TSTP Solution File: SYN208-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN208-1 : 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 17:17:10 EDT 2009
% Result : Unsatisfiable 63.8s
% Output : Refutation 63.8s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 31 ( 16 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 27 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 39 ( 15 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_190,plain,
( s2(d)
| ~ s1(a)
| ~ s0(d) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN208-1.tptp',unknown),
[] ).
fof(axiom_1,plain,
s0(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN208-1.tptp',unknown),
[] ).
cnf(153485488,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(155906984,plain,
( s2(d)
| ~ s1(a) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_190,153485488]),
[] ).
fof(rule_126,plain,
! [A,B,C] :
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN208-1.tptp',unknown),
[] ).
cnf(155012912,plain,
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
inference(rewrite,[status(thm)],[rule_126]),
[] ).
fof(axiom_17,plain,
! [A] : q0(A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN208-1.tptp',unknown),
[] ).
cnf(153588824,plain,
q0(A,d),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
cnf(167786568,plain,
( s1(A)
| ~ s1(B) ),
inference(resolution,[status(thm)],[155012912,153588824]),
[] ).
cnf(170525888,plain,
( s2(d)
| ~ s1(A) ),
inference(resolution,[status(thm)],[155906984,167786568]),
[] ).
fof(rule_125,plain,
! [A] :
( s1(A)
| ~ p0(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN208-1.tptp',unknown),
[] ).
cnf(155000768,plain,
( s1(A)
| ~ p0(A,A) ),
inference(rewrite,[status(thm)],[rule_125]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN208-1.tptp',unknown),
[] ).
cnf(153573536,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(167491496,plain,
s1(b),
inference(resolution,[status(thm)],[155000768,153573536]),
[] ).
cnf(170624680,plain,
s2(d),
inference(resolution,[status(thm)],[170525888,167491496]),
[] ).
fof(rule_273,plain,
! [A,B,C,D] :
( s3(A,B)
| ~ q2(C,A,C)
| ~ s2(A)
| ~ m0(C,D,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN208-1.tptp',unknown),
[] ).
cnf(157067272,plain,
( s3(A,B)
| ~ q2(C,A,C)
| ~ s2(A)
| ~ m0(C,D,B) ),
inference(rewrite,[status(thm)],[rule_273]),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN208-1.tptp',unknown),
[] ).
cnf(153596304,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(946073464,plain,
( s3(A,B)
| ~ q2(C,A,C)
| ~ s2(A) ),
inference(resolution,[status(thm)],[157067272,153596304]),
[] ).
fof(rule_178,plain,
! [A,B,C] :
( q2(A,A,A)
| ~ q0(B,A)
| ~ n1(B,A,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN208-1.tptp',unknown),
[] ).
cnf(155727496,plain,
( q2(A,A,A)
| ~ q0(B,A)
| ~ n1(B,A,C) ),
inference(rewrite,[status(thm)],[rule_178]),
[] ).
cnf(167852800,plain,
( q2(d,d,d)
| ~ n1(A,d,B) ),
inference(resolution,[status(thm)],[155727496,153588824]),
[] ).
fof(rule_045,plain,
( n1(d,d,d)
| ~ q0(d,d) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN208-1.tptp',unknown),
[] ).
cnf(154178736,plain,
n1(d,d,d),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_045,153588824]),
[] ).
cnf(169130472,plain,
q2(d,d,d),
inference(resolution,[status(thm)],[167852800,154178736]),
[] ).
cnf(947444152,plain,
s3(d,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[170624680,946073464,169130472]),
[] ).
fof(prove_this,plain,
~ s3(d,b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN208-1.tptp',unknown),
[] ).
cnf(157870424,plain,
~ s3(d,b),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[947444152,157870424]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 60 seconds
% START OF PROOF SEQUENCE
% fof(rule_190,plain,(s2(d)|~s1(a)|~s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN208-1.tptp',unknown),[]).
%
% fof(axiom_1,plain,(s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN208-1.tptp',unknown),[]).
%
% cnf(153485488,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(155906984,plain,(s2(d)|~s1(a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_190,153485488]),[]).
%
% fof(rule_126,plain,(s1(A)|~q0(A,B)|~s1(C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN208-1.tptp',unknown),[]).
%
% cnf(155012912,plain,(s1(A)|~q0(A,B)|~s1(C)),inference(rewrite,[status(thm)],[rule_126]),[]).
%
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN208-1.tptp',unknown),[]).
%
% cnf(153588824,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% cnf(167786568,plain,(s1(A)|~s1(B)),inference(resolution,[status(thm)],[155012912,153588824]),[]).
%
% cnf(170525888,plain,(s2(d)|~s1(A)),inference(resolution,[status(thm)],[155906984,167786568]),[]).
%
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN208-1.tptp',unknown),[]).
%
% cnf(155000768,plain,(s1(A)|~p0(A,A)),inference(rewrite,[status(thm)],[rule_125]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN208-1.tptp',unknown),[]).
%
% cnf(153573536,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(167491496,plain,(s1(b)),inference(resolution,[status(thm)],[155000768,153573536]),[]).
%
% cnf(170624680,plain,(s2(d)),inference(resolution,[status(thm)],[170525888,167491496]),[]).
%
% fof(rule_273,plain,(s3(A,B)|~q2(C,A,C)|~s2(A)|~m0(C,D,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN208-1.tptp',unknown),[]).
%
% cnf(157067272,plain,(s3(A,B)|~q2(C,A,C)|~s2(A)|~m0(C,D,B)),inference(rewrite,[status(thm)],[rule_273]),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN208-1.tptp',unknown),[]).
%
% cnf(153596304,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(946073464,plain,(s3(A,B)|~q2(C,A,C)|~s2(A)),inference(resolution,[status(thm)],[157067272,153596304]),[]).
%
% fof(rule_178,plain,(q2(A,A,A)|~q0(B,A)|~n1(B,A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN208-1.tptp',unknown),[]).
%
% cnf(155727496,plain,(q2(A,A,A)|~q0(B,A)|~n1(B,A,C)),inference(rewrite,[status(thm)],[rule_178]),[]).
%
% cnf(167852800,plain,(q2(d,d,d)|~n1(A,d,B)),inference(resolution,[status(thm)],[155727496,153588824]),[]).
%
% fof(rule_045,plain,(n1(d,d,d)|~q0(d,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN208-1.tptp',unknown),[]).
%
% cnf(154178736,plain,(n1(d,d,d)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_045,153588824]),[]).
%
% cnf(169130472,plain,(q2(d,d,d)),inference(resolution,[status(thm)],[167852800,154178736]),[]).
%
% cnf(947444152,plain,(s3(d,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[170624680,946073464,169130472]),[]).
%
% fof(prove_this,plain,(~s3(d,b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN208-1.tptp',unknown),[]).
%
% cnf(157870424,plain,(~s3(d,b)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[947444152,157870424]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------