%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS261+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 : n003.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 0.43s 0.54s
% Output : Refutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 58 ( 17 unt; 5 def)
% Number of atoms : 135 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 127 ( 50 ~; 60 |; 5 &)
% ( 10 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 6 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn 51 !; 9 ?)
% 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(f9,axiom,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
& ? [X3] : ~ model(X3,X0)
& ! [X4] :
( model(X4,X0)
<=> model(X4,X1) ) )
<=> status(X0,X1,eth) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',eth) ).
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(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(eth,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_eth_thm) ).
fof(f34,negated_conjecture,
~ mighta(eth,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ mighta(eth,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(f61,plain,
! [X0,X1] :
( model(sK7(X0,X1),X0)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f39]) ).
fof(f62,plain,
! [X0,X1] :
( ~ model(sK7(X0,X1),X1)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f39]) ).
fof(f80,plain,
! [X2,X3,X0,X1] :
( ~ model(X2,X0)
| model(sK15(X0,X1),X1)
| model(sK15(X0,X1),X0)
| model(X3,X0)
| status(X0,X1,eth) ),
inference(cnf_transformation,[],[f9]) ).
fof(f81,plain,
! [X2,X3,X0,X1] :
( ~ model(sK15(X0,X1),X1)
| status(X0,X1,eth)
| ~ model(sK15(X0,X1),X0)
| model(X3,X0)
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f121,plain,
! [X2,X3,X0,X1] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0)
| mighta(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f127,plain,
~ model(sK41,sK40),
inference(cnf_transformation,[],[f28]) ).
fof(f128,plain,
model(sK42,sK40),
inference(cnf_transformation,[],[f28]) ).
fof(f141,plain,
~ mighta(eth,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f151,plain,
! [X0] :
( status(X0,X0,thm)
| status(X0,X0,thm) ),
inference(resolution,[],[f62,f61]) ).
fof(f153,plain,
! [X0] : status(X0,X0,thm),
inference(duplicate_literal_removal,[],[f151]) ).
fof(f159,plain,
! [X0,X1] :
( ~ status(X0,X0,X1)
| mighta(X1,thm) ),
inference(resolution,[],[f121,f153]) ).
fof(f192,definition,
( spl57_9
<=> ! [X1] : model(X1,sK40) ),
introduced(definition,[new_symbols(definition,[spl57_9])],[avatar_definition]) ).
fof(f193,plain,
( ! [X1] : model(X1,sK40)
| ~ spl57_9 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,definition,
( spl57_10
<=> ! [X0] :
( model(sK15(sK40,X0),X0)
| status(sK40,X0,eth)
| model(sK15(sK40,X0),sK40) ) ),
introduced(definition,[new_symbols(definition,[spl57_10])],[avatar_definition]) ).
fof(f196,plain,
( ! [X0] :
( model(sK15(sK40,X0),sK40)
| model(sK15(sK40,X0),X0)
| status(sK40,X0,eth) )
| ~ spl57_10 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f318,plain,
( model(sK15(sK40,sK40),sK40)
| status(sK40,sK40,eth)
| ~ spl57_10 ),
inference(factoring,[],[f196]) ).
fof(f320,definition,
( spl57_23
<=> status(sK40,sK40,eth) ),
introduced(definition,[new_symbols(definition,[spl57_23])],[avatar_definition]) ).
fof(f321,plain,
( ~ status(sK40,sK40,eth)
| spl57_23 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f322,plain,
( status(sK40,sK40,eth)
| ~ spl57_23 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f324,definition,
( spl57_24
<=> model(sK15(sK40,sK40),sK40) ),
introduced(definition,[new_symbols(definition,[spl57_24])],[avatar_definition]) ).
fof(f326,plain,
( model(sK15(sK40,sK40),sK40)
| ~ spl57_24 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f327,plain,
( spl57_23
| spl57_24
| ~ spl57_10 ),
inference(avatar_split_clause,[],[f318,f195,f324,f320]) ).
fof(f339,plain,
( mighta(eth,thm)
| ~ spl57_23 ),
inference(resolution,[],[f322,f159]) ).
fof(f345,plain,
( $false
| ~ spl57_23 ),
inference(forward_subsumption_resolution,[],[f339,f141]) ).
fof(f346,plain,
~ spl57_23,
inference(avatar_contradiction_clause,[],[f345]) ).
fof(f638,plain,
( ! [X0,X1] :
( status(sK40,sK40,eth)
| ~ model(sK15(sK40,sK40),sK40)
| model(X0,sK40)
| ~ model(X1,sK40) )
| ~ spl57_24 ),
inference(resolution,[],[f81,f326]) ).
fof(f649,plain,
( ! [X0,X1] :
( ~ model(sK15(sK40,sK40),sK40)
| model(X0,sK40)
| ~ model(X1,sK40) )
| spl57_23
| ~ spl57_24 ),
inference(forward_subsumption_resolution,[],[f638,f321]) ).
fof(f652,plain,
( ! [X0,X1] :
( model(X0,sK40)
| ~ model(X1,sK40) )
| spl57_23
| ~ spl57_24 ),
inference(forward_subsumption_resolution,[],[f649,f326]) ).
fof(f656,definition,
( spl57_51
<=> ! [X1] : ~ model(X1,sK40) ),
introduced(definition,[new_symbols(definition,[spl57_51])],[avatar_definition]) ).
fof(f657,plain,
( ! [X1] : ~ model(X1,sK40)
| ~ spl57_51 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f658,plain,
( spl57_51
| spl57_9
| spl57_23
| ~ spl57_24 ),
inference(avatar_split_clause,[],[f652,f324,f320,f192,f656]) ).
fof(f683,plain,
( $false
| ~ spl57_9 ),
inference(resolution,[],[f193,f127]) ).
fof(f684,plain,
~ spl57_9,
inference(avatar_contradiction_clause,[],[f683]) ).
fof(f689,plain,
! [X0,X1] :
( model(sK15(sK40,X0),X0)
| model(sK15(sK40,X0),sK40)
| model(X1,sK40)
| status(sK40,X0,eth) ),
inference(resolution,[],[f128,f80]) ).
fof(f690,plain,
( spl57_9
| spl57_10 ),
inference(avatar_split_clause,[],[f689,f195,f192]) ).
fof(f700,plain,
( $false
| ~ spl57_51 ),
inference(resolution,[],[f657,f128]) ).
fof(f701,plain,
~ spl57_51,
inference(avatar_contradiction_clause,[],[f700]) ).
cnf(s18,plain,
( ~ spl57_10
| spl57_23
| spl57_24 ),
inference(sat_conversion,[],[f327]) ).
cnf(s21,plain,
~ spl57_23,
inference(sat_conversion,[],[f346]) ).
cnf(s36,plain,
( spl57_9
| spl57_23
| ~ spl57_24
| spl57_51 ),
inference(sat_conversion,[],[f658]) ).
cnf(s41,plain,
~ spl57_9,
inference(sat_conversion,[],[f684]) ).
cnf(s43,plain,
( spl57_9
| spl57_10 ),
inference(sat_conversion,[],[f690]) ).
cnf(s45,plain,
~ spl57_51,
inference(sat_conversion,[],[f701]) ).
cnf(s47,plain,
spl57_10,
inference(rat,[],[s43,s41]) ).
cnf(s48,plain,
( spl57_23
| ~ spl57_24 ),
inference(rat,[],[s36,s45,s41]) ).
cnf(s52,plain,
~ spl57_24,
inference(rat,[],[s48,s21]) ).
cnf(s54,plain,
$false,
inference(rat,[],[s18,s52,s21,s47]) ).
fof(f703,plain,
$false,
inference(avatar_sat_refutation,[],[s54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS261+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 13:49:41 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 Running first-order model finding
% 0.11/0.39 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
% 0.43/0.54 % (539523)Will run a generic schedule for satisfiability detection.
% 0.43/0.54 % (539533)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1673554134:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.43/0.54 % (539529)% WARNING: option uhcvi not known.
% 0.43/0.54 % (539531)dis+10_1_sil=32000:sp=arity:random_seed=3862327088:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.43/0.54 % (539528)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4230059319_2999 on theBenchmark for (2999ds/0Mi)
% 0.43/0.54 % (539530)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4039919508:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.43/0.54 % (539532)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2661893675:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.43/0.54 % (539534)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3102213262:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.43/0.54 % (539529)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1249393875:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.43/0.54 % TRYING [1]
% 0.43/0.54 % TRYING [2]
% 0.43/0.54 % TRYING [3]
% 0.43/0.54 % TRYING [4]
% 0.43/0.54 % TRYING [5]
% 0.43/0.54 % (539533)Instruction limit reached!
% 0.43/0.54 % (539533)------------------------------
% 0.43/0.54 % (539533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.54 % (539533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.54 % (539533)CaDiCaL version: 2.1.3
% 0.43/0.54 % (539533)Termination reason: Instruction limit
% 0.43/0.54 % (539533)Termination phase: Saturation
% 0.43/0.54 % (539533)Time elapsed: 0.042 s
% 0.43/0.54 % (539533)Peak memory usage: 12 MB
% 0.43/0.54 % (539533)Instructions burned: 133 (million)
% 0.43/0.54 % (539542)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2215046021:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.43/0.54 % TRYING [1]
% 0.43/0.54 % TRYING [2]
% 0.43/0.54 % TRYING [3]
% 0.43/0.54 % TRYING [4]
% 0.43/0.54 % TRYING [6]
% 0.43/0.54 % TRYING [5]
% 0.43/0.54 % (539531)Instruction limit reached!
% 0.43/0.54 % (539531)------------------------------
% 0.43/0.54 % (539531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.54 % (539531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.54 % (539531)CaDiCaL version: 2.1.3
% 0.43/0.54 % (539531)Termination reason: Instruction limit
% 0.43/0.54 % (539531)Termination phase: Saturation
% 0.43/0.54 % (539531)Time elapsed: 0.064 s
% 0.43/0.54 % (539531)Peak memory usage: 12 MB
% 0.43/0.54 % (539531)Instructions burned: 104 (million)
% 0.43/0.54 % (539532)Instruction limit reached!
% 0.43/0.54 % (539532)------------------------------
% 0.43/0.54 % (539532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.54 % (539532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.54 % (539532)CaDiCaL version: 2.1.3
% 0.43/0.54 % (539532)Termination reason: Instruction limit
% 0.43/0.54 % (539532)Termination phase: Saturation
% 0.43/0.54 % (539532)Time elapsed: 0.067 s
% 0.43/0.54 % (539532)Peak memory usage: 12 MB
% 0.43/0.54 % (539532)Instructions burned: 116 (million)
% 0.43/0.54 % TRYING [6]
% 0.43/0.54 % (539544)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4166115687:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.43/0.54 % (539545)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1206323450:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.43/0.54 % (539534)Instruction limit reached!
% 0.43/0.54 % (539534)------------------------------
% 0.43/0.54 % (539534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.54 % (539534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.54 % (539534)CaDiCaL version: 2.1.3
% 0.43/0.54 % (539534)Termination reason: Instruction limit
% 0.43/0.54 % (539534)Termination phase: Saturation
% 0.43/0.54 % (539534)Time elapsed: 0.093 s
% 0.43/0.54 % (539534)Peak memory usage: 13 MB
% 0.43/0.54 % (539534)Instructions burned: 161 (million)
% 0.43/0.54 % TRYING [7]
% 0.43/0.54 % TRYING [7]
% 0.43/0.54 % (539545) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-539523-539545"...
% 0.43/0.54 % (539545)...printing done.
% 0.43/0.54 % (539545)Refutation found. Thanks to Tanya!
% 0.43/0.54 % SZS status Theorem for theBenchmark
% 0.43/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.43/0.54 % (539545)------------------------------
% 0.43/0.54 % (539545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.43/0.54 % (539545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.43/0.54 % (539545)CaDiCaL version: 2.1.3
% 0.43/0.54 % (539545)Termination reason: Refutation
% 0.43/0.54 % (539545)Time elapsed: 0.011 s
% 0.43/0.54 % (539545)Peak memory usage: 12 MB
% 0.43/0.54 % (539545)Instructions burned: 14 (million)
% 0.43/0.54 % (539523)Success in time 0.132 s
% 0.43/0.54 % Vampire exiting
%------------------------------------------------------------------------------