TSTP Solution File: GRP372-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP372-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n014.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 : Thu Aug 31 01:23:33 EDT 2023
% Result : Unsatisfiable 0.21s 0.48s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 59
% Syntax : Number of formulae : 282 ( 19 unt; 0 def)
% Number of atoms : 1021 ( 345 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1436 ( 697 ~; 718 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-2 aty)
% Number of variables : 79 (; 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1195,plain,
$false,
inference(avatar_sat_refutation,[],[f124,f128,f132,f133,f147,f168,f169,f170,f171,f172,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f195,f196,f200,f201,f203,f204,f205,f264,f364,f380,f407,f472,f547,f552,f907,f915,f1045,f1057,f1162,f1193]) ).
fof(f1193,plain,
( ~ spl15_5
| ~ spl15_6
| ~ spl15_8
| ~ spl15_16
| ~ spl15_18 ),
inference(avatar_contradiction_clause,[],[f1192]) ).
fof(f1192,plain,
( $false
| ~ spl15_5
| ~ spl15_6
| ~ spl15_8
| ~ spl15_16
| ~ spl15_18 ),
inference(trivial_inequality_removal,[],[f1191]) ).
fof(f1191,plain,
( sk_c7 != sk_c7
| ~ spl15_5
| ~ spl15_6
| ~ spl15_8
| ~ spl15_16
| ~ spl15_18 ),
inference(duplicate_literal_removal,[],[f1188]) ).
fof(f1188,plain,
( sk_c7 != sk_c7
| sk_c7 != sk_c7
| ~ spl15_5
| ~ spl15_6
| ~ spl15_8
| ~ spl15_16
| ~ spl15_18 ),
inference(superposition,[],[f1109,f1129]) ).
fof(f1129,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18 ),
inference(superposition,[],[f826,f1108]) ).
fof(f1108,plain,
( ! [X3] : multiply(X3,sk_c7) = X3
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18 ),
inference(backward_demodulation,[],[f1097,f1098]) ).
fof(f1098,plain,
! [X4,X5] : multiply(X4,X5) = multiply(inverse(inverse(X4)),X5),
inference(superposition,[],[f500,f500]) ).
fof(f500,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f499,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',left_identity) ).
fof(f499,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',associativity) ).
fof(f1097,plain,
( ! [X3] : multiply(inverse(inverse(X3)),sk_c7) = X3
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18 ),
inference(superposition,[],[f500,f826]) ).
fof(f826,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c7
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18 ),
inference(backward_demodulation,[],[f2,f824]) ).
fof(f824,plain,
( identity = sk_c7
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18 ),
inference(forward_demodulation,[],[f821,f494]) ).
fof(f494,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl15_6 ),
inference(superposition,[],[f2,f479]) ).
fof(f479,plain,
( inverse(sk_c8) = sk_c7
| ~ spl15_6 ),
inference(forward_demodulation,[],[f48,f119]) ).
fof(f119,plain,
( sk_c7 = sF3
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl15_6
<=> sk_c7 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f48,plain,
inverse(sk_c8) = sF3,
introduced(function_definition,[]) ).
fof(f821,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18 ),
inference(backward_demodulation,[],[f481,f820]) ).
fof(f820,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
| ~ spl15_6
| ~ spl15_16 ),
inference(forward_demodulation,[],[f819,f1]) ).
fof(f819,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(identity,X0))
| ~ spl15_6
| ~ spl15_16 ),
inference(superposition,[],[f3,f601]) ).
fof(f601,plain,
( sk_c1 = multiply(sk_c7,identity)
| ~ spl15_6
| ~ spl15_16 ),
inference(superposition,[],[f506,f497]) ).
fof(f497,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl15_16 ),
inference(superposition,[],[f2,f484]) ).
fof(f484,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl15_16 ),
inference(backward_demodulation,[],[f64,f167]) ).
fof(f167,plain,
( sk_c8 = sF12
| ~ spl15_16 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl15_16
<=> sk_c8 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f64,plain,
inverse(sk_c1) = sF12,
introduced(function_definition,[]) ).
fof(f506,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl15_6 ),
inference(forward_demodulation,[],[f505,f1]) ).
fof(f505,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl15_6 ),
inference(superposition,[],[f3,f494]) ).
fof(f481,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl15_18 ),
inference(backward_demodulation,[],[f73,f182]) ).
fof(f182,plain,
( sk_c7 = sF14
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl15_18
<=> sk_c7 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f73,plain,
multiply(sk_c1,sk_c8) = sF14,
introduced(function_definition,[]) ).
fof(f1109,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != X4 )
| ~ spl15_5
| ~ spl15_6
| ~ spl15_8
| ~ spl15_16
| ~ spl15_18 ),
inference(backward_demodulation,[],[f1003,f1108]) ).
fof(f1003,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl15_5
| ~ spl15_6
| ~ spl15_8
| ~ spl15_16
| ~ spl15_18 ),
inference(forward_demodulation,[],[f127,f843]) ).
fof(f843,plain,
( sk_c7 = sk_c6
| ~ spl15_5
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18 ),
inference(backward_demodulation,[],[f598,f825]) ).
fof(f825,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18 ),
inference(backward_demodulation,[],[f1,f824]) ).
fof(f598,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl15_5
| ~ spl15_6 ),
inference(superposition,[],[f506,f554]) ).
fof(f554,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl15_5 ),
inference(forward_demodulation,[],[f49,f115]) ).
fof(f115,plain,
( sk_c7 = sF4
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl15_5
<=> sk_c7 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f49,plain,
multiply(sk_c8,sk_c6) = sF4,
introduced(function_definition,[]) ).
fof(f127,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) )
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl15_8
<=> ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f1162,plain,
( ~ spl15_6
| ~ spl15_12
| spl15_14
| ~ spl15_16
| ~ spl15_18
| ~ spl15_22 ),
inference(avatar_contradiction_clause,[],[f1161]) ).
fof(f1161,plain,
( $false
| ~ spl15_6
| ~ spl15_12
| spl15_14
| ~ spl15_16
| ~ spl15_18
| ~ spl15_22 ),
inference(trivial_inequality_removal,[],[f1160]) ).
fof(f1160,plain,
( sk_c7 != sk_c7
| ~ spl15_6
| ~ spl15_12
| spl15_14
| ~ spl15_16
| ~ spl15_18
| ~ spl15_22 ),
inference(forward_demodulation,[],[f155,f1159]) ).
fof(f1159,plain,
( sk_c7 = sF10
| ~ spl15_6
| ~ spl15_12
| ~ spl15_16
| ~ spl15_18
| ~ spl15_22 ),
inference(forward_demodulation,[],[f1158,f1148]) ).
fof(f1148,plain,
( sk_c7 = sk_c3
| ~ spl15_6
| ~ spl15_12
| ~ spl15_16
| ~ spl15_18
| ~ spl15_22 ),
inference(forward_demodulation,[],[f1147,f825]) ).
fof(f1147,plain,
( sk_c7 = multiply(sk_c7,sk_c3)
| ~ spl15_6
| ~ spl15_12
| ~ spl15_16
| ~ spl15_18
| ~ spl15_22 ),
inference(forward_demodulation,[],[f830,f1144]) ).
fof(f1144,plain,
( sk_c7 = sF8
| ~ spl15_6
| ~ spl15_12
| ~ spl15_16
| ~ spl15_18
| ~ spl15_22 ),
inference(backward_demodulation,[],[f146,f1143]) ).
fof(f1143,plain,
( sk_c8 = sk_c7
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18
| ~ spl15_22 ),
inference(forward_demodulation,[],[f540,f1129]) ).
fof(f540,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl15_22 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f539,plain,
( spl15_22
<=> sk_c8 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).
fof(f146,plain,
( sk_c8 = sF8
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl15_12
<=> sk_c8 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f830,plain,
( sk_c7 = multiply(sF8,sk_c3)
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18 ),
inference(backward_demodulation,[],[f555,f824]) ).
fof(f555,plain,
identity = multiply(sF8,sk_c3),
inference(superposition,[],[f2,f55]) ).
fof(f55,plain,
inverse(sk_c3) = sF8,
introduced(function_definition,[]) ).
fof(f1158,plain,
( sk_c3 = sF10
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18
| ~ spl15_22 ),
inference(forward_demodulation,[],[f1157,f1108]) ).
fof(f1157,plain,
( sF10 = multiply(sk_c3,sk_c7)
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18
| ~ spl15_22 ),
inference(forward_demodulation,[],[f59,f1143]) ).
fof(f59,plain,
multiply(sk_c3,sk_c8) = sF10,
introduced(function_definition,[]) ).
fof(f155,plain,
( sk_c7 != sF10
| spl15_14 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl15_14
<=> sk_c7 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f1057,plain,
( ~ spl15_6
| ~ spl15_16
| ~ spl15_18
| spl15_22 ),
inference(avatar_contradiction_clause,[],[f1056]) ).
fof(f1056,plain,
( $false
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18
| spl15_22 ),
inference(global_subsumption,[],[f960,f541]) ).
fof(f541,plain,
( sk_c8 != inverse(sk_c7)
| spl15_22 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f960,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18 ),
inference(forward_demodulation,[],[f484,f911]) ).
fof(f911,plain,
( sk_c7 = sk_c1
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18 ),
inference(forward_demodulation,[],[f831,f825]) ).
fof(f831,plain,
( sk_c1 = multiply(sk_c7,sk_c7)
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18 ),
inference(backward_demodulation,[],[f601,f824]) ).
fof(f1045,plain,
( spl15_4
| ~ spl15_5
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18 ),
inference(avatar_contradiction_clause,[],[f1044]) ).
fof(f1044,plain,
( $false
| spl15_4
| ~ spl15_5
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18 ),
inference(global_subsumption,[],[f1006,f1009]) ).
fof(f1009,plain,
( sk_c7 = sF5
| ~ spl15_5
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18 ),
inference(backward_demodulation,[],[f50,f990]) ).
fof(f990,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl15_5
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18 ),
inference(forward_demodulation,[],[f989,f825]) ).
fof(f989,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl15_5
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18 ),
inference(forward_demodulation,[],[f836,f843]) ).
fof(f836,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
| ~ spl15_5
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18 ),
inference(backward_demodulation,[],[f558,f825]) ).
fof(f558,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| ~ spl15_5 ),
inference(superposition,[],[f3,f554]) ).
fof(f50,plain,
multiply(sk_c8,sk_c7) = sF5,
introduced(function_definition,[]) ).
fof(f1006,plain,
( sk_c7 != sF5
| spl15_4
| ~ spl15_5
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18 ),
inference(forward_demodulation,[],[f112,f843]) ).
fof(f112,plain,
( sk_c6 != sF5
| spl15_4 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl15_4
<=> sk_c6 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f915,plain,
( ~ spl15_4
| ~ spl15_6
| ~ spl15_9
| ~ spl15_16
| ~ spl15_18 ),
inference(avatar_contradiction_clause,[],[f914]) ).
fof(f914,plain,
( $false
| ~ spl15_4
| ~ spl15_6
| ~ spl15_9
| ~ spl15_16
| ~ spl15_18 ),
inference(global_subsumption,[],[f595,f844]) ).
fof(f844,plain,
( sk_c7 = sk_c6
| ~ spl15_4
| ~ spl15_6
| ~ spl15_16
| ~ spl15_18 ),
inference(backward_demodulation,[],[f597,f825]) ).
fof(f597,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl15_4
| ~ spl15_6 ),
inference(superposition,[],[f506,f211]) ).
fof(f211,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl15_4 ),
inference(backward_demodulation,[],[f50,f111]) ).
fof(f111,plain,
( sk_c6 = sF5
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f595,plain,
( sk_c7 != sk_c6
| ~ spl15_4
| ~ spl15_9
| ~ spl15_16
| ~ spl15_18 ),
inference(trivial_inequality_removal,[],[f594]) ).
fof(f594,plain,
( sk_c8 != sk_c8
| sk_c7 != sk_c6
| ~ spl15_4
| ~ spl15_9
| ~ spl15_16
| ~ spl15_18 ),
inference(forward_demodulation,[],[f593,f484]) ).
fof(f593,plain,
( sk_c7 != sk_c6
| sk_c8 != inverse(sk_c1)
| ~ spl15_4
| ~ spl15_9
| ~ spl15_18 ),
inference(forward_demodulation,[],[f567,f211]) ).
fof(f567,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| sk_c8 != inverse(sk_c1)
| ~ spl15_9
| ~ spl15_18 ),
inference(superposition,[],[f131,f481]) ).
fof(f131,plain,
( ! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) )
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl15_9
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f907,plain,
( ~ spl15_4
| ~ spl15_6
| ~ spl15_9
| ~ spl15_11
| ~ spl15_16
| ~ spl15_18 ),
inference(avatar_contradiction_clause,[],[f906]) ).
fof(f906,plain,
( $false
| ~ spl15_4
| ~ spl15_6
| ~ spl15_9
| ~ spl15_11
| ~ spl15_16
| ~ spl15_18 ),
inference(global_subsumption,[],[f595,f844]) ).
fof(f552,plain,
( ~ spl15_7
| ~ spl15_16
| ~ spl15_18 ),
inference(avatar_contradiction_clause,[],[f551]) ).
fof(f551,plain,
( $false
| ~ spl15_7
| ~ spl15_16
| ~ spl15_18 ),
inference(trivial_inequality_removal,[],[f550]) ).
fof(f550,plain,
( sk_c8 != sk_c8
| ~ spl15_7
| ~ spl15_16
| ~ spl15_18 ),
inference(forward_demodulation,[],[f528,f484]) ).
fof(f528,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl15_7
| ~ spl15_18 ),
inference(trivial_inequality_removal,[],[f527]) ).
fof(f527,plain,
( sk_c7 != sk_c7
| sk_c8 != inverse(sk_c1)
| ~ spl15_7
| ~ spl15_18 ),
inference(superposition,[],[f123,f481]) ).
fof(f123,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) )
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl15_7
<=> ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f547,plain,
( ~ spl15_7
| ~ spl15_12
| ~ spl15_14 ),
inference(avatar_contradiction_clause,[],[f546]) ).
fof(f546,plain,
( $false
| ~ spl15_7
| ~ spl15_12
| ~ spl15_14 ),
inference(trivial_inequality_removal,[],[f545]) ).
fof(f545,plain,
( sk_c8 != sk_c8
| ~ spl15_7
| ~ spl15_12
| ~ spl15_14 ),
inference(forward_demodulation,[],[f529,f209]) ).
fof(f209,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl15_12 ),
inference(backward_demodulation,[],[f55,f146]) ).
fof(f529,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl15_7
| ~ spl15_14 ),
inference(trivial_inequality_removal,[],[f525]) ).
fof(f525,plain,
( sk_c7 != sk_c7
| sk_c8 != inverse(sk_c3)
| ~ spl15_7
| ~ spl15_14 ),
inference(superposition,[],[f123,f207]) ).
fof(f207,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl15_14 ),
inference(backward_demodulation,[],[f59,f156]) ).
fof(f156,plain,
( sk_c7 = sF10
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f472,plain,
( ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f471,plain,
( $false
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(trivial_inequality_removal,[],[f470]) ).
fof(f470,plain,
( sk_c7 != sk_c7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(duplicate_literal_removal,[],[f465]) ).
fof(f465,plain,
( sk_c7 != sk_c7
| sk_c7 != sk_c7
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(superposition,[],[f437,f324]) ).
fof(f324,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f236,f322]) ).
fof(f322,plain,
( sk_c7 = sF3
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f321,f236]) ).
fof(f321,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f243,f309]) ).
fof(f309,plain,
( sk_c7 = sk_c3
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f300,f302]) ).
fof(f302,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f1,f297]) ).
fof(f297,plain,
( identity = sk_c7
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f294,f267]) ).
fof(f267,plain,
( identity = multiply(sF3,sk_c7)
| ~ spl15_10
| ~ spl15_13
| ~ spl15_15 ),
inference(superposition,[],[f2,f236]) ).
fof(f294,plain,
( sk_c7 = multiply(sF3,sk_c7)
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f241,f287]) ).
fof(f287,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sF3,X0)
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15 ),
inference(superposition,[],[f280,f250]) ).
fof(f250,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15 ),
inference(backward_demodulation,[],[f219,f235]) ).
fof(f235,plain,
( sk_c8 = sk_c7
| ~ spl15_10
| ~ spl15_13
| ~ spl15_15 ),
inference(forward_demodulation,[],[f233,f206]) ).
fof(f206,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ spl15_15 ),
inference(backward_demodulation,[],[f61,f161]) ).
fof(f161,plain,
( sk_c7 = sF11
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl15_15
<=> sk_c7 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f61,plain,
multiply(sk_c8,sk_c5) = sF11,
introduced(function_definition,[]) ).
fof(f233,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl15_10
| ~ spl15_13 ),
inference(superposition,[],[f221,f208]) ).
fof(f208,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| ~ spl15_13 ),
inference(backward_demodulation,[],[f57,f151]) ).
fof(f151,plain,
( sk_c5 = sF9
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl15_13
<=> sk_c5 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f57,plain,
multiply(sk_c4,sk_c8) = sF9,
introduced(function_definition,[]) ).
fof(f221,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl15_10 ),
inference(forward_demodulation,[],[f220,f1]) ).
fof(f220,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl15_10 ),
inference(superposition,[],[f3,f213]) ).
fof(f213,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl15_10 ),
inference(superposition,[],[f2,f210]) ).
fof(f210,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl15_10 ),
inference(backward_demodulation,[],[f53,f137]) ).
fof(f137,plain,
( sk_c8 = sF7
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl15_10
<=> sk_c8 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f53,plain,
inverse(sk_c4) = sF7,
introduced(function_definition,[]) ).
fof(f219,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
| ~ spl15_12 ),
inference(forward_demodulation,[],[f218,f1]) ).
fof(f218,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl15_12 ),
inference(superposition,[],[f3,f212]) ).
fof(f212,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl15_12 ),
inference(superposition,[],[f2,f209]) ).
fof(f280,plain,
( ! [X0] : multiply(sF3,multiply(sk_c7,X0)) = X0
| ~ spl15_10
| ~ spl15_13
| ~ spl15_15 ),
inference(forward_demodulation,[],[f279,f1]) ).
fof(f279,plain,
( ! [X0] : multiply(identity,X0) = multiply(sF3,multiply(sk_c7,X0))
| ~ spl15_10
| ~ spl15_13
| ~ spl15_15 ),
inference(superposition,[],[f3,f267]) ).
fof(f241,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| ~ spl15_10
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f207,f235]) ).
fof(f300,plain,
( sk_c7 = multiply(sk_c7,sk_c3)
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f245,f297]) ).
fof(f245,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15 ),
inference(backward_demodulation,[],[f212,f235]) ).
fof(f243,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_15 ),
inference(backward_demodulation,[],[f209,f235]) ).
fof(f236,plain,
( sF3 = inverse(sk_c7)
| ~ spl15_10
| ~ spl15_13
| ~ spl15_15 ),
inference(backward_demodulation,[],[f48,f235]) ).
fof(f437,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| sk_c7 != X7 )
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f415,f436]) ).
fof(f436,plain,
( ! [X3] : multiply(X3,sk_c7) = X3
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f420,f421]) ).
fof(f421,plain,
( ! [X4,X5] : multiply(X4,X5) = multiply(inverse(inverse(X4)),X5)
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(superposition,[],[f352,f352]) ).
fof(f352,plain,
( ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f351,f302]) ).
fof(f351,plain,
( ! [X0,X1] : multiply(sk_c7,X1) = multiply(inverse(X0),multiply(X0,X1))
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(superposition,[],[f3,f301]) ).
fof(f301,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c7
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f2,f297]) ).
fof(f420,plain,
( ! [X3] : multiply(inverse(inverse(X3)),sk_c7) = X3
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(superposition,[],[f352,f301]) ).
fof(f415,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c7)
| sk_c7 != inverse(X7) )
| ~ spl15_9
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f414,f302]) ).
fof(f414,plain,
( ! [X7] :
( sk_c7 != multiply(sk_c7,multiply(X7,sk_c7))
| sk_c7 != inverse(X7) )
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_15 ),
inference(forward_demodulation,[],[f413,f235]) ).
fof(f413,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
| ~ spl15_9
| ~ spl15_10
| ~ spl15_13
| ~ spl15_15 ),
inference(forward_demodulation,[],[f131,f235]) ).
fof(f407,plain,
( ~ spl15_7
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f406,plain,
( $false
| ~ spl15_7
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(trivial_inequality_removal,[],[f405]) ).
fof(f405,plain,
( sk_c7 != sk_c7
| ~ spl15_7
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f403,f302]) ).
fof(f403,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl15_7
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(trivial_inequality_removal,[],[f400]) ).
fof(f400,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl15_7
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(superposition,[],[f382,f324]) ).
fof(f382,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c7) )
| ~ spl15_7
| ~ spl15_10
| ~ spl15_13
| ~ spl15_15 ),
inference(forward_demodulation,[],[f381,f235]) ).
fof(f381,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c8) )
| ~ spl15_7
| ~ spl15_10
| ~ spl15_13
| ~ spl15_15 ),
inference(forward_demodulation,[],[f123,f235]) ).
fof(f380,plain,
( spl15_6
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f379,plain,
( $false
| spl15_6
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(trivial_inequality_removal,[],[f378]) ).
fof(f378,plain,
( sk_c7 != sk_c7
| spl15_6
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f120,f322]) ).
fof(f120,plain,
( sk_c7 != sF3
| spl15_6 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f364,plain,
( ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(avatar_contradiction_clause,[],[f363]) ).
fof(f363,plain,
( $false
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(trivial_inequality_removal,[],[f362]) ).
fof(f362,plain,
( sk_c7 != sk_c7
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f360,f302]) ).
fof(f360,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(trivial_inequality_removal,[],[f357]) ).
fof(f357,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(superposition,[],[f256,f324]) ).
fof(f256,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c7) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f228,f235]) ).
fof(f228,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl15_4
| ~ spl15_8
| ~ spl15_12
| ~ spl15_14 ),
inference(backward_demodulation,[],[f127,f224]) ).
fof(f224,plain,
( sk_c8 = sk_c6
| ~ spl15_4
| ~ spl15_12
| ~ spl15_14 ),
inference(forward_demodulation,[],[f222,f211]) ).
fof(f222,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl15_12
| ~ spl15_14 ),
inference(superposition,[],[f219,f207]) ).
fof(f264,plain,
( ~ spl15_4
| spl15_5
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f263,plain,
( $false
| ~ spl15_4
| spl15_5
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(global_subsumption,[],[f116,f259]) ).
fof(f259,plain,
( sk_c7 = sF4
| ~ spl15_4
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(forward_demodulation,[],[f257,f254]) ).
fof(f254,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl15_4
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f226,f235]) ).
fof(f226,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl15_4
| ~ spl15_12
| ~ spl15_14 ),
inference(backward_demodulation,[],[f211,f224]) ).
fof(f257,plain,
( sF4 = multiply(sk_c7,sk_c7)
| ~ spl15_4
| ~ spl15_10
| ~ spl15_12
| ~ spl15_13
| ~ spl15_14
| ~ spl15_15 ),
inference(backward_demodulation,[],[f229,f235]) ).
fof(f229,plain,
( sF4 = multiply(sk_c8,sk_c8)
| ~ spl15_4
| ~ spl15_12
| ~ spl15_14 ),
inference(backward_demodulation,[],[f49,f224]) ).
fof(f116,plain,
( sk_c7 != sF4
| spl15_5 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f205,plain,
( spl15_4
| spl15_5 ),
inference(avatar_split_clause,[],[f96,f114,f110]) ).
fof(f96,plain,
( sk_c7 = sF4
| sk_c6 = sF5 ),
inference(definition_folding,[],[f22,f50,f49]) ).
fof(f22,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_19) ).
fof(f204,plain,
( spl15_5
| spl15_15 ),
inference(avatar_split_clause,[],[f95,f159,f114]) ).
fof(f95,plain,
( sk_c7 = sF11
| sk_c7 = sF4 ),
inference(definition_folding,[],[f25,f49,f61]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_22) ).
fof(f203,plain,
( spl15_4
| spl15_18 ),
inference(avatar_split_clause,[],[f94,f180,f110]) ).
fof(f94,plain,
( sk_c7 = sF14
| sk_c6 = sF5 ),
inference(definition_folding,[],[f10,f50,f73]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_7) ).
fof(f201,plain,
( spl15_15
| spl15_18 ),
inference(avatar_split_clause,[],[f92,f180,f159]) ).
fof(f92,plain,
( sk_c7 = sF14
| sk_c7 = sF11 ),
inference(definition_folding,[],[f13,f61,f73]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_10) ).
fof(f200,plain,
( spl15_18
| spl15_14 ),
inference(avatar_split_clause,[],[f91,f154,f180]) ).
fof(f91,plain,
( sk_c7 = sF10
| sk_c7 = sF14 ),
inference(definition_folding,[],[f11,f73,f59]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_8) ).
fof(f196,plain,
( spl15_5
| spl15_13 ),
inference(avatar_split_clause,[],[f87,f149,f114]) ).
fof(f87,plain,
( sk_c5 = sF9
| sk_c7 = sF4 ),
inference(definition_folding,[],[f26,f49,f57]) ).
fof(f26,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_23) ).
fof(f195,plain,
( spl15_18
| spl15_13 ),
inference(avatar_split_clause,[],[f86,f149,f180]) ).
fof(f86,plain,
( sk_c5 = sF9
| sk_c7 = sF14 ),
inference(definition_folding,[],[f14,f73,f57]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_11) ).
fof(f192,plain,
( spl15_15
| spl15_6 ),
inference(avatar_split_clause,[],[f83,f118,f159]) ).
fof(f83,plain,
( sk_c7 = sF3
| sk_c7 = sF11 ),
inference(definition_folding,[],[f7,f61,f48]) ).
fof(f7,axiom,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_4) ).
fof(f191,plain,
( spl15_14
| spl15_6 ),
inference(avatar_split_clause,[],[f82,f118,f154]) ).
fof(f82,plain,
( sk_c7 = sF3
| sk_c7 = sF10 ),
inference(definition_folding,[],[f5,f59,f48]) ).
fof(f5,axiom,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_2) ).
fof(f190,plain,
( spl15_13
| spl15_6 ),
inference(avatar_split_clause,[],[f81,f118,f149]) ).
fof(f81,plain,
( sk_c7 = sF3
| sk_c5 = sF9 ),
inference(definition_folding,[],[f8,f57,f48]) ).
fof(f8,axiom,
( inverse(sk_c8) = sk_c7
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_5) ).
fof(f189,plain,
( spl15_4
| spl15_16 ),
inference(avatar_split_clause,[],[f80,f165,f110]) ).
fof(f80,plain,
( sk_c8 = sF12
| sk_c6 = sF5 ),
inference(definition_folding,[],[f16,f50,f64]) ).
fof(f16,axiom,
( sk_c8 = inverse(sk_c1)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_13) ).
fof(f188,plain,
( spl15_5
| spl15_10 ),
inference(avatar_split_clause,[],[f79,f135,f114]) ).
fof(f79,plain,
( sk_c8 = sF7
| sk_c7 = sF4 ),
inference(definition_folding,[],[f27,f49,f53]) ).
fof(f27,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_24) ).
fof(f187,plain,
( spl15_5
| spl15_12 ),
inference(avatar_split_clause,[],[f78,f144,f114]) ).
fof(f78,plain,
( sk_c8 = sF8
| sk_c7 = sF4 ),
inference(definition_folding,[],[f24,f49,f55]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_21) ).
fof(f186,plain,
( spl15_15
| spl15_16 ),
inference(avatar_split_clause,[],[f77,f165,f159]) ).
fof(f77,plain,
( sk_c8 = sF12
| sk_c7 = sF11 ),
inference(definition_folding,[],[f19,f61,f64]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_16) ).
fof(f185,plain,
( spl15_14
| spl15_16 ),
inference(avatar_split_clause,[],[f76,f165,f154]) ).
fof(f76,plain,
( sk_c8 = sF12
| sk_c7 = sF10 ),
inference(definition_folding,[],[f17,f59,f64]) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_14) ).
fof(f184,plain,
( spl15_18
| spl15_10 ),
inference(avatar_split_clause,[],[f75,f135,f180]) ).
fof(f75,plain,
( sk_c8 = sF7
| sk_c7 = sF14 ),
inference(definition_folding,[],[f15,f73,f53]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_12) ).
fof(f183,plain,
( spl15_18
| spl15_12 ),
inference(avatar_split_clause,[],[f74,f144,f180]) ).
fof(f74,plain,
( sk_c8 = sF8
| sk_c7 = sF14 ),
inference(definition_folding,[],[f12,f73,f55]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_9) ).
fof(f172,plain,
( spl15_13
| spl15_16 ),
inference(avatar_split_clause,[],[f69,f165,f149]) ).
fof(f69,plain,
( sk_c8 = sF12
| sk_c5 = sF9 ),
inference(definition_folding,[],[f20,f57,f64]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_17) ).
fof(f171,plain,
( spl15_6
| spl15_10 ),
inference(avatar_split_clause,[],[f68,f135,f118]) ).
fof(f68,plain,
( sk_c8 = sF7
| sk_c7 = sF3 ),
inference(definition_folding,[],[f9,f48,f53]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c4)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_6) ).
fof(f170,plain,
( spl15_6
| spl15_12 ),
inference(avatar_split_clause,[],[f67,f144,f118]) ).
fof(f67,plain,
( sk_c8 = sF8
| sk_c7 = sF3 ),
inference(definition_folding,[],[f6,f48,f55]) ).
fof(f6,axiom,
( sk_c8 = inverse(sk_c3)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_3) ).
fof(f169,plain,
( spl15_16
| spl15_12 ),
inference(avatar_split_clause,[],[f66,f144,f165]) ).
fof(f66,plain,
( sk_c8 = sF8
| sk_c8 = sF12 ),
inference(definition_folding,[],[f18,f64,f55]) ).
fof(f18,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_15) ).
fof(f168,plain,
( spl15_16
| spl15_10 ),
inference(avatar_split_clause,[],[f65,f135,f165]) ).
fof(f65,plain,
( sk_c8 = sF7
| sk_c8 = sF12 ),
inference(definition_folding,[],[f21,f64,f53]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_18) ).
fof(f147,plain,
( spl15_12
| spl15_11 ),
inference(avatar_split_clause,[],[f56,f139,f144]) ).
fof(f139,plain,
( spl15_11
<=> sk_c7 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f56,plain,
( sk_c7 = sF6
| sk_c8 = sF8 ),
inference(definition_folding,[],[f36,f55,f52]) ).
fof(f52,plain,
inverse(sk_c2) = sF6,
introduced(function_definition,[]) ).
fof(f36,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_33) ).
fof(f133,plain,
( spl15_3
| spl15_7 ),
inference(avatar_split_clause,[],[f42,f122,f106]) ).
fof(f106,plain,
( spl15_3
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f42,plain,
! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| sP0 ),
inference(cnf_transformation,[],[f42_D]) ).
fof(f42_D,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f132,plain,
( spl15_2
| spl15_9 ),
inference(avatar_split_clause,[],[f44,f130,f102]) ).
fof(f102,plain,
( spl15_2
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f44,plain,
! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sP1 ),
inference(cnf_transformation,[],[f44_D]) ).
fof(f44_D,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f128,plain,
( spl15_1
| spl15_8 ),
inference(avatar_split_clause,[],[f46,f126,f98]) ).
fof(f98,plain,
( spl15_1
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f46,plain,
! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7)
| sP2 ),
inference(cnf_transformation,[],[f46_D]) ).
fof(f46_D,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f124,plain,
( ~ spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_5
| ~ spl15_6
| spl15_7 ),
inference(avatar_split_clause,[],[f51,f122,f118,f114,f110,f106,f102,f98]) ).
fof(f51,plain,
! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != sF3
| sk_c7 != sF4
| sk_c7 != multiply(X5,sk_c8)
| sk_c6 != sF5
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(definition_folding,[],[f47,f50,f49,f48]) ).
fof(f47,plain,
! [X5] :
( sk_c8 != inverse(X5)
| inverse(sk_c8) != sk_c7
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(X5,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f45,f46_D]) ).
fof(f45,plain,
! [X4,X5] :
( sk_c7 != inverse(X4)
| sk_c8 != inverse(X5)
| inverse(sk_c8) != sk_c7
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(X5,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f43,f44_D]) ).
fof(f43,plain,
! [X7,X4,X5] :
( sk_c7 != inverse(X4)
| sk_c8 != inverse(X7)
| sk_c8 != inverse(X5)
| inverse(sk_c8) != sk_c7
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(X5,sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| multiply(sk_c8,sk_c7) != sk_c6
| ~ sP0 ),
inference(general_splitting,[],[f41,f42_D]) ).
fof(f41,plain,
! [X3,X7,X4,X5] :
( sk_c7 != inverse(X4)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X7)
| sk_c8 != inverse(X5)
| inverse(sk_c8) != sk_c7
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(X5,sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| multiply(sk_c8,sk_c7) != sk_c6 ),
inference(equality_resolution,[],[f40]) ).
fof(f40,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c7 != inverse(X4)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X7)
| sk_c8 != inverse(X5)
| inverse(sk_c8) != sk_c7
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(X5,sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(sk_c8,X6)
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(X7,sk_c8) != X6 ),
file('/export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363',prove_this_37) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP372-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 00:46:30 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363
% 0.15/0.37 % (29520)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (29535)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.21/0.43 % (29532)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.21/0.43 % (29530)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.21/0.43 % (29521)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.21/0.43 % (29528)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.21/0.43 % (29526)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.21/0.43 % (29524)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.21/0.47 % (29528)First to succeed.
% 0.21/0.48 % (29528)Refutation found. Thanks to Tanya!
% 0.21/0.48 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.48 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.48 % (29528)------------------------------
% 0.21/0.48 % (29528)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.48 % (29528)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.48 % (29528)Termination reason: Refutation
% 0.21/0.48
% 0.21/0.48 % (29528)Memory used [KB]: 11001
% 0.21/0.48 % (29528)Time elapsed: 0.052 s
% 0.21/0.48 % (29528)------------------------------
% 0.21/0.48 % (29528)------------------------------
% 0.21/0.48 % (29520)Success in time 0.115 s
% 0.21/0.49 29521 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363
% 0.21/0.49 % (29521)------------------------------
% 0.21/0.49 % (29521)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.49 29524 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.JG337avj72/Vampire---4.8_29363
% 0.21/0.49 % (29524)------------------------------
% 0.21/0.49 % (29524)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.49 % (29521)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.49 % (29524)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.49 % (29521)Termination reason: Unknown
% 0.21/0.49 % (29524)Termination reason: Unknown
% 0.21/0.49 % (29524)Termination phase: Saturation
% 0.21/0.49 % (29521)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49
% 0.21/0.49 % (29521)Memory used [KB]: 5500
% 0.21/0.49 % (29524)Memory used [KB]: 1023
% 0.21/0.49 % (29521)Time elapsed: 0.059 s
% 0.21/0.49 % (29524)Time elapsed: 0.058 s
% 0.21/0.49 % (29521)------------------------------
% 0.21/0.49 % (29521)------------------------------
% 0.21/0.49 % (29524)------------------------------
% 0.21/0.49 % (29524)------------------------------
% 0.21/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------