%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC059+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 : n007.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 01:04:29 PM UTC 2026
% Result : Theorem 0.10s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 72 ( 16 unt; 8 def)
% Number of atoms : 242 ( 48 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 275 ( 105 ~; 108 |; 45 &)
% ( 8 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 33 ( 0 sgn 23 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax55) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ( nil != X2
& nil = X3 )
| ( neq(X3,nil)
& ( ~ neq(X2,nil)
| ~ segmentP(X3,X2) ) )
| ( ( nil != X1
| nil = X0 )
& ( ~ neq(X1,nil)
| ? [X4] :
( ssList(X4)
& neq(X4,nil)
& segmentP(X1,X4)
& segmentP(X0,X4) ) ) ) ) ) ) ) ),
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
| ( nil != X2
& nil = X3 )
| ( neq(X3,nil)
& ( ~ neq(X2,nil)
| ~ segmentP(X3,X2) ) )
| ( ( nil != X1
| nil = X0 )
& ( ~ neq(X1,nil)
| ? [X4] :
( ssList(X4)
& neq(X4,nil)
& segmentP(X1,X4)
& segmentP(X0,X4) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f172,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( nil = X2
| nil != X3 )
& ( ~ neq(X3,nil)
| ( neq(X2,nil)
& segmentP(X3,X2) ) )
& ( ( nil = X1
& nil != X0 )
| ( neq(X1,nil)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(X1,X4)
| ~ segmentP(X0,X4) ) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ( nil = X2
| nil != X3 )
& ( ~ neq(X3,nil)
| ( neq(X2,nil)
& segmentP(X3,X2) ) )
& ( ( nil = X1
& nil != X0 )
| ( neq(X1,nil)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(X1,X4)
| ~ segmentP(X0,X4) ) ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f296,plain,
( sK54 = sK56
& sK53 = sK55
& ( nil = sK55
| nil != sK56 )
& ( ~ neq(sK56,nil)
| ( neq(sK55,nil)
& segmentP(sK56,sK55) ) )
& ( ( nil = sK54
& nil != sK53 )
| ( neq(sK54,nil)
& ! [X4] :
( ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(sK54,X4)
| ~ segmentP(sK53,X4) ) ) )
& 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(f440,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f496,plain,
ssList(sK53),
inference(cnf_transformation,[],[f296]) ).
fof(f500,plain,
! [X4] :
( nil != sK53
| ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(sK54,X4)
| ~ segmentP(sK53,X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f501,plain,
( nil != sK53
| neq(sK54,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f502,plain,
! [X4] :
( nil = sK54
| ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(sK54,X4)
| ~ segmentP(sK53,X4) ),
inference(cnf_transformation,[],[f296]) ).
fof(f503,plain,
( nil = sK54
| neq(sK54,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f504,plain,
( ~ neq(sK56,nil)
| segmentP(sK56,sK55) ),
inference(cnf_transformation,[],[f296]) ).
fof(f505,plain,
( ~ neq(sK56,nil)
| neq(sK55,nil) ),
inference(cnf_transformation,[],[f296]) ).
fof(f506,plain,
( nil = sK55
| nil != sK56 ),
inference(cnf_transformation,[],[f296]) ).
fof(f507,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f296]) ).
fof(f508,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f296]) ).
fof(f509,plain,
( nil = sK56
| neq(sK56,nil) ),
inference(definition_unfolding,[],[f503,f508,f508]) ).
fof(f510,plain,
! [X4] :
( nil = sK56
| ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(sK56,X4)
| ~ segmentP(sK55,X4) ),
inference(definition_unfolding,[],[f502,f508,f508,f507]) ).
fof(f511,plain,
( nil != sK55
| neq(sK56,nil) ),
inference(definition_unfolding,[],[f501,f507,f508]) ).
fof(f512,plain,
! [X4] :
( nil != sK55
| ~ ssList(X4)
| ~ neq(X4,nil)
| ~ segmentP(sK56,X4)
| ~ segmentP(sK55,X4) ),
inference(definition_unfolding,[],[f500,f507,f508,f507]) ).
fof(f514,plain,
ssList(sK55),
inference(definition_unfolding,[],[f496,f507]) ).
fof(f682,plain,
! [X0] :
( ssList(X0)
| segmentP(X0,X0) ),
inference(consistent_polarity_flipping,[],[f440]) ).
fof(f736,plain,
( neq(sK56,nil)
| ~ neq(sK55,nil) ),
inference(consistent_polarity_flipping,[],[f505]) ).
fof(f737,plain,
( neq(sK56,nil)
| segmentP(sK56,sK55) ),
inference(consistent_polarity_flipping,[],[f504]) ).
fof(f738,plain,
( nil = sK56
| ~ neq(sK56,nil) ),
inference(consistent_polarity_flipping,[],[f509]) ).
fof(f739,plain,
! [X4] :
( nil = sK56
| ssList(X4)
| neq(X4,nil)
| ~ segmentP(sK56,X4)
| ~ segmentP(sK55,X4) ),
inference(consistent_polarity_flipping,[],[f510]) ).
fof(f740,plain,
( nil != sK55
| ~ neq(sK56,nil) ),
inference(consistent_polarity_flipping,[],[f511]) ).
fof(f741,plain,
! [X4] :
( nil != sK55
| ssList(X4)
| neq(X4,nil)
| ~ segmentP(sK56,X4)
| ~ segmentP(sK55,X4) ),
inference(consistent_polarity_flipping,[],[f512]) ).
fof(f745,plain,
~ ssList(sK55),
inference(consistent_polarity_flipping,[],[f514]) ).
fof(f754,definition,
( spl57_1
<=> ! [X4] :
( ssList(X4)
| ~ segmentP(sK55,X4)
| ~ segmentP(sK56,X4)
| neq(X4,nil) ) ),
introduced(definition,[new_symbols(definition,[spl57_1])],[avatar_definition]) ).
fof(f755,plain,
( ! [X4] :
( ~ segmentP(sK56,X4)
| ~ segmentP(sK55,X4)
| ssList(X4)
| neq(X4,nil) )
| ~ spl57_1 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f757,definition,
( spl57_2
<=> nil = sK55 ),
introduced(definition,[new_symbols(definition,[spl57_2])],[avatar_definition]) ).
fof(f760,plain,
( spl57_1
| ~ spl57_2 ),
inference(avatar_split_clause,[],[f741,f757,f754]) ).
fof(f762,definition,
( spl57_3
<=> neq(sK56,nil) ),
introduced(definition,[new_symbols(definition,[spl57_3])],[avatar_definition]) ).
fof(f765,plain,
( ~ spl57_3
| ~ spl57_2 ),
inference(avatar_split_clause,[],[f740,f757,f762]) ).
fof(f767,definition,
( spl57_4
<=> nil = sK56 ),
introduced(definition,[new_symbols(definition,[spl57_4])],[avatar_definition]) ).
fof(f770,plain,
( spl57_1
| spl57_4 ),
inference(avatar_split_clause,[],[f739,f767,f754]) ).
fof(f771,plain,
( ~ spl57_3
| spl57_4 ),
inference(avatar_split_clause,[],[f738,f767,f762]) ).
fof(f773,definition,
( spl57_5
<=> segmentP(sK56,sK55) ),
introduced(definition,[new_symbols(definition,[spl57_5])],[avatar_definition]) ).
fof(f775,plain,
( segmentP(sK56,sK55)
| ~ spl57_5 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f776,plain,
( spl57_5
| spl57_3 ),
inference(avatar_split_clause,[],[f737,f762,f773]) ).
fof(f778,definition,
( spl57_6
<=> neq(sK55,nil) ),
introduced(definition,[new_symbols(definition,[spl57_6])],[avatar_definition]) ).
fof(f781,plain,
( ~ spl57_6
| spl57_3 ),
inference(avatar_split_clause,[],[f736,f762,f778]) ).
fof(f782,plain,
( ~ spl57_4
| spl57_2 ),
inference(avatar_split_clause,[],[f506,f757,f767]) ).
fof(f821,plain,
( ~ segmentP(sK55,sK55)
| ssList(sK55)
| neq(sK55,nil)
| ~ spl57_1
| ~ spl57_5 ),
inference(resolution,[],[f755,f775]) ).
fof(f825,definition,
( spl57_13
<=> ssList(sK55) ),
introduced(definition,[new_symbols(definition,[spl57_13])],[avatar_definition]) ).
fof(f827,plain,
( ssList(sK55)
| ~ spl57_13 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f829,definition,
( spl57_14
<=> segmentP(sK55,sK55) ),
introduced(definition,[new_symbols(definition,[spl57_14])],[avatar_definition]) ).
fof(f832,plain,
( spl57_6
| spl57_13
| ~ spl57_14
| ~ spl57_1
| ~ spl57_5 ),
inference(avatar_split_clause,[],[f821,f773,f754,f829,f825,f778]) ).
fof(f835,plain,
( $false
| ~ spl57_13 ),
inference(resolution,[],[f827,f745]) ).
fof(f837,plain,
~ spl57_13,
inference(avatar_contradiction_clause,[],[f835]) ).
fof(f848,plain,
segmentP(sK55,sK55),
inference(resolution,[],[f682,f745]) ).
fof(f850,plain,
spl57_14,
inference(avatar_split_clause,[],[f848,f829]) ).
cnf(s1,plain,
( spl57_1
| ~ spl57_2 ),
inference(sat_conversion,[],[f760]) ).
cnf(s2,plain,
( ~ spl57_2
| ~ spl57_3 ),
inference(sat_conversion,[],[f765]) ).
cnf(s3,plain,
( spl57_1
| spl57_4 ),
inference(sat_conversion,[],[f770]) ).
cnf(s4,plain,
( ~ spl57_3
| spl57_4 ),
inference(sat_conversion,[],[f771]) ).
cnf(s5,plain,
( spl57_3
| spl57_5 ),
inference(sat_conversion,[],[f776]) ).
cnf(s6,plain,
( spl57_3
| ~ spl57_6 ),
inference(sat_conversion,[],[f781]) ).
cnf(s7,plain,
( spl57_2
| ~ spl57_4 ),
inference(sat_conversion,[],[f782]) ).
cnf(s16,plain,
( ~ spl57_1
| ~ spl57_5
| spl57_6
| spl57_13
| ~ spl57_14 ),
inference(sat_conversion,[],[f832]) ).
cnf(s18,plain,
~ spl57_13,
inference(sat_conversion,[],[f837]) ).
cnf(s20,plain,
spl57_14,
inference(sat_conversion,[],[f850]) ).
cnf(s21,plain,
( ~ spl57_1
| ~ spl57_5
| spl57_6 ),
inference(rat,[],[s16,s20,s18]) ).
cnf(s25,plain,
spl57_1,
inference(rat,[],[s7,s1,s3]) ).
cnf(s26,plain,
spl57_3,
inference(rat,[],[s21,s5,s6,s25]) ).
cnf(s27,plain,
spl57_4,
inference(rat,[],[s4,s26]) ).
cnf(s28,plain,
~ spl57_2,
inference(rat,[],[s2,s26]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s7,s27,s28]) ).
fof(f851,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC059+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n007.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 07:37:40 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.10/0.46 % (2226062)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (2226073)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3606606496:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % (2226068)% WARNING: option uhcvi not known.
% 0.10/0.46 % (2226073) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2226062-2226073"...
% 0.10/0.46 % (2226069)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1342619293:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (2226072)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2010869519:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.46 % (2226068)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1021882252:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % (2226070)dis+10_1_sil=32000:sp=arity:random_seed=1852961860:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (2226067)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4211758515_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % (2226071)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4130327324:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (2226073)...printing done.
% 0.10/0.46 % (2226073)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Theorem for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.46 % (2226073)------------------------------
% 0.17/0.46 % (2226073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.46 % (2226073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.46 % (2226073)CaDiCaL version: 2.1.3
% 0.17/0.46 % (2226073)Termination reason: Refutation
% 0.17/0.46 % (2226073)Time elapsed: 0.007 s
% 0.17/0.46 % (2226073)Peak memory usage: 13 MB
% 0.17/0.46 % (2226073)Instructions burned: 16 (million)
% 0.17/0.46 % (2226062)Success in time 0.035 s
% 0.17/0.46 % Vampire exiting
%------------------------------------------------------------------------------