%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS258+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 : n003.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 11:42:42 AM UTC 2026
% Result : Theorem 0.16s 0.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 11 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 46 ( 16 ~; 20 |; 3 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 53 ( 47 !; 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(f6,axiom,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
& ! [X3] :
( model(X3,X0)
<=> model(X3,X1) ) )
<=> status(X0,X1,eqv) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',eqv) ).
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(f27,axiom,
? [X0] :
! [X1] : model(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',tautology) ).
fof(f33,conjecture,
mighta(eqv,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_eqv_thm) ).
fof(f34,negated_conjecture,
~ mighta(eqv,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ mighta(eqv,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(f46,plain,
! [X0,X1] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f62,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ model(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f67,plain,
! [X2,X0,X1] :
( status(X0,X1,eqv)
| ~ model(sK8(X0,X1),X1)
| ~ model(sK8(X0,X1),X0)
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f6]) ).
fof(f121,plain,
! [X2,X3,X0,X1] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0)
| mighta(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f126,plain,
! [X1] : model(X1,sK39),
inference(cnf_transformation,[],[f27]) ).
fof(f141,plain,
~ mighta(eqv,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f156,plain,
! [X0,X1] :
( ~ status(X0,X1,thm)
| model(sK7(X0,X1),X1) ),
inference(consistent_polarity_flipping,[],[f62]) ).
fof(f159,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,eqv)
| model(sK8(X0,X1),X1)
| model(sK8(X0,X1),X0)
| model(X2,X0) ),
inference(consistent_polarity_flipping,[],[f67]) ).
fof(f215,plain,
! [X2,X3,X0,X1] :
( ~ mighta(X0,X1)
| status(X2,X3,X0)
| status(X2,X3,X1) ),
inference(consistent_polarity_flipping,[],[f121]) ).
fof(f220,plain,
! [X1] : ~ model(X1,sK39),
inference(consistent_polarity_flipping,[],[f126]) ).
fof(f235,plain,
mighta(eqv,thm),
inference(consistent_polarity_flipping,[],[f141]) ).
fof(f714,plain,
! [X0,X1] :
( status(X0,X1,thm)
| status(X0,X1,eqv) ),
inference(resolution,[],[f215,f235]) ).
fof(f716,plain,
! [X0,X1] :
( model(sK7(X0,X1),X1)
| status(X0,X1,eqv) ),
inference(resolution,[],[f714,f156]) ).
fof(f894,plain,
! [X0] : status(X0,sK39,eqv),
inference(resolution,[],[f716,f220]) ).
fof(f904,plain,
! [X0,X1] :
( model(sK8(X0,sK39),sK39)
| model(sK8(X0,sK39),X0)
| model(X1,X0) ),
inference(resolution,[],[f894,f159]) ).
fof(f905,plain,
! [X0,X1] :
( model(sK8(X0,sK39),X0)
| model(X1,X0) ),
inference(forward_subsumption_resolution,[],[f904,f220]) ).
fof(f1064,plain,
model(sK8(sK39,sK39),sK39),
inference(resolution,[],[f905,f220]) ).
fof(f1083,plain,
$false,
inference(forward_subsumption_resolution,[],[f1064,f220]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS258+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n003.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 13:49:26 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.16/0.48 % (539098)Will run a generic schedule for satisfiability detection.
% 0.16/0.48 % (539103)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=211769994_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.48 % (539104)% WARNING: option uhcvi not known.
% 0.16/0.48 % TRYING [1]
% 0.16/0.48 % TRYING [2]
% 0.16/0.48 % TRYING [3]
% 0.16/0.48 % (539104)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=330375721:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.48 % (539107)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=752085762:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.48 % (539105)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1719158117:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.48 % (539106)dis+10_1_sil=32000:sp=arity:random_seed=3384142361:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.48 % (539108)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3329453533:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.48 % (539109)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1597907581:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.48 % TRYING [4]
% 0.16/0.48 % TRYING [5]
% 0.16/0.48 % (539104) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-539098-539104"...
% 0.16/0.48 % (539104)...printing done.
% 0.16/0.48 % (539104)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
% 0.16/0.48 % (539104)------------------------------
% 0.16/0.48 % (539104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.48 % (539104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.48 % (539104)CaDiCaL version: 2.1.3
% 0.16/0.48 % (539104)Termination reason: Refutation
% 0.16/0.48 % (539104)Time elapsed: 0.017 s
% 0.16/0.48 % (539104)Peak memory usage: 12 MB
% 0.16/0.48 % (539104)Instructions burned: 25 (million)
% 0.16/0.48 % (539098)Success in time 0.058 s
% 0.16/0.48 % Vampire exiting
%------------------------------------------------------------------------------