%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN194-1 : 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 17:11:26 EDT 2009
% Result : Unsatisfiable 0.5s
% Output : Refutation 0.5s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 40 ( 18 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 56 ( 29 ~; 27 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 64 ( 20 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
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/SYN194-1.tptp',unknown),
[] ).
cnf(155897888,plain,
( s4(A)
| ~ p3(B,C,D)
| ~ l1(A,C) ),
inference(rewrite,[status(thm)],[rule_299]),
[] ).
fof(rule_137,plain,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),
[] ).
cnf(153653576,plain,
( n2(A)
| ~ p1(B,C,A) ),
inference(rewrite,[status(thm)],[rule_137]),
[] ).
fof(rule_085,plain,
! [A,B] :
( p1(A,A,A)
| ~ p0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),
[] ).
cnf(153112272,plain,
( p1(A,A,A)
| ~ p0(B,A) ),
inference(rewrite,[status(thm)],[rule_085]),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),
[] ).
cnf(152050624,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(166469416,plain,
p1(A,A,A),
inference(resolution,[status(thm)],[153112272,152050624]),
[] ).
cnf(168764432,plain,
n2(A),
inference(resolution,[status(thm)],[153653576,166469416]),
[] ).
fof(rule_244,plain,
! [A] :
( p3(A,A,A)
| ~ n2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),
[] ).
cnf(155133672,plain,
( p3(A,A,A)
| ~ n2(A) ),
inference(rewrite,[status(thm)],[rule_244]),
[] ).
cnf(168858120,plain,
p3(A,A,A),
inference(resolution,[status(thm)],[168764432,155133672]),
[] ).
cnf(173507448,plain,
( s4(A)
| ~ l1(A,B) ),
inference(resolution,[status(thm)],[155897888,168858120]),
[] ).
fof(rule_002,plain,
! [A,B] :
( l1(A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),
[] ).
cnf(152184344,plain,
( l1(A,A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_002]),
[] ).
fof(axiom_26,plain,
n0(d,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),
[] ).
cnf(152103880,plain,
n0(d,c),
inference(rewrite,[status(thm)],[axiom_26]),
[] ).
cnf(167514072,plain,
l1(c,c),
inference(resolution,[status(thm)],[152184344,152103880]),
[] ).
cnf(173905040,plain,
s4(c),
inference(resolution,[status(thm)],[173507448,167514072]),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),
[] ).
cnf(152073392,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
fof(rule_014,plain,
! [A,B,C] :
( m1(A,A,A)
| ~ m0(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),
[] ).
cnf(152342096,plain,
( m1(A,A,A)
| ~ m0(B,C,A) ),
inference(rewrite,[status(thm)],[rule_014]),
[] ).
fof(rule_240,plain,
! [A,B,C] :
( n3(A)
| ~ p2(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),
[] ).
cnf(155070144,plain,
( n3(A)
| ~ p2(B,C,A) ),
inference(rewrite,[status(thm)],[rule_240]),
[] ).
fof(rule_176,plain,
! [A,B] :
( p2(A,B,A)
| ~ m1(B,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),
[] ).
cnf(154183560,plain,
( p2(A,B,A)
| ~ m1(B,A,B) ),
inference(rewrite,[status(thm)],[rule_176]),
[] ).
cnf(169569664,plain,
( n3(A)
| ~ m1(B,A,B) ),
inference(resolution,[status(thm)],[155070144,154183560]),
[] ).
cnf(169865112,plain,
( ~ m0(B,C,A)
| n3(A) ),
inference(resolution,[status(thm)],[152342096,169569664]),
[] ).
cnf(169882376,plain,
n3(B),
inference(resolution,[status(thm)],[152073392,169865112]),
[] ).
fof(rule_327,plain,
! [A,B] :
( r5(A,B)
| ~ s4(A)
| ~ k0(b)
| ~ n3(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),
[] ).
fof(axiom_32,plain,
k0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),
[] ).
cnf(152138208,plain,
k0(b),
inference(rewrite,[status(thm)],[axiom_32]),
[] ).
cnf(156285728,plain,
( r5(A,B)
| ~ s4(A)
| ~ n3(B) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_327,152138208]),
[] ).
cnf(170482712,plain,
( r5(C,B)
| ~ s4(C) ),
inference(resolution,[status(thm)],[169882376,156285728]),
[] ).
cnf(174071272,plain,
r5(c,B),
inference(resolution,[status(thm)],[173905040,170482712]),
[] ).
fof(prove_this,plain,
~ r5(c,c),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),
[] ).
cnf(156347504,plain,
~ r5(c,c),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[174071272,156347504]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(rule_299,plain,(s4(A)|~p3(B,C,D)|~l1(A,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),[]).
%
% cnf(155897888,plain,(s4(A)|~p3(B,C,D)|~l1(A,C)),inference(rewrite,[status(thm)],[rule_299]),[]).
%
% fof(rule_137,plain,(n2(A)|~p1(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),[]).
%
% cnf(153653576,plain,(n2(A)|~p1(B,C,A)),inference(rewrite,[status(thm)],[rule_137]),[]).
%
% fof(rule_085,plain,(p1(A,A,A)|~p0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),[]).
%
% cnf(153112272,plain,(p1(A,A,A)|~p0(B,A)),inference(rewrite,[status(thm)],[rule_085]),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),[]).
%
% cnf(152050624,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(166469416,plain,(p1(A,A,A)),inference(resolution,[status(thm)],[153112272,152050624]),[]).
%
% cnf(168764432,plain,(n2(A)),inference(resolution,[status(thm)],[153653576,166469416]),[]).
%
% fof(rule_244,plain,(p3(A,A,A)|~n2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),[]).
%
% cnf(155133672,plain,(p3(A,A,A)|~n2(A)),inference(rewrite,[status(thm)],[rule_244]),[]).
%
% cnf(168858120,plain,(p3(A,A,A)),inference(resolution,[status(thm)],[168764432,155133672]),[]).
%
% cnf(173507448,plain,(s4(A)|~l1(A,B)),inference(resolution,[status(thm)],[155897888,168858120]),[]).
%
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),[]).
%
% cnf(152184344,plain,(l1(A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_002]),[]).
%
% fof(axiom_26,plain,(n0(d,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),[]).
%
% cnf(152103880,plain,(n0(d,c)),inference(rewrite,[status(thm)],[axiom_26]),[]).
%
% cnf(167514072,plain,(l1(c,c)),inference(resolution,[status(thm)],[152184344,152103880]),[]).
%
% cnf(173905040,plain,(s4(c)),inference(resolution,[status(thm)],[173507448,167514072]),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),[]).
%
% cnf(152073392,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% fof(rule_014,plain,(m1(A,A,A)|~m0(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),[]).
%
% cnf(152342096,plain,(m1(A,A,A)|~m0(B,C,A)),inference(rewrite,[status(thm)],[rule_014]),[]).
%
% fof(rule_240,plain,(n3(A)|~p2(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),[]).
%
% cnf(155070144,plain,(n3(A)|~p2(B,C,A)),inference(rewrite,[status(thm)],[rule_240]),[]).
%
% fof(rule_176,plain,(p2(A,B,A)|~m1(B,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),[]).
%
% cnf(154183560,plain,(p2(A,B,A)|~m1(B,A,B)),inference(rewrite,[status(thm)],[rule_176]),[]).
%
% cnf(169569664,plain,(n3(A)|~m1(B,A,B)),inference(resolution,[status(thm)],[155070144,154183560]),[]).
%
% cnf(169865112,plain,(~m0(B,C,A)|n3(A)),inference(resolution,[status(thm)],[152342096,169569664]),[]).
%
% cnf(169882376,plain,(n3(B)),inference(resolution,[status(thm)],[152073392,169865112]),[]).
%
% fof(rule_327,plain,(r5(A,B)|~s4(A)|~k0(b)|~n3(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),[]).
%
% fof(axiom_32,plain,(k0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),[]).
%
% cnf(152138208,plain,(k0(b)),inference(rewrite,[status(thm)],[axiom_32]),[]).
%
% cnf(156285728,plain,(r5(A,B)|~s4(A)|~n3(B)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_327,152138208]),[]).
%
% cnf(170482712,plain,(r5(C,B)|~s4(C)),inference(resolution,[status(thm)],[169882376,156285728]),[]).
%
% cnf(174071272,plain,(r5(c,B)),inference(resolution,[status(thm)],[173905040,170482712]),[]).
%
% fof(prove_this,plain,(~r5(c,c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN194-1.tptp',unknown),[]).
%
% cnf(156347504,plain,(~r5(c,c)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[174071272,156347504]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------