%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS260+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 : n011.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 0.54s 0.59s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 37 ( 15 unt; 1 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 69 ( 27 ~; 24 |; 9 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn 43 !; 12 ?)
% 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(f8,axiom,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
& ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X4] :
( model(X4,X1)
& ~ model(X4,X0) ) )
<=> status(X0,X1,wec) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',wec) ).
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(wec,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_wec_thm) ).
fof(f34,negated_conjecture,
~ mighta(wec,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ mighta(wec,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(f40,plain,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
& ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
& ? [X4] :
( model(X4,X1)
& ~ model(X4,X0) ) )
<=> status(X0,X1,wec) ),
inference(ennf_transformation,[],[f8]) ).
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] :
( ~ model(sK7(X0,X1),X1)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f39]) ).
fof(f74,plain,
! [X2,X0,X1,X4] :
( ~ model(sK13(X0,X1),X1)
| model(X4,X0)
| ~ model(X4,X1)
| status(X0,X1,wec)
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f121,plain,
! [X2,X3,X0,X1] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0)
| mighta(X0,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(wec,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f152,plain,
! [X0] : status(X0,sK39,thm),
inference(resolution,[],[f62,f126]) ).
fof(f162,plain,
! [X0,X1] :
( ~ status(X0,sK39,X1)
| mighta(X1,thm) ),
inference(resolution,[],[f121,f152]) ).
fof(f260,definition,
( spl57_20
<=> status(sK40,sK39,wec) ),
introduced(definition,[new_symbols(definition,[spl57_20])],[avatar_definition]) ).
fof(f261,plain,
( ~ status(sK40,sK39,wec)
| spl57_20 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f262,plain,
( status(sK40,sK39,wec)
| ~ spl57_20 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f329,plain,
( mighta(wec,thm)
| ~ spl57_20 ),
inference(resolution,[],[f262,f162]) ).
fof(f331,plain,
( $false
| ~ spl57_20 ),
inference(forward_subsumption_resolution,[],[f329,f141]) ).
fof(f332,plain,
~ spl57_20,
inference(avatar_contradiction_clause,[],[f331]) ).
fof(f494,plain,
! [X2,X0,X1] :
( model(X0,X1)
| ~ model(X0,sK39)
| status(X1,sK39,wec)
| ~ model(X2,X1) ),
inference(resolution,[],[f74,f126]) ).
fof(f499,plain,
! [X2,X0,X1] :
( ~ model(X2,X1)
| status(X1,sK39,wec)
| model(X0,X1) ),
inference(forward_subsumption_resolution,[],[f494,f126]) ).
fof(f2238,plain,
! [X0] :
( status(sK40,sK39,wec)
| model(X0,sK40) ),
inference(resolution,[],[f499,f128]) ).
fof(f2249,plain,
( ! [X0] : model(X0,sK40)
| spl57_20 ),
inference(forward_subsumption_resolution,[],[f2238,f261]) ).
fof(f2298,plain,
( $false
| spl57_20 ),
inference(resolution,[],[f2249,f127]) ).
fof(f2299,plain,
spl57_20,
inference(avatar_contradiction_clause,[],[f2298]) ).
cnf(s16,plain,
~ spl57_20,
inference(sat_conversion,[],[f332]) ).
cnf(s68,plain,
spl57_20,
inference(sat_conversion,[],[f2299]) ).
cnf(s76,plain,
$false,
inference(rat,[],[s16,s68]) ).
fof(f2302,plain,
$false,
inference(avatar_sat_refutation,[],[s76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS260+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n011.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
% 0.12/0.39 % DateTime : Sun Sep 27 13:48:00 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.54/0.59 % (2420706)Will run a generic schedule for satisfiability detection.
% 0.54/0.59 % (2420711)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3017529920_2999 on theBenchmark for (2999ds/0Mi)
% 0.54/0.59 % (2420712)% WARNING: option uhcvi not known.
% 0.54/0.59 % TRYING [1]
% 0.54/0.59 % TRYING [2]
% 0.54/0.59 % TRYING [3]
% 0.54/0.59 % (2420712)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1248156423:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.54/0.59 % (2420713)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=52074431:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.54/0.59 % (2420714)dis+10_1_sil=32000:sp=arity:random_seed=463761203:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.54/0.59 % (2420715)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1858515034:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.54/0.59 % (2420716)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1306483742:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.54/0.59 % (2420717)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3970484434:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.54/0.59 % TRYING [4]
% 0.54/0.59 % TRYING [5]
% 0.54/0.59 % TRYING [6]
% 0.54/0.59 % TRYING [7]
% 0.54/0.59 % (2420714)Instruction limit reached!
% 0.54/0.59 % (2420714)------------------------------
% 0.54/0.59 % (2420714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.59 % (2420714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.59 % (2420714)CaDiCaL version: 2.1.3
% 0.54/0.59 % (2420714)Termination reason: Instruction limit
% 0.54/0.59 % (2420714)Termination phase: Saturation
% 0.54/0.59 % (2420714)Time elapsed: 0.064 s
% 0.54/0.59 % (2420714)Peak memory usage: 12 MB
% 0.54/0.59 % (2420714)Instructions burned: 104 (million)
% 0.54/0.59 % (2420715)Instruction limit reached!
% 0.54/0.59 % (2420715)------------------------------
% 0.54/0.59 % (2420715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.59 % (2420715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.59 % (2420715)CaDiCaL version: 2.1.3
% 0.54/0.59 % (2420715)Termination reason: Instruction limit
% 0.54/0.59 % (2420715)Termination phase: Saturation
% 0.54/0.59 % (2420715)Time elapsed: 0.068 s
% 0.54/0.59 % (2420715)Peak memory usage: 12 MB
% 0.54/0.59 % (2420715)Instructions burned: 116 (million)
% 0.54/0.59 % (2420716)Instruction limit reached!
% 0.54/0.59 % (2420716)------------------------------
% 0.54/0.59 % (2420716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.59 % (2420716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.59 % (2420716)CaDiCaL version: 2.1.3
% 0.54/0.59 % (2420716)Termination reason: Instruction limit
% 0.54/0.59 % (2420716)Termination phase: Saturation
% 0.54/0.59 % (2420716)Time elapsed: 0.076 s
% 0.54/0.59 % (2420716)Peak memory usage: 13 MB
% 0.54/0.59 % (2420716)Instructions burned: 131 (million)
% 0.54/0.59 % TRYING [8]
% 0.54/0.59 % (2420725)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1063034823:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.54/0.59 % (2420726)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=366851213:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.54/0.59 % TRYING [1]
% 0.54/0.59 % TRYING [2]
% 0.54/0.59 % TRYING [3]
% 0.54/0.59 % (2420717)Instruction limit reached!
% 0.54/0.59 % (2420717)------------------------------
% 0.54/0.59 % (2420717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.59 % (2420717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.59 % (2420717)CaDiCaL version: 2.1.3
% 0.54/0.59 % (2420717)Termination reason: Instruction limit
% 0.54/0.59 % (2420717)Termination phase: Saturation
% 0.54/0.59 % (2420717)Time elapsed: 0.095 s
% 0.54/0.59 % (2420717)Peak memory usage: 13 MB
% 0.54/0.59 % (2420717)Instructions burned: 159 (million)
% 0.54/0.59 % (2420727)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=1374822648:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.54/0.59 % TRYING [4]
% 0.54/0.59 % TRYING [5]
% 0.54/0.59 % (2420727) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2420706-2420727"...
% 0.54/0.59 % (2420727)...printing done.
% 0.54/0.59 % (2420727)Refutation found. Thanks to Tanya!
% 0.54/0.59 % SZS status Theorem for theBenchmark
% 0.54/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.54/0.59 % (2420727)------------------------------
% 0.54/0.59 % (2420727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.59 % (2420727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.59 % (2420727)CaDiCaL version: 2.1.3
% 0.54/0.59 % (2420727)Termination reason: Refutation
% 0.54/0.59 % (2420727)Time elapsed: 0.024 s
% 0.54/0.59 % (2420727)Peak memory usage: 13 MB
% 0.54/0.59 % (2420727)Instructions burned: 36 (million)
% 0.54/0.59 % (2420706)Success in time 0.157 s
% 0.54/0.59 % Vampire exiting
%------------------------------------------------------------------------------