%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS256+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 : n018.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 11:41:58 AM UTC 2026
% Result : Theorem 2.66s 1.36s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 11 unt; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 128 ( 51 ~; 40 |; 29 &)
% ( 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 : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 96 ( 69 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
<=> ? [X3] : model(X3,X1) )
<=> status(X0,X1,esa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',esa) ).
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(f20,axiom,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X0)
& status(X2,X3,X1) )
<=> mighta(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta) ).
fof(f27,axiom,
? [X0] :
! [X1] : model(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tautology) ).
fof(f31,axiom,
? [X0,X1] :
( ? [X2] : model(X2,X0)
& ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
& ? [X5] : ~ model(X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mixed_pair) ).
fof(f33,conjecture,
mighta(esa,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_esa_thm) ).
fof(f34,negated_conjecture,
~ mighta(esa,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ mighta(esa,thm),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X0)
& status(X2,X3,X1) )
=> mighta(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f20]) ).
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] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f47,plain,
? [X0,X1] :
( ? [X2] : model(X2,X0)
& ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
& ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
& ? [X5] : ~ model(X5,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f56,plain,
! [X0,X1] :
( ( ( ( ? [X2] : model(X2,X0)
| ! [X3] : ~ model(X3,X1) )
& ( ? [X3] : model(X3,X1)
| ! [X2] : ~ model(X2,X0) ) )
| ~ status(X0,X1,esa) )
& ( status(X0,X1,esa)
| ( ( ! [X3] : ~ model(X3,X1)
| ! [X2] : ~ model(X2,X0) )
& ( ? [X3] : model(X3,X1)
| ? [X2] : model(X2,X0) ) ) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f57,plain,
! [X0,X1] :
( ( ( ( ? [X2] : model(X2,X0)
| ! [X3] : ~ model(X3,X1) )
& ( ? [X4] : model(X4,X1)
| ! [X5] : ~ model(X5,X0) ) )
| ~ status(X0,X1,esa) )
& ( status(X0,X1,esa)
| ( ( ! [X6] : ~ model(X6,X1)
| ! [X7] : ~ model(X7,X0) )
& ( ? [X8] : model(X8,X1)
| ? [X9] : model(X9,X0) ) ) ) ),
inference(rectify,[],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( ( ( ( model(sK4(X0),X0)
| ! [X3] : ~ model(X3,X1) )
& ( model(sK5(X1),X1)
| ! [X5] : ~ model(X5,X0) ) )
| ~ status(X0,X1,esa) )
& ( status(X0,X1,esa)
| ( ( ! [X6] : ~ model(X6,X1)
| ! [X7] : ~ model(X7,X0) )
& ( model(sK6(X1),X1)
| model(sK7(X0),X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X2,sK4(X0)),skolemize(X4,sK5(X1)),skolemize(X8,sK6(X1)),skolemize(X9,sK7(X0))],[f57]) ).
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(f120,plain,
! [X1] : model(X1,sK41),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41]),skolemize(X0,sK41)],[f27]) ).
fof(f124,plain,
( model(sK52,sK50)
& ! [X3] :
( model(X3,sK51)
| ~ model(X3,sK50) )
& ~ model(sK53,sK50)
& model(sK53,sK51)
& ~ model(sK54,sK51) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50,sK51,sK52,sK53,sK54]),skolemize(X0,sK50),skolemize(X1,sK51),skolemize(X2,sK52),skolemize(X4,sK53),skolemize(X5,sK54)],[f47]) ).
fof(f133,plain,
! [X0,X1,X6,X7] :
( status(X0,X1,esa)
| ~ model(X6,X1)
| ~ model(X7,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f140,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ model(sK9(X0,X1),X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f199,plain,
! [X2,X3,X0,X1] :
( mighta(X0,X1)
| ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f204,plain,
! [X1] : model(X1,sK41),
inference(cnf_transformation,[],[f120]) ).
fof(f212,plain,
model(sK53,sK51),
inference(cnf_transformation,[],[f124]) ).
fof(f219,plain,
~ mighta(esa,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f233,plain,
! [X0,X1] :
( ~ status(X0,X1,thm)
| ~ status(X0,X1,esa) ),
inference(resolution,[],[f199,f219]) ).
fof(f234,plain,
! [X0,X1] :
( ~ model(sK9(X0,X1),X1)
| ~ status(X0,X1,esa) ),
inference(resolution,[],[f233,f140]) ).
fof(f236,plain,
! [X0] : ~ status(X0,sK41,esa),
inference(resolution,[],[f234,f204]) ).
fof(f239,plain,
! [X2,X0,X1] :
( ~ model(X0,sK41)
| ~ model(X1,X2) ),
inference(resolution,[],[f236,f133]) ).
fof(f240,plain,
! [X2,X1] : ~ model(X1,X2),
inference(forward_subsumption_resolution,[],[f239,f204]) ).
fof(f248,plain,
$false,
inference(resolution,[],[f240,f212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS256+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n018.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 13:49:23 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 2.66/1.36 % (2363368)Detected formulas, will run a generic FOF schedule.
% 2.66/1.36 % (2363378)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=909537586:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.66/1.36 % (2363378)First to succeed.
% 2.66/1.36 % (2363378)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2363368"
% 2.66/1.36 % (2363373)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=582134222:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.66/1.36 % (2363375)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=2467595954:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.66/1.36 % (2363376)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3125434539:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.66/1.36 % (2363374)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=2699683230:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.66/1.36 % (2363376)Refutation not found, incomplete strategy
% 2.66/1.36 % (2363376)------------------------------
% 2.66/1.36 % (2363376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.36 % (2363376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.36 % (2363376)CaDiCaL version: 2.1.3
% 2.66/1.36 % (2363376)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.36 % (2363376)Time elapsed: 0.002 s
% 2.66/1.36 % (2363376)Peak memory usage: 87 MB
% 2.66/1.36 % (2363376)Instructions burned: 1 (million)
% 2.66/1.36 % (2363379)dis-21_1_sil=8000:lcm=predicate:random_seed=3739079246: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)
% 2.66/1.36 % (2363377)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3096905841:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.66/1.36 % (2363377)Also succeeded, but the first one will report.
% 2.66/1.36 % (2363379)Also succeeded, but the first one will report.
% 2.66/1.36 % (2363378)Refutation found. Thanks to Tanya!
% 2.66/1.36 % SZS status Theorem for theBenchmark
% 2.66/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 2.66/1.36 % (2363378)------------------------------
% 2.66/1.36 % (2363378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.36 % (2363378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.36 % (2363378)CaDiCaL version: 2.1.3
% 2.66/1.36 % (2363378)Termination reason: Refutation
% 2.66/1.36 % (2363378)Time elapsed: 0.003 s
% 2.66/1.36 % (2363378)Peak memory usage: 88 MB
% 2.66/1.36 % (2363378)Instructions burned: 4 (million)
% 2.66/1.36 % (2363378)------------------------------
% 2.66/1.36 % (2363378)------------------------------
% 2.66/1.36 % (2363368)Success in time 0.291 s
% 2.66/1.36 % Vampire exiting
%------------------------------------------------------------------------------