TSTP Solution File: KRS258+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS258+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n006.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 : Wed Aug 31 17:30:21 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 39 ( 10 unt; 0 def)
% Number of atoms : 146 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 174 ( 67 ~; 60 |; 31 &)
% ( 9 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 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 : 108 ( 86 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f131,plain,
$false,
inference(subsumption_resolution,[],[f130,f83]) ).
fof(f83,plain,
! [X1] : model(X1,sK0),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X1] : model(X1,sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f40,f49]) ).
fof(f49,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK0) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
? [X0] :
! [X1] : model(X1,X0),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
? [X9] :
! [X8] : model(X8,X9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tautology) ).
fof(f130,plain,
! [X1] : ~ model(X1,sK0),
inference(resolution,[],[f128,f83]) ).
fof(f128,plain,
! [X2,X3] :
( ~ model(sK1(sK0,X2),X2)
| ~ model(X3,X2) ),
inference(subsumption_resolution,[],[f127,f83]) ).
fof(f127,plain,
! [X2,X3] :
( ~ model(X3,X2)
| ~ model(sK1(sK0,X2),X2)
| ~ model(sK1(sK0,X2),sK0) ),
inference(resolution,[],[f113,f83]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ model(sK20(X0,X1),X1)
| ~ model(sK1(X1,X0),X0)
| ~ model(X2,X0)
| ~ model(sK1(X1,X0),X1) ),
inference(resolution,[],[f110,f88]) ).
fof(f88,plain,
! [X3,X0,X1] :
( status(X1,X0,eqv)
| ~ model(X3,X1)
| ~ model(sK1(X0,X1),X0)
| ~ model(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ( status(X1,X0,eqv)
| ( ( ~ model(sK1(X0,X1),X0)
| ~ model(sK1(X0,X1),X1) )
& ( model(sK1(X0,X1),X0)
| model(sK1(X0,X1),X1) ) )
| ! [X3] : ~ model(X3,X1) )
& ( ( ! [X4] :
( ( model(X4,X1)
| ~ model(X4,X0) )
& ( model(X4,X0)
| ~ model(X4,X1) ) )
& model(sK2(X1),X1) )
| ~ status(X1,X0,eqv) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f53,f55,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ model(X2,X0)
| ~ model(X2,X1) )
& ( model(X2,X0)
| model(X2,X1) ) )
=> ( ( ~ model(sK1(X0,X1),X0)
| ~ model(sK1(X0,X1),X1) )
& ( model(sK1(X0,X1),X0)
| model(sK1(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X1] :
( ? [X5] : model(X5,X1)
=> model(sK2(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0,X1] :
( ( status(X1,X0,eqv)
| ? [X2] :
( ( ~ model(X2,X0)
| ~ model(X2,X1) )
& ( model(X2,X0)
| model(X2,X1) ) )
| ! [X3] : ~ model(X3,X1) )
& ( ( ! [X4] :
( ( model(X4,X1)
| ~ model(X4,X0) )
& ( model(X4,X0)
| ~ model(X4,X1) ) )
& ? [X5] : model(X5,X1) )
| ~ status(X1,X0,eqv) ) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ( status(X1,X0,eqv)
| ? [X3] :
( ( ~ model(X3,X0)
| ~ model(X3,X1) )
& ( model(X3,X0)
| model(X3,X1) ) )
| ! [X2] : ~ model(X2,X1) )
& ( ( ! [X3] :
( ( model(X3,X1)
| ~ model(X3,X0) )
& ( model(X3,X0)
| ~ model(X3,X1) ) )
& ? [X2] : model(X2,X1) )
| ~ status(X1,X0,eqv) ) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ( status(X1,X0,eqv)
| ? [X3] :
( ( ~ model(X3,X0)
| ~ model(X3,X1) )
& ( model(X3,X0)
| model(X3,X1) ) )
| ! [X2] : ~ model(X2,X1) )
& ( ( ! [X3] :
( ( model(X3,X1)
| ~ model(X3,X0) )
& ( model(X3,X0)
| ~ model(X3,X1) ) )
& ? [X2] : model(X2,X1) )
| ~ status(X1,X0,eqv) ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( status(X1,X0,eqv)
<=> ( ! [X3] :
( model(X3,X1)
<=> model(X3,X0) )
& ? [X2] : model(X2,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( status(X0,X1,eqv)
<=> ( ? [X2] : model(X2,X0)
& ! [X3] :
( model(X3,X0)
<=> model(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eqv) ).
fof(f110,plain,
! [X2,X3] :
( ~ status(X2,X3,eqv)
| ~ model(sK20(X2,X3),X3) ),
inference(resolution,[],[f108,f106]) ).
fof(f106,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ model(sK20(X0,X1),X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ( status(X0,X1,thm)
| ( ~ model(sK20(X0,X1),X1)
& model(sK20(X0,X1),X0) ) )
& ( ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
| ~ status(X0,X1,thm) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f80,f81]) ).
fof(f81,plain,
! [X0,X1] :
( ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) )
=> ( ~ model(sK20(X0,X1),X1)
& model(sK20(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X0,X1] :
( ( status(X0,X1,thm)
| ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) ) )
& ( ! [X3] :
( model(X3,X1)
| ~ model(X3,X0) )
| ~ status(X0,X1,thm) ) ),
inference(rectify,[],[f79]) ).
fof(f79,plain,
! [X1,X0] :
( ( status(X1,X0,thm)
| ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) ) )
& ( ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) )
| ~ status(X1,X0,thm) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( status(X1,X0,thm)
<=> ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( ! [X2] :
( model(X2,X1)
=> model(X2,X0) )
<=> status(X1,X0,thm) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
fof(f108,plain,
! [X0,X1] :
( ~ status(X0,X1,thm)
| ~ status(X0,X1,eqv) ),
inference(resolution,[],[f107,f89]) ).
fof(f89,plain,
! [X2,X3,X0,X1] :
( mighta(X1,X0)
| ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( mighta(X1,X0)
| ! [X2,X3] :
( ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) ) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ? [X2,X3] :
( status(X2,X3,X0)
& status(X2,X3,X1) )
=> mighta(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( mighta(X0,X1)
<=> ? [X2,X3] :
( status(X2,X3,X0)
& status(X2,X3,X1) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X6,X7] :
( ? [X0,X1] :
( status(X0,X1,X6)
& status(X0,X1,X7) )
<=> mighta(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta) ).
fof(f107,plain,
~ mighta(eqv,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ mighta(eqv,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(eqv,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(eqv,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_eqv_thm) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS258+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 00:39:40 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50 % (12521)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.50 % (12537)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (12519)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (12529)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (12521)First to succeed.
% 0.20/0.51 % (12521)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (12521)------------------------------
% 0.20/0.51 % (12521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (12521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (12521)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (12521)Memory used [KB]: 1535
% 0.20/0.51 % (12521)Time elapsed: 0.105 s
% 0.20/0.51 % (12521)Instructions burned: 3 (million)
% 0.20/0.51 % (12521)------------------------------
% 0.20/0.51 % (12521)------------------------------
% 0.20/0.51 % (12512)Success in time 0.156 s
%------------------------------------------------------------------------------