%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW412-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 01:39:58 PM UTC 2026
% Result : Unsatisfiable 0.45s 0.27s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 40 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 13 ~; 18 |; 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 : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).
fof(f2,axiom,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_2) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ heap(sep(lseg(X0,X1),sep(lseg(X1,nil),X2)))
| heap(sep(lseg(X0,nil),X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_3) ).
fof(f17,axiom,
x3 != x2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_4) ).
fof(f18,plain,
x2 != x3,
inference(reorient_equations,[],[f17]) ).
fof(f20,axiom,
x1 != x4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_6) ).
fof(f22,axiom,
heap(sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x1,x4),sep(next(x2,x3),emp))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_8) ).
fof(f23,negated_conjecture,
~ heap(sep(lseg(x2,nil),sep(lseg(x1,nil),emp))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( ~ heap(sep(lseg(X3,X1),sep(X0,sep(lseg(X1,nil),X2))))
| heap(sep(lseg(X3,nil),sep(X0,X2))) ),
inference(superposition,[],[f10,f1]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ heap(sep(next(X1,X2),X0))
| X1 = X2
| heap(sep(lseg(X1,X2),X0)) ),
inference(superposition,[],[f9,f2]) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( ~ heap(sep(lseg(X0,X1),sep(next(X2,X0),X3)))
| X0 = X2
| heap(sep(lseg(X2,X1),X3)) ),
inference(superposition,[],[f9,f1]) ).
fof(f161,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,[],[f63,f1]) ).
fof(f190,plain,
! [X2,X3,X0,X1,X4] :
( ~ heap(sep(lseg(X2,X4),sep(X0,sep(next(X1,X2),X3))))
| X1 = X2
| heap(sep(lseg(X1,X4),sep(X0,X3))) ),
inference(superposition,[],[f66,f1]) ).
fof(f393,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,[],[f161,f1]) ).
fof(f474,plain,
! [X2,X3,X0,X1,X4] :
( ~ heap(sep(X0,sep(lseg(X1,X2),sep(next(X3,X1),X4))))
| X1 = X3
| heap(sep(lseg(X3,X2),sep(X0,X4))) ),
inference(superposition,[],[f190,f1]) ).
fof(f920,plain,
( x1 = x4
| heap(sep(lseg(x1,x4),sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x2,x3),emp))))) ),
inference(resolution,[],[f393,f22]) ).
fof(f931,plain,
heap(sep(lseg(x1,x4),sep(lseg(x3,nil),sep(lseg(x4,nil),sep(next(x2,x3),emp))))),
inference(forward_subsumption_resolution,[],[f920,f20]) ).
fof(f932,plain,
heap(sep(lseg(x1,nil),sep(lseg(x3,nil),sep(next(x2,x3),emp)))),
inference(resolution,[],[f931,f53]) ).
fof(f944,plain,
( x2 = x3
| heap(sep(lseg(x2,nil),sep(lseg(x1,nil),emp))) ),
inference(resolution,[],[f474,f932]) ).
fof(f954,plain,
heap(sep(lseg(x2,nil),sep(lseg(x1,nil),emp))),
inference(forward_subsumption_resolution,[],[f944,f18]) ).
fof(f955,plain,
$false,
inference(forward_subsumption_resolution,[],[f954,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW412-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.16 % Computer : n013.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 13:50:06 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 Running first-order model finding
% 0.09/0.19 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.27 % (1187746)Will run a generic schedule for satisfiability detection.
% 0.45/0.27 % (1187752)% WARNING: option uhcvi not known.
% 0.45/0.27 % (1187751)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1693394672_2999 on theBenchmark for (2999ds/0Mi)
% 0.45/0.27 % (1187752)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1806141881:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.45/0.27 % (1187754)dis+10_1_sil=32000:sp=arity:random_seed=1496699199:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.45/0.27 % (1187753)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2544985456:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.45/0.27 % (1187756)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=107903985:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.45/0.27 % (1187755)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2428981756:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.45/0.27 % (1187757)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2310791964:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.45/0.27 % Detected minimum model sizes of [3]
% 0.45/0.27 % Detected maximum model sizes of [max]
% 0.45/0.27 % TRYING [3]
% 0.45/0.27 % TRYING [4]
% 0.45/0.27 % (1187754) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1187746-1187754"...
% 0.45/0.27 % (1187754)...printing done.
% 0.45/0.27 % (1187754)Refutation found. Thanks to Tanya!
% 0.45/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.45/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.45/0.27 % (1187754)------------------------------
% 0.45/0.27 % (1187754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.27 % (1187754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.27 % (1187754)CaDiCaL version: 2.1.3
% 0.45/0.27 % (1187754)Termination reason: Refutation
% 0.45/0.27 % (1187754)Time elapsed: 0.035 s
% 0.45/0.27 % (1187754)Peak memory usage: 12 MB
% 0.45/0.27 % (1187754)Instructions burned: 58 (million)
% 0.45/0.27 % (1187746)Success in time 0.074 s
% 0.45/0.27 % Vampire exiting
%------------------------------------------------------------------------------