TSTP Solution File: GRP583-1 by EQP---0.9e
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- Process Solution
%------------------------------------------------------------------------------
% File : EQP---0.9e
% Problem : GRP583-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_eqp %s
% Computer : n020.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 08:48:04 EDT 2022
% Result : Unsatisfiable 0.82s 1.22s
% Output : Refutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of clauses : 68 ( 68 unt; 0 nHn; 6 RR)
% Number of literals : 68 ( 0 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 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 : 128 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
equal(double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)),C),
file('GRP583-1.p',unknown),
[] ).
cnf(2,plain,
equal(multiply(A,B),double_divide(double_divide(B,A),identity)),
file('GRP583-1.p',unknown),
[] ).
cnf(3,plain,
equal(inverse(A),double_divide(A,identity)),
file('GRP583-1.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(identity,double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A))))),double_divide(D,C))),double_divide(identity,identity)),D),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(7,plain,
equal(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),A)),double_divide(identity,identity)),double_divide(B,double_divide(double_divide(identity,C),double_divide(A,double_divide(C,B))))),
inference(para,[status(thm),theory(equality)],[1,1]),
[iquote('para(1,1)')] ).
cnf(8,plain,
equal(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(double_divide(identity,double_divide(double_divide(identity,identity),C)),double_divide(identity,identity))),
inference(flip,[status(thm),theory(equality)],[7]),
[iquote('flip(7)')] ).
cnf(9,plain,
equal(double_divide(double_divide(A,double_divide(identity,double_divide(B,double_divide(double_divide(identity,identity),A)))),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(double_divide(A,identity),double_divide(double_divide(identity,A),double_divide(B,identity))),double_divide(identity,identity)),B),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(11,plain,
equal(double_divide(double_divide(identity,double_divide(double_divide(identity,A),identity)),double_divide(identity,identity)),A),
inference(para,[status(thm),theory(equality)],[4,1]),
[iquote('para(4,1)')] ).
cnf(12,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)],[4,11]),4,4]),1]),
[iquote('para(4,11),demod([4,4]),flip(1)')] ).
cnf(13,plain,
equal(double_divide(double_divide(identity,double_divide(double_divide(identity,A),identity)),identity),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[11]),12]),
[iquote('back_demod(11),demod([12])')] ).
cnf(14,plain,
equal(double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(identity,A),double_divide(B,identity))),identity),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[10]),12]),
[iquote('back_demod(10),demod([12])')] ).
cnf(15,plain,
equal(double_divide(double_divide(A,double_divide(identity,double_divide(B,double_divide(identity,A)))),identity),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[9]),12,12]),
[iquote('back_demod(9),demod([12,12])')] ).
cnf(16,plain,
equal(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(double_divide(identity,double_divide(identity,C)),identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[8]),12,12]),
[iquote('back_demod(8),demod([12,12])')] ).
cnf(17,plain,
equal(double_divide(double_divide(identity,double_divide(identity,A)),identity),double_divide(B,double_divide(double_divide(identity,C),double_divide(A,double_divide(C,B))))),
inference(flip,[status(thm),theory(equality)],[16]),
[iquote('flip(16)')] ).
cnf(18,plain,
equal(double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A))))),double_divide(D,C))),identity),D),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[6]),12,12]),
[iquote('back_demod(6),demod([12,12])')] ).
cnf(21,plain,
equal(double_divide(double_divide(identity,double_divide(identity,double_divide(A,identity))),identity),A),
inference(para,[status(thm),theory(equality)],[12,15]),
[iquote('para(12,15)')] ).
cnf(26,plain,
equal(double_divide(double_divide(double_divide(A,identity),identity),identity),double_divide(identity,A)),
inference(para,[status(thm),theory(equality)],[4,14]),
[iquote('para(4,14)')] ).
cnf(28,plain,
equal(double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(identity,A),B)),identity),double_divide(identity,double_divide(double_divide(identity,B),identity))),
inference(para,[status(thm),theory(equality)],[13,14]),
[iquote('para(13,14)')] ).
cnf(29,plain,
equal(double_divide(identity,double_divide(double_divide(identity,double_divide(A,identity)),identity)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[14]),28]),
[iquote('back_demod(14),demod([28])')] ).
cnf(30,plain,
equal(double_divide(double_divide(identity,A),identity),double_divide(identity,double_divide(A,identity))),
inference(para,[status(thm),theory(equality)],[21,13]),
[iquote('para(21,13)')] ).
cnf(31,plain,
equal(double_divide(identity,double_divide(identity,double_divide(double_divide(A,identity),identity))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[29]),30]),
[iquote('back_demod(29),demod([30])')] ).
cnf(32,plain,
equal(double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(identity,A),B)),identity),double_divide(identity,double_divide(identity,double_divide(B,identity)))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[28]),30]),
[iquote('back_demod(28),demod([30])')] ).
cnf(33,plain,
equal(double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A))))),double_divide(D,C)),identity)),D),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[18]),30]),
[iquote('back_demod(18),demod([30])')] ).
cnf(34,plain,
equal(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,double_divide(identity,double_divide(C,identity)))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[17]),30,30]),1]),
[iquote('back_demod(17),demod([30,30]),flip(1)')] ).
cnf(35,plain,
equal(double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(A,identity)))),double_divide(B,A)),identity)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[33]),34]),
[iquote('back_demod(33),demod([34])')] ).
cnf(37,plain,
equal(double_divide(double_divide(A,identity),identity),double_divide(identity,double_divide(identity,double_divide(identity,double_divide(A,identity))))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[26,31]),30]),1]),
[iquote('para(26,31),demod([30]),flip(1)')] ).
cnf(38,plain,
equal(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,double_divide(identity,double_divide(A,identity)))))),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[31]),37]),
[iquote('back_demod(31),demod([37])')] ).
cnf(40,plain,
equal(double_divide(identity,double_divide(identity,double_divide(identity,A))),double_divide(A,identity)),
inference(para,[status(thm),theory(equality)],[26,31]),
[iquote('para(26,31)')] ).
cnf(41,plain,
equal(double_divide(A,identity),double_divide(identity,double_divide(identity,double_divide(identity,A)))),
inference(flip,[status(thm),theory(equality)],[40]),
[iquote('flip(40)')] ).
cnf(46,plain,
equal(double_divide(double_divide(double_divide(A,identity),double_divide(double_divide(identity,A),B)),double_divide(identity,double_divide(identity,double_divide(B,identity)))),identity),
inference(para,[status(thm),theory(equality)],[32,4]),
[iquote('para(32,4)')] ).
cnf(48,plain,
equal(double_divide(double_divide(double_divide(A,identity),double_divide(identity,double_divide(A,identity))),identity),identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,46]),30,12,12]),
[iquote('para(12,46),demod([30,12,12])')] ).
cnf(51,plain,
equal(double_divide(double_divide(A,double_divide(identity,A)),identity),identity),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[15,48]),15]),
[iquote('para(15,48),demod([15])')] ).
cnf(54,plain,
equal(double_divide(A,double_divide(identity,A)),identity),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[51,38]),12,12,12,12,12]),1]),
[iquote('para(51,38),demod([12,12,12,12,12]),flip(1)')] ).
cnf(58,plain,
equal(double_divide(double_divide(double_divide(A,identity),double_divide(identity,double_divide(identity,double_divide(B,identity)))),identity),double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,C),double_divide(B,double_divide(C,double_divide(identity,A)))),identity)))),
inference(para,[status(thm),theory(equality)],[34,32]),
[iquote('para(34,32)')] ).
cnf(59,plain,
equal(double_divide(identity,double_divide(identity,double_divide(double_divide(double_divide(identity,A),double_divide(B,double_divide(A,double_divide(identity,C)))),identity))),double_divide(double_divide(double_divide(C,identity),double_divide(identity,double_divide(identity,double_divide(B,identity)))),identity)),
inference(flip,[status(thm),theory(equality)],[58]),
[iquote('flip(58)')] ).
cnf(60,plain,
equal(double_divide(identity,double_divide(identity,double_divide(identity,double_divide(A,identity)))),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[54,15]),12,37]),
[iquote('para(54,15),demod([12,37])')] ).
cnf(63,plain,
equal(double_divide(identity,double_divide(identity,A)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[38]),60]),
[iquote('back_demod(38),demod([60])')] ).
cnf(64,plain,
equal(double_divide(identity,double_divide(A,identity)),A),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[60]),63]),
[iquote('back_demod(60),demod([63])')] ).
cnf(65,plain,
equal(double_divide(identity,double_divide(double_divide(identity,A),double_divide(B,double_divide(A,double_divide(identity,C))))),double_divide(double_divide(double_divide(C,identity),double_divide(identity,B)),identity)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[59]),64,64]),
[iquote('back_demod(59),demod([64,64])')] ).
cnf(66,plain,
equal(double_divide(double_divide(double_divide(A,identity),double_divide(identity,B)),identity),double_divide(identity,double_divide(double_divide(identity,C),double_divide(B,double_divide(C,double_divide(identity,A)))))),
inference(flip,[status(thm),theory(equality)],[65]),
[iquote('flip(65)')] ).
cnf(72,plain,
equal(double_divide(A,double_divide(B,A)),B),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[35]),64,63,64]),
[iquote('back_demod(35),demod([64,63,64])')] ).
cnf(80,plain,
equal(double_divide(A,identity),double_divide(identity,A)),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[41]),63]),
[iquote('back_demod(41),demod([63])')] ).
cnf(84,plain,
equal(double_divide(double_divide(A,B),A),B),
inference(para,[status(thm),theory(equality)],[72,72]),
[iquote('para(72,72)')] ).
cnf(86,plain,
equal(double_divide(double_divide(double_divide(A,identity),double_divide(identity,B)),identity),double_divide(B,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[12,65]),63,63]),1]),
[iquote('para(12,65),demod([63,63]),flip(1)')] ).
cnf(87,plain,
equal(double_divide(identity,double_divide(double_divide(identity,A),double_divide(B,double_divide(A,double_divide(identity,C))))),double_divide(B,C)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[66]),86]),1]),
[iquote('back_demod(66),demod([86]),flip(1)')] ).
cnf(89,plain,
equal(double_divide(double_divide(A,B),B),A),
inference(demod,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[72,15]),86]),
[iquote('para(72,15),demod([86])')] ).
cnf(91,plain,
equal(double_divide(A,B),double_divide(B,A)),
inference(para,[status(thm),theory(equality)],[89,72]),
[iquote('para(89,72)')] ).
cnf(92,plain,
equal(double_divide(A,double_divide(A,B)),B),
inference(para,[status(thm),theory(equality)],[72,89]),
[iquote('para(72,89)')] ).
cnf(109,plain,
~ equal(double_divide(identity,double_divide(double_divide(double_divide(c3,b3),identity),a3)),double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity)),
inference(para,[status(thm),theory(equality)],[80,5]),
[iquote('para(80,5)')] ).
cnf(115,plain,
equal(double_divide(identity,double_divide(A,B)),double_divide(double_divide(B,identity),double_divide(identity,A))),
inference(para,[status(thm),theory(equality)],[86,72]),
[iquote('para(86,72)')] ).
cnf(120,plain,
equal(double_divide(double_divide(A,B),identity),double_divide(double_divide(B,identity),double_divide(identity,A))),
inference(para,[status(thm),theory(equality)],[86,89]),
[iquote('para(86,89)')] ).
cnf(121,plain,
equal(double_divide(double_divide(A,identity),double_divide(identity,B)),double_divide(double_divide(B,A),identity)),
inference(flip,[status(thm),theory(equality)],[120]),
[iquote('flip(120)')] ).
cnf(167,plain,
equal(double_divide(double_divide(A,identity),double_divide(identity,B)),double_divide(identity,double_divide(A,B))),
inference(flip,[status(thm),theory(equality)],[inference(para,[status(thm),theory(equality)],[91,115]),1]),
[iquote('para(91,115),flip(1)')] ).
cnf(171,plain,
equal(double_divide(double_divide(A,B),identity),double_divide(identity,double_divide(B,A))),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[121]),167]),1]),
[iquote('back_demod(121),demod([167]),flip(1)')] ).
cnf(176,plain,
~ equal(double_divide(identity,double_divide(double_divide(identity,double_divide(b3,c3)),a3)),double_divide(identity,double_divide(double_divide(identity,double_divide(a3,b3)),c3))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[109]),171,171,171]),
[iquote('back_demod(109),demod([171,171,171])')] ).
cnf(184,plain,
equal(double_divide(identity,double_divide(double_divide(identity,A),double_divide(B,double_divide(A,C)))),double_divide(B,double_divide(identity,C))),
inference(para,[status(thm),theory(equality)],[92,87]),
[iquote('para(92,87)')] ).
cnf(185,plain,
equal(double_divide(A,double_divide(identity,B)),double_divide(identity,double_divide(double_divide(identity,C),double_divide(A,double_divide(C,B))))),
inference(flip,[status(thm),theory(equality)],[184]),
[iquote('flip(184)')] ).
cnf(187,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)],[92,87]),1]),
[iquote('para(92,87),flip(1)')] ).
cnf(188,plain,
equal(double_divide(A,double_divide(identity,B)),double_divide(C,double_divide(identity,double_divide(A,double_divide(C,B))))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[185]),187,92]),
[iquote('back_demod(185),demod([187,92])')] ).
cnf(189,plain,
equal(double_divide(A,double_divide(identity,double_divide(B,double_divide(A,C)))),double_divide(B,double_divide(identity,C))),
inference(flip,[status(thm),theory(equality)],[188]),
[iquote('flip(188)')] ).
cnf(194,plain,
~ equal(double_divide(double_divide(b3,c3),double_divide(identity,a3)),double_divide(double_divide(a3,b3),double_divide(identity,c3))),
inference(demod,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[176]),187,92,187,92]),
[iquote('back_demod(176),demod([187,92,187,92])')] ).
cnf(297,plain,
equal(double_divide(double_divide(A,B),double_divide(identity,double_divide(C,B))),double_divide(C,double_divide(identity,A))),
inference(para,[status(thm),theory(equality)],[84,189]),
[iquote('para(84,189)')] ).
cnf(466,plain,
equal(double_divide(double_divide(A,B),double_divide(identity,C)),double_divide(double_divide(B,C),double_divide(identity,A))),
inference(para,[status(thm),theory(equality)],[84,297]),
[iquote('para(84,297)')] ).
cnf(467,plain,
equal(double_divide(double_divide(A,B),double_divide(identity,C)),double_divide(double_divide(C,A),double_divide(identity,B))),
inference(flip,[status(thm),theory(equality)],[466]),
[iquote('flip(466)')] ).
cnf(468,plain,
$false,
inference(conflict,[status(thm)],[467,194]),
[iquote('conflict(467,194)')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP583-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : tptp2X_and_run_eqp %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 21:19:50 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.82/1.22 ----- EQP 0.9e, May 2009 -----
% 0.82/1.22 The job began on n020.cluster.edu, Mon Jun 13 21:19:50 2022
% 0.82/1.22 The command was "./eqp09e".
% 0.82/1.22
% 0.82/1.22 set(prolog_style_variables).
% 0.82/1.22 set(lrpo).
% 0.82/1.22 set(basic_paramod).
% 0.82/1.22 set(functional_subsume).
% 0.82/1.22 set(ordered_paramod).
% 0.82/1.22 set(prime_paramod).
% 0.82/1.22 set(para_pairs).
% 0.82/1.22 assign(pick_given_ratio,4).
% 0.82/1.22 clear(print_kept).
% 0.82/1.22 clear(print_new_demod).
% 0.82/1.22 clear(print_back_demod).
% 0.82/1.22 clear(print_given).
% 0.82/1.22 assign(max_mem,64000).
% 0.82/1.22 end_of_commands.
% 0.82/1.22
% 0.82/1.22 Usable:
% 0.82/1.22 end_of_list.
% 0.82/1.22
% 0.82/1.22 Sos:
% 0.82/1.22 0 (wt=-1) [] double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C.
% 0.82/1.22 0 (wt=-1) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.82/1.22 0 (wt=-1) [] inverse(A) = double_divide(A,identity).
% 0.82/1.22 0 (wt=-1) [] identity = double_divide(A,inverse(A)).
% 0.82/1.22 0 (wt=-1) [] -(multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3))).
% 0.82/1.22 end_of_list.
% 0.82/1.22
% 0.82/1.22 Demodulators:
% 0.82/1.22 end_of_list.
% 0.82/1.22
% 0.82/1.22 Passive:
% 0.82/1.22 end_of_list.
% 0.82/1.22
% 0.82/1.22 Starting to process input.
% 0.82/1.22
% 0.82/1.22 ** KEPT: 1 (wt=17) [] double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C.
% 0.82/1.22 1 is a new demodulator.
% 0.82/1.22
% 0.82/1.22 ** KEPT: 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.82/1.22 2 is a new demodulator.
% 0.82/1.22
% 0.82/1.22 ** KEPT: 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.82/1.22 3 is a new demodulator.
% 0.82/1.22
% 0.82/1.22 ** KEPT: 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.82/1.22 4 is a new demodulator.
% 0.82/1.22
% 0.82/1.22 ** 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)).
% 0.82/1.22 ---------------- PROOF FOUND ----------------
% 0.82/1.22 % SZS status Unsatisfiable
% 0.82/1.22
% 0.82/1.22
% 0.82/1.22 After processing input:
% 0.82/1.22
% 0.82/1.22 Usable:
% 0.82/1.22 end_of_list.
% 0.82/1.22
% 0.82/1.22 Sos:
% 0.82/1.22 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.82/1.22 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.82/1.22 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.82/1.22 1 (wt=17) [] double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C.
% 0.82/1.22 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)).
% 0.82/1.22 end_of_list.
% 0.82/1.22
% 0.82/1.22 Demodulators:
% 0.82/1.22 1 (wt=17) [] double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C.
% 0.82/1.22 2 (wt=9) [] multiply(A,B) = double_divide(double_divide(B,A),identity).
% 0.82/1.22 3 (wt=6) [] inverse(A) = double_divide(A,identity).
% 0.82/1.22 4 (wt=7) [demod([3]),flip(1)] double_divide(A,double_divide(A,identity)) = identity.
% 0.82/1.22 end_of_list.
% 0.82/1.22
% 0.82/1.22 Passive:
% 0.82/1.22 end_of_list.
% 0.82/1.22
% 0.82/1.22 UNIT CONFLICT from 467 and 194 at 0.04 seconds.
% 0.82/1.22
% 0.82/1.22 ---------------- PROOF ----------------
% 0.82/1.22 % SZS output start Refutation
% See solution above
% 0.82/1.22 ------------ end of proof -------------
% 0.82/1.22
% 0.82/1.22
% 0.82/1.22 ------------- memory usage ------------
% 0.82/1.22 Memory dynamically allocated (tp_alloc): 976.
% 0.82/1.22 type (bytes each) gets frees in use avail bytes
% 0.82/1.22 sym_ent ( 96) 58 0 58 0 5.4 K
% 0.82/1.22 term ( 16) 48400 41114 7286 33 141.1 K
% 0.82/1.22 gen_ptr ( 8) 44123 14593 29530 67 231.2 K
% 0.82/1.22 context ( 808) 37520 37518 2 6 6.3 K
% 0.82/1.22 trail ( 12) 2430 2430 0 5 0.1 K
% 0.82/1.22 bt_node ( 68) 12693 12690 3 12 1.0 K
% 0.82/1.22 ac_position (285432) 0 0 0 0 0.0 K
% 0.82/1.22 ac_match_pos (14044) 0 0 0 0 0.0 K
% 0.82/1.22 ac_match_free_vars_pos (4020)
% 0.82/1.22 0 0 0 0 0.0 K
% 0.82/1.22 discrim ( 12) 4912 2906 2006 176 25.6 K
% 0.82/1.22 flat ( 40) 94445 94445 0 31 1.2 K
% 0.82/1.22 discrim_pos ( 12) 3226 3226 0 1 0.0 K
% 0.82/1.22 fpa_head ( 12) 660 0 660 0 7.7 K
% 0.82/1.22 fpa_tree ( 28) 2191 2191 0 41 1.1 K
% 0.82/1.22 fpa_pos ( 36) 724 724 0 1 0.0 K
% 0.82/1.22 literal ( 12) 2940 2473 467 1 5.5 K
% 0.82/1.22 clause ( 24) 2940 2473 467 1 11.0 K
% 0.82/1.22 list ( 12) 316 260 56 5 0.7 K
% 0.82/1.22 list_pos ( 20) 2172 1173 999 53 20.5 K
% 0.82/1.22 pair_index ( 40) 2 0 2 0 0.1 K
% 0.82/1.22
% 0.82/1.22 -------------- statistics -------------
% 0.82/1.22 Clauses input 5
% 0.82/1.22 Usable input 0
% 0.82/1.22 Sos input 5
% 0.82/1.22 Demodulators input 0
% 0.82/1.22 Passive input 0
% 0.82/1.22
% 0.82/1.22 Processed BS (before search) 5
% 0.82/1.22 Forward subsumed BS 0
% 0.82/1.22 Kept BS 5
% 0.82/1.22 New demodulators BS 4
% 0.82/1.22 Back demodulated BS 0
% 0.82/1.22
% 0.82/1.22 Clauses or pairs given 1617
% 0.82/1.22 Clauses generated 1824
% 0.82/1.22 Forward subsumed 1362
% 0.82/1.22 Deleted by weight 0
% 0.82/1.22 Deleted by variable count 0
% 0.82/1.22 Kept 462
% 0.82/1.22 New demodulators 253
% 0.82/1.22 Back demodulated 245
% 0.82/1.22 Ordered paramod prunes 0
% 0.82/1.22 Basic paramod prunes 6194
% 0.82/1.22 Prime paramod prunes 147
% 0.82/1.22 Semantic prunes 0
% 0.82/1.22
% 0.82/1.22 Rewrite attmepts 20298
% 0.82/1.22 Rewrites 2535
% 0.82/1.22
% 0.82/1.22 FPA overloads 0
% 0.82/1.22 FPA underloads 0
% 0.82/1.22
% 0.82/1.22 Usable size 0
% 0.82/1.22 Sos size 221
% 0.82/1.22 Demodulators size 91
% 0.82/1.22 Passive size 0
% 0.82/1.22 Disabled size 245
% 0.82/1.22
% 0.82/1.22 Proofs found 1
% 0.82/1.22
% 0.82/1.22 ----------- times (seconds) ----------- Mon Jun 13 21:19:50 2022
% 0.82/1.22
% 0.82/1.22 user CPU time 0.04 (0 hr, 0 min, 0 sec)
% 0.82/1.22 system CPU time 0.05 (0 hr, 0 min, 0 sec)
% 0.82/1.22 wall-clock time 0 (0 hr, 0 min, 0 sec)
% 0.82/1.22 input time 0.00
% 0.82/1.22 paramodulation time 0.01
% 0.82/1.22 demodulation time 0.01
% 0.82/1.22 orient time 0.01
% 0.82/1.22 weigh time 0.00
% 0.82/1.22 forward subsume time 0.00
% 0.82/1.22 back demod find time 0.00
% 0.82/1.22 conflict time 0.00
% 0.82/1.22 LRPO time 0.00
% 0.82/1.22 store clause time 0.00
% 0.82/1.22 disable clause time 0.00
% 0.82/1.22 prime paramod time 0.00
% 0.82/1.22 semantics time 0.00
% 0.82/1.22
% 0.82/1.22 EQP interrupted
%------------------------------------------------------------------------------