%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS217+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 : n014.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 11:41:54 AM UTC 2026
% Result : Theorem 2.47s 1.22s
% Output : Refutation 2.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 11 unt; 0 def)
% Number of atoms : 151 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 190 ( 79 ~; 72 |; 32 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 108 ( 89 !; 19 ?)
% 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(f19,axiom,
! [X0,X1] :
( ( ? [X2] :
( model(X2,X0)
& model(X2,X1) )
& ? [X3] :
( model(X3,X0)
& model(X3,not(X1)) ) )
<=> status(X0,X1,noc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',noc) ).
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(f26,axiom,
! [X0,X1] :
( model(X0,X1)
<=> ~ model(X0,not(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not) ).
fof(f27,axiom,
? [X0] :
! [X1] : model(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tautology) ).
fof(f32,axiom,
? [X0,X1,X2] :
( model(X0,X1)
& ~ model(X0,X2)
& ? [X3] : model(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',non_thm_spt) ).
fof(f33,conjecture,
nota(noc,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota_noc_thm) ).
fof(f34,negated_conjecture,
~ nota(noc,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ nota(noc,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] :
( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
<=> status(X0,X1,thm) ),
inference(ennf_transformation,[],[f5]) ).
fof(f38,plain,
! [X0,X1] :
( nota(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| status(X2,X3,X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f40,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,[],[f37]) ).
fof(f41,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,[],[f40]) ).
fof(f42,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( ~ model(sK0(X0,X1),X1)
& model(sK0(X0,X1),X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ( ( ? [X2] :
( model(X2,X0)
& model(X2,X1) )
& ? [X3] :
( model(X3,X0)
& model(X3,not(X1)) ) )
| ~ status(X0,X1,noc) )
& ( status(X0,X1,noc)
| ! [X2] :
( ~ model(X2,X0)
| ~ model(X2,X1) )
| ! [X3] :
( ~ model(X3,X0)
| ~ model(X3,not(X1)) ) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f44,plain,
! [X0,X1] :
( ( ( ? [X2] :
( model(X2,X0)
& model(X2,X1) )
& ? [X3] :
( model(X3,X0)
& model(X3,not(X1)) ) )
| ~ status(X0,X1,noc) )
& ( status(X0,X1,noc)
| ! [X2] :
( ~ model(X2,X0)
| ~ model(X2,X1) )
| ! [X3] :
( ~ model(X3,X0)
| ~ model(X3,not(X1)) ) ) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( ( ( ? [X2] :
( model(X2,X0)
& model(X2,X1) )
& ? [X3] :
( model(X3,X0)
& model(X3,not(X1)) ) )
| ~ status(X0,X1,noc) )
& ( status(X0,X1,noc)
| ! [X4] :
( ~ model(X4,X0)
| ~ model(X4,X1) )
| ! [X5] :
( ~ model(X5,X0)
| ~ model(X5,not(X1)) ) ) ),
inference(rectify,[],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( ( ( model(sK1(X0,X1),X0)
& model(sK1(X0,X1),X1)
& model(sK2(X0,X1),X0)
& model(sK2(X0,X1),not(X1)) )
| ~ status(X0,X1,noc) )
& ( status(X0,X1,noc)
| ! [X4] :
( ~ model(X4,X0)
| ~ model(X4,X1) )
| ! [X5] :
( ~ model(X5,X0)
| ~ model(X5,not(X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X2,sK1(X0,X1)),skolemize(X3,sK2(X0,X1))],[f45]) ).
fof(f47,plain,
( model(sK3,sK4)
& ~ model(sK3,sK5)
& model(sK6,sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6)],[f32]) ).
fof(f52,plain,
! [X1] : model(X1,sK20),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(X0,sK20)],[f27]) ).
fof(f53,plain,
! [X0,X1] :
( ( model(X0,X1)
| model(X0,not(X1)) )
& ( ~ model(X0,not(X1))
| ~ model(X0,X1) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f55,plain,
~ nota(noc,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,thm)
| ~ model(X2,X0)
| model(X2,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f59,plain,
! [X2,X3,X0,X1] :
( status(X2,X3,X1)
| ~ status(X2,X3,X0)
| nota(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f60,plain,
! [X0,X1,X4,X5] :
( status(X0,X1,noc)
| ~ model(X4,X0)
| ~ model(X4,X1)
| ~ model(X5,X0)
| ~ model(X5,not(X1)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f65,plain,
model(sK6,sK5),
inference(cnf_transformation,[],[f47]) ).
fof(f66,plain,
~ model(sK3,sK5),
inference(cnf_transformation,[],[f47]) ).
fof(f79,plain,
! [X1] : model(X1,sK20),
inference(cnf_transformation,[],[f52]) ).
fof(f81,plain,
! [X0,X1] :
( model(X0,not(X1))
| model(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f113,plain,
! [X2,X3,X0,X1] :
( ~ status(X0,X1,X2)
| nota(X2,thm)
| ~ model(X3,X0)
| model(X3,X1) ),
inference(resolution,[],[f59,f58]) ).
fof(f163,plain,
! [X2,X3,X0,X1,X4] :
( nota(noc,thm)
| ~ model(X0,X1)
| model(X0,X2)
| ~ model(X3,X1)
| ~ model(X3,X2)
| ~ model(X4,X1)
| ~ model(X4,not(X2)) ),
inference(resolution,[],[f113,f60]) ).
fof(f164,plain,
! [X2,X3,X0,X1,X4] :
( ~ model(X4,not(X2))
| model(X0,X2)
| ~ model(X3,X1)
| ~ model(X3,X2)
| ~ model(X4,X1)
| ~ model(X0,X1) ),
inference(forward_subsumption_resolution,[],[f163,f55]) ).
fof(f165,plain,
! [X2,X3,X0,X1,X4] :
( model(X4,X1)
| ~ model(X2,X3)
| ~ model(X2,X1)
| ~ model(X4,X3)
| ~ model(X0,X3)
| model(X0,X1) ),
inference(resolution,[],[f164,f81]) ).
fof(f188,plain,
! [X2,X0,X1] :
( model(X2,sK5)
| ~ model(X0,sK5)
| ~ model(sK3,X1)
| ~ model(X2,X1)
| ~ model(X0,X1) ),
inference(resolution,[],[f165,f66]) ).
fof(f202,plain,
! [X0,X1] :
( ~ model(X0,sK5)
| ~ model(sK3,X1)
| ~ model(sK3,X1)
| ~ model(X0,X1) ),
inference(resolution,[],[f188,f66]) ).
fof(f203,plain,
! [X0,X1] :
( ~ model(sK3,X1)
| ~ model(X0,sK5)
| ~ model(X0,X1) ),
inference(duplicate_literal_removal,[],[f202]) ).
fof(f212,plain,
! [X0] :
( ~ model(X0,sK5)
| ~ model(X0,sK20) ),
inference(resolution,[],[f203,f79]) ).
fof(f217,plain,
! [X0] : ~ model(X0,sK5),
inference(forward_subsumption_resolution,[],[f212,f79]) ).
fof(f225,plain,
$false,
inference(resolution,[],[f217,f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS217+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n014.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 13:40:02 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 2.47/1.22 % (824067)Detected formulas, will run a generic FOF schedule.
% 2.47/1.22 % (824076)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1047455920:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.47/1.22 % (824076)First to succeed.
% 2.47/1.22 % (824076)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-824067"
% 2.47/1.22 % (824075)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=551531069:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.47/1.22 % (824074)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=357471392:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.47/1.22 % (824072)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=617486582:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.47/1.22 % (824073)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=4154285314:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.47/1.22 % (824077)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1772864597:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.47/1.22 % (824075)Refutation not found, incomplete strategy
% 2.47/1.22 % (824075)------------------------------
% 2.47/1.22 % (824075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/1.22 % (824075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/1.22 % (824075)CaDiCaL version: 2.1.3
% 2.47/1.22 % (824075)Termination reason: Refutation not found, incomplete strategy
% 2.47/1.22 % (824075)Time elapsed: 0.001 s
% 2.47/1.22 % (824075)Peak memory usage: 88 MB
% 2.47/1.22 % (824075)Instructions burned: 1 (million)
% 2.47/1.22 % (824078)dis-21_1_sil=8000:lcm=predicate:random_seed=1970477789: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)
% 2.47/1.22 % (824077)Also succeeded, but the first one will report.
% 2.47/1.22 % (824078)Instruction limit reached!
% 2.47/1.22 % (824078)------------------------------
% 2.47/1.22 % (824078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/1.22 % (824078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/1.22 % (824078)CaDiCaL version: 2.1.3
% 2.47/1.22 % (824078)Termination reason: Instruction limit
% 2.47/1.22 % (824078)Termination phase: Saturation
% 2.47/1.22 % (824078)Time elapsed: 0.075 s
% 2.47/1.22 % (824078)Peak memory usage: 89 MB
% 2.47/1.22 % (824078)Instructions burned: 129 (million)
% 2.47/1.22 % (824076)Refutation found. Thanks to Tanya!
% 2.47/1.22 % SZS status Theorem for theBenchmark
% 2.47/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 2.47/1.22 % (824076)------------------------------
% 2.47/1.22 % (824076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.47/1.22 % (824076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.47/1.22 % (824076)CaDiCaL version: 2.1.3
% 2.47/1.22 % (824076)Termination reason: Refutation
% 2.47/1.22 % (824076)Time elapsed: 0.003 s
% 2.47/1.22 % (824076)Peak memory usage: 88 MB
% 2.47/1.22 % (824076)Instructions burned: 6 (million)
% 2.47/1.22 % (824076)------------------------------
% 2.47/1.22 % (824076)------------------------------
% 2.47/1.22 % (824067)Success in time 0.276 s
% 2.47/1.22 % Vampire exiting
%------------------------------------------------------------------------------