%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC350+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 01:05:39 PM UTC 2026
% Result : Theorem 0.19s 0.27s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 81 ( 12 equ)
% Maximal formula atoms : 15 ( 7 avg)
% Number of connectives : 101 ( 31 ~; 24 |; 38 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 21 ( 11 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ neq(X1,nil)
| ~ frontsegP(X3,X2)
| ~ equalelemsP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& frontsegP(X3,X4)
& segmentP(X4,X2)
& equalelemsP(X4) )
| frontsegP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ~ neq(X1,nil)
| ~ frontsegP(X3,X2)
| ~ equalelemsP(X2)
| ? [X4] :
( ssList(X4)
& neq(X2,X4)
& frontsegP(X3,X4)
& segmentP(X4,X2)
& equalelemsP(X4) )
| frontsegP(X1,X0) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& neq(X1,nil)
& frontsegP(X3,X2)
& equalelemsP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ frontsegP(X3,X4)
| ~ segmentP(X4,X2)
| ~ equalelemsP(X4) )
& ~ frontsegP(X1,X0)
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& neq(X1,nil)
& frontsegP(X3,X2)
& equalelemsP(X2)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X2,X4)
| ~ frontsegP(X3,X4)
| ~ segmentP(X4,X2)
| ~ equalelemsP(X4) )
& ~ frontsegP(X1,X0)
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& neq(sK54,nil)
& frontsegP(sK56,sK55)
& equalelemsP(sK55)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(sK55,X4)
| ~ frontsegP(sK56,X4)
| ~ segmentP(X4,sK55)
| ~ equalelemsP(X4) )
& ~ frontsegP(sK54,sK53)
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56)],[f222]) ).
fof(f500,plain,
~ frontsegP(sK54,sK53),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
frontsegP(sK56,sK55),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
~ frontsegP(sK56,sK55),
inference(definition_unfolding,[],[f500,f506,f505]) ).
fof(f511,plain,
$false,
inference(forward_subsumption_resolution,[],[f503,f508]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC350+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n005.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 09:13:31 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.19/0.27 % (659298)Will run a generic schedule for satisfiability detection.
% 0.19/0.27 % (659303)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=385624169_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.27 % (659304)% WARNING: option uhcvi not known.
% 0.19/0.27 % (659304)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1128422451:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.27 % TRYING [1]
% 0.19/0.27 % (659305)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=978215523:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.27 % (659306)dis+10_1_sil=32000:sp=arity:random_seed=4005123508:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.27 % (659308)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2044655830:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.27 % (659307)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3762131222:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.27 % TRYING [2]
% 0.19/0.27 % (659309)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2196836642:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.27 % TRYING [3]
% 0.19/0.27 % (659308) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-659298-659308"...
% 0.19/0.27 % (659305) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-659298-659305"...
% 0.19/0.27 % (659304) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-659298-659304"...
% 0.19/0.27 % (659306) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-659298-659306"...
% 0.19/0.27 % (659308)...printing done.
% 0.19/0.27 % (659305)...printing done.
% 0.19/0.27 % (659304)...printing done.
% 0.19/0.27 % (659306)...printing done.
% 0.19/0.27 % (659308)Refutation found. Thanks to Tanya!
% 0.19/0.27 % SZS status Theorem for theBenchmark
% 0.19/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.27 % (659308)------------------------------
% 0.19/0.27 % (659308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.27 % (659308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.27 % (659308)CaDiCaL version: 2.1.3
% 0.19/0.27 % (659308)Termination reason: Refutation
% 0.19/0.27 % (659308)Time elapsed: 0.005 s
% 0.19/0.27 % (659308)Peak memory usage: 11 MB
% 0.19/0.27 % (659308)Instructions burned: 7 (million)
% 0.19/0.27 % (659298)Success in time 0.041 s
% 0.19/0.27 % Vampire exiting
%------------------------------------------------------------------------------