TSTP Solution File: COL044-3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COL044-3 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 20:13:38 EDT 2024
% Result : Unsatisfiable 0.21s 0.55s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 21 unt; 0 def)
% Number of atoms : 29 ( 22 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 14 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : apply(apply(apply(n,X),Y),Z) = apply(apply(apply(X,Z),Y),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [Strong_fixed_point] :
( apply(Strong_fixed_point,fixed_pt) != apply(fixed_pt,apply(Strong_fixed_point,fixed_pt))
| fixed_point(Strong_fixed_point) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ fixed_point(apply(apply(b,apply(apply(b,apply(apply(n,apply(apply(b,b),apply(apply(n,apply(n,apply(b,b))),n))),n)),b)),b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0,X1,X2] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f6,plain,
! [X0,X1,X2] : apply(apply(apply(n,X0),X1),X2) = apply(apply(apply(X0,X2),X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f7,plain,
! [X0] :
( apply(X0,fixed_pt) != apply(fixed_pt,apply(X0,fixed_pt))
| fixed_point(X0) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f8,plain,
~ fixed_point(apply(apply(b,apply(apply(b,apply(apply(n,apply(apply(b,b),apply(apply(n,apply(n,apply(b,b))),n))),n)),b)),b)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f9,plain,
! [X0,X1] :
( apply(apply(apply(b,X0),X1),fixed_pt) != apply(fixed_pt,apply(X0,apply(X1,fixed_pt)))
| fixed_point(apply(apply(b,X0),X1)) ),
inference(paramodulation,[status(thm)],[f5,f7]) ).
fof(f10,plain,
! [X0,X1] :
( apply(X0,apply(X1,fixed_pt)) != apply(fixed_pt,apply(X0,apply(X1,fixed_pt)))
| fixed_point(apply(apply(b,X0),X1)) ),
inference(forward_demodulation,[status(thm)],[f5,f9]) ).
fof(f16,plain,
! [X0,X1,X2] : apply(apply(apply(n,apply(b,X0)),X1),X2) = apply(apply(X0,apply(X2,X1)),X2),
inference(paramodulation,[status(thm)],[f5,f6]) ).
fof(f21,plain,
! [X0,X1,X2,X3] : apply(apply(apply(n,apply(apply(b,X0),X1)),X2),X3) = apply(apply(apply(X0,apply(X1,X3)),X2),X3),
inference(paramodulation,[status(thm)],[f5,f6]) ).
fof(f44,plain,
apply(apply(apply(b,apply(apply(n,apply(apply(b,b),apply(apply(n,apply(n,apply(b,b))),n))),n)),b),apply(b,fixed_pt)) != apply(fixed_pt,apply(apply(apply(b,apply(apply(n,apply(apply(b,b),apply(apply(n,apply(n,apply(b,b))),n))),n)),b),apply(b,fixed_pt))),
inference(resolution,[status(thm)],[f10,f8]) ).
fof(f45,plain,
apply(apply(apply(n,apply(apply(b,b),apply(apply(n,apply(n,apply(b,b))),n))),n),apply(b,apply(b,fixed_pt))) != apply(fixed_pt,apply(apply(apply(b,apply(apply(n,apply(apply(b,b),apply(apply(n,apply(n,apply(b,b))),n))),n)),b),apply(b,fixed_pt))),
inference(forward_demodulation,[status(thm)],[f5,f44]) ).
fof(f46,plain,
apply(apply(apply(n,apply(apply(b,b),apply(apply(n,apply(n,apply(b,b))),n))),n),apply(b,apply(b,fixed_pt))) != apply(fixed_pt,apply(apply(apply(n,apply(apply(b,b),apply(apply(n,apply(n,apply(b,b))),n))),n),apply(b,apply(b,fixed_pt)))),
inference(forward_demodulation,[status(thm)],[f5,f45]) ).
fof(f83,plain,
! [X0,X1,X2] : apply(apply(apply(n,apply(b,apply(b,X0))),X1),X2) = apply(X0,apply(apply(X2,X1),X2)),
inference(paramodulation,[status(thm)],[f5,f16]) ).
fof(f118,plain,
! [X0,X1,X2] : apply(apply(apply(apply(n,apply(b,b)),X0),X1),X2) = apply(apply(X1,X0),apply(X1,X2)),
inference(paramodulation,[status(thm)],[f16,f5]) ).
fof(f550,plain,
! [X0,X1,X2] : apply(apply(apply(n,apply(apply(b,b),X0)),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
inference(paramodulation,[status(thm)],[f5,f21]) ).
fof(f675,plain,
! [X0,X1] : apply(apply(apply(n,apply(n,apply(b,b))),X0),X1) = apply(apply(X0,X1),apply(X0,X1)),
inference(paramodulation,[status(thm)],[f6,f118]) ).
fof(f1912,plain,
apply(apply(apply(apply(n,apply(n,apply(b,b))),n),apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(n,apply(apply(b,b),apply(apply(n,apply(n,apply(b,b))),n))),n),apply(b,apply(b,fixed_pt)))),
inference(forward_demodulation,[status(thm)],[f550,f46]) ).
fof(f1913,plain,
apply(apply(apply(apply(n,apply(n,apply(b,b))),n),apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(apply(n,apply(n,apply(b,b))),n),apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt))))),
inference(forward_demodulation,[status(thm)],[f550,f1912]) ).
fof(f2006,plain,
apply(apply(apply(apply(n,apply(n,apply(b,b))),n),apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(n,apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt))))),
inference(paramodulation,[status(thm)],[f675,f1913]) ).
fof(f2007,plain,
apply(apply(apply(n,apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt)))) != apply(fixed_pt,apply(apply(apply(n,apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt))))),
inference(forward_demodulation,[status(thm)],[f675,f2006]) ).
fof(f2008,plain,
apply(apply(apply(n,apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt)))) != apply(apply(apply(n,apply(b,apply(b,fixed_pt))),apply(n,apply(b,apply(b,fixed_pt)))),apply(n,apply(b,apply(b,fixed_pt)))),
inference(forward_demodulation,[status(thm)],[f83,f2007]) ).
fof(f2009,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f2008]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : COL044-3 : TPTP v8.1.2. Released v1.2.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.34 % Computer : n020.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Apr 29 22:23:47 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % Drodi V3.6.0
% 0.21/0.55 % Refutation found
% 0.21/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.57 % Elapsed time: 0.213318 seconds
% 0.21/0.57 % CPU time: 1.584861 seconds
% 0.21/0.57 % Total memory used: 83.368 MB
% 0.21/0.57 % Net memory used: 83.196 MB
%------------------------------------------------------------------------------