TSTP Solution File: SYN313-1.001.002 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN313-1.001.002 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 20:51:50 EDT 2024
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 2
% Syntax : Number of formulae : 24 ( 5 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 32 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1,X2] :
( ~ p(X0,f0(X0),X1)
| ~ p(X0,f1(X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [Y0,Y2,Y1] :
( p(h0,Y0,j0(Y2))
| p(h1(Y0),Y1,j1(Y2))
| p(h2(Y1),Y2,j2(Y2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1] :
( ~ p(X0,f0(X0),X1)
| ! [X2] : ~ p(X0,f1(X1),X2) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f4,plain,
! [X0,X1,X2] :
( ~ p(X0,f0(X0),X1)
| ~ p(X0,f1(X1),X2) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f5,plain,
! [Y2,Y1] :
( ! [Y0] :
( p(h0,Y0,j0(Y2))
| p(h1(Y0),Y1,j1(Y2)) )
| p(h2(Y1),Y2,j2(Y2)) ),
inference(miniscoping,[status(esa)],[f2]) ).
fof(f6,plain,
! [X0,X1,X2] :
( p(h0,X0,j0(X1))
| p(h1(X0),X2,j1(X1))
| p(h2(X2),X1,j2(X1)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f7,plain,
! [X0,X1,X2] :
( p(h0,X0,j0(X1))
| p(h2(f1(X2)),X1,j2(X1))
| ~ p(h1(X0),f0(h1(X0)),X2) ),
inference(resolution,[status(thm)],[f6,f4]) ).
fof(f9,plain,
! [X0,X1,X2] :
( p(h2(f1(X0)),X1,j2(X1))
| ~ p(h1(f1(X2)),f0(h1(f1(X2))),X0)
| ~ p(h0,f0(h0),X2) ),
inference(resolution,[status(thm)],[f7,f4]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ~ p(h1(f1(X0)),f0(h1(f1(X0))),X1)
| ~ p(h0,f0(h0),X0)
| ~ p(h2(f1(X1)),f0(h2(f1(X1))),X2) ),
inference(resolution,[status(thm)],[f9,f4]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ~ p(h1(f1(X0)),f0(h1(f1(X0))),X1)
| ~ p(h0,f0(h0),X0)
| ~ p(h1(f1(X2)),f0(h1(f1(X2))),X1)
| ~ p(h0,f0(h0),X2) ),
inference(resolution,[status(thm)],[f13,f9]) ).
fof(f29,plain,
! [X0,X1] :
( ~ p(h0,f0(h0),X0)
| ~ p(h0,f0(h0),X0)
| p(h0,f1(X0),j0(X1))
| p(h2(f0(h1(f1(X0)))),X1,j2(X1)) ),
inference(resolution,[status(thm)],[f20,f6]) ).
fof(f30,plain,
! [X0,X1] :
( ~ p(h0,f0(h0),X0)
| p(h0,f1(X0),j0(X1))
| p(h2(f0(h1(f1(X0)))),X1,j2(X1)) ),
inference(duplicate_literals_removal,[status(esa)],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( ~ p(h0,f0(h0),X0)
| p(h2(f0(h1(f1(X0)))),X1,j2(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f30,f4]) ).
fof(f39,plain,
! [X0,X1] :
( ~ p(h0,f0(h0),X0)
| ~ p(h2(f0(h1(f1(X0)))),f0(h2(f0(h1(f1(X0))))),X1) ),
inference(resolution,[status(thm)],[f31,f4]) ).
fof(f41,plain,
! [X0] :
( ~ p(h0,f0(h0),X0)
| ~ p(h0,f0(h0),X0) ),
inference(resolution,[status(thm)],[f39,f31]) ).
fof(f42,plain,
! [X0] : ~ p(h0,f0(h0),X0),
inference(duplicate_literals_removal,[status(esa)],[f41]) ).
fof(f44,plain,
! [X0,X1] :
( p(h2(f1(X0)),X1,j2(X1))
| ~ p(h1(f0(h0)),f0(h1(f0(h0))),X0) ),
inference(resolution,[status(thm)],[f42,f7]) ).
fof(f47,plain,
! [X0,X1] :
( ~ p(h1(f0(h0)),f0(h1(f0(h0))),X0)
| ~ p(h2(f1(X0)),f0(h2(f1(X0))),X1) ),
inference(resolution,[status(thm)],[f44,f4]) ).
fof(f66,plain,
! [X0] :
( ~ p(h1(f0(h0)),f0(h1(f0(h0))),X0)
| ~ p(h1(f0(h0)),f0(h1(f0(h0))),X0) ),
inference(resolution,[status(thm)],[f47,f44]) ).
fof(f67,plain,
! [X0] : ~ p(h1(f0(h0)),f0(h1(f0(h0))),X0),
inference(duplicate_literals_removal,[status(esa)],[f66]) ).
fof(f68,plain,
! [X0] :
( p(h0,f0(h0),j0(X0))
| p(h2(f0(h1(f0(h0)))),X0,j2(X0)) ),
inference(resolution,[status(thm)],[f67,f6]) ).
fof(f69,plain,
! [X0] : p(h2(f0(h1(f0(h0)))),X0,j2(X0)),
inference(forward_subsumption_resolution,[status(thm)],[f68,f42]) ).
fof(f70,plain,
! [X0] : ~ p(h2(f0(h1(f0(h0)))),f0(h2(f0(h1(f0(h0))))),X0),
inference(resolution,[status(thm)],[f69,f4]) ).
fof(f72,plain,
$false,
inference(resolution,[status(thm)],[f70,f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN313-1.001.002 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n017.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 : Mon Apr 29 21:36:03 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37 % Elapsed time: 0.020352 seconds
% 0.13/0.37 % CPU time: 0.062464 seconds
% 0.13/0.37 % Total memory used: 3.524 MB
% 0.13/0.37 % Net memory used: 3.442 MB
%------------------------------------------------------------------------------