TSTP Solution File: GRP344-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP344-1 : 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 : n021.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 01:23:24 EDT 2023
% Result : Unsatisfiable 0.21s 0.48s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 43
% Syntax : Number of formulae : 354 ( 28 unt; 0 def)
% Number of atoms : 1220 ( 410 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1651 ( 785 ~; 851 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-2 aty)
% Number of variables : 69 (; 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1741,plain,
$false,
inference(avatar_sat_refutation,[],[f58,f129,f156,f184,f199,f379,f415,f417,f494,f526,f556,f561,f584,f587,f636,f910,f913,f966,f1026,f1052,f1089,f1169,f1206,f1233,f1277,f1301,f1370,f1383,f1432,f1459,f1515,f1521,f1678,f1702,f1714,f1727,f1740]) ).
fof(f1740,plain,
( spl9_1
| ~ spl9_2
| ~ spl9_7
| spl9_10 ),
inference(avatar_contradiction_clause,[],[f1739]) ).
fof(f1739,plain,
( $false
| spl9_1
| ~ spl9_2
| ~ spl9_7
| spl9_10 ),
inference(subsumption_resolution,[],[f1738,f338]) ).
fof(f338,plain,
( sk_c6 = sk_c7
| spl9_1
| ~ spl9_2
| ~ spl9_7 ),
inference(backward_demodulation,[],[f320,f336]) ).
fof(f336,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| spl9_1
| ~ spl9_2
| ~ spl9_7 ),
inference(backward_demodulation,[],[f316,f333]) ).
fof(f333,plain,
( sk_c3 = sk_c4
| spl9_1
| ~ spl9_2
| ~ spl9_7 ),
inference(forward_demodulation,[],[f331,f270]) ).
fof(f270,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl9_7 ),
inference(superposition,[],[f83,f201]) ).
fof(f201,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl9_7 ),
inference(backward_demodulation,[],[f136,f155]) ).
fof(f155,plain,
( sk_c6 = sF3
| ~ spl9_7 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl9_7
<=> sk_c6 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).
fof(f136,plain,
identity = multiply(sF3,sk_c3),
inference(superposition,[],[f2,f27]) ).
fof(f27,plain,
inverse(sk_c3) = sF3,
introduced(function_definition,[]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.39HPeoZfaO/Vampire---4.8_3356',left_inverse) ).
fof(f83,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f72,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.39HPeoZfaO/Vampire---4.8_3356',left_identity) ).
fof(f72,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/sandbox/tmp/tmp.39HPeoZfaO/Vampire---4.8_3356',associativity) ).
fof(f331,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| spl9_1
| ~ spl9_2 ),
inference(superposition,[],[f83,f309]) ).
fof(f309,plain,
( identity = multiply(sk_c6,sk_c4)
| spl9_1
| ~ spl9_2 ),
inference(superposition,[],[f2,f306]) ).
fof(f306,plain,
( sk_c6 = inverse(sk_c4)
| spl9_1
| ~ spl9_2 ),
inference(forward_demodulation,[],[f59,f92]) ).
fof(f92,plain,
( sk_c6 = sk_c5
| spl9_1 ),
inference(backward_demodulation,[],[f49,f89]) ).
fof(f89,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| spl9_1 ),
inference(superposition,[],[f84,f65]) ).
fof(f65,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| spl9_1 ),
inference(backward_demodulation,[],[f33,f64]) ).
fof(f64,plain,
( sk_c7 = sF6
| spl9_1 ),
inference(subsumption_resolution,[],[f34,f52]) ).
fof(f52,plain,
( sk_c7 != sF2
| spl9_1 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl9_1
<=> sk_c7 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f34,plain,
( sk_c7 = sF2
| sk_c7 = sF6 ),
inference(definition_folding,[],[f5,f33,f25]) ).
fof(f25,plain,
inverse(sk_c1) = sF2,
introduced(function_definition,[]) ).
fof(f5,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.39HPeoZfaO/Vampire---4.8_3356',prove_this_2) ).
fof(f33,plain,
multiply(sk_c3,sk_c6) = sF6,
introduced(function_definition,[]) ).
fof(f84,plain,
( ! [X9] : multiply(sk_c6,multiply(sk_c3,X9)) = X9
| spl9_1 ),
inference(forward_demodulation,[],[f74,f1]) ).
fof(f74,plain,
( ! [X9] : multiply(sk_c6,multiply(sk_c3,X9)) = multiply(identity,X9)
| spl9_1 ),
inference(superposition,[],[f3,f67]) ).
fof(f67,plain,
( identity = multiply(sk_c6,sk_c3)
| spl9_1 ),
inference(superposition,[],[f2,f61]) ).
fof(f61,plain,
( sk_c6 = inverse(sk_c3)
| spl9_1 ),
inference(backward_demodulation,[],[f27,f60]) ).
fof(f60,plain,
( sk_c6 = sF3
| spl9_1 ),
inference(subsumption_resolution,[],[f28,f52]) ).
fof(f28,plain,
( sk_c7 = sF2
| sk_c6 = sF3 ),
inference(definition_folding,[],[f6,f27,f25]) ).
fof(f6,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/tmp/tmp.39HPeoZfaO/Vampire---4.8_3356',prove_this_3) ).
fof(f49,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(forward_demodulation,[],[f22,f23]) ).
fof(f23,plain,
sk_c5 = sF0,
inference(definition_folding,[],[f4,f22]) ).
fof(f4,axiom,
multiply(sk_c6,sk_c7) = sk_c5,
file('/export/starexec/sandbox/tmp/tmp.39HPeoZfaO/Vampire---4.8_3356',prove_this_1) ).
fof(f22,plain,
multiply(sk_c6,sk_c7) = sF0,
introduced(function_definition,[]) ).
fof(f59,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl9_2 ),
inference(backward_demodulation,[],[f24,f57]) ).
fof(f57,plain,
( sk_c5 = sF1
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl9_2
<=> sk_c5 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f24,plain,
inverse(sk_c4) = sF1,
introduced(function_definition,[]) ).
fof(f316,plain,
( sk_c6 = multiply(sk_c4,sk_c6)
| spl9_1 ),
inference(forward_demodulation,[],[f31,f98]) ).
fof(f98,plain,
( sk_c6 = sF5
| spl9_1 ),
inference(backward_demodulation,[],[f62,f92]) ).
fof(f62,plain,
( sk_c5 = sF5
| spl9_1 ),
inference(subsumption_resolution,[],[f32,f52]) ).
fof(f32,plain,
( sk_c7 = sF2
| sk_c5 = sF5 ),
inference(definition_folding,[],[f8,f31,f25]) ).
fof(f8,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.39HPeoZfaO/Vampire---4.8_3356',prove_this_5) ).
fof(f31,plain,
multiply(sk_c4,sk_c6) = sF5,
introduced(function_definition,[]) ).
fof(f320,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| spl9_1 ),
inference(forward_demodulation,[],[f33,f64]) ).
fof(f1738,plain,
( sk_c6 != sk_c7
| spl9_1
| spl9_10 ),
inference(forward_demodulation,[],[f495,f98]) ).
fof(f495,plain,
( sk_c7 != sF5
| spl9_10 ),
inference(superposition,[],[f489,f31]) ).
fof(f489,plain,
( sk_c7 != multiply(sk_c4,sk_c6)
| spl9_10 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f487,plain,
( spl9_10
<=> sk_c7 = multiply(sk_c4,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_10])]) ).
fof(f1727,plain,
( spl9_11
| spl9_1 ),
inference(avatar_split_clause,[],[f92,f51,f491]) ).
fof(f491,plain,
( spl9_11
<=> sk_c6 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_11])]) ).
fof(f1714,plain,
( ~ spl9_3
| ~ spl9_6
| ~ spl9_7
| ~ spl9_15 ),
inference(avatar_contradiction_clause,[],[f1713]) ).
fof(f1713,plain,
( $false
| ~ spl9_3
| ~ spl9_6
| ~ spl9_7
| ~ spl9_15 ),
inference(subsumption_resolution,[],[f835,f909]) ).
fof(f909,plain,
( sk_c7 = sF6
| ~ spl9_15 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f907,plain,
( spl9_15
<=> sk_c7 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_15])]) ).
fof(f835,plain,
( sk_c7 != sF6
| ~ spl9_3
| ~ spl9_6
| ~ spl9_7 ),
inference(superposition,[],[f815,f33]) ).
fof(f815,plain,
( sk_c7 != multiply(sk_c3,sk_c6)
| ~ spl9_3
| ~ spl9_6
| ~ spl9_7 ),
inference(forward_demodulation,[],[f481,f372]) ).
fof(f372,plain,
( sk_c3 = sk_c2
| ~ spl9_6
| ~ spl9_7 ),
inference(forward_demodulation,[],[f272,f270]) ).
fof(f272,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl9_6 ),
inference(superposition,[],[f83,f157]) ).
fof(f157,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl9_6 ),
inference(backward_demodulation,[],[f69,f151]) ).
fof(f151,plain,
( sk_c6 = sF4
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl9_6
<=> sk_c6 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
fof(f69,plain,
identity = multiply(sF4,sk_c2),
inference(superposition,[],[f2,f29]) ).
fof(f29,plain,
inverse(sk_c2) = sF4,
introduced(function_definition,[]) ).
fof(f481,plain,
( sk_c7 != multiply(sk_c2,sk_c6)
| ~ spl9_3
| ~ spl9_6 ),
inference(trivial_inequality_removal,[],[f480]) ).
fof(f480,plain,
( sk_c6 != sk_c6
| sk_c7 != multiply(sk_c2,sk_c6)
| ~ spl9_3
| ~ spl9_6 ),
inference(superposition,[],[f122,f158]) ).
fof(f158,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl9_6 ),
inference(backward_demodulation,[],[f29,f151]) ).
fof(f122,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl9_3
<=> ! [X5] :
( sk_c6 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f1702,plain,
( spl9_2
| spl9_12 ),
inference(avatar_contradiction_clause,[],[f1701]) ).
fof(f1701,plain,
( $false
| spl9_2
| spl9_12 ),
inference(subsumption_resolution,[],[f1680,f630]) ).
fof(f630,plain,
( sk_c7 != sF7
| spl9_12 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f629,plain,
( spl9_12
<=> sk_c7 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_12])]) ).
fof(f1680,plain,
( sk_c7 = sF7
| spl9_2 ),
inference(subsumption_resolution,[],[f36,f56]) ).
fof(f56,plain,
( sk_c5 != sF1
| spl9_2 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f36,plain,
( sk_c5 = sF1
| sk_c7 = sF7 ),
inference(definition_folding,[],[f11,f35,f24]) ).
fof(f35,plain,
multiply(sk_c1,sk_c6) = sF7,
introduced(function_definition,[]) ).
fof(f11,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.39HPeoZfaO/Vampire---4.8_3356',prove_this_8) ).
fof(f1678,plain,
( ~ spl9_1
| ~ spl9_6
| ~ spl9_7
| spl9_11
| ~ spl9_12
| ~ spl9_14 ),
inference(avatar_contradiction_clause,[],[f1677]) ).
fof(f1677,plain,
( $false
| ~ spl9_1
| ~ spl9_6
| ~ spl9_7
| spl9_11
| ~ spl9_12
| ~ spl9_14 ),
inference(subsumption_resolution,[],[f1673,f493]) ).
fof(f493,plain,
( sk_c6 != sk_c5
| spl9_11 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f1673,plain,
( sk_c6 = sk_c5
| ~ spl9_1
| ~ spl9_6
| ~ spl9_7
| ~ spl9_12
| ~ spl9_14 ),
inference(backward_demodulation,[],[f1640,f1650]) ).
fof(f1650,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl9_1
| ~ spl9_6
| ~ spl9_7
| ~ spl9_12
| ~ spl9_14 ),
inference(backward_demodulation,[],[f1546,f1639]) ).
fof(f1639,plain,
( sk_c6 = sk_c7
| ~ spl9_6
| ~ spl9_7
| ~ spl9_14 ),
inference(forward_demodulation,[],[f1609,f1608]) ).
fof(f1608,plain,
( sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl9_6
| ~ spl9_7
| ~ spl9_14 ),
inference(forward_demodulation,[],[f1552,f372]) ).
fof(f1552,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl9_14 ),
inference(forward_demodulation,[],[f37,f905]) ).
fof(f905,plain,
( sk_c6 = sF8
| ~ spl9_14 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f903,plain,
( spl9_14
<=> sk_c6 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_14])]) ).
fof(f37,plain,
multiply(sk_c2,sk_c5) = sF8,
introduced(function_definition,[]) ).
fof(f1609,plain,
( sk_c7 = multiply(sk_c3,sk_c5)
| ~ spl9_7 ),
inference(superposition,[],[f1086,f49]) ).
fof(f1086,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = X0
| ~ spl9_7 ),
inference(forward_demodulation,[],[f1084,f702]) ).
fof(f702,plain,
( ! [X0] : multiply(sF6,X0) = X0
| ~ spl9_7 ),
inference(backward_demodulation,[],[f1,f685]) ).
fof(f685,plain,
( identity = sF6
| ~ spl9_7 ),
inference(superposition,[],[f622,f2]) ).
fof(f622,plain,
( sF6 = multiply(inverse(sk_c6),sk_c6)
| ~ spl9_7 ),
inference(superposition,[],[f83,f589]) ).
fof(f589,plain,
( sk_c6 = multiply(sk_c6,sF6)
| ~ spl9_7 ),
inference(backward_demodulation,[],[f437,f155]) ).
fof(f437,plain,
sk_c6 = multiply(sF3,sF6),
inference(forward_demodulation,[],[f435,f27]) ).
fof(f435,plain,
sk_c6 = multiply(inverse(sk_c3),sF6),
inference(superposition,[],[f83,f33]) ).
fof(f1084,plain,
! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sF6,X0),
inference(superposition,[],[f3,f33]) ).
fof(f1546,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl9_1
| ~ spl9_12 ),
inference(forward_demodulation,[],[f1544,f419]) ).
fof(f419,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl9_1 ),
inference(backward_demodulation,[],[f25,f53]) ).
fof(f53,plain,
( sk_c7 = sF2
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f1544,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c7)
| ~ spl9_12 ),
inference(superposition,[],[f83,f1211]) ).
fof(f1211,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl9_12 ),
inference(forward_demodulation,[],[f35,f631]) ).
fof(f631,plain,
( sk_c7 = sF7
| ~ spl9_12 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f1640,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl9_6
| ~ spl9_7
| ~ spl9_14 ),
inference(backward_demodulation,[],[f49,f1639]) ).
fof(f1521,plain,
( spl9_15
| ~ spl9_1
| ~ spl9_4 ),
inference(avatar_split_clause,[],[f222,f124,f51,f907]) ).
fof(f124,plain,
( spl9_4
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
fof(f222,plain,
( sk_c7 = sF6
| ~ spl9_1
| ~ spl9_4 ),
inference(subsumption_resolution,[],[f45,f209]) ).
fof(f209,plain,
( sk_c7 != sF7
| ~ spl9_1
| ~ spl9_4 ),
inference(superposition,[],[f197,f35]) ).
fof(f197,plain,
( sk_c7 != multiply(sk_c1,sk_c6)
| ~ spl9_1
| ~ spl9_4 ),
inference(trivial_inequality_removal,[],[f193]) ).
fof(f193,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c1,sk_c6)
| ~ spl9_1
| ~ spl9_4 ),
inference(superposition,[],[f125,f133]) ).
fof(f133,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl9_1 ),
inference(backward_demodulation,[],[f25,f53]) ).
fof(f125,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6) )
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f45,plain,
( sk_c7 = sF6
| sk_c7 = sF7 ),
inference(definition_folding,[],[f9,f35,f33]) ).
fof(f9,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.39HPeoZfaO/Vampire---4.8_3356',prove_this_6) ).
fof(f1515,plain,
( ~ spl9_1
| ~ spl9_4
| ~ spl9_7
| ~ spl9_12
| ~ spl9_15 ),
inference(avatar_contradiction_clause,[],[f1514]) ).
fof(f1514,plain,
( $false
| ~ spl9_1
| ~ spl9_4
| ~ spl9_7
| ~ spl9_12
| ~ spl9_15 ),
inference(subsumption_resolution,[],[f1513,f1321]) ).
fof(f1321,plain,
( sk_c6 = sk_c7
| ~ spl9_1
| ~ spl9_7
| ~ spl9_12
| ~ spl9_15 ),
inference(backward_demodulation,[],[f53,f932]) ).
fof(f932,plain,
( sk_c6 = sF2
| ~ spl9_1
| ~ spl9_7
| ~ spl9_12
| ~ spl9_15 ),
inference(backward_demodulation,[],[f53,f925]) ).
fof(f925,plain,
( sk_c6 = sk_c7
| ~ spl9_1
| ~ spl9_7
| ~ spl9_12
| ~ spl9_15 ),
inference(forward_demodulation,[],[f918,f637]) ).
fof(f637,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl9_1
| ~ spl9_12 ),
inference(backward_demodulation,[],[f605,f631]) ).
fof(f605,plain,
( sk_c6 = multiply(sk_c7,sF7)
| ~ spl9_1 ),
inference(forward_demodulation,[],[f603,f419]) ).
fof(f603,plain,
sk_c6 = multiply(inverse(sk_c1),sF7),
inference(superposition,[],[f83,f35]) ).
fof(f918,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl9_7
| ~ spl9_12
| ~ spl9_15 ),
inference(backward_demodulation,[],[f698,f909]) ).
fof(f698,plain,
( sk_c7 = multiply(sk_c7,sF6)
| ~ spl9_7
| ~ spl9_12 ),
inference(forward_demodulation,[],[f694,f638]) ).
fof(f638,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl9_12 ),
inference(backward_demodulation,[],[f35,f631]) ).
fof(f694,plain,
( multiply(sk_c1,sk_c6) = multiply(sk_c7,sF6)
| ~ spl9_7
| ~ spl9_12 ),
inference(superposition,[],[f640,f589]) ).
fof(f640,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c6,X0))
| ~ spl9_12 ),
inference(superposition,[],[f3,f638]) ).
fof(f1513,plain,
( sk_c6 != sk_c7
| ~ spl9_1
| ~ spl9_4
| ~ spl9_7
| ~ spl9_12
| ~ spl9_15 ),
inference(forward_demodulation,[],[f1512,f1356]) ).
fof(f1356,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl9_1
| ~ spl9_7
| ~ spl9_12
| ~ spl9_15 ),
inference(forward_demodulation,[],[f33,f946]) ).
fof(f946,plain,
( sk_c6 = sF6
| ~ spl9_1
| ~ spl9_7
| ~ spl9_12
| ~ spl9_15 ),
inference(backward_demodulation,[],[f909,f925]) ).
fof(f1512,plain,
( sk_c7 != multiply(sk_c3,sk_c6)
| ~ spl9_1
| ~ spl9_4
| ~ spl9_7
| ~ spl9_12
| ~ spl9_15 ),
inference(subsumption_resolution,[],[f1511,f1321]) ).
fof(f1511,plain,
( sk_c6 != sk_c7
| sk_c7 != multiply(sk_c3,sk_c6)
| ~ spl9_4
| ~ spl9_7 ),
inference(forward_demodulation,[],[f194,f155]) ).
fof(f194,plain,
( sk_c7 != sF3
| sk_c7 != multiply(sk_c3,sk_c6)
| ~ spl9_4 ),
inference(superposition,[],[f125,f27]) ).
fof(f1459,plain,
( ~ spl9_1
| ~ spl9_7
| ~ spl9_9
| ~ spl9_11
| ~ spl9_12
| ~ spl9_15 ),
inference(avatar_contradiction_clause,[],[f1458]) ).
fof(f1458,plain,
( $false
| ~ spl9_1
| ~ spl9_7
| ~ spl9_9
| ~ spl9_11
| ~ spl9_12
| ~ spl9_15 ),
inference(subsumption_resolution,[],[f1457,f492]) ).
fof(f492,plain,
( sk_c6 = sk_c5
| ~ spl9_11 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f1457,plain,
( sk_c6 != sk_c5
| ~ spl9_1
| ~ spl9_7
| ~ spl9_9
| ~ spl9_11
| ~ spl9_12
| ~ spl9_15 ),
inference(forward_demodulation,[],[f1456,f1356]) ).
fof(f1456,plain,
( sk_c5 != multiply(sk_c3,sk_c6)
| ~ spl9_7
| ~ spl9_9
| ~ spl9_11 ),
inference(subsumption_resolution,[],[f654,f492]) ).
fof(f654,plain,
( sk_c6 != sk_c5
| sk_c5 != multiply(sk_c3,sk_c6)
| ~ spl9_7
| ~ spl9_9 ),
inference(superposition,[],[f183,f591]) ).
fof(f591,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl9_7 ),
inference(backward_demodulation,[],[f27,f155]) ).
fof(f183,plain,
( ! [X6] :
( sk_c5 != inverse(X6)
| sk_c5 != multiply(X6,sk_c6) )
| ~ spl9_9 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f182,plain,
( spl9_9
<=> ! [X6] :
( sk_c5 != inverse(X6)
| sk_c5 != multiply(X6,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_9])]) ).
fof(f1432,plain,
( ~ spl9_1
| ~ spl9_6
| ~ spl9_7
| ~ spl9_8
| ~ spl9_11
| ~ spl9_12
| ~ spl9_15 ),
inference(avatar_contradiction_clause,[],[f1431]) ).
fof(f1431,plain,
( $false
| ~ spl9_1
| ~ spl9_6
| ~ spl9_7
| ~ spl9_8
| ~ spl9_11
| ~ spl9_12
| ~ spl9_15 ),
inference(subsumption_resolution,[],[f1164,f1356]) ).
fof(f1164,plain,
( sk_c6 != multiply(sk_c3,sk_c6)
| ~ spl9_6
| ~ spl9_7
| ~ spl9_8
| ~ spl9_11 ),
inference(forward_demodulation,[],[f1163,f372]) ).
fof(f1163,plain,
( sk_c6 != multiply(sk_c2,sk_c6)
| ~ spl9_6
| ~ spl9_8
| ~ spl9_11 ),
inference(forward_demodulation,[],[f1137,f492]) ).
fof(f1137,plain,
( sk_c6 != multiply(sk_c2,sk_c5)
| ~ spl9_6
| ~ spl9_8 ),
inference(trivial_inequality_removal,[],[f552]) ).
fof(f552,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c2,sk_c5)
| ~ spl9_6
| ~ spl9_8 ),
inference(superposition,[],[f180,f158]) ).
fof(f180,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5) )
| ~ spl9_8 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl9_8
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).
fof(f1383,plain,
( spl9_2
| spl9_6
| ~ spl9_11 ),
inference(avatar_contradiction_clause,[],[f1382]) ).
fof(f1382,plain,
( $false
| spl9_2
| spl9_6
| ~ spl9_11 ),
inference(subsumption_resolution,[],[f1381,f1380]) ).
fof(f1380,plain,
( sk_c6 = sF1
| spl9_6
| ~ spl9_11 ),
inference(forward_demodulation,[],[f1379,f492]) ).
fof(f1379,plain,
( sk_c5 = sF1
| spl9_6 ),
inference(subsumption_resolution,[],[f30,f150]) ).
fof(f150,plain,
( sk_c6 != sF4
| spl9_6 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f30,plain,
( sk_c5 = sF1
| sk_c6 = sF4 ),
inference(definition_folding,[],[f15,f29,f24]) ).
fof(f15,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.39HPeoZfaO/Vampire---4.8_3356',prove_this_12) ).
fof(f1381,plain,
( sk_c6 != sF1
| spl9_2
| ~ spl9_11 ),
inference(forward_demodulation,[],[f56,f492]) ).
fof(f1370,plain,
( ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_11
| ~ spl9_12
| spl9_13
| ~ spl9_15 ),
inference(avatar_contradiction_clause,[],[f1369]) ).
fof(f1369,plain,
( $false
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_11
| ~ spl9_12
| spl9_13
| ~ spl9_15 ),
inference(subsumption_resolution,[],[f1368,f1216]) ).
fof(f1216,plain,
( sk_c6 != sF5
| ~ spl9_11
| spl9_13 ),
inference(forward_demodulation,[],[f634,f492]) ).
fof(f634,plain,
( sk_c5 != sF5
| spl9_13 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f633,plain,
( spl9_13
<=> sk_c5 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_13])]) ).
fof(f1368,plain,
( sk_c6 = sF5
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_12
| ~ spl9_15 ),
inference(forward_demodulation,[],[f1367,f946]) ).
fof(f1367,plain,
( sF5 = sF6
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_12
| ~ spl9_15 ),
inference(forward_demodulation,[],[f1366,f1345]) ).
fof(f1345,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl9_1
| ~ spl9_7
| ~ spl9_12
| ~ spl9_15 ),
inference(forward_demodulation,[],[f702,f946]) ).
fof(f1366,plain,
( sF6 = multiply(sk_c6,sF5)
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_12
| ~ spl9_15 ),
inference(forward_demodulation,[],[f751,f1321]) ).
fof(f751,plain,
( sF6 = multiply(sk_c7,sF5)
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7 ),
inference(backward_demodulation,[],[f707,f748]) ).
fof(f748,plain,
( sk_c1 = sF5
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7 ),
inference(forward_demodulation,[],[f745,f457]) ).
fof(f457,plain,
( sF5 = multiply(inverse(sk_c5),sk_c6)
| ~ spl9_2 ),
inference(superposition,[],[f83,f434]) ).
fof(f434,plain,
( sk_c6 = multiply(sk_c5,sF5)
| ~ spl9_2 ),
inference(forward_demodulation,[],[f432,f59]) ).
fof(f432,plain,
sk_c6 = multiply(inverse(sk_c4),sF5),
inference(superposition,[],[f83,f31]) ).
fof(f745,plain,
( sk_c1 = multiply(inverse(sk_c5),sk_c6)
| ~ spl9_1
| ~ spl9_7 ),
inference(superposition,[],[f83,f725]) ).
fof(f725,plain,
( sk_c6 = multiply(sk_c5,sk_c1)
| ~ spl9_1
| ~ spl9_7 ),
inference(forward_demodulation,[],[f722,f589]) ).
fof(f722,plain,
( multiply(sk_c6,sF6) = multiply(sk_c5,sk_c1)
| ~ spl9_1
| ~ spl9_7 ),
inference(superposition,[],[f73,f707]) ).
fof(f73,plain,
! [X8] : multiply(sk_c6,multiply(sk_c7,X8)) = multiply(sk_c5,X8),
inference(superposition,[],[f3,f49]) ).
fof(f707,plain,
( sF6 = multiply(sk_c7,sk_c1)
| ~ spl9_1
| ~ spl9_7 ),
inference(backward_demodulation,[],[f448,f685]) ).
fof(f448,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl9_1 ),
inference(forward_demodulation,[],[f66,f53]) ).
fof(f66,plain,
identity = multiply(sF2,sk_c1),
inference(superposition,[],[f2,f25]) ).
fof(f1301,plain,
( spl9_14
| spl9_13 ),
inference(avatar_split_clause,[],[f645,f633,f903]) ).
fof(f645,plain,
( sk_c6 = sF8
| spl9_13 ),
inference(subsumption_resolution,[],[f46,f634]) ).
fof(f46,plain,
( sk_c5 = sF5
| sk_c6 = sF8 ),
inference(definition_folding,[],[f20,f37,f31]) ).
fof(f20,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/tmp/tmp.39HPeoZfaO/Vampire---4.8_3356',prove_this_17) ).
fof(f1277,plain,
( ~ spl9_1
| ~ spl9_6
| ~ spl9_7
| ~ spl9_9
| ~ spl9_11
| ~ spl9_12
| ~ spl9_14 ),
inference(avatar_contradiction_clause,[],[f1276]) ).
fof(f1276,plain,
( $false
| ~ spl9_1
| ~ spl9_6
| ~ spl9_7
| ~ spl9_9
| ~ spl9_11
| ~ spl9_12
| ~ spl9_14 ),
inference(subsumption_resolution,[],[f1271,f1239]) ).
fof(f1239,plain,
( sk_c6 != sk_c7
| ~ spl9_1
| ~ spl9_9
| ~ spl9_11
| ~ spl9_12 ),
inference(forward_demodulation,[],[f658,f492]) ).
fof(f658,plain,
( sk_c7 != sk_c5
| ~ spl9_1
| ~ spl9_9
| ~ spl9_12 ),
inference(duplicate_literal_removal,[],[f657]) ).
fof(f657,plain,
( sk_c7 != sk_c5
| sk_c7 != sk_c5
| ~ spl9_1
| ~ spl9_9
| ~ spl9_12 ),
inference(forward_demodulation,[],[f653,f638]) ).
fof(f653,plain,
( sk_c7 != sk_c5
| sk_c5 != multiply(sk_c1,sk_c6)
| ~ spl9_1
| ~ spl9_9 ),
inference(superposition,[],[f183,f419]) ).
fof(f1271,plain,
( sk_c6 = sk_c7
| ~ spl9_6
| ~ spl9_7
| ~ spl9_11
| ~ spl9_14 ),
inference(superposition,[],[f1102,f1267]) ).
fof(f1267,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl9_6
| ~ spl9_7
| ~ spl9_11
| ~ spl9_14 ),
inference(backward_demodulation,[],[f702,f1266]) ).
fof(f1266,plain,
( sk_c6 = sF6
| ~ spl9_6
| ~ spl9_7
| ~ spl9_11
| ~ spl9_14 ),
inference(forward_demodulation,[],[f33,f1251]) ).
fof(f1251,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl9_6
| ~ spl9_7
| ~ spl9_11
| ~ spl9_14 ),
inference(backward_demodulation,[],[f1196,f372]) ).
fof(f1196,plain,
( sk_c6 = multiply(sk_c2,sk_c6)
| ~ spl9_11
| ~ spl9_14 ),
inference(forward_demodulation,[],[f1174,f905]) ).
fof(f1174,plain,
( sF8 = multiply(sk_c2,sk_c6)
| ~ spl9_11 ),
inference(forward_demodulation,[],[f37,f492]) ).
fof(f1102,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl9_11 ),
inference(forward_demodulation,[],[f49,f492]) ).
fof(f1233,plain,
( ~ spl9_3
| ~ spl9_6
| ~ spl9_7
| ~ spl9_11
| spl9_15 ),
inference(avatar_contradiction_clause,[],[f1232]) ).
fof(f1232,plain,
( $false
| ~ spl9_3
| ~ spl9_6
| ~ spl9_7
| ~ spl9_11
| spl9_15 ),
inference(subsumption_resolution,[],[f1126,f1121]) ).
fof(f1121,plain,
( sk_c6 != sk_c7
| ~ spl9_3
| ~ spl9_6
| ~ spl9_7
| ~ spl9_11
| spl9_15 ),
inference(backward_demodulation,[],[f908,f1115]) ).
fof(f1115,plain,
( sk_c6 = sF6
| ~ spl9_3
| ~ spl9_6
| ~ spl9_7
| ~ spl9_11 ),
inference(backward_demodulation,[],[f33,f1105]) ).
fof(f1105,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl9_3
| ~ spl9_6
| ~ spl9_7
| ~ spl9_11 ),
inference(forward_demodulation,[],[f837,f492]) ).
fof(f837,plain,
( sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl9_3
| ~ spl9_6
| ~ spl9_7 ),
inference(backward_demodulation,[],[f606,f836]) ).
fof(f836,plain,
( sk_c6 = sF8
| ~ spl9_3
| ~ spl9_6
| ~ spl9_7 ),
inference(subsumption_resolution,[],[f47,f835]) ).
fof(f47,plain,
( sk_c7 = sF6
| sk_c6 = sF8 ),
inference(definition_folding,[],[f17,f37,f33]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/tmp/tmp.39HPeoZfaO/Vampire---4.8_3356',prove_this_14) ).
fof(f606,plain,
( sF8 = multiply(sk_c3,sk_c5)
| ~ spl9_6
| ~ spl9_7 ),
inference(forward_demodulation,[],[f37,f372]) ).
fof(f908,plain,
( sk_c7 != sF6
| spl9_15 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f1126,plain,
( sk_c6 = sk_c7
| ~ spl9_3
| ~ spl9_6
| ~ spl9_7
| ~ spl9_11 ),
inference(superposition,[],[f1119,f1102]) ).
fof(f1119,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl9_3
| ~ spl9_6
| ~ spl9_7
| ~ spl9_11 ),
inference(backward_demodulation,[],[f702,f1115]) ).
fof(f1206,plain,
( spl9_6
| spl9_15 ),
inference(avatar_contradiction_clause,[],[f1205]) ).
fof(f1205,plain,
( $false
| spl9_6
| spl9_15 ),
inference(subsumption_resolution,[],[f1204,f908]) ).
fof(f1204,plain,
( sk_c7 = sF6
| spl9_6 ),
inference(subsumption_resolution,[],[f41,f150]) ).
fof(f41,plain,
( sk_c6 = sF4
| sk_c7 = sF6 ),
inference(definition_folding,[],[f13,f33,f29]) ).
fof(f13,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.39HPeoZfaO/Vampire---4.8_3356',prove_this_10) ).
fof(f1169,plain,
( ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_8
| ~ spl9_11
| ~ spl9_12
| ~ spl9_13 ),
inference(avatar_contradiction_clause,[],[f1168]) ).
fof(f1168,plain,
( $false
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_8
| ~ spl9_11
| ~ spl9_12
| ~ spl9_13 ),
inference(subsumption_resolution,[],[f1167,f1104]) ).
fof(f1104,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_11
| ~ spl9_12
| ~ spl9_13 ),
inference(forward_demodulation,[],[f1103,f492]) ).
fof(f1103,plain,
( sk_c5 = multiply(sk_c7,sk_c6)
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_12
| ~ spl9_13 ),
inference(forward_demodulation,[],[f802,f868]) ).
fof(f868,plain,
( sk_c7 = sk_c4
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_12
| ~ spl9_13 ),
inference(forward_demodulation,[],[f867,f698]) ).
fof(f867,plain,
( sk_c4 = multiply(sk_c7,sF6)
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_13 ),
inference(forward_demodulation,[],[f706,f810]) ).
fof(f810,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_13 ),
inference(backward_demodulation,[],[f754,f635]) ).
fof(f635,plain,
( sk_c5 = sF5
| ~ spl9_13 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f754,plain,
( sk_c7 = inverse(sF5)
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7 ),
inference(backward_demodulation,[],[f419,f748]) ).
fof(f706,plain,
( sk_c4 = multiply(inverse(sk_c5),sF6)
| ~ spl9_2
| ~ spl9_7 ),
inference(backward_demodulation,[],[f442,f685]) ).
fof(f442,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl9_2 ),
inference(superposition,[],[f83,f68]) ).
fof(f68,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl9_2 ),
inference(superposition,[],[f2,f59]) ).
fof(f802,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| ~ spl9_13 ),
inference(backward_demodulation,[],[f31,f635]) ).
fof(f1167,plain,
( sk_c6 != multiply(sk_c7,sk_c6)
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_8
| ~ spl9_11
| ~ spl9_12
| ~ spl9_13 ),
inference(forward_demodulation,[],[f1166,f868]) ).
fof(f1166,plain,
( sk_c6 != multiply(sk_c4,sk_c6)
| ~ spl9_2
| ~ spl9_8
| ~ spl9_11 ),
inference(forward_demodulation,[],[f1165,f492]) ).
fof(f1165,plain,
( sk_c6 != multiply(sk_c4,sk_c5)
| ~ spl9_2
| ~ spl9_8
| ~ spl9_11 ),
inference(subsumption_resolution,[],[f551,f492]) ).
fof(f551,plain,
( sk_c6 != sk_c5
| sk_c6 != multiply(sk_c4,sk_c5)
| ~ spl9_2
| ~ spl9_8 ),
inference(superposition,[],[f180,f59]) ).
fof(f1089,plain,
( spl9_12
| spl9_15 ),
inference(avatar_contradiction_clause,[],[f1088]) ).
fof(f1088,plain,
( $false
| spl9_12
| spl9_15 ),
inference(subsumption_resolution,[],[f1087,f630]) ).
fof(f1087,plain,
( sk_c7 = sF7
| spl9_15 ),
inference(subsumption_resolution,[],[f45,f908]) ).
fof(f1052,plain,
( ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| spl9_12
| ~ spl9_13
| ~ spl9_15 ),
inference(avatar_contradiction_clause,[],[f1051]) ).
fof(f1051,plain,
( $false
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| spl9_12
| ~ spl9_13
| ~ spl9_15 ),
inference(subsumption_resolution,[],[f1050,f1015]) ).
fof(f1015,plain,
( sk_c6 != sk_c7
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| spl9_12
| ~ spl9_13
| ~ spl9_15 ),
inference(backward_demodulation,[],[f630,f1014]) ).
fof(f1014,plain,
( sk_c6 = sF7
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_13
| ~ spl9_15 ),
inference(forward_demodulation,[],[f1012,f919]) ).
fof(f919,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl9_7
| ~ spl9_15 ),
inference(backward_demodulation,[],[f702,f909]) ).
fof(f1012,plain,
( sF7 = multiply(sk_c7,sk_c6)
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_13
| ~ spl9_15 ),
inference(backward_demodulation,[],[f969,f991]) ).
fof(f991,plain,
( sk_c7 = sk_c5
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_13
| ~ spl9_15 ),
inference(superposition,[],[f924,f919]) ).
fof(f924,plain,
( sk_c7 = multiply(sk_c7,sk_c5)
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_13
| ~ spl9_15 ),
inference(backward_demodulation,[],[f807,f909]) ).
fof(f807,plain,
( sF6 = multiply(sk_c7,sk_c5)
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_13 ),
inference(backward_demodulation,[],[f751,f635]) ).
fof(f969,plain,
( sF7 = multiply(sk_c5,sk_c6)
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_13 ),
inference(forward_demodulation,[],[f35,f805]) ).
fof(f805,plain,
( sk_c5 = sk_c1
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_13 ),
inference(backward_demodulation,[],[f748,f635]) ).
fof(f1050,plain,
( sk_c6 = sk_c7
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_13
| ~ spl9_15 ),
inference(forward_demodulation,[],[f1046,f919]) ).
fof(f1046,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_13
| ~ spl9_15 ),
inference(backward_demodulation,[],[f914,f1039]) ).
fof(f1039,plain,
( sk_c7 = sk_c3
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_13
| ~ spl9_15 ),
inference(superposition,[],[f1021,f922]) ).
fof(f922,plain,
( sk_c7 = multiply(sk_c6,sk_c3)
| ~ spl9_7
| ~ spl9_15 ),
inference(backward_demodulation,[],[f710,f909]) ).
fof(f710,plain,
( sF6 = multiply(sk_c6,sk_c3)
| ~ spl9_7 ),
inference(backward_demodulation,[],[f590,f685]) ).
fof(f590,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl9_7 ),
inference(backward_demodulation,[],[f136,f155]) ).
fof(f1021,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_13
| ~ spl9_15 ),
inference(forward_demodulation,[],[f1020,f919]) ).
fof(f1020,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_13
| ~ spl9_15 ),
inference(superposition,[],[f3,f1001]) ).
fof(f1001,plain,
( sk_c7 = multiply(sk_c6,sk_c7)
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_13
| ~ spl9_15 ),
inference(backward_demodulation,[],[f49,f991]) ).
fof(f914,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl9_15 ),
inference(backward_demodulation,[],[f33,f909]) ).
fof(f1026,plain,
( spl9_10
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_13
| ~ spl9_15 ),
inference(avatar_split_clause,[],[f1006,f907,f633,f153,f55,f51,f487]) ).
fof(f1006,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl9_1
| ~ spl9_2
| ~ spl9_7
| ~ spl9_13
| ~ spl9_15 ),
inference(backward_demodulation,[],[f802,f991]) ).
fof(f966,plain,
( ~ spl9_1
| ~ spl9_7
| spl9_11
| ~ spl9_12
| ~ spl9_15 ),
inference(avatar_contradiction_clause,[],[f965]) ).
fof(f965,plain,
( $false
| ~ spl9_1
| ~ spl9_7
| spl9_11
| ~ spl9_12
| ~ spl9_15 ),
inference(subsumption_resolution,[],[f962,f493]) ).
fof(f962,plain,
( sk_c6 = sk_c5
| ~ spl9_1
| ~ spl9_7
| ~ spl9_12
| ~ spl9_15 ),
inference(backward_demodulation,[],[f931,f952]) ).
fof(f952,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl9_1
| ~ spl9_7
| ~ spl9_12
| ~ spl9_15 ),
inference(forward_demodulation,[],[f919,f925]) ).
fof(f931,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl9_1
| ~ spl9_7
| ~ spl9_12
| ~ spl9_15 ),
inference(backward_demodulation,[],[f49,f925]) ).
fof(f913,plain,
( ~ spl9_6
| ~ spl9_7
| ~ spl9_8
| ~ spl9_14 ),
inference(avatar_contradiction_clause,[],[f912]) ).
fof(f912,plain,
( $false
| ~ spl9_6
| ~ spl9_7
| ~ spl9_8
| ~ spl9_14 ),
inference(subsumption_resolution,[],[f911,f889]) ).
fof(f889,plain,
( sk_c6 != multiply(sk_c3,sk_c5)
| ~ spl9_6
| ~ spl9_7
| ~ spl9_8 ),
inference(forward_demodulation,[],[f553,f372]) ).
fof(f553,plain,
( sk_c6 != multiply(sk_c2,sk_c5)
| ~ spl9_6
| ~ spl9_8 ),
inference(trivial_inequality_removal,[],[f552]) ).
fof(f911,plain,
( sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl9_6
| ~ spl9_7
| ~ spl9_14 ),
inference(backward_demodulation,[],[f606,f905]) ).
fof(f910,plain,
( spl9_14
| spl9_15 ),
inference(avatar_split_clause,[],[f47,f907,f903]) ).
fof(f636,plain,
( spl9_12
| spl9_13 ),
inference(avatar_split_clause,[],[f44,f633,f629]) ).
fof(f44,plain,
( sk_c5 = sF5
| sk_c7 = sF7 ),
inference(definition_folding,[],[f12,f35,f31]) ).
fof(f12,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.39HPeoZfaO/Vampire---4.8_3356',prove_this_9) ).
fof(f587,plain,
( ~ spl9_1
| ~ spl9_5
| ~ spl9_6
| spl9_7 ),
inference(avatar_contradiction_clause,[],[f586]) ).
fof(f586,plain,
( $false
| ~ spl9_1
| ~ spl9_5
| ~ spl9_6
| spl9_7 ),
inference(subsumption_resolution,[],[f585,f532]) ).
fof(f532,plain,
( sk_c6 = multiply(sk_c1,sk_c6)
| ~ spl9_6
| spl9_7 ),
inference(backward_demodulation,[],[f420,f522]) ).
fof(f522,plain,
( sk_c6 = sk_c7
| ~ spl9_6
| spl9_7 ),
inference(backward_demodulation,[],[f425,f459]) ).
fof(f459,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c5)
| ~ spl9_6
| spl9_7 ),
inference(superposition,[],[f83,f441]) ).
fof(f441,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl9_6
| spl9_7 ),
inference(forward_demodulation,[],[f439,f158]) ).
fof(f439,plain,
( sk_c5 = multiply(inverse(sk_c2),sk_c6)
| spl9_7 ),
inference(superposition,[],[f83,f438]) ).
fof(f438,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| spl9_7 ),
inference(forward_demodulation,[],[f37,f167]) ).
fof(f167,plain,
( sk_c6 = sF8
| spl9_7 ),
inference(subsumption_resolution,[],[f43,f154]) ).
fof(f154,plain,
( sk_c6 != sF3
| spl9_7 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f43,plain,
( sk_c6 = sF3
| sk_c6 = sF8 ),
inference(definition_folding,[],[f18,f37,f27]) ).
fof(f18,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/tmp/tmp.39HPeoZfaO/Vampire---4.8_3356',prove_this_15) ).
fof(f425,plain,
sk_c7 = multiply(inverse(sk_c6),sk_c5),
inference(superposition,[],[f83,f49]) ).
fof(f420,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| spl9_7 ),
inference(backward_demodulation,[],[f35,f162]) ).
fof(f162,plain,
( sk_c7 = sF7
| spl9_7 ),
inference(subsumption_resolution,[],[f40,f154]) ).
fof(f40,plain,
( sk_c6 = sF3
| sk_c7 = sF7 ),
inference(definition_folding,[],[f10,f35,f27]) ).
fof(f10,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.39HPeoZfaO/Vampire---4.8_3356',prove_this_7) ).
fof(f585,plain,
( sk_c6 != multiply(sk_c1,sk_c6)
| ~ spl9_1
| ~ spl9_5
| ~ spl9_6
| spl9_7 ),
inference(subsumption_resolution,[],[f412,f528]) ).
fof(f528,plain,
( sk_c6 = sF2
| ~ spl9_1
| ~ spl9_6
| spl9_7 ),
inference(backward_demodulation,[],[f53,f522]) ).
fof(f412,plain,
( sk_c6 != sF2
| sk_c6 != multiply(sk_c1,sk_c6)
| ~ spl9_5 ),
inference(superposition,[],[f128,f25]) ).
fof(f128,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c6) )
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl9_5
<=> ! [X6] :
( sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
fof(f584,plain,
( spl9_5
| ~ spl9_9
| ~ spl9_11 ),
inference(avatar_split_clause,[],[f580,f491,f182,f127]) ).
fof(f580,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl9_9
| ~ spl9_11 ),
inference(forward_demodulation,[],[f579,f492]) ).
fof(f579,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c5 != multiply(X6,sk_c6) )
| ~ spl9_9
| ~ spl9_11 ),
inference(forward_demodulation,[],[f183,f492]) ).
fof(f561,plain,
( ~ spl9_1
| ~ spl9_6
| spl9_7
| spl9_11 ),
inference(avatar_contradiction_clause,[],[f560]) ).
fof(f560,plain,
( $false
| ~ spl9_1
| ~ spl9_6
| spl9_7
| spl9_11 ),
inference(subsumption_resolution,[],[f557,f493]) ).
fof(f557,plain,
( sk_c6 = sk_c5
| ~ spl9_1
| ~ spl9_6
| spl9_7 ),
inference(backward_demodulation,[],[f441,f533]) ).
fof(f533,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl9_1
| ~ spl9_6
| spl9_7 ),
inference(backward_demodulation,[],[f429,f522]) ).
fof(f429,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl9_1
| spl9_7 ),
inference(forward_demodulation,[],[f427,f419]) ).
fof(f427,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c7)
| spl9_7 ),
inference(superposition,[],[f83,f420]) ).
fof(f556,plain,
( ~ spl9_6
| spl9_7
| ~ spl9_8 ),
inference(avatar_contradiction_clause,[],[f555]) ).
fof(f555,plain,
( $false
| ~ spl9_6
| spl9_7
| ~ spl9_8 ),
inference(subsumption_resolution,[],[f553,f438]) ).
fof(f526,plain,
( ~ spl9_1
| ~ spl9_3
| ~ spl9_6
| spl9_7 ),
inference(avatar_contradiction_clause,[],[f525]) ).
fof(f525,plain,
( $false
| ~ spl9_1
| ~ spl9_3
| ~ spl9_6
| spl9_7 ),
inference(subsumption_resolution,[],[f522,f482]) ).
fof(f482,plain,
( sk_c6 != sk_c7
| ~ spl9_1
| ~ spl9_3
| spl9_7 ),
inference(subsumption_resolution,[],[f477,f420]) ).
fof(f477,plain,
( sk_c6 != sk_c7
| sk_c7 != multiply(sk_c1,sk_c6)
| ~ spl9_1
| ~ spl9_3 ),
inference(superposition,[],[f122,f419]) ).
fof(f494,plain,
( ~ spl9_10
| ~ spl9_11
| ~ spl9_2
| ~ spl9_3 ),
inference(avatar_split_clause,[],[f479,f121,f55,f491,f487]) ).
fof(f479,plain,
( sk_c6 != sk_c5
| sk_c7 != multiply(sk_c4,sk_c6)
| ~ spl9_2
| ~ spl9_3 ),
inference(superposition,[],[f122,f59]) ).
fof(f417,plain,
( spl9_7
| spl9_1 ),
inference(avatar_split_clause,[],[f60,f51,f153]) ).
fof(f415,plain,
( spl9_1
| ~ spl9_2
| ~ spl9_5
| ~ spl9_7 ),
inference(avatar_contradiction_clause,[],[f414]) ).
fof(f414,plain,
( $false
| spl9_1
| ~ spl9_2
| ~ spl9_5
| ~ spl9_7 ),
inference(subsumption_resolution,[],[f413,f346]) ).
fof(f346,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| spl9_1
| ~ spl9_2
| ~ spl9_7 ),
inference(backward_demodulation,[],[f313,f338]) ).
fof(f313,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| spl9_1 ),
inference(forward_demodulation,[],[f49,f92]) ).
fof(f413,plain,
( sk_c6 != multiply(sk_c6,sk_c6)
| spl9_1
| ~ spl9_2
| ~ spl9_5
| ~ spl9_7 ),
inference(trivial_inequality_removal,[],[f411]) ).
fof(f411,plain,
( sk_c6 != sk_c6
| sk_c6 != multiply(sk_c6,sk_c6)
| spl9_1
| ~ spl9_2
| ~ spl9_5
| ~ spl9_7 ),
inference(superposition,[],[f128,f393]) ).
fof(f393,plain,
( sk_c6 = inverse(sk_c6)
| spl9_1
| ~ spl9_2
| ~ spl9_7 ),
inference(backward_demodulation,[],[f202,f391]) ).
fof(f391,plain,
( sk_c6 = sk_c3
| spl9_1
| ~ spl9_2
| ~ spl9_7 ),
inference(forward_demodulation,[],[f390,f348]) ).
fof(f348,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c6)
| spl9_1
| ~ spl9_2
| ~ spl9_7 ),
inference(superposition,[],[f83,f346]) ).
fof(f390,plain,
( sk_c3 = multiply(inverse(sk_c6),sk_c6)
| spl9_1
| ~ spl9_2
| ~ spl9_7 ),
inference(backward_demodulation,[],[f270,f381]) ).
fof(f381,plain,
( identity = sk_c6
| spl9_1
| ~ spl9_2
| ~ spl9_7 ),
inference(superposition,[],[f348,f2]) ).
fof(f202,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl9_7 ),
inference(backward_demodulation,[],[f27,f155]) ).
fof(f379,plain,
( spl9_5
| spl9_1
| ~ spl9_2
| ~ spl9_4
| ~ spl9_7 ),
inference(avatar_split_clause,[],[f347,f153,f124,f55,f51,f127]) ).
fof(f347,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| spl9_1
| ~ spl9_2
| ~ spl9_4
| ~ spl9_7 ),
inference(forward_demodulation,[],[f345,f338]) ).
fof(f345,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6) )
| spl9_1
| ~ spl9_2
| ~ spl9_4
| ~ spl9_7 ),
inference(backward_demodulation,[],[f125,f338]) ).
fof(f199,plain,
( ~ spl9_1
| ~ spl9_4
| spl9_7 ),
inference(avatar_contradiction_clause,[],[f198]) ).
fof(f198,plain,
( $false
| ~ spl9_1
| ~ spl9_4
| spl9_7 ),
inference(subsumption_resolution,[],[f197,f164]) ).
fof(f164,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| spl9_7 ),
inference(backward_demodulation,[],[f35,f162]) ).
fof(f184,plain,
( spl9_8
| spl9_3
| spl9_9
| spl9_4 ),
inference(avatar_split_clause,[],[f173,f124,f182,f121,f179]) ).
fof(f173,plain,
! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c5 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(X4,sk_c5) ),
inference(subsumption_resolution,[],[f48,f23]) ).
fof(f48,plain,
! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c5 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != sF0 ),
inference(definition_folding,[],[f21,f22]) ).
fof(f21,axiom,
! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c5 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(X4,sk_c5)
| multiply(sk_c6,sk_c7) != sk_c5 ),
file('/export/starexec/sandbox/tmp/tmp.39HPeoZfaO/Vampire---4.8_3356',prove_this_18) ).
fof(f156,plain,
( spl9_6
| spl9_7 ),
inference(avatar_split_clause,[],[f39,f153,f149]) ).
fof(f39,plain,
( sk_c6 = sF3
| sk_c6 = sF4 ),
inference(definition_folding,[],[f14,f29,f27]) ).
fof(f14,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.39HPeoZfaO/Vampire---4.8_3356',prove_this_11) ).
fof(f129,plain,
( spl9_3
| spl9_4
| spl9_5
| spl9_5
| spl9_1 ),
inference(avatar_split_clause,[],[f114,f51,f127,f127,f124,f121]) ).
fof(f114,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X4,sk_c6)
| sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X5,sk_c6)
| sk_c7 != multiply(X3,sk_c6) )
| spl9_1 ),
inference(subsumption_resolution,[],[f113,f92]) ).
fof(f113,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != sk_c5
| sk_c6 != multiply(X4,sk_c6)
| sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X5,sk_c6)
| sk_c7 != multiply(X3,sk_c6) )
| spl9_1 ),
inference(forward_demodulation,[],[f112,f94]) ).
fof(f94,plain,
( sk_c6 = sF0
| spl9_1 ),
inference(backward_demodulation,[],[f23,f92]) ).
fof(f112,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X4,sk_c6)
| sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c5 != sF0 )
| spl9_1 ),
inference(forward_demodulation,[],[f111,f92]) ).
fof(f111,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != sF0 )
| spl9_1 ),
inference(forward_demodulation,[],[f110,f92]) ).
fof(f110,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c6 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != sF0 )
| spl9_1 ),
inference(forward_demodulation,[],[f48,f92]) ).
fof(f58,plain,
( spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f26,f55,f51]) ).
fof(f26,plain,
( sk_c5 = sF1
| sk_c7 = sF2 ),
inference(definition_folding,[],[f7,f25,f24]) ).
fof(f7,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.39HPeoZfaO/Vampire---4.8_3356',prove_this_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP344-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 19:45:43 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.39HPeoZfaO/Vampire---4.8_3356
% 0.15/0.37 % (3463)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (3464)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.21/0.43 % (3467)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.21/0.43 % (3468)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.21/0.43 % (3470)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.21/0.43 % (3465)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.21/0.43 % (3466)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.21/0.43 % (3469)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.21/0.48 % (3469)First to succeed.
% 0.21/0.48 % (3469)Refutation found. Thanks to Tanya!
% 0.21/0.48 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.48 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.49 % (3469)------------------------------
% 0.21/0.49 % (3469)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.49 % (3469)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.49 % (3469)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (3469)Memory used [KB]: 6012
% 0.21/0.49 % (3469)Time elapsed: 0.055 s
% 0.21/0.49 % (3469)------------------------------
% 0.21/0.49 % (3469)------------------------------
% 0.21/0.49 % (3463)Success in time 0.119 s
% 0.21/0.49 3464 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.39HPeoZfaO/Vampire---4.8_3356
% 0.21/0.49 % (3464)------------------------------
% 0.21/0.49 % (3464)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.49 3466 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.39HPeoZfaO/Vampire---4.8_3356
% 0.21/0.49 % (3466)------------------------------
% 0.21/0.49 % (3466)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.49 3465 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.39HPeoZfaO/Vampire---4.8_3356
% 0.21/0.49 % (3465)------------------------------
% 0.21/0.49 % (3465)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.49 % (3466)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.49 % (3464)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.49 % (3465)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.49 % (3466)Termination reason: Unknown
% 0.21/0.49 % (3464)Termination reason: Unknown
% 0.21/0.49 % (3465)Termination reason: Unknown
% 0.21/0.49 % (3466)Termination phase: Saturation
% 0.21/0.49 % (3464)Termination phase: Saturation
% 0.21/0.49 % (3465)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49
% 0.21/0.49
% 0.21/0.49 % (3465)Memory used [KB]: 1023
% 0.21/0.49 % (3466)Memory used [KB]: 1023
% 0.21/0.49 % (3464)Memory used [KB]: 5500
% 0.21/0.49 % (3465)Time elapsed: 0.061 s
% 0.21/0.49 % (3465)------------------------------
% 0.21/0.49 % (3465)------------------------------
% 0.21/0.49 % (3464)Time elapsed: 0.062 s
% 0.21/0.49 % (3464)------------------------------
% 0.21/0.49 % (3464)------------------------------
% 0.21/0.49 % (3466)Time elapsed: 0.062 s
% 0.21/0.49 % (3466)------------------------------
% 0.21/0.49 % (3466)------------------------------
% 0.21/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------