TSTP Solution File: COL049-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COL049-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 20:13:39 EDT 2024
% Result : Unsatisfiable 0.19s 0.45s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : apply(apply(w,X),Y) = apply(apply(X,Y),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : apply(m,X) = apply(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [Y] : apply(Y,f(Y)) != apply(f(Y),apply(Y,f(Y))),
file('/export/starexec/sandbox2/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] : apply(apply(w,X0),X1) = apply(apply(X0,X1),X1),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f7,plain,
! [X0] : apply(m,X0) = apply(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f8,plain,
! [X0] : apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f28,plain,
! [X0,X1] : apply(X0,apply(X1,X1)) = apply(apply(w,apply(b,X0)),X1),
inference(paramodulation,[status(thm)],[f6,f5]) ).
fof(f34,plain,
! [X0,X1] : apply(apply(apply(b,X0),X1),f(apply(apply(b,X0),X1))) != apply(f(apply(apply(b,X0),X1)),apply(X0,apply(X1,f(apply(apply(b,X0),X1))))),
inference(paramodulation,[status(thm)],[f5,f8]) ).
fof(f38,plain,
! [X0,X1] : apply(X0,apply(X1,f(apply(apply(b,X0),X1)))) != apply(f(apply(apply(b,X0),X1)),apply(X0,apply(X1,f(apply(apply(b,X0),X1))))),
inference(forward_demodulation,[status(thm)],[f5,f34]) ).
fof(f41,plain,
! [X0,X1,X2] : apply(apply(apply(b,X0),X1),apply(X2,f(apply(apply(b,apply(apply(b,X0),X1)),X2)))) != apply(f(apply(apply(b,apply(apply(b,X0),X1)),X2)),apply(X0,apply(X1,apply(X2,f(apply(apply(b,apply(apply(b,X0),X1)),X2)))))),
inference(paramodulation,[status(thm)],[f5,f38]) ).
fof(f45,plain,
! [X0,X1,X2] : apply(X0,apply(X1,apply(X2,f(apply(apply(b,apply(apply(b,X0),X1)),X2))))) != apply(f(apply(apply(b,apply(apply(b,X0),X1)),X2)),apply(X0,apply(X1,apply(X2,f(apply(apply(b,apply(apply(b,X0),X1)),X2)))))),
inference(forward_demodulation,[status(thm)],[f5,f41]) ).
fof(f111,plain,
! [X0,X1] : apply(apply(w,apply(b,X0)),X1) = apply(X0,apply(m,X1)),
inference(paramodulation,[status(thm)],[f7,f28]) ).
fof(f237,plain,
! [X0] : apply(X0,apply(m,apply(w,apply(b,X0)))) = apply(m,apply(w,apply(b,X0))),
inference(paramodulation,[status(thm)],[f7,f111]) ).
fof(f261,plain,
$false,
inference(resolution,[status(thm)],[f237,f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : COL049-1 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n003.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 22:32:33 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.19/0.45 % Refutation found
% 0.19/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.47 % Elapsed time: 0.122259 seconds
% 0.19/0.47 % CPU time: 0.877226 seconds
% 0.19/0.47 % Total memory used: 33.285 MB
% 0.19/0.47 % Net memory used: 32.961 MB
%------------------------------------------------------------------------------