TSTP Solution File: KRS262+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : KRS262+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 : n015.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 1.49s 0.57s
% Output : Refutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 10 unt; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 112 ( 47 ~; 35 |; 18 &)
% ( 6 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 85 ( 70 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f110,plain,
$false,
inference(resolution,[],[f109,f97]) ).
fof(f97,plain,
! [X1] : model(X1,sK12),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X1] : model(X1,sK12),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f43,f69]) ).
fof(f69,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK12) ),
introduced(choice_axiom,[]) ).
fof(f43,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(f109,plain,
! [X0] : ~ model(sK6(X0,sK12),X0),
inference(resolution,[],[f107,f97]) ).
fof(f107,plain,
! [X2,X3] :
( ~ model(sK11(X2,X3),X2)
| ~ model(sK6(X3,X2),X3) ),
inference(resolution,[],[f105,f88]) ).
fof(f88,plain,
! [X0,X1] :
( status(X1,X0,thm)
| ~ model(sK6(X0,X1),X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ( status(X1,X0,thm)
| ( ~ model(sK6(X0,X1),X0)
& model(sK6(X0,X1),X1) ) )
& ( ! [X3] :
( model(X3,X0)
| ~ model(X3,X1) )
| ~ status(X1,X0,thm) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f57,f58]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) )
=> ( ~ model(sK6(X0,X1),X0)
& model(sK6(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0,X1] :
( ( status(X1,X0,thm)
| ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) ) )
& ( ! [X3] :
( model(X3,X0)
| ~ model(X3,X1) )
| ~ status(X1,X0,thm) ) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ( 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,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( status(X1,X0,thm)
<=> ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( status(X1,X0,thm)
<=> ! [X2] :
( model(X2,X1)
=> model(X2,X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
fof(f105,plain,
! [X0,X1] :
( ~ status(X0,X1,thm)
| ~ model(sK11(X0,X1),X0) ),
inference(subsumption_resolution,[],[f104,f86]) ).
fof(f86,plain,
! [X3,X0,X1] :
( ~ status(X1,X0,thm)
| model(X3,X0)
| ~ model(X3,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f104,plain,
! [X0,X1] :
( ~ model(sK11(X0,X1),X1)
| ~ model(sK11(X0,X1),X0)
| ~ status(X0,X1,thm) ),
inference(resolution,[],[f103,f94]) ).
fof(f94,plain,
! [X0,X1] :
( status(X0,X1,tau)
| ~ model(sK11(X0,X1),X1)
| ~ model(sK11(X0,X1),X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
& model(X2,X0) )
| ~ status(X0,X1,tau) )
& ( status(X0,X1,tau)
| ~ model(sK11(X0,X1),X1)
| ~ model(sK11(X0,X1),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f66,f67]) ).
fof(f67,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X1)
| ~ model(X3,X0) )
=> ( ~ model(sK11(X0,X1),X1)
| ~ model(sK11(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
& model(X2,X0) )
| ~ status(X0,X1,tau) )
& ( status(X0,X1,tau)
| ? [X3] :
( ~ model(X3,X1)
| ~ model(X3,X0) ) ) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
& model(X2,X0) )
| ~ status(X0,X1,tau) )
& ( status(X0,X1,tau)
| ? [X2] :
( ~ model(X2,X1)
| ~ model(X2,X0) ) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( ! [X2] :
( model(X2,X1)
& model(X2,X0) )
<=> status(X0,X1,tau) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tau) ).
fof(f103,plain,
! [X0,X1] :
( ~ status(X0,X1,tau)
| ~ status(X0,X1,thm) ),
inference(resolution,[],[f89,f90]) ).
fof(f90,plain,
! [X2,X3,X0,X1] :
( mighta(X1,X0)
| ~ status(X3,X2,X0)
| ~ status(X3,X2,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ! [X2,X3] :
( ~ status(X3,X2,X1)
| ~ status(X3,X2,X0) )
| mighta(X1,X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( ? [X3,X2] :
( status(X3,X2,X1)
& status(X3,X2,X0) )
=> mighta(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,plain,
! [X1,X0] :
( ? [X3,X2] :
( status(X3,X2,X1)
& status(X3,X2,X0) )
<=> mighta(X1,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X7,X6] :
( ? [X1,X0] :
( status(X0,X1,X6)
& status(X0,X1,X7) )
<=> mighta(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta) ).
fof(f89,plain,
~ mighta(tau,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ mighta(tau,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(tau,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(tau,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_tau_thm) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS262+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
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 00:52:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.56 % (13148)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)
% 0.20/0.56 % (13143)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.56 % (13143)Refutation not found, incomplete strategy% (13143)------------------------------
% 0.20/0.56 % (13143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (13143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (13143)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (13143)Memory used [KB]: 6012
% 0.20/0.56 % (13143)Time elapsed: 0.135 s
% 0.20/0.56 % (13143)Instructions burned: 2 (million)
% 0.20/0.56 % (13143)------------------------------
% 0.20/0.56 % (13143)------------------------------
% 0.20/0.57 % (13137)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)
% 0.20/0.57 % (13137)Refutation not found, incomplete strategy% (13137)------------------------------
% 0.20/0.57 % (13137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (13137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (13137)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.57
% 0.20/0.57 % (13137)Memory used [KB]: 5884
% 0.20/0.57 % (13137)Time elapsed: 0.133 s
% 0.20/0.57 % (13137)Instructions burned: 2 (million)
% 0.20/0.57 % (13137)------------------------------
% 0.20/0.57 % (13137)------------------------------
% 0.20/0.57 % (13140)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)
% 0.20/0.57 % (13139)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)
% 1.49/0.57 % (13139)First to succeed.
% 1.49/0.57 % (13140)Also succeeded, but the first one will report.
% 1.49/0.57 % (13139)Refutation found. Thanks to Tanya!
% 1.49/0.57 % SZS status Theorem for theBenchmark
% 1.49/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.49/0.57 % (13139)------------------------------
% 1.49/0.57 % (13139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.57 % (13139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.57 % (13139)Termination reason: Refutation
% 1.49/0.57
% 1.49/0.57 % (13139)Memory used [KB]: 1535
% 1.49/0.57 % (13139)Time elapsed: 0.144 s
% 1.49/0.57 % (13139)Instructions burned: 2 (million)
% 1.49/0.57 % (13139)------------------------------
% 1.49/0.57 % (13139)------------------------------
% 1.49/0.57 % (13133)Success in time 0.216 s
%------------------------------------------------------------------------------