TSTP Solution File: SYN115-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN115-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.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 16:48:46 EDT 2009
% Result : Unsatisfiable 1.3s
% Output : Refutation 1.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 39 ( 22 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 60 ( 33 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 34 ( 4 sgn 15 !; 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/SYN115-1.tptp',unknown),
[] ).
cnf(173679760,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/SYN115-1.tptp',unknown),
[] ).
cnf(173928664,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/SYN115-1.tptp',unknown),
[] ).
cnf(173743776,plain,
r0(b),
inference(rewrite,[status(thm)],[axiom_9]),
[] ).
cnf(186603216,plain,
( l1(A,B)
| ~ p0(C,A)
| ~ m0(B,A,C) ),
inference(resolution,[status(thm)],[173928664,173743776]),
[] ).
fof(axiom_27,plain,
m0(e,b,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN115-1.tptp',unknown),
[] ).
cnf(173828672,plain,
m0(e,b,c),
inference(rewrite,[status(thm)],[axiom_27]),
[] ).
cnf(211296616,plain,
l1(b,e),
inference(forward_subsumption_resolution__resolution,[status(thm)],[173679760,186603216,173828672]),
[] ).
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/SYN115-1.tptp',unknown),
[] ).
cnf(176989936,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/SYN115-1.tptp',unknown),
[] ).
cnf(173851896,plain,
n0(e,e),
inference(rewrite,[status(thm)],[axiom_30]),
[] ).
cnf(188397088,plain,
( q3(e,A)
| ~ q2(e,e,A) ),
inference(resolution,[status(thm)],[176989936,173851896]),
[] ).
fof(rule_274,plain,
( k4(c)
| ~ n0(c,d)
| ~ q3(e,b)
| ~ n3(e) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN115-1.tptp',unknown),
[] ).
fof(axiom_34,plain,
n0(c,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN115-1.tptp',unknown),
[] ).
cnf(173866760,plain,
n0(c,d),
inference(rewrite,[status(thm)],[axiom_34]),
[] ).
cnf(177279688,plain,
( k4(c)
| ~ q3(e,b)
| ~ n3(e) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_274,173866760]),
[] ).
fof(prove_this,plain,
~ k4(c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN115-1.tptp',unknown),
[] ).
cnf(178067904,plain,
~ k4(c),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(188498384,plain,
( ~ q3(e,b)
| ~ n3(e) ),
inference(resolution,[status(thm)],[177279688,178067904]),
[] ).
fof(rule_240,plain,
! [A,B,C] :
( n3(A)
| ~ p2(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN115-1.tptp',unknown),
[] ).
cnf(176791240,plain,
( n3(A)
| ~ p2(B,C,A) ),
inference(rewrite,[status(thm)],[rule_240]),
[] ).
fof(rule_159,plain,
! [A] :
( p2(A,A,A)
| ~ k1(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN115-1.tptp',unknown),
[] ).
cnf(175683776,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/SYN115-1.tptp',unknown),
[] ).
cnf(173891984,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/SYN115-1.tptp',unknown),
[] ).
cnf(173702144,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(187127192,plain,
k1(e),
inference(resolution,[status(thm)],[173891984,173702144]),
[] ).
cnf(187264320,plain,
p2(e,e,e),
inference(resolution,[status(thm)],[175683776,187127192]),
[] ).
cnf(190025384,plain,
n3(e),
inference(resolution,[status(thm)],[176791240,187264320]),
[] ).
cnf(192313144,plain,
~ q3(e,b),
inference(resolution,[status(thm)],[188498384,190025384]),
[] ).
cnf(206952664,plain,
~ q2(e,e,b),
inference(resolution,[status(thm)],[188397088,192313144]),
[] ).
fof(rule_186,plain,
! [A,B] :
( q2(A,A,B)
| ~ l1(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN115-1.tptp',unknown),
[] ).
cnf(176049224,plain,
( q2(A,A,B)
| ~ l1(B,A) ),
inference(rewrite,[status(thm)],[rule_186]),
[] ).
cnf(207021408,plain,
~ l1(b,e),
inference(resolution,[status(thm)],[206952664,176049224]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[211296616,207021408]),
[] ).
%------------------------------------------------------------------------------
%----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/SYN115-1.tptp',unknown),[]).
%
% cnf(173679760,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/SYN115-1.tptp',unknown),[]).
%
% cnf(173928664,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/SYN115-1.tptp',unknown),[]).
%
% cnf(173743776,plain,(r0(b)),inference(rewrite,[status(thm)],[axiom_9]),[]).
%
% cnf(186603216,plain,(l1(A,B)|~p0(C,A)|~m0(B,A,C)),inference(resolution,[status(thm)],[173928664,173743776]),[]).
%
% fof(axiom_27,plain,(m0(e,b,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN115-1.tptp',unknown),[]).
%
% cnf(173828672,plain,(m0(e,b,c)),inference(rewrite,[status(thm)],[axiom_27]),[]).
%
% cnf(211296616,plain,(l1(b,e)),inference(forward_subsumption_resolution__resolution,[status(thm)],[173679760,186603216,173828672]),[]).
%
% fof(rule_255,plain,(q3(A,B)|~q2(C,A,B)|~n0(C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN115-1.tptp',unknown),[]).
%
% cnf(176989936,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/SYN115-1.tptp',unknown),[]).
%
% cnf(173851896,plain,(n0(e,e)),inference(rewrite,[status(thm)],[axiom_30]),[]).
%
% cnf(188397088,plain,(q3(e,A)|~q2(e,e,A)),inference(resolution,[status(thm)],[176989936,173851896]),[]).
%
% fof(rule_274,plain,(k4(c)|~n0(c,d)|~q3(e,b)|~n3(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN115-1.tptp',unknown),[]).
%
% fof(axiom_34,plain,(n0(c,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN115-1.tptp',unknown),[]).
%
% cnf(173866760,plain,(n0(c,d)),inference(rewrite,[status(thm)],[axiom_34]),[]).
%
% cnf(177279688,plain,(k4(c)|~q3(e,b)|~n3(e)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_274,173866760]),[]).
%
% fof(prove_this,plain,(~k4(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN115-1.tptp',unknown),[]).
%
% cnf(178067904,plain,(~k4(c)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(188498384,plain,(~q3(e,b)|~n3(e)),inference(resolution,[status(thm)],[177279688,178067904]),[]).
%
% fof(rule_240,plain,(n3(A)|~p2(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN115-1.tptp',unknown),[]).
%
% cnf(176791240,plain,(n3(A)|~p2(B,C,A)),inference(rewrite,[status(thm)],[rule_240]),[]).
%
% fof(rule_159,plain,(p2(A,A,A)|~k1(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN115-1.tptp',unknown),[]).
%
% cnf(175683776,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/SYN115-1.tptp',unknown),[]).
%
% cnf(173891984,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/SYN115-1.tptp',unknown),[]).
%
% cnf(173702144,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(187127192,plain,(k1(e)),inference(resolution,[status(thm)],[173891984,173702144]),[]).
%
% cnf(187264320,plain,(p2(e,e,e)),inference(resolution,[status(thm)],[175683776,187127192]),[]).
%
% cnf(190025384,plain,(n3(e)),inference(resolution,[status(thm)],[176791240,187264320]),[]).
%
% cnf(192313144,plain,(~q3(e,b)),inference(resolution,[status(thm)],[188498384,190025384]),[]).
%
% cnf(206952664,plain,(~q2(e,e,b)),inference(resolution,[status(thm)],[188397088,192313144]),[]).
%
% fof(rule_186,plain,(q2(A,A,B)|~l1(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN115-1.tptp',unknown),[]).
%
% cnf(176049224,plain,(q2(A,A,B)|~l1(B,A)),inference(rewrite,[status(thm)],[rule_186]),[]).
%
% cnf(207021408,plain,(~l1(b,e)),inference(resolution,[status(thm)],[206952664,176049224]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[211296616,207021408]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------