%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS216+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 11:42:35 AM UTC 2026
% Result : Theorem 0.16s 0.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 65 ( 16 unt; 5 def)
% Number of atoms : 142 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 151 ( 74 ~; 60 |; 3 &)
% ( 12 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 6 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-1 aty)
% Number of variables : 98 ( 0 sgn 92 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',thm) ).
fof(f13,axiom,
! [X0,X1] :
( ~ ? [X2] : model(X2,X0)
<=> status(X0,X1,cax) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',cax) ).
fof(f18,axiom,
! [X0,X1] :
( ( ! [X2] : model(X2,X0)
& ! [X3] : model(X3,not(X1)) )
<=> status(X0,X1,uns) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',uns) ).
fof(f22,axiom,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X0)
& ~ status(X2,X3,X1) )
<=> nota(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',nota) ).
fof(f26,axiom,
! [X0,X1] :
( model(X0,X1)
<=> ~ model(X0,not(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',not) ).
fof(f27,axiom,
? [X0] :
! [X1] : model(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',tautology) ).
fof(f33,conjecture,
nota(uns,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota_uns_thm) ).
fof(f34,negated_conjecture,
~ nota(uns,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ nota(uns,thm),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X0)
& ~ status(X2,X3,X1) )
=> nota(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f22]) ).
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] :
( nota(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| status(X2,X3,X1) ) ),
inference(ennf_transformation,[],[f36]) ).
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(f113,plain,
! [X0,X1] :
( status(X0,X1,uns)
| ~ model(sK35(X1),not(X1))
| ~ model(sK36(X0),X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f114,plain,
! [X3,X0,X1] :
( ~ status(X0,X1,uns)
| model(X3,not(X1)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,uns)
| model(X2,X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f121,plain,
! [X2,X3,X0,X1] :
( nota(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(f125,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,
~ nota(uns,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f153,plain,
! [X0,X1] :
( model(sK26(X0),X0)
| ~ model(X1,X0) ),
inference(resolution,[],[f99,f98]) ).
fof(f155,plain,
! [X0,X1] :
( ~ model(X1,not(X0))
| ~ model(sK26(not(X0)),X0) ),
inference(resolution,[],[f153,f125]) ).
fof(f172,plain,
! [X0] : ~ model(X0,not(sK39)),
inference(resolution,[],[f155,f126]) ).
fof(f357,plain,
! [X0,X1] :
( ~ status(X0,X1,uns)
| status(X0,X1,thm) ),
inference(resolution,[],[f121,f141]) ).
fof(f403,plain,
! [X0,X1] :
( status(X1,X0,thm)
| ~ model(sK36(X1),X1)
| ~ model(sK35(X0),not(X0)) ),
inference(resolution,[],[f113,f357]) ).
fof(f404,plain,
! [X2,X0,X1] :
( ~ model(sK35(X0),not(X0))
| ~ model(sK36(X1),X1)
| model(X2,not(X0)) ),
inference(resolution,[],[f113,f114]) ).
fof(f405,plain,
! [X2,X0,X1] :
( ~ model(sK35(X0),not(X0))
| ~ model(sK36(X1),X1)
| model(X2,X1) ),
inference(resolution,[],[f113,f115]) ).
fof(f407,definition,
( spl57_27
<=> ! [X2,X1] :
( ~ model(sK36(X1),X1)
| model(X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl57_27])],[avatar_definition]) ).
fof(f408,plain,
( ! [X2,X1] :
( ~ model(sK36(X1),X1)
| model(X2,X1) )
| ~ spl57_27 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f410,definition,
( spl57_28
<=> ! [X0] : ~ model(sK35(X0),not(X0)) ),
introduced(definition,[new_symbols(definition,[spl57_28])],[avatar_definition]) ).
fof(f411,plain,
( ! [X0] : ~ model(sK35(X0),not(X0))
| ~ spl57_28 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f412,plain,
( spl57_27
| spl57_28 ),
inference(avatar_split_clause,[],[f405,f410,f407]) ).
fof(f414,definition,
( spl57_29
<=> ! [X1] : ~ model(sK36(X1),X1) ),
introduced(definition,[new_symbols(definition,[spl57_29])],[avatar_definition]) ).
fof(f415,plain,
( ! [X1] : ~ model(sK36(X1),X1)
| ~ spl57_29 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f417,definition,
( spl57_30
<=> ! [X2,X0] :
( ~ model(sK35(X0),not(X0))
| model(X2,not(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl57_30])],[avatar_definition]) ).
fof(f418,plain,
( ! [X2,X0] :
( ~ model(sK35(X0),not(X0))
| model(X2,not(X0)) )
| ~ spl57_30 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f419,plain,
( spl57_29
| spl57_30 ),
inference(avatar_split_clause,[],[f404,f417,f414]) ).
fof(f420,plain,
! [X2,X0,X1] :
( ~ model(sK36(X0),X0)
| ~ model(sK35(X1),not(X1))
| ~ model(X2,X0)
| model(X2,X1) ),
inference(resolution,[],[f403,f63]) ).
fof(f424,plain,
( $false
| ~ spl57_29 ),
inference(resolution,[],[f415,f126]) ).
fof(f426,plain,
~ spl57_29,
inference(avatar_contradiction_clause,[],[f424]) ).
fof(f427,plain,
( ! [X2,X0,X1] :
( ~ model(sK36(X0),X0)
| ~ model(sK35(X1),not(X1))
| model(X2,X1) )
| ~ spl57_27 ),
inference(forward_subsumption_resolution,[],[f420,f408]) ).
fof(f429,definition,
( spl57_31
<=> ! [X2,X1] :
( ~ model(sK35(X1),not(X1))
| model(X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl57_31])],[avatar_definition]) ).
fof(f430,plain,
( ! [X2,X1] :
( ~ model(sK35(X1),not(X1))
| model(X2,X1) )
| ~ spl57_31 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f431,plain,
( spl57_31
| spl57_29
| ~ spl57_27 ),
inference(avatar_split_clause,[],[f427,f407,f414,f429]) ).
fof(f465,plain,
( ! [X0] : model(sK35(X0),X0)
| ~ spl57_28 ),
inference(resolution,[],[f411,f124]) ).
fof(f477,plain,
( $false
| ~ spl57_28 ),
inference(resolution,[],[f465,f172]) ).
fof(f480,plain,
~ spl57_28,
inference(avatar_contradiction_clause,[],[f477]) ).
fof(f499,plain,
( ! [X0,X1] :
( ~ model(sK35(X0),not(X0))
| ~ model(X1,not(X0)) )
| ~ spl57_31 ),
inference(resolution,[],[f430,f155]) ).
fof(f521,plain,
( ! [X0] : ~ model(sK35(X0),not(X0))
| ~ spl57_30
| ~ spl57_31 ),
inference(forward_subsumption_resolution,[],[f499,f418]) ).
fof(f522,plain,
( spl57_28
| ~ spl57_30
| ~ spl57_31 ),
inference(avatar_split_clause,[],[f521,f429,f417,f410]) ).
cnf(s42,plain,
( spl57_27
| spl57_28 ),
inference(sat_conversion,[],[f412]) ).
cnf(s43,plain,
( spl57_29
| spl57_30 ),
inference(sat_conversion,[],[f419]) ).
cnf(s44,plain,
~ spl57_29,
inference(sat_conversion,[],[f426]) ).
cnf(s45,plain,
( ~ spl57_27
| spl57_29
| spl57_31 ),
inference(sat_conversion,[],[f431]) ).
cnf(s51,plain,
~ spl57_28,
inference(sat_conversion,[],[f480]) ).
cnf(s57,plain,
( spl57_28
| ~ spl57_30
| ~ spl57_31 ),
inference(sat_conversion,[],[f522]) ).
cnf(s60,plain,
spl57_30,
inference(rat,[],[s43,s44]) ).
cnf(s61,plain,
~ spl57_31,
inference(rat,[],[s57,s51,s60]) ).
cnf(s62,plain,
~ spl57_27,
inference(rat,[],[s45,s44,s61]) ).
cnf(s63,plain,
$false,
inference(rat,[],[s42,s51,s62]) ).
fof(f523,plain,
$false,
inference(avatar_sat_refutation,[],[s63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS216+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n006.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 13:39:56 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.48 % (2980895)Will run a generic schedule for satisfiability detection.
% 0.16/0.48 % (2980901)% WARNING: option uhcvi not known.
% 0.16/0.48 % (2980901)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1105062024:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.48 % (2980902)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2033065129:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.48 % (2980900)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=459623728_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.48 % (2980903)dis+10_1_sil=32000:sp=arity:random_seed=321598628:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.48 % (2980904)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1290085443:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.48 % (2980906)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3721239033:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.48 % (2980905)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=110631144:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.48 % TRYING [1]
% 0.16/0.48 % TRYING [2]
% 0.16/0.48 % TRYING [3]
% 0.16/0.48 % (2980904) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2980895-2980904"...
% 0.16/0.48 % (2980904)...printing done.
% 0.16/0.48 % (2980904)Refutation found. Thanks to Tanya!
% 0.16/0.48 % SZS status Theorem for theBenchmark
% 0.16/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (2980904)------------------------------
% 0.16/0.48 % (2980904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.48 % (2980904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.48 % (2980904)CaDiCaL version: 2.1.3
% 0.16/0.48 % (2980904)Termination reason: Refutation
% 0.16/0.48 % (2980904)Time elapsed: 0.012 s
% 0.16/0.48 % (2980904)Peak memory usage: 12 MB
% 0.16/0.48 % (2980904)Instructions burned: 19 (million)
% 0.16/0.48 % (2980895)Success in time 0.051 s
% 0.16/0.48 % Vampire exiting
%------------------------------------------------------------------------------