TSTP Solution File: SYN180-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN180-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.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 17:07:55 EDT 2009
% Result : Unsatisfiable 347.4s
% Output : Refutation 347.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 18
% Syntax : Number of formulae : 51 ( 25 unt; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 96 ( 50 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 60 ( 13 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_177,plain,
! [A,B] :
( q2(A,B,B)
| ~ k0(B)
| ~ p1(A,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),
[] ).
cnf(149280192,plain,
( q2(A,B,B)
| ~ k0(B)
| ~ p1(A,A,A) ),
inference(rewrite,[status(thm)],[rule_177]),
[] ).
fof(rule_085,plain,
! [A,B] :
( p1(A,A,A)
| ~ p0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),
[] ).
cnf(148201168,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/SYN180-1.tptp',unknown),
[] ).
cnf(147139520,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(161461312,plain,
p1(A,A,A),
inference(resolution,[status(thm)],[148201168,147139520]),
[] ).
cnf(163790312,plain,
( q2(A,B,B)
| ~ k0(B) ),
inference(resolution,[status(thm)],[149280192,161461312]),
[] ).
fof(rule_187,plain,
! [A,B,C,D] :
( q2(A,B,A)
| ~ r1(B)
| ~ m0(C,D,A)
| ~ k0(B)
| ~ q2(B,B,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),
[] ).
cnf(149437320,plain,
( q2(A,B,A)
| ~ r1(B)
| ~ m0(C,D,A)
| ~ k0(B)
| ~ q2(B,B,B) ),
inference(rewrite,[status(thm)],[rule_187]),
[] ).
fof(rule_097,plain,
! [A] :
( q1(A,A,A)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),
[] ).
cnf(148323664,plain,
( q1(A,A,A)
| ~ s0(A) ),
inference(rewrite,[status(thm)],[rule_097]),
[] ).
fof(axiom_1,plain,
s0(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),
[] ).
cnf(147051472,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(149471144,plain,
q1(d,d,d),
inference(resolution,[status(thm)],[148323664,147051472]),
[] ).
fof(rule_124,plain,
! [A,B] :
( r1(A)
| ~ q0(A,B)
| ~ s0(d)
| ~ q1(d,B,d) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),
[] ).
cnf(148554576,plain,
( r1(A)
| ~ q0(A,B)
| ~ q1(d,B,d) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,147051472]),
[] ).
fof(axiom_17,plain,
! [A] : q0(A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),
[] ).
cnf(147154808,plain,
q0(A,d),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
cnf(161752392,plain,
r1(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[149471144,148554576,147154808]),
[] ).
cnf(161978728,plain,
( q2(A,B,A)
| ~ m0(C,D,A)
| ~ k0(B)
| ~ q2(B,B,B) ),
inference(resolution,[status(thm)],[149437320,161752392]),
[] ).
fof(axiom_4,plain,
m0(e,d,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),
[] ).
cnf(147081104,plain,
m0(e,d,a),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
cnf(153803397,plain,
( q2(a,A,a)
| ~ k0(A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[163790312,161978728,147081104]),
[] ).
fof(axiom_28,plain,
k0(e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),
[] ).
cnf(147205080,plain,
k0(e),
inference(rewrite,[status(thm)],[axiom_28]),
[] ).
cnf(153804848,plain,
q2(a,e,a),
inference(resolution,[status(thm)],[153803397,147205080]),
[] ).
fof(rule_295,plain,
! [A,B,C,D,E] :
( q4(A,B)
| ~ k3(C,C,A)
| ~ q2(D,B,A)
| ~ m3(D,E,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),
[] ).
cnf(150920080,plain,
( q4(A,B)
| ~ k3(C,C,A)
| ~ q2(D,B,A)
| ~ m3(D,E,D) ),
inference(rewrite,[status(thm)],[rule_295]),
[] ).
fof(prove_this,plain,
~ q4(a,e),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),
[] ).
cnf(151435720,plain,
~ q4(a,e),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(163366032,plain,
( ~ k3(A,A,a)
| ~ q2(B,e,a)
| ~ m3(B,C,B) ),
inference(resolution,[status(thm)],[150920080,151435720]),
[] ).
fof(rule_236,plain,
! [A] :
( m3(A,A,A)
| ~ n2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),
[] ).
cnf(150111408,plain,
( m3(A,A,A)
| ~ n2(A) ),
inference(rewrite,[status(thm)],[rule_236]),
[] ).
fof(rule_137,plain,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),
[] ).
cnf(148742472,plain,
( n2(A)
| ~ p1(B,C,A) ),
inference(rewrite,[status(thm)],[rule_137]),
[] ).
fof(rule_075,plain,
( p1(a,a,a)
| ~ p0(b,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),
[] ).
cnf(148072168,plain,
p1(a,a,a),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,147139520]),
[] ).
cnf(163147040,plain,
n2(a),
inference(resolution,[status(thm)],[148742472,148072168]),
[] ).
cnf(163255896,plain,
m3(a,a,a),
inference(resolution,[status(thm)],[150111408,163147040]),
[] ).
cnf(184740989,plain,
~ k3(A,A,a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[153804848,163366032,163255896]),
[] ).
fof(rule_204,plain,
( k3(a,a,a)
| ~ r2(a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),
[] ).
cnf(149692056,plain,
( k3(a,a,a)
| ~ r2(a) ),
inference(rewrite,[status(thm)],[rule_204]),
[] ).
fof(rule_188,plain,
! [A] :
( r2(A)
| ~ r1(A)
| ~ l0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),
[] ).
cnf(149451248,plain,
( r2(A)
| ~ r1(A)
| ~ l0(A) ),
inference(rewrite,[status(thm)],[rule_188]),
[] ).
cnf(161894328,plain,
( r2(A)
| ~ l0(A) ),
inference(resolution,[status(thm)],[149451248,161752392]),
[] ).
fof(axiom_20,plain,
l0(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),
[] ).
cnf(147166648,plain,
l0(a),
inference(rewrite,[status(thm)],[axiom_20]),
[] ).
cnf(161904776,plain,
r2(a),
inference(resolution,[status(thm)],[161894328,147166648]),
[] ).
cnf(162012328,plain,
k3(a,a,a),
inference(resolution,[status(thm)],[149692056,161904776]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[184740989,162012328]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 447 seconds
% START OF PROOF SEQUENCE
% fof(rule_177,plain,(q2(A,B,B)|~k0(B)|~p1(A,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),[]).
%
% cnf(149280192,plain,(q2(A,B,B)|~k0(B)|~p1(A,A,A)),inference(rewrite,[status(thm)],[rule_177]),[]).
%
% fof(rule_085,plain,(p1(A,A,A)|~p0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),[]).
%
% cnf(148201168,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/SYN180-1.tptp',unknown),[]).
%
% cnf(147139520,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(161461312,plain,(p1(A,A,A)),inference(resolution,[status(thm)],[148201168,147139520]),[]).
%
% cnf(163790312,plain,(q2(A,B,B)|~k0(B)),inference(resolution,[status(thm)],[149280192,161461312]),[]).
%
% fof(rule_187,plain,(q2(A,B,A)|~r1(B)|~m0(C,D,A)|~k0(B)|~q2(B,B,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),[]).
%
% cnf(149437320,plain,(q2(A,B,A)|~r1(B)|~m0(C,D,A)|~k0(B)|~q2(B,B,B)),inference(rewrite,[status(thm)],[rule_187]),[]).
%
% fof(rule_097,plain,(q1(A,A,A)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),[]).
%
% cnf(148323664,plain,(q1(A,A,A)|~s0(A)),inference(rewrite,[status(thm)],[rule_097]),[]).
%
% fof(axiom_1,plain,(s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),[]).
%
% cnf(147051472,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(149471144,plain,(q1(d,d,d)),inference(resolution,[status(thm)],[148323664,147051472]),[]).
%
% fof(rule_124,plain,(r1(A)|~q0(A,B)|~s0(d)|~q1(d,B,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),[]).
%
% cnf(148554576,plain,(r1(A)|~q0(A,B)|~q1(d,B,d)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,147051472]),[]).
%
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),[]).
%
% cnf(147154808,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% cnf(161752392,plain,(r1(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[149471144,148554576,147154808]),[]).
%
% cnf(161978728,plain,(q2(A,B,A)|~m0(C,D,A)|~k0(B)|~q2(B,B,B)),inference(resolution,[status(thm)],[149437320,161752392]),[]).
%
% fof(axiom_4,plain,(m0(e,d,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),[]).
%
% cnf(147081104,plain,(m0(e,d,a)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% cnf(153803397,plain,(q2(a,A,a)|~k0(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[163790312,161978728,147081104]),[]).
%
% fof(axiom_28,plain,(k0(e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),[]).
%
% cnf(147205080,plain,(k0(e)),inference(rewrite,[status(thm)],[axiom_28]),[]).
%
% cnf(153804848,plain,(q2(a,e,a)),inference(resolution,[status(thm)],[153803397,147205080]),[]).
%
% fof(rule_295,plain,(q4(A,B)|~k3(C,C,A)|~q2(D,B,A)|~m3(D,E,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),[]).
%
% cnf(150920080,plain,(q4(A,B)|~k3(C,C,A)|~q2(D,B,A)|~m3(D,E,D)),inference(rewrite,[status(thm)],[rule_295]),[]).
%
% fof(prove_this,plain,(~q4(a,e)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),[]).
%
% cnf(151435720,plain,(~q4(a,e)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(163366032,plain,(~k3(A,A,a)|~q2(B,e,a)|~m3(B,C,B)),inference(resolution,[status(thm)],[150920080,151435720]),[]).
%
% fof(rule_236,plain,(m3(A,A,A)|~n2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),[]).
%
% cnf(150111408,plain,(m3(A,A,A)|~n2(A)),inference(rewrite,[status(thm)],[rule_236]),[]).
%
% fof(rule_137,plain,(n2(A)|~p1(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),[]).
%
% cnf(148742472,plain,(n2(A)|~p1(B,C,A)),inference(rewrite,[status(thm)],[rule_137]),[]).
%
% fof(rule_075,plain,(p1(a,a,a)|~p0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),[]).
%
% cnf(148072168,plain,(p1(a,a,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,147139520]),[]).
%
% cnf(163147040,plain,(n2(a)),inference(resolution,[status(thm)],[148742472,148072168]),[]).
%
% cnf(163255896,plain,(m3(a,a,a)),inference(resolution,[status(thm)],[150111408,163147040]),[]).
%
% cnf(184740989,plain,(~k3(A,A,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[153804848,163366032,163255896]),[]).
%
% fof(rule_204,plain,(k3(a,a,a)|~r2(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),[]).
%
% cnf(149692056,plain,(k3(a,a,a)|~r2(a)),inference(rewrite,[status(thm)],[rule_204]),[]).
%
% fof(rule_188,plain,(r2(A)|~r1(A)|~l0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),[]).
%
% cnf(149451248,plain,(r2(A)|~r1(A)|~l0(A)),inference(rewrite,[status(thm)],[rule_188]),[]).
%
% cnf(161894328,plain,(r2(A)|~l0(A)),inference(resolution,[status(thm)],[149451248,161752392]),[]).
%
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN180-1.tptp',unknown),[]).
%
% cnf(147166648,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
%
% cnf(161904776,plain,(r2(a)),inference(resolution,[status(thm)],[161894328,147166648]),[]).
%
% cnf(162012328,plain,(k3(a,a,a)),inference(resolution,[status(thm)],[149692056,161904776]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[184740989,162012328]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------