TSTP Solution File: SWC352-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC352-1 : 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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 10:25:09 EDT 2024
% Result : Unsatisfiable 0.22s 0.41s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 116
% Syntax : Number of formulae : 143 ( 70 unt; 0 def)
% Number of atoms : 248 ( 35 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 204 ( 99 ~; 101 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 5 prp; 0-2 aty)
% Number of functors : 53 ( 53 usr; 7 con; 0-2 aty)
% Number of variables : 107 ( 107 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f518,plain,
$false,
inference(avatar_sat_refutation,[],[f249,f257,f497,f517]) ).
fof(f517,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f516,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f515,f228]) ).
fof(f228,plain,
frontsegP(nil,nil),
inference(global_subsumption,[],[f186,f187,f188,f189,f192,f191,f190,f193,f194,f195,f11,f2,f1,f5,f6,f7,f3,f4,f9,f10,f8,f54,f12,f47,f26,f17,f25,f30,f31,f21,f16,f35,f46,f45,f36,f40,f41,f19,f15,f14,f13,f20,f18,f22,f23,f24,f27,f28,f42,f39,f38,f37,f34,f33,f32,f29,f43,f44,f48,f49,f50,f51,f52,f53,f71,f63,f55,f62,f65,f64,f69,f68,f70,f67,f66,f56,f59,f58,f57,f61,f60,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f88,f87,f165,f166,f167,f90,f91,f163,f164,f196,f226,f197,f227,f198]) ).
fof(f198,plain,
( ~ ssList(nil)
| frontsegP(nil,nil) ),
inference(equality_resolution,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| frontsegP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f227,plain,
rearsegP(nil,nil),
inference(global_subsumption,[],[f186,f187,f188,f189,f192,f191,f190,f193,f194,f195,f11,f2,f1,f5,f6,f7,f3,f4,f9,f10,f8,f54,f12,f47,f26,f17,f25,f30,f31,f21,f16,f35,f46,f45,f36,f40,f41,f19,f15,f14,f13,f20,f18,f22,f23,f24,f27,f28,f42,f39,f38,f37,f34,f33,f32,f29,f43,f44,f48,f49,f50,f51,f52,f53,f71,f63,f55,f62,f65,f64,f69,f68,f70,f67,f66,f56,f59,f58,f57,f61,f60,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f88,f87,f165,f166,f167,f90,f91,f163,f164,f196,f226,f197]) ).
fof(f197,plain,
( ~ ssList(nil)
| rearsegP(nil,nil) ),
inference(equality_resolution,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| rearsegP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f226,plain,
segmentP(nil,nil),
inference(global_subsumption,[],[f186,f187,f188,f189,f192,f191,f190,f193,f194,f195,f11,f2,f1,f5,f6,f7,f3,f4,f9,f10,f8,f54,f12,f47,f26,f17,f25,f30,f31,f21,f16,f35,f46,f45,f36,f40,f41,f19,f15,f14,f13,f20,f18,f22,f23,f24,f27,f28,f42,f39,f38,f37,f34,f33,f32,f29,f43,f44,f48,f49,f50,f51,f52,f53,f71,f63,f55,f62,f65,f64,f69,f68,f70,f67,f66,f56,f59,f58,f57,f61,f60,f73,f74,f101,f86,f98,f99,f96,f97,f120,f85,f72,f89,f142,f162,f93,f92,f95,f94,f88,f87,f165,f166,f167,f90,f91,f163,f164,f196]) ).
fof(f196,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ~ ssList(X0)
| nil != X0
| segmentP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f164,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f163,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
fof(f91,axiom,
! [X0] :
( ~ leq(skaf64(X0),skaf65(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f90,axiom,
! [X0] :
( ~ lt(skaf69(X0),skaf70(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f167,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
fof(f166,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f165,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
fof(f87,axiom,
! [X0] :
( leq(skaf50(X0),skaf49(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f88,axiom,
! [X0] :
( leq(skaf49(X0),skaf50(X0))
| cyclefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f94,axiom,
! [X0] :
( ~ leq(skaf55(X0),skaf54(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f95,axiom,
! [X0] :
( ~ leq(skaf54(X0),skaf55(X0))
| totalorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f92,axiom,
! [X0] :
( ~ lt(skaf60(X0),skaf59(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f93,axiom,
! [X0] :
( ~ lt(skaf59(X0),skaf60(X0))
| strictorderP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f162,axiom,
! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
fof(f142,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f89,axiom,
! [X0] :
( skaf79(X0) != skaf78(X0)
| equalelemsP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f120,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f99,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f98,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil != cons(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f60,axiom,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f61,axiom,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f58,axiom,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f59,axiom,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f66,axiom,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f67,axiom,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f70,axiom,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f68,axiom,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f69,axiom,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f64,axiom,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f65,axiom,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f62,axiom,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f55,axiom,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f63,axiom,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f195,axiom,
( ~ neq(sk4,nil)
| frontsegP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f194,axiom,
( ~ neq(sk4,nil)
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f193,axiom,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f192,axiom,
~ frontsegP(sk2,sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f515,plain,
( ~ frontsegP(nil,nil)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f509,f248]) ).
fof(f248,plain,
( nil = sk1
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f246,plain,
( spl0_2
<=> nil = sk1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f509,plain,
~ frontsegP(nil,sk1),
inference(superposition,[],[f192,f498]) ).
fof(f498,plain,
nil = sk2,
inference(subsumption_resolution,[],[f494,f187]) ).
fof(f494,plain,
( nil = sk2
| ~ ssList(sk2) ),
inference(subsumption_resolution,[],[f489,f8]) ).
fof(f489,plain,
( ~ ssList(nil)
| nil = sk2
| ~ ssList(sk2) ),
inference(resolution,[],[f100,f240]) ).
fof(f240,plain,
~ neq(sk2,nil),
inference(subsumption_resolution,[],[f239,f192]) ).
fof(f239,plain,
( frontsegP(sk2,sk1)
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[],[f238,f190]) ).
fof(f238,plain,
( frontsegP(sk4,sk1)
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[],[f237,f191]) ).
fof(f237,plain,
( ~ neq(sk2,nil)
| frontsegP(sk4,sk3) ),
inference(forward_demodulation,[],[f195,f190]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f497,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f496]) ).
fof(f496,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f495,f187]) ).
fof(f495,plain,
( ~ ssList(sk2)
| spl0_1 ),
inference(subsumption_resolution,[],[f494,f250]) ).
fof(f250,plain,
( nil != sk2
| spl0_1 ),
inference(superposition,[],[f244,f190]) ).
fof(f244,plain,
( nil != sk4
| spl0_1 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f242,plain,
( spl0_1
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f257,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f72,f255,f252]) ).
fof(f252,plain,
( spl0_3
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f255,plain,
( spl0_4
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f249,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f234,f246,f242]) ).
fof(f234,plain,
( nil = sk1
| nil != sk4 ),
inference(forward_demodulation,[],[f193,f191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC352-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n008.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 : Fri May 3 20:33:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (3211)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39 % (3214)WARNING: value z3 for option sas not known
% 0.15/0.39 % (3215)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (3213)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (3212)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (3214)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)
% 0.15/0.39 % (3216)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)
% 0.15/0.39 % (3217)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)
% 0.15/0.39 % (3218)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)
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.15/0.41 % (3214)First to succeed.
% 0.15/0.41 % (3217)Also succeeded, but the first one will report.
% 0.15/0.41 % (3214)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3211"
% 0.22/0.41 % (3214)Refutation found. Thanks to Tanya!
% 0.22/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.41 % (3214)------------------------------
% 0.22/0.41 % (3214)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.41 % (3214)Termination reason: Refutation
% 0.22/0.41
% 0.22/0.41 % (3214)Memory used [KB]: 1177
% 0.22/0.41 % (3214)Time elapsed: 0.020 s
% 0.22/0.41 % (3214)Instructions burned: 32 (million)
% 0.22/0.41 % (3211)Success in time 0.04 s
%------------------------------------------------------------------------------