TSTP Solution File: GRP292-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP292-1 : 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 : n008.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 01:23:07 EDT 2023
% Result : Unsatisfiable 0.23s 0.47s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 35
% Syntax : Number of formulae : 207 ( 23 unt; 0 def)
% Number of atoms : 629 ( 270 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 774 ( 352 ~; 411 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 12 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-2 aty)
% Number of variables : 57 (; 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1575,plain,
$false,
inference(avatar_sat_refutation,[],[f64,f119,f231,f304,f330,f392,f705,f732,f816,f824,f940,f942,f987,f1321,f1409,f1473,f1559,f1564,f1574]) ).
fof(f1574,plain,
( spl9_3
| spl9_9 ),
inference(avatar_contradiction_clause,[],[f1573]) ).
fof(f1573,plain,
( $false
| spl9_3
| spl9_9 ),
inference(subsumption_resolution,[],[f727,f324]) ).
fof(f324,plain,
( sk_c6 != sF7
| spl9_9 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f323,plain,
( spl9_9
<=> sk_c6 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_9])]) ).
fof(f727,plain,
( sk_c6 = sF7
| spl9_3 ),
inference(subsumption_resolution,[],[f53,f109]) ).
fof(f109,plain,
( sk_c5 != sF5
| spl9_3 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl9_3
<=> sk_c5 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f53,plain,
( sk_c6 = sF7
| sk_c5 = sF5 ),
inference(definition_folding,[],[f5,f35,f39]) ).
fof(f39,plain,
multiply(sk_c3,sk_c4) = sF7,
introduced(function_definition,[]) ).
fof(f35,plain,
multiply(sk_c7,sk_c6) = sF5,
introduced(function_definition,[]) ).
fof(f5,axiom,
( sk_c6 = multiply(sk_c3,sk_c4)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.LYACnxBKJ0/Vampire---4.8_4511',prove_this_2) ).
fof(f1564,plain,
( spl9_2
| spl9_10 ),
inference(avatar_contradiction_clause,[],[f1563]) ).
fof(f1563,plain,
( $false
| spl9_2
| spl9_10 ),
inference(subsumption_resolution,[],[f1561,f62]) ).
fof(f62,plain,
( sk_c4 != sF0
| spl9_2 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl9_2
<=> sk_c4 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f1561,plain,
( sk_c4 = sF0
| spl9_10 ),
inference(subsumption_resolution,[],[f32,f328]) ).
fof(f328,plain,
( sk_c6 != sF3
| spl9_10 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f327,plain,
( spl9_10
<=> sk_c6 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_10])]) ).
fof(f32,plain,
( sk_c4 = sF0
| sk_c6 = sF3 ),
inference(definition_folding,[],[f10,f31,f26]) ).
fof(f26,plain,
inverse(sk_c3) = sF0,
introduced(function_definition,[]) ).
fof(f31,plain,
multiply(sk_c1,sk_c7) = sF3,
introduced(function_definition,[]) ).
fof(f10,axiom,
( sk_c4 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.LYACnxBKJ0/Vampire---4.8_4511',prove_this_7) ).
fof(f1559,plain,
( ~ spl9_2
| ~ spl9_9
| spl9_12 ),
inference(avatar_contradiction_clause,[],[f1558]) ).
fof(f1558,plain,
( $false
| ~ spl9_2
| ~ spl9_9
| spl9_12 ),
inference(subsumption_resolution,[],[f1553,f374]) ).
fof(f374,plain,
( identity != sk_c6
| spl9_12 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f372,plain,
( spl9_12
<=> identity = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_12])]) ).
fof(f1553,plain,
( identity = sk_c6
| ~ spl9_2
| ~ spl9_9 ),
inference(superposition,[],[f2,f798]) ).
fof(f798,plain,
( sk_c6 = multiply(inverse(sk_c4),sk_c4)
| ~ spl9_2
| ~ spl9_9 ),
inference(superposition,[],[f87,f768]) ).
fof(f768,plain,
( sk_c4 = multiply(sk_c4,sk_c6)
| ~ spl9_2
| ~ spl9_9 ),
inference(forward_demodulation,[],[f766,f742]) ).
fof(f742,plain,
( sk_c4 = inverse(sk_c3)
| ~ spl9_2 ),
inference(forward_demodulation,[],[f26,f63]) ).
fof(f63,plain,
( sk_c4 = sF0
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f766,plain,
( sk_c4 = multiply(inverse(sk_c3),sk_c6)
| ~ spl9_9 ),
inference(superposition,[],[f87,f765]) ).
fof(f765,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| ~ spl9_9 ),
inference(forward_demodulation,[],[f39,f325]) ).
fof(f325,plain,
( sk_c6 = sF7
| ~ spl9_9 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f87,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f77,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.LYACnxBKJ0/Vampire---4.8_4511',left_identity) ).
fof(f77,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.LYACnxBKJ0/Vampire---4.8_4511',associativity) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.LYACnxBKJ0/Vampire---4.8_4511',left_inverse) ).
fof(f1473,plain,
( spl9_1
| ~ spl9_2
| ~ spl9_3
| spl9_12 ),
inference(avatar_contradiction_clause,[],[f1472]) ).
fof(f1472,plain,
( $false
| spl9_1
| ~ spl9_2
| ~ spl9_3
| spl9_12 ),
inference(subsumption_resolution,[],[f1467,f374]) ).
fof(f1467,plain,
( identity = sk_c6
| spl9_1
| ~ spl9_2
| ~ spl9_3 ),
inference(superposition,[],[f2,f993]) ).
fof(f993,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c5)
| spl9_1
| ~ spl9_2
| ~ spl9_3 ),
inference(forward_demodulation,[],[f992,f201]) ).
fof(f201,plain,
( sk_c7 = sk_c5
| spl9_1
| ~ spl9_2
| ~ spl9_3 ),
inference(backward_demodulation,[],[f182,f108]) ).
fof(f108,plain,
( sk_c5 = sF5
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f182,plain,
( sk_c7 = sF5
| spl9_1
| ~ spl9_2 ),
inference(backward_demodulation,[],[f35,f181]) ).
fof(f181,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| spl9_1
| ~ spl9_2 ),
inference(forward_demodulation,[],[f178,f67]) ).
fof(f67,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| spl9_1 ),
inference(backward_demodulation,[],[f37,f66]) ).
fof(f66,plain,
( sk_c7 = sF6
| spl9_1 ),
inference(subsumption_resolution,[],[f38,f58]) ).
fof(f58,plain,
( sk_c7 != sF1
| spl9_1 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl9_1
<=> sk_c7 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f38,plain,
( sk_c7 = sF1
| sk_c7 = sF6 ),
inference(definition_folding,[],[f12,f37,f27]) ).
fof(f27,plain,
inverse(sk_c1) = sF1,
introduced(function_definition,[]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.LYACnxBKJ0/Vampire---4.8_4511',prove_this_9) ).
fof(f37,plain,
multiply(sk_c5,sk_c6) = sF6,
introduced(function_definition,[]) ).
fof(f178,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c5,sk_c6)
| spl9_1
| ~ spl9_2 ),
inference(superposition,[],[f79,f174]) ).
fof(f174,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| spl9_1
| ~ spl9_2 ),
inference(forward_demodulation,[],[f168,f69]) ).
fof(f69,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| spl9_1 ),
inference(backward_demodulation,[],[f39,f68]) ).
fof(f68,plain,
( sk_c6 = sF7
| spl9_1 ),
inference(subsumption_resolution,[],[f40,f58]) ).
fof(f40,plain,
( sk_c7 = sF1
| sk_c6 = sF7 ),
inference(definition_folding,[],[f13,f39,f27]) ).
fof(f13,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox2/tmp/tmp.LYACnxBKJ0/Vampire---4.8_4511',prove_this_10) ).
fof(f168,plain,
( multiply(sk_c3,sk_c4) = multiply(sk_c6,sk_c6)
| spl9_1
| ~ spl9_2 ),
inference(superposition,[],[f80,f93]) ).
fof(f93,plain,
( sk_c4 = multiply(sk_c4,sk_c6)
| spl9_1
| ~ spl9_2 ),
inference(superposition,[],[f88,f69]) ).
fof(f88,plain,
( ! [X12] : multiply(sk_c4,multiply(sk_c3,X12)) = X12
| ~ spl9_2 ),
inference(forward_demodulation,[],[f82,f1]) ).
fof(f82,plain,
( ! [X12] : multiply(sk_c4,multiply(sk_c3,X12)) = multiply(identity,X12)
| ~ spl9_2 ),
inference(superposition,[],[f3,f74]) ).
fof(f74,plain,
( identity = multiply(sk_c4,sk_c3)
| ~ spl9_2 ),
inference(superposition,[],[f2,f65]) ).
fof(f65,plain,
( sk_c4 = inverse(sk_c3)
| ~ spl9_2 ),
inference(backward_demodulation,[],[f26,f63]) ).
fof(f80,plain,
( ! [X10] : multiply(sk_c3,multiply(sk_c4,X10)) = multiply(sk_c6,X10)
| spl9_1 ),
inference(superposition,[],[f3,f69]) ).
fof(f79,plain,
( ! [X9] : multiply(sk_c5,multiply(sk_c6,X9)) = multiply(sk_c7,X9)
| spl9_1 ),
inference(superposition,[],[f3,f67]) ).
fof(f992,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c5)
| ~ spl9_3 ),
inference(forward_demodulation,[],[f127,f108]) ).
fof(f127,plain,
sk_c6 = multiply(inverse(sk_c7),sF5),
inference(superposition,[],[f87,f35]) ).
fof(f1409,plain,
( ~ spl9_5
| ~ spl9_8
| ~ spl9_12 ),
inference(avatar_contradiction_clause,[],[f1408]) ).
fof(f1408,plain,
( $false
| ~ spl9_5
| ~ spl9_8
| ~ spl9_12 ),
inference(subsumption_resolution,[],[f1361,f1345]) ).
fof(f1345,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl9_8
| ~ spl9_12 ),
inference(backward_demodulation,[],[f33,f1344]) ).
fof(f1344,plain,
( sk_c6 = sF4
| ~ spl9_8
| ~ spl9_12 ),
inference(forward_demodulation,[],[f1337,f395]) ).
fof(f395,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c6
| ~ spl9_12 ),
inference(backward_demodulation,[],[f2,f373]) ).
fof(f373,plain,
( identity = sk_c6
| ~ spl9_12 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f1337,plain,
( sF4 = multiply(inverse(sk_c5),sk_c5)
| ~ spl9_8 ),
inference(backward_demodulation,[],[f800,f271]) ).
fof(f271,plain,
( sk_c5 = sF2
| ~ spl9_8 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f269,plain,
( spl9_8
<=> sk_c5 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).
fof(f800,plain,
sF4 = multiply(inverse(sF2),sk_c5),
inference(superposition,[],[f87,f794]) ).
fof(f794,plain,
sk_c5 = multiply(sF2,sF4),
inference(forward_demodulation,[],[f792,f29]) ).
fof(f29,plain,
inverse(sk_c2) = sF2,
introduced(function_definition,[]) ).
fof(f792,plain,
sk_c5 = multiply(inverse(sk_c2),sF4),
inference(superposition,[],[f87,f33]) ).
fof(f33,plain,
multiply(sk_c2,sk_c5) = sF4,
introduced(function_definition,[]) ).
fof(f1361,plain,
( sk_c6 != multiply(sk_c2,sk_c5)
| ~ spl9_5
| ~ spl9_8 ),
inference(trivial_inequality_removal,[],[f1356]) ).
fof(f1356,plain,
( sk_c5 != sk_c5
| sk_c6 != multiply(sk_c2,sk_c5)
| ~ spl9_5
| ~ spl9_8 ),
inference(superposition,[],[f115,f1332]) ).
fof(f1332,plain,
( sk_c5 = inverse(sk_c2)
| ~ spl9_8 ),
inference(backward_demodulation,[],[f29,f271]) ).
fof(f115,plain,
( ! [X4] :
( sk_c5 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5) )
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl9_5
<=> ! [X4] :
( sk_c5 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
fof(f1321,plain,
( ~ spl9_5
| spl9_8
| ~ spl9_12 ),
inference(avatar_contradiction_clause,[],[f1320]) ).
fof(f1320,plain,
( $false
| ~ spl9_5
| spl9_8
| ~ spl9_12 ),
inference(subsumption_resolution,[],[f1319,f921]) ).
fof(f921,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| spl9_8 ),
inference(backward_demodulation,[],[f41,f920]) ).
fof(f920,plain,
( sk_c6 = sF8
| spl9_8 ),
inference(subsumption_resolution,[],[f45,f270]) ).
fof(f270,plain,
( sk_c5 != sF2
| spl9_8 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f45,plain,
( sk_c5 = sF2
| sk_c6 = sF8 ),
inference(definition_folding,[],[f23,f41,f29]) ).
fof(f23,axiom,
( sk_c5 = inverse(sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.LYACnxBKJ0/Vampire---4.8_4511',prove_this_20) ).
fof(f41,plain,
multiply(sk_c4,sk_c5) = sF8,
introduced(function_definition,[]) ).
fof(f1319,plain,
( sk_c6 != multiply(sk_c4,sk_c5)
| ~ spl9_5
| spl9_8
| ~ spl9_12 ),
inference(trivial_inequality_removal,[],[f1314]) ).
fof(f1314,plain,
( sk_c5 != sk_c5
| sk_c6 != multiply(sk_c4,sk_c5)
| ~ spl9_5
| spl9_8
| ~ spl9_12 ),
inference(superposition,[],[f115,f1264]) ).
fof(f1264,plain,
( sk_c5 = inverse(sk_c4)
| spl9_8
| ~ spl9_12 ),
inference(superposition,[],[f1235,f922]) ).
fof(f922,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c6)
| spl9_8 ),
inference(superposition,[],[f87,f921]) ).
fof(f1235,plain,
( ! [X3] : multiply(X3,sk_c6) = X3
| ~ spl9_12 ),
inference(superposition,[],[f126,f414]) ).
fof(f414,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c6) = X0
| ~ spl9_12 ),
inference(superposition,[],[f87,f395]) ).
fof(f126,plain,
! [X6,X5] : multiply(X5,X6) = multiply(inverse(inverse(X5)),X6),
inference(superposition,[],[f87,f87]) ).
fof(f987,plain,
( spl9_5
| spl9_1
| ~ spl9_2
| ~ spl9_3
| ~ spl9_6 ),
inference(avatar_split_clause,[],[f970,f117,f107,f61,f57,f114]) ).
fof(f117,plain,
( spl9_6
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
fof(f970,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c5)
| sk_c5 != inverse(X3) )
| spl9_1
| ~ spl9_2
| ~ spl9_3
| ~ spl9_6 ),
inference(forward_demodulation,[],[f969,f201]) ).
fof(f969,plain,
( ! [X3] :
( sk_c5 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| spl9_1
| ~ spl9_2
| ~ spl9_3
| ~ spl9_6 ),
inference(forward_demodulation,[],[f118,f201]) ).
fof(f118,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f942,plain,
( ~ spl9_1
| spl9_10
| ~ spl9_12 ),
inference(avatar_contradiction_clause,[],[f941]) ).
fof(f941,plain,
( $false
| ~ spl9_1
| spl9_10
| ~ spl9_12 ),
inference(subsumption_resolution,[],[f466,f328]) ).
fof(f466,plain,
( sk_c6 = sF3
| ~ spl9_1
| ~ spl9_12 ),
inference(forward_demodulation,[],[f259,f395]) ).
fof(f259,plain,
( sF3 = multiply(inverse(sk_c7),sk_c7)
| ~ spl9_1 ),
inference(superposition,[],[f87,f247]) ).
fof(f247,plain,
( sk_c7 = multiply(sk_c7,sF3)
| ~ spl9_1 ),
inference(forward_demodulation,[],[f245,f238]) ).
fof(f238,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl9_1 ),
inference(backward_demodulation,[],[f27,f59]) ).
fof(f59,plain,
( sk_c7 = sF1
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f245,plain,
sk_c7 = multiply(inverse(sk_c1),sF3),
inference(superposition,[],[f87,f31]) ).
fof(f940,plain,
( spl9_4
| spl9_5
| spl9_5
| ~ spl9_1
| ~ spl9_3
| ~ spl9_7
| ~ spl9_10
| ~ spl9_12 ),
inference(avatar_split_clause,[],[f931,f372,f327,f265,f107,f57,f114,f114,f111]) ).
fof(f111,plain,
( spl9_4
<=> ! [X5] :
( sk_c6 != multiply(inverse(X5),sk_c5)
| sk_c6 != multiply(X5,inverse(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
fof(f265,plain,
( spl9_7
<=> sk_c7 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).
fof(f931,plain,
( ! [X3,X4,X5] :
( sk_c6 != multiply(X3,sk_c5)
| sk_c5 != inverse(X3)
| sk_c5 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(inverse(X5),sk_c5)
| sk_c6 != multiply(X5,inverse(X5)) )
| ~ spl9_1
| ~ spl9_3
| ~ spl9_7
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f930,f828]) ).
fof(f828,plain,
( sk_c7 = sk_c5
| ~ spl9_1
| ~ spl9_3
| ~ spl9_10 ),
inference(backward_demodulation,[],[f59,f338]) ).
fof(f338,plain,
( sk_c5 = sF1
| ~ spl9_1
| ~ spl9_3
| ~ spl9_10 ),
inference(backward_demodulation,[],[f59,f333]) ).
fof(f333,plain,
( sk_c7 = sk_c5
| ~ spl9_1
| ~ spl9_3
| ~ spl9_10 ),
inference(forward_demodulation,[],[f331,f234]) ).
fof(f234,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl9_3 ),
inference(forward_demodulation,[],[f35,f108]) ).
fof(f331,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl9_1
| ~ spl9_10 ),
inference(backward_demodulation,[],[f247,f329]) ).
fof(f329,plain,
( sk_c6 = sF3
| ~ spl9_10 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f930,plain,
( ! [X3,X4,X5] :
( sk_c5 != inverse(X3)
| sk_c5 != inverse(X4)
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(inverse(X5),sk_c5)
| sk_c6 != multiply(X5,inverse(X5)) )
| ~ spl9_1
| ~ spl9_3
| ~ spl9_7
| ~ spl9_10
| ~ spl9_12 ),
inference(subsumption_resolution,[],[f929,f828]) ).
fof(f929,plain,
( ! [X3,X4,X5] :
( sk_c7 != sk_c5
| sk_c5 != inverse(X3)
| sk_c5 != inverse(X4)
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(inverse(X5),sk_c5)
| sk_c6 != multiply(X5,inverse(X5)) )
| ~ spl9_1
| ~ spl9_3
| ~ spl9_7
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f928,f342]) ).
fof(f342,plain,
( sk_c5 = sF6
| ~ spl9_1
| ~ spl9_3
| ~ spl9_7
| ~ spl9_10 ),
inference(backward_demodulation,[],[f267,f333]) ).
fof(f267,plain,
( sk_c7 = sF6
| ~ spl9_7 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f928,plain,
( ! [X3,X4,X5] :
( sk_c5 != inverse(X3)
| sk_c5 != inverse(X4)
| sk_c7 != sF6
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(inverse(X5),sk_c5)
| sk_c6 != multiply(X5,inverse(X5)) )
| ~ spl9_1
| ~ spl9_3
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f927,f828]) ).
fof(f927,plain,
( ! [X3,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c5 != inverse(X4)
| sk_c7 != sF6
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(inverse(X5),sk_c5)
| sk_c6 != multiply(X5,inverse(X5)) )
| ~ spl9_1
| ~ spl9_3
| ~ spl9_10
| ~ spl9_12 ),
inference(subsumption_resolution,[],[f825,f828]) ).
fof(f825,plain,
( ! [X3,X4,X5] :
( sk_c7 != sk_c5
| sk_c7 != inverse(X3)
| sk_c5 != inverse(X4)
| sk_c7 != sF6
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(inverse(X5),sk_c5)
| sk_c6 != multiply(X5,inverse(X5)) )
| ~ spl9_12 ),
inference(forward_demodulation,[],[f55,f593]) ).
fof(f593,plain,
( sk_c7 = sF5
| ~ spl9_12 ),
inference(forward_demodulation,[],[f162,f414]) ).
fof(f162,plain,
sF5 = multiply(inverse(inverse(sk_c7)),sk_c6),
inference(superposition,[],[f87,f127]) ).
fof(f55,plain,
! [X3,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c5 != inverse(X4)
| sk_c7 != sF6
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(inverse(X5),sk_c5)
| sk_c6 != multiply(X5,inverse(X5))
| sk_c5 != sF5 ),
inference(definition_folding,[],[f25,f35,f37]) ).
fof(f25,plain,
! [X3,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c5 != inverse(X4)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(inverse(X5),sk_c5)
| sk_c6 != multiply(X5,inverse(X5))
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(equality_resolution,[],[f24]) ).
fof(f24,axiom,
! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c5 != inverse(X4)
| inverse(X5) != X6
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X5,X6)
| multiply(sk_c7,sk_c6) != sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.LYACnxBKJ0/Vampire---4.8_4511',prove_this_21) ).
fof(f824,plain,
( spl9_3
| spl9_7 ),
inference(avatar_contradiction_clause,[],[f823]) ).
fof(f823,plain,
( $false
| spl9_3
| spl9_7 ),
inference(subsumption_resolution,[],[f819,f266]) ).
fof(f266,plain,
( sk_c7 != sF6
| spl9_7 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f819,plain,
( sk_c7 = sF6
| spl9_3 ),
inference(subsumption_resolution,[],[f48,f109]) ).
fof(f48,plain,
( sk_c7 = sF6
| sk_c5 = sF5 ),
inference(definition_folding,[],[f4,f35,f37]) ).
fof(f4,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.LYACnxBKJ0/Vampire---4.8_4511',prove_this_1) ).
fof(f816,plain,
( spl9_3
| ~ spl9_7
| ~ spl9_12 ),
inference(avatar_contradiction_clause,[],[f815]) ).
fof(f815,plain,
( $false
| spl9_3
| ~ spl9_7
| ~ spl9_12 ),
inference(subsumption_resolution,[],[f814,f737]) ).
fof(f737,plain,
( sk_c7 != sk_c5
| spl9_3
| ~ spl9_12 ),
inference(superposition,[],[f109,f593]) ).
fof(f814,plain,
( sk_c7 = sk_c5
| ~ spl9_7
| ~ spl9_12 ),
inference(forward_demodulation,[],[f812,f414]) ).
fof(f812,plain,
( sk_c7 = multiply(inverse(inverse(sk_c5)),sk_c6)
| ~ spl9_7 ),
inference(superposition,[],[f87,f315]) ).
fof(f315,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c7)
| ~ spl9_7 ),
inference(superposition,[],[f87,f314]) ).
fof(f314,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl9_7 ),
inference(forward_demodulation,[],[f37,f267]) ).
fof(f732,plain,
( spl9_2
| spl9_3 ),
inference(avatar_contradiction_clause,[],[f731]) ).
fof(f731,plain,
( $false
| spl9_2
| spl9_3 ),
inference(subsumption_resolution,[],[f726,f62]) ).
fof(f726,plain,
( sk_c4 = sF0
| spl9_3 ),
inference(subsumption_resolution,[],[f36,f109]) ).
fof(f36,plain,
( sk_c4 = sF0
| sk_c5 = sF5 ),
inference(definition_folding,[],[f6,f35,f26]) ).
fof(f6,axiom,
( sk_c4 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.LYACnxBKJ0/Vampire---4.8_4511',prove_this_3) ).
fof(f705,plain,
( ~ spl9_1
| ~ spl9_3
| ~ spl9_4
| ~ spl9_10
| ~ spl9_12 ),
inference(avatar_contradiction_clause,[],[f704]) ).
fof(f704,plain,
( $false
| ~ spl9_1
| ~ spl9_3
| ~ spl9_4
| ~ spl9_10
| ~ spl9_12 ),
inference(subsumption_resolution,[],[f703,f401]) ).
fof(f401,plain,
( sk_c6 = multiply(sk_c5,sk_c1)
| ~ spl9_1
| ~ spl9_3
| ~ spl9_10
| ~ spl9_12 ),
inference(backward_demodulation,[],[f340,f373]) ).
fof(f340,plain,
( identity = multiply(sk_c5,sk_c1)
| ~ spl9_1
| ~ spl9_3
| ~ spl9_10 ),
inference(backward_demodulation,[],[f237,f333]) ).
fof(f237,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl9_1 ),
inference(backward_demodulation,[],[f73,f59]) ).
fof(f73,plain,
identity = multiply(sF1,sk_c1),
inference(superposition,[],[f2,f27]) ).
fof(f703,plain,
( sk_c6 != multiply(sk_c5,sk_c1)
| ~ spl9_1
| ~ spl9_3
| ~ spl9_4
| ~ spl9_10
| ~ spl9_12 ),
inference(forward_demodulation,[],[f702,f683]) ).
fof(f683,plain,
( sk_c1 = inverse(sk_c5)
| ~ spl9_1
| ~ spl9_3
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f584,f414]) ).
fof(f584,plain,
( sk_c1 = multiply(inverse(inverse(inverse(sk_c5))),sk_c6)
| ~ spl9_1
| ~ spl9_3
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f87,f454]) ).
fof(f454,plain,
( sk_c6 = multiply(inverse(inverse(sk_c5)),sk_c1)
| ~ spl9_1
| ~ spl9_3
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f87,f418]) ).
fof(f418,plain,
( sk_c1 = multiply(inverse(sk_c5),sk_c6)
| ~ spl9_1
| ~ spl9_3
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f87,f401]) ).
fof(f702,plain,
( sk_c6 != multiply(sk_c5,inverse(sk_c5))
| ~ spl9_1
| ~ spl9_3
| ~ spl9_4
| ~ spl9_10
| ~ spl9_12 ),
inference(subsumption_resolution,[],[f696,f344]) ).
fof(f344,plain,
( sk_c6 = multiply(sk_c1,sk_c5)
| ~ spl9_1
| ~ spl9_3
| ~ spl9_10 ),
inference(backward_demodulation,[],[f332,f333]) ).
fof(f332,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl9_10 ),
inference(backward_demodulation,[],[f31,f329]) ).
fof(f696,plain,
( sk_c6 != multiply(sk_c1,sk_c5)
| sk_c6 != multiply(sk_c5,inverse(sk_c5))
| ~ spl9_1
| ~ spl9_3
| ~ spl9_4
| ~ spl9_10
| ~ spl9_12 ),
inference(superposition,[],[f112,f683]) ).
fof(f112,plain,
( ! [X5] :
( sk_c6 != multiply(inverse(X5),sk_c5)
| sk_c6 != multiply(X5,inverse(X5)) )
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f392,plain,
( ~ spl9_1
| ~ spl9_3
| ~ spl9_10
| spl9_12 ),
inference(avatar_contradiction_clause,[],[f391]) ).
fof(f391,plain,
( $false
| ~ spl9_1
| ~ spl9_3
| ~ spl9_10
| spl9_12 ),
inference(subsumption_resolution,[],[f385,f374]) ).
fof(f385,plain,
( identity = sk_c6
| ~ spl9_1
| ~ spl9_3
| ~ spl9_10 ),
inference(superposition,[],[f2,f349]) ).
fof(f349,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c5)
| ~ spl9_1
| ~ spl9_3
| ~ spl9_10 ),
inference(superposition,[],[f87,f339]) ).
fof(f339,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl9_1
| ~ spl9_3
| ~ spl9_10 ),
inference(backward_demodulation,[],[f234,f333]) ).
fof(f330,plain,
( spl9_9
| spl9_10 ),
inference(avatar_split_clause,[],[f49,f327,f323]) ).
fof(f49,plain,
( sk_c6 = sF3
| sk_c6 = sF7 ),
inference(definition_folding,[],[f9,f39,f31]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox2/tmp/tmp.LYACnxBKJ0/Vampire---4.8_4511',prove_this_6) ).
fof(f304,plain,
( ~ spl9_1
| ~ spl9_3
| spl9_7 ),
inference(avatar_contradiction_clause,[],[f303]) ).
fof(f303,plain,
( $false
| ~ spl9_1
| ~ spl9_3
| spl9_7 ),
inference(subsumption_resolution,[],[f300,f294]) ).
fof(f294,plain,
( sk_c5 != sF6
| ~ spl9_1
| ~ spl9_3
| spl9_7 ),
inference(backward_demodulation,[],[f266,f289]) ).
fof(f289,plain,
( sk_c7 = sk_c5
| ~ spl9_1
| ~ spl9_3
| spl9_7 ),
inference(forward_demodulation,[],[f287,f234]) ).
fof(f287,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl9_1
| spl9_7 ),
inference(backward_demodulation,[],[f247,f286]) ).
fof(f286,plain,
( sk_c6 = sF3
| spl9_7 ),
inference(subsumption_resolution,[],[f46,f266]) ).
fof(f46,plain,
( sk_c7 = sF6
| sk_c6 = sF3 ),
inference(definition_folding,[],[f8,f31,f37]) ).
fof(f8,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.LYACnxBKJ0/Vampire---4.8_4511',prove_this_5) ).
fof(f300,plain,
( sk_c5 = sF6
| ~ spl9_1
| ~ spl9_3
| spl9_7 ),
inference(backward_demodulation,[],[f37,f291]) ).
fof(f291,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl9_1
| ~ spl9_3
| spl9_7 ),
inference(backward_demodulation,[],[f234,f289]) ).
fof(f231,plain,
( spl9_1
| ~ spl9_2
| ~ spl9_4 ),
inference(avatar_contradiction_clause,[],[f230]) ).
fof(f230,plain,
( $false
| spl9_1
| ~ spl9_2
| ~ spl9_4 ),
inference(subsumption_resolution,[],[f229,f69]) ).
fof(f229,plain,
( sk_c6 != multiply(sk_c3,sk_c4)
| spl9_1
| ~ spl9_2
| ~ spl9_4 ),
inference(forward_demodulation,[],[f228,f65]) ).
fof(f228,plain,
( sk_c6 != multiply(sk_c3,inverse(sk_c3))
| spl9_1
| ~ spl9_2
| ~ spl9_4 ),
inference(subsumption_resolution,[],[f223,f71]) ).
fof(f71,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| spl9_1 ),
inference(backward_demodulation,[],[f41,f70]) ).
fof(f70,plain,
( sk_c6 = sF8
| spl9_1 ),
inference(subsumption_resolution,[],[f42,f58]) ).
fof(f42,plain,
( sk_c7 = sF1
| sk_c6 = sF8 ),
inference(definition_folding,[],[f15,f41,f27]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.LYACnxBKJ0/Vampire---4.8_4511',prove_this_12) ).
fof(f223,plain,
( sk_c6 != multiply(sk_c4,sk_c5)
| sk_c6 != multiply(sk_c3,inverse(sk_c3))
| ~ spl9_2
| ~ spl9_4 ),
inference(superposition,[],[f112,f65]) ).
fof(f119,plain,
( ~ spl9_3
| spl9_4
| spl9_5
| spl9_6
| spl9_1 ),
inference(avatar_split_clause,[],[f97,f57,f117,f114,f111,f107]) ).
fof(f97,plain,
( ! [X3,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c5 != inverse(X4)
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != multiply(inverse(X5),sk_c5)
| sk_c6 != multiply(X5,inverse(X5))
| sk_c5 != sF5 )
| spl9_1 ),
inference(subsumption_resolution,[],[f55,f66]) ).
fof(f64,plain,
( spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f28,f61,f57]) ).
fof(f28,plain,
( sk_c4 = sF0
| sk_c7 = sF1 ),
inference(definition_folding,[],[f14,f27,f26]) ).
fof(f14,axiom,
( sk_c4 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.LYACnxBKJ0/Vampire---4.8_4511',prove_this_11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GRP292-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.37 % Computer : n008.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Aug 29 02:01:02 EDT 2023
% 0.15/0.38 % CPUTime :
% 0.15/0.38 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.LYACnxBKJ0/Vampire---4.8_4511
% 0.15/0.38 % (4658)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.42 % (4665)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)
% 0.23/0.44 % (4679)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.23/0.44 % (4672)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)
% 0.23/0.45 % (4671)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)
% 0.23/0.45 % (4682)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)
% 0.23/0.46 % (4679)First to succeed.
% 0.23/0.47 % (4679)Refutation found. Thanks to Tanya!
% 0.23/0.47 % SZS status Unsatisfiable for Vampire---4
% 0.23/0.47 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.47 % (4679)------------------------------
% 0.23/0.47 % (4679)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.47 % (4679)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.47 % (4679)Termination reason: Refutation
% 0.23/0.47
% 0.23/0.47 % (4679)Memory used [KB]: 6012
% 0.23/0.47 % (4679)Time elapsed: 0.052 s
% 0.23/0.47 % (4679)------------------------------
% 0.23/0.47 % (4679)------------------------------
% 0.23/0.47 % (4658)Success in time 0.087 s
% 0.23/0.47 4671 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.LYACnxBKJ0/Vampire---4.8_4511
% 0.23/0.47 % (4671)------------------------------
% 0.23/0.47 % (4671)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.47 % (4671)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.47 % (4671)Termination reason: Unknown
% 0.23/0.47 % (4671)Termination phase: Saturation
% 0.23/0.47
% 0.23/0.47 % (4671)Memory used [KB]: 895
% 0.23/0.47 % (4671)Time elapsed: 0.024 s
% 0.23/0.47 % (4671)------------------------------
% 0.23/0.47 % (4671)------------------------------
% 0.23/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------