TSTP Solution File: LCL114-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL114-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 : Wed May 31 12:18:19 EDT 2023
% Result : Unsatisfiable 0.15s 0.35s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 5
% Syntax : Number of formulae : 53 ( 53 unt; 0 def)
% Number of atoms : 53 ( 52 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 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 : 78 (; 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : implies(truth,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : implies(implies(X,Y),Y) = implies(implies(Y,X),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : implies(implies(not(X),not(Y)),implies(Y,X)) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
implies(implies(x,y),implies(not(y),not(x))) != truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0] : implies(truth,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1,X2] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
implies(implies(x,y),implies(not(y),not(x))) != truth,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0] : implies(X0,X0) = implies(implies(X0,truth),truth),
inference(paramodulation,[status(thm)],[f6,f8]) ).
fof(f16,plain,
! [X0] : implies(implies(not(X0),not(truth)),X0) = truth,
inference(paramodulation,[status(thm)],[f6,f9]) ).
fof(f29,plain,
! [X0] : implies(implies(X0,not(not(X0))),truth) = truth,
inference(paramodulation,[status(thm)],[f9,f7]) ).
fof(f52,plain,
implies(not(not(truth)),truth) = truth,
inference(paramodulation,[status(thm)],[f6,f29]) ).
fof(f63,plain,
! [X0] : implies(truth,implies(implies(truth,X0),implies(not(not(truth)),X0))) = truth,
inference(paramodulation,[status(thm)],[f52,f7]) ).
fof(f64,plain,
! [X0] : implies(implies(truth,X0),implies(not(not(truth)),X0)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f63]) ).
fof(f65,plain,
! [X0] : implies(X0,implies(not(not(truth)),X0)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f64]) ).
fof(f74,plain,
! [X0,X1] : implies(truth,implies(implies(implies(not(not(truth)),X0),X1),implies(X0,X1))) = truth,
inference(paramodulation,[status(thm)],[f65,f7]) ).
fof(f75,plain,
! [X0,X1] : implies(implies(implies(not(not(truth)),X0),X1),implies(X0,X1)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f74]) ).
fof(f96,plain,
! [X0,X1] : implies(truth,implies(X0,implies(implies(X0,X1),implies(not(not(truth)),X1)))) = truth,
inference(paramodulation,[status(thm)],[f7,f75]) ).
fof(f97,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),implies(not(not(truth)),X1))) = truth,
inference(forward_demodulation,[status(thm)],[f6,f96]) ).
fof(f102,plain,
! [X0] : implies(implies(truth,X0),implies(truth,X0)) = truth,
inference(paramodulation,[status(thm)],[f52,f75]) ).
fof(f103,plain,
! [X0] : implies(X0,implies(truth,X0)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f102]) ).
fof(f104,plain,
! [X0] : implies(X0,X0) = truth,
inference(forward_demodulation,[status(thm)],[f6,f103]) ).
fof(f182,plain,
! [X0] : truth = implies(implies(X0,truth),truth),
inference(forward_demodulation,[status(thm)],[f104,f11]) ).
fof(f255,plain,
! [X0] : implies(X0,implies(implies(X0,truth),truth)) = truth,
inference(paramodulation,[status(thm)],[f52,f97]) ).
fof(f256,plain,
! [X0] : implies(X0,truth) = truth,
inference(forward_demodulation,[status(thm)],[f182,f255]) ).
fof(f313,plain,
! [X0,X1] : implies(truth,implies(implies(truth,X0),implies(X1,X0))) = truth,
inference(paramodulation,[status(thm)],[f256,f7]) ).
fof(f314,plain,
! [X0,X1] : implies(implies(truth,X0),implies(X1,X0)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f313]) ).
fof(f315,plain,
! [X0,X1] : implies(X0,implies(X1,X0)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f314]) ).
fof(f349,plain,
! [X0,X1,X2] : implies(truth,implies(implies(implies(X0,X1),X2),implies(X1,X2))) = truth,
inference(paramodulation,[status(thm)],[f315,f7]) ).
fof(f350,plain,
! [X0,X1,X2] : implies(implies(implies(X0,X1),X2),implies(X1,X2)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f349]) ).
fof(f360,plain,
! [X0,X1] : implies(truth,implies(not(X0),implies(X0,X1))) = truth,
inference(paramodulation,[status(thm)],[f9,f350]) ).
fof(f361,plain,
! [X0,X1] : implies(not(X0),implies(X0,X1)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f360]) ).
fof(f465,plain,
! [X0,X1,X2] : implies(truth,implies(implies(implies(X0,X1),X2),implies(not(X0),X2))) = truth,
inference(paramodulation,[status(thm)],[f361,f7]) ).
fof(f466,plain,
! [X0,X1,X2] : implies(implies(implies(X0,X1),X2),implies(not(X0),X2)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f465]) ).
fof(f599,plain,
! [X0] : implies(truth,implies(not(not(X0)),X0)) = truth,
inference(paramodulation,[status(thm)],[f16,f466]) ).
fof(f600,plain,
! [X0] : implies(not(not(X0)),X0) = truth,
inference(forward_demodulation,[status(thm)],[f6,f599]) ).
fof(f681,plain,
! [X0] : implies(truth,implies(X0,not(not(X0)))) = truth,
inference(paramodulation,[status(thm)],[f600,f9]) ).
fof(f682,plain,
! [X0] : implies(X0,not(not(X0))) = truth,
inference(forward_demodulation,[status(thm)],[f6,f681]) ).
fof(f757,plain,
! [X0] : implies(implies(not(not(X0)),X0),X0) = implies(truth,not(not(X0))),
inference(paramodulation,[status(thm)],[f682,f8]) ).
fof(f758,plain,
! [X0] : implies(truth,X0) = implies(truth,not(not(X0))),
inference(forward_demodulation,[status(thm)],[f600,f757]) ).
fof(f759,plain,
! [X0] : X0 = implies(truth,not(not(X0))),
inference(forward_demodulation,[status(thm)],[f6,f758]) ).
fof(f760,plain,
! [X0] : X0 = not(not(X0)),
inference(forward_demodulation,[status(thm)],[f6,f759]) ).
fof(f771,plain,
! [X0,X1] : implies(implies(not(X0),X1),implies(not(X1),X0)) = truth,
inference(paramodulation,[status(thm)],[f760,f9]) ).
fof(f1225,plain,
! [X0,X1] : implies(implies(implies(not(X0),X1),implies(not(X1),X0)),implies(not(X1),X0)) = implies(truth,implies(not(X0),X1)),
inference(paramodulation,[status(thm)],[f771,f8]) ).
fof(f1226,plain,
! [X0,X1] : implies(truth,implies(not(X0),X1)) = implies(truth,implies(not(X1),X0)),
inference(forward_demodulation,[status(thm)],[f771,f1225]) ).
fof(f1227,plain,
! [X0,X1] : implies(not(X0),X1) = implies(truth,implies(not(X1),X0)),
inference(forward_demodulation,[status(thm)],[f6,f1226]) ).
fof(f1228,plain,
! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
inference(forward_demodulation,[status(thm)],[f6,f1227]) ).
fof(f1831,plain,
! [X0,X1] : implies(X0,X1) = implies(not(X1),not(X0)),
inference(paramodulation,[status(thm)],[f760,f1228]) ).
fof(f1955,plain,
implies(implies(x,y),implies(x,y)) != truth,
inference(backward_demodulation,[status(thm)],[f1831,f10]) ).
fof(f1956,plain,
truth != truth,
inference(forward_demodulation,[status(thm)],[f104,f1955]) ).
fof(f1957,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1956]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LCL114-2 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n015.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 09:55:04 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 0.15/0.35 % Refutation found
% 0.15/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.25/0.59 % Elapsed time: 0.060253 seconds
% 0.25/0.59 % CPU time: 0.091113 seconds
% 0.25/0.59 % Memory used: 2.134 MB
%------------------------------------------------------------------------------