%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS203+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 : n009.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 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 53 ( 24 ~; 18 |; 5 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 55 ( 45 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ? [X2] :
( model(X2,X0)
& model(X2,X1) )
<=> status(X0,X1,sat) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',sat) ).
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(f27,axiom,
? [X0] :
! [X1] : model(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',tautology) ).
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(sat,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota_sat_thm) ).
fof(f34,negated_conjecture,
~ nota(sat,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ nota(sat,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(f46,plain,
! [X0,X1] :
( nota(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| status(X2,X3,X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f58,plain,
! [X2,X0,X1] :
( status(X0,X1,sat)
| ~ model(X2,X1)
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f4]) ).
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(f126,plain,
! [X1] : model(X1,sK39),
inference(cnf_transformation,[],[f27]) ).
fof(f138,plain,
model(sK56,sK55),
inference(cnf_transformation,[],[f32]) ).
fof(f139,plain,
~ model(sK53,sK55),
inference(cnf_transformation,[],[f32]) ).
fof(f141,plain,
~ nota(sat,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f357,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ status(X0,X1,sat) ),
inference(resolution,[],[f121,f141]) ).
fof(f358,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,sat)
| ~ model(X2,X0)
| model(X2,X1) ),
inference(resolution,[],[f357,f63]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( ~ model(X0,X1)
| model(X0,X2)
| ~ model(X3,X2)
| ~ model(X3,X1) ),
inference(resolution,[],[f358,f58]) ).
fof(f445,plain,
! [X2,X0,X1] :
( ~ model(X1,sK39)
| model(X1,X2)
| ~ model(X0,X2) ),
inference(resolution,[],[f363,f126]) ).
fof(f462,plain,
! [X2,X0,X1] :
( model(X1,X2)
| ~ model(X0,X2) ),
inference(forward_subsumption_resolution,[],[f445,f126]) ).
fof(f489,plain,
! [X0] : ~ model(X0,sK55),
inference(resolution,[],[f462,f139]) ).
fof(f511,plain,
! [X0] : model(X0,sK55),
inference(resolution,[],[f462,f138]) ).
fof(f513,plain,
$false,
inference(forward_subsumption_resolution,[],[f489,f511]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS203+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 13:38:45 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 Running first-order model finding
% 0.10/0.39 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
% 0.10/0.45 % (2043760)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (2043767)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1368383072:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (2043766)% WARNING: option uhcvi not known.
% 0.10/0.45 % (2043765)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=943644638_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % (2043768)dis+10_1_sil=32000:sp=arity:random_seed=3997692217:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (2043769)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3380728787:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (2043770)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=602332429:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % (2043766)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2178829556:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.45 % (2043771)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=137930940:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % TRYING [1]
% 0.10/0.45 % TRYING [2]
% 0.10/0.45 % TRYING [3]
% 0.10/0.45 % (2043769) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2043760-2043769"...
% 0.10/0.45 % (2043769)...printing done.
% 0.10/0.45 % (2043769)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Theorem for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (2043769)------------------------------
% 0.10/0.45 % (2043769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (2043769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (2043769)CaDiCaL version: 2.1.3
% 0.10/0.45 % (2043769)Termination reason: Refutation
% 0.10/0.45 % (2043769)Time elapsed: 0.013 s
% 0.10/0.45 % (2043769)Peak memory usage: 12 MB
% 0.10/0.45 % (2043769)Instructions burned: 20 (million)
% 0.10/0.45 % (2043760)Success in time 0.054 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------