TSTP Solution File: KRS268+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS268+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 12 unt; 0 def)
% Number of atoms : 109 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 126 ( 51 ~; 41 |; 28 &)
% ( 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 : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 108 ( 85 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,Ax)
=> model(I1,C) )
<=> status(Ax,C,thm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [Ax,C] :
( ( ~ ? [I1] : model(I1,Ax)
& ? [I2] : model(I2,C)
& ? [I3] : ~ model(I3,C) )
<=> status(Ax,C,wca) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [S1,S2] :
( ? [Ax,C] :
( status(Ax,C,S1)
& status(Ax,C,S2) )
<=> mighta(S1,S2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
? [F] :
( ? [I1] : model(I1,F)
& ? [I2] : ~ model(I2,F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
? [F] :
! [I] : ~ model(I,F),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,conjecture,
mighta(wca,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ mighta(wca,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(f66,plain,
! [X0,X1] :
( model(sk0_9(X0,X1),X1)
| status(X1,X0,thm) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f146,plain,
! [Ax,C] :
( ( ! [I1] : ~ model(I1,Ax)
& ? [I2] : model(I2,C)
& ? [I3] : ~ model(I3,C) )
<=> status(Ax,C,wca) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f147,plain,
! [Ax,C] :
( ( ? [I1] : model(I1,Ax)
| ! [I2] : ~ model(I2,C)
| ! [I3] : model(I3,C)
| status(Ax,C,wca) )
& ( ( ! [I1] : ~ model(I1,Ax)
& ? [I2] : model(I2,C)
& ? [I3] : ~ model(I3,C) )
| ~ status(Ax,C,wca) ) ),
inference(NNF_transformation,[status(esa)],[f146]) ).
fof(f148,plain,
( ! [Ax,C] :
( ? [I1] : model(I1,Ax)
| ! [I2] : ~ model(I2,C)
| ! [I3] : model(I3,C)
| status(Ax,C,wca) )
& ! [Ax,C] :
( ( ! [I1] : ~ model(I1,Ax)
& ? [I2] : model(I2,C)
& ? [I3] : ~ model(I3,C) )
| ~ status(Ax,C,wca) ) ),
inference(miniscoping,[status(esa)],[f147]) ).
fof(f149,plain,
( ! [Ax,C] :
( model(sk0_34(C,Ax),Ax)
| ! [I2] : ~ model(I2,C)
| ! [I3] : model(I3,C)
| status(Ax,C,wca) )
& ! [Ax,C] :
( ( ! [I1] : ~ model(I1,Ax)
& model(sk0_35(C,Ax),C)
& ~ model(sk0_36(C,Ax),C) )
| ~ status(Ax,C,wca) ) ),
inference(skolemization,[status(esa)],[f148]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( model(sk0_34(X0,X1),X1)
| ~ model(X2,X0)
| model(X3,X0)
| status(X1,X0,wca) ),
inference(cnf_transformation,[status(esa)],[f149]) ).
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(f217,plain,
( model(sk0_54,sk0_53)
& ~ model(sk0_55,sk0_53) ),
inference(skolemization,[status(esa)],[f28]) ).
fof(f218,plain,
model(sk0_54,sk0_53),
inference(cnf_transformation,[status(esa)],[f217]) ).
fof(f219,plain,
~ model(sk0_55,sk0_53),
inference(cnf_transformation,[status(esa)],[f217]) ).
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(wca,thm),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f252,plain,
! [X0,X1,X2] :
( ~ model(X0,X1)
| model(X2,X1)
| status(sk0_56,X1,wca) ),
inference(resolution,[status(thm)],[f221,f150]) ).
fof(f253,plain,
! [X0] : status(sk0_56,X0,thm),
inference(resolution,[status(thm)],[f221,f66]) ).
fof(f260,plain,
! [X0,X1] :
( ~ status(sk0_56,X0,X1)
| mighta(X1,thm) ),
inference(resolution,[status(thm)],[f253,f177]) ).
fof(f261,plain,
! [X0] : ~ status(sk0_56,X0,wca),
inference(resolution,[status(thm)],[f260,f240]) ).
fof(f262,plain,
! [X0,X1,X2] :
( ~ model(X0,X1)
| model(X2,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f252,f261]) ).
fof(f268,plain,
! [X0] : ~ model(X0,sk0_53),
inference(resolution,[status(thm)],[f219,f262]) ).
fof(f269,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f218,f268]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : KRS268+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n009.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 : Mon Apr 29 23:18:11 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.20/0.42 % Refutation found
% 0.20/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.43 % Elapsed time: 0.086442 seconds
% 0.20/0.43 % CPU time: 0.586601 seconds
% 0.20/0.43 % Total memory used: 17.088 MB
% 0.20/0.43 % Net memory used: 16.739 MB
%------------------------------------------------------------------------------