TSTP Solution File: LCL052-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL052-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 13:40:45 EDT 2009
% Result : Unsatisfiable 579.5s
% Output : Refutation 579.5s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of formulae : 55 ( 35 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 26 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 140 ( 42 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(condensed_detachment,plain,
! [A,B] :
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL052-1.tptp',unknown),
[] ).
cnf(170226456,plain,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(cn_3,plain,
! [A,B] : is_a_theorem(implies(A,implies(not(A),B))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL052-1.tptp',unknown),
[] ).
cnf(170239216,plain,
is_a_theorem(implies(A,implies(not(A),B))),
inference(rewrite,[status(thm)],[cn_3]),
[] ).
cnf(178090872,plain,
( ~ is_a_theorem(implies(implies(B,implies(not(B),C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[170226456,170239216]),
[] ).
fof(cn_1,plain,
! [A,B,C] : is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL052-1.tptp',unknown),
[] ).
cnf(170231312,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(rewrite,[status(thm)],[cn_1]),
[] ).
cnf(179155952,plain,
is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))),
inference(resolution,[status(thm)],[178090872,170231312]),
[] ).
cnf(185476416,plain,
( ~ is_a_theorem(implies(implies(not(A),B),C))
| is_a_theorem(implies(A,C)) ),
inference(resolution,[status(thm)],[170226456,179155952]),
[] ).
cnf(185503768,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(B),C),D),implies(B,D)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[170226456,179155952]),
[] ).
cnf(178161008,plain,
( ~ is_a_theorem(implies(A,B))
| is_a_theorem(implies(implies(B,C),implies(A,C))) ),
inference(resolution,[status(thm)],[170226456,170231312]),
[] ).
cnf(179904456,plain,
is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A))),
inference(resolution,[status(thm)],[178161008,170231312]),
[] ).
cnf(190042600,plain,
is_a_theorem(implies(implies(C,not(A)),implies(A,implies(C,B)))),
inference(resolution,[status(thm)],[185503768,179904456]),
[] ).
cnf(190366096,plain,
is_a_theorem(implies(A,implies(B,implies(not(A),C)))),
inference(resolution,[status(thm)],[185476416,190042600]),
[] ).
cnf(190664280,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,implies(not(A),C))) ),
inference(resolution,[status(thm)],[170226456,190366096]),
[] ).
fof(cn_2,plain,
! [A] : is_a_theorem(implies(implies(not(A),A),A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL052-1.tptp',unknown),
[] ).
cnf(170235304,plain,
is_a_theorem(implies(implies(not(A),A),A)),
inference(rewrite,[status(thm)],[cn_2]),
[] ).
cnf(178037640,plain,
( ~ is_a_theorem(implies(implies(implies(not(B),B),B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[170226456,170235304]),
[] ).
cnf(179914576,plain,
( ~ is_a_theorem(implies(A,implies(not(B),B)))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[178161008,178037640]),
[] ).
cnf(226946360,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[190664280,179914576]),
[] ).
cnf(227266800,plain,
( is_a_theorem(implies(A,implies(B,C)))
| ~ is_a_theorem(implies(B,implies(not(C),C))) ),
inference(resolution,[status(thm)],[226946360,179914576]),
[] ).
cnf(178018128,plain,
( ~ is_a_theorem(implies(not(A),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[170226456,170235304]),
[] ).
cnf(190747040,plain,
is_a_theorem(implies(implies(implies(C,implies(not(A),D)),B),implies(A,B))),
inference(resolution,[status(thm)],[178161008,190366096]),
[] ).
cnf(213558736,plain,
( ~ is_a_theorem(implies(implies(C,implies(not(A),D)),B))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[170226456,190747040]),
[] ).
cnf(189697104,plain,
( ~ is_a_theorem(implies(implies(implies(C,D),implies(B,D)),A))
| is_a_theorem(implies(implies(B,C),A)) ),
inference(resolution,[status(thm)],[170226456,179904456]),
[] ).
cnf(178745360,plain,
is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))),
inference(resolution,[status(thm)],[178037640,170231312]),
[] ).
cnf(181525440,plain,
is_a_theorem(implies(implies(implies(implies(not(A),A),B),C),implies(implies(A,B),C))),
inference(resolution,[status(thm)],[178745360,178161008]),
[] ).
cnf(198376104,plain,
( ~ is_a_theorem(implies(implies(implies(not(A),A),B),C))
| is_a_theorem(implies(implies(A,B),C)) ),
inference(resolution,[status(thm)],[170226456,181525440]),
[] ).
cnf(178071632,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(not(A),B)) ),
inference(resolution,[status(thm)],[170226456,170239216]),
[] ).
cnf(185535512,plain,
is_a_theorem(implies(A,A)),
inference(resolution,[status(thm)],[178037640,179155952]),
[] ).
cnf(185705504,plain,
is_a_theorem(implies(not(implies(B,B)),A)),
inference(resolution,[status(thm)],[178071632,185535512]),
[] ).
cnf(185813936,plain,
is_a_theorem(implies(implies(A,B),implies(not(implies(C,C)),B))),
inference(resolution,[status(thm)],[178161008,185705504]),
[] ).
cnf(187670648,plain,
is_a_theorem(implies(A,implies(not(implies(C,C)),B))),
inference(resolution,[status(thm)],[185476416,185813936]),
[] ).
cnf(187799648,plain,
is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B))),
inference(resolution,[status(thm)],[178161008,187670648]),
[] ).
cnf(199501856,plain,
is_a_theorem(implies(implies(implies(C,C),A),implies(B,A))),
inference(resolution,[status(thm)],[198376104,187799648]),
[] ).
cnf(200089696,plain,
( ~ is_a_theorem(implies(implies(C,C),A))
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[170226456,199501856]),
[] ).
cnf(200340784,plain,
is_a_theorem(implies(A,implies(implies(not(B),B),B))),
inference(resolution,[status(thm)],[200089696,178745360]),
[] ).
cnf(200936560,plain,
is_a_theorem(implies(implies(implies(implies(not(C),C),C),B),implies(A,B))),
inference(resolution,[status(thm)],[178161008,200340784]),
[] ).
cnf(234798080,plain,
is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[189697104,200936560]),
[] ).
cnf(360701752,plain,
is_a_theorem(implies(A,implies(C,implies(B,A)))),
inference(resolution,[status(thm)],[213558736,234798080]),
[] ).
cnf(367160048,plain,
is_a_theorem(implies(A,implies(B,implies(C,B)))),
inference(resolution,[status(thm)],[227266800,360701752]),
[] ).
cnf(373820384,plain,
is_a_theorem(implies(A,implies(B,A))),
inference(resolution,[status(thm)],[178018128,367160048]),
[] ).
cnf(374874184,plain,
is_a_theorem(implies(implies(implies(C,A),B),implies(A,B))),
inference(resolution,[status(thm)],[178161008,373820384]),
[] ).
cnf(384642496,plain,
( ~ is_a_theorem(implies(implies(C,A),B))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[170226456,374874184]),
[] ).
cnf(190287960,plain,
is_a_theorem(implies(implies(implies(B,implies(D,C)),A),implies(implies(D,not(B)),A))),
inference(resolution,[status(thm)],[178161008,190042600]),
[] ).
cnf(274835344,plain,
( ~ is_a_theorem(implies(implies(B,implies(D,C)),A))
| is_a_theorem(implies(implies(D,not(B)),A)) ),
inference(resolution,[status(thm)],[170226456,190287960]),
[] ).
cnf(361475256,plain,
is_a_theorem(implies(implies(not(B),not(A)),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[274835344,234798080]),
[] ).
cnf(556295264,plain,
is_a_theorem(implies(not(A),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[384642496,361475256]),
[] ).
cnf(558179760,plain,
is_a_theorem(implies(A,implies(not(B),implies(B,C)))),
inference(resolution,[status(thm)],[227266800,556295264]),
[] ).
cnf(180050192,plain,
( is_a_theorem(implies(implies(implies(B,D),A),implies(implies(C,D),A)))
| ~ is_a_theorem(implies(B,C)) ),
inference(resolution,[status(thm)],[178161008,178161008]),
[] ).
fof(prove_cn_24,plain,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL052-1.tptp',unknown),
[] ).
cnf(170246944,plain,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
inference(rewrite,[status(thm)],[prove_cn_24]),
[] ).
cnf(178650248,plain,
~ is_a_theorem(implies(implies(implies(not(A),A),A),implies(implies(implies(a,b),a),a))),
inference(resolution,[status(thm)],[178037640,170246944]),
[] ).
cnf(828358896,plain,
~ is_a_theorem(implies(not(a),implies(a,b))),
inference(resolution,[status(thm)],[180050192,178650248]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[558179760,828358896,178018128]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 578 seconds
% START OF PROOF SEQUENCE
% fof(condensed_detachment,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL052-1.tptp',unknown),[]).
%
% cnf(170226456,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(cn_3,plain,(is_a_theorem(implies(A,implies(not(A),B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL052-1.tptp',unknown),[]).
%
% cnf(170239216,plain,(is_a_theorem(implies(A,implies(not(A),B)))),inference(rewrite,[status(thm)],[cn_3]),[]).
%
% cnf(178090872,plain,(~is_a_theorem(implies(implies(B,implies(not(B),C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[170226456,170239216]),[]).
%
% fof(cn_1,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL052-1.tptp',unknown),[]).
%
% cnf(170231312,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),inference(rewrite,[status(thm)],[cn_1]),[]).
%
% cnf(179155952,plain,(is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C)))),inference(resolution,[status(thm)],[178090872,170231312]),[]).
%
% cnf(185476416,plain,(~is_a_theorem(implies(implies(not(A),B),C))|is_a_theorem(implies(A,C))),inference(resolution,[status(thm)],[170226456,179155952]),[]).
%
% cnf(185503768,plain,(~is_a_theorem(implies(implies(implies(implies(not(B),C),D),implies(B,D)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[170226456,179155952]),[]).
%
% cnf(178161008,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(implies(B,C),implies(A,C)))),inference(resolution,[status(thm)],[170226456,170231312]),[]).
%
% cnf(179904456,plain,(is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A)))),inference(resolution,[status(thm)],[178161008,170231312]),[]).
%
% cnf(190042600,plain,(is_a_theorem(implies(implies(C,not(A)),implies(A,implies(C,B))))),inference(resolution,[status(thm)],[185503768,179904456]),[]).
%
% cnf(190366096,plain,(is_a_theorem(implies(A,implies(B,implies(not(A),C))))),inference(resolution,[status(thm)],[185476416,190042600]),[]).
%
% cnf(190664280,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,implies(not(A),C)))),inference(resolution,[status(thm)],[170226456,190366096]),[]).
%
% fof(cn_2,plain,(is_a_theorem(implies(implies(not(A),A),A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL052-1.tptp',unknown),[]).
%
% cnf(170235304,plain,(is_a_theorem(implies(implies(not(A),A),A))),inference(rewrite,[status(thm)],[cn_2]),[]).
%
% cnf(178037640,plain,(~is_a_theorem(implies(implies(implies(not(B),B),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[170226456,170235304]),[]).
%
% cnf(179914576,plain,(~is_a_theorem(implies(A,implies(not(B),B)))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[178161008,178037640]),[]).
%
% cnf(226946360,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[190664280,179914576]),[]).
%
% cnf(227266800,plain,(is_a_theorem(implies(A,implies(B,C)))|~is_a_theorem(implies(B,implies(not(C),C)))),inference(resolution,[status(thm)],[226946360,179914576]),[]).
%
% cnf(178018128,plain,(~is_a_theorem(implies(not(A),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[170226456,170235304]),[]).
%
% cnf(190747040,plain,(is_a_theorem(implies(implies(implies(C,implies(not(A),D)),B),implies(A,B)))),inference(resolution,[status(thm)],[178161008,190366096]),[]).
%
% cnf(213558736,plain,(~is_a_theorem(implies(implies(C,implies(not(A),D)),B))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[170226456,190747040]),[]).
%
% cnf(189697104,plain,(~is_a_theorem(implies(implies(implies(C,D),implies(B,D)),A))|is_a_theorem(implies(implies(B,C),A))),inference(resolution,[status(thm)],[170226456,179904456]),[]).
%
% cnf(178745360,plain,(is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B)))),inference(resolution,[status(thm)],[178037640,170231312]),[]).
%
% cnf(181525440,plain,(is_a_theorem(implies(implies(implies(implies(not(A),A),B),C),implies(implies(A,B),C)))),inference(resolution,[status(thm)],[178745360,178161008]),[]).
%
% cnf(198376104,plain,(~is_a_theorem(implies(implies(implies(not(A),A),B),C))|is_a_theorem(implies(implies(A,B),C))),inference(resolution,[status(thm)],[170226456,181525440]),[]).
%
% cnf(178071632,plain,(~is_a_theorem(A)|is_a_theorem(implies(not(A),B))),inference(resolution,[status(thm)],[170226456,170239216]),[]).
%
% cnf(185535512,plain,(is_a_theorem(implies(A,A))),inference(resolution,[status(thm)],[178037640,179155952]),[]).
%
% cnf(185705504,plain,(is_a_theorem(implies(not(implies(B,B)),A))),inference(resolution,[status(thm)],[178071632,185535512]),[]).
%
% cnf(185813936,plain,(is_a_theorem(implies(implies(A,B),implies(not(implies(C,C)),B)))),inference(resolution,[status(thm)],[178161008,185705504]),[]).
%
% cnf(187670648,plain,(is_a_theorem(implies(A,implies(not(implies(C,C)),B)))),inference(resolution,[status(thm)],[185476416,185813936]),[]).
%
% cnf(187799648,plain,(is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B)))),inference(resolution,[status(thm)],[178161008,187670648]),[]).
%
% cnf(199501856,plain,(is_a_theorem(implies(implies(implies(C,C),A),implies(B,A)))),inference(resolution,[status(thm)],[198376104,187799648]),[]).
%
% cnf(200089696,plain,(~is_a_theorem(implies(implies(C,C),A))|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[170226456,199501856]),[]).
%
% cnf(200340784,plain,(is_a_theorem(implies(A,implies(implies(not(B),B),B)))),inference(resolution,[status(thm)],[200089696,178745360]),[]).
%
% cnf(200936560,plain,(is_a_theorem(implies(implies(implies(implies(not(C),C),C),B),implies(A,B)))),inference(resolution,[status(thm)],[178161008,200340784]),[]).
%
% cnf(234798080,plain,(is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[189697104,200936560]),[]).
%
% cnf(360701752,plain,(is_a_theorem(implies(A,implies(C,implies(B,A))))),inference(resolution,[status(thm)],[213558736,234798080]),[]).
%
% cnf(367160048,plain,(is_a_theorem(implies(A,implies(B,implies(C,B))))),inference(resolution,[status(thm)],[227266800,360701752]),[]).
%
% cnf(373820384,plain,(is_a_theorem(implies(A,implies(B,A)))),inference(resolution,[status(thm)],[178018128,367160048]),[]).
%
% cnf(374874184,plain,(is_a_theorem(implies(implies(implies(C,A),B),implies(A,B)))),inference(resolution,[status(thm)],[178161008,373820384]),[]).
%
% cnf(384642496,plain,(~is_a_theorem(implies(implies(C,A),B))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[170226456,374874184]),[]).
%
% cnf(190287960,plain,(is_a_theorem(implies(implies(implies(B,implies(D,C)),A),implies(implies(D,not(B)),A)))),inference(resolution,[status(thm)],[178161008,190042600]),[]).
%
% cnf(274835344,plain,(~is_a_theorem(implies(implies(B,implies(D,C)),A))|is_a_theorem(implies(implies(D,not(B)),A))),inference(resolution,[status(thm)],[170226456,190287960]),[]).
%
% cnf(361475256,plain,(is_a_theorem(implies(implies(not(B),not(A)),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[274835344,234798080]),[]).
%
% cnf(556295264,plain,(is_a_theorem(implies(not(A),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[384642496,361475256]),[]).
%
% cnf(558179760,plain,(is_a_theorem(implies(A,implies(not(B),implies(B,C))))),inference(resolution,[status(thm)],[227266800,556295264]),[]).
%
% cnf(180050192,plain,(is_a_theorem(implies(implies(implies(B,D),A),implies(implies(C,D),A)))|~is_a_theorem(implies(B,C))),inference(resolution,[status(thm)],[178161008,178161008]),[]).
%
% fof(prove_cn_24,plain,(~is_a_theorem(implies(implies(implies(a,b),a),a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL052-1.tptp',unknown),[]).
%
% cnf(170246944,plain,(~is_a_theorem(implies(implies(implies(a,b),a),a))),inference(rewrite,[status(thm)],[prove_cn_24]),[]).
%
% cnf(178650248,plain,(~is_a_theorem(implies(implies(implies(not(A),A),A),implies(implies(implies(a,b),a),a)))),inference(resolution,[status(thm)],[178037640,170246944]),[]).
%
% cnf(828358896,plain,(~is_a_theorem(implies(not(a),implies(a,b)))),inference(resolution,[status(thm)],[180050192,178650248]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[558179760,828358896,178018128]),[]).
%
% END OF PROOF SEQUENCE
%
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