%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP323-1 : 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 : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:32:50 PM UTC 2026
% Result : Unsatisfiable 10.64s 7.95s
% Output : CNFRefutation 10.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 43
% Syntax : Number of formulae : 317 ( 106 unt; 11 def)
% Number of atoms : 1032 ( 574 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 495 ( 169 ~; 326 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 84 ( 0 sgn 84 !; 0 ?; 64 :)
% 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_c8,sk_c7) = sk_c6
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c7) = 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_c7) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c7) = 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_c7) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = inverse(sk_c5)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f33]) ).
fof(f37,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f37]) ).
fof(f41,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c8,sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c8,sk_c3) ),
inference(reorient_equations,[],[f43]) ).
fof(f47,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f47]) ).
fof(f51,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c8) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c8 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c8) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c7
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c2) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( inverse(X4) != sk_c8
| multiply(X4,sk_c8) != sk_c6
| inverse(X3) != sk_c8
| multiply(X3,sk_c8) != sk_c7
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(X2) != sk_c8
| multiply(X2,sk_c8) != X1
| multiply(sk_c8,X1) != sk_c7
| inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4] :
( sk_c8 != inverse(X4)
| sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c8 != inverse(X2)
| multiply(X2,sk_c8) != X1
| sk_c7 != multiply(sk_c8,X1)
| inverse(X0) != sk_c7
| sk_c8 != multiply(X0,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X2,X3,X0,X4] :
( sk_c8 != inverse(X4)
| sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| sk_c6 != multiply(sk_c8,sk_c7)
| sk_c8 != inverse(X2)
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| inverse(X0) != sk_c7
| sk_c8 != multiply(X0,sk_c7)
| multiply(sk_c7,sk_c8) != sk_c6 ),
inference(equality_resolution,[],[f66]) ).
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,
( ( multiply(sk_c8,sk_c7) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_87,negated_conjecture,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_88,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_89,negated_conjecture,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_90,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_91,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_92,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_94,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = 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_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_96,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_98,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_99,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_100,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_102,negated_conjecture,
( ( multiply(sk_c4,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_104,negated_conjecture,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_105,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c8,sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_107,negated_conjecture,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_109,negated_conjecture,
( ( multiply(sk_c2,sk_c8) = sk_c3 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_110,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c3 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_111,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c8,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_112,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_113,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_114,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_115,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(X3) != sk_c8 )
| ( inverse(X2) != sk_c8 )
| ( inverse(X1) != sk_c8 )
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c8) != sk_c6 )
| ( multiply(X3,sk_c8) != sk_c6 )
| ( multiply(X2,sk_c8) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c8 )
| ( multiply(sk_c8,multiply(X1,sk_c8)) != sk_c7 ) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_409,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_116]) ).
tcf(c_410,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_116]) ).
tcf(c_411,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_116]) ).
tcf(c_412,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_116]) ).
tcf(c_413,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( multiply(sk_c8,sk_c7) != sk_c6 )
| ( multiply(sk_c7,sk_c8) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_116]) ).
tcf(c_414,definition,
iPr_def_14 = multiply(sk_c7,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_415,definition,
iPr_def_15 = multiply(sk_c8,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_416,definition,
iPr_def_16 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_417,definition,
iPr_def_17 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_418,definition,
iPr_def_18 = multiply(sk_c5,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_419,definition,
iPr_def_19 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_420,definition,
iPr_def_20 = multiply(sk_c4,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_421,definition,
iPr_def_21 = multiply(sk_c2,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_422,definition,
iPr_def_22 = multiply(sk_c8,sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_423,definition,
iPr_def_23 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_424,definition,
iPr_def_24 = multiply(sk_c1,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_425,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != sk_c6 )
| ( iPr_def_14 != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_413,c_415,c_414]) ).
tcf(c_426,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_412]) ).
tcf(c_427,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_411]) ).
tcf(c_428,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_410]) ).
tcf(c_429,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_409]) ).
tcf(c_430,negated_conjecture,
( ( iPr_def_17 = sk_c8 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_115,c_417,c_416]) ).
tcf(c_431,negated_conjecture,
( ( iPr_def_18 = sk_c6 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_114,c_418]) ).
tcf(c_432,negated_conjecture,
( ( iPr_def_19 = sk_c8 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_113,c_419]) ).
tcf(c_433,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_112,c_420]) ).
tcf(c_434,negated_conjecture,
( ( iPr_def_17 = sk_c8 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_435,negated_conjecture,
( ( iPr_def_21 = sk_c3 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_110,c_421]) ).
tcf(c_436,negated_conjecture,
( ( iPr_def_21 = sk_c3 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_109]) ).
tcf(c_438,negated_conjecture,
( ( iPr_def_21 = sk_c3 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_440,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_105,c_422]) ).
tcf(c_441,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_443,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_445,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_100,c_423]) ).
tcf(c_446,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_447,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_448,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_449,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_450,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_16 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_95,c_424]) ).
tcf(c_451,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_452,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_19 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_453,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_454,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_455,negated_conjecture,
( ( iPr_def_16 = sk_c8 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_456,negated_conjecture,
( ( iPr_def_18 = sk_c6 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_457,negated_conjecture,
( ( iPr_def_19 = sk_c8 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_458,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_459,negated_conjecture,
( ( iPr_def_15 = sk_c6 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_460,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_461,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_696,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c8 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_431,c_434]) ).
tcf(c_848,plain,
( ( sk_c6 = iPr_def_18 )
| ( multiply(sk_c8,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_436,c_422]) ).
tcf(c_864,plain,
( ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_445,c_424]) ).
tcf(c_879,plain,
multiply(iPr_def_19,sk_c4) = identity,
inference(superposition,[status(thm)],[c_419,c_84]) ).
tcf(c_880,plain,
multiply(iPr_def_16,sk_c5) = identity,
inference(superposition,[status(thm)],[c_416,c_84]) ).
tcf(c_881,plain,
multiply(iPr_def_23,sk_c1) = identity,
inference(superposition,[status(thm)],[c_423,c_84]) ).
tcf(c_882,plain,
multiply(iPr_def_17,sk_c2) = identity,
inference(superposition,[status(thm)],[c_417,c_84]) ).
tcf(c_883,plain,
! [X0: $i] :
( ( iPr_def_14 = sk_c6 )
| ( iPr_def_14 != X0 )
| ( sk_c6 != X0 ) ),
inference(instantiation,[status(thm)],[c_461]) ).
tcf(c_897,plain,
! [X0: $i,X1: $i] :
( ( sk_c6 = X0 )
| ( sk_c6 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_461]) ).
tcf(c_898,plain,
! [X0: $i] :
( ( sk_c6 = X0 )
| ( sk_c6 != sk_c6 )
| ( X0 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_897]) ).
tcf(c_899,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_460]) ).
tcf(c_910,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_447,c_424]) ).
tcf(c_915,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_23,sk_c8) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_447,c_414]) ).
tcf(c_933,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c6 )
| ( sk_c6 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_461]) ).
tcf(c_936,plain,
( ( sk_c6 = iPr_def_18 )
| ( iPr_def_18 != sk_c6 )
| ( sk_c6 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_898]) ).
tcf(c_946,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_448,c_424]) ).
tcf(c_971,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c7 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_449,c_446]) ).
tcf(c_977,plain,
( ( sk_c6 = iPr_def_14 )
| ( iPr_def_14 != sk_c6 )
| ( sk_c6 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_898]) ).
tcf(c_985,plain,
( ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_450,c_421]) ).
tcf(c_1021,plain,
( ( iPr_def_14 = sk_c6 )
| ( iPr_def_14 != iPr_def_14 )
| ( sk_c6 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_883]) ).
tcf(c_1101,plain,
! [X0: $i] :
( ( X0 = sk_c6 )
| ( sk_c6 != iPr_def_15 )
| ( X0 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_933]) ).
tcf(c_1117,plain,
( ( sk_c8 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_453,c_424]) ).
tcf(c_1148,plain,
( ( iPr_def_14 = sk_c6 )
| ( iPr_def_14 != iPr_def_18 )
| ( sk_c6 != iPr_def_18 ) ),
inference(instantiation,[status(thm)],[c_883]) ).
tcf(c_1169,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c8 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_454,c_451]) ).
tcf(c_1240,plain,
( ( iPr_def_14 = iPr_def_18 )
| ( sk_c6 = iPr_def_14 )
| ( sk_c8 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_456,c_455]) ).
tcf(c_1341,plain,
( ( iPr_def_14 = iPr_def_18 )
| ( sk_c6 = iPr_def_14 )
| ( sk_c7 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_458,c_456]) ).
tcf(c_1381,plain,
( ( iPr_def_15 = sk_c6 )
| ( iPr_def_15 != iPr_def_15 )
| ( sk_c6 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_1101]) ).
tcf(c_1382,plain,
iPr_def_15 = iPr_def_15,
inference(instantiation,[status(thm)],[c_460]) ).
tcf(c_1439,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_696,c_421]) ).
tcf(c_1728,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c7 = iPr_def_20 )
| ( sk_c6 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_458,c_425]) ).
tcf(c_1731,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_16 )
| ( sk_c6 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_455,c_425]) ).
tcf(c_1871,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_20 )
| ( inverse(sk_c4) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_420,c_427]) ).
tcf(c_1874,plain,
( ~ iPr_def_12
| ( sk_c8 != sk_c6 )
| ( inverse(identity) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_83,c_427]) ).
tcf(c_1894,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_20 )
| ( sk_c8 != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_1871,c_419]) ).
tcf(c_1974,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_24 )
| ( inverse(sk_c1) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_424,c_428]) ).
tcf(c_1975,plain,
( ~ iPr_def_11
| ( sk_c7 != sk_c8 )
| ( inverse(identity) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_83,c_428]) ).
tcf(c_1976,plain,
( ~ iPr_def_11
| ( sk_c8 != identity )
| ( inverse(inverse(sk_c7)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_84,c_428]) ).
tcf(c_1989,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_24 )
| ( sk_c7 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_1974,c_423]) ).
tcf(c_2090,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_20 )
| ( inverse(sk_c4) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_420,c_429]) ).
tcf(c_2093,plain,
( ~ iPr_def_10
| ( sk_c7 != sk_c8 )
| ( inverse(identity) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_83,c_429]) ).
tcf(c_2113,plain,
( ~ iPr_def_10
| ( sk_c8 != iPr_def_19 )
| ( sk_c7 != iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_2090,c_419]) ).
tcf(c_2232,plain,
( ~ iPr_def_13
| ( inverse(sk_c4) != sk_c8 )
| ( multiply(sk_c8,iPr_def_20) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_420,c_426]) ).
tcf(c_2235,plain,
( ~ iPr_def_13
| ( inverse(identity) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_83,c_426]) ).
tcf(c_2236,plain,
( ~ iPr_def_13
| ( inverse(inverse(sk_c8)) != sk_c8 )
| ( multiply(sk_c8,identity) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_84,c_426]) ).
tcf(c_2255,plain,
( ~ iPr_def_13
| ( sk_c8 != iPr_def_19 )
| ( multiply(sk_c8,iPr_def_20) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_2232,c_419]) ).
tcf(c_2306,plain,
iPr_def_14 = iPr_def_14,
inference(instantiation,[status(thm)],[c_460]) ).
tcf(c_2436,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_971,c_424]) ).
tcf(c_2441,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_23,sk_c8) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_971,c_414]) ).
tcf(c_2665,plain,
! [X0: $i] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_414,c_85]) ).
tcf(c_2666,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_415,c_85]) ).
tcf(c_2668,plain,
! [X0: $i] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_418,c_85]) ).
tcf(c_2669,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_424,c_85]) ).
tcf(c_2671,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c8,X0)) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_421,c_85]) ).
tcf(c_2673,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_84,c_85]) ).
tcf(c_2675,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_879,c_85]) ).
tcf(c_2676,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_880,c_85]) ).
tcf(c_2677,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_881,c_85]) ).
tcf(c_2678,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_882,c_85]) ).
tcf(c_2684,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2678,c_83]) ).
tcf(c_2685,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2677,c_83]) ).
tcf(c_2686,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2676,c_83]) ).
tcf(c_2687,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2675,c_83]) ).
tcf(c_2774,plain,
( ( iPr_def_17 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1169,c_696]) ).
tcf(c_2944,plain,
multiply(iPr_def_17,iPr_def_21) = sk_c8,
inference(superposition,[status(thm)],[c_421,c_2684]) ).
tcf(c_2952,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_21,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2944,c_85]) ).
tcf(c_2977,plain,
multiply(iPr_def_23,iPr_def_24) = sk_c7,
inference(superposition,[status(thm)],[c_424,c_2685]) ).
tcf(c_3430,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(iPr_def_24,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_2977,c_85]) ).
tcf(c_3448,plain,
multiply(iPr_def_16,iPr_def_18) = sk_c8,
inference(superposition,[status(thm)],[c_418,c_2686]) ).
tcf(c_3457,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_3448,c_85]) ).
tcf(c_3459,plain,
multiply(iPr_def_19,iPr_def_20) = sk_c8,
inference(superposition,[status(thm)],[c_420,c_2687]) ).
tcf(c_3474,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(iPr_def_20,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_3459,c_85]) ).
tcf(c_4759,plain,
( ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_864,c_2685]) ).
tcf(c_4760,plain,
( ( sk_c8 = iPr_def_16 )
| ( sk_c7 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_4759,c_2977]) ).
tcf(c_5629,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_452,c_915]) ).
tcf(c_5637,plain,
( ( sk_c8 = iPr_def_19 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_5629,c_2977]) ).
tcf(c_5730,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_946,c_2685]) ).
tcf(c_5731,plain,
( ( sk_c7 = iPr_def_23 )
| ( sk_c7 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_5730,c_2977]) ).
tcf(c_6338,plain,
( ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_985,c_2684]) ).
tcf(c_6339,plain,
( ( sk_c8 = iPr_def_24 )
| ( sk_c8 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_6338,c_2944]) ).
tcf(c_6822,plain,
( ( sk_c8 = iPr_def_24 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1117,c_2685]) ).
tcf(c_6823,plain,
( ( sk_c8 = iPr_def_24 )
| ( sk_c7 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_6822,c_2977]) ).
tcf(c_9112,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1169,c_2441]) ).
tcf(c_9125,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_9112,c_2977]) ).
tcf(c_9287,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_9125,c_424]) ).
tcf(c_9370,plain,
( ( sk_c8 = iPr_def_16 )
| ( sk_c6 = iPr_def_14 ) ),
inference(global_subsumption_just,[status(thm)],[c_1240,c_456,c_899,c_936,c_977,c_1148,c_1240]) ).
tcf(c_9371,plain,
( ( sk_c6 = iPr_def_14 )
| ( sk_c8 = iPr_def_16 ) ),
inference(renaming,[status(thm)],[c_9370]) ).
tcf(c_9621,plain,
multiply(sk_c7,iPr_def_15) = multiply(iPr_def_14,sk_c7),
inference(superposition,[status(thm)],[c_415,c_2665]) ).
tcf(c_9622,plain,
multiply(sk_c7,iPr_def_22) = multiply(iPr_def_14,sk_c3),
inference(superposition,[status(thm)],[c_422,c_2665]) ).
tcf(c_9765,plain,
( ( sk_c7 = iPr_def_20 )
| ( sk_c6 = iPr_def_14 ) ),
inference(global_subsumption_just,[status(thm)],[c_1341,c_456,c_899,c_936,c_977,c_1148,c_1341]) ).
tcf(c_9766,plain,
( ( sk_c6 = iPr_def_14 )
| ( sk_c7 = iPr_def_20 ) ),
inference(renaming,[status(thm)],[c_9765]) ).
tcf(c_10090,plain,
multiply(sk_c8,iPr_def_14) = multiply(iPr_def_15,sk_c8),
inference(superposition,[status(thm)],[c_414,c_2666]) ).
tcf(c_10312,plain,
multiply(sk_c7,multiply(iPr_def_15,sk_c8)) = multiply(iPr_def_14,iPr_def_14),
inference(superposition,[status(thm)],[c_10090,c_2665]) ).
tcf(c_10618,plain,
multiply(sk_c5,multiply(iPr_def_15,sk_c8)) = multiply(iPr_def_18,iPr_def_14),
inference(superposition,[status(thm)],[c_10090,c_2668]) ).
tcf(c_10832,plain,
multiply(sk_c1,iPr_def_14) = multiply(iPr_def_24,sk_c8),
inference(superposition,[status(thm)],[c_414,c_2669]) ).
tcf(c_10842,plain,
multiply(sk_c1,multiply(iPr_def_14,sk_c3)) = multiply(iPr_def_24,iPr_def_22),
inference(superposition,[status(thm)],[c_9622,c_2669]) ).
tcf(c_10945,plain,
multiply(iPr_def_23,multiply(iPr_def_24,sk_c8)) = iPr_def_14,
inference(superposition,[status(thm)],[c_10832,c_2685]) ).
tcf(c_11137,plain,
multiply(sk_c2,iPr_def_22) = multiply(iPr_def_21,sk_c3),
inference(superposition,[status(thm)],[c_422,c_2671]) ).
tcf(c_11309,plain,
multiply(iPr_def_17,multiply(iPr_def_21,sk_c3)) = iPr_def_22,
inference(superposition,[status(thm)],[c_11137,c_2684]) ).
tcf(c_13541,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2673,c_83]) ).
tcf(c_13546,plain,
multiply(inverse(sk_c7),iPr_def_14) = sk_c8,
inference(superposition,[status(thm)],[c_414,c_13541]) ).
tcf(c_13547,plain,
multiply(inverse(sk_c8),iPr_def_15) = sk_c7,
inference(superposition,[status(thm)],[c_415,c_13541]) ).
tcf(c_13551,plain,
multiply(inverse(sk_c8),iPr_def_22) = sk_c3,
inference(superposition,[status(thm)],[c_422,c_13541]) ).
tcf(c_13553,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_83,c_13541]) ).
tcf(c_13554,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_84,c_13541]) ).
tcf(c_13662,plain,
multiply(inverse(sk_c8),multiply(iPr_def_15,sk_c8)) = iPr_def_14,
inference(superposition,[status(thm)],[c_10090,c_13541]) ).
tcf(c_13671,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2687,c_13541]) ).
tcf(c_13672,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2686,c_13541]) ).
tcf(c_13673,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2685,c_13541]) ).
tcf(c_13674,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2684,c_13541]) ).
tcf(c_13719,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_13541,c_13541]) ).
tcf(c_14270,plain,
( ( sk_c8 = iPr_def_19 )
| ( multiply(inverse(iPr_def_14),iPr_def_14) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_5637,c_13546]) ).
tcf(c_14495,plain,
( ~ iPr_def_10
| ( sk_c7 != sk_c8 )
| ( inverse(inverse(identity)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_13553,c_429]) ).
tcf(c_15666,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_13554,c_13719]) ).
tcf(c_15681,plain,
multiply(sk_c7,sk_c8) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_15666,c_2665]) ).
tcf(c_15683,plain,
multiply(sk_c8,sk_c7) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_15666,c_2666]) ).
tcf(c_15684,plain,
multiply(sk_c8,identity) = multiply(iPr_def_19,iPr_def_20),
inference(superposition,[status(thm)],[c_15666,c_3474]) ).
tcf(c_15685,plain,
multiply(sk_c8,identity) = multiply(iPr_def_16,iPr_def_18),
inference(superposition,[status(thm)],[c_15666,c_3457]) ).
tcf(c_15686,plain,
multiply(sk_c7,identity) = multiply(iPr_def_23,iPr_def_24),
inference(superposition,[status(thm)],[c_15666,c_3430]) ).
tcf(c_15688,plain,
multiply(sk_c8,identity) = multiply(iPr_def_17,iPr_def_21),
inference(superposition,[status(thm)],[c_15666,c_2952]) ).
tcf(c_15693,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_15666,c_13553]) ).
tcf(c_15694,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_15688,c_2944]) ).
tcf(c_15696,plain,
multiply(sk_c7,identity) = sk_c7,
inference(light_normalisation,[status(thm)],[c_15686,c_2977]) ).
tcf(c_15699,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_15683,c_415]) ).
tcf(c_15701,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_15681,c_414]) ).
tcf(c_15798,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_15693,c_84]) ).
tcf(c_16302,plain,
multiply(sk_c4,iPr_def_19) = identity,
inference(superposition,[status(thm)],[c_13671,c_84]) ).
tcf(c_16305,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_19)) != sk_c8 )
| ( multiply(sk_c8,multiply(sk_c4,sk_c8)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_13671,c_426]) ).
tcf(c_16306,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_19)) != sk_c8 )
| ( multiply(sk_c4,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_13671,c_429]) ).
tcf(c_16308,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_13671,c_13541]) ).
tcf(c_16309,plain,
multiply(sk_c4,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_13671,c_15666]) ).
tcf(c_16314,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_20 )
| ( inverse(inverse(iPr_def_19)) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_16306,c_420]) ).
tcf(c_17216,plain,
inverse(iPr_def_19) = sk_c4,
inference(demodulation,[status(thm)],[c_16309,c_15666]) ).
tcf(c_17225,plain,
multiply(sk_c4,sk_c8) = iPr_def_20,
inference(superposition,[status(thm)],[c_3459,c_16308]) ).
tcf(c_17319,plain,
multiply(sk_c5,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_13672,c_84]) ).
tcf(c_17325,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_13672,c_13541]) ).
tcf(c_17326,plain,
multiply(sk_c5,identity) = inverse(iPr_def_16),
inference(superposition,[status(thm)],[c_13672,c_15666]) ).
tcf(c_17890,plain,
inverse(iPr_def_16) = sk_c5,
inference(demodulation,[status(thm)],[c_17326,c_15666]) ).
tcf(c_17905,plain,
multiply(sk_c5,sk_c8) = iPr_def_18,
inference(superposition,[status(thm)],[c_3448,c_17325]) ).
tcf(c_17998,plain,
( iPr_def_13
| iPr_def_12
| ( sk_c6 != iPr_def_15 )
| ( sk_c7 = iPr_def_20 )
| iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_1728,c_425,c_1021,c_1381,c_1382,c_1989,c_2306,c_5731,c_6823,c_9766]) ).
tcf(c_17999,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_10
| ( sk_c7 = iPr_def_20 )
| ( sk_c6 != iPr_def_15 ) ),
inference(renaming,[status(thm)],[c_17998]) ).
tcf(c_18018,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_10
| ( sk_c8 = iPr_def_16 )
| ( sk_c7 = iPr_def_20 )
| ( iPr_def_14 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_455,c_17999]) ).
tcf(c_18165,plain,
( iPr_def_13
| iPr_def_12
| ( sk_c6 != iPr_def_15 )
| ( sk_c8 = iPr_def_16 )
| iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_1731,c_425,c_1021,c_1381,c_1382,c_1989,c_2306,c_4760,c_6339,c_9371]) ).
tcf(c_18166,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_10
| ( sk_c8 = iPr_def_16 )
| ( sk_c6 != iPr_def_15 ) ),
inference(renaming,[status(thm)],[c_18165]) ).
tcf(c_18185,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_10
| ( sk_c8 = iPr_def_16 )
| ( iPr_def_14 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_455,c_18166]) ).
tcf(c_18774,plain,
multiply(sk_c1,iPr_def_23) = identity,
inference(superposition,[status(thm)],[c_13673,c_84]) ).
tcf(c_18780,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_23,X0)) = X0,
inference(superposition,[status(thm)],[c_13673,c_13541]) ).
tcf(c_18805,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( identity = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_2436,c_18774]) ).
tcf(c_18807,plain,
( ( identity = iPr_def_24 )
| ( sk_c8 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_910,c_18774]) ).
tcf(c_18994,plain,
( ~ iPr_def_12
| ( sk_c8 != identity )
| ( sk_c8 != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_1874,c_15693]) ).
tcf(c_19663,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_19,sk_c7) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18807,c_415]) ).
tcf(c_19862,plain,
multiply(sk_c1,sk_c7) = iPr_def_24,
inference(superposition,[status(thm)],[c_2977,c_18780]) ).
tcf(c_20332,plain,
( ~ iPr_def_11
| ( sk_c7 != identity )
| ( sk_c7 != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_1975,c_15693]) ).
tcf(c_20595,plain,
( ~ iPr_def_10
| ( sk_c8 != identity )
| ( sk_c7 != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_2093,c_15693]) ).
tcf(c_21606,plain,
multiply(sk_c2,iPr_def_17) = identity,
inference(superposition,[status(thm)],[c_13674,c_84]) ).
tcf(c_21612,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_17,X0)) = X0,
inference(superposition,[status(thm)],[c_13674,c_13541]) ).
tcf(c_21613,plain,
multiply(sk_c2,identity) = inverse(iPr_def_17),
inference(superposition,[status(thm)],[c_13674,c_15666]) ).
tcf(c_21629,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( identity = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_1439,c_21606]) ).
tcf(c_21643,plain,
inverse(iPr_def_17) = sk_c2,
inference(demodulation,[status(thm)],[c_21613,c_15666]) ).
tcf(c_21837,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_21629,c_18805]) ).
tcf(c_22355,plain,
multiply(sk_c2,sk_c8) = iPr_def_21,
inference(superposition,[status(thm)],[c_2944,c_21612]) ).
tcf(c_22480,plain,
( ( iPr_def_17 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_21837,c_2774]) ).
tcf(c_23392,plain,
( ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_22,sk_c8) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_440,c_414]) ).
tcf(c_23423,plain,
( ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c8,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_440,c_415]) ).
tcf(c_23769,plain,
( ( sk_c8 = iPr_def_16 )
| ( multiply(sk_c8,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_435,c_422]) ).
tcf(c_23818,plain,
multiply(iPr_def_17,sk_c2) = identity,
inference(superposition,[status(thm)],[c_417,c_84]) ).
tcf(c_24909,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_23818,c_85]) ).
tcf(c_24910,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_24909,c_83]) ).
tcf(c_25799,plain,
multiply(iPr_def_17,iPr_def_21) = sk_c8,
inference(superposition,[status(thm)],[c_421,c_24910]) ).
tcf(c_26169,plain,
( ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_430,c_23769]) ).
tcf(c_26171,plain,
( ( sk_c8 = iPr_def_22 )
| ( sk_c8 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_26169,c_25799]) ).
tcf(c_26350,plain,
( ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26171,c_23423]) ).
tcf(c_26356,plain,
( ( sk_c8 = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_26171,c_23392]) ).
tcf(c_28868,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c8 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_26356,c_26350]) ).
tcf(c_30596,plain,
( ~ iPr_def_13
| ( sk_c8 != identity )
| ( multiply(sk_c8,sk_c8) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_2235,c_15693]) ).
tcf(c_31765,plain,
( ~ iPr_def_13
| ( sk_c7 != sk_c8 )
| ( inverse(inverse(sk_c8)) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_2236,c_15666]) ).
tcf(c_33026,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_24,sk_c8) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_9287,c_10832]) ).
tcf(c_33073,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_33026,c_13541]) ).
tcf(c_33323,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_10
| ( sk_c8 = iPr_def_16 ) ),
inference(global_subsumption_just,[status(thm)],[c_18018,c_18185,c_28868]) ).
tcf(c_35071,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_33323,c_33073,c_31765,c_30596,c_22480,c_22355,c_21643,c_21613,c_21606,c_20595,c_20332,c_19862,c_19663,c_18994,c_18774,c_17905,c_17890,c_17319,c_17225,c_17216,c_16314,c_16305,c_16309,c_16302,c_15701,c_15699,c_15696,c_15694,c_15688,c_15686,c_15685,c_15684,c_15683,c_15681,c_15693,c_14495,c_14270,c_13662,c_13551,c_13547,c_11309,c_11137,c_10945,c_10842,c_10618,c_10312,c_10090,c_9621,c_2255,c_2113,c_1989,c_1976,c_1894,c_15798,c_848,c_459,c_458,c_457,c_456,c_455,c_454,c_453,c_452,c_451,c_450,c_448,c_446,c_445,c_443,c_441,c_440,c_438,c_435,c_434,c_433,c_432,c_431,c_430,c_425,c_419,c_417]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP323-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.57 % Computer : n014.cluster.edu
% 0.09/5.57 % Model : x86_64 x86_64
% 0.09/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.57 % Memory : 8046.5625MB
% 0.09/5.57 % OS : Linux 6.8.0-71-generic
% 0.09/5.57 % CPULimit : 300
% 0.09/5.57 % WCLimit : 300
% 0.09/5.57 % DateTime : Wed Sep 23 14:28:09 UTC 2026
% 0.09/5.57 % CPUTime :
% 0.09/5.57 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.61 Running first-order theorem proving
% 0.13/5.61 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/5.62
% 0.13/5.62 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.62
% 0.13/5.62 % Detected problem language: tptp
% 0.13/5.64 % Proving...
% 10.64/7.95 % SZS status Started for theBenchmark.p
% 10.64/7.95 % SZS status Unsatisfiable for theBenchmark.p
% 10.64/7.95
% 10.64/7.95 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.64/7.95
% 10.64/7.95 % ------ iProver source info
% 10.64/7.95
% 10.64/7.95 % git: date: 2026-07-19 20:42:38 +0200
% 10.64/7.95 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.64/7.95 % git: non_committed_changes: false
% 10.64/7.95
% 10.64/7.95 % ------ Parsing...% successful
% 10.64/7.95
% 10.64/7.95
% 10.64/7.95 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.64/7.95
% 10.64/7.95 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 10.64/7.95
% 10.64/7.95 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.64/7.95
% 10.64/7.95 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 10.64/7.95 % ------ Proving...
% 10.64/7.95 % ------ Problem Properties
% 10.64/7.95
% 10.64/7.95 %
% 10.64/7.95 % clauses 49
% 10.64/7.95 % conjectures 35
% 10.64/7.95 % EPR 31
% 10.64/7.95 % Horn 18
% 10.64/7.95 % unary 14
% 10.64/7.95 % binary 30
% 10.64/7.95 % lits 92
% 10.64/7.95 % lits eq 84
% 10.64/7.95 % fd_pure 0
% 10.64/7.95 % fd_pseudo 0
% 10.64/7.95 % fd_cond 0
% 10.64/7.95 % fd_pseudo_cond 0
% 10.64/7.95 % AC symbols 0
% 10.64/7.95
% 10.64/7.95 % ------ Schedule dynamic 5 is on
% 10.64/7.95
% 10.64/7.95 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.64/7.95
% 10.64/7.95
% 10.64/7.95 % ------
% 10.64/7.95 % Current options:
% 10.64/7.95 % ------
% 10.64/7.95
% 10.64/7.95
% 10.64/7.95 %
% 10.64/7.95
% 10.64/7.95 % ------ Proving...
% 10.64/7.95 %
% 10.64/7.95
% 10.64/7.95 % SZS status Unsatisfiable for theBenchmark.p
% 10.64/7.95
% 10.64/7.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.64/7.96
% 10.64/7.96
%------------------------------------------------------------------------------