TSTP Solution File: SWW417-1 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWW417-1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% 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 : Mon Jun 24 18:51:49 EDT 2024
% Result : Unsatisfiable 0.22s 0.44s
% Output : Refutation 0.22s
% 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(f150,plain,
$false,
inference(avatar_sat_refutation,[],[f20,f25,f30,f34,f38,f42,f47,f53,f57,f61,f83,f91,f95,f99,f113,f123,f135,f149]) ).
fof(f149,plain,
( spl0_3
| spl0_1
| ~ spl0_8
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f114,f111,f50,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(f50,plain,
( spl0_8
<=> heap(sep(next(x1,x2),sep(lseg(x2,nil),emp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f111,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(f114,plain,
( heap(sep(lseg(x1,nil),emp))
| x1 = x2
| ~ spl0_8
| ~ spl0_15 ),
inference(resolution,[],[f112,f52]) ).
fof(f52,plain,
( heap(sep(next(x1,x2),sep(lseg(x2,nil),emp)))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f112,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,[],[f111]) ).
fof(f135,plain,
spl0_17,
inference(avatar_split_clause,[],[f11,f133]) ).
fof(f133,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',unknown) ).
fof(f123,plain,
spl0_16,
inference(avatar_split_clause,[],[f10,f121]) ).
fof(f121,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',unknown) ).
fof(f113,plain,
spl0_15,
inference(avatar_split_clause,[],[f8,f111]) ).
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',unknown) ).
fof(f99,plain,
( spl0_14
| ~ spl0_4
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f73,f59,f32,f97]) ).
fof(f97,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(f59,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(f73,plain,
( ! [X2,X0,X1] : ~ heap(sep(X1,sep(next(nil,X0),X2)))
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f33,f60]) ).
fof(f60,plain,
( ! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f33,plain,
( ! [X2,X4] : ~ heap(sep(next(nil,X4),X2))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f95,plain,
spl0_13,
inference(avatar_split_clause,[],[f9,f93]) ).
fof(f93,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',unknown) ).
fof(f91,plain,
spl0_12,
inference(avatar_split_clause,[],[f7,f89]) ).
fof(f89,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',unknown) ).
fof(f83,plain,
spl0_11,
inference(avatar_split_clause,[],[f6,f81]) ).
fof(f81,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',unknown) ).
fof(f61,plain,
spl0_10,
inference(avatar_split_clause,[],[f1,f59]) ).
fof(f1,axiom,
! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f57,plain,
spl0_9,
inference(avatar_split_clause,[],[f5,f55]) ).
fof(f55,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',unknown) ).
fof(f53,plain,
( spl0_8
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f48,f44,f50]) ).
fof(f44,plain,
( spl0_7
<=> heap(sep(lseg(x2,nil),sep(next(x1,x2),emp))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f48,plain,
( heap(sep(next(x1,x2),sep(lseg(x2,nil),emp)))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f46,f1]) ).
fof(f46,plain,
( heap(sep(lseg(x2,nil),sep(next(x1,x2),emp)))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f47,plain,
spl0_7,
inference(avatar_split_clause,[],[f14,f44]) ).
fof(f14,axiom,
heap(sep(lseg(x2,nil),sep(next(x1,x2),emp))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
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',unknown) ).
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',unknown) ).
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',unknown) ).
fof(f30,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f13,f27]) ).
fof(f13,axiom,
x1 != x2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
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',unknown) ).
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',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW417-1 : TPTP v8.2.0. Released v5.2.0.
% 0.08/0.13 % Command : run_vampire %s %d SAT
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 04:53:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.12/0.36 Running first-order model finding
% 0.12/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.43 % (12841)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (12849)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.22/0.43 % (12841)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (12848)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.22/0.43 % (12841)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (12843)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.22/0.43 % (12841)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (12844)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:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.22/0.43 % (12841)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (12846)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.22/0.43 % (12841)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (12847)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.22/0.43 % (12841)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (12845)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.44 % (12844)First to succeed.
% 0.22/0.44 % (12844)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12841"
% 0.22/0.44 % (12841)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (12844)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.44 % (12844)------------------------------
% 0.22/0.44 % (12844)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.44 % (12844)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.44 % (12844)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (12844)Memory used [KB]: 823
% 0.22/0.44 % (12844)Time elapsed: 0.009 s
% 0.22/0.44 % (12844)Instructions burned: 10 (million)
% 0.22/0.44 % (12844)------------------------------
% 0.22/0.44 % (12844)------------------------------
% 0.22/0.44 % (12841)Success in time 0.07 s
%------------------------------------------------------------------------------