%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP268-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n014.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 01:32:39 PM UTC 2026
% Result : Unsatisfiable 3.15s 1.64s
% Output : CNFRefutation 3.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 34
% Syntax : Number of formulae : 243 ( 71 unt; 10 def)
% Number of atoms : 779 ( 426 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 378 ( 130 ~; 248 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 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 : 15 ( 13 usr; 14 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 62 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c7 = inverse(sk_c6)
| multiply(sk_c1,sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c7 = inverse(sk_c6)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = inverse(sk_c6)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c8 = inverse(sk_c5)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = inverse(sk_c6)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c6,sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c6,sk_c4) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c6,sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c6,sk_c4) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c6,sk_c4) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = inverse(sk_c6)
| sk_c7 = multiply(sk_c6,sk_c4) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c4 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f35]) ).
fof(f39,negated_conjecture,
( inverse(sk_c6) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = inverse(sk_c6)
| sk_c4 = multiply(sk_c3,sk_c6) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = inverse(sk_c5)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c6) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c7 = inverse(sk_c6)
| sk_c6 = inverse(sk_c3) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( inverse(sk_c6) != sk_c7
| inverse(X4) != sk_c8
| multiply(X4,sk_c8) != sk_c7
| inverse(X3) != sk_c6
| multiply(X3,sk_c6) != X2
| multiply(sk_c6,X2) != sk_c7
| inverse(X1) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
! [X2,X3,X0,X1,X4] :
( sk_c7 != inverse(sk_c6)
| sk_c8 != inverse(X4)
| sk_c7 != multiply(X4,sk_c8)
| sk_c6 != inverse(X3)
| multiply(X3,sk_c6) != X2
| sk_c7 != multiply(sk_c6,X2)
| sk_c6 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6)
| inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,plain,
! [X3,X0,X1,X4] :
( sk_c7 != inverse(sk_c6)
| sk_c8 != inverse(X4)
| sk_c7 != multiply(X4,sk_c8)
| sk_c6 != inverse(X3)
| sk_c7 != multiply(sk_c6,multiply(X3,sk_c6))
| sk_c6 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6)
| inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8) ),
inference(equality_resolution,[],[f48]) ).
tcf(c_74,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_75,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_77,negated_conjecture,
( ( multiply(sk_c5,sk_c8) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_78,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_79,negated_conjecture,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_80,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_81,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_82,negated_conjecture,
( ( inverse(sk_c6) = sk_c7 )
| ( inverse(sk_c1) = sk_c8 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_83,negated_conjecture,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_84,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_85,negated_conjecture,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_86,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_87,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_88,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_89,negated_conjecture,
( ( multiply(sk_c6,sk_c4) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_90,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c6,sk_c4) = sk_c7 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_91,negated_conjecture,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c6,sk_c4) = sk_c7 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_92,negated_conjecture,
( ( multiply(sk_c3,sk_c6) = sk_c4 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c4 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c5,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_96,negated_conjecture,
( ( inverse(sk_c3) = sk_c6 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c3) = sk_c6 )
| ( inverse(sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_98,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(sk_c6) != sk_c7 )
| ( inverse(X3) != sk_c6 )
| ( inverse(X2) != sk_c6 )
| ( inverse(X1) != sk_c8 )
| ( inverse(X0) != sk_c8 )
| ( multiply(X3,sk_c6) != sk_c7 )
| ( multiply(X1,sk_c8) != sk_c7 )
| ( multiply(X0,sk_c8) != sk_c7 )
| ( multiply(sk_c6,multiply(X2,sk_c6)) != sk_c7 ) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_315,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_98]) ).
tcf(c_316,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_98]) ).
tcf(c_317,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c6 )
| ( multiply(sk_c6,multiply(X0,sk_c6)) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_98]) ).
tcf(c_318,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c6) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_98]) ).
tcf(c_319,definition,
iPr_def_13 = inverse(sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_320,definition,
iPr_def_14 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_321,definition,
iPr_def_15 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_322,definition,
iPr_def_16 = multiply(sk_c5,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_323,definition,
iPr_def_17 = multiply(sk_c3,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_324,definition,
iPr_def_18 = multiply(sk_c6,sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_325,definition,
iPr_def_19 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_326,definition,
iPr_def_20 = multiply(sk_c2,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_327,definition,
iPr_def_21 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_328,definition,
iPr_def_22 = multiply(sk_c1,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_329,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_13 != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_318,c_319]) ).
tcf(c_330,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c6 )
| ( multiply(sk_c6,multiply(X0,sk_c6)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_317]) ).
tcf(c_331,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_316]) ).
tcf(c_333,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_315]) ).
tcf(c_334,negated_conjecture,
( ( iPr_def_14 = sk_c6 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_97,c_320]) ).
tcf(c_335,negated_conjecture,
( ( iPr_def_15 = sk_c8 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_96,c_321]) ).
tcf(c_336,negated_conjecture,
( ( iPr_def_16 = sk_c7 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_95,c_322]) ).
tcf(c_337,negated_conjecture,
( ( iPr_def_17 = sk_c4 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_94,c_323]) ).
tcf(c_339,negated_conjecture,
( ( iPr_def_17 = sk_c4 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_340,negated_conjecture,
( ( iPr_def_18 = sk_c7 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_91,c_324]) ).
tcf(c_341,negated_conjecture,
( ( iPr_def_18 = sk_c7 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_342,negated_conjecture,
( ( iPr_def_18 = sk_c7 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_343,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_88,c_325]) ).
tcf(c_344,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_345,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_346,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_85,c_326]) ).
tcf(c_347,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_84]) ).
tcf(c_348,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_83]) ).
tcf(c_349,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_82,c_327]) ).
tcf(c_350,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_81]) ).
tcf(c_351,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_80]) ).
tcf(c_352,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_79,c_328]) ).
tcf(c_353,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_78]) ).
tcf(c_354,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_77]) ).
tcf(c_563,plain,
( ( sk_c6 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_335,c_322]) ).
tcf(c_572,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_14,sk_c4) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_336,c_324]) ).
tcf(c_573,plain,
( ( sk_c7 = iPr_def_13 )
| ( multiply(iPr_def_14,sk_c4) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_334,c_324]) ).
tcf(c_591,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_341,c_322]) ).
tcf(c_630,plain,
( ( sk_c6 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_344,c_322]) ).
tcf(c_675,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_347,c_322]) ).
tcf(c_726,plain,
multiply(iPr_def_15,sk_c5) = identity,
inference(superposition,[status(thm)],[c_321,c_75]) ).
tcf(c_727,plain,
multiply(iPr_def_13,sk_c6) = identity,
inference(superposition,[status(thm)],[c_319,c_75]) ).
tcf(c_728,plain,
multiply(iPr_def_21,sk_c1) = identity,
inference(superposition,[status(thm)],[c_327,c_75]) ).
tcf(c_729,plain,
multiply(iPr_def_19,sk_c2) = identity,
inference(superposition,[status(thm)],[c_325,c_75]) ).
tcf(c_730,plain,
multiply(iPr_def_14,sk_c3) = identity,
inference(superposition,[status(thm)],[c_320,c_75]) ).
tcf(c_739,plain,
( ( sk_c7 = iPr_def_13 )
| ( multiply(sk_c1,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_349,c_328]) ).
tcf(c_783,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_350,c_328]) ).
tcf(c_844,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_351,c_328]) ).
tcf(c_885,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c7 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_352,c_340]) ).
tcf(c_886,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c7 = iPr_def_13 )
| ( iPr_def_13 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_352,c_329]) ).
tcf(c_922,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_353,c_328]) ).
tcf(c_923,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_353,c_322]) ).
tcf(c_977,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_20 )
| ( inverse(sk_c2) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_326,c_331]) ).
tcf(c_981,plain,
( ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(iPr_def_13) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_727,c_331]) ).
tcf(c_996,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_19 )
| ( sk_c7 != iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_977,c_325]) ).
tcf(c_1039,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_22 )
| ( inverse(sk_c1) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_328,c_333]) ).
tcf(c_1040,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_16 )
| ( inverse(sk_c5) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_322,c_333]) ).
tcf(c_1054,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_16 )
| ( sk_c8 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_1040,c_321]) ).
tcf(c_1058,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_22 )
| ( sk_c8 != iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_1039,c_327]) ).
tcf(c_1140,plain,
( ~ iPr_def_12
| ( inverse(identity) != sk_c6 )
| ( multiply(sk_c6,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_74,c_330]) ).
tcf(c_1254,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c6,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_326,c_76]) ).
tcf(c_1256,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_323,c_76]) ).
tcf(c_1258,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_75,c_76]) ).
tcf(c_1260,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_726,c_76]) ).
tcf(c_1261,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_727,c_76]) ).
tcf(c_1262,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_728,c_76]) ).
tcf(c_1263,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_729,c_76]) ).
tcf(c_1268,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1263,c_74]) ).
tcf(c_1269,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1262,c_74]) ).
tcf(c_1270,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1261,c_74]) ).
tcf(c_1271,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1260,c_74]) ).
tcf(c_1357,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_730,c_76]) ).
tcf(c_1358,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1357,c_74]) ).
tcf(c_1599,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_18 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_885,c_329]) ).
tcf(c_1823,plain,
multiply(iPr_def_19,iPr_def_20) = sk_c6,
inference(superposition,[status(thm)],[c_326,c_1268]) ).
tcf(c_1837,plain,
multiply(iPr_def_21,iPr_def_22) = sk_c8,
inference(superposition,[status(thm)],[c_328,c_1269]) ).
tcf(c_1890,plain,
multiply(iPr_def_15,iPr_def_16) = sk_c8,
inference(superposition,[status(thm)],[c_322,c_1271]) ).
tcf(c_1957,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_14,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_339,c_572]) ).
tcf(c_1991,plain,
( ( sk_c7 = iPr_def_13 )
| ( multiply(iPr_def_14,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_337,c_573]) ).
tcf(c_2133,plain,
multiply(iPr_def_14,iPr_def_17) = sk_c6,
inference(superposition,[status(thm)],[c_323,c_1358]) ).
tcf(c_2476,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_783,c_1269]) ).
tcf(c_2477,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c8 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_2476,c_1837]) ).
tcf(c_2529,plain,
( ( sk_c7 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_844,c_1269]) ).
tcf(c_2530,plain,
( ( sk_c7 = iPr_def_16 )
| ( sk_c8 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_2529,c_1837]) ).
tcf(c_2558,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_922,c_1269]) ).
tcf(c_2559,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c8 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_2558,c_1837]) ).
tcf(c_2653,plain,
( ( sk_c6 = iPr_def_18 )
| ( sk_c7 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_1957,c_2133]) ).
tcf(c_2676,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c7 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2653,c_345]) ).
tcf(c_2893,plain,
( ( sk_c6 = iPr_def_18 )
| ( sk_c7 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_1991,c_2133]) ).
tcf(c_2917,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c7 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2893,c_343]) ).
tcf(c_4995,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1258,c_74]) ).
tcf(c_5012,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_74,c_4995]) ).
tcf(c_5013,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_75,c_4995]) ).
tcf(c_5044,plain,
multiply(inverse(iPr_def_14),identity) = sk_c3,
inference(superposition,[status(thm)],[c_730,c_4995]) ).
tcf(c_5061,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_1271,c_4995]) ).
tcf(c_5062,plain,
! [X0: $i] : multiply(inverse(iPr_def_13),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_1270,c_4995]) ).
tcf(c_5063,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1269,c_4995]) ).
tcf(c_5066,plain,
multiply(inverse(iPr_def_19),sk_c6) = iPr_def_20,
inference(superposition,[status(thm)],[c_1823,c_4995]) ).
tcf(c_5074,plain,
multiply(inverse(iPr_def_14),sk_c6) = iPr_def_17,
inference(superposition,[status(thm)],[c_2133,c_4995]) ).
tcf(c_5083,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_4995,c_4995]) ).
tcf(c_5327,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_5013,c_5083]) ).
tcf(c_5351,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_5327,c_5012]) ).
tcf(c_5434,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_5351,c_75]) ).
tcf(c_5798,plain,
( ( sk_c7 = iPr_def_16 )
| ~ iPr_def_11
| ( sk_c7 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_345,c_996]) ).
tcf(c_5799,plain,
( ( sk_c7 = iPr_def_13 )
| ~ iPr_def_11
| ( sk_c7 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_343,c_996]) ).
tcf(c_5902,plain,
( ( sk_c7 = iPr_def_16 )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_348,c_5798]) ).
tcf(c_5958,plain,
( ( sk_c7 = iPr_def_13 )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_346,c_5799]) ).
tcf(c_5969,plain,
( iPr_def_12
| iPr_def_10
| ( sk_c7 = iPr_def_13 )
| ( iPr_def_13 != iPr_def_22 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_886,c_5958]) ).
tcf(c_5988,plain,
multiply(sk_c5,iPr_def_15) = identity,
inference(superposition,[status(thm)],[c_5061,c_75]) ).
tcf(c_5993,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_15,X0)) = X0,
inference(superposition,[status(thm)],[c_5061,c_4995]) ).
tcf(c_6005,plain,
( ( identity = iPr_def_16 )
| ( sk_c7 = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_923,c_5988]) ).
tcf(c_6006,plain,
( ( identity = iPr_def_16 )
| ( sk_c7 = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_675,c_5988]) ).
tcf(c_6007,plain,
( ( identity = iPr_def_16 )
| ( sk_c6 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_630,c_5988]) ).
tcf(c_6008,plain,
( ( identity = iPr_def_16 )
| ( sk_c7 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_591,c_5988]) ).
tcf(c_6009,plain,
( ( identity = iPr_def_16 )
| ( sk_c6 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_563,c_5988]) ).
tcf(c_6098,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_16 )
| ( iPr_def_13 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_6005,c_329]) ).
tcf(c_6592,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( identity = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_6008,c_6006]) ).
tcf(c_6727,plain,
multiply(sk_c5,sk_c8) = iPr_def_16,
inference(superposition,[status(thm)],[c_1890,c_5993]) ).
tcf(c_6771,plain,
( ( iPr_def_14 = iPr_def_19 )
| ( identity = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_6009,c_6007]) ).
tcf(c_7030,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( inverse(iPr_def_16) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_6592,c_5351]) ).
tcf(c_7105,plain,
( ( iPr_def_14 = iPr_def_19 )
| ( inverse(iPr_def_16) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_6771,c_5351]) ).
tcf(c_7121,plain,
multiply(sk_c6,iPr_def_13) = identity,
inference(superposition,[status(thm)],[c_5062,c_75]) ).
tcf(c_7126,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_13,X0)) = X0,
inference(superposition,[status(thm)],[c_5062,c_4995]) ).
tcf(c_7127,plain,
multiply(sk_c6,identity) = inverse(iPr_def_13),
inference(superposition,[status(thm)],[c_5062,c_5327]) ).
tcf(c_7386,plain,
( ( sk_c7 = iPr_def_13 )
| ( multiply(iPr_def_18,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_2893,c_7121]) ).
tcf(c_7396,plain,
multiply(sk_c3,identity) = multiply(iPr_def_17,iPr_def_13),
inference(superposition,[status(thm)],[c_7121,c_1256]) ).
tcf(c_7397,plain,
multiply(sk_c2,identity) = multiply(iPr_def_20,iPr_def_13),
inference(superposition,[status(thm)],[c_7121,c_1254]) ).
tcf(c_7556,plain,
inverse(iPr_def_13) = sk_c6,
inference(demodulation,[status(thm)],[c_7127,c_5327]) ).
tcf(c_7586,plain,
( ~ iPr_def_12
| ( sk_c7 != sk_c6 )
| ( inverse(iPr_def_13) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_7126,c_330]) ).
tcf(c_7614,plain,
( ~ iPr_def_12
| ( sk_c7 != sk_c6 ) ),
inference(ground_joinability,[status(thm)],[c_7586,c_7556]) ).
tcf(c_7737,plain,
( ( sk_c7 = iPr_def_16 )
| ~ iPr_def_12
| ( sk_c7 != iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_345,c_7614]) ).
tcf(c_7738,plain,
( ( sk_c7 = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c7 != iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_343,c_7614]) ).
tcf(c_7739,plain,
( ( sk_c7 = iPr_def_16 )
| ~ iPr_def_12
| ( sk_c7 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_336,c_7614]) ).
tcf(c_7740,plain,
( ( sk_c7 = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c7 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_334,c_7614]) ).
tcf(c_7934,plain,
( ( sk_c7 = iPr_def_16 )
| ~ iPr_def_12
| ( iPr_def_18 != iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_342,c_7737]) ).
tcf(c_8018,plain,
( ( sk_c7 = iPr_def_13 )
| ~ iPr_def_12
| ( iPr_def_18 != iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_340,c_7738]) ).
tcf(c_8036,plain,
( ( sk_c7 = iPr_def_16 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_7739,c_2676,c_7934]) ).
tcf(c_8049,plain,
( ( sk_c7 = iPr_def_13 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_7740,c_2917,c_8018]) ).
tcf(c_8386,plain,
multiply(iPr_def_17,iPr_def_13) = sk_c3,
inference(demodulation,[status(thm)],[c_7396,c_5327]) ).
tcf(c_8534,plain,
multiply(iPr_def_20,iPr_def_13) = sk_c2,
inference(demodulation,[status(thm)],[c_7397,c_5327]) ).
tcf(c_8536,plain,
multiply(inverse(iPr_def_20),sk_c2) = iPr_def_13,
inference(superposition,[status(thm)],[c_8534,c_4995]) ).
tcf(c_8614,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),multiply(sk_c2,X0)) = multiply(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_8536,c_76]) ).
tcf(c_8718,plain,
( ( iPr_def_13 != iPr_def_22 )
| ( sk_c7 = iPr_def_13 )
| iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_5969,c_2917,c_5969,c_8018]) ).
tcf(c_8719,plain,
( iPr_def_10
| ( sk_c7 = iPr_def_13 )
| ( iPr_def_13 != iPr_def_22 ) ),
inference(renaming,[status(thm)],[c_8718]) ).
tcf(c_9051,plain,
multiply(inverse(iPr_def_20),iPr_def_20) = multiply(iPr_def_13,sk_c6),
inference(superposition,[status(thm)],[c_326,c_8614]) ).
tcf(c_9060,plain,
multiply(inverse(iPr_def_20),sk_c2) = multiply(iPr_def_13,identity),
inference(superposition,[status(thm)],[c_5327,c_8614]) ).
tcf(c_9064,plain,
multiply(inverse(iPr_def_20),iPr_def_20) = identity,
inference(light_normalisation,[status(thm)],[c_9051,c_727]) ).
tcf(c_9100,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_16 ) ),
inference(global_subsumption_just,[status(thm)],[c_1054,c_1058,c_1054,c_2477,c_2559]) ).
tcf(c_9393,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_1058,c_1058,c_2530,c_9100]) ).
tcf(c_9424,plain,
( ( sk_c7 = iPr_def_16 )
| ~ iPr_def_10 ),
inference(superposition,[status(thm)],[c_354,c_9393]) ).
tcf(c_9436,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_9424,c_9100,c_9424]) ).
tcf(c_9440,plain,
( ( sk_c7 = iPr_def_13 )
| ( iPr_def_13 != iPr_def_22 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_8719,c_9436]) ).
tcf(c_9444,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_18 = iPr_def_22 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1599,c_9436]) ).
tcf(c_9448,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c7 != iPr_def_13 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_329,c_9436]) ).
tcf(c_9570,plain,
( iPr_def_12
| iPr_def_11
| ( iPr_def_13 != iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_6098,c_9448,c_9440]) ).
tcf(c_9980,plain,
( ~ iPr_def_11
| ( sk_c7 != identity ) ),
inference(ground_joinability,[status(thm)],[c_981,c_7556]) ).
tcf(c_9991,plain,
( ( identity = iPr_def_16 )
| ~ iPr_def_11
| ( identity != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_6005,c_9980]) ).
tcf(c_10514,plain,
multiply(sk_c1,iPr_def_21) = identity,
inference(superposition,[status(thm)],[c_5063,c_75]) ).
tcf(c_10527,plain,
( ( identity = iPr_def_22 )
| ( sk_c7 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_844,c_10514]) ).
tcf(c_10528,plain,
( ( identity = iPr_def_22 )
| ( sk_c8 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_783,c_10514]) ).
tcf(c_10529,plain,
( ( identity = iPr_def_22 )
| ( sk_c7 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_739,c_10514]) ).
tcf(c_10653,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( identity != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_10527,c_9980]) ).
tcf(c_10741,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_10528,c_322]) ).
tcf(c_10742,plain,
( ( identity = iPr_def_22 )
| ( identity = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_10741,c_5988]) ).
tcf(c_10784,plain,
( iPr_def_12
| iPr_def_11
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_10529,c_9448]) ).
tcf(c_10816,plain,
( iPr_def_12
| ( identity = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_10784,c_9448,c_10529,c_10653,c_10742]) ).
tcf(c_10861,plain,
( ~ iPr_def_12
| ( sk_c6 != identity )
| ( multiply(sk_c6,sk_c6) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_1140,c_5351]) ).
tcf(c_11180,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_10861,c_10816,c_9991,c_9980,c_9570,c_9448,c_9436,c_9064,c_9060,c_9051,c_9444,c_8536,c_8386,c_8049,c_8036,c_7614,c_7556,c_7386,c_7105,c_7030,c_6727,c_6006,c_5988,c_5902,c_5351,c_5074,c_5066,c_5044,c_5434,c_336,c_335,c_334,c_329,c_319]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP268-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n014.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 14:18:48 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 3.15/1.64 % SZS status Started for theBenchmark.p
% 3.15/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 3.15/1.64
% 3.15/1.64 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.15/1.64
% 3.15/1.64 % ------ iProver source info
% 3.15/1.64
% 3.15/1.64 % git: date: 2026-07-19 20:42:38 +0200
% 3.15/1.64 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.15/1.64 % git: non_committed_changes: false
% 3.15/1.64
% 3.15/1.64 % ------ Parsing...% successful
% 3.15/1.64
% 3.15/1.64
% 3.15/1.64 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.15/1.64
% 3.15/1.64 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.15/1.64
% 3.15/1.64 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.15/1.64
% 3.15/1.64 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.15/1.64 % ------ Proving...
% 3.15/1.64 % ------ Problem Properties
% 3.15/1.64
% 3.15/1.64 %
% 3.15/1.64 % clauses 38
% 3.15/1.64 % conjectures 25
% 3.15/1.64 % EPR 22
% 3.15/1.64 % Horn 16
% 3.15/1.64 % unary 13
% 3.15/1.64 % binary 21
% 3.15/1.64 % lits 68
% 3.15/1.64 % lits eq 62
% 3.15/1.64 % fd_pure 0
% 3.15/1.64 % fd_pseudo 0
% 3.15/1.64 % fd_cond 0
% 3.15/1.64 % fd_pseudo_cond 0
% 3.15/1.64 % AC symbols 0
% 3.15/1.64
% 3.15/1.64 % ------ Schedule dynamic 5 is on
% 3.15/1.64
% 3.15/1.64 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.15/1.64
% 3.15/1.64
% 3.15/1.64 % ------
% 3.15/1.64 % Current options:
% 3.15/1.64 % ------
% 3.15/1.64
% 3.15/1.64
% 3.15/1.64 %
% 3.15/1.64
% 3.15/1.64 % ------ Proving...
% 3.15/1.64 %
% 3.15/1.64
% 3.15/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 3.15/1.64
% 3.15/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.15/1.65
% 3.15/1.65
%------------------------------------------------------------------------------