TSTP Solution File: KRS263+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS263+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 : Mon May 20 23:22:50 EDT 2024
% Result : Theorem 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 19
% Syntax : Number of formulae : 67 ( 16 unt; 0 def)
% Number of atoms : 181 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 188 ( 74 ~; 56 |; 37 &)
% ( 12 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 134 ( 92 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4947,plain,
$false,
inference(avatar_sat_refutation,[],[f2549,f2563,f4903,f4933,f4941]) ).
fof(f4941,plain,
( spl97_28
| ~ spl97_69 ),
inference(avatar_contradiction_clause,[],[f4940]) ).
fof(f4940,plain,
( $false
| spl97_28
| ~ spl97_69 ),
inference(resolution,[],[f4898,f2548]) ).
fof(f2548,plain,
( ~ sP79(sK57)
| spl97_28 ),
inference(avatar_component_clause,[],[f2546]) ).
fof(f2546,plain,
( spl97_28
<=> sP79(sK57) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_28])]) ).
fof(f4898,plain,
( ! [X0] : sP79(X0)
| ~ spl97_69 ),
inference(avatar_component_clause,[],[f4897]) ).
fof(f4897,plain,
( spl97_69
<=> ! [X0] : sP79(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_69])]) ).
fof(f4933,plain,
spl97_70,
inference(avatar_contradiction_clause,[],[f4904]) ).
fof(f4904,plain,
( $false
| spl97_70 ),
inference(resolution,[],[f4902,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(f4902,plain,
( ~ model(sK22(sK45),sK45)
| spl97_70 ),
inference(avatar_component_clause,[],[f4900]) ).
fof(f4900,plain,
( spl97_70
<=> model(sK22(sK45),sK45) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_70])]) ).
fof(f4903,plain,
( spl97_69
| ~ spl97_70 ),
inference(avatar_split_clause,[],[f4878,f4900,f4897]) ).
fof(f4878,plain,
! [X0] :
( ~ model(sK22(sK45),sK45)
| sP79(X0) ),
inference(resolution,[],[f4875,f339]) ).
fof(f339,plain,
! [X0,X1] :
( status(X0,X1,wtc)
| ~ model(sK22(X1),X1)
| sP79(X0) ),
inference(cnf_transformation,[],[f339_D]) ).
fof(f339_D,plain,
! [X0] :
( ! [X1] :
( status(X0,X1,wtc)
| ~ model(sK22(X1),X1) )
<=> ~ sP79(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP79])]) ).
fof(f4875,plain,
! [X0] : ~ status(X0,sK45,wtc),
inference(resolution,[],[f2010,f1503]) ).
fof(f1503,plain,
! [X0] : status(X0,sK45,thm),
inference(resolution,[],[f273,f287]) ).
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,wtc) ),
inference(resolution,[],[f281,f205]) ).
fof(f205,plain,
~ mighta(wtc,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ mighta(wtc,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(wtc,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(wtc,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_wtc_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) ).
fof(f2563,plain,
spl97_27,
inference(avatar_contradiction_clause,[],[f2550]) ).
fof(f2550,plain,
( $false
| spl97_27 ),
inference(resolution,[],[f2544,f589]) ).
fof(f589,plain,
sP80(sK57),
inference(resolution,[],[f341,f297]) ).
fof(f297,plain,
~ model(sK55,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(f341,plain,
! [X0,X6] :
( model(X6,X0)
| sP80(X0) ),
inference(cnf_transformation,[],[f341_D]) ).
fof(f341_D,plain,
! [X0] :
( ! [X6] : model(X6,X0)
<=> ~ sP80(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP80])]) ).
fof(f2544,plain,
( ~ sP80(sK57)
| spl97_27 ),
inference(avatar_component_clause,[],[f2542]) ).
fof(f2542,plain,
( spl97_27
<=> sP80(sK57) ),
introduced(avatar_definition,[new_symbols(naming,[spl97_27])]) ).
fof(f2549,plain,
( ~ spl97_27
| ~ spl97_28 ),
inference(avatar_split_clause,[],[f976,f2546,f2542]) ).
fof(f976,plain,
( ~ sP79(sK57)
| ~ sP80(sK57) ),
inference(resolution,[],[f342,f298]) ).
fof(f298,plain,
model(sK58,sK57),
inference(cnf_transformation,[],[f204]) ).
fof(f342,plain,
! [X0,X7] :
( ~ model(X7,X0)
| ~ sP79(X0)
| ~ sP80(X0) ),
inference(general_splitting,[],[f340,f341_D]) ).
fof(f340,plain,
! [X0,X6,X7] :
( model(X6,X0)
| ~ model(X7,X0)
| ~ sP79(X0) ),
inference(general_splitting,[],[f242,f339_D]) ).
fof(f242,plain,
! [X0,X1,X6,X7] :
( status(X0,X1,wtc)
| ~ model(sK22(X1),X1)
| model(X6,X0)
| ~ model(X7,X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X1)
& ~ model(sK20(X0),X0)
& model(sK21(X0),X0) )
| ~ status(X0,X1,wtc) )
& ( status(X0,X1,wtc)
| ~ model(sK22(X1),X1)
| ! [X6] : model(X6,X0)
| ! [X7] : ~ model(X7,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22])],[f127,f130,f129,f128]) ).
fof(f128,plain,
! [X0] :
( ? [X3] : ~ model(X3,X0)
=> ~ model(sK20(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0] :
( ? [X4] : model(X4,X0)
=> model(sK21(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f130,plain,
! [X1] :
( ? [X5] : ~ model(X5,X1)
=> ~ model(sK22(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X1)
& ? [X3] : ~ model(X3,X0)
& ? [X4] : model(X4,X0) )
| ~ status(X0,X1,wtc) )
& ( status(X0,X1,wtc)
| ? [X5] : ~ model(X5,X1)
| ! [X6] : model(X6,X0)
| ! [X7] : ~ model(X7,X0) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X1)
& ? [X3] : ~ model(X3,X0)
& ? [X4] : model(X4,X0) )
| ~ status(X0,X1,wtc) )
& ( status(X0,X1,wtc)
| ? [X2] : ~ model(X2,X1)
| ! [X3] : model(X3,X0)
| ! [X4] : ~ model(X4,X0) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X1)
& ? [X3] : ~ model(X3,X0)
& ? [X4] : model(X4,X0) )
| ~ status(X0,X1,wtc) )
& ( status(X0,X1,wtc)
| ? [X2] : ~ model(X2,X1)
| ! [X3] : model(X3,X0)
| ! [X4] : ~ model(X4,X0) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ( ! [X2] : model(X2,X1)
& ? [X3] : ~ model(X3,X0)
& ? [X4] : model(X4,X0) )
<=> status(X0,X1,wtc) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( ! [X4] : model(X4,X1)
& ? [X3] : ~ model(X3,X0)
& ? [X2] : model(X2,X0) )
<=> status(X0,X1,wtc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wtc) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS263+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 22:31:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (25675)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (25680)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (25679)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (25677)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39 % (25676)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39 % (25678)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)
% 0.14/0.39 % (25681)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.39 % (25682)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)
% 0.14/0.39 TRYING [1,1,1]
% 0.14/0.39 TRYING [2,1,2]
% 0.14/0.39 TRYING [1,1,1]
% 0.14/0.39 TRYING [2,1,2]
% 0.14/0.39 TRYING [2,2,2]
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2,2,2]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 TRYING [1]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 TRYING [3]
% 0.14/0.40 TRYING [3,3,2]
% 0.14/0.40 TRYING [3,3,2]
% 0.14/0.40 TRYING [3]
% 0.14/0.41 TRYING [4]
% 0.14/0.41 TRYING [4,4,2]
% 0.14/0.41 TRYING [4,4,2]
% 0.14/0.41 TRYING [4]
% 0.20/0.44 TRYING [5]
% 0.20/0.44 TRYING [4,4,3]
% 0.20/0.44 TRYING [4,4,3]
% 0.20/0.45 TRYING [5]
% 0.20/0.45 % (25678)First to succeed.
% 0.20/0.46 % (25678)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-25675"
% 0.20/0.46 % (25678)Refutation found. Thanks to Tanya!
% 0.20/0.46 % SZS status Theorem for theBenchmark
% 0.20/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.46 % (25678)------------------------------
% 0.20/0.46 % (25678)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.46 % (25678)Termination reason: Refutation
% 0.20/0.46
% 0.20/0.46 % (25678)Memory used [KB]: 1881
% 0.20/0.46 % (25678)Time elapsed: 0.071 s
% 0.20/0.46 % (25678)Instructions burned: 121 (million)
% 0.20/0.46 % (25675)Success in time 0.09 s
%------------------------------------------------------------------------------