TSTP Solution File: COL006-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COL006-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 58.41s 7.77s
% Output : CNFRefutation 58.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 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/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : apply(apply(k,X),Y) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [Y] : apply(Y,f(Y)) != apply(f(Y),apply(Y,f(Y))),
file('/export/starexec/sandbox2/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(X0,f(X0)) != apply(f(X0),apply(X0,f(X0))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f10,plain,
! [X0,X1] : apply(apply(apply(s,k),X0),X1) = X1,
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f11,plain,
! [X0,X1,X2,X3] : apply(apply(apply(s,apply(apply(s,X0),X1)),X2),X3) = apply(apply(apply(X0,X3),apply(X1,X3)),apply(X2,X3)),
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f12,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(f15,plain,
! [X0,X1,X2] : apply(apply(apply(s,X0),apply(k,X1)),X2) = apply(apply(X0,X2),X1),
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f24,plain,
! [X0,X1,X2] : apply(apply(apply(s,apply(apply(s,k),X0)),X1),X2) = apply(X2,apply(X1,X2)),
inference(paramodulation,[status(thm)],[f10,f4]) ).
fof(f75,plain,
! [X0,X1,X2] : apply(X0,apply(X1,apply(X2,X1))) = apply(apply(apply(s,apply(s,apply(k,X0))),X2),X1),
inference(paramodulation,[status(thm)],[f4,f12]) ).
fof(f96,plain,
! [X0,X1] : apply(apply(X0,X1),X0) = apply(apply(apply(apply(s,s),k),X0),X1),
inference(paramodulation,[status(thm)],[f4,f15]) ).
fof(f136,plain,
! [X0,X1] : apply(apply(apply(apply(s,s),k),apply(k,X0)),X1) = apply(X0,apply(k,X0)),
inference(paramodulation,[status(thm)],[f5,f96]) ).
fof(f275,plain,
! [X0,X1] : apply(X0,f(X0)) != apply(apply(apply(s,apply(apply(s,k),X1)),X0),f(X0)),
inference(paramodulation,[status(thm)],[f24,f6]) ).
fof(f409,plain,
! [X0,X1,X2,X3] : apply(apply(apply(X0,X1),apply(X2,X1)),apply(apply(k,X3),X1)) = apply(apply(apply(apply(s,X0),X2),X1),X3),
inference(paramodulation,[status(thm)],[f15,f11]) ).
fof(f524,plain,
! [X0,X1,X2,X3] : apply(apply(apply(X0,X1),apply(X2,X1)),X3) = apply(apply(apply(apply(s,X0),X2),X1),X3),
inference(forward_demodulation,[status(thm)],[f5,f409]) ).
fof(f1384,plain,
! [X0,X1,X2] : apply(apply(X0,apply(X1,X0)),f(apply(X0,apply(X1,X0)))) != apply(apply(apply(apply(s,apply(s,apply(k,apply(s,apply(apply(s,k),X2))))),X1),X0),f(apply(X0,apply(X1,X0)))),
inference(paramodulation,[status(thm)],[f75,f275]) ).
fof(f48229,plain,
! [X0,X1,X2] : apply(apply(apply(apply(s,apply(s,apply(k,apply(s,apply(apply(s,k),X0))))),X1),apply(apply(apply(s,s),k),apply(k,X2))),f(apply(apply(apply(apply(s,s),k),apply(k,X2)),apply(X1,apply(apply(apply(s,s),k),apply(k,X2)))))) != apply(apply(X2,apply(k,X2)),f(apply(apply(apply(apply(s,s),k),apply(k,X2)),apply(X1,apply(apply(apply(s,s),k),apply(k,X2)))))),
inference(paramodulation,[status(thm)],[f136,f1384]) ).
fof(f48770,plain,
$false,
inference(resolution,[status(thm)],[f48229,f524]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n005.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 22:23:41 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 58.41/7.77 % Refutation found
% 58.41/7.77 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 58.41/7.77 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 58.96/7.80 % Elapsed time: 7.425532 seconds
% 58.96/7.80 % CPU time: 58.607477 seconds
% 58.96/7.80 % Total memory used: 871.391 MB
% 58.96/7.80 % Net memory used: 866.296 MB
%------------------------------------------------------------------------------