TSTP Solution File: SYN139-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SYN139-1 : 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 16:54:30 EDT 2009
% Result : Unsatisfiable 525.5s
% Output : Refutation 525.5s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 23
% Syntax : Number of formulae : 65 ( 30 unt; 0 def)
% Number of atoms : 128 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 132 ( 69 ~; 63 |; 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 : 84 ( 18 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(axiom_32,plain,
k0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),
[] ).
cnf(151461568,plain,
k0(b),
inference(rewrite,[status(thm)],[axiom_32]),
[] ).
fof(rule_068,plain,
! [A] :
( p1(A,A,A)
| ~ k0(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),
[] ).
cnf(152253720,plain,
( p1(A,A,A)
| ~ k0(A) ),
inference(rewrite,[status(thm)],[rule_068]),
[] ).
fof(axiom_20,plain,
l0(a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),
[] ).
cnf(151401112,plain,
l0(a),
inference(rewrite,[status(thm)],[axiom_20]),
[] ).
fof(rule_050,plain,
! [A,B] :
( n1(A,B,A)
| ~ s0(b)
| ~ l0(A)
| ~ p0(b,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),
[] ).
fof(axiom_14,plain,
! [A] : p0(b,A),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),
[] ).
cnf(151373984,plain,
p0(b,A),
inference(rewrite,[status(thm)],[axiom_14]),
[] ).
fof(axiom_5,plain,
s0(b),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),
[] ).
cnf(151326184,plain,
s0(b),
inference(rewrite,[status(thm)],[axiom_5]),
[] ).
cnf(152022448,plain,
( n1(A,B,A)
| ~ l0(A) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_050,151373984,151326184]),
[] ).
cnf(164341288,plain,
n1(a,A,a),
inference(resolution,[status(thm)],[152022448,151401112]),
[] ).
fof(rule_054,plain,
! [A,B,C] :
( n1(A,B,B)
| ~ l0(C)
| ~ l1(C,A)
| ~ n1(A,B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),
[] ).
cnf(152087600,plain,
( n1(A,B,B)
| ~ l0(C)
| ~ l1(C,A)
| ~ n1(A,B,A) ),
inference(rewrite,[status(thm)],[rule_054]),
[] ).
fof(axiom_37,plain,
n0(b,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),
[] ).
cnf(151480280,plain,
n0(b,a),
inference(rewrite,[status(thm)],[axiom_37]),
[] ).
fof(rule_002,plain,
! [A,B] :
( l1(A,A)
| ~ n0(B,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),
[] ).
cnf(151507704,plain,
( l1(A,A)
| ~ n0(B,A) ),
inference(rewrite,[status(thm)],[rule_002]),
[] ).
cnf(168616736,plain,
l1(a,a),
inference(resolution,[status(thm)],[151480280,151507704]),
[] ).
cnf(657420120,plain,
n1(a,A,A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[151401112,164341288,152087600,168616736]),
[] ).
fof(rule_182,plain,
! [A,B,C] :
( q2(A,B,A)
| ~ p1(A,A,C)
| ~ n1(B,A,C)
| ~ q2(B,C,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),
[] ).
cnf(153585080,plain,
( q2(A,B,A)
| ~ p1(A,A,C)
| ~ n1(B,A,C)
| ~ q2(B,C,A) ),
inference(rewrite,[status(thm)],[rule_182]),
[] ).
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/SYN139-1.tptp',unknown),
[] ).
cnf(153514656,plain,
( q2(A,B,B)
| ~ k0(B)
| ~ p1(A,A,A) ),
inference(rewrite,[status(thm)],[rule_177]),
[] ).
fof(rule_075,plain,
( p1(a,a,a)
| ~ p0(b,a) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),
[] ).
cnf(152306632,plain,
p1(a,a,a),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,151373984]),
[] ).
cnf(167625072,plain,
( q2(a,A,A)
| ~ k0(A) ),
inference(resolution,[status(thm)],[153514656,152306632]),
[] ).
cnf(211830293,plain,
( q2(A,a,A)
| ~ k0(A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[152253720,657420120,153585080,167625072]),
[] ).
fof(rule_273,plain,
! [A,B,C,D] :
( s3(A,B)
| ~ q2(C,A,C)
| ~ s2(A)
| ~ m0(C,D,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),
[] ).
cnf(154867720,plain,
( s3(A,B)
| ~ q2(C,A,C)
| ~ s2(A)
| ~ m0(C,D,B) ),
inference(rewrite,[status(thm)],[rule_273]),
[] ).
fof(axiom_19,plain,
! [A,B] : m0(A,d,B),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),
[] ).
cnf(151396752,plain,
m0(A,d,B),
inference(rewrite,[status(thm)],[axiom_19]),
[] ).
cnf(167128896,plain,
( s3(A,B)
| ~ q2(C,A,C)
| ~ s2(A) ),
inference(resolution,[status(thm)],[154867720,151396752]),
[] ).
fof(rule_181,plain,
! [A] :
( q2(A,A,A)
| ~ p1(A,A,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),
[] ).
cnf(153566656,plain,
( q2(A,A,A)
| ~ p1(A,A,A) ),
inference(rewrite,[status(thm)],[rule_181]),
[] ).
cnf(167614856,plain,
q2(a,a,a),
inference(resolution,[status(thm)],[153566656,152306632]),
[] ).
cnf(176870888,plain,
( s3(a,A)
| ~ s2(a) ),
inference(resolution,[status(thm)],[167128896,167614856]),
[] ).
fof(rule_126,plain,
! [A,B,C] :
( s1(A)
| ~ q0(A,B)
| ~ s1(C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),
[] ).
cnf(152813360,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/SYN139-1.tptp',unknown),
[] ).
cnf(152801216,plain,
( s1(A)
| ~ p0(A,A) ),
inference(rewrite,[status(thm)],[rule_125]),
[] ).
cnf(165486704,plain,
s1(b),
inference(resolution,[status(thm)],[152801216,151373984]),
[] ).
cnf(165822472,plain,
( s1(A)
| ~ q0(A,B) ),
inference(resolution,[status(thm)],[152813360,165486704]),
[] ).
fof(axiom_17,plain,
! [A] : q0(A,d),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),
[] ).
cnf(151389272,plain,
q0(A,d),
inference(rewrite,[status(thm)],[axiom_17]),
[] ).
cnf(166008496,plain,
s1(A),
inference(resolution,[status(thm)],[165822472,151389272]),
[] ).
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/SYN139-1.tptp',unknown),
[] ).
cnf(152922304,plain,
( l2(A,A)
| ~ p0(B,B)
| ~ s1(C)
| ~ m0(D,C,A) ),
inference(rewrite,[status(thm)],[rule_133]),
[] ).
cnf(165698712,plain,
( l2(A,A)
| ~ s1(B)
| ~ m0(C,B,A) ),
inference(resolution,[status(thm)],[152922304,151373984]),
[] ).
fof(axiom_4,plain,
m0(e,d,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),
[] ).
cnf(151315568,plain,
m0(e,d,a),
inference(rewrite,[status(thm)],[axiom_4]),
[] ).
cnf(175542312,plain,
l2(a,a),
inference(forward_subsumption_resolution__resolution,[status(thm)],[166008496,165698712,151315568]),
[] ).
fof(rule_279,plain,
! [A,B,C] :
( m4(A,B)
| ~ l2(C,B)
| ~ s3(a,A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),
[] ).
cnf(154950336,plain,
( m4(A,B)
| ~ l2(C,B)
| ~ s3(a,A) ),
inference(rewrite,[status(thm)],[rule_279]),
[] ).
fof(prove_this,plain,
~ m4(a,a),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),
[] ).
cnf(155670192,plain,
~ m4(a,a),
inference(rewrite,[status(thm)],[prove_this]),
[] ).
cnf(167967760,plain,
( ~ l2(A,a)
| ~ s3(a,a) ),
inference(resolution,[status(thm)],[154950336,155670192]),
[] ).
cnf(175922728,plain,
~ s3(a,a),
inference(resolution,[status(thm)],[175542312,167967760]),
[] ).
cnf(176955784,plain,
~ s2(a),
inference(resolution,[status(thm)],[176870888,175922728]),
[] ).
fof(rule_189,plain,
! [A] :
( s2(A)
| ~ q2(b,A,b)
| ~ s1(b) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),
[] ).
cnf(153695576,plain,
( s2(A)
| ~ q2(b,A,b)
| ~ s1(b) ),
inference(rewrite,[status(thm)],[rule_189]),
[] ).
cnf(165852176,plain,
( s2(A)
| ~ q2(b,A,b) ),
inference(resolution,[status(thm)],[153695576,165486704]),
[] ).
cnf(177000640,plain,
~ q2(b,a,b),
inference(resolution,[status(thm)],[176955784,165852176]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[151461568,211830293,177000640]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 689 seconds
% START OF PROOF SEQUENCE
% fof(axiom_32,plain,(k0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),[]).
%
% cnf(151461568,plain,(k0(b)),inference(rewrite,[status(thm)],[axiom_32]),[]).
%
% fof(rule_068,plain,(p1(A,A,A)|~k0(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),[]).
%
% cnf(152253720,plain,(p1(A,A,A)|~k0(A)),inference(rewrite,[status(thm)],[rule_068]),[]).
%
% fof(axiom_20,plain,(l0(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),[]).
%
% cnf(151401112,plain,(l0(a)),inference(rewrite,[status(thm)],[axiom_20]),[]).
%
% fof(rule_050,plain,(n1(A,B,A)|~s0(b)|~l0(A)|~p0(b,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),[]).
%
% fof(axiom_14,plain,(p0(b,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),[]).
%
% cnf(151373984,plain,(p0(b,A)),inference(rewrite,[status(thm)],[axiom_14]),[]).
%
% fof(axiom_5,plain,(s0(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),[]).
%
% cnf(151326184,plain,(s0(b)),inference(rewrite,[status(thm)],[axiom_5]),[]).
%
% cnf(152022448,plain,(n1(A,B,A)|~l0(A)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_050,151373984,151326184]),[]).
%
% cnf(164341288,plain,(n1(a,A,a)),inference(resolution,[status(thm)],[152022448,151401112]),[]).
%
% fof(rule_054,plain,(n1(A,B,B)|~l0(C)|~l1(C,A)|~n1(A,B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),[]).
%
% cnf(152087600,plain,(n1(A,B,B)|~l0(C)|~l1(C,A)|~n1(A,B,A)),inference(rewrite,[status(thm)],[rule_054]),[]).
%
% fof(axiom_37,plain,(n0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),[]).
%
% cnf(151480280,plain,(n0(b,a)),inference(rewrite,[status(thm)],[axiom_37]),[]).
%
% fof(rule_002,plain,(l1(A,A)|~n0(B,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),[]).
%
% cnf(151507704,plain,(l1(A,A)|~n0(B,A)),inference(rewrite,[status(thm)],[rule_002]),[]).
%
% cnf(168616736,plain,(l1(a,a)),inference(resolution,[status(thm)],[151480280,151507704]),[]).
%
% cnf(657420120,plain,(n1(a,A,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[151401112,164341288,152087600,168616736]),[]).
%
% fof(rule_182,plain,(q2(A,B,A)|~p1(A,A,C)|~n1(B,A,C)|~q2(B,C,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),[]).
%
% cnf(153585080,plain,(q2(A,B,A)|~p1(A,A,C)|~n1(B,A,C)|~q2(B,C,A)),inference(rewrite,[status(thm)],[rule_182]),[]).
%
% fof(rule_177,plain,(q2(A,B,B)|~k0(B)|~p1(A,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),[]).
%
% cnf(153514656,plain,(q2(A,B,B)|~k0(B)|~p1(A,A,A)),inference(rewrite,[status(thm)],[rule_177]),[]).
%
% fof(rule_075,plain,(p1(a,a,a)|~p0(b,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),[]).
%
% cnf(152306632,plain,(p1(a,a,a)),inference(rewrite__forward_subsumption_resolution,[status(thm)],[rule_075,151373984]),[]).
%
% cnf(167625072,plain,(q2(a,A,A)|~k0(A)),inference(resolution,[status(thm)],[153514656,152306632]),[]).
%
% cnf(211830293,plain,(q2(A,a,A)|~k0(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[152253720,657420120,153585080,167625072]),[]).
%
% fof(rule_273,plain,(s3(A,B)|~q2(C,A,C)|~s2(A)|~m0(C,D,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),[]).
%
% cnf(154867720,plain,(s3(A,B)|~q2(C,A,C)|~s2(A)|~m0(C,D,B)),inference(rewrite,[status(thm)],[rule_273]),[]).
%
% fof(axiom_19,plain,(m0(A,d,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),[]).
%
% cnf(151396752,plain,(m0(A,d,B)),inference(rewrite,[status(thm)],[axiom_19]),[]).
%
% cnf(167128896,plain,(s3(A,B)|~q2(C,A,C)|~s2(A)),inference(resolution,[status(thm)],[154867720,151396752]),[]).
%
% fof(rule_181,plain,(q2(A,A,A)|~p1(A,A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),[]).
%
% cnf(153566656,plain,(q2(A,A,A)|~p1(A,A,A)),inference(rewrite,[status(thm)],[rule_181]),[]).
%
% cnf(167614856,plain,(q2(a,a,a)),inference(resolution,[status(thm)],[153566656,152306632]),[]).
%
% cnf(176870888,plain,(s3(a,A)|~s2(a)),inference(resolution,[status(thm)],[167128896,167614856]),[]).
%
% fof(rule_126,plain,(s1(A)|~q0(A,B)|~s1(C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),[]).
%
% cnf(152813360,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/SYN139-1.tptp',unknown),[]).
%
% cnf(152801216,plain,(s1(A)|~p0(A,A)),inference(rewrite,[status(thm)],[rule_125]),[]).
%
% cnf(165486704,plain,(s1(b)),inference(resolution,[status(thm)],[152801216,151373984]),[]).
%
% cnf(165822472,plain,(s1(A)|~q0(A,B)),inference(resolution,[status(thm)],[152813360,165486704]),[]).
%
% fof(axiom_17,plain,(q0(A,d)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),[]).
%
% cnf(151389272,plain,(q0(A,d)),inference(rewrite,[status(thm)],[axiom_17]),[]).
%
% cnf(166008496,plain,(s1(A)),inference(resolution,[status(thm)],[165822472,151389272]),[]).
%
% 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/SYN139-1.tptp',unknown),[]).
%
% cnf(152922304,plain,(l2(A,A)|~p0(B,B)|~s1(C)|~m0(D,C,A)),inference(rewrite,[status(thm)],[rule_133]),[]).
%
% cnf(165698712,plain,(l2(A,A)|~s1(B)|~m0(C,B,A)),inference(resolution,[status(thm)],[152922304,151373984]),[]).
%
% fof(axiom_4,plain,(m0(e,d,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),[]).
%
% cnf(151315568,plain,(m0(e,d,a)),inference(rewrite,[status(thm)],[axiom_4]),[]).
%
% cnf(175542312,plain,(l2(a,a)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166008496,165698712,151315568]),[]).
%
% fof(rule_279,plain,(m4(A,B)|~l2(C,B)|~s3(a,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),[]).
%
% cnf(154950336,plain,(m4(A,B)|~l2(C,B)|~s3(a,A)),inference(rewrite,[status(thm)],[rule_279]),[]).
%
% fof(prove_this,plain,(~m4(a,a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),[]).
%
% cnf(155670192,plain,(~m4(a,a)),inference(rewrite,[status(thm)],[prove_this]),[]).
%
% cnf(167967760,plain,(~l2(A,a)|~s3(a,a)),inference(resolution,[status(thm)],[154950336,155670192]),[]).
%
% cnf(175922728,plain,(~s3(a,a)),inference(resolution,[status(thm)],[175542312,167967760]),[]).
%
% cnf(176955784,plain,(~s2(a)),inference(resolution,[status(thm)],[176870888,175922728]),[]).
%
% fof(rule_189,plain,(s2(A)|~q2(b,A,b)|~s1(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN139-1.tptp',unknown),[]).
%
% cnf(153695576,plain,(s2(A)|~q2(b,A,b)|~s1(b)),inference(rewrite,[status(thm)],[rule_189]),[]).
%
% cnf(165852176,plain,(s2(A)|~q2(b,A,b)),inference(resolution,[status(thm)],[153695576,165486704]),[]).
%
% cnf(177000640,plain,(~q2(b,a,b)),inference(resolution,[status(thm)],[176955784,165852176]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[151461568,211830293,177000640]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------