TSTP Solution File: GRP334-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP334-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n025.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 12:56:52 EDT 2022
% Result : Unsatisfiable 22.73s 22.96s
% Output : Refutation 22.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 22
% Syntax : Number of clauses : 126 ( 31 unt; 81 nHn; 109 RR)
% Number of literals : 253 ( 252 equ; 58 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( multiply(sk_c6,sk_c7) != sk_c5
| multiply(A,sk_c6) != sk_c7
| inverse(A) != sk_c6
| inverse(B) != sk_c6
| multiply(B,sk_c5) != sk_c6
| inverse(sk_c6) != sk_c5
| inverse(sk_c7) != sk_c5
| multiply(sk_c6,C) != sk_c5
| multiply(D,sk_c6) != C
| inverse(D) != sk_c6 ),
file('GRP334-1.p',unknown),
[] ).
cnf(2,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| multiply(A,sk_c6) != sk_c7
| inverse(A) != sk_c6
| inverse(B) != sk_c6
| multiply(B,sk_c5) != sk_c6
| inverse(sk_c6) != sk_c5
| inverse(sk_c7) != sk_c5 ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(copy,[status(thm)],[1])])])]),
[iquote('copy,1,factor_simp,factor_simp,factor_simp')] ).
cnf(3,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| multiply(A,sk_c6) != sk_c7
| inverse(A) != sk_c6
| multiply(A,sk_c5) != sk_c6
| inverse(sk_c6) != sk_c5
| inverse(sk_c7) != sk_c5 ),
inference(factor,[status(thm)],[2]),
[iquote('factor,2.3.4')] ).
cnf(4,axiom,
A = A,
file('GRP334-1.p',unknown),
[] ).
cnf(6,axiom,
multiply(identity,A) = A,
file('GRP334-1.p',unknown),
[] ).
cnf(8,axiom,
multiply(inverse(A),A) = identity,
file('GRP334-1.p',unknown),
[] ).
cnf(9,axiom,
multiply(multiply(A,B),C) = multiply(A,multiply(B,C)),
file('GRP334-1.p',unknown),
[] ).
cnf(12,axiom,
multiply(sk_c6,sk_c7) = sk_c5,
file('GRP334-1.p',unknown),
[] ).
cnf(13,axiom,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c6) = sk_c5 ),
file('GRP334-1.p',unknown),
[] ).
cnf(15,axiom,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c6,sk_c4) = sk_c5 ),
file('GRP334-1.p',unknown),
[] ).
cnf(16,axiom,
( multiply(sk_c1,sk_c6) = sk_c7
| multiply(sk_c3,sk_c6) = sk_c4 ),
file('GRP334-1.p',unknown),
[] ).
cnf(17,axiom,
( multiply(sk_c1,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c6 ),
file('GRP334-1.p',unknown),
[] ).
cnf(19,axiom,
( inverse(sk_c1) = sk_c6
| inverse(sk_c7) = sk_c5 ),
file('GRP334-1.p',unknown),
[] ).
cnf(20,axiom,
( inverse(sk_c1) = sk_c6
| multiply(sk_c6,sk_c4) = sk_c5 ),
file('GRP334-1.p',unknown),
[] ).
cnf(21,axiom,
( inverse(sk_c1) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c4 ),
file('GRP334-1.p',unknown),
[] ).
cnf(22,axiom,
( inverse(sk_c1) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('GRP334-1.p',unknown),
[] ).
cnf(23,axiom,
( inverse(sk_c2) = sk_c6
| inverse(sk_c6) = sk_c5 ),
file('GRP334-1.p',unknown),
[] ).
cnf(24,axiom,
( inverse(sk_c2) = sk_c6
| inverse(sk_c7) = sk_c5 ),
file('GRP334-1.p',unknown),
[] ).
cnf(25,axiom,
( inverse(sk_c2) = sk_c6
| multiply(sk_c6,sk_c4) = sk_c5 ),
file('GRP334-1.p',unknown),
[] ).
cnf(26,axiom,
( inverse(sk_c2) = sk_c6
| multiply(sk_c3,sk_c6) = sk_c4 ),
file('GRP334-1.p',unknown),
[] ).
cnf(27,axiom,
( inverse(sk_c2) = sk_c6
| inverse(sk_c3) = sk_c6 ),
file('GRP334-1.p',unknown),
[] ).
cnf(28,axiom,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c6) = sk_c5 ),
file('GRP334-1.p',unknown),
[] ).
cnf(29,axiom,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c7) = sk_c5 ),
file('GRP334-1.p',unknown),
[] ).
cnf(30,axiom,
( multiply(sk_c2,sk_c5) = sk_c6
| multiply(sk_c6,sk_c4) = sk_c5 ),
file('GRP334-1.p',unknown),
[] ).
cnf(33,plain,
( multiply(A,sk_c6) != sk_c7
| inverse(A) != sk_c6
| multiply(A,sk_c5) != sk_c6
| inverse(sk_c6) != sk_c5
| inverse(sk_c7) != sk_c5 ),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[3]),12]),4]),
[iquote('back_demod,3,demod,12,unit_del,4')] ).
cnf(34,plain,
( multiply(A,sk_c6) != sk_c7
| inverse(A) != sk_c6
| inverse(B) != sk_c6
| multiply(B,sk_c5) != sk_c6
| inverse(sk_c6) != sk_c5
| inverse(sk_c7) != sk_c5 ),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2]),12]),4]),
[iquote('back_demod,2,demod,12,unit_del,4')] ).
cnf(37,plain,
multiply(sk_c6,multiply(sk_c7,A)) = multiply(sk_c5,A),
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[9,12])]),
[iquote('para_into,9.1.1.1,11.1.1,flip.1')] ).
cnf(39,plain,
multiply(inverse(A),multiply(A,B)) = B,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[9,8]),6])]),
[iquote('para_into,9.1.1.1,7.1.1,demod,6,flip.1')] ).
cnf(41,plain,
( multiply(sk_c6,sk_c1) = identity
| inverse(sk_c7) = sk_c5 ),
inference(para_from,[status(thm),theory(equality)],[19,8]),
[iquote('para_from,19.1.1,7.1.1.1')] ).
cnf(46,plain,
( multiply(sk_c5,sk_c6) = identity
| inverse(sk_c2) = sk_c6 ),
inference(para_from,[status(thm),theory(equality)],[23,8]),
[iquote('para_from,23.2.1,7.1.1.1')] ).
cnf(52,plain,
( multiply(sk_c6,sk_c3) = identity
| inverse(sk_c2) = sk_c6 ),
inference(para_from,[status(thm),theory(equality)],[27,8]),
[iquote('para_from,27.2.1,7.1.1.1')] ).
cnf(53,plain,
( multiply(sk_c6,multiply(sk_c3,A)) = A
| inverse(sk_c2) = sk_c6 ),
inference(para_into,[status(thm),theory(equality)],[39,27]),
[iquote('para_into,39.1.1.1,27.2.1')] ).
cnf(59,plain,
( multiply(sk_c6,multiply(sk_c3,A)) = A
| inverse(sk_c1) = sk_c6 ),
inference(para_into,[status(thm),theory(equality)],[39,22]),
[iquote('para_into,39.1.1.1,22.2.1')] ).
cnf(67,plain,
multiply(inverse(inverse(A)),B) = multiply(A,B),
inference(para_into,[status(thm),theory(equality)],[39,39]),
[iquote('para_into,39.1.1.2,39.1.1')] ).
cnf(68,plain,
( multiply(inverse(sk_c1),sk_c7) = sk_c6
| inverse(sk_c6) = sk_c5 ),
inference(para_into,[status(thm),theory(equality)],[39,13]),
[iquote('para_into,39.1.1.2,13.1.1')] ).
cnf(70,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c7,
inference(para_into,[status(thm),theory(equality)],[39,12]),
[iquote('para_into,39.1.1.2,11.1.1')] ).
cnf(71,plain,
multiply(inverse(multiply(A,B)),multiply(A,multiply(B,C))) = C,
inference(para_into,[status(thm),theory(equality)],[39,9]),
[iquote('para_into,39.1.1.2,9.1.1')] ).
cnf(74,plain,
multiply(A,identity) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[39,8]),67]),
[iquote('para_into,39.1.1.2,7.1.1,demod,67')] ).
cnf(78,plain,
inverse(identity) = identity,
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[74,8])]),
[iquote('para_into,73.1.1,7.1.1,flip.1')] ).
cnf(91,plain,
( multiply(sk_c6,sk_c3) = identity
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(para_from,[status(thm),theory(equality)],[17,8]),
[iquote('para_from,17.2.1,7.1.1.1')] ).
cnf(94,plain,
( sk_c7 = sk_c4
| inverse(sk_c1) = sk_c6 ),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[20,39]),70]),
[iquote('para_from,20.2.1,39.1.1.2,demod,70')] ).
cnf(99,plain,
( multiply(sk_c6,sk_c1) = identity
| sk_c7 = sk_c4 ),
inference(para_from,[status(thm),theory(equality)],[94,8]),
[iquote('para_from,94.2.1,7.1.1.1')] ).
cnf(102,plain,
( sk_c7 = sk_c4
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[15,39]),70]),
[iquote('para_from,15.2.1,39.1.1.2,demod,70')] ).
cnf(108,plain,
( inverse(sk_c6) = sk_c1
| sk_c7 = sk_c4 ),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[99,39]),74]),
[iquote('para_from,99.1.1,39.1.1.2,demod,74')] ).
cnf(112,plain,
( multiply(sk_c1,sk_c6) = identity
| sk_c7 = sk_c4 ),
inference(para_from,[status(thm),theory(equality)],[108,8]),
[iquote('para_from,108.1.1,7.1.1.1')] ).
cnf(128,plain,
( sk_c7 = identity
| sk_c7 = sk_c4 ),
inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[112,102])]),
[iquote('para_into,112.1.1,102.2.1,factor_simp')] ).
cnf(132,plain,
( sk_c6 = sk_c5
| sk_c7 = sk_c4 ),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[128,12]),74]),
[iquote('para_from,128.1.1,11.1.1.2,demod,74')] ).
cnf(161,plain,
( sk_c7 = sk_c4
| inverse(sk_c2) = sk_c6 ),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[25,39]),70]),
[iquote('para_from,25.2.1,39.1.1.2,demod,70')] ).
cnf(163,plain,
( inverse(sk_c2) = sk_c6
| inverse(sk_c4) = sk_c5 ),
inference(factor_simp,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[161,24])]),
[iquote('para_from,161.1.1,24.2.1.1,factor_simp')] ).
cnf(165,plain,
( multiply(sk_c6,sk_c2) = identity
| sk_c7 = sk_c4 ),
inference(para_from,[status(thm),theory(equality)],[161,8]),
[iquote('para_from,161.2.1,7.1.1.1')] ).
cnf(182,plain,
( inverse(sk_c6) = sk_c2
| sk_c7 = sk_c4 ),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[165,39]),74]),
[iquote('para_from,165.1.1,39.1.1.2,demod,74')] ).
cnf(184,plain,
( inverse(sk_c5) = sk_c2
| sk_c7 = sk_c4 ),
inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[182,132])]),
[iquote('para_into,182.1.1.1,132.1.1,factor_simp')] ).
cnf(187,plain,
( multiply(sk_c2,sk_c5) = sk_c7
| sk_c7 = sk_c4 ),
inference(para_from,[status(thm),theory(equality)],[182,70]),
[iquote('para_from,182.1.1,69.1.1.1')] ).
cnf(204,plain,
( multiply(sk_c2,sk_c5) = identity
| sk_c7 = sk_c4 ),
inference(para_from,[status(thm),theory(equality)],[184,8]),
[iquote('para_from,184.1.1,7.1.1.1')] ).
cnf(265,plain,
( sk_c7 = sk_c4
| multiply(sk_c2,sk_c5) = sk_c6 ),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[30,39]),70]),
[iquote('para_from,30.2.1,39.1.1.2,demod,70')] ).
cnf(268,plain,
( sk_c7 = sk_c4
| sk_c6 = identity ),
inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[265,204])]),
[iquote('para_into,265.2.1,204.1.1,factor_simp')] ).
cnf(269,plain,
( sk_c7 = sk_c4
| sk_c7 = sk_c6 ),
inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[265,187])]),
[iquote('para_into,265.2.1,187.1.1,factor_simp')] ).
cnf(270,plain,
( multiply(sk_c2,sk_c5) = sk_c6
| inverse(sk_c4) = sk_c5 ),
inference(factor_simp,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[265,29])]),
[iquote('para_from,265.1.1,29.2.1.1,factor_simp')] ).
cnf(275,plain,
( sk_c7 = sk_c4
| sk_c5 = identity ),
inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[268,132])]),
[iquote('para_into,268.2.1,132.1.1,factor_simp')] ).
cnf(289,plain,
( inverse(sk_c6) = sk_c7
| sk_c7 = sk_c4 ),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[275,70]),74]),
[iquote('para_from,275.2.1,69.1.1.2,demod,74')] ).
cnf(322,plain,
( sk_c7 != identity
| inverse(inverse(sk_c6)) != sk_c6
| sk_c7 != sk_c6
| inverse(sk_c6) != sk_c5
| inverse(sk_c7) != sk_c5 ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[33,8]),70])]),
[iquote('para_into,33.1.1,7.1.1,demod,70,flip.1')] ).
cnf(606,plain,
( inverse(sk_c5) = sk_c7
| sk_c7 = sk_c4 ),
inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[289,132])]),
[iquote('para_into,289.1.1.1,132.1.1,factor_simp')] ).
cnf(672,plain,
( multiply(sk_c7,sk_c5) = identity
| sk_c7 = sk_c4 ),
inference(para_from,[status(thm),theory(equality)],[606,8]),
[iquote('para_from,606.1.1,7.1.1.1')] ).
cnf(760,plain,
( inverse(sk_c6) = sk_c1
| inverse(sk_c7) = sk_c5 ),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[41,39]),74]),
[iquote('para_from,41.1.1,39.1.1.2,demod,74')] ).
cnf(1240,plain,
( inverse(sk_c7) = sk_c5
| sk_c7 = sk_c4 ),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[672,39]),74]),
[iquote('para_from,672.1.1,39.1.1.2,demod,74')] ).
cnf(1251,plain,
( inverse(sk_c6) = sk_c5
| sk_c7 = sk_c4 ),
inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[1240,269])]),
[iquote('para_into,1240.1.1.1,269.2.1,factor_simp')] ).
cnf(1283,plain,
sk_c7 = sk_c4,
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1251,34,102,94,161,265,1240])])])])])]),
[iquote('hyper,1251,34,102,94,161,265,1240,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(1491,plain,
( inverse(sk_c6) = sk_c1
| inverse(sk_c4) = sk_c5 ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[760]),1283]),
[iquote('back_demod,760,demod,1283')] ).
cnf(1705,plain,
( sk_c4 != identity
| inverse(inverse(sk_c6)) != sk_c6
| sk_c6 != sk_c4
| inverse(sk_c6) != sk_c5
| inverse(sk_c4) != sk_c5 ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[322]),1283,1283,1283])]),
[iquote('back_demod,322,demod,1283,1283,1283,flip.3')] ).
cnf(1736,plain,
( multiply(sk_c6,sk_c3) = identity
| multiply(sk_c1,sk_c6) = sk_c4 ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[91]),1283]),
[iquote('back_demod,91,demod,1283')] ).
cnf(1749,plain,
multiply(inverse(sk_c6),sk_c5) = sk_c4,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[70]),1283]),
[iquote('back_demod,69,demod,1283')] ).
cnf(1751,plain,
( multiply(inverse(sk_c1),sk_c4) = sk_c6
| inverse(sk_c6) = sk_c5 ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[68]),1283]),
[iquote('back_demod,68,demod,1283')] ).
cnf(1755,plain,
multiply(sk_c6,multiply(sk_c4,A)) = multiply(sk_c5,A),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[37]),1283]),
[iquote('back_demod,37,demod,1283')] ).
cnf(1760,plain,
( multiply(sk_c1,sk_c6) = sk_c4
| multiply(sk_c3,sk_c6) = sk_c4 ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[16]),1283]),
[iquote('back_demod,16,demod,1283')] ).
cnf(1762,plain,
( multiply(sk_c1,sk_c6) = sk_c4
| inverse(sk_c6) = sk_c5 ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[13]),1283]),
[iquote('back_demod,13,demod,1283')] ).
cnf(1764,plain,
multiply(sk_c6,sk_c4) = sk_c5,
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[12]),1283]),
[iquote('back_demod,11,demod,1283')] ).
cnf(1795,plain,
( sk_c6 = sk_c5
| inverse(sk_c2) = sk_c6 ),
inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[53,26]),1764])]),
[iquote('para_into,53.1.1.2,26.2.1,demod,1764,factor_simp')] ).
cnf(1819,plain,
( sk_c4 = identity
| inverse(sk_c2) = sk_c6 ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[1795,1749]),8])]),
[iquote('para_from,1795.1.1,1749.1.1.1.1,demod,8,flip.1')] ).
cnf(1822,plain,
( inverse(sk_c2) = sk_c6
| sk_c5 = identity ),
inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[1819,163]),78])]),
[iquote('para_from,1819.1.1,163.2.1.1,demod,78,factor_simp')] ).
cnf(1830,plain,
( sk_c6 = identity
| inverse(sk_c2) = sk_c6 ),
inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[1822,46]),6])]),
[iquote('para_from,1822.2.1,46.1.1.1,demod,6,factor_simp')] ).
cnf(1835,plain,
( sk_c3 = identity
| inverse(sk_c2) = sk_c6 ),
inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[1830,52]),6])]),
[iquote('para_from,1830.1.1,52.1.1.1,demod,6,factor_simp')] ).
cnf(1847,plain,
( inverse(sk_c2) = sk_c6
| sk_c6 = sk_c4 ),
inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[1835,26]),6])]),
[iquote('para_from,1835.1.1,26.2.1.1,demod,6,factor_simp')] ).
cnf(1911,plain,
( sk_c6 = sk_c5
| inverse(sk_c1) = sk_c6 ),
inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[59,21]),1764])]),
[iquote('para_into,59.1.1.2,21.2.1,demod,1764,factor_simp')] ).
cnf(1937,plain,
( sk_c4 = identity
| inverse(sk_c1) = sk_c6 ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[1911,1749]),8])]),
[iquote('para_from,1911.1.1,1749.1.1.1.1,demod,8,flip.1')] ).
cnf(1976,plain,
( multiply(sk_c1,sk_c5) = sk_c4
| inverse(sk_c4) = sk_c5 ),
inference(para_from,[status(thm),theory(equality)],[1491,1749]),
[iquote('para_from,1491.1.1,1749.1.1.1')] ).
cnf(2090,plain,
inverse(inverse(A)) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[67,74]),74]),
[iquote('para_into,66.1.1,73.1.1,demod,74')] ).
cnf(2094,plain,
multiply(A,inverse(A)) = identity,
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[67,8])]),
[iquote('para_into,66.1.1,7.1.1,flip.1')] ).
cnf(2095,plain,
( sk_c4 != identity
| sk_c6 != sk_c4
| inverse(sk_c6) != sk_c5
| inverse(sk_c4) != sk_c5 ),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1705]),2090]),4]),
[iquote('back_demod,1705,demod,2090,unit_del,4')] ).
cnf(2104,plain,
( inverse(sk_c6) = sk_c1
| sk_c4 = identity ),
inference(para_into,[status(thm),theory(equality)],[2090,1937]),
[iquote('para_into,2089.1.1.1,1937.2.1')] ).
cnf(2110,plain,
( inverse(sk_c6) = sk_c2
| sk_c6 = sk_c4 ),
inference(para_into,[status(thm),theory(equality)],[2090,1847]),
[iquote('para_into,2089.1.1.1,1847.1.1')] ).
cnf(2179,plain,
multiply(A,multiply(B,inverse(multiply(A,B)))) = identity,
inference(para_into,[status(thm),theory(equality)],[2094,9]),
[iquote('para_into,2093.1.1,9.1.1')] ).
cnf(2209,plain,
multiply(inverse(multiply(A,B)),A) = inverse(B),
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[71,2094]),74]),
[iquote('para_into,71.1.1.2.2,2093.1.1,demod,74')] ).
cnf(2274,plain,
( multiply(sk_c1,sk_c5) = sk_c4
| sk_c4 = identity ),
inference(para_from,[status(thm),theory(equality)],[2104,1749]),
[iquote('para_from,2104.1.1,1749.1.1.1')] ).
cnf(2329,plain,
( multiply(sk_c2,sk_c5) = sk_c4
| sk_c6 = sk_c4 ),
inference(para_from,[status(thm),theory(equality)],[2110,1749]),
[iquote('para_from,2110.1.1,1749.1.1.1')] ).
cnf(3699,plain,
( sk_c6 = sk_c4
| inverse(sk_c4) = sk_c5 ),
inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[2329,270])]),
[iquote('para_into,2329.1.1,270.1.1,factor_simp')] ).
cnf(3706,plain,
( sk_c6 = sk_c4
| inverse(sk_c6) = sk_c5 ),
inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[2329,28])]),
[iquote('para_into,2329.1.1,28.1.1,factor_simp')] ).
cnf(3834,plain,
( inverse(sk_c5) = sk_c4
| sk_c6 = sk_c4 ),
inference(para_from,[status(thm),theory(equality)],[3699,2090]),
[iquote('para_from,3699.2.1,2089.1.1.1')] ).
cnf(4013,plain,
( inverse(sk_c5) = sk_c6
| sk_c6 = sk_c4 ),
inference(para_from,[status(thm),theory(equality)],[3706,2090]),
[iquote('para_from,3706.2.1,2089.1.1.1')] ).
cnf(4538,plain,
sk_c6 = sk_c4,
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[4013,3834])])]),
[iquote('para_into,4013.1.1,3834.1.1,factor_simp,factor_simp')] ).
cnf(5348,plain,
( sk_c4 != identity
| inverse(sk_c4) != sk_c5 ),
inference(factor_simp,[status(thm)],[inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2095]),4538,4538]),4])]),
[iquote('back_demod,2095,demod,4538,4538,unit_del,4,factor_simp')] ).
cnf(5506,plain,
( multiply(sk_c1,sk_c4) = sk_c4
| inverse(sk_c4) = sk_c5 ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1762]),4538,4538]),
[iquote('back_demod,1762,demod,4538,4538')] ).
cnf(5507,plain,
( multiply(sk_c1,sk_c4) = sk_c4
| multiply(sk_c3,sk_c4) = sk_c4 ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1760]),4538,4538]),
[iquote('back_demod,1760,demod,4538,4538')] ).
cnf(5510,plain,
multiply(sk_c5,A) = multiply(sk_c4,multiply(sk_c4,A)),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1755]),4538])]),
[iquote('back_demod,1755,demod,4538,flip.1')] ).
cnf(5514,plain,
( multiply(inverse(sk_c1),sk_c4) = sk_c4
| inverse(sk_c4) = sk_c5 ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1751]),4538,4538]),
[iquote('back_demod,1751,demod,4538,4538')] ).
cnf(5523,plain,
( multiply(sk_c4,sk_c3) = identity
| multiply(sk_c1,sk_c4) = sk_c4 ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1736]),4538,4538]),
[iquote('back_demod,1736,demod,4538,4538')] ).
cnf(5786,plain,
multiply(sk_c1,sk_c5) = sk_c4,
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[5348,2274,1976])]),
[iquote('hyper,5348,2274,1976,factor_simp')] ).
cnf(5793,plain,
multiply(sk_c1,sk_c4) = identity,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[5786,2179]),5510,2094,74]),
[iquote('para_from,5786.1.1,2179.1.1.2.2.1,demod,5510,2094,74')] ).
cnf(5795,plain,
multiply(inverse(sk_c1),sk_c4) = sk_c5,
inference(para_from,[status(thm),theory(equality)],[5786,39]),
[iquote('para_from,5786.1.1,39.1.1.2')] ).
cnf(5796,plain,
( multiply(sk_c4,sk_c3) = identity
| sk_c4 = identity ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[5523]),5793])]),
[iquote('back_demod,5523,demod,5793,flip.2')] ).
cnf(5799,plain,
( sk_c4 = identity
| multiply(sk_c3,sk_c4) = sk_c4 ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[5507]),5793])]),
[iquote('back_demod,5507,demod,5793,flip.1')] ).
cnf(5800,plain,
( sk_c4 = identity
| inverse(sk_c4) = sk_c5 ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[5506]),5793])]),
[iquote('back_demod,5506,demod,5793,flip.1')] ).
cnf(5804,plain,
( sk_c5 = sk_c4
| inverse(sk_c4) = sk_c5 ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[5514]),5795]),
[iquote('back_demod,5514,demod,5795')] ).
cnf(5807,plain,
inverse(sk_c4) = sk_c1,
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[5793,2209]),78,6])]),
[iquote('para_from,5792.1.1,2209.1.1.1.1,demod,78,6,flip.1')] ).
cnf(5812,plain,
( sk_c5 = sk_c4
| sk_c5 = sk_c1 ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[5804]),5807])]),
[iquote('back_demod,5804,demod,5807,flip.2')] ).
cnf(5813,plain,
( sk_c4 = identity
| sk_c5 = sk_c1 ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[5800]),5807])]),
[iquote('back_demod,5800,demod,5807,flip.2')] ).
cnf(5818,plain,
( sk_c4 != identity
| sk_c5 != sk_c1 ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[5348]),5807])]),
[iquote('back_demod,5348,demod,5807,flip.2')] ).
cnf(5822,plain,
multiply(sk_c4,sk_c1) = identity,
inference(para_from,[status(thm),theory(equality)],[5807,2094]),
[iquote('para_from,5806.1.1,2093.1.1.2')] ).
cnf(5827,plain,
( sk_c1 = identity
| sk_c5 = sk_c1 ),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[5813,5822]),6]),
[iquote('para_from,5813.1.1,5822.1.1.1,demod,6')] ).
cnf(5831,plain,
( sk_c4 != identity
| sk_c5 = sk_c4 ),
inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5818,5812]),4]),
[iquote('para_into,5818.2.1,5812.2.1,unit_del,4')] ).
cnf(5834,plain,
( sk_c4 != identity
| sk_c4 != sk_c1 ),
inference(factor_simp,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[5831,5818])]),
[iquote('para_from,5831.2.1,5818.2.1,factor_simp')] ).
cnf(5835,plain,
( sk_c4 != sk_c1
| sk_c5 = sk_c1 ),
inference(unit_del,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5834,5813]),4]),
[iquote('para_into,5834.1.1,5813.1.1,unit_del,4')] ).
cnf(5836,plain,
( sk_c1 != identity
| sk_c5 = sk_c1 ),
inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[5835,5813])]),
[iquote('para_into,5835.1.1,5813.1.1,factor_simp')] ).
cnf(5838,plain,
sk_c5 = sk_c1,
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[5836,5827])]),
[iquote('hyper,5836,5827,factor_simp')] ).
cnf(5842,plain,
sk_c4 != identity,
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[5818]),5838]),4]),
[iquote('back_demod,5818,demod,5838,unit_del,4')] ).
cnf(5852,plain,
sk_c3 = sk_c1,
inference(flip,[status(thm),theory(equality)],[inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[5796,39]),5807,74]),5842])]),
[iquote('para_from,5796.1.1,39.1.1.2,demod,5807,74,unit_del,5842,flip.1')] ).
cnf(5853,plain,
$false,
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[5799]),5852,5793]),5842,5842]),
[iquote('back_demod,5799,demod,5852,5793,unit_del,5842,5842')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP334-1 : TPTP v8.1.0. Released v2.5.0.
% 0.00/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n025.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 05:20:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.98/2.17 ----- Otter 3.3f, August 2004 -----
% 1.98/2.17 The process was started by sandbox on n025.cluster.edu,
% 1.98/2.17 Wed Jul 27 05:20:30 2022
% 1.98/2.17 The command was "./otter". The process ID is 23410.
% 1.98/2.17
% 1.98/2.17 set(prolog_style_variables).
% 1.98/2.17 set(auto).
% 1.98/2.17 dependent: set(auto1).
% 1.98/2.17 dependent: set(process_input).
% 1.98/2.17 dependent: clear(print_kept).
% 1.98/2.17 dependent: clear(print_new_demod).
% 1.98/2.17 dependent: clear(print_back_demod).
% 1.98/2.17 dependent: clear(print_back_sub).
% 1.98/2.17 dependent: set(control_memory).
% 1.98/2.17 dependent: assign(max_mem, 12000).
% 1.98/2.17 dependent: assign(pick_given_ratio, 4).
% 1.98/2.17 dependent: assign(stats_level, 1).
% 1.98/2.17 dependent: assign(max_seconds, 10800).
% 1.98/2.17 clear(print_given).
% 1.98/2.17
% 1.98/2.17 list(usable).
% 1.98/2.17 0 [] A=A.
% 1.98/2.17 0 [] multiply(identity,X)=X.
% 1.98/2.17 0 [] multiply(inverse(X),X)=identity.
% 1.98/2.17 0 [] multiply(multiply(X,Y),Z)=multiply(X,multiply(Y,Z)).
% 1.98/2.17 0 [] multiply(sk_c6,sk_c7)=sk_c5.
% 1.98/2.17 0 [] multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c6)=sk_c5.
% 1.98/2.17 0 [] multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c7)=sk_c5.
% 1.98/2.17 0 [] multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c6,sk_c4)=sk_c5.
% 1.98/2.17 0 [] multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c3,sk_c6)=sk_c4.
% 1.98/2.17 0 [] multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c3)=sk_c6.
% 1.98/2.17 0 [] inverse(sk_c1)=sk_c6|inverse(sk_c6)=sk_c5.
% 1.98/2.17 0 [] inverse(sk_c1)=sk_c6|inverse(sk_c7)=sk_c5.
% 1.98/2.17 0 [] inverse(sk_c1)=sk_c6|multiply(sk_c6,sk_c4)=sk_c5.
% 1.98/2.17 0 [] inverse(sk_c1)=sk_c6|multiply(sk_c3,sk_c6)=sk_c4.
% 1.98/2.17 0 [] inverse(sk_c1)=sk_c6|inverse(sk_c3)=sk_c6.
% 1.98/2.17 0 [] inverse(sk_c2)=sk_c6|inverse(sk_c6)=sk_c5.
% 1.98/2.17 0 [] inverse(sk_c2)=sk_c6|inverse(sk_c7)=sk_c5.
% 1.98/2.17 0 [] inverse(sk_c2)=sk_c6|multiply(sk_c6,sk_c4)=sk_c5.
% 1.98/2.17 0 [] inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c4.
% 1.98/2.17 0 [] inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c6.
% 1.98/2.17 0 [] multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c6)=sk_c5.
% 1.98/2.17 0 [] multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c7)=sk_c5.
% 1.98/2.17 0 [] multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c6,sk_c4)=sk_c5.
% 1.98/2.17 0 [] multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c3,sk_c6)=sk_c4.
% 1.98/2.17 0 [] multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c3)=sk_c6.
% 1.98/2.17 0 [] multiply(sk_c6,sk_c7)!=sk_c5|multiply(X3,sk_c6)!=sk_c7|inverse(X3)!=sk_c6|inverse(X4)!=sk_c6|multiply(X4,sk_c5)!=sk_c6|inverse(sk_c6)!=sk_c5|inverse(sk_c7)!=sk_c5|multiply(sk_c6,X1)!=sk_c5|multiply(X2,sk_c6)!=X1|inverse(X2)!=sk_c6.
% 1.98/2.17 end_of_list.
% 1.98/2.17
% 1.98/2.17 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=10.
% 1.98/2.17
% 1.98/2.17 This ia a non-Horn set with equality. The strategy will be
% 1.98/2.17 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.98/2.17 deletion, with positive clauses in sos and nonpositive
% 1.98/2.17 clauses in usable.
% 1.98/2.17
% 1.98/2.17 dependent: set(knuth_bendix).
% 1.98/2.17 dependent: set(anl_eq).
% 1.98/2.17 dependent: set(para_from).
% 1.98/2.17 dependent: set(para_into).
% 1.98/2.17 dependent: clear(para_from_right).
% 1.98/2.17 dependent: clear(para_into_right).
% 1.98/2.17 dependent: set(para_from_vars).
% 1.98/2.17 dependent: set(eq_units_both_ways).
% 1.98/2.17 dependent: set(dynamic_demod_all).
% 1.98/2.17 dependent: set(dynamic_demod).
% 1.98/2.17 dependent: set(order_eq).
% 1.98/2.17 dependent: set(back_demod).
% 1.98/2.17 dependent: set(lrpo).
% 1.98/2.17 dependent: set(hyper_res).
% 1.98/2.17 dependent: set(unit_deletion).
% 1.98/2.17 dependent: set(factor).
% 1.98/2.17
% 1.98/2.17 ------------> process usable:
% 1.98/2.17 ** KEPT (pick-wt=31): 2 [copy,1,factor_simp,factor_simp,factor_simp] multiply(sk_c6,sk_c7)!=sk_c5|multiply(A,sk_c6)!=sk_c7|inverse(A)!=sk_c6|inverse(B)!=sk_c6|multiply(B,sk_c5)!=sk_c6|inverse(sk_c6)!=sk_c5|inverse(sk_c7)!=sk_c5.
% 1.98/2.17
% 1.98/2.17 ------------> process sos:
% 1.98/2.17 ** KEPT (pick-wt=3): 4 [] A=A.
% 1.98/2.17 ** KEPT (pick-wt=5): 5 [] multiply(identity,A)=A.
% 1.98/2.17 ---> New Demodulator: 6 [new_demod,5] multiply(identity,A)=A.
% 1.98/2.17 ** KEPT (pick-wt=6): 7 [] multiply(inverse(A),A)=identity.
% 1.98/2.17 ---> New Demodulator: 8 [new_demod,7] multiply(inverse(A),A)=identity.
% 1.98/2.17 ** KEPT (pick-wt=11): 9 [] multiply(multiply(A,B),C)=multiply(A,multiply(B,C)).
% 1.98/2.17 ---> New Demodulator: 10 [new_demod,9] multiply(multiply(A,B),C)=multiply(A,multiply(B,C)).
% 1.98/2.17 ** KEPT (pick-wt=5): 11 [] multiply(sk_c6,sk_c7)=sk_c5.
% 1.98/2.17 ---> New Demodulator: 12 [new_demod,11] multiply(sk_c6,sk_c7)=sk_c5.
% 1.98/2.17 ** KEPT (pick-wt=9): 13 [] multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c6)=sk_c5.
% 1.98/2.17 ** KEPT (pick-wt=9): 14 [] multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c7)=sk_c5.
% 1.98/2.17 ** KEPT (pick-wt=10): 15 [] multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c6,sk_c4)=sk_c5.
% 1.98/2.17 ** KEPT (pick-wt=10): 16 [] multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c3,sk_c6)=sk_c4.
% 22.73/22.96 ** KEPT (pick-wt=9): 17 [] multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c3)=sk_c6.
% 22.73/22.96 ** KEPT (pick-wt=8): 18 [] inverse(sk_c1)=sk_c6|inverse(sk_c6)=sk_c5.
% 22.73/22.96 ** KEPT (pick-wt=8): 19 [] inverse(sk_c1)=sk_c6|inverse(sk_c7)=sk_c5.
% 22.73/22.96 ** KEPT (pick-wt=9): 20 [] inverse(sk_c1)=sk_c6|multiply(sk_c6,sk_c4)=sk_c5.
% 22.73/22.96 ** KEPT (pick-wt=9): 21 [] inverse(sk_c1)=sk_c6|multiply(sk_c3,sk_c6)=sk_c4.
% 22.73/22.96 ** KEPT (pick-wt=8): 22 [] inverse(sk_c1)=sk_c6|inverse(sk_c3)=sk_c6.
% 22.73/22.96 ** KEPT (pick-wt=8): 23 [] inverse(sk_c2)=sk_c6|inverse(sk_c6)=sk_c5.
% 22.73/22.96 ** KEPT (pick-wt=8): 24 [] inverse(sk_c2)=sk_c6|inverse(sk_c7)=sk_c5.
% 22.73/22.96 ** KEPT (pick-wt=9): 25 [] inverse(sk_c2)=sk_c6|multiply(sk_c6,sk_c4)=sk_c5.
% 22.73/22.96 ** KEPT (pick-wt=9): 26 [] inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c4.
% 22.73/22.96 ** KEPT (pick-wt=8): 27 [] inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c6.
% 22.73/22.96 ** KEPT (pick-wt=9): 28 [] multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c6)=sk_c5.
% 22.73/22.96 ** KEPT (pick-wt=9): 29 [] multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c7)=sk_c5.
% 22.73/22.96 ** KEPT (pick-wt=10): 30 [] multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c6,sk_c4)=sk_c5.
% 22.73/22.96 ** KEPT (pick-wt=10): 31 [] multiply(sk_c2,sk_c5)=sk_c6|multiply(sk_c3,sk_c6)=sk_c4.
% 22.73/22.96 ** KEPT (pick-wt=9): 32 [] multiply(sk_c2,sk_c5)=sk_c6|inverse(sk_c3)=sk_c6.
% 22.73/22.96 Following clause subsumed by 4 during input processing: 0 [copy,4,flip.1] A=A.
% 22.73/22.96 >>>> Starting back demodulation with 6.
% 22.73/22.96 >>>> Starting back demodulation with 8.
% 22.73/22.96 >>>> Starting back demodulation with 10.
% 22.73/22.96 >>>> Starting back demodulation with 12.
% 22.73/22.96 >> back demodulating 3 with 12.
% 22.73/22.96 >> back demodulating 2 with 12.
% 22.73/22.96
% 22.73/22.96 ======= end of input processing =======
% 22.73/22.96
% 22.73/22.96 =========== start of search ===========
% 22.73/22.96
% 22.73/22.96
% 22.73/22.96 Resetting weight limit to 8.
% 22.73/22.96
% 22.73/22.96
% 22.73/22.96 Resetting weight limit to 8.
% 22.73/22.96
% 22.73/22.96 sos_size=845
% 22.73/22.96
% 22.73/22.96
% 22.73/22.96 Resetting weight limit to 6.
% 22.73/22.96
% 22.73/22.96
% 22.73/22.96 Resetting weight limit to 6.
% 22.73/22.96
% 22.73/22.96 sos_size=16
% 22.73/22.96
% 22.73/22.96 -- HEY sandbox, WE HAVE A PROOF!! --
% 22.73/22.96
% 22.73/22.96 -----> EMPTY CLAUSE at 20.79 sec ----> 5853 [back_demod,5799,demod,5852,5793,unit_del,5842,5842] $F.
% 22.73/22.96
% 22.73/22.96 Length of proof is 103. Level of proof is 42.
% 22.73/22.96
% 22.73/22.96 ---------------- PROOF ----------------
% 22.73/22.96 % SZS status Unsatisfiable
% 22.73/22.96 % SZS output start Refutation
% See solution above
% 22.73/22.96 ------------ end of proof -------------
% 22.73/22.96
% 22.73/22.96
% 22.73/22.96 Search stopped by max_proofs option.
% 22.73/22.96
% 22.73/22.96
% 22.73/22.96 Search stopped by max_proofs option.
% 22.73/22.96
% 22.73/22.96 ============ end of search ============
% 22.73/22.96
% 22.73/22.96 -------------- statistics -------------
% 22.73/22.96 clauses given 406
% 22.73/22.96 clauses generated 364507
% 22.73/22.96 clauses kept 5797
% 22.73/22.96 clauses forward subsumed 361038
% 22.73/22.96 clauses back subsumed 1640
% 22.73/22.96 Kbytes malloced 4882
% 22.73/22.96
% 22.73/22.96 ----------- times (seconds) -----------
% 22.73/22.96 user CPU time 20.79 (0 hr, 0 min, 20 sec)
% 22.73/22.96 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 22.73/22.96 wall-clock time 23 (0 hr, 0 min, 23 sec)
% 22.73/22.96
% 22.73/22.96 That finishes the proof of the theorem.
% 22.73/22.96
% 22.73/22.96 Process 23410 finished Wed Jul 27 05:20:53 2022
% 22.73/22.96 Otter interrupted
% 22.73/22.96 PROOF FOUND
%------------------------------------------------------------------------------