TSTP Solution File: COL044-5 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COL044-5 : TPTP v8.1.2. Released v1.2.0.
% 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 20:13:38 EDT 2024
% Result : Unsatisfiable 7.38s 1.35s
% Output : CNFRefutation 8.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 26 unt; 0 def)
% Number of atoms : 34 ( 27 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 16 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 12 ( 3 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 : 46 ( 46 !; 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(n,apply(apply(b,apply(b,b)),apply(n,apply(n,apply(b,b)))))),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(n,apply(apply(b,apply(b,b)),apply(n,apply(n,apply(b,b)))))),n)),b)),b)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f12,plain,
! [X0,X1,X2] : apply(apply(apply(n,apply(n,X0)),X1),X2) = apply(apply(apply(apply(X0,X1),X2),X1),X2),
inference(paramodulation,[status(thm)],[f6,f6]) ).
fof(f13,plain,
! [X0,X1,X2] : apply(apply(apply(n,apply(n,X0)),X1),X2) = apply(apply(apply(n,apply(X0,X1)),X1),X2),
inference(forward_demodulation,[status(thm)],[f6,f12]) ).
fof(f14,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(f19,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(f69,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(f70,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,f69]) ).
fof(f81,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,f14]) ).
fof(f117,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)],[f14,f5]) ).
fof(f208,plain,
! [X0,X1,X2,X3] : apply(apply(apply(n,apply(n,apply(apply(b,X0),X1))),X2),X3) = apply(apply(apply(n,apply(X0,apply(X1,X2))),X2),X3),
inference(paramodulation,[status(thm)],[f5,f13]) ).
fof(f921,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,f117]) ).
fof(f1567,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,f19]) ).
fof(f2543,plain,
apply(apply(apply(b,apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(n,apply(b,b)))))),n)),b),apply(b,fixed_pt)) != apply(fixed_pt,apply(apply(apply(b,apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(n,apply(b,b)))))),n)),b),apply(b,fixed_pt))),
inference(resolution,[status(thm)],[f70,f8]) ).
fof(f2544,plain,
apply(apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(n,apply(b,b)))))),n),apply(b,apply(b,fixed_pt))) != apply(fixed_pt,apply(apply(apply(b,apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(n,apply(b,b)))))),n)),b),apply(b,fixed_pt))),
inference(forward_demodulation,[status(thm)],[f5,f2543]) ).
fof(f2545,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(n,apply(apply(b,apply(b,b)),apply(n,apply(n,apply(b,b)))))),n)),b),apply(b,fixed_pt))),
inference(forward_demodulation,[status(thm)],[f208,f2544]) ).
fof(f2546,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(b,apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(n,apply(b,b)))))),n)),b),apply(b,fixed_pt))),
inference(forward_demodulation,[status(thm)],[f1567,f2545]) ).
fof(f2547,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(b,apply(apply(n,apply(n,apply(apply(b,apply(b,b)),apply(n,apply(n,apply(b,b)))))),n)),b),apply(b,fixed_pt))),
inference(forward_demodulation,[status(thm)],[f921,f2546]) ).
fof(f2548,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(n,apply(apply(b,apply(b,b)),apply(n,apply(n,apply(b,b)))))),n),apply(b,apply(b,fixed_pt)))),
inference(forward_demodulation,[status(thm)],[f5,f2547]) ).
fof(f2549,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(apply(b,b),apply(apply(n,apply(n,apply(b,b))),n))),n),apply(b,apply(b,fixed_pt)))),
inference(forward_demodulation,[status(thm)],[f208,f2548]) ).
fof(f2550,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(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)],[f1567,f2549]) ).
fof(f2551,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)],[f921,f2550]) ).
fof(f2552,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)],[f81,f2551]) ).
fof(f2553,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f2552]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : COL044-5 : TPTP v8.1.2. Released v1.2.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n019.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Apr 29 22:27:14 EDT 2024
% 0.09/0.32 % CPUTime :
% 0.09/0.32 % Drodi V3.6.0
% 7.38/1.35 % Refutation found
% 7.38/1.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 7.38/1.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.46/1.39 % Elapsed time: 1.056180 seconds
% 8.46/1.39 % CPU time: 8.165755 seconds
% 8.46/1.39 % Total memory used: 209.085 MB
% 8.46/1.39 % Net memory used: 208.632 MB
%------------------------------------------------------------------------------