TSTP Solution File: GRP128-1.003 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GRP128-1.003 : TPTP v3.4.2. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 12:26:57 EDT 2009
% Result : Unsatisfiable 0.3s
% Output : Refutation 0.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 61 ( 22 unt; 0 def)
% Number of atoms : 120 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 132 ( 73 ~; 59 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 69 ( 1 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(element_1,plain,
group_element(e_1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP128-1.003.tptp',unknown),
[] ).
cnf(155915336,plain,
group_element(e_1),
inference(rewrite,[status(thm)],[element_1]),
[] ).
fof(element_3,plain,
group_element(e_3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP128-1.003.tptp',unknown),
[] ).
cnf(155923064,plain,
group_element(e_3),
inference(rewrite,[status(thm)],[element_3]),
[] ).
fof(element_2,plain,
group_element(e_2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP128-1.003.tptp',unknown),
[] ).
cnf(155919288,plain,
group_element(e_2),
inference(rewrite,[status(thm)],[element_2]),
[] ).
fof(product_total_function1,plain,
! [A,B] :
( ~ group_element(A)
| ~ group_element(B)
| product(A,B,e_1)
| product(A,B,e_2)
| product(A,B,e_3) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP128-1.003.tptp',unknown),
[] ).
cnf(155965992,plain,
( ~ group_element(A)
| ~ group_element(B)
| product(A,B,e_1)
| product(A,B,e_2)
| product(A,B,e_3) ),
inference(rewrite,[status(thm)],[product_total_function1]),
[] ).
fof(qg3,plain,
! [A,B,C,D] :
( ~ product(A,B,C)
| ~ product(C,B,D)
| product(A,C,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP128-1.003.tptp',unknown),
[] ).
cnf(155990424,plain,
( ~ product(A,B,C)
| ~ product(C,B,D)
| product(A,C,D) ),
inference(rewrite,[status(thm)],[qg3]),
[] ).
fof(product_right_cancellation,plain,
! [A,B,C,D] :
( ~ product(A,B,C)
| ~ product(A,D,C)
| equalish(B,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP128-1.003.tptp',unknown),
[] ).
cnf(155982416,plain,
( ~ product(A,B,C)
| ~ product(A,D,C)
| equalish(B,D) ),
inference(rewrite,[status(thm)],[product_right_cancellation]),
[] ).
fof(e_1_is_not_e_2,plain,
~ equalish(e_1,e_2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP128-1.003.tptp',unknown),
[] ).
cnf(155927584,plain,
~ equalish(e_1,e_2),
inference(rewrite,[status(thm)],[e_1_is_not_e_2]),
[] ).
cnf(163967552,plain,
( ~ product(A,e_1,B)
| ~ product(A,e_2,B) ),
inference(resolution,[status(thm)],[155982416,155927584]),
[] ).
cnf(164112632,plain,
( ~ product(A,B,e_1)
| ~ product(e_1,B,C)
| ~ product(A,e_2,C) ),
inference(resolution,[status(thm)],[155990424,163967552]),
[] ).
cnf(165562296,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[155915336,155919288,155965992,164112632]),
[] ).
fof(product_left_cancellation,plain,
! [A,B,C,D] :
( ~ product(A,B,C)
| ~ product(D,B,C)
| equalish(A,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP128-1.003.tptp',unknown),
[] ).
cnf(155986048,plain,
( ~ product(A,B,C)
| ~ product(D,B,C)
| equalish(A,D) ),
inference(rewrite,[status(thm)],[product_left_cancellation]),
[] ).
cnf(163993384,plain,
( ~ product(e_1,A,B)
| ~ product(e_2,A,B) ),
inference(resolution,[status(thm)],[155986048,155927584]),
[] ).
cnf(164124096,plain,
( ~ product(e_1,A,B)
| ~ product(B,A,C)
| ~ product(e_2,B,C) ),
inference(resolution,[status(thm)],[155990424,163993384]),
[] ).
cnf(166212688,plain,
( product(e_1,e_2,e_3)
| ~ product(e_2,e_2,A) ),
inference(resolution,[status(thm)],[165562296,164124096]),
[] ).
cnf(166023704,plain,
( product(e_1,e_2,e_2)
| ~ product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[165562296,163993384]),
[] ).
fof(product_total_function2,plain,
! [A,B,C,D] :
( ~ product(A,B,C)
| ~ product(A,B,D)
| equalish(C,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP128-1.003.tptp',unknown),
[] ).
cnf(155978184,plain,
( ~ product(A,B,C)
| ~ product(A,B,D)
| equalish(C,D) ),
inference(rewrite,[status(thm)],[product_total_function2]),
[] ).
fof(e_2_is_not_e_3,plain,
~ equalish(e_2,e_3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP128-1.003.tptp',unknown),
[] ).
cnf(155938864,plain,
~ equalish(e_2,e_3),
inference(rewrite,[status(thm)],[e_2_is_not_e_3]),
[] ).
cnf(164064016,plain,
( ~ product(A,B,e_2)
| ~ product(A,B,e_3) ),
inference(resolution,[status(thm)],[155978184,155938864]),
[] ).
cnf(168217736,plain,
~ product(e_2,e_2,e_3),
inference(forward_subsumption_resolution__resolution,[status(thm)],[166212688,166023704,164064016]),
[] ).
cnf(168441496,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[155919288,168217736,155965992]),
[] ).
cnf(168882640,plain,
( product(e_2,e_2,e_1)
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[168441496,163967552]),
[] ).
fof(e_1_is_not_e_3,plain,
~ equalish(e_1,e_3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP128-1.003.tptp',unknown),
[] ).
cnf(155931504,plain,
~ equalish(e_1,e_3),
inference(rewrite,[status(thm)],[e_1_is_not_e_3]),
[] ).
cnf(164022056,plain,
( ~ product(A,e_1,B)
| ~ product(A,e_3,B) ),
inference(resolution,[status(thm)],[155982416,155931504]),
[] ).
cnf(164147744,plain,
( ~ product(A,B,e_1)
| ~ product(e_1,B,C)
| ~ product(A,e_3,C) ),
inference(resolution,[status(thm)],[155990424,164022056]),
[] ).
cnf(165794304,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[155915336,155923064,155965992,164147744]),
[] ).
cnf(166486552,plain,
( product(e_1,e_3,e_2)
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[165794304,164022056]),
[] ).
cnf(166011528,plain,
( product(e_1,e_2,e_2)
| ~ product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[165562296,163967552]),
[] ).
cnf(164082304,plain,
( ~ product(A,e_2,B)
| ~ product(A,e_3,B) ),
inference(resolution,[status(thm)],[155982416,155938864]),
[] ).
cnf(167849608,plain,
~ product(e_1,e_1,e_3),
inference(forward_subsumption_resolution__resolution,[status(thm)],[166486552,166011528,164082304]),
[] ).
cnf(166482976,plain,
( product(e_1,e_3,e_3)
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[165794304,164022056]),
[] ).
cnf(166007176,plain,
( product(e_1,e_2,e_3)
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[165562296,163967552]),
[] ).
cnf(167469160,plain,
~ product(e_1,e_1,e_2),
inference(forward_subsumption_resolution__resolution,[status(thm)],[166482976,166007176,164082304]),
[] ).
cnf(163802824,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[155965992,155915336]),
[] ).
cnf(167525632,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[167469160,163802824]),
[] ).
cnf(167924776,plain,
product(e_1,e_1,e_1),
inference(resolution,[status(thm)],[167849608,167525632]),
[] ).
cnf(168287648,plain,
~ product(e_2,e_1,e_1),
inference(resolution,[status(thm)],[167924776,163993384]),
[] ).
cnf(168474040,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[155915336,155919288,168287648,155965992]),
[] ).
cnf(163941472,plain,
( ~ product(A,B,e_1)
| ~ product(A,B,e_2) ),
inference(resolution,[status(thm)],[155978184,155927584]),
[] ).
cnf(164106536,plain,
( ~ product(A,B,C)
| ~ product(C,B,e_2)
| ~ product(A,C,e_1) ),
inference(resolution,[status(thm)],[155990424,163941472]),
[] ).
cnf(169257272,plain,
product(e_2,e_1,e_3),
inference(forward_subsumption_resolution__resolution,[status(thm)],[168882640,168474040,168474040,164106536]),
[] ).
cnf(164178728,plain,
( ~ product(A,B,e_2)
| ~ product(e_2,B,C)
| ~ product(A,e_3,C) ),
inference(resolution,[status(thm)],[155990424,164082304]),
[] ).
cnf(164998472,plain,
( ~ product(e_2,A,e_3)
| ~ product(e_3,A,e_2) ),
inference(resolution,[status(thm)],[164178728,155990424]),
[] ).
cnf(169396088,plain,
~ product(e_3,e_1,e_2),
inference(resolution,[status(thm)],[169257272,164998472]),
[] ).
cnf(169689216,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_3) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[155915336,155923064,169396088,155965992]),
[] ).
cnf(164090024,plain,
( ~ product(e_2,A,B)
| ~ product(e_3,A,B) ),
inference(resolution,[status(thm)],[155986048,155938864]),
[] ).
cnf(169334656,plain,
~ product(e_3,e_1,e_3),
inference(resolution,[status(thm)],[169257272,164090024]),
[] ).
cnf(164042064,plain,
( ~ product(e_1,A,B)
| ~ product(e_3,A,B) ),
inference(resolution,[status(thm)],[155986048,155931504]),
[] ).
cnf(168297104,plain,
~ product(e_3,e_1,e_1),
inference(resolution,[status(thm)],[167924776,164042064]),
[] ).
cnf(168506512,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[155915336,155923064,168297104,155965992]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[169689216,169334656,168506512,163941472]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(element_1,plain,(group_element(e_1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP128-1.003.tptp',unknown),[]).
%
% cnf(155915336,plain,(group_element(e_1)),inference(rewrite,[status(thm)],[element_1]),[]).
%
% fof(element_3,plain,(group_element(e_3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP128-1.003.tptp',unknown),[]).
%
% cnf(155923064,plain,(group_element(e_3)),inference(rewrite,[status(thm)],[element_3]),[]).
%
% fof(element_2,plain,(group_element(e_2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP128-1.003.tptp',unknown),[]).
%
% cnf(155919288,plain,(group_element(e_2)),inference(rewrite,[status(thm)],[element_2]),[]).
%
% fof(product_total_function1,plain,(~group_element(A)|~group_element(B)|product(A,B,e_1)|product(A,B,e_2)|product(A,B,e_3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP128-1.003.tptp',unknown),[]).
%
% cnf(155965992,plain,(~group_element(A)|~group_element(B)|product(A,B,e_1)|product(A,B,e_2)|product(A,B,e_3)),inference(rewrite,[status(thm)],[product_total_function1]),[]).
%
% fof(qg3,plain,(~product(A,B,C)|~product(C,B,D)|product(A,C,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP128-1.003.tptp',unknown),[]).
%
% cnf(155990424,plain,(~product(A,B,C)|~product(C,B,D)|product(A,C,D)),inference(rewrite,[status(thm)],[qg3]),[]).
%
% fof(product_right_cancellation,plain,(~product(A,B,C)|~product(A,D,C)|equalish(B,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP128-1.003.tptp',unknown),[]).
%
% cnf(155982416,plain,(~product(A,B,C)|~product(A,D,C)|equalish(B,D)),inference(rewrite,[status(thm)],[product_right_cancellation]),[]).
%
% fof(e_1_is_not_e_2,plain,(~equalish(e_1,e_2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP128-1.003.tptp',unknown),[]).
%
% cnf(155927584,plain,(~equalish(e_1,e_2)),inference(rewrite,[status(thm)],[e_1_is_not_e_2]),[]).
%
% cnf(163967552,plain,(~product(A,e_1,B)|~product(A,e_2,B)),inference(resolution,[status(thm)],[155982416,155927584]),[]).
%
% cnf(164112632,plain,(~product(A,B,e_1)|~product(e_1,B,C)|~product(A,e_2,C)),inference(resolution,[status(thm)],[155990424,163967552]),[]).
%
% cnf(165562296,plain,(product(e_1,e_2,e_2)|product(e_1,e_2,e_3)),inference(forward_subsumption_resolution__resolution,[status(thm)],[155915336,155919288,155965992,164112632]),[]).
%
% fof(product_left_cancellation,plain,(~product(A,B,C)|~product(D,B,C)|equalish(A,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP128-1.003.tptp',unknown),[]).
%
% cnf(155986048,plain,(~product(A,B,C)|~product(D,B,C)|equalish(A,D)),inference(rewrite,[status(thm)],[product_left_cancellation]),[]).
%
% cnf(163993384,plain,(~product(e_1,A,B)|~product(e_2,A,B)),inference(resolution,[status(thm)],[155986048,155927584]),[]).
%
% cnf(164124096,plain,(~product(e_1,A,B)|~product(B,A,C)|~product(e_2,B,C)),inference(resolution,[status(thm)],[155990424,163993384]),[]).
%
% cnf(166212688,plain,(product(e_1,e_2,e_3)|~product(e_2,e_2,A)),inference(resolution,[status(thm)],[165562296,164124096]),[]).
%
% cnf(166023704,plain,(product(e_1,e_2,e_2)|~product(e_2,e_2,e_3)),inference(resolution,[status(thm)],[165562296,163993384]),[]).
%
% fof(product_total_function2,plain,(~product(A,B,C)|~product(A,B,D)|equalish(C,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP128-1.003.tptp',unknown),[]).
%
% cnf(155978184,plain,(~product(A,B,C)|~product(A,B,D)|equalish(C,D)),inference(rewrite,[status(thm)],[product_total_function2]),[]).
%
% fof(e_2_is_not_e_3,plain,(~equalish(e_2,e_3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP128-1.003.tptp',unknown),[]).
%
% cnf(155938864,plain,(~equalish(e_2,e_3)),inference(rewrite,[status(thm)],[e_2_is_not_e_3]),[]).
%
% cnf(164064016,plain,(~product(A,B,e_2)|~product(A,B,e_3)),inference(resolution,[status(thm)],[155978184,155938864]),[]).
%
% cnf(168217736,plain,(~product(e_2,e_2,e_3)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166212688,166023704,164064016]),[]).
%
% cnf(168441496,plain,(product(e_2,e_2,e_1)|product(e_2,e_2,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[155919288,168217736,155965992]),[]).
%
% cnf(168882640,plain,(product(e_2,e_2,e_1)|~product(e_2,e_1,e_2)),inference(resolution,[status(thm)],[168441496,163967552]),[]).
%
% fof(e_1_is_not_e_3,plain,(~equalish(e_1,e_3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP128-1.003.tptp',unknown),[]).
%
% cnf(155931504,plain,(~equalish(e_1,e_3)),inference(rewrite,[status(thm)],[e_1_is_not_e_3]),[]).
%
% cnf(164022056,plain,(~product(A,e_1,B)|~product(A,e_3,B)),inference(resolution,[status(thm)],[155982416,155931504]),[]).
%
% cnf(164147744,plain,(~product(A,B,e_1)|~product(e_1,B,C)|~product(A,e_3,C)),inference(resolution,[status(thm)],[155990424,164022056]),[]).
%
% cnf(165794304,plain,(product(e_1,e_3,e_2)|product(e_1,e_3,e_3)),inference(forward_subsumption_resolution__resolution,[status(thm)],[155915336,155923064,155965992,164147744]),[]).
%
% cnf(166486552,plain,(product(e_1,e_3,e_2)|~product(e_1,e_1,e_3)),inference(resolution,[status(thm)],[165794304,164022056]),[]).
%
% cnf(166011528,plain,(product(e_1,e_2,e_2)|~product(e_1,e_1,e_3)),inference(resolution,[status(thm)],[165562296,163967552]),[]).
%
% cnf(164082304,plain,(~product(A,e_2,B)|~product(A,e_3,B)),inference(resolution,[status(thm)],[155982416,155938864]),[]).
%
% cnf(167849608,plain,(~product(e_1,e_1,e_3)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166486552,166011528,164082304]),[]).
%
% cnf(166482976,plain,(product(e_1,e_3,e_3)|~product(e_1,e_1,e_2)),inference(resolution,[status(thm)],[165794304,164022056]),[]).
%
% cnf(166007176,plain,(product(e_1,e_2,e_3)|~product(e_1,e_1,e_2)),inference(resolution,[status(thm)],[165562296,163967552]),[]).
%
% cnf(167469160,plain,(~product(e_1,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[166482976,166007176,164082304]),[]).
%
% cnf(163802824,plain,(product(e_1,e_1,e_1)|product(e_1,e_1,e_2)|product(e_1,e_1,e_3)),inference(resolution,[status(thm)],[155965992,155915336]),[]).
%
% cnf(167525632,plain,(product(e_1,e_1,e_1)|product(e_1,e_1,e_3)),inference(resolution,[status(thm)],[167469160,163802824]),[]).
%
% cnf(167924776,plain,(product(e_1,e_1,e_1)),inference(resolution,[status(thm)],[167849608,167525632]),[]).
%
% cnf(168287648,plain,(~product(e_2,e_1,e_1)),inference(resolution,[status(thm)],[167924776,163993384]),[]).
%
% cnf(168474040,plain,(product(e_2,e_1,e_2)|product(e_2,e_1,e_3)),inference(forward_subsumption_resolution__resolution,[status(thm)],[155915336,155919288,168287648,155965992]),[]).
%
% cnf(163941472,plain,(~product(A,B,e_1)|~product(A,B,e_2)),inference(resolution,[status(thm)],[155978184,155927584]),[]).
%
% cnf(164106536,plain,(~product(A,B,C)|~product(C,B,e_2)|~product(A,C,e_1)),inference(resolution,[status(thm)],[155990424,163941472]),[]).
%
% cnf(169257272,plain,(product(e_2,e_1,e_3)),inference(forward_subsumption_resolution__resolution,[status(thm)],[168882640,168474040,168474040,164106536]),[]).
%
% cnf(164178728,plain,(~product(A,B,e_2)|~product(e_2,B,C)|~product(A,e_3,C)),inference(resolution,[status(thm)],[155990424,164082304]),[]).
%
% cnf(164998472,plain,(~product(e_2,A,e_3)|~product(e_3,A,e_2)),inference(resolution,[status(thm)],[164178728,155990424]),[]).
%
% cnf(169396088,plain,(~product(e_3,e_1,e_2)),inference(resolution,[status(thm)],[169257272,164998472]),[]).
%
% cnf(169689216,plain,(product(e_3,e_1,e_1)|product(e_3,e_1,e_3)),inference(forward_subsumption_resolution__resolution,[status(thm)],[155915336,155923064,169396088,155965992]),[]).
%
% cnf(164090024,plain,(~product(e_2,A,B)|~product(e_3,A,B)),inference(resolution,[status(thm)],[155986048,155938864]),[]).
%
% cnf(169334656,plain,(~product(e_3,e_1,e_3)),inference(resolution,[status(thm)],[169257272,164090024]),[]).
%
% cnf(164042064,plain,(~product(e_1,A,B)|~product(e_3,A,B)),inference(resolution,[status(thm)],[155986048,155931504]),[]).
%
% cnf(168297104,plain,(~product(e_3,e_1,e_1)),inference(resolution,[status(thm)],[167924776,164042064]),[]).
%
% cnf(168506512,plain,(product(e_3,e_1,e_2)|product(e_3,e_1,e_3)),inference(forward_subsumption_resolution__resolution,[status(thm)],[155915336,155923064,168297104,155965992]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[169689216,169334656,168506512,163941472]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------