TSTP Solution File: SWC179-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC179-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 : Tue Apr 30 16:05:59 EDT 2024
% Result : Unsatisfiable 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 201
% Syntax : Number of formulae : 396 ( 139 unt; 0 def)
% Number of atoms : 814 ( 48 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 726 ( 308 ~; 306 |; 0 &)
% ( 112 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 132 ( 130 usr; 113 prp; 0-2 aty)
% Number of functors : 54 ( 54 usr; 10 con; 0-2 aty)
% Number of variables : 185 ( 185 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f792,plain,
$false,
inference(avatar_sat_refutation,[],[f244,f249,f254,f263,f268,f273,f279,f284,f286,f293,f300,f305,f310,f316,f319,f322,f327,f334,f340,f346,f349,f356,f361,f367,f373,f378,f384,f389,f395,f400,f406,f411,f417,f422,f428,f433,f438,f444,f450,f454,f458,f462,f466,f470,f474,f478,f482,f486,f490,f494,f498,f502,f506,f510,f514,f518,f522,f526,f530,f534,f538,f542,f546,f550,f554,f558,f562,f566,f570,f574,f578,f582,f586,f590,f594,f598,f602,f607,f611,f615,f619,f623,f627,f631,f635,f639,f644,f648,f652,f657,f661,f665,f670,f674,f678,f682,f686,f691,f695,f699,f703,f708,f713,f718,f724,f726,f730,f735,f740,f745,f750,f755,f760,f765,f770,f775,f783,f784,f790,f791]) ).
fof(f791,plain,
( spl0_1
| ~ spl0_7
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f347,f343,f270,f241]) ).
fof(f241,plain,
( spl0_1
<=> duplicatefreeP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f270,plain,
( spl0_7
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f343,plain,
( spl0_17
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f347,plain,
( duplicatefreeP(sk3)
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f345,f272]) ).
fof(f272,plain,
( nil = sk3
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f345,plain,
( duplicatefreeP(nil)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f790,plain,
( ~ spl0_5
| spl0_1
| ~ spl0_10
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f786,f711,f290,f241,f260]) ).
fof(f260,plain,
( spl0_5
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f290,plain,
( spl0_10
<=> sk3 = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f711,plain,
( spl0_98
<=> ! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f786,plain,
( duplicatefreeP(sk3)
| ~ ssItem(sk5)
| ~ spl0_10
| ~ spl0_98 ),
inference(superposition,[],[f712,f292]) ).
fof(f292,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f712,plain,
( ! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f784,plain,
( ~ spl0_5
| spl0_1
| ~ spl0_18
| ~ spl0_99 ),
inference(avatar_split_clause,[],[f719,f716,f358,f241,f260]) ).
fof(f358,plain,
( spl0_18
<=> sk3 = cons(sk5,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f716,plain,
( spl0_99
<=> ! [X0] :
( duplicatefreeP(cons(X0,sk4))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f719,plain,
( duplicatefreeP(sk3)
| ~ ssItem(sk5)
| ~ spl0_18
| ~ spl0_99 ),
inference(superposition,[],[f717,f360]) ).
fof(f360,plain,
( sk3 = cons(sk5,sk4)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f717,plain,
( ! [X0] :
( duplicatefreeP(cons(X0,sk4))
| ~ ssItem(X0) )
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f783,plain,
( spl0_111
| spl0_112 ),
inference(avatar_split_clause,[],[f72,f781,f778]) ).
fof(f778,plain,
( spl0_111
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f781,plain,
( spl0_112
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f775,plain,
( spl0_110
| ~ spl0_4
| ~ spl0_109 ),
inference(avatar_split_clause,[],[f771,f768,f256,f773]) ).
fof(f773,plain,
( spl0_110
<=> ! [X0] :
( cyclefreeP(cons(X0,sk4))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f256,plain,
( spl0_4
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f768,plain,
( spl0_109
<=> ! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f771,plain,
( ! [X0] :
( cyclefreeP(cons(X0,sk4))
| ~ ssItem(X0) )
| ~ spl0_4
| ~ spl0_109 ),
inference(forward_demodulation,[],[f769,f258]) ).
fof(f258,plain,
( nil = sk4
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f769,plain,
( ! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f770,plain,
spl0_109,
inference(avatar_split_clause,[],[f70,f768]) ).
fof(f70,axiom,
! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f765,plain,
( spl0_108
| ~ spl0_4
| ~ spl0_107 ),
inference(avatar_split_clause,[],[f761,f758,f256,f763]) ).
fof(f763,plain,
( spl0_108
<=> ! [X0] :
( totalorderP(cons(X0,sk4))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f758,plain,
( spl0_107
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f761,plain,
( ! [X0] :
( totalorderP(cons(X0,sk4))
| ~ ssItem(X0) )
| ~ spl0_4
| ~ spl0_107 ),
inference(forward_demodulation,[],[f759,f258]) ).
fof(f759,plain,
( ! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) )
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f760,plain,
spl0_107,
inference(avatar_split_clause,[],[f69,f758]) ).
fof(f69,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f755,plain,
( spl0_106
| ~ spl0_4
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f751,f748,f256,f753]) ).
fof(f753,plain,
( spl0_106
<=> ! [X0] :
( strictorderP(cons(X0,sk4))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f748,plain,
( spl0_105
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f751,plain,
( ! [X0] :
( strictorderP(cons(X0,sk4))
| ~ ssItem(X0) )
| ~ spl0_4
| ~ spl0_105 ),
inference(forward_demodulation,[],[f749,f258]) ).
fof(f749,plain,
( ! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f750,plain,
spl0_105,
inference(avatar_split_clause,[],[f68,f748]) ).
fof(f68,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f745,plain,
( spl0_104
| ~ spl0_4
| ~ spl0_103 ),
inference(avatar_split_clause,[],[f741,f738,f256,f743]) ).
fof(f743,plain,
( spl0_104
<=> ! [X0] :
( totalorderedP(cons(X0,sk4))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f738,plain,
( spl0_103
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f741,plain,
( ! [X0] :
( totalorderedP(cons(X0,sk4))
| ~ ssItem(X0) )
| ~ spl0_4
| ~ spl0_103 ),
inference(forward_demodulation,[],[f739,f258]) ).
fof(f739,plain,
( ! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f740,plain,
spl0_103,
inference(avatar_split_clause,[],[f67,f738]) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f735,plain,
( spl0_102
| ~ spl0_4
| ~ spl0_101 ),
inference(avatar_split_clause,[],[f731,f728,f256,f733]) ).
fof(f733,plain,
( spl0_102
<=> ! [X0] :
( strictorderedP(cons(X0,sk4))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f728,plain,
( spl0_101
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f731,plain,
( ! [X0] :
( strictorderedP(cons(X0,sk4))
| ~ ssItem(X0) )
| ~ spl0_4
| ~ spl0_101 ),
inference(forward_demodulation,[],[f729,f258]) ).
fof(f729,plain,
( ! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f730,plain,
spl0_101,
inference(avatar_split_clause,[],[f66,f728]) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f726,plain,
( spl0_5
| spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f725,f256,f276,f260]) ).
fof(f276,plain,
( spl0_8
<=> sk3 = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f725,plain,
( sk3 = sk4
| ssItem(sk5)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f194,f258]) ).
fof(f194,axiom,
( ssItem(sk5)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f724,plain,
( ~ spl0_5
| spl0_100
| ~ spl0_18
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f709,f706,f358,f721,f260]) ).
fof(f721,plain,
( spl0_100
<=> equalelemsP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f706,plain,
( spl0_97
<=> ! [X0] :
( equalelemsP(cons(X0,sk4))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f709,plain,
( equalelemsP(sk3)
| ~ ssItem(sk5)
| ~ spl0_18
| ~ spl0_97 ),
inference(superposition,[],[f707,f360]) ).
fof(f707,plain,
( ! [X0] :
( equalelemsP(cons(X0,sk4))
| ~ ssItem(X0) )
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f718,plain,
( spl0_99
| ~ spl0_4
| ~ spl0_98 ),
inference(avatar_split_clause,[],[f714,f711,f256,f716]) ).
fof(f714,plain,
( ! [X0] :
( duplicatefreeP(cons(X0,sk4))
| ~ ssItem(X0) )
| ~ spl0_4
| ~ spl0_98 ),
inference(forward_demodulation,[],[f712,f258]) ).
fof(f713,plain,
spl0_98,
inference(avatar_split_clause,[],[f65,f711]) ).
fof(f65,axiom,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f708,plain,
( spl0_97
| ~ spl0_4
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f704,f701,f256,f706]) ).
fof(f701,plain,
( spl0_96
<=> ! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f704,plain,
( ! [X0] :
( equalelemsP(cons(X0,sk4))
| ~ ssItem(X0) )
| ~ spl0_4
| ~ spl0_96 ),
inference(forward_demodulation,[],[f702,f258]) ).
fof(f702,plain,
( ! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f703,plain,
spl0_96,
inference(avatar_split_clause,[],[f64,f701]) ).
fof(f64,axiom,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f699,plain,
spl0_95,
inference(avatar_split_clause,[],[f239,f697]) ).
fof(f697,plain,
( spl0_95
<=> ! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f239,plain,
! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f213]) ).
fof(f213,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f117]) ).
fof(f117,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f695,plain,
spl0_94,
inference(avatar_split_clause,[],[f237,f693]) ).
fof(f693,plain,
( spl0_94
<=> ! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f237,plain,
! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f218]) ).
fof(f218,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f691,plain,
( spl0_93
| ~ spl0_4
| ~ spl0_92 ),
inference(avatar_split_clause,[],[f687,f684,f256,f689]) ).
fof(f689,plain,
( spl0_93
<=> ! [X0] :
( ~ memberP(sk4,X0)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f684,plain,
( spl0_92
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f687,plain,
( ! [X0] :
( ~ memberP(sk4,X0)
| ~ ssItem(X0) )
| ~ spl0_4
| ~ spl0_92 ),
inference(forward_demodulation,[],[f685,f258]) ).
fof(f685,plain,
( ! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) )
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f686,plain,
spl0_92,
inference(avatar_split_clause,[],[f71,f684]) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f682,plain,
spl0_91,
inference(avatar_split_clause,[],[f63,f680]) ).
fof(f680,plain,
( spl0_91
<=> ! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f63,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f678,plain,
spl0_90,
inference(avatar_split_clause,[],[f62,f676]) ).
fof(f676,plain,
( spl0_90
<=> ! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f62,axiom,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f674,plain,
spl0_89,
inference(avatar_split_clause,[],[f61,f672]) ).
fof(f672,plain,
( spl0_89
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f61,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f670,plain,
( spl0_88
| ~ spl0_4
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f666,f663,f256,f668]) ).
fof(f668,plain,
( spl0_88
<=> ! [X0] :
( frontsegP(X0,sk4)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f663,plain,
( spl0_87
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f666,plain,
( ! [X0] :
( frontsegP(X0,sk4)
| ~ ssList(X0) )
| ~ spl0_4
| ~ spl0_87 ),
inference(forward_demodulation,[],[f664,f258]) ).
fof(f664,plain,
( ! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f665,plain,
spl0_87,
inference(avatar_split_clause,[],[f60,f663]) ).
fof(f60,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f661,plain,
spl0_86,
inference(avatar_split_clause,[],[f59,f659]) ).
fof(f659,plain,
( spl0_86
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f59,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f657,plain,
( spl0_85
| ~ spl0_4
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f653,f650,f256,f655]) ).
fof(f655,plain,
( spl0_85
<=> ! [X0] :
( rearsegP(X0,sk4)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f650,plain,
( spl0_84
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f653,plain,
( ! [X0] :
( rearsegP(X0,sk4)
| ~ ssList(X0) )
| ~ spl0_4
| ~ spl0_84 ),
inference(forward_demodulation,[],[f651,f258]) ).
fof(f651,plain,
( ! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) )
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f652,plain,
spl0_84,
inference(avatar_split_clause,[],[f58,f650]) ).
fof(f58,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f648,plain,
spl0_83,
inference(avatar_split_clause,[],[f57,f646]) ).
fof(f646,plain,
( spl0_83
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f57,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f644,plain,
( spl0_82
| ~ spl0_4
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f640,f637,f256,f642]) ).
fof(f642,plain,
( spl0_82
<=> ! [X0] :
( segmentP(X0,sk4)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f637,plain,
( spl0_81
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f640,plain,
( ! [X0] :
( segmentP(X0,sk4)
| ~ ssList(X0) )
| ~ spl0_4
| ~ spl0_81 ),
inference(forward_demodulation,[],[f638,f258]) ).
fof(f638,plain,
( ! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) )
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f639,plain,
spl0_81,
inference(avatar_split_clause,[],[f56,f637]) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f635,plain,
spl0_80,
inference(avatar_split_clause,[],[f55,f633]) ).
fof(f633,plain,
( spl0_80
<=> ! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f55,axiom,
! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f631,plain,
spl0_79,
inference(avatar_split_clause,[],[f53,f629]) ).
fof(f629,plain,
( spl0_79
<=> ! [X0,X1] : ssList(skaf42(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f627,plain,
spl0_78,
inference(avatar_split_clause,[],[f52,f625]) ).
fof(f625,plain,
( spl0_78
<=> ! [X0,X1] : ssList(skaf43(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f623,plain,
spl0_77,
inference(avatar_split_clause,[],[f51,f621]) ).
fof(f621,plain,
( spl0_77
<=> ! [X0,X1] : ssList(skaf45(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f619,plain,
spl0_76,
inference(avatar_split_clause,[],[f50,f617]) ).
fof(f617,plain,
( spl0_76
<=> ! [X0,X1] : ssList(skaf46(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f615,plain,
spl0_75,
inference(avatar_split_clause,[],[f49,f613]) ).
fof(f613,plain,
( spl0_75
<=> ! [X0,X1] : ssList(skaf47(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f611,plain,
spl0_74,
inference(avatar_split_clause,[],[f48,f609]) ).
fof(f609,plain,
( spl0_74
<=> ! [X0,X1] : ssList(skaf48(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f607,plain,
~ spl0_73,
inference(avatar_split_clause,[],[f54,f604]) ).
fof(f604,plain,
( spl0_73
<=> skac3 = skac2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f602,plain,
spl0_72,
inference(avatar_split_clause,[],[f47,f600]) ).
fof(f600,plain,
( spl0_72
<=> ! [X0] : ssItem(skaf44(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f598,plain,
spl0_71,
inference(avatar_split_clause,[],[f46,f596]) ).
fof(f596,plain,
( spl0_71
<=> ! [X0] : ssItem(skaf49(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f594,plain,
spl0_70,
inference(avatar_split_clause,[],[f45,f592]) ).
fof(f592,plain,
( spl0_70
<=> ! [X0] : ssItem(skaf50(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f590,plain,
spl0_69,
inference(avatar_split_clause,[],[f44,f588]) ).
fof(f588,plain,
( spl0_69
<=> ! [X0] : ssList(skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f586,plain,
spl0_68,
inference(avatar_split_clause,[],[f43,f584]) ).
fof(f584,plain,
( spl0_68
<=> ! [X0] : ssList(skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f582,plain,
spl0_67,
inference(avatar_split_clause,[],[f42,f580]) ).
fof(f580,plain,
( spl0_67
<=> ! [X0] : ssList(skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f578,plain,
spl0_66,
inference(avatar_split_clause,[],[f41,f576]) ).
fof(f576,plain,
( spl0_66
<=> ! [X0] : ssItem(skaf54(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f574,plain,
spl0_65,
inference(avatar_split_clause,[],[f40,f572]) ).
fof(f572,plain,
( spl0_65
<=> ! [X0] : ssItem(skaf55(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f570,plain,
spl0_64,
inference(avatar_split_clause,[],[f39,f568]) ).
fof(f568,plain,
( spl0_64
<=> ! [X0] : ssList(skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f566,plain,
spl0_63,
inference(avatar_split_clause,[],[f38,f564]) ).
fof(f564,plain,
( spl0_63
<=> ! [X0] : ssList(skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f562,plain,
spl0_62,
inference(avatar_split_clause,[],[f37,f560]) ).
fof(f560,plain,
( spl0_62
<=> ! [X0] : ssList(skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f558,plain,
spl0_61,
inference(avatar_split_clause,[],[f36,f556]) ).
fof(f556,plain,
( spl0_61
<=> ! [X0] : ssItem(skaf59(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f554,plain,
spl0_60,
inference(avatar_split_clause,[],[f35,f552]) ).
fof(f552,plain,
( spl0_60
<=> ! [X0] : ssItem(skaf60(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f550,plain,
spl0_59,
inference(avatar_split_clause,[],[f34,f548]) ).
fof(f548,plain,
( spl0_59
<=> ! [X0] : ssList(skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f546,plain,
spl0_58,
inference(avatar_split_clause,[],[f33,f544]) ).
fof(f544,plain,
( spl0_58
<=> ! [X0] : ssList(skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f542,plain,
spl0_57,
inference(avatar_split_clause,[],[f32,f540]) ).
fof(f540,plain,
( spl0_57
<=> ! [X0] : ssList(skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(f538,plain,
spl0_56,
inference(avatar_split_clause,[],[f31,f536]) ).
fof(f536,plain,
( spl0_56
<=> ! [X0] : ssItem(skaf64(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f534,plain,
spl0_55,
inference(avatar_split_clause,[],[f30,f532]) ).
fof(f532,plain,
( spl0_55
<=> ! [X0] : ssItem(skaf65(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f530,plain,
spl0_54,
inference(avatar_split_clause,[],[f29,f528]) ).
fof(f528,plain,
( spl0_54
<=> ! [X0] : ssList(skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f526,plain,
spl0_53,
inference(avatar_split_clause,[],[f28,f524]) ).
fof(f524,plain,
( spl0_53
<=> ! [X0] : ssList(skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
fof(f522,plain,
spl0_52,
inference(avatar_split_clause,[],[f27,f520]) ).
fof(f520,plain,
( spl0_52
<=> ! [X0] : ssList(skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f518,plain,
spl0_51,
inference(avatar_split_clause,[],[f26,f516]) ).
fof(f516,plain,
( spl0_51
<=> ! [X0] : ssItem(skaf69(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f514,plain,
spl0_50,
inference(avatar_split_clause,[],[f25,f512]) ).
fof(f512,plain,
( spl0_50
<=> ! [X0] : ssItem(skaf70(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
fof(f510,plain,
spl0_49,
inference(avatar_split_clause,[],[f24,f508]) ).
fof(f508,plain,
( spl0_49
<=> ! [X0] : ssList(skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
fof(f506,plain,
spl0_48,
inference(avatar_split_clause,[],[f23,f504]) ).
fof(f504,plain,
( spl0_48
<=> ! [X0] : ssList(skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
fof(f502,plain,
spl0_47,
inference(avatar_split_clause,[],[f22,f500]) ).
fof(f500,plain,
( spl0_47
<=> ! [X0] : ssList(skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
fof(f498,plain,
spl0_46,
inference(avatar_split_clause,[],[f21,f496]) ).
fof(f496,plain,
( spl0_46
<=> ! [X0] : ssItem(skaf74(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
fof(f494,plain,
spl0_45,
inference(avatar_split_clause,[],[f20,f492]) ).
fof(f492,plain,
( spl0_45
<=> ! [X0] : ssList(skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
fof(f490,plain,
spl0_44,
inference(avatar_split_clause,[],[f19,f488]) ).
fof(f488,plain,
( spl0_44
<=> ! [X0] : ssList(skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
fof(f486,plain,
spl0_43,
inference(avatar_split_clause,[],[f18,f484]) ).
fof(f484,plain,
( spl0_43
<=> ! [X0] : ssList(skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
fof(f482,plain,
spl0_42,
inference(avatar_split_clause,[],[f17,f480]) ).
fof(f480,plain,
( spl0_42
<=> ! [X0] : ssItem(skaf78(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
fof(f478,plain,
spl0_41,
inference(avatar_split_clause,[],[f16,f476]) ).
fof(f476,plain,
( spl0_41
<=> ! [X0] : ssItem(skaf79(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
fof(f474,plain,
spl0_40,
inference(avatar_split_clause,[],[f15,f472]) ).
fof(f472,plain,
( spl0_40
<=> ! [X0] : ssList(skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
fof(f470,plain,
spl0_39,
inference(avatar_split_clause,[],[f14,f468]) ).
fof(f468,plain,
( spl0_39
<=> ! [X0] : ssList(skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
fof(f466,plain,
spl0_38,
inference(avatar_split_clause,[],[f13,f464]) ).
fof(f464,plain,
( spl0_38
<=> ! [X0] : ssList(skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f462,plain,
spl0_37,
inference(avatar_split_clause,[],[f12,f460]) ).
fof(f460,plain,
( spl0_37
<=> ! [X0] : ssItem(skaf83(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
fof(f458,plain,
( spl0_36
| spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f353,f256,f276,f456]) ).
fof(f456,plain,
( spl0_36
<=> ! [X6] :
( ~ ssItem(X6)
| ~ lt(X6,sk5)
| ~ memberP(sk7,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f353,plain,
( ! [X6] :
( sk3 = sk4
| ~ ssItem(X6)
| ~ memberP(sk7,X6)
| ~ lt(X6,sk5) )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f206,f258]) ).
fof(f206,axiom,
! [X6] :
( ~ ssItem(X6)
| ~ memberP(sk7,X6)
| ~ lt(X6,sk5)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).
fof(f454,plain,
( spl0_35
| spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f352,f256,f276,f452]) ).
fof(f452,plain,
( spl0_35
<=> ! [X6] :
( ~ ssItem(X6)
| ~ lt(sk5,X6)
| ~ memberP(sk6,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f352,plain,
( ! [X6] :
( sk3 = sk4
| ~ ssItem(X6)
| ~ memberP(sk6,X6)
| ~ lt(sk5,X6) )
| ~ spl0_4 ),
inference(forward_demodulation,[],[f205,f258]) ).
fof(f205,axiom,
! [X6] :
( ~ ssItem(X6)
| ~ memberP(sk6,X6)
| ~ lt(sk5,X6)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).
fof(f450,plain,
( spl0_34
| spl0_8
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f351,f256,f276,f447]) ).
fof(f447,plain,
( spl0_34
<=> sk4 = app(app(sk6,sk3),sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f351,plain,
( sk3 = sk4
| sk4 = app(app(sk6,sk3),sk7)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f204,f258]) ).
fof(f204,axiom,
( nil = sk3
| sk4 = app(app(sk6,sk3),sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
fof(f444,plain,
( ~ spl0_33
| ~ spl0_4
| spl0_32 ),
inference(avatar_split_clause,[],[f439,f435,f256,f441]) ).
fof(f441,plain,
( spl0_33
<=> singletonP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f435,plain,
( spl0_32
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f439,plain,
( ~ singletonP(sk4)
| ~ spl0_4
| spl0_32 ),
inference(forward_demodulation,[],[f437,f258]) ).
fof(f437,plain,
( ~ singletonP(nil)
| spl0_32 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f438,plain,
~ spl0_32,
inference(avatar_split_clause,[],[f11,f435]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f433,plain,
spl0_31,
inference(avatar_split_clause,[],[f10,f430]) ).
fof(f430,plain,
( spl0_31
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
fof(f428,plain,
spl0_30,
inference(avatar_split_clause,[],[f9,f425]) ).
fof(f425,plain,
( spl0_30
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f422,plain,
spl0_29,
inference(avatar_split_clause,[],[f8,f419]) ).
fof(f419,plain,
( spl0_29
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f417,plain,
( spl0_28
| ~ spl0_4
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f412,f408,f256,f414]) ).
fof(f414,plain,
( spl0_28
<=> cyclefreeP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f408,plain,
( spl0_27
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f412,plain,
( cyclefreeP(sk4)
| ~ spl0_4
| ~ spl0_27 ),
inference(forward_demodulation,[],[f410,f258]) ).
fof(f410,plain,
( cyclefreeP(nil)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f411,plain,
spl0_27,
inference(avatar_split_clause,[],[f7,f408]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f406,plain,
( spl0_26
| ~ spl0_4
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f401,f397,f256,f403]) ).
fof(f403,plain,
( spl0_26
<=> totalorderP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f397,plain,
( spl0_25
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f401,plain,
( totalorderP(sk4)
| ~ spl0_4
| ~ spl0_25 ),
inference(forward_demodulation,[],[f399,f258]) ).
fof(f399,plain,
( totalorderP(nil)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f400,plain,
spl0_25,
inference(avatar_split_clause,[],[f6,f397]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f395,plain,
( spl0_24
| ~ spl0_4
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f390,f386,f256,f392]) ).
fof(f392,plain,
( spl0_24
<=> strictorderP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f386,plain,
( spl0_23
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f390,plain,
( strictorderP(sk4)
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f388,f258]) ).
fof(f388,plain,
( strictorderP(nil)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f389,plain,
spl0_23,
inference(avatar_split_clause,[],[f5,f386]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f384,plain,
( spl0_22
| ~ spl0_4
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f379,f375,f256,f381]) ).
fof(f381,plain,
( spl0_22
<=> totalorderedP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f375,plain,
( spl0_21
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f379,plain,
( totalorderedP(sk4)
| ~ spl0_4
| ~ spl0_21 ),
inference(forward_demodulation,[],[f377,f258]) ).
fof(f377,plain,
( totalorderedP(nil)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f378,plain,
spl0_21,
inference(avatar_split_clause,[],[f4,f375]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f373,plain,
( spl0_20
| ~ spl0_4
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f368,f364,f256,f370]) ).
fof(f370,plain,
( spl0_20
<=> strictorderedP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f364,plain,
( spl0_19
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f368,plain,
( strictorderedP(sk4)
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[],[f366,f258]) ).
fof(f366,plain,
( strictorderedP(nil)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f367,plain,
spl0_19,
inference(avatar_split_clause,[],[f3,f364]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f361,plain,
( spl0_18
| ~ spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f354,f290,f256,f358]) ).
fof(f354,plain,
( sk3 = cons(sk5,sk4)
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f292,f258]) ).
fof(f356,plain,
( spl0_12
| ~ spl0_4
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f350,f343,f256,f302]) ).
fof(f302,plain,
( spl0_12
<=> duplicatefreeP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f350,plain,
( duplicatefreeP(sk4)
| ~ spl0_4
| ~ spl0_17 ),
inference(forward_demodulation,[],[f345,f258]) ).
fof(f349,plain,
( spl0_12
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f348,f343,f276,f270,f302]) ).
fof(f348,plain,
( duplicatefreeP(sk4)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f347,f277]) ).
fof(f277,plain,
( sk3 = sk4
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f346,plain,
spl0_17,
inference(avatar_split_clause,[],[f2,f343]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f340,plain,
( ~ spl0_16
| ~ spl0_7
| ~ spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f323,f290,f276,f270,f337]) ).
fof(f337,plain,
( spl0_16
<=> sk4 = cons(sk5,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f323,plain,
( sk4 != cons(sk5,sk3)
| ~ spl0_7
| ~ spl0_8
| spl0_10 ),
inference(forward_demodulation,[],[f317,f272]) ).
fof(f317,plain,
( sk4 != cons(sk5,nil)
| ~ spl0_8
| spl0_10 ),
inference(forward_demodulation,[],[f291,f277]) ).
fof(f291,plain,
( sk3 != cons(sk5,nil)
| spl0_10 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f334,plain,
( ~ spl0_15
| ~ spl0_7
| spl0_10 ),
inference(avatar_split_clause,[],[f320,f290,f270,f331]) ).
fof(f331,plain,
( spl0_15
<=> sk3 = cons(sk5,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f320,plain,
( sk3 != cons(sk5,sk3)
| ~ spl0_7
| spl0_10 ),
inference(forward_demodulation,[],[f291,f272]) ).
fof(f327,plain,
( spl0_4
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f318,f276,f270,f256]) ).
fof(f318,plain,
( nil = sk4
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f272,f277]) ).
fof(f322,plain,
( spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f196,f281,f256]) ).
fof(f281,plain,
( spl0_9
<=> ssList(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f196,axiom,
( ssList(sk7)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f319,plain,
( spl0_4
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f318,f276,f270,f256]) ).
fof(f316,plain,
( spl0_14
| ~ spl0_4
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f311,f307,f256,f313]) ).
fof(f313,plain,
( spl0_14
<=> equalelemsP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f307,plain,
( spl0_13
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f311,plain,
( equalelemsP(sk4)
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f309,f258]) ).
fof(f309,plain,
( equalelemsP(nil)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f310,plain,
spl0_13,
inference(avatar_split_clause,[],[f1,f307]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f305,plain,
( ~ spl0_12
| spl0_1
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f288,f276,f241,f302]) ).
fof(f288,plain,
( ~ duplicatefreeP(sk4)
| spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f243,f277]) ).
fof(f243,plain,
( ~ duplicatefreeP(sk3)
| spl0_1 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f300,plain,
( ~ spl0_11
| ~ spl0_4
| ~ spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f295,f290,f276,f256,f297]) ).
fof(f297,plain,
( spl0_11
<=> sk4 = cons(sk5,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f295,plain,
( sk4 != cons(sk5,sk4)
| ~ spl0_4
| ~ spl0_8
| spl0_10 ),
inference(forward_demodulation,[],[f294,f277]) ).
fof(f294,plain,
( sk3 != cons(sk5,sk4)
| ~ spl0_4
| spl0_10 ),
inference(forward_demodulation,[],[f291,f258]) ).
fof(f293,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f203,f270,f290]) ).
fof(f203,axiom,
( nil = sk3
| sk3 = cons(sk5,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f286,plain,
( spl0_8
| ~ spl0_4
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f285,f270,f256,f276]) ).
fof(f285,plain,
( sk3 = sk4
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f272,f258]) ).
fof(f284,plain,
( spl0_7
| spl0_9 ),
inference(avatar_split_clause,[],[f202,f281,f270]) ).
fof(f202,axiom,
( ssList(sk7)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f279,plain,
( ~ spl0_8
| ~ spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f274,f270,f256,f276]) ).
fof(f274,plain,
( sk3 != sk4
| ~ spl0_4
| spl0_7 ),
inference(forward_demodulation,[],[f271,f258]) ).
fof(f271,plain,
( nil != sk3
| spl0_7 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f273,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f201,f265,f270]) ).
fof(f265,plain,
( spl0_6
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f201,axiom,
( ssList(sk6)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f268,plain,
( spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f195,f265,f256]) ).
fof(f195,axiom,
( ssList(sk6)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f263,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f193,f260,f256]) ).
fof(f193,axiom,
( ssItem(sk5)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f254,plain,
spl0_3,
inference(avatar_split_clause,[],[f209,f251]) ).
fof(f251,plain,
( spl0_3
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f209,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f249,plain,
spl0_2,
inference(avatar_split_clause,[],[f208,f246]) ).
fof(f246,plain,
( spl0_2
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f208,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f244,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f207,f241]) ).
fof(f207,plain,
~ duplicatefreeP(sk3),
inference(definition_unfolding,[],[f192,f191]) ).
fof(f192,axiom,
~ duplicatefreeP(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC179-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 04:04:33 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (13191)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (13196)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.38 % (13194)WARNING: value z3 for option sas not known
% 0.22/0.39 % (13192)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.39 % (13195)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39 % (13193)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (13194)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.39 % (13197)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.39 % (13198)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.39 % (13196)First to succeed.
% 0.22/0.39 % (13196)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39 % (13196)------------------------------
% 0.22/0.39 % (13196)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.39 % (13196)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (13196)Memory used [KB]: 1205
% 0.22/0.39 % (13196)Time elapsed: 0.010 s
% 0.22/0.39 % (13196)Instructions burned: 25 (million)
% 0.22/0.39 % (13196)------------------------------
% 0.22/0.39 % (13196)------------------------------
% 0.22/0.39 % (13191)Success in time 0.024 s
%------------------------------------------------------------------------------