TSTP Solution File: COL062-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COL062-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 20:13:42 EDT 2024
% Result : Unsatisfiable 6.92s 1.32s
% Output : CNFRefutation 8.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 14 unt; 0 def)
% Number of atoms : 14 ( 13 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 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] : apply(apply(t,X),Y) = apply(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X] : apply(apply(apply(X,f(X)),g(X)),h(X)) != apply(apply(f(X),h(X)),g(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
! [X0] : apply(apply(apply(X0,f(X0)),g(X0)),h(X0)) != apply(apply(f(X0),h(X0)),g(X0)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f11,plain,
! [X0,X1] : apply(apply(f(apply(apply(b,X0),X1)),h(apply(apply(b,X0),X1))),g(apply(apply(b,X0),X1))) != apply(apply(apply(X0,apply(X1,f(apply(apply(b,X0),X1)))),g(apply(apply(b,X0),X1))),h(apply(apply(b,X0),X1))),
inference(paramodulation,[status(thm)],[f4,f6]) ).
fof(f19,plain,
! [X0,X1,X2] : apply(apply(f(apply(apply(b,apply(apply(b,X0),X1)),X2)),h(apply(apply(b,apply(apply(b,X0),X1)),X2))),g(apply(apply(b,apply(apply(b,X0),X1)),X2))) != apply(apply(apply(X0,apply(X1,apply(X2,f(apply(apply(b,apply(apply(b,X0),X1)),X2))))),g(apply(apply(b,apply(apply(b,X0),X1)),X2))),h(apply(apply(b,apply(apply(b,X0),X1)),X2))),
inference(paramodulation,[status(thm)],[f4,f11]) ).
fof(f49,plain,
! [X0,X1,X2] : apply(apply(f(apply(apply(b,apply(apply(b,apply(t,X0)),X1)),X2)),h(apply(apply(b,apply(apply(b,apply(t,X0)),X1)),X2))),g(apply(apply(b,apply(apply(b,apply(t,X0)),X1)),X2))) != apply(apply(apply(apply(X1,apply(X2,f(apply(apply(b,apply(apply(b,apply(t,X0)),X1)),X2)))),X0),g(apply(apply(b,apply(apply(b,apply(t,X0)),X1)),X2))),h(apply(apply(b,apply(apply(b,apply(t,X0)),X1)),X2))),
inference(paramodulation,[status(thm)],[f5,f19]) ).
fof(f235,plain,
! [X0,X1] : apply(apply(f(apply(apply(b,apply(apply(b,apply(t,X0)),b)),X1)),h(apply(apply(b,apply(apply(b,apply(t,X0)),b)),X1))),g(apply(apply(b,apply(apply(b,apply(t,X0)),b)),X1))) != apply(apply(apply(X1,f(apply(apply(b,apply(apply(b,apply(t,X0)),b)),X1))),apply(X0,g(apply(apply(b,apply(apply(b,apply(t,X0)),b)),X1)))),h(apply(apply(b,apply(apply(b,apply(t,X0)),b)),X1))),
inference(paramodulation,[status(thm)],[f4,f49]) ).
fof(f525,plain,
! [X0] : apply(apply(f(apply(apply(b,apply(apply(b,apply(t,X0)),b)),t)),h(apply(apply(b,apply(apply(b,apply(t,X0)),b)),t))),g(apply(apply(b,apply(apply(b,apply(t,X0)),b)),t))) != apply(apply(apply(X0,g(apply(apply(b,apply(apply(b,apply(t,X0)),b)),t))),f(apply(apply(b,apply(apply(b,apply(t,X0)),b)),t))),h(apply(apply(b,apply(apply(b,apply(t,X0)),b)),t))),
inference(paramodulation,[status(thm)],[f5,f235]) ).
fof(f701,plain,
! [X0,X1] : apply(apply(f(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,X0),X1))),b)),t)),h(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,X0),X1))),b)),t))),g(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,X0),X1))),b)),t))) != apply(apply(apply(X0,apply(X1,g(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,X0),X1))),b)),t)))),f(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,X0),X1))),b)),t))),h(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,X0),X1))),b)),t))),
inference(paramodulation,[status(thm)],[f4,f525]) ).
fof(f3957,plain,
! [X0] : apply(apply(f(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),X0))),b)),t)),h(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),X0))),b)),t))),g(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),X0))),b)),t))) != apply(apply(X0,g(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),X0))),b)),t))),apply(f(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),X0))),b)),t)),h(apply(apply(b,apply(apply(b,apply(t,apply(apply(b,b),X0))),b)),t)))),
inference(paramodulation,[status(thm)],[f4,f701]) ).
fof(f3964,plain,
$false,
inference(resolution,[status(thm)],[f3957,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COL062-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n014.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 22:19:19 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 6.92/1.32 % Refutation found
% 6.92/1.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.92/1.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.53/1.49 % Elapsed time: 1.106524 seconds
% 8.53/1.49 % CPU time: 8.138779 seconds
% 8.53/1.49 % Total memory used: 554.496 MB
% 8.53/1.49 % Net memory used: 554.187 MB
%------------------------------------------------------------------------------