TSTP Solution File: LCL116-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL116-2 : 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 20:26:25 EDT 2024
% Result : Unsatisfiable 0.20s 0.52s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 5
% Syntax : Number of formulae : 67 ( 67 unt; 0 def)
% Number of atoms : 67 ( 66 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 : 92 ( 92 !; 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(not(a),implies(b,not(implies(b,a)))) != 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(not(a),implies(b,not(implies(b,a)))) != 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(f18,plain,
! [X0,X1] : implies(truth,implies(implies(X0,X1),implies(implies(not(X0),not(truth)),X1))) = truth,
inference(paramodulation,[status(thm)],[f16,f7]) ).
fof(f19,plain,
! [X0,X1] : implies(implies(X0,X1),implies(implies(not(X0),not(truth)),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f18]) ).
fof(f20,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(f21,plain,
! [X0,X1,X2] : implies(implies(implies(X0,X1),X2),implies(implies(not(X1),not(X0)),X2)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f20]) ).
fof(f26,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),implies(truth,X1))) = truth,
inference(paramodulation,[status(thm)],[f6,f7]) ).
fof(f27,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f26]) ).
fof(f31,plain,
! [X0,X1] : implies(implies(X0,implies(not(X1),not(truth))),implies(truth,implies(X0,X1))) = truth,
inference(paramodulation,[status(thm)],[f16,f7]) ).
fof(f32,plain,
! [X0,X1] : implies(implies(X0,implies(not(X1),not(truth))),implies(X0,X1)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f31]) ).
fof(f39,plain,
! [X0,X1] : implies(implies(X0,truth),implies(X1,implies(X0,X1))) = truth,
inference(paramodulation,[status(thm)],[f6,f7]) ).
fof(f116,plain,
implies(implies(implies(not(not(truth)),not(truth)),not(not(truth))),not(not(truth))) = truth,
inference(paramodulation,[status(thm)],[f8,f32]) ).
fof(f120,plain,
! [X0] : implies(truth,implies(implies(not(not(truth)),not(not(X0))),X0)) = truth,
inference(paramodulation,[status(thm)],[f9,f32]) ).
fof(f121,plain,
! [X0] : implies(implies(not(not(truth)),not(not(X0))),X0) = truth,
inference(forward_demodulation,[status(thm)],[f6,f120]) ).
fof(f147,plain,
! [X0] : implies(implies(truth,X0),X0) = truth,
inference(paramodulation,[status(thm)],[f6,f27]) ).
fof(f148,plain,
! [X0] : implies(X0,X0) = truth,
inference(forward_demodulation,[status(thm)],[f6,f147]) ).
fof(f177,plain,
! [X0,X1] : implies(truth,implies(implies(not(X0),not(truth)),implies(implies(X0,X1),X1))) = truth,
inference(paramodulation,[status(thm)],[f27,f19]) ).
fof(f178,plain,
! [X0,X1] : implies(implies(not(X0),not(truth)),implies(implies(X0,X1),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f177]) ).
fof(f209,plain,
! [X0] : truth = implies(implies(X0,truth),truth),
inference(backward_demodulation,[status(thm)],[f148,f11]) ).
fof(f331,plain,
! [X0] : implies(X0,truth) = truth,
inference(paramodulation,[status(thm)],[f209,f27]) ).
fof(f364,plain,
! [X0,X1] : implies(truth,implies(X0,implies(X1,X0))) = truth,
inference(backward_demodulation,[status(thm)],[f331,f39]) ).
fof(f365,plain,
! [X0,X1] : implies(X0,implies(X1,X0)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f364]) ).
fof(f382,plain,
! [X0] : implies(truth,implies(not(truth),X0)) = truth,
inference(paramodulation,[status(thm)],[f365,f32]) ).
fof(f383,plain,
! [X0] : implies(not(truth),X0) = truth,
inference(forward_demodulation,[status(thm)],[f6,f382]) ).
fof(f579,plain,
! [X0] : implies(implies(not(not(truth)),not(truth)),implies(truth,X0)) = truth,
inference(paramodulation,[status(thm)],[f383,f178]) ).
fof(f580,plain,
! [X0] : implies(implies(not(not(truth)),not(truth)),X0) = truth,
inference(forward_demodulation,[status(thm)],[f6,f579]) ).
fof(f594,plain,
! [X0] : implies(implies(X0,not(truth)),not(truth)) = implies(truth,X0),
inference(paramodulation,[status(thm)],[f383,f8]) ).
fof(f595,plain,
! [X0] : implies(implies(X0,not(truth)),not(truth)) = X0,
inference(forward_demodulation,[status(thm)],[f6,f594]) ).
fof(f598,plain,
implies(truth,not(not(truth))) = truth,
inference(backward_demodulation,[status(thm)],[f580,f116]) ).
fof(f599,plain,
not(not(truth)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f598]) ).
fof(f608,plain,
! [X0] : implies(implies(truth,not(not(X0))),X0) = truth,
inference(backward_demodulation,[status(thm)],[f599,f121]) ).
fof(f609,plain,
! [X0] : implies(not(not(X0)),X0) = truth,
inference(forward_demodulation,[status(thm)],[f6,f608]) ).
fof(f650,plain,
! [X0] : implies(truth,implies(X0,not(not(X0)))) = truth,
inference(paramodulation,[status(thm)],[f609,f9]) ).
fof(f651,plain,
! [X0] : implies(X0,not(not(X0))) = truth,
inference(forward_demodulation,[status(thm)],[f6,f650]) ).
fof(f710,plain,
! [X0] : implies(implies(not(not(X0)),X0),X0) = implies(truth,not(not(X0))),
inference(paramodulation,[status(thm)],[f651,f8]) ).
fof(f711,plain,
! [X0] : implies(truth,X0) = implies(truth,not(not(X0))),
inference(forward_demodulation,[status(thm)],[f609,f710]) ).
fof(f712,plain,
! [X0] : X0 = implies(truth,not(not(X0))),
inference(forward_demodulation,[status(thm)],[f6,f711]) ).
fof(f713,plain,
! [X0] : X0 = not(not(X0)),
inference(forward_demodulation,[status(thm)],[f6,f712]) ).
fof(f831,plain,
! [X0] : implies(X0,implies(implies(not(not(truth)),not(X0)),not(truth))) = truth,
inference(paramodulation,[status(thm)],[f595,f21]) ).
fof(f832,plain,
! [X0] : implies(X0,implies(implies(truth,not(X0)),not(truth))) = truth,
inference(forward_demodulation,[status(thm)],[f713,f831]) ).
fof(f833,plain,
! [X0] : implies(X0,implies(not(X0),not(truth))) = truth,
inference(forward_demodulation,[status(thm)],[f6,f832]) ).
fof(f972,plain,
! [X0] : implies(implies(implies(not(X0),not(truth)),X0),X0) = implies(truth,implies(not(X0),not(truth))),
inference(paramodulation,[status(thm)],[f833,f8]) ).
fof(f973,plain,
! [X0] : implies(truth,X0) = implies(truth,implies(not(X0),not(truth))),
inference(forward_demodulation,[status(thm)],[f16,f972]) ).
fof(f974,plain,
! [X0] : X0 = implies(truth,implies(not(X0),not(truth))),
inference(forward_demodulation,[status(thm)],[f6,f973]) ).
fof(f975,plain,
! [X0] : X0 = implies(not(X0),not(truth)),
inference(forward_demodulation,[status(thm)],[f6,f974]) ).
fof(f1035,plain,
! [X0] : not(X0) = implies(X0,not(truth)),
inference(paramodulation,[status(thm)],[f713,f975]) ).
fof(f1166,plain,
! [X0,X1] : implies(implies(X0,X1),implies(implies(X1,not(truth)),not(X0))) = truth,
inference(paramodulation,[status(thm)],[f1035,f7]) ).
fof(f1167,plain,
! [X0,X1] : implies(implies(X0,X1),implies(not(X1),not(X0))) = truth,
inference(forward_demodulation,[status(thm)],[f1035,f1166]) ).
fof(f1247,plain,
! [X0,X1] : implies(implies(implies(not(X0),not(X1)),implies(X1,X0)),implies(X1,X0)) = implies(truth,implies(not(X0),not(X1))),
inference(paramodulation,[status(thm)],[f1167,f8]) ).
fof(f1248,plain,
! [X0,X1] : implies(truth,implies(X0,X1)) = implies(truth,implies(not(X1),not(X0))),
inference(forward_demodulation,[status(thm)],[f9,f1247]) ).
fof(f1249,plain,
! [X0,X1] : implies(X0,X1) = implies(truth,implies(not(X1),not(X0))),
inference(forward_demodulation,[status(thm)],[f6,f1248]) ).
fof(f1250,plain,
! [X0,X1] : implies(X0,X1) = implies(not(X1),not(X0)),
inference(forward_demodulation,[status(thm)],[f6,f1249]) ).
fof(f1310,plain,
! [X0,X1] : implies(X0,not(X1)) = implies(X1,not(X0)),
inference(paramodulation,[status(thm)],[f713,f1250]) ).
fof(f1325,plain,
! [X0,X1] : implies(not(X0),implies(implies(X1,X0),not(X1))) = truth,
inference(paramodulation,[status(thm)],[f1250,f27]) ).
fof(f1326,plain,
! [X0,X1] : implies(not(X0),implies(X1,not(implies(X1,X0)))) = truth,
inference(forward_demodulation,[status(thm)],[f1310,f1325]) ).
fof(f1338,plain,
truth != truth,
inference(backward_demodulation,[status(thm)],[f1326,f10]) ).
fof(f1339,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1338]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL116-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 19:58:33 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 0.20/0.52 % Refutation found
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.53 % Elapsed time: 0.187040 seconds
% 0.20/0.53 % CPU time: 1.403835 seconds
% 0.20/0.53 % Total memory used: 37.455 MB
% 0.20/0.53 % Net memory used: 34.687 MB
%------------------------------------------------------------------------------