%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS266+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 53 ( 14 unt; 3 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 106 ( 50 ~; 39 |; 4 &)
% ( 11 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 91 ( 0 sgn 82 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',thm) ).
fof(f13,axiom,
! [X0,X1] :
( ~ ? [X2] : model(X2,X0)
<=> status(X0,X1,cax) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',cax) ).
fof(f14,axiom,
! [X0,X1] :
( ( ~ ? [X2] : model(X2,X0)
& ? [X3] : model(X3,X1) )
<=> status(X0,X1,sca) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',sca) ).
fof(f20,axiom,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X0)
& status(X2,X3,X1) )
<=> mighta(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',mighta) ).
fof(f26,axiom,
! [X0,X1] :
( model(X0,X1)
<=> ~ model(X0,not(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',not) ).
fof(f27,axiom,
? [X0] :
! [X1] : model(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',tautology) ).
fof(f33,conjecture,
mighta(sca,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_sca_thm) ).
fof(f34,negated_conjecture,
~ mighta(sca,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ mighta(sca,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(f43,plain,
! [X0,X1] :
( ( ! [X2] : ~ model(X2,X0)
& ? [X3] : model(X3,X1) )
<=> status(X0,X1,sca) ),
inference(ennf_transformation,[],[f14]) ).
fof(f46,plain,
! [X0,X1] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) ) ),
inference(ennf_transformation,[],[f36]) ).
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(f100,plain,
! [X3,X0,X1] :
( status(X0,X1,sca)
| ~ model(X3,X1)
| model(sK28(X0),X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f102,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,sca)
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f43]) ).
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(f141,plain,
~ mighta(sca,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(f158,plain,
! [X0,X1] :
( model(sK26(not(X1)),not(X1))
| model(X0,X1) ),
inference(resolution,[],[f153,f124]) ).
fof(f172,plain,
! [X0] : ~ model(X0,not(sK39)),
inference(resolution,[],[f155,f126]) ).
fof(f217,definition,
( spl57_7
<=> ! [X2,X1] : ~ model(X1,X2) ),
introduced(definition,[new_symbols(definition,[spl57_7])],[avatar_definition]) ).
fof(f218,plain,
( ! [X2,X1] : ~ model(X1,X2)
| ~ spl57_7 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f230,plain,
( ! [X1] : model(sK26(not(X1)),not(X1))
| ~ spl57_7 ),
inference(resolution,[],[f218,f158]) ).
fof(f262,plain,
( $false
| ~ spl57_7 ),
inference(forward_subsumption_resolution,[],[f230,f218]) ).
fof(f263,plain,
~ spl57_7,
inference(avatar_contradiction_clause,[],[f262]) ).
fof(f332,plain,
! [X2,X3,X0,X1] :
( ~ model(X0,X1)
| model(sK28(X2),X2)
| ~ model(X3,X2) ),
inference(resolution,[],[f100,f102]) ).
fof(f334,definition,
( spl57_20
<=> ! [X2,X3] :
( model(sK28(X2),X2)
| ~ model(X3,X2) ) ),
introduced(definition,[new_symbols(definition,[spl57_20])],[avatar_definition]) ).
fof(f335,plain,
( ! [X2,X3] :
( model(sK28(X2),X2)
| ~ model(X3,X2) )
| ~ spl57_20 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f336,plain,
( spl57_20
| spl57_7 ),
inference(avatar_split_clause,[],[f332,f217,f334]) ).
fof(f338,definition,
( spl57_21
<=> ! [X2] : model(sK28(X2),X2) ),
introduced(definition,[new_symbols(definition,[spl57_21])],[avatar_definition]) ).
fof(f339,plain,
( ! [X2] : model(sK28(X2),X2)
| ~ spl57_21 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f348,plain,
( $false
| ~ spl57_21 ),
inference(resolution,[],[f339,f172]) ).
fof(f351,plain,
~ spl57_21,
inference(avatar_contradiction_clause,[],[f348]) ).
fof(f357,plain,
! [X0,X1] :
( ~ status(X0,X1,sca)
| ~ status(X0,X1,thm) ),
inference(resolution,[],[f121,f141]) ).
fof(f358,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,thm)
| ~ model(X2,X1)
| model(sK28(X0),X0) ),
inference(resolution,[],[f357,f100]) ).
fof(f364,plain,
! [X2,X0,X1] :
( ~ model(X0,X1)
| model(sK28(X2),X2)
| model(sK7(X2,X1),X2) ),
inference(resolution,[],[f358,f61]) ).
fof(f365,plain,
( ! [X2,X0,X1] :
( ~ model(X0,X1)
| model(sK28(X2),X2) )
| ~ spl57_20 ),
inference(forward_subsumption_resolution,[],[f364,f335]) ).
fof(f366,plain,
( spl57_21
| spl57_7
| ~ spl57_20 ),
inference(avatar_split_clause,[],[f365,f334,f217,f338]) ).
cnf(s20,plain,
~ spl57_7,
inference(sat_conversion,[],[f263]) ).
cnf(s32,plain,
( spl57_7
| spl57_20 ),
inference(sat_conversion,[],[f336]) ).
cnf(s35,plain,
~ spl57_21,
inference(sat_conversion,[],[f351]) ).
cnf(s37,plain,
( spl57_7
| ~ spl57_20
| spl57_21 ),
inference(sat_conversion,[],[f366]) ).
cnf(s43,plain,
~ spl57_20,
inference(rat,[],[s37,s35,s20]) ).
cnf(s47,plain,
$false,
inference(rat,[],[s32,s43,s20]) ).
fof(f367,plain,
$false,
inference(avatar_sat_refutation,[],[s47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS266+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n026.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 13:50:56 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.16/0.47 % (2861685)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (2861692)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2441489420:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (2861691)% WARNING: option uhcvi not known.
% 0.16/0.47 % (2861690)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4242680974_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % (2861691)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1705773576:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (2861693)dis+10_1_sil=32000:sp=arity:random_seed=3067124832:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.47 % (2861694)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1996493306:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (2861696)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1095186986:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % (2861695)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1195028643:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.47 % TRYING [1]
% 0.16/0.47 % TRYING [2]
% 0.16/0.47 % (2861694) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2861685-2861694"...
% 0.16/0.47 % TRYING [3]
% 0.16/0.47 % (2861694)...printing done.
% 0.16/0.47 % (2861694)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Theorem for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (2861694)------------------------------
% 0.16/0.47 % (2861694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (2861694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (2861694)CaDiCaL version: 2.1.3
% 0.16/0.47 % (2861694)Termination reason: Refutation
% 0.16/0.47 % (2861694)Time elapsed: 0.010 s
% 0.16/0.47 % (2861694)Peak memory usage: 12 MB
% 0.16/0.47 % (2861694)Instructions burned: 15 (million)
% 0.16/0.47 % (2861685)Success in time 0.046 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------