%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP231-1 : 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 : n020.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 01:32:04 PM UTC 2026
% Result : Unsatisfiable 9.37s 14.57s
% Output : CNFRefutation 9.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 41
% Syntax : Number of formulae : 436 ( 121 unt; 11 def)
% Number of atoms : 1642 ( 797 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 588 ( 153 ~; 435 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 98 ( 0 sgn 98 !; 0 ?; 71 :)
% 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,
( inverse(sk_c4) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c8 = inverse(sk_c4)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c8 = inverse(sk_c5)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c8 = inverse(sk_c4)
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = inverse(sk_c5)
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f37]) ).
fof(f45,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f47]) ).
fof(f53,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c3) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c3) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( inverse(X5) != sk_c8
| multiply(X5,sk_c8) != X4
| multiply(sk_c8,X4) != sk_c7
| multiply(X3,sk_c7) != sk_c8
| inverse(X3) != sk_c8
| multiply(X2,sk_c7) != sk_c8
| inverse(X2) != sk_c8
| multiply(X1,sk_c7) != sk_c8
| inverse(X0) != X1
| multiply(X0,X1) != sk_c8
| inverse(sk_c8) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4,X5] :
( sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4
| sk_c7 != multiply(sk_c8,X4)
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X2,sk_c7)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X1,sk_c7)
| inverse(X0) != X1
| multiply(X0,X1) != sk_c8
| inverse(sk_c8) != sk_c7 ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X2,X3,X0,X4,X5] :
( sk_c8 != inverse(X5)
| multiply(X5,sk_c8) != X4
| sk_c7 != multiply(sk_c8,X4)
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X2,sk_c7)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != multiply(X0,inverse(X0))
| inverse(sk_c8) != sk_c7 ),
inference(equality_resolution,[],[f66]) ).
fof(f68,plain,
! [X2,X3,X0,X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X2,sk_c7)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != multiply(X0,inverse(X0))
| inverse(sk_c8) != sk_c7 ),
inference(equality_resolution,[],[f67]) ).
tcf(c_83,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_84,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_86,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_87,negated_conjecture,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_88,negated_conjecture,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_89,negated_conjecture,
( ( inverse(sk_c8) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_90,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_91,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_92,negated_conjecture,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_93,negated_conjecture,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_94,negated_conjecture,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_96,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_98,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_99,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_100,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_101,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_102,negated_conjecture,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_106,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_110,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_111,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_112,negated_conjecture,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_113,negated_conjecture,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_114,negated_conjecture,
( ( multiply(sk_c3,sk_c7) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_115,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c3,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(sk_c8) != sk_c7 )
| ( inverse(X3) != sk_c8 )
| ( inverse(X2) != sk_c8 )
| ( inverse(X1) != sk_c8 )
| ( multiply(X2,sk_c7) != sk_c8 )
| ( multiply(X1,sk_c7) != sk_c8 )
| ( multiply(inverse(X0),sk_c7) != sk_c8 )
| ( multiply(X0,inverse(X0)) != sk_c8 )
| ( multiply(sk_c8,multiply(X3,sk_c8)) != sk_c7 ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_405,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_116]) ).
tcf(c_406,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(inverse(X0),sk_c7) != sk_c8 )
| ( multiply(X0,inverse(X0)) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_116]) ).
tcf(c_407,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_116]) ).
tcf(c_408,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_116]) ).
tcf(c_409,definition,
iPr_def_13 = inverse(sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_410,definition,
iPr_def_14 = multiply(sk_c3,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_411,definition,
iPr_def_15 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_412,definition,
iPr_def_16 = multiply(sk_c5,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_413,definition,
iPr_def_17 = multiply(sk_c8,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_414,definition,
iPr_def_18 = multiply(sk_c4,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_415,definition,
iPr_def_19 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_416,definition,
iPr_def_20 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_417,definition,
iPr_def_21 = multiply(sk_c2,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_418,definition,
iPr_def_22 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_419,definition,
iPr_def_23 = multiply(sk_c1,sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_420,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_13 != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_408,c_409]) ).
tcf(c_421,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_407]) ).
tcf(c_423,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( multiply(inverse(X0),sk_c7) != sk_c8 )
| ( multiply(X0,inverse(X0)) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_406]) ).
tcf(c_424,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_405]) ).
tcf(c_425,negated_conjecture,
( ( iPr_def_15 = sk_c8 )
| ( iPr_def_14 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_115,c_411,c_410]) ).
tcf(c_426,negated_conjecture,
( ( iPr_def_16 = sk_c6 )
| ( iPr_def_14 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_114,c_412]) ).
tcf(c_427,negated_conjecture,
( ( iPr_def_17 = sk_c7 )
| ( iPr_def_14 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_113,c_413]) ).
tcf(c_428,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_14 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_112,c_414]) ).
tcf(c_429,negated_conjecture,
( ( iPr_def_19 = sk_c8 )
| ( iPr_def_14 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_111,c_415]) ).
tcf(c_430,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_110,c_416]) ).
tcf(c_433,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_434,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_438,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_439,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_440,negated_conjecture,
( ( iPr_def_22 = sk_c2 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_100,c_418]) ).
tcf(c_441,negated_conjecture,
( ( iPr_def_22 = sk_c2 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_442,negated_conjecture,
( ( iPr_def_22 = sk_c2 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_443,negated_conjecture,
( ( iPr_def_22 = sk_c2 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_444,negated_conjecture,
( ( iPr_def_22 = sk_c2 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_445,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_95,c_419]) ).
tcf(c_446,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_447,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_448,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_449,negated_conjecture,
( ( iPr_def_23 = sk_c8 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_450,negated_conjecture,
( ( iPr_def_15 = sk_c8 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_451,negated_conjecture,
( ( iPr_def_16 = sk_c6 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_452,negated_conjecture,
( ( iPr_def_17 = sk_c7 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_453,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_454,negated_conjecture,
( ( iPr_def_19 = sk_c8 )
| ( iPr_def_13 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_456,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_683,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c8 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_425,c_428]) ).
tcf(c_693,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c8 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_429,c_428]) ).
tcf(c_694,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( sk_c8 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_429,c_425]) ).
tcf(c_723,plain,
( ( sk_c8 = iPr_def_14 )
| ( inverse(iPr_def_19) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_429,c_409]) ).
tcf(c_737,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_430,c_412]) ).
tcf(c_738,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_19) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_429,c_412]) ).
tcf(c_739,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_428,c_412]) ).
tcf(c_740,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_425,c_412]) ).
tcf(c_752,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_15,sk_c6) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_425,c_413]) ).
tcf(c_788,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_433,c_412]) ).
tcf(c_816,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_434,c_412]) ).
tcf(c_1006,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_427,c_414]) ).
tcf(c_1040,plain,
multiply(iPr_def_13,sk_c8) = identity,
inference(superposition,[status(thm)],[c_409,c_84]) ).
tcf(c_1041,plain,
multiply(iPr_def_19,sk_c4) = identity,
inference(superposition,[status(thm)],[c_415,c_84]) ).
tcf(c_1042,plain,
multiply(iPr_def_15,sk_c5) = identity,
inference(superposition,[status(thm)],[c_411,c_84]) ).
tcf(c_1043,plain,
multiply(iPr_def_22,sk_c1) = identity,
inference(superposition,[status(thm)],[c_418,c_84]) ).
tcf(c_1044,plain,
multiply(iPr_def_20,sk_c3) = identity,
inference(superposition,[status(thm)],[c_416,c_84]) ).
tcf(c_1049,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_440,c_419]) ).
tcf(c_1116,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_442,c_419]) ).
tcf(c_1126,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_443,c_419]) ).
tcf(c_1136,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_444,c_419]) ).
tcf(c_1163,plain,
( ( sk_c8 = iPr_def_15 )
| ( inverse(iPr_def_23) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_445,c_409]) ).
tcf(c_1164,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_445,c_430]) ).
tcf(c_1222,plain,
( ( sk_c8 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_446,c_413]) ).
tcf(c_1238,plain,
! [X0: $i,X1: $i] :
( ( X0 = identity )
| ( identity != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_456]) ).
tcf(c_1277,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c8 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_448,c_433]) ).
tcf(c_1349,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_449,c_434]) ).
tcf(c_1429,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_450,c_420]) ).
tcf(c_1456,plain,
( ( sk_c7 = iPr_def_13 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_451,c_413]) ).
tcf(c_1465,plain,
( ( sk_c7 = iPr_def_13 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_452,c_417]) ).
tcf(c_1524,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_453,c_420]) ).
tcf(c_1642,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_454,c_420]) ).
tcf(c_1710,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_18 )
| ( inverse(sk_c4) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_414,c_424]) ).
tcf(c_1712,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_14 )
| ( inverse(sk_c3) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_410,c_424]) ).
tcf(c_1726,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_20 )
| ( sk_c8 != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_1712,c_416]) ).
tcf(c_1733,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_19 )
| ( sk_c8 != iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_1710,c_415]) ).
tcf(c_1835,plain,
( ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(sk_c8,iPr_def_16) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_412,c_421]) ).
tcf(c_1857,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_15 )
| ( multiply(sk_c8,iPr_def_16) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_1835,c_411]) ).
tcf(c_2046,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c8 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_683,c_448]) ).
tcf(c_2047,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_683,c_445]) ).
tcf(c_2056,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( inverse(iPr_def_14) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_683,c_409]) ).
tcf(c_2176,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_693,c_449]) ).
tcf(c_2177,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c8 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_693,c_448]) ).
tcf(c_2187,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( inverse(iPr_def_14) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_693,c_409]) ).
tcf(c_2277,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_694,c_449]) ).
tcf(c_2279,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_694,c_445]) ).
tcf(c_2288,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( inverse(iPr_def_14) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_694,c_409]) ).
tcf(c_2620,plain,
! [X0: $i] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_412,c_85]) ).
tcf(c_2621,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_419,c_85]) ).
tcf(c_2625,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_84,c_85]) ).
tcf(c_2627,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(sk_c8,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1040,c_85]) ).
tcf(c_2628,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1041,c_85]) ).
tcf(c_2629,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1042,c_85]) ).
tcf(c_2630,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1043,c_85]) ).
tcf(c_2631,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1044,c_85]) ).
tcf(c_2636,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2631,c_83]) ).
tcf(c_2637,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2630,c_83]) ).
tcf(c_2638,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2629,c_83]) ).
tcf(c_2639,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2628,c_83]) ).
tcf(c_2640,plain,
! [X0: $i] : multiply(iPr_def_13,multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2627,c_83]) ).
tcf(c_3485,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1277,c_1164]) ).
tcf(c_3777,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_18 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1349,c_1277]) ).
tcf(c_3779,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1349,c_1164]) ).
tcf(c_4024,plain,
multiply(iPr_def_15,iPr_def_16) = sk_c8,
inference(superposition,[status(thm)],[c_412,c_2638]) ).
tcf(c_4027,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_16,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_4024,c_85]) ).
tcf(c_4044,plain,
multiply(iPr_def_19,iPr_def_18) = sk_c7,
inference(superposition,[status(thm)],[c_414,c_2639]) ).
tcf(c_4124,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_737,c_2638]) ).
tcf(c_4125,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c8 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_4124,c_4024]) ).
tcf(c_4136,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_738,c_2638]) ).
tcf(c_4137,plain,
( ( sk_c8 = iPr_def_19 )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_4136,c_4024]) ).
tcf(c_4198,plain,
multiply(iPr_def_13,iPr_def_17) = sk_c6,
inference(superposition,[status(thm)],[c_413,c_2640]) ).
tcf(c_4425,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_739,c_2638]) ).
tcf(c_4426,plain,
( ( sk_c8 = iPr_def_18 )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_4425,c_4024]) ).
tcf(c_4437,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_740,c_2638]) ).
tcf(c_4438,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_4437,c_4024]) ).
tcf(c_4511,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_426,c_752]) ).
tcf(c_4513,plain,
( ( sk_c8 = iPr_def_17 )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_4511,c_4024]) ).
tcf(c_4739,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_13,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_4513,c_1040]) ).
tcf(c_4764,plain,
( ( sk_c6 = identity )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_4739,c_4198]) ).
tcf(c_5659,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_788,c_2638]) ).
tcf(c_5660,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c8 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_5659,c_4024]) ).
tcf(c_5706,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_816,c_2638]) ).
tcf(c_5707,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c8 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_5706,c_4024]) ).
tcf(c_6727,plain,
( ( identity = iPr_def_16 )
| ( sk_c8 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4764,c_426]) ).
tcf(c_6784,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_450,c_420]) ).
tcf(c_7000,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_16 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_6727,c_445]) ).
tcf(c_7347,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_453,c_420]) ).
tcf(c_8024,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c8 = iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_6784,c_1429,c_1726,c_4125,c_4438]) ).
tcf(c_8061,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c8 = iPr_def_18 ) ),
inference(global_subsumption_just,[status(thm)],[c_7347,c_1524,c_1726,c_4426,c_5660]) ).
tcf(c_8110,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_454,c_420]) ).
tcf(c_9536,plain,
multiply(sk_c5,iPr_def_17) = multiply(iPr_def_16,sk_c6),
inference(superposition,[status(thm)],[c_413,c_2620]) ).
tcf(c_10544,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2047,c_2046]) ).
tcf(c_11022,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c8 = iPr_def_19 ) ),
inference(global_subsumption_just,[status(thm)],[c_8110,c_1642,c_1726,c_4137,c_5707]) ).
tcf(c_11132,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_10544,c_3485]) ).
tcf(c_11609,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2177,c_2176]) ).
tcf(c_11813,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_11609,c_3777]) ).
tcf(c_12705,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2279,c_2277]) ).
tcf(c_13371,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_12705,c_3779]) ).
tcf(c_13688,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2625,c_83]) ).
tcf(c_13729,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_83,c_13688]) ).
tcf(c_13730,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_84,c_13688]) ).
tcf(c_13731,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_85,c_13688]) ).
tcf(c_13868,plain,
! [X0: $i] : multiply(inverse(iPr_def_13),X0) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2640,c_13688]) ).
tcf(c_13869,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2639,c_13688]) ).
tcf(c_13870,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2638,c_13688]) ).
tcf(c_13871,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2637,c_13688]) ).
tcf(c_13872,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2636,c_13688]) ).
tcf(c_13897,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_13688,c_13688]) ).
tcf(c_14560,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_13730,c_13897]) ).
tcf(c_14579,plain,
multiply(sk_c8,identity) = multiply(iPr_def_15,iPr_def_16),
inference(superposition,[status(thm)],[c_14560,c_4027]) ).
tcf(c_14583,plain,
multiply(sk_c1,sk_c2) = multiply(iPr_def_23,identity),
inference(superposition,[status(thm)],[c_14560,c_2621]) ).
tcf(c_14589,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_14560,c_13729]) ).
tcf(c_14591,plain,
multiply(iPr_def_23,identity) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_14583,c_419]) ).
tcf(c_14631,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_20 ) ),
inference(global_subsumption_just,[status(thm)],[c_1726,c_1733,c_1726,c_4137,c_4426]) ).
tcf(c_14633,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_14631,c_1733,c_5660,c_5707,c_14631]) ).
tcf(c_14637,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c8 = iPr_def_15 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1429,c_14633]) ).
tcf(c_14638,plain,
( iPr_def_12
| iPr_def_11
| ( sk_c7 != iPr_def_13 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_420,c_14633]) ).
tcf(c_14767,plain,
multiply(sk_c8,iPr_def_13) = identity,
inference(superposition,[status(thm)],[c_13868,c_84]) ).
tcf(c_14770,plain,
! [X0: $i] : multiply(sk_c8,multiply(iPr_def_13,X0)) = X0,
inference(superposition,[status(thm)],[c_13868,c_13688]) ).
tcf(c_14771,plain,
multiply(sk_c8,identity) = inverse(iPr_def_13),
inference(superposition,[status(thm)],[c_13868,c_14560]) ).
tcf(c_14810,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_449,c_14767]) ).
tcf(c_14811,plain,
( ( sk_c8 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_448,c_14767]) ).
tcf(c_14812,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_13) = identity ) ),
inference(superposition,[status(thm)],[c_445,c_14767]) ).
tcf(c_14824,plain,
multiply(sk_c5,identity) = multiply(iPr_def_16,iPr_def_13),
inference(superposition,[status(thm)],[c_14767,c_2620]) ).
tcf(c_15112,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_14812,c_85]) ).
tcf(c_15118,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_13,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_15112,c_83]) ).
tcf(c_15308,plain,
inverse(iPr_def_13) = sk_c8,
inference(demodulation,[status(thm)],[c_14771,c_14560]) ).
tcf(c_15386,plain,
multiply(sk_c8,sk_c6) = iPr_def_17,
inference(superposition,[status(thm)],[c_4198,c_14770]) ).
tcf(c_15391,plain,
( ~ iPr_def_12
| ( sk_c8 != sk_c7 )
| ( inverse(iPr_def_13) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_14770,c_421]) ).
tcf(c_15482,plain,
( ~ iPr_def_12
| ( sk_c8 != sk_c7 ) ),
inference(ground_joinability,[status(thm)],[c_15391,c_15308]) ).
tcf(c_15730,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c8 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_454,c_15482]) ).
tcf(c_15731,plain,
( ( sk_c8 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c8 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_453,c_15482]) ).
tcf(c_15733,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c8 != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_450,c_15482]) ).
tcf(c_15734,plain,
( ( sk_c8 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c8 != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_447,c_15482]) ).
tcf(c_15795,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c8 = iPr_def_19 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_693,c_15730]) ).
tcf(c_15803,plain,
( ( sk_c8 = iPr_def_19 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_434,c_15730]) ).
tcf(c_15949,plain,
( ( sk_c8 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_433,c_15731]) ).
tcf(c_16301,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_12
| ( iPr_def_13 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_445,c_15733]) ).
tcf(c_16890,plain,
multiply(iPr_def_16,iPr_def_13) = sk_c5,
inference(demodulation,[status(thm)],[c_14824,c_14560]) ).
tcf(c_16892,plain,
multiply(inverse(iPr_def_16),sk_c5) = iPr_def_13,
inference(superposition,[status(thm)],[c_16890,c_13688]) ).
tcf(c_16900,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),multiply(sk_c5,X0)) = multiply(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_16892,c_85]) ).
tcf(c_17109,plain,
multiply(inverse(iPr_def_16),multiply(iPr_def_16,sk_c6)) = multiply(iPr_def_13,iPr_def_17),
inference(superposition,[status(thm)],[c_9536,c_16900]) ).
tcf(c_17116,plain,
multiply(inverse(iPr_def_16),multiply(iPr_def_16,sk_c6)) = sk_c6,
inference(light_normalisation,[status(thm)],[c_17109,c_4198]) ).
tcf(c_17232,plain,
multiply(sk_c4,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_13869,c_14560]) ).
tcf(c_17270,plain,
inverse(iPr_def_19) = sk_c4,
inference(demodulation,[status(thm)],[c_17232,c_14560]) ).
tcf(c_17275,plain,
( ( sk_c4 = iPr_def_13 )
| ( sk_c8 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_723,c_17270]) ).
tcf(c_17285,plain,
( ~ iPr_def_11
| ( multiply(iPr_def_19,sk_c4) != sk_c8 )
| ( multiply(inverse(iPr_def_19),sk_c7) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_17270,c_423]) ).
tcf(c_17287,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_18 )
| ( sk_c8 != identity ) ),
inference(light_normalisation,[status(thm)],[c_17285,c_414,c_1041,c_17270]) ).
tcf(c_17753,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_13,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_17275,c_1006]) ).
tcf(c_17763,plain,
( ( sk_c6 = iPr_def_18 )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_17753,c_4198]) ).
tcf(c_17841,plain,
( ( identity = iPr_def_18 )
| ( sk_c8 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_17763,c_4764]) ).
tcf(c_18757,plain,
multiply(sk_c5,iPr_def_15) = identity,
inference(superposition,[status(thm)],[c_13870,c_84]) ).
tcf(c_18761,plain,
multiply(sk_c5,identity) = inverse(iPr_def_15),
inference(superposition,[status(thm)],[c_13870,c_14560]) ).
tcf(c_18914,plain,
multiply(inverse(iPr_def_16),identity) = multiply(iPr_def_13,iPr_def_15),
inference(superposition,[status(thm)],[c_18757,c_16900]) ).
tcf(c_18918,plain,
inverse(iPr_def_15) = sk_c5,
inference(demodulation,[status(thm)],[c_18761,c_14560]) ).
tcf(c_20582,plain,
multiply(sk_c1,iPr_def_22) = identity,
inference(superposition,[status(thm)],[c_13871,c_84]) ).
tcf(c_20593,plain,
( ( identity = iPr_def_23 )
| ( sk_c8 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_1136,c_20582]) ).
tcf(c_20594,plain,
( ( identity = iPr_def_23 )
| ( sk_c8 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_1126,c_20582]) ).
tcf(c_20595,plain,
( ( identity = iPr_def_23 )
| ( sk_c7 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_1116,c_20582]) ).
tcf(c_20596,plain,
( ( identity = iPr_def_23 )
| ( sk_c8 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_1049,c_20582]) ).
tcf(c_23179,plain,
( ( identity = iPr_def_23 )
| ( inverse(iPr_def_19) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_20593,c_409]) ).
tcf(c_23183,plain,
( ( identity = iPr_def_23 )
| ( sk_c4 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_23179,c_17270]) ).
tcf(c_23355,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20594,c_20593]) ).
tcf(c_23630,plain,
( ( identity = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_20595,c_414]) ).
tcf(c_23761,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20596,c_20594]) ).
tcf(c_23762,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_20596,c_20593]) ).
tcf(c_23828,plain,
( ( identity = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_20596,c_412]) ).
tcf(c_23840,plain,
( ( identity = iPr_def_23 )
| ( identity = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_23828,c_18757]) ).
tcf(c_24147,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23355,c_14589]) ).
tcf(c_24149,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_19 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23355,c_83]) ).
tcf(c_24168,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23761,c_14589]) ).
tcf(c_24170,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23761,c_83]) ).
tcf(c_26038,plain,
( ( identity = iPr_def_16 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23840,c_14589]) ).
tcf(c_26284,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_23762,c_14589]) ).
tcf(c_26286,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_19 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23762,c_83]) ).
tcf(c_26404,plain,
multiply(sk_c3,identity) = inverse(iPr_def_20),
inference(superposition,[status(thm)],[c_13872,c_14560]) ).
tcf(c_31192,plain,
inverse(iPr_def_20) = sk_c3,
inference(demodulation,[status(thm)],[c_26404,c_14560]) ).
tcf(c_31203,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( inverse(iPr_def_14) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_13371,c_31192]) ).
tcf(c_31204,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( inverse(iPr_def_14) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_11813,c_31192]) ).
tcf(c_31205,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( inverse(iPr_def_14) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_11132,c_31192]) ).
tcf(c_31207,plain,
( ~ iPr_def_11
| ( multiply(iPr_def_20,sk_c3) != sk_c8 )
| ( multiply(inverse(iPr_def_20),sk_c7) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_31192,c_423]) ).
tcf(c_31215,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_14 )
| ( sk_c8 != identity ) ),
inference(light_normalisation,[status(thm)],[c_31207,c_410,c_1044,c_31192]) ).
tcf(c_33602,plain,
( ( identity = iPr_def_23 )
| ( multiply(iPr_def_13,iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23183,c_23630]) ).
tcf(c_33611,plain,
( ( identity = iPr_def_23 )
| ( sk_c6 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_33602,c_4198]) ).
tcf(c_33765,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( identity = iPr_def_23 )
| ( sk_c2 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_33611,c_441]) ).
tcf(c_33832,plain,
multiply(iPr_def_13,iPr_def_15) = inverse(iPr_def_16),
inference(demodulation,[status(thm)],[c_18914,c_14560]) ).
tcf(c_33847,plain,
multiply(sk_c8,inverse(iPr_def_16)) = iPr_def_15,
inference(superposition,[status(thm)],[c_33832,c_14770]) ).
tcf(c_34257,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( identity = iPr_def_13 )
| ( sk_c8 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_24149,c_14811]) ).
tcf(c_34258,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( identity = iPr_def_13 )
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_24149,c_14810]) ).
tcf(c_34385,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( identity = iPr_def_13 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24170,c_14812]) ).
tcf(c_34804,plain,
multiply(iPr_def_16,inverse(iPr_def_16)) = multiply(sk_c5,iPr_def_15),
inference(superposition,[status(thm)],[c_33847,c_2620]) ).
tcf(c_34807,plain,
multiply(iPr_def_16,inverse(iPr_def_16)) = identity,
inference(light_normalisation,[status(thm)],[c_34804,c_18757]) ).
tcf(c_34967,plain,
( ~ iPr_def_11
| ( sk_c8 != identity )
| ( multiply(inverse(iPr_def_16),sk_c7) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_34807,c_423]) ).
tcf(c_35509,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( identity = iPr_def_13 )
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_26286,c_14810]) ).
tcf(c_35884,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_3777,c_24147]) ).
tcf(c_35897,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c3 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_35884,c_31192]) ).
tcf(c_36022,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_3485,c_24168]) ).
tcf(c_36032,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c3 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_36022,c_31192]) ).
tcf(c_36635,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_16 )
| ( multiply(sk_c5,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_7000,c_412]) ).
tcf(c_36647,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_36635,c_18757]) ).
tcf(c_37318,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_16,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_36647,c_83]) ).
tcf(c_37565,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( identity = iPr_def_16 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26038,c_1163]) ).
tcf(c_37813,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_3779,c_26284]) ).
tcf(c_37827,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( sk_c3 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_37813,c_31192]) ).
tcf(c_38900,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c5 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_37318,c_16890]) ).
tcf(c_38967,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_13) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_38900,c_411]) ).
tcf(c_38968,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c8 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_38967,c_15308]) ).
tcf(c_39244,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c8 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_38968,c_1222]) ).
tcf(c_39333,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c8 = iPr_def_23 )
| ( sk_c8 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_39244,c_4024]) ).
tcf(c_39396,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( sk_c3 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_31203,c_2288]) ).
tcf(c_39424,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_39396,c_37827]) ).
tcf(c_40301,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( inverse(iPr_def_13) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_39424,c_31192]) ).
tcf(c_40308,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( sk_c8 = iPr_def_19 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_39424,c_15803]) ).
tcf(c_40331,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( sk_c8 = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_40301,c_15308]) ).
tcf(c_40953,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_40331,c_39396]) ).
tcf(c_40976,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( multiply(sk_c8,sk_c7) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_40331,c_410]) ).
tcf(c_46783,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c7) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_449,c_40976]) ).
tcf(c_47871,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c3 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_31204,c_2187]) ).
tcf(c_47911,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_47871,c_35897]) ).
tcf(c_48555,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( inverse(iPr_def_13) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_47911,c_31192]) ).
tcf(c_48561,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c8 = iPr_def_18 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_47911,c_15949]) ).
tcf(c_48568,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_47911,c_11813]) ).
tcf(c_48585,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c8 = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_48555,c_15308]) ).
tcf(c_50012,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_48585,c_47871]) ).
tcf(c_50191,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( identity = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_33765,c_419]) ).
tcf(c_50196,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( identity = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_50191,c_20582]) ).
tcf(c_51981,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_50196,c_14589]) ).
tcf(c_52375,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_21 )
| ( sk_c8 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_50012,c_439]) ).
tcf(c_52376,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_21 )
| ( sk_c8 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_50012,c_438]) ).
tcf(c_52573,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c3 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_31205,c_2056]) ).
tcf(c_52601,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_13 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_52573,c_36032]) ).
tcf(c_55655,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( inverse(iPr_def_13) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_52601,c_31192]) ).
tcf(c_55683,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c8 = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_55655,c_15308]) ).
tcf(c_56227,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_55683,c_52573]) ).
tcf(c_57138,plain,
! [X0: $i] :
( ( X0 = identity )
| ( identity != iPr_def_13 )
| ( X0 != iPr_def_13 ) ),
inference(instantiation,[status(thm)],[c_1238]) ).
tcf(c_57139,plain,
( ( sk_c8 = identity )
| ( identity != iPr_def_13 )
| ( sk_c8 != iPr_def_13 ) ),
inference(instantiation,[status(thm)],[c_57138]) ).
tcf(c_62556,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c8 = iPr_def_19 ) ),
inference(global_subsumption_just,[status(thm)],[c_52375,c_4137,c_8061,c_11022,c_15795,c_17287,c_31215,c_34258,c_34257,c_48568,c_48561,c_50012,c_57139]) ).
tcf(c_63070,plain,
( ( iPr_def_18 = iPr_def_19 )
| ( sk_c8 = iPr_def_18 ) ),
inference(global_subsumption_just,[status(thm)],[c_52376,c_4426,c_8061,c_31215,c_34257,c_48561,c_50012,c_57139]) ).
tcf(c_63150,plain,
iPr_def_18 = iPr_def_19,
inference(superposition,[status(thm)],[c_63070,c_62556]) ).
tcf(c_63321,plain,
inverse(iPr_def_18) = sk_c4,
inference(demodulation,[status(thm)],[c_17270,c_63150]) ).
tcf(c_63384,plain,
multiply(iPr_def_18,iPr_def_18) = sk_c7,
inference(demodulation,[status(thm)],[c_4044,c_63150]) ).
tcf(c_68398,plain,
( ( iPr_def_15 = iPr_def_19 )
| ( sk_c8 = iPr_def_19 ) ),
inference(global_subsumption_just,[status(thm)],[c_46783,c_4137,c_11022,c_31215,c_35509,c_40308,c_40953,c_57139]) ).
tcf(c_68400,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c8 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_68398,c_63150]) ).
tcf(c_68489,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_18 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68400,c_445]) ).
tcf(c_68621,plain,
( ( sk_c8 = iPr_def_15 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(global_subsumption_just,[status(thm)],[c_68489,c_683,c_8024,c_15733,c_31215,c_34385,c_56227,c_57139]) ).
tcf(c_68622,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c8 = iPr_def_15 ) ),
inference(renaming,[status(thm)],[c_68621]) ).
tcf(c_68676,plain,
iPr_def_15 = iPr_def_18,
inference(superposition,[status(thm)],[c_68622,c_68400]) ).
tcf(c_68757,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_51981,c_68676]) ).
tcf(c_68766,plain,
multiply(iPr_def_15,iPr_def_15) = sk_c7,
inference(demodulation,[status(thm)],[c_63384,c_68676]) ).
tcf(c_68770,plain,
inverse(iPr_def_15) = sk_c4,
inference(demodulation,[status(thm)],[c_63321,c_68676]) ).
tcf(c_68771,plain,
iPr_def_15 = iPr_def_19,
inference(demodulation,[status(thm)],[c_63150,c_68676]) ).
tcf(c_68823,plain,
( ( identity = iPr_def_15 )
| ( sk_c8 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_17841,c_68676]) ).
tcf(c_68956,plain,
sk_c4 = sk_c5,
inference(demodulation,[status(thm)],[c_18918,c_68770]) ).
tcf(c_68967,plain,
multiply(sk_c4,iPr_def_15) = identity,
inference(demodulation,[status(thm)],[c_18757,c_68956]) ).
tcf(c_68974,plain,
multiply(sk_c4,iPr_def_17) = multiply(iPr_def_16,sk_c6),
inference(demodulation,[status(thm)],[c_9536,c_68956]) ).
tcf(c_68980,plain,
multiply(iPr_def_15,sk_c4) = identity,
inference(demodulation,[status(thm)],[c_1042,c_68956]) ).
tcf(c_68981,plain,
multiply(sk_c4,sk_c8) = iPr_def_16,
inference(demodulation,[status(thm)],[c_412,c_68956]) ).
tcf(c_68982,plain,
inverse(sk_c4) = iPr_def_15,
inference(demodulation,[status(thm)],[c_411,c_68956]) ).
tcf(c_69049,plain,
( ~ iPr_def_11
| ( multiply(iPr_def_15,sk_c4) != sk_c8 )
| ( multiply(inverse(iPr_def_15),sk_c7) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_68770,c_423]) ).
tcf(c_69089,plain,
multiply(inverse(iPr_def_15),sk_c7) = iPr_def_15,
inference(superposition,[status(thm)],[c_68766,c_13688]) ).
tcf(c_69090,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_68766,c_85]) ).
tcf(c_69224,plain,
multiply(sk_c7,sk_c4) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_68980,c_69090]) ).
tcf(c_70389,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_21)) = sk_c7,
inference(superposition,[status(thm)],[c_417,c_13731]) ).
tcf(c_70418,plain,
! [X0: $i] :
( ( sk_c7 = iPr_def_13 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_21)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1465,c_13731]) ).
tcf(c_70423,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = sk_c8,
inference(superposition,[status(thm)],[c_1040,c_13731]) ).
tcf(c_70507,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,identity)) = iPr_def_15,
inference(superposition,[status(thm)],[c_68967,c_13731]) ).
tcf(c_70508,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = sk_c4,
inference(superposition,[status(thm)],[c_68980,c_13731]) ).
tcf(c_70525,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_15)),X0) = sk_c4,
inference(light_normalisation,[status(thm)],[c_70508,c_14560]) ).
tcf(c_70526,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),X0) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_70507,c_14560]) ).
tcf(c_70532,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_13)),X0) = sk_c8,
inference(light_normalisation,[status(thm)],[c_70423,c_14560]) ).
tcf(c_72899,plain,
multiply(inverse(multiply(inverse(iPr_def_21),sk_c2)),identity) = sk_c7,
inference(superposition,[status(thm)],[c_84,c_70389]) ).
tcf(c_73493,plain,
multiply(sk_c7,sk_c4) = iPr_def_15,
inference(demodulation,[status(thm)],[c_69224,c_14560]) ).
tcf(c_73503,plain,
( ( sk_c8 = iPr_def_23 )
| ( multiply(iPr_def_17,sk_c4) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_447,c_73493]) ).
tcf(c_73516,plain,
multiply(inverse(sk_c7),iPr_def_15) = sk_c4,
inference(superposition,[status(thm)],[c_73493,c_13688]) ).
tcf(c_73568,plain,
! [X0: $i] : multiply(inverse(sk_c7),multiply(iPr_def_15,X0)) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_73516,c_85]) ).
tcf(c_74337,plain,
inverse(multiply(inverse(iPr_def_21),sk_c2)) = sk_c7,
inference(demodulation,[status(thm)],[c_72899,c_14560]) ).
tcf(c_74345,plain,
multiply(sk_c7,multiply(inverse(iPr_def_21),sk_c2)) = identity,
inference(superposition,[status(thm)],[c_74337,c_84]) ).
tcf(c_74528,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_21),sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_450,c_74345]) ).
tcf(c_75733,plain,
multiply(inverse(sk_c7),iPr_def_15) = multiply(sk_c4,identity),
inference(superposition,[status(thm)],[c_14560,c_73568]) ).
tcf(c_75738,plain,
multiply(inverse(sk_c7),sk_c7) = multiply(sk_c4,iPr_def_15),
inference(superposition,[status(thm)],[c_68766,c_73568]) ).
tcf(c_76020,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( iPr_def_13 = iPr_def_23 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_68757,c_1163]) ).
tcf(c_77864,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(inverse(iPr_def_21),iPr_def_22)) = identity ) ),
inference(superposition,[status(thm)],[c_440,c_74528]) ).
tcf(c_78331,plain,
multiply(inverse(sk_c4),inverse(sk_c7)) = sk_c4,
inference(superposition,[status(thm)],[c_73516,c_70525]) ).
tcf(c_78349,plain,
multiply(iPr_def_15,inverse(sk_c7)) = sk_c4,
inference(light_normalisation,[status(thm)],[c_78331,c_68982]) ).
tcf(c_78475,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(inverse(sk_c7),X0)) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_78349,c_85]) ).
tcf(c_78481,plain,
multiply(sk_c7,inverse(sk_c7)) = multiply(iPr_def_15,sk_c4),
inference(superposition,[status(thm)],[c_78349,c_69090]) ).
tcf(c_78483,plain,
multiply(sk_c7,inverse(sk_c7)) = identity,
inference(light_normalisation,[status(thm)],[c_78481,c_68980]) ).
tcf(c_78622,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_13)),multiply(X0,identity)) = multiply(inverse(iPr_def_21),iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_77864,c_13731]) ).
tcf(c_78628,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(iPr_def_21),iPr_def_22) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_77864,c_15118]) ).
tcf(c_78648,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(iPr_def_21),iPr_def_22) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_78622,c_14560,c_70532]) ).
tcf(c_78681,plain,
( ~ iPr_def_11
| ( sk_c8 != identity ) ),
inference(global_subsumption_just,[status(thm)],[c_34967,c_4426,c_17287,c_31215]) ).
tcf(c_78705,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_11
| ( identity != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_445,c_78681]) ).
tcf(c_78708,plain,
( ( sk_c8 = iPr_def_14 )
| ~ iPr_def_11
| ( identity != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_425,c_78681]) ).
tcf(c_79079,plain,
multiply(sk_c4,sk_c7) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_84,c_78475]) ).
tcf(c_79081,plain,
multiply(iPr_def_15,inverse(sk_c7)) = multiply(sk_c4,identity),
inference(superposition,[status(thm)],[c_14560,c_78475]) ).
tcf(c_79082,plain,
multiply(sk_c4,iPr_def_15) = multiply(iPr_def_15,sk_c4),
inference(superposition,[status(thm)],[c_73516,c_78475]) ).
tcf(c_79300,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_78705,c_20596,c_78705]) ).
tcf(c_79306,plain,
( iPr_def_12
| ( sk_c8 = iPr_def_15 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_14637,c_79300]) ).
tcf(c_79328,plain,
( ( sk_c8 = iPr_def_15 )
| ( iPr_def_13 != iPr_def_23 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_16301,c_79306]) ).
tcf(c_79852,plain,
( ( sk_c8 = iPr_def_14 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_78708,c_68823,c_78708]) ).
tcf(c_80077,plain,
( ( sk_c8 = iPr_def_23 )
| ( multiply(inverse(iPr_def_15),iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_73503,c_70526]) ).
tcf(c_80094,plain,
( ~ iPr_def_12
| ( multiply(sk_c8,iPr_def_15) != sk_c7 )
| ( inverse(inverse(multiply(sk_c8,sk_c4))) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_70526,c_421]) ).
tcf(c_80109,plain,
( ( sk_c8 = iPr_def_23 )
| ( multiply(iPr_def_16,sk_c6) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_80077,c_68770,c_68974]) ).
tcf(c_80755,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_80109,c_80094,c_79852,c_79328,c_79306,c_79082,c_79081,c_79079,c_78648,c_78628,c_78483,c_78481,c_78349,c_76020,c_75738,c_75733,c_73493,c_70418,c_70389,c_69224,c_69089,c_69049,c_68974,c_68981,c_68771,c_68770,c_68766,c_68676,c_50196,c_39333,c_37565,c_20596,c_17116,c_17109,c_15734,c_15386,c_15308,c_14771,c_14638,c_14591,c_14579,c_14589,c_1857,c_1456,c_446,c_429,c_427,c_426,c_409]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP231-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/10.59 % Computer : n020.cluster.edu
% 0.09/10.59 % Model : x86_64 x86_64
% 0.09/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.59 % Memory : 8046.5625MB
% 0.09/10.59 % OS : Linux 6.8.0-71-generic
% 0.09/10.59 % CPULimit : 300
% 0.09/10.59 % WCLimit : 300
% 0.09/10.59 % DateTime : Wed Sep 23 14:13:45 UTC 2026
% 0.09/10.59 % CPUTime :
% 0.09/10.59 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/10.63 Running first-order theorem proving
% 0.16/10.63 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
% 0.16/10.64
% 0.16/10.64 % ======== iProver multi-core TPTP/SMT =========
% 0.16/10.64
% 0.16/10.64 % Detected problem language: tptp
% 0.16/10.66 % Proving...
% 9.37/14.57 % SZS status Started for theBenchmark.p
% 9.37/14.57 % SZS status Unsatisfiable for theBenchmark.p
% 9.37/14.57
% 9.37/14.57 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 9.37/14.57
% 9.37/14.57 % ------ iProver source info
% 9.37/14.57
% 9.37/14.57 % git: date: 2026-07-19 20:42:38 +0200
% 9.37/14.57 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 9.37/14.57 % git: non_committed_changes: false
% 9.37/14.57
% 9.37/14.57 % ------ Parsing...% successful
% 9.37/14.57
% 9.37/14.57
% 9.37/14.57 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 9.37/14.57
% 9.37/14.57 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 9.37/14.57
% 9.37/14.57 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 9.37/14.57
% 9.37/14.57 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 9.37/14.57 % ------ Proving...
% 9.37/14.57 % ------ Problem Properties
% 9.37/14.57
% 9.37/14.57 %
% 9.37/14.57 % clauses 48
% 9.37/14.57 % conjectures 34
% 9.37/14.57 % EPR 31
% 9.37/14.57 % Horn 17
% 9.37/14.57 % unary 14
% 9.37/14.57 % binary 30
% 9.37/14.57 % lits 87
% 9.37/14.57 % lits eq 81
% 9.37/14.57 % fd_pure 0
% 9.37/14.57 % fd_pseudo 0
% 9.37/14.57 % fd_cond 0
% 9.37/14.57 % fd_pseudo_cond 0
% 9.37/14.57 % AC symbols 0
% 9.37/14.57
% 9.37/14.57 % ------ Schedule dynamic 5 is on
% 9.37/14.57
% 9.37/14.57 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.37/14.57
% 9.37/14.57
% 9.37/14.57 % ------
% 9.37/14.57 % Current options:
% 9.37/14.57 % ------
% 9.37/14.57
% 9.37/14.57
% 9.37/14.57 %
% 9.37/14.57
% 9.37/14.57 % ------ Proving...
% 9.37/14.57 %
% 9.37/14.57
% 9.37/14.57 % SZS status Unsatisfiable for theBenchmark.p
% 9.37/14.57
% 9.37/14.57 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.37/14.58
% 9.37/14.58
%------------------------------------------------------------------------------