TSTP Solution File: SYN193-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN193-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art06.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 17:11:21 EDT 2009
% Result : Unsatisfiable 0.6s
% Output : Refutation 0.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 21
% Syntax : Number of formulae : 62 ( 29 unt; 0 def)
% Number of atoms : 120 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 122 ( 64 ~; 58 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 91 ( 29 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_17,plain,
! [A] : q0(A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),
[] ).
cnf(158274624,plain,
q0(A,d),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
fof(rule_126,plain,
! [A,B,C] :
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),
[] ).
cnf(159698712,plain,
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
inference(rewrite,[status(thm)],[rule_126]),
[] ).
cnf(176026304,plain,
( s1(A)
| ~ s1(B) ),
inference(resolution,[status(thm)],[158274624,159698712]),
[] ).
fof(rule_125,plain,
! [A] :
( s1(A)
| ~ p0(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),
[] ).
cnf(159686568,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/SYN193-1.tptp',unknown),
[] ).
cnf(158259336,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(172198536,plain,
s1(b),
inference(resolution,[status(thm)],[159686568,158259336]),
[] ).
cnf(176030696,plain,
s1(A),
inference(resolution,[status(thm)],[176026304,172198536]),
[] ).
fof(rule_133,plain,
! [A,B,C,D] :
( l2(A,A)
| ~ p0(B,B)
| ~ s1(C)
| ~ m0(D,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),
[] ).
cnf(159807656,plain,
( l2(A,A)
| ~ p0(B,B)
| ~ s1(C)
| ~ m0(D,C,A) ),
inference(rewrite,[status(thm)],[rule_133]),
[] ).
cnf(172369080,plain,
( l2(A,A)
| ~ s1(B)
| ~ m0(C,B,A) ),
inference(resolution,[status(thm)],[159807656,158259336]),
[] ).
fof(axiom_4,plain,
m0(e,d,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),
[] ).
cnf(158200920,plain,
m0(e,d,a),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
cnf(181412080,plain,
l2(a,a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[176030696,172369080,158200920]),
[] ).
fof(rule_258,plain,
! [A,B,C] :
( q3(A,A)
| ~ r2(A)
| ~ s1(B)
| ~ l2(C,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),
[] ).
cnf(161523184,plain,
( q3(A,A)
| ~ r2(A)
| ~ s1(B)
| ~ l2(C,C) ),
inference(rewrite,[status(thm)],[rule_258]),
[] ).
cnf(172490600,plain,
( q3(A,A)
| ~ r2(A)
| ~ l2(B,B) ),
inference(resolution,[status(thm)],[161523184,172198536]),
[] ).
fof(prove_this,plain,
~ r4(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),
[] ).
cnf(160591008,plain,
~ r4(b),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(rule_159,plain,
! [A] :
( p2(A,A,A)
| ~ k1(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),
[] ).
cnf(160171392,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/SYN193-1.tptp',unknown),
[] ).
cnf(158379600,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/SYN193-1.tptp',unknown),
[] ).
cnf(158189760,plain,
n0(d,e),
inference(rewrite,[status(thm)],[axiom_3]),
[] ).
cnf(171619008,plain,
k1(e),
inference(resolution,[status(thm)],[158379600,158189760]),
[] ).
cnf(171756128,plain,
p2(e,e,e),
inference(resolution,[status(thm)],[160171392,171619008]),
[] ).
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/SYN193-1.tptp',unknown),
[] ).
cnf(160277352,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/SYN193-1.tptp',unknown),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),
[] ).
cnf(158282104,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(159539872,plain,
q1(e,A,A),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,158282104]),
[] ).
cnf(174072912,plain,
p2(A,A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[171756128,160277352,159539872]),
[] ).
fof(rule_240,plain,
! [A,B,C] :
( n3(A)
| ~ p2(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),
[] ).
cnf(161278856,plain,
( n3(A)
| ~ p2(B,C,A) ),
inference(rewrite,[status(thm)],[rule_240]),
[] ).
cnf(175014072,plain,
n3(A),
inference(resolution,[status(thm)],[174072912,161278856]),
[] ).
fof(rule_298,plain,
! [A,B,C,D] :
( r4(A)
| ~ n3(A)
| ~ q3(B,C)
| ~ p0(D,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),
[] ).
cnf(162092256,plain,
( r4(A)
| ~ n3(A)
| ~ q3(B,C)
| ~ p0(D,A) ),
inference(rewrite,[status(thm)],[rule_298]),
[] ).
cnf(172304456,plain,
( r4(A)
| ~ n3(A)
| ~ q3(B,C) ),
inference(resolution,[status(thm)],[162092256,158259336]),
[] ).
cnf(176899392,plain,
( r4(A)
| ~ q3(B,C) ),
inference(resolution,[status(thm)],[175014072,172304456]),
[] ).
cnf(176961272,plain,
~ q3(A,B),
inference(resolution,[status(thm)],[160591008,176899392]),
[] ).
cnf(177863264,plain,
( ~ r2(A)
| ~ l2(B,B) ),
inference(resolution,[status(thm)],[172490600,176961272]),
[] ).
fof(rule_188,plain,
! [A] :
( r2(A)
| ~ r1(A)
| ~ l0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),
[] ).
cnf(160571064,plain,
( r2(A)
| ~ r1(A)
| ~ l0(A) ),
inference(rewrite,[status(thm)],[rule_188]),
[] ).
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/SYN193-1.tptp',unknown),
[] ).
fof(axiom_1,plain,
s0(d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),
[] ).
cnf(158171288,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(159674392,plain,
( r1(A)
| ~ q0(A,B)
| ~ q1(d,B,d) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,158171288]),
[] ).
fof(rule_097,plain,
! [A] :
( q1(A,A,A)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),
[] ).
cnf(159443480,plain,
( q1(A,A,A)
| ~ s0(A) ),
inference(rewrite,[status(thm)],[rule_097]),
[] ).
cnf(170853672,plain,
q1(d,d,d),
inference(resolution,[status(thm)],[159443480,158171288]),
[] ).
cnf(174131432,plain,
r1(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[158274624,159674392,170853672]),
[] ).
cnf(175512808,plain,
( r2(A)
| ~ l0(A) ),
inference(resolution,[status(thm)],[160571064,174131432]),
[] ).
cnf(177951080,plain,
( ~ l2(B,B)
| ~ l0(A) ),
inference(resolution,[status(thm)],[177863264,175512808]),
[] ).
fof(axiom_20,plain,
l0(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),
[] ).
cnf(158286464,plain,
l0(a),
inference(rewrite,[status(thm)],[axiom_20]),
[] ).
cnf(178301480,plain,
~ l2(A,A),
inference(resolution,[status(thm)],[177951080,158286464]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[181412080,178301480]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),[]).
%
% cnf(158274624,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% fof(rule_126,plain,(s1(A)|~q0(A,B)|~s1(C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),[]).
%
% cnf(159698712,plain,(s1(A)|~q0(A,B)|~s1(C)),inference(rewrite,[status(thm)],[rule_126]),[]).
%
% cnf(176026304,plain,(s1(A)|~s1(B)),inference(resolution,[status(thm)],[158274624,159698712]),[]).
%
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),[]).
%
% cnf(159686568,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/SYN193-1.tptp',unknown),[]).
%
% cnf(158259336,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(172198536,plain,(s1(b)),inference(resolution,[status(thm)],[159686568,158259336]),[]).
%
% cnf(176030696,plain,(s1(A)),inference(resolution,[status(thm)],[176026304,172198536]),[]).
%
% fof(rule_133,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),[]).
%
% cnf(159807656,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),inference(rewrite,[status(thm)],[rule_133]),[]).
%
% cnf(172369080,plain,(l2(A,A)|~s1(B)|~m0(C,B,A)),inference(resolution,[status(thm)],[159807656,158259336]),[]).
%
% fof(axiom_4,plain,(m0(e,d,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),[]).
%
% cnf(158200920,plain,(m0(e,d,a)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% cnf(181412080,plain,(l2(a,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[176030696,172369080,158200920]),[]).
%
% fof(rule_258,plain,(q3(A,A)|~r2(A)|~s1(B)|~l2(C,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),[]).
%
% cnf(161523184,plain,(q3(A,A)|~r2(A)|~s1(B)|~l2(C,C)),inference(rewrite,[status(thm)],[rule_258]),[]).
%
% cnf(172490600,plain,(q3(A,A)|~r2(A)|~l2(B,B)),inference(resolution,[status(thm)],[161523184,172198536]),[]).
%
% fof(prove_this,plain,(~r4(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),[]).
%
% cnf(160591008,plain,(~r4(b)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(rule_159,plain,(p2(A,A,A)|~k1(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),[]).
%
% cnf(160171392,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/SYN193-1.tptp',unknown),[]).
%
% cnf(158379600,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/SYN193-1.tptp',unknown),[]).
%
% cnf(158189760,plain,(n0(d,e)),inference(rewrite,[status(thm)],[axiom_3]),[]).
%
% cnf(171619008,plain,(k1(e)),inference(resolution,[status(thm)],[158379600,158189760]),[]).
%
% cnf(171756128,plain,(p2(e,e,e)),inference(resolution,[status(thm)],[160171392,171619008]),[]).
%
% 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/SYN193-1.tptp',unknown),[]).
%
% cnf(160277352,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/SYN193-1.tptp',unknown),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),[]).
%
% cnf(158282104,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(159539872,plain,(q1(e,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,158282104]),[]).
%
% cnf(174072912,plain,(p2(A,A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[171756128,160277352,159539872]),[]).
%
% fof(rule_240,plain,(n3(A)|~p2(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),[]).
%
% cnf(161278856,plain,(n3(A)|~p2(B,C,A)),inference(rewrite,[status(thm)],[rule_240]),[]).
%
% cnf(175014072,plain,(n3(A)),inference(resolution,[status(thm)],[174072912,161278856]),[]).
%
% fof(rule_298,plain,(r4(A)|~n3(A)|~q3(B,C)|~p0(D,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),[]).
%
% cnf(162092256,plain,(r4(A)|~n3(A)|~q3(B,C)|~p0(D,A)),inference(rewrite,[status(thm)],[rule_298]),[]).
%
% cnf(172304456,plain,(r4(A)|~n3(A)|~q3(B,C)),inference(resolution,[status(thm)],[162092256,158259336]),[]).
%
% cnf(176899392,plain,(r4(A)|~q3(B,C)),inference(resolution,[status(thm)],[175014072,172304456]),[]).
%
% cnf(176961272,plain,(~q3(A,B)),inference(resolution,[status(thm)],[160591008,176899392]),[]).
%
% cnf(177863264,plain,(~r2(A)|~l2(B,B)),inference(resolution,[status(thm)],[172490600,176961272]),[]).
%
% fof(rule_188,plain,(r2(A)|~r1(A)|~l0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),[]).
%
% cnf(160571064,plain,(r2(A)|~r1(A)|~l0(A)),inference(rewrite,[status(thm)],[rule_188]),[]).
%
% fof(rule_124,plain,(r1(A)|~q0(A,B)|~s0(d)|~q1(d,B,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),[]).
%
% fof(axiom_1,plain,(s0(d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),[]).
%
% cnf(158171288,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(159674392,plain,(r1(A)|~q0(A,B)|~q1(d,B,d)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,158171288]),[]).
%
% fof(rule_097,plain,(q1(A,A,A)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),[]).
%
% cnf(159443480,plain,(q1(A,A,A)|~s0(A)),inference(rewrite,[status(thm)],[rule_097]),[]).
%
% cnf(170853672,plain,(q1(d,d,d)),inference(resolution,[status(thm)],[159443480,158171288]),[]).
%
% cnf(174131432,plain,(r1(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[158274624,159674392,170853672]),[]).
%
% cnf(175512808,plain,(r2(A)|~l0(A)),inference(resolution,[status(thm)],[160571064,174131432]),[]).
%
% cnf(177951080,plain,(~l2(B,B)|~l0(A)),inference(resolution,[status(thm)],[177863264,175512808]),[]).
%
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN193-1.tptp',unknown),[]).
%
% cnf(158286464,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
%
% cnf(178301480,plain,(~l2(A,A)),inference(resolution,[status(thm)],[177951080,158286464]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[181412080,178301480]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------