TSTP Solution File: SYN192-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN192-1 : 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 17:11:17 EDT 2009
% Result : Unsatisfiable 0.7s
% Output : Refutation 0.7s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of formulae : 56 ( 26 unt; 0 def)
% Number of atoms : 110 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 113 ( 59 ~; 54 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 84 ( 27 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(rule_126,plain,
! [A,B,C] :
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),
[] ).
cnf(178696792,plain,
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
inference(rewrite,[status(thm)],[rule_126]),
[] ).
fof(rule_125,plain,
! [A] :
( s1(A)
| ~ p0(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),
[] ).
cnf(178684656,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/SYN192-1.tptp',unknown),
[] ).
cnf(177257408,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(191405632,plain,
s1(b),
inference(resolution,[status(thm)],[178684656,177257408]),
[] ).
cnf(191717672,plain,
( s1(A)
| ~ q0(A,B) ),
inference(resolution,[status(thm)],[178696792,191405632]),
[] ).
fof(axiom_17,plain,
! [A] : q0(A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),
[] ).
cnf(177272696,plain,
q0(A,d),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
cnf(191971112,plain,
s1(A),
inference(resolution,[status(thm)],[191717672,177272696]),
[] ).
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/SYN192-1.tptp',unknown),
[] ).
cnf(178801632,plain,
( l2(A,A)
| ~ p0(B,B)
| ~ s1(C)
| ~ m0(D,C,A) ),
inference(rewrite,[status(thm)],[rule_133]),
[] ).
cnf(191608368,plain,
( l2(A,A)
| ~ s1(B)
| ~ m0(C,B,A) ),
inference(resolution,[status(thm)],[178801632,177257408]),
[] ).
fof(axiom_4,plain,
m0(e,d,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),
[] ).
cnf(177198992,plain,
m0(e,d,a),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
cnf(202014576,plain,
l2(a,a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[191971112,191608368,177198992]),
[] ).
fof(rule_097,plain,
! [A] :
( q1(A,A,A)
| ~ s0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),
[] ).
cnf(178441552,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/SYN192-1.tptp',unknown),
[] ).
cnf(177169360,plain,
s0(d),
inference(rewrite,[status(thm)],[axiom_1]),
[] ).
cnf(189851704,plain,
q1(d,d,d),
inference(resolution,[status(thm)],[178441552,177169360]),
[] ).
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/SYN192-1.tptp',unknown),
[] ).
cnf(178672472,plain,
( r1(A)
| ~ q0(A,B)
| ~ q1(d,B,d) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,177169360]),
[] ).
cnf(191976368,plain,
r1(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[189851704,178672472,177272696]),
[] ).
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/SYN192-1.tptp',unknown),
[] ).
cnf(180521272,plain,
( q3(A,A)
| ~ r2(A)
| ~ s1(B)
| ~ l2(C,C) ),
inference(rewrite,[status(thm)],[rule_258]),
[] ).
cnf(191769712,plain,
( q3(A,A)
| ~ r2(A)
| ~ l2(B,B) ),
inference(resolution,[status(thm)],[180521272,191405632]),
[] ).
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/SYN192-1.tptp',unknown),
[] ).
cnf(181090344,plain,
( r4(A)
| ~ n3(A)
| ~ q3(B,C)
| ~ p0(D,A) ),
inference(rewrite,[status(thm)],[rule_298]),
[] ).
cnf(191518144,plain,
( r4(A)
| ~ n3(A)
| ~ q3(B,C) ),
inference(resolution,[status(thm)],[181090344,177257408]),
[] ).
fof(rule_110,plain,
! [A,B,C] :
( q1(A,A,A)
| ~ m0(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),
[] ).
cnf(178571000,plain,
( q1(A,A,A)
| ~ m0(B,C,A) ),
inference(rewrite,[status(thm)],[rule_110]),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),
[] ).
cnf(177280176,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(193020400,plain,
q1(A,A,A),
inference(resolution,[status(thm)],[178571000,177280176]),
[] ).
fof(rule_169,plain,
! [A,B,C] :
( p2(A,A,A)
| ~ q1(B,B,B)
| ~ p1(A,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),
[] ).
cnf(179322640,plain,
( p2(A,A,A)
| ~ q1(B,B,B)
| ~ p1(A,C,A) ),
inference(rewrite,[status(thm)],[rule_169]),
[] ).
fof(rule_075,plain,
( p1(a,a,a)
| ~ p0(b,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),
[] ).
cnf(178190056,plain,
p1(a,a,a),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,177257408]),
[] ).
cnf(193676384,plain,
p2(a,a,a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[193020400,179322640,178190056]),
[] ).
fof(rule_240,plain,
! [A,B,C] :
( n3(A)
| ~ p2(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),
[] ).
cnf(180276944,plain,
( n3(A)
| ~ p2(B,C,A) ),
inference(rewrite,[status(thm)],[rule_240]),
[] ).
cnf(193987520,plain,
n3(a),
inference(resolution,[status(thm)],[193676384,180276944]),
[] ).
cnf(196219896,plain,
( r4(a)
| ~ q3(A,B) ),
inference(resolution,[status(thm)],[191518144,193987520]),
[] ).
fof(prove_this,plain,
~ r4(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),
[] ).
cnf(181554288,plain,
~ r4(a),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(196321688,plain,
~ q3(A,B),
inference(resolution,[status(thm)],[196219896,181554288]),
[] ).
cnf(197125008,plain,
( ~ r2(A)
| ~ l2(B,B) ),
inference(resolution,[status(thm)],[191769712,196321688]),
[] ).
fof(rule_188,plain,
! [A] :
( r2(A)
| ~ r1(A)
| ~ l0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),
[] ).
cnf(179569128,plain,
( r2(A)
| ~ r1(A)
| ~ l0(A) ),
inference(rewrite,[status(thm)],[rule_188]),
[] ).
fof(axiom_20,plain,
l0(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),
[] ).
cnf(177284536,plain,
l0(a),
inference(rewrite,[status(thm)],[axiom_20]),
[] ).
cnf(190235456,plain,
( r2(a)
| ~ r1(a) ),
inference(resolution,[status(thm)],[179569128,177284536]),
[] ).
cnf(197132160,plain,
~ l2(A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[191976368,197125008,190235456]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[202014576,197132160]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(rule_126,plain,(s1(A)|~q0(A,B)|~s1(C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),[]).
%
% cnf(178696792,plain,(s1(A)|~q0(A,B)|~s1(C)),inference(rewrite,[status(thm)],[rule_126]),[]).
%
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),[]).
%
% cnf(178684656,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/SYN192-1.tptp',unknown),[]).
%
% cnf(177257408,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(191405632,plain,(s1(b)),inference(resolution,[status(thm)],[178684656,177257408]),[]).
%
% cnf(191717672,plain,(s1(A)|~q0(A,B)),inference(resolution,[status(thm)],[178696792,191405632]),[]).
%
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),[]).
%
% cnf(177272696,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% cnf(191971112,plain,(s1(A)),inference(resolution,[status(thm)],[191717672,177272696]),[]).
%
% 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/SYN192-1.tptp',unknown),[]).
%
% cnf(178801632,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),inference(rewrite,[status(thm)],[rule_133]),[]).
%
% cnf(191608368,plain,(l2(A,A)|~s1(B)|~m0(C,B,A)),inference(resolution,[status(thm)],[178801632,177257408]),[]).
%
% fof(axiom_4,plain,(m0(e,d,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),[]).
%
% cnf(177198992,plain,(m0(e,d,a)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% cnf(202014576,plain,(l2(a,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[191971112,191608368,177198992]),[]).
%
% fof(rule_097,plain,(q1(A,A,A)|~s0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),[]).
%
% cnf(178441552,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/SYN192-1.tptp',unknown),[]).
%
% cnf(177169360,plain,(s0(d)),inference(rewrite,[status(thm)],[axiom_1]),[]).
%
% cnf(189851704,plain,(q1(d,d,d)),inference(resolution,[status(thm)],[178441552,177169360]),[]).
%
% fof(rule_124,plain,(r1(A)|~q0(A,B)|~s0(d)|~q1(d,B,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),[]).
%
% cnf(178672472,plain,(r1(A)|~q0(A,B)|~q1(d,B,d)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_124,177169360]),[]).
%
% cnf(191976368,plain,(r1(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[189851704,178672472,177272696]),[]).
%
% fof(rule_258,plain,(q3(A,A)|~r2(A)|~s1(B)|~l2(C,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),[]).
%
% cnf(180521272,plain,(q3(A,A)|~r2(A)|~s1(B)|~l2(C,C)),inference(rewrite,[status(thm)],[rule_258]),[]).
%
% cnf(191769712,plain,(q3(A,A)|~r2(A)|~l2(B,B)),inference(resolution,[status(thm)],[180521272,191405632]),[]).
%
% fof(rule_298,plain,(r4(A)|~n3(A)|~q3(B,C)|~p0(D,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),[]).
%
% cnf(181090344,plain,(r4(A)|~n3(A)|~q3(B,C)|~p0(D,A)),inference(rewrite,[status(thm)],[rule_298]),[]).
%
% cnf(191518144,plain,(r4(A)|~n3(A)|~q3(B,C)),inference(resolution,[status(thm)],[181090344,177257408]),[]).
%
% fof(rule_110,plain,(q1(A,A,A)|~m0(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),[]).
%
% cnf(178571000,plain,(q1(A,A,A)|~m0(B,C,A)),inference(rewrite,[status(thm)],[rule_110]),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),[]).
%
% cnf(177280176,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(193020400,plain,(q1(A,A,A)),inference(resolution,[status(thm)],[178571000,177280176]),[]).
%
% fof(rule_169,plain,(p2(A,A,A)|~q1(B,B,B)|~p1(A,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),[]).
%
% cnf(179322640,plain,(p2(A,A,A)|~q1(B,B,B)|~p1(A,C,A)),inference(rewrite,[status(thm)],[rule_169]),[]).
%
% fof(rule_075,plain,(p1(a,a,a)|~p0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),[]).
%
% cnf(178190056,plain,(p1(a,a,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,177257408]),[]).
%
% cnf(193676384,plain,(p2(a,a,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[193020400,179322640,178190056]),[]).
%
% fof(rule_240,plain,(n3(A)|~p2(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),[]).
%
% cnf(180276944,plain,(n3(A)|~p2(B,C,A)),inference(rewrite,[status(thm)],[rule_240]),[]).
%
% cnf(193987520,plain,(n3(a)),inference(resolution,[status(thm)],[193676384,180276944]),[]).
%
% cnf(196219896,plain,(r4(a)|~q3(A,B)),inference(resolution,[status(thm)],[191518144,193987520]),[]).
%
% fof(prove_this,plain,(~r4(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),[]).
%
% cnf(181554288,plain,(~r4(a)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(196321688,plain,(~q3(A,B)),inference(resolution,[status(thm)],[196219896,181554288]),[]).
%
% cnf(197125008,plain,(~r2(A)|~l2(B,B)),inference(resolution,[status(thm)],[191769712,196321688]),[]).
%
% fof(rule_188,plain,(r2(A)|~r1(A)|~l0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),[]).
%
% cnf(179569128,plain,(r2(A)|~r1(A)|~l0(A)),inference(rewrite,[status(thm)],[rule_188]),[]).
%
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN192-1.tptp',unknown),[]).
%
% cnf(177284536,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
%
% cnf(190235456,plain,(r2(a)|~r1(a)),inference(resolution,[status(thm)],[179569128,177284536]),[]).
%
% cnf(197132160,plain,(~l2(A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[191976368,197125008,190235456]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[202014576,197132160]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------