%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW421-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 01:30:18 PM UTC 2026
% Result : Unsatisfiable 2.73s 1.16s
% Output : Refutation 2.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 8 unt; 0 def)
% Number of atoms : 13 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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/theBenchmark.p',unfolding_2) ).
fof(f14,axiom,
x2 != x1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).
fof(f15,plain,
x1 != x2,
inference(reorient_equations,[],[f14]) ).
fof(f17,axiom,
heap(sep(lseg(x2,x3),sep(next(x1,x2),emp))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_4) ).
fof(f18,negated_conjecture,
~ heap(sep(lseg(x1,x3),emp)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).
fof(f27,plain,
heap(sep(next(x1,x2),sep(lseg(x2,x3),emp))),
inference(superposition,[],[f17,f1]) ).
fof(f58,plain,
( x1 = x2
| heap(sep(lseg(x1,x3),emp)) ),
inference(resolution,[],[f9,f27]) ).
fof(f64,plain,
heap(sep(lseg(x1,x3),emp)),
inference(forward_subsumption_resolution,[],[f58,f15]) ).
fof(f65,plain,
$false,
inference(forward_subsumption_resolution,[],[f64,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW421-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n005.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 13:51:02 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.73/1.16 % (791552)Input is clausal, will run a generic CNF schedule.
% 2.73/1.16 % (791562)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=170973450:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.73/1.16 % (791562)First to succeed.
% 2.73/1.16 % (791562)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-791552"
% 2.73/1.16 % (791558)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1002842393:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.73/1.16 % (791560)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3931923848:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.73/1.16 % (791561)lrs+10_1_sil=8000:sp=occurrence:random_seed=3616083483:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.73/1.16 % (791559)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3628911319:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.73/1.16 % (791563)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=879871907:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.73/1.16 % (791564)dis-21_1_sil=8000:lcm=predicate:random_seed=2430805482:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.73/1.16 % (791564)Refutation not found, incomplete strategy
% 2.73/1.16 % (791564)------------------------------
% 2.73/1.16 % (791564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.16 % (791564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.16 % (791564)CaDiCaL version: 2.1.3
% 2.73/1.16 % (791564)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.16 % (791564)Time elapsed: 0.002 s
% 2.73/1.16 % (791564)Peak memory usage: 88 MB
% 2.73/1.16 % (791564)Instructions burned: 2 (million)
% 2.73/1.16 % (791561)Also succeeded, but the first one will report.
% 2.73/1.16 % (791563)Also succeeded, but the first one will report.
% 2.73/1.16 % (791562)Refutation found. Thanks to Tanya!
% 2.73/1.16 % SZS status Unsatisfiable for theBenchmark
% 2.73/1.16 % SZS output start Proof for theBenchmark
% See solution above
% 2.73/1.16 % (791562)------------------------------
% 2.73/1.16 % (791562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.16 % (791562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.16 % (791562)CaDiCaL version: 2.1.3
% 2.73/1.16 % (791562)Termination reason: Refutation
% 2.73/1.16 % (791562)Time elapsed: 0.002 s
% 2.73/1.16 % (791562)Peak memory usage: 88 MB
% 2.73/1.16 % (791562)Instructions burned: 3 (million)
% 2.73/1.16 % (791562)------------------------------
% 2.73/1.16 % (791562)------------------------------
% 2.73/1.16 % (791552)Success in time 0.292 s
% 2.73/1.16 % Vampire exiting
%------------------------------------------------------------------------------