TSTP Solution File: GRP244-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : GRP244-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n010.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 12:56:46 EDT 2022
% Result : Unsatisfiable 40.55s 40.79s
% Output : Refutation 40.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 31
% Syntax : Number of clauses : 84 ( 18 unt; 55 nHn; 76 RR)
% Number of literals : 194 ( 193 equ; 65 neg)
% Maximal clause size : 15 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 34 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( multiply(A,sk_c11) != sk_c10
| inverse(A) != sk_c11
| multiply(B,sk_c10) != sk_c9
| inverse(B) != sk_c10
| inverse(C) != sk_c11
| multiply(C,sk_c10) != sk_c11
| multiply(D,sk_c11) != sk_c10
| inverse(D) != sk_c11
| multiply(E,sk_c10) != sk_c9
| inverse(E) != sk_c10
| inverse(F) != sk_c11
| multiply(F,sk_c10) != sk_c11
| multiply(G,H) != sk_c10
| inverse(G) != H
| multiply(H,sk_c9) != sk_c10 ),
file('GRP244-1.p',unknown),
[] ).
cnf(2,plain,
( multiply(A,sk_c11) != sk_c10
| inverse(A) != sk_c11
| multiply(B,sk_c10) != sk_c9
| inverse(B) != sk_c10
| inverse(C) != sk_c11
| multiply(C,sk_c10) != sk_c11
| multiply(D,E) != sk_c10
| inverse(D) != E
| multiply(E,sk_c9) != sk_c10 ),
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(factor_simp,[status(thm)],[inference(copy,[status(thm)],[1])])])])])])]),
[iquote('copy,1,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(4,plain,
( multiply(A,sk_c11) != sk_c10
| inverse(A) != sk_c11
| multiply(B,sk_c10) != sk_c9
| inverse(B) != sk_c10
| multiply(A,sk_c10) != sk_c11
| multiply(C,D) != sk_c10
| inverse(C) != D
| multiply(D,sk_c9) != sk_c10 ),
inference(factor,[status(thm)],[2]),
[iquote('factor,2.2.5')] ).
cnf(8,plain,
( multiply(A,sk_c11) != sk_c10
| inverse(A) != sk_c11
| multiply(B,sk_c10) != sk_c9
| inverse(B) != sk_c10
| multiply(A,sk_c10) != sk_c11
| multiply(B,sk_c10) != sk_c10
| multiply(sk_c10,sk_c9) != sk_c10 ),
inference(factor,[status(thm)],[4]),
[iquote('factor,4.4.7')] ).
cnf(10,axiom,
A = A,
file('GRP244-1.p',unknown),
[] ).
cnf(12,axiom,
multiply(identity,A) = A,
file('GRP244-1.p',unknown),
[] ).
cnf(13,axiom,
multiply(inverse(A),A) = identity,
file('GRP244-1.p',unknown),
[] ).
cnf(15,axiom,
multiply(multiply(A,B),C) = multiply(A,multiply(B,C)),
file('GRP244-1.p',unknown),
[] ).
cnf(17,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c4,sk_c11) = sk_c10 ),
file('GRP244-1.p',unknown),
[] ).
cnf(18,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c4) = sk_c11 ),
file('GRP244-1.p',unknown),
[] ).
cnf(19,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c5,sk_c10) = sk_c9 ),
file('GRP244-1.p',unknown),
[] ).
cnf(20,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c5) = sk_c10 ),
file('GRP244-1.p',unknown),
[] ).
cnf(21,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c6) = sk_c11 ),
file('GRP244-1.p',unknown),
[] ).
cnf(22,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c6,sk_c10) = sk_c11 ),
file('GRP244-1.p',unknown),
[] ).
cnf(23,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c10 ),
file('GRP244-1.p',unknown),
[] ).
cnf(24,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c7) = sk_c8 ),
file('GRP244-1.p',unknown),
[] ).
cnf(25,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('GRP244-1.p',unknown),
[] ).
cnf(26,axiom,
( inverse(sk_c1) = sk_c11
| multiply(sk_c4,sk_c11) = sk_c10 ),
file('GRP244-1.p',unknown),
[] ).
cnf(27,axiom,
( inverse(sk_c1) = sk_c11
| inverse(sk_c4) = sk_c11 ),
file('GRP244-1.p',unknown),
[] ).
cnf(28,axiom,
( inverse(sk_c1) = sk_c11
| multiply(sk_c5,sk_c10) = sk_c9 ),
file('GRP244-1.p',unknown),
[] ).
cnf(29,axiom,
( inverse(sk_c1) = sk_c11
| inverse(sk_c5) = sk_c10 ),
file('GRP244-1.p',unknown),
[] ).
cnf(30,axiom,
( inverse(sk_c1) = sk_c11
| inverse(sk_c6) = sk_c11 ),
file('GRP244-1.p',unknown),
[] ).
cnf(31,axiom,
( inverse(sk_c1) = sk_c11
| multiply(sk_c6,sk_c10) = sk_c11 ),
file('GRP244-1.p',unknown),
[] ).
cnf(32,axiom,
( inverse(sk_c1) = sk_c11
| multiply(sk_c7,sk_c8) = sk_c10 ),
file('GRP244-1.p',unknown),
[] ).
cnf(33,axiom,
( inverse(sk_c1) = sk_c11
| inverse(sk_c7) = sk_c8 ),
file('GRP244-1.p',unknown),
[] ).
cnf(34,axiom,
( inverse(sk_c1) = sk_c11
| multiply(sk_c8,sk_c9) = sk_c10 ),
file('GRP244-1.p',unknown),
[] ).
cnf(37,axiom,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c5,sk_c10) = sk_c9 ),
file('GRP244-1.p',unknown),
[] ).
cnf(38,axiom,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c5) = sk_c10 ),
file('GRP244-1.p',unknown),
[] ).
cnf(46,axiom,
( inverse(sk_c2) = sk_c10
| multiply(sk_c5,sk_c10) = sk_c9 ),
file('GRP244-1.p',unknown),
[] ).
cnf(47,axiom,
( inverse(sk_c2) = sk_c10
| inverse(sk_c5) = sk_c10 ),
file('GRP244-1.p',unknown),
[] ).
cnf(57,axiom,
( inverse(sk_c3) = sk_c11
| inverse(sk_c6) = sk_c11 ),
file('GRP244-1.p',unknown),
[] ).
cnf(58,axiom,
( inverse(sk_c3) = sk_c11
| multiply(sk_c6,sk_c10) = sk_c11 ),
file('GRP244-1.p',unknown),
[] ).
cnf(66,axiom,
( multiply(sk_c3,sk_c10) = sk_c11
| inverse(sk_c6) = sk_c11 ),
file('GRP244-1.p',unknown),
[] ).
cnf(67,axiom,
( multiply(sk_c3,sk_c10) = sk_c11
| multiply(sk_c6,sk_c10) = sk_c11 ),
file('GRP244-1.p',unknown),
[] ).
cnf(112,plain,
( sk_c10 != identity
| inverse(inverse(sk_c11)) != sk_c11
| multiply(A,sk_c10) != sk_c9
| inverse(A) != sk_c10
| multiply(inverse(sk_c11),sk_c10) != sk_c11
| multiply(A,sk_c10) != sk_c10
| multiply(sk_c10,sk_c9) != sk_c10 ),
inference(flip,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[13,8])]),
[iquote('para_from,13.1.1,8.1.1,flip.1')] ).
cnf(211,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)],[15,13]),12])]),
[iquote('para_into,15.1.1.1,13.1.1,demod,12,flip.1')] ).
cnf(416,plain,
( multiply(sk_c10,sk_c5) = identity
| inverse(sk_c2) = sk_c10 ),
inference(para_from,[status(thm),theory(equality)],[47,13]),
[iquote('para_from,47.2.1,13.1.1.1')] ).
cnf(673,plain,
( multiply(sk_c11,sk_c3) = identity
| inverse(sk_c6) = sk_c11 ),
inference(para_from,[status(thm),theory(equality)],[57,13]),
[iquote('para_from,57.1.1,13.1.1.1')] ).
cnf(777,plain,
multiply(inverse(inverse(A)),B) = multiply(A,B),
inference(para_into,[status(thm),theory(equality)],[211,211]),
[iquote('para_into,211.1.1.2,211.1.1')] ).
cnf(784,plain,
multiply(A,identity) = A,
inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[211,13]),777]),
[iquote('para_into,211.1.1.2,13.1.1,demod,777')] ).
cnf(802,plain,
inverse(identity) = identity,
inference(flip,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[784,13])]),
[iquote('para_into,783.1.1,13.1.1,flip.1')] ).
cnf(1158,plain,
inverse(sk_c1) = sk_c11,
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(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[34,2,26,27,28,29,30,31,32,33])])])])])])])])]),
[iquote('hyper,34,2,26,27,28,29,30,31,32,33,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(1247,plain,
multiply(sk_c11,sk_c1) = identity,
inference(para_from,[status(thm),theory(equality)],[1158,13]),
[iquote('para_from,1157.1.1,13.1.1.1')] ).
cnf(1258,plain,
inverse(sk_c11) = sk_c1,
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[1247,211]),784]),
[iquote('para_from,1247.1.1,211.1.1.2,demod,784')] ).
cnf(1267,plain,
( sk_c10 != identity
| multiply(A,sk_c10) != sk_c9
| inverse(A) != sk_c10
| multiply(sk_c1,sk_c10) != sk_c11
| multiply(A,sk_c10) != sk_c10
| multiply(sk_c10,sk_c9) != sk_c10 ),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[112]),1258,1158,1258]),10]),
[iquote('back_demod,112,demod,1258,1158,1258,unit_del,10')] ).
cnf(1283,plain,
multiply(sk_c1,multiply(sk_c11,A)) = A,
inference(para_from,[status(thm),theory(equality)],[1258,211]),
[iquote('para_from,1257.1.1,211.1.1.1')] ).
cnf(1286,plain,
multiply(sk_c1,sk_c11) = identity,
inference(para_from,[status(thm),theory(equality)],[1258,13]),
[iquote('para_from,1257.1.1,13.1.1.1')] ).
cnf(1457,plain,
( sk_c10 = identity
| multiply(sk_c8,sk_c9) = sk_c10 ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[25]),1286])]),
[iquote('back_demod,25,demod,1286,flip.1')] ).
cnf(1458,plain,
( sk_c10 = identity
| inverse(sk_c7) = sk_c8 ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[24]),1286])]),
[iquote('back_demod,24,demod,1286,flip.1')] ).
cnf(1459,plain,
( sk_c10 = identity
| multiply(sk_c7,sk_c8) = sk_c10 ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[23]),1286])]),
[iquote('back_demod,23,demod,1286,flip.1')] ).
cnf(1460,plain,
( sk_c10 = identity
| multiply(sk_c6,sk_c10) = sk_c11 ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[22]),1286])]),
[iquote('back_demod,22,demod,1286,flip.1')] ).
cnf(1461,plain,
( sk_c10 = identity
| inverse(sk_c6) = sk_c11 ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[21]),1286])]),
[iquote('back_demod,21,demod,1286,flip.1')] ).
cnf(1462,plain,
( sk_c10 = identity
| inverse(sk_c5) = sk_c10 ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[20]),1286])]),
[iquote('back_demod,20,demod,1286,flip.1')] ).
cnf(1463,plain,
( sk_c10 = identity
| multiply(sk_c5,sk_c10) = sk_c9 ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[19]),1286])]),
[iquote('back_demod,19,demod,1286,flip.1')] ).
cnf(1464,plain,
( sk_c10 = identity
| inverse(sk_c4) = sk_c11 ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[18]),1286])]),
[iquote('back_demod,18,demod,1286,flip.1')] ).
cnf(1465,plain,
( sk_c10 = identity
| multiply(sk_c4,sk_c11) = sk_c10 ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[17]),1286])]),
[iquote('back_demod,17,demod,1286,flip.1')] ).
cnf(1756,plain,
( multiply(inverse(sk_c5),sk_c9) = sk_c10
| multiply(sk_c2,sk_c10) = sk_c9 ),
inference(para_from,[status(thm),theory(equality)],[37,211]),
[iquote('para_from,37.2.1,211.1.1.2')] ).
cnf(1946,plain,
( sk_c9 = sk_c2
| inverse(sk_c5) = sk_c10 ),
inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[38,1462]),784])]),
[iquote('para_into,38.1.1.2,1462.1.1,demod,784,factor_simp')] ).
cnf(2020,plain,
( multiply(sk_c10,sk_c5) = identity
| sk_c9 = sk_c2 ),
inference(para_from,[status(thm),theory(equality)],[1946,13]),
[iquote('para_from,1946.2.1,13.1.1.1')] ).
cnf(2480,plain,
sk_c10 = identity,
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(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1465,2,1464,1463,1462,1461,1460,1459,1458,1457])])])])])])])])]),
[iquote('hyper,1465,2,1464,1463,1462,1461,1460,1459,1458,1457,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(2739,plain,
( sk_c5 = identity
| sk_c9 = sk_c2 ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[2020]),2480,12]),
[iquote('back_demod,2020,demod,2480,12')] ).
cnf(2894,plain,
( multiply(inverse(sk_c5),sk_c9) = identity
| sk_c9 = sk_c2 ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1756]),2480,2480,784])]),
[iquote('back_demod,1756,demod,2480,2480,784,flip.2')] ).
cnf(3120,plain,
( A != sk_c9
| inverse(A) != identity
| sk_c11 != sk_c1
| A != identity
| sk_c9 != identity ),
inference(flip,[status(thm),theory(equality)],[inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[1267]),2480,2480,784,2480,2480,784,2480,784,2480,2480,12,2480]),10])]),
[iquote('back_demod,1267,demod,2480,2480,784,2480,2480,784,2480,784,2480,2480,12,2480,unit_del,10,flip.3')] ).
cnf(3343,plain,
( sk_c5 = identity
| inverse(sk_c2) = identity ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[416]),2480,12,2480]),
[iquote('back_demod,416,demod,2480,12,2480')] ).
cnf(3402,plain,
( sk_c3 = sk_c11
| sk_c6 = sk_c11 ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[67]),2480,784,2480,784]),
[iquote('back_demod,67,demod,2480,784,2480,784')] ).
cnf(3403,plain,
( sk_c3 = sk_c11
| inverse(sk_c6) = sk_c11 ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[66]),2480,784]),
[iquote('back_demod,66,demod,2480,784')] ).
cnf(3410,plain,
( inverse(sk_c3) = sk_c11
| sk_c6 = sk_c11 ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[58]),2480,784]),
[iquote('back_demod,58,demod,2480,784')] ).
cnf(3420,plain,
( inverse(sk_c2) = identity
| sk_c9 = sk_c5 ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[46]),2480,2480,784])]),
[iquote('back_demod,46,demod,2480,2480,784,flip.2')] ).
cnf(3645,plain,
( inverse(sk_c9) != identity
| sk_c11 != sk_c1
| sk_c9 != identity ),
inference(unit_del,[status(thm)],[inference(factor,[status(thm)],[3120]),10]),
[iquote('factor,3120.4.5,unit_del,10')] ).
cnf(3906,plain,
( sk_c3 = sk_c1
| inverse(sk_c6) = sk_c11 ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[673,1283]),784])]),
[iquote('para_from,673.1.1,1283.1.1.2,demod,784,flip.1')] ).
cnf(3911,plain,
( sk_c2 = identity
| sk_c5 = identity ),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[3343,13]),12]),
[iquote('para_from,3343.2.1,13.1.1.1,demod,12')] ).
cnf(3917,plain,
( sk_c3 = sk_c11
| sk_c11 = sk_c1 ),
inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[3403,3402]),1258])]),
[iquote('para_into,3403.2.1.1,3402.2.1,demod,1258,factor_simp')] ).
cnf(3935,plain,
( sk_c11 = sk_c1
| sk_c6 = sk_c11 ),
inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[3410,3917]),1258])]),
[iquote('para_into,3410.1.1.1,3917.1.1,demod,1258,factor_simp')] ).
cnf(3951,plain,
( sk_c2 = identity
| sk_c9 = sk_c5 ),
inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[3420,13]),12]),
[iquote('para_from,3420.1.1,13.1.1.1,demod,12')] ).
cnf(3957,plain,
( sk_c3 = sk_c1
| sk_c11 = sk_c1 ),
inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[3906,3935]),1258])]),
[iquote('para_into,3906.2.1.1,3935.2.1,demod,1258,factor_simp')] ).
cnf(3960,plain,
sk_c11 = sk_c1,
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[3957,3917])])]),
[iquote('para_into,3957.1.1,3917.1.1,factor_simp,factor_simp')] ).
cnf(3986,plain,
( inverse(sk_c9) != identity
| sk_c9 != identity ),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[3645]),3960]),10]),
[iquote('back_demod,3645,demod,3960,unit_del,10')] ).
cnf(4056,plain,
( sk_c9 = identity
| sk_c9 = sk_c2 ),
inference(factor_simp,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_into,[status(thm),theory(equality)],[2894,2739]),802,12])]),
[iquote('para_into,2894.1.1.1.1,2739.1.1,demod,802,12,factor_simp')] ).
cnf(4058,plain,
( sk_c9 != identity
| sk_c9 = sk_c2 ),
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(para_from,[status(thm),theory(equality)],[4056,3986]),802]),10]),
[iquote('para_from,4056.1.1,3986.1.1.1,demod,802,unit_del,10')] ).
cnf(4060,plain,
sk_c9 = sk_c2,
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4058,4056])]),
[iquote('hyper,4058,4056,factor_simp')] ).
cnf(4063,plain,
( inverse(sk_c2) != identity
| sk_c2 != identity ),
inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[3986]),4060,4060]),
[iquote('back_demod,3986,demod,4060,4060')] ).
cnf(4064,plain,
( sk_c2 = identity
| sk_c5 = sk_c2 ),
inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[3951]),4060])]),
[iquote('back_demod,3951,demod,4060,flip.2')] ).
cnf(4070,plain,
sk_c2 = identity,
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(para_into,[status(thm),theory(equality)],[4064,3911])])]),
[iquote('para_into,4064.2.1,3911.2.1,factor_simp,factor_simp')] ).
cnf(4071,plain,
$false,
inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[4063]),4070,802,4070]),10,10]),
[iquote('back_demod,4063,demod,4070,802,4070,unit_del,10,10')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP244-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n010.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 05:12:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.79/2.01 ----- Otter 3.3f, August 2004 -----
% 1.79/2.01 The process was started by sandbox on n010.cluster.edu,
% 1.79/2.01 Wed Jul 27 05:12:55 2022
% 1.79/2.01 The command was "./otter". The process ID is 8905.
% 1.79/2.01
% 1.79/2.01 set(prolog_style_variables).
% 1.79/2.01 set(auto).
% 1.79/2.01 dependent: set(auto1).
% 1.79/2.01 dependent: set(process_input).
% 1.79/2.01 dependent: clear(print_kept).
% 1.79/2.01 dependent: clear(print_new_demod).
% 1.79/2.01 dependent: clear(print_back_demod).
% 1.79/2.01 dependent: clear(print_back_sub).
% 1.79/2.01 dependent: set(control_memory).
% 1.79/2.01 dependent: assign(max_mem, 12000).
% 1.79/2.01 dependent: assign(pick_given_ratio, 4).
% 1.79/2.01 dependent: assign(stats_level, 1).
% 1.79/2.01 dependent: assign(max_seconds, 10800).
% 1.79/2.01 clear(print_given).
% 1.79/2.01
% 1.79/2.01 list(usable).
% 1.79/2.01 0 [] A=A.
% 1.79/2.01 0 [] multiply(identity,X)=X.
% 1.79/2.01 0 [] multiply(inverse(X),X)=identity.
% 1.79/2.01 0 [] multiply(multiply(X,Y),Z)=multiply(X,multiply(Y,Z)).
% 1.79/2.01 0 [] multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c4,sk_c11)=sk_c10.
% 1.79/2.01 0 [] multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c4)=sk_c11.
% 1.79/2.01 0 [] multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c5,sk_c10)=sk_c9.
% 1.79/2.01 0 [] multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c5)=sk_c10.
% 1.79/2.01 0 [] multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c6)=sk_c11.
% 1.79/2.01 0 [] multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c6,sk_c10)=sk_c11.
% 1.79/2.01 0 [] multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c7,sk_c8)=sk_c10.
% 1.79/2.01 0 [] multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c7)=sk_c8.
% 1.79/2.01 0 [] multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c8,sk_c9)=sk_c10.
% 1.79/2.01 0 [] inverse(sk_c1)=sk_c11|multiply(sk_c4,sk_c11)=sk_c10.
% 1.79/2.01 0 [] inverse(sk_c1)=sk_c11|inverse(sk_c4)=sk_c11.
% 1.79/2.01 0 [] inverse(sk_c1)=sk_c11|multiply(sk_c5,sk_c10)=sk_c9.
% 1.79/2.01 0 [] inverse(sk_c1)=sk_c11|inverse(sk_c5)=sk_c10.
% 1.79/2.01 0 [] inverse(sk_c1)=sk_c11|inverse(sk_c6)=sk_c11.
% 1.79/2.01 0 [] inverse(sk_c1)=sk_c11|multiply(sk_c6,sk_c10)=sk_c11.
% 1.79/2.01 0 [] inverse(sk_c1)=sk_c11|multiply(sk_c7,sk_c8)=sk_c10.
% 1.79/2.01 0 [] inverse(sk_c1)=sk_c11|inverse(sk_c7)=sk_c8.
% 1.79/2.01 0 [] inverse(sk_c1)=sk_c11|multiply(sk_c8,sk_c9)=sk_c10.
% 1.79/2.01 0 [] multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c4,sk_c11)=sk_c10.
% 1.79/2.01 0 [] multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c4)=sk_c11.
% 1.79/2.01 0 [] multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c5,sk_c10)=sk_c9.
% 1.79/2.01 0 [] multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c5)=sk_c10.
% 1.79/2.01 0 [] multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c6)=sk_c11.
% 1.79/2.01 0 [] multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c6,sk_c10)=sk_c11.
% 1.79/2.01 0 [] multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c7,sk_c8)=sk_c10.
% 1.79/2.01 0 [] multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c7)=sk_c8.
% 1.79/2.01 0 [] multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c8,sk_c9)=sk_c10.
% 1.79/2.01 0 [] inverse(sk_c2)=sk_c10|multiply(sk_c4,sk_c11)=sk_c10.
% 1.79/2.01 0 [] inverse(sk_c2)=sk_c10|inverse(sk_c4)=sk_c11.
% 1.79/2.01 0 [] inverse(sk_c2)=sk_c10|multiply(sk_c5,sk_c10)=sk_c9.
% 1.79/2.01 0 [] inverse(sk_c2)=sk_c10|inverse(sk_c5)=sk_c10.
% 1.79/2.01 0 [] inverse(sk_c2)=sk_c10|inverse(sk_c6)=sk_c11.
% 1.79/2.01 0 [] inverse(sk_c2)=sk_c10|multiply(sk_c6,sk_c10)=sk_c11.
% 1.79/2.01 0 [] inverse(sk_c2)=sk_c10|multiply(sk_c7,sk_c8)=sk_c10.
% 1.79/2.01 0 [] inverse(sk_c2)=sk_c10|inverse(sk_c7)=sk_c8.
% 1.79/2.01 0 [] inverse(sk_c2)=sk_c10|multiply(sk_c8,sk_c9)=sk_c10.
% 1.79/2.01 0 [] inverse(sk_c3)=sk_c11|multiply(sk_c4,sk_c11)=sk_c10.
% 1.79/2.01 0 [] inverse(sk_c3)=sk_c11|inverse(sk_c4)=sk_c11.
% 1.79/2.01 0 [] inverse(sk_c3)=sk_c11|multiply(sk_c5,sk_c10)=sk_c9.
% 1.79/2.01 0 [] inverse(sk_c3)=sk_c11|inverse(sk_c5)=sk_c10.
% 1.79/2.01 0 [] inverse(sk_c3)=sk_c11|inverse(sk_c6)=sk_c11.
% 1.79/2.01 0 [] inverse(sk_c3)=sk_c11|multiply(sk_c6,sk_c10)=sk_c11.
% 1.79/2.01 0 [] inverse(sk_c3)=sk_c11|multiply(sk_c7,sk_c8)=sk_c10.
% 1.79/2.01 0 [] inverse(sk_c3)=sk_c11|inverse(sk_c7)=sk_c8.
% 1.79/2.01 0 [] inverse(sk_c3)=sk_c11|multiply(sk_c8,sk_c9)=sk_c10.
% 1.79/2.01 0 [] multiply(sk_c3,sk_c10)=sk_c11|multiply(sk_c4,sk_c11)=sk_c10.
% 1.79/2.01 0 [] multiply(sk_c3,sk_c10)=sk_c11|inverse(sk_c4)=sk_c11.
% 1.79/2.01 0 [] multiply(sk_c3,sk_c10)=sk_c11|multiply(sk_c5,sk_c10)=sk_c9.
% 1.79/2.01 0 [] multiply(sk_c3,sk_c10)=sk_c11|inverse(sk_c5)=sk_c10.
% 1.79/2.01 0 [] multiply(sk_c3,sk_c10)=sk_c11|inverse(sk_c6)=sk_c11.
% 1.79/2.01 0 [] multiply(sk_c3,sk_c10)=sk_c11|multiply(sk_c6,sk_c10)=sk_c11.
% 1.79/2.01 0 [] multiply(sk_c3,sk_c10)=sk_c11|multiply(sk_c7,sk_c8)=sk_c10.
% 1.79/2.01 0 [] multiply(sk_c3,sk_c10)=sk_c11|inverse(sk_c7)=sk_c8.
% 1.79/2.01 0 [] multiply(sk_c3,sk_c10)=sk_c11|multiply(sk_c8,sk_c9)=sk_c10.
% 1.79/2.01 0 [] multiply(X4,sk_c11)!=sk_c10|inverse(X4)!=sk_c11|multiply(X5,sk_c10)!=sk_c9|inverse(X5)!=sk_c10|inverse(X6)!=sk_c11|multiply(X6,sk_c10)!=sk_c11|multiply(X1,sk_c11)!=sk_c10|inverse(X1)!=sk_c11|multiply(X2,sk_c10)!=sk_c9|inverse(X2)!=sk_c10|inverse(X3)!=sk_c11|multiply(X3,sk_c10)!=sk_c11|multiply(X7,X8)!=sk_c10|inverse(X7)!=X8|multiply(X8,sk_c9)!=sk_c10.
% 1.79/2.01 end_of_list.
% 1.79/2.01
% 1.79/2.01 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=15.
% 1.79/2.01
% 1.79/2.01 This ia a non-Horn set with equality. The strategy will be
% 1.79/2.01 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.79/2.01 deletion, with positive clauses in sos and nonpositive
% 1.79/2.01 clauses in usable.
% 1.79/2.01
% 1.79/2.01 dependent: set(knuth_bendix).
% 1.79/2.01 dependent: set(anl_eq).
% 1.79/2.01 dependent: set(para_from).
% 1.79/2.01 dependent: set(para_into).
% 1.79/2.01 dependent: clear(para_from_right).
% 1.79/2.01 dependent: clear(para_into_right).
% 1.79/2.01 dependent: set(para_from_vars).
% 1.79/2.01 dependent: set(eq_units_both_ways).
% 1.79/2.01 dependent: set(dynamic_demod_all).
% 1.79/2.01 dependent: set(dynamic_demod).
% 1.79/2.01 dependent: set(order_eq).
% 1.79/2.01 dependent: set(back_demod).
% 1.79/2.01 dependent: set(lrpo).
% 1.79/2.01 dependent: set(hyper_res).
% 1.79/2.01 dependent: set(unit_deletion).
% 1.79/2.01 dependent: set(factor).
% 1.79/2.01
% 1.79/2.01 ------------> process usable:
% 1.79/2.01 ** KEPT (pick-wt=41): 2 [copy,1,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp] multiply(A,sk_c11)!=sk_c10|inverse(A)!=sk_c11|multiply(B,sk_c10)!=sk_c9|inverse(B)!=sk_c10|inverse(C)!=sk_c11|multiply(C,sk_c10)!=sk_c11|multiply(D,E)!=sk_c10|inverse(D)!=E|multiply(E,sk_c9)!=sk_c10.
% 1.79/2.01
% 1.79/2.01 ------------> process sos:
% 1.79/2.01 ** KEPT (pick-wt=3): 10 [] A=A.
% 1.79/2.01 ** KEPT (pick-wt=5): 11 [] multiply(identity,A)=A.
% 1.79/2.01 ---> New Demodulator: 12 [new_demod,11] multiply(identity,A)=A.
% 1.79/2.01 ** KEPT (pick-wt=6): 13 [] multiply(inverse(A),A)=identity.
% 1.79/2.01 ---> New Demodulator: 14 [new_demod,13] multiply(inverse(A),A)=identity.
% 1.79/2.01 ** KEPT (pick-wt=11): 15 [] multiply(multiply(A,B),C)=multiply(A,multiply(B,C)).
% 1.79/2.01 ---> New Demodulator: 16 [new_demod,15] multiply(multiply(A,B),C)=multiply(A,multiply(B,C)).
% 1.79/2.01 ** KEPT (pick-wt=10): 17 [] multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c4,sk_c11)=sk_c10.
% 1.79/2.01 ** KEPT (pick-wt=9): 18 [] multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c4)=sk_c11.
% 1.79/2.01 ** KEPT (pick-wt=10): 19 [] multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c5,sk_c10)=sk_c9.
% 1.79/2.01 ** KEPT (pick-wt=9): 20 [] multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c5)=sk_c10.
% 1.79/2.01 ** KEPT (pick-wt=9): 21 [] multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c6)=sk_c11.
% 1.79/2.01 ** KEPT (pick-wt=10): 22 [] multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c6,sk_c10)=sk_c11.
% 1.79/2.01 ** KEPT (pick-wt=10): 23 [] multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c7,sk_c8)=sk_c10.
% 1.79/2.01 ** KEPT (pick-wt=9): 24 [] multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c7)=sk_c8.
% 1.79/2.01 ** KEPT (pick-wt=10): 25 [] multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c8,sk_c9)=sk_c10.
% 1.79/2.01 ** KEPT (pick-wt=9): 26 [] inverse(sk_c1)=sk_c11|multiply(sk_c4,sk_c11)=sk_c10.
% 1.79/2.01 ** KEPT (pick-wt=8): 27 [] inverse(sk_c1)=sk_c11|inverse(sk_c4)=sk_c11.
% 1.79/2.01 ** KEPT (pick-wt=9): 28 [] inverse(sk_c1)=sk_c11|multiply(sk_c5,sk_c10)=sk_c9.
% 1.79/2.01 ** KEPT (pick-wt=8): 29 [] inverse(sk_c1)=sk_c11|inverse(sk_c5)=sk_c10.
% 1.79/2.01 ** KEPT (pick-wt=8): 30 [] inverse(sk_c1)=sk_c11|inverse(sk_c6)=sk_c11.
% 1.79/2.01 ** KEPT (pick-wt=9): 31 [] inverse(sk_c1)=sk_c11|multiply(sk_c6,sk_c10)=sk_c11.
% 1.79/2.01 ** KEPT (pick-wt=9): 32 [] inverse(sk_c1)=sk_c11|multiply(sk_c7,sk_c8)=sk_c10.
% 1.79/2.01 ** KEPT (pick-wt=8): 33 [] inverse(sk_c1)=sk_c11|inverse(sk_c7)=sk_c8.
% 1.79/2.01 ** KEPT (pick-wt=9): 34 [] inverse(sk_c1)=sk_c11|multiply(sk_c8,sk_c9)=sk_c10.
% 1.79/2.01 ** KEPT (pick-wt=10): 35 [] multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c4,sk_c11)=sk_c10.
% 1.79/2.01 ** KEPT (pick-wt=9): 36 [] multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c4)=sk_c11.
% 1.79/2.01 ** KEPT (pick-wt=10): 37 [] multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c5,sk_c10)=sk_c9.
% 1.79/2.01 ** KEPT (pick-wt=9): 38 [] multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c5)=sk_c10.
% 1.79/2.01 ** KEPT (pick-wt=9): 39 [] multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c6)=sk_c11.
% 1.79/2.01 ** KEPT (pick-wt=10): 40 [] multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c6,sk_c10)=sk_c11.
% 1.79/2.01 ** KEPT (pick-wt=10): 41 [] multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c7,sk_c8)=sk_c10.
% 1.79/2.01 ** KEPT (pick-wt=9): 42 [] multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c7)=sk_c8.
% 1.79/2.01 ** KEPT (pick-wt=10): 43 [] multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c8,sk_c9)=sk_c10.
% 1.79/2.01 ** KEPT (pick-wt=9): 44 [] inverse(sk_c2)=sk_c10|multiply(sk_c4,sk_c11)=sk_c10.
% 1.79/2.01 ** KEPT (pick-wt=8): 45 [] inverse(sk_c2)=sk_c10|inverse(sk_c4)=sk_c11.
% 40.55/40.79 ** KEPT (pick-wt=9): 46 [] inverse(sk_c2)=sk_c10|multiply(sk_c5,sk_c10)=sk_c9.
% 40.55/40.79 ** KEPT (pick-wt=8): 47 [] inverse(sk_c2)=sk_c10|inverse(sk_c5)=sk_c10.
% 40.55/40.79 ** KEPT (pick-wt=8): 48 [] inverse(sk_c2)=sk_c10|inverse(sk_c6)=sk_c11.
% 40.55/40.79 ** KEPT (pick-wt=9): 49 [] inverse(sk_c2)=sk_c10|multiply(sk_c6,sk_c10)=sk_c11.
% 40.55/40.79 ** KEPT (pick-wt=9): 50 [] inverse(sk_c2)=sk_c10|multiply(sk_c7,sk_c8)=sk_c10.
% 40.55/40.79 ** KEPT (pick-wt=8): 51 [] inverse(sk_c2)=sk_c10|inverse(sk_c7)=sk_c8.
% 40.55/40.79 ** KEPT (pick-wt=9): 52 [] inverse(sk_c2)=sk_c10|multiply(sk_c8,sk_c9)=sk_c10.
% 40.55/40.79 ** KEPT (pick-wt=9): 53 [] inverse(sk_c3)=sk_c11|multiply(sk_c4,sk_c11)=sk_c10.
% 40.55/40.79 ** KEPT (pick-wt=8): 54 [] inverse(sk_c3)=sk_c11|inverse(sk_c4)=sk_c11.
% 40.55/40.79 ** KEPT (pick-wt=9): 55 [] inverse(sk_c3)=sk_c11|multiply(sk_c5,sk_c10)=sk_c9.
% 40.55/40.79 ** KEPT (pick-wt=8): 56 [] inverse(sk_c3)=sk_c11|inverse(sk_c5)=sk_c10.
% 40.55/40.79 ** KEPT (pick-wt=8): 57 [] inverse(sk_c3)=sk_c11|inverse(sk_c6)=sk_c11.
% 40.55/40.79 ** KEPT (pick-wt=9): 58 [] inverse(sk_c3)=sk_c11|multiply(sk_c6,sk_c10)=sk_c11.
% 40.55/40.79 ** KEPT (pick-wt=9): 59 [] inverse(sk_c3)=sk_c11|multiply(sk_c7,sk_c8)=sk_c10.
% 40.55/40.79 ** KEPT (pick-wt=8): 60 [] inverse(sk_c3)=sk_c11|inverse(sk_c7)=sk_c8.
% 40.55/40.79 ** KEPT (pick-wt=9): 61 [] inverse(sk_c3)=sk_c11|multiply(sk_c8,sk_c9)=sk_c10.
% 40.55/40.79 ** KEPT (pick-wt=10): 62 [] multiply(sk_c3,sk_c10)=sk_c11|multiply(sk_c4,sk_c11)=sk_c10.
% 40.55/40.79 ** KEPT (pick-wt=9): 63 [] multiply(sk_c3,sk_c10)=sk_c11|inverse(sk_c4)=sk_c11.
% 40.55/40.79 ** KEPT (pick-wt=10): 64 [] multiply(sk_c3,sk_c10)=sk_c11|multiply(sk_c5,sk_c10)=sk_c9.
% 40.55/40.79 ** KEPT (pick-wt=9): 65 [] multiply(sk_c3,sk_c10)=sk_c11|inverse(sk_c5)=sk_c10.
% 40.55/40.79 ** KEPT (pick-wt=9): 66 [] multiply(sk_c3,sk_c10)=sk_c11|inverse(sk_c6)=sk_c11.
% 40.55/40.79 ** KEPT (pick-wt=10): 67 [] multiply(sk_c3,sk_c10)=sk_c11|multiply(sk_c6,sk_c10)=sk_c11.
% 40.55/40.79 ** KEPT (pick-wt=10): 68 [] multiply(sk_c3,sk_c10)=sk_c11|multiply(sk_c7,sk_c8)=sk_c10.
% 40.55/40.79 ** KEPT (pick-wt=9): 69 [] multiply(sk_c3,sk_c10)=sk_c11|inverse(sk_c7)=sk_c8.
% 40.55/40.79 ** KEPT (pick-wt=10): 70 [] multiply(sk_c3,sk_c10)=sk_c11|multiply(sk_c8,sk_c9)=sk_c10.
% 40.55/40.79 Following clause subsumed by 10 during input processing: 0 [copy,10,flip.1] A=A.
% 40.55/40.79 >>>> Starting back demodulation with 12.
% 40.55/40.79 >>>> Starting back demodulation with 14.
% 40.55/40.79 >>>> Starting back demodulation with 16.
% 40.55/40.79
% 40.55/40.79 ======= end of input processing =======
% 40.55/40.79
% 40.55/40.79 =========== start of search ===========
% 40.55/40.79
% 40.55/40.79
% 40.55/40.79 Resetting weight limit to 9.
% 40.55/40.79
% 40.55/40.79
% 40.55/40.79 Resetting weight limit to 9.
% 40.55/40.79
% 40.55/40.79 sos_size=1015
% 40.55/40.79
% 40.55/40.79
% 40.55/40.79 Resetting weight limit to 7.
% 40.55/40.79
% 40.55/40.79
% 40.55/40.79 Resetting weight limit to 7.
% 40.55/40.79
% 40.55/40.79 sos_size=85
% 40.55/40.79
% 40.55/40.79 -- HEY sandbox, WE HAVE A PROOF!! --
% 40.55/40.79
% 40.55/40.79 -----> EMPTY CLAUSE at 38.79 sec ----> 4071 [back_demod,4063,demod,4070,802,4070,unit_del,10,10] $F.
% 40.55/40.79
% 40.55/40.79 Length of proof is 52. Level of proof is 17.
% 40.55/40.79
% 40.55/40.79 ---------------- PROOF ----------------
% 40.55/40.79 % SZS status Unsatisfiable
% 40.55/40.79 % SZS output start Refutation
% See solution above
% 40.55/40.79 ------------ end of proof -------------
% 40.55/40.79
% 40.55/40.79
% 40.55/40.79 Search stopped by max_proofs option.
% 40.55/40.79
% 40.55/40.79
% 40.55/40.79 Search stopped by max_proofs option.
% 40.55/40.79
% 40.55/40.79 ============ end of search ============
% 40.55/40.79
% 40.55/40.79 -------------- statistics -------------
% 40.55/40.79 clauses given 152
% 40.55/40.79 clauses generated 66376
% 40.55/40.79 clauses kept 4040
% 40.55/40.79 clauses forward subsumed 63126
% 40.55/40.79 clauses back subsumed 663
% 40.55/40.79 Kbytes malloced 4882
% 40.55/40.79
% 40.55/40.79 ----------- times (seconds) -----------
% 40.55/40.79 user CPU time 38.79 (0 hr, 0 min, 38 sec)
% 40.55/40.79 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 40.55/40.79 wall-clock time 40 (0 hr, 0 min, 40 sec)
% 40.55/40.79
% 40.55/40.79 That finishes the proof of the theorem.
% 40.55/40.79
% 40.55/40.79 Process 8905 finished Wed Jul 27 05:13:35 2022
% 40.55/40.79 Otter interrupted
% 40.55/40.79 PROOF FOUND
%------------------------------------------------------------------------------