TSTP Solution File: SWW410-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW410-1 : 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 : n017.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 17:32:25 EDT 2024
% Result : Unsatisfiable 26.35s 4.13s
% Output : Refutation 26.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 16 unt; 0 def)
% Number of atoms : 39 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 12 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22494,plain,
$false,
inference(subsumption_resolution,[],[f22492,f22483]) ).
fof(f22483,plain,
~ heap(sep(lseg(x2,nil),emp)),
inference(forward_demodulation,[],[f22478,f2]) ).
fof(f2,axiom,
! [X2,X3] : sep(lseg(X3,X3),X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',normalization) ).
fof(f22478,plain,
~ heap(sep(lseg(nil,nil),sep(lseg(x2,nil),emp))),
inference(superposition,[],[f17,f22467]) ).
fof(f22467,plain,
nil = x3,
inference(subsumption_resolution,[],[f22460,f27]) ).
fof(f27,plain,
~ heap(sep(lseg(x2,x3),sep(lseg(x3,nil),emp))),
inference(superposition,[],[f17,f1]) ).
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(f22460,plain,
( heap(sep(lseg(x2,x3),sep(lseg(x3,nil),emp)))
| nil = x3 ),
inference(resolution,[],[f22447,f975]) ).
fof(f975,plain,
! [X2,X3,X0,X1,X4] :
( ~ heap(sep(lseg(X1,X2),sep(lseg(X0,X1),sep(lseg(X2,X3),X4))))
| heap(sep(lseg(X0,X2),sep(lseg(X2,X3),X4)))
| X2 = X3 ),
inference(superposition,[],[f11,f1]) ).
fof(f11,axiom,
! [X2,X3,X6,X4,X5] :
( ~ heap(sep(lseg(X3,X4),sep(lseg(X4,X5),sep(lseg(X5,X6),X2))))
| heap(sep(lseg(X3,X5),sep(lseg(X5,X6),X2)))
| X5 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unfolding_5) ).
fof(f22447,plain,
heap(sep(lseg(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp)))),
inference(subsumption_resolution,[],[f22314,f14]) ).
fof(f14,axiom,
x1 != x3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_3) ).
fof(f22314,plain,
( heap(sep(lseg(x1,x3),sep(lseg(x2,x1),sep(lseg(x3,nil),emp))))
| x1 = x3 ),
inference(resolution,[],[f822,f16]) ).
fof(f16,axiom,
heap(sep(lseg(x2,x1),sep(lseg(x3,nil),sep(next(x1,x3),emp)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_5) ).
fof(f822,plain,
! [X2,X3,X0,X1,X4] :
( ~ heap(sep(X2,sep(X3,sep(next(X0,X1),X4))))
| heap(sep(lseg(X0,X1),sep(X2,sep(X3,X4))))
| X0 = X1 ),
inference(superposition,[],[f797,f20]) ).
fof(f20,plain,
! [X2,X3,X0,X1] : sep(X0,sep(X3,sep(X1,X2))) = sep(X3,sep(X1,sep(X0,X2))),
inference(superposition,[],[f1,f1]) ).
fof(f797,plain,
! [X2,X0,X1] :
( ~ heap(sep(next(X2,X0),X1))
| heap(sep(lseg(X2,X0),X1))
| X0 = X2 ),
inference(superposition,[],[f8,f2]) ).
fof(f8,axiom,
! [X2,X3,X4,X5] :
( ~ heap(sep(next(X3,X4),sep(lseg(X4,X5),X2)))
| heap(sep(lseg(X3,X5),X2))
| X3 = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unfolding_2) ).
fof(f17,axiom,
~ heap(sep(lseg(x3,nil),sep(lseg(x2,x3),emp))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).
fof(f22492,plain,
heap(sep(lseg(x2,nil),emp)),
inference(resolution,[],[f22487,f322]) ).
fof(f322,plain,
! [X2,X0,X1] :
( ~ heap(sep(lseg(X1,nil),sep(lseg(X0,X1),X2)))
| heap(sep(lseg(X0,nil),X2)) ),
inference(superposition,[],[f9,f1]) ).
fof(f9,axiom,
! [X2,X3,X4] :
( ~ heap(sep(lseg(X3,X4),sep(lseg(X4,nil),X2)))
| heap(sep(lseg(X3,nil),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unfolding_3) ).
fof(f22487,plain,
heap(sep(lseg(x1,nil),sep(lseg(x2,x1),emp))),
inference(forward_demodulation,[],[f22486,f2]) ).
fof(f22486,plain,
heap(sep(lseg(nil,nil),sep(lseg(x1,nil),sep(lseg(x2,x1),emp)))),
inference(forward_demodulation,[],[f22480,f20]) ).
fof(f22480,plain,
heap(sep(lseg(x1,nil),sep(lseg(x2,x1),sep(lseg(nil,nil),emp)))),
inference(superposition,[],[f22447,f22467]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW410-1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 02:41:19 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (3093)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (3094)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (3096)WARNING: value z3 for option sas not known
% 0.15/0.39 % (3097)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (3095)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (3099)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)
% 0.15/0.39 % (3096)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)
% 0.15/0.39 % (3098)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)
% 0.15/0.39 % (3100)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.21/0.40 TRYING [3]
% 0.21/0.42 TRYING [3]
% 0.21/0.44 TRYING [4]
% 0.21/0.52 TRYING [5]
% 0.21/0.54 TRYING [4]
% 2.07/0.69 TRYING [6]
% 5.00/1.08 TRYING [7]
% 7.74/1.49 TRYING [1]
% 7.74/1.49 TRYING [2]
% 7.74/1.50 TRYING [3]
% 8.12/1.52 TRYING [4]
% 8.41/1.59 TRYING [5]
% 9.98/1.81 TRYING [6]
% 11.30/1.97 TRYING [8]
% 13.49/2.29 TRYING [5]
% 13.49/2.32 TRYING [7]
% 23.63/3.75 TRYING [8]
% 26.35/4.12 % (3096)First to succeed.
% 26.35/4.13 % (3096)Refutation found. Thanks to Tanya!
% 26.35/4.13 % SZS status Unsatisfiable for theBenchmark
% 26.35/4.13 % SZS output start Proof for theBenchmark
% See solution above
% 26.35/4.13 % (3096)------------------------------
% 26.35/4.13 % (3096)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 26.35/4.13 % (3096)Termination reason: Refutation
% 26.35/4.13
% 26.35/4.13 % (3096)Memory used [KB]: 28722
% 26.35/4.13 % (3096)Time elapsed: 3.750 s
% 26.35/4.13 % (3096)Instructions burned: 9629 (million)
% 26.35/4.13 % (3096)------------------------------
% 26.35/4.13 % (3096)------------------------------
% 26.35/4.13 % (3093)Success in time 3.771 s
%------------------------------------------------------------------------------