TSTP Solution File: SWW417-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW417-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 17:32:26 EDT 2024
% Result : Unsatisfiable 0.21s 0.39s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 32
% Syntax : Number of formulae : 59 ( 24 unt; 0 def)
% Number of atoms : 115 ( 23 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 99 ( 43 ~; 39 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 20 ( 18 usr; 18 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 91 ( 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f155,plain,
$false,
inference(avatar_sat_refutation,[],[f20,f25,f30,f34,f38,f42,f48,f54,f58,f62,f84,f93,f97,f101,f117,f127,f139,f154]) ).
fof(f154,plain,
( spl0_3
| spl0_1
| ~ spl0_8
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f118,f115,f51,f17,f27]) ).
fof(f27,plain,
( spl0_3
<=> x1 = x2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f17,plain,
( spl0_1
<=> heap(sep(lseg(x1,nil),emp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f51,plain,
( spl0_8
<=> heap(sep(next(x1,x2),sep(lseg(x2,nil),emp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f115,plain,
( spl0_15
<=> ! [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_15])]) ).
fof(f118,plain,
( heap(sep(lseg(x1,nil),emp))
| x1 = x2
| ~ spl0_8
| ~ spl0_15 ),
inference(resolution,[],[f116,f53]) ).
fof(f53,plain,
( heap(sep(next(x1,x2),sep(lseg(x2,nil),emp)))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f116,plain,
( ! [X2,X3,X4,X5] :
( ~ heap(sep(next(X3,X4),sep(lseg(X4,X5),X2)))
| heap(sep(lseg(X3,X5),X2))
| X3 = X4 )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f139,plain,
spl0_17,
inference(avatar_split_clause,[],[f11,f137]) ).
fof(f137,plain,
( spl0_17
<=> ! [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_17])]) ).
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/sandbox/benchmark/theBenchmark.p',unfolding_5) ).
fof(f127,plain,
spl0_16,
inference(avatar_split_clause,[],[f10,f125]) ).
fof(f125,plain,
( spl0_16
<=> ! [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_16])]) ).
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/sandbox/benchmark/theBenchmark.p',unfolding_4) ).
fof(f117,plain,
spl0_15,
inference(avatar_split_clause,[],[f8,f115]) ).
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/sandbox/benchmark/theBenchmark.p',unfolding_2) ).
fof(f101,plain,
( spl0_14
| ~ spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f74,f60,f32,f99]) ).
fof(f99,plain,
( spl0_14
<=> ! [X2,X0,X1] : ~ heap(sep(X1,sep(next(nil,X0),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f32,plain,
( spl0_4
<=> ! [X2,X4] : ~ heap(sep(next(nil,X4),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f60,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(f74,plain,
( ! [X2,X0,X1] : ~ heap(sep(X1,sep(next(nil,X0),X2)))
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f33,f61]) ).
fof(f61,plain,
( ! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f33,plain,
( ! [X2,X4] : ~ heap(sep(next(nil,X4),X2))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f97,plain,
spl0_13,
inference(avatar_split_clause,[],[f9,f95]) ).
fof(f95,plain,
( spl0_13
<=> ! [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_13])]) ).
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/sandbox/benchmark/theBenchmark.p',unfolding_3) ).
fof(f93,plain,
spl0_12,
inference(avatar_split_clause,[],[f7,f91]) ).
fof(f91,plain,
( spl0_12
<=> ! [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_12])]) ).
fof(f7,axiom,
! [X2,X3,X4,X5] :
( X3 = X5
| X3 = X4
| ~ heap(sep(lseg(X3,X4),sep(lseg(X3,X5),X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wellformedness_5) ).
fof(f84,plain,
spl0_11,
inference(avatar_split_clause,[],[f6,f82]) ).
fof(f82,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/sandbox/benchmark/theBenchmark.p',wellformedness_4) ).
fof(f62,plain,
spl0_10,
inference(avatar_split_clause,[],[f1,f60]) ).
fof(f1,axiom,
! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_commutative) ).
fof(f58,plain,
spl0_9,
inference(avatar_split_clause,[],[f5,f56]) ).
fof(f56,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(f5,axiom,
! [X2,X3,X4,X5] : ~ heap(sep(next(X3,X4),sep(next(X3,X5),X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wellformedness_3) ).
fof(f54,plain,
( spl0_8
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f49,f45,f51]) ).
fof(f45,plain,
( spl0_7
<=> heap(sep(lseg(x2,nil),sep(next(x1,x2),emp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f49,plain,
( heap(sep(next(x1,x2),sep(lseg(x2,nil),emp)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f47,f1]) ).
fof(f47,plain,
( heap(sep(lseg(x2,nil),sep(next(x1,x2),emp)))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f48,plain,
spl0_7,
inference(avatar_split_clause,[],[f14,f45]) ).
fof(f14,axiom,
heap(sep(lseg(x2,nil),sep(next(x1,x2),emp))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_3) ).
fof(f42,plain,
spl0_6,
inference(avatar_split_clause,[],[f4,f40]) ).
fof(f40,plain,
( spl0_6
<=> ! [X4,X2] :
( nil = X4
| ~ heap(sep(lseg(nil,X4),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f4,axiom,
! [X2,X4] :
( nil = X4
| ~ heap(sep(lseg(nil,X4),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wellformedness_2) ).
fof(f38,plain,
spl0_5,
inference(avatar_split_clause,[],[f2,f36]) ).
fof(f36,plain,
( spl0_5
<=> ! [X2,X3] : sep(lseg(X3,X3),X2) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f2,axiom,
! [X2,X3] : sep(lseg(X3,X3),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',normalization) ).
fof(f34,plain,
spl0_4,
inference(avatar_split_clause,[],[f3,f32]) ).
fof(f3,axiom,
! [X2,X4] : ~ heap(sep(next(nil,X4),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wellformedness_1) ).
fof(f30,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f13,f27]) ).
fof(f13,axiom,
x1 != x2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_2) ).
fof(f25,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f12,f22]) ).
fof(f22,plain,
( spl0_2
<=> nil = x1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f12,axiom,
nil != x1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_1) ).
fof(f20,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f15,f17]) ).
fof(f15,axiom,
~ heap(sep(lseg(x1,nil),emp)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW417-1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 02:52:27 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (19977)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (19982)WARNING: value z3 for option sas not known
% 0.21/0.38 % (19983)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (19981)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (19984)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)
% 0.21/0.38 % (19982)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)
% 0.21/0.38 % (19985)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)
% 0.21/0.38 % (19980)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (19986)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)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 % (19984)First to succeed.
% 0.21/0.39 % (19984)Refutation found. Thanks to Tanya!
% 0.21/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39 % (19984)------------------------------
% 0.21/0.39 % (19984)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.39 % (19984)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (19984)Memory used [KB]: 883
% 0.21/0.39 % (19984)Time elapsed: 0.008 s
% 0.21/0.39 % (19984)Instructions burned: 10 (million)
% 0.21/0.39 % (19984)------------------------------
% 0.21/0.39 % (19984)------------------------------
% 0.21/0.39 % (19977)Success in time 0.024 s
%------------------------------------------------------------------------------