TSTP Solution File: LCL376-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL376-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 12:19:07 EDT 2023
% Result : Unsatisfiable 27.76s 3.94s
% Output : CNFRefutation 27.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 7
% Syntax : Number of formulae : 87 ( 40 unt; 0 def)
% Number of atoms : 143 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 114 ( 58 ~; 54 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 187 (; 187 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : is_a_theorem(implies(implies(not(X),X),X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : is_a_theorem(implies(X,implies(not(X),Y))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(x,y),implies(implies(y,implies(z,implies(x,u))),implies(z,implies(x,u))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [Y] :
( ! [X] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X) )
| is_a_theorem(Y) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f8,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f9,plain,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f10,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,plain,
~ is_a_theorem(implies(implies(x,y),implies(implies(y,implies(z,implies(x,u))),implies(z,implies(x,u))))),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(resolution,[status(thm)],[f8,f7]) ).
fof(f13,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
inference(resolution,[status(thm)],[f12,f8]) ).
fof(f15,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
| is_a_theorem(implies(implies(X2,X0),X3)) ),
inference(resolution,[status(thm)],[f13,f7]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))),
inference(resolution,[status(thm)],[f15,f13]) ).
fof(f20,plain,
! [X0,X1,X2,X3] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))),
inference(resolution,[status(thm)],[f15,f8]) ).
fof(f23,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2)))) ),
inference(resolution,[status(thm)],[f18,f7]) ).
fof(f26,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3))) ),
inference(resolution,[status(thm)],[f20,f7]) ).
fof(f32,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X3,X1))
| is_a_theorem(implies(X0,implies(X3,X2))) ),
inference(resolution,[status(thm)],[f23,f7]) ).
fof(f35,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(implies(X0,X2),X3))
| is_a_theorem(implies(implies(X1,X2),X3)) ),
inference(resolution,[status(thm)],[f26,f7]) ).
fof(f40,plain,
! [X0] :
( ~ is_a_theorem(implies(implies(x,y),implies(X0,implies(z,implies(x,u)))))
| ~ is_a_theorem(implies(implies(y,implies(z,implies(x,u))),X0)) ),
inference(resolution,[status(thm)],[f32,f11]) ).
fof(f53,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(resolution,[status(thm)],[f9,f12]) ).
fof(f56,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[status(thm)],[f10,f12]) ).
fof(f57,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[f10,f7]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))) ),
inference(resolution,[status(thm)],[f57,f12]) ).
fof(f70,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(not(X0),X0),X1)) ),
inference(resolution,[status(thm)],[f53,f7]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[status(thm)],[f56,f7]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(implies(X3,X1),X2))) ),
inference(resolution,[status(thm)],[f59,f12]) ).
fof(f78,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X1) ),
inference(resolution,[status(thm)],[f70,f7]) ).
fof(f81,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[f73,f9]) ).
fof(f84,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(X1) ),
inference(resolution,[status(thm)],[f73,f59]) ).
fof(f126,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(y,implies(z,implies(x,u))),X0))
| ~ is_a_theorem(implies(X1,x))
| ~ is_a_theorem(implies(implies(X1,y),implies(X0,implies(z,implies(x,u))))) ),
inference(resolution,[status(thm)],[f40,f35]) ).
fof(f205,plain,
! [X0,X1] : is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(resolution,[status(thm)],[f57,f81]) ).
fof(f216,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))),
inference(resolution,[status(thm)],[f84,f81]) ).
fof(f276,plain,
! [X0,X1] : is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)),
inference(resolution,[status(thm)],[f9,f57]) ).
fof(f284,plain,
! [X0,X1,X2] : is_a_theorem(implies(not(implies(X0,implies(not(X0),X1))),X2)),
inference(resolution,[status(thm)],[f10,f57]) ).
fof(f309,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1))
| is_a_theorem(X1) ),
inference(resolution,[status(thm)],[f78,f276]) ).
fof(f311,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2))
| is_a_theorem(X2) ),
inference(resolution,[status(thm)],[f78,f284]) ).
fof(f312,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(X1) ),
inference(resolution,[status(thm)],[f78,f205]) ).
fof(f471,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[status(thm)],[f12,f7]) ).
fof(f527,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(not(X1),X1))) ),
inference(resolution,[status(thm)],[f309,f12]) ).
fof(f542,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f311,f12]) ).
fof(f650,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(not(X1),X0)) ),
inference(resolution,[status(thm)],[f527,f12]) ).
fof(f658,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[status(thm)],[f527,f216]) ).
fof(f681,plain,
! [X0,X1,X2] : is_a_theorem(implies(not(implies(X0,implies(X1,X1))),X2)),
inference(resolution,[status(thm)],[f658,f57]) ).
fof(f683,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(X2) ),
inference(resolution,[status(thm)],[f681,f78]) ).
fof(f701,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[status(thm)],[f683,f8]) ).
fof(f714,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[status(thm)],[f701,f7]) ).
fof(f732,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(resolution,[status(thm)],[f714,f53]) ).
fof(f879,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(implies(X0,implies(implies(not(X1),X2),X3)))
| is_a_theorem(implies(X0,implies(X1,X3))) ),
inference(resolution,[status(thm)],[f471,f56]) ).
fof(f922,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X0),X0)) ),
inference(resolution,[status(thm)],[f75,f309]) ).
fof(f1062,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[status(thm)],[f922,f73]) ).
fof(f1236,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(not(X1),X2)) ),
inference(resolution,[status(thm)],[f542,f312]) ).
fof(f1281,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(resolution,[status(thm)],[f650,f732]) ).
fof(f1737,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(X2) ),
inference(resolution,[status(thm)],[f1236,f78]) ).
fof(f1851,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(resolution,[status(thm)],[f1281,f15]) ).
fof(f1955,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[f1851,f15]) ).
fof(f2196,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[f1955,f73]) ).
fof(f2198,plain,
( spl0_73
<=> is_a_theorem(implies(implies(y,implies(z,implies(x,u))),implies(y,implies(z,implies(x,u))))) ),
introduced(split_symbol_definition) ).
fof(f2200,plain,
( ~ is_a_theorem(implies(implies(y,implies(z,implies(x,u))),implies(y,implies(z,implies(x,u)))))
| spl0_73 ),
inference(component_clause,[status(thm)],[f2198]) ).
fof(f2201,plain,
( spl0_74
<=> is_a_theorem(implies(not(implies(z,implies(x,u))),x)) ),
introduced(split_symbol_definition) ).
fof(f2203,plain,
( ~ is_a_theorem(implies(not(implies(z,implies(x,u))),x))
| spl0_74 ),
inference(component_clause,[status(thm)],[f2201]) ).
fof(f2204,plain,
( ~ is_a_theorem(implies(implies(y,implies(z,implies(x,u))),implies(y,implies(z,implies(x,u)))))
| ~ is_a_theorem(implies(not(implies(z,implies(x,u))),x)) ),
inference(resolution,[status(thm)],[f1955,f126]) ).
fof(f2205,plain,
( ~ spl0_73
| ~ spl0_74 ),
inference(split_clause,[status(thm)],[f2204,f2198,f2201]) ).
fof(f2217,plain,
( $false
| spl0_73 ),
inference(forward_subsumption_resolution,[status(thm)],[f2200,f81]) ).
fof(f2218,plain,
spl0_73,
inference(contradiction_clause,[status(thm)],[f2217]) ).
fof(f2231,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,implies(implies(X2,X1),X1))) ),
inference(resolution,[status(thm)],[f2196,f471]) ).
fof(f4778,plain,
! [X0,X1] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
inference(resolution,[status(thm)],[f879,f1955]) ).
fof(f4814,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X2)) ),
inference(resolution,[status(thm)],[f879,f2231]) ).
fof(f4815,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[f879,f2196]) ).
fof(f5102,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[status(thm)],[f4815,f1062]) ).
fof(f5231,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))
| is_a_theorem(X2) ),
inference(resolution,[status(thm)],[f5102,f1737]) ).
fof(f5795,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[status(thm)],[f5231,f8]) ).
fof(f6770,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[status(thm)],[f5795,f7]) ).
fof(f6991,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[status(thm)],[f6770,f1955]) ).
fof(f7082,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[status(thm)],[f6991,f879]) ).
fof(f7105,plain,
! [X0] : is_a_theorem(implies(not(not(X0)),X0)),
inference(resolution,[status(thm)],[f7082,f527]) ).
fof(f7107,plain,
! [X0,X1,X2] : is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))),
inference(resolution,[status(thm)],[f7082,f4814]) ).
fof(f7121,plain,
! [X0] : is_a_theorem(implies(implies(X0,not(X0)),not(X0))),
inference(resolution,[status(thm)],[f7105,f650]) ).
fof(f7854,plain,
! [X0] : is_a_theorem(implies(X0,not(not(X0)))),
inference(resolution,[status(thm)],[f7121,f73]) ).
fof(f7953,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,not(not(X1)))) ),
inference(resolution,[status(thm)],[f7854,f471]) ).
fof(f11583,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[status(thm)],[f4778,f7]) ).
fof(f17317,plain,
! [X0,X1] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(implies(not(X1),X0)) ),
inference(resolution,[status(thm)],[f11583,f7953]) ).
fof(f20846,plain,
! [X0,X1,X2] : is_a_theorem(implies(not(implies(X0,implies(X1,X2))),X1)),
inference(resolution,[status(thm)],[f17317,f7107]) ).
fof(f21123,plain,
( $false
| spl0_74 ),
inference(backward_subsumption_resolution,[status(thm)],[f2203,f20846]) ).
fof(f21124,plain,
spl0_74,
inference(contradiction_clause,[status(thm)],[f21123]) ).
fof(f21125,plain,
$false,
inference(sat_refutation,[status(thm)],[f2205,f2218,f21124]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL376-1 : TPTP v8.1.2. Released v2.3.0.
% 0.09/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n012.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 09:37:40 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 27.76/3.94 % Refutation found
% 27.76/3.94 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 27.76/3.94 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 28.43/4.03 % Elapsed time: 3.704225 seconds
% 28.43/4.03 % CPU time: 28.458987 seconds
% 28.43/4.03 % Memory used: 310.445 MB
%------------------------------------------------------------------------------