%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW407-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:39:57 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.29s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 12 unt; 0 def)
% Number of atoms : 32 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).
fof(f2,axiom,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',normalization) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( ~ heap(sep(next(X0,X1),sep(lseg(X1,X2),X3)))
| X0 = X1
| heap(sep(lseg(X0,X2),X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_2) ).
fof(f11,axiom,
! [X2,X3,X0,X1,X4] :
( ~ heap(sep(lseg(X0,X1),sep(lseg(X1,X2),sep(next(X2,X3),X4))))
| heap(sep(lseg(X0,X2),sep(next(X2,X3),X4))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV013-0.ax',unfolding_4) ).
fof(f17,axiom,
x1 != x2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_5) ).
fof(f23,axiom,
heap(sep(next(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_9) ).
fof(f24,negated_conjecture,
~ heap(sep(lseg(x4,nil),sep(next(x2,x4),sep(lseg(x3,x2),emp)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_1) ).
fof(f41,plain,
~ heap(sep(lseg(x4,nil),sep(lseg(x3,x2),sep(next(x2,x4),emp)))),
inference(superposition,[],[f24,f1]) ).
fof(f45,plain,
~ heap(sep(lseg(x3,x2),sep(lseg(x4,nil),sep(next(x2,x4),emp)))),
inference(forward_demodulation,[],[f41,f1]) ).
fof(f66,plain,
heap(sep(lseg(x3,x1),sep(next(x1,x2),sep(lseg(x4,nil),sep(next(x2,x4),emp))))),
inference(forward_demodulation,[],[f23,f1]) ).
fof(f67,plain,
heap(sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x1,x2),sep(next(x2,x4),emp))))),
inference(forward_demodulation,[],[f66,f1]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ heap(sep(next(X1,X2),X0))
| X1 = X2
| heap(sep(lseg(X1,X2),X0)) ),
inference(superposition,[],[f9,f2]) ).
fof(f92,plain,
! [X2,X3,X0,X1,X4] :
( ~ heap(sep(lseg(X0,X1),sep(lseg(X2,X0),sep(next(X1,X3),X4))))
| heap(sep(lseg(X2,X1),sep(next(X1,X3),X4))) ),
inference(superposition,[],[f11,f1]) ).
fof(f166,plain,
! [X2,X3,X0,X1] :
( ~ heap(sep(X0,sep(next(X1,X2),X3)))
| X1 = X2
| heap(sep(lseg(X1,X2),sep(X0,X3))) ),
inference(superposition,[],[f76,f1]) ).
fof(f262,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ heap(sep(lseg(X4,X1),sep(lseg(X5,X4),sep(X0,sep(next(X1,X2),X3)))))
| heap(sep(lseg(X5,X1),sep(X0,sep(next(X1,X2),X3)))) ),
inference(superposition,[],[f92,f1]) ).
fof(f398,plain,
! [X2,X3,X0,X1,X4] :
( ~ heap(sep(X4,sep(X0,sep(next(X1,X2),X3))))
| X1 = X2
| heap(sep(lseg(X1,X2),sep(X4,sep(X0,X3)))) ),
inference(superposition,[],[f166,f1]) ).
fof(f925,plain,
( x1 = x2
| heap(sep(lseg(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))) ),
inference(resolution,[],[f398,f67]) ).
fof(f936,plain,
heap(sep(lseg(x1,x2),sep(lseg(x3,x1),sep(lseg(x4,nil),sep(next(x2,x4),emp))))),
inference(forward_subsumption_resolution,[],[f925,f17]) ).
fof(f937,plain,
heap(sep(lseg(x3,x2),sep(lseg(x4,nil),sep(next(x2,x4),emp)))),
inference(resolution,[],[f936,f262]) ).
fof(f942,plain,
$false,
inference(forward_subsumption_resolution,[],[f937,f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW407-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n010.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 13:50:17 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.29 % (1932977)Will run a generic schedule for satisfiability detection.
% 0.18/0.29 % (1932986)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=148175152:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.29 % (1932983)% WARNING: option uhcvi not known.
% 0.18/0.29 % (1932982)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=424106142_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.29 % (1932983)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1457515931:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.29 % (1932987)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=245966286:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.29 % (1932984)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1962341125:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.29 % (1932985)dis+10_1_sil=32000:sp=arity:random_seed=4156572573:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.29 % (1932988)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=19099229:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.29 % TRYING [1]
% 0.18/0.29 % TRYING [2]
% 0.18/0.29 % TRYING [3]
% 0.18/0.29 % TRYING [4]
% 0.18/0.29 % (1932986)Instruction limit reached!
% 0.18/0.29 % (1932986)------------------------------
% 0.18/0.29 % (1932986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.29 % (1932986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.29 % (1932986)CaDiCaL version: 2.1.3
% 0.18/0.29 % (1932986)Termination reason: Instruction limit
% 0.18/0.29 % (1932986)Termination phase: Saturation
% 0.18/0.29 % (1932986)Time elapsed: 0.035 s
% 0.18/0.29 % (1932986)Peak memory usage: 12 MB
% 0.18/0.29 % (1932986)Instructions burned: 116 (million)
% 0.18/0.29 % (1932985) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1932977-1932985"...
% 0.18/0.29 % (1932985)...printing done.
% 0.18/0.29 % (1932985)Refutation found. Thanks to Tanya!
% 0.18/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.29 % (1932985)------------------------------
% 0.18/0.29 % (1932985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.29 % (1932985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.29 % (1932985)CaDiCaL version: 2.1.3
% 0.18/0.29 % (1932985)Termination reason: Refutation
% 0.18/0.29 % (1932985)Time elapsed: 0.035 s
% 0.18/0.29 % (1932985)Peak memory usage: 12 MB
% 0.18/0.29 % (1932985)Instructions burned: 57 (million)
% 0.18/0.29 % (1932977)Success in time 0.076 s
% 0.18/0.29 % Vampire exiting
%------------------------------------------------------------------------------