%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP304-1 : 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 : 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 01:32:47 PM UTC 2026
% Result : Unsatisfiable 6.39s 2.39s
% Output : CNFRefutation 11.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 36
% Syntax : Number of formulae : 350 ( 96 unt; 10 def)
% Number of atoms : 1356 ( 659 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 557 ( 193 ~; 364 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 14 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 92 ( 0 sgn 92 !; 0 ?; 75 :)
% 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_c7,sk_c6) = sk_c5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( sk_c7 = inverse(sk_c2)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f8]) ).
fof(f12,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c4
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c4 = multiply(sk_c3,sk_c7)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c7 = inverse(sk_c3)
| sk_c5 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c7 = inverse(sk_c2)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( multiply(sk_c7,sk_c4) = sk_c6
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c6 = multiply(sk_c7,sk_c4)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c4
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c4 = multiply(sk_c3,sk_c7)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c7 = inverse(sk_c3)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c1,sk_c6) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c1,sk_c6) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( multiply(sk_c7,sk_c4) = sk_c6
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c6 = multiply(sk_c7,sk_c4)
| sk_c7 = multiply(sk_c1,sk_c6) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c4
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c4 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c1,sk_c6) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c6) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c6 = inverse(sk_c1) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c7 = inverse(sk_c2)
| sk_c6 = inverse(sk_c1) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( multiply(sk_c7,sk_c4) = sk_c6
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c6 = multiply(sk_c7,sk_c4)
| sk_c6 = inverse(sk_c1) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c4
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c4 = multiply(sk_c3,sk_c7)
| sk_c6 = inverse(sk_c1) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c7 = inverse(sk_c3)
| sk_c6 = inverse(sk_c1) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
! [X2,X3,X0,X1] :
( inverse(X3) != sk_c7
| multiply(X3,sk_c7) != X2
| multiply(sk_c7,X2) != sk_c6
| inverse(X1) != sk_c7
| multiply(X1,sk_c7) != sk_c6
| inverse(X0) != sk_c6
| multiply(X0,sk_c6) != sk_c7
| inverse(sk_c7) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c7,sk_c6) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
! [X2,X3,X0,X1] :
( sk_c7 != inverse(X3)
| multiply(X3,sk_c7) != X2
| sk_c6 != multiply(sk_c7,X2)
| sk_c7 != inverse(X1)
| sk_c6 != multiply(X1,sk_c7)
| inverse(X0) != sk_c6
| sk_c7 != multiply(X0,sk_c6)
| sk_c5 != inverse(sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(reorient_equations,[],[f46]) ).
fof(f48,plain,
! [X3,X0,X1] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(sk_c7,multiply(X3,sk_c7))
| sk_c7 != inverse(X1)
| sk_c6 != multiply(X1,sk_c7)
| inverse(X0) != sk_c6
| sk_c7 != multiply(X0,sk_c6)
| sk_c5 != inverse(sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(equality_resolution,[],[f47]) ).
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_c7,sk_c6) = sk_c5,
inference(cnf_transformation,[],[f5]) ).
tcf(c_78,negated_conjecture,
( ( multiply(sk_c2,sk_c7) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_79,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_81,negated_conjecture,
( ( multiply(sk_c3,sk_c7) = sk_c4 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_82,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_83,negated_conjecture,
( ( inverse(sk_c7) = sk_c5 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_84,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_85,negated_conjecture,
( ( inverse(sk_c7) = sk_c5 )
| ( multiply(sk_c7,sk_c4) = sk_c6 ) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_86,negated_conjecture,
( ( inverse(sk_c7) = sk_c5 )
| ( multiply(sk_c3,sk_c7) = sk_c4 ) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_87,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_88,negated_conjecture,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_89,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_90,negated_conjecture,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c4) = sk_c6 ) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_91,negated_conjecture,
( ( multiply(sk_c1,sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c4 ) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c1,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c1) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c1) = sk_c6 )
| ( inverse(sk_c2) = sk_c7 ) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c1) = sk_c6 )
| ( multiply(sk_c7,sk_c4) = sk_c6 ) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_96,negated_conjecture,
( ( inverse(sk_c1) = sk_c6 )
| ( multiply(sk_c3,sk_c7) = sk_c4 ) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c1) = sk_c6 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_98,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(sk_c7) != sk_c5 )
| ( inverse(X2) != sk_c7 )
| ( inverse(X1) != sk_c7 )
| ( inverse(X0) != sk_c6 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( multiply(sk_c7,sk_c6) != sk_c5 )
| ( multiply(X1,sk_c7) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c7 )
| ( multiply(sk_c7,multiply(X2,sk_c7)) != sk_c6 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(sk_c7) != sk_c5 )
| ( inverse(X2) != sk_c7 )
| ( inverse(X1) != sk_c7 )
| ( inverse(X0) != sk_c6 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( multiply(sk_c7,multiply(X2,sk_c7)) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c7 )
| ( multiply(X1,sk_c7) != sk_c6 ) ),
inference(global_subsumption_just,[status(thm)],[c_98,c_77,c_98]) ).
tcf(c_104,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(sk_c7) != sk_c5 )
| ( inverse(X2) != sk_c7 )
| ( inverse(X1) != sk_c6 )
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( multiply(X2,sk_c7) != sk_c6 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6 ) ),
inference(renaming,[status(thm)],[c_103]) ).
tcf(c_308,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_104]) ).
tcf(c_309,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_104]) ).
tcf(c_310,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_104]) ).
tcf(c_311,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c7) != sk_c5 )
| ( multiply(sk_c6,sk_c7) != sk_c5 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_104]) ).
tcf(c_312,definition,
iPr_def_13 = multiply(sk_c6,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_313,definition,
iPr_def_14 = inverse(sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_314,definition,
iPr_def_15 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_315,definition,
iPr_def_16 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_316,definition,
iPr_def_17 = multiply(sk_c3,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_317,definition,
iPr_def_18 = multiply(sk_c7,sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_318,definition,
iPr_def_19 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_319,definition,
iPr_def_20 = multiply(sk_c2,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_320,definition,
iPr_def_21 = multiply(sk_c1,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_321,definition,
iPr_def_22 = multiply(sk_c7,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_322,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 != sk_c5 )
| ( iPr_def_13 != sk_c5 ) ),
inference(demodulation,[status(thm)],[c_311,c_313,c_312]) ).
tcf(c_323,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_310]) ).
tcf(c_324,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_309]) ).
tcf(c_325,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_308]) ).
tcf(c_326,negated_conjecture,
( ( iPr_def_16 = sk_c6 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_97,c_315,c_314]) ).
tcf(c_327,negated_conjecture,
( ( iPr_def_17 = sk_c4 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_96,c_316]) ).
tcf(c_328,negated_conjecture,
( ( iPr_def_18 = sk_c6 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_95,c_317]) ).
tcf(c_329,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_94,c_318]) ).
tcf(c_330,negated_conjecture,
( ( iPr_def_20 = sk_c6 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_93,c_319]) ).
tcf(c_331,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_92,c_320]) ).
tcf(c_332,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_17 = sk_c4 ) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_333,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_334,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_335,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_20 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_336,negated_conjecture,
( ( iPr_def_15 = sk_c7 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_337,negated_conjecture,
( ( iPr_def_17 = sk_c4 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_338,negated_conjecture,
( ( iPr_def_18 = sk_c6 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_85]) ).
tcf(c_339,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_84]) ).
tcf(c_340,negated_conjecture,
( ( iPr_def_20 = sk_c6 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_83]) ).
tcf(c_341,negated_conjecture,
( ( iPr_def_15 = sk_c7 )
| ( iPr_def_13 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_82]) ).
tcf(c_342,negated_conjecture,
( ( iPr_def_17 = sk_c4 )
| ( iPr_def_13 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_81]) ).
tcf(c_344,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_13 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_79]) ).
tcf(c_345,negated_conjecture,
( ( iPr_def_20 = sk_c6 )
| ( iPr_def_13 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_78]) ).
tcf(c_346,negated_conjecture,
iPr_def_22 = sk_c5,
inference(demodulation,[status(thm)],[c_77,c_321]) ).
tcf(c_347,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_348,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_353,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_347]) ).
tcf(c_543,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c6 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_330,c_328]) ).
tcf(c_562,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_16,sk_c7) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_329,c_312]) ).
tcf(c_564,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c7) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_326,c_312]) ).
tcf(c_583,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c7,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_332,c_317]) ).
tcf(c_591,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_331,c_319]) ).
tcf(c_601,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_18,sk_c7) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_333,c_312]) ).
tcf(c_617,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_334,c_319]) ).
tcf(c_621,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_334,c_312]) ).
tcf(c_640,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c7 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_335,c_333]) ).
tcf(c_655,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c7 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_336,c_346]) ).
tcf(c_666,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c4) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_655,c_317]) ).
tcf(c_684,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c4 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_337,c_346]) ).
tcf(c_691,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(sk_c7,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_684,c_317]) ).
tcf(c_696,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c6 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_338,c_346]) ).
tcf(c_729,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c7 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_339,c_346]) ).
tcf(c_768,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c6 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_340,c_346]) ).
tcf(c_792,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_335,c_320]) ).
tcf(c_795,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_329,c_320]) ).
tcf(c_797,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_326,c_320]) ).
tcf(c_828,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_19,sk_c6) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_729,c_321]) ).
tcf(c_830,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_21,sk_c6) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_334,c_321]) ).
tcf(c_831,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(iPr_def_21,sk_c6) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_331,c_321]) ).
tcf(c_835,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_333,c_321]) ).
tcf(c_864,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_22 )
| ( iPr_def_22 != X0 )
| ( iPr_def_13 != X0 ) ),
inference(instantiation,[status(thm)],[c_348]) ).
tcf(c_865,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( iPr_def_22 != sk_c7 )
| ( iPr_def_13 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_864]) ).
tcf(c_871,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_22 )
| ( iPr_def_22 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_348]) ).
tcf(c_889,plain,
multiply(iPr_def_19,sk_c2) = identity,
inference(superposition,[status(thm)],[c_318,c_75]) ).
tcf(c_890,plain,
multiply(iPr_def_15,sk_c3) = identity,
inference(superposition,[status(thm)],[c_314,c_75]) ).
tcf(c_891,plain,
multiply(iPr_def_14,sk_c7) = identity,
inference(superposition,[status(thm)],[c_313,c_75]) ).
tcf(c_892,plain,
multiply(iPr_def_16,sk_c1) = identity,
inference(superposition,[status(thm)],[c_315,c_75]) ).
tcf(c_893,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( sk_c7 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_341,c_346]) ).
tcf(c_907,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c4) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_893,c_317]) ).
tcf(c_941,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( sk_c4 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_342,c_346]) ).
tcf(c_953,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_13 = X0 )
| ( iPr_def_13 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_348]) ).
tcf(c_1010,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_22 = X0 )
| ( iPr_def_22 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_348]) ).
tcf(c_1013,plain,
! [X0: $i] :
( ( X0 = iPr_def_22 )
| ( iPr_def_22 != sk_c5 )
| ( X0 != sk_c5 ) ),
inference(instantiation,[status(thm)],[c_871]) ).
tcf(c_1015,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( sk_c7 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_344,c_346]) ).
tcf(c_1028,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( multiply(iPr_def_19,sk_c6) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1015,c_321]) ).
tcf(c_1060,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( sk_c6 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_345,c_346]) ).
tcf(c_1100,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 != iPr_def_22 )
| ( iPr_def_13 != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_322,c_346]) ).
tcf(c_1123,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_20 )
| ( inverse(sk_c2) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_319,c_324]) ).
tcf(c_1127,plain,
( ~ iPr_def_11
| ( sk_c6 != identity )
| ( inverse(iPr_def_14) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_891,c_324]) ).
tcf(c_1144,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_20 )
| ( sk_c7 != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_1123,c_318]) ).
tcf(c_1204,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_21 )
| ( inverse(sk_c1) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_320,c_325]) ).
tcf(c_1209,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_22 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,iPr_def_20) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_768,c_325]) ).
tcf(c_1211,plain,
! [X0: $i] :
( ( sk_c7 = iPr_def_21 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,iPr_def_20) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_335,c_325]) ).
tcf(c_1213,plain,
! [X0: $i] :
( ( sk_c6 = iPr_def_16 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,iPr_def_20) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_330,c_325]) ).
tcf(c_1220,plain,
( ~ iPr_def_10
| ( sk_c6 != iPr_def_16 )
| ( sk_c7 != iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_1204,c_315]) ).
tcf(c_1285,plain,
( ( iPr_def_22 = iPr_def_22 )
| ( iPr_def_22 != sk_c5 ) ),
inference(instantiation,[status(thm)],[c_1013]) ).
tcf(c_1346,plain,
( ~ iPr_def_12
| ( inverse(sk_c2) != sk_c7 )
| ( multiply(sk_c7,iPr_def_20) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_319,c_323]) ).
tcf(c_1350,plain,
( ~ iPr_def_12
| ( inverse(iPr_def_14) != sk_c7 )
| ( multiply(sk_c7,identity) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_891,c_323]) ).
tcf(c_1367,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_19 )
| ( multiply(sk_c7,iPr_def_20) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_1346,c_318]) ).
tcf(c_1447,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,iPr_def_16) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_543,c_325]) ).
tcf(c_1456,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_16,sk_c7) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_543,c_312]) ).
tcf(c_1568,plain,
! [X0: $i] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_312,c_76]) ).
tcf(c_1569,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_319,c_76]) ).
tcf(c_1571,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c7,X0)) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_316,c_76]) ).
tcf(c_1574,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_75,c_76]) ).
tcf(c_1576,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_889,c_76]) ).
tcf(c_1577,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_890,c_76]) ).
tcf(c_1578,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_891,c_76]) ).
tcf(c_1579,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_892,c_76]) ).
tcf(c_1584,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1579,c_74]) ).
tcf(c_1585,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1578,c_74]) ).
tcf(c_1586,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1577,c_74]) ).
tcf(c_1587,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1576,c_74]) ).
tcf(c_1631,plain,
! [X0: $i] :
( ( iPr_def_13 = X0 )
| ( iPr_def_13 != multiply(sk_c6,sk_c7) )
| ( X0 != multiply(sk_c6,sk_c7) ) ),
inference(instantiation,[status(thm)],[c_953]) ).
tcf(c_1632,plain,
( ( iPr_def_13 = sk_c7 )
| ( iPr_def_13 != multiply(sk_c6,sk_c7) )
| ( sk_c7 != multiply(sk_c6,sk_c7) ) ),
inference(instantiation,[status(thm)],[c_1631]) ).
tcf(c_1693,plain,
! [X0: $i] :
( ( iPr_def_22 = X0 )
| ( iPr_def_22 != iPr_def_22 )
| ( X0 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_1010]) ).
tcf(c_1695,plain,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_22 != iPr_def_22 )
| ( sk_c7 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_1693]) ).
tcf(c_1767,plain,
multiply(iPr_def_16,iPr_def_21) = sk_c6,
inference(superposition,[status(thm)],[c_320,c_1584]) ).
tcf(c_1875,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_334,c_562]) ).
tcf(c_1880,plain,
( ( sk_c6 = iPr_def_13 )
| ( sk_c7 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_1875,c_1767]) ).
tcf(c_1992,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_331,c_564]) ).
tcf(c_1996,plain,
( ( sk_c6 = iPr_def_13 )
| ( sk_c7 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_1992,c_1767]) ).
tcf(c_2096,plain,
multiply(iPr_def_14,iPr_def_22) = sk_c6,
inference(superposition,[status(thm)],[c_321,c_1585]) ).
tcf(c_2097,plain,
multiply(iPr_def_14,iPr_def_18) = sk_c4,
inference(superposition,[status(thm)],[c_317,c_1585]) ).
tcf(c_2103,plain,
! [X0: $i] :
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_14,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_334,c_1585]) ).
tcf(c_2170,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(iPr_def_22,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2096,c_76]) ).
tcf(c_2182,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(iPr_def_18,X0)) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2097,c_76]) ).
tcf(c_2192,plain,
multiply(iPr_def_15,iPr_def_17) = sk_c7,
inference(superposition,[status(thm)],[c_316,c_1586]) ).
tcf(c_2233,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_17,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_2192,c_76]) ).
tcf(c_2235,plain,
multiply(iPr_def_19,iPr_def_20) = sk_c7,
inference(superposition,[status(thm)],[c_319,c_1587]) ).
tcf(c_2238,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(iPr_def_20,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_2235,c_76]) ).
tcf(c_2419,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_591,c_1587]) ).
tcf(c_2420,plain,
( ( sk_c7 = iPr_def_21 )
| ( sk_c7 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_2419,c_2235]) ).
tcf(c_2439,plain,
( ( sk_c7 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c6 != iPr_def_13 )
| ( inverse(iPr_def_18) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_601,c_324]) ).
tcf(c_2507,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_617,c_1587]) ).
tcf(c_2508,plain,
( ( sk_c7 = iPr_def_21 )
| ( sk_c7 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_2507,c_2235]) ).
tcf(c_2598,plain,
( ( iPr_def_13 = iPr_def_16 )
| ( sk_c7 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1880,c_329]) ).
tcf(c_2743,plain,
( ( iPr_def_13 = iPr_def_16 )
| ( sk_c7 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1996,c_326]) ).
tcf(c_2836,plain,
( ( iPr_def_13 = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2598,c_319]) ).
tcf(c_2838,plain,
( ( iPr_def_13 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_19) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2598,c_316]) ).
tcf(c_2991,plain,
( ( iPr_def_13 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2743,c_316]) ).
tcf(c_2992,plain,
( ( iPr_def_13 = iPr_def_16 )
| ( inverse(iPr_def_15) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2743,c_313]) ).
tcf(c_3073,plain,
! [X0: $i,X1: $i] :
( ( X1 = multiply(sk_c6,sk_c7) )
| ( X1 != X0 )
| ( multiply(sk_c6,sk_c7) != X0 ) ),
inference(instantiation,[status(thm)],[c_348]) ).
tcf(c_3074,plain,
( ( sk_c7 = multiply(sk_c6,sk_c7) )
| ( sk_c7 != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_3073]) ).
tcf(c_3152,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1880,c_621]) ).
tcf(c_3283,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_792,c_1584]) ).
tcf(c_3284,plain,
( ( sk_c6 = iPr_def_20 )
| ( sk_c7 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_3283,c_1767]) ).
tcf(c_3320,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_795,c_1584]) ).
tcf(c_3321,plain,
( ( sk_c6 = iPr_def_16 )
| ( sk_c7 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_3320,c_1767]) ).
tcf(c_3344,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_797,c_1584]) ).
tcf(c_3345,plain,
( ( sk_c6 = iPr_def_16 )
| ( sk_c7 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_3344,c_1767]) ).
tcf(c_3516,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_13) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1880,c_830]) ).
tcf(c_3528,plain,
( ( sk_c7 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c7 != iPr_def_22 )
| ( inverse(iPr_def_21) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_830,c_325]) ).
tcf(c_3566,plain,
( ( sk_c7 = iPr_def_15 )
| ~ iPr_def_10
| ( sk_c7 != iPr_def_22 )
| ( inverse(iPr_def_21) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_831,c_325]) ).
tcf(c_4069,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_684,c_666]) ).
tcf(c_4073,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c7 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_4069,c_2192]) ).
tcf(c_4144,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_4073,c_891]) ).
tcf(c_4148,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_4073,c_655]) ).
tcf(c_4172,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c4 = identity ) ),
inference(light_normalisation,[status(thm)],[c_4144,c_2097]) ).
tcf(c_4382,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( identity = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4172,c_684]) ).
tcf(c_4499,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_19,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_729,c_691]) ).
tcf(c_4957,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_768,c_828]) ).
tcf(c_4958,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_696,c_828]) ).
tcf(c_4969,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c7 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_4957,c_2235]) ).
tcf(c_5020,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_4969,c_4073]) ).
tcf(c_5044,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_4969,c_891]) ).
tcf(c_5074,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c6 = identity ) ),
inference(light_normalisation,[status(thm)],[c_5044,c_2096]) ).
tcf(c_5368,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_5074,c_768]) ).
tcf(c_5369,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( identity = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_5074,c_696]) ).
tcf(c_5577,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_4382,c_5368]) ).
tcf(c_5918,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_5369,c_4382]) ).
tcf(c_6323,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_941,c_907]) ).
tcf(c_6328,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( sk_c7 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_6323,c_2192]) ).
tcf(c_6386,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_13 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_6328,c_893]) ).
tcf(c_6633,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6386,c_4148]) ).
tcf(c_7094,plain,
( ( sk_c7 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(iPr_def_14) != sk_c7 )
| ( multiply(iPr_def_21,identity) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_334,c_1350]) ).
tcf(c_7567,plain,
( ( sk_c7 = iPr_def_21 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_2439,c_1144,c_2508,c_3284]) ).
tcf(c_7575,plain,
( ( sk_c7 = iPr_def_19 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_3528,c_1220,c_2508,c_3321]) ).
tcf(c_7581,plain,
( ( sk_c7 = iPr_def_15 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_3566,c_1220,c_2420,c_3345]) ).
tcf(c_7643,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1060,c_1028]) ).
tcf(c_7655,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( sk_c7 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_7643,c_2235]) ).
tcf(c_7721,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_22 )
| ( multiply(iPr_def_14,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_7655,c_1585]) ).
tcf(c_7729,plain,
( ( iPr_def_19 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_7655,c_1015]) ).
tcf(c_7769,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_22 )
| ( multiply(sk_c6,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_7721,c_2170]) ).
tcf(c_7828,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( multiply(sk_c6,sk_c7) = sk_c7 ) ),
inference(instantiation,[status(thm)],[c_7769]) ).
tcf(c_7924,plain,
iPr_def_13 = iPr_def_22,
inference(global_subsumption_just,[status(thm)],[c_7729,c_353,c_312,c_346,c_865,c_1285,c_1632,c_1695,c_3074,c_7655,c_7828]) ).
tcf(c_7946,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_13 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_5918,c_7924]) ).
tcf(c_7947,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_5577,c_7924]) ).
tcf(c_7955,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( sk_c6 = identity ) ),
inference(demodulation,[status(thm)],[c_5074,c_7924]) ).
tcf(c_7956,plain,
( ( iPr_def_13 = iPr_def_18 )
| ( iPr_def_13 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_5020,c_7924]) ).
tcf(c_7987,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_835,c_7924]) ).
tcf(c_7995,plain,
multiply(iPr_def_14,iPr_def_13) = sk_c6,
inference(demodulation,[status(thm)],[c_2096,c_7924]) ).
tcf(c_7998,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_13 != iPr_def_14 )
| ( iPr_def_13 != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_1100,c_7924]) ).
tcf(c_8004,plain,
multiply(sk_c7,sk_c6) = iPr_def_13,
inference(demodulation,[status(thm)],[c_321,c_7924]) ).
tcf(c_8006,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( sk_c7 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_729,c_7924]) ).
tcf(c_8118,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_13 != iPr_def_14 ) ),
inference(equality_resolution_simp,[status(thm)],[c_7998]) ).
tcf(c_8147,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_13 )
| ( inverse(sk_c7) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_8004,c_325]) ).
tcf(c_8162,plain,
( ~ iPr_def_10
| ( sk_c6 != iPr_def_14 )
| ( sk_c7 != iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_8147,c_313]) ).
tcf(c_8382,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_7946,c_6633]) ).
tcf(c_8926,plain,
( ( iPr_def_13 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_7956,c_7946]) ).
tcf(c_9093,plain,
! [X0: $i] :
( ( multiply(X0,iPr_def_20) != sk_c7 )
| ( inverse(X0) != sk_c6 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_1209,c_1220,c_1213,c_1211]) ).
tcf(c_9094,plain,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,iPr_def_20) != sk_c7 ) ),
inference(renaming,[status(thm)],[c_9093]) ).
tcf(c_9107,plain,
( ~ iPr_def_10
| ( inverse(iPr_def_19) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_2235,c_9094]) ).
tcf(c_9627,plain,
( ( iPr_def_18 = iPr_def_20 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_1447,c_543,c_640,c_1220]) ).
tcf(c_10374,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_640,c_1456]) ).
tcf(c_10381,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( sk_c6 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_10374,c_1767]) ).
tcf(c_10470,plain,
( ( iPr_def_18 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_10381,c_543]) ).
tcf(c_10578,plain,
multiply(sk_c6,iPr_def_18) = multiply(iPr_def_13,sk_c4),
inference(superposition,[status(thm)],[c_317,c_1568]) ).
tcf(c_10580,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_13,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_583,c_1568]) ).
tcf(c_10834,plain,
multiply(sk_c2,iPr_def_13) = multiply(iPr_def_20,sk_c6),
inference(superposition,[status(thm)],[c_8004,c_1569]) ).
tcf(c_12012,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1574,c_74]) ).
tcf(c_12032,plain,
multiply(inverse(sk_c1),iPr_def_21) = sk_c6,
inference(superposition,[status(thm)],[c_320,c_12012]) ).
tcf(c_12033,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_74,c_12012]) ).
tcf(c_12034,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_75,c_12012]) ).
tcf(c_12074,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_1587,c_12012]) ).
tcf(c_12075,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1586,c_12012]) ).
tcf(c_12076,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_1585,c_12012]) ).
tcf(c_12078,plain,
multiply(inverse(iPr_def_16),sk_c6) = iPr_def_21,
inference(superposition,[status(thm)],[c_1767,c_12012]) ).
tcf(c_12094,plain,
multiply(inverse(sk_c6),multiply(iPr_def_13,sk_c4)) = iPr_def_18,
inference(superposition,[status(thm)],[c_10578,c_12012]) ).
tcf(c_12104,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_12012,c_12012]) ).
tcf(c_12539,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_12034,c_12104]) ).
tcf(c_12540,plain,
( ~ iPr_def_12
| ( sk_c7 != sk_c6 )
| ( inverse(iPr_def_14) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_1350,c_12539]) ).
tcf(c_12557,plain,
multiply(sk_c6,sk_c7) = multiply(iPr_def_13,identity),
inference(superposition,[status(thm)],[c_12539,c_1568]) ).
tcf(c_12565,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_12539,c_12033]) ).
tcf(c_12567,plain,
multiply(iPr_def_13,identity) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_12557,c_312]) ).
tcf(c_12819,plain,
multiply(sk_c4,identity) = multiply(iPr_def_14,iPr_def_18),
inference(superposition,[status(thm)],[c_12539,c_2182]) ).
tcf(c_12829,plain,
multiply(sk_c4,identity) = sk_c4,
inference(light_normalisation,[status(thm)],[c_12819,c_2097]) ).
tcf(c_12926,plain,
( ( sk_c7 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c6 != iPr_def_21 )
| ( inverse(iPr_def_14) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_7094,c_12539]) ).
tcf(c_12969,plain,
multiply(sk_c7,identity) = multiply(iPr_def_15,iPr_def_17),
inference(superposition,[status(thm)],[c_12539,c_2233]) ).
tcf(c_13006,plain,
multiply(sk_c7,identity) = multiply(iPr_def_19,iPr_def_20),
inference(superposition,[status(thm)],[c_12539,c_2238]) ).
tcf(c_13645,plain,
multiply(sk_c2,iPr_def_19) = identity,
inference(superposition,[status(thm)],[c_12074,c_75]) ).
tcf(c_13659,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_12074,c_12012]) ).
tcf(c_13662,plain,
multiply(sk_c2,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_12074,c_12539]) ).
tcf(c_13889,plain,
inverse(iPr_def_19) = sk_c2,
inference(demodulation,[status(thm)],[c_13662,c_12539]) ).
tcf(c_13892,plain,
( ~ iPr_def_10
| ( sk_c6 != sk_c2 ) ),
inference(demodulation,[status(thm)],[c_9107,c_13889]) ).
tcf(c_14497,plain,
( ( iPr_def_13 = iPr_def_16 )
| ( identity = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_2836,c_13645]) ).
tcf(c_14605,plain,
multiply(sk_c2,sk_c7) = iPr_def_20,
inference(superposition,[status(thm)],[c_2235,c_13659]) ).
tcf(c_15215,plain,
multiply(sk_c3,iPr_def_15) = identity,
inference(superposition,[status(thm)],[c_12075,c_75]) ).
tcf(c_15229,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_15,X0)) = X0,
inference(superposition,[status(thm)],[c_12075,c_12012]) ).
tcf(c_15232,plain,
multiply(sk_c3,identity) = inverse(iPr_def_15),
inference(superposition,[status(thm)],[c_12075,c_12539]) ).
tcf(c_15393,plain,
inverse(iPr_def_15) = sk_c3,
inference(demodulation,[status(thm)],[c_15232,c_12539]) ).
tcf(c_15396,plain,
( ( iPr_def_13 = iPr_def_16 )
| ( sk_c3 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_2992,c_15393]) ).
tcf(c_15412,plain,
multiply(sk_c3,sk_c7) = iPr_def_17,
inference(superposition,[status(thm)],[c_2192,c_15229]) ).
tcf(c_15990,plain,
( ( iPr_def_13 = iPr_def_16 )
| ( identity = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_2991,c_15215]) ).
tcf(c_16000,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_15990,c_14497]) ).
tcf(c_16216,plain,
( ( iPr_def_13 = iPr_def_16 )
| ( multiply(iPr_def_14,iPr_def_19) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_15396,c_2838]) ).
tcf(c_16296,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_13 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_16000,c_10470]) ).
tcf(c_16824,plain,
( ( iPr_def_13 = iPr_def_16 )
| ( multiply(iPr_def_14,iPr_def_17) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_16296,c_2097]) ).
tcf(c_16882,plain,
multiply(sk_c7,iPr_def_14) = identity,
inference(superposition,[status(thm)],[c_12076,c_75]) ).
tcf(c_16901,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_14,X0)) = X0,
inference(superposition,[status(thm)],[c_12076,c_12012]) ).
tcf(c_16906,plain,
multiply(sk_c7,identity) = inverse(iPr_def_14),
inference(superposition,[status(thm)],[c_12076,c_12539]) ).
tcf(c_17127,plain,
multiply(sk_c3,identity) = multiply(iPr_def_17,iPr_def_14),
inference(superposition,[status(thm)],[c_16882,c_1571]) ).
tcf(c_17128,plain,
multiply(sk_c2,identity) = multiply(iPr_def_20,iPr_def_14),
inference(superposition,[status(thm)],[c_16882,c_1569]) ).
tcf(c_17129,plain,
multiply(sk_c6,identity) = multiply(iPr_def_13,iPr_def_14),
inference(superposition,[status(thm)],[c_16882,c_1568]) ).
tcf(c_17130,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(superposition,[status(thm)],[c_16882,c_1585]) ).
tcf(c_17159,plain,
inverse(iPr_def_14) = sk_c7,
inference(demodulation,[status(thm)],[c_16906,c_12539]) ).
tcf(c_17166,plain,
( ( sk_c7 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c6 != iPr_def_21 )
| ( sk_c7 != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_12926,c_17159]) ).
tcf(c_17167,plain,
( ~ iPr_def_11
| ( sk_c6 != identity )
| ( sk_c7 != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_1127,c_17159]) ).
tcf(c_17168,plain,
( ~ iPr_def_11
| ( sk_c6 != identity ) ),
inference(equality_resolution_simp,[status(thm)],[c_17167]) ).
tcf(c_17171,plain,
( ( sk_c7 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c6 != iPr_def_21 ) ),
inference(equality_resolution_simp,[status(thm)],[c_17166]) ).
tcf(c_17856,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_7955,c_17168]) ).
tcf(c_17948,plain,
multiply(sk_c7,sk_c4) = iPr_def_18,
inference(superposition,[status(thm)],[c_2097,c_16901]) ).
tcf(c_18329,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( multiply(iPr_def_19,iPr_def_17) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_4499,c_7924]) ).
tcf(c_18341,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_8382,c_18329]) ).
tcf(c_18363,plain,
multiply(iPr_def_17,iPr_def_14) = sk_c3,
inference(demodulation,[status(thm)],[c_17127,c_12539]) ).
tcf(c_18364,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( multiply(iPr_def_13,iPr_def_14) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_8926,c_18363]) ).
tcf(c_18393,plain,
multiply(iPr_def_20,iPr_def_14) = sk_c2,
inference(demodulation,[status(thm)],[c_17128,c_12539]) ).
tcf(c_18396,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_14) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_7947,c_18393]) ).
tcf(c_18400,plain,
multiply(sk_c7,iPr_def_14) = multiply(iPr_def_19,sk_c2),
inference(superposition,[status(thm)],[c_18393,c_2238]) ).
tcf(c_18404,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( sk_c2 = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_18396,c_18363]) ).
tcf(c_18535,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(inverse(iPr_def_13),iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_3152,c_12012]) ).
tcf(c_18552,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_13) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_3516,c_7924]) ).
tcf(c_18563,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_14,iPr_def_13) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_18552,c_2103]) ).
tcf(c_18804,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_4958,c_7924]) ).
tcf(c_18818,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( multiply(iPr_def_19,iPr_def_15) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6633,c_18804]) ).
tcf(c_18823,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_18804,c_13659]) ).
tcf(c_18824,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( multiply(iPr_def_20,sk_c6) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_18823,c_10834]) ).
tcf(c_18972,plain,
multiply(iPr_def_13,iPr_def_14) = sk_c6,
inference(demodulation,[status(thm)],[c_17129,c_12539]) ).
tcf(c_18973,plain,
multiply(inverse(iPr_def_13),sk_c6) = iPr_def_14,
inference(superposition,[status(thm)],[c_18972,c_12012]) ).
tcf(c_18988,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(inverse(iPr_def_13),iPr_def_13) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1880,c_18973]) ).
tcf(c_18990,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(inverse(iPr_def_13),iPr_def_20) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_335,c_18973]) ).
tcf(c_18997,plain,
multiply(inverse(inverse(iPr_def_13)),iPr_def_14) = sk_c6,
inference(superposition,[status(thm)],[c_18973,c_12012]) ).
tcf(c_19164,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(inverse(inverse(iPr_def_13)),iPr_def_14) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_18990,c_12012]) ).
tcf(c_19189,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_19164,c_18997,c_18988,c_18972,c_18824,c_18818,c_18563,c_18535,c_18404,c_18400,c_18364,c_18341,c_17948,c_17856,c_17171,c_17168,c_17159,c_17130,c_17129,c_16906,c_16882,c_16824,c_16296,c_16216,c_15412,c_15215,c_14605,c_13892,c_13889,c_13645,c_13006,c_12969,c_12829,c_12819,c_12567,c_12557,c_12565,c_12540,c_12094,c_12078,c_12032,c_10834,c_10580,c_10578,c_9627,c_8162,c_8118,c_8006,c_8004,c_7995,c_7987,c_7581,c_7575,c_7567,c_1367,c_1220,c_1144,c_891,c_583,c_330,c_329,c_328,c_327,c_326,c_315,c_313]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP304-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.41 % Computer : n001.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Wed Sep 23 14:30:35 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/0.47 Running first-order theorem proving
% 0.16/0.48 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
% 0.16/0.49
% 0.16/0.49 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.49
% 0.16/0.49 % Detected problem language: tptp
% 0.24/0.51 % Proving...
% 6.39/2.39 % SZS status Started for theBenchmark.p
% 6.39/2.39 % SZS status Unsatisfiable for theBenchmark.p
% 6.39/2.39
% 6.39/2.39 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.39/2.39
% 6.39/2.39 % ------ iProver source info
% 6.39/2.39
% 6.39/2.39 % git: date: 2026-07-19 20:42:38 +0200
% 6.39/2.39 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.39/2.39 % git: non_committed_changes: false
% 6.39/2.39
% 6.39/2.39 % ------ Parsing...% successful
% 6.39/2.39
% 6.39/2.39
% 6.39/2.39 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.39/2.39
% 6.39/2.39 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 6.39/2.39
% 6.39/2.39 % ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.39/2.39
% 6.39/2.39 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 6.39/2.39 % ------ Proving...
% 6.39/2.39 % ------ Problem Properties
% 6.39/2.39
% 6.39/2.39 %
% 6.39/2.39 % clauses 38
% 6.39/2.39 % conjectures 25
% 6.39/2.39 % EPR 22
% 6.39/2.39 % Horn 17
% 6.39/2.39 % unary 14
% 6.39/2.39 % binary 20
% 6.39/2.39 % lits 68
% 6.39/2.39 % lits eq 62
% 6.39/2.39 % fd_pure 0
% 6.39/2.39 % fd_pseudo 0
% 6.39/2.39 % fd_cond 0
% 6.39/2.39 % fd_pseudo_cond 0
% 6.39/2.39 % AC symbols 0
% 6.39/2.39
% 6.39/2.39 % ------ Schedule dynamic 5 is on
% 6.39/2.39
% 6.39/2.39 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.39/2.39
% 6.39/2.39
% 6.39/2.39 % ------
% 6.39/2.39 % Current options:
% 6.39/2.39 % ------
% 6.39/2.39
% 6.39/2.39
% 6.39/2.39 %
% 6.39/2.39
% 6.39/2.39 % ------ Proving...
% 6.39/2.39 %
% 6.39/2.39
% 6.39/2.39 % SZS status Unsatisfiable for theBenchmark.p
% 6.39/2.39
% 6.39/2.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 11.08/2.40
% 11.08/2.40
%------------------------------------------------------------------------------