TSTP Solution File: SWW423-1 by Vampire-SAT---4.9
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SWW423-1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n027.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 18:51:51 EDT 2024
% Result : Unsatisfiable 0.20s 0.41s
% Output : Refutation 0.20s
% 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(f183,plain,
$false,
inference(avatar_sat_refutation,[],[f21,f27,f32,f37,f42,f46,f50,f54,f58,f62,f84,f93,f99,f103,f107,f111,f125,f136,f148,f165,f174,f182]) ).
fof(f182,plain,
( spl0_4
| spl0_2
| ~ spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f132,f123,f96,f60,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(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(f96,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(f123,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(f132,plain,
( heap(sep(lseg(x3,nil),sep(lseg(x1,nil),emp)))
| x1 = x2
| ~ spl0_10
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f126,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(f126,plain,
( heap(sep(lseg(x1,nil),sep(lseg(x3,nil),emp)))
| x1 = x2
| ~ spl0_13
| ~ spl0_17 ),
inference(resolution,[],[f124,f98]) ).
fof(f98,plain,
( heap(sep(next(x1,x2),sep(lseg(x2,nil),sep(lseg(x3,nil),emp))))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f124,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,[],[f123]) ).
fof(f174,plain,
( spl0_21
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f75,f60,f56,f172]) ).
fof(f172,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(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(f75,plain,
( ! [X2,X3,X0,X1,X4] : ~ heap(sep(next(X0,X4),sep(X2,sep(next(X0,X1),X3))))
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f57,f61]) ).
fof(f57,plain,
( ! [X2,X3,X4,X5] : ~ heap(sep(next(X3,X4),sep(next(X3,X5),X2)))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f165,plain,
( spl0_20
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f72,f60,f52,f163]) ).
fof(f163,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(f72,plain,
( ! [X2,X0,X1] :
( ~ heap(sep(X1,sep(lseg(nil,X0),X2)))
| nil = X0 )
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f53,f61]) ).
fof(f53,plain,
( ! [X2,X4] :
( ~ heap(sep(lseg(nil,X4),X2))
| nil = X4 )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f148,plain,
spl0_19,
inference(avatar_split_clause,[],[f11,f146]) ).
fof(f146,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',unknown) ).
fof(f136,plain,
spl0_18,
inference(avatar_split_clause,[],[f10,f134]) ).
fof(f134,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',unknown) ).
fof(f125,plain,
spl0_17,
inference(avatar_split_clause,[],[f8,f123]) ).
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',unknown) ).
fof(f111,plain,
spl0_16,
inference(avatar_split_clause,[],[f9,f109]) ).
fof(f109,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',unknown) ).
fof(f107,plain,
spl0_15,
inference(avatar_split_clause,[],[f7,f105]) ).
fof(f105,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',unknown) ).
fof(f103,plain,
( spl0_14
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f74,f60,f44,f101]) ).
fof(f101,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(f74,plain,
( ! [X2,X0,X1] : ~ heap(sep(X1,sep(next(nil,X0),X2)))
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f45,f61]) ).
fof(f45,plain,
( ! [X2,X4] : ~ heap(sep(next(nil,X4),X2))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f99,plain,
( spl0_13
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f94,f90,f60,f96]) ).
fof(f90,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(f94,plain,
( heap(sep(next(x1,x2),sep(lseg(x2,nil),sep(lseg(x3,nil),emp))))
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f92,f64]) ).
fof(f64,plain,
( ! [X2,X3,X0,X1] : sep(X0,sep(X3,sep(X1,X2))) = sep(X3,sep(X1,sep(X0,X2)))
| ~ spl0_10 ),
inference(superposition,[],[f61,f61]) ).
fof(f92,plain,
( heap(sep(lseg(x2,nil),sep(lseg(x3,nil),sep(next(x1,x2),emp))))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,plain,
spl0_12,
inference(avatar_split_clause,[],[f15,f90]) ).
fof(f15,axiom,
heap(sep(lseg(x2,nil),sep(lseg(x3,nil),sep(next(x1,x2),emp)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
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/sandbox2/benchmark/theBenchmark.p',unknown) ).
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/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f58,plain,
spl0_9,
inference(avatar_split_clause,[],[f5,f56]) ).
fof(f5,axiom,
! [X2,X3,X4,X5] : ~ heap(sep(next(X3,X4),sep(next(X3,X5),X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
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',unknown) ).
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',unknown) ).
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',unknown) ).
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',unknown) ).
fof(f37,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f13,f34]) ).
fof(f13,axiom,
x1 != x2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
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',unknown) ).
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',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWW423-1 : TPTP v8.2.0. Released v5.2.0.
% 0.06/0.11 % Command : run_vampire %s %d SAT
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Jun 19 07:17:39 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.34 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.11/0.34 Running first-order model finding
% 0.11/0.34 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.40 % (32244)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.40 % (32246)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 (2999ds/99418Mi)
% 0.20/0.40 % (32244)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.40 % (32249)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 (2999ds/152523Mi)
% 0.20/0.40 % (32244)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.40 % (32245)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.20/0.40 % (32244)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.40 % (32251)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 (2999ds/146Mi)
% 0.20/0.40 % (32244)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.40 % (32247)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.20/0.40 % (32244)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.40 % (32252)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 (2999ds/115Mi)
% 0.20/0.41 % (32244)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (32250)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.20/0.41 TRYING [1]
% 0.20/0.41 TRYING [2]
% 0.20/0.41 % (32246)First to succeed.
% 0.20/0.41 % (32246)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32244"
% 0.20/0.41 % (32244)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (32246)Refutation found. Thanks to Tanya!
% 0.20/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.41 % (32246)------------------------------
% 0.20/0.41 % (32246)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.41 % (32246)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.41 % (32246)Termination reason: Refutation
% 0.20/0.41
% 0.20/0.41 % (32246)Memory used [KB]: 832
% 0.20/0.41 % (32246)Time elapsed: 0.011 s
% 0.20/0.41 % (32246)Instructions burned: 11 (million)
% 0.20/0.41 % (32246)------------------------------
% 0.20/0.41 % (32246)------------------------------
% 0.20/0.41 % (32244)Success in time 0.072 s
%------------------------------------------------------------------------------