TSTP Solution File: SYN211-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN211-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.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 17:17:23 EDT 2009
% Result : Unsatisfiable 0.6s
% Output : Refutation 0.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 27 ( 7 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_34,plain,
n0(c,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN211-1.tptp',unknown),
[] ).
cnf(178924488,plain,
n0(c,d),
inference(rewrite,[status(thm)],[axiom_34]),
[] ).
fof(rule_002,plain,
! [A,B] :
( l1(A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN211-1.tptp',unknown),
[] ).
cnf(178963168,plain,
( l1(A,A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_002]),
[] ).
cnf(196655784,plain,
l1(d,d),
inference(resolution,[status(thm)],[178924488,178963168]),
[] ).
fof(rule_299,plain,
! [A,B,C,D] :
( s4(A)
| ~ p3(B,C,D)
| ~ l1(A,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN211-1.tptp',unknown),
[] ).
cnf(182676720,plain,
( s4(A)
| ~ p3(B,C,D)
| ~ l1(A,C) ),
inference(rewrite,[status(thm)],[rule_299]),
[] ).
fof(rule_248,plain,
! [A,B] :
( p3(A,A,A)
| ~ p2(B,A,A)
| ~ n3(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN211-1.tptp',unknown),
[] ).
fof(rule_240,plain,
! [A,B,C] :
( n3(A)
| ~ p2(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN211-1.tptp',unknown),
[] ).
cnf(181848968,plain,
( n3(A)
| ~ p2(B,C,A) ),
inference(rewrite,[status(thm)],[rule_240]),
[] ).
cnf(181962120,plain,
( p3(A,A,A)
| ~ p2(B,A,A) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_248,181848968]),
[] ).
fof(rule_153,plain,
! [A] :
( p2(A,A,A)
| ~ n1(d,d,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN211-1.tptp',unknown),
[] ).
cnf(180662272,plain,
( p2(A,A,A)
| ~ n1(d,d,A) ),
inference(rewrite,[status(thm)],[rule_153]),
[] ).
fof(rule_045,plain,
( n1(d,d,d)
| ~ q0(d,d) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN211-1.tptp',unknown),
[] ).
fof(axiom_17,plain,
! [A] : q0(A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN211-1.tptp',unknown),
[] ).
cnf(178844736,plain,
q0(A,d),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
cnf(179434648,plain,
n1(d,d,d),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_045,178844736]),
[] ).
cnf(194220344,plain,
p2(d,d,d),
inference(resolution,[status(thm)],[180662272,179434648]),
[] ).
cnf(195295464,plain,
p3(d,d,d),
inference(resolution,[status(thm)],[181962120,194220344]),
[] ).
cnf(200883704,plain,
( s4(A)
| ~ l1(A,d) ),
inference(resolution,[status(thm)],[182676720,195295464]),
[] ).
fof(prove_this,plain,
~ s4(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN211-1.tptp',unknown),
[] ).
cnf(181161120,plain,
~ s4(d),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[196655784,200883704,181161120]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(axiom_34,plain,(n0(c,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN211-1.tptp',unknown),[]).
%
% cnf(178924488,plain,(n0(c,d)),inference(rewrite,[status(thm)],[axiom_34]),[]).
%
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN211-1.tptp',unknown),[]).
%
% cnf(178963168,plain,(l1(A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_002]),[]).
%
% cnf(196655784,plain,(l1(d,d)),inference(resolution,[status(thm)],[178924488,178963168]),[]).
%
% fof(rule_299,plain,(s4(A)|~p3(B,C,D)|~l1(A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN211-1.tptp',unknown),[]).
%
% cnf(182676720,plain,(s4(A)|~p3(B,C,D)|~l1(A,C)),inference(rewrite,[status(thm)],[rule_299]),[]).
%
% fof(rule_248,plain,(p3(A,A,A)|~p2(B,A,A)|~n3(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN211-1.tptp',unknown),[]).
%
% fof(rule_240,plain,(n3(A)|~p2(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN211-1.tptp',unknown),[]).
%
% cnf(181848968,plain,(n3(A)|~p2(B,C,A)),inference(rewrite,[status(thm)],[rule_240]),[]).
%
% cnf(181962120,plain,(p3(A,A,A)|~p2(B,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_248,181848968]),[]).
%
% fof(rule_153,plain,(p2(A,A,A)|~n1(d,d,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN211-1.tptp',unknown),[]).
%
% cnf(180662272,plain,(p2(A,A,A)|~n1(d,d,A)),inference(rewrite,[status(thm)],[rule_153]),[]).
%
% fof(rule_045,plain,(n1(d,d,d)|~q0(d,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN211-1.tptp',unknown),[]).
%
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN211-1.tptp',unknown),[]).
%
% cnf(178844736,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% cnf(179434648,plain,(n1(d,d,d)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_045,178844736]),[]).
%
% cnf(194220344,plain,(p2(d,d,d)),inference(resolution,[status(thm)],[180662272,179434648]),[]).
%
% cnf(195295464,plain,(p3(d,d,d)),inference(resolution,[status(thm)],[181962120,194220344]),[]).
%
% cnf(200883704,plain,(s4(A)|~l1(A,d)),inference(resolution,[status(thm)],[182676720,195295464]),[]).
%
% fof(prove_this,plain,(~s4(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN211-1.tptp',unknown),[]).
%
% cnf(181161120,plain,(~s4(d)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[196655784,200883704,181161120]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------