%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWC392+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 : n015.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 01:05:51 PM UTC 2026
% Result : Theorem 0.27s 0.48s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 9
% Syntax : Number of formulae : 64 ( 19 unt; 5 def)
% Number of atoms : 222 ( 45 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 242 ( 84 ~; 101 |; 34 &)
% ( 7 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 48 ( 0 sgn 34 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax37) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X1 != X3
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X0,X4)
| memberP(X1,X4) ) )
| ( ! [X5] :
( ssItem(X5)
=> ( cons(X5,nil) != X2
| ~ memberP(X3,X5)
| ? [X6] :
( ssItem(X6)
& X5 != X6
& memberP(X3,X6)
& leq(X6,X5) ) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
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
| ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X0,X4)
| memberP(X1,X4) ) )
| ( ! [X5] :
( ssItem(X5)
=> ( cons(X5,nil) != X2
| ~ memberP(X3,X5)
| ? [X6] :
( ssItem(X6)
& X5 != X6
& memberP(X3,X6)
& leq(X6,X5) ) ) )
& ( nil != X3
| nil != X2 ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f148,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f221,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X1 = X3
& X0 = X2
& ? [X4] :
( memberP(X0,X4)
& ~ memberP(X1,X4)
& ssItem(X4) )
& ( ? [X5] :
( cons(X5,nil) = X2
& memberP(X3,X5)
& ! [X6] :
( ~ ssItem(X6)
| X5 = X6
| ~ memberP(X3,X6)
| ~ leq(X6,X5) )
& ssItem(X5) )
| ( nil = X3
& nil = 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] :
( memberP(X0,X4)
& ~ memberP(X1,X4)
& ssItem(X4) )
& ( ? [X5] :
( cons(X5,nil) = X2
& memberP(X3,X5)
& ! [X6] :
( ~ ssItem(X6)
| X5 = X6
| ~ memberP(X3,X6)
| ~ leq(X6,X5) )
& ssItem(X5) )
| ( nil = X3
& nil = X2 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f221]) ).
fof(f306,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f333,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f336,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f416,plain,
( nil = sK49
| ssItem(sK52) ),
inference(cnf_transformation,[],[f222]) ).
fof(f417,plain,
( nil = sK49
| memberP(sK50,sK52) ),
inference(cnf_transformation,[],[f222]) ).
fof(f418,plain,
( nil = sK49
| sK49 = cons(sK52,nil) ),
inference(cnf_transformation,[],[f222]) ).
fof(f419,plain,
ssItem(sK51),
inference(cnf_transformation,[],[f222]) ).
fof(f420,plain,
~ memberP(sK48,sK51),
inference(cnf_transformation,[],[f222]) ).
fof(f421,plain,
memberP(sK47,sK51),
inference(cnf_transformation,[],[f222]) ).
fof(f423,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f222]) ).
fof(f424,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f222]) ).
fof(f430,plain,
memberP(sK49,sK51),
inference(definition_unfolding,[],[f421,f423]) ).
fof(f431,plain,
~ memberP(sK50,sK51),
inference(definition_unfolding,[],[f420,f424]) ).
fof(f533,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| ssItem(X1)
| ~ ssList(X2)
| memberP(X2,X0)
| X0 = X1
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f333]) ).
fof(f534,plain,
! [X0] :
( ~ memberP(nil,X0)
| ssItem(X0) ),
inference(consistent_polarity_flipping,[],[f336]) ).
fof(f583,plain,
~ ssItem(sK51),
inference(consistent_polarity_flipping,[],[f419]) ).
fof(f584,plain,
( nil = sK49
| ~ ssItem(sK52) ),
inference(consistent_polarity_flipping,[],[f416]) ).
fof(f599,definition,
( spl53_2
<=> nil = sK49 ),
introduced(definition,[new_symbols(definition,[spl53_2])],[avatar_definition]) ).
fof(f601,plain,
( nil = sK49
| ~ spl53_2 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f609,definition,
( spl53_4
<=> ssItem(sK52) ),
introduced(definition,[new_symbols(definition,[spl53_4])],[avatar_definition]) ).
fof(f611,plain,
( ~ ssItem(sK52)
| spl53_4 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f614,definition,
( spl53_5
<=> memberP(sK50,sK52) ),
introduced(definition,[new_symbols(definition,[spl53_5])],[avatar_definition]) ).
fof(f616,plain,
( memberP(sK50,sK52)
| ~ spl53_5 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f619,definition,
( spl53_6
<=> sK49 = cons(sK52,nil) ),
introduced(definition,[new_symbols(definition,[spl53_6])],[avatar_definition]) ).
fof(f621,plain,
( sK49 = cons(sK52,nil)
| ~ spl53_6 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f623,plain,
( ~ spl53_4
| spl53_2 ),
inference(avatar_split_clause,[],[f584,f599,f609]) ).
fof(f624,plain,
( spl53_5
| spl53_2 ),
inference(avatar_split_clause,[],[f417,f599,f614]) ).
fof(f625,plain,
( spl53_6
| spl53_2 ),
inference(avatar_split_clause,[],[f418,f599,f619]) ).
fof(f631,definition,
( spl53_8
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[spl53_8])],[avatar_definition]) ).
fof(f632,plain,
( ssList(nil)
| ~ spl53_8 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f660,plain,
spl53_8,
inference(avatar_split_clause,[],[f306,f631]) ).
fof(f661,plain,
( memberP(nil,sK51)
| ~ spl53_2 ),
inference(superposition,[],[f430,f601]) ).
fof(f672,plain,
( ssItem(sK51)
| ~ spl53_2 ),
inference(resolution,[],[f534,f661]) ).
fof(f673,plain,
( $false
| ~ spl53_2 ),
inference(forward_subsumption_resolution,[],[f672,f583]) ).
fof(f674,plain,
~ spl53_2,
inference(avatar_contradiction_clause,[],[f673]) ).
fof(f1912,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ssItem(sK52)
| ~ ssList(nil)
| memberP(nil,X0)
| sK52 = X0
| ssItem(X0) )
| ~ spl53_6 ),
inference(superposition,[],[f533,f621]) ).
fof(f1918,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| ~ ssList(nil)
| memberP(nil,X0)
| sK52 = X0
| ssItem(X0) )
| spl53_4
| ~ spl53_6 ),
inference(forward_subsumption_resolution,[],[f1912,f611]) ).
fof(f1921,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| memberP(nil,X0)
| sK52 = X0
| ssItem(X0) )
| spl53_4
| ~ spl53_6
| ~ spl53_8 ),
inference(forward_subsumption_resolution,[],[f1918,f632]) ).
fof(f1923,plain,
( ! [X0] :
( ~ memberP(sK49,X0)
| sK52 = X0
| ssItem(X0) )
| spl53_4
| ~ spl53_6
| ~ spl53_8 ),
inference(forward_subsumption_resolution,[],[f1921,f534]) ).
fof(f3302,plain,
( sK51 = sK52
| ssItem(sK51)
| spl53_4
| ~ spl53_6
| ~ spl53_8 ),
inference(resolution,[],[f1923,f430]) ).
fof(f3304,plain,
( sK51 = sK52
| spl53_4
| ~ spl53_6
| ~ spl53_8 ),
inference(forward_subsumption_resolution,[],[f3302,f583]) ).
fof(f4076,plain,
( ~ memberP(sK50,sK52)
| spl53_4
| ~ spl53_6
| ~ spl53_8 ),
inference(superposition,[],[f431,f3304]) ).
fof(f4087,plain,
( $false
| spl53_4
| ~ spl53_5
| ~ spl53_6
| ~ spl53_8 ),
inference(forward_subsumption_resolution,[],[f4076,f616]) ).
fof(f4088,plain,
( spl53_4
| ~ spl53_5
| ~ spl53_6
| ~ spl53_8 ),
inference(avatar_contradiction_clause,[],[f4087]) ).
cnf(s6,plain,
( spl53_2
| ~ spl53_4 ),
inference(sat_conversion,[],[f623]) ).
cnf(s7,plain,
( spl53_2
| spl53_5 ),
inference(sat_conversion,[],[f624]) ).
cnf(s8,plain,
( spl53_2
| spl53_6 ),
inference(sat_conversion,[],[f625]) ).
cnf(s17,plain,
spl53_8,
inference(sat_conversion,[],[f660]) ).
cnf(s21,plain,
~ spl53_2,
inference(sat_conversion,[],[f674]) ).
cnf(s251,plain,
( spl53_4
| ~ spl53_5
| ~ spl53_6
| ~ spl53_8 ),
inference(sat_conversion,[],[f4088]) ).
cnf(s302,plain,
spl53_6,
inference(rat,[],[s8,s21]) ).
cnf(s303,plain,
spl53_5,
inference(rat,[],[s7,s21]) ).
cnf(s304,plain,
spl53_4,
inference(rat,[],[s251,s17,s302,s303]) ).
cnf(s305,plain,
$false,
inference(rat,[],[s6,s304,s21]) ).
fof(f4089,plain,
$false,
inference(avatar_sat_refutation,[],[s305]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC392+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.25 % Computer : n015.cluster.edu
% 0.10/0.25 % Model : x86_64 x86_64
% 0.10/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.25 % Memory : 8046.5625MB
% 0.10/0.25 % OS : Linux 6.8.0-71-generic
% 0.10/0.25 % CPULimit : 300
% 0.10/0.25 % WCLimit : 300
% 0.10/0.25 % DateTime : Mon Sep 28 09:29:47 UTC 2026
% 0.10/0.26 % CPUTime :
% 0.10/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.31 Running first-order model finding
% 0.24/0.31 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
% 0.27/0.48 % (2499437)Will run a generic schedule for satisfiability detection.
% 0.27/0.48 % (2499447)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3563664090:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.27/0.48 % (2499443)% WARNING: option uhcvi not known.
% 0.27/0.48 % (2499442)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3182718224_2999 on theBenchmark for (2999ds/0Mi)
% 0.27/0.48 % (2499443)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1213378817:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.27/0.48 % (2499445)dis+10_1_sil=32000:sp=arity:random_seed=3947205708:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.27/0.48 % (2499448)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3634432009:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.27/0.48 % (2499446)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3146266142:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.27/0.48 % (2499444)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2426435584:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.27/0.48 % TRYING [1]
% 0.27/0.48 % TRYING [2]
% 0.27/0.48 % TRYING [3]
% 0.27/0.48 % (2499447)Instruction limit reached!
% 0.27/0.48 % (2499447)------------------------------
% 0.27/0.48 % (2499447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.48 % (2499447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.48 % (2499447)CaDiCaL version: 2.1.3
% 0.27/0.48 % (2499447)Termination reason: Instruction limit
% 0.27/0.48 % (2499447)Termination phase: Saturation
% 0.27/0.48 % (2499447)Time elapsed: 0.065 s
% 0.27/0.48 % (2499447)Peak memory usage: 14 MB
% 0.27/0.48 % (2499447)Instructions burned: 132 (million)
% 0.27/0.48 % TRYING [4]
% 0.27/0.48 % (2499456)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1593898213:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.27/0.48 % TRYING [1]
% 0.27/0.48 % TRYING [2]
% 0.27/0.48 % TRYING [3]
% 0.27/0.48 % (2499445)Instruction limit reached!
% 0.27/0.48 % (2499445)------------------------------
% 0.27/0.48 % (2499445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.48 % (2499445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.48 % (2499445)CaDiCaL version: 2.1.3
% 0.27/0.48 % (2499445)Termination reason: Instruction limit
% 0.27/0.48 % (2499445)Termination phase: Saturation
% 0.27/0.48 % (2499445)Time elapsed: 0.098 s
% 0.27/0.48 % (2499445)Peak memory usage: 13 MB
% 0.27/0.48 % (2499445)Instructions burned: 103 (million)
% 0.27/0.48 % (2499443) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2499437-2499443"...
% 0.27/0.48 % (2499443)...printing done.
% 0.27/0.48 % (2499446)Instruction limit reached!
% 0.27/0.48 % (2499446)------------------------------
% 0.27/0.48 % (2499446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.48 % (2499446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.48 % (2499446)CaDiCaL version: 2.1.3
% 0.27/0.48 % (2499446)Termination reason: Instruction limit
% 0.27/0.48 % (2499446)Termination phase: Saturation
% 0.27/0.48 % (2499446)Time elapsed: 0.113 s
% 0.27/0.48 % (2499446)Peak memory usage: 13 MB
% 0.27/0.48 % (2499446)Instructions burned: 117 (million)
% 0.27/0.48 % TRYING [4]
% 0.27/0.48 % (2499443)Refutation found. Thanks to Tanya!
% 0.27/0.48 % SZS status Theorem for theBenchmark
% 0.27/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/0.48 % (2499443)------------------------------
% 0.27/0.48 % (2499443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.48 % (2499443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.48 % (2499443)CaDiCaL version: 2.1.3
% 0.27/0.48 % (2499443)Termination reason: Refutation
% 0.27/0.48 % (2499443)Time elapsed: 0.111 s
% 0.27/0.48 % (2499443)Peak memory usage: 15 MB
% 0.27/0.48 % (2499443)Instructions burned: 114 (million)
% 0.27/0.48 % (2499437)Success in time 0.154 s
% 0.27/0.48 % Vampire exiting
%------------------------------------------------------------------------------