TSTP Solution File: GRP248-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP248-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:15:01 EDT 2022
% Result : Unsatisfiable 1.84s 0.62s
% Output : Refutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 71
% Syntax : Number of formulae : 332 ( 34 unt; 0 def)
% Number of atoms : 911 ( 359 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 1095 ( 516 ~; 549 |; 0 &)
% ( 30 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 31 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 24 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1191,plain,
$false,
inference(avatar_sat_refutation,[],[f111,f135,f149,f154,f159,f160,f161,f162,f164,f170,f172,f173,f174,f176,f195,f197,f198,f200,f202,f206,f207,f209,f210,f214,f215,f244,f308,f326,f344,f370,f372,f377,f403,f456,f508,f543,f620,f665,f694,f702,f719,f796,f799,f805,f895,f903,f908,f921,f1034,f1041,f1051,f1102,f1119,f1149,f1157]) ).
fof(f1157,plain,
( ~ spl13_32
| spl13_40
| ~ spl13_45
| ~ spl13_46 ),
inference(avatar_contradiction_clause,[],[f1156]) ).
fof(f1156,plain,
( $false
| ~ spl13_32
| spl13_40
| ~ spl13_45
| ~ spl13_46 ),
inference(subsumption_resolution,[],[f1042,f1147]) ).
fof(f1147,plain,
( identity != inverse(inverse(identity))
| ~ spl13_32
| spl13_40
| ~ spl13_45 ),
inference(forward_demodulation,[],[f1146,f329]) ).
fof(f329,plain,
( identity = sk_c9
| ~ spl13_32 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f328,plain,
( spl13_32
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_32])]) ).
fof(f1146,plain,
( sk_c9 != inverse(inverse(identity))
| spl13_40
| ~ spl13_45 ),
inference(forward_demodulation,[],[f376,f688]) ).
fof(f688,plain,
( identity = sk_c8
| ~ spl13_45 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f687,plain,
( spl13_45
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_45])]) ).
fof(f376,plain,
( sk_c9 != inverse(inverse(sk_c8))
| spl13_40 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f374,plain,
( spl13_40
<=> sk_c9 = inverse(inverse(sk_c8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_40])]) ).
fof(f1042,plain,
( identity = inverse(inverse(identity))
| ~ spl13_32
| ~ spl13_46 ),
inference(forward_demodulation,[],[f692,f329]) ).
fof(f692,plain,
( sk_c9 = inverse(inverse(sk_c9))
| ~ spl13_46 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f691,plain,
( spl13_46
<=> sk_c9 = inverse(inverse(sk_c9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_46])]) ).
fof(f1149,plain,
( ~ spl13_3
| ~ spl13_32
| spl13_39 ),
inference(avatar_contradiction_clause,[],[f1148]) ).
fof(f1148,plain,
( $false
| ~ spl13_3
| ~ spl13_32
| spl13_39 ),
inference(subsumption_resolution,[],[f1076,f1120]) ).
fof(f1120,plain,
( identity != inverse(identity)
| ~ spl13_32
| spl13_39 ),
inference(forward_demodulation,[],[f369,f329]) ).
fof(f369,plain,
( sk_c9 != inverse(identity)
| spl13_39 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f367,plain,
( spl13_39
<=> sk_c9 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_39])]) ).
fof(f1076,plain,
( identity = inverse(identity)
| ~ spl13_3
| ~ spl13_32 ),
inference(backward_demodulation,[],[f1069,f1075]) ).
fof(f1075,plain,
( identity = sk_c2
| ~ spl13_3
| ~ spl13_32 ),
inference(forward_demodulation,[],[f1071,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1071,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl13_3
| ~ spl13_32 ),
inference(backward_demodulation,[],[f427,f1068]) ).
fof(f1068,plain,
( identity = sF2
| ~ spl13_3
| ~ spl13_32 ),
inference(forward_demodulation,[],[f115,f329]) ).
fof(f115,plain,
( sk_c9 = sF2
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl13_3
<=> sk_c9 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f427,plain,
sk_c2 = multiply(inverse(sF2),identity),
inference(superposition,[],[f282,f227]) ).
fof(f227,plain,
identity = multiply(sF2,sk_c2),
inference(superposition,[],[f2,f51]) ).
fof(f51,plain,
inverse(sk_c2) = sF2,
introduced(function_definition,[]) ).
fof(f282,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f265,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f265,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f1069,plain,
( identity = inverse(sk_c2)
| ~ spl13_3
| ~ spl13_32 ),
inference(backward_demodulation,[],[f51,f1068]) ).
fof(f1119,plain,
( ~ spl13_1
| ~ spl13_4
| ~ spl13_9
| ~ spl13_18
| ~ spl13_44
| ~ spl13_45 ),
inference(avatar_contradiction_clause,[],[f1118]) ).
fof(f1118,plain,
( $false
| ~ spl13_1
| ~ spl13_4
| ~ spl13_9
| ~ spl13_18
| ~ spl13_44
| ~ spl13_45 ),
inference(subsumption_resolution,[],[f1116,f401]) ).
fof(f401,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl13_44 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f400,plain,
( spl13_44
<=> sk_c10 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_44])]) ).
fof(f1116,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl13_1
| ~ spl13_4
| ~ spl13_9
| ~ spl13_18
| ~ spl13_45 ),
inference(trivial_inequality_removal,[],[f1114]) ).
fof(f1114,plain,
( sk_c10 != inverse(sk_c1)
| sk_c10 != sk_c10
| ~ spl13_1
| ~ spl13_4
| ~ spl13_9
| ~ spl13_18
| ~ spl13_45 ),
inference(superposition,[],[f1103,f1062]) ).
fof(f1062,plain,
( sk_c10 = multiply(sk_c1,identity)
| ~ spl13_1
| ~ spl13_4
| ~ spl13_9
| ~ spl13_45 ),
inference(backward_demodulation,[],[f982,f1061]) ).
fof(f1061,plain,
( sk_c1 = sk_c3
| ~ spl13_1
| ~ spl13_4 ),
inference(forward_demodulation,[],[f1057,f1047]) ).
fof(f1047,plain,
( sk_c1 = multiply(inverse(sk_c10),identity)
| ~ spl13_1 ),
inference(backward_demodulation,[],[f428,f106]) ).
fof(f106,plain,
( sk_c10 = sF8
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl13_1
<=> sk_c10 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f428,plain,
sk_c1 = multiply(inverse(sF8),identity),
inference(superposition,[],[f282,f223]) ).
fof(f223,plain,
identity = multiply(sF8,sk_c1),
inference(superposition,[],[f2,f62]) ).
fof(f62,plain,
inverse(sk_c1) = sF8,
introduced(function_definition,[]) ).
fof(f1057,plain,
( sk_c3 = multiply(inverse(sk_c10),identity)
| ~ spl13_4 ),
inference(backward_demodulation,[],[f429,f120]) ).
fof(f120,plain,
( sk_c10 = sF9
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl13_4
<=> sk_c10 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f429,plain,
sk_c3 = multiply(inverse(sF9),identity),
inference(superposition,[],[f282,f228]) ).
fof(f228,plain,
identity = multiply(sF9,sk_c3),
inference(superposition,[],[f2,f64]) ).
fof(f64,plain,
inverse(sk_c3) = sF9,
introduced(function_definition,[]) ).
fof(f982,plain,
( sk_c10 = multiply(sk_c3,identity)
| ~ spl13_9
| ~ spl13_45 ),
inference(backward_demodulation,[],[f562,f688]) ).
fof(f562,plain,
( sk_c10 = multiply(sk_c3,sk_c8)
| ~ spl13_9 ),
inference(forward_demodulation,[],[f66,f143]) ).
fof(f143,plain,
( sk_c10 = sF10
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl13_9
<=> sk_c10 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f66,plain,
multiply(sk_c3,sk_c8) = sF10,
introduced(function_definition,[]) ).
fof(f1103,plain,
( ! [X5] :
( sk_c10 != multiply(X5,identity)
| sk_c10 != inverse(X5) )
| ~ spl13_18
| ~ spl13_45 ),
inference(forward_demodulation,[],[f191,f688]) ).
fof(f191,plain,
( ! [X5] :
( sk_c10 != multiply(X5,sk_c8)
| sk_c10 != inverse(X5) )
| ~ spl13_18 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f190,plain,
( spl13_18
<=> ! [X5] :
( sk_c10 != multiply(X5,sk_c8)
| sk_c10 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).
fof(f1102,plain,
( ~ spl13_1
| ~ spl13_4
| ~ spl13_9
| ~ spl13_14
| ~ spl13_32
| ~ spl13_44
| ~ spl13_45 ),
inference(avatar_contradiction_clause,[],[f1101]) ).
fof(f1101,plain,
( $false
| ~ spl13_1
| ~ spl13_4
| ~ spl13_9
| ~ spl13_14
| ~ spl13_32
| ~ spl13_44
| ~ spl13_45 ),
inference(subsumption_resolution,[],[f1095,f401]) ).
fof(f1095,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl13_1
| ~ spl13_4
| ~ spl13_9
| ~ spl13_14
| ~ spl13_32
| ~ spl13_45 ),
inference(trivial_inequality_removal,[],[f1093]) ).
fof(f1093,plain,
( sk_c10 != inverse(sk_c1)
| sk_c10 != sk_c10
| ~ spl13_1
| ~ spl13_4
| ~ spl13_9
| ~ spl13_14
| ~ spl13_32
| ~ spl13_45 ),
inference(superposition,[],[f1053,f1062]) ).
fof(f1053,plain,
( ! [X6] :
( sk_c10 != multiply(X6,identity)
| sk_c10 != inverse(X6) )
| ~ spl13_14
| ~ spl13_32 ),
inference(forward_demodulation,[],[f179,f329]) ).
fof(f179,plain,
( ! [X6] :
( sk_c10 != multiply(X6,sk_c9)
| sk_c10 != inverse(X6) )
| ~ spl13_14 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl13_14
<=> ! [X6] :
( sk_c10 != multiply(X6,sk_c9)
| sk_c10 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f1051,plain,
( spl13_44
| ~ spl13_1 ),
inference(avatar_split_clause,[],[f1044,f104,f400]) ).
fof(f1044,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl13_1 ),
inference(backward_demodulation,[],[f62,f106]) ).
fof(f1041,plain,
( ~ spl13_12
| ~ spl13_32
| spl13_46 ),
inference(avatar_contradiction_clause,[],[f1040]) ).
fof(f1040,plain,
( $false
| ~ spl13_12
| ~ spl13_32
| spl13_46 ),
inference(subsumption_resolution,[],[f1039,f888]) ).
fof(f888,plain,
( identity = inverse(identity)
| ~ spl13_12
| ~ spl13_32 ),
inference(forward_demodulation,[],[f852,f879]) ).
fof(f879,plain,
( identity = sk_c5
| ~ spl13_12
| ~ spl13_32 ),
inference(forward_demodulation,[],[f854,f2]) ).
fof(f854,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl13_12
| ~ spl13_32 ),
inference(backward_demodulation,[],[f813,f329]) ).
fof(f813,plain,
( sk_c5 = multiply(inverse(sk_c9),identity)
| ~ spl13_12 ),
inference(backward_demodulation,[],[f779,f158]) ).
fof(f158,plain,
( sk_c9 = sF11
| ~ spl13_12 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl13_12
<=> sk_c9 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
fof(f779,plain,
sk_c5 = multiply(inverse(sF11),identity),
inference(superposition,[],[f282,f628]) ).
fof(f628,plain,
identity = multiply(sF11,sk_c5),
inference(superposition,[],[f2,f69]) ).
fof(f69,plain,
inverse(sk_c5) = sF11,
introduced(function_definition,[]) ).
fof(f852,plain,
( identity = inverse(sk_c5)
| ~ spl13_12
| ~ spl13_32 ),
inference(backward_demodulation,[],[f808,f329]) ).
fof(f808,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl13_12 ),
inference(backward_demodulation,[],[f69,f158]) ).
fof(f1039,plain,
( identity != inverse(identity)
| ~ spl13_12
| ~ spl13_32
| spl13_46 ),
inference(forward_demodulation,[],[f1038,f888]) ).
fof(f1038,plain,
( identity != inverse(inverse(identity))
| ~ spl13_32
| spl13_46 ),
inference(forward_demodulation,[],[f693,f329]) ).
fof(f693,plain,
( sk_c9 != inverse(inverse(sk_c9))
| spl13_46 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f1034,plain,
( ~ spl13_6
| ~ spl13_7
| ~ spl13_18
| ~ spl13_32
| ~ spl13_45 ),
inference(avatar_contradiction_clause,[],[f1033]) ).
fof(f1033,plain,
( $false
| ~ spl13_6
| ~ spl13_7
| ~ spl13_18
| ~ spl13_32
| ~ spl13_45 ),
inference(subsumption_resolution,[],[f1032,f222]) ).
fof(f222,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl13_7 ),
inference(backward_demodulation,[],[f61,f134]) ).
fof(f134,plain,
( sk_c10 = sF7
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl13_7
<=> sk_c10 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f61,plain,
inverse(sk_c4) = sF7,
introduced(function_definition,[]) ).
fof(f1032,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl13_6
| ~ spl13_18
| ~ spl13_32
| ~ spl13_45 ),
inference(trivial_inequality_removal,[],[f1029]) ).
fof(f1029,plain,
( sk_c10 != inverse(sk_c4)
| sk_c10 != sk_c10
| ~ spl13_6
| ~ spl13_18
| ~ spl13_32
| ~ spl13_45 ),
inference(superposition,[],[f980,f862]) ).
fof(f862,plain,
( sk_c10 = multiply(sk_c4,identity)
| ~ spl13_6
| ~ spl13_32 ),
inference(backward_demodulation,[],[f829,f329]) ).
fof(f829,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| ~ spl13_6 ),
inference(forward_demodulation,[],[f72,f129]) ).
fof(f129,plain,
( sk_c10 = sF12
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl13_6
<=> sk_c10 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f72,plain,
multiply(sk_c4,sk_c9) = sF12,
introduced(function_definition,[]) ).
fof(f980,plain,
( ! [X5] :
( sk_c10 != multiply(X5,identity)
| sk_c10 != inverse(X5) )
| ~ spl13_18
| ~ spl13_45 ),
inference(backward_demodulation,[],[f191,f688]) ).
fof(f921,plain,
( ~ spl13_5
| ~ spl13_12
| ~ spl13_32
| spl13_34 ),
inference(avatar_contradiction_clause,[],[f920]) ).
fof(f920,plain,
( $false
| ~ spl13_5
| ~ spl13_12
| ~ spl13_32
| spl13_34 ),
inference(subsumption_resolution,[],[f919,f915]) ).
fof(f915,plain,
( identity != multiply(identity,sk_c8)
| ~ spl13_32
| spl13_34 ),
inference(forward_demodulation,[],[f339,f329]) ).
fof(f339,plain,
( sk_c9 != multiply(sk_c9,sk_c8)
| spl13_34 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f337,plain,
( spl13_34
<=> sk_c9 = multiply(sk_c9,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_34])]) ).
fof(f919,plain,
( identity = multiply(identity,sk_c8)
| ~ spl13_5
| ~ spl13_12
| ~ spl13_32 ),
inference(forward_demodulation,[],[f918,f879]) ).
fof(f918,plain,
( identity = multiply(sk_c5,sk_c8)
| ~ spl13_5
| ~ spl13_32 ),
inference(forward_demodulation,[],[f49,f831]) ).
fof(f831,plain,
( identity = sF1
| ~ spl13_5
| ~ spl13_32 ),
inference(backward_demodulation,[],[f124,f329]) ).
fof(f124,plain,
( sk_c9 = sF1
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl13_5
<=> sk_c9 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f49,plain,
multiply(sk_c5,sk_c8) = sF1,
introduced(function_definition,[]) ).
fof(f908,plain,
( spl13_45
| ~ spl13_5
| ~ spl13_12
| ~ spl13_32 ),
inference(avatar_split_clause,[],[f907,f328,f156,f122,f687]) ).
fof(f907,plain,
( identity = sk_c8
| ~ spl13_5
| ~ spl13_12
| ~ spl13_32 ),
inference(forward_demodulation,[],[f906,f1]) ).
fof(f906,plain,
( sk_c8 = multiply(identity,identity)
| ~ spl13_5
| ~ spl13_12
| ~ spl13_32 ),
inference(forward_demodulation,[],[f905,f835]) ).
fof(f835,plain,
( identity = sF11
| ~ spl13_12
| ~ spl13_32 ),
inference(backward_demodulation,[],[f158,f329]) ).
fof(f905,plain,
( sk_c8 = multiply(sF11,identity)
| ~ spl13_5
| ~ spl13_32 ),
inference(forward_demodulation,[],[f679,f831]) ).
fof(f679,plain,
sk_c8 = multiply(sF11,sF1),
inference(forward_demodulation,[],[f677,f69]) ).
fof(f677,plain,
sk_c8 = multiply(inverse(sk_c5),sF1),
inference(superposition,[],[f282,f49]) ).
fof(f903,plain,
( ~ spl13_12
| ~ spl13_32
| spl13_35 ),
inference(avatar_contradiction_clause,[],[f902]) ).
fof(f902,plain,
( $false
| ~ spl13_12
| ~ spl13_32
| spl13_35 ),
inference(subsumption_resolution,[],[f901,f1]) ).
fof(f901,plain,
( identity != multiply(identity,identity)
| ~ spl13_12
| ~ spl13_32
| spl13_35 ),
inference(forward_demodulation,[],[f900,f879]) ).
fof(f900,plain,
( identity != multiply(sk_c5,identity)
| ~ spl13_32
| spl13_35 ),
inference(forward_demodulation,[],[f343,f329]) ).
fof(f343,plain,
( sk_c9 != multiply(sk_c5,sk_c9)
| spl13_35 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f341,plain,
( spl13_35
<=> sk_c9 = multiply(sk_c5,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_35])]) ).
fof(f895,plain,
( ~ spl13_3
| ~ spl13_13
| spl13_30
| ~ spl13_32
| ~ spl13_45 ),
inference(avatar_contradiction_clause,[],[f894]) ).
fof(f894,plain,
( $false
| ~ spl13_3
| ~ spl13_13
| spl13_30
| ~ spl13_32
| ~ spl13_45 ),
inference(subsumption_resolution,[],[f743,f329]) ).
fof(f743,plain,
( identity != sk_c9
| ~ spl13_3
| ~ spl13_13
| spl13_30
| ~ spl13_45 ),
inference(backward_demodulation,[],[f708,f730]) ).
fof(f730,plain,
( identity = multiply(sk_c2,sk_c9)
| ~ spl13_13
| ~ spl13_45 ),
inference(backward_demodulation,[],[f557,f688]) ).
fof(f557,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl13_13 ),
inference(forward_demodulation,[],[f48,f168]) ).
fof(f168,plain,
( sk_c8 = sF0
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl13_13
<=> sk_c8 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f48,plain,
multiply(sk_c2,sk_c9) = sF0,
introduced(function_definition,[]) ).
fof(f708,plain,
( sk_c9 != multiply(sk_c2,sk_c9)
| ~ spl13_3
| spl13_30 ),
inference(forward_demodulation,[],[f321,f115]) ).
fof(f321,plain,
( sk_c9 != multiply(sk_c2,sF2)
| spl13_30 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f319,plain,
( spl13_30
<=> sk_c9 = multiply(sk_c2,sF2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_30])]) ).
fof(f805,plain,
( ~ spl13_32
| spl13_38
| ~ spl13_45 ),
inference(avatar_split_clause,[],[f727,f687,f363,f328]) ).
fof(f363,plain,
( spl13_38
<=> sk_c9 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_38])]) ).
fof(f727,plain,
( identity != sk_c9
| spl13_38
| ~ spl13_45 ),
inference(backward_demodulation,[],[f365,f688]) ).
fof(f365,plain,
( sk_c9 != sk_c8
| spl13_38 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f799,plain,
( ~ spl13_1
| ~ spl13_11
| spl13_32 ),
inference(avatar_contradiction_clause,[],[f798]) ).
fof(f798,plain,
( $false
| ~ spl13_1
| ~ spl13_11
| spl13_32 ),
inference(subsumption_resolution,[],[f797,f330]) ).
fof(f330,plain,
( identity != sk_c9
| spl13_32 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f797,plain,
( identity = sk_c9
| ~ spl13_1
| ~ spl13_11 ),
inference(forward_demodulation,[],[f792,f2]) ).
fof(f792,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl13_1
| ~ spl13_11 ),
inference(superposition,[],[f282,f575]) ).
fof(f575,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl13_1
| ~ spl13_11 ),
inference(backward_demodulation,[],[f544,f106]) ).
fof(f544,plain,
( sk_c10 = multiply(sF8,sk_c9)
| ~ spl13_11 ),
inference(backward_demodulation,[],[f437,f153]) ).
fof(f153,plain,
( sk_c9 = sF3
| ~ spl13_11 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl13_11
<=> sk_c9 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f437,plain,
sk_c10 = multiply(sF8,sF3),
inference(forward_demodulation,[],[f415,f62]) ).
fof(f415,plain,
sk_c10 = multiply(inverse(sk_c1),sF3),
inference(superposition,[],[f282,f53]) ).
fof(f53,plain,
multiply(sk_c1,sk_c10) = sF3,
introduced(function_definition,[]) ).
fof(f796,plain,
( ~ spl13_1
| ~ spl13_4
| spl13_6
| ~ spl13_7
| ~ spl13_9
| ~ spl13_11
| ~ spl13_45 ),
inference(avatar_contradiction_clause,[],[f795]) ).
fof(f795,plain,
( $false
| ~ spl13_1
| ~ spl13_4
| spl13_6
| ~ spl13_7
| ~ spl13_9
| ~ spl13_11
| ~ spl13_45 ),
inference(subsumption_resolution,[],[f794,f128]) ).
fof(f128,plain,
( sk_c10 != sF12
| spl13_6 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f794,plain,
( sk_c10 = sF12
| ~ spl13_1
| ~ spl13_4
| ~ spl13_7
| ~ spl13_9
| ~ spl13_11
| ~ spl13_45 ),
inference(backward_demodulation,[],[f663,f790]) ).
fof(f790,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| ~ spl13_1
| ~ spl13_4
| ~ spl13_7
| ~ spl13_9
| ~ spl13_11
| ~ spl13_45 ),
inference(superposition,[],[f575,f737]) ).
fof(f737,plain,
( ! [X17] : multiply(sk_c10,X17) = multiply(sk_c1,X17)
| ~ spl13_1
| ~ spl13_4
| ~ spl13_7
| ~ spl13_9
| ~ spl13_45 ),
inference(forward_demodulation,[],[f732,f1]) ).
fof(f732,plain,
( ! [X17] : multiply(sk_c1,multiply(identity,X17)) = multiply(sk_c10,X17)
| ~ spl13_1
| ~ spl13_4
| ~ spl13_7
| ~ spl13_9
| ~ spl13_45 ),
inference(backward_demodulation,[],[f589,f688]) ).
fof(f589,plain,
( ! [X17] : multiply(sk_c1,multiply(sk_c8,X17)) = multiply(sk_c10,X17)
| ~ spl13_1
| ~ spl13_4
| ~ spl13_7
| ~ spl13_9 ),
inference(backward_demodulation,[],[f554,f580]) ).
fof(f580,plain,
( sk_c1 = sk_c4
| ~ spl13_1
| ~ spl13_7 ),
inference(backward_demodulation,[],[f416,f576]) ).
fof(f576,plain,
( sk_c1 = multiply(inverse(sk_c10),identity)
| ~ spl13_1 ),
inference(backward_demodulation,[],[f428,f106]) ).
fof(f416,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl13_7 ),
inference(superposition,[],[f282,f224]) ).
fof(f224,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl13_7 ),
inference(superposition,[],[f2,f222]) ).
fof(f554,plain,
( ! [X17] : multiply(sk_c4,multiply(sk_c8,X17)) = multiply(sk_c10,X17)
| ~ spl13_4
| ~ spl13_7
| ~ spl13_9 ),
inference(backward_demodulation,[],[f547,f552]) ).
fof(f552,plain,
( sk_c4 = sk_c3
| ~ spl13_4
| ~ spl13_7 ),
inference(forward_demodulation,[],[f548,f416]) ).
fof(f548,plain,
( sk_c3 = multiply(inverse(sk_c10),identity)
| ~ spl13_4 ),
inference(backward_demodulation,[],[f429,f120]) ).
fof(f547,plain,
( ! [X17] : multiply(sk_c10,X17) = multiply(sk_c3,multiply(sk_c8,X17))
| ~ spl13_9 ),
inference(backward_demodulation,[],[f275,f143]) ).
fof(f275,plain,
! [X17] : multiply(sF10,X17) = multiply(sk_c3,multiply(sk_c8,X17)),
inference(superposition,[],[f3,f66]) ).
fof(f663,plain,
( multiply(sk_c1,sk_c9) = sF12
| ~ spl13_1
| ~ spl13_7 ),
inference(forward_demodulation,[],[f72,f580]) ).
fof(f719,plain,
( spl13_45
| ~ spl13_34 ),
inference(avatar_split_clause,[],[f718,f337,f687]) ).
fof(f718,plain,
( identity = sk_c8
| ~ spl13_34 ),
inference(forward_demodulation,[],[f716,f2]) ).
fof(f716,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl13_34 ),
inference(superposition,[],[f282,f338]) ).
fof(f338,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl13_34 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f702,plain,
( ~ spl13_3
| ~ spl13_13
| ~ spl13_19 ),
inference(avatar_contradiction_clause,[],[f701]) ).
fof(f701,plain,
( $false
| ~ spl13_3
| ~ spl13_13
| ~ spl13_19 ),
inference(subsumption_resolution,[],[f685,f568]) ).
fof(f568,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl13_3 ),
inference(backward_demodulation,[],[f51,f115]) ).
fof(f685,plain,
( sk_c9 != inverse(sk_c2)
| ~ spl13_13
| ~ spl13_19 ),
inference(trivial_inequality_removal,[],[f684]) ).
fof(f684,plain,
( sk_c8 != sk_c8
| sk_c9 != inverse(sk_c2)
| ~ spl13_13
| ~ spl13_19 ),
inference(superposition,[],[f194,f557]) ).
fof(f194,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
| ~ spl13_19 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f193,plain,
( spl13_19
<=> ! [X4] :
( sk_c8 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_19])]) ).
fof(f694,plain,
( ~ spl13_45
| ~ spl13_46
| ~ spl13_19 ),
inference(avatar_split_clause,[],[f682,f193,f691,f687]) ).
fof(f682,plain,
( sk_c9 != inverse(inverse(sk_c9))
| identity != sk_c8
| ~ spl13_19 ),
inference(superposition,[],[f194,f2]) ).
fof(f665,plain,
( spl13_34
| ~ spl13_3
| ~ spl13_31 ),
inference(avatar_split_clause,[],[f664,f323,f113,f337]) ).
fof(f323,plain,
( spl13_31
<=> sk_c9 = multiply(sF2,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_31])]) ).
fof(f664,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl13_3
| ~ spl13_31 ),
inference(forward_demodulation,[],[f324,f115]) ).
fof(f324,plain,
( sk_c9 = multiply(sF2,sk_c8)
| ~ spl13_31 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f620,plain,
( spl13_5
| ~ spl13_35
| ~ spl13_38 ),
inference(avatar_contradiction_clause,[],[f619]) ).
fof(f619,plain,
( $false
| spl13_5
| ~ spl13_35
| ~ spl13_38 ),
inference(subsumption_resolution,[],[f618,f123]) ).
fof(f123,plain,
( sk_c9 != sF1
| spl13_5 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f618,plain,
( sk_c9 = sF1
| ~ spl13_35
| ~ spl13_38 ),
inference(backward_demodulation,[],[f617,f342]) ).
fof(f342,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| ~ spl13_35 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f617,plain,
( sF1 = multiply(sk_c5,sk_c9)
| ~ spl13_38 ),
inference(forward_demodulation,[],[f49,f364]) ).
fof(f364,plain,
( sk_c9 = sk_c8
| ~ spl13_38 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f543,plain,
( spl13_31
| ~ spl13_13 ),
inference(avatar_split_clause,[],[f542,f166,f323]) ).
fof(f542,plain,
( sk_c9 = multiply(sF2,sk_c8)
| ~ spl13_13 ),
inference(forward_demodulation,[],[f431,f168]) ).
fof(f431,plain,
sk_c9 = multiply(sF2,sF0),
inference(forward_demodulation,[],[f425,f51]) ).
fof(f425,plain,
sk_c9 = multiply(inverse(sk_c2),sF0),
inference(superposition,[],[f282,f48]) ).
fof(f508,plain,
( ~ spl13_6
| ~ spl13_7
| ~ spl13_17
| ~ spl13_32 ),
inference(avatar_contradiction_clause,[],[f507]) ).
fof(f507,plain,
( $false
| ~ spl13_6
| ~ spl13_7
| ~ spl13_17
| ~ spl13_32 ),
inference(subsumption_resolution,[],[f503,f393]) ).
fof(f393,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl13_6
| ~ spl13_7
| ~ spl13_17 ),
inference(trivial_inequality_removal,[],[f392]) ).
fof(f392,plain,
( sk_c10 != inverse(sk_c10)
| sk_c9 != sk_c9
| ~ spl13_6
| ~ spl13_7
| ~ spl13_17 ),
inference(superposition,[],[f188,f287]) ).
fof(f287,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl13_6
| ~ spl13_7 ),
inference(superposition,[],[f279,f218]) ).
fof(f218,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| ~ spl13_6 ),
inference(backward_demodulation,[],[f72,f129]) ).
fof(f279,plain,
( ! [X9] : multiply(sk_c10,multiply(sk_c4,X9)) = X9
| ~ spl13_7 ),
inference(forward_demodulation,[],[f267,f1]) ).
fof(f267,plain,
( ! [X9] : multiply(identity,X9) = multiply(sk_c10,multiply(sk_c4,X9))
| ~ spl13_7 ),
inference(superposition,[],[f3,f224]) ).
fof(f188,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl13_17 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl13_17
<=> ! [X3] :
( sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).
fof(f503,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl13_6
| ~ spl13_7
| ~ spl13_32 ),
inference(backward_demodulation,[],[f222,f502]) ).
fof(f502,plain,
( sk_c10 = sk_c4
| ~ spl13_6
| ~ spl13_7
| ~ spl13_32 ),
inference(backward_demodulation,[],[f416,f479]) ).
fof(f479,plain,
( sk_c10 = multiply(inverse(sk_c10),identity)
| ~ spl13_6
| ~ spl13_7
| ~ spl13_32 ),
inference(backward_demodulation,[],[f418,f329]) ).
fof(f418,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c9)
| ~ spl13_6
| ~ spl13_7 ),
inference(superposition,[],[f282,f287]) ).
fof(f456,plain,
( spl13_32
| ~ spl13_2
| ~ spl13_10 ),
inference(avatar_split_clause,[],[f455,f146,f108,f328]) ).
fof(f108,plain,
( spl13_2
<=> sk_c7 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f146,plain,
( spl13_10
<=> sk_c9 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f455,plain,
( identity = sk_c9
| ~ spl13_2
| ~ spl13_10 ),
inference(forward_demodulation,[],[f453,f2]) ).
fof(f453,plain,
( sk_c9 = multiply(inverse(sk_c7),sk_c7)
| ~ spl13_2
| ~ spl13_10 ),
inference(superposition,[],[f282,f435]) ).
fof(f435,plain,
( sk_c7 = multiply(sk_c7,sk_c9)
| ~ spl13_2
| ~ spl13_10 ),
inference(forward_demodulation,[],[f422,f216]) ).
fof(f216,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl13_2 ),
inference(backward_demodulation,[],[f59,f110]) ).
fof(f110,plain,
( sk_c7 = sF6
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f59,plain,
inverse(sk_c6) = sF6,
introduced(function_definition,[]) ).
fof(f422,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c9)
| ~ spl13_10 ),
inference(superposition,[],[f282,f217]) ).
fof(f217,plain,
( sk_c9 = multiply(sk_c6,sk_c7)
| ~ spl13_10 ),
inference(backward_demodulation,[],[f54,f148]) ).
fof(f148,plain,
( sk_c9 = sF4
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f54,plain,
multiply(sk_c6,sk_c7) = sF4,
introduced(function_definition,[]) ).
fof(f403,plain,
( ~ spl13_44
| ~ spl13_11
| ~ spl13_17 ),
inference(avatar_split_clause,[],[f391,f187,f151,f400]) ).
fof(f391,plain,
( sk_c9 != sF3
| sk_c10 != inverse(sk_c1)
| ~ spl13_17 ),
inference(superposition,[],[f188,f53]) ).
fof(f377,plain,
( ~ spl13_40
| ~ spl13_32
| ~ spl13_16 ),
inference(avatar_split_clause,[],[f356,f184,f328,f374]) ).
fof(f184,plain,
( spl13_16
<=> ! [X7] :
( sk_c9 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).
fof(f356,plain,
( identity != sk_c9
| sk_c9 != inverse(inverse(sk_c8))
| ~ spl13_16 ),
inference(superposition,[],[f185,f2]) ).
fof(f185,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X7) )
| ~ spl13_16 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f372,plain,
( ~ spl13_5
| ~ spl13_12
| ~ spl13_16 ),
inference(avatar_contradiction_clause,[],[f371]) ).
fof(f371,plain,
( $false
| ~ spl13_5
| ~ spl13_12
| ~ spl13_16 ),
inference(subsumption_resolution,[],[f361,f219]) ).
fof(f219,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl13_12 ),
inference(backward_demodulation,[],[f69,f158]) ).
fof(f361,plain,
( sk_c9 != inverse(sk_c5)
| ~ spl13_5
| ~ spl13_16 ),
inference(trivial_inequality_removal,[],[f357]) ).
fof(f357,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c5)
| ~ spl13_5
| ~ spl13_16 ),
inference(superposition,[],[f185,f221]) ).
fof(f221,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl13_5 ),
inference(backward_demodulation,[],[f49,f124]) ).
fof(f370,plain,
( ~ spl13_38
| ~ spl13_39
| ~ spl13_16 ),
inference(avatar_split_clause,[],[f354,f184,f367,f363]) ).
fof(f354,plain,
( sk_c9 != inverse(identity)
| sk_c9 != sk_c8
| ~ spl13_16 ),
inference(superposition,[],[f185,f1]) ).
fof(f344,plain,
( ~ spl13_34
| ~ spl13_35
| ~ spl13_12
| ~ spl13_15 ),
inference(avatar_split_clause,[],[f292,f181,f156,f341,f337]) ).
fof(f181,plain,
( spl13_15
<=> ! [X8] :
( sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c9 != multiply(X8,inverse(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).
fof(f292,plain,
( sk_c9 != multiply(sk_c5,sk_c9)
| sk_c9 != multiply(sk_c9,sk_c8)
| ~ spl13_12
| ~ spl13_15 ),
inference(superposition,[],[f182,f219]) ).
fof(f182,plain,
( ! [X8] :
( sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c9 != multiply(X8,inverse(X8)) )
| ~ spl13_15 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f326,plain,
( ~ spl13_30
| ~ spl13_31
| ~ spl13_15 ),
inference(avatar_split_clause,[],[f294,f181,f323,f319]) ).
fof(f294,plain,
( sk_c9 != multiply(sF2,sk_c8)
| sk_c9 != multiply(sk_c2,sF2)
| ~ spl13_15 ),
inference(superposition,[],[f182,f51]) ).
fof(f308,plain,
( ~ spl13_2
| ~ spl13_8
| ~ spl13_10
| ~ spl13_15 ),
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f307,plain,
( $false
| ~ spl13_2
| ~ spl13_8
| ~ spl13_10
| ~ spl13_15 ),
inference(subsumption_resolution,[],[f306,f220]) ).
fof(f220,plain,
( sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl13_8 ),
inference(backward_demodulation,[],[f57,f139]) ).
fof(f139,plain,
( sk_c9 = sF5
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl13_8
<=> sk_c9 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f57,plain,
multiply(sk_c7,sk_c8) = sF5,
introduced(function_definition,[]) ).
fof(f306,plain,
( sk_c9 != multiply(sk_c7,sk_c8)
| ~ spl13_2
| ~ spl13_10
| ~ spl13_15 ),
inference(subsumption_resolution,[],[f293,f217]) ).
fof(f293,plain,
( sk_c9 != multiply(sk_c6,sk_c7)
| sk_c9 != multiply(sk_c7,sk_c8)
| ~ spl13_2
| ~ spl13_15 ),
inference(superposition,[],[f182,f216]) ).
fof(f244,plain,
( ~ spl13_6
| ~ spl13_7
| ~ spl13_14 ),
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f243,plain,
( $false
| ~ spl13_6
| ~ spl13_7
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f233,f222]) ).
fof(f233,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl13_6
| ~ spl13_14 ),
inference(trivial_inequality_removal,[],[f231]) ).
fof(f231,plain,
( sk_c10 != inverse(sk_c4)
| sk_c10 != sk_c10
| ~ spl13_6
| ~ spl13_14 ),
inference(superposition,[],[f179,f218]) ).
fof(f215,plain,
( spl13_5
| spl13_3 ),
inference(avatar_split_clause,[],[f52,f113,f122]) ).
fof(f52,plain,
( sk_c9 = sF2
| sk_c9 = sF1 ),
inference(definition_folding,[],[f28,f51,f49]) ).
fof(f28,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f214,plain,
( spl13_5
| spl13_1 ),
inference(avatar_split_clause,[],[f68,f104,f122]) ).
fof(f68,plain,
( sk_c10 = sF8
| sk_c9 = sF1 ),
inference(definition_folding,[],[f14,f49,f62]) ).
fof(f14,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f210,plain,
( spl13_11
| spl13_7 ),
inference(avatar_split_clause,[],[f82,f132,f151]) ).
fof(f82,plain,
( sk_c10 = sF7
| sk_c9 = sF3 ),
inference(definition_folding,[],[f4,f53,f61]) ).
fof(f4,axiom,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f209,plain,
( spl13_11
| spl13_5 ),
inference(avatar_split_clause,[],[f100,f122,f151]) ).
fof(f100,plain,
( sk_c9 = sF1
| sk_c9 = sF3 ),
inference(definition_folding,[],[f7,f49,f53]) ).
fof(f7,axiom,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f207,plain,
( spl13_1
| spl13_12 ),
inference(avatar_split_clause,[],[f88,f156,f104]) ).
fof(f88,plain,
( sk_c9 = sF11
| sk_c10 = sF8 ),
inference(definition_folding,[],[f13,f69,f62]) ).
fof(f13,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f206,plain,
( spl13_12
| spl13_11 ),
inference(avatar_split_clause,[],[f78,f151,f156]) ).
fof(f78,plain,
( sk_c9 = sF3
| sk_c9 = sF11 ),
inference(definition_folding,[],[f6,f53,f69]) ).
fof(f6,axiom,
( sk_c9 = inverse(sk_c5)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f202,plain,
( spl13_9
| spl13_12 ),
inference(avatar_split_clause,[],[f70,f156,f141]) ).
fof(f70,plain,
( sk_c9 = sF11
| sk_c10 = sF10 ),
inference(definition_folding,[],[f41,f69,f66]) ).
fof(f41,axiom,
( sk_c10 = multiply(sk_c3,sk_c8)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f200,plain,
( spl13_9
| spl13_6 ),
inference(avatar_split_clause,[],[f73,f127,f141]) ).
fof(f73,plain,
( sk_c10 = sF12
| sk_c10 = sF10 ),
inference(definition_folding,[],[f40,f66,f72]) ).
fof(f40,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f198,plain,
( spl13_5
| spl13_13 ),
inference(avatar_split_clause,[],[f50,f166,f122]) ).
fof(f50,plain,
( sk_c8 = sF0
| sk_c9 = sF1 ),
inference(definition_folding,[],[f21,f49,f48]) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f197,plain,
( spl13_12
| spl13_4 ),
inference(avatar_split_clause,[],[f74,f118,f156]) ).
fof(f74,plain,
( sk_c10 = sF9
| sk_c9 = sF11 ),
inference(definition_folding,[],[f34,f64,f69]) ).
fof(f34,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f195,plain,
( spl13_14
| spl13_15
| spl13_16
| spl13_17
| spl13_18
| spl13_19 ),
inference(avatar_split_clause,[],[f47,f193,f190,f187,f184,f181,f178]) ).
fof(f47,plain,
! [X3,X8,X6,X7,X4,X5] :
( sk_c8 != multiply(X4,sk_c9)
| sk_c10 != multiply(X5,sk_c8)
| sk_c10 != inverse(X3)
| sk_c9 != inverse(X7)
| sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X5)
| sk_c10 != multiply(X6,sk_c9)
| sk_c9 != inverse(X4)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != multiply(X8,inverse(X8))
| sk_c10 != inverse(X6) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X6)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X8,X9)
| sk_c8 != multiply(X4,sk_c9)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != multiply(X6,sk_c9)
| sk_c9 != inverse(X7)
| sk_c10 != inverse(X5)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != multiply(X9,sk_c8)
| sk_c10 != multiply(X5,sk_c8)
| sk_c9 != inverse(X4)
| inverse(X8) != X9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f176,plain,
( spl13_6
| spl13_4 ),
inference(avatar_split_clause,[],[f99,f118,f127]) ).
fof(f99,plain,
( sk_c10 = sF9
| sk_c10 = sF12 ),
inference(definition_folding,[],[f33,f72,f64]) ).
fof(f33,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c10 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f174,plain,
( spl13_1
| spl13_8 ),
inference(avatar_split_clause,[],[f71,f137,f104]) ).
fof(f71,plain,
( sk_c9 = sF5
| sk_c10 = sF8 ),
inference(definition_folding,[],[f17,f62,f57]) ).
fof(f17,axiom,
( sk_c9 = multiply(sk_c7,sk_c8)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f173,plain,
( spl13_6
| spl13_11 ),
inference(avatar_split_clause,[],[f89,f151,f127]) ).
fof(f89,plain,
( sk_c9 = sF3
| sk_c10 = sF12 ),
inference(definition_folding,[],[f5,f72,f53]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c10 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f172,plain,
( spl13_12
| spl13_13 ),
inference(avatar_split_clause,[],[f92,f166,f156]) ).
fof(f92,plain,
( sk_c8 = sF0
| sk_c9 = sF11 ),
inference(definition_folding,[],[f20,f69,f48]) ).
fof(f20,axiom,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f170,plain,
( spl13_11
| spl13_8 ),
inference(avatar_split_clause,[],[f58,f137,f151]) ).
fof(f58,plain,
( sk_c9 = sF5
| sk_c9 = sF3 ),
inference(definition_folding,[],[f10,f53,f57]) ).
fof(f10,axiom,
( sk_c9 = multiply(sk_c7,sk_c8)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f164,plain,
( spl13_6
| spl13_1 ),
inference(avatar_split_clause,[],[f84,f104,f127]) ).
fof(f84,plain,
( sk_c10 = sF8
| sk_c10 = sF12 ),
inference(definition_folding,[],[f12,f62,f72]) ).
fof(f12,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f162,plain,
( spl13_11
| spl13_2 ),
inference(avatar_split_clause,[],[f75,f108,f151]) ).
fof(f75,plain,
( sk_c7 = sF6
| sk_c9 = sF3 ),
inference(definition_folding,[],[f9,f59,f53]) ).
fof(f9,axiom,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f161,plain,
( spl13_7
| spl13_1 ),
inference(avatar_split_clause,[],[f63,f104,f132]) ).
fof(f63,plain,
( sk_c10 = sF8
| sk_c10 = sF7 ),
inference(definition_folding,[],[f11,f62,f61]) ).
fof(f11,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f160,plain,
( spl13_7
| spl13_9 ),
inference(avatar_split_clause,[],[f67,f141,f132]) ).
fof(f67,plain,
( sk_c10 = sF10
| sk_c10 = sF7 ),
inference(definition_folding,[],[f39,f61,f66]) ).
fof(f39,axiom,
( sk_c10 = multiply(sk_c3,sk_c8)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f159,plain,
( spl13_3
| spl13_12 ),
inference(avatar_split_clause,[],[f90,f156,f113]) ).
fof(f90,plain,
( sk_c9 = sF11
| sk_c9 = sF2 ),
inference(definition_folding,[],[f27,f51,f69]) ).
fof(f27,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f154,plain,
( spl13_11
| spl13_10 ),
inference(avatar_split_clause,[],[f55,f146,f151]) ).
fof(f55,plain,
( sk_c9 = sF4
| sk_c9 = sF3 ),
inference(definition_folding,[],[f8,f54,f53]) ).
fof(f8,axiom,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f149,plain,
( spl13_1
| spl13_10 ),
inference(avatar_split_clause,[],[f83,f146,f104]) ).
fof(f83,plain,
( sk_c9 = sF4
| sk_c10 = sF8 ),
inference(definition_folding,[],[f15,f54,f62]) ).
fof(f15,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f135,plain,
( spl13_4
| spl13_7 ),
inference(avatar_split_clause,[],[f80,f132,f118]) ).
fof(f80,plain,
( sk_c10 = sF7
| sk_c10 = sF9 ),
inference(definition_folding,[],[f32,f64,f61]) ).
fof(f32,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f111,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f81,f108,f104]) ).
fof(f81,plain,
( sk_c7 = sF6
| sk_c10 = sF8 ),
inference(definition_folding,[],[f16,f62,f59]) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP248-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:26:24 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.19/0.48 % (8604)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.48 % (8588)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (8604)Refutation not found, incomplete strategy% (8604)------------------------------
% 0.19/0.50 % (8604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (8604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (8604)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (8604)Memory used [KB]: 5884
% 0.19/0.50 % (8604)Time elapsed: 0.076 s
% 0.19/0.50 % (8604)Instructions burned: 4 (million)
% 0.19/0.50 % (8604)------------------------------
% 0.19/0.50 % (8604)------------------------------
% 0.19/0.51 % (8593)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.53 % (8582)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.53 % (8596)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.53 % (8583)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.53 % (8583)Instruction limit reached!
% 0.19/0.53 % (8583)------------------------------
% 0.19/0.53 % (8583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (8583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (8583)Termination reason: Unknown
% 0.19/0.53 % (8583)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (8583)Memory used [KB]: 5884
% 0.19/0.53 % (8583)Time elapsed: 0.003 s
% 0.19/0.53 % (8583)Instructions burned: 4 (million)
% 0.19/0.53 % (8583)------------------------------
% 0.19/0.53 % (8583)------------------------------
% 0.19/0.53 % (8584)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.53 % (8596)Instruction limit reached!
% 0.19/0.53 % (8596)------------------------------
% 0.19/0.53 % (8596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (8596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (8596)Termination reason: Unknown
% 0.19/0.53 % (8596)Termination phase: Finite model building preprocessing
% 0.19/0.53
% 0.19/0.53 % (8596)Memory used [KB]: 1535
% 0.19/0.53 % (8596)Time elapsed: 0.005 s
% 0.19/0.53 % (8596)Instructions burned: 6 (million)
% 0.19/0.53 % (8596)------------------------------
% 0.19/0.53 % (8596)------------------------------
% 0.19/0.53 % (8585)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.53 % (8595)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.53 % (8605)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.53 % (8586)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (8607)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.19/0.54 % (8581)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.54 % (8594)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54 % (8593)Instruction limit reached!
% 0.19/0.54 % (8593)------------------------------
% 0.19/0.54 % (8593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (8593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (8593)Termination reason: Unknown
% 0.19/0.54 % (8593)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (8593)Memory used [KB]: 5884
% 0.19/0.54 % (8593)Time elapsed: 0.126 s
% 0.19/0.54 % (8593)Instructions burned: 5 (million)
% 0.19/0.54 % (8593)------------------------------
% 0.19/0.54 % (8593)------------------------------
% 0.19/0.54 % (8594)Instruction limit reached!
% 0.19/0.54 % (8594)------------------------------
% 0.19/0.54 % (8594)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (8594)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (8594)Termination reason: Unknown
% 0.19/0.54 % (8594)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (8594)Memory used [KB]: 5884
% 0.19/0.54 % (8594)Time elapsed: 0.003 s
% 0.19/0.54 % (8594)Instructions burned: 4 (million)
% 0.19/0.54 % (8594)------------------------------
% 0.19/0.54 % (8594)------------------------------
% 0.19/0.54 % (8609)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.54 % (8608)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.54 % (8599)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.54 % (8587)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.54 % (8610)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (8588)Instruction limit reached!
% 0.19/0.54 % (8588)------------------------------
% 0.19/0.54 % (8588)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (8588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (8588)Termination reason: Unknown
% 0.19/0.54 % (8588)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (8588)Memory used [KB]: 6652
% 0.19/0.54 % (8588)Time elapsed: 0.118 s
% 0.19/0.54 % (8588)Instructions burned: 52 (million)
% 0.19/0.54 % (8588)------------------------------
% 0.19/0.54 % (8588)------------------------------
% 0.19/0.54 % (8601)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.54 % (8603)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.55 % (8597)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55 % (8600)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55 % (8597)Instruction limit reached!
% 0.19/0.55 % (8597)------------------------------
% 0.19/0.55 % (8597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (8597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (8597)Termination reason: Unknown
% 0.19/0.55 % (8597)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (8597)Memory used [KB]: 5884
% 0.19/0.55 % (8597)Time elapsed: 0.003 s
% 0.19/0.55 % (8597)Instructions burned: 3 (million)
% 0.19/0.55 % (8597)------------------------------
% 0.19/0.55 % (8597)------------------------------
% 0.19/0.55 % (8591)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.55 % (8601)Instruction limit reached!
% 0.19/0.55 % (8601)------------------------------
% 0.19/0.55 % (8601)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (8601)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (8601)Termination reason: Unknown
% 0.19/0.55 % (8601)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (8601)Memory used [KB]: 1407
% 0.19/0.55 % (8601)Time elapsed: 0.005 s
% 0.19/0.55 % (8601)Instructions burned: 7 (million)
% 0.19/0.55 % (8601)------------------------------
% 0.19/0.55 % (8601)------------------------------
% 0.19/0.55 % (8602)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.55 % (8591)Instruction limit reached!
% 0.19/0.55 % (8591)------------------------------
% 0.19/0.55 % (8591)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (8591)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (8591)Termination reason: Unknown
% 0.19/0.55 % (8591)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (8591)Memory used [KB]: 5884
% 0.19/0.55 % (8591)Time elapsed: 0.139 s
% 0.19/0.55 % (8591)Instructions burned: 6 (million)
% 0.19/0.55 % (8591)------------------------------
% 0.19/0.55 % (8591)------------------------------
% 0.19/0.55 % (8589)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.55 % (8589)Instruction limit reached!
% 0.19/0.55 % (8589)------------------------------
% 0.19/0.55 % (8589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (8589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (8589)Termination reason: Unknown
% 0.19/0.55 % (8589)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (8589)Memory used [KB]: 5884
% 0.19/0.55 % (8589)Time elapsed: 0.003 s
% 0.19/0.55 % (8589)Instructions burned: 4 (million)
% 0.19/0.55 % (8589)------------------------------
% 0.19/0.55 % (8589)------------------------------
% 0.19/0.55 % (8592)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.56 % (8606)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.56 % (8590)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.56 % (8609)Instruction limit reached!
% 0.19/0.56 % (8609)------------------------------
% 0.19/0.56 % (8609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (8609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (8609)Termination reason: Unknown
% 0.19/0.56 % (8609)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (8609)Memory used [KB]: 6396
% 0.19/0.56 % (8609)Time elapsed: 0.148 s
% 0.19/0.56 % (8609)Instructions burned: 21 (million)
% 0.19/0.56 % (8609)------------------------------
% 0.19/0.56 % (8609)------------------------------
% 1.50/0.57 % (8600)Instruction limit reached!
% 1.50/0.57 % (8600)------------------------------
% 1.50/0.57 % (8600)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.57 % (8600)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.57 % (8600)Termination reason: Unknown
% 1.50/0.57 % (8600)Termination phase: Saturation
% 1.50/0.57
% 1.50/0.57 % (8600)Memory used [KB]: 6012
% 1.50/0.57 % (8600)Time elapsed: 0.167 s
% 1.50/0.57 % (8600)Instructions burned: 8 (million)
% 1.50/0.57 % (8600)------------------------------
% 1.50/0.57 % (8600)------------------------------
% 1.50/0.57 % (8598)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.50/0.57 % (8585)Instruction limit reached!
% 1.50/0.57 % (8585)------------------------------
% 1.50/0.57 % (8585)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.58 % (8585)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.58 % (8585)Termination reason: Unknown
% 1.50/0.58 % (8585)Termination phase: Saturation
% 1.50/0.58
% 1.50/0.58 % (8585)Memory used [KB]: 6524
% 1.50/0.58 % (8585)Time elapsed: 0.170 s
% 1.50/0.58 % (8585)Instructions burned: 35 (million)
% 1.50/0.58 % (8585)------------------------------
% 1.50/0.58 % (8585)------------------------------
% 1.50/0.58 % (8598)Instruction limit reached!
% 1.50/0.58 % (8598)------------------------------
% 1.50/0.58 % (8598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.58 % (8598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.58 % (8598)Termination reason: Unknown
% 1.50/0.58 % (8598)Termination phase: Saturation
% 1.50/0.58
% 1.50/0.58 % (8598)Memory used [KB]: 6012
% 1.50/0.58 % (8598)Time elapsed: 0.168 s
% 1.50/0.58 % (8598)Instructions burned: 8 (million)
% 1.50/0.58 % (8598)------------------------------
% 1.50/0.58 % (8598)------------------------------
% 1.50/0.58 % (8606)Refutation not found, incomplete strategy% (8606)------------------------------
% 1.50/0.58 % (8606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.58 % (8606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.58 % (8606)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.58
% 1.50/0.58 % (8606)Memory used [KB]: 6012
% 1.50/0.58 % (8606)Time elapsed: 0.149 s
% 1.50/0.58 % (8606)Instructions burned: 8 (million)
% 1.50/0.58 % (8606)------------------------------
% 1.50/0.58 % (8606)------------------------------
% 1.50/0.58 % (8586)Instruction limit reached!
% 1.50/0.58 % (8586)------------------------------
% 1.50/0.58 % (8586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.58 % (8586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.58 % (8586)Termination reason: Unknown
% 1.50/0.58 % (8586)Termination phase: Saturation
% 1.50/0.58
% 1.50/0.58 % (8586)Memory used [KB]: 6268
% 1.50/0.58 % (8586)Time elapsed: 0.176 s
% 1.50/0.58 % (8586)Instructions burned: 25 (million)
% 1.50/0.58 % (8586)------------------------------
% 1.50/0.58 % (8586)------------------------------
% 1.50/0.58 % (8584)Instruction limit reached!
% 1.50/0.58 % (8584)------------------------------
% 1.50/0.58 % (8584)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.58 % (8584)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.58 % (8584)Termination reason: Unknown
% 1.50/0.58 % (8584)Termination phase: Saturation
% 1.50/0.58
% 1.84/0.59 % (8595)Instruction limit reached!
% 1.84/0.59 % (8595)------------------------------
% 1.84/0.59 % (8595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.59 % (8595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.59 % (8595)Termination reason: Unknown
% 1.84/0.59 % (8595)Termination phase: Saturation
% 1.84/0.59
% 1.84/0.59 % (8595)Memory used [KB]: 1663
% 1.84/0.59 % (8595)Time elapsed: 0.133 s
% 1.84/0.59 % (8595)Instructions burned: 31 (million)
% 1.84/0.59 % (8595)------------------------------
% 1.84/0.59 % (8595)------------------------------
% 1.84/0.59 % (8581)First to succeed.
% 1.84/0.59 % (8599)Instruction limit reached!
% 1.84/0.59 % (8599)------------------------------
% 1.84/0.59 % (8599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.59 % (8599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.59 % (8599)Termination reason: Unknown
% 1.84/0.59 % (8599)Termination phase: Saturation
% 1.84/0.59
% 1.84/0.59 % (8599)Memory used [KB]: 10746
% 1.84/0.59 % (8599)Time elapsed: 0.172 s
% 1.84/0.59 % (8599)Instructions burned: 28 (million)
% 1.84/0.59 % (8599)------------------------------
% 1.84/0.59 % (8599)------------------------------
% 1.84/0.60 % (8592)Instruction limit reached!
% 1.84/0.60 % (8592)------------------------------
% 1.84/0.60 % (8592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.60 % (8592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.60 % (8592)Termination reason: Unknown
% 1.84/0.60 % (8592)Termination phase: Saturation
% 1.84/0.60
% 1.84/0.60 % (8592)Memory used [KB]: 6268
% 1.84/0.60 % (8592)Time elapsed: 0.157 s
% 1.84/0.60 % (8592)Instructions burned: 23 (million)
% 1.84/0.60 % (8592)------------------------------
% 1.84/0.60 % (8592)------------------------------
% 1.84/0.60 % (8584)Memory used [KB]: 6652
% 1.84/0.60 % (8584)Time elapsed: 0.163 s
% 1.84/0.60 % (8584)Instructions burned: 44 (million)
% 1.84/0.60 % (8584)------------------------------
% 1.84/0.60 % (8584)------------------------------
% 1.84/0.61 % (8605)Instruction limit reached!
% 1.84/0.61 % (8605)------------------------------
% 1.84/0.61 % (8605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.62 % (8581)Refutation found. Thanks to Tanya!
% 1.84/0.62 % SZS status Unsatisfiable for theBenchmark
% 1.84/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.84/0.62 % (8581)------------------------------
% 1.84/0.62 % (8581)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.62 % (8581)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.62 % (8581)Termination reason: Refutation
% 1.84/0.62
% 1.84/0.62 % (8581)Memory used [KB]: 6396
% 1.84/0.62 % (8581)Time elapsed: 0.189 s
% 1.84/0.62 % (8581)Instructions burned: 38 (million)
% 1.84/0.62 % (8581)------------------------------
% 1.84/0.62 % (8581)------------------------------
% 1.84/0.62 % (8580)Success in time 0.249 s
%------------------------------------------------------------------------------