%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP309-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:32:48 PM UTC 2026
% Result : Unsatisfiable 2.04s 1.73s
% Output : CNFRefutation 2.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 37
% Syntax : Number of formulae : 333 ( 112 unt; 10 def)
% Number of atoms : 1254 ( 607 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 578 ( 219 ~; 359 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 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 : 86 ( 0 sgn 86 !; 0 ?; 69 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c7 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c4) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c6 = inverse(sk_c4)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c6
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c7 = inverse(sk_c3)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c7) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c6 = inverse(sk_c4)
| sk_c5 = inverse(sk_c7) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
multiply(sk_c5,sk_c6) = sk_c7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
sk_c7 = multiply(sk_c5,sk_c6),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c6
| multiply(sk_c7,sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c2) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c7,sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c7,sk_c2) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| multiply(sk_c7,sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c2) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c4) = sk_c6
| multiply(sk_c7,sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c7,sk_c2) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c2 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = inverse(sk_c3)
| sk_c2 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| multiply(sk_c1,sk_c7) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c2 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c4) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c6 = inverse(sk_c4)
| sk_c2 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
! [X2,X3,X0,X1] :
( inverse(X3) != sk_c6
| multiply(X3,sk_c6) != sk_c5
| inverse(X2) != sk_c7
| multiply(X2,sk_c7) != sk_c6
| inverse(X1) != sk_c7
| multiply(X1,sk_c7) != X0
| multiply(sk_c7,X0) != sk_c6
| multiply(sk_c5,sk_c6) != sk_c7
| inverse(sk_c7) != sk_c5
| multiply(sk_c7,sk_c6) != sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
! [X2,X3,X0,X1] :
( sk_c6 != inverse(X3)
| sk_c5 != multiply(X3,sk_c6)
| sk_c7 != inverse(X2)
| sk_c6 != multiply(X2,sk_c7)
| sk_c7 != inverse(X1)
| multiply(X1,sk_c7) != X0
| sk_c6 != multiply(sk_c7,X0)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c5 != inverse(sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(reorient_equations,[],[f47]) ).
fof(f49,plain,
! [X2,X3,X1] :
( sk_c6 != inverse(X3)
| sk_c5 != multiply(X3,sk_c6)
| sk_c7 != inverse(X2)
| sk_c6 != multiply(X2,sk_c7)
| sk_c7 != inverse(X1)
| sk_c6 != multiply(sk_c7,multiply(X1,sk_c7))
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c5 != inverse(sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 ),
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_c3,sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_78,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_79,negated_conjecture,
( ( multiply(sk_c4,sk_c6) = sk_c5 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_80,negated_conjecture,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_81,negated_conjecture,
( ( inverse(sk_c7) = sk_c5 )
| ( multiply(sk_c3,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_82,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_83,negated_conjecture,
( ( inverse(sk_c7) = sk_c5 )
| ( multiply(sk_c4,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_84,negated_conjecture,
( ( inverse(sk_c4) = sk_c6 )
| ( inverse(sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_85,negated_conjecture,
multiply(sk_c5,sk_c6) = sk_c7,
inference(cnf_transformation,[],[f22]) ).
tcf(c_86,negated_conjecture,
( ( multiply(sk_c3,sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c2) = sk_c6 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_87,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c7,sk_c2) = sk_c6 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_88,negated_conjecture,
( ( multiply(sk_c4,sk_c6) = sk_c5 )
| ( multiply(sk_c7,sk_c2) = sk_c6 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_89,negated_conjecture,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c7,sk_c2) = sk_c6 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_90,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = sk_c2 )
| ( multiply(sk_c3,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_91,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c2 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_92,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = sk_c2 )
| ( multiply(sk_c4,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c2 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c3,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_96,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c6 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_98,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(sk_c7) != sk_c5 )
| ( inverse(X2) != sk_c6 )
| ( inverse(X1) != sk_c7 )
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c5,sk_c6) != sk_c7 )
| ( multiply(sk_c7,sk_c6) != sk_c5 )
| ( multiply(X2,sk_c6) != sk_c5 )
| ( multiply(X1,sk_c7) != sk_c6 )
| ( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6 ) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(sk_c7) != sk_c5 )
| ( inverse(X2) != sk_c6 )
| ( inverse(X1) != sk_c7 )
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6 )
| ( multiply(X1,sk_c7) != sk_c6 )
| ( multiply(X2,sk_c6) != sk_c5 )
| ( multiply(sk_c7,sk_c6) != sk_c5 ) ),
inference(global_subsumption_just,[status(thm)],[c_98,c_85,c_98]) ).
tcf(c_104,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(sk_c7) != sk_c5 )
| ( inverse(X2) != sk_c6 )
| ( inverse(X1) != sk_c7 )
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c7,sk_c6) != sk_c5 )
| ( multiply(X2,sk_c6) != sk_c5 )
| ( multiply(X1,sk_c7) != sk_c6 )
| ( 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_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
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_c6 )
| ( multiply(X0,sk_c6) != sk_c5 ) ),
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_c7,sk_c6) != sk_c5 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_104]) ).
tcf(c_312,definition,
iPr_def_13 = multiply(sk_c7,sk_c6),
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_c4),
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_c4,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_317,definition,
iPr_def_18 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_318,definition,
iPr_def_19 = multiply(sk_c3,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_319,definition,
iPr_def_20 = multiply(sk_c1,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_320,definition,
iPr_def_21 = multiply(sk_c7,sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_321,definition,
iPr_def_22 = multiply(sk_c5,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_c6 )
| ( multiply(X0,sk_c6) != sk_c5 ) ),
inference(demodulation,[status(thm)],[c_309]) ).
tcf(c_325,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_308]) ).
tcf(c_326,negated_conjecture,
( ( iPr_def_16 = sk_c7 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_97,c_315,c_314]) ).
tcf(c_327,negated_conjecture,
( ( iPr_def_17 = sk_c5 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_96,c_316]) ).
tcf(c_328,negated_conjecture,
( ( iPr_def_18 = sk_c7 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_95,c_317]) ).
tcf(c_329,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_16 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_94,c_318]) ).
tcf(c_330,negated_conjecture,
( ( iPr_def_20 = sk_c2 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_93,c_319]) ).
tcf(c_331,negated_conjecture,
( ( iPr_def_20 = sk_c2 )
| ( iPr_def_17 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_332,negated_conjecture,
( ( iPr_def_20 = sk_c2 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_333,negated_conjecture,
( ( iPr_def_20 = sk_c2 )
| ( iPr_def_19 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_334,negated_conjecture,
( ( iPr_def_21 = sk_c6 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_89,c_320]) ).
tcf(c_335,negated_conjecture,
( ( iPr_def_21 = sk_c6 )
| ( iPr_def_17 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_336,negated_conjecture,
( ( iPr_def_21 = sk_c6 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_337,negated_conjecture,
( ( iPr_def_21 = sk_c6 )
| ( iPr_def_19 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_338,negated_conjecture,
iPr_def_22 = sk_c7,
inference(demodulation,[status(thm)],[c_85,c_321]) ).
tcf(c_339,negated_conjecture,
( ( iPr_def_15 = sk_c6 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_84]) ).
tcf(c_340,negated_conjecture,
( ( iPr_def_17 = sk_c5 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_83]) ).
tcf(c_341,negated_conjecture,
( ( iPr_def_18 = sk_c7 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_82]) ).
tcf(c_342,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_81]) ).
tcf(c_343,negated_conjecture,
( ( iPr_def_15 = sk_c6 )
| ( iPr_def_13 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_80]) ).
tcf(c_344,negated_conjecture,
( ( iPr_def_17 = sk_c5 )
| ( iPr_def_13 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_79]) ).
tcf(c_345,negated_conjecture,
( ( iPr_def_18 = sk_c7 )
| ( iPr_def_13 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_78]) ).
tcf(c_346,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_13 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_77]) ).
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_547,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c2 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_332,c_338]) ).
tcf(c_554,plain,
multiply(iPr_def_22,sk_c6) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_312,c_338]) ).
tcf(c_564,plain,
inverse(iPr_def_22) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_313,c_338]) ).
tcf(c_574,plain,
multiply(sk_c3,iPr_def_22) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_318,c_338]) ).
tcf(c_578,plain,
multiply(sk_c1,iPr_def_22) = iPr_def_20,
inference(light_normalisation,[status(thm)],[c_319,c_338]) ).
tcf(c_607,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c6 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_336,c_338]) ).
tcf(c_664,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c5 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_341,c_338]) ).
tcf(c_683,plain,
multiply(iPr_def_22,sk_c2) = iPr_def_21,
inference(light_normalisation,[status(thm)],[c_320,c_338]) ).
tcf(c_685,plain,
( ( sk_c6 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_333,c_683]) ).
tcf(c_687,plain,
( ( sk_c5 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_331,c_683]) ).
tcf(c_699,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_14,sk_c6) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_664,c_321]) ).
tcf(c_700,plain,
( ( sk_c5 = iPr_def_14 )
| ( multiply(iPr_def_17,sk_c6) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_340,c_321]) ).
tcf(c_701,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c6) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_339,c_321]) ).
tcf(c_702,plain,
( ( sk_c6 = iPr_def_21 )
| ( multiply(iPr_def_17,sk_c6) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_335,c_321]) ).
tcf(c_704,plain,
( ( sk_c6 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_337,c_321]) ).
tcf(c_729,plain,
! [X0: $i] :
( ( iPr_def_13 = sk_c5 )
| ( iPr_def_13 != X0 )
| ( sk_c5 != X0 ) ),
inference(instantiation,[status(thm)],[c_348]) ).
tcf(c_732,plain,
! [X0: $i,X1: $i] :
( ( sk_c5 = X0 )
| ( sk_c5 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_348]) ).
tcf(c_733,plain,
multiply(iPr_def_18,sk_c3) = identity,
inference(superposition,[status(thm)],[c_317,c_75]) ).
tcf(c_734,plain,
multiply(iPr_def_15,sk_c4) = identity,
inference(superposition,[status(thm)],[c_314,c_75]) ).
tcf(c_735,plain,
multiply(iPr_def_16,sk_c1) = identity,
inference(superposition,[status(thm)],[c_315,c_75]) ).
tcf(c_736,plain,
multiply(iPr_def_14,iPr_def_22) = identity,
inference(superposition,[status(thm)],[c_564,c_75]) ).
tcf(c_737,plain,
! [X0: $i] :
( ( sk_c5 = X0 )
| ( sk_c5 != sk_c5 )
| ( X0 != sk_c5 ) ),
inference(instantiation,[status(thm)],[c_732]) ).
tcf(c_738,plain,
sk_c5 = sk_c5,
inference(instantiation,[status(thm)],[c_347]) ).
tcf(c_746,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c5 )
| ( sk_c5 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_348]) ).
tcf(c_748,plain,
( ( sk_c5 = iPr_def_17 )
| ( iPr_def_17 != sk_c5 )
| ( sk_c5 != sk_c5 ) ),
inference(instantiation,[status(thm)],[c_737]) ).
tcf(c_757,plain,
( ( sk_c6 = iPr_def_19 )
| ( multiply(iPr_def_14,sk_c6) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_342,c_321]) ).
tcf(c_786,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( sk_c6 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_343,c_339]) ).
tcf(c_807,plain,
( ( sk_c5 = iPr_def_13 )
| ( iPr_def_13 != sk_c5 )
| ( sk_c5 != sk_c5 ) ),
inference(instantiation,[status(thm)],[c_737]) ).
tcf(c_823,plain,
( ( iPr_def_13 = iPr_def_17 )
| ( sk_c5 = iPr_def_13 )
| ( sk_c6 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_344,c_343]) ).
tcf(c_824,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c5 = iPr_def_13 )
| ( sk_c6 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_344,c_342]) ).
tcf(c_825,plain,
( ( sk_c5 = iPr_def_13 )
| ( multiply(iPr_def_17,sk_c6) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_344,c_321]) ).
tcf(c_849,plain,
! [X0: $i] :
( ( X0 = sk_c5 )
| ( sk_c5 != iPr_def_14 )
| ( X0 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_746]) ).
tcf(c_853,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c5 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_345,c_338]) ).
tcf(c_870,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_853,c_664]) ).
tcf(c_888,plain,
( ( iPr_def_13 = sk_c5 )
| ( iPr_def_13 != iPr_def_13 )
| ( sk_c5 != iPr_def_13 ) ),
inference(instantiation,[status(thm)],[c_729]) ).
tcf(c_904,plain,
( ( iPr_def_13 = iPr_def_17 )
| ( sk_c5 = iPr_def_13 )
| ( sk_c6 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_346,c_344]) ).
tcf(c_905,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( sk_c6 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_346,c_342]) ).
tcf(c_944,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c6 = iPr_def_19 )
| ( sk_c5 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_346,c_322]) ).
tcf(c_946,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c5 = iPr_def_13 )
| ( iPr_def_13 != iPr_def_17 )
| ( sk_c5 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_344,c_322]) ).
tcf(c_947,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c6 = iPr_def_15 )
| ( sk_c5 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_343,c_322]) ).
tcf(c_952,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c6 = iPr_def_21 )
| ( iPr_def_13 != iPr_def_17 )
| ( sk_c5 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_335,c_322]) ).
tcf(c_1022,plain,
( ~ iPr_def_11
| ( sk_c5 != iPr_def_17 )
| ( inverse(sk_c4) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_316,c_324]) ).
tcf(c_1024,plain,
( ~ iPr_def_11
| ( sk_c6 != sk_c5 )
| ( inverse(identity) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_74,c_324]) ).
tcf(c_1026,plain,
( ~ iPr_def_11
| ( sk_c5 != iPr_def_13 )
| ( inverse(iPr_def_22) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_554,c_324]) ).
tcf(c_1032,plain,
( ~ iPr_def_11
| ( sk_c5 != iPr_def_13 )
| ( sk_c6 != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_1026,c_564]) ).
tcf(c_1042,plain,
( ~ iPr_def_11
| ( sk_c5 != iPr_def_17 )
| ( sk_c6 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_1022,c_314]) ).
tcf(c_1081,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_14 )
| ( iPr_def_14 != X0 )
| ( iPr_def_13 != X0 ) ),
inference(instantiation,[status(thm)],[c_348]) ).
tcf(c_1086,plain,
( ( iPr_def_13 = sk_c5 )
| ( iPr_def_13 != iPr_def_17 )
| ( sk_c5 != iPr_def_17 ) ),
inference(instantiation,[status(thm)],[c_729]) ).
tcf(c_1094,plain,
( ( iPr_def_14 = sk_c5 )
| ( iPr_def_14 != iPr_def_14 )
| ( sk_c5 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_849]) ).
tcf(c_1095,plain,
iPr_def_14 = iPr_def_14,
inference(instantiation,[status(thm)],[c_347]) ).
tcf(c_1099,plain,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != iPr_def_22 )
| ( multiply(X0,iPr_def_22) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_325,c_338]) ).
tcf(c_1110,plain,
( ~ iPr_def_10
| ( sk_c6 != identity )
| ( inverse(inverse(iPr_def_22)) != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_75,c_1099]) ).
tcf(c_1111,plain,
( ~ iPr_def_10
| ( sk_c6 != iPr_def_19 )
| ( inverse(sk_c3) != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_574,c_1099]) ).
tcf(c_1122,plain,
( ~ iPr_def_10
| ( iPr_def_18 != iPr_def_22 )
| ( sk_c6 != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_1111,c_317]) ).
tcf(c_1135,plain,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != iPr_def_22 )
| ( multiply(iPr_def_22,multiply(X0,iPr_def_22)) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_323,c_338]) ).
tcf(c_1148,plain,
( ~ iPr_def_12
| ( inverse(sk_c3) != iPr_def_22 )
| ( multiply(iPr_def_22,iPr_def_19) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_574,c_1135]) ).
tcf(c_1159,plain,
( ~ iPr_def_12
| ( iPr_def_18 != iPr_def_22 )
| ( multiply(iPr_def_22,iPr_def_19) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_1148,c_317]) ).
tcf(c_1206,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_786,c_316]) ).
tcf(c_1257,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c6,X0)) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_316,c_76]) ).
tcf(c_1258,plain,
! [X0: $i] : multiply(sk_c5,multiply(sk_c6,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_321,c_76]) ).
tcf(c_1260,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_75,c_76]) ).
tcf(c_1262,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c6,X0)) = multiply(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_554,c_76]) ).
tcf(c_1264,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_574,c_76]) ).
tcf(c_1265,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_22,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_578,c_76]) ).
tcf(c_1267,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_733,c_76]) ).
tcf(c_1268,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_734,c_76]) ).
tcf(c_1269,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_735,c_76]) ).
tcf(c_1270,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(iPr_def_22,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_736,c_76]) ).
tcf(c_1272,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ( inverse(multiply(X0,X1)) != sk_c6 )
| ( multiply(X0,multiply(X1,sk_c6)) != sk_c5 ) ),
inference(superposition,[status(thm)],[c_76,c_324]) ).
tcf(c_1275,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(iPr_def_22,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1270,c_74]) ).
tcf(c_1276,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1269,c_74]) ).
tcf(c_1277,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1268,c_74]) ).
tcf(c_1278,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1267,c_74]) ).
tcf(c_1438,plain,
iPr_def_13 = iPr_def_13,
inference(instantiation,[status(thm)],[c_347]) ).
tcf(c_1453,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( inverse(iPr_def_18) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_870,c_564]) ).
tcf(c_1454,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( multiply(iPr_def_18,sk_c6) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_870,c_554]) ).
tcf(c_1513,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_19) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_905,c_554]) ).
tcf(c_1541,plain,
multiply(iPr_def_14,iPr_def_13) = sk_c6,
inference(superposition,[status(thm)],[c_554,c_1275]) ).
tcf(c_1542,plain,
multiply(iPr_def_14,iPr_def_21) = sk_c2,
inference(superposition,[status(thm)],[c_683,c_1275]) ).
tcf(c_1590,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(iPr_def_13,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_1541,c_76]) ).
tcf(c_1592,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(iPr_def_21,X0)) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_1542,c_76]) ).
tcf(c_1594,plain,
multiply(iPr_def_16,iPr_def_20) = iPr_def_22,
inference(superposition,[status(thm)],[c_578,c_1276]) ).
tcf(c_1848,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(iPr_def_20,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_1594,c_76]) ).
tcf(c_1861,plain,
multiply(iPr_def_15,iPr_def_17) = sk_c6,
inference(superposition,[status(thm)],[c_316,c_1277]) ).
tcf(c_1892,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_17,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_1861,c_76]) ).
tcf(c_1894,plain,
multiply(iPr_def_18,iPr_def_19) = iPr_def_22,
inference(superposition,[status(thm)],[c_574,c_1278]) ).
tcf(c_1900,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(iPr_def_19,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_1894,c_76]) ).
tcf(c_1970,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_334,c_701]) ).
tcf(c_1975,plain,
( ( sk_c2 = iPr_def_22 )
| ( sk_c6 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_1970,c_1542]) ).
tcf(c_2033,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( iPr_def_14 != sk_c5 )
| ( iPr_def_13 != sk_c5 ) ),
inference(instantiation,[status(thm)],[c_1081]) ).
tcf(c_2065,plain,
( ( sk_c6 = iPr_def_19 )
| ( multiply(iPr_def_13,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_346,c_704]) ).
tcf(c_2069,plain,
( ( sk_c6 = iPr_def_19 )
| ( multiply(iPr_def_14,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_342,c_704]) ).
tcf(c_2076,plain,
( ( sk_c2 = iPr_def_22 )
| ( sk_c6 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_2069,c_1542]) ).
tcf(c_2311,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c6 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1975,c_330]) ).
tcf(c_2363,plain,
( ( sk_c6 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2076,c_683]) ).
tcf(c_2364,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c6 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2076,c_333]) ).
tcf(c_2476,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_2364,c_2311]) ).
tcf(c_2478,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c5 = iPr_def_13 )
| ( multiply(iPr_def_17,iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2364,c_825]) ).
tcf(c_2481,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c6 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2364,c_702]) ).
tcf(c_2609,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( multiply(iPr_def_20,sk_c6) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2476,c_554]) ).
tcf(c_3033,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_607,c_699]) ).
tcf(c_3039,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( sk_c2 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_3033,c_1542]) ).
tcf(c_3081,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3039,c_547]) ).
tcf(c_3114,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(iPr_def_20,sk_c6) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3081,c_554]) ).
tcf(c_3273,plain,
( ( sk_c6 = iPr_def_15 )
| ( sk_c5 = iPr_def_13 ) ),
inference(global_subsumption_just,[status(thm)],[c_823,c_344,c_738,c_748,c_807,c_823,c_1086]) ).
tcf(c_3274,plain,
( ( sk_c5 = iPr_def_13 )
| ( sk_c6 = iPr_def_15 ) ),
inference(renaming,[status(thm)],[c_3273]) ).
tcf(c_3303,plain,
( ( sk_c6 = iPr_def_19 )
| ( sk_c5 = iPr_def_13 ) ),
inference(global_subsumption_just,[status(thm)],[c_824,c_344,c_738,c_748,c_807,c_904,c_1086]) ).
tcf(c_3304,plain,
( ( sk_c5 = iPr_def_13 )
| ( sk_c6 = iPr_def_19 ) ),
inference(renaming,[status(thm)],[c_3303]) ).
tcf(c_3818,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c6 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_342,c_944]) ).
tcf(c_3881,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c6 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_339,c_947]) ).
tcf(c_4056,plain,
multiply(sk_c3,iPr_def_13) = multiply(iPr_def_19,sk_c6),
inference(superposition,[status(thm)],[c_554,c_1264]) ).
tcf(c_4236,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1260,c_74]) ).
tcf(c_4248,plain,
multiply(inverse(sk_c5),iPr_def_22) = sk_c6,
inference(superposition,[status(thm)],[c_321,c_4236]) ).
tcf(c_4249,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_74,c_4236]) ).
tcf(c_4250,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_75,c_4236]) ).
tcf(c_4270,plain,
multiply(inverse(iPr_def_22),iPr_def_21) = sk_c2,
inference(superposition,[status(thm)],[c_683,c_4236]) ).
tcf(c_4304,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1278,c_4236]) ).
tcf(c_4305,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_1277,c_4236]) ).
tcf(c_4306,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1276,c_4236]) ).
tcf(c_4307,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),X0) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_1275,c_4236]) ).
tcf(c_4313,plain,
( ( sk_c6 = iPr_def_19 )
| ( multiply(inverse(iPr_def_13),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2065,c_4236]) ).
tcf(c_4316,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_4236,c_4236]) ).
tcf(c_4626,plain,
( ~ iPr_def_10
| ( inverse(inverse(sk_c5)) != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_4248,c_1099]) ).
tcf(c_4673,plain,
( ~ iPr_def_12
| ( inverse(inverse(identity)) != iPr_def_22 )
| ( multiply(iPr_def_22,iPr_def_22) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_4249,c_1135]) ).
tcf(c_4711,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_4250,c_4316]) ).
tcf(c_4719,plain,
multiply(iPr_def_13,identity) = multiply(iPr_def_22,sk_c6),
inference(superposition,[status(thm)],[c_4711,c_1262]) ).
tcf(c_4720,plain,
multiply(sk_c5,sk_c6) = multiply(iPr_def_22,identity),
inference(superposition,[status(thm)],[c_4711,c_1258]) ).
tcf(c_4721,plain,
multiply(sk_c4,sk_c6) = multiply(iPr_def_17,identity),
inference(superposition,[status(thm)],[c_4711,c_1257]) ).
tcf(c_4722,plain,
multiply(sk_c3,iPr_def_22) = multiply(iPr_def_19,identity),
inference(superposition,[status(thm)],[c_4711,c_1264]) ).
tcf(c_4727,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_4711,c_4249]) ).
tcf(c_4728,plain,
multiply(iPr_def_19,identity) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_4722,c_574]) ).
tcf(c_4729,plain,
multiply(iPr_def_17,identity) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_4721,c_316]) ).
tcf(c_4731,plain,
multiply(iPr_def_13,identity) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_4719,c_554]) ).
tcf(c_4735,plain,
multiply(sk_c1,iPr_def_13) = multiply(iPr_def_20,sk_c6),
inference(superposition,[status(thm)],[c_554,c_1265]) ).
tcf(c_4746,plain,
( ( sk_c6 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_21) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_685,c_1265]) ).
tcf(c_4748,plain,
multiply(sk_c1,iPr_def_22) = multiply(iPr_def_20,identity),
inference(superposition,[status(thm)],[c_4711,c_1265]) ).
tcf(c_4758,plain,
multiply(iPr_def_20,identity) = iPr_def_20,
inference(light_normalisation,[status(thm)],[c_4748,c_578]) ).
tcf(c_4810,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_4727,c_75]) ).
tcf(c_4816,plain,
( ~ iPr_def_11
| ( sk_c6 != identity )
| ( sk_c6 != sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_1024,c_4727]) ).
tcf(c_4834,plain,
( ( sk_c5 = iPr_def_13 )
| ~ iPr_def_11
| ( sk_c6 != iPr_def_17 )
| ( sk_c6 != identity ) ),
inference(superposition,[status(thm)],[c_344,c_4816]) ).
tcf(c_4836,plain,
( ( sk_c6 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c6 != iPr_def_14 )
| ( sk_c6 != identity ) ),
inference(superposition,[status(thm)],[c_342,c_4816]) ).
tcf(c_5405,plain,
( ( sk_c5 = iPr_def_13 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_4834,c_344,c_738,c_748,c_807,c_1042,c_3274]) ).
tcf(c_5434,plain,
( ( sk_c6 != iPr_def_14 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_4836,c_344,c_738,c_748,c_807,c_1042,c_1032,c_3274]) ).
tcf(c_5435,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_14 ) ),
inference(renaming,[status(thm)],[c_5434]) ).
tcf(c_5794,plain,
( ( iPr_def_13 != iPr_def_17 )
| ( sk_c5 = iPr_def_13 ) ),
inference(global_subsumption_just,[status(thm)],[c_946,c_344,c_738,c_748,c_807,c_1086]) ).
tcf(c_5795,plain,
( ( sk_c5 = iPr_def_13 )
| ( iPr_def_13 != iPr_def_17 ) ),
inference(renaming,[status(thm)],[c_5794]) ).
tcf(c_5839,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_19) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_905,c_1454]) ).
tcf(c_5848,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ iPr_def_11
| ( sk_c5 != iPr_def_13 )
| ( inverse(iPr_def_18) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_1454,c_324]) ).
tcf(c_5849,plain,
( ( iPr_def_13 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_5839,c_1894]) ).
tcf(c_5886,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c5 != iPr_def_14 )
| ( iPr_def_13 != iPr_def_17 ) ),
inference(global_subsumption_just,[status(thm)],[c_952,c_322,c_888,c_1094,c_1095,c_1438,c_5795]) ).
tcf(c_5887,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_13 != iPr_def_17 )
| ( sk_c5 != iPr_def_14 ) ),
inference(renaming,[status(thm)],[c_5886]) ).
tcf(c_5910,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c5 = iPr_def_14 )
| ( iPr_def_14 != iPr_def_17 )
| ( iPr_def_13 != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_340,c_5887]) ).
tcf(c_6052,plain,
multiply(sk_c6,identity) = multiply(iPr_def_14,iPr_def_13),
inference(superposition,[status(thm)],[c_4711,c_1590]) ).
tcf(c_6055,plain,
multiply(sk_c6,identity) = sk_c6,
inference(light_normalisation,[status(thm)],[c_6052,c_1541]) ).
tcf(c_6120,plain,
multiply(sk_c2,identity) = multiply(iPr_def_14,iPr_def_21),
inference(superposition,[status(thm)],[c_4711,c_1592]) ).
tcf(c_6123,plain,
multiply(sk_c2,identity) = sk_c2,
inference(light_normalisation,[status(thm)],[c_6120,c_1542]) ).
tcf(c_6160,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( multiply(iPr_def_14,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_5849,c_736]) ).
tcf(c_6164,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( inverse(iPr_def_13) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_5849,c_564]) ).
tcf(c_6181,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( sk_c6 = identity ) ),
inference(light_normalisation,[status(thm)],[c_6160,c_1541]) ).
tcf(c_6352,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( sk_c5 = iPr_def_14 )
| ( multiply(iPr_def_17,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_6181,c_700]) ).
tcf(c_6353,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( identity = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_6181,c_905]) ).
tcf(c_6362,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( multiply(iPr_def_22,identity) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6181,c_554]) ).
tcf(c_6581,plain,
multiply(iPr_def_16,iPr_def_20) = multiply(iPr_def_22,identity),
inference(superposition,[status(thm)],[c_4711,c_1848]) ).
tcf(c_6597,plain,
multiply(sk_c6,identity) = multiply(iPr_def_15,iPr_def_17),
inference(superposition,[status(thm)],[c_4711,c_1892]) ).
tcf(c_6662,plain,
multiply(iPr_def_18,iPr_def_19) = multiply(iPr_def_22,identity),
inference(superposition,[status(thm)],[c_4711,c_1900]) ).
tcf(c_6719,plain,
multiply(sk_c3,iPr_def_18) = identity,
inference(superposition,[status(thm)],[c_4304,c_75]) ).
tcf(c_6724,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_18)) != iPr_def_22 )
| ( multiply(sk_c3,iPr_def_22) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_4304,c_1099]) ).
tcf(c_6726,plain,
multiply(sk_c3,identity) = inverse(iPr_def_18),
inference(superposition,[status(thm)],[c_4304,c_4711]) ).
tcf(c_6733,plain,
( ~ iPr_def_10
| ( sk_c6 != iPr_def_19 )
| ( inverse(inverse(iPr_def_18)) != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_6724,c_574]) ).
tcf(c_6774,plain,
inverse(iPr_def_18) = sk_c3,
inference(demodulation,[status(thm)],[c_6726,c_4711]) ).
tcf(c_6777,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( sk_c3 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_1453,c_6774]) ).
tcf(c_6880,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_5848,c_340,c_738,c_748,c_786,c_888,c_1042,c_1438,c_2033,c_5405]) ).
tcf(c_6888,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_13 != iPr_def_17 )
| ( iPr_def_14 != iPr_def_17 ) ),
inference(global_subsumption_just,[status(thm)],[c_5910,c_5887,c_5910]) ).
tcf(c_6889,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 != iPr_def_17 )
| ( iPr_def_13 != iPr_def_17 ) ),
inference(renaming,[status(thm)],[c_6888]) ).
tcf(c_7091,plain,
( ( sk_c6 = iPr_def_19 )
| ( multiply(inverse(iPr_def_22),iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2363,c_4236]) ).
tcf(c_7215,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( multiply(iPr_def_14,iPr_def_13) = multiply(iPr_def_19,sk_c6) ) ),
inference(superposition,[status(thm)],[c_6777,c_4056]) ).
tcf(c_7271,plain,
multiply(sk_c4,iPr_def_15) = identity,
inference(superposition,[status(thm)],[c_4305,c_75]) ).
tcf(c_7274,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_15)) != sk_c6 )
| ( multiply(sk_c4,sk_c6) != sk_c5 ) ),
inference(superposition,[status(thm)],[c_4305,c_324]) ).
tcf(c_7277,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_15,X0)) = X0,
inference(superposition,[status(thm)],[c_4305,c_4236]) ).
tcf(c_7278,plain,
multiply(sk_c4,identity) = inverse(iPr_def_15),
inference(superposition,[status(thm)],[c_4305,c_4711]) ).
tcf(c_7282,plain,
( ~ iPr_def_11
| ( sk_c5 != iPr_def_17 )
| ( inverse(inverse(iPr_def_15)) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_7274,c_316]) ).
tcf(c_7289,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( identity = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_1206,c_7271]) ).
tcf(c_7761,plain,
( ~ iPr_def_11
| ( multiply(iPr_def_22,sk_c6) != sk_c5 )
| ( inverse(multiply(iPr_def_18,iPr_def_19)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_1900,c_1272]) ).
tcf(c_8064,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(superposition,[status(thm)],[c_7271,c_1277]) ).
tcf(c_8081,plain,
( ( iPr_def_17 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_7289,c_6353]) ).
tcf(c_8199,plain,
inverse(iPr_def_15) = sk_c4,
inference(demodulation,[status(thm)],[c_7278,c_4711]) ).
tcf(c_8203,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm)],[c_734,c_7277]) ).
tcf(c_8204,plain,
multiply(sk_c4,sk_c6) = iPr_def_17,
inference(superposition,[status(thm)],[c_1861,c_7277]) ).
tcf(c_8817,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_8081,c_1513]) ).
tcf(c_9057,plain,
multiply(sk_c1,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_4306,c_75]) ).
tcf(c_9073,plain,
multiply(sk_c1,identity) = inverse(iPr_def_16),
inference(superposition,[status(thm)],[c_4306,c_4711]) ).
tcf(c_9208,plain,
( ( sk_c6 = iPr_def_19 )
| ~ iPr_def_10
| ( inverse(inverse(iPr_def_13)) != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_346,c_4626]) ).
tcf(c_9209,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_10
| ( inverse(inverse(iPr_def_13)) != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_853,c_4626]) ).
tcf(c_9212,plain,
( ( sk_c6 = iPr_def_19 )
| ~ iPr_def_10
| ( inverse(inverse(iPr_def_14)) != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_342,c_4626]) ).
tcf(c_9213,plain,
( ( iPr_def_18 = iPr_def_22 )
| ~ iPr_def_10
| ( inverse(inverse(iPr_def_14)) != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_664,c_4626]) ).
tcf(c_9327,plain,
( ( inverse(inverse(iPr_def_13)) != iPr_def_22 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_9208,c_1122,c_9209,c_9208]) ).
tcf(c_9328,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_13)) != iPr_def_22 ) ),
inference(renaming,[status(thm)],[c_9327]) ).
tcf(c_9333,plain,
( ( iPr_def_13 = iPr_def_14 )
| ~ iPr_def_10
| ( inverse(iPr_def_14) != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_6164,c_9328]) ).
tcf(c_9416,plain,
inverse(iPr_def_16) = sk_c1,
inference(demodulation,[status(thm)],[c_9073,c_4711]) ).
tcf(c_9569,plain,
( ( inverse(inverse(iPr_def_14)) != iPr_def_22 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_9212,c_1122,c_9213,c_9212]) ).
tcf(c_9570,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_14)) != iPr_def_22 ) ),
inference(renaming,[status(thm)],[c_9569]) ).
tcf(c_9929,plain,
multiply(iPr_def_22,iPr_def_14) = identity,
inference(superposition,[status(thm)],[c_4307,c_75]) ).
tcf(c_9942,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(iPr_def_14,X0)) = X0,
inference(superposition,[status(thm)],[c_4307,c_4236]) ).
tcf(c_9945,plain,
multiply(iPr_def_22,identity) = inverse(iPr_def_14),
inference(superposition,[status(thm)],[c_4307,c_4711]) ).
tcf(c_10055,plain,
multiply(sk_c1,identity) = multiply(iPr_def_20,iPr_def_14),
inference(superposition,[status(thm)],[c_9929,c_1265]) ).
tcf(c_10056,plain,
multiply(sk_c3,identity) = multiply(iPr_def_19,iPr_def_14),
inference(superposition,[status(thm)],[c_9929,c_1264]) ).
tcf(c_10057,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(superposition,[status(thm)],[c_9929,c_1275]) ).
tcf(c_10087,plain,
inverse(iPr_def_14) = iPr_def_22,
inference(demodulation,[status(thm)],[c_9945,c_4711]) ).
tcf(c_10091,plain,
( ~ iPr_def_10
| ( inverse(iPr_def_22) != iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_9570,c_10087]) ).
tcf(c_10097,plain,
( ~ iPr_def_10
| ( iPr_def_14 != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_10091,c_564]) ).
tcf(c_10221,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( multiply(inverse(iPr_def_20),iPr_def_13) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_2609,c_4236]) ).
tcf(c_10474,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( multiply(inverse(iPr_def_20),iPr_def_13) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_3114,c_4236]) ).
tcf(c_10527,plain,
( ( sk_c6 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_22) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_757,c_9942]) ).
tcf(c_10709,plain,
multiply(iPr_def_20,iPr_def_14) = sk_c1,
inference(demodulation,[status(thm)],[c_10055,c_4711]) ).
tcf(c_11136,plain,
multiply(iPr_def_19,iPr_def_14) = sk_c3,
inference(demodulation,[status(thm)],[c_10056,c_4711]) ).
tcf(c_11256,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_11136,c_10709,c_10527,c_10474,c_10221,c_10097,c_10087,c_10057,c_9945,c_9929,c_9416,c_9333,c_9057,c_8817,c_8204,c_8203,c_8199,c_8081,c_8064,c_7761,c_7289,c_7282,c_7274,c_7271,c_7215,c_7091,c_6889,c_6880,c_6774,c_6733,c_6719,c_6662,c_6597,c_6581,c_6362,c_6352,c_6123,c_6120,c_6055,c_6052,c_5887,c_5795,c_5435,c_4758,c_4748,c_4746,c_4735,c_4731,c_4729,c_4728,c_4722,c_4720,c_4719,c_4727,c_4673,c_4313,c_4270,c_3881,c_3818,c_3304,c_2481,c_2478,c_2364,c_1513,c_4810,c_1159,c_1110,c_905,c_870,c_687,c_685,c_564,c_338,c_329,c_328,c_327,c_326,c_317,c_314]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP309-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.36 % Computer : n001.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Wed Sep 23 14:31:36 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.39 Running first-order theorem proving
% 0.15/0.39 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.40
% 0.15/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.40
% 0.15/0.40 % Detected problem language: tptp
% 0.15/0.41 % Proving...
% 2.04/1.73 % SZS status Started for theBenchmark.p
% 2.04/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 2.04/1.73
% 2.04/1.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.04/1.73
% 2.04/1.73 % ------ iProver source info
% 2.04/1.73
% 2.04/1.73 % git: date: 2026-07-19 20:42:38 +0200
% 2.04/1.73 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.04/1.73 % git: non_committed_changes: false
% 2.04/1.73
% 2.04/1.73 % ------ Parsing...% successful
% 2.04/1.73
% 2.04/1.73
% 2.04/1.73 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.04/1.73
% 2.04/1.73 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.04/1.73
% 2.04/1.73 % ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.04/1.73
% 2.04/1.73 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.04/1.73 % ------ Proving...
% 2.04/1.73 % ------ Problem Properties
% 2.04/1.73
% 2.04/1.73 %
% 2.04/1.73 % clauses 38
% 2.04/1.73 % conjectures 25
% 2.04/1.73 % EPR 22
% 2.04/1.73 % Horn 17
% 2.04/1.73 % unary 14
% 2.04/1.73 % binary 20
% 2.04/1.73 % lits 68
% 2.04/1.73 % lits eq 62
% 2.04/1.73 % fd_pure 0
% 2.04/1.73 % fd_pseudo 0
% 2.04/1.73 % fd_cond 0
% 2.04/1.73 % fd_pseudo_cond 0
% 2.04/1.73 % AC symbols 0
% 2.04/1.73
% 2.04/1.73 % ------ Schedule dynamic 5 is on
% 2.04/1.73
% 2.04/1.73 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.04/1.73
% 2.04/1.73
% 2.04/1.73 % ------
% 2.04/1.73 % Current options:
% 2.04/1.73 % ------
% 2.04/1.73
% 2.04/1.73
% 2.04/1.73 %
% 2.04/1.73
% 2.04/1.73 % ------ Proving...
% 2.04/1.73 %
% 2.04/1.73
% 2.04/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 2.04/1.73
% 2.04/1.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.04/1.73
% 2.04/1.73
%------------------------------------------------------------------------------