%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS265+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 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 18 ~; 12 |; 2 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 41 !; 6 ?)
% 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(f13,axiom,
! [X0,X1] :
( ~ ? [X2] : model(X2,X0)
<=> status(X0,X1,cax) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',cax) ).
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(f29,axiom,
? [X0] :
! [X1] : ~ model(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',contradiction) ).
fof(f33,conjecture,
mighta(cax,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_cax_thm) ).
fof(f34,negated_conjecture,
~ mighta(cax,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ mighta(cax,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(f42,plain,
! [X0,X1] :
( ! [X2] : ~ model(X2,X0)
<=> status(X0,X1,cax) ),
inference(ennf_transformation,[],[f13]) ).
fof(f46,plain,
! [X0,X1] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f61,plain,
! [X0,X1] :
( status(X0,X1,thm)
| model(sK7(X0,X1),X0) ),
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(f121,plain,
! [X2,X3,X0,X1] :
( mighta(X0,X1)
| ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f129,plain,
! [X1] : ~ model(X1,sK43),
inference(cnf_transformation,[],[f29]) ).
fof(f141,plain,
~ mighta(cax,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f153,plain,
! [X0,X1] :
( model(sK26(X0),X0)
| ~ model(X1,X0) ),
inference(resolution,[],[f99,f98]) ).
fof(f357,plain,
! [X0,X1] :
( ~ status(X0,X1,cax)
| ~ status(X0,X1,thm) ),
inference(resolution,[],[f121,f141]) ).
fof(f358,plain,
! [X0,X1] :
( ~ status(X0,X1,thm)
| model(sK26(X0),X0) ),
inference(resolution,[],[f357,f99]) ).
fof(f364,plain,
! [X0,X1] :
( model(sK26(X0),X0)
| model(sK7(X0,X1),X0) ),
inference(resolution,[],[f358,f61]) ).
fof(f365,plain,
! [X0] : model(sK26(X0),X0),
inference(forward_subsumption_resolution,[],[f364,f153]) ).
fof(f386,plain,
$false,
inference(resolution,[],[f365,f129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS265+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 13:48:17 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 Running first-order model finding
% 0.10/0.39 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
% 0.10/0.45 % (827362)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (827369)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2051694649:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (827368)% WARNING: option uhcvi not known.
% 0.10/0.45 % (827367)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2910014988_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % (827370)dis+10_1_sil=32000:sp=arity:random_seed=2577275581:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (827371)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3052037122:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (827372)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3388232022:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % (827373)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2381443475:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % (827368)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=210239013:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.45 % TRYING [1]
% 0.10/0.45 % TRYING [2]
% 0.10/0.45 % (827371) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-827362-827371"...
% 0.10/0.45 % TRYING [3]
% 0.10/0.45 % (827371)...printing done.
% 0.10/0.45 % (827371)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 % (827371)------------------------------
% 0.10/0.45 % (827371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (827371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (827371)CaDiCaL version: 2.1.3
% 0.10/0.45 % (827371)Termination reason: Refutation
% 0.10/0.45 % (827371)Time elapsed: 0.009 s
% 0.10/0.45 % (827371)Peak memory usage: 11 MB
% 0.10/0.45 % (827371)Instructions burned: 14 (million)
% 0.10/0.45 % (827362)Success in time 0.045 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------