%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS263+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 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 39 ( 15 unt; 2 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 74 ( 37 ~; 24 |; 5 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 52 !; 10 ?)
% 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(f11,axiom,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
& ? [X3] : ~ model(X3,X0)
& ! [X4] : model(X4,X1) )
<=> status(X0,X1,wtc) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',wtc) ).
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(f27,axiom,
? [X0] :
! [X1] : model(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',tautology) ).
fof(f28,axiom,
? [X0] :
( ? [X1] : model(X1,X0)
& ? [X2] : ~ model(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',satisfiable) ).
fof(f33,conjecture,
mighta(wtc,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_wtc_thm) ).
fof(f34,negated_conjecture,
~ mighta(wtc,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ mighta(wtc,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(f46,plain,
! [X0,X1] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f62,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ model(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f87,plain,
! [X2,X3,X0,X1] :
( status(X0,X1,wtc)
| ~ model(sK19(X1),X1)
| model(X3,X0)
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f88,plain,
! [X0,X1,X4] :
( ~ status(X0,X1,wtc)
| model(X4,X1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f121,plain,
! [X2,X3,X0,X1] :
( mighta(X0,X1)
| ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f126,plain,
! [X1] : model(X1,sK39),
inference(cnf_transformation,[],[f27]) ).
fof(f127,plain,
~ model(sK41,sK40),
inference(cnf_transformation,[],[f28]) ).
fof(f128,plain,
model(sK42,sK40),
inference(cnf_transformation,[],[f28]) ).
fof(f141,plain,
~ mighta(wtc,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f357,plain,
! [X0,X1] :
( ~ status(X0,X1,thm)
| ~ status(X0,X1,wtc) ),
inference(resolution,[],[f121,f141]) ).
fof(f358,plain,
! [X0,X1] :
( ~ status(X0,X1,wtc)
| ~ model(sK7(X0,X1),X1) ),
inference(resolution,[],[f357,f62]) ).
fof(f360,plain,
! [X0,X1] : ~ status(X0,X1,wtc),
inference(forward_subsumption_resolution,[],[f358,f88]) ).
fof(f413,plain,
! [X2,X3,X0,X1] :
( ~ model(sK19(X0),X0)
| model(X1,X2)
| ~ model(X3,X2) ),
inference(resolution,[],[f87,f360]) ).
fof(f418,definition,
( spl57_31
<=> ! [X2,X1,X3] :
( model(X1,X2)
| ~ model(X3,X2) ) ),
introduced(definition,[new_symbols(definition,[spl57_31])],[avatar_definition]) ).
fof(f419,plain,
( ! [X2,X3,X1] :
( model(X1,X2)
| ~ model(X3,X2) )
| ~ spl57_31 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f428,definition,
( spl57_34
<=> ! [X0] : ~ model(sK19(X0),X0) ),
introduced(definition,[new_symbols(definition,[spl57_34])],[avatar_definition]) ).
fof(f429,plain,
( ! [X0] : ~ model(sK19(X0),X0)
| ~ spl57_34 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f435,plain,
( spl57_31
| spl57_34 ),
inference(avatar_split_clause,[],[f413,f428,f418]) ).
fof(f467,plain,
( $false
| ~ spl57_34 ),
inference(resolution,[],[f429,f126]) ).
fof(f469,plain,
~ spl57_34,
inference(avatar_contradiction_clause,[],[f467]) ).
fof(f622,plain,
( ! [X0] : ~ model(X0,sK40)
| ~ spl57_31 ),
inference(resolution,[],[f419,f127]) ).
fof(f657,plain,
( ! [X0] : model(X0,sK40)
| ~ spl57_31 ),
inference(resolution,[],[f419,f128]) ).
fof(f674,plain,
( $false
| ~ spl57_31 ),
inference(forward_subsumption_resolution,[],[f622,f657]) ).
fof(f675,plain,
~ spl57_31,
inference(avatar_contradiction_clause,[],[f674]) ).
cnf(s48,plain,
( spl57_31
| spl57_34 ),
inference(sat_conversion,[],[f435]) ).
cnf(s49,plain,
~ spl57_34,
inference(sat_conversion,[],[f469]) ).
cnf(s56,plain,
~ spl57_31,
inference(sat_conversion,[],[f675]) ).
cnf(s59,plain,
$false,
inference(rat,[],[s48,s49,s56]) ).
fof(f680,plain,
$false,
inference(avatar_sat_refutation,[],[s59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS263+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % 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 13:48:47 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 Running first-order model finding
% 0.10/0.39 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
% 0.10/0.45 % (828213)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (828220)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1721002625:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (828219)% WARNING: option uhcvi not known.
% 0.10/0.45 % (828218)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4101000637_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % (828222)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=771740863:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (828221)dis+10_1_sil=32000:sp=arity:random_seed=3182559752:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (828223)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1092832152:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % (828224)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=520903576:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % (828219)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2521803479:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.45 % TRYING [1]
% 0.10/0.45 % TRYING [2]
% 0.10/0.45 % TRYING [3]
% 0.10/0.45 % (828222) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-828213-828222"...
% 0.10/0.45 % (828222)...printing done.
% 0.10/0.45 % TRYING [4]
% 0.10/0.45 % (828222)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Theorem for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (828222)------------------------------
% 0.10/0.45 % (828222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (828222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (828222)CaDiCaL version: 2.1.3
% 0.10/0.45 % (828222)Termination reason: Refutation
% 0.10/0.45 % (828222)Time elapsed: 0.016 s
% 0.10/0.45 % (828222)Peak memory usage: 12 MB
% 0.10/0.45 % (828222)Instructions burned: 24 (million)
% 0.10/0.45 % (828213)Success in time 0.051 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------