%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS188+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 11:41:51 AM UTC 2026
% Result : Theorem 2.45s 1.22s
% Output : Refutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 6 unt; 0 def)
% Number of atoms : 126 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 143 ( 48 ~; 51 |; 34 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 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 : 87 ( 70 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
fof(f8,axiom,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
& ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X4] :
( model(X4,X1)
& ~ model(X4,X0) ) )
<=> status(X0,X1,wec) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wec) ).
fof(f21,axiom,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> status(X2,X3,X1) )
<=> isa(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa) ).
fof(f33,conjecture,
isa(wec,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa_wec_thm) ).
fof(f34,negated_conjecture,
~ isa(wec,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ isa(wec,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(f37,plain,
! [X0,X1] :
( isa(X0,X1)
| ? [X2,X3] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
<=> status(X0,X1,thm) ),
inference(ennf_transformation,[],[f5]) ).
fof(f39,plain,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
& ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
& ? [X4] :
( model(X4,X1)
& ~ model(X4,X0) ) )
<=> status(X0,X1,wec) ),
inference(ennf_transformation,[],[f8]) ).
fof(f41,plain,
! [X0,X1] :
( isa(X0,X1)
| ( ~ status(sK0(X0,X1),sK1(X0,X1),X1)
& status(sK0(X0,X1),sK1(X0,X1),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f37]) ).
fof(f42,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,[],[f38]) ).
fof(f43,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,[],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( ~ model(sK2(X0,X1),X1)
& model(sK2(X0,X1),X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1))],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( ( ( ? [X2] : model(X2,X0)
& ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
& ? [X4] :
( model(X4,X1)
& ~ model(X4,X0) ) )
| ~ status(X0,X1,wec) )
& ( status(X0,X1,wec)
| ! [X2] : ~ model(X2,X0)
| ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
| ! [X4] :
( ~ model(X4,X1)
| model(X4,X0) ) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f46,plain,
! [X0,X1] :
( ( ( ? [X2] : model(X2,X0)
& ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
& ? [X4] :
( model(X4,X1)
& ~ model(X4,X0) ) )
| ~ status(X0,X1,wec) )
& ( status(X0,X1,wec)
| ! [X2] : ~ model(X2,X0)
| ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
| ! [X4] :
( ~ model(X4,X1)
| model(X4,X0) ) ) ),
inference(flattening,[],[f45]) ).
fof(f47,plain,
! [X0,X1] :
( ( ( ? [X2] : model(X2,X0)
& ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
& ? [X4] :
( model(X4,X1)
& ~ model(X4,X0) ) )
| ~ status(X0,X1,wec) )
& ( status(X0,X1,wec)
| ! [X5] : ~ model(X5,X0)
| ? [X6] :
( ~ model(X6,X1)
& model(X6,X0) )
| ! [X7] :
( ~ model(X7,X1)
| model(X7,X0) ) ) ),
inference(rectify,[],[f46]) ).
fof(f48,plain,
! [X0,X1] :
( ( ( model(sK3(X0),X0)
& ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
& model(sK4(X0,X1),X1)
& ~ model(sK4(X0,X1),X0) )
| ~ status(X0,X1,wec) )
& ( status(X0,X1,wec)
| ! [X5] : ~ model(X5,X0)
| ( ~ model(sK5(X0,X1),X1)
& model(sK5(X0,X1),X0) )
| ! [X7] :
( ~ model(X7,X1)
| model(X7,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X2,sK3(X0)),skolemize(X4,sK4(X0,X1)),skolemize(X6,sK5(X0,X1))],[f47]) ).
fof(f55,plain,
~ isa(wec,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f56,plain,
! [X0,X1] :
( status(sK0(X0,X1),sK1(X0,X1),X0)
| isa(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f57,plain,
! [X0,X1] :
( ~ status(sK0(X0,X1),sK1(X0,X1),X1)
| isa(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f58,plain,
! [X0,X1] :
( model(sK2(X0,X1),X0)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f44]) ).
fof(f59,plain,
! [X0,X1] :
( ~ model(sK2(X0,X1),X1)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f44]) ).
fof(f65,plain,
! [X3,X0,X1] :
( ~ status(X0,X1,wec)
| ~ model(X3,X0)
| model(X3,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f100,plain,
! [X0,X1] :
( model(X1,sK1(wec,X0))
| ~ model(X1,sK0(wec,X0))
| isa(wec,X0) ),
inference(resolution,[],[f56,f65]) ).
fof(f107,plain,
! [X0,X1] :
( ~ model(sK2(X0,sK1(wec,X1)),sK0(wec,X1))
| isa(wec,X1)
| status(X0,sK1(wec,X1),thm) ),
inference(resolution,[],[f100,f59]) ).
fof(f136,plain,
! [X0] :
( isa(wec,X0)
| status(sK0(wec,X0),sK1(wec,X0),thm)
| status(sK0(wec,X0),sK1(wec,X0),thm) ),
inference(resolution,[],[f107,f58]) ).
fof(f137,plain,
! [X0] :
( status(sK0(wec,X0),sK1(wec,X0),thm)
| isa(wec,X0) ),
inference(duplicate_literal_removal,[],[f136]) ).
fof(f139,plain,
( isa(wec,thm)
| isa(wec,thm) ),
inference(resolution,[],[f137,f57]) ).
fof(f140,plain,
isa(wec,thm),
inference(duplicate_literal_removal,[],[f139]) ).
fof(f141,plain,
$false,
inference(forward_subsumption_resolution,[],[f140,f55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS188+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n020.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 13:36:35 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.45/1.22 % (3390053)Detected formulas, will run a generic FOF schedule.
% 2.45/1.22 % (3390062)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=509262719:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.45/1.22 % (3390062)First to succeed.
% 2.45/1.22 % (3390062)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3390053"
% 2.45/1.22 % (3390061)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1994504990:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.45/1.22 % (3390061)Refutation not found, incomplete strategy
% 2.45/1.22 % (3390061)------------------------------
% 2.45/1.22 % (3390061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.45/1.22 % (3390061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/1.22 % (3390061)CaDiCaL version: 2.1.3
% 2.45/1.22 % (3390061)Termination reason: Refutation not found, incomplete strategy
% 2.45/1.22 % (3390061)Time elapsed: 0.002 s
% 2.45/1.22 % (3390061)Peak memory usage: 88 MB
% 2.45/1.22 % (3390061)Instructions burned: 1 (million)
% 2.45/1.22 % (3390059)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=4004771009:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.45/1.22 % (3390058)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=1718270927:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.45/1.22 % (3390060)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=4062487446:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.45/1.22 % (3390063)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=420685359:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.45/1.22 % (3390064)dis-21_1_sil=8000:lcm=predicate:random_seed=3874749309: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)
% 2.45/1.22 % (3390063)Also succeeded, but the first one will report.
% 2.45/1.22 % (3390064)Also succeeded, but the first one will report.
% 2.45/1.22 % (3390062)Refutation found. Thanks to Tanya!
% 2.45/1.22 % SZS status Theorem for theBenchmark
% 2.45/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 2.45/1.22 % (3390062)------------------------------
% 2.45/1.22 % (3390062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.45/1.22 % (3390062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.45/1.22 % (3390062)CaDiCaL version: 2.1.3
% 2.45/1.22 % (3390062)Termination reason: Refutation
% 2.45/1.22 % (3390062)Time elapsed: 0.002 s
% 2.45/1.22 % (3390062)Peak memory usage: 88 MB
% 2.45/1.22 % (3390062)Instructions burned: 3 (million)
% 2.45/1.22 % (3390062)------------------------------
% 2.45/1.22 % (3390062)------------------------------
% 2.45/1.22 % (3390053)Success in time 0.274 s
% 2.45/1.22 % Vampire exiting
%------------------------------------------------------------------------------