%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS264+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 0.35s 0.49s
% Output : Refutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 71 ( 20 unt; 5 def)
% Number of atoms : 180 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 180 ( 71 ~; 77 |; 18 &)
% ( 10 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 6 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 98 ( 0 sgn 78 !; 20 ?)
% 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(f12,axiom,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
& ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X4] :
( model(X4,X1)
& ~ model(X4,X0) )
& ? [X5] : ~ model(X5,X1) )
<=> status(X0,X1,wth) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',wth) ).
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(f31,axiom,
? [X0,X1] :
( ? [X2] : model(X2,X0)
& ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
& ? [X5] : ~ model(X5,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',mixed_pair) ).
fof(f33,conjecture,
mighta(wth,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_wth_thm) ).
fof(f34,negated_conjecture,
~ mighta(wth,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ mighta(wth,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(f41,plain,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
& ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
& ? [X4] :
( model(X4,X1)
& ~ model(X4,X0) )
& ? [X5] : ~ model(X5,X1) )
<=> status(X0,X1,wth) ),
inference(ennf_transformation,[],[f12]) ).
fof(f46,plain,
! [X0,X1] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f47,plain,
? [X0,X1] :
( ? [X2] : model(X2,X0)
& ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
& ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
& ? [X5] : ~ model(X5,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f61,plain,
! [X0,X1] :
( status(X0,X1,thm)
| model(sK7(X0,X1),X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f62,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ model(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f92,plain,
! [X2,X0,X1,X4,X5] :
( status(X0,X1,wth)
| model(X5,X1)
| model(X4,X0)
| ~ model(X4,X1)
| model(sK24(X0,X1),X0)
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f93,plain,
! [X2,X0,X1,X4,X5] :
( status(X0,X1,wth)
| model(X5,X1)
| model(X4,X0)
| ~ model(X4,X1)
| ~ model(sK24(X0,X1),X1)
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f121,plain,
! [X2,X3,X0,X1] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0)
| mighta(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f133,plain,
! [X3] :
( ~ model(X3,sK48)
| model(X3,sK49) ),
inference(cnf_transformation,[],[f47]) ).
fof(f134,plain,
model(sK51,sK49),
inference(cnf_transformation,[],[f47]) ).
fof(f135,plain,
~ model(sK51,sK48),
inference(cnf_transformation,[],[f47]) ).
fof(f136,plain,
~ model(sK50,sK49),
inference(cnf_transformation,[],[f47]) ).
fof(f137,plain,
model(sK52,sK48),
inference(cnf_transformation,[],[f47]) ).
fof(f141,plain,
~ mighta(wth,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f156,plain,
! [X0,X1] :
( ~ status(X0,X1,thm)
| ~ model(sK7(X0,X1),X1) ),
inference(consistent_polarity_flipping,[],[f62]) ).
fof(f157,plain,
! [X0,X1] :
( ~ status(X0,X1,thm)
| model(sK7(X0,X1),X0) ),
inference(consistent_polarity_flipping,[],[f61]) ).
fof(f189,plain,
! [X2,X0,X1,X4,X5] :
( ~ status(X0,X1,wth)
| model(X5,X1)
| model(X4,X0)
| ~ model(X4,X1)
| ~ model(sK24(X0,X1),X1)
| ~ model(X2,X0) ),
inference(consistent_polarity_flipping,[],[f93]) ).
fof(f190,plain,
! [X2,X0,X1,X4,X5] :
( ~ status(X0,X1,wth)
| model(X5,X1)
| model(X4,X0)
| ~ model(X4,X1)
| model(sK24(X0,X1),X0)
| ~ model(X2,X0) ),
inference(consistent_polarity_flipping,[],[f92]) ).
fof(f215,plain,
! [X2,X3,X0,X1] :
( ~ mighta(X0,X1)
| status(X2,X3,X0)
| status(X2,X3,X1) ),
inference(consistent_polarity_flipping,[],[f121]) ).
fof(f216,plain,
mighta(wth,thm),
inference(consistent_polarity_flipping,[],[f141]) ).
fof(f232,definition,
( spl57_3
<=> ! [X0] : model(X0,sK49) ),
introduced(definition,[new_symbols(definition,[spl57_3])],[avatar_definition]) ).
fof(f233,plain,
( ! [X0] : model(X0,sK49)
| ~ spl57_3 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f245,plain,
( $false
| ~ spl57_3 ),
inference(backward_subsumption_resolution,[],[f136,f233]) ).
fof(f246,plain,
~ spl57_3,
inference(avatar_contradiction_clause,[],[f245]) ).
fof(f1689,plain,
! [X0,X1] :
( status(X0,X1,thm)
| status(X0,X1,wth) ),
inference(resolution,[],[f215,f216]) ).
fof(f1771,plain,
! [X0,X1] :
( model(sK7(X0,X1),X0)
| status(X0,X1,wth) ),
inference(resolution,[],[f1689,f157]) ).
fof(f1772,plain,
! [X0,X1] :
( ~ model(sK7(X0,X1),X1)
| status(X0,X1,wth) ),
inference(resolution,[],[f1689,f156]) ).
fof(f1791,plain,
! [X0] :
( model(sK7(sK48,X0),sK49)
| status(sK48,X0,wth) ),
inference(resolution,[],[f1771,f133]) ).
fof(f1968,plain,
( status(sK48,sK49,wth)
| status(sK48,sK49,wth) ),
inference(resolution,[],[f1791,f1772]) ).
fof(f1984,plain,
status(sK48,sK49,wth),
inference(duplicate_literal_removal,[],[f1968]) ).
fof(f2004,plain,
! [X2,X0,X1] :
( model(X0,sK49)
| model(X1,sK48)
| ~ model(X1,sK49)
| model(sK24(sK48,sK49),sK48)
| ~ model(X2,sK48) ),
inference(resolution,[],[f1984,f190]) ).
fof(f2005,plain,
! [X2,X0,X1] :
( model(X0,sK49)
| model(X1,sK48)
| ~ model(X1,sK49)
| ~ model(sK24(sK48,sK49),sK49)
| ~ model(X2,sK48) ),
inference(resolution,[],[f1984,f189]) ).
fof(f2007,definition,
( spl57_53
<=> ! [X2] : ~ model(X2,sK48) ),
introduced(definition,[new_symbols(definition,[spl57_53])],[avatar_definition]) ).
fof(f2008,plain,
( ! [X2] : ~ model(X2,sK48)
| ~ spl57_53 ),
inference(avatar_component_clause,[],[f2007]) ).
fof(f2010,definition,
( spl57_54
<=> model(sK24(sK48,sK49),sK49) ),
introduced(definition,[new_symbols(definition,[spl57_54])],[avatar_definition]) ).
fof(f2012,plain,
( ~ model(sK24(sK48,sK49),sK49)
| spl57_54 ),
inference(avatar_component_clause,[],[f2010]) ).
fof(f2014,definition,
( spl57_55
<=> ! [X1] :
( model(X1,sK48)
| ~ model(X1,sK49) ) ),
introduced(definition,[new_symbols(definition,[spl57_55])],[avatar_definition]) ).
fof(f2015,plain,
( ! [X1] :
( ~ model(X1,sK49)
| model(X1,sK48) )
| ~ spl57_55 ),
inference(avatar_component_clause,[],[f2014]) ).
fof(f2016,plain,
( spl57_53
| ~ spl57_54
| spl57_55
| spl57_3 ),
inference(avatar_split_clause,[],[f2005,f232,f2014,f2010,f2007]) ).
fof(f2018,definition,
( spl57_56
<=> model(sK24(sK48,sK49),sK48) ),
introduced(definition,[new_symbols(definition,[spl57_56])],[avatar_definition]) ).
fof(f2020,plain,
( model(sK24(sK48,sK49),sK48)
| ~ spl57_56 ),
inference(avatar_component_clause,[],[f2018]) ).
fof(f2021,plain,
( spl57_53
| spl57_56
| spl57_55
| spl57_3 ),
inference(avatar_split_clause,[],[f2004,f232,f2014,f2018,f2007]) ).
fof(f2022,plain,
( $false
| ~ spl57_53 ),
inference(backward_subsumption_resolution,[],[f137,f2008]) ).
fof(f2038,plain,
~ spl57_53,
inference(avatar_contradiction_clause,[],[f2022]) ).
fof(f2082,plain,
( model(sK51,sK48)
| ~ spl57_55 ),
inference(resolution,[],[f2015,f134]) ).
fof(f2084,plain,
( $false
| ~ spl57_55 ),
inference(forward_subsumption_resolution,[],[f2082,f135]) ).
fof(f2085,plain,
~ spl57_55,
inference(avatar_contradiction_clause,[],[f2084]) ).
fof(f2145,plain,
( model(sK24(sK48,sK49),sK49)
| ~ spl57_56 ),
inference(resolution,[],[f2020,f133]) ).
fof(f2161,plain,
( $false
| spl57_54
| ~ spl57_56 ),
inference(forward_subsumption_resolution,[],[f2145,f2012]) ).
fof(f2162,plain,
( spl57_54
| ~ spl57_56 ),
inference(avatar_contradiction_clause,[],[f2161]) ).
cnf(s4,plain,
~ spl57_3,
inference(sat_conversion,[],[f246]) ).
cnf(s57,plain,
( spl57_3
| spl57_53
| ~ spl57_54
| spl57_55 ),
inference(sat_conversion,[],[f2016]) ).
cnf(s58,plain,
( spl57_3
| spl57_53
| spl57_55
| spl57_56 ),
inference(sat_conversion,[],[f2021]) ).
cnf(s59,plain,
~ spl57_53,
inference(sat_conversion,[],[f2038]) ).
cnf(s63,plain,
~ spl57_55,
inference(sat_conversion,[],[f2085]) ).
cnf(s79,plain,
( spl57_54
| ~ spl57_56 ),
inference(sat_conversion,[],[f2162]) ).
cnf(s80,plain,
( spl57_3
| spl57_56 ),
inference(rat,[],[s58,s63,s59]) ).
cnf(s81,plain,
( spl57_3
| ~ spl57_54 ),
inference(rat,[],[s57,s63,s59]) ).
cnf(s93,plain,
spl57_56,
inference(rat,[],[s80,s4]) ).
cnf(s94,plain,
~ spl57_54,
inference(rat,[],[s81,s4]) ).
cnf(s99,plain,
$false,
inference(rat,[],[s79,s93,s94]) ).
fof(f2163,plain,
$false,
inference(avatar_sat_refutation,[],[s99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS264+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 13:48:32 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.35/0.49 % (827787)Will run a generic schedule for satisfiability detection.
% 0.35/0.49 % (827797)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3676521802:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.35/0.49 % (827792)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2855751534_2999 on theBenchmark for (2999ds/0Mi)
% 0.35/0.49 % (827795)dis+10_1_sil=32000:sp=arity:random_seed=2534780371:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.35/0.49 % (827794)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3183361087:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.35/0.49 % (827796)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2000086986:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.35/0.49 % (827798)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1268790167:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.35/0.49 % (827793)% WARNING: option uhcvi not known.
% 0.35/0.49 % (827793)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3898944437:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.35/0.49 % TRYING [1]
% 0.35/0.49 % TRYING [2]
% 0.35/0.49 % TRYING [3]
% 0.35/0.49 % TRYING [4]
% 0.35/0.49 % TRYING [5]
% 0.35/0.49 % (827797)Instruction limit reached!
% 0.35/0.49 % (827797)------------------------------
% 0.35/0.49 % (827797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.49 % (827797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.49 % (827797)CaDiCaL version: 2.1.3
% 0.35/0.49 % (827797)Termination reason: Instruction limit
% 0.35/0.49 % (827797)Termination phase: Saturation
% 0.35/0.49 % (827797)Time elapsed: 0.042 s
% 0.35/0.49 % (827797)Peak memory usage: 13 MB
% 0.35/0.49 % (827797)Instructions burned: 132 (million)
% 0.35/0.49 % (827793) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-827787-827793"...
% 0.35/0.49 % (827793)...printing done.
% 0.35/0.49 % (827793)Refutation found. Thanks to Tanya!
% 0.35/0.49 % SZS status Theorem for theBenchmark
% 0.35/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.35/0.49 % (827793)------------------------------
% 0.35/0.49 % (827793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.49 % (827793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.49 % (827793)CaDiCaL version: 2.1.3
% 0.35/0.49 % (827793)Termination reason: Refutation
% 0.35/0.49 % (827793)Time elapsed: 0.032 s
% 0.35/0.49 % (827793)Peak memory usage: 13 MB
% 0.35/0.49 % (827793)Instructions burned: 53 (million)
% 0.35/0.49 % (827787)Success in time 0.072 s
% 0.35/0.49 % Vampire exiting
%------------------------------------------------------------------------------