_120,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c2,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_121,negated_conjecture,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c2,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_122,negated_conjecture,
( ( multiply(sk_c2,sk_c5) = sk_c6 )
| ( multiply(sk_c4,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_123,negated_conjecture,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c2,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_124,negated_conjecture,
( ( multiply(sk_c2,sk_c5) = sk_c6 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_125,negated_conjecture,
( ( multiply(sk_c2,sk_c5) = sk_c6 )
| ( multiply(sk_c5,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_126,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(sk_c5) != sk_c6 )
| ( inverse(X3) != sk_c6 )
| ( inverse(X2) != sk_c7 )
| ( inverse(X1) != sk_c6 )
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c5,sk_c7) != sk_c6 )
| ( multiply(sk_c5,sk_c6) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( multiply(X3,sk_c6) != sk_c5 )
| ( multiply(X2,sk_c7) != sk_c6 )
| ( multiply(X1,sk_c5) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_467,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_126]) ).
tcf(c_468,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c5) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_126]) ).
tcf(c_469,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_126]) ).
tcf(c_470,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_126]) ).
tcf(c_471,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c5) != sk_c6 )
| ( multiply(sk_c5,sk_c7) != sk_c6 )
| ( multiply(sk_c5,sk_c6) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_126]) ).
tcf(c_472,definition,
iPr_def_14 = multiply(sk_c6,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_473,definition,
iPr_def_15 = multiply(sk_c5,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_474,definition,
iPr_def_16 = multiply(sk_c5,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_475,definition,
iPr_def_17 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_476,definition,
iPr_def_18 = multiply(sk_c2,sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_477,definition,
iPr_def_19 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_478,definition,
iPr_def_20 = multiply(sk_c4,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_479,definition,
iPr_def_21 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_480,definition,
iPr_def_22 = multiply(sk_c3,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_481,definition,
iPr_def_23 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_482,definition,
iPr_def_24 = multiply(sk_c1,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_483,definition,
iPr_def_25 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_484,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_17 != sk_c6 )
| ( iPr_def_16 != sk_c6 )
| ( iPr_def_15 != sk_c7 )
| ( iPr_def_14 != sk_c5 ) ),
inference(demodulation,[status(thm)],[c_471,c_475,c_474,c_473,c_472]) ).
tcf(c_485,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_470]) ).
tcf(c_486,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm)],[c_469]) ).
tcf(c_487,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c5) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_468]) ).
tcf(c_488,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_467]) ).
tcf(c_489,negated_conjecture,
( ( iPr_def_18 = sk_c6 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_125,c_476]) ).
tcf(c_490,negated_conjecture,
( ( iPr_def_18 = sk_c6 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_124]) ).
tcf(c_491,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_123,c_477]) ).
tcf(c_492,negated_conjecture,
( ( iPr_def_20 = sk_c5 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_122,c_478]) ).
tcf(c_493,negated_conjecture,
( ( iPr_def_18 = sk_c6 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_121]) ).
tcf(c_494,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_120,c_479]) ).
tcf(c_495,negated_conjecture,
( ( iPr_def_22 = sk_c6 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_119,c_480]) ).
tcf(c_496,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_118,c_481]) ).
tcf(c_498,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_19 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_116]) ).
tcf(c_499,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_20 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_115]) ).
tcf(c_500,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_114]) ).
tcf(c_501,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_21 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_113]) ).
tcf(c_502,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_22 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_112]) ).
tcf(c_503,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_111,c_482]) ).
tcf(c_507,negated_conjecture,
( ( iPr_def_24 = sk_c7 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_510,negated_conjecture,
( ( iPr_def_25 = sk_c7 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_104,c_483]) ).
tcf(c_514,negated_conjecture,
( ( iPr_def_25 = sk_c7 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_517,negated_conjecture,
( ( iPr_def_15 = sk_c7 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_519,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_520,negated_conjecture,
( ( iPr_def_20 = sk_c5 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_521,negated_conjecture,
( ( iPr_def_17 = sk_c6 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_522,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_523,negated_conjecture,
( ( iPr_def_22 = sk_c6 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_1220,plain,
multiply(iPr_def_21,sk_c3) = identity,
inference(superposition,[status(thm)],[c_479,c_89]) ).
tcf(c_1221,plain,
multiply(iPr_def_17,sk_c5) = identity,
inference(superposition,[status(thm)],[c_475,c_89]) ).
tcf(c_1222,plain,
multiply(iPr_def_19,sk_c4) = identity,
inference(superposition,[status(thm)],[c_477,c_89]) ).
tcf(c_1223,plain,
multiply(iPr_def_25,sk_c1) = identity,
inference(superposition,[status(thm)],[c_483,c_89]) ).
tcf(c_1224,plain,
multiply(iPr_def_23,sk_c2) = identity,
inference(superposition,[status(thm)],[c_481,c_89]) ).
tcf(c_2566,plain,
( ~ iPr_def_12
| ( sk_c5 != iPr_def_15 )
| ( inverse(sk_c5) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_473,c_486]) ).
tcf(c_2585,plain,
( ~ iPr_def_12
| ( sk_c5 != iPr_def_15 )
| ( sk_c6 != iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_2566,c_475]) ).
tcf(c_2691,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_18 )
| ( inverse(sk_c2) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_476,c_487]) ).
tcf(c_2712,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_23 )
| ( sk_c6 != iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_2691,c_481]) ).
tcf(c_2820,plain,
( ~ iPr_def_10
| ( sk_c6 != iPr_def_14 )
| ( inverse(sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_472,c_488]) ).
tcf(c_2821,plain,
( ~ iPr_def_10
| ( sk_c6 != iPr_def_22 )
| ( inverse(sk_c3) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_480,c_488]) ).
tcf(c_2848,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_21 )
| ( sk_c6 != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_2821,c_479]) ).
tcf(c_3156,plain,
! [X0: $i] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_472,c_90]) ).
tcf(c_3158,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c6,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_478,c_90]) ).
tcf(c_3162,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c5,X0)) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_476,c_90]) ).
tcf(c_3164,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_89,c_90]) ).
tcf(c_3166,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1220,c_90]) ).
tcf(c_3167,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1221,c_90]) ).
tcf(c_3168,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1222,c_90]) ).
tcf(c_3169,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1223,c_90]) ).
tcf(c_3170,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1224,c_90]) ).
tcf(c_3176,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3170,c_88]) ).
tcf(c_3177,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3169,c_88]) ).
tcf(c_3178,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3168,c_88]) ).
tcf(c_3179,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3167,c_88]) ).
tcf(c_3180,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3166,c_88]) ).
tcf(c_4673,plain,
multiply(iPr_def_23,iPr_def_18) = sk_c5,
inference(superposition,[status(thm)],[c_476,c_3176]) ).
tcf(c_4676,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(iPr_def_18,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_4673,c_90]) ).
tcf(c_4707,plain,
multiply(iPr_def_25,iPr_def_24) = sk_c6,
inference(superposition,[status(thm)],[c_482,c_3177]) ).
tcf(c_4710,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(iPr_def_24,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_4707,c_90]) ).
tcf(c_4712,plain,
multiply(iPr_def_19,iPr_def_20) = sk_c6,
inference(superposition,[status(thm)],[c_478,c_3178]) ).
tcf(c_4717,plain,
multiply(iPr_def_17,iPr_def_16) = sk_c7,
inference(superposition,[status(thm)],[c_474,c_3179]) ).
tcf(c_4718,plain,
multiply(iPr_def_17,iPr_def_15) = sk_c6,
inference(superposition,[status(thm)],[c_473,c_3179]) ).
tcf(c_5029,plain,
multiply(iPr_def_21,iPr_def_22) = sk_c7,
inference(superposition,[status(thm)],[c_480,c_3180]) ).
tcf(c_12396,plain,
multiply(sk_c4,iPr_def_14) = multiply(iPr_def_20,sk_c7),
inference(superposition,[status(thm)],[c_472,c_3158]) ).
tcf(c_13246,plain,
multiply(sk_c2,iPr_def_16) = multiply(iPr_def_18,sk_c7),
inference(superposition,[status(thm)],[c_474,c_3162]) ).
tcf(c_13247,plain,
multiply(sk_c2,iPr_def_15) = multiply(iPr_def_18,sk_c6),
inference(superposition,[status(thm)],[c_473,c_3162]) ).
tcf(c_16275,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3164,c_88]) ).
tcf(c_16299,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_88,c_16275]) ).
tcf(c_16300,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_89,c_16275]) ).
tcf(c_16467,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_3180,c_16275]) ).
tcf(c_16468,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_3179,c_16275]) ).
tcf(c_16469,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_3178,c_16275]) ).
tcf(c_16470,plain,
! [X0: $i] : multiply(inverse(iPr_def_25),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_3177,c_16275]) ).
tcf(c_16471,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_3176,c_16275]) ).
tcf(c_16553,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_16275,c_16275]) ).
tcf(c_17451,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_16300,c_16553]) ).
tcf(c_17461,plain,
multiply(sk_c6,sk_c7) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_17451,c_3156]) ).
tcf(c_17466,plain,
multiply(sk_c4,sk_c6) = multiply(iPr_def_20,identity),
inference(superposition,[status(thm)],[c_17451,c_3158]) ).
tcf(c_17469,plain,
multiply(sk_c6,identity) = multiply(iPr_def_25,iPr_def_24),
inference(superposition,[status(thm)],[c_17451,c_4710]) ).
tcf(c_17470,plain,
multiply(sk_c5,identity) = multiply(iPr_def_23,iPr_def_18),
inference(superposition,[status(thm)],[c_17451,c_4676]) ).
tcf(c_17477,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_17451,c_16299]) ).
tcf(c_17480,plain,
multiply(sk_c6,identity) = sk_c6,
inference(light_normalisation,[status(thm)],[c_17469,c_4707]) ).
tcf(c_17483,plain,
multiply(iPr_def_20,identity) = iPr_def_20,
inference(light_normalisation,[status(thm)],[c_17466,c_478]) ).
tcf(c_17488,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_17461,c_472]) ).
tcf(c_17664,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_21)) != sk_c7 )
| ( multiply(sk_c3,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_16467,c_485]) ).
tcf(c_17665,plain,
multiply(sk_c3,iPr_def_21) = identity,
inference(superposition,[status(thm)],[c_16467,c_89]) ).
tcf(c_17668,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_21)) != sk_c7 )
| ( multiply(sk_c3,sk_c7) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_16467,c_488]) ).
tcf(c_17670,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_21,X0)) = X0,
inference(superposition,[status(thm)],[c_16467,c_16275]) ).
tcf(c_17671,plain,
multiply(sk_c3,identity) = inverse(iPr_def_21),
inference(superposition,[status(thm)],[c_16467,c_17451]) ).
tcf(c_17675,plain,
( ~ iPr_def_10
| ( sk_c6 != iPr_def_22 )
| ( inverse(inverse(iPr_def_21)) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_17668,c_480]) ).
tcf(c_18409,plain,
inverse(iPr_def_21) = sk_c3,
inference(demodulation,[status(thm)],[c_17671,c_17451]) ).
tcf(c_18413,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm)],[c_1220,c_17670]) ).
tcf(c_18414,plain,
multiply(sk_c3,sk_c7) = iPr_def_22,
inference(superposition,[status(thm)],[c_5029,c_17670]) ).
tcf(c_21286,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_17)) != sk_c6 )
| ( multiply(sk_c5,sk_c6) != sk_c5 ) ),
inference(superposition,[status(thm)],[c_16468,c_486]) ).
tcf(c_21288,plain,
multiply(sk_c5,iPr_def_17) = identity,
inference(superposition,[status(thm)],[c_16468,c_89]) ).
tcf(c_21292,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_17)) != sk_c6 )
| ( multiply(sk_c5,sk_c5) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_16468,c_487]) ).
tcf(c_21293,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_17,X0)) = X0,
inference(superposition,[status(thm)],[c_16468,c_16275]) ).
tcf(c_21294,plain,
multiply(sk_c5,identity) = inverse(iPr_def_17),
inference(superposition,[status(thm)],[c_16468,c_17451]) ).
tcf(c_21372,plain,
multiply(sk_c2,identity) = multiply(iPr_def_18,iPr_def_17),
inference(superposition,[status(thm)],[c_21288,c_3162]) ).
tcf(c_21495,plain,
inverse(iPr_def_17) = sk_c5,
inference(demodulation,[status(thm)],[c_21294,c_17451]) ).
tcf(c_21535,plain,
multiply(sk_c5,sk_c7) = iPr_def_16,
inference(superposition,[status(thm)],[c_4717,c_21293]) ).
tcf(c_21536,plain,
multiply(sk_c5,sk_c6) = iPr_def_15,
inference(superposition,[status(thm)],[c_4718,c_21293]) ).
tcf(c_22053,plain,
multiply(iPr_def_18,iPr_def_17) = sk_c2,
inference(demodulation,[status(thm)],[c_21372,c_17451]) ).
tcf(c_22054,plain,
multiply(inverse(iPr_def_18),sk_c2) = iPr_def_17,
inference(superposition,[status(thm)],[c_22053,c_16275]) ).
tcf(c_22059,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),multiply(sk_c2,X0)) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_22054,c_90]) ).
tcf(c_23862,plain,
multiply(inverse(iPr_def_18),multiply(iPr_def_18,sk_c7)) = multiply(iPr_def_17,iPr_def_16),
inference(superposition,[status(thm)],[c_13246,c_22059]) ).
tcf(c_23863,plain,
multiply(inverse(iPr_def_18),multiply(iPr_def_18,sk_c6)) = multiply(iPr_def_17,iPr_def_15),
inference(superposition,[status(thm)],[c_13247,c_22059]) ).
tcf(c_23864,plain,
multiply(inverse(iPr_def_18),sk_c2) = multiply(iPr_def_17,identity),
inference(superposition,[status(thm)],[c_17451,c_22059]) ).
tcf(c_23869,plain,
multiply(inverse(iPr_def_18),multiply(iPr_def_18,sk_c6)) = sk_c6,
inference(light_normalisation,[status(thm)],[c_23863,c_4718]) ).
tcf(c_23870,plain,
multiply(inverse(iPr_def_18),multiply(iPr_def_18,sk_c7)) = sk_c7,
inference(light_normalisation,[status(thm)],[c_23862,c_4717]) ).
tcf(c_24428,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_19)) != sk_c6 )
| ( multiply(sk_c4,sk_c6) != sk_c5 ) ),
inference(superposition,[status(thm)],[c_16469,c_486]) ).
tcf(c_24430,plain,
multiply(sk_c4,iPr_def_19) = identity,
inference(superposition,[status(thm)],[c_16469,c_89]) ).
tcf(c_24434,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_19)) != sk_c6 )
| ( multiply(sk_c4,sk_c5) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_16469,c_487]) ).
tcf(c_24435,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_16469,c_16275]) ).
tcf(c_24436,plain,
multiply(sk_c4,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_16469,c_17451]) ).
tcf(c_24447,plain,
( ~ iPr_def_12
| ( sk_c5 != iPr_def_20 )
| ( inverse(inverse(iPr_def_19)) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_24428,c_478]) ).
tcf(c_25001,plain,
inverse(iPr_def_19) = sk_c4,
inference(demodulation,[status(thm)],[c_24436,c_17451]) ).
tcf(c_25008,plain,
multiply(sk_c4,sk_c6) = iPr_def_20,
inference(superposition,[status(thm)],[c_4712,c_24435]) ).
tcf(c_26250,plain,
multiply(sk_c1,iPr_def_25) = identity,
inference(superposition,[status(thm)],[c_16470,c_89]) ).
tcf(c_26255,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_25,X0)) = X0,
inference(superposition,[status(thm)],[c_16470,c_16275]) ).
tcf(c_27400,plain,
multiply(sk_c1,sk_c6) = iPr_def_24,
inference(superposition,[status(thm)],[c_4707,c_26255]) ).
tcf(c_27604,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_23)) != sk_c7 )
| ( multiply(sk_c2,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_16471,c_485]) ).
tcf(c_27605,plain,
multiply(sk_c2,iPr_def_23) = identity,
inference(superposition,[status(thm)],[c_16471,c_89]) ).
tcf(c_27611,plain,
multiply(sk_c2,identity) = inverse(iPr_def_23),
inference(superposition,[status(thm)],[c_16471,c_17451]) ).
tcf(c_27706,plain,
multiply(inverse(iPr_def_18),identity) = multiply(iPr_def_17,iPr_def_23),
inference(superposition,[status(thm)],[c_27605,c_22059]) ).
tcf(c_28365,plain,
inverse(iPr_def_23) = sk_c2,
inference(demodulation,[status(thm)],[c_27611,c_17451]) ).
tcf(c_35776,plain,
multiply(iPr_def_17,iPr_def_23) = inverse(iPr_def_18),
inference(demodulation,[status(thm)],[c_27706,c_17451]) ).
tcf(c_35793,plain,
multiply(sk_c5,inverse(iPr_def_18)) = iPr_def_23,
inference(superposition,[status(thm)],[c_35776,c_21293]) ).
tcf(c_36629,plain,
multiply(iPr_def_18,inverse(iPr_def_18)) = multiply(sk_c2,iPr_def_23),
inference(superposition,[status(thm)],[c_35793,c_3162]) ).
tcf(c_36632,plain,
multiply(iPr_def_18,inverse(iPr_def_18)) = identity,
inference(light_normalisation,[status(thm)],[c_36629,c_27605]) ).
tcf(c_36634,plain,
multiply(inverse(iPr_def_18),identity) = inverse(iPr_def_18),
inference(superposition,[status(thm)],[c_36632,c_16275]) ).
tcf(c_47147,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_36634,c_35793,c_35776,c_28365,c_27604,c_27400,c_26250,c_25008,c_25001,c_24447,c_24434,c_24430,c_23870,c_23869,c_23864,c_23863,c_23862,c_22054,c_21536,c_21535,c_21495,c_21292,c_21286,c_21294,c_21288,c_18414,c_18413,c_18409,c_17675,c_17664,c_17665,c_17488,c_17483,c_17480,c_17470,c_17461,c_17477,c_12396,c_2848,c_2820,c_2712,c_2585,c_523,c_522,c_521,c_520,c_519,c_517,c_514,c_510,c_507,c_503,c_502,c_501,c_500,c_499,c_498,c_496,c_495,c_494,c_493,c_492,c_491,c_490,c_489,c_484,c_481,c_479,c_477,c_475]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP341-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n001.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Wed Sep 23 14:36:53 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...
% 14.57/2.83 % SZS status Started for theBenchmark.p
% 14.57/2.83 % SZS status Unsatisfiable for theBenchmark.p
% 14.57/2.83
% 14.57/2.83 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 14.57/2.83
% 14.57/2.83 % ------ iProver source info
% 14.57/2.83
% 14.57/2.83 % git: date: 2026-07-19 20:42:38 +0200
% 14.57/2.83 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 14.57/2.83 % git: non_committed_changes: false
% 14.57/2.83
% 14.57/2.83 % ------ Parsing...% successful
% 14.57/2.83
% 14.57/2.83
% 14.57/2.83 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 14.57/2.83
% 14.57/2.83 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 14.57/2.83
% 14.57/2.83 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 14.57/2.83
% 14.57/2.83 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 14.57/2.83 % ------ Proving...
% 14.57/2.83 % ------ Problem Properties
% 14.57/2.83
% 14.57/2.83 %
% 14.57/2.83 % clauses 55
% 14.57/2.83 % conjectures 40
% 14.57/2.83 % EPR 36
% 14.57/2.83 % Horn 19
% 14.57/2.83 % unary 15
% 14.57/2.83 % binary 35
% 14.57/2.83 % lits 105
% 14.57/2.83 % lits eq 97
% 14.57/2.83 % fd_pure 0
% 14.57/2.83 % fd_pseudo 0
% 14.57/2.83 % fd_cond 0
% 14.57/2.83 % fd_pseudo_cond 0
% 14.57/2.83 % AC symbols 0
% 14.57/2.83
% 14.57/2.83 % ------ Schedule dynamic 5 is on
% 14.57/2.83
% 14.57/2.83 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 14.57/2.83
% 14.57/2.83
% 14.57/2.83 % ------
% 14.57/2.83 % Current options:
% 14.57/2.83 % ------
% 14.57/2.83
% 14.57/2.83
% 14.57/2.83 %
% 14.57/2.83
% 14.57/2.83 % ------ Proving...
% 14.57/2.83 %
% 14.57/2.83
% 14.57/2.83 % SZS status Unsatisfiable for theBenchmark.p
% 14.57/2.83
% 14.57/2.83 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.57/2.84
% 14.57/2.84
%------------------------------------------------------------------------------