TSTP Solution File: GRP129-2.004 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : GRP129-2.004 : 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 12:27:21 EDT 2009
% Result : Unsatisfiable 24.7s
% Output : Refutation 24.7s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 19
% Syntax : Number of formulae : 157 ( 50 unt; 0 def)
% Number of atoms : 308 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 358 ( 207 ~; 151 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 121 ( 7 sgn 21 !; 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/GRP129-2.004.tptp',unknown),
[] ).
cnf(145610848,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/GRP129-2.004.tptp',unknown),
[] ).
cnf(145618576,plain,
group_element(e_3),
inference(rewrite,[status(thm)],[element_3]),
[] ).
fof(no_redundancy,plain,
! [A,B,C] :
( ~ product(A,e_1,B)
| ~ next(A,C)
| ~ greater(B,C) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),
[] ).
cnf(145605976,plain,
( ~ product(A,e_1,B)
| ~ next(A,C)
| ~ greater(B,C) ),
inference(rewrite,[status(thm)],[no_redundancy]),
[] ).
fof(e_1_then_e_2,plain,
next(e_1,e_2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),
[] ).
cnf(145547120,plain,
next(e_1,e_2),
inference(rewrite,[status(thm)],[e_1_then_e_2]),
[] ).
cnf(153784496,plain,
( ~ product(e_1,e_1,A)
| ~ greater(A,e_2) ),
inference(resolution,[status(thm)],[145605976,145547120]),
[] ).
fof(e_3_greater_e_2,plain,
greater(e_3,e_2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),
[] ).
cnf(145570944,plain,
greater(e_3,e_2),
inference(rewrite,[status(thm)],[e_3_greater_e_2]),
[] ).
cnf(154098864,plain,
~ product(e_1,e_1,e_3),
inference(resolution,[status(thm)],[153784496,145570944]),
[] ).
fof(e_4_greater_e_2,plain,
greater(e_4,e_2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),
[] ).
cnf(145574672,plain,
greater(e_4,e_2),
inference(rewrite,[status(thm)],[e_4_greater_e_2]),
[] ).
cnf(154107696,plain,
~ product(e_1,e_1,e_4),
inference(resolution,[status(thm)],[153784496,145574672]),
[] ).
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)
| product(A,B,e_4) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),
[] ).
cnf(145689208,plain,
( ~ group_element(A)
| ~ group_element(B)
| product(A,B,e_1)
| product(A,B,e_2)
| product(A,B,e_3)
| product(A,B,e_4) ),
inference(rewrite,[status(thm)],[product_total_function1]),
[] ).
cnf(153570696,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[145689208,145610848]),
[] ).
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/GRP129-2.004.tptp',unknown),
[] ).
cnf(145711928,plain,
( ~ product(A,B,C)
| ~ product(D,B,C)
| equalish(A,D) ),
inference(rewrite,[status(thm)],[product_left_cancellation]),
[] ).
fof(e_1_is_not_e_3,plain,
~ equalish(e_1,e_3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),
[] ).
cnf(145634920,plain,
~ equalish(e_1,e_3),
inference(rewrite,[status(thm)],[e_1_is_not_e_3]),
[] ).
cnf(153937136,plain,
( ~ product(e_1,A,B)
| ~ product(e_3,A,B) ),
inference(resolution,[status(thm)],[145711928,145634920]),
[] ).
cnf(162537080,plain,
( product(e_1,e_1,e_2)
| ~ product(e_3,e_1,e_1) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[154098864,154107696,153570696,153937136]),
[] ).
fof(qg3,plain,
! [A,B,C,D] :
( ~ product(A,B,C)
| ~ product(B,C,D)
| product(C,A,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),
[] ).
cnf(145716304,plain,
( ~ product(A,B,C)
| ~ product(B,C,D)
| product(C,A,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/GRP129-2.004.tptp',unknown),
[] ).
cnf(145708296,plain,
( ~ product(A,B,C)
| ~ product(A,D,C)
| equalish(B,D) ),
inference(rewrite,[status(thm)],[product_right_cancellation]),
[] ).
cnf(153921216,plain,
( ~ product(A,e_1,B)
| ~ product(A,e_3,B) ),
inference(resolution,[status(thm)],[145708296,145634920]),
[] ).
cnf(154369160,plain,
( ~ product(e_3,A,B)
| ~ product(A,B,C)
| ~ product(B,e_1,C) ),
inference(resolution,[status(thm)],[145716304,153921216]),
[] ).
cnf(165472480,plain,
~ product(e_3,e_1,e_1),
inference(forward_subsumption_resolution__resolution,[status(thm)],[162537080,162537080,154369160]),
[] ).
cnf(165626120,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[145610848,145618576,165472480,145689208]),
[] ).
fof(element_2,plain,
group_element(e_2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),
[] ).
cnf(145614848,plain,
group_element(e_2),
inference(rewrite,[status(thm)],[element_2]),
[] ).
fof(e_1_is_not_e_2,plain,
~ equalish(e_1,e_2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),
[] ).
cnf(145630840,plain,
~ equalish(e_1,e_2),
inference(rewrite,[status(thm)],[e_1_is_not_e_2]),
[] ).
cnf(153897440,plain,
( ~ product(e_1,A,B)
| ~ product(e_2,A,B) ),
inference(resolution,[status(thm)],[145711928,145630840]),
[] ).
cnf(154344064,plain,
( ~ product(A,B,e_1)
| ~ product(B,e_1,C)
| ~ product(e_2,A,C) ),
inference(resolution,[status(thm)],[145716304,153897440]),
[] ).
cnf(154955168,plain,
( ~ product(e_2,e_1,e_1)
| ~ product(e_1,A,e_1)
| ~ product(A,e_1,e_1) ),
inference(resolution,[status(thm)],[154344064,145716304]),
[] ).
cnf(156368056,plain,
( ~ product(e_1,e_2,e_1)
| ~ product(e_1,A,e_2)
| ~ product(A,e_2,e_1) ),
inference(resolution,[status(thm)],[154955168,145716304]),
[] ).
cnf(162898760,plain,
( product(e_1,e_1,e_1)
| ~ product(e_1,e_2,e_1) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[154098864,154107696,153570696,156368056]),
[] ).
cnf(153873312,plain,
( ~ product(A,e_1,B)
| ~ product(A,e_2,B) ),
inference(resolution,[status(thm)],[145708296,145630840]),
[] ).
cnf(162503848,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,e_2,e_1) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[154098864,154107696,153570696,153873312]),
[] ).
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/GRP129-2.004.tptp',unknown),
[] ).
cnf(145703976,plain,
( ~ product(A,B,C)
| ~ product(A,B,D)
| equalish(C,D) ),
inference(rewrite,[status(thm)],[product_total_function2]),
[] ).
cnf(153854536,plain,
( ~ product(A,B,e_1)
| ~ product(A,B,e_2) ),
inference(resolution,[status(thm)],[145703976,145630840]),
[] ).
cnf(163039760,plain,
~ product(e_1,e_2,e_1),
inference(forward_subsumption_resolution__resolution,[status(thm)],[162898760,162503848,153854536]),
[] ).
cnf(163223128,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[145610848,145614848,163039760,145689208]),
[] ).
cnf(153905976,plain,
( ~ product(A,B,e_1)
| ~ product(A,B,e_3) ),
inference(resolution,[status(thm)],[145703976,145634920]),
[] ).
cnf(162512008,plain,
( product(e_1,e_1,e_2)
| ~ product(e_2,e_1,e_1) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[154098864,154107696,153570696,153897440]),
[] ).
cnf(158427600,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_4) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[145610848,145689208,154098864]),
[] ).
cnf(179733000,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[158427600,154107696]),
[] ).
fof(e_4_greater_e_3,plain,
greater(e_4,e_3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),
[] ).
cnf(145582424,plain,
greater(e_4,e_3),
inference(rewrite,[status(thm)],[e_4_greater_e_3]),
[] ).
cnf(153835016,plain,
( ~ product(A,e_1,e_4)
| ~ next(A,e_3) ),
inference(resolution,[status(thm)],[145605976,145582424]),
[] ).
fof(e_2_then_e_3,plain,
next(e_2,e_3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),
[] ).
cnf(145551248,plain,
next(e_2,e_3),
inference(rewrite,[status(thm)],[e_2_then_e_3]),
[] ).
cnf(154122792,plain,
~ product(e_2,e_1,e_4),
inference(resolution,[status(thm)],[153835016,145551248]),
[] ).
cnf(154337968,plain,
( ~ product(e_2,A,B)
| ~ product(A,B,C)
| ~ product(B,e_1,C) ),
inference(resolution,[status(thm)],[145716304,153873312]),
[] ).
cnf(154910120,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_1,A,e_2)
| ~ product(A,e_2,e_2) ),
inference(resolution,[status(thm)],[154337968,145716304]),
[] ).
cnf(156293320,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_2,A,e_1)
| ~ product(A,e_1,e_2) ),
inference(resolution,[status(thm)],[154910120,145716304]),
[] ).
cnf(162893392,plain,
( product(e_1,e_1,e_1)
| ~ product(e_2,e_1,e_1) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[154098864,154107696,153570696,156293320]),
[] ).
cnf(157433816,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_2,A,e_1)
| ~ product(A,e_1,e_1) ),
inference(resolution,[status(thm)],[156368056,145716304]),
[] ).
cnf(168571688,plain,
~ product(e_2,e_1,e_1),
inference(forward_subsumption_resolution__resolution,[status(thm)],[162512008,162893392,157433816]),
[] ).
cnf(162515600,plain,
( product(e_1,e_1,e_1)
| ~ product(e_2,e_1,e_2) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[154098864,154107696,153570696,153897440]),
[] ).
cnf(163903576,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_1,e_2) ),
inference(resolution,[status(thm)],[162515600,153854536]),
[] ).
cnf(169771920,plain,
( ~ product(e_1,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[154122792,168571688,145614848,145610848,163903576,145689208]),
[] ).
cnf(180314008,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[179733000,169771920]),
[] ).
cnf(157408824,plain,
( ~ product(e_2,e_1,e_1)
| ~ product(e_1,A,e_1)
| ~ product(A,e_1,e_2) ),
inference(resolution,[status(thm)],[156293320,145716304]),
[] ).
cnf(184636704,plain,
~ product(e_2,e_1,e_1),
inference(forward_subsumption_resolution__resolution,[status(thm)],[153905976,162512008,180314008,157408824]),
[] ).
cnf(158436528,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[145610848,145614848,145689208,154122792]),
[] ).
cnf(154349440,plain,
( ~ product(A,B,e_2)
| ~ product(B,e_2,C)
| ~ product(e_1,A,C) ),
inference(resolution,[status(thm)],[145716304,153897440]),
[] ).
cnf(189060216,plain,
( product(e_2,e_1,e_3)
| ~ product(e_1,e_2,A) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[184636704,158436528,154349440]),
[] ).
cnf(223390008,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_4)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[163223128,189060216]),
[] ).
cnf(154316960,plain,
( ~ product(A,B,C)
| ~ product(B,C,e_1)
| ~ product(C,A,e_2) ),
inference(resolution,[status(thm)],[145716304,153854536]),
[] ).
cnf(184411032,plain,
( product(e_2,e_1,e_3)
| ~ product(A,e_1,e_1)
| ~ product(e_1,A,e_2) ),
inference(resolution,[status(thm)],[180314008,154316960]),
[] ).
fof(e_2_is_not_e_3,plain,
~ equalish(e_2,e_3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),
[] ).
cnf(145646072,plain,
~ equalish(e_2,e_3),
inference(rewrite,[status(thm)],[e_2_is_not_e_3]),
[] ).
cnf(154155408,plain,
( ~ product(A,B,e_2)
| ~ product(A,B,e_3) ),
inference(resolution,[status(thm)],[145703976,145646072]),
[] ).
cnf(154925360,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_2,A,e_2)
| ~ product(A,e_2,e_2) ),
inference(resolution,[status(thm)],[154337968,145716304]),
[] ).
cnf(189123344,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_1,e_2,e_2) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[184411032,154155408,158436528,154925360]),
[] ).
cnf(197640992,plain,
( ~ product(e_1,e_2,A)
| ~ product(e_2,e_1,e_2) ),
inference(resolution,[status(thm)],[189060216,154155408]),
[] ).
cnf(223643120,plain,
~ product(e_2,e_1,e_2),
inference(forward_subsumption_resolution__resolution,[status(thm)],[223390008,189123344,197640992,163223128,154337968]),
[] ).
cnf(163686032,plain,
~ product(e_2,e_1,e_1),
inference(forward_subsumption_resolution__resolution,[status(thm)],[162893392,162512008,153854536]),
[] ).
cnf(188710656,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[158436528,163686032]),
[] ).
cnf(224082096,plain,
product(e_2,e_1,e_3),
inference(resolution,[status(thm)],[223643120,188710656]),
[] ).
cnf(224296504,plain,
( ~ product(A,e_2,e_1)
| product(e_1,A,e_3) ),
inference(resolution,[status(thm)],[224082096,145716304]),
[] ).
cnf(154359384,plain,
( ~ product(A,B,C)
| ~ product(B,C,e_3)
| ~ product(C,A,e_1) ),
inference(resolution,[status(thm)],[145716304,153905976]),
[] ).
cnf(224568864,plain,
~ product(e_3,e_2,e_1),
inference(forward_subsumption_resolution__resolution,[status(thm)],[224296504,224082096,154359384]),
[] ).
cnf(224292800,plain,
( ~ product(e_1,e_3,A)
| product(e_3,e_2,A) ),
inference(resolution,[status(thm)],[224082096,145716304]),
[] ).
cnf(226089728,plain,
~ product(e_1,e_3,e_1),
inference(resolution,[status(thm)],[224292800,224568864]),
[] ).
cnf(224102032,plain,
( ~ product(e_1,A,e_2)
| ~ product(A,e_2,e_2) ),
inference(resolution,[status(thm)],[223643120,145716304]),
[] ).
cnf(228509616,plain,
~ product(e_1,e_3,e_2),
inference(resolution,[status(thm)],[224102032,224292800]),
[] ).
fof(e_4_is_not_e_2,plain,
~ equalish(e_4,e_2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),
[] ).
cnf(145672352,plain,
~ equalish(e_4,e_2),
inference(rewrite,[status(thm)],[e_4_is_not_e_2]),
[] ).
cnf(153959656,plain,
( ~ product(A,B,e_4)
| ~ product(A,B,e_2) ),
inference(resolution,[status(thm)],[145703976,145672352]),
[] ).
cnf(154385080,plain,
( ~ product(A,B,C)
| ~ product(B,C,e_4)
| ~ product(C,A,e_2) ),
inference(resolution,[status(thm)],[145716304,153959656]),
[] ).
cnf(224589384,plain,
( ~ product(e_1,e_3,e_4)
| ~ product(e_3,e_2,e_2) ),
inference(resolution,[status(thm)],[224082096,154385080]),
[] ).
cnf(229081152,plain,
( ~ product(e_3,e_2,e_2)
| product(e_1,e_3,e_3) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[226089728,228509616,145618576,145610848,224589384,145689208]),
[] ).
cnf(229488040,plain,
( ~ product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[229081152,224292800]),
[] ).
cnf(230005384,plain,
~ product(e_3,e_2,e_2),
inference(resolution,[status(thm)],[229488040,154155408]),
[] ).
fof(e_3_is_not_e_4,plain,
~ equalish(e_3,e_4),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),
[] ).
cnf(145664896,plain,
~ equalish(e_3,e_4),
inference(rewrite,[status(thm)],[e_3_is_not_e_4]),
[] ).
cnf(154163936,plain,
( ~ product(A,B,e_3)
| ~ product(A,B,e_4) ),
inference(resolution,[status(thm)],[145703976,145664896]),
[] ).
cnf(154437360,plain,
( ~ product(A,B,C)
| ~ product(B,C,e_4)
| ~ product(C,A,e_3) ),
inference(resolution,[status(thm)],[145716304,154163936]),
[] ).
cnf(224660728,plain,
( ~ product(e_1,e_3,e_4)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[224082096,154437360]),
[] ).
cnf(232570592,plain,
( ~ product(e_3,e_2,e_3)
| product(e_1,e_3,e_3) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[226089728,228509616,145610848,145618576,224660728,145689208]),
[] ).
cnf(154176928,plain,
( ~ product(A,e_2,B)
| ~ product(A,e_3,B) ),
inference(resolution,[status(thm)],[145708296,145646072]),
[] ).
cnf(232629608,plain,
( ~ product(e_3,e_2,e_3)
| ~ product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[232570592,154176928]),
[] ).
cnf(267799952,plain,
( ~ product(e_1,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[224568864,230005384,145618576,145614848,232629608,145689208]),
[] ).
cnf(154198336,plain,
( ~ product(e_2,A,B)
| ~ product(e_3,A,B) ),
inference(resolution,[status(thm)],[145711928,145646072]),
[] ).
cnf(189544792,plain,
( product(e_2,e_1,e_2)
| ~ product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[188710656,154198336]),
[] ).
cnf(224148272,plain,
~ product(e_3,e_1,e_3),
inference(resolution,[status(thm)],[223643120,189544792]),
[] ).
cnf(154433568,plain,
( ~ product(A,B,C)
| ~ product(B,C,e_3)
| ~ product(C,A,e_4) ),
inference(resolution,[status(thm)],[145716304,154163936]),
[] ).
cnf(224647936,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[224082096,154433568]),
[] ).
cnf(231245648,plain,
( ~ product(e_3,e_2,e_4)
| product(e_1,e_3,e_4) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[228509616,226089728,145610848,145618576,224647936,145689208]),
[] ).
cnf(231760280,plain,
( ~ product(e_3,e_2,e_4)
| ~ product(e_3,e_1,e_4) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[224082096,231245648,154337968]),
[] ).
cnf(253627192,plain,
( ~ product(e_3,e_2,e_4)
| product(e_3,e_1,e_2) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[165472480,224148272,145618576,145610848,231760280,145689208]),
[] ).
cnf(268258832,plain,
( ~ product(e_1,e_2,e_3)
| product(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[267799952,253627192]),
[] ).
cnf(224579528,plain,
( ~ product(e_3,A,e_2)
| ~ product(A,e_2,e_3) ),
inference(resolution,[status(thm)],[224082096,154369160]),
[] ).
cnf(270378288,plain,
~ product(e_1,e_2,e_3),
inference(resolution,[status(thm)],[268258832,224579528]),
[] ).
cnf(270663384,plain,
( product(e_1,e_2,e_2)
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[270378288,163223128]),
[] ).
cnf(270847056,plain,
( product(e_1,e_2,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[270663384,153937136]),
[] ).
cnf(231311944,plain,
( ~ product(e_3,e_2,e_4)
| ~ product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[231245648,154176928]),
[] ).
cnf(246798000,plain,
( ~ product(e_1,e_2,e_4)
| product(e_3,e_2,e_3) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[229488040,224568864,145614848,145618576,231311944,145689208]),
[] ).
cnf(271310808,plain,
( product(e_1,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[270663384,246798000]),
[] ).
cnf(162524824,plain,
( product(e_1,e_1,e_2)
| ~ product(e_1,e_3,e_1) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[154098864,154107696,153570696,153921216]),
[] ).
cnf(225330200,plain,
( ~ product(e_2,A,e_3)
| ~ product(A,e_3,e_1) ),
inference(resolution,[status(thm)],[224568864,145716304]),
[] ).
cnf(237967328,plain,
~ product(e_1,e_3,e_1),
inference(forward_subsumption_resolution__resolution,[status(thm)],[162524824,225330200,169771920]),
[] ).
cnf(154482176,plain,
( ~ product(A,B,e_3)
| ~ product(B,e_3,C)
| ~ product(e_2,A,C) ),
inference(resolution,[status(thm)],[145716304,154198336]),
[] ).
cnf(226724392,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_2,e_3,A) ),
inference(resolution,[status(thm)],[224292800,154482176]),
[] ).
cnf(238301304,plain,
( ~ product(e_2,e_3,A)
| product(e_1,e_3,e_4) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[228509616,237967328,145618576,145610848,226724392,145689208]),
[] ).
cnf(231295976,plain,
( ~ product(e_3,e_2,e_4)
| ~ product(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[231245648,153897440]),
[] ).
cnf(244620864,plain,
~ product(e_2,e_3,e_4),
inference(forward_subsumption_resolution__resolution,[status(thm)],[238301304,231295976,224292800]),
[] ).
cnf(270868280,plain,
( product(e_1,e_2,e_2)
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[270663384,154176928]),
[] ).
cnf(197624992,plain,
( ~ product(e_1,e_2,A)
| ~ product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[189060216,153921216]),
[] ).
cnf(293656336,plain,
~ product(e_2,e_3,e_3),
inference(forward_subsumption_resolution__resolution,[status(thm)],[238301304,270868280,197624992]),
[] ).
cnf(238275984,plain,
( ~ product(e_2,e_3,A)
| ~ product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[226724392,232570592]),
[] ).
cnf(365630040,plain,
( ~ product(e_3,e_2,e_3)
| product(e_2,e_3,e_2) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[244620864,293656336,145614848,145618576,238275984,145689208]),
[] ).
cnf(188761120,plain,
( product(e_2,e_1,e_3)
| ~ product(e_2,e_3,e_2) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[184636704,158436528,153921216]),
[] ).
cnf(281119048,plain,
( product(e_1,e_2,e_2)
| ~ product(e_2,e_3,e_2) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[188761120,271310808,154337968]),
[] ).
cnf(366332400,plain,
product(e_1,e_2,e_2),
inference(forward_subsumption_resolution__resolution,[status(thm)],[271310808,365630040,281119048]),
[] ).
cnf(367057456,plain,
( ~ product(A,e_1,e_2)
| product(e_2,A,e_2) ),
inference(resolution,[status(thm)],[366332400,145716304]),
[] ).
cnf(435112448,plain,
( product(e_2,e_3,e_2)
| ~ product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[367057456,253627192]),
[] ).
cnf(154250000,plain,
( ~ product(e_1,A,e_2)
| ~ product(A,e_2,e_4) ),
inference(resolution,[status(thm)],[145716304,154122792]),
[] ).
cnf(154590624,plain,
( ~ product(e_1,A,e_2)
| ~ product(e_2,B,A)
| ~ product(B,A,e_4) ),
inference(resolution,[status(thm)],[154250000,145716304]),
[] ).
cnf(443543944,plain,
~ product(e_3,e_2,e_4),
inference(forward_subsumption_resolution__resolution,[status(thm)],[270847056,435112448,154590624]),
[] ).
cnf(238726488,plain,
( ~ product(e_2,e_3,A)
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[238301304,224292800]),
[] ).
cnf(435080040,plain,
( ~ product(e_3,e_1,e_2)
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[367057456,238726488]),
[] ).
cnf(445339528,plain,
~ product(e_3,e_1,e_2),
inference(resolution,[status(thm)],[443543944,435080040]),
[] ).
cnf(646084824,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[165626120,445339528]),
[] ).
cnf(253623544,plain,
( ~ product(e_3,e_1,e_4)
| product(e_3,e_2,e_3) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[229488040,224568864,145614848,145618576,231760280,145689208]),
[] ).
cnf(366198520,plain,
( ~ product(e_3,e_2,e_3)
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[365630040,238301304]),
[] ).
cnf(224542928,plain,
( ~ product(e_1,e_3,A)
| ~ product(e_3,e_1,A) ),
inference(resolution,[status(thm)],[224082096,154337968]),
[] ).
cnf(394890576,plain,
~ product(e_3,e_1,e_4),
inference(forward_subsumption_resolution__resolution,[status(thm)],[253623544,366198520,224542928]),
[] ).
cnf(645713744,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[165626120,224148272]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[646084824,394890576,645713744,154155408]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 23 seconds
% START OF PROOF SEQUENCE
% fof(element_1,plain,(group_element(e_1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),[]).
%
% cnf(145610848,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/GRP129-2.004.tptp',unknown),[]).
%
% cnf(145618576,plain,(group_element(e_3)),inference(rewrite,[status(thm)],[element_3]),[]).
%
% fof(no_redundancy,plain,(~product(A,e_1,B)|~next(A,C)|~greater(B,C)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),[]).
%
% cnf(145605976,plain,(~product(A,e_1,B)|~next(A,C)|~greater(B,C)),inference(rewrite,[status(thm)],[no_redundancy]),[]).
%
% fof(e_1_then_e_2,plain,(next(e_1,e_2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),[]).
%
% cnf(145547120,plain,(next(e_1,e_2)),inference(rewrite,[status(thm)],[e_1_then_e_2]),[]).
%
% cnf(153784496,plain,(~product(e_1,e_1,A)|~greater(A,e_2)),inference(resolution,[status(thm)],[145605976,145547120]),[]).
%
% fof(e_3_greater_e_2,plain,(greater(e_3,e_2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),[]).
%
% cnf(145570944,plain,(greater(e_3,e_2)),inference(rewrite,[status(thm)],[e_3_greater_e_2]),[]).
%
% cnf(154098864,plain,(~product(e_1,e_1,e_3)),inference(resolution,[status(thm)],[153784496,145570944]),[]).
%
% fof(e_4_greater_e_2,plain,(greater(e_4,e_2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),[]).
%
% cnf(145574672,plain,(greater(e_4,e_2)),inference(rewrite,[status(thm)],[e_4_greater_e_2]),[]).
%
% cnf(154107696,plain,(~product(e_1,e_1,e_4)),inference(resolution,[status(thm)],[153784496,145574672]),[]).
%
% 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)|product(A,B,e_4)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),[]).
%
% cnf(145689208,plain,(~group_element(A)|~group_element(B)|product(A,B,e_1)|product(A,B,e_2)|product(A,B,e_3)|product(A,B,e_4)),inference(rewrite,[status(thm)],[product_total_function1]),[]).
%
% cnf(153570696,plain,(product(e_1,e_1,e_1)|product(e_1,e_1,e_2)|product(e_1,e_1,e_3)|product(e_1,e_1,e_4)),inference(resolution,[status(thm)],[145689208,145610848]),[]).
%
% 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/GRP129-2.004.tptp',unknown),[]).
%
% cnf(145711928,plain,(~product(A,B,C)|~product(D,B,C)|equalish(A,D)),inference(rewrite,[status(thm)],[product_left_cancellation]),[]).
%
% fof(e_1_is_not_e_3,plain,(~equalish(e_1,e_3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),[]).
%
% cnf(145634920,plain,(~equalish(e_1,e_3)),inference(rewrite,[status(thm)],[e_1_is_not_e_3]),[]).
%
% cnf(153937136,plain,(~product(e_1,A,B)|~product(e_3,A,B)),inference(resolution,[status(thm)],[145711928,145634920]),[]).
%
% cnf(162537080,plain,(product(e_1,e_1,e_2)|~product(e_3,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[154098864,154107696,153570696,153937136]),[]).
%
% fof(qg3,plain,(~product(A,B,C)|~product(B,C,D)|product(C,A,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),[]).
%
% cnf(145716304,plain,(~product(A,B,C)|~product(B,C,D)|product(C,A,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/GRP129-2.004.tptp',unknown),[]).
%
% cnf(145708296,plain,(~product(A,B,C)|~product(A,D,C)|equalish(B,D)),inference(rewrite,[status(thm)],[product_right_cancellation]),[]).
%
% cnf(153921216,plain,(~product(A,e_1,B)|~product(A,e_3,B)),inference(resolution,[status(thm)],[145708296,145634920]),[]).
%
% cnf(154369160,plain,(~product(e_3,A,B)|~product(A,B,C)|~product(B,e_1,C)),inference(resolution,[status(thm)],[145716304,153921216]),[]).
%
% cnf(165472480,plain,(~product(e_3,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[162537080,162537080,154369160]),[]).
%
% cnf(165626120,plain,(product(e_3,e_1,e_2)|product(e_3,e_1,e_3)|product(e_3,e_1,e_4)),inference(forward_subsumption_resolution__resolution,[status(thm)],[145610848,145618576,165472480,145689208]),[]).
%
% fof(element_2,plain,(group_element(e_2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),[]).
%
% cnf(145614848,plain,(group_element(e_2)),inference(rewrite,[status(thm)],[element_2]),[]).
%
% fof(e_1_is_not_e_2,plain,(~equalish(e_1,e_2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),[]).
%
% cnf(145630840,plain,(~equalish(e_1,e_2)),inference(rewrite,[status(thm)],[e_1_is_not_e_2]),[]).
%
% cnf(153897440,plain,(~product(e_1,A,B)|~product(e_2,A,B)),inference(resolution,[status(thm)],[145711928,145630840]),[]).
%
% cnf(154344064,plain,(~product(A,B,e_1)|~product(B,e_1,C)|~product(e_2,A,C)),inference(resolution,[status(thm)],[145716304,153897440]),[]).
%
% cnf(154955168,plain,(~product(e_2,e_1,e_1)|~product(e_1,A,e_1)|~product(A,e_1,e_1)),inference(resolution,[status(thm)],[154344064,145716304]),[]).
%
% cnf(156368056,plain,(~product(e_1,e_2,e_1)|~product(e_1,A,e_2)|~product(A,e_2,e_1)),inference(resolution,[status(thm)],[154955168,145716304]),[]).
%
% cnf(162898760,plain,(product(e_1,e_1,e_1)|~product(e_1,e_2,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[154098864,154107696,153570696,156368056]),[]).
%
% cnf(153873312,plain,(~product(A,e_1,B)|~product(A,e_2,B)),inference(resolution,[status(thm)],[145708296,145630840]),[]).
%
% cnf(162503848,plain,(product(e_1,e_1,e_2)|~product(e_1,e_2,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[154098864,154107696,153570696,153873312]),[]).
%
% 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/GRP129-2.004.tptp',unknown),[]).
%
% cnf(145703976,plain,(~product(A,B,C)|~product(A,B,D)|equalish(C,D)),inference(rewrite,[status(thm)],[product_total_function2]),[]).
%
% cnf(153854536,plain,(~product(A,B,e_1)|~product(A,B,e_2)),inference(resolution,[status(thm)],[145703976,145630840]),[]).
%
% cnf(163039760,plain,(~product(e_1,e_2,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[162898760,162503848,153854536]),[]).
%
% cnf(163223128,plain,(product(e_1,e_2,e_2)|product(e_1,e_2,e_3)|product(e_1,e_2,e_4)),inference(forward_subsumption_resolution__resolution,[status(thm)],[145610848,145614848,163039760,145689208]),[]).
%
% cnf(153905976,plain,(~product(A,B,e_1)|~product(A,B,e_3)),inference(resolution,[status(thm)],[145703976,145634920]),[]).
%
% cnf(162512008,plain,(product(e_1,e_1,e_2)|~product(e_2,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[154098864,154107696,153570696,153897440]),[]).
%
% cnf(158427600,plain,(product(e_1,e_1,e_1)|product(e_1,e_1,e_2)|product(e_1,e_1,e_4)),inference(forward_subsumption_resolution__resolution,[status(thm)],[145610848,145689208,154098864]),[]).
%
% cnf(179733000,plain,(product(e_1,e_1,e_1)|product(e_1,e_1,e_2)),inference(resolution,[status(thm)],[158427600,154107696]),[]).
%
% fof(e_4_greater_e_3,plain,(greater(e_4,e_3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),[]).
%
% cnf(145582424,plain,(greater(e_4,e_3)),inference(rewrite,[status(thm)],[e_4_greater_e_3]),[]).
%
% cnf(153835016,plain,(~product(A,e_1,e_4)|~next(A,e_3)),inference(resolution,[status(thm)],[145605976,145582424]),[]).
%
% fof(e_2_then_e_3,plain,(next(e_2,e_3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),[]).
%
% cnf(145551248,plain,(next(e_2,e_3)),inference(rewrite,[status(thm)],[e_2_then_e_3]),[]).
%
% cnf(154122792,plain,(~product(e_2,e_1,e_4)),inference(resolution,[status(thm)],[153835016,145551248]),[]).
%
% cnf(154337968,plain,(~product(e_2,A,B)|~product(A,B,C)|~product(B,e_1,C)),inference(resolution,[status(thm)],[145716304,153873312]),[]).
%
% cnf(154910120,plain,(~product(e_1,e_2,e_2)|~product(e_1,A,e_2)|~product(A,e_2,e_2)),inference(resolution,[status(thm)],[154337968,145716304]),[]).
%
% cnf(156293320,plain,(~product(e_1,e_1,e_2)|~product(e_2,A,e_1)|~product(A,e_1,e_2)),inference(resolution,[status(thm)],[154910120,145716304]),[]).
%
% cnf(162893392,plain,(product(e_1,e_1,e_1)|~product(e_2,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[154098864,154107696,153570696,156293320]),[]).
%
% cnf(157433816,plain,(~product(e_1,e_1,e_2)|~product(e_2,A,e_1)|~product(A,e_1,e_1)),inference(resolution,[status(thm)],[156368056,145716304]),[]).
%
% cnf(168571688,plain,(~product(e_2,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[162512008,162893392,157433816]),[]).
%
% cnf(162515600,plain,(product(e_1,e_1,e_1)|~product(e_2,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[154098864,154107696,153570696,153897440]),[]).
%
% cnf(163903576,plain,(~product(e_2,e_1,e_2)|~product(e_1,e_1,e_2)),inference(resolution,[status(thm)],[162515600,153854536]),[]).
%
% cnf(169771920,plain,(~product(e_1,e_1,e_2)|product(e_2,e_1,e_3)),inference(forward_subsumption_resolution__resolution,[status(thm)],[154122792,168571688,145614848,145610848,163903576,145689208]),[]).
%
% cnf(180314008,plain,(product(e_1,e_1,e_1)|product(e_2,e_1,e_3)),inference(resolution,[status(thm)],[179733000,169771920]),[]).
%
% cnf(157408824,plain,(~product(e_2,e_1,e_1)|~product(e_1,A,e_1)|~product(A,e_1,e_2)),inference(resolution,[status(thm)],[156293320,145716304]),[]).
%
% cnf(184636704,plain,(~product(e_2,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[153905976,162512008,180314008,157408824]),[]).
%
% cnf(158436528,plain,(product(e_2,e_1,e_1)|product(e_2,e_1,e_2)|product(e_2,e_1,e_3)),inference(forward_subsumption_resolution__resolution,[status(thm)],[145610848,145614848,145689208,154122792]),[]).
%
% cnf(154349440,plain,(~product(A,B,e_2)|~product(B,e_2,C)|~product(e_1,A,C)),inference(resolution,[status(thm)],[145716304,153897440]),[]).
%
% cnf(189060216,plain,(product(e_2,e_1,e_3)|~product(e_1,e_2,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[184636704,158436528,154349440]),[]).
%
% cnf(223390008,plain,(product(e_1,e_2,e_2)|product(e_1,e_2,e_4)|product(e_2,e_1,e_3)),inference(resolution,[status(thm)],[163223128,189060216]),[]).
%
% cnf(154316960,plain,(~product(A,B,C)|~product(B,C,e_1)|~product(C,A,e_2)),inference(resolution,[status(thm)],[145716304,153854536]),[]).
%
% cnf(184411032,plain,(product(e_2,e_1,e_3)|~product(A,e_1,e_1)|~product(e_1,A,e_2)),inference(resolution,[status(thm)],[180314008,154316960]),[]).
%
% fof(e_2_is_not_e_3,plain,(~equalish(e_2,e_3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),[]).
%
% cnf(145646072,plain,(~equalish(e_2,e_3)),inference(rewrite,[status(thm)],[e_2_is_not_e_3]),[]).
%
% cnf(154155408,plain,(~product(A,B,e_2)|~product(A,B,e_3)),inference(resolution,[status(thm)],[145703976,145646072]),[]).
%
% cnf(154925360,plain,(~product(e_2,e_1,e_2)|~product(e_2,A,e_2)|~product(A,e_2,e_2)),inference(resolution,[status(thm)],[154337968,145716304]),[]).
%
% cnf(189123344,plain,(~product(e_2,e_1,e_2)|~product(e_1,e_2,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[184411032,154155408,158436528,154925360]),[]).
%
% cnf(197640992,plain,(~product(e_1,e_2,A)|~product(e_2,e_1,e_2)),inference(resolution,[status(thm)],[189060216,154155408]),[]).
%
% cnf(223643120,plain,(~product(e_2,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[223390008,189123344,197640992,163223128,154337968]),[]).
%
% cnf(163686032,plain,(~product(e_2,e_1,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[162893392,162512008,153854536]),[]).
%
% cnf(188710656,plain,(product(e_2,e_1,e_2)|product(e_2,e_1,e_3)),inference(resolution,[status(thm)],[158436528,163686032]),[]).
%
% cnf(224082096,plain,(product(e_2,e_1,e_3)),inference(resolution,[status(thm)],[223643120,188710656]),[]).
%
% cnf(224296504,plain,(~product(A,e_2,e_1)|product(e_1,A,e_3)),inference(resolution,[status(thm)],[224082096,145716304]),[]).
%
% cnf(154359384,plain,(~product(A,B,C)|~product(B,C,e_3)|~product(C,A,e_1)),inference(resolution,[status(thm)],[145716304,153905976]),[]).
%
% cnf(224568864,plain,(~product(e_3,e_2,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[224296504,224082096,154359384]),[]).
%
% cnf(224292800,plain,(~product(e_1,e_3,A)|product(e_3,e_2,A)),inference(resolution,[status(thm)],[224082096,145716304]),[]).
%
% cnf(226089728,plain,(~product(e_1,e_3,e_1)),inference(resolution,[status(thm)],[224292800,224568864]),[]).
%
% cnf(224102032,plain,(~product(e_1,A,e_2)|~product(A,e_2,e_2)),inference(resolution,[status(thm)],[223643120,145716304]),[]).
%
% cnf(228509616,plain,(~product(e_1,e_3,e_2)),inference(resolution,[status(thm)],[224102032,224292800]),[]).
%
% fof(e_4_is_not_e_2,plain,(~equalish(e_4,e_2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),[]).
%
% cnf(145672352,plain,(~equalish(e_4,e_2)),inference(rewrite,[status(thm)],[e_4_is_not_e_2]),[]).
%
% cnf(153959656,plain,(~product(A,B,e_4)|~product(A,B,e_2)),inference(resolution,[status(thm)],[145703976,145672352]),[]).
%
% cnf(154385080,plain,(~product(A,B,C)|~product(B,C,e_4)|~product(C,A,e_2)),inference(resolution,[status(thm)],[145716304,153959656]),[]).
%
% cnf(224589384,plain,(~product(e_1,e_3,e_4)|~product(e_3,e_2,e_2)),inference(resolution,[status(thm)],[224082096,154385080]),[]).
%
% cnf(229081152,plain,(~product(e_3,e_2,e_2)|product(e_1,e_3,e_3)),inference(forward_subsumption_resolution__resolution,[status(thm)],[226089728,228509616,145618576,145610848,224589384,145689208]),[]).
%
% cnf(229488040,plain,(~product(e_3,e_2,e_2)|product(e_3,e_2,e_3)),inference(resolution,[status(thm)],[229081152,224292800]),[]).
%
% cnf(230005384,plain,(~product(e_3,e_2,e_2)),inference(resolution,[status(thm)],[229488040,154155408]),[]).
%
% fof(e_3_is_not_e_4,plain,(~equalish(e_3,e_4)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/GRP/GRP129-2.004.tptp',unknown),[]).
%
% cnf(145664896,plain,(~equalish(e_3,e_4)),inference(rewrite,[status(thm)],[e_3_is_not_e_4]),[]).
%
% cnf(154163936,plain,(~product(A,B,e_3)|~product(A,B,e_4)),inference(resolution,[status(thm)],[145703976,145664896]),[]).
%
% cnf(154437360,plain,(~product(A,B,C)|~product(B,C,e_4)|~product(C,A,e_3)),inference(resolution,[status(thm)],[145716304,154163936]),[]).
%
% cnf(224660728,plain,(~product(e_1,e_3,e_4)|~product(e_3,e_2,e_3)),inference(resolution,[status(thm)],[224082096,154437360]),[]).
%
% cnf(232570592,plain,(~product(e_3,e_2,e_3)|product(e_1,e_3,e_3)),inference(forward_subsumption_resolution__resolution,[status(thm)],[226089728,228509616,145610848,145618576,224660728,145689208]),[]).
%
% cnf(154176928,plain,(~product(A,e_2,B)|~product(A,e_3,B)),inference(resolution,[status(thm)],[145708296,145646072]),[]).
%
% cnf(232629608,plain,(~product(e_3,e_2,e_3)|~product(e_1,e_2,e_3)),inference(resolution,[status(thm)],[232570592,154176928]),[]).
%
% cnf(267799952,plain,(~product(e_1,e_2,e_3)|product(e_3,e_2,e_4)),inference(forward_subsumption_resolution__resolution,[status(thm)],[224568864,230005384,145618576,145614848,232629608,145689208]),[]).
%
% cnf(154198336,plain,(~product(e_2,A,B)|~product(e_3,A,B)),inference(resolution,[status(thm)],[145711928,145646072]),[]).
%
% cnf(189544792,plain,(product(e_2,e_1,e_2)|~product(e_3,e_1,e_3)),inference(resolution,[status(thm)],[188710656,154198336]),[]).
%
% cnf(224148272,plain,(~product(e_3,e_1,e_3)),inference(resolution,[status(thm)],[223643120,189544792]),[]).
%
% cnf(154433568,plain,(~product(A,B,C)|~product(B,C,e_3)|~product(C,A,e_4)),inference(resolution,[status(thm)],[145716304,154163936]),[]).
%
% cnf(224647936,plain,(~product(e_1,e_3,e_3)|~product(e_3,e_2,e_4)),inference(resolution,[status(thm)],[224082096,154433568]),[]).
%
% cnf(231245648,plain,(~product(e_3,e_2,e_4)|product(e_1,e_3,e_4)),inference(forward_subsumption_resolution__resolution,[status(thm)],[228509616,226089728,145610848,145618576,224647936,145689208]),[]).
%
% cnf(231760280,plain,(~product(e_3,e_2,e_4)|~product(e_3,e_1,e_4)),inference(forward_subsumption_resolution__resolution,[status(thm)],[224082096,231245648,154337968]),[]).
%
% cnf(253627192,plain,(~product(e_3,e_2,e_4)|product(e_3,e_1,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[165472480,224148272,145618576,145610848,231760280,145689208]),[]).
%
% cnf(268258832,plain,(~product(e_1,e_2,e_3)|product(e_3,e_1,e_2)),inference(resolution,[status(thm)],[267799952,253627192]),[]).
%
% cnf(224579528,plain,(~product(e_3,A,e_2)|~product(A,e_2,e_3)),inference(resolution,[status(thm)],[224082096,154369160]),[]).
%
% cnf(270378288,plain,(~product(e_1,e_2,e_3)),inference(resolution,[status(thm)],[268258832,224579528]),[]).
%
% cnf(270663384,plain,(product(e_1,e_2,e_2)|product(e_1,e_2,e_4)),inference(resolution,[status(thm)],[270378288,163223128]),[]).
%
% cnf(270847056,plain,(product(e_1,e_2,e_2)|~product(e_3,e_2,e_4)),inference(resolution,[status(thm)],[270663384,153937136]),[]).
%
% cnf(231311944,plain,(~product(e_3,e_2,e_4)|~product(e_1,e_2,e_4)),inference(resolution,[status(thm)],[231245648,154176928]),[]).
%
% cnf(246798000,plain,(~product(e_1,e_2,e_4)|product(e_3,e_2,e_3)),inference(forward_subsumption_resolution__resolution,[status(thm)],[229488040,224568864,145614848,145618576,231311944,145689208]),[]).
%
% cnf(271310808,plain,(product(e_1,e_2,e_2)|product(e_3,e_2,e_3)),inference(resolution,[status(thm)],[270663384,246798000]),[]).
%
% cnf(162524824,plain,(product(e_1,e_1,e_2)|~product(e_1,e_3,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[154098864,154107696,153570696,153921216]),[]).
%
% cnf(225330200,plain,(~product(e_2,A,e_3)|~product(A,e_3,e_1)),inference(resolution,[status(thm)],[224568864,145716304]),[]).
%
% cnf(237967328,plain,(~product(e_1,e_3,e_1)),inference(forward_subsumption_resolution__resolution,[status(thm)],[162524824,225330200,169771920]),[]).
%
% cnf(154482176,plain,(~product(A,B,e_3)|~product(B,e_3,C)|~product(e_2,A,C)),inference(resolution,[status(thm)],[145716304,154198336]),[]).
%
% cnf(226724392,plain,(~product(e_1,e_3,e_3)|~product(e_2,e_3,A)),inference(resolution,[status(thm)],[224292800,154482176]),[]).
%
% cnf(238301304,plain,(~product(e_2,e_3,A)|product(e_1,e_3,e_4)),inference(forward_subsumption_resolution__resolution,[status(thm)],[228509616,237967328,145618576,145610848,226724392,145689208]),[]).
%
% cnf(231295976,plain,(~product(e_3,e_2,e_4)|~product(e_2,e_3,e_4)),inference(resolution,[status(thm)],[231245648,153897440]),[]).
%
% cnf(244620864,plain,(~product(e_2,e_3,e_4)),inference(forward_subsumption_resolution__resolution,[status(thm)],[238301304,231295976,224292800]),[]).
%
% cnf(270868280,plain,(product(e_1,e_2,e_2)|~product(e_1,e_3,e_4)),inference(resolution,[status(thm)],[270663384,154176928]),[]).
%
% cnf(197624992,plain,(~product(e_1,e_2,A)|~product(e_2,e_3,e_3)),inference(resolution,[status(thm)],[189060216,153921216]),[]).
%
% cnf(293656336,plain,(~product(e_2,e_3,e_3)),inference(forward_subsumption_resolution__resolution,[status(thm)],[238301304,270868280,197624992]),[]).
%
% cnf(238275984,plain,(~product(e_2,e_3,A)|~product(e_3,e_2,e_3)),inference(resolution,[status(thm)],[226724392,232570592]),[]).
%
% cnf(365630040,plain,(~product(e_3,e_2,e_3)|product(e_2,e_3,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[244620864,293656336,145614848,145618576,238275984,145689208]),[]).
%
% cnf(188761120,plain,(product(e_2,e_1,e_3)|~product(e_2,e_3,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[184636704,158436528,153921216]),[]).
%
% cnf(281119048,plain,(product(e_1,e_2,e_2)|~product(e_2,e_3,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[188761120,271310808,154337968]),[]).
%
% cnf(366332400,plain,(product(e_1,e_2,e_2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[271310808,365630040,281119048]),[]).
%
% cnf(367057456,plain,(~product(A,e_1,e_2)|product(e_2,A,e_2)),inference(resolution,[status(thm)],[366332400,145716304]),[]).
%
% cnf(435112448,plain,(product(e_2,e_3,e_2)|~product(e_3,e_2,e_4)),inference(resolution,[status(thm)],[367057456,253627192]),[]).
%
% cnf(154250000,plain,(~product(e_1,A,e_2)|~product(A,e_2,e_4)),inference(resolution,[status(thm)],[145716304,154122792]),[]).
%
% cnf(154590624,plain,(~product(e_1,A,e_2)|~product(e_2,B,A)|~product(B,A,e_4)),inference(resolution,[status(thm)],[154250000,145716304]),[]).
%
% cnf(443543944,plain,(~product(e_3,e_2,e_4)),inference(forward_subsumption_resolution__resolution,[status(thm)],[270847056,435112448,154590624]),[]).
%
% cnf(238726488,plain,(~product(e_2,e_3,A)|product(e_3,e_2,e_4)),inference(resolution,[status(thm)],[238301304,224292800]),[]).
%
% cnf(435080040,plain,(~product(e_3,e_1,e_2)|product(e_3,e_2,e_4)),inference(resolution,[status(thm)],[367057456,238726488]),[]).
%
% cnf(445339528,plain,(~product(e_3,e_1,e_2)),inference(resolution,[status(thm)],[443543944,435080040]),[]).
%
% cnf(646084824,plain,(product(e_3,e_1,e_3)|product(e_3,e_1,e_4)),inference(resolution,[status(thm)],[165626120,445339528]),[]).
%
% cnf(253623544,plain,(~product(e_3,e_1,e_4)|product(e_3,e_2,e_3)),inference(forward_subsumption_resolution__resolution,[status(thm)],[229488040,224568864,145614848,145618576,231760280,145689208]),[]).
%
% cnf(366198520,plain,(~product(e_3,e_2,e_3)|product(e_1,e_3,e_4)),inference(resolution,[status(thm)],[365630040,238301304]),[]).
%
% cnf(224542928,plain,(~product(e_1,e_3,A)|~product(e_3,e_1,A)),inference(resolution,[status(thm)],[224082096,154337968]),[]).
%
% cnf(394890576,plain,(~product(e_3,e_1,e_4)),inference(forward_subsumption_resolution__resolution,[status(thm)],[253623544,366198520,224542928]),[]).
%
% cnf(645713744,plain,(product(e_3,e_1,e_2)|product(e_3,e_1,e_4)),inference(resolution,[status(thm)],[165626120,224148272]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[646084824,394890576,645713744,154155408]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------