TSTP Solution File: KRS258+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS258+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 20:25:06 EDT 2024
% Result : Theorem 0.18s 0.37s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 10 unt; 0 def)
% Number of atoms : 111 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 134 ( 52 ~; 50 |; 26 &)
% ( 5 <=>; 1 =>; 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 : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 93 ( 79 !; 14 ?)
% 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(f6,axiom,
! [Ax,C] :
( ( ? [I1] : model(I1,Ax)
& ! [I2] :
( model(I2,Ax)
<=> model(I2,C) ) )
<=> status(Ax,C,eqv) ),
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(f33,conjecture,
mighta(eqv,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ mighta(eqv,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(f69,plain,
! [Ax,C] :
( ( ! [I1] : ~ model(I1,Ax)
| ? [I2] :
( ( ~ model(I2,Ax)
| ~ model(I2,C) )
& ( model(I2,Ax)
| model(I2,C) ) )
| status(Ax,C,eqv) )
& ( ( ? [I1] : model(I1,Ax)
& ! [I2] :
( ( ~ model(I2,Ax)
| model(I2,C) )
& ( model(I2,Ax)
| ~ model(I2,C) ) ) )
| ~ status(Ax,C,eqv) ) ),
inference(NNF_transformation,[status(esa)],[f6]) ).
fof(f70,plain,
( ! [Ax,C] :
( ! [I1] : ~ model(I1,Ax)
| ? [I2] :
( ( ~ model(I2,Ax)
| ~ model(I2,C) )
& ( model(I2,Ax)
| model(I2,C) ) )
| status(Ax,C,eqv) )
& ! [Ax,C] :
( ( ? [I1] : model(I1,Ax)
& ! [I2] :
( ~ model(I2,Ax)
| model(I2,C) )
& ! [I2] :
( model(I2,Ax)
| ~ model(I2,C) ) )
| ~ status(Ax,C,eqv) ) ),
inference(miniscoping,[status(esa)],[f69]) ).
fof(f71,plain,
( ! [Ax,C] :
( ! [I1] : ~ model(I1,Ax)
| ( ( ~ model(sk0_10(C,Ax),Ax)
| ~ model(sk0_10(C,Ax),C) )
& ( model(sk0_10(C,Ax),Ax)
| model(sk0_10(C,Ax),C) ) )
| status(Ax,C,eqv) )
& ! [Ax,C] :
( ( model(sk0_11(C,Ax),Ax)
& ! [I2] :
( ~ model(I2,Ax)
| model(I2,C) )
& ! [I2] :
( model(I2,Ax)
| ~ model(I2,C) ) )
| ~ status(Ax,C,eqv) ) ),
inference(skolemization,[status(esa)],[f70]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ~ model(X0,X1)
| ~ model(sk0_10(X2,X1),X1)
| ~ model(sk0_10(X2,X1),X2)
| status(X1,X2,eqv) ),
inference(cnf_transformation,[status(esa)],[f71]) ).
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(f240,plain,
~ mighta(eqv,thm),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f328,plain,
! [X0] : status(X0,sk0_52,thm),
inference(resolution,[status(thm)],[f67,f216]) ).
fof(f339,plain,
! [X0,X1] :
( ~ status(X0,sk0_52,X1)
| mighta(X1,thm) ),
inference(resolution,[status(thm)],[f328,f177]) ).
fof(f340,plain,
! [X0] : ~ status(X0,sk0_52,eqv),
inference(resolution,[status(thm)],[f339,f240]) ).
fof(f345,plain,
! [X0,X1] :
( ~ model(X0,X1)
| ~ model(sk0_10(sk0_52,X1),X1)
| status(X1,sk0_52,eqv) ),
inference(resolution,[status(thm)],[f72,f216]) ).
fof(f346,plain,
! [X0,X1] :
( ~ model(X0,X1)
| ~ model(sk0_10(sk0_52,X1),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f345,f340]) ).
fof(f356,plain,
! [X0] : ~ model(X0,sk0_52),
inference(resolution,[status(thm)],[f346,f216]) ).
fof(f357,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f356,f216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KRS258+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n023.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon Apr 29 23:38:55 EDT 2024
% 0.18/0.34 % CPUTime :
% 0.18/0.35 % Drodi V3.6.0
% 0.18/0.37 % Refutation found
% 0.18/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.38 % Elapsed time: 0.028722 seconds
% 0.18/0.38 % CPU time: 0.140557 seconds
% 0.18/0.38 % Total memory used: 9.126 MB
% 0.18/0.38 % Net memory used: 9.078 MB
%------------------------------------------------------------------------------