%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC020+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 01:04:19 PM UTC 2026
% Result : Theorem 0.12s 0.46s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 48 ( 9 unt; 4 def)
% Number of atoms : 168 ( 42 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 192 ( 72 ~; 67 |; 40 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 26 ( 0 sgn 16 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax42) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ? [X4] :
( ssList(X4)
& neq(X4,nil)
& frontsegP(X1,X4)
& frontsegP(X0,X4) )
| ( nil = X1
& nil = X0 )
| ( ( nil != X3
| nil != X2 )
& ( ~ neq(X2,nil)
| ~ frontsegP(X3,X2) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ? [X4] :
( ssList(X4)
& neq(X4,nil)
& frontsegP(X1,X4)
& frontsegP(X0,X4) )
| ( nil = X1
& nil = X0 )
| ( ( nil != X3
| nil != X2 )
& ( ~ neq(X2,nil)
| ~ frontsegP(X3,X2) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f153,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ frontsegP(X1,X4)
| ~ frontsegP(X0,X4) )
& ( nil != X1
| nil != X0 )
& ( ( nil = X3
& nil = X2 )
| ( neq(X2,nil)
& frontsegP(X3,X2) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ frontsegP(X1,X4)
| ~ frontsegP(X0,X4) )
& ( nil != X1
| nil != X0 )
& ( ( nil = X3
& nil = X2 )
| ( neq(X2,nil)
& frontsegP(X3,X2) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ frontsegP(sK54,X4)
| ~ frontsegP(sK53,X4) )
& ( nil != sK54
| nil != sK53 )
& ( ( nil = sK56
& nil = sK55 )
| ( neq(sK55,nil)
& frontsegP(sK56,sK55) ) )
& 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(f423,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f498,plain,
ssList(sK55),
inference(cnf_transformation,[],[f296]) ).
fof(f500,plain,
( nil = sK55
| frontsegP(sK56,sK55) ),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
( nil = sK55
| neq(sK55,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
( nil = sK56
| frontsegP(sK56,sK55) ),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
( nil = sK56
| neq(sK55,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
( nil != sK54
| nil != sK53 ),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ frontsegP(sK54,X4)
| ~ frontsegP(sK53,X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
! [X4] :
( ~ frontsegP(sK56,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ frontsegP(sK55,X4) ),
inference(definition_unfolding,[],[f505,f507,f506]) ).
fof(f509,plain,
( nil != sK56
| nil != sK55 ),
inference(definition_unfolding,[],[f504,f507,f506]) ).
fof(f547,definition,
( spl57_1
<=> frontsegP(sK56,sK55) ),
introduced(definition,[new_symbols(definition,[spl57_1])],[avatar_definition]) ).
fof(f549,plain,
( frontsegP(sK56,sK55)
| ~ spl57_1 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f551,definition,
( spl57_2
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl57_2])],[avatar_definition]) ).
fof(f554,plain,
( spl57_1
| spl57_2 ),
inference(avatar_split_clause,[],[f500,f551,f547]) ).
fof(f556,definition,
( spl57_3
<=> neq(sK55,nil) ),
introduced(definition,[new_symbols(definition,[spl57_3])],[avatar_definition]) ).
fof(f558,plain,
( neq(sK55,nil)
| ~ spl57_3 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f559,plain,
( spl57_3
| spl57_2 ),
inference(avatar_split_clause,[],[f501,f551,f556]) ).
fof(f561,definition,
( spl57_4
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl57_4])],[avatar_definition]) ).
fof(f564,plain,
( spl57_1
| spl57_4 ),
inference(avatar_split_clause,[],[f502,f561,f547]) ).
fof(f565,plain,
( spl57_3
| spl57_4 ),
inference(avatar_split_clause,[],[f503,f561,f556]) ).
fof(f566,plain,
( ~ spl57_2
| ~ spl57_4 ),
inference(avatar_split_clause,[],[f509,f561,f551]) ).
fof(f602,plain,
( ~ neq(sK55,nil)
| ~ ssList(sK55)
| ~ frontsegP(sK55,sK55)
| ~ spl57_1 ),
inference(resolution,[],[f508,f549]) ).
fof(f603,plain,
( ~ ssList(sK55)
| ~ frontsegP(sK55,sK55)
| ~ spl57_1
| ~ spl57_3 ),
inference(forward_subsumption_resolution,[],[f602,f558]) ).
fof(f604,plain,
( ~ frontsegP(sK55,sK55)
| ~ spl57_1
| ~ spl57_3 ),
inference(forward_subsumption_resolution,[],[f603,f498]) ).
fof(f642,plain,
( ~ ssList(sK55)
| ~ spl57_1
| ~ spl57_3 ),
inference(resolution,[],[f423,f604]) ).
fof(f644,plain,
( $false
| ~ spl57_1
| ~ spl57_3 ),
inference(forward_subsumption_resolution,[],[f642,f498]) ).
fof(f645,plain,
( ~ spl57_1
| ~ spl57_3 ),
inference(avatar_contradiction_clause,[],[f644]) ).
cnf(s1,plain,
( spl57_1
| spl57_2 ),
inference(sat_conversion,[],[f554]) ).
cnf(s2,plain,
( spl57_2
| spl57_3 ),
inference(sat_conversion,[],[f559]) ).
cnf(s3,plain,
( spl57_1
| spl57_4 ),
inference(sat_conversion,[],[f564]) ).
cnf(s4,plain,
( spl57_3
| spl57_4 ),
inference(sat_conversion,[],[f565]) ).
cnf(s5,plain,
( ~ spl57_2
| ~ spl57_4 ),
inference(sat_conversion,[],[f566]) ).
cnf(s15,plain,
( ~ spl57_1
| ~ spl57_3 ),
inference(sat_conversion,[],[f645]) ).
cnf(s21,plain,
spl57_1,
inference(rat,[],[s5,s1,s3]) ).
cnf(s22,plain,
~ spl57_3,
inference(rat,[],[s15,s21]) ).
cnf(s23,plain,
spl57_4,
inference(rat,[],[s4,s22]) ).
cnf(s24,plain,
spl57_2,
inference(rat,[],[s2,s22]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s5,s23,s24]) ).
fof(f656,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC020+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n006.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 07:27:40 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 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
% 0.12/0.46 % (3795984)Will run a generic schedule for satisfiability detection.
% 0.12/0.46 % (3795990)% WARNING: option uhcvi not known.
% 0.12/0.46 % (3795989)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4138399738_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.46 % (3795991)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=946323575:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.46 % (3795993)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=333034442:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.46 % (3795992)dis+10_1_sil=32000:sp=arity:random_seed=322548934:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.46 % (3795994)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1560857385:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.46 % (3795995)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1819558476:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.46 % (3795990)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1098192074:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.46 % (3795992) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3795984-3795992"...
% 0.12/0.46 % (3795994) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3795984-3795994"...
% 0.12/0.46 % (3795992)...printing done.
% 0.12/0.46 % (3795994)...printing done.
% 0.12/0.46 % (3795992)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Theorem for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.46 % (3795992)------------------------------
% 0.12/0.46 % (3795992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.46 % (3795992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.46 % (3795992)CaDiCaL version: 2.1.3
% 0.12/0.46 % (3795992)Termination reason: Refutation
% 0.12/0.46 % (3795992)Time elapsed: 0.007 s
% 0.12/0.46 % (3795992)Peak memory usage: 12 MB
% 0.12/0.46 % (3795992)Instructions burned: 11 (million)
% 0.12/0.46 % (3795984)Success in time 0.045 s
% 0.12/0.46 % Vampire exiting
%------------------------------------------------------------------------------