TSTP Solution File: GRP370-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP370-1 : 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 : n020.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 01:23:32 EDT 2023
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 48
% Syntax : Number of formulae : 403 ( 33 unt; 0 def)
% Number of atoms : 1513 ( 458 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 2064 ( 954 ~;1098 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 13 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-2 aty)
% Number of variables : 95 (; 95 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3437,plain,
$false,
inference(avatar_sat_refutation,[],[f140,f162,f179,f228,f382,f386,f539,f567,f573,f576,f582,f970,f978,f1022,f1059,f1092,f1646,f1664,f1675,f1686,f2403,f2429,f2476,f2565,f2569,f2591,f2605,f2652,f2775,f2865,f3102,f3150,f3163,f3193,f3235,f3239,f3306,f3379,f3414,f3431,f3435]) ).
fof(f3435,plain,
( spl11_1
| spl11_9 ),
inference(avatar_contradiction_clause,[],[f3434]) ).
fof(f3434,plain,
( $false
| spl11_1
| spl11_9 ),
inference(subsumption_resolution,[],[f89,f173]) ).
fof(f173,plain,
( sk_c9 != sF10
| spl11_9 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f172,plain,
( spl11_9
<=> sk_c9 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f89,plain,
( sk_c9 = sF10
| spl11_1 ),
inference(subsumption_resolution,[],[f55,f77]) ).
fof(f77,plain,
( sk_c7 != sF1
| spl11_1 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl11_1
<=> sk_c7 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f55,plain,
( sk_c7 = sF1
| sk_c9 = sF10 ),
inference(definition_folding,[],[f7,f54,f36]) ).
fof(f36,plain,
inverse(sk_c4) = sF1,
introduced(function_definition,[]) ).
fof(f54,plain,
multiply(sk_c7,sk_c8) = sF10,
introduced(function_definition,[]) ).
fof(f7,axiom,
( sk_c7 = inverse(sk_c4)
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',prove_this_4) ).
fof(f3431,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| spl11_9
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f3430]) ).
fof(f3430,plain,
( $false
| ~ spl11_1
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| spl11_9
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f3428,f173]) ).
fof(f3428,plain,
( sk_c9 = sF10
| ~ spl11_1
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| spl11_9
| ~ spl11_12 ),
inference(backward_demodulation,[],[f548,f571]) ).
fof(f571,plain,
( sk_c7 = sk_c9
| ~ spl11_8
| spl11_9
| ~ spl11_12 ),
inference(backward_demodulation,[],[f568,f569]) ).
fof(f569,plain,
( sk_c9 = sF5
| ~ spl11_8
| ~ spl11_12 ),
inference(forward_demodulation,[],[f44,f544]) ).
fof(f544,plain,
( sk_c9 = multiply(sk_c9,sk_c6)
| ~ spl11_8
| ~ spl11_12 ),
inference(forward_demodulation,[],[f542,f393]) ).
fof(f393,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f40,f161]) ).
fof(f161,plain,
( sk_c9 = sF3
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl11_8
<=> sk_c9 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f40,plain,
inverse(sk_c5) = sF3,
introduced(function_definition,[]) ).
fof(f542,plain,
( sk_c9 = multiply(inverse(sk_c5),sk_c6)
| ~ spl11_12 ),
inference(superposition,[],[f108,f541]) ).
fof(f541,plain,
( sk_c6 = multiply(sk_c5,sk_c9)
| ~ spl11_12 ),
inference(backward_demodulation,[],[f42,f538]) ).
fof(f538,plain,
( sk_c6 = sF4
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f536,plain,
( spl11_12
<=> sk_c6 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f42,plain,
multiply(sk_c5,sk_c9) = sF4,
introduced(function_definition,[]) ).
fof(f108,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f97,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',left_identity) ).
fof(f97,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',associativity) ).
fof(f44,plain,
multiply(sk_c9,sk_c6) = sF5,
introduced(function_definition,[]) ).
fof(f568,plain,
( sk_c7 = sF5
| spl11_9 ),
inference(subsumption_resolution,[],[f67,f173]) ).
fof(f67,plain,
( sk_c7 = sF5
| sk_c9 = sF10 ),
inference(definition_folding,[],[f8,f54,f44]) ).
fof(f8,axiom,
( sk_c7 = multiply(sk_c9,sk_c6)
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',prove_this_5) ).
fof(f548,plain,
( sk_c7 = sF10
| ~ spl11_1
| ~ spl11_2
| ~ spl11_7 ),
inference(backward_demodulation,[],[f54,f491]) ).
fof(f491,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_7 ),
inference(backward_demodulation,[],[f405,f474]) ).
fof(f474,plain,
( sk_c8 = sF6
| ~ spl11_1
| ~ spl11_2
| ~ spl11_7 ),
inference(superposition,[],[f436,f256]) ).
fof(f256,plain,
( ! [X0] : multiply(inverse(X0),X0) = sF6
| ~ spl11_1 ),
inference(backward_demodulation,[],[f2,f250]) ).
fof(f250,plain,
( identity = sF6
| ~ spl11_1 ),
inference(superposition,[],[f201,f2]) ).
fof(f201,plain,
( sF6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl11_1 ),
inference(superposition,[],[f108,f152]) ).
fof(f152,plain,
( sk_c7 = multiply(sk_c7,sF6)
| ~ spl11_1 ),
inference(forward_demodulation,[],[f125,f78]) ).
fof(f78,plain,
( sk_c7 = sF1
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f125,plain,
sk_c7 = multiply(sF1,sF6),
inference(superposition,[],[f113,f46]) ).
fof(f46,plain,
multiply(sk_c4,sk_c7) = sF6,
introduced(function_definition,[]) ).
fof(f113,plain,
! [X0] : multiply(sF1,multiply(sk_c4,X0)) = X0,
inference(forward_demodulation,[],[f112,f1]) ).
fof(f112,plain,
! [X0] : multiply(identity,X0) = multiply(sF1,multiply(sk_c4,X0)),
inference(superposition,[],[f3,f92]) ).
fof(f92,plain,
identity = multiply(sF1,sk_c4),
inference(superposition,[],[f2,f36]) ).
fof(f436,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c2)
| ~ spl11_2
| ~ spl11_7 ),
inference(superposition,[],[f108,f434]) ).
fof(f434,plain,
( sk_c2 = multiply(sk_c2,sk_c8)
| ~ spl11_2
| ~ spl11_7 ),
inference(forward_demodulation,[],[f206,f398]) ).
fof(f398,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl11_2 ),
inference(forward_demodulation,[],[f35,f82]) ).
fof(f82,plain,
( sk_c2 = sF0
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl11_2
<=> sk_c2 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f35,plain,
inverse(sk_c1) = sF0,
introduced(function_definition,[]) ).
fof(f206,plain,
( sk_c2 = multiply(inverse(sk_c1),sk_c8)
| ~ spl11_7 ),
inference(superposition,[],[f108,f164]) ).
fof(f164,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| ~ spl11_7 ),
inference(backward_demodulation,[],[f50,f157]) ).
fof(f157,plain,
( sk_c8 = sF8
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl11_7
<=> sk_c8 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f50,plain,
multiply(sk_c1,sk_c2) = sF8,
introduced(function_definition,[]) ).
fof(f405,plain,
( sk_c7 = multiply(sk_c7,sF6)
| ~ spl11_1 ),
inference(forward_demodulation,[],[f403,f143]) ).
fof(f143,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl11_1 ),
inference(backward_demodulation,[],[f36,f78]) ).
fof(f403,plain,
sk_c7 = multiply(inverse(sk_c4),sF6),
inference(superposition,[],[f108,f46]) ).
fof(f3414,plain,
( spl11_2
| ~ spl11_8
| spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f3413]) ).
fof(f3413,plain,
( $false
| spl11_2
| ~ spl11_8
| spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f3412,f173]) ).
fof(f3412,plain,
( sk_c9 = sF10
| spl11_2
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f3395,f3253]) ).
fof(f3253,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| spl11_2
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f2482,f3200]) ).
fof(f3200,plain,
( sk_c8 = sk_c6
| spl11_2
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(backward_demodulation,[],[f1024,f3195]) ).
fof(f3195,plain,
( sk_c8 = sF7
| spl11_2 ),
inference(subsumption_resolution,[],[f49,f81]) ).
fof(f81,plain,
( sk_c2 != sF0
| spl11_2 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f49,plain,
( sk_c2 = sF0
| sk_c8 = sF7 ),
inference(definition_folding,[],[f18,f48,f35]) ).
fof(f48,plain,
multiply(sk_c3,sk_c9) = sF7,
introduced(function_definition,[]) ).
fof(f18,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',prove_this_15) ).
fof(f1024,plain,
( sk_c6 = sF7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(backward_demodulation,[],[f648,f538]) ).
fof(f648,plain,
( sF4 = sF7
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f48,f646]) ).
fof(f646,plain,
( multiply(sk_c3,sk_c9) = sF4
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f42,f641]) ).
fof(f641,plain,
( sk_c3 = sk_c5
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f583,f584]) ).
fof(f584,plain,
( sk_c3 = multiply(inverse(sk_c9),identity)
| ~ spl11_10 ),
inference(forward_demodulation,[],[f211,f178]) ).
fof(f178,plain,
( sk_c9 = sF2
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f176,plain,
( spl11_10
<=> sk_c9 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f211,plain,
sk_c3 = multiply(inverse(sF2),identity),
inference(superposition,[],[f108,f91]) ).
fof(f91,plain,
identity = multiply(sF2,sk_c3),
inference(superposition,[],[f2,f38]) ).
fof(f38,plain,
inverse(sk_c3) = sF2,
introduced(function_definition,[]) ).
fof(f583,plain,
( sk_c5 = multiply(inverse(sk_c9),identity)
| ~ spl11_8 ),
inference(forward_demodulation,[],[f214,f161]) ).
fof(f214,plain,
sk_c5 = multiply(inverse(sF3),identity),
inference(superposition,[],[f108,f93]) ).
fof(f93,plain,
identity = multiply(sF3,sk_c5),
inference(superposition,[],[f2,f40]) ).
fof(f2482,plain,
( sk_c9 = multiply(sk_c9,sk_c6)
| ~ spl11_8
| ~ spl11_12 ),
inference(backward_demodulation,[],[f44,f569]) ).
fof(f3395,plain,
( sF10 = multiply(sk_c9,sk_c8)
| spl11_2
| ~ spl11_8
| ~ spl11_12 ),
inference(forward_demodulation,[],[f54,f1057]) ).
fof(f1057,plain,
( sk_c7 = sk_c9
| spl11_2
| ~ spl11_8
| ~ spl11_12 ),
inference(forward_demodulation,[],[f1056,f569]) ).
fof(f1056,plain,
( sk_c7 = sF5
| spl11_2 ),
inference(subsumption_resolution,[],[f45,f81]) ).
fof(f45,plain,
( sk_c2 = sF0
| sk_c7 = sF5 ),
inference(definition_folding,[],[f22,f44,f35]) ).
fof(f22,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c7 = multiply(sk_c9,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',prove_this_19) ).
fof(f3379,plain,
( spl11_2
| ~ spl11_3
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f3378]) ).
fof(f3378,plain,
( $false
| spl11_2
| ~ spl11_3
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f3376]) ).
fof(f3376,plain,
( sk_c8 != sk_c8
| spl11_2
| ~ spl11_3
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(superposition,[],[f3324,f3287]) ).
fof(f3287,plain,
( ! [X1] : sk_c8 = multiply(X1,inverse(X1))
| spl11_2
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(superposition,[],[f3283,f197]) ).
fof(f197,plain,
! [X6,X5] : multiply(X5,X6) = multiply(inverse(inverse(X5)),X6),
inference(superposition,[],[f108,f108]) ).
fof(f3283,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| spl11_2
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f2,f3202]) ).
fof(f3202,plain,
( identity = sk_c8
| spl11_2
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f1025,f3200]) ).
fof(f1025,plain,
( identity = sk_c6
| ~ spl11_8
| ~ spl11_12 ),
inference(backward_demodulation,[],[f707,f538]) ).
fof(f707,plain,
( identity = sF4
| ~ spl11_8 ),
inference(superposition,[],[f616,f2]) ).
fof(f616,plain,
( sF4 = multiply(inverse(sk_c9),sk_c9)
| ~ spl11_8 ),
inference(superposition,[],[f108,f598]) ).
fof(f598,plain,
( sk_c9 = multiply(sk_c9,sF4)
| ~ spl11_8 ),
inference(forward_demodulation,[],[f596,f393]) ).
fof(f596,plain,
sk_c9 = multiply(inverse(sk_c5),sF4),
inference(superposition,[],[f108,f42]) ).
fof(f3324,plain,
( sk_c8 != multiply(sk_c9,inverse(sk_c9))
| spl11_2
| ~ spl11_3
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f3321]) ).
fof(f3321,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c9,inverse(sk_c9))
| spl11_2
| ~ spl11_3
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(superposition,[],[f3307,f3283]) ).
fof(f3307,plain,
( ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c9)
| sk_c8 != multiply(X3,inverse(X3)) )
| spl11_2
| ~ spl11_3
| ~ spl11_8
| ~ spl11_12 ),
inference(forward_demodulation,[],[f130,f1057]) ).
fof(f130,plain,
( ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3)) )
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl11_3
<=> ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f3306,plain,
( spl11_4
| spl11_2
| ~ spl11_6
| ~ spl11_8
| ~ spl11_12 ),
inference(avatar_split_clause,[],[f3299,f536,f159,f138,f80,f132]) ).
fof(f132,plain,
( spl11_4
<=> ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(X5,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f138,plain,
( spl11_6
<=> ! [X6] :
( sk_c7 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f3299,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6) )
| spl11_2
| ~ spl11_6
| ~ spl11_8
| ~ spl11_12 ),
inference(forward_demodulation,[],[f3298,f1057]) ).
fof(f3298,plain,
( ! [X6] :
( sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) )
| spl11_2
| ~ spl11_6
| ~ spl11_8
| ~ spl11_12 ),
inference(forward_demodulation,[],[f139,f1057]) ).
fof(f139,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f3239,plain,
( spl11_2
| spl11_10 ),
inference(avatar_contradiction_clause,[],[f3238]) ).
fof(f3238,plain,
( $false
| spl11_2
| spl11_10 ),
inference(subsumption_resolution,[],[f384,f81]) ).
fof(f384,plain,
( sk_c2 = sF0
| spl11_10 ),
inference(subsumption_resolution,[],[f39,f177]) ).
fof(f177,plain,
( sk_c9 != sF2
| spl11_10 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f39,plain,
( sk_c2 = sF0
| sk_c9 = sF2 ),
inference(definition_folding,[],[f19,f38,f35]) ).
fof(f19,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',prove_this_16) ).
fof(f3235,plain,
( spl11_2
| ~ spl11_4
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f3234]) ).
fof(f3234,plain,
( $false
| spl11_2
| ~ spl11_4
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f2650,f3212]) ).
fof(f3212,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| spl11_2
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f2796,f3200]) ).
fof(f2796,plain,
( multiply(sk_c3,sk_c9) = sk_c6
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f1093,f641]) ).
fof(f1093,plain,
( sk_c6 = multiply(sk_c5,sk_c9)
| ~ spl11_12 ),
inference(forward_demodulation,[],[f42,f538]) ).
fof(f2650,plain,
( sk_c8 != multiply(sk_c3,sk_c9)
| ~ spl11_4
| ~ spl11_8
| ~ spl11_10 ),
inference(forward_demodulation,[],[f2566,f641]) ).
fof(f2566,plain,
( sk_c8 != multiply(sk_c5,sk_c9)
| ~ spl11_4
| ~ spl11_8 ),
inference(subsumption_resolution,[],[f1850,f161]) ).
fof(f1850,plain,
( sk_c9 != sF3
| sk_c8 != multiply(sk_c5,sk_c9)
| ~ spl11_4 ),
inference(superposition,[],[f133,f40]) ).
fof(f133,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(X5,sk_c9) )
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f3193,plain,
( ~ spl11_4
| spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f3192]) ).
fof(f3192,plain,
( $false
| ~ spl11_4
| spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f3191,f2941]) ).
fof(f2941,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f2796,f2928]) ).
fof(f2928,plain,
( sk_c8 = sk_c6
| spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(backward_demodulation,[],[f1024,f2923]) ).
fof(f2923,plain,
( sk_c8 = sF7
| spl11_7 ),
inference(subsumption_resolution,[],[f71,f156]) ).
fof(f156,plain,
( sk_c8 != sF8
| spl11_7 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f71,plain,
( sk_c8 = sF7
| sk_c8 = sF8 ),
inference(definition_folding,[],[f11,f50,f48]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',prove_this_8) ).
fof(f3191,plain,
( sk_c8 != multiply(sk_c3,sk_c9)
| ~ spl11_4
| ~ spl11_8
| ~ spl11_10 ),
inference(forward_demodulation,[],[f3190,f641]) ).
fof(f3190,plain,
( sk_c8 != multiply(sk_c5,sk_c9)
| ~ spl11_4
| ~ spl11_8 ),
inference(subsumption_resolution,[],[f1850,f161]) ).
fof(f3163,plain,
( spl11_4
| ~ spl11_6
| spl11_7
| ~ spl11_8
| ~ spl11_12 ),
inference(avatar_split_clause,[],[f3156,f536,f159,f155,f138,f132]) ).
fof(f3156,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6) )
| ~ spl11_6
| spl11_7
| ~ spl11_8
| ~ spl11_12 ),
inference(forward_demodulation,[],[f3155,f1090]) ).
fof(f1090,plain,
( sk_c7 = sk_c9
| spl11_7
| ~ spl11_8
| ~ spl11_12 ),
inference(forward_demodulation,[],[f1089,f569]) ).
fof(f1089,plain,
( sk_c7 = sF5
| spl11_7 ),
inference(subsumption_resolution,[],[f65,f156]) ).
fof(f65,plain,
( sk_c7 = sF5
| sk_c8 = sF8 ),
inference(definition_folding,[],[f15,f50,f44]) ).
fof(f15,axiom,
( sk_c7 = multiply(sk_c9,sk_c6)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',prove_this_12) ).
fof(f3155,plain,
( ! [X6] :
( sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl11_6
| spl11_7
| ~ spl11_8
| ~ spl11_12 ),
inference(forward_demodulation,[],[f139,f1090]) ).
fof(f3150,plain,
( ~ spl11_3
| spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f3149]) ).
fof(f3149,plain,
( $false
| ~ spl11_3
| spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f3146]) ).
fof(f3146,plain,
( sk_c8 != sk_c8
| ~ spl11_3
| spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(superposition,[],[f3007,f2988]) ).
fof(f2988,plain,
( ! [X1] : sk_c8 = multiply(X1,inverse(X1))
| spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(superposition,[],[f2984,f197]) ).
fof(f2984,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f2,f2932]) ).
fof(f2932,plain,
( identity = sk_c8
| spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f1025,f2928]) ).
fof(f3007,plain,
( sk_c8 != multiply(sk_c9,inverse(sk_c9))
| ~ spl11_3
| spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f3005]) ).
fof(f3005,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c9,inverse(sk_c9))
| ~ spl11_3
| spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(superposition,[],[f2997,f2984]) ).
fof(f2997,plain,
( ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c9)
| sk_c8 != multiply(X3,inverse(X3)) )
| ~ spl11_3
| spl11_7
| ~ spl11_8
| ~ spl11_12 ),
inference(forward_demodulation,[],[f130,f1090]) ).
fof(f3102,plain,
( ~ spl11_2
| spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f3101]) ).
fof(f3101,plain,
( $false
| ~ spl11_2
| spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f3100,f156]) ).
fof(f3100,plain,
( sk_c8 = sF8
| ~ spl11_2
| spl11_7
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f1084,f2984]) ).
fof(f1084,plain,
( sF8 = multiply(inverse(sk_c2),sk_c2)
| ~ spl11_2 ),
inference(superposition,[],[f108,f1067]) ).
fof(f1067,plain,
( sk_c2 = multiply(sk_c2,sF8)
| ~ spl11_2 ),
inference(forward_demodulation,[],[f1065,f1062]) ).
fof(f1062,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f35,f82]) ).
fof(f1065,plain,
sk_c2 = multiply(inverse(sk_c1),sF8),
inference(superposition,[],[f108,f50]) ).
fof(f2865,plain,
( spl11_4
| ~ spl11_6
| ~ spl11_8
| spl11_11
| ~ spl11_12 ),
inference(avatar_split_clause,[],[f2802,f536,f532,f159,f138,f132]) ).
fof(f532,plain,
( spl11_11
<=> sk_c8 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f2802,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6) )
| ~ spl11_6
| ~ spl11_8
| spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f2801,f563]) ).
fof(f563,plain,
( sk_c7 = sk_c9
| ~ spl11_8
| spl11_11
| ~ spl11_12 ),
inference(backward_demodulation,[],[f559,f544]) ).
fof(f559,plain,
( sk_c7 = multiply(sk_c9,sk_c6)
| spl11_11 ),
inference(backward_demodulation,[],[f44,f556]) ).
fof(f556,plain,
( sk_c7 = sF5
| spl11_11 ),
inference(subsumption_resolution,[],[f66,f533]) ).
fof(f533,plain,
( sk_c8 != sF9
| spl11_11 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f66,plain,
( sk_c7 = sF5
| sk_c8 = sF9 ),
inference(definition_folding,[],[f29,f52,f44]) ).
fof(f52,plain,
multiply(sk_c2,sk_c7) = sF9,
introduced(function_definition,[]) ).
fof(f29,axiom,
( sk_c7 = multiply(sk_c9,sk_c6)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',prove_this_26) ).
fof(f2801,plain,
( ! [X6] :
( sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl11_6
| ~ spl11_8
| spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f139,f563]) ).
fof(f2775,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9 ),
inference(avatar_contradiction_clause,[],[f2774]) ).
fof(f2774,plain,
( $false
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9 ),
inference(trivial_inequality_removal,[],[f2771]) ).
fof(f2771,plain,
( sk_c8 != sk_c8
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9 ),
inference(superposition,[],[f2684,f2540]) ).
fof(f2540,plain,
( ! [X1] : sk_c8 = multiply(X1,inverse(X1))
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9 ),
inference(superposition,[],[f2527,f197]) ).
fof(f2527,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9 ),
inference(forward_demodulation,[],[f2,f920]) ).
fof(f920,plain,
( identity = sk_c8
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9 ),
inference(backward_demodulation,[],[f707,f913]) ).
fof(f913,plain,
( sk_c8 = sF4
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9 ),
inference(backward_demodulation,[],[f42,f901]) ).
fof(f901,plain,
( sk_c8 = multiply(sk_c5,sk_c9)
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9 ),
inference(superposition,[],[f867,f699]) ).
fof(f699,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl11_2
| ~ spl11_7
| ~ spl11_9 ),
inference(forward_demodulation,[],[f695,f604]) ).
fof(f604,plain,
( multiply(sk_c7,sk_c8) = sk_c9
| ~ spl11_9 ),
inference(forward_demodulation,[],[f54,f174]) ).
fof(f174,plain,
( sk_c9 = sF10
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f695,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c9,sk_c8)
| ~ spl11_2
| ~ spl11_7
| ~ spl11_9 ),
inference(superposition,[],[f606,f675]) ).
fof(f675,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl11_2
| ~ spl11_7 ),
inference(forward_demodulation,[],[f672,f164]) ).
fof(f672,plain,
( multiply(sk_c1,sk_c2) = multiply(sk_c8,sk_c8)
| ~ spl11_2
| ~ spl11_7 ),
inference(superposition,[],[f166,f633]) ).
fof(f633,plain,
( sk_c2 = multiply(sk_c2,sk_c8)
| ~ spl11_2
| ~ spl11_7 ),
inference(forward_demodulation,[],[f206,f587]) ).
fof(f587,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl11_2 ),
inference(forward_demodulation,[],[f35,f82]) ).
fof(f166,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c2,X0))
| ~ spl11_7 ),
inference(superposition,[],[f3,f164]) ).
fof(f606,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl11_9 ),
inference(superposition,[],[f3,f604]) ).
fof(f867,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c9,X0)) = X0
| ~ spl11_8 ),
inference(forward_demodulation,[],[f865,f712]) ).
fof(f712,plain,
( ! [X0] : multiply(sF4,X0) = X0
| ~ spl11_8 ),
inference(backward_demodulation,[],[f1,f707]) ).
fof(f865,plain,
! [X0] : multiply(sF4,X0) = multiply(sk_c5,multiply(sk_c9,X0)),
inference(superposition,[],[f3,f42]) ).
fof(f2684,plain,
( sk_c8 != multiply(sk_c9,inverse(sk_c9))
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9 ),
inference(trivial_inequality_removal,[],[f2682]) ).
fof(f2682,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c9,inverse(sk_c9))
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9 ),
inference(superposition,[],[f1802,f2527]) ).
fof(f1802,plain,
( ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c9)
| sk_c8 != multiply(X3,inverse(X3)) )
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_9 ),
inference(forward_demodulation,[],[f130,f1688]) ).
fof(f1688,plain,
( sk_c7 = sk_c9
| ~ spl11_1
| ~ spl11_2
| ~ spl11_7
| ~ spl11_9 ),
inference(backward_demodulation,[],[f548,f174]) ).
fof(f2652,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10 ),
inference(avatar_contradiction_clause,[],[f2651]) ).
fof(f2651,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10 ),
inference(subsumption_resolution,[],[f2650,f2612]) ).
fof(f2612,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10 ),
inference(backward_demodulation,[],[f48,f773]) ).
fof(f773,plain,
( sk_c8 = sF7
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10 ),
inference(backward_demodulation,[],[f648,f765]) ).
fof(f765,plain,
( sk_c8 = sF4
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10 ),
inference(backward_demodulation,[],[f646,f753]) ).
fof(f753,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10 ),
inference(superposition,[],[f749,f699]) ).
fof(f749,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c9,X0)) = X0
| ~ spl11_8
| ~ spl11_10 ),
inference(forward_demodulation,[],[f650,f712]) ).
fof(f650,plain,
( ! [X0] : multiply(sF4,X0) = multiply(sk_c3,multiply(sk_c9,X0))
| ~ spl11_8
| ~ spl11_10 ),
inference(superposition,[],[f3,f646]) ).
fof(f2605,plain,
( spl11_11
| spl11_10 ),
inference(avatar_split_clause,[],[f388,f176,f532]) ).
fof(f388,plain,
( sk_c8 = sF9
| spl11_10 ),
inference(subsumption_resolution,[],[f59,f177]) ).
fof(f59,plain,
( sk_c9 = sF2
| sk_c8 = sF9 ),
inference(definition_folding,[],[f26,f52,f38]) ).
fof(f26,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',prove_this_23) ).
fof(f2591,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f2590]) ).
fof(f2590,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f2589,f2500]) ).
fof(f2500,plain,
( sk_c8 = multiply(sk_c9,sk_c2)
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1667,f2491]) ).
fof(f2491,plain,
( sk_c9 = sk_c1
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f935,f968]) ).
fof(f968,plain,
( sk_c7 = sk_c9
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f963,f604]) ).
fof(f963,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f953,f570]) ).
fof(f570,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl11_11 ),
inference(backward_demodulation,[],[f52,f534]) ).
fof(f534,plain,
( sk_c8 = sF9
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f953,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f951,f921]) ).
fof(f921,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9 ),
inference(backward_demodulation,[],[f712,f913]) ).
fof(f951,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f3,f945]) ).
fof(f945,plain,
( sk_c8 = multiply(sk_c7,sk_c2)
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f164,f935]) ).
fof(f935,plain,
( sk_c7 = sk_c1
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f933,f592]) ).
fof(f592,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c8)
| ~ spl11_11 ),
inference(superposition,[],[f108,f570]) ).
fof(f933,plain,
( sk_c1 = multiply(inverse(sk_c2),sk_c8)
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9 ),
inference(superposition,[],[f108,f924]) ).
fof(f924,plain,
( sk_c8 = multiply(sk_c2,sk_c1)
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9 ),
inference(backward_demodulation,[],[f719,f913]) ).
fof(f719,plain,
( sF4 = multiply(sk_c2,sk_c1)
| ~ spl11_2
| ~ spl11_8 ),
inference(backward_demodulation,[],[f626,f707]) ).
fof(f626,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl11_2 ),
inference(superposition,[],[f2,f587]) ).
fof(f1667,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| ~ spl11_7 ),
inference(forward_demodulation,[],[f50,f157]) ).
fof(f2589,plain,
( sk_c8 != multiply(sk_c9,sk_c2)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f2582,f2493]) ).
fof(f2493,plain,
( sk_c2 = inverse(sk_c9)
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1062,f2491]) ).
fof(f2582,plain,
( sk_c8 != multiply(sk_c9,inverse(sk_c9))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(trivial_inequality_removal,[],[f2580]) ).
fof(f2580,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c9,inverse(sk_c9))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f2570,f2527]) ).
fof(f2570,plain,
( ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c9)
| sk_c8 != multiply(X3,inverse(X3)) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f130,f968]) ).
fof(f2569,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f2568]) ).
fof(f2568,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f2567,f2501]) ).
fof(f2501,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1717,f968]) ).
fof(f1717,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl11_11 ),
inference(forward_demodulation,[],[f52,f534]) ).
fof(f2567,plain,
( sk_c8 != multiply(sk_c2,sk_c9)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f2566,f2549]) ).
fof(f2549,plain,
( sk_c5 = sk_c2
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f2548,f1668]) ).
fof(f1668,plain,
( sk_c2 = multiply(sk_c2,sk_c8)
| ~ spl11_2
| ~ spl11_7 ),
inference(forward_demodulation,[],[f1067,f157]) ).
fof(f2548,plain,
( sk_c5 = multiply(sk_c2,sk_c8)
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f2546,f2493]) ).
fof(f2546,plain,
( sk_c5 = multiply(inverse(sk_c9),sk_c8)
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9 ),
inference(superposition,[],[f108,f2539]) ).
fof(f2539,plain,
( sk_c8 = multiply(sk_c9,sk_c5)
| ~ spl11_2
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9 ),
inference(superposition,[],[f2527,f2478]) ).
fof(f2478,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f40,f161]) ).
fof(f2565,plain,
( spl11_4
| ~ spl11_2
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(avatar_split_clause,[],[f2561,f532,f172,f159,f155,f138,f80,f132]) ).
fof(f2561,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6) )
| ~ spl11_2
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f2560,f968]) ).
fof(f2560,plain,
( ! [X6] :
( sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl11_2
| ~ spl11_6
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f139,f968]) ).
fof(f2476,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f2475]) ).
fof(f2475,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f2474,f1697]) ).
fof(f1697,plain,
( sk_c8 = multiply(sk_c9,sk_c2)
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1667,f1188]) ).
fof(f1188,plain,
( sk_c9 = sk_c1
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1186,f1111]) ).
fof(f1111,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c8)
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f592,f349]) ).
fof(f349,plain,
( sk_c7 = sk_c9
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(backward_demodulation,[],[f208,f325]) ).
fof(f325,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c8)
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(superposition,[],[f108,f320]) ).
fof(f320,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(forward_demodulation,[],[f314,f298]) ).
fof(f298,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl11_2
| ~ spl11_7 ),
inference(forward_demodulation,[],[f293,f164]) ).
fof(f293,plain,
( multiply(sk_c1,sk_c2) = multiply(sk_c8,sk_c8)
| ~ spl11_2
| ~ spl11_7 ),
inference(superposition,[],[f166,f163]) ).
fof(f163,plain,
( sk_c2 = multiply(sk_c2,sk_c8)
| ~ spl11_2
| ~ spl11_7 ),
inference(backward_demodulation,[],[f145,f157]) ).
fof(f145,plain,
( sk_c2 = multiply(sk_c2,sF8)
| ~ spl11_2 ),
inference(superposition,[],[f109,f50]) ).
fof(f109,plain,
( ! [X15] : multiply(sk_c2,multiply(sk_c1,X15)) = X15
| ~ spl11_2 ),
inference(forward_demodulation,[],[f105,f1]) ).
fof(f105,plain,
( ! [X15] : multiply(sk_c2,multiply(sk_c1,X15)) = multiply(identity,X15)
| ~ spl11_2 ),
inference(superposition,[],[f3,f94]) ).
fof(f94,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl11_2 ),
inference(superposition,[],[f2,f84]) ).
fof(f84,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f35,f82]) ).
fof(f314,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c2,sk_c9)
| spl11_8
| ~ spl11_9 ),
inference(superposition,[],[f170,f180]) ).
fof(f180,plain,
( multiply(sk_c7,sk_c8) = sk_c9
| ~ spl11_9 ),
inference(backward_demodulation,[],[f54,f174]) ).
fof(f170,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c7,X0))
| spl11_8 ),
inference(superposition,[],[f3,f169]) ).
fof(f169,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| spl11_8 ),
inference(backward_demodulation,[],[f52,f168]) ).
fof(f168,plain,
( sk_c8 = sF9
| spl11_8 ),
inference(subsumption_resolution,[],[f58,f160]) ).
fof(f160,plain,
( sk_c9 != sF3
| spl11_8 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f58,plain,
( sk_c9 = sF3
| sk_c8 = sF9 ),
inference(definition_folding,[],[f31,f52,f40]) ).
fof(f31,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',prove_this_28) ).
fof(f208,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c8)
| spl11_8 ),
inference(superposition,[],[f108,f169]) ).
fof(f1186,plain,
( sk_c1 = multiply(inverse(sk_c2),sk_c8)
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(superposition,[],[f108,f1178]) ).
fof(f1178,plain,
( sk_c8 = multiply(sk_c2,sk_c1)
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(backward_demodulation,[],[f1157,f1173]) ).
fof(f1173,plain,
( identity = sk_c8
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(superposition,[],[f1123,f2]) ).
fof(f1123,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(superposition,[],[f108,f1112]) ).
fof(f1112,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(backward_demodulation,[],[f604,f349]) ).
fof(f1157,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl11_2 ),
inference(superposition,[],[f2,f1062]) ).
fof(f2474,plain,
( sk_c8 != multiply(sk_c9,sk_c2)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f2452,f1691]) ).
fof(f1691,plain,
( sk_c2 = inverse(sk_c9)
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f1062,f1188]) ).
fof(f2452,plain,
( sk_c8 != multiply(sk_c9,inverse(sk_c9))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(trivial_inequality_removal,[],[f2450]) ).
fof(f2450,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c9,inverse(sk_c9))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(superposition,[],[f2430,f1790]) ).
fof(f1790,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(forward_demodulation,[],[f2,f1173]) ).
fof(f2430,plain,
( ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c9)
| sk_c8 != multiply(X3,inverse(X3)) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(forward_demodulation,[],[f130,f349]) ).
fof(f2429,plain,
( spl11_4
| ~ spl11_2
| ~ spl11_6
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f1891,f172,f159,f155,f138,f80,f132]) ).
fof(f1891,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6) )
| ~ spl11_2
| ~ spl11_6
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(forward_demodulation,[],[f1890,f349]) ).
fof(f1890,plain,
( ! [X6] :
( sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl11_2
| ~ spl11_6
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(forward_demodulation,[],[f139,f349]) ).
fof(f2403,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f2402]) ).
fof(f2402,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f2399,f1874]) ).
fof(f1874,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1717,f349]) ).
fof(f2399,plain,
( sk_c8 != multiply(sk_c2,sk_c9)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(trivial_inequality_removal,[],[f2396]) ).
fof(f2396,plain,
( sk_c9 != sk_c9
| sk_c8 != multiply(sk_c2,sk_c9)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f133,f2336]) ).
fof(f2336,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f2301,f1856]) ).
fof(f1856,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c8)
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1797,f1188]) ).
fof(f1797,plain,
( sk_c1 = multiply(inverse(sk_c2),sk_c8)
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(forward_demodulation,[],[f1165,f1173]) ).
fof(f1165,plain,
( sk_c1 = multiply(inverse(sk_c2),identity)
| ~ spl11_2 ),
inference(superposition,[],[f108,f1157]) ).
fof(f2301,plain,
( ! [X2] : multiply(X2,sk_c8) = X2
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(superposition,[],[f197,f1794]) ).
fof(f1794,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c8) = X0
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(superposition,[],[f108,f1790]) ).
fof(f1686,plain,
( spl11_8
| spl11_9 ),
inference(avatar_contradiction_clause,[],[f1685]) ).
fof(f1685,plain,
( $false
| spl11_8
| spl11_9 ),
inference(subsumption_resolution,[],[f1670,f173]) ).
fof(f1670,plain,
( sk_c9 = sF10
| spl11_8 ),
inference(subsumption_resolution,[],[f61,f160]) ).
fof(f61,plain,
( sk_c9 = sF3
| sk_c9 = sF10 ),
inference(definition_folding,[],[f10,f54,f40]) ).
fof(f10,axiom,
( sk_c9 = inverse(sk_c5)
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',prove_this_7) ).
fof(f1675,plain,
( spl11_11
| spl11_8 ),
inference(avatar_split_clause,[],[f168,f159,f532]) ).
fof(f1664,plain,
( spl11_11
| spl11_1 ),
inference(avatar_split_clause,[],[f87,f76,f532]) ).
fof(f87,plain,
( sk_c8 = sF9
| spl11_1 ),
inference(subsumption_resolution,[],[f53,f77]) ).
fof(f53,plain,
( sk_c7 = sF1
| sk_c8 = sF9 ),
inference(definition_folding,[],[f28,f52,f36]) ).
fof(f28,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',prove_this_25) ).
fof(f1646,plain,
( spl11_1
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f1645]) ).
fof(f1645,plain,
( $false
| spl11_1
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f1641,f1199]) ).
fof(f1199,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
| spl11_1
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1197,f1183]) ).
fof(f1183,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(backward_demodulation,[],[f1,f1173]) ).
fof(f1197,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c2,X0))
| spl11_1
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f3,f1191]) ).
fof(f1191,plain,
( sk_c8 = multiply(sk_c9,sk_c2)
| spl11_1
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(backward_demodulation,[],[f1102,f1188]) ).
fof(f1102,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| spl11_1 ),
inference(backward_demodulation,[],[f50,f85]) ).
fof(f85,plain,
( sk_c8 = sF8
| spl11_1 ),
inference(subsumption_resolution,[],[f51,f77]) ).
fof(f51,plain,
( sk_c7 = sF1
| sk_c8 = sF8 ),
inference(definition_folding,[],[f14,f50,f36]) ).
fof(f14,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',prove_this_11) ).
fof(f1641,plain,
( sk_c9 != multiply(sk_c9,multiply(sk_c2,sk_c9))
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(trivial_inequality_removal,[],[f1639]) ).
fof(f1639,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,multiply(sk_c2,sk_c9))
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f354,f1626]) ).
fof(f1626,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f1366,f1213]) ).
fof(f1213,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c8) = X0
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(superposition,[],[f108,f1179]) ).
fof(f1179,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(backward_demodulation,[],[f2,f1173]) ).
fof(f1366,plain,
( sk_c9 = multiply(inverse(inverse(inverse(sk_c2))),sk_c8)
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f108,f1171]) ).
fof(f1171,plain,
( sk_c8 = multiply(inverse(inverse(sk_c2)),sk_c9)
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(superposition,[],[f108,f1111]) ).
fof(f354,plain,
( ! [X8] :
( sk_c9 != inverse(X8)
| sk_c9 != multiply(sk_c9,multiply(X8,sk_c9)) )
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(backward_demodulation,[],[f136,f349]) ).
fof(f136,plain,
( ! [X8] :
( sk_c9 != inverse(X8)
| sk_c7 != multiply(sk_c9,multiply(X8,sk_c9)) )
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl11_5
<=> ! [X8] :
( sk_c9 != inverse(X8)
| sk_c7 != multiply(sk_c9,multiply(X8,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f1092,plain,
( ~ spl11_5
| spl11_7
| ~ spl11_8
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f1091]) ).
fof(f1091,plain,
( $false
| ~ spl11_5
| spl11_7
| ~ spl11_8
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f1090,f433]) ).
fof(f433,plain,
( sk_c7 != sk_c9
| ~ spl11_5
| ~ spl11_8 ),
inference(forward_demodulation,[],[f432,f391]) ).
fof(f391,plain,
( sk_c9 = multiply(sk_c9,sF4)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f185,f161]) ).
fof(f185,plain,
sk_c9 = multiply(sF3,sF4),
inference(superposition,[],[f115,f42]) ).
fof(f115,plain,
! [X0] : multiply(sF3,multiply(sk_c5,X0)) = X0,
inference(forward_demodulation,[],[f114,f1]) ).
fof(f114,plain,
! [X0] : multiply(identity,X0) = multiply(sF3,multiply(sk_c5,X0)),
inference(superposition,[],[f3,f93]) ).
fof(f432,plain,
( sk_c7 != multiply(sk_c9,sF4)
| ~ spl11_5
| ~ spl11_8 ),
inference(forward_demodulation,[],[f431,f42]) ).
fof(f431,plain,
( sk_c7 != multiply(sk_c9,multiply(sk_c5,sk_c9))
| ~ spl11_5
| ~ spl11_8 ),
inference(trivial_inequality_removal,[],[f429]) ).
fof(f429,plain,
( sk_c9 != sk_c9
| sk_c7 != multiply(sk_c9,multiply(sk_c5,sk_c9))
| ~ spl11_5
| ~ spl11_8 ),
inference(superposition,[],[f136,f393]) ).
fof(f1059,plain,
( spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f1058]) ).
fof(f1058,plain,
( $false
| spl11_2
| ~ spl11_5
| ~ spl11_8
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f1057,f433]) ).
fof(f1022,plain,
( spl11_7
| spl11_12 ),
inference(avatar_contradiction_clause,[],[f1021]) ).
fof(f1021,plain,
( $false
| spl11_7
| spl11_12 ),
inference(subsumption_resolution,[],[f1020,f156]) ).
fof(f1020,plain,
( sk_c8 = sF8
| spl11_12 ),
inference(subsumption_resolution,[],[f62,f537]) ).
fof(f537,plain,
( sk_c6 != sF4
| spl11_12 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f62,plain,
( sk_c6 = sF4
| sk_c8 = sF8 ),
inference(definition_folding,[],[f16,f50,f42]) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',prove_this_13) ).
fof(f978,plain,
( spl11_7
| spl11_10 ),
inference(avatar_contradiction_clause,[],[f977]) ).
fof(f977,plain,
( $false
| spl11_7
| spl11_10 ),
inference(subsumption_resolution,[],[f973,f156]) ).
fof(f973,plain,
( sk_c8 = sF8
| spl11_10 ),
inference(subsumption_resolution,[],[f57,f177]) ).
fof(f57,plain,
( sk_c9 = sF2
| sk_c8 = sF8 ),
inference(definition_folding,[],[f12,f50,f38]) ).
fof(f12,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',prove_this_9) ).
fof(f970,plain,
( ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f969]) ).
fof(f969,plain,
( $false
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f968,f433]) ).
fof(f582,plain,
( spl11_2
| spl11_12 ),
inference(avatar_contradiction_clause,[],[f581]) ).
fof(f581,plain,
( $false
| spl11_2
| spl11_12 ),
inference(subsumption_resolution,[],[f579,f81]) ).
fof(f579,plain,
( sk_c2 = sF0
| spl11_12 ),
inference(subsumption_resolution,[],[f43,f537]) ).
fof(f43,plain,
( sk_c2 = sF0
| sk_c6 = sF4 ),
inference(definition_folding,[],[f23,f42,f35]) ).
fof(f23,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',prove_this_20) ).
fof(f576,plain,
( spl11_9
| spl11_12 ),
inference(avatar_contradiction_clause,[],[f575]) ).
fof(f575,plain,
( $false
| spl11_9
| spl11_12 ),
inference(subsumption_resolution,[],[f574,f537]) ).
fof(f574,plain,
( sk_c6 = sF4
| spl11_9 ),
inference(subsumption_resolution,[],[f64,f173]) ).
fof(f64,plain,
( sk_c6 = sF4
| sk_c9 = sF10 ),
inference(definition_folding,[],[f9,f54,f42]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',prove_this_6) ).
fof(f573,plain,
( ~ spl11_5
| ~ spl11_8
| spl11_9
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f572]) ).
fof(f572,plain,
( $false
| ~ spl11_5
| ~ spl11_8
| spl11_9
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f571,f433]) ).
fof(f567,plain,
( ~ spl11_5
| ~ spl11_8
| spl11_11
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f566]) ).
fof(f566,plain,
( $false
| ~ spl11_5
| ~ spl11_8
| spl11_11
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f563,f433]) ).
fof(f539,plain,
( spl11_11
| spl11_12 ),
inference(avatar_split_clause,[],[f63,f536,f532]) ).
fof(f63,plain,
( sk_c6 = sF4
| sk_c8 = sF9 ),
inference(definition_folding,[],[f30,f52,f42]) ).
fof(f30,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',prove_this_27) ).
fof(f386,plain,
( spl11_2
| spl11_8 ),
inference(avatar_contradiction_clause,[],[f385]) ).
fof(f385,plain,
( $false
| spl11_2
| spl11_8 ),
inference(subsumption_resolution,[],[f383,f81]) ).
fof(f383,plain,
( sk_c2 = sF0
| spl11_8 ),
inference(subsumption_resolution,[],[f41,f160]) ).
fof(f41,plain,
( sk_c2 = sF0
| sk_c9 = sF3 ),
inference(definition_folding,[],[f24,f40,f35]) ).
fof(f24,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',prove_this_21) ).
fof(f382,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(avatar_contradiction_clause,[],[f381]) ).
fof(f381,plain,
( $false
| ~ spl11_1
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(subsumption_resolution,[],[f380,f338]) ).
fof(f338,plain,
( sk_c9 = multiply(sk_c9,sF6)
| ~ spl11_1
| spl11_8
| ~ spl11_9 ),
inference(forward_demodulation,[],[f333,f180]) ).
fof(f333,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c9,sF6)
| ~ spl11_1
| spl11_8
| ~ spl11_9 ),
inference(superposition,[],[f181,f321]) ).
fof(f321,plain,
( sk_c8 = multiply(sk_c8,sF6)
| ~ spl11_1
| spl11_8 ),
inference(forward_demodulation,[],[f316,f169]) ).
fof(f316,plain,
( multiply(sk_c2,sk_c7) = multiply(sk_c8,sF6)
| ~ spl11_1
| spl11_8 ),
inference(superposition,[],[f170,f152]) ).
fof(f181,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl11_9 ),
inference(superposition,[],[f3,f180]) ).
fof(f380,plain,
( sk_c9 != multiply(sk_c9,sF6)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(forward_demodulation,[],[f379,f352]) ).
fof(f352,plain,
( sF6 = multiply(sk_c4,sk_c9)
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(backward_demodulation,[],[f46,f349]) ).
fof(f379,plain,
( sk_c9 != multiply(sk_c9,multiply(sk_c4,sk_c9))
| ~ spl11_1
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(trivial_inequality_removal,[],[f376]) ).
fof(f376,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,multiply(sk_c4,sk_c9))
| ~ spl11_1
| ~ spl11_2
| ~ spl11_5
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(superposition,[],[f354,f356]) ).
fof(f356,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_7
| spl11_8
| ~ spl11_9 ),
inference(backward_demodulation,[],[f143,f349]) ).
fof(f228,plain,
( spl11_3
| spl11_4
| spl11_5
| spl11_6
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f188,f172,f138,f135,f132,f129]) ).
fof(f188,plain,
( ! [X3,X8,X6,X5] :
( sk_c7 != inverse(X6)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X5)
| sk_c7 != multiply(sk_c9,multiply(X8,sk_c9))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X5,sk_c9)
| sk_c8 != multiply(X3,inverse(X3)) )
| ~ spl11_9 ),
inference(subsumption_resolution,[],[f74,f174]) ).
fof(f74,plain,
! [X3,X8,X6,X5] :
( sk_c7 != inverse(X6)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X5)
| sk_c7 != multiply(sk_c9,multiply(X8,sk_c9))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X5,sk_c9)
| sk_c8 != multiply(X3,inverse(X3))
| sk_c9 != sF10 ),
inference(definition_folding,[],[f34,f54]) ).
fof(f34,plain,
! [X3,X8,X6,X5] :
( sk_c7 != inverse(X6)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X5)
| sk_c7 != multiply(sk_c9,multiply(X8,sk_c9))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X5,sk_c9)
| sk_c8 != multiply(X3,inverse(X3))
| multiply(sk_c7,sk_c8) != sk_c9 ),
inference(equality_resolution,[],[f33]) ).
fof(f33,plain,
! [X3,X8,X6,X7,X5] :
( sk_c7 != inverse(X6)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X5)
| sk_c7 != multiply(sk_c9,X7)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X5,sk_c9)
| sk_c8 != multiply(X3,inverse(X3))
| multiply(sk_c7,sk_c8) != sk_c9
| multiply(X8,sk_c9) != X7 ),
inference(equality_resolution,[],[f32]) ).
fof(f32,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c7 != inverse(X6)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X5)
| inverse(X3) != X4
| sk_c7 != multiply(sk_c9,X7)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X5,sk_c9)
| sk_c8 != multiply(X3,X4)
| multiply(sk_c7,sk_c8) != sk_c9
| multiply(X8,sk_c9) != X7 ),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',prove_this_29) ).
fof(f179,plain,
( spl11_9
| spl11_10 ),
inference(avatar_split_clause,[],[f60,f176,f172]) ).
fof(f60,plain,
( sk_c9 = sF2
| sk_c9 = sF10 ),
inference(definition_folding,[],[f5,f54,f38]) ).
fof(f5,axiom,
( sk_c9 = inverse(sk_c3)
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',prove_this_2) ).
fof(f162,plain,
( spl11_7
| spl11_8 ),
inference(avatar_split_clause,[],[f56,f159,f155]) ).
fof(f56,plain,
( sk_c9 = sF3
| sk_c8 = sF8 ),
inference(definition_folding,[],[f17,f50,f40]) ).
fof(f17,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715',prove_this_14) ).
fof(f140,plain,
( spl11_3
| spl11_4
| spl11_5
| spl11_6
| spl11_1 ),
inference(avatar_split_clause,[],[f119,f76,f138,f135,f132,f129]) ).
fof(f119,plain,
( ! [X3,X8,X6,X5] :
( sk_c7 != inverse(X6)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X5)
| sk_c7 != multiply(sk_c9,multiply(X8,sk_c9))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X5,sk_c9)
| sk_c8 != multiply(X3,inverse(X3)) )
| spl11_1 ),
inference(subsumption_resolution,[],[f74,f89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP370-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 00:04:13 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.14/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715
% 0.14/0.36 % (24824)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (24830)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.20/0.42 % (24829)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)
% 0.20/0.42 % (24827)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)
% 0.20/0.42 % (24828)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)
% 0.20/0.42 % (24826)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)
% 0.20/0.42 % (24825)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)
% 0.20/0.42 % (24831)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)
% 0.20/0.44 % (24828)Refutation not found, incomplete strategy% (24828)------------------------------
% 0.20/0.44 % (24828)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.44 % (24828)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.44 % (24828)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.44
% 0.20/0.44 % (24828)Memory used [KB]: 10362
% 0.20/0.44 % (24828)Time elapsed: 0.023 s
% 0.20/0.44 % (24828)------------------------------
% 0.20/0.44 % (24828)------------------------------
% 0.20/0.49 % (24832)ott+10_5_av=off:bsr=on:br=off:drc=off:fsd=off:fsr=off:fde=unused:gsp=on:lcm=predicate:lma=on:nwc=2.5:sos=all:sp=occurrence:tgt=full:urr=on_375 on Vampire---4 for (375ds/0Mi)
% 0.20/0.49 % (24830)First to succeed.
% 0.20/0.49 % (24832)Refutation not found, incomplete strategy% (24832)------------------------------
% 0.20/0.49 % (24832)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.49 % (24832)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.49 % (24832)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.49
% 0.20/0.49 % (24832)Memory used [KB]: 1023
% 0.20/0.49 % (24832)Time elapsed: 0.003 s
% 0.20/0.49 % (24832)------------------------------
% 0.20/0.49 % (24832)------------------------------
% 0.20/0.50 % (24830)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Unsatisfiable for Vampire---4
% 0.20/0.50 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.50 % (24830)------------------------------
% 0.20/0.50 % (24830)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.50 % (24830)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.50 % (24830)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (24830)Memory used [KB]: 6524
% 0.20/0.50 % (24830)Time elapsed: 0.080 s
% 0.20/0.50 % (24830)------------------------------
% 0.20/0.50 % (24830)------------------------------
% 0.20/0.50 % (24824)Success in time 0.136 s
% 0.20/0.50 24825 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.TTfI8FQ2El/Vampire---4.8_24715
% 0.20/0.50 % (24825)------------------------------
% 0.20/0.50 % (24825)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.50 % (24825)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.50 % (24825)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown
% 0.20/0.50
% 0.20/0.50 % (24825)Memory used [KB]: 5884
% 0.20/0.50 % (24825)Time elapsed: 0.081 s
% 0.20/0.50 % (24825)------------------------------
% 0.20/0.50 % (24825)------------------------------
% 0.20/0.50 % Vampire---4.8 exiting
%------------------------------------------------------------------------------