%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS189+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 11:41:51 AM UTC 2026
% Result : Theorem 2.62s 1.33s
% Output : Refutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 9 unt; 0 def)
% Number of atoms : 123 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 144 ( 52 ~; 53 |; 30 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 78 ( 63 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',eth) ).
fof(f21,axiom,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
<=> isa(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa) ).
fof(f33,conjecture,
isa(eth,thm),
file('/export/starexec/sandbox/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(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(f77,plain,
! [X0,X1] :
( ( ( ? [X2] : model(X2,X0)
& ? [X3] : ~ model(X3,X0)
& ! [X4] :
( ( model(X4,X0)
| ~ model(X4,X1) )
& ( model(X4,X1)
| ~ model(X4,X0) ) ) )
| ~ status(X0,X1,eth) )
& ( status(X0,X1,eth)
| ! [X2] : ~ model(X2,X0)
| ! [X3] : model(X3,X0)
| ? [X4] :
( ( ~ model(X4,X1)
| ~ model(X4,X0) )
& ( model(X4,X1)
| model(X4,X0) ) ) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f78,plain,
! [X0,X1] :
( ( ( ? [X2] : model(X2,X0)
& ? [X3] : ~ model(X3,X0)
& ! [X4] :
( ( model(X4,X0)
| ~ model(X4,X1) )
& ( model(X4,X1)
| ~ model(X4,X0) ) ) )
| ~ status(X0,X1,eth) )
& ( status(X0,X1,eth)
| ! [X2] : ~ model(X2,X0)
| ! [X3] : model(X3,X0)
| ? [X4] :
( ( ~ model(X4,X1)
| ~ model(X4,X0) )
& ( model(X4,X1)
| model(X4,X0) ) ) ) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0,X1] :
( ( ( ? [X2] : model(X2,X0)
& ? [X3] : ~ model(X3,X0)
& ! [X4] :
( ( model(X4,X0)
| ~ model(X4,X1) )
& ( model(X4,X1)
| ~ model(X4,X0) ) ) )
| ~ status(X0,X1,eth) )
& ( status(X0,X1,eth)
| ! [X5] : ~ model(X5,X0)
| ! [X6] : model(X6,X0)
| ? [X7] :
( ( ~ model(X7,X1)
| ~ model(X7,X0) )
& ( model(X7,X1)
| model(X7,X0) ) ) ) ),
inference(rectify,[],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( ( ( model(sK17(X0),X0)
& ~ model(sK18(X0),X0)
& ! [X4] :
( ( model(X4,X0)
| ~ model(X4,X1) )
& ( model(X4,X1)
| ~ model(X4,X0) ) ) )
| ~ status(X0,X1,eth) )
& ( status(X0,X1,eth)
| ! [X5] : ~ model(X5,X0)
| ! [X6] : model(X6,X0)
| ( ( ~ model(sK19(X0,X1),X1)
| ~ model(sK19(X0,X1),X0) )
& ( model(sK19(X0,X1),X1)
| model(sK19(X0,X1),X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18,sK19]),skolemize(X2,sK17(X0)),skolemize(X3,sK18(X0)),skolemize(X7,sK19(X0,X1))],[f79]) ).
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(f140,plain,
! [X0,X1] :
( model(sK9(X0,X1),X0)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f64]) ).
fof(f141,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ model(sK9(X0,X1),X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f159,plain,
! [X0,X1,X4] :
( ~ status(X0,X1,eth)
| ~ model(X4,X0)
| model(X4,X1) ),
inference(cnf_transformation,[],[f80]) ).
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(eth,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f235,plain,
status(sK41(eth,thm),sK42(eth,thm),eth),
inference(resolution,[],[f200,f221]) ).
fof(f237,plain,
! [X0] :
( model(X0,sK42(eth,thm))
| ~ model(X0,sK41(eth,thm)) ),
inference(resolution,[],[f235,f159]) ).
fof(f238,plain,
! [X0] :
( ~ model(sK9(sK41(X0,thm),sK42(X0,thm)),sK42(X0,thm))
| isa(X0,thm) ),
inference(resolution,[],[f201,f141]) ).
fof(f538,plain,
( isa(eth,thm)
| ~ model(sK9(sK41(eth,thm),sK42(eth,thm)),sK41(eth,thm)) ),
inference(resolution,[],[f238,f237]) ).
fof(f539,plain,
~ model(sK9(sK41(eth,thm),sK42(eth,thm)),sK41(eth,thm)),
inference(forward_subsumption_resolution,[],[f538,f221]) ).
fof(f540,plain,
status(sK41(eth,thm),sK42(eth,thm),thm),
inference(resolution,[],[f539,f140]) ).
fof(f542,plain,
isa(eth,thm),
inference(resolution,[],[f540,f201]) ).
fof(f544,plain,
$false,
inference(forward_subsumption_resolution,[],[f542,f221]) ).
%------------------------------------------------------------------------------
%----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/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n011.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 13:36:01 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.62/1.33 % (2415040)Detected formulas, will run a generic FOF schedule.
% 2.62/1.33 % (2415155)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3138180397:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.62/1.33 % (2415155)First to succeed.
% 2.62/1.33 % (2415155)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2415040"
% 2.62/1.33 % (2415154)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3314446599:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.62/1.33 % (2415156)dis-21_1_sil=8000:lcm=predicate:random_seed=1694314726:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.62/1.33 % (2415152)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=347298712:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.62/1.33 % (2415150)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3616722760:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.62/1.33 % (2415151)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2970839409:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.62/1.33 % (2415153)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3315485215:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.62/1.33 % (2415154)Also succeeded, but the first one will report.
% 2.62/1.33 % (2415153)Refutation not found, incomplete strategy
% 2.62/1.33 % (2415153)------------------------------
% 2.62/1.33 % (2415153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.33 % (2415153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.33 % (2415153)CaDiCaL version: 2.1.3
% 2.62/1.33 % (2415153)Termination reason: Refutation not found, incomplete strategy
% 2.62/1.33 % (2415153)Time elapsed: 0.001 s
% 2.62/1.33 % (2415153)Peak memory usage: 87 MB
% 2.62/1.33 % (2415153)Instructions burned: 1 (million)
% 2.62/1.33 % (2415156)Also succeeded, but the first one will report.
% 2.62/1.33 % (2415155)Refutation found. Thanks to Tanya!
% 2.62/1.33 % SZS status Theorem for theBenchmark
% 2.62/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 2.62/1.33 % (2415155)------------------------------
% 2.62/1.33 % (2415155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.33 % (2415155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.33 % (2415155)CaDiCaL version: 2.1.3
% 2.62/1.33 % (2415155)Termination reason: Refutation
% 2.62/1.33 % (2415155)Time elapsed: 0.006 s
% 2.62/1.33 % (2415155)Peak memory usage: 89 MB
% 2.62/1.33 % (2415155)Instructions burned: 13 (million)
% 2.62/1.33 % (2415155)------------------------------
% 2.62/1.33 % (2415155)------------------------------
% 2.62/1.33 % (2415040)Success in time 0.283 s
% 2.62/1.33 % Vampire exiting
%------------------------------------------------------------------------------