TSTP Solution File: TOP053-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : TOP053-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n016.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 : 300s
% DateTime : Wed Jul 27 13:27:00 EDT 2022
% Result : Unsatisfiable 1.62s 1.87s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 20
% Syntax : Number of clauses : 108 ( 108 unt; 0 nHn; 79 RR)
% Number of literals : 108 ( 107 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-14 aty)
% Number of variables : 34 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14) != tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15),
file('TOP053-1.p',unknown),
[] ).
cnf(2,plain,
tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[1])]),
[iquote('copy,1,flip.1')] ).
cnf(3,axiom,
A = A,
file('TOP053-1.p',unknown),
[] ).
cnf(5,axiom,
product(A,A) = A,
file('TOP053-1.p',unknown),
[] ).
cnf(7,axiom,
product(product(A,B),B) = A,
file('TOP053-1.p',unknown),
[] ).
cnf(8,axiom,
product(product(A,B),C) = product(product(A,C),product(B,C)),
file('TOP053-1.p',unknown),
[] ).
cnf(10,axiom,
product(a1,a2) = a3,
file('TOP053-1.p',unknown),
[] ).
cnf(12,axiom,
product(a3,a4) = a5,
file('TOP053-1.p',unknown),
[] ).
cnf(13,axiom,
product(a5,a6) = a7,
file('TOP053-1.p',unknown),
[] ).
cnf(15,axiom,
product(a7,a3) = a8,
file('TOP053-1.p',unknown),
[] ).
cnf(17,axiom,
product(a8,a2) = a9,
file('TOP053-1.p',unknown),
[] ).
cnf(19,axiom,
product(a9,a1) = a10,
file('TOP053-1.p',unknown),
[] ).
cnf(21,axiom,
product(a10,a11) = a12,
file('TOP053-1.p',unknown),
[] ).
cnf(24,axiom,
product(a12,a3) = a13,
file('TOP053-1.p',unknown),
[] ).
cnf(25,axiom,
product(a13,a8) = a6,
file('TOP053-1.p',unknown),
[] ).
cnf(27,axiom,
product(a6,a7) = a2,
file('TOP053-1.p',unknown),
[] ).
cnf(29,axiom,
product(a2,a12) = a14,
file('TOP053-1.p',unknown),
[] ).
cnf(31,axiom,
product(a14,a3) = a15,
file('TOP053-1.p',unknown),
[] ).
cnf(33,axiom,
product(a15,a8) = a4,
file('TOP053-1.p',unknown),
[] ).
cnf(35,axiom,
product(a4,a7) = a11,
file('TOP053-1.p',unknown),
[] ).
cnf(38,axiom,
product(a11,a10) = a1,
file('TOP053-1.p',unknown),
[] ).
cnf(39,plain,
product(product(A,B),product(C,B)) = product(product(A,C),B),
inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[8])]),
[iquote('copy,8,flip.1')] ).
cnf(40,plain,
product(a7,a6) = a5,
inference(para_into,[status(thm),theory(equality)],[7,13]),
[iquote('para_into,6.1.1.1,13.1.1')] ).
cnf(43,plain,
product(a5,a4) = a3,
inference(para_into,[status(thm),theory(equality)],[7,12]),
[iquote('para_into,6.1.1.1,11.1.1')] ).
cnf(44,plain,
product(a3,a2) = a1,
inference(para_into,[status(thm),theory(equality)],[7,10]),
[iquote('para_into,6.1.1.1,9.1.1')] ).
cnf(47,plain,
product(a8,a3) = a7,
inference(para_from,[status(thm),theory(equality)],[15,7]),
[iquote('para_from,15.1.1,6.1.1.1')] ).
cnf(48,plain,
product(a9,a2) = a8,
inference(para_from,[status(thm),theory(equality)],[17,7]),
[iquote('para_from,17.1.1,6.1.1.1')] ).
cnf(51,plain,
product(a10,a1) = a9,
inference(para_from,[status(thm),theory(equality)],[19,7]),
[iquote('para_from,19.1.1,6.1.1.1')] ).
cnf(55,plain,
product(product(a10,A),product(a11,A)) = product(a12,A),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[8,21])]),
[iquote('para_into,8.1.1.1,21.1.1,flip.1')] ).
cnf(56,plain,
product(product(a9,A),product(a1,A)) = product(a10,A),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[8,19])]),
[iquote('para_into,8.1.1.1,19.1.1,flip.1')] ).
cnf(58,plain,
product(product(a8,A),product(a2,A)) = product(a9,A),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[8,17])]),
[iquote('para_into,8.1.1.1,17.1.1,flip.1')] ).
cnf(60,plain,
product(product(a7,A),product(a3,A)) = product(a8,A),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[8,15])]),
[iquote('para_into,8.1.1.1,15.1.1,flip.1')] ).
cnf(62,plain,
product(product(a5,A),product(a6,A)) = product(a7,A),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[8,13])]),
[iquote('para_into,8.1.1.1,13.1.1,flip.1')] ).
cnf(66,plain,
product(product(a1,A),product(a2,A)) = product(a3,A),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[8,10])]),
[iquote('para_into,8.1.1.1,9.1.1,flip.1')] ).
cnf(82,plain,
product(a6,a8) = a13,
inference(para_from,[status(thm),theory(equality)],[25,7]),
[iquote('para_from,25.1.1,6.1.1.1')] ).
cnf(87,plain,
product(a2,a7) = a6,
inference(para_from,[status(thm),theory(equality)],[27,7]),
[iquote('para_from,27.1.1,6.1.1.1')] ).
cnf(91,plain,
product(a14,a12) = a2,
inference(para_from,[status(thm),theory(equality)],[29,7]),
[iquote('para_from,29.1.1,6.1.1.1')] ).
cnf(95,plain,
product(a15,a3) = a14,
inference(para_from,[status(thm),theory(equality)],[31,7]),
[iquote('para_from,31.1.1,6.1.1.1')] ).
cnf(98,plain,
product(a4,a8) = a15,
inference(para_from,[status(thm),theory(equality)],[33,7]),
[iquote('para_from,33.1.1,6.1.1.1')] ).
cnf(103,plain,
product(a11,a7) = a4,
inference(para_from,[status(thm),theory(equality)],[35,7]),
[iquote('para_from,35.1.1,6.1.1.1')] ).
cnf(107,plain,
product(a1,a10) = a11,
inference(para_from,[status(thm),theory(equality)],[38,7]),
[iquote('para_from,37.1.1,6.1.1.1')] ).
cnf(111,plain,
product(product(a7,A),a6) = product(a5,product(A,a6)),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[39,40])]),
[iquote('para_into,39.1.1.1,40.1.1,flip.1')] ).
cnf(128,plain,
product(product(a12,A),a3) = product(a13,product(A,a3)),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[39,24])]),
[iquote('para_into,39.1.1.1,23.1.1,flip.1')] ).
cnf(149,plain,
product(product(A,a7),a6) = product(product(A,a6),a5),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[39,40])]),
[iquote('para_into,39.1.1.2,40.1.1,flip.1')] ).
cnf(158,plain,
product(product(A,a3),a15) = product(product(A,a14),a3),
inference(para_into,[status(thm),theory(equality)],[39,31]),
[iquote('para_into,39.1.1.2,31.1.1')] ).
cnf(161,plain,
product(product(A,a7),a2) = product(product(A,a6),a7),
inference(para_into,[status(thm),theory(equality)],[39,27]),
[iquote('para_into,39.1.1.2,27.1.1')] ).
cnf(176,plain,
product(product(A,a6),a7) = product(product(A,a5),a6),
inference(para_into,[status(thm),theory(equality)],[39,13]),
[iquote('para_into,39.1.1.2,13.1.1')] ).
cnf(177,plain,
product(product(A,a4),a5) = product(product(A,a3),a4),
inference(para_into,[status(thm),theory(equality)],[39,12]),
[iquote('para_into,39.1.1.2,11.1.1')] ).
cnf(190,plain,
product(product(A,a7),a2) = product(product(A,a5),a6),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[161]),176]),
[iquote('back_demod,161,demod,176')] ).
cnf(203,plain,
product(product(a3,A),a2) = product(a1,product(A,a2)),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[44,39])]),
[iquote('para_from,44.1.1,39.1.1.1,flip.1')] ).
cnf(245,plain,
product(product(A,a6),a5) = product(product(A,a2),a7),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[87,39]),149]),
[iquote('para_from,86.1.1,39.1.1.2,demod,149')] ).
cnf(250,plain,
product(product(A,a7),a6) = product(product(A,a2),a7),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[149]),245]),
[iquote('back_demod,148,demod,245')] ).
cnf(254,plain,
product(a12,a10) = a9,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[55,5]),38,51])]),
[iquote('para_into,54.1.1.1,4.1.1,demod,38,51,flip.1')] ).
cnf(289,plain,
product(a10,a2) = a7,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[56,48]),10,47])]),
[iquote('para_into,56.1.1.1,48.1.1,demod,10,47,flip.1')] ).
cnf(317,plain,
product(a7,product(a11,a2)) = product(a12,a2),
inference(para_from,[status(thm),theory(equality)],[289,55]),
[iquote('para_from,288.1.1,54.1.1.1')] ).
cnf(319,plain,
product(product(A,a2),a7) = product(product(A,a10),a2),
inference(para_from,[status(thm),theory(equality)],[289,39]),
[iquote('para_from,288.1.1,39.1.1.2')] ).
cnf(322,plain,
product(product(a10,A),product(a2,A)) = product(a7,A),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[289,8])]),
[iquote('para_from,288.1.1,8.1.1.1,flip.1')] ).
cnf(324,plain,
product(a7,a2) = a10,
inference(para_from,[status(thm),theory(equality)],[289,7]),
[iquote('para_from,288.1.1,6.1.1.1')] ).
cnf(327,plain,
product(product(A,a7),a6) = product(product(A,a10),a2),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[250]),319]),
[iquote('back_demod,250,demod,319')] ).
cnf(349,plain,
product(product(A,a5),a6) = product(product(A,a2),a10),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[324,39]),190])]),
[iquote('para_from,324.1.1,39.1.1.2,demod,190,flip.1')] ).
cnf(355,plain,
product(product(A,a7),a2) = product(product(A,a2),a10),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[190]),349]),
[iquote('back_demod,189,demod,349')] ).
cnf(380,plain,
product(a8,a7) = product(a7,product(a3,a7)),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[60,5])]),
[iquote('para_into,60.1.1.1,4.1.1,flip.1')] ).
cnf(422,plain,
product(a7,a4) = product(a3,product(a6,a4)),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[62,43])]),
[iquote('para_into,62.1.1.1,42.1.1,flip.1')] ).
cnf(426,plain,
product(product(a5,a2),a10) = a7,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[62,27]),355,5]),
[iquote('para_into,62.1.1.2,27.1.1,demod,355,5')] ).
cnf(434,plain,
product(product(a5,a10),product(a2,a10)) = a7,
inference(para_into,[status(thm),theory(equality)],[426,8]),
[iquote('para_into,426.1.1,8.1.1')] ).
cnf(452,plain,
product(a9,a7) = product(a5,product(a1,a7)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[380,58]),87,111,327,203,289])]),
[iquote('para_from,380.1.1,58.1.1.1,demod,87,111,327,203,289,flip.1')] ).
cnf(496,plain,
product(product(a3,product(a6,a4)),a5) = product(a8,a4),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[422,60]),12]),
[iquote('para_from,422.1.1,60.1.1.1,demod,12')] ).
cnf(518,plain,
product(a7,product(a2,a10)) = product(a5,a10),
inference(para_from,[status(thm),theory(equality)],[434,7]),
[iquote('para_from,434.1.1,6.1.1.1')] ).
cnf(520,plain,
product(a10,a7) = a5,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[452,56]),7])]),
[iquote('para_from,452.1.1,56.1.1.1,demod,7,flip.1')] ).
cnf(535,plain,
product(a3,a7) = product(a11,a2),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[66,87]),327,107])]),
[iquote('para_into,66.1.1.2,86.1.1,demod,327,107,flip.1')] ).
cnf(546,plain,
product(a8,a7) = product(a12,a2),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[380]),535,317]),
[iquote('back_demod,380,demod,535,317')] ).
cnf(554,plain,
product(a12,a7) = a3,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[520,55]),103,43])]),
[iquote('para_from,520.1.1,54.1.1.1,demod,103,43,flip.1')] ).
cnf(573,plain,
product(a11,a2) = a12,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[554,7]),535]),
[iquote('para_from,554.1.1,6.1.1.1,demod,535')] ).
cnf(584,plain,
product(a7,a12) = product(a12,a2),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[317]),573]),
[iquote('back_demod,316,demod,573')] ).
cnf(599,plain,
product(a12,a2) = a11,
inference(para_from,[status(thm),theory(equality)],[573,7]),
[iquote('para_from,572.1.1,6.1.1.1')] ).
cnf(602,plain,
product(a7,a12) = a11,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[584]),599]),
[iquote('back_demod,584,demod,599')] ).
cnf(610,plain,
product(a8,a7) = a11,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[546]),599]),
[iquote('back_demod,546,demod,599')] ).
cnf(858,plain,
product(a11,a12) = a7,
inference(para_from,[status(thm),theory(equality)],[602,7]),
[iquote('para_from,602.1.1,6.1.1.1')] ).
cnf(873,plain,
a8 = a4,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[610,7]),103])]),
[iquote('para_from,610.1.1,6.1.1.1,demod,103,flip.1')] ).
cnf(933,plain,
product(product(a3,product(a6,a4)),a5) = a4,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[496]),873,5]),
[iquote('back_demod,496,demod,873,5')] ).
cnf(996,plain,
a4 = a15,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[98]),873,5]),
[iquote('back_demod,98,demod,873,5')] ).
cnf(998,plain,
product(a6,a15) = a13,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[82]),873,996]),
[iquote('back_demod,82,demod,873,996')] ).
cnf(1006,plain,
a7 = a14,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[47]),873,996,95])]),
[iquote('back_demod,46,demod,873,996,95,flip.1')] ).
cnf(1007,plain,
product(a13,a15) = a6,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[25]),873,996]),
[iquote('back_demod,25,demod,873,996')] ).
cnf(1011,plain,
tuple(a2,a3,a15,a5,a6,a14,a15,a9,a10,a11,a12,a13,a14,a15) != tuple(a1,a2,a3,a15,a5,a6,a14,a15,a9,a10,a11,a12,a13,a14),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2]),996,1006,873,996,996,1006,873,996]),
[iquote('back_demod,2,demod,996,1006,873,996,996,1006,873,996')] ).
cnf(1017,plain,
product(product(A,a15),a5) = product(product(A,a14),a3),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[177]),996,996,158]),
[iquote('back_demod,177,demod,996,996,158')] ).
cnf(1164,plain,
a2 = a11,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[602]),1006,91]),
[iquote('back_demod,602,demod,1006,91')] ).
cnf(1172,plain,
product(a5,a10) = product(a14,a1),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[518]),1006,1164,38])]),
[iquote('back_demod,518,demod,1006,1164,38,flip.1')] ).
cnf(1185,plain,
product(a3,a13) = product(a14,a15),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[422]),1006,996,996,998])]),
[iquote('back_demod,422,demod,1006,996,996,998,flip.1')] ).
cnf(1200,plain,
product(a14,a11) = a10,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[324]),1006,1164]),
[iquote('back_demod,324,demod,1006,1164')] ).
cnf(1203,plain,
product(a14,A) = product(a12,A),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[322]),1164,55,1006])]),
[iquote('back_demod,322,demod,1164,55,1006,flip.1')] ).
cnf(1235,plain,
a15 = a13,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[933]),996,998,1185,1203,1017,128,1203,24,5,996])]),
[iquote('back_demod,933,demod,996,998,1185,1203,1017,128,1203,24,5,996,flip.1')] ).
cnf(1275,plain,
product(a11,a12) = a14,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[858]),1006]),
[iquote('back_demod,858,demod,1006')] ).
cnf(1304,plain,
product(a12,a14) = a3,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[554]),1006]),
[iquote('back_demod,554,demod,1006')] ).
cnf(1306,plain,
product(a10,a14) = a5,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[520]),1006]),
[iquote('back_demod,520,demod,1006')] ).
cnf(1311,plain,
a14 = a12,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[434]),1172,1203,1164,38,7,1006])]),
[iquote('back_demod,434,demod,1172,1203,1164,38,7,1006,flip.1')] ).
cnf(1321,plain,
a6 = a12,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[87]),1164,1006,1311,1275,1311])]),
[iquote('back_demod,86,demod,1164,1006,1311,1275,1311,flip.1')] ).
cnf(1323,plain,
a12 = a11,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[27]),1321,1006,1311,5,1164]),
[iquote('back_demod,27,demod,1321,1006,1311,5,1164')] ).
cnf(1401,plain,
tuple(a11,a3,a13,a5,a11,a11,a13,a9,a10,a11,a11,a13,a11,a13) != tuple(a1,a11,a3,a13,a5,a11,a11,a13,a9,a10,a11,a11,a13,a11),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1011]),1164,1235,1321,1323,1311,1323,1235,1323,1311,1323,1235,1164,1235,1321,1323,1311,1323,1235,1323,1311,1323]),
[iquote('back_demod,1011,demod,1164,1235,1321,1323,1311,1323,1235,1323,1311,1323,1235,1164,1235,1321,1323,1311,1323,1235,1323,1311,1323')] ).
cnf(1422,plain,
product(a3,a11) = a1,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[44]),1164]),
[iquote('back_demod,44,demod,1164')] ).
cnf(1434,plain,
a11 = a10,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1200]),1311,1323,5]),
[iquote('back_demod,1200,demod,1311,1323,5')] ).
cnf(1492,plain,
a13 = a10,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1007]),1235,5,1321,1323,1434]),
[iquote('back_demod,1007,demod,1235,5,1321,1323,1434')] ).
cnf(1498,plain,
a5 = a10,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1306]),1311,1323,1434,5])]),
[iquote('back_demod,1306,demod,1311,1323,1434,5,flip.1')] ).
cnf(1500,plain,
a3 = a10,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1304]),1323,1434,1311,1323,1434,5])]),
[iquote('back_demod,1304,demod,1323,1434,1311,1323,1434,5,flip.1')] ).
cnf(1530,plain,
a9 = a10,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[254]),1323,1434,5])]),
[iquote('back_demod,254,demod,1323,1434,5,flip.1')] ).
cnf(1534,plain,
a10 = a1,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1422]),1500,1434,5]),
[iquote('back_demod,1422,demod,1500,1434,5')] ).
cnf(1535,plain,
tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1) != tuple(a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1,a1),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1401]),1434,1534,1500,1534,1492,1534,1498,1534,1434,1534,1434,1534,1492,1534,1530,1534,1534,1434,1534,1434,1534,1492,1534,1434,1534,1492,1534,1434,1534,1500,1534,1492,1534,1498,1534,1434,1534,1434,1534,1492,1534,1530,1534,1534,1434,1534,1434,1534,1492,1534,1434,1534]),
[iquote('back_demod,1401,demod,1434,1534,1500,1534,1492,1534,1498,1534,1434,1534,1434,1534,1492,1534,1530,1534,1534,1434,1534,1434,1534,1492,1534,1434,1534,1492,1534,1434,1534,1500,1534,1492,1534,1498,1534,1434,1534,1434,1534,1492,1534,1530,1534,1534,1434,1534,1434,1534,1492,1534,1434,1534')] ).
cnf(1536,plain,
$false,
inference(binary,[status(thm)],[1535,3]),
[iquote('binary,1535.1,3.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : TOP053-1 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 02:17:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.62/1.83 ----- Otter 3.3f, August 2004 -----
% 1.62/1.83 The process was started by sandbox on n016.cluster.edu,
% 1.62/1.83 Wed Jul 27 02:17:22 2022
% 1.62/1.83 The command was "./otter". The process ID is 30664.
% 1.62/1.83
% 1.62/1.83 set(prolog_style_variables).
% 1.62/1.83 set(auto).
% 1.62/1.83 dependent: set(auto1).
% 1.62/1.83 dependent: set(process_input).
% 1.62/1.83 dependent: clear(print_kept).
% 1.62/1.83 dependent: clear(print_new_demod).
% 1.62/1.83 dependent: clear(print_back_demod).
% 1.62/1.83 dependent: clear(print_back_sub).
% 1.62/1.83 dependent: set(control_memory).
% 1.62/1.83 dependent: assign(max_mem, 12000).
% 1.62/1.83 dependent: assign(pick_given_ratio, 4).
% 1.62/1.83 dependent: assign(stats_level, 1).
% 1.62/1.83 dependent: assign(max_seconds, 10800).
% 1.62/1.83 clear(print_given).
% 1.62/1.83
% 1.62/1.83 list(usable).
% 1.62/1.83 0 [] A=A.
% 1.62/1.83 0 [] product(X,X)=X.
% 1.62/1.83 0 [] product(product(X,Y),Y)=X.
% 1.62/1.83 0 [] product(product(X,Y),Z)=product(product(X,Z),product(Y,Z)).
% 1.62/1.83 0 [] product(a1,a2)=a3.
% 1.62/1.83 0 [] product(a3,a4)=a5.
% 1.62/1.83 0 [] product(a5,a6)=a7.
% 1.62/1.83 0 [] product(a7,a3)=a8.
% 1.62/1.83 0 [] product(a8,a2)=a9.
% 1.62/1.83 0 [] product(a9,a1)=a10.
% 1.62/1.83 0 [] product(a10,a11)=a12.
% 1.62/1.83 0 [] product(a12,a3)=a13.
% 1.62/1.83 0 [] product(a13,a8)=a6.
% 1.62/1.83 0 [] product(a6,a7)=a2.
% 1.62/1.83 0 [] product(a2,a12)=a14.
% 1.62/1.83 0 [] product(a14,a3)=a15.
% 1.62/1.83 0 [] product(a15,a8)=a4.
% 1.62/1.83 0 [] product(a4,a7)=a11.
% 1.62/1.83 0 [] product(a11,a10)=a1.
% 1.62/1.83 0 [] tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14)!=tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15).
% 1.62/1.83 end_of_list.
% 1.62/1.83
% 1.62/1.83 SCAN INPUT: prop=0, horn=1, equality=1, symmetry=0, max_lits=1.
% 1.62/1.83
% 1.62/1.83 All clauses are units, and equality is present; the
% 1.62/1.83 strategy will be Knuth-Bendix with positive clauses in sos.
% 1.62/1.83
% 1.62/1.83 dependent: set(knuth_bendix).
% 1.62/1.83 dependent: set(anl_eq).
% 1.62/1.83 dependent: set(para_from).
% 1.62/1.83 dependent: set(para_into).
% 1.62/1.83 dependent: clear(para_from_right).
% 1.62/1.83 dependent: clear(para_into_right).
% 1.62/1.83 dependent: set(para_from_vars).
% 1.62/1.83 dependent: set(eq_units_both_ways).
% 1.62/1.83 dependent: set(dynamic_demod_all).
% 1.62/1.83 dependent: set(dynamic_demod).
% 1.62/1.83 dependent: set(order_eq).
% 1.62/1.83 dependent: set(back_demod).
% 1.62/1.83 dependent: set(lrpo).
% 1.62/1.83
% 1.62/1.83 ------------> process usable:
% 1.62/1.83 ** KEPT (pick-wt=31): 2 [copy,1,flip.1] tuple(a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14,a15)!=tuple(a1,a2,a3,a4,a5,a6,a7,a8,a9,a10,a11,a12,a13,a14).
% 1.62/1.83
% 1.62/1.83 ------------> process sos:
% 1.62/1.83 ** KEPT (pick-wt=3): 3 [] A=A.
% 1.62/1.83 ** KEPT (pick-wt=5): 4 [] product(A,A)=A.
% 1.62/1.83 ---> New Demodulator: 5 [new_demod,4] product(A,A)=A.
% 1.62/1.83 ** KEPT (pick-wt=7): 6 [] product(product(A,B),B)=A.
% 1.62/1.83 ---> New Demodulator: 7 [new_demod,6] product(product(A,B),B)=A.
% 1.62/1.83 ** KEPT (pick-wt=13): 8 [] product(product(A,B),C)=product(product(A,C),product(B,C)).
% 1.62/1.83 ** KEPT (pick-wt=5): 9 [] product(a1,a2)=a3.
% 1.62/1.83 ---> New Demodulator: 10 [new_demod,9] product(a1,a2)=a3.
% 1.62/1.83 ** KEPT (pick-wt=5): 11 [] product(a3,a4)=a5.
% 1.62/1.83 ---> New Demodulator: 12 [new_demod,11] product(a3,a4)=a5.
% 1.62/1.83 ** KEPT (pick-wt=5): 13 [] product(a5,a6)=a7.
% 1.62/1.83 ---> New Demodulator: 14 [new_demod,13] product(a5,a6)=a7.
% 1.62/1.83 ** KEPT (pick-wt=5): 15 [] product(a7,a3)=a8.
% 1.62/1.83 ---> New Demodulator: 16 [new_demod,15] product(a7,a3)=a8.
% 1.62/1.83 ** KEPT (pick-wt=5): 17 [] product(a8,a2)=a9.
% 1.62/1.83 ---> New Demodulator: 18 [new_demod,17] product(a8,a2)=a9.
% 1.62/1.83 ** KEPT (pick-wt=5): 19 [] product(a9,a1)=a10.
% 1.62/1.83 ---> New Demodulator: 20 [new_demod,19] product(a9,a1)=a10.
% 1.62/1.83 ** KEPT (pick-wt=5): 21 [] product(a10,a11)=a12.
% 1.62/1.84 ---> New Demodulator: 22 [new_demod,21] product(a10,a11)=a12.
% 1.62/1.84 ** KEPT (pick-wt=5): 23 [] product(a12,a3)=a13.
% 1.62/1.84 ---> New Demodulator: 24 [new_demod,23] product(a12,a3)=a13.
% 1.62/1.84 ** KEPT (pick-wt=5): 25 [] product(a13,a8)=a6.
% 1.62/1.84 ---> New Demodulator: 26 [new_demod,25] product(a13,a8)=a6.
% 1.62/1.84 ** KEPT (pick-wt=5): 27 [] product(a6,a7)=a2.
% 1.62/1.84 ---> New Demodulator: 28 [new_demod,27] product(a6,a7)=a2.
% 1.62/1.84 ** KEPT (pick-wt=5): 29 [] product(a2,a12)=a14.
% 1.62/1.84 ---> New Demodulator: 30 [new_demod,29] product(a2,a12)=a14.
% 1.62/1.84 ** KEPT (pick-wt=5): 31 [] product(a14,a3)=a15.
% 1.62/1.84 ---> New Demodulator: 32 [new_demod,31] product(a14,a3)=a15.
% 1.62/1.84 ** KEPT (pick-wt=5): 33 [] product(a15,a8)=a4.
% 1.62/1.84 ---> New Demodulator: 34 [new_demod,33] product(a15,a8)=a4.
% 1.62/1.84 ** KEPT (pick-wt=5): 35 [] product(a4,a7)=a11.
% 1.62/1.84 ---> New Demodulator: 36 [new_demod,35] product(a4,a7)=a11.
% 1.62/1.84 ** KEPT (pick-wt=5): 37 [] product(a11,a10)=a1.
% 1.62/1.84 ---> New Demodulator: 38 [new_demod,37] product(a11,a10)=a1.
% 1.62/1.84 Following clause subsumed by 3 during input processing: 0 [copy,3,flip.1] A=A.
% 1.62/1.87 >>>> Starting back demodulation with 5.
% 1.62/1.87 >>>> Starting back demodulation with 7.
% 1.62/1.87 ** KEPT (pick-wt=13): 39 [copy,8,flip.1] product(product(A,B),product(C,B))=product(product(A,C),B).
% 1.62/1.87 >>>> Starting back demodulation with 10.
% 1.62/1.87 >>>> Starting back demodulation with 12.
% 1.62/1.87 >>>> Starting back demodulation with 14.
% 1.62/1.87 >>>> Starting back demodulation with 16.
% 1.62/1.87 >>>> Starting back demodulation with 18.
% 1.62/1.87 >>>> Starting back demodulation with 20.
% 1.62/1.87 >>>> Starting back demodulation with 22.
% 1.62/1.87 >>>> Starting back demodulation with 24.
% 1.62/1.87 >>>> Starting back demodulation with 26.
% 1.62/1.87 >>>> Starting back demodulation with 28.
% 1.62/1.87 >>>> Starting back demodulation with 30.
% 1.62/1.87 >>>> Starting back demodulation with 32.
% 1.62/1.87 >>>> Starting back demodulation with 34.
% 1.62/1.87 >>>> Starting back demodulation with 36.
% 1.62/1.87 >>>> Starting back demodulation with 38.
% 1.62/1.87 Following clause subsumed by 8 during input processing: 0 [copy,39,flip.1] product(product(A,B),C)=product(product(A,C),product(B,C)).
% 1.62/1.87
% 1.62/1.87 ======= end of input processing =======
% 1.62/1.87
% 1.62/1.87 =========== start of search ===========
% 1.62/1.87
% 1.62/1.87 -------- PROOF --------
% 1.62/1.87
% 1.62/1.87 ----> UNIT CONFLICT at 0.03 sec ----> 1536 [binary,1535.1,3.1] $F.
% 1.62/1.87
% 1.62/1.87 Length of proof is 87. Level of proof is 23.
% 1.62/1.87
% 1.62/1.87 ---------------- PROOF ----------------
% 1.62/1.87 % SZS status Unsatisfiable
% 1.62/1.87 % SZS output start Refutation
% See solution above
% 1.62/1.87 ------------ end of proof -------------
% 1.62/1.87
% 1.62/1.87
% 1.62/1.87 Search stopped by max_proofs option.
% 1.62/1.87
% 1.62/1.87
% 1.62/1.87 Search stopped by max_proofs option.
% 1.62/1.87
% 1.62/1.87 ============ end of search ============
% 1.62/1.87
% 1.62/1.87 -------------- statistics -------------
% 1.62/1.87 clauses given 70
% 1.62/1.87 clauses generated 676
% 1.62/1.87 clauses kept 797
% 1.62/1.87 clauses forward subsumed 581
% 1.62/1.87 clauses back subsumed 0
% 1.62/1.87 Kbytes malloced 2929
% 1.62/1.87
% 1.62/1.87 ----------- times (seconds) -----------
% 1.62/1.87 user CPU time 0.03 (0 hr, 0 min, 0 sec)
% 1.62/1.87 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.62/1.87 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.62/1.87
% 1.62/1.87 That finishes the proof of the theorem.
% 1.62/1.87
% 1.62/1.87 Process 30664 finished Wed Jul 27 02:17:23 2022
% 1.62/1.87 Otter interrupted
% 1.62/1.87 PROOF FOUND
%------------------------------------------------------------------------------