TSTP Solution File: LCL109-10 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL109-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:18:16 EDT 2023
% Result : Unsatisfiable 55.73s 7.41s
% Output : CNFRefutation 56.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 10
% Syntax : Number of formulae : 61 ( 61 unt; 0 def)
% Number of atoms : 61 ( 60 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 : 12 ( 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 : 104 (; 104 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] : implies(truth,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : implies(implies(X,Y),Y) = implies(implies(Y,X),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : implies(implies(not(X),not(Y)),implies(Y,X)) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] : implies(X,truth) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y,Z] : implies(X,implies(Y,Z)) = implies(Y,implies(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X] : implies(X,not(truth)) = not(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : not(not(X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y] : implies(not(X),not(Y)) = implies(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
implies(implies(implies(a,b),implies(b,a)),implies(b,a)) != truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0] : implies(truth,X0) = X0,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f19,plain,
! [X0,X1,X2] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f20,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f21,plain,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f24,plain,
! [X0] : implies(X0,truth) = truth,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f28,plain,
! [X0,X1,X2] : implies(X0,implies(X1,X2)) = implies(X1,implies(X0,X2)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f29,plain,
! [X0] : implies(X0,not(truth)) = not(X0),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f30,plain,
! [X0] : not(not(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f31,plain,
! [X0,X1] : implies(not(X0),not(X1)) = implies(X1,X0),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f32,plain,
implies(implies(implies(a,b),implies(b,a)),implies(b,a)) != truth,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f33,plain,
implies(b,implies(implies(implies(a,b),implies(b,a)),a)) != truth,
inference(forward_demodulation,[status(thm)],[f28,f32]) ).
fof(f34,plain,
implies(b,implies(implies(b,implies(implies(a,b),a)),a)) != truth,
inference(forward_demodulation,[status(thm)],[f28,f33]) ).
fof(f35,plain,
! [X0,X1] : implies(implies(X0,X1),implies(X0,X1)) = truth,
inference(backward_demodulation,[status(thm)],[f31,f21]) ).
fof(f36,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f28,f35]) ).
fof(f119,plain,
! [X0,X1,X2,X3] : implies(X0,implies(X1,implies(X2,X3))) = implies(X2,implies(X0,implies(X1,X3))),
inference(paramodulation,[status(thm)],[f28,f28]) ).
fof(f217,plain,
! [X0] : implies(implies(not(truth),X0),X0) = not(implies(X0,not(truth))),
inference(paramodulation,[status(thm)],[f20,f29]) ).
fof(f218,plain,
! [X0] : implies(implies(not(truth),X0),X0) = not(not(X0)),
inference(forward_demodulation,[status(thm)],[f29,f217]) ).
fof(f219,plain,
! [X0] : implies(implies(not(truth),X0),X0) = X0,
inference(forward_demodulation,[status(thm)],[f30,f218]) ).
fof(f232,plain,
! [X0,X1] : implies(X0,implies(X1,not(truth))) = implies(X1,not(X0)),
inference(paramodulation,[status(thm)],[f29,f28]) ).
fof(f233,plain,
! [X0,X1] : implies(X0,not(X1)) = implies(X1,not(X0)),
inference(forward_demodulation,[status(thm)],[f29,f232]) ).
fof(f250,plain,
! [X0,X1] : implies(not(X0),implies(implies(not(truth),X1),implies(X0,X1))) = truth,
inference(paramodulation,[status(thm)],[f29,f19]) ).
fof(f251,plain,
! [X0,X1] : implies(X0,implies(not(X0),implies(implies(not(truth),X1),X1))) = truth,
inference(forward_demodulation,[status(thm)],[f119,f250]) ).
fof(f252,plain,
! [X0,X1] : implies(X0,implies(not(X0),X1)) = truth,
inference(forward_demodulation,[status(thm)],[f219,f251]) ).
fof(f434,plain,
! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
inference(paramodulation,[status(thm)],[f30,f31]) ).
fof(f447,plain,
! [X0,X1] : implies(implies(not(X0),not(X1)),not(X1)) = implies(implies(X0,X1),not(X0)),
inference(paramodulation,[status(thm)],[f31,f20]) ).
fof(f448,plain,
! [X0,X1] : implies(X0,not(implies(not(X1),not(X0)))) = implies(implies(X1,X0),not(X1)),
inference(forward_demodulation,[status(thm)],[f233,f447]) ).
fof(f449,plain,
! [X0,X1] : implies(X0,not(implies(X0,X1))) = implies(implies(X1,X0),not(X1)),
inference(forward_demodulation,[status(thm)],[f31,f448]) ).
fof(f450,plain,
! [X0,X1] : implies(X0,not(implies(X0,X1))) = implies(X1,not(implies(X1,X0))),
inference(forward_demodulation,[status(thm)],[f233,f449]) ).
fof(f601,plain,
! [X0,X1] : implies(implies(not(implies(X0,X1)),X0),X0) = implies(implies(X1,not(implies(X1,X0))),not(implies(X0,X1))),
inference(paramodulation,[status(thm)],[f450,f20]) ).
fof(f602,plain,
! [X0,X1] : implies(implies(not(X0),implies(X0,X1)),X0) = implies(implies(X1,not(implies(X1,X0))),not(implies(X0,X1))),
inference(forward_demodulation,[status(thm)],[f434,f601]) ).
fof(f603,plain,
! [X0,X1] : implies(implies(X0,implies(not(X0),X1)),X0) = implies(implies(X1,not(implies(X1,X0))),not(implies(X0,X1))),
inference(forward_demodulation,[status(thm)],[f28,f602]) ).
fof(f604,plain,
! [X0,X1] : implies(truth,X0) = implies(implies(X1,not(implies(X1,X0))),not(implies(X0,X1))),
inference(forward_demodulation,[status(thm)],[f252,f603]) ).
fof(f605,plain,
! [X0,X1] : X0 = implies(implies(X1,not(implies(X1,X0))),not(implies(X0,X1))),
inference(forward_demodulation,[status(thm)],[f18,f604]) ).
fof(f606,plain,
! [X0,X1] : X0 = implies(implies(X0,X1),not(implies(X1,not(implies(X1,X0))))),
inference(forward_demodulation,[status(thm)],[f233,f605]) ).
fof(f801,plain,
! [X0,X1] : implies(X0,X1) = implies(X0,not(implies(not(implies(X1,not(implies(X1,X0)))),not(implies(not(implies(X1,not(implies(X1,X0)))),implies(X0,X1)))))),
inference(paramodulation,[status(thm)],[f606,f606]) ).
fof(f802,plain,
! [X0,X1] : implies(X0,X1) = implies(X0,not(implies(implies(not(implies(X1,not(implies(X1,X0)))),implies(X0,X1)),implies(X1,not(implies(X1,X0)))))),
inference(forward_demodulation,[status(thm)],[f31,f801]) ).
fof(f803,plain,
! [X0,X1] : implies(X0,X1) = implies(X0,not(implies(X1,implies(implies(not(implies(X1,not(implies(X1,X0)))),implies(X0,X1)),not(implies(X1,X0)))))),
inference(forward_demodulation,[status(thm)],[f28,f802]) ).
fof(f804,plain,
! [X0,X1] : implies(X0,X1) = implies(X0,not(implies(X1,implies(implies(X1,X0),not(implies(not(implies(X1,not(implies(X1,X0)))),implies(X0,X1))))))),
inference(forward_demodulation,[status(thm)],[f233,f803]) ).
fof(f805,plain,
! [X0,X1] : implies(X0,X1) = implies(X0,not(implies(X1,implies(implies(X1,X0),not(implies(X0,implies(not(implies(X1,not(implies(X1,X0)))),X1))))))),
inference(forward_demodulation,[status(thm)],[f28,f804]) ).
fof(f806,plain,
! [X0,X1] : implies(X0,X1) = implies(X0,not(implies(X1,implies(implies(X1,X0),not(implies(X0,implies(not(X1),implies(X1,not(implies(X1,X0)))))))))),
inference(forward_demodulation,[status(thm)],[f434,f805]) ).
fof(f807,plain,
! [X0,X1] : implies(X0,X1) = implies(X0,not(implies(X1,implies(implies(X1,X0),not(implies(X0,implies(X1,implies(not(X1),not(implies(X1,X0)))))))))),
inference(forward_demodulation,[status(thm)],[f28,f806]) ).
fof(f808,plain,
! [X0,X1] : implies(X0,X1) = implies(X0,not(implies(X1,implies(implies(X1,X0),not(implies(X0,truth)))))),
inference(forward_demodulation,[status(thm)],[f252,f807]) ).
fof(f809,plain,
! [X0,X1] : implies(X0,X1) = implies(X0,not(implies(X1,implies(implies(X1,X0),not(truth))))),
inference(forward_demodulation,[status(thm)],[f24,f808]) ).
fof(f810,plain,
! [X0,X1] : implies(X0,X1) = implies(X0,not(implies(X1,not(implies(X1,X0))))),
inference(forward_demodulation,[status(thm)],[f29,f809]) ).
fof(f988,plain,
! [X0,X1,X2] : implies(implies(X0,X1),implies(X2,not(implies(X1,not(implies(X1,X0)))))) = implies(X2,X0),
inference(paramodulation,[status(thm)],[f606,f28]) ).
fof(f1028,plain,
! [X0,X1] : implies(X0,X1) = implies(X0,not(implies(X0,not(implies(X0,X1))))),
inference(paramodulation,[status(thm)],[f450,f810]) ).
fof(f33640,plain,
! [X0,X1] : implies(implies(X0,X1),implies(X1,X0)) = implies(X1,X0),
inference(paramodulation,[status(thm)],[f1028,f988]) ).
fof(f33641,plain,
! [X0,X1] : implies(X0,implies(implies(X1,X0),X1)) = implies(X0,X1),
inference(forward_demodulation,[status(thm)],[f28,f33640]) ).
fof(f34365,plain,
implies(b,implies(implies(b,a),a)) != truth,
inference(backward_demodulation,[status(thm)],[f33641,f34]) ).
fof(f34366,plain,
truth != truth,
inference(forward_demodulation,[status(thm)],[f36,f34365]) ).
fof(f34367,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f34366]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL109-10 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n016.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 : Tue May 30 10:09:59 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 55.73/7.41 % Refutation found
% 55.73/7.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 55.73/7.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 56.90/7.56 % Elapsed time: 7.207971 seconds
% 56.90/7.56 % CPU time: 56.755257 seconds
% 56.90/7.56 % Memory used: 535.182 MB
%------------------------------------------------------------------------------