TSTP Solution File: COL004-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COL004-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 20:13:31 EDT 2024
% Result : Unsatisfiable 16.61s 2.49s
% Output : CNFRefutation 16.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : apply(apply(apply(s,X),Y),Z) = apply(apply(X,Z),apply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : apply(apply(k,X),Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [Z] : apply(apply(Z,f(Z)),g(Z)) != apply(g(Z),apply(apply(f(Z),f(Z)),g(Z))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : apply(apply(apply(s,X0),X1),X2) = apply(apply(X0,X2),apply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : apply(apply(k,X0),X1) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
! [X0] : apply(apply(X0,f(X0)),g(X0)) != apply(g(X0),apply(apply(f(X0),f(X0)),g(X0))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2] : apply(apply(X0,X1),apply(apply(X2,X0),X1)) = apply(apply(apply(apply(s,s),X2),X0),X1),
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f8,plain,
! [X0,X1] : apply(apply(apply(s,k),X0),X1) = X1,
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f10,plain,
! [X0,X1,X2] : apply(apply(apply(s,apply(k,X0)),X1),X2) = apply(X0,apply(X1,X2)),
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f21,plain,
! [X0,X1,X2] : apply(apply(apply(s,apply(apply(s,k),X0)),X1),X2) = apply(X2,apply(X1,X2)),
inference(paramodulation,[status(thm)],[f8,f4]) ).
fof(f32,plain,
! [X0,X1] : apply(apply(apply(apply(s,s),apply(s,k)),X0),X1) = apply(apply(X0,X1),X1),
inference(paramodulation,[status(thm)],[f8,f7]) ).
fof(f79,plain,
! [X0,X1,X2,X3] : apply(apply(apply(s,apply(apply(s,apply(k,X0)),X1)),X2),X3) = apply(apply(X0,apply(X1,X3)),apply(X2,X3)),
inference(paramodulation,[status(thm)],[f10,f4]) ).
fof(f463,plain,
! [X0,X1] : apply(apply(X0,f(X0)),g(X0)) != apply(apply(apply(s,apply(apply(s,k),X1)),apply(f(X0),f(X0))),g(X0)),
inference(paramodulation,[status(thm)],[f21,f6]) ).
fof(f16008,plain,
! [X0] : apply(apply(X0,f(X0)),g(X0)) != apply(apply(apply(apply(s,apply(apply(s,apply(k,s)),apply(s,k))),f(X0)),f(X0)),g(X0)),
inference(paramodulation,[status(thm)],[f79,f463]) ).
fof(f17364,plain,
! [X0] : apply(apply(X0,f(X0)),g(X0)) != apply(apply(apply(apply(apply(s,s),apply(s,k)),apply(s,apply(apply(s,apply(k,s)),apply(s,k)))),f(X0)),g(X0)),
inference(paramodulation,[status(thm)],[f32,f16008]) ).
fof(f17366,plain,
$false,
inference(equality_resolution,[status(esa)],[f17364]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : COL004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Apr 29 22:19:10 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 16.61/2.49 % Refutation found
% 16.61/2.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 16.61/2.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 16.61/2.51 % Elapsed time: 2.156996 seconds
% 16.61/2.51 % CPU time: 16.908668 seconds
% 16.61/2.51 % Total memory used: 272.234 MB
% 16.61/2.51 % Net memory used: 270.213 MB
%------------------------------------------------------------------------------