%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS201+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 11:42:31 AM UTC 2026
% Result : Theorem 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 12 unt; 2 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 73 ( 35 ~; 23 |; 4 &)
% ( 8 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 60 ( 0 sgn 49 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
=> ? [X3] : model(X3,X1) )
<=> status(X0,X1,sap) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',sap) ).
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(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(f32,axiom,
? [X0,X1,X2] :
( model(X0,X1)
& ~ model(X0,X2)
& ? [X3] : model(X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',non_thm_spt) ).
fof(f33,conjecture,
nota(sap,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota_sap_thm) ).
fof(f34,negated_conjecture,
~ nota(sap,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ nota(sap,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(f38,plain,
! [X0,X1] :
( ( ? [X3] : model(X3,X1)
| ! [X2] : ~ model(X2,X0) )
<=> status(X0,X1,sap) ),
inference(ennf_transformation,[],[f2]) ).
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] :
( nota(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| status(X2,X3,X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f52,plain,
! [X3,X0,X1] :
( status(X0,X1,sap)
| ~ model(X3,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,thm)
| ~ model(X2,X0)
| model(X2,X1) ),
inference(cnf_transformation,[],[f39]) ).
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(f138,plain,
model(sK56,sK55),
inference(cnf_transformation,[],[f32]) ).
fof(f139,plain,
~ model(sK53,sK55),
inference(cnf_transformation,[],[f32]) ).
fof(f141,plain,
~ nota(sap,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f357,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ status(X0,X1,sap) ),
inference(resolution,[],[f121,f141]) ).
fof(f358,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,sap)
| ~ model(X2,X0)
| model(X2,X1) ),
inference(resolution,[],[f357,f63]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( ~ model(X0,X1)
| model(X0,X2)
| ~ model(X3,X2) ),
inference(resolution,[],[f358,f52]) ).
fof(f419,plain,
! [X0,X1] :
( ~ model(sK53,X0)
| ~ model(X1,sK55) ),
inference(resolution,[],[f364,f139]) ).
fof(f442,definition,
( spl57_27
<=> ! [X1] : ~ model(X1,sK55) ),
introduced(definition,[new_symbols(definition,[spl57_27])],[avatar_definition]) ).
fof(f443,plain,
( ! [X1] : ~ model(X1,sK55)
| ~ spl57_27 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f445,definition,
( spl57_28
<=> ! [X0] : ~ model(sK53,X0) ),
introduced(definition,[new_symbols(definition,[spl57_28])],[avatar_definition]) ).
fof(f446,plain,
( ! [X0] : ~ model(sK53,X0)
| ~ spl57_28 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f447,plain,
( spl57_27
| spl57_28 ),
inference(avatar_split_clause,[],[f419,f445,f442]) ).
fof(f491,plain,
( $false
| ~ spl57_27 ),
inference(resolution,[],[f443,f138]) ).
fof(f492,plain,
~ spl57_27,
inference(avatar_contradiction_clause,[],[f491]) ).
fof(f497,plain,
( ! [X0] : model(sK53,X0)
| ~ spl57_28 ),
inference(resolution,[],[f446,f124]) ).
fof(f502,plain,
( $false
| ~ spl57_28 ),
inference(forward_subsumption_resolution,[],[f497,f446]) ).
fof(f503,plain,
~ spl57_28,
inference(avatar_contradiction_clause,[],[f502]) ).
cnf(s39,plain,
( spl57_27
| spl57_28 ),
inference(sat_conversion,[],[f447]) ).
cnf(s47,plain,
~ spl57_27,
inference(sat_conversion,[],[f492]) ).
cnf(s50,plain,
~ spl57_28,
inference(sat_conversion,[],[f503]) ).
cnf(s51,plain,
$false,
inference(rat,[],[s39,s50,s47]) ).
fof(f504,plain,
$false,
inference(avatar_sat_refutation,[],[s51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS201+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n006.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 13:38:41 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.17/0.47 % (2979905)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (2979914)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=118474909:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (2979911)% WARNING: option uhcvi not known.
% 0.17/0.47 % (2979914) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2979905-2979914"...
% 0.17/0.47 % (2979910)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1147802248_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % (2979914)...printing done.
% 0.17/0.47 % (2979911)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3207748292:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (2979915)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=41707626:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (2979912)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4099316712:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (2979913)dis+10_1_sil=32000:sp=arity:random_seed=2859357809:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (2979914)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (2979914)------------------------------
% 0.17/0.47 % (2979914)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (2979914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (2979914)CaDiCaL version: 2.1.3
% 0.17/0.47 % (2979914)Termination reason: Refutation
% 0.17/0.47 % (2979914)Time elapsed: 0.006 s
% 0.17/0.47 % (2979914)Peak memory usage: 12 MB
% 0.17/0.47 % (2979914)Instructions burned: 17 (million)
% 0.17/0.47 % (2979905)Success in time 0.034 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------