%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS187+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 : n007.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 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 9 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 83 ( 30 ~; 28 |; 17 &)
% ( 4 <=>; 4 =>; 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 : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 68 ( 57 !; 11 ?)
% 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(f7,axiom,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
& ! [X3] : model(X3,X1) )
<=> status(X0,X1,tac) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',tac) ).
fof(f21,axiom,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
<=> isa(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',isa) ).
fof(f33,conjecture,
isa(tac,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_tac_thm) ).
fof(f34,negated_conjecture,
~ isa(tac,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ isa(tac,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(f62,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) ) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f63,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) ) ) ),
inference(rectify,[],[f62]) ).
fof(f64,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( ~ model(sK9(X0,X1),X1)
& model(sK9(X0,X1),X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1))],[f63]) ).
fof(f69,plain,
! [X0,X1] :
( ( ( ? [X2] : model(X2,X0)
& ! [X3] : model(X3,X1) )
| ~ status(X0,X1,tac) )
& ( status(X0,X1,tac)
| ! [X2] : ~ model(X2,X0)
| ? [X3] : ~ model(X3,X1) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f70,plain,
! [X0,X1] :
( ( ( ? [X2] : model(X2,X0)
& ! [X3] : model(X3,X1) )
| ~ status(X0,X1,tac) )
& ( status(X0,X1,tac)
| ! [X2] : ~ model(X2,X0)
| ? [X3] : ~ model(X3,X1) ) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
! [X0,X1] :
( ( ( ? [X2] : model(X2,X0)
& ! [X3] : model(X3,X1) )
| ~ status(X0,X1,tac) )
& ( status(X0,X1,tac)
| ! [X4] : ~ model(X4,X0)
| ? [X5] : ~ model(X5,X1) ) ),
inference(rectify,[],[f70]) ).
fof(f72,plain,
! [X0,X1] :
( ( ( model(sK12(X0),X0)
& ! [X3] : model(X3,X1) )
| ~ status(X0,X1,tac) )
& ( status(X0,X1,tac)
| ! [X4] : ~ model(X4,X0)
| ~ model(sK13(X1),X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X2,sK12(X0)),skolemize(X5,sK13(X1))],[f71]) ).
fof(f118,plain,
! [X0,X1] :
( isa(X0,X1)
| ( ~ status(sK41(X0,X1),sK42(X0,X1),X1)
& status(sK41(X0,X1),sK42(X0,X1),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41,sK42]),skolemize(X2,sK41(X0,X1)),skolemize(X3,sK42(X0,X1))],[f46]) ).
fof(f141,plain,
! [X0,X1] :
( ~ model(sK9(X0,X1),X1)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f64]) ).
fof(f149,plain,
! [X3,X0,X1] :
( ~ status(X0,X1,tac)
| model(X3,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f200,plain,
! [X0,X1] :
( isa(X0,X1)
| status(sK41(X0,X1),sK42(X0,X1),X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f201,plain,
! [X0,X1] :
( ~ status(sK41(X0,X1),sK42(X0,X1),X1)
| isa(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f221,plain,
~ isa(tac,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f652,plain,
status(sK41(tac,thm),sK42(tac,thm),tac),
inference(resolution,[],[f200,f221]) ).
fof(f654,plain,
! [X0] : model(X0,sK42(tac,thm)),
inference(resolution,[],[f652,f149]) ).
fof(f677,plain,
! [X0] : status(X0,sK42(tac,thm),thm),
inference(resolution,[],[f654,f141]) ).
fof(f875,plain,
isa(tac,thm),
inference(resolution,[],[f677,f201]) ).
fof(f876,plain,
$false,
inference(forward_subsumption_resolution,[],[f875,f221]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS187+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n007.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 13:33:40 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.17/0.47 % (1421873)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (1421883)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2232925867:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (1421879)% WARNING: option uhcvi not known.
% 0.17/0.47 % (1421878)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=222146448_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % (1421879)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3739609131:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (1421880)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1829439784:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (1421881)dis+10_1_sil=32000:sp=arity:random_seed=2802289555:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (1421882)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1951406610:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (1421884)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2011207332:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % (1421883) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1421873-1421883"...
% 0.17/0.47 % (1421883)...printing done.
% 0.17/0.47 % (1421883)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (1421883)------------------------------
% 0.17/0.47 % (1421883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (1421883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (1421883)CaDiCaL version: 2.1.3
% 0.17/0.47 % (1421883)Termination reason: Refutation
% 0.17/0.47 % (1421883)Time elapsed: 0.009 s
% 0.17/0.47 % (1421883)Peak memory usage: 12 MB
% 0.17/0.47 % (1421883)Instructions burned: 26 (million)
% 0.17/0.47 % (1421873)Success in time 0.044 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------