TSTP Solution File: KRS267+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS267+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 : Tue Apr 30 20:25:07 EDT 2024
% Result : Theorem 0.11s 0.37s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 12 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 112 ( 47 ~; 38 |; 21 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 102 ( 87 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,Ax)
=> model(I1,C) )
<=> status(Ax,C,thm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [Ax,C] :
( ( ~ ? [I1] : model(I1,Ax)
& ! [I2] : model(I2,C) )
<=> status(Ax,C,tca) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [S1,S2] :
( ? [Ax,C] :
( status(Ax,C,S1)
& status(Ax,C,S2) )
<=> mighta(S1,S2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
? [F] :
! [I] : model(I,F),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
? [F] :
! [I] : ~ model(I,F),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,conjecture,
mighta(tca,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ mighta(tca,thm),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f62,plain,
! [Ax,C] :
( ! [I1] :
( ~ model(I1,Ax)
| model(I1,C) )
<=> status(Ax,C,thm) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f63,plain,
! [Ax,C] :
( ( ? [I1] :
( model(I1,Ax)
& ~ model(I1,C) )
| status(Ax,C,thm) )
& ( ! [I1] :
( ~ model(I1,Ax)
| model(I1,C) )
| ~ status(Ax,C,thm) ) ),
inference(NNF_transformation,[status(esa)],[f62]) ).
fof(f64,plain,
( ! [Ax,C] :
( ? [I1] :
( model(I1,Ax)
& ~ model(I1,C) )
| status(Ax,C,thm) )
& ! [Ax,C] :
( ! [I1] :
( ~ model(I1,Ax)
| model(I1,C) )
| ~ status(Ax,C,thm) ) ),
inference(miniscoping,[status(esa)],[f63]) ).
fof(f65,plain,
( ! [Ax,C] :
( ( model(sk0_9(C,Ax),Ax)
& ~ model(sk0_9(C,Ax),C) )
| status(Ax,C,thm) )
& ! [Ax,C] :
( ! [I1] :
( ~ model(I1,Ax)
| model(I1,C) )
| ~ status(Ax,C,thm) ) ),
inference(skolemization,[status(esa)],[f64]) ).
fof(f67,plain,
! [X0,X1] :
( ~ model(sk0_9(X0,X1),X0)
| status(X1,X0,thm) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f139,plain,
! [Ax,C] :
( ( ! [I1] : ~ model(I1,Ax)
& ! [I2] : model(I2,C) )
<=> status(Ax,C,tca) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f140,plain,
! [Ax,C] :
( ( ? [I1] : model(I1,Ax)
| ? [I2] : ~ model(I2,C)
| status(Ax,C,tca) )
& ( ( ! [I1] : ~ model(I1,Ax)
& ! [I2] : model(I2,C) )
| ~ status(Ax,C,tca) ) ),
inference(NNF_transformation,[status(esa)],[f139]) ).
fof(f141,plain,
( ! [Ax,C] :
( ? [I1] : model(I1,Ax)
| ? [I2] : ~ model(I2,C)
| status(Ax,C,tca) )
& ! [Ax,C] :
( ( ! [I1] : ~ model(I1,Ax)
& ! [I2] : model(I2,C) )
| ~ status(Ax,C,tca) ) ),
inference(miniscoping,[status(esa)],[f140]) ).
fof(f142,plain,
( ! [Ax,C] :
( model(sk0_32(C,Ax),Ax)
| ~ model(sk0_33(C,Ax),C)
| status(Ax,C,tca) )
& ! [Ax,C] :
( ( ! [I1] : ~ model(I1,Ax)
& ! [I2] : model(I2,C) )
| ~ status(Ax,C,tca) ) ),
inference(skolemization,[status(esa)],[f141]) ).
fof(f143,plain,
! [X0,X1] :
( model(sk0_32(X0,X1),X1)
| ~ model(sk0_33(X0,X1),X0)
| status(X1,X0,tca) ),
inference(cnf_transformation,[status(esa)],[f142]) ).
fof(f145,plain,
! [X0,X1,X2] :
( model(X0,X1)
| ~ status(X2,X1,tca) ),
inference(cnf_transformation,[status(esa)],[f142]) ).
fof(f174,plain,
! [S1,S2] :
( ( ! [Ax,C] :
( ~ status(Ax,C,S1)
| ~ status(Ax,C,S2) )
| mighta(S1,S2) )
& ( ? [Ax,C] :
( status(Ax,C,S1)
& status(Ax,C,S2) )
| ~ mighta(S1,S2) ) ),
inference(NNF_transformation,[status(esa)],[f20]) ).
fof(f175,plain,
( ! [S1,S2] :
( ! [Ax,C] :
( ~ status(Ax,C,S1)
| ~ status(Ax,C,S2) )
| mighta(S1,S2) )
& ! [S1,S2] :
( ? [Ax,C] :
( status(Ax,C,S1)
& status(Ax,C,S2) )
| ~ mighta(S1,S2) ) ),
inference(miniscoping,[status(esa)],[f174]) ).
fof(f176,plain,
( ! [S1,S2] :
( ! [Ax,C] :
( ~ status(Ax,C,S1)
| ~ status(Ax,C,S2) )
| mighta(S1,S2) )
& ! [S1,S2] :
( ( status(sk0_42(S2,S1),sk0_43(S2,S1),S1)
& status(sk0_42(S2,S1),sk0_43(S2,S1),S2) )
| ~ mighta(S1,S2) ) ),
inference(skolemization,[status(esa)],[f175]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( ~ status(X0,X1,X2)
| ~ status(X0,X1,X3)
| mighta(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f176]) ).
fof(f215,plain,
! [I] : model(I,sk0_52),
inference(skolemization,[status(esa)],[f27]) ).
fof(f216,plain,
! [X0] : model(X0,sk0_52),
inference(cnf_transformation,[status(esa)],[f215]) ).
fof(f220,plain,
! [I] : ~ model(I,sk0_56),
inference(skolemization,[status(esa)],[f29]) ).
fof(f221,plain,
! [X0] : ~ model(X0,sk0_56),
inference(cnf_transformation,[status(esa)],[f220]) ).
fof(f240,plain,
~ mighta(tca,thm),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f250,plain,
! [X0,X1,X2] :
( ~ model(sk0_9(X0,X1),X0)
| ~ status(X1,X0,X2)
| mighta(X2,thm) ),
inference(resolution,[status(thm)],[f67,f177]) ).
fof(f251,plain,
! [X0,X1] :
( ~ model(sk0_9(X0,X1),X0)
| ~ status(X1,X0,tca) ),
inference(resolution,[status(thm)],[f250,f240]) ).
fof(f252,plain,
! [X0,X1] : ~ status(X0,X1,tca),
inference(forward_subsumption_resolution,[status(thm)],[f251,f145]) ).
fof(f253,plain,
! [X0,X1] :
( model(sk0_32(X0,X1),X1)
| ~ model(sk0_33(X0,X1),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f143,f252]) ).
fof(f256,plain,
! [X0] : ~ model(sk0_33(X0,sk0_56),X0),
inference(resolution,[status(thm)],[f221,f253]) ).
fof(f260,plain,
$false,
inference(resolution,[status(thm)],[f256,f216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : KRS267+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.05/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n019.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 23:23:29 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.6.0
% 0.11/0.37 % Refutation found
% 0.11/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.39 % Elapsed time: 0.052475 seconds
% 0.11/0.39 % CPU time: 0.327858 seconds
% 0.11/0.39 % Total memory used: 14.918 MB
% 0.11/0.39 % Net memory used: 14.534 MB
%------------------------------------------------------------------------------