TSTP Solution File: SYN195-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN195-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art04.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 17:11:30 EDT 2009
% Result : Unsatisfiable 0.6s
% Output : Refutation 0.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 47 ( 24 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 68 ( 35 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 58 ( 14 sgn 26 !; 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/SYN195-1.tptp',unknown),
[] ).
cnf(168820768,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/SYN195-1.tptp',unknown),
[] ).
cnf(166576456,plain,
( n2(A)
| ~ p1(B,C,A) ),
inference(rewrite,[status(thm)],[rule_137]),
[] ).
fof(rule_072,plain,
! [A,B] :
( p1(A,A,A)
| ~ s0(B)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),
[] ).
cnf(165900064,plain,
( p1(A,A,A)
| ~ s0(B)
| ~ s0(A) ),
inference(rewrite,[status(thm)],[rule_072]),
[] ).
fof(axiom_1,plain,
s0(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),
[] ).
cnf(164885456,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(177601424,plain,
p1(d,d,d),
inference(resolution,[status(thm)],[165900064,164885456]),
[] ).
cnf(182220568,plain,
n2(d),
inference(resolution,[status(thm)],[166576456,177601424]),
[] ).
fof(rule_244,plain,
! [A] :
( p3(A,A,A)
| ~ n2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),
[] ).
cnf(168056552,plain,
( p3(A,A,A)
| ~ n2(A) ),
inference(rewrite,[status(thm)],[rule_244]),
[] ).
cnf(182262576,plain,
p3(d,d,d),
inference(resolution,[status(thm)],[182220568,168056552]),
[] ).
cnf(187048960,plain,
( s4(A)
| ~ l1(A,d) ),
inference(resolution,[status(thm)],[168820768,182262576]),
[] ).
fof(axiom_34,plain,
n0(c,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),
[] ).
cnf(165068544,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/SYN195-1.tptp',unknown),
[] ).
cnf(165107224,plain,
( l1(A,A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_002]),
[] ).
cnf(182166936,plain,
l1(d,d),
inference(resolution,[status(thm)],[165068544,165107224]),
[] ).
cnf(187613720,plain,
s4(d),
inference(resolution,[status(thm)],[187048960,182166936]),
[] ).
fof(rule_159,plain,
! [A] :
( p2(A,A,A)
| ~ k1(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),
[] ).
cnf(166885560,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/SYN195-1.tptp',unknown),
[] ).
cnf(165093768,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/SYN195-1.tptp',unknown),
[] ).
cnf(164903928,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(178314464,plain,
k1(e),
inference(resolution,[status(thm)],[165093768,164903928]),
[] ).
cnf(178450792,plain,
p2(e,e,e),
inference(resolution,[status(thm)],[166885560,178314464]),
[] ).
fof(rule_165,plain,
! [A,B,C] :
( p2(A,A,A)
| ~ q1(B,C,B)
| ~ p2(B,B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),
[] ).
cnf(166991520,plain,
( p2(A,A,A)
| ~ q1(B,C,B)
| ~ p2(B,B,C) ),
inference(rewrite,[status(thm)],[rule_165]),
[] ).
fof(rule_107,plain,
! [A] :
( q1(e,A,A)
| ~ m0(A,d,A)
| ~ m0(e,d,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),
[] ).
cnf(164996272,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(166254040,plain,
q1(e,A,A),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,164996272]),
[] ).
cnf(180972320,plain,
p2(A,A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[178450792,166991520,166254040]),
[] ).
fof(rule_240,plain,
! [A,B,C] :
( n3(A)
| ~ p2(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),
[] ).
cnf(167993024,plain,
( n3(A)
| ~ p2(B,C,A) ),
inference(rewrite,[status(thm)],[rule_240]),
[] ).
cnf(182252208,plain,
n3(A),
inference(resolution,[status(thm)],[180972320,167993024]),
[] ).
fof(rule_327,plain,
! [A,B] :
( r5(A,B)
| ~ s4(A)
| ~ k0(b)
| ~ n3(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),
[] ).
fof(axiom_32,plain,
k0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),
[] ).
cnf(165061088,plain,
k0(b),
inference(rewrite,[status(thm)],[axiom_32]),
[] ).
cnf(169208608,plain,
( r5(A,B)
| ~ s4(A)
| ~ n3(B) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_327,165061088]),
[] ).
cnf(183471208,plain,
( r5(B,A)
| ~ s4(B) ),
inference(resolution,[status(thm)],[182252208,169208608]),
[] ).
cnf(187689576,plain,
r5(d,A),
inference(resolution,[status(thm)],[187613720,183471208]),
[] ).
fof(prove_this,plain,
~ r5(d,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),
[] ).
cnf(169270384,plain,
~ r5(d,d),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[187689576,169270384]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 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/SYN195-1.tptp',unknown),[]).
%
% cnf(168820768,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/SYN195-1.tptp',unknown),[]).
%
% cnf(166576456,plain,(n2(A)|~p1(B,C,A)),inference(rewrite,[status(thm)],[rule_137]),[]).
%
% fof(rule_072,plain,(p1(A,A,A)|~s0(B)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),[]).
%
% cnf(165900064,plain,(p1(A,A,A)|~s0(B)|~s0(A)),inference(rewrite,[status(thm)],[rule_072]),[]).
%
% fof(axiom_1,plain,(s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),[]).
%
% cnf(164885456,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(177601424,plain,(p1(d,d,d)),inference(resolution,[status(thm)],[165900064,164885456]),[]).
%
% cnf(182220568,plain,(n2(d)),inference(resolution,[status(thm)],[166576456,177601424]),[]).
%
% fof(rule_244,plain,(p3(A,A,A)|~n2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),[]).
%
% cnf(168056552,plain,(p3(A,A,A)|~n2(A)),inference(rewrite,[status(thm)],[rule_244]),[]).
%
% cnf(182262576,plain,(p3(d,d,d)),inference(resolution,[status(thm)],[182220568,168056552]),[]).
%
% cnf(187048960,plain,(s4(A)|~l1(A,d)),inference(resolution,[status(thm)],[168820768,182262576]),[]).
%
% fof(axiom_34,plain,(n0(c,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),[]).
%
% cnf(165068544,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/SYN195-1.tptp',unknown),[]).
%
% cnf(165107224,plain,(l1(A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_002]),[]).
%
% cnf(182166936,plain,(l1(d,d)),inference(resolution,[status(thm)],[165068544,165107224]),[]).
%
% cnf(187613720,plain,(s4(d)),inference(resolution,[status(thm)],[187048960,182166936]),[]).
%
% fof(rule_159,plain,(p2(A,A,A)|~k1(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),[]).
%
% cnf(166885560,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/SYN195-1.tptp',unknown),[]).
%
% cnf(165093768,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/SYN195-1.tptp',unknown),[]).
%
% cnf(164903928,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(178314464,plain,(k1(e)),inference(resolution,[status(thm)],[165093768,164903928]),[]).
%
% cnf(178450792,plain,(p2(e,e,e)),inference(resolution,[status(thm)],[166885560,178314464]),[]).
%
% fof(rule_165,plain,(p2(A,A,A)|~q1(B,C,B)|~p2(B,B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),[]).
%
% cnf(166991520,plain,(p2(A,A,A)|~q1(B,C,B)|~p2(B,B,C)),inference(rewrite,[status(thm)],[rule_165]),[]).
%
% fof(rule_107,plain,(q1(e,A,A)|~m0(A,d,A)|~m0(e,d,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),[]).
%
% cnf(164996272,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(166254040,plain,(q1(e,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,164996272]),[]).
%
% cnf(180972320,plain,(p2(A,A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[178450792,166991520,166254040]),[]).
%
% fof(rule_240,plain,(n3(A)|~p2(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),[]).
%
% cnf(167993024,plain,(n3(A)|~p2(B,C,A)),inference(rewrite,[status(thm)],[rule_240]),[]).
%
% cnf(182252208,plain,(n3(A)),inference(resolution,[status(thm)],[180972320,167993024]),[]).
%
% fof(rule_327,plain,(r5(A,B)|~s4(A)|~k0(b)|~n3(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),[]).
%
% fof(axiom_32,plain,(k0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),[]).
%
% cnf(165061088,plain,(k0(b)),inference(rewrite,[status(thm)],[axiom_32]),[]).
%
% cnf(169208608,plain,(r5(A,B)|~s4(A)|~n3(B)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_327,165061088]),[]).
%
% cnf(183471208,plain,(r5(B,A)|~s4(B)),inference(resolution,[status(thm)],[182252208,169208608]),[]).
%
% cnf(187689576,plain,(r5(d,A)),inference(resolution,[status(thm)],[187613720,183471208]),[]).
%
% fof(prove_this,plain,(~r5(d,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN195-1.tptp',unknown),[]).
%
% cnf(169270384,plain,(~r5(d,d)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[187689576,169270384]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------