TSTP Solution File: GRP579-1 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP579-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 08:48:03 EDT 2022
% Result : Unsatisfiable 0.74s 1.29s
% Output : Refutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 3
% Syntax : Number of clauses : 76 ( 76 unt; 0 nHn; 8 RR)
% Number of literals : 76 ( 0 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 143 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)),C),
file('GRP579-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),double_divide(double_divide(B,A),identity)),
file('GRP579-1.p',unknown),
[] ).
cnf(3,plain,
equal(inverse(A),double_divide(A,identity)),
file('GRP579-1.p',unknown),
[] ).
cnf(4,plain,
equal(double_divide(A,double_divide(A,identity)),identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[3]),1]),
[iquote('demod([3]),flip(1)')] ).
cnf(5,plain,
~ equal(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[2,2,2,2]),1]),
[iquote('demod([2,2,2,2]),flip(1)')] ).
cnf(6,plain,
equal(double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(A,B),double_divide(double_divide(C,double_divide(double_divide(double_divide(D,C),A),double_divide(D,identity))),identity))),double_divide(identity,identity)),B),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(8,plain,
equal(double_divide(double_divide(double_divide(A,double_divide(identity,B)),C),double_divide(A,identity)),double_divide(double_divide(B,C),double_divide(identity,identity))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[1,1]),1]),
[iquote('para(1,1),flip(1)')] ).
cnf(9,plain,
equal(double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(identity,B),double_divide(A,identity))),double_divide(identity,identity)),B),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(10,plain,
equal(double_divide(double_divide(A,double_divide(identity,double_divide(B,identity))),double_divide(identity,identity)),double_divide(double_divide(B,A),identity)),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(11,plain,
equal(double_divide(double_divide(A,B),identity),double_divide(double_divide(B,double_divide(identity,double_divide(A,identity))),double_divide(identity,identity))),
inference(flip,[status(thm),theory(equality)],[10]),
[iquote('flip(10)')] ).
cnf(12,plain,
equal(double_divide(double_divide(double_divide(A,identity),double_divide(identity,double_divide(A,identity))),double_divide(identity,identity)),double_divide(identity,identity)),
inference(para,[status(thm),theory(equality)],[4,9]),
[iquote('para(4,9)')] ).
cnf(13,plain,
equal(double_divide(double_divide(double_divide(double_divide(identity,A),identity),identity),double_divide(identity,identity)),A),
inference(para,[status(thm),theory(equality)],[4,9]),
[iquote('para(4,9)')] ).
cnf(14,plain,
equal(double_divide(double_divide(A,identity),double_divide(identity,identity)),double_divide(double_divide(identity,A),identity)),
inference(para,[status(thm),theory(equality)],[4,10]),
[iquote('para(4,10)')] ).
cnf(15,plain,
equal(double_divide(double_divide(identity,A),identity),double_divide(double_divide(A,identity),double_divide(identity,identity))),
inference(flip,[status(thm),theory(equality)],[14]),
[iquote('flip(14)')] ).
cnf(18,plain,
equal(double_divide(double_divide(double_divide(identity,identity),identity),double_divide(identity,identity)),double_divide(identity,identity)),
inference(para,[status(thm),theory(equality)],[4,12]),
[iquote('para(4,12)')] ).
cnf(19,plain,
equal(double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(A,B),double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(C,A),double_divide(double_divide(D,double_divide(double_divide(double_divide(E,D),C),double_divide(E,identity))),identity))),identity))),double_divide(identity,identity)),B),
inference(para,[status(thm),theory(equality)],[6,1]),
[iquote('para(6,1)')] ).
cnf(21,plain,
equal(double_divide(double_divide(identity,A),double_divide(identity,identity)),double_divide(double_divide(B,A),double_divide(double_divide(C,double_divide(double_divide(double_divide(D,C),B),double_divide(D,identity))),identity))),
inference(para,[status(thm),theory(equality)],[6,1]),
[iquote('para(6,1)')] ).
cnf(22,plain,
equal(double_divide(double_divide(A,B),double_divide(double_divide(C,double_divide(double_divide(double_divide(D,C),A),double_divide(D,identity))),identity)),double_divide(double_divide(identity,B),double_divide(identity,identity))),
inference(flip,[status(thm),theory(equality)],[21]),
[iquote('flip(21)')] ).
cnf(24,plain,
equal(double_divide(double_divide(identity,double_divide(double_divide(identity,A),identity)),identity),A),
inference(para,[status(thm),theory(equality)],[14,13]),
[iquote('para(14,13)')] ).
cnf(26,plain,
equal(double_divide(double_divide(double_divide(identity,identity),double_divide(identity,double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),identity))),double_divide(identity,identity)),double_divide(C,identity)),
inference(para,[status(thm),theory(equality)],[4,6]),
[iquote('para(4,6)')] ).
cnf(27,plain,
equal(double_divide(double_divide(double_divide(A,B),B),double_divide(A,identity)),double_divide(identity,identity)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,6]),18]),1]),
[iquote('para(4,6),demod([18]),flip(1)')] ).
cnf(34,plain,
equal(double_divide(double_divide(double_divide(A,identity),double_divide(identity,identity)),double_divide(identity,identity)),double_divide(double_divide(identity,double_divide(identity,A)),identity)),
inference(para,[status(thm),theory(equality)],[15,14]),
[iquote('para(15,14)')] ).
cnf(40,plain,
equal(double_divide(double_divide(double_divide(identity,A),double_divide(double_divide(A,B),double_divide(identity,identity))),double_divide(identity,identity)),B),
inference(para,[status(thm),theory(equality)],[8,1]),
[iquote('para(8,1)')] ).
cnf(41,plain,
equal(double_divide(double_divide(double_divide(identity,A),identity),double_divide(identity,identity)),double_divide(A,identity)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[4,40]),4]),
[iquote('para(4,40),demod([4])')] ).
cnf(42,plain,
equal(double_divide(double_divide(double_divide(identity,A),identity),identity),double_divide(A,double_divide(identity,identity))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[24,41]),1]),
[iquote('para(24,41),flip(1)')] ).
cnf(43,plain,
equal(double_divide(double_divide(A,double_divide(identity,identity)),double_divide(identity,identity)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[13]),42]),
[iquote('back_demod(13),demod([42])')] ).
cnf(45,plain,
equal(double_divide(double_divide(identity,double_divide(identity,A)),identity),double_divide(A,identity)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[34]),43]),1]),
[iquote('back_demod(34),demod([43]),flip(1)')] ).
cnf(58,plain,
equal(double_divide(double_divide(identity,identity),double_divide(identity,identity)),double_divide(double_divide(identity,A),A)),
inference(para,[status(thm),theory(equality)],[27,43]),
[iquote('para(27,43)')] ).
cnf(59,plain,
equal(double_divide(double_divide(identity,A),A),double_divide(double_divide(identity,identity),double_divide(identity,identity))),
inference(flip,[status(thm),theory(equality)],[58]),
[iquote('flip(58)')] ).
cnf(64,plain,
equal(double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(double_divide(A,B),identity),double_divide(double_divide(C,double_divide(double_divide(double_divide(D,C),double_divide(B,double_divide(identity,double_divide(A,identity)))),double_divide(D,identity))),identity))),double_divide(identity,identity)),double_divide(identity,identity)),
inference(para,[status(thm),theory(equality)],[10,6]),
[iquote('para(10,6)')] ).
cnf(68,plain,
equal(double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(A,identity),identity)),double_divide(identity,identity)),double_divide(identity,double_divide(A,identity))),
inference(para,[status(thm),theory(equality)],[10,9]),
[iquote('para(10,9)')] ).
cnf(74,plain,
equal(double_divide(double_divide(identity,identity),double_divide(identity,identity)),identity),
inference(para,[status(thm),theory(equality)],[59,43]),
[iquote('para(59,43)')] ).
cnf(81,plain,
equal(double_divide(identity,identity),identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[74,43]),4]),1]),
[iquote('para(74,43),demod([4]),flip(1)')] ).
cnf(92,plain,
equal(double_divide(double_divide(identity,double_divide(double_divide(A,identity),identity)),identity),double_divide(identity,double_divide(A,identity))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[68]),81,81]),
[iquote('back_demod(68),demod([81,81])')] ).
cnf(96,plain,
equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(double_divide(C,double_divide(double_divide(double_divide(D,C),double_divide(B,double_divide(identity,double_divide(A,identity)))),double_divide(D,identity))),identity))),identity),identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[64]),81,81,81]),
[iquote('back_demod(64),demod([81,81,81])')] ).
cnf(113,plain,
equal(double_divide(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),identity),identity),double_divide(C,identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[26]),81,81,45]),
[iquote('back_demod(26),demod([81,81,45])')] ).
cnf(116,plain,
equal(double_divide(double_divide(identity,double_divide(double_divide(A,B),double_divide(double_divide(identity,double_divide(double_divide(C,A),double_divide(double_divide(D,double_divide(double_divide(double_divide(E,D),C),double_divide(E,identity))),identity))),identity))),identity),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[19]),81,81,81]),
[iquote('back_demod(19),demod([81,81,81])')] ).
cnf(117,plain,
equal(double_divide(double_divide(identity,double_divide(double_divide(A,B),double_divide(double_divide(C,double_divide(double_divide(double_divide(D,C),A),double_divide(D,identity))),identity))),identity),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6]),81,81]),
[iquote('back_demod(6),demod([81,81])')] ).
cnf(118,plain,
equal(double_divide(double_divide(identity,double_divide(double_divide(A,B),A)),identity),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[116]),117]),
[iquote('back_demod(116),demod([117])')] ).
cnf(122,plain,
equal(double_divide(double_divide(A,identity),identity),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[43]),81,81]),
[iquote('back_demod(43),demod([81,81])')] ).
cnf(124,plain,
equal(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(C,identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[113]),122]),
[iquote('back_demod(113),demod([122])')] ).
cnf(128,plain,
equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(A,B),identity),double_divide(B,double_divide(identity,double_divide(A,identity))))),identity),identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[96]),124,122]),
[iquote('back_demod(96),demod([124,122])')] ).
cnf(131,plain,
equal(double_divide(double_divide(A,B),A),double_divide(double_divide(identity,B),identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[22]),124,122,81]),
[iquote('back_demod(22),demod([124,122,81])')] ).
cnf(132,plain,
equal(double_divide(double_divide(identity,A),identity),double_divide(double_divide(B,A),B)),
inference(flip,[status(thm),theory(equality)],[131]),
[iquote('flip(131)')] ).
cnf(134,plain,
equal(double_divide(double_divide(identity,A),identity),double_divide(identity,double_divide(A,identity))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[92]),122]),
[iquote('back_demod(92),demod([122])')] ).
cnf(135,plain,
equal(double_divide(double_divide(A,B),A),double_divide(identity,double_divide(B,identity))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[132]),134]),1]),
[iquote('back_demod(132),demod([134]),flip(1)')] ).
cnf(137,plain,
equal(double_divide(identity,double_divide(double_divide(double_divide(double_divide(A,B),identity),double_divide(B,double_divide(identity,double_divide(A,identity)))),identity)),identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[128]),135]),
[iquote('back_demod(128),demod([135])')] ).
cnf(140,plain,
equal(double_divide(identity,double_divide(identity,A)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[118]),135,135,135,122]),
[iquote('back_demod(118),demod([135,135,135,122])')] ).
cnf(146,plain,
equal(double_divide(identity,A),double_divide(A,identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[42]),135,135,122,81]),
[iquote('back_demod(42),demod([135,135,122,81])')] ).
cnf(147,plain,
equal(double_divide(A,identity),double_divide(identity,A)),
inference(flip,[status(thm),theory(equality)],[146]),
[iquote('flip(146)')] ).
cnf(148,plain,
equal(double_divide(identity,double_divide(A,identity)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[15]),135,81,122]),
[iquote('back_demod(15),demod([135,81,122])')] ).
cnf(156,plain,
equal(double_divide(double_divide(double_divide(A,B),identity),double_divide(B,A)),identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[137]),148,148]),
[iquote('back_demod(137),demod([148,148])')] ).
cnf(157,plain,
equal(double_divide(double_divide(A,B),A),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[135]),148]),
[iquote('back_demod(135),demod([148])')] ).
cnf(166,plain,
equal(double_divide(double_divide(A,B),identity),double_divide(double_divide(B,A),identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[11]),148,81]),
[iquote('back_demod(11),demod([148,81])')] ).
cnf(171,plain,
equal(double_divide(double_divide(double_divide(A,B),B),double_divide(A,identity)),identity),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[27]),81]),
[iquote('back_demod(27),demod([81])')] ).
cnf(191,plain,
equal(double_divide(double_divide(identity,double_divide(A,B)),double_divide(B,A)),identity),
inference(para,[status(thm),theory(equality)],[147,156]),
[iquote('para(147,156)')] ).
cnf(199,plain,
equal(double_divide(A,B),double_divide(B,A)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[166,122]),122]),
[iquote('para(166,122),demod([122])')] ).
cnf(202,plain,
equal(double_divide(double_divide(A,B),identity),double_divide(identity,double_divide(B,A))),
inference(para,[status(thm),theory(equality)],[166,147]),
[iquote('para(166,147)')] ).
cnf(225,plain,
~ equal(double_divide(identity,double_divide(double_divide(identity,double_divide(a3,b3)),c3)),double_divide(identity,double_divide(a3,double_divide(identity,double_divide(b3,c3))))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[5]),202,202,202,202]),1]),
[iquote('back_demod(5),demod([202,202,202,202]),flip(1)')] ).
cnf(228,plain,
equal(double_divide(A,double_divide(identity,double_divide(B,double_divide(identity,A)))),double_divide(B,identity)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[81,124]),202]),
[iquote('para(81,124),demod([202])')] ).
cnf(237,plain,
equal(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(identity,B))),double_divide(C,identity)),
inference(para,[status(thm),theory(equality)],[147,124]),
[iquote('para(147,124)')] ).
cnf(245,plain,
equal(double_divide(A,double_divide(A,B)),B),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[171,124]),202,140,202,140]),
[iquote('para(171,124),demod([202,140,202,140])')] ).
cnf(246,plain,
equal(double_divide(double_divide(A,B),B),A),
inference(para,[status(thm),theory(equality)],[157,245]),
[iquote('para(157,245)')] ).
cnf(313,plain,
equal(double_divide(double_divide(A,B),double_divide(double_divide(identity,C),double_divide(B,A))),double_divide(C,identity)),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[191,124]),157]),
[iquote('para(191,124),demod([157])')] ).
cnf(325,plain,
equal(double_divide(A,double_divide(identity,B)),double_divide(identity,double_divide(B,double_divide(identity,A)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[157,228]),202]),
[iquote('para(157,228),demod([202])')] ).
cnf(328,plain,
equal(double_divide(A,double_divide(B,identity)),double_divide(identity,double_divide(B,double_divide(identity,A)))),
inference(para,[status(thm),theory(equality)],[228,245]),
[iquote('para(228,245)')] ).
cnf(391,plain,
equal(double_divide(identity,double_divide(double_divide(identity,A),B)),double_divide(A,double_divide(identity,B))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[246,228]),202]),1]),
[iquote('para(246,228),demod([202]),flip(1)')] ).
cnf(399,plain,
~ equal(double_divide(double_divide(a3,b3),double_divide(identity,c3)),double_divide(identity,double_divide(a3,double_divide(identity,double_divide(b3,c3))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[225]),391]),
[iquote('back_demod(225),demod([391])')] ).
cnf(498,plain,
equal(double_divide(double_divide(identity,A),B),double_divide(identity,double_divide(A,double_divide(identity,B)))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[325,199]),1]),
[iquote('para(325,199),flip(1)')] ).
cnf(511,plain,
equal(double_divide(double_divide(A,B),double_divide(identity,double_divide(C,double_divide(identity,double_divide(B,A))))),double_divide(C,identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[313]),498]),
[iquote('back_demod(313),demod([498])')] ).
cnf(566,plain,
equal(double_divide(double_divide(A,identity),B),double_divide(identity,double_divide(A,double_divide(identity,B)))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[328,199]),1]),
[iquote('para(328,199),flip(1)')] ).
cnf(830,plain,
equal(double_divide(A,double_divide(identity,double_divide(B,C))),double_divide(B,double_divide(identity,double_divide(C,A)))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[228,237]),566,245,157]),
[iquote('para(228,237),demod([566,245,157])')] ).
cnf(1037,plain,
equal(double_divide(identity,double_divide(double_divide(A,B),double_divide(identity,C))),double_divide(A,double_divide(identity,double_divide(B,C)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[830,199]),498]),1]),
[iquote('para(830,199),demod([498]),flip(1)')] ).
cnf(1054,plain,
~ equal(double_divide(double_divide(b3,a3),double_divide(identity,c3)),double_divide(identity,double_divide(a3,double_divide(identity,double_divide(b3,c3))))),
inference(para,[status(thm),theory(equality)],[199,399]),
[iquote('para(199,399)')] ).
cnf(1179,plain,
equal(double_divide(double_divide(A,B),double_divide(identity,C)),double_divide(identity,double_divide(B,double_divide(identity,double_divide(A,C))))),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[246,511]),202,498,1037]),
[iquote('para(246,511),demod([202,498,1037])')] ).
cnf(1180,plain,
$false,
inference(conflict,[status(thm)],[1179,1054]),
[iquote('conflict(1179,1054)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GRP579-1 : TPTP v8.1.0. Released v2.6.0.
% 0.13/0.14 % Command : tptp2X_and_run_eqp %s
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 12:21:40 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.74/1.29 ----- EQP 0.9e, May 2009 -----
% 0.74/1.29 The job began on n003.cluster.edu, Tue Jun 14 12:21:41 2022
% 0.74/1.29 The command was "./eqp09e".
% 0.74/1.29
% 0.74/1.29 set(prolog_style_variables).
% 0.74/1.29 set(lrpo).
% 0.74/1.29 set(basic_paramod).
% 0.74/1.29 set(functional_subsume).
% 0.74/1.29 set(ordered_paramod).
% 0.74/1.29 set(prime_paramod).
% 0.74/1.29 set(para_pairs).
% 0.74/1.29 assign(pick_given_ratio,4).
% 0.74/1.29 clear(print_kept).
% 0.74/1.29 clear(print_new_demod).
% 0.74/1.29 clear(print_back_demod).
% 0.74/1.29 clear(print_given).
% 0.74/1.29 assign(max_mem,64000).
% 0.74/1.29 end_of_commands.
% 0.74/1.29
% 0.74/1.29 Usable:
% 0.74/1.29 end_of_list.
% 0.74/1.29
% 0.74/1.29 Sos:
% 0.74/1.29 0 (wt=-1) [] double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C.
% 0.74/1.29 0 (wt=-1) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.74/1.29 0 (wt=-1) [] inverse(A) = double_divide(A,identity).
% 0.74/1.29 0 (wt=-1) [] identity = double_divide(A,inverse(A)).
% 0.74/1.29 0 (wt=-1) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 0.74/1.29 end_of_list.
% 0.74/1.29
% 0.74/1.29 Demodulators:
% 0.74/1.29 end_of_list.
% 0.74/1.29
% 0.74/1.29 Passive:
% 0.74/1.29 end_of_list.
% 0.74/1.29
% 0.74/1.29 Starting to process input.
% 0.74/1.29
% 0.74/1.29 ** KEPT: 1 (wt=17) [] double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C.
% 0.74/1.29 1 is a new demodulator.
% 0.74/1.29
% 0.74/1.29 ** KEPT: 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.74/1.29 2 is a new demodulator.
% 0.74/1.29
% 0.74/1.29 ** KEPT: 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.74/1.29 3 is a new demodulator.
% 0.74/1.29
% 0.74/1.29 ** KEPT: 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.74/1.29 4 is a new demodulator.
% 0.74/1.29
% 0.74/1.29 ** KEPT: 5 (wt=19) [demod([2,2,2,2]),flip(1)] -(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) = double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity)).
% 0.74/1.29 ---------------- PROOF FOUND ----------------
% 0.74/1.29 % SZS status Unsatisfiable
% 0.74/1.29
% 0.74/1.29
% 0.74/1.29 After processing input:
% 0.74/1.29
% 0.74/1.29 Usable:
% 0.74/1.29 end_of_list.
% 0.74/1.29
% 0.74/1.29 Sos:
% 0.74/1.29 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.74/1.29 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.74/1.29 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.74/1.29 1 (wt=17) [] double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C.
% 0.74/1.29 5 (wt=19) [demod([2,2,2,2]),flip(1)] -(double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) = double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity)).
% 0.74/1.29 end_of_list.
% 0.74/1.29
% 0.74/1.29 Demodulators:
% 0.74/1.29 1 (wt=17) [] double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C.
% 0.74/1.29 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.74/1.29 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.74/1.29 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.74/1.29 end_of_list.
% 0.74/1.29
% 0.74/1.29 Passive:
% 0.74/1.29 end_of_list.
% 0.74/1.29
% 0.74/1.29 UNIT CONFLICT from 1179 and 1054 at 0.12 seconds.
% 0.74/1.29
% 0.74/1.29 ---------------- PROOF ----------------
% 0.74/1.29 % SZS output start Refutation
% See solution above
% 0.74/1.29 ------------ end of proof -------------
% 0.74/1.29
% 0.74/1.29
% 0.74/1.29 ------------- memory usage ------------
% 0.74/1.29 Memory dynamically allocated (tp_alloc): 1953.
% 0.74/1.29 type (bytes each) gets frees in use avail bytes
% 0.74/1.29 sym_ent ( 96) 58 0 58 0 5.4 K
% 0.74/1.29 term ( 16) 131932 106132 25800 39 500.1 K
% 0.74/1.29 gen_ptr ( 8) 190453 56121 134332 75 1050.1 K
% 0.74/1.29 context ( 808) 89830 89828 2 6 6.3 K
% 0.74/1.29 trail ( 12) 17061 17061 0 10 0.1 K
% 0.74/1.29 bt_node ( 68) 23795 23792 3 30 2.2 K
% 0.74/1.29 ac_position (285432) 0 0 0 0 0.0 K
% 0.74/1.29 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.74/1.29 ac_match_free_vars_pos (4020)
% 0.74/1.29 0 0 0 0 0.0 K
% 0.74/1.29 discrim ( 12) 23266 20179 3087 4111 84.4 K
% 0.74/1.29 flat ( 40) 300389 300389 0 57 2.2 K
% 0.74/1.29 discrim_pos ( 12) 8082 8082 0 1 0.0 K
% 0.74/1.29 fpa_head ( 12) 1879 0 1879 0 22.0 K
% 0.74/1.29 fpa_tree ( 28) 10014 10014 0 47 1.3 K
% 0.74/1.29 fpa_pos ( 36) 2076 2076 0 1 0.0 K
% 0.74/1.29 literal ( 12) 5822 4643 1179 1 13.8 K
% 0.74/1.29 clause ( 24) 5822 4643 1179 1 27.7 K
% 0.74/1.29 list ( 12) 956 900 56 6 0.7 K
% 0.74/1.29 list_pos ( 20) 6278 4401 1877 76 38.1 K
% 0.74/1.29 pair_index ( 40) 2 0 2 0 0.1 K
% 0.74/1.29
% 0.74/1.29 -------------- statistics -------------
% 0.74/1.29 Clauses input 5
% 0.74/1.29 Usable input 0
% 0.74/1.29 Sos input 5
% 0.74/1.29 Demodulators input 0
% 0.74/1.29 Passive input 0
% 0.74/1.29
% 0.74/1.29 Processed BS (before search) 5
% 0.74/1.29 Forward subsumed BS 0
% 0.74/1.29 Kept BS 5
% 0.74/1.29 New demodulators BS 4
% 0.74/1.29 Back demodulated BS 0
% 0.74/1.29
% 0.74/1.29 Clauses or pairs given 2155
% 0.74/1.29 Clauses generated 3644
% 0.74/1.29 Forward subsumed 2470
% 0.74/1.29 Deleted by weight 0
% 0.74/1.29 Deleted by variable count 0
% 0.74/1.29 Kept 1174
% 0.74/1.29 New demodulators 893
% 0.74/1.29 Back demodulated 893
% 0.74/1.29 Ordered paramod prunes 0
% 0.74/1.29 Basic paramod prunes 6725
% 0.74/1.29 Prime paramod prunes 191
% 0.74/1.29 Semantic prunes 0
% 0.74/1.29
% 0.74/1.29 Rewrite attmepts 55989
% 0.74/1.29 Rewrites 7024
% 0.74/1.29
% 0.74/1.29 FPA overloads 0
% 0.74/1.29 FPA underloads 0
% 0.74/1.29
% 0.74/1.29 Usable size 0
% 0.74/1.29 Sos size 285
% 0.74/1.29 Demodulators size 129
% 0.74/1.29 Passive size 0
% 0.74/1.29 Disabled size 893
% 0.74/1.29
% 0.74/1.29 Proofs found 1
% 0.74/1.29
% 0.74/1.29 ----------- times (seconds) ----------- Tue Jun 14 12:21:41 2022
% 0.74/1.29
% 0.74/1.29 user CPU time 0.12 (0 hr, 0 min, 0 sec)
% 0.74/1.29 system CPU time 0.07 (0 hr, 0 min, 0 sec)
% 0.74/1.29 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.74/1.29 input time 0.00
% 0.74/1.29 paramodulation time 0.01
% 0.74/1.29 demodulation time 0.02
% 0.74/1.29 orient time 0.01
% 0.74/1.29 weigh time 0.00
% 0.74/1.29 forward subsume time 0.00
% 0.74/1.29 back demod find time 0.02
% 0.74/1.29 conflict time 0.00
% 0.74/1.29 LRPO time 0.01
% 0.74/1.29 store clause time 0.03
% 0.74/1.29 disable clause time 0.01
% 0.74/1.29 prime paramod time 0.01
% 0.74/1.29 semantics time 0.00
% 0.74/1.29
% 0.74/1.29 EQP interrupted
%------------------------------------------------------------------------------