%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS200+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 : n012.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 11:41:53 AM UTC 2026
% Result : Theorem 2.33s 0.93s
% Output : Refutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 10 unt; 0 def)
% Number of atoms : 105 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 119 ( 50 ~; 43 |; 18 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 97 ( 78 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( ~ ? [X2] : model(X2,X0)
=> ~ ? [X3] : model(X3,X1) )
<=> status(X0,X1,unp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unp) ).
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(f22,axiom,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X0)
& ~ status(X2,X3,X1) )
<=> nota(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota) ).
fof(f28,axiom,
? [X0] :
( ? [X1] : model(X1,X0)
& ? [X2] : ~ model(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satisfiable) ).
fof(f29,axiom,
? [X0] :
! [X1] : ~ model(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contradiction) ).
fof(f33,conjecture,
nota(unp,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota_unp_thm) ).
fof(f34,negated_conjecture,
~ nota(unp,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ nota(unp,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(f37,plain,
! [X0,X1] :
( ( ! [X3] : ~ model(X3,X1)
| ? [X2] : model(X2,X0) )
<=> status(X0,X1,unp) ),
inference(ennf_transformation,[],[f1]) ).
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] :
( nota(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| status(X2,X3,X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f41,plain,
! [X0,X1] :
( ( ! [X3] : ~ model(X3,X1)
| ? [X2] : model(X2,X0)
| ~ status(X0,X1,unp) )
& ( status(X0,X1,unp)
| ( ? [X3] : model(X3,X1)
& ! [X2] : ~ model(X2,X0) ) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f42,plain,
! [X0,X1] :
( ( ! [X3] : ~ model(X3,X1)
| ? [X2] : model(X2,X0)
| ~ status(X0,X1,unp) )
& ( status(X0,X1,unp)
| ( ? [X3] : model(X3,X1)
& ! [X2] : ~ model(X2,X0) ) ) ),
inference(flattening,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ( ! [X2] : ~ model(X2,X1)
| ? [X3] : model(X3,X0)
| ~ status(X0,X1,unp) )
& ( status(X0,X1,unp)
| ( ? [X4] : model(X4,X1)
& ! [X5] : ~ model(X5,X0) ) ) ),
inference(rectify,[],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( ( ! [X2] : ~ model(X2,X1)
| model(sK0(X0),X0)
| ~ status(X0,X1,unp) )
& ( status(X0,X1,unp)
| ( model(sK1(X1),X1)
& ! [X5] : ~ model(X5,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X3,sK0(X0)),skolemize(X4,sK1(X1))],[f43]) ).
fof(f45,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(f46,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,[],[f45]) ).
fof(f47,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))],[f46]) ).
fof(f51,plain,
! [X1] : ~ model(X1,sK16),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X0,sK16)],[f29]) ).
fof(f52,plain,
( model(sK18,sK17)
& ~ model(sK19,sK17) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18,sK19]),skolemize(X0,sK17),skolemize(X1,sK18),skolemize(X2,sK19)],[f28]) ).
fof(f54,plain,
~ nota(unp,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f56,plain,
! [X0,X1] :
( status(X0,X1,unp)
| model(sK1(X1),X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f57,plain,
! [X2,X0,X1] :
( model(sK0(X0),X0)
| ~ model(X2,X1)
| ~ status(X0,X1,unp) ),
inference(cnf_transformation,[],[f44]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,thm)
| ~ model(X2,X0)
| model(X2,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f61,plain,
! [X2,X3,X0,X1] :
( status(X2,X3,X1)
| ~ status(X2,X3,X0)
| nota(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f73,plain,
! [X1] : ~ model(X1,sK16),
inference(cnf_transformation,[],[f51]) ).
fof(f75,plain,
model(sK18,sK17),
inference(cnf_transformation,[],[f52]) ).
fof(f88,plain,
! [X0,X1] :
( ~ status(sK16,X1,unp)
| ~ model(X0,X1) ),
inference(resolution,[],[f57,f73]) ).
fof(f90,plain,
! [X2,X3,X0,X1] :
( ~ status(X0,X1,X2)
| nota(X2,thm)
| ~ model(X3,X0)
| model(X3,X1) ),
inference(resolution,[],[f61,f60]) ).
fof(f91,plain,
! [X0,X1] :
( model(sK1(X1),X1)
| ~ model(X0,X1) ),
inference(resolution,[],[f88,f56]) ).
fof(f95,plain,
! [X2,X0,X1] :
( nota(unp,thm)
| ~ model(X0,X1)
| model(X0,X2)
| model(sK1(X2),X2) ),
inference(resolution,[],[f90,f56]) ).
fof(f103,plain,
! [X2,X0,X1] :
( nota(unp,thm)
| ~ model(X0,X1)
| model(sK1(X2),X2) ),
inference(forward_subsumption_resolution,[],[f95,f91]) ).
fof(f104,plain,
! [X2,X0,X1] :
( model(sK1(X2),X2)
| ~ model(X0,X1) ),
inference(forward_subsumption_resolution,[],[f103,f54]) ).
fof(f105,plain,
! [X0,X1] : ~ model(X0,X1),
inference(resolution,[],[f104,f73]) ).
fof(f129,plain,
$false,
inference(resolution,[],[f105,f75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : KRS200+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 27 13:37:50 UTC 2026
% 0.03/0.32 % CPUTime :
% 0.03/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 2.33/0.93 % (2391649)Detected formulas, will run a generic FOF schedule.
% 2.33/0.93 % (2391660)dis-21_1_sil=8000:lcm=predicate:random_seed=4089131333: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)
% 2.33/0.93 % (2391656)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=243741089:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.33/0.93 % (2391654)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=1528225495:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.33/0.93 % (2391657)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4235559390:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.33/0.93 % (2391655)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=655150071:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.33/0.93 % (2391658)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3078262022:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.33/0.93 % (2391657)Refutation not found, incomplete strategy
% 2.33/0.93 % (2391657)------------------------------
% 2.33/0.93 % (2391657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.33/0.93 % (2391657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.93 % (2391657)CaDiCaL version: 2.1.3
% 2.33/0.93 % (2391657)Termination reason: Refutation not found, incomplete strategy
% 2.33/0.93 % (2391657)Time elapsed: 0.001 s
% 2.33/0.93 % (2391657)Peak memory usage: 87 MB
% 2.33/0.93 % (2391658)First to succeed.
% 2.33/0.93 % (2391658)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2391649"
% 2.33/0.93 % (2391660)Also succeeded, but the first one will report.
% 2.33/0.93 % (2391659)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1690471362:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.33/0.93 % (2391659)Also succeeded, but the first one will report.
% 2.33/0.93 % (2391657)------------------------------
% 2.33/0.93 % (2391657)------------------------------
% 2.33/0.93 % (2391658)Refutation found. Thanks to Tanya!
% 2.33/0.93 % SZS status Theorem for theBenchmark
% 2.33/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 2.33/0.93 % (2391658)------------------------------
% 2.33/0.93 % (2391658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.33/0.93 % (2391658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.93 % (2391658)CaDiCaL version: 2.1.3
% 2.33/0.93 % (2391658)Termination reason: Refutation
% 2.33/0.93 % (2391658)Time elapsed: 0.002 s
% 2.33/0.93 % (2391658)Peak memory usage: 88 MB
% 2.33/0.93 % (2391658)Instructions burned: 3 (million)
% 2.33/0.93 % (2391658)------------------------------
% 2.33/0.93 % (2391658)------------------------------
% 2.33/0.93 % (2391649)Success in time 0.302 s
% 2.33/0.93 % Vampire exiting
%------------------------------------------------------------------------------