%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS233+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 : n026.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 11:42:37 AM UTC 2026
% Result : Theorem 0.16s 0.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 11 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 16 ~; 10 |; 2 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 37 ( 34 !; 3 ?)
% 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(f17,axiom,
! [X0,X1] :
( ? [X2] :
( model(X2,X0)
& model(X2,not(X1)) )
<=> status(X0,X1,csa) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',csa) ).
fof(f23,axiom,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> ~ status(X2,X3,X1) )
<=> nevera(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',nevera) ).
fof(f26,axiom,
! [X0,X1] :
( model(X0,X1)
<=> ~ model(X0,not(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',not) ).
fof(f33,conjecture,
nevera(csa,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nevera_csa_thm) ).
fof(f34,negated_conjecture,
~ nevera(csa,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ nevera(csa,thm),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> ~ status(X2,X3,X1) )
=> nevera(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f23]) ).
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] :
( nevera(X0,X1)
| ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) ) ),
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(f111,plain,
! [X0,X1] :
( ~ status(X0,X1,csa)
| model(sK34(X0,X1),not(X1)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f112,plain,
! [X0,X1] :
( ~ status(X0,X1,csa)
| model(sK34(X0,X1),X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1] :
( nevera(X0,X1)
| status(sK39(X0,X1),sK40(X0,X1),X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f122,plain,
! [X0,X1] :
( nevera(X0,X1)
| status(sK39(X0,X1),sK40(X0,X1),X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f126,plain,
! [X0,X1] :
( ~ model(X0,not(X1))
| ~ model(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f142,plain,
~ nevera(csa,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f358,plain,
status(sK39(csa,thm),sK40(csa,thm),csa),
inference(resolution,[],[f121,f142]) ).
fof(f359,plain,
model(sK34(sK39(csa,thm),sK40(csa,thm)),not(sK40(csa,thm))),
inference(resolution,[],[f358,f111]) ).
fof(f360,plain,
model(sK34(sK39(csa,thm),sK40(csa,thm)),sK39(csa,thm)),
inference(resolution,[],[f358,f112]) ).
fof(f361,plain,
status(sK39(csa,thm),sK40(csa,thm),thm),
inference(resolution,[],[f122,f142]) ).
fof(f362,plain,
! [X0] :
( model(X0,sK40(csa,thm))
| ~ model(X0,sK39(csa,thm)) ),
inference(resolution,[],[f361,f63]) ).
fof(f512,plain,
~ model(sK34(sK39(csa,thm),sK40(csa,thm)),sK40(csa,thm)),
inference(resolution,[],[f359,f126]) ).
fof(f559,plain,
~ model(sK34(sK39(csa,thm),sK40(csa,thm)),sK39(csa,thm)),
inference(resolution,[],[f512,f362]) ).
fof(f562,plain,
$false,
inference(forward_subsumption_resolution,[],[f559,f360]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS233+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n026.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 13:47:12 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 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 % (2858330)Will run a generic schedule for satisfiability detection.
% 0.16/0.48 % (2858336)% WARNING: option uhcvi not known.
% 0.16/0.48 % (2858336)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3301858988:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.48 % (2858335)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2311613919_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.48 % (2858339)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4047848999:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.48 % (2858337)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=319893816:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.48 % (2858340)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3041333933:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.48 % (2858338)dis+10_1_sil=32000:sp=arity:random_seed=1722073819:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.48 % (2858341)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=476769346:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.48 % TRYING [1]
% 0.16/0.48 % TRYING [2]
% 0.16/0.48 % TRYING [3]
% 0.16/0.48 % (2858339) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2858330-2858339"...
% 0.16/0.48 % (2858339)...printing done.
% 0.16/0.48 % (2858339)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
% 0.16/0.49 % (2858339)------------------------------
% 0.16/0.49 % (2858339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.49 % (2858339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.49 % (2858339)CaDiCaL version: 2.1.3
% 0.16/0.49 % (2858339)Termination reason: Refutation
% 0.16/0.49 % (2858339)Time elapsed: 0.011 s
% 0.16/0.49 % (2858339)Peak memory usage: 12 MB
% 0.16/0.49 % (2858339)Instructions burned: 18 (million)
% 0.16/0.49 % (2858330)Success in time 0.054 s
% 0.16/0.49 % Vampire exiting
%------------------------------------------------------------------------------