TSTP Solution File: KRS196+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS196+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 : n001.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 17:30:00 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 36 ( 6 unt; 0 def)
% Number of atoms : 120 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 132 ( 48 ~; 36 |; 31 &)
% ( 7 <=>; 10 =>; 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 : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 109 ( 80 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f140,plain,
$false,
inference(subsumption_resolution,[],[f139,f101]) ).
fof(f101,plain,
~ isa(wca,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ isa(wca,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ isa(wca,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
isa(wca,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa_wca_thm) ).
fof(f139,plain,
isa(wca,thm),
inference(duplicate_literal_removal,[],[f137]) ).
fof(f137,plain,
( isa(wca,thm)
| isa(wca,thm) ),
inference(resolution,[],[f136,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ~ status(sK5(X0,X1),sK6(X0,X1),X0)
| isa(X1,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( isa(X1,X0)
| ( status(sK5(X0,X1),sK6(X0,X1),X1)
& ~ status(sK5(X0,X1),sK6(X0,X1),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f56,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& ~ status(X2,X3,X0) )
=> ( status(sK5(X0,X1),sK6(X0,X1),X1)
& ~ status(sK5(X0,X1),sK6(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0,X1] :
( isa(X1,X0)
| ? [X2,X3] :
( status(X2,X3,X1)
& ~ status(X2,X3,X0) ) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( isa(X0,X1)
| ? [X3,X2] :
( status(X3,X2,X0)
& ~ status(X3,X2,X1) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X1,X0] :
( ! [X3,X2] :
( status(X3,X2,X0)
=> status(X3,X2,X1) )
=> isa(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( ! [X3,X2] :
( status(X3,X2,X0)
=> status(X3,X2,X1) )
<=> isa(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X6,X7] :
( isa(X6,X7)
<=> ! [X1,X0] :
( status(X0,X1,X6)
=> status(X0,X1,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isa) ).
fof(f136,plain,
! [X0,X1] :
( status(sK5(X0,wca),X1,thm)
| isa(wca,X0) ),
inference(resolution,[],[f133,f88]) ).
fof(f88,plain,
! [X0,X1] :
( model(sK4(X0,X1),X1)
| status(X1,X0,thm) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ model(X2,X1)
| model(X2,X0) )
| ~ status(X1,X0,thm) )
& ( status(X1,X0,thm)
| ( model(sK4(X0,X1),X1)
& ~ model(sK4(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f53,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ? [X3] :
( model(X3,X1)
& ~ model(X3,X0) )
=> ( model(sK4(X0,X1),X1)
& ~ model(sK4(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ model(X2,X1)
| model(X2,X0) )
| ~ status(X1,X0,thm) )
& ( status(X1,X0,thm)
| ? [X3] :
( model(X3,X1)
& ~ model(X3,X0) ) ) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X1,X0] :
( ( ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X2] :
( model(X2,X0)
& ~ model(X2,X1) ) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
<=> status(X0,X1,thm) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( status(X0,X1,thm)
<=> ! [X2] :
( model(X2,X0)
=> model(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
fof(f133,plain,
! [X3,X4] :
( ~ model(X4,sK5(X3,wca))
| isa(wca,X3) ),
inference(resolution,[],[f91,f98]) ).
fof(f98,plain,
! [X0,X1,X6] :
( ~ status(X1,X0,wca)
| ~ model(X6,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ( status(X1,X0,wca)
| ! [X2] : ~ model(X2,X0)
| model(sK14(X1),X1)
| ! [X4] : model(X4,X0) )
& ( ( model(sK15(X0),X0)
& ! [X6] : ~ model(X6,X1)
& ~ model(sK16(X0),X0) )
| ~ status(X1,X0,wca) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16])],[f69,f72,f71,f70]) ).
fof(f70,plain,
! [X1] :
( ? [X3] : model(X3,X1)
=> model(sK14(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
! [X0] :
( ? [X5] : model(X5,X0)
=> model(sK15(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ? [X7] : ~ model(X7,X0)
=> ~ model(sK16(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0,X1] :
( ( status(X1,X0,wca)
| ! [X2] : ~ model(X2,X0)
| ? [X3] : model(X3,X1)
| ! [X4] : model(X4,X0) )
& ( ( ? [X5] : model(X5,X0)
& ! [X6] : ~ model(X6,X1)
& ? [X7] : ~ model(X7,X0) )
| ~ status(X1,X0,wca) ) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X1,X0] :
( ( status(X0,X1,wca)
| ! [X3] : ~ model(X3,X1)
| ? [X4] : model(X4,X0)
| ! [X2] : model(X2,X1) )
& ( ( ? [X3] : model(X3,X1)
& ! [X4] : ~ model(X4,X0)
& ? [X2] : ~ model(X2,X1) )
| ~ status(X0,X1,wca) ) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
( ( status(X0,X1,wca)
| ! [X3] : ~ model(X3,X1)
| ? [X4] : model(X4,X0)
| ! [X2] : model(X2,X1) )
& ( ( ? [X3] : model(X3,X1)
& ! [X4] : ~ model(X4,X0)
& ? [X2] : ~ model(X2,X1) )
| ~ status(X0,X1,wca) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( status(X0,X1,wca)
<=> ( ? [X3] : model(X3,X1)
& ! [X4] : ~ model(X4,X0)
& ? [X2] : ~ model(X2,X1) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( ? [X2] : ~ model(X2,X1)
& ? [X3] : model(X3,X1)
& ~ ? [X4] : model(X4,X0) )
<=> status(X0,X1,wca) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( ? [X4] : ~ model(X4,X1)
& ? [X3] : model(X3,X1)
& ~ ? [X2] : model(X2,X0) )
<=> status(X0,X1,wca) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wca) ).
fof(f91,plain,
! [X0,X1] :
( status(sK5(X0,X1),sK6(X0,X1),X1)
| isa(X1,X0) ),
inference(cnf_transformation,[],[f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS196+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:57:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (7322)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (7314)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (7330)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.51 % (7322)Instruction limit reached!
% 0.19/0.51 % (7322)------------------------------
% 0.19/0.51 % (7322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (7314)First to succeed.
% 0.19/0.51 % (7322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (7322)Termination reason: Unknown
% 0.19/0.51 % (7322)Termination phase: Preprocessing 3
% 0.19/0.51
% 0.19/0.51 % (7322)Memory used [KB]: 1535
% 0.19/0.51 % (7322)Time elapsed: 0.005 s
% 0.19/0.51 % (7322)Instructions burned: 3 (million)
% 0.19/0.51 % (7322)------------------------------
% 0.19/0.51 % (7322)------------------------------
% 0.19/0.52 % (7314)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (7314)------------------------------
% 0.19/0.52 % (7314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (7314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (7314)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (7314)Memory used [KB]: 6012
% 0.19/0.52 % (7314)Time elapsed: 0.101 s
% 0.19/0.52 % (7314)Instructions burned: 3 (million)
% 0.19/0.52 % (7314)------------------------------
% 0.19/0.52 % (7314)------------------------------
% 0.19/0.52 % (7304)Success in time 0.166 s
%------------------------------------------------------------------------------