%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS200+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 : n005.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 0.15s 0.48s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 46 ( 21 ~; 13 |; 4 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 50 ( 39 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( ~ ? [X2] : model(X2,X0)
=> ~ ? [X3] : model(X3,X1) )
<=> status(X0,X1,unp) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',unp) ).
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(f22,axiom,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X0)
& ~ status(X2,X3,X1) )
<=> nota(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',nota) ).
fof(f32,axiom,
? [X0,X1,X2] :
( model(X0,X1)
& ~ model(X0,X2)
& ? [X3] : model(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',non_thm_spt) ).
fof(f33,conjecture,
nota(unp,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota_unp_thm) ).
fof(f34,negated_conjecture,
~ nota(unp,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ nota(unp,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(f37,plain,
! [X0,X1] :
( ( ! [X3] : ~ model(X3,X1)
| ? [X2] : model(X2,X0) )
<=> status(X0,X1,unp) ),
inference(ennf_transformation,[],[f1]) ).
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(f48,plain,
! [X2,X0,X1] :
( status(X0,X1,unp)
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f37]) ).
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(f139,plain,
~ model(sK53,sK55),
inference(cnf_transformation,[],[f32]) ).
fof(f140,plain,
model(sK53,sK54),
inference(cnf_transformation,[],[f32]) ).
fof(f141,plain,
~ nota(unp,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f357,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ status(X0,X1,unp) ),
inference(resolution,[],[f121,f141]) ).
fof(f358,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,unp)
| ~ model(X2,X0)
| model(X2,X1) ),
inference(resolution,[],[f357,f63]) ).
fof(f359,plain,
! [X2,X0,X1] :
( ~ model(X2,X0)
| model(X2,X1) ),
inference(forward_subsumption_resolution,[],[f358,f48]) ).
fof(f383,plain,
! [X0] : model(sK53,X0),
inference(resolution,[],[f359,f140]) ).
fof(f401,plain,
! [X0] : ~ model(sK53,X0),
inference(resolution,[],[f359,f139]) ).
fof(f413,plain,
$false,
inference(forward_subsumption_resolution,[],[f383,f401]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS200+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n005.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 13:38:02 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.15/0.48 % (3991795)Will run a generic schedule for satisfiability detection.
% 0.15/0.48 % (3991803)dis+10_1_sil=32000:sp=arity:random_seed=1900197149:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.48 % (3991801)% WARNING: option uhcvi not known.
% 0.15/0.48 % (3991800)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3037826718_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.48 % (3991802)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1632018457:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.48 % (3991804)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2115927937:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.48 % (3991801)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1323731175:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.48 % (3991805)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2747454816:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.48 % (3991806)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2503748629:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.48 % TRYING [1]
% 0.15/0.48 % TRYING [2]
% 0.15/0.48 % (3991804) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3991795-3991804"...
% 0.15/0.48 % TRYING [3]
% 0.15/0.48 % (3991804)...printing done.
% 0.15/0.48 % (3991804)Refutation found. Thanks to Tanya!
% 0.15/0.48 % SZS status Theorem for theBenchmark
% 0.15/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48 % (3991804)------------------------------
% 0.15/0.48 % (3991804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.48 % (3991804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.48 % (3991804)CaDiCaL version: 2.1.3
% 0.15/0.48 % (3991804)Termination reason: Refutation
% 0.15/0.48 % (3991804)Time elapsed: 0.010 s
% 0.15/0.48 % (3991804)Peak memory usage: 12 MB
% 0.15/0.48 % (3991804)Instructions burned: 14 (million)
% 0.15/0.48 % (3991795)Success in time 0.046 s
% 0.15/0.48 % Vampire exiting
%------------------------------------------------------------------------------