TSTP Solution File: LCL113-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL113-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 20:26:24 EDT 2024
% Result : Unsatisfiable 0.20s 0.39s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 5
% Syntax : Number of formulae : 46 ( 46 unt; 0 def)
% Number of atoms : 46 ( 45 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 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 : 64 ( 64 !; 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(not(x),y),implies(not(y),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(not(x),y),implies(not(y),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(f27,plain,
! [X0] : implies(implies(not(X0),not(truth)),X0) = truth,
inference(paramodulation,[status(thm)],[f6,f9]) ).
fof(f29,plain,
! [X0,X1,X2] : implies(truth,implies(implies(implies(X0,X1),X2),implies(implies(not(X1),not(X0)),X2))) = truth,
inference(paramodulation,[status(thm)],[f9,f7]) ).
fof(f30,plain,
! [X0,X1,X2] : implies(implies(implies(X0,X1),X2),implies(implies(not(X1),not(X0)),X2)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f29]) ).
fof(f37,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),implies(truth,X1))) = truth,
inference(paramodulation,[status(thm)],[f6,f7]) ).
fof(f38,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f37]) ).
fof(f50,plain,
! [X0,X1] : implies(implies(X0,truth),implies(X1,implies(X0,X1))) = truth,
inference(paramodulation,[status(thm)],[f6,f7]) ).
fof(f65,plain,
! [X0] : implies(implies(truth,X0),X0) = truth,
inference(paramodulation,[status(thm)],[f6,f38]) ).
fof(f66,plain,
! [X0] : implies(X0,X0) = truth,
inference(forward_demodulation,[status(thm)],[f6,f65]) ).
fof(f67,plain,
! [X0] : implies(X0,implies(X0,X0)) = truth,
inference(paramodulation,[status(thm)],[f11,f38]) ).
fof(f68,plain,
! [X0] : implies(X0,truth) = truth,
inference(forward_demodulation,[status(thm)],[f66,f67]) ).
fof(f125,plain,
! [X0,X1] : implies(truth,implies(X0,implies(X1,X0))) = truth,
inference(backward_demodulation,[status(thm)],[f68,f50]) ).
fof(f126,plain,
! [X0,X1] : implies(X0,implies(X1,X0)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f125]) ).
fof(f180,plain,
! [X0,X1,X2] : implies(truth,implies(implies(implies(X0,X1),X2),implies(X1,X2))) = truth,
inference(paramodulation,[status(thm)],[f126,f7]) ).
fof(f181,plain,
! [X0,X1,X2] : implies(implies(implies(X0,X1),X2),implies(X1,X2)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f180]) ).
fof(f183,plain,
! [X0,X1] : implies(implies(implies(X0,X1),X1),X1) = implies(truth,implies(X0,X1)),
inference(paramodulation,[status(thm)],[f126,f8]) ).
fof(f184,plain,
! [X0,X1] : implies(implies(implies(X0,X1),X1),X1) = implies(X0,X1),
inference(forward_demodulation,[status(thm)],[f6,f183]) ).
fof(f202,plain,
! [X0,X1] : implies(implies(implies(X0,X1),X1),X0) = implies(X1,X0),
inference(paramodulation,[status(thm)],[f8,f184]) ).
fof(f257,plain,
implies(truth,not(not(truth))) = implies(not(truth),not(not(truth))),
inference(paramodulation,[status(thm)],[f27,f202]) ).
fof(f258,plain,
not(not(truth)) = implies(not(truth),not(not(truth))),
inference(forward_demodulation,[status(thm)],[f6,f257]) ).
fof(f320,plain,
! [X0] : implies(truth,implies(not(truth),X0)) = truth,
inference(paramodulation,[status(thm)],[f27,f181]) ).
fof(f321,plain,
! [X0] : implies(not(truth),X0) = truth,
inference(forward_demodulation,[status(thm)],[f6,f320]) ).
fof(f393,plain,
not(not(truth)) = truth,
inference(backward_demodulation,[status(thm)],[f321,f258]) ).
fof(f522,plain,
! [X0] : implies(truth,implies(implies(not(not(truth)),not(not(X0))),X0)) = truth,
inference(paramodulation,[status(thm)],[f27,f30]) ).
fof(f523,plain,
! [X0] : implies(implies(not(not(truth)),not(not(X0))),X0) = truth,
inference(forward_demodulation,[status(thm)],[f6,f522]) ).
fof(f524,plain,
! [X0] : implies(implies(truth,not(not(X0))),X0) = truth,
inference(forward_demodulation,[status(thm)],[f393,f523]) ).
fof(f525,plain,
! [X0] : implies(not(not(X0)),X0) = truth,
inference(forward_demodulation,[status(thm)],[f6,f524]) ).
fof(f663,plain,
! [X0] : implies(truth,implies(X0,not(not(X0)))) = truth,
inference(paramodulation,[status(thm)],[f525,f9]) ).
fof(f664,plain,
! [X0] : implies(X0,not(not(X0))) = truth,
inference(forward_demodulation,[status(thm)],[f6,f663]) ).
fof(f730,plain,
! [X0] : implies(implies(not(not(X0)),X0),X0) = implies(truth,not(not(X0))),
inference(paramodulation,[status(thm)],[f664,f8]) ).
fof(f731,plain,
! [X0] : implies(truth,X0) = implies(truth,not(not(X0))),
inference(forward_demodulation,[status(thm)],[f525,f730]) ).
fof(f732,plain,
! [X0] : X0 = implies(truth,not(not(X0))),
inference(forward_demodulation,[status(thm)],[f6,f731]) ).
fof(f733,plain,
! [X0] : X0 = not(not(X0)),
inference(forward_demodulation,[status(thm)],[f6,f732]) ).
fof(f755,plain,
! [X0,X1] : implies(implies(not(X0),X1),implies(not(X1),X0)) = truth,
inference(paramodulation,[status(thm)],[f733,f9]) ).
fof(f757,plain,
truth != truth,
inference(backward_demodulation,[status(thm)],[f755,f10]) ).
fof(f758,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f757]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL113-2 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n017.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 19:47:33 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.35 % Drodi V3.6.0
% 0.20/0.39 % Refutation found
% 0.20/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.40 % Elapsed time: 0.053666 seconds
% 0.20/0.40 % CPU time: 0.345302 seconds
% 0.20/0.40 % Total memory used: 18.199 MB
% 0.20/0.40 % Net memory used: 17.704 MB
%------------------------------------------------------------------------------