%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS268+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 11:42:43 AM UTC 2026
% Result : Theorem 0.14s 0.47s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 67 ( 18 unt; 4 def)
% Number of atoms : 141 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 137 ( 63 ~; 45 |; 14 &)
% ( 12 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 105 ( 0 sgn 84 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',thm) ).
fof(f13,axiom,
! [X0,X1] :
( ~ ? [X2] : model(X2,X0)
<=> status(X0,X1,cax) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',cax) ).
fof(f16,axiom,
! [X0,X1] :
( ( ~ ? [X2] : model(X2,X0)
& ? [X3] : model(X3,X1)
& ? [X4] : ~ model(X4,X1) )
<=> status(X0,X1,wca) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',wca) ).
fof(f20,axiom,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X0)
& status(X2,X3,X1) )
<=> mighta(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',mighta) ).
fof(f26,axiom,
! [X0,X1] :
( model(X0,X1)
<=> ~ model(X0,not(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',not) ).
fof(f27,axiom,
? [X0] :
! [X1] : model(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',tautology) ).
fof(f31,axiom,
? [X0,X1] :
( ? [X2] : model(X2,X0)
& ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
& ? [X5] : ~ model(X5,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',mixed_pair) ).
fof(f33,conjecture,
mighta(wca,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_wca_thm) ).
fof(f34,negated_conjecture,
~ mighta(wca,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ mighta(wca,thm),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X0)
& status(X2,X3,X1) )
=> mighta(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f20]) ).
fof(f39,plain,
! [X0,X1] :
( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
<=> status(X0,X1,thm) ),
inference(ennf_transformation,[],[f5]) ).
fof(f42,plain,
! [X0,X1] :
( ! [X2] : ~ model(X2,X0)
<=> status(X0,X1,cax) ),
inference(ennf_transformation,[],[f13]) ).
fof(f45,plain,
! [X0,X1] :
( ( ! [X2] : ~ model(X2,X0)
& ? [X3] : model(X3,X1)
& ? [X4] : ~ model(X4,X1) )
<=> status(X0,X1,wca) ),
inference(ennf_transformation,[],[f16]) ).
fof(f46,plain,
! [X0,X1] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f47,plain,
? [X0,X1] :
( ? [X2] : model(X2,X0)
& ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
& ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
& ? [X5] : ~ model(X5,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f61,plain,
! [X0,X1] :
( status(X0,X1,thm)
| model(sK7(X0,X1),X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,cax)
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f99,plain,
! [X0,X1] :
( status(X0,X1,cax)
| model(sK26(X0),X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f106,plain,
! [X3,X0,X1,X4] :
( status(X0,X1,wca)
| model(X4,X1)
| ~ model(X3,X1)
| model(sK33(X0),X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,wca)
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f121,plain,
! [X2,X3,X0,X1] :
( mighta(X0,X1)
| ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f124,plain,
! [X0,X1] :
( model(X0,not(X1))
| model(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f125,plain,
! [X0,X1] :
( ~ model(X0,not(X1))
| ~ model(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f126,plain,
! [X1] : model(X1,sK39),
inference(cnf_transformation,[],[f27]) ).
fof(f133,plain,
! [X3] :
( model(X3,sK49)
| ~ model(X3,sK48) ),
inference(cnf_transformation,[],[f47]) ).
fof(f136,plain,
~ model(sK50,sK49),
inference(cnf_transformation,[],[f47]) ).
fof(f137,plain,
model(sK52,sK48),
inference(cnf_transformation,[],[f47]) ).
fof(f141,plain,
~ mighta(wca,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f153,plain,
! [X0,X1] :
( model(sK26(X0),X0)
| ~ model(X1,X0) ),
inference(resolution,[],[f99,f98]) ).
fof(f155,plain,
! [X0,X1] :
( ~ model(X1,not(X0))
| ~ model(sK26(not(X0)),X0) ),
inference(resolution,[],[f153,f125]) ).
fof(f170,plain,
! [X0,X1] :
( ~ model(sK26(not(X1)),X1)
| model(X0,X1) ),
inference(resolution,[],[f155,f124]) ).
fof(f172,plain,
! [X0] : ~ model(X0,not(sK39)),
inference(resolution,[],[f155,f126]) ).
fof(f176,definition,
( spl57_5
<=> model(sK26(not(sK49)),sK48) ),
introduced(definition,[new_symbols(definition,[spl57_5])],[avatar_definition]) ).
fof(f177,plain,
( model(sK26(not(sK49)),sK48)
| ~ spl57_5 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f178,plain,
( ~ model(sK26(not(sK49)),sK48)
| spl57_5 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f192,plain,
! [X0] :
( model(X0,sK49)
| ~ model(sK26(not(sK49)),sK48) ),
inference(resolution,[],[f170,f133]) ).
fof(f357,plain,
! [X0,X1] :
( ~ status(X0,X1,thm)
| ~ status(X0,X1,wca) ),
inference(resolution,[],[f121,f141]) ).
fof(f359,plain,
! [X0,X1] :
( ~ status(X0,X1,wca)
| model(sK7(X0,X1),X0) ),
inference(resolution,[],[f357,f61]) ).
fof(f360,plain,
! [X0,X1] : ~ status(X0,X1,wca),
inference(forward_subsumption_resolution,[],[f359,f109]) ).
fof(f416,definition,
( spl57_31
<=> ! [X2,X1,X3] :
( model(X1,X2)
| ~ model(X3,X2) ) ),
introduced(definition,[new_symbols(definition,[spl57_31])],[avatar_definition]) ).
fof(f417,plain,
( ! [X2,X3,X1] :
( model(X1,X2)
| ~ model(X3,X2) )
| ~ spl57_31 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f438,plain,
! [X2,X3,X0,X1] :
( model(X0,X1)
| ~ model(X2,X1)
| model(sK33(X3),X3) ),
inference(resolution,[],[f106,f360]) ).
fof(f451,plain,
( ! [X0] : ~ model(X0,sK48)
| spl57_5
| ~ spl57_31 ),
inference(resolution,[],[f417,f178]) ).
fof(f477,plain,
( ! [X0] : model(X0,sK48)
| ~ spl57_31 ),
inference(resolution,[],[f417,f137]) ).
fof(f494,plain,
( $false
| spl57_5
| ~ spl57_31 ),
inference(forward_subsumption_resolution,[],[f451,f477]) ).
fof(f495,plain,
( spl57_5
| ~ spl57_31 ),
inference(avatar_contradiction_clause,[],[f494]) ).
fof(f501,definition,
( spl57_37
<=> ! [X3] : model(sK33(X3),X3) ),
introduced(definition,[new_symbols(definition,[spl57_37])],[avatar_definition]) ).
fof(f502,plain,
( ! [X3] : model(sK33(X3),X3)
| ~ spl57_37 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f511,plain,
( spl57_37
| spl57_31 ),
inference(avatar_split_clause,[],[f438,f416,f501]) ).
fof(f583,definition,
( spl57_42
<=> ! [X1] : model(X1,sK49) ),
introduced(definition,[new_symbols(definition,[spl57_42])],[avatar_definition]) ).
fof(f584,plain,
( ! [X1] : model(X1,sK49)
| ~ spl57_42 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f611,plain,
( $false
| ~ spl57_42 ),
inference(resolution,[],[f584,f136]) ).
fof(f612,plain,
~ spl57_42,
inference(avatar_contradiction_clause,[],[f611]) ).
fof(f613,plain,
( ! [X0] : model(X0,sK49)
| ~ spl57_5 ),
inference(forward_subsumption_resolution,[],[f192,f177]) ).
fof(f614,plain,
( spl57_42
| ~ spl57_5 ),
inference(avatar_split_clause,[],[f613,f176,f583]) ).
fof(f724,plain,
( $false
| ~ spl57_37 ),
inference(resolution,[],[f502,f172]) ).
fof(f727,plain,
~ spl57_37,
inference(avatar_contradiction_clause,[],[f724]) ).
cnf(s56,plain,
( spl57_5
| ~ spl57_31 ),
inference(sat_conversion,[],[f495]) ).
cnf(s60,plain,
( spl57_31
| spl57_37 ),
inference(sat_conversion,[],[f511]) ).
cnf(s65,plain,
~ spl57_42,
inference(sat_conversion,[],[f612]) ).
cnf(s66,plain,
( ~ spl57_5
| spl57_42 ),
inference(sat_conversion,[],[f614]) ).
cnf(s82,plain,
~ spl57_37,
inference(sat_conversion,[],[f727]) ).
cnf(s86,plain,
~ spl57_5,
inference(rat,[],[s66,s65]) ).
cnf(s91,plain,
spl57_31,
inference(rat,[],[s60,s82]) ).
cnf(s94,plain,
$false,
inference(rat,[],[s56,s91,s86]) ).
fof(f730,plain,
$false,
inference(avatar_sat_refutation,[],[s94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS268+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 13:49:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 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
% 0.14/0.47 % (828638)Will run a generic schedule for satisfiability detection.
% 0.14/0.47 % (828643)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4089657008_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.47 % (828644)% WARNING: option uhcvi not known.
% 0.14/0.47 % TRYING [1]
% 0.14/0.47 % TRYING [2]
% 0.14/0.47 % TRYING [3]
% 0.14/0.47 % (828645)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1696066435:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.47 % (828644)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3912328449:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.47 % (828646)dis+10_1_sil=32000:sp=arity:random_seed=246170605:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.47 % (828647)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3141073384:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.47 % (828648)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3536064418:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.47 % (828649)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=604706773:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.47 % TRYING [4]
% 0.14/0.47 % TRYING [5]
% 0.14/0.47 % (828647) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-828638-828647"...
% 0.14/0.47 % (828647)...printing done.
% 0.14/0.47 % (828647)Refutation found. Thanks to Tanya!
% 0.14/0.47 % SZS status Theorem for theBenchmark
% 0.14/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.47 % (828647)------------------------------
% 0.14/0.47 % (828647)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.47 % (828647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.47 % (828647)CaDiCaL version: 2.1.3
% 0.14/0.47 % (828647)Termination reason: Refutation
% 0.14/0.47 % (828647)Time elapsed: 0.017 s
% 0.14/0.47 % (828647)Peak memory usage: 13 MB
% 0.14/0.47 % (828647)Instructions burned: 26 (million)
% 0.14/0.47 % (828638)Success in time 0.058 s
% 0.14/0.47 % Vampire exiting
%------------------------------------------------------------------------------