%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS258+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 : n026.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 3.16s 1.22s
% Output : Refutation 3.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 11 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 131 ( 49 ~; 50 |; 25 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 73 ( 59 !; 14 ?)
% 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(f6,axiom,
! [X0,X1] :
( ( ? [X2] : model(X2,X0)
& ! [X3] :
( model(X3,X0)
<=> model(X3,X1) ) )
<=> status(X0,X1,eqv) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eqv) ).
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(f33,conjecture,
mighta(eqv,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_eqv_thm) ).
fof(f34,negated_conjecture,
~ mighta(eqv,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f35,plain,
~ mighta(eqv,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(f37,plain,
! [X0,X1] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) ) ),
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(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,[],[f38]) ).
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)
& ! [X3] :
( ( model(X3,X0)
| ~ model(X3,X1) )
& ( model(X3,X1)
| ~ model(X3,X0) ) ) )
| ~ status(X0,X1,eqv) )
& ( status(X0,X1,eqv)
| ! [X2] : ~ model(X2,X0)
| ? [X3] :
( ( ~ model(X3,X1)
| ~ model(X3,X0) )
& ( model(X3,X1)
| model(X3,X0) ) ) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f44,plain,
! [X0,X1] :
( ( ( ? [X2] : model(X2,X0)
& ! [X3] :
( ( model(X3,X0)
| ~ model(X3,X1) )
& ( model(X3,X1)
| ~ model(X3,X0) ) ) )
| ~ status(X0,X1,eqv) )
& ( status(X0,X1,eqv)
| ! [X2] : ~ model(X2,X0)
| ? [X3] :
( ( ~ model(X3,X1)
| ~ model(X3,X0) )
& ( model(X3,X1)
| model(X3,X0) ) ) ) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( ( ( ? [X2] : model(X2,X0)
& ! [X3] :
( ( model(X3,X0)
| ~ model(X3,X1) )
& ( model(X3,X1)
| ~ model(X3,X0) ) ) )
| ~ status(X0,X1,eqv) )
& ( status(X0,X1,eqv)
| ! [X4] : ~ model(X4,X0)
| ? [X5] :
( ( ~ model(X5,X1)
| ~ model(X5,X0) )
& ( model(X5,X1)
| model(X5,X0) ) ) ) ),
inference(rectify,[],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( ( ( model(sK1(X0),X0)
& ! [X3] :
( ( model(X3,X0)
| ~ model(X3,X1) )
& ( model(X3,X1)
| ~ model(X3,X0) ) ) )
| ~ status(X0,X1,eqv) )
& ( status(X0,X1,eqv)
| ! [X4] : ~ model(X4,X0)
| ( ( ~ model(sK2(X0,X1),X1)
| ~ model(sK2(X0,X1),X0) )
& ( model(sK2(X0,X1),X1)
| model(sK2(X0,X1),X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X2,sK1(X0)),skolemize(X5,sK2(X0,X1))],[f45]) ).
fof(f52,plain,
! [X1] : model(X1,sK20),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(X0,sK20)],[f27]) ).
fof(f53,plain,
~ mighta(eqv,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0)
| mighta(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f56,plain,
! [X0,X1] :
( ~ model(sK0(X0,X1),X1)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f42]) ).
fof(f59,plain,
! [X0,X1,X4] :
( ~ model(sK2(X0,X1),X1)
| ~ model(X4,X0)
| status(X0,X1,eqv)
| ~ model(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f77,plain,
! [X1] : model(X1,sK20),
inference(cnf_transformation,[],[f52]) ).
fof(f82,plain,
! [X0] : status(X0,sK20,thm),
inference(resolution,[],[f56,f77]) ).
fof(f92,plain,
! [X0,X1] :
( ~ status(X0,sK20,X1)
| mighta(X1,thm) ),
inference(resolution,[],[f54,f82]) ).
fof(f104,plain,
! [X0] :
( ~ model(sK2(X0,X0),X0)
| status(X0,X0,eqv)
| ~ model(sK2(X0,X0),X0) ),
inference(factoring,[],[f59]) ).
fof(f106,plain,
! [X0] :
( ~ model(sK2(X0,X0),X0)
| status(X0,X0,eqv) ),
inference(duplicate_literal_removal,[],[f104]) ).
fof(f109,plain,
status(sK20,sK20,eqv),
inference(resolution,[],[f106,f77]) ).
fof(f134,plain,
mighta(eqv,thm),
inference(resolution,[],[f92,f109]) ).
fof(f135,plain,
$false,
inference(forward_subsumption_resolution,[],[f134,f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS258+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n026.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 13:50:27 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 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
% 3.16/1.22 % (2860863)Detected formulas, will run a generic FOF schedule.
% 3.16/1.22 % (2860871)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=98924332:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.16/1.22 % (2860874)dis-21_1_sil=8000:lcm=predicate:random_seed=810254440: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)
% 3.16/1.22 % (2860873)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2712269081:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.16/1.22 % (2860872)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4095288584:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.16/1.22 % (2860870)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=2380809256:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.16/1.22 % (2860869)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=52097827:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.16/1.22 % (2860868)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=2921660390:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.16/1.22 % (2860871)Refutation not found, incomplete strategy
% 3.16/1.22 % (2860871)------------------------------
% 3.16/1.22 % (2860871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.22 % (2860871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.22 % (2860871)CaDiCaL version: 2.1.3
% 3.16/1.22 % (2860871)Termination reason: Refutation not found, incomplete strategy
% 3.16/1.22 % (2860871)Time elapsed: 0.001 s
% 3.16/1.22 % (2860871)Peak memory usage: 88 MB
% 3.16/1.22 % (2860871)Instructions burned: 1 (million)
% 3.16/1.22 % (2860872)First to succeed.
% 3.16/1.22 % (2860872)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2860863"
% 3.16/1.22 % (2860873)Also succeeded, but the first one will report.
% 3.16/1.22 % (2860874)Also succeeded, but the first one will report.
% 3.16/1.22 % (2860871)------------------------------
% 3.16/1.22 % (2860871)------------------------------
% 3.16/1.22 % (2860872)Refutation found. Thanks to Tanya!
% 3.16/1.22 % SZS status Theorem for theBenchmark
% 3.16/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 3.16/1.23 % (2860872)------------------------------
% 3.16/1.23 % (2860872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.16/1.23 % (2860872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.16/1.23 % (2860872)CaDiCaL version: 2.1.3
% 3.16/1.23 % (2860872)Termination reason: Refutation
% 3.16/1.23 % (2860872)Time elapsed: 0.003 s
% 3.16/1.23 % (2860872)Peak memory usage: 88 MB
% 3.16/1.23 % (2860872)Instructions burned: 3 (million)
% 3.16/1.23 % (2860872)------------------------------
% 3.16/1.23 % (2860872)------------------------------
% 3.16/1.23 % (2860863)Success in time 0.395 s
% 3.16/1.23 % Vampire exiting
%------------------------------------------------------------------------------