%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS257+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 : 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 11:42:42 AM UTC 2026
% Result : Theorem 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 13 unt; 1 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 76 ( 38 ~; 25 |; 3 &)
% ( 8 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 75 ( 0 sgn 68 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ? [X2] :
( model(X2,X0)
& model(X2,X1) )
<=> status(X0,X1,sat) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',sat) ).
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(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(f33,conjecture,
mighta(sat,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_sat_thm) ).
fof(f34,negated_conjecture,
~ mighta(sat,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ mighta(sat,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(f46,plain,
! [X0,X1] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f58,plain,
! [X2,X0,X1] :
( status(X0,X1,sat)
| ~ model(X2,X1)
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f4]) ).
fof(f62,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ model(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,thm)
| ~ model(X2,X0)
| model(X2,X1) ),
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(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(f126,plain,
! [X1] : model(X1,sK39),
inference(cnf_transformation,[],[f27]) ).
fof(f141,plain,
~ mighta(sat,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f153,plain,
! [X0,X1] :
( model(sK26(X0),X0)
| ~ model(X1,X0) ),
inference(resolution,[],[f99,f98]) ).
fof(f158,plain,
! [X0,X1] :
( model(sK26(not(X1)),not(X1))
| model(X0,X1) ),
inference(resolution,[],[f153,f124]) ).
fof(f187,plain,
! [X2,X0,X1] :
( ~ model(X0,X1)
| model(X0,X2)
| ~ model(sK7(X1,X2),X2) ),
inference(resolution,[],[f63,f62]) ).
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(f357,plain,
! [X0,X1] :
( ~ status(X0,X1,thm)
| ~ status(X0,X1,sat) ),
inference(resolution,[],[f121,f141]) ).
fof(f358,plain,
! [X0,X1] :
( ~ status(X0,X1,sat)
| ~ model(sK7(X0,X1),X1) ),
inference(resolution,[],[f357,f62]) ).
fof(f364,plain,
! [X2,X0,X1] :
( ~ model(sK7(X0,X1),X1)
| ~ model(X2,X1)
| ~ model(X2,X0) ),
inference(resolution,[],[f358,f58]) ).
fof(f365,plain,
! [X2,X0,X1] :
( ~ model(sK7(X0,X1),X1)
| ~ model(X2,X0) ),
inference(forward_subsumption_resolution,[],[f364,f187]) ).
fof(f385,plain,
! [X0,X1] : ~ model(X1,X0),
inference(resolution,[],[f365,f126]) ).
fof(f400,plain,
spl57_7,
inference(avatar_split_clause,[],[f385,f217]) ).
cnf(s20,plain,
~ spl57_7,
inference(sat_conversion,[],[f263]) ).
cnf(s40,plain,
spl57_7,
inference(sat_conversion,[],[f400]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s20,s40]) ).
fof(f409,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS257+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n007.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 13:45:10 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.16/0.47 % (1425580)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (1425589)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4096714385:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.47 % (1425586)% WARNING: option uhcvi not known.
% 0.16/0.47 % (1425589) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1425580-1425589"...
% 0.16/0.47 % (1425589)...printing done.
% 0.16/0.47 % (1425585)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2127305485_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.47 % (1425586)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1211091088:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.47 % (1425587)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1165373377:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.47 % (1425589)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 % (1425589)------------------------------
% 0.16/0.47 % (1425589)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (1425589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (1425589)CaDiCaL version: 2.1.3
% 0.16/0.47 % (1425589)Termination reason: Refutation
% 0.16/0.47 % (1425589)Time elapsed: 0.006 s
% 0.16/0.47 % (1425589)Peak memory usage: 12 MB
% 0.16/0.47 % (1425589)Instructions burned: 15 (million)
% 0.16/0.47 % (1425580)Success in time 0.042 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------