TSTP Solution File: SYN141-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN141-1 : TPTP v3.4.2. Released v1.1.0.
% 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 16:54:38 EDT 2009
% Result : Unsatisfiable 1.6s
% Output : Refutation 1.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 15
% Syntax : Number of formulae : 42 ( 23 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 65 ( 36 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 38 ( 5 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_18,plain,
p0(c,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),
[] ).
cnf(178607280,plain,
p0(c,b),
inference(rewrite,[status(thm)],[axiom_18]),
[] ).
fof(rule_003,plain,
! [A,B,C,D] :
( l1(A,B)
| ~ p0(C,A)
| ~ r0(D)
| ~ m0(B,A,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),
[] ).
cnf(178856184,plain,
( l1(A,B)
| ~ p0(C,A)
| ~ r0(D)
| ~ m0(B,A,C) ),
inference(rewrite,[status(thm)],[rule_003]),
[] ).
fof(axiom_9,plain,
r0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),
[] ).
cnf(178671296,plain,
r0(b),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
cnf(191582056,plain,
( l1(A,B)
| ~ p0(C,A)
| ~ m0(B,A,C) ),
inference(resolution,[status(thm)],[178856184,178671296]),
[] ).
fof(axiom_27,plain,
m0(e,b,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),
[] ).
cnf(178760280,plain,
m0(e,b,c),
inference(rewrite,[status(thm)],[axiom_27]),
[] ).
cnf(216850088,plain,
l1(b,e),
inference(forward_subsumption_resolution__resolution,[status(thm)],[178607280,191582056,178760280]),
[] ).
fof(rule_255,plain,
! [A,B,C] :
( q3(A,B)
| ~ q2(C,A,B)
| ~ n0(C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),
[] ).
cnf(181917456,plain,
( q3(A,B)
| ~ q2(C,A,B)
| ~ n0(C,A) ),
inference(rewrite,[status(thm)],[rule_255]),
[] ).
fof(axiom_30,plain,
n0(e,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),
[] ).
cnf(178779416,plain,
n0(e,e),
inference(rewrite,[status(thm)],[axiom_30]),
[] ).
cnf(193717984,plain,
( q3(e,A)
| ~ q2(e,e,A) ),
inference(resolution,[status(thm)],[181917456,178779416]),
[] ).
fof(rule_159,plain,
! [A] :
( p2(A,A,A)
| ~ k1(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),
[] ).
cnf(180611296,plain,
( p2(A,A,A)
| ~ k1(A) ),
inference(rewrite,[status(thm)],[rule_159]),
[] ).
fof(rule_001,plain,
! [A,B] :
( k1(A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),
[] ).
cnf(178819504,plain,
( k1(A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_001]),
[] ).
fof(axiom_3,plain,
n0(d,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),
[] ).
cnf(178629664,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(192035912,plain,
k1(e),
inference(resolution,[status(thm)],[178819504,178629664]),
[] ).
cnf(192172240,plain,
p2(e,e,e),
inference(resolution,[status(thm)],[180611296,192035912]),
[] ).
fof(rule_240,plain,
! [A,B,C] :
( n3(A)
| ~ p2(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),
[] ).
cnf(181718760,plain,
( n3(A)
| ~ p2(B,C,A) ),
inference(rewrite,[status(thm)],[rule_240]),
[] ).
cnf(195157808,plain,
n3(e),
inference(resolution,[status(thm)],[192172240,181718760]),
[] ).
fof(rule_274,plain,
( k4(c)
| ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),
[] ).
fof(axiom_34,plain,
n0(c,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),
[] ).
cnf(178794280,plain,
n0(c,d),
inference(rewrite,[status(thm)],[axiom_34]),
[] ).
cnf(182207208,plain,
( k4(c)
| ~ q3(e,b)
| ~ n3(e) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_274,178794280]),
[] ).
fof(rule_304,plain,
! [A] :
( m5(A,A)
| ~ k4(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),
[] ).
cnf(182623784,plain,
( m5(A,A)
| ~ k4(A) ),
inference(rewrite,[status(thm)],[rule_304]),
[] ).
fof(prove_this,plain,
! [A] : ~ m5(c,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),
[] ).
cnf(182995472,plain,
~ m5(c,A),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(194802808,plain,
~ k4(c),
inference(resolution,[status(thm)],[182623784,182995472]),
[] ).
cnf(194837744,plain,
( ~ q3(e,b)
| ~ n3(e) ),
inference(resolution,[status(thm)],[182207208,194802808]),
[] ).
cnf(195189920,plain,
~ q3(e,b),
inference(resolution,[status(thm)],[195157808,194837744]),
[] ).
cnf(212517024,plain,
~ q2(e,e,b),
inference(resolution,[status(thm)],[193717984,195189920]),
[] ).
fof(rule_186,plain,
! [A,B] :
( q2(A,A,B)
| ~ l1(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),
[] ).
cnf(180976744,plain,
( q2(A,A,B)
| ~ l1(B,A) ),
inference(rewrite,[status(thm)],[rule_186]),
[] ).
cnf(212619576,plain,
~ l1(b,e),
inference(resolution,[status(thm)],[212517024,180976744]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[216850088,212619576]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(axiom_18,plain,(p0(c,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),[]).
%
% cnf(178607280,plain,(p0(c,b)),inference(rewrite,[status(thm)],[axiom_18]),[]).
%
% fof(rule_003,plain,(l1(A,B)|~p0(C,A)|~r0(D)|~m0(B,A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),[]).
%
% cnf(178856184,plain,(l1(A,B)|~p0(C,A)|~r0(D)|~m0(B,A,C)),inference(rewrite,[status(thm)],[rule_003]),[]).
%
% fof(axiom_9,plain,(r0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),[]).
%
% cnf(178671296,plain,(r0(b)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% cnf(191582056,plain,(l1(A,B)|~p0(C,A)|~m0(B,A,C)),inference(resolution,[status(thm)],[178856184,178671296]),[]).
%
% fof(axiom_27,plain,(m0(e,b,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),[]).
%
% cnf(178760280,plain,(m0(e,b,c)),inference(rewrite,[status(thm)],[axiom_27]),[]).
%
% cnf(216850088,plain,(l1(b,e)),inference(forward_subsumption_resolution__resolution,[status(thm)],[178607280,191582056,178760280]),[]).
%
% fof(rule_255,plain,(q3(A,B)|~q2(C,A,B)|~n0(C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),[]).
%
% cnf(181917456,plain,(q3(A,B)|~q2(C,A,B)|~n0(C,A)),inference(rewrite,[status(thm)],[rule_255]),[]).
%
% fof(axiom_30,plain,(n0(e,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),[]).
%
% cnf(178779416,plain,(n0(e,e)),inference(rewrite,[status(thm)],[axiom_30]),[]).
%
% cnf(193717984,plain,(q3(e,A)|~q2(e,e,A)),inference(resolution,[status(thm)],[181917456,178779416]),[]).
%
% fof(rule_159,plain,(p2(A,A,A)|~k1(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),[]).
%
% cnf(180611296,plain,(p2(A,A,A)|~k1(A)),inference(rewrite,[status(thm)],[rule_159]),[]).
%
% fof(rule_001,plain,(k1(A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),[]).
%
% cnf(178819504,plain,(k1(A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_001]),[]).
%
% fof(axiom_3,plain,(n0(d,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),[]).
%
% cnf(178629664,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(192035912,plain,(k1(e)),inference(resolution,[status(thm)],[178819504,178629664]),[]).
%
% cnf(192172240,plain,(p2(e,e,e)),inference(resolution,[status(thm)],[180611296,192035912]),[]).
%
% fof(rule_240,plain,(n3(A)|~p2(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),[]).
%
% cnf(181718760,plain,(n3(A)|~p2(B,C,A)),inference(rewrite,[status(thm)],[rule_240]),[]).
%
% cnf(195157808,plain,(n3(e)),inference(resolution,[status(thm)],[192172240,181718760]),[]).
%
% fof(rule_274,plain,(k4(c)|~n0(c,d)|~q3(e,b)|~n3(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),[]).
%
% fof(axiom_34,plain,(n0(c,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),[]).
%
% cnf(178794280,plain,(n0(c,d)),inference(rewrite,[status(thm)],[axiom_34]),[]).
%
% cnf(182207208,plain,(k4(c)|~q3(e,b)|~n3(e)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_274,178794280]),[]).
%
% fof(rule_304,plain,(m5(A,A)|~k4(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),[]).
%
% cnf(182623784,plain,(m5(A,A)|~k4(A)),inference(rewrite,[status(thm)],[rule_304]),[]).
%
% fof(prove_this,plain,(~m5(c,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),[]).
%
% cnf(182995472,plain,(~m5(c,A)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(194802808,plain,(~k4(c)),inference(resolution,[status(thm)],[182623784,182995472]),[]).
%
% cnf(194837744,plain,(~q3(e,b)|~n3(e)),inference(resolution,[status(thm)],[182207208,194802808]),[]).
%
% cnf(195189920,plain,(~q3(e,b)),inference(resolution,[status(thm)],[195157808,194837744]),[]).
%
% cnf(212517024,plain,(~q2(e,e,b)),inference(resolution,[status(thm)],[193717984,195189920]),[]).
%
% fof(rule_186,plain,(q2(A,A,B)|~l1(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN141-1.tptp',unknown),[]).
%
% cnf(180976744,plain,(q2(A,A,B)|~l1(B,A)),inference(rewrite,[status(thm)],[rule_186]),[]).
%
% cnf(212619576,plain,(~l1(b,e)),inference(resolution,[status(thm)],[212517024,180976744]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[216850088,212619576]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------