%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP283-1 : 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 : n018.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 01:32:43 PM UTC 2026
% Result : Unsatisfiable 21.51s 4.25s
% Output : CNFRefutation 21.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 39
% Syntax : Number of formulae : 245 ( 89 unt; 12 def)
% Number of atoms : 745 ( 442 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 338 ( 112 ~; 226 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 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 : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 70 ( 0 sgn 70 !; 0 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c6 = inverse(sk_c7)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c7 = inverse(sk_c4)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c8,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c6 = inverse(sk_c7)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f19]) ).
fof(f25,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c6 = inverse(sk_c7)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f31]) ).
fof(f37,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c6 = inverse(sk_c7)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f43]) ).
fof(f55,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c6 = inverse(sk_c7)
| sk_c3 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f55]) ).
fof(f65,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c6 = inverse(sk_c7)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c7 = inverse(sk_c4)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( inverse(X4) != sk_c8
| multiply(X4,sk_c8) != sk_c6
| inverse(X3) != sk_c7
| multiply(X3,sk_c7) != sk_c8
| inverse(sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c8
| inverse(X2) != sk_c8
| multiply(X2,sk_c8) != X1
| multiply(sk_c8,X1) != sk_c7
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
! [X2,X3,X0,X1,X4] :
( sk_c8 != inverse(X4)
| sk_c6 != multiply(X4,sk_c8)
| sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c6 != inverse(sk_c7)
| sk_c8 != multiply(sk_c7,sk_c6)
| sk_c8 != inverse(X2)
| multiply(X2,sk_c8) != X1
| sk_c7 != multiply(sk_c8,X1)
| inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6 ),
inference(reorient_equations,[],[f77]) ).
fof(f79,plain,
! [X2,X3,X0,X4] :
( sk_c8 != inverse(X4)
| sk_c6 != multiply(X4,sk_c8)
| sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c6 != inverse(sk_c7)
| sk_c8 != multiply(sk_c7,sk_c6)
| sk_c8 != inverse(X2)
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6 ),
inference(equality_resolution,[],[f78]) ).
tcf(c_89,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_90,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_92,negated_conjecture,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_94,negated_conjecture,
( ( multiply(sk_c4,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_96,negated_conjecture,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_98,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_99,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_102,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_103,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_104,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_105,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_108,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_109,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_110,negated_conjecture,
( ( multiply(sk_c7,sk_c6) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_111,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_117,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_122,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_123,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_124,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_125,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c7 ) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_126,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_127,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_128,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(sk_c7) != sk_c6 )
| ( inverse(X3) != sk_c8 )
| ( inverse(X2) != sk_c8 )
| ( inverse(X1) != sk_c7 )
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c7,sk_c6) != sk_c8 )
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(X2,sk_c8) != sk_c6 )
| ( multiply(X1,sk_c7) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 )
| ( multiply(sk_c8,multiply(X3,sk_c8)) != sk_c7 ) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_473,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_128]) ).
tcf(c_474,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_128]) ).
tcf(c_475,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_128]) ).
tcf(c_476,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_128]) ).
tcf(c_477,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c8 )
| ( multiply(sk_c8,sk_c7) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_128]) ).
tcf(c_478,definition,
iPr_def_14 = multiply(sk_c8,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_479,definition,
iPr_def_15 = multiply(sk_c7,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_480,definition,
iPr_def_16 = inverse(sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_481,definition,
iPr_def_17 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_482,definition,
iPr_def_18 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_483,definition,
iPr_def_19 = multiply(sk_c5,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_484,definition,
iPr_def_20 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_485,definition,
iPr_def_21 = multiply(sk_c4,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_486,definition,
iPr_def_22 = multiply(sk_c2,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_487,definition,
iPr_def_23 = multiply(sk_c8,sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_488,definition,
iPr_def_24 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_489,definition,
iPr_def_25 = multiply(sk_c1,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_490,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_16 != sk_c6 )
| ( iPr_def_15 != sk_c8 )
| ( iPr_def_14 != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_477,c_480,c_479,c_478]) ).
tcf(c_491,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_476]) ).
tcf(c_492,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_475]) ).
tcf(c_493,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_474]) ).
tcf(c_494,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_473]) ).
tcf(c_495,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_127,c_482,c_481]) ).
tcf(c_496,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_126,c_483]) ).
tcf(c_497,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_125,c_484]) ).
tcf(c_498,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_124,c_485]) ).
tcf(c_499,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_123]) ).
tcf(c_500,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_122]) ).
tcf(c_505,negated_conjecture,
( ( iPr_def_22 = sk_c3 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_117]) ).
tcf(c_511,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_512,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_513,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_109,c_488]) ).
tcf(c_514,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_19 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_517,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_105]) ).
tcf(c_518,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_519,negated_conjecture,
( ( iPr_def_25 = sk_c7 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_103,c_489]) ).
tcf(c_520,negated_conjecture,
( ( iPr_def_25 = sk_c7 )
| ( iPr_def_19 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_523,negated_conjecture,
( ( iPr_def_25 = sk_c7 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_524,negated_conjecture,
( ( iPr_def_25 = sk_c7 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_525,negated_conjecture,
( ( iPr_def_17 = sk_c8 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_526,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_527,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_528,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_529,negated_conjecture,
( ( iPr_def_16 = sk_c6 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_530,negated_conjecture,
( ( iPr_def_15 = sk_c8 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_832,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(sk_c7,iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_499,c_479]) ).
tcf(c_956,plain,
( ( sk_c6 = iPr_def_16 )
| ( multiply(sk_c8,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_505,c_487]) ).
tcf(c_988,plain,
multiply(iPr_def_16,sk_c7) = identity,
inference(superposition,[status(thm)],[c_480,c_90]) ).
tcf(c_989,plain,
multiply(iPr_def_20,sk_c4) = identity,
inference(superposition,[status(thm)],[c_484,c_90]) ).
tcf(c_990,plain,
multiply(iPr_def_17,sk_c5) = identity,
inference(superposition,[status(thm)],[c_481,c_90]) ).
tcf(c_991,plain,
multiply(iPr_def_24,sk_c1) = identity,
inference(superposition,[status(thm)],[c_488,c_90]) ).
tcf(c_992,plain,
multiply(iPr_def_18,sk_c2) = identity,
inference(superposition,[status(thm)],[c_482,c_90]) ).
tcf(c_1030,plain,
( ( sk_c7 = iPr_def_23 )
| ( multiply(sk_c7,iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_511,c_479]) ).
tcf(c_1085,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c7) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_513,c_478]) ).
tcf(c_1244,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_517,c_514]) ).
tcf(c_1246,plain,
( ( sk_c8 = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_517,c_479]) ).
tcf(c_1263,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_24,sk_c7) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_518,c_478]) ).
tcf(c_1487,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c7 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_523,c_520]) ).
tcf(c_1490,plain,
( ( sk_c7 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_523,c_479]) ).
tcf(c_1524,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_524,c_512]) ).
tcf(c_2005,plain,
( ~ iPr_def_12
| ( sk_c6 != identity )
| ( inverse(inverse(sk_c8)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_90,c_492]) ).
tcf(c_2096,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_19 )
| ( inverse(sk_c5) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_483,c_493]) ).
tcf(c_2100,plain,
( ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(sk_c8)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_90,c_493]) ).
tcf(c_2118,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_19 )
| ( sk_c8 != iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_2096,c_481]) ).
tcf(c_2196,plain,
( ~ iPr_def_10
| ( sk_c8 != sk_c7 )
| ( inverse(identity) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_89,c_494]) ).
tcf(c_2321,plain,
( ~ iPr_def_13
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(sk_c8,iPr_def_19) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_483,c_491]) ).
tcf(c_2343,plain,
( ~ iPr_def_13
| ( sk_c8 != iPr_def_17 )
| ( multiply(sk_c8,iPr_def_19) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_2321,c_481]) ).
tcf(c_2456,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_478,c_91]) ).
tcf(c_2458,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_485,c_91]) ).
tcf(c_2459,plain,
! [X0: $i] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_483,c_91]) ).
tcf(c_2462,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c8,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_486,c_91]) ).
tcf(c_2464,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_90,c_91]) ).
tcf(c_2466,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_988,c_91]) ).
tcf(c_2467,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_989,c_91]) ).
tcf(c_2468,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_990,c_91]) ).
tcf(c_2469,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_991,c_91]) ).
tcf(c_2470,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_992,c_91]) ).
tcf(c_2476,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2470,c_89]) ).
tcf(c_2477,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2469,c_89]) ).
tcf(c_2478,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2468,c_89]) ).
tcf(c_2479,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2467,c_89]) ).
tcf(c_2480,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2466,c_89]) ).
tcf(c_2890,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c7) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1244,c_478]) ).
tcf(c_3659,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_15,sk_c7) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1524,c_478]) ).
tcf(c_3984,plain,
multiply(iPr_def_18,iPr_def_22) = sk_c8,
inference(superposition,[status(thm)],[c_486,c_2476]) ).
tcf(c_3989,plain,
multiply(iPr_def_24,iPr_def_25) = sk_c8,
inference(superposition,[status(thm)],[c_489,c_2477]) ).
tcf(c_3994,plain,
multiply(iPr_def_17,iPr_def_19) = sk_c8,
inference(superposition,[status(thm)],[c_483,c_2478]) ).
tcf(c_4009,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_19,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_3994,c_91]) ).
tcf(c_4167,plain,
multiply(iPr_def_16,iPr_def_15) = sk_c6,
inference(superposition,[status(thm)],[c_479,c_2480]) ).
tcf(c_4281,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(iPr_def_15,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_4167,c_91]) ).
tcf(c_7811,plain,
( ( sk_c8 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_519,c_1085]) ).
tcf(c_7820,plain,
( ( sk_c8 = iPr_def_17 )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_7811,c_3989]) ).
tcf(c_7943,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_17) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_7820,c_483]) ).
tcf(c_9029,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_524,c_1263]) ).
tcf(c_9041,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_9029,c_3989]) ).
tcf(c_11948,plain,
multiply(sk_c8,iPr_def_15) = multiply(iPr_def_14,sk_c6),
inference(superposition,[status(thm)],[c_479,c_2456]) ).
tcf(c_12962,plain,
multiply(sk_c5,iPr_def_14) = multiply(iPr_def_19,sk_c7),
inference(superposition,[status(thm)],[c_478,c_2459]) ).
tcf(c_13236,plain,
multiply(iPr_def_17,multiply(iPr_def_19,sk_c7)) = iPr_def_14,
inference(superposition,[status(thm)],[c_12962,c_2478]) ).
tcf(c_14014,plain,
multiply(sk_c2,iPr_def_14) = multiply(iPr_def_22,sk_c7),
inference(superposition,[status(thm)],[c_478,c_2462]) ).
tcf(c_14034,plain,
multiply(sk_c2,multiply(iPr_def_14,sk_c6)) = multiply(iPr_def_22,iPr_def_15),
inference(superposition,[status(thm)],[c_11948,c_2462]) ).
tcf(c_14760,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1487,c_2890]) ).
tcf(c_14775,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_14760,c_3989]) ).
tcf(c_16054,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2464,c_89]) ).
tcf(c_16073,plain,
multiply(inverse(sk_c8),iPr_def_14) = sk_c7,
inference(superposition,[status(thm)],[c_478,c_16054]) ).
tcf(c_16080,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_89,c_16054]) ).
tcf(c_16081,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_90,c_16054]) ).
tcf(c_16214,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_2480,c_16054]) ).
tcf(c_16215,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2479,c_16054]) ).
tcf(c_16216,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2478,c_16054]) ).
tcf(c_16217,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2477,c_16054]) ).
tcf(c_16218,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2476,c_16054]) ).
tcf(c_16239,plain,
multiply(inverse(sk_c8),multiply(iPr_def_14,sk_c6)) = iPr_def_15,
inference(superposition,[status(thm)],[c_11948,c_16054]) ).
tcf(c_16276,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_16054,c_16054]) ).
tcf(c_17163,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_16081,c_16276]) ).
tcf(c_17172,plain,
multiply(sk_c8,sk_c7) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_17163,c_2456]) ).
tcf(c_17184,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_17163,c_16080]) ).
tcf(c_17191,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_17172,c_478]) ).
tcf(c_18269,plain,
multiply(sk_c8,identity) = multiply(iPr_def_17,iPr_def_19),
inference(superposition,[status(thm)],[c_17163,c_4009]) ).
tcf(c_18332,plain,
multiply(sk_c6,identity) = multiply(iPr_def_16,iPr_def_15),
inference(superposition,[status(thm)],[c_17163,c_4281]) ).
tcf(c_18335,plain,
multiply(sk_c6,identity) = sk_c6,
inference(light_normalisation,[status(thm)],[c_18332,c_4167]) ).
tcf(c_19027,plain,
multiply(sk_c7,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_16214,c_90]) ).
tcf(c_19031,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_16214,c_16054]) ).
tcf(c_19046,plain,
( ( identity = iPr_def_15 )
| ( sk_c7 = iPr_def_25 ) ),
inference(demodulation,[status(thm)],[c_1490,c_19027]) ).
tcf(c_19047,plain,
( ( identity = iPr_def_15 )
| ( sk_c8 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_1246,c_19027]) ).
tcf(c_19048,plain,
( ( identity = iPr_def_15 )
| ( sk_c7 = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_1030,c_19027]) ).
tcf(c_19049,plain,
( ( identity = iPr_def_15 )
| ( sk_c8 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_832,c_19027]) ).
tcf(c_19155,plain,
multiply(sk_c4,identity) = multiply(iPr_def_21,iPr_def_16),
inference(superposition,[status(thm)],[c_19027,c_2458]) ).
tcf(c_19156,plain,
multiply(sk_c8,identity) = multiply(iPr_def_14,iPr_def_16),
inference(superposition,[status(thm)],[c_19027,c_2456]) ).
tcf(c_19157,plain,
multiply(iPr_def_16,identity) = iPr_def_16,
inference(superposition,[status(thm)],[c_19027,c_2480]) ).
tcf(c_19621,plain,
( ( identity = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_25) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_19046,c_478]) ).
tcf(c_19823,plain,
( ( identity = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_19047,c_489]) ).
tcf(c_20094,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19048,c_19046]) ).
tcf(c_20260,plain,
multiply(sk_c7,sk_c6) = iPr_def_15,
inference(superposition,[status(thm)],[c_4167,c_19031]) ).
tcf(c_20573,plain,
( ( identity = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_19049,c_486]) ).
tcf(c_21034,plain,
multiply(iPr_def_21,iPr_def_16) = sk_c4,
inference(demodulation,[status(thm)],[c_19155,c_17163]) ).
tcf(c_21078,plain,
multiply(iPr_def_14,iPr_def_16) = sk_c8,
inference(demodulation,[status(thm)],[c_19156,c_17163]) ).
tcf(c_21079,plain,
multiply(inverse(iPr_def_14),sk_c8) = iPr_def_16,
inference(superposition,[status(thm)],[c_21078,c_16054]) ).
tcf(c_21119,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_14)) != sk_c8 )
| ( multiply(sk_c8,iPr_def_16) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_21079,c_491]) ).
tcf(c_21121,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_16 )
| ( inverse(inverse(iPr_def_14)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_21079,c_492]) ).
tcf(c_21546,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20094,c_89]) ).
tcf(c_21753,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_20)) != sk_c7 )
| ( multiply(sk_c4,sk_c7) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_16215,c_494]) ).
tcf(c_21755,plain,
multiply(sk_c4,identity) = inverse(iPr_def_20),
inference(superposition,[status(thm)],[c_16215,c_17163]) ).
tcf(c_21762,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_21 )
| ( inverse(inverse(iPr_def_20)) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_21753,c_485]) ).
tcf(c_21801,plain,
inverse(iPr_def_20) = sk_c4,
inference(demodulation,[status(thm)],[c_21755,c_17163]) ).
tcf(c_23685,plain,
multiply(sk_c5,iPr_def_17) = identity,
inference(superposition,[status(thm)],[c_16216,c_90]) ).
tcf(c_23690,plain,
multiply(sk_c5,identity) = inverse(iPr_def_17),
inference(superposition,[status(thm)],[c_16216,c_17163]) ).
tcf(c_24115,plain,
inverse(iPr_def_17) = sk_c5,
inference(demodulation,[status(thm)],[c_23690,c_17163]) ).
tcf(c_26071,plain,
multiply(sk_c1,iPr_def_24) = identity,
inference(superposition,[status(thm)],[c_16217,c_90]) ).
tcf(c_33592,plain,
multiply(sk_c2,iPr_def_18) = identity,
inference(superposition,[status(thm)],[c_16218,c_90]) ).
tcf(c_33596,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_18,X0)) = X0,
inference(superposition,[status(thm)],[c_16218,c_16054]) ).
tcf(c_33597,plain,
multiply(sk_c2,identity) = inverse(iPr_def_18),
inference(superposition,[status(thm)],[c_16218,c_17163]) ).
tcf(c_35011,plain,
inverse(iPr_def_18) = sk_c2,
inference(demodulation,[status(thm)],[c_33597,c_17163]) ).
tcf(c_35022,plain,
multiply(sk_c2,sk_c8) = iPr_def_22,
inference(superposition,[status(thm)],[c_3984,c_33596]) ).
tcf(c_38196,plain,
( ( identity = iPr_def_19 )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_7943,c_23685]) ).
tcf(c_53288,plain,
( ~ iPr_def_10
| ( sk_c7 != identity )
| ( sk_c8 != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_2196,c_17184]) ).
tcf(c_61254,plain,
( ( identity = iPr_def_15 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_19047,c_19621]) ).
tcf(c_61306,plain,
( ( identity = iPr_def_15 )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_61254,c_3989]) ).
tcf(c_62797,plain,
( ( identity = iPr_def_25 )
| ( identity = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_19823,c_26071]) ).
tcf(c_63445,plain,
( ( identity = iPr_def_15 )
| ( sk_c6 = iPr_def_16 )
| ( multiply(iPr_def_14,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_61306,c_956]) ).
tcf(c_66896,plain,
( ( identity = iPr_def_22 )
| ( identity = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_20573,c_33592]) ).
tcf(c_66925,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66896,c_62797]) ).
tcf(c_67522,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_66925,c_66896]) ).
tcf(c_67871,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c7 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21546,c_3659]) ).
tcf(c_69423,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_67871,c_19027]) ).
tcf(c_91690,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_69423,c_67522,c_63445,c_61306,c_53288,c_38196,c_35022,c_35011,c_33592,c_24115,c_21801,c_21762,c_21121,c_21119,c_21079,c_21078,c_21034,c_20260,c_19157,c_19156,c_19027,c_18335,c_18332,c_18269,c_17191,c_17172,c_17184,c_16239,c_16073,c_14775,c_14034,c_14014,c_13236,c_12962,c_11948,c_9041,c_2343,c_2118,c_2100,c_2005,c_988,c_530,c_529,c_528,c_527,c_526,c_525,c_500,c_499,c_498,c_497,c_496,c_495,c_490,c_484,c_482,c_480]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP283-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 14:23:47 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 21.51/4.25 % SZS status Started for theBenchmark.p
% 21.51/4.25 % SZS status Unsatisfiable for theBenchmark.p
% 21.51/4.25
% 21.51/4.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 21.51/4.25
% 21.51/4.25 % ------ iProver source info
% 21.51/4.25
% 21.51/4.25 % git: date: 2026-07-19 20:42:38 +0200
% 21.51/4.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 21.51/4.25 % git: non_committed_changes: false
% 21.51/4.25
% 21.51/4.25 % ------ Parsing...% successful
% 21.51/4.25
% 21.51/4.25
% 21.51/4.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 21.51/4.25
% 21.51/4.25 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 21.51/4.25
% 21.51/4.25 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 21.51/4.25
% 21.51/4.25 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 21.51/4.25 % ------ Proving...
% 21.51/4.25 % ------ Problem Properties
% 21.51/4.25
% 21.51/4.25 %
% 21.51/4.25 % clauses 56
% 21.51/4.25 % conjectures 41
% 21.51/4.25 % EPR 37
% 21.51/4.25 % Horn 19
% 21.51/4.25 % unary 15
% 21.51/4.25 % binary 36
% 21.51/4.25 % lits 106
% 21.51/4.25 % lits eq 98
% 21.51/4.25 % fd_pure 0
% 21.51/4.25 % fd_pseudo 0
% 21.51/4.25 % fd_cond 0
% 21.51/4.25 % fd_pseudo_cond 0
% 21.51/4.25 % AC symbols 0
% 21.51/4.25
% 21.51/4.25 % ------ Schedule dynamic 5 is on
% 21.51/4.25
% 21.51/4.25 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 21.51/4.25
% 21.51/4.25
% 21.51/4.25 % ------
% 21.51/4.25 % Current options:
% 21.51/4.25 % ------
% 21.51/4.25
% 21.51/4.25
% 21.51/4.25 %
% 21.51/4.25
% 21.51/4.25 % ------ Proving...
% 21.51/4.25 %
% 21.51/4.25
% 21.51/4.25 % SZS status Unsatisfiable for theBenchmark.p
% 21.51/4.25
% 21.51/4.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 21.51/4.25
% 21.51/4.25
%------------------------------------------------------------------------------