TSTP Solution File: SYN158-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN158-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.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 17:02:08 EDT 2009
% Result : Unsatisfiable 0.6s
% Output : Refutation 0.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 40 ( 20 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 : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 51 ( 15 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_this,plain,
~ n5(a,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN158-1.tptp',unknown),
[] ).
cnf(182351536,plain,
~ n5(a,a),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
fof(axiom_17,plain,
! [A] : q0(A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN158-1.tptp',unknown),
[] ).
cnf(178070616,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/SYN158-1.tptp',unknown),
[] ).
cnf(179494704,plain,
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
inference(rewrite,[status(thm)],[rule_126]),
[] ).
cnf(196533480,plain,
( s1(A)
| ~ s1(B) ),
inference(resolution,[status(thm)],[178070616,179494704]),
[] ).
fof(rule_125,plain,
! [A] :
( s1(A)
| ~ p0(A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN158-1.tptp',unknown),
[] ).
cnf(179482560,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/SYN158-1.tptp',unknown),
[] ).
cnf(178055328,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
cnf(192437096,plain,
s1(b),
inference(resolution,[status(thm)],[179482560,178055328]),
[] ).
cnf(196537888,plain,
s1(A),
inference(resolution,[status(thm)],[196533480,192437096]),
[] ).
fof(rule_316,plain,
! [A,B,C] :
( n5(A,A)
| ~ p4(B,A,A)
| ~ s1(A)
| ~ p4(b,b,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN158-1.tptp',unknown),
[] ).
cnf(182142552,plain,
( n5(A,A)
| ~ p4(B,A,A)
| ~ s1(A)
| ~ p4(b,b,C) ),
inference(rewrite,[status(thm)],[rule_316]),
[] ).
fof(rule_210,plain,
! [A] :
( k3(A,A,A)
| ~ n2(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN158-1.tptp',unknown),
[] ).
cnf(180663352,plain,
( k3(A,A,A)
| ~ n2(A) ),
inference(rewrite,[status(thm)],[rule_210]),
[] ).
fof(rule_137,plain,
! [A,B,C] :
( n2(A)
| ~ p1(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN158-1.tptp',unknown),
[] ).
cnf(179658280,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/SYN158-1.tptp',unknown),
[] ).
cnf(178987976,plain,
p1(a,a,a),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,178055328]),
[] ).
cnf(193936936,plain,
n2(a),
inference(resolution,[status(thm)],[179658280,178987976]),
[] ).
cnf(194006888,plain,
k3(a,a,a),
inference(resolution,[status(thm)],[180663352,193936936]),
[] ).
fof(rule_287,plain,
! [A,B] :
( p4(A,B,A)
| ~ k3(A,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN158-1.tptp',unknown),
[] ).
cnf(181723344,plain,
( p4(A,B,A)
| ~ k3(A,A,B) ),
inference(rewrite,[status(thm)],[rule_287]),
[] ).
cnf(197019240,plain,
p4(a,a,a),
inference(resolution,[status(thm)],[194006888,181723344]),
[] ).
cnf(201107952,plain,
( n5(a,a)
| ~ p4(b,b,A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[196537888,182142552,197019240]),
[] ).
fof(rule_194,plain,
! [A,B] :
( k3(A,A,B)
| ~ k2(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN158-1.tptp',unknown),
[] ).
cnf(180451968,plain,
( k3(A,A,B)
| ~ k2(B,A) ),
inference(rewrite,[status(thm)],[rule_194]),
[] ).
fof(rule_129,plain,
! [A,B] :
( k2(A,A)
| ~ q1(B,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN158-1.tptp',unknown),
[] ).
cnf(179546528,plain,
( k2(A,A)
| ~ q1(B,A,A) ),
inference(rewrite,[status(thm)],[rule_129]),
[] ).
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/SYN158-1.tptp',unknown),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN158-1.tptp',unknown),
[] ).
cnf(178078096,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(179335864,plain,
q1(e,A,A),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,178078096]),
[] ).
cnf(194114024,plain,
k2(A,A),
inference(resolution,[status(thm)],[179546528,179335864]),
[] ).
cnf(194132096,plain,
k3(A,A,A),
inference(resolution,[status(thm)],[180451968,194114024]),
[] ).
cnf(197023680,plain,
p4(A,A,A),
inference(resolution,[status(thm)],[194132096,181723344]),
[] ).
cnf(201114896,plain,
n5(a,a),
inference(resolution,[status(thm)],[201107952,197023680]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[182351536,201114896]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(prove_this,plain,(~n5(a,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN158-1.tptp',unknown),[]).
%
% cnf(182351536,plain,(~n5(a,a)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN158-1.tptp',unknown),[]).
%
% cnf(178070616,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/SYN158-1.tptp',unknown),[]).
%
% cnf(179494704,plain,(s1(A)|~q0(A,B)|~s1(C)),inference(rewrite,[status(thm)],[rule_126]),[]).
%
% cnf(196533480,plain,(s1(A)|~s1(B)),inference(resolution,[status(thm)],[178070616,179494704]),[]).
%
% fof(rule_125,plain,(s1(A)|~p0(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN158-1.tptp',unknown),[]).
%
% cnf(179482560,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/SYN158-1.tptp',unknown),[]).
%
% cnf(178055328,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% cnf(192437096,plain,(s1(b)),inference(resolution,[status(thm)],[179482560,178055328]),[]).
%
% cnf(196537888,plain,(s1(A)),inference(resolution,[status(thm)],[196533480,192437096]),[]).
%
% fof(rule_316,plain,(n5(A,A)|~p4(B,A,A)|~s1(A)|~p4(b,b,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN158-1.tptp',unknown),[]).
%
% cnf(182142552,plain,(n5(A,A)|~p4(B,A,A)|~s1(A)|~p4(b,b,C)),inference(rewrite,[status(thm)],[rule_316]),[]).
%
% fof(rule_210,plain,(k3(A,A,A)|~n2(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN158-1.tptp',unknown),[]).
%
% cnf(180663352,plain,(k3(A,A,A)|~n2(A)),inference(rewrite,[status(thm)],[rule_210]),[]).
%
% fof(rule_137,plain,(n2(A)|~p1(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN158-1.tptp',unknown),[]).
%
% cnf(179658280,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/SYN158-1.tptp',unknown),[]).
%
% cnf(178987976,plain,(p1(a,a,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,178055328]),[]).
%
% cnf(193936936,plain,(n2(a)),inference(resolution,[status(thm)],[179658280,178987976]),[]).
%
% cnf(194006888,plain,(k3(a,a,a)),inference(resolution,[status(thm)],[180663352,193936936]),[]).
%
% fof(rule_287,plain,(p4(A,B,A)|~k3(A,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN158-1.tptp',unknown),[]).
%
% cnf(181723344,plain,(p4(A,B,A)|~k3(A,A,B)),inference(rewrite,[status(thm)],[rule_287]),[]).
%
% cnf(197019240,plain,(p4(a,a,a)),inference(resolution,[status(thm)],[194006888,181723344]),[]).
%
% cnf(201107952,plain,(n5(a,a)|~p4(b,b,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[196537888,182142552,197019240]),[]).
%
% fof(rule_194,plain,(k3(A,A,B)|~k2(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN158-1.tptp',unknown),[]).
%
% cnf(180451968,plain,(k3(A,A,B)|~k2(B,A)),inference(rewrite,[status(thm)],[rule_194]),[]).
%
% fof(rule_129,plain,(k2(A,A)|~q1(B,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN158-1.tptp',unknown),[]).
%
% cnf(179546528,plain,(k2(A,A)|~q1(B,A,A)),inference(rewrite,[status(thm)],[rule_129]),[]).
%
% 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/SYN158-1.tptp',unknown),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN158-1.tptp',unknown),[]).
%
% cnf(178078096,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(179335864,plain,(q1(e,A,A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_107,178078096]),[]).
%
% cnf(194114024,plain,(k2(A,A)),inference(resolution,[status(thm)],[179546528,179335864]),[]).
%
% cnf(194132096,plain,(k3(A,A,A)),inference(resolution,[status(thm)],[180451968,194114024]),[]).
%
% cnf(197023680,plain,(p4(A,A,A)),inference(resolution,[status(thm)],[194132096,181723344]),[]).
%
% cnf(201114896,plain,(n5(a,a)),inference(resolution,[status(thm)],[201107952,197023680]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[182351536,201114896]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------