%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS215+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 : n020.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 11:42:35 AM UTC 2026
% Result : Theorem 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 10 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 69 ( 32 ~; 25 |; 3 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 74 ( 67 !; 7 ?)
% 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(f13,axiom,
! [X0,X1] :
( ~ ? [X2] : model(X2,X0)
<=> status(X0,X1,cax) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',cax) ).
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(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(f26,axiom,
! [X0,X1] :
( model(X0,X1)
<=> ~ model(X0,not(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',not) ).
fof(f27,axiom,
? [X0] :
! [X1] : model(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',tautology) ).
fof(f33,conjecture,
nota(csa,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota_csa_thm) ).
fof(f34,negated_conjecture,
~ nota(csa,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ nota(csa,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(f42,plain,
! [X0,X1] :
( ! [X2] : ~ model(X2,X0)
<=> status(X0,X1,cax) ),
inference(ennf_transformation,[],[f13]) ).
fof(f46,plain,
! [X0,X1] :
( nota(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| status(X2,X3,X1) ) ),
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(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(f110,plain,
! [X2,X0,X1] :
( status(X0,X1,csa)
| ~ model(X2,not(X1))
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f121,plain,
! [X2,X3,X0,X1] :
( nota(X0,X1)
| ~ status(X2,X3,X0)
| status(X2,X3,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f124,plain,
! [X0,X1] :
( model(X0,not(X1))
| model(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f125,plain,
! [X0,X1] :
( ~ model(X0,not(X1))
| ~ model(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f126,plain,
! [X1] : model(X1,sK39),
inference(cnf_transformation,[],[f27]) ).
fof(f141,plain,
~ nota(csa,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f153,plain,
! [X0,X1] :
( model(sK26(X0),X0)
| ~ model(X1,X0) ),
inference(resolution,[],[f99,f98]) ).
fof(f155,plain,
! [X0,X1] :
( ~ model(X1,not(X0))
| ~ model(sK26(not(X0)),X0) ),
inference(resolution,[],[f153,f125]) ).
fof(f158,plain,
! [X0,X1] :
( model(sK26(not(X1)),not(X1))
| model(X0,X1) ),
inference(resolution,[],[f153,f124]) ).
fof(f172,plain,
! [X0] : ~ model(X0,not(sK39)),
inference(resolution,[],[f155,f126]) ).
fof(f208,plain,
model(sK26(not(not(sK39))),not(not(sK39))),
inference(resolution,[],[f158,f172]) ).
fof(f357,plain,
! [X0,X1] :
( ~ status(X0,X1,csa)
| status(X0,X1,thm) ),
inference(resolution,[],[f121,f141]) ).
fof(f358,plain,
! [X2,X0,X1] :
( status(X0,X1,thm)
| ~ model(X2,not(X1))
| ~ model(X2,X0) ),
inference(resolution,[],[f357,f110]) ).
fof(f363,plain,
! [X2,X3,X0,X1] :
( ~ model(X0,not(X1))
| ~ model(X0,X2)
| ~ model(X3,X2)
| model(X3,X1) ),
inference(resolution,[],[f358,f63]) ).
fof(f404,plain,
! [X2,X0,X1] :
( ~ model(X1,not(X2))
| ~ model(X1,sK39)
| model(X0,X2) ),
inference(resolution,[],[f363,f126]) ).
fof(f427,plain,
! [X2,X0,X1] :
( ~ model(X1,not(X2))
| model(X0,X2) ),
inference(forward_subsumption_resolution,[],[f404,f126]) ).
fof(f470,plain,
! [X0] : model(X0,not(sK39)),
inference(resolution,[],[f427,f208]) ).
fof(f490,plain,
$false,
inference(forward_subsumption_resolution,[],[f470,f172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS215+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n020.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 13:41:05 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.17/0.48 % (3394305)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (3394310)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=58562319_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.48 % (3394311)% WARNING: option uhcvi not known.
% 0.17/0.48 % TRYING [1]
% 0.17/0.48 % TRYING [2]
% 0.17/0.48 % TRYING [3]
% 0.17/0.48 % (3394311)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2841933541:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.48 % (3394312)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=952606667:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.48 % (3394313)dis+10_1_sil=32000:sp=arity:random_seed=1959716858:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.48 % (3394314)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1810096538:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.48 % (3394315)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3982026129:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.48 % (3394316)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1255839483:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48 % TRYING [4]
% 0.17/0.48 % TRYING [5]
% 0.17/0.48 % (3394314) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3394305-3394314"...
% 0.17/0.48 % (3394314)...printing done.
% 0.17/0.48 % (3394314)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Theorem for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (3394314)------------------------------
% 0.17/0.48 % (3394314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (3394314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (3394314)CaDiCaL version: 2.1.3
% 0.17/0.48 % (3394314)Termination reason: Refutation
% 0.17/0.48 % (3394314)Time elapsed: 0.012 s
% 0.17/0.48 % (3394314)Peak memory usage: 11 MB
% 0.17/0.48 % (3394314)Instructions burned: 19 (million)
% 0.17/0.48 % (3394305)Success in time 0.051 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------