TSTP Solution File: KRS254+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS254+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:20:16 EDT 2024
% Result : Theorem 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 45 ( 14 unt; 0 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 125 ( 48 ~; 32 |; 29 &)
% ( 7 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 113 ( 76 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4925,plain,
$false,
inference(resolution,[],[f4879,f657]) ).
fof(f657,plain,
~ sP87(sK57),
inference(resolution,[],[f356,f298]) ).
fof(f298,plain,
model(sK58,sK57),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
( model(sK58,sK57)
& ~ model(sK55,sK57)
& model(sK55,sK56) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55,sK56,sK57,sK58])],[f59,f203,f202]) ).
fof(f202,plain,
( ? [X0,X1,X2] :
( ? [X3] : model(X3,X2)
& ~ model(X0,X2)
& model(X0,X1) )
=> ( ? [X3] : model(X3,sK57)
& ~ model(sK55,sK57)
& model(sK55,sK56) ) ),
introduced(choice_axiom,[]) ).
fof(f203,plain,
( ? [X3] : model(X3,sK57)
=> model(sK58,sK57) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
? [X0,X1,X2] :
( ? [X3] : model(X3,X2)
& ~ model(X0,X2)
& model(X0,X1) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
? [X2,X0,X1] :
( ? [X3] : model(X3,X1)
& ~ model(X2,X1)
& model(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',non_thm_spt) ).
fof(f356,plain,
! [X0,X5] :
( ~ model(X5,X0)
| ~ sP87(X0) ),
inference(general_splitting,[],[f257,f355_D]) ).
fof(f355,plain,
! [X0,X1] :
( status(X0,X1,unp)
| sP87(X0) ),
inference(cnf_transformation,[],[f355_D]) ).
fof(f355_D,plain,
! [X0] :
( ! [X1] : status(X0,X1,unp)
<=> ~ sP87(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP87])]) ).
fof(f257,plain,
! [X0,X1,X5] :
( status(X0,X1,unp)
| ~ model(X5,X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1] :
( ( ! [X2] : ~ model(X2,X1)
| model(sK28(X0),X0)
| ~ status(X0,X1,unp) )
& ( status(X0,X1,unp)
| ( model(sK29(X1),X1)
& ! [X5] : ~ model(X5,X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28,sK29])],[f147,f149,f148]) ).
fof(f148,plain,
! [X0] :
( ? [X3] : model(X3,X0)
=> model(sK28(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X1] :
( ? [X4] : model(X4,X1)
=> model(sK29(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f147,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,[],[f146]) ).
fof(f146,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,[],[f145]) ).
fof(f145,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,[],[f66]) ).
fof(f66,plain,
! [X0,X1] :
( ( ! [X3] : ~ model(X3,X1)
| ? [X2] : model(X2,X0) )
<=> status(X0,X1,unp) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ( ~ ? [X2] : model(X2,X0)
=> ~ ? [X3] : model(X3,X1) )
<=> status(X0,X1,unp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unp) ).
fof(f4879,plain,
! [X0] : sP87(X0),
inference(resolution,[],[f4875,f355]) ).
fof(f4875,plain,
! [X0] : ~ status(X0,sK45,unp),
inference(resolution,[],[f2010,f1503]) ).
fof(f1503,plain,
! [X0] : status(X0,sK45,thm),
inference(resolution,[],[f273,f287]) ).
fof(f287,plain,
! [X1] : model(X1,sK45),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X1] : model(X1,sK45),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f56,f191]) ).
fof(f191,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK45) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
? [X0] :
! [X1] : model(X1,X0),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
? [X9] :
! [X8] : model(X8,X9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tautology) ).
fof(f273,plain,
! [X0,X1] :
( ~ model(sK38(X0,X1),X1)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( ~ model(sK38(X0,X1),X1)
& model(sK38(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38])],[f173,f174]) ).
fof(f174,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
=> ( ~ model(sK38(X0,X1),X1)
& model(sK38(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f173,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,[],[f172]) ).
fof(f172,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,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
<=> status(X0,X1,thm) ),
inference(ennf_transformation,[],[f5]) ).
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(f2010,plain,
! [X0,X1] :
( ~ status(X0,X1,thm)
| ~ status(X0,X1,unp) ),
inference(resolution,[],[f281,f205]) ).
fof(f205,plain,
~ mighta(unp,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ mighta(unp,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(unp,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(unp,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_unp_thm) ).
fof(f281,plain,
! [X2,X3,X0,X1] :
( mighta(X0,X1)
| ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) ) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
=> mighta(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
<=> mighta(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X6,X7] :
( ? [X0,X1] :
( status(X0,X1,X7)
& status(X0,X1,X6) )
<=> mighta(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KRS254+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 19:52:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (9761)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (9763)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (9766)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (9765)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (9767)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (9764)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38 % (9762)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (9768)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [1,1,1]
% 0.15/0.39 TRYING [1,1,1]
% 0.15/0.39 TRYING [2,1,2]
% 0.15/0.39 TRYING [2,1,2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [2,2,2]
% 0.15/0.39 TRYING [2,2,2]
% 0.15/0.39 TRYING [3]
% 0.15/0.40 TRYING [3,3,2]
% 0.15/0.40 TRYING [3,3,2]
% 0.15/0.40 TRYING [4]
% 0.15/0.41 TRYING [4]
% 0.15/0.41 TRYING [4,4,2]
% 0.15/0.41 TRYING [4,4,2]
% 0.15/0.42 TRYING [5]
% 0.22/0.43 TRYING [4,4,3]
% 0.22/0.44 % (9764)First to succeed.
% 0.22/0.44 TRYING [5]
% 0.22/0.44 % (9764)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9761"
% 0.22/0.44 TRYING [4,4,3]
% 0.22/0.44 % (9764)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Theorem for theBenchmark
% 0.22/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.44 % (9764)------------------------------
% 0.22/0.44 % (9764)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.44 % (9764)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (9764)Memory used [KB]: 1870
% 0.22/0.44 % (9764)Time elapsed: 0.061 s
% 0.22/0.44 % (9764)Instructions burned: 118 (million)
% 0.22/0.44 % (9761)Success in time 0.078 s
%------------------------------------------------------------------------------