TSTP Solution File: SWW423-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW423-1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 May 21 07:22:48 EDT 2024
% Result : Unsatisfiable 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 37
% Syntax : Number of formulae : 76 ( 26 unt; 0 def)
% Number of atoms : 160 ( 30 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 155 ( 71 ~; 63 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 24 ( 22 usr; 22 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 117 ( 117 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f189,plain,
$false,
inference(avatar_sat_refutation,[],[f21,f27,f32,f37,f42,f46,f50,f54,f59,f63,f85,f95,f101,f105,f109,f113,f129,f140,f152,f170,f180,f188]) ).
fof(f188,plain,
( spl0_4
| spl0_2
| ~ spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f136,f127,f98,f61,f24,f34]) ).
fof(f34,plain,
( spl0_4
<=> x1 = x2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f24,plain,
( spl0_2
<=> heap(sep(lseg(x3,nil),sep(lseg(x1,nil),emp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f61,plain,
( spl0_10
<=> ! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f98,plain,
( spl0_13
<=> heap(sep(next(x1,x2),sep(lseg(x2,nil),sep(lseg(x3,nil),emp)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f127,plain,
( spl0_17
<=> ! [X3,X4,X5,X2] :
( X3 = X4
| heap(sep(lseg(X3,X5),X2))
| ~ heap(sep(next(X3,X4),sep(lseg(X4,X5),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f136,plain,
( heap(sep(lseg(x3,nil),sep(lseg(x1,nil),emp)))
| x1 = x2
| ~ spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f130,f62]) ).
fof(f62,plain,
( ! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f130,plain,
( heap(sep(lseg(x1,nil),sep(lseg(x3,nil),emp)))
| x1 = x2
| ~ spl0_13
| ~ spl0_17 ),
inference(resolution,[],[f128,f100]) ).
fof(f100,plain,
( heap(sep(next(x1,x2),sep(lseg(x2,nil),sep(lseg(x3,nil),emp))))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f128,plain,
( ! [X2,X3,X4,X5] :
( ~ heap(sep(next(X3,X4),sep(lseg(X4,X5),X2)))
| heap(sep(lseg(X3,X5),X2))
| X3 = X4 )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f180,plain,
( spl0_21
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f76,f61,f57,f178]) ).
fof(f178,plain,
( spl0_21
<=> ! [X4,X0,X3,X2,X1] : ~ heap(sep(next(X0,X4),sep(X2,sep(next(X0,X1),X3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f57,plain,
( spl0_9
<=> ! [X3,X4,X5,X2] : ~ heap(sep(next(X3,X4),sep(next(X3,X5),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f76,plain,
( ! [X2,X3,X0,X1,X4] : ~ heap(sep(next(X0,X4),sep(X2,sep(next(X0,X1),X3))))
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f58,f62]) ).
fof(f58,plain,
( ! [X2,X3,X4,X5] : ~ heap(sep(next(X3,X4),sep(next(X3,X5),X2)))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f170,plain,
( spl0_20
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f73,f61,f52,f168]) ).
fof(f168,plain,
( spl0_20
<=> ! [X2,X0,X1] :
( ~ heap(sep(X1,sep(lseg(nil,X0),X2)))
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f52,plain,
( spl0_8
<=> ! [X4,X2] :
( nil = X4
| ~ heap(sep(lseg(nil,X4),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f73,plain,
( ! [X2,X0,X1] :
( ~ heap(sep(X1,sep(lseg(nil,X0),X2)))
| nil = X0 )
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f53,f62]) ).
fof(f53,plain,
( ! [X2,X4] :
( ~ heap(sep(lseg(nil,X4),X2))
| nil = X4 )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f152,plain,
spl0_19,
inference(avatar_split_clause,[],[f11,f150]) ).
fof(f150,plain,
( spl0_19
<=> ! [X5,X3,X4,X6,X2] :
( X5 = X6
| heap(sep(lseg(X3,X5),sep(lseg(X5,X6),X2)))
| ~ heap(sep(lseg(X3,X4),sep(lseg(X4,X5),sep(lseg(X5,X6),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f11,axiom,
! [X2,X3,X6,X4,X5] :
( X5 = X6
| heap(sep(lseg(X3,X5),sep(lseg(X5,X6),X2)))
| ~ heap(sep(lseg(X3,X4),sep(lseg(X4,X5),sep(lseg(X5,X6),X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unfolding_5) ).
fof(f140,plain,
spl0_18,
inference(avatar_split_clause,[],[f10,f138]) ).
fof(f138,plain,
( spl0_18
<=> ! [X5,X3,X4,X6,X2] :
( heap(sep(lseg(X3,X5),sep(next(X5,X6),X2)))
| ~ heap(sep(lseg(X3,X4),sep(lseg(X4,X5),sep(next(X5,X6),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f10,axiom,
! [X2,X3,X6,X4,X5] :
( heap(sep(lseg(X3,X5),sep(next(X5,X6),X2)))
| ~ heap(sep(lseg(X3,X4),sep(lseg(X4,X5),sep(next(X5,X6),X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unfolding_4) ).
fof(f129,plain,
spl0_17,
inference(avatar_split_clause,[],[f8,f127]) ).
fof(f8,axiom,
! [X2,X3,X4,X5] :
( X3 = X4
| heap(sep(lseg(X3,X5),X2))
| ~ heap(sep(next(X3,X4),sep(lseg(X4,X5),X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unfolding_2) ).
fof(f113,plain,
spl0_16,
inference(avatar_split_clause,[],[f9,f111]) ).
fof(f111,plain,
( spl0_16
<=> ! [X2,X4,X3] :
( heap(sep(lseg(X3,nil),X2))
| ~ heap(sep(lseg(X3,X4),sep(lseg(X4,nil),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f9,axiom,
! [X2,X3,X4] :
( heap(sep(lseg(X3,nil),X2))
| ~ heap(sep(lseg(X3,X4),sep(lseg(X4,nil),X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unfolding_3) ).
fof(f109,plain,
spl0_15,
inference(avatar_split_clause,[],[f7,f107]) ).
fof(f107,plain,
( spl0_15
<=> ! [X3,X4,X5,X2] :
( X3 = X5
| X3 = X4
| ~ heap(sep(lseg(X3,X4),sep(lseg(X3,X5),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f7,axiom,
! [X2,X3,X4,X5] :
( X3 = X5
| X3 = X4
| ~ heap(sep(lseg(X3,X4),sep(lseg(X3,X5),X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wellformedness_5) ).
fof(f105,plain,
( spl0_14
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f75,f61,f44,f103]) ).
fof(f103,plain,
( spl0_14
<=> ! [X2,X0,X1] : ~ heap(sep(X1,sep(next(nil,X0),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f44,plain,
( spl0_6
<=> ! [X2,X4] : ~ heap(sep(next(nil,X4),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f75,plain,
( ! [X2,X0,X1] : ~ heap(sep(X1,sep(next(nil,X0),X2)))
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f45,f62]) ).
fof(f45,plain,
( ! [X2,X4] : ~ heap(sep(next(nil,X4),X2))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f101,plain,
( spl0_13
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f96,f92,f61,f98]) ).
fof(f92,plain,
( spl0_12
<=> heap(sep(lseg(x2,nil),sep(lseg(x3,nil),sep(next(x1,x2),emp)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f96,plain,
( heap(sep(next(x1,x2),sep(lseg(x2,nil),sep(lseg(x3,nil),emp))))
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f94,f65]) ).
fof(f65,plain,
( ! [X2,X3,X0,X1] : sep(X0,sep(X3,sep(X1,X2))) = sep(X3,sep(X1,sep(X0,X2)))
| ~ spl0_10 ),
inference(superposition,[],[f62,f62]) ).
fof(f94,plain,
( heap(sep(lseg(x2,nil),sep(lseg(x3,nil),sep(next(x1,x2),emp))))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f95,plain,
spl0_12,
inference(avatar_split_clause,[],[f15,f92]) ).
fof(f15,axiom,
heap(sep(lseg(x2,nil),sep(lseg(x3,nil),sep(next(x1,x2),emp)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_4) ).
fof(f85,plain,
spl0_11,
inference(avatar_split_clause,[],[f6,f83]) ).
fof(f83,plain,
( spl0_11
<=> ! [X3,X4,X5,X2] :
( X3 = X5
| ~ heap(sep(next(X3,X4),sep(lseg(X3,X5),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f6,axiom,
! [X2,X3,X4,X5] :
( X3 = X5
| ~ heap(sep(next(X3,X4),sep(lseg(X3,X5),X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wellformedness_4) ).
fof(f63,plain,
spl0_10,
inference(avatar_split_clause,[],[f1,f61]) ).
fof(f1,axiom,
! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_commutative) ).
fof(f59,plain,
spl0_9,
inference(avatar_split_clause,[],[f5,f57]) ).
fof(f5,axiom,
! [X2,X3,X4,X5] : ~ heap(sep(next(X3,X4),sep(next(X3,X5),X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wellformedness_3) ).
fof(f54,plain,
spl0_8,
inference(avatar_split_clause,[],[f4,f52]) ).
fof(f4,axiom,
! [X2,X4] :
( nil = X4
| ~ heap(sep(lseg(nil,X4),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wellformedness_2) ).
fof(f50,plain,
spl0_7,
inference(avatar_split_clause,[],[f2,f48]) ).
fof(f48,plain,
( spl0_7
<=> ! [X2,X3] : sep(lseg(X3,X3),X2) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f2,axiom,
! [X2,X3] : sep(lseg(X3,X3),X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',normalization) ).
fof(f46,plain,
spl0_6,
inference(avatar_split_clause,[],[f3,f44]) ).
fof(f3,axiom,
! [X2,X4] : ~ heap(sep(next(nil,X4),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wellformedness_1) ).
fof(f42,plain,
~ spl0_5,
inference(avatar_split_clause,[],[f14,f39]) ).
fof(f39,plain,
( spl0_5
<=> x1 = x3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f14,axiom,
x1 != x3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_3) ).
fof(f37,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f13,f34]) ).
fof(f13,axiom,
x1 != x2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).
fof(f32,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f12,f29]) ).
fof(f29,plain,
( spl0_3
<=> nil = x1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f12,axiom,
nil != x1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_1) ).
fof(f27,plain,
( ~ spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f22,f18,f24]) ).
fof(f18,plain,
( spl0_1
<=> heap(sep(lseg(x1,nil),sep(lseg(x3,nil),emp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f22,plain,
( ~ heap(sep(lseg(x3,nil),sep(lseg(x1,nil),emp)))
| spl0_1 ),
inference(forward_demodulation,[],[f20,f1]) ).
fof(f20,plain,
( ~ heap(sep(lseg(x1,nil),sep(lseg(x3,nil),emp)))
| spl0_1 ),
inference(avatar_component_clause,[],[f18]) ).
fof(f21,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f16,f18]) ).
fof(f16,axiom,
~ heap(sep(lseg(x1,nil),sep(lseg(x3,nil),emp))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW423-1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat May 18 19:57:53 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % (28875)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (28878)WARNING: value z3 for option sas not known
% 0.14/0.36 % (28878)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)
% 0.14/0.36 % (28877)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.36 % (28879)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 % (28876)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % (28880)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)
% 0.14/0.37 % (28881)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)
% 0.14/0.37 % (28882)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 % (28880)First to succeed.
% 0.14/0.37 % (28880)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28875"
% 0.14/0.37 % (28880)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (28880)------------------------------
% 0.14/0.38 % (28880)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (28880)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (28880)Memory used [KB]: 899
% 0.14/0.38 % (28880)Time elapsed: 0.009 s
% 0.14/0.38 % (28880)Instructions burned: 11 (million)
% 0.14/0.38 % (28875)Success in time 0.015 s
%------------------------------------------------------------------------------