TSTP Solution File: LCL109-2 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL109-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 12:18:17 EDT 2023
% Result : Unsatisfiable 156.95s 20.27s
% Output : CNFRefutation 159.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 5
% Syntax : Number of formulae : 100 ( 100 unt; 0 def)
% Number of atoms : 100 ( 99 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 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 : 182 (; 182 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : implies(truth,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))) = truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : implies(implies(X,Y),Y) = implies(implies(Y,X),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : implies(implies(not(X),not(Y)),implies(Y,X)) = truth,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
implies(implies(implies(a,b),implies(b,a)),implies(b,a)) != truth,
file('/export/starexec/sandbox2/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(implies(a,b),implies(b,a)),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(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(f33,plain,
! [X0,X1,X2,X3] : implies(truth,implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))) = truth,
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f34,plain,
! [X0,X1,X2,X3] : implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f33]) ).
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(f61,plain,
! [X0,X1,X2] : implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X2,X0)),implies(X2,X0)) = implies(truth,implies(implies(X0,X1),implies(X2,X1))),
inference(paramodulation,[status(thm)],[f7,f8]) ).
fof(f62,plain,
! [X0,X1,X2] : implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X2,X0)),implies(X2,X0)) = implies(implies(X0,X1),implies(X2,X1)),
inference(forward_demodulation,[status(thm)],[f6,f61]) ).
fof(f93,plain,
! [X0] : implies(implies(truth,X0),X0) = truth,
inference(paramodulation,[status(thm)],[f6,f38]) ).
fof(f94,plain,
! [X0] : implies(X0,X0) = truth,
inference(forward_demodulation,[status(thm)],[f6,f93]) ).
fof(f95,plain,
! [X0] : implies(X0,implies(X0,X0)) = truth,
inference(paramodulation,[status(thm)],[f11,f38]) ).
fof(f96,plain,
! [X0] : implies(X0,truth) = truth,
inference(forward_demodulation,[status(thm)],[f94,f95]) ).
fof(f161,plain,
! [X0,X1] : implies(truth,implies(X0,implies(X1,X0))) = truth,
inference(backward_demodulation,[status(thm)],[f96,f50]) ).
fof(f162,plain,
! [X0,X1] : implies(X0,implies(X1,X0)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f161]) ).
fof(f280,plain,
! [X0,X1,X2] : implies(truth,implies(implies(implies(X0,X1),X2),implies(X1,X2))) = truth,
inference(paramodulation,[status(thm)],[f162,f7]) ).
fof(f281,plain,
! [X0,X1,X2] : implies(implies(implies(X0,X1),X2),implies(X1,X2)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f280]) ).
fof(f283,plain,
! [X0,X1] : implies(implies(implies(X0,X1),X1),X1) = implies(truth,implies(X0,X1)),
inference(paramodulation,[status(thm)],[f162,f8]) ).
fof(f284,plain,
! [X0,X1] : implies(implies(implies(X0,X1),X1),X1) = implies(X0,X1),
inference(forward_demodulation,[status(thm)],[f6,f283]) ).
fof(f308,plain,
! [X0,X1] : implies(implies(implies(X0,X1),X1),X0) = implies(X1,X0),
inference(paramodulation,[status(thm)],[f8,f284]) ).
fof(f362,plain,
implies(truth,not(not(truth))) = implies(not(truth),not(not(truth))),
inference(paramodulation,[status(thm)],[f27,f308]) ).
fof(f363,plain,
not(not(truth)) = implies(not(truth),not(not(truth))),
inference(forward_demodulation,[status(thm)],[f6,f362]) ).
fof(f493,plain,
! [X0] : implies(truth,implies(implies(not(not(truth)),not(not(X0))),X0)) = truth,
inference(paramodulation,[status(thm)],[f27,f30]) ).
fof(f494,plain,
! [X0] : implies(implies(not(not(truth)),not(not(X0))),X0) = truth,
inference(forward_demodulation,[status(thm)],[f6,f493]) ).
fof(f893,plain,
! [X0] : implies(truth,implies(not(truth),X0)) = truth,
inference(paramodulation,[status(thm)],[f27,f281]) ).
fof(f894,plain,
! [X0] : implies(not(truth),X0) = truth,
inference(forward_demodulation,[status(thm)],[f6,f893]) ).
fof(f897,plain,
! [X0,X1] : implies(truth,implies(not(X0),implies(X0,X1))) = truth,
inference(paramodulation,[status(thm)],[f9,f281]) ).
fof(f898,plain,
! [X0,X1] : implies(not(X0),implies(X0,X1)) = truth,
inference(forward_demodulation,[status(thm)],[f6,f897]) ).
fof(f1010,plain,
not(not(truth)) = truth,
inference(backward_demodulation,[status(thm)],[f894,f363]) ).
fof(f1011,plain,
! [X0] : implies(implies(truth,not(not(X0))),X0) = truth,
inference(backward_demodulation,[status(thm)],[f1010,f494]) ).
fof(f1012,plain,
! [X0] : implies(not(not(X0)),X0) = truth,
inference(forward_demodulation,[status(thm)],[f6,f1011]) ).
fof(f1020,plain,
! [X0] : implies(truth,implies(X0,not(not(X0)))) = truth,
inference(paramodulation,[status(thm)],[f1012,f9]) ).
fof(f1021,plain,
! [X0] : implies(X0,not(not(X0))) = truth,
inference(forward_demodulation,[status(thm)],[f6,f1020]) ).
fof(f1063,plain,
! [X0,X1,X2,X3] : implies(truth,implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))) = truth,
inference(paramodulation,[status(thm)],[f34,f34]) ).
fof(f1064,plain,
! [X0,X1,X2,X3] : implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2)))) = truth,
inference(forward_demodulation,[status(thm)],[f6,f1063]) ).
fof(f1367,plain,
! [X0] : implies(implies(not(not(X0)),X0),X0) = implies(truth,not(not(X0))),
inference(paramodulation,[status(thm)],[f1021,f8]) ).
fof(f1368,plain,
! [X0] : implies(truth,X0) = implies(truth,not(not(X0))),
inference(forward_demodulation,[status(thm)],[f1012,f1367]) ).
fof(f1369,plain,
! [X0] : X0 = implies(truth,not(not(X0))),
inference(forward_demodulation,[status(thm)],[f6,f1368]) ).
fof(f1370,plain,
! [X0] : X0 = not(not(X0)),
inference(forward_demodulation,[status(thm)],[f6,f1369]) ).
fof(f1416,plain,
! [X0] : implies(implies(X0,not(truth)),not(X0)) = truth,
inference(paramodulation,[status(thm)],[f1370,f27]) ).
fof(f1682,plain,
! [X0] : implies(implies(X0,not(truth)),not(truth)) = implies(truth,X0),
inference(paramodulation,[status(thm)],[f894,f8]) ).
fof(f1683,plain,
! [X0] : implies(implies(X0,not(truth)),not(truth)) = X0,
inference(forward_demodulation,[status(thm)],[f6,f1682]) ).
fof(f3455,plain,
! [X0,X1] : implies(implies(implies(X0,not(truth)),X1),implies(implies(X1,not(truth)),X0)) = truth,
inference(paramodulation,[status(thm)],[f1683,f7]) ).
fof(f3456,plain,
! [X0,X1] : implies(implies(X0,implies(X1,not(truth))),implies(X1,implies(X0,not(truth)))) = truth,
inference(paramodulation,[status(thm)],[f1683,f7]) ).
fof(f13215,plain,
! [X0,X1,X2] : implies(implies(implies(truth,implies(X0,implies(X1,X2))),implies(X0,not(X1))),implies(X0,not(X1))) = implies(implies(not(X1),implies(X1,X2)),implies(X0,implies(X1,X2))),
inference(paramodulation,[status(thm)],[f898,f62]) ).
fof(f13216,plain,
! [X0,X1,X2] : implies(implies(implies(X0,implies(X1,X2)),implies(X0,not(X1))),implies(X0,not(X1))) = implies(implies(not(X1),implies(X1,X2)),implies(X0,implies(X1,X2))),
inference(forward_demodulation,[status(thm)],[f6,f13215]) ).
fof(f13217,plain,
! [X0,X1,X2] : implies(implies(implies(X0,implies(X1,X2)),implies(X0,not(X1))),implies(X0,not(X1))) = implies(truth,implies(X0,implies(X1,X2))),
inference(forward_demodulation,[status(thm)],[f898,f13216]) ).
fof(f13218,plain,
! [X0,X1,X2] : implies(implies(implies(X0,implies(X1,X2)),implies(X0,not(X1))),implies(X0,not(X1))) = implies(X0,implies(X1,X2)),
inference(forward_demodulation,[status(thm)],[f6,f13217]) ).
fof(f13289,plain,
! [X0,X1] : implies(implies(implies(X0,implies(X1,not(truth))),implies(X1,implies(X0,not(truth)))),implies(X1,implies(X0,not(truth)))) = implies(implies(implies(X0,not(truth)),not(truth)),implies(X1,not(truth))),
inference(paramodulation,[status(thm)],[f1683,f62]) ).
fof(f13290,plain,
! [X0,X1] : implies(truth,implies(X0,implies(X1,not(truth)))) = implies(implies(implies(X1,not(truth)),not(truth)),implies(X0,not(truth))),
inference(forward_demodulation,[status(thm)],[f3456,f13289]) ).
fof(f13291,plain,
! [X0,X1] : implies(X0,implies(X1,not(truth))) = implies(implies(implies(X1,not(truth)),not(truth)),implies(X0,not(truth))),
inference(forward_demodulation,[status(thm)],[f6,f13290]) ).
fof(f13292,plain,
! [X0,X1] : implies(X0,implies(X1,not(truth))) = implies(X1,implies(X0,not(truth))),
inference(forward_demodulation,[status(thm)],[f1683,f13291]) ).
fof(f13293,plain,
! [X0,X1] : implies(implies(implies(truth,implies(X0,not(X1))),implies(X0,implies(X1,not(truth)))),implies(X0,implies(X1,not(truth)))) = implies(implies(implies(X1,not(truth)),not(X1)),implies(X0,not(X1))),
inference(paramodulation,[status(thm)],[f1416,f62]) ).
fof(f13294,plain,
! [X0,X1] : implies(implies(implies(X0,not(X1)),implies(X0,implies(X1,not(truth)))),implies(X0,implies(X1,not(truth)))) = implies(implies(implies(X1,not(truth)),not(X1)),implies(X0,not(X1))),
inference(forward_demodulation,[status(thm)],[f6,f13293]) ).
fof(f13295,plain,
! [X0,X1] : implies(implies(implies(X0,implies(X1,not(truth))),implies(X0,not(X1))),implies(X0,not(X1))) = implies(implies(implies(X1,not(truth)),not(X1)),implies(X0,not(X1))),
inference(forward_demodulation,[status(thm)],[f8,f13294]) ).
fof(f13296,plain,
! [X0,X1] : implies(X0,implies(X1,not(truth))) = implies(implies(implies(X1,not(truth)),not(X1)),implies(X0,not(X1))),
inference(forward_demodulation,[status(thm)],[f13218,f13295]) ).
fof(f13297,plain,
! [X0,X1] : implies(X0,implies(X1,not(truth))) = implies(truth,implies(X0,not(X1))),
inference(forward_demodulation,[status(thm)],[f1416,f13296]) ).
fof(f13298,plain,
! [X0,X1] : implies(X0,implies(X1,not(truth))) = implies(X0,not(X1)),
inference(forward_demodulation,[status(thm)],[f6,f13297]) ).
fof(f13542,plain,
! [X0,X1] : implies(implies(implies(implies(X0,not(truth)),X1),implies(implies(X1,not(truth)),X0)),implies(implies(X1,not(truth)),X0)) = implies(implies(X0,not(truth)),implies(implies(X1,not(truth)),not(truth))),
inference(paramodulation,[status(thm)],[f1683,f62]) ).
fof(f13543,plain,
! [X0,X1] : implies(truth,implies(implies(X0,not(truth)),X1)) = implies(implies(X1,not(truth)),implies(implies(X0,not(truth)),not(truth))),
inference(forward_demodulation,[status(thm)],[f3455,f13542]) ).
fof(f13544,plain,
! [X0,X1] : implies(implies(X0,not(truth)),X1) = implies(implies(X1,not(truth)),implies(implies(X0,not(truth)),not(truth))),
inference(forward_demodulation,[status(thm)],[f6,f13543]) ).
fof(f13545,plain,
! [X0,X1] : implies(implies(X0,not(truth)),X1) = implies(implies(X1,not(truth)),not(implies(X0,not(truth)))),
inference(forward_demodulation,[status(thm)],[f13298,f13544]) ).
fof(f14188,plain,
! [X0,X1] : implies(X0,implies(X1,not(truth))) = implies(X1,not(X0)),
inference(backward_demodulation,[status(thm)],[f13298,f13292]) ).
fof(f14189,plain,
! [X0,X1] : implies(X0,not(X1)) = implies(X1,not(X0)),
inference(forward_demodulation,[status(thm)],[f13298,f14188]) ).
fof(f24443,plain,
! [X0] : X0 = implies(truth,not(implies(X0,not(truth)))),
inference(paramodulation,[status(thm)],[f1683,f14189]) ).
fof(f24444,plain,
! [X0] : X0 = not(implies(X0,not(truth))),
inference(forward_demodulation,[status(thm)],[f6,f24443]) ).
fof(f24448,plain,
! [X0] : not(X0) = implies(X0,not(truth)),
inference(paramodulation,[status(thm)],[f6,f14189]) ).
fof(f24451,plain,
! [X0,X1] : implies(X0,X1) = implies(not(X1),not(X0)),
inference(paramodulation,[status(thm)],[f1370,f14189]) ).
fof(f24565,plain,
! [X0,X1] : implies(X0,implies(X1,not(implies(X0,not(X1))))) = truth,
inference(paramodulation,[status(thm)],[f14189,f38]) ).
fof(f24751,plain,
! [X0,X1] : implies(X0,implies(implies(X1,not(X0)),not(X1))) = truth,
inference(paramodulation,[status(thm)],[f14189,f38]) ).
fof(f24752,plain,
! [X0,X1] : implies(X0,implies(X1,not(implies(X1,not(X0))))) = truth,
inference(forward_demodulation,[status(thm)],[f14189,f24751]) ).
fof(f25078,plain,
! [X0,X1] : implies(implies(X0,not(truth)),X1) = implies(implies(X1,not(truth)),X0),
inference(backward_demodulation,[status(thm)],[f24444,f13545]) ).
fof(f25079,plain,
! [X0,X1] : implies(not(X0),X1) = implies(implies(X1,not(truth)),X0),
inference(forward_demodulation,[status(thm)],[f24448,f25078]) ).
fof(f25080,plain,
! [X0,X1] : implies(not(X0),X1) = implies(not(X1),X0),
inference(forward_demodulation,[status(thm)],[f24448,f25079]) ).
fof(f26646,plain,
! [X0,X1,X2] : implies(truth,implies(implies(X0,X1),implies(X2,implies(X0,not(implies(X2,not(X1))))))) = truth,
inference(paramodulation,[status(thm)],[f24565,f1064]) ).
fof(f26647,plain,
! [X0,X1,X2] : implies(implies(X0,X1),implies(X2,implies(X0,not(implies(X2,not(X1)))))) = truth,
inference(forward_demodulation,[status(thm)],[f6,f26646]) ).
fof(f27780,plain,
! [X0,X1] : implies(not(X0),implies(X1,not(implies(X1,X0)))) = truth,
inference(paramodulation,[status(thm)],[f1370,f24752]) ).
fof(f56977,plain,
! [X0,X1] : implies(implies(implies(X0,X1),not(X0)),not(X1)) = implies(not(X0),not(X1)),
inference(paramodulation,[status(thm)],[f24451,f308]) ).
fof(f56978,plain,
! [X0,X1] : implies(X0,not(implies(implies(X1,X0),not(X1)))) = implies(not(X1),not(X0)),
inference(forward_demodulation,[status(thm)],[f14189,f56977]) ).
fof(f56979,plain,
! [X0,X1] : implies(X0,not(implies(X1,not(implies(X1,X0))))) = implies(not(X1),not(X0)),
inference(forward_demodulation,[status(thm)],[f14189,f56978]) ).
fof(f56980,plain,
! [X0,X1] : implies(X0,not(implies(X1,not(implies(X1,X0))))) = implies(X0,X1),
inference(forward_demodulation,[status(thm)],[f24451,f56979]) ).
fof(f57577,plain,
! [X0,X1] : implies(implies(not(implies(X0,not(implies(X0,X1)))),X1),X1) = implies(implies(X1,X0),not(implies(X0,not(implies(X0,X1))))),
inference(paramodulation,[status(thm)],[f56980,f8]) ).
fof(f57578,plain,
! [X0,X1] : implies(implies(not(X0),implies(X1,not(implies(X1,X0)))),X0) = implies(implies(X0,X1),not(implies(X1,not(implies(X1,X0))))),
inference(forward_demodulation,[status(thm)],[f25080,f57577]) ).
fof(f57579,plain,
! [X0,X1] : implies(truth,X0) = implies(implies(X0,X1),not(implies(X1,not(implies(X1,X0))))),
inference(forward_demodulation,[status(thm)],[f27780,f57578]) ).
fof(f57580,plain,
! [X0,X1] : X0 = implies(implies(X0,X1),not(implies(X1,not(implies(X1,X0))))),
inference(forward_demodulation,[status(thm)],[f6,f57579]) ).
fof(f101382,plain,
! [X0,X1] : implies(implies(implies(X0,X1),implies(X1,X0)),implies(X1,X0)) = truth,
inference(paramodulation,[status(thm)],[f57580,f26647]) ).
fof(f102089,plain,
truth != truth,
inference(backward_demodulation,[status(thm)],[f101382,f10]) ).
fof(f102090,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f102089]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL109-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n006.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 09:35:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 156.95/20.27 % Refutation found
% 156.95/20.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 156.95/20.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 159.86/20.64 % Elapsed time: 20.272109 seconds
% 159.86/20.64 % CPU time: 158.998864 seconds
% 159.86/20.64 % Memory used: 1.676 GB
%------------------------------------------------------------------------------