TSTP Solution File: SWW421-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW421-1 : 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 : n031.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 17:32:27 EDT 2024
% Result : Unsatisfiable 0.11s 0.36s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 34
% Syntax : Number of formulae : 62 ( 26 unt; 0 def)
% Number of atoms : 119 ( 25 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 102 ( 45 ~; 39 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 21 ( 19 usr; 19 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 91 ( 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f161,plain,
$false,
inference(avatar_sat_refutation,[],[f21,f26,f31,f36,f40,f44,f48,f54,f60,f64,f68,f90,f99,f103,f107,f123,f133,f145,f160]) ).
fof(f160,plain,
( spl0_3
| spl0_1
| ~ spl0_9
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f124,f121,f57,f18,f28]) ).
fof(f28,plain,
( spl0_3
<=> x1 = x2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f18,plain,
( spl0_1
<=> heap(sep(lseg(x1,x3),emp)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f57,plain,
( spl0_9
<=> heap(sep(next(x1,x2),sep(lseg(x2,x3),emp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f121,plain,
( spl0_16
<=> ! [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_16])]) ).
fof(f124,plain,
( heap(sep(lseg(x1,x3),emp))
| x1 = x2
| ~ spl0_9
| ~ spl0_16 ),
inference(resolution,[],[f122,f59]) ).
fof(f59,plain,
( heap(sep(next(x1,x2),sep(lseg(x2,x3),emp)))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f122,plain,
( ! [X2,X3,X4,X5] :
( ~ heap(sep(next(X3,X4),sep(lseg(X4,X5),X2)))
| heap(sep(lseg(X3,X5),X2))
| X3 = X4 )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f145,plain,
spl0_18,
inference(avatar_split_clause,[],[f11,f143]) ).
fof(f143,plain,
( spl0_18
<=> ! [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_18])]) ).
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(f133,plain,
spl0_17,
inference(avatar_split_clause,[],[f10,f131]) ).
fof(f131,plain,
( spl0_17
<=> ! [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_17])]) ).
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(f123,plain,
spl0_16,
inference(avatar_split_clause,[],[f8,f121]) ).
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(f107,plain,
spl0_15,
inference(avatar_split_clause,[],[f9,f105]) ).
fof(f105,plain,
( spl0_15
<=> ! [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_15])]) ).
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(f103,plain,
spl0_14,
inference(avatar_split_clause,[],[f7,f101]) ).
fof(f101,plain,
( spl0_14
<=> ! [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_14])]) ).
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(f99,plain,
( spl0_13
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f80,f66,f38,f97]) ).
fof(f97,plain,
( spl0_13
<=> ! [X2,X0,X1] : ~ heap(sep(X1,sep(next(nil,X0),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f38,plain,
( spl0_5
<=> ! [X2,X4] : ~ heap(sep(next(nil,X4),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f66,plain,
( spl0_11
<=> ! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f80,plain,
( ! [X2,X0,X1] : ~ heap(sep(X1,sep(next(nil,X0),X2)))
| ~ spl0_5
| ~ spl0_11 ),
inference(superposition,[],[f39,f67]) ).
fof(f67,plain,
( ! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f39,plain,
( ! [X2,X4] : ~ heap(sep(next(nil,X4),X2))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f90,plain,
spl0_12,
inference(avatar_split_clause,[],[f6,f88]) ).
fof(f88,plain,
( spl0_12
<=> ! [X3,X4,X5,X2] :
( X3 = X5
| ~ heap(sep(next(X3,X4),sep(lseg(X3,X5),X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
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(f68,plain,
spl0_11,
inference(avatar_split_clause,[],[f1,f66]) ).
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(f64,plain,
spl0_10,
inference(avatar_split_clause,[],[f5,f62]) ).
fof(f62,plain,
( spl0_10
<=> ! [X3,X4,X5,X2] : ~ heap(sep(next(X3,X4),sep(next(X3,X5),X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
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(f60,plain,
( spl0_9
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f55,f51,f57]) ).
fof(f51,plain,
( spl0_8
<=> heap(sep(lseg(x2,x3),sep(next(x1,x2),emp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f55,plain,
( heap(sep(next(x1,x2),sep(lseg(x2,x3),emp)))
| ~ spl0_8 ),
inference(forward_demodulation,[],[f53,f1]) ).
fof(f53,plain,
( heap(sep(lseg(x2,x3),sep(next(x1,x2),emp)))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f54,plain,
spl0_8,
inference(avatar_split_clause,[],[f15,f51]) ).
fof(f15,axiom,
heap(sep(lseg(x2,x3),sep(next(x1,x2),emp))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_4) ).
fof(f48,plain,
spl0_7,
inference(avatar_split_clause,[],[f4,f46]) ).
fof(f46,plain,
( spl0_7
<=> ! [X4,X2] :
( nil = X4
| ~ heap(sep(lseg(nil,X4),X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f4,axiom,
! [X2,X4] :
( nil = X4
| ~ heap(sep(lseg(nil,X4),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wellformedness_2) ).
fof(f44,plain,
spl0_6,
inference(avatar_split_clause,[],[f2,f42]) ).
fof(f42,plain,
( spl0_6
<=> ! [X2,X3] : sep(lseg(X3,X3),X2) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f2,axiom,
! [X2,X3] : sep(lseg(X3,X3),X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',normalization) ).
fof(f40,plain,
spl0_5,
inference(avatar_split_clause,[],[f3,f38]) ).
fof(f3,axiom,
! [X2,X4] : ~ heap(sep(next(nil,X4),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wellformedness_1) ).
fof(f36,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f14,f33]) ).
fof(f33,plain,
( spl0_4
<=> x1 = x3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f14,axiom,
x1 != x3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_3) ).
fof(f31,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f13,f28]) ).
fof(f13,axiom,
x1 != x2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).
fof(f26,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f12,f23]) ).
fof(f23,plain,
( spl0_2
<=> nil = x1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f12,axiom,
nil != x1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_1) ).
fof(f21,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f16,f18]) ).
fof(f16,axiom,
~ heap(sep(lseg(x1,x3),emp)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SWW421-1 : TPTP v8.1.2. Released v5.2.0.
% 0.09/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n031.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 03:47:58 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (6734)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (6737)WARNING: value z3 for option sas not known
% 0.11/0.35 % (6736)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.35 % (6738)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.35 % (6739)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)
% 0.11/0.35 % (6737)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)
% 0.11/0.35 % (6741)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)
% 0.11/0.35 % (6740)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)
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [2]
% 0.11/0.35 % (6739)First to succeed.
% 0.11/0.35 % (6735)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.36 % (6739)Refutation found. Thanks to Tanya!
% 0.11/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.36 % (6739)------------------------------
% 0.11/0.36 % (6739)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.36 % (6739)Termination reason: Refutation
% 0.11/0.36
% 0.11/0.36 % (6739)Memory used [KB]: 883
% 0.11/0.36 % (6739)Time elapsed: 0.007 s
% 0.11/0.36 % (6739)Instructions burned: 10 (million)
% 0.11/0.36 % (6739)------------------------------
% 0.11/0.36 % (6739)------------------------------
% 0.11/0.36 % (6734)Success in time 0.022 s
%------------------------------------------------------------------------------