TSTP Solution File: LCL068-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL068-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 12:18:09 EDT 2023
% Result : Unsatisfiable 42.93s 5.83s
% Output : CNFRefutation 43.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 7
% Syntax : Number of formulae : 66 ( 24 unt; 0 def)
% Number of atoms : 121 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 110 ( 55 ~; 53 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 127 (; 127 !; 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(implies(X,Y),Z),implies(Y,Z))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(implies(X,Y),Z),implies(not(X),Z))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Z,Y] : is_a_theorem(implies(implies(not(X),Z),implies(implies(Y,Z),implies(implies(X,Y),Z)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(not(a),a),a)),
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(implies(X0,X1),X2),implies(X1,X2))),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f9,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f10,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X2,X1),implies(implies(X0,X2),X1)))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,plain,
~ is_a_theorem(implies(implies(not(a),a),a)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[status(thm)],[f8,f7]) ).
fof(f13,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[f12,f8]) ).
fof(f14,plain,
! [X0,X1,X2] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[status(thm)],[f13,f12]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(not(X0),X2)) ),
inference(resolution,[status(thm)],[f9,f7]) ).
fof(f56,plain,
! [X0,X1,X2] : is_a_theorem(implies(not(implies(X0,X1)),implies(not(X0),X2))),
inference(resolution,[status(thm)],[f17,f9]) ).
fof(f57,plain,
! [X0,X1,X2] : is_a_theorem(implies(not(implies(X0,X1)),implies(X1,X2))),
inference(resolution,[status(thm)],[f17,f8]) ).
fof(f108,plain,
! [X0,X1,X2] : is_a_theorem(implies(not(not(X0)),implies(implies(X1,X2),implies(implies(X0,X1),X2)))),
inference(resolution,[status(thm)],[f10,f17]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(not(X0),X1))
| is_a_theorem(implies(implies(X2,X1),implies(implies(X0,X2),X1))) ),
inference(resolution,[status(thm)],[f10,f7]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(implies(X2,X1))
| is_a_theorem(implies(implies(X0,X2),X1)) ),
inference(resolution,[status(thm)],[f110,f7]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(not(not(X0)))
| is_a_theorem(implies(implies(X1,X2),implies(implies(X0,X1),X2))) ),
inference(resolution,[status(thm)],[f108,f7]) ).
fof(f247,plain,
( spl0_17
<=> is_a_theorem(implies(a,a)) ),
introduced(split_symbol_definition) ).
fof(f249,plain,
( ~ is_a_theorem(implies(a,a))
| spl0_17 ),
inference(component_clause,[status(thm)],[f247]) ).
fof(f258,plain,
( spl0_19
<=> is_a_theorem(implies(not(not(a)),a)) ),
introduced(split_symbol_definition) ).
fof(f260,plain,
( ~ is_a_theorem(implies(not(not(a)),a))
| spl0_19 ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f269,plain,
( ~ is_a_theorem(implies(not(not(a)),a))
| ~ is_a_theorem(implies(a,a)) ),
inference(resolution,[status(thm)],[f113,f11]) ).
fof(f270,plain,
( ~ spl0_19
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f269,f258,f247]) ).
fof(f271,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X2))
| is_a_theorem(X1) ),
inference(resolution,[status(thm)],[f113,f7]) ).
fof(f274,plain,
! [X0,X1,X2,X3] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(implies(X3,X1),X0))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[status(thm)],[f271,f57]) ).
fof(f287,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,implies(X1,not(X2))))
| ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X1,not(X2))) ),
inference(resolution,[status(thm)],[f271,f13]) ).
fof(f294,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(X0,X1),implies(X1,X2)))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[status(thm)],[f274,f8]) ).
fof(f309,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[f294,f8]) ).
fof(f325,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[status(thm)],[f309,f17]) ).
fof(f327,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X1,X0))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[status(thm)],[f325,f271]) ).
fof(f381,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(X0,implies(X2,X1))) ),
inference(resolution,[status(thm)],[f327,f14]) ).
fof(f382,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f327,f309]) ).
fof(f392,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(resolution,[status(thm)],[f381,f7]) ).
fof(f394,plain,
! [X0] :
( is_a_theorem(implies(implies(X0,X0),X0))
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(resolution,[status(thm)],[f382,f110]) ).
fof(f449,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X0))
| ~ is_a_theorem(implies(X0,X0))
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[status(thm)],[f394,f392]) ).
fof(f450,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(implies(X1,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f449,f309]) ).
fof(f451,plain,
! [X0] :
( ~ is_a_theorem(implies(not(X0),X0))
| ~ is_a_theorem(implies(X0,X0))
| is_a_theorem(X0) ),
inference(resolution,[status(thm)],[f394,f7]) ).
fof(f452,plain,
! [X0] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f451,f309]) ).
fof(f680,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(not(implies(X0,X1)),X1)) ),
inference(resolution,[status(thm)],[f452,f381]) ).
fof(f681,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[status(thm)],[f450,f57]) ).
fof(f700,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(X0,X0),implies(X1,X2)))
| is_a_theorem(implies(X1,X2)) ),
inference(resolution,[status(thm)],[f681,f274]) ).
fof(f718,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(resolution,[status(thm)],[f680,f56]) ).
fof(f733,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[f718,f327]) ).
fof(f884,plain,
! [X0,X1] : is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(resolution,[status(thm)],[f733,f57]) ).
fof(f909,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(X0,not(implies(X1,X1))))
| is_a_theorem(implies(X0,X2)) ),
inference(resolution,[status(thm)],[f884,f327]) ).
fof(f1248,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(not(X1),not(X0))) ),
inference(resolution,[status(thm)],[f287,f718]) ).
fof(f1860,plain,
( $false
| spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f249,f309]) ).
fof(f1861,plain,
spl0_17,
inference(contradiction_clause,[status(thm)],[f1860]) ).
fof(f1883,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,not(X0)))
| is_a_theorem(not(X0)) ),
inference(resolution,[status(thm)],[f1248,f452]) ).
fof(f1886,plain,
! [X0] :
( is_a_theorem(not(not(X0)))
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(resolution,[status(thm)],[f1883,f1248]) ).
fof(f3201,plain,
! [X0,X1,X2] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(implies(implies(X2,X2),X0)) ),
inference(resolution,[status(thm)],[f909,f1248]) ).
fof(f4389,plain,
! [X0,X1,X2] : is_a_theorem(implies(not(implies(X0,implies(X1,X0))),X2)),
inference(resolution,[status(thm)],[f3201,f8]) ).
fof(f4435,plain,
! [X0,X1] : is_a_theorem(not(not(implies(X0,implies(X1,X0))))),
inference(resolution,[status(thm)],[f4389,f1886]) ).
fof(f7239,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(not(not(X0))) ),
inference(resolution,[status(thm)],[f700,f131]) ).
fof(f7241,plain,
! [X0,X1] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[f700,f110]) ).
fof(f7403,plain,
! [X0,X1] :
( ~ is_a_theorem(not(not(X0)))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(resolution,[status(thm)],[f7239,f7]) ).
fof(f7419,plain,
! [X0,X1,X2] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))
| is_a_theorem(X2) ),
inference(resolution,[status(thm)],[f7403,f4435]) ).
fof(f8016,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(not(X0),implies(X1,X0)))
| is_a_theorem(implies(X1,X0)) ),
inference(resolution,[status(thm)],[f7241,f7419]) ).
fof(f8186,plain,
! [X0] : is_a_theorem(implies(not(not(X0)),X0)),
inference(resolution,[status(thm)],[f8016,f718]) ).
fof(f8212,plain,
( $false
| spl0_19 ),
inference(backward_subsumption_resolution,[status(thm)],[f260,f8186]) ).
fof(f8213,plain,
spl0_19,
inference(contradiction_clause,[status(thm)],[f8212]) ).
fof(f8214,plain,
$false,
inference(sat_refutation,[status(thm)],[f270,f1861,f8213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL068-1 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 10:05:18 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 42.93/5.83 % Refutation found
% 42.93/5.83 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 42.93/5.83 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 43.96/5.94 % Elapsed time: 5.579973 seconds
% 43.96/5.94 % CPU time: 44.202002 seconds
% 43.96/5.94 % Memory used: 613.352 MB
%------------------------------------------------------------------------------