%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS189+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 : n011.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 11:42:29 AM UTC 2026
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 35 ( 14 ~; 9 |; 3 &)
% ( 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 35 ( 31 !; 4 ?)
% 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(f9,axiom,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
& ? [X3] : ~ model(X3,X0)
& ! [X4] :
( model(X4,X0)
<=> model(X4,X1) ) )
<=> status(X0,X1,eth) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',eth) ).
fof(f21,axiom,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
<=> isa(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',isa) ).
fof(f33,conjecture,
isa(eth,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa_eth_thm) ).
fof(f34,negated_conjecture,
~ isa(eth,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ isa(eth,thm),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
=> isa(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f21]) ).
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] :
( isa(X0,X1)
| ? [X2,X3] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f61,plain,
! [X0,X1] :
( status(X0,X1,thm)
| model(sK7(X0,X1),X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f62,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ model(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f79,plain,
! [X0,X1,X4] :
( ~ status(X0,X1,eth)
| model(X4,X1)
| ~ model(X4,X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f121,plain,
! [X0,X1] :
( isa(X0,X1)
| status(sK39(X0,X1),sK40(X0,X1),X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f122,plain,
! [X0,X1] :
( isa(X0,X1)
| ~ status(sK39(X0,X1),sK40(X0,X1),X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f142,plain,
~ isa(eth,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f358,plain,
status(sK39(eth,thm),sK40(eth,thm),eth),
inference(resolution,[],[f121,f142]) ).
fof(f359,plain,
! [X0] :
( model(X0,sK40(eth,thm))
| ~ model(X0,sK39(eth,thm)) ),
inference(resolution,[],[f358,f79]) ).
fof(f363,plain,
~ status(sK39(eth,thm),sK40(eth,thm),thm),
inference(resolution,[],[f122,f142]) ).
fof(f364,plain,
~ model(sK7(sK39(eth,thm),sK40(eth,thm)),sK40(eth,thm)),
inference(resolution,[],[f363,f62]) ).
fof(f365,plain,
model(sK7(sK39(eth,thm),sK40(eth,thm)),sK39(eth,thm)),
inference(resolution,[],[f363,f61]) ).
fof(f706,plain,
~ model(sK7(sK39(eth,thm),sK40(eth,thm)),sK39(eth,thm)),
inference(resolution,[],[f364,f359]) ).
fof(f709,plain,
$false,
inference(forward_subsumption_resolution,[],[f706,f365]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS189+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n011.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 13:36:01 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 0.19/0.48 % (2415011)Will run a generic schedule for satisfiability detection.
% 0.19/0.48 % (2415020)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2561889334:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.48 % (2415017)% WARNING: option uhcvi not known.
% 0.19/0.48 % (2415016)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2093380243_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.48 % (2415017)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2259395465:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.48 % (2415018)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=282326612:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.48 % (2415019)dis+10_1_sil=32000:sp=arity:random_seed=992904909:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.48 % (2415021)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1051615909:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.48 % (2415020) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2415011-2415020"...
% 0.19/0.48 % (2415022)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3207761197:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.48 % (2415020)...printing done.
% 0.19/0.48 % (2415020)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Theorem for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (2415020)------------------------------
% 0.19/0.48 % (2415020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.48 % (2415020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.48 % (2415020)CaDiCaL version: 2.1.3
% 0.19/0.48 % (2415020)Termination reason: Refutation
% 0.19/0.48 % (2415020)Time elapsed: 0.008 s
% 0.19/0.48 % (2415020)Peak memory usage: 12 MB
% 0.19/0.48 % (2415020)Instructions burned: 22 (million)
% 0.19/0.48 % (2415011)Success in time 0.033 s
% 0.19/0.48 % Vampire exiting
%------------------------------------------------------------------------------