TSTP Solution File: COL061-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COL061-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 12 ( 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 : 23 ( 23 !; 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(f(X),apply(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(f(X0),apply(h(X0),g(X0))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f11,plain,
! [X0,X1] : apply(f(apply(apply(b,X0),X1)),apply(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(f(apply(apply(b,apply(apply(b,X0),X1)),X2)),apply(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(f(apply(apply(b,apply(apply(b,apply(t,X0)),X1)),X2)),apply(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(f(apply(apply(b,apply(apply(b,apply(t,X0)),b)),X1)),apply(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(f523,plain,
! [X0] : apply(f(apply(apply(b,apply(apply(b,apply(t,X0)),b)),b)),apply(h(apply(apply(b,apply(apply(b,apply(t,X0)),b)),b)),g(apply(apply(b,apply(apply(b,apply(t,X0)),b)),b)))) != apply(f(apply(apply(b,apply(apply(b,apply(t,X0)),b)),b)),apply(apply(X0,g(apply(apply(b,apply(apply(b,apply(t,X0)),b)),b))),h(apply(apply(b,apply(apply(b,apply(t,X0)),b)),b)))),
inference(paramodulation,[status(thm)],[f4,f235]) ).
fof(f676,plain,
apply(f(apply(apply(b,apply(apply(b,apply(t,t)),b)),b)),apply(h(apply(apply(b,apply(apply(b,apply(t,t)),b)),b)),g(apply(apply(b,apply(apply(b,apply(t,t)),b)),b)))) != apply(f(apply(apply(b,apply(apply(b,apply(t,t)),b)),b)),apply(h(apply(apply(b,apply(apply(b,apply(t,t)),b)),b)),g(apply(apply(b,apply(apply(b,apply(t,t)),b)),b)))),
inference(paramodulation,[status(thm)],[f5,f523]) ).
fof(f679,plain,
$false,
inference(equality_resolution,[status(esa)],[f676]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COL061-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 23:00:55 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.19/0.50 % Refutation found
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.51 % Elapsed time: 0.151051 seconds
% 0.19/0.51 % CPU time: 1.094175 seconds
% 0.19/0.51 % Total memory used: 91.240 MB
% 0.19/0.51 % Net memory used: 91.092 MB
%------------------------------------------------------------------------------