TSTP Solution File: GRP767-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP767-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 11:49:20 EDT 2022
% Result : Unsatisfiable 144.60s 144.82s
% Output : Refutation 147.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 19
% Syntax : Number of clauses : 217 ( 217 unt; 0 nHn; 217 RR)
% Number of literals : 217 ( 0 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(product(u,one),u),
file('GRP767-1.p',unknown),
[] ).
cnf(2,axiom,
equal(product(one,u),u),
file('GRP767-1.p',unknown),
[] ).
cnf(3,axiom,
equal(product(u,difference(u,v)),v),
file('GRP767-1.p',unknown),
[] ).
cnf(4,axiom,
equal(difference(u,product(u,v)),v),
file('GRP767-1.p',unknown),
[] ).
cnf(5,axiom,
equal(quotient(product(u,v),v),u),
file('GRP767-1.p',unknown),
[] ).
cnf(6,axiom,
equal(product(quotient(u,v),v),u),
file('GRP767-1.p',unknown),
[] ).
cnf(7,axiom,
equal(difference(u,product(product(u,v),w)),quotient(product(v,product(w,u)),u)),
file('GRP767-1.p',unknown),
[] ).
cnf(8,axiom,
equal(difference(product(u,v),product(u,product(v,w))),quotient(quotient(product(w,product(u,v)),v),u)),
file('GRP767-1.p',unknown),
[] ).
cnf(9,axiom,
equal(difference(u,one),i(u)),
file('GRP767-1.p',unknown),
[] ).
cnf(10,axiom,
equal(quotient(one,u),j(u)),
file('GRP767-1.p',unknown),
[] ).
cnf(11,axiom,
equal(product(i(u),u),product(u,j(u))),
file('GRP767-1.p',unknown),
[] ).
cnf(12,axiom,
equal(product(i(u),u),eta(u)),
file('GRP767-1.p',unknown),
[] ).
cnf(13,axiom,
equal(product(eta(u),product(u,v)),product(i(i(u)),v)),
file('GRP767-1.p',unknown),
[] ).
cnf(14,axiom,
equal(product(u,product(eta(u),v)),product(j(j(u)),v)),
file('GRP767-1.p',unknown),
[] ).
cnf(15,axiom,
equal(product(product(u,v),eta(u)),product(u,product(v,eta(u)))),
file('GRP767-1.p',unknown),
[] ).
cnf(16,axiom,
equal(product(product(eta(u),v),w),product(eta(u),product(v,w))),
file('GRP767-1.p',unknown),
[] ).
cnf(17,axiom,
equal(difference(product(u,v),product(u,product(v,w))),l(u,v,w)),
file('GRP767-1.p',unknown),
[] ).
cnf(19,axiom,
equal(quotient(product(u,v),u),t(u,v)),
file('GRP767-1.p',unknown),
[] ).
cnf(21,axiom,
~ equal(product(j(j(x0__dfg)),j(product(x1__dfg,x0__dfg))),j(x1__dfg)),
file('GRP767-1.p',unknown),
[] ).
cnf(22,plain,
equal(product(u,j(u)),eta(u)),
inference(rew,[status(thm),theory(equality)],[12,11]),
[iquote('0:Rew:12.0,11.0')] ).
cnf(23,plain,
equal(quotient(quotient(product(u,product(v,w)),w),v),l(v,w,u)),
inference(rew,[status(thm),theory(equality)],[17,8]),
[iquote('0:Rew:17.0,8.0')] ).
cnf(40,plain,
equal(product(j(u),u),one),
inference(spr,[status(thm),theory(equality)],[10,6]),
[iquote('0:SpR:10.0,6.0')] ).
cnf(43,plain,
equal(quotient(u,u),one),
inference(spr,[status(thm),theory(equality)],[2,5]),
[iquote('0:SpR:2.0,5.0')] ).
cnf(44,plain,
equal(quotient(eta(u),u),i(u)),
inference(spr,[status(thm),theory(equality)],[12,5]),
[iquote('0:SpR:12.0,5.0')] ).
cnf(63,plain,
equal(difference(one,u),u),
inference(spr,[status(thm),theory(equality)],[2,4]),
[iquote('0:SpR:2.0,4.0')] ).
cnf(64,plain,
equal(difference(i(u),eta(u)),u),
inference(spr,[status(thm),theory(equality)],[12,4]),
[iquote('0:SpR:12.0,4.0')] ).
cnf(65,plain,
equal(difference(u,u),one),
inference(spr,[status(thm),theory(equality)],[1,4]),
[iquote('0:SpR:1.0,4.0')] ).
cnf(67,plain,
equal(difference(quotient(u,v),u),v),
inference(spr,[status(thm),theory(equality)],[6,4]),
[iquote('0:SpR:6.0,4.0')] ).
cnf(81,plain,
equal(difference(j(u),one),u),
inference(spr,[status(thm),theory(equality)],[40,4]),
[iquote('0:SpR:40.0,4.0')] ).
cnf(83,plain,
equal(i(j(u)),u),
inference(rew,[status(thm),theory(equality)],[9,81]),
[iquote('0:Rew:9.0,81.0')] ).
cnf(85,plain,
equal(quotient(u,difference(v,u)),v),
inference(spr,[status(thm),theory(equality)],[3,5]),
[iquote('0:SpR:3.0,5.0')] ).
cnf(88,plain,
equal(product(u,i(u)),one),
inference(spr,[status(thm),theory(equality)],[9,3]),
[iquote('0:SpR:9.0,3.0')] ).
cnf(92,plain,
equal(product(u,j(u)),eta(j(u))),
inference(spr,[status(thm),theory(equality)],[83,12]),
[iquote('0:SpR:83.0,12.0')] ).
cnf(95,plain,
equal(eta(j(u)),eta(u)),
inference(rew,[status(thm),theory(equality)],[22,92]),
[iquote('0:Rew:22.0,92.0')] ).
cnf(97,plain,
equal(quotient(one,i(u)),u),
inference(spr,[status(thm),theory(equality)],[88,5]),
[iquote('0:SpR:88.0,5.0')] ).
cnf(102,plain,
equal(j(i(u)),u),
inference(rew,[status(thm),theory(equality)],[10,97]),
[iquote('0:Rew:10.0,97.0')] ).
cnf(103,plain,
equal(product(i(u),u),eta(i(u))),
inference(spr,[status(thm),theory(equality)],[102,22]),
[iquote('0:SpR:102.0,22.0')] ).
cnf(109,plain,
equal(eta(i(u)),eta(u)),
inference(rew,[status(thm),theory(equality)],[12,103]),
[iquote('0:Rew:12.0,103.0')] ).
cnf(119,plain,
equal(quotient(one,j(u)),t(j(u),u)),
inference(spr,[status(thm),theory(equality)],[40,19]),
[iquote('0:SpR:40.0,19.0')] ).
cnf(120,plain,
equal(quotient(u,u),t(u,one)),
inference(spr,[status(thm),theory(equality)],[1,19]),
[iquote('0:SpR:1.0,19.0')] ).
cnf(123,plain,
equal(t(u,i(u)),quotient(one,u)),
inference(spr,[status(thm),theory(equality)],[88,19]),
[iquote('0:SpR:88.0,19.0')] ).
cnf(127,plain,
equal(t(u,one),one),
inference(rew,[status(thm),theory(equality)],[43,120]),
[iquote('0:Rew:43.0,120.0')] ).
cnf(128,plain,
equal(t(u,i(u)),j(u)),
inference(rew,[status(thm),theory(equality)],[10,123]),
[iquote('0:Rew:10.0,123.0')] ).
cnf(129,plain,
equal(t(j(u),u),j(j(u))),
inference(rew,[status(thm),theory(equality)],[10,119]),
[iquote('0:Rew:10.0,119.0')] ).
cnf(183,plain,
equal(difference(eta(u),product(i(i(u)),v)),product(u,v)),
inference(spr,[status(thm),theory(equality)],[13,4]),
[iquote('0:SpR:13.0,4.0')] ).
cnf(184,plain,
equal(quotient(product(i(i(u)),v),eta(u)),t(eta(u),product(u,v))),
inference(spr,[status(thm),theory(equality)],[13,19]),
[iquote('0:SpR:13.0,19.0')] ).
cnf(190,plain,
equal(product(eta(u),u),product(i(i(u)),one)),
inference(spr,[status(thm),theory(equality)],[1,13]),
[iquote('0:SpR:1.0,13.0')] ).
cnf(194,plain,
equal(product(eta(quotient(u,v)),u),product(i(i(quotient(u,v))),v)),
inference(spr,[status(thm),theory(equality)],[6,13]),
[iquote('0:SpR:6.0,13.0')] ).
cnf(199,plain,
equal(product(eta(u),u),i(i(u))),
inference(rew,[status(thm),theory(equality)],[1,190]),
[iquote('0:Rew:1.0,190.0')] ).
cnf(221,plain,
equal(difference(t(u,v),product(u,v)),u),
inference(spr,[status(thm),theory(equality)],[19,67]),
[iquote('0:SpR:19.0,67.0')] ).
cnf(252,plain,
equal(product(u,eta(u)),product(j(j(u)),one)),
inference(spr,[status(thm),theory(equality)],[1,14]),
[iquote('0:SpR:1.0,14.0')] ).
cnf(255,plain,
equal(product(j(j(u)),i(eta(u))),product(u,one)),
inference(spr,[status(thm),theory(equality)],[88,14]),
[iquote('0:SpR:88.0,14.0')] ).
cnf(258,plain,
equal(product(u,eta(u)),j(j(u))),
inference(rew,[status(thm),theory(equality)],[1,252]),
[iquote('0:Rew:1.0,252.0')] ).
cnf(260,plain,
equal(product(j(j(u)),i(eta(u))),u),
inference(rew,[status(thm),theory(equality)],[1,255]),
[iquote('0:Rew:1.0,255.0')] ).
cnf(282,plain,
equal(product(eta(u),j(u)),i(i(j(u)))),
inference(spr,[status(thm),theory(equality)],[95,199]),
[iquote('0:SpR:95.0,199.0')] ).
cnf(283,plain,
equal(product(eta(u),i(u)),i(i(i(u)))),
inference(spr,[status(thm),theory(equality)],[109,199]),
[iquote('0:SpR:109.0,199.0')] ).
cnf(286,plain,
equal(product(eta(u),j(u)),i(u)),
inference(rew,[status(thm),theory(equality)],[83,282]),
[iquote('0:Rew:83.0,282.0')] ).
cnf(290,plain,
equal(quotient(j(j(u)),u),t(u,eta(u))),
inference(spr,[status(thm),theory(equality)],[258,19]),
[iquote('0:SpR:258.0,19.0')] ).
cnf(291,plain,
equal(product(i(i(u)),eta(u)),product(eta(u),j(j(u)))),
inference(spr,[status(thm),theory(equality)],[258,13]),
[iquote('0:SpR:258.0,13.0')] ).
cnf(296,plain,
equal(product(i(u),eta(u)),j(j(i(u)))),
inference(spr,[status(thm),theory(equality)],[109,258]),
[iquote('0:SpR:109.0,258.0')] ).
cnf(299,plain,
equal(product(i(u),eta(u)),j(u)),
inference(rew,[status(thm),theory(equality)],[102,296]),
[iquote('0:Rew:102.0,296.0')] ).
cnf(362,plain,
equal(product(eta(u),j(j(u))),i(j(u))),
inference(spr,[status(thm),theory(equality)],[95,286]),
[iquote('0:SpR:95.0,286.0')] ).
cnf(367,plain,
equal(product(eta(u),j(j(u))),u),
inference(rew,[status(thm),theory(equality)],[83,362]),
[iquote('0:Rew:83.0,362.0')] ).
cnf(368,plain,
equal(product(i(i(u)),eta(u)),u),
inference(rew,[status(thm),theory(equality)],[367,291]),
[iquote('0:Rew:367.0,291.0')] ).
cnf(384,plain,
equal(product(eta(u),product(v,j(product(eta(u),v)))),eta(product(eta(u),v))),
inference(spr,[status(thm),theory(equality)],[16,22]),
[iquote('0:SpR:16.0,22.0')] ).
cnf(385,plain,
equal(quotient(product(eta(u),product(v,w)),w),product(eta(u),v)),
inference(spr,[status(thm),theory(equality)],[16,5]),
[iquote('0:SpR:16.0,5.0')] ).
cnf(431,plain,
equal(quotient(j(u),i(u)),t(i(u),eta(u))),
inference(spr,[status(thm),theory(equality)],[299,19]),
[iquote('0:SpR:299.0,19.0')] ).
cnf(446,plain,
equal(product(l(u,v,w),u),quotient(product(w,product(u,v)),v)),
inference(spr,[status(thm),theory(equality)],[23,6]),
[iquote('0:SpR:23.0,6.0')] ).
cnf(467,plain,
equal(quotient(quotient(eta(product(u,v)),v),u),l(u,v,i(product(u,v)))),
inference(spr,[status(thm),theory(equality)],[12,23]),
[iquote('0:SpR:12.0,23.0')] ).
cnf(474,plain,
equal(quotient(t(u,product(v,u)),v),l(v,u,u)),
inference(spr,[status(thm),theory(equality)],[19,23]),
[iquote('0:SpR:19.0,23.0')] ).
cnf(520,plain,
equal(product(product(u,v),l(u,v,w)),product(u,product(v,w))),
inference(spr,[status(thm),theory(equality)],[17,3]),
[iquote('0:SpR:17.0,3.0')] ).
cnf(529,plain,
equal(difference(product(u,v),product(u,w)),l(u,v,difference(v,w))),
inference(spr,[status(thm),theory(equality)],[3,17]),
[iquote('0:SpR:3.0,17.0')] ).
cnf(548,plain,
equal(difference(eta(u),product(i(u),product(u,v))),l(i(u),u,v)),
inference(spr,[status(thm),theory(equality)],[12,17]),
[iquote('0:SpR:12.0,17.0')] ).
cnf(549,plain,
equal(difference(one,product(j(u),product(u,v))),l(j(u),u,v)),
inference(spr,[status(thm),theory(equality)],[40,17]),
[iquote('0:SpR:40.0,17.0')] ).
cnf(570,plain,
equal(product(j(u),product(u,v)),l(j(u),u,v)),
inference(rew,[status(thm),theory(equality)],[63,549]),
[iquote('0:Rew:63.0,549.0')] ).
cnf(659,plain,
equal(product(u,quotient(product(v,product(w,u)),u)),product(product(u,v),w)),
inference(spr,[status(thm),theory(equality)],[7,3]),
[iquote('0:SpR:7.0,3.0')] ).
cnf(663,plain,
equal(quotient(product(u,product(v,i(u))),i(u)),difference(i(u),product(eta(u),v))),
inference(spr,[status(thm),theory(equality)],[12,7]),
[iquote('0:SpR:12.0,7.0')] ).
cnf(667,plain,
equal(quotient(product(j(u),product(v,u)),u),difference(u,product(eta(u),v))),
inference(spr,[status(thm),theory(equality)],[22,7]),
[iquote('0:SpR:22.0,7.0')] ).
cnf(674,plain,
equal(quotient(product(j(u),product(v,eta(u))),eta(u)),difference(eta(u),product(i(u),v))),
inference(spr,[status(thm),theory(equality)],[286,7]),
[iquote('0:SpR:286.0,7.0')] ).
cnf(682,plain,
equal(quotient(product(u,product(difference(product(v,u),w),v)),v),difference(v,w)),
inference(spr,[status(thm),theory(equality)],[3,7]),
[iquote('0:SpR:3.0,7.0')] ).
cnf(687,plain,
equal(difference(eta(u),product(eta(u),product(v,w))),quotient(product(v,product(w,eta(u))),eta(u))),
inference(spr,[status(thm),theory(equality)],[16,7]),
[iquote('0:SpR:16.0,7.0')] ).
cnf(700,plain,
equal(quotient(product(u,product(v,eta(w))),eta(w)),product(u,v)),
inference(rew,[status(thm),theory(equality)],[4,687]),
[iquote('0:Rew:4.0,687.0')] ).
cnf(702,plain,
equal(difference(eta(u),product(i(u),v)),product(j(u),v)),
inference(rew,[status(thm),theory(equality)],[700,674]),
[iquote('0:Rew:700.0,674.0')] ).
cnf(704,plain,
equal(product(j(u),product(u,v)),l(i(u),u,v)),
inference(rew,[status(thm),theory(equality)],[702,548]),
[iquote('0:Rew:702.0,548.0')] ).
cnf(705,plain,
equal(l(j(u),u,v),l(i(u),u,v)),
inference(rew,[status(thm),theory(equality)],[570,704]),
[iquote('0:Rew:570.0,704.0')] ).
cnf(930,plain,
equal(product(i(i(j(j(u)))),i(eta(u))),product(eta(j(j(u))),u)),
inference(spr,[status(thm),theory(equality)],[260,13]),
[iquote('0:SpR:260.0,13.0')] ).
cnf(947,plain,
equal(product(u,i(eta(u))),i(i(u))),
inference(rew,[status(thm),theory(equality)],[83,930,199,95]),
[iquote('0:Rew:83.0,930.0,83.0,930.0,199.0,930.0,95.0,930.0,95.0,930.0')] ).
cnf(1044,plain,
equal(product(u,product(i(eta(u)),eta(u))),product(i(i(u)),eta(u))),
inference(spr,[status(thm),theory(equality)],[947,15]),
[iquote('0:SpR:947.0,15.0')] ).
cnf(1061,plain,
equal(product(u,eta(eta(u))),u),
inference(rew,[status(thm),theory(equality)],[12,1044,368]),
[iquote('0:Rew:12.0,1044.0,368.0,1044.0')] ).
cnf(1068,plain,
equal(difference(u,u),eta(eta(u))),
inference(spr,[status(thm),theory(equality)],[1061,4]),
[iquote('0:SpR:1061.0,4.0')] ).
cnf(1086,plain,
equal(eta(eta(u)),one),
inference(rew,[status(thm),theory(equality)],[65,1068]),
[iquote('0:Rew:65.0,1068.0')] ).
cnf(1138,plain,
equal(quotient(one,eta(u)),i(eta(u))),
inference(spr,[status(thm),theory(equality)],[1086,44]),
[iquote('0:SpR:1086.0,44.0')] ).
cnf(1140,plain,
equal(difference(i(eta(u)),one),eta(u)),
inference(spr,[status(thm),theory(equality)],[1086,64]),
[iquote('0:SpR:1086.0,64.0')] ).
cnf(1177,plain,
equal(j(eta(u)),i(eta(u))),
inference(rew,[status(thm),theory(equality)],[10,1138]),
[iquote('0:Rew:10.0,1138.0')] ).
cnf(1189,plain,
equal(i(i(eta(u))),eta(u)),
inference(rew,[status(thm),theory(equality)],[9,1140]),
[iquote('0:Rew:9.0,1140.0')] ).
cnf(1752,plain,
equal(product(j(j(u)),i(u)),product(u,i(i(i(u))))),
inference(spr,[status(thm),theory(equality)],[283,14]),
[iquote('0:SpR:283.0,14.0')] ).
cnf(2181,plain,
equal(product(u,i(i(i(u)))),difference(eta(u),one)),
inference(spr,[status(thm),theory(equality)],[88,183]),
[iquote('0:SpR:88.0,183.0')] ).
cnf(2198,plain,
equal(product(u,i(i(i(u)))),i(eta(u))),
inference(rew,[status(thm),theory(equality)],[9,2181]),
[iquote('0:Rew:9.0,2181.0')] ).
cnf(2199,plain,
equal(product(j(j(u)),i(u)),i(eta(u))),
inference(rew,[status(thm),theory(equality)],[2198,1752]),
[iquote('0:Rew:2198.0,1752.0')] ).
cnf(2516,plain,
equal(product(j(u),i(i(u))),i(eta(j(u)))),
inference(spr,[status(thm),theory(equality)],[83,2198]),
[iquote('0:SpR:83.0,2198.0')] ).
cnf(2524,plain,
equal(product(j(u),i(i(u))),i(eta(u))),
inference(rew,[status(thm),theory(equality)],[95,2516]),
[iquote('0:Rew:95.0,2516.0')] ).
cnf(2897,plain,
equal(quotient(product(i(i(u)),product(v,j(u))),j(u)),difference(j(u),product(i(eta(u)),v))),
inference(spr,[status(thm),theory(equality)],[2524,7]),
[iquote('0:SpR:2524.0,7.0')] ).
cnf(3602,plain,
equal(quotient(t(u,one),j(u)),l(j(u),u,u)),
inference(spr,[status(thm),theory(equality)],[40,474]),
[iquote('0:SpR:40.0,474.0')] ).
cnf(3643,plain,
equal(l(i(u),u,u),j(j(u))),
inference(rew,[status(thm),theory(equality)],[10,3602,127,705]),
[iquote('0:Rew:10.0,3602.0,127.0,3602.0,705.0,3602.0')] ).
cnf(3973,plain,
equal(quotient(product(eta(u),one),v),product(eta(u),j(v))),
inference(spr,[status(thm),theory(equality)],[40,385]),
[iquote('0:SpR:40.0,385.0')] ).
cnf(3980,plain,
equal(quotient(product(eta(u),one),i(v)),product(eta(u),v)),
inference(spr,[status(thm),theory(equality)],[88,385]),
[iquote('0:SpR:88.0,385.0')] ).
cnf(3985,plain,
equal(product(eta(u),quotient(v,w)),quotient(product(eta(u),v),w)),
inference(spr,[status(thm),theory(equality)],[6,385]),
[iquote('0:SpR:6.0,385.0')] ).
cnf(4028,plain,
equal(product(eta(u),j(v)),quotient(eta(u),v)),
inference(rew,[status(thm),theory(equality)],[1,3973]),
[iquote('0:Rew:1.0,3973.0')] ).
cnf(4035,plain,
equal(quotient(eta(u),i(v)),product(eta(u),v)),
inference(rew,[status(thm),theory(equality)],[1,3980]),
[iquote('0:Rew:1.0,3980.0')] ).
cnf(4102,plain,
equal(difference(eta(u),quotient(eta(u),v)),j(v)),
inference(spr,[status(thm),theory(equality)],[4028,4]),
[iquote('0:SpR:4028.0,4.0')] ).
cnf(4110,plain,
equal(product(u,quotient(eta(u),v)),product(j(j(u)),j(v))),
inference(spr,[status(thm),theory(equality)],[4028,14]),
[iquote('0:SpR:4028.0,14.0')] ).
cnf(4137,plain,
~ equal(product(x0__dfg,quotient(eta(x0__dfg),product(x1__dfg,x0__dfg))),j(x1__dfg)),
inference(rew,[status(thm),theory(equality)],[4110,21]),
[iquote('0:Rew:4110.0,21.0')] ).
cnf(4783,plain,
equal(quotient(product(u,one),eta(v)),product(u,j(eta(v)))),
inference(spr,[status(thm),theory(equality)],[40,700]),
[iquote('0:SpR:40.0,700.0')] ).
cnf(4786,plain,
equal(quotient(product(u,j(j(v))),eta(v)),product(u,v)),
inference(spr,[status(thm),theory(equality)],[258,700]),
[iquote('0:SpR:258.0,700.0')] ).
cnf(4787,plain,
equal(product(u,quotient(v,eta(w))),quotient(product(u,v),eta(w))),
inference(spr,[status(thm),theory(equality)],[6,700]),
[iquote('0:SpR:6.0,700.0')] ).
cnf(4790,plain,
equal(quotient(product(u,j(v)),eta(v)),product(u,i(v))),
inference(spr,[status(thm),theory(equality)],[299,700]),
[iquote('0:SpR:299.0,700.0')] ).
cnf(4798,plain,
equal(product(j(product(u,eta(v))),u),quotient(one,eta(v))),
inference(spr,[status(thm),theory(equality)],[40,700]),
[iquote('0:SpR:40.0,700.0')] ).
cnf(4819,plain,
equal(product(u,i(eta(v))),quotient(u,eta(v))),
inference(rew,[status(thm),theory(equality)],[1,4783,1177]),
[iquote('0:Rew:1.0,4783.0,1177.0,4783.0')] ).
cnf(4846,plain,
equal(product(j(product(u,eta(v))),u),i(eta(v))),
inference(rew,[status(thm),theory(equality)],[1177,4798,10]),
[iquote('0:Rew:1177.0,4798.0,10.0,4798.0')] ).
cnf(4898,plain,
equal(quotient(quotient(u,eta(v)),i(eta(v))),u),
inference(spr,[status(thm),theory(equality)],[4819,5]),
[iquote('0:SpR:4819.0,5.0')] ).
cnf(4899,plain,
equal(difference(u,quotient(u,eta(v))),i(eta(v))),
inference(spr,[status(thm),theory(equality)],[4819,4]),
[iquote('0:SpR:4819.0,4.0')] ).
cnf(4922,plain,
equal(quotient(quotient(product(u,quotient(v,eta(w))),i(eta(w))),v),l(v,i(eta(w)),u)),
inference(spr,[status(thm),theory(equality)],[4819,23]),
[iquote('0:SpR:4819.0,23.0')] ).
cnf(4925,plain,
equal(quotient(product(u,product(i(eta(v)),w)),w),difference(w,quotient(product(w,u),eta(v)))),
inference(spr,[status(thm),theory(equality)],[4819,7]),
[iquote('0:SpR:4819.0,7.0')] ).
cnf(4975,plain,
equal(quotient(product(u,v),v),l(v,i(eta(w)),u)),
inference(rew,[status(thm),theory(equality)],[4898,4922,4787]),
[iquote('0:Rew:4898.0,4922.0,4787.0,4922.0')] ).
cnf(4976,plain,
equal(l(u,i(eta(v)),w),w),
inference(rew,[status(thm),theory(equality)],[5,4975]),
[iquote('0:Rew:5.0,4975.0')] ).
cnf(5022,plain,
equal(quotient(u,i(eta(v))),product(u,eta(v))),
inference(spr,[status(thm),theory(equality)],[5,4898]),
[iquote('0:SpR:5.0,4898.0')] ).
cnf(5318,plain,
equal(product(quotient(product(u,product(i(eta(v)),w)),w),eta(v)),l(i(eta(v)),w,u)),
inference(spr,[status(thm),theory(equality)],[5022,23]),
[iquote('0:SpR:5022.0,23.0')] ).
cnf(5350,plain,
equal(product(difference(u,quotient(product(u,v),eta(w))),eta(w)),l(i(eta(w)),u,v)),
inference(rew,[status(thm),theory(equality)],[4925,5318]),
[iquote('0:Rew:4925.0,5318.0')] ).
cnf(5877,plain,
equal(product(i(i(t(i(u),eta(u)))),i(u)),product(eta(t(i(u),eta(u))),j(u))),
inference(spr,[status(thm),theory(equality)],[431,194]),
[iquote('0:SpR:431.0,194.0')] ).
cnf(5898,plain,
equal(product(i(i(t(i(u),eta(u)))),i(u)),quotient(eta(t(i(u),eta(u))),u)),
inference(rew,[status(thm),theory(equality)],[4028,5877]),
[iquote('0:Rew:4028.0,5877.0')] ).
cnf(6022,plain,
equal(quotient(product(u,product(i(u),u)),u),product(j(j(u)),i(u))),
inference(spr,[status(thm),theory(equality)],[3643,446]),
[iquote('0:SpR:3643.0,446.0')] ).
cnf(6077,plain,
equal(t(u,eta(u)),i(eta(u))),
inference(rew,[status(thm),theory(equality)],[290,6022,258,12,2199]),
[iquote('0:Rew:290.0,6022.0,258.0,6022.0,12.0,6022.0,2199.0,6022.0')] ).
cnf(6154,plain,
equal(t(i(u),eta(u)),i(eta(u))),
inference(spr,[status(thm),theory(equality)],[109,6077]),
[iquote('0:SpR:109.0,6077.0')] ).
cnf(6166,plain,
equal(product(i(i(i(eta(u)))),i(u)),quotient(eta(i(eta(u))),u)),
inference(rew,[status(thm),theory(equality)],[6154,5898]),
[iquote('0:Rew:6154.0,5898.0')] ).
cnf(6176,plain,
equal(product(i(eta(u)),i(u)),j(u)),
inference(rew,[status(thm),theory(equality)],[1189,6166,10,1086,109]),
[iquote('0:Rew:1189.0,6166.0,10.0,6166.0,1086.0,6166.0,109.0,6166.0')] ).
cnf(6957,plain,
equal(product(product(u,i(eta(v))),w),product(u,product(i(eta(v)),w))),
inference(spr,[status(thm),theory(equality)],[4976,520]),
[iquote('0:SpR:4976.0,520.0')] ).
cnf(7022,plain,
equal(product(u,product(i(eta(v)),w)),product(quotient(u,eta(v)),w)),
inference(rew,[status(thm),theory(equality)],[4819,6957]),
[iquote('0:Rew:4819.0,6957.0')] ).
cnf(7023,plain,
equal(difference(u,quotient(product(u,v),eta(w))),quotient(product(quotient(v,eta(w)),u),u)),
inference(rew,[status(thm),theory(equality)],[7022,4925]),
[iquote('0:Rew:7022.0,4925.0')] ).
cnf(7037,plain,
equal(difference(u,quotient(product(u,v),eta(w))),quotient(v,eta(w))),
inference(rew,[status(thm),theory(equality)],[5,7023]),
[iquote('0:Rew:5.0,7023.0')] ).
cnf(7038,plain,
equal(product(quotient(u,eta(v)),eta(v)),l(i(eta(v)),w,u)),
inference(rew,[status(thm),theory(equality)],[7037,5350]),
[iquote('0:Rew:7037.0,5350.0')] ).
cnf(7040,plain,
equal(l(i(eta(u)),v,w),w),
inference(rew,[status(thm),theory(equality)],[6,7038]),
[iquote('0:Rew:6.0,7038.0')] ).
cnf(7881,plain,
equal(l(i(eta(u)),i(u),difference(i(u),v)),difference(j(u),product(i(eta(u)),v))),
inference(spr,[status(thm),theory(equality)],[6176,529]),
[iquote('0:SpR:6176.0,529.0')] ).
cnf(8020,plain,
equal(difference(j(u),product(i(eta(u)),v)),difference(i(u),v)),
inference(rew,[status(thm),theory(equality)],[7040,7881]),
[iquote('0:Rew:7040.0,7881.0')] ).
cnf(8021,plain,
equal(quotient(product(i(i(u)),product(v,j(u))),j(u)),difference(i(u),v)),
inference(rew,[status(thm),theory(equality)],[8020,2897]),
[iquote('0:Rew:8020.0,2897.0')] ).
cnf(9268,plain,
equal(difference(eta(u),product(eta(eta(u)),v)),product(j(eta(u)),v)),
inference(spr,[status(thm),theory(equality)],[667,700]),
[iquote('0:SpR:667.0,700.0')] ).
cnf(9287,plain,
equal(quotient(product(j(i(eta(u))),quotient(v,eta(u))),i(eta(u))),difference(i(eta(u)),product(eta(i(eta(u))),v))),
inference(spr,[status(thm),theory(equality)],[4819,667]),
[iquote('0:SpR:4819.0,667.0')] ).
cnf(9332,plain,
equal(product(i(eta(u)),v),difference(eta(u),v)),
inference(rew,[status(thm),theory(equality)],[2,9268,1086,1177]),
[iquote('0:Rew:2.0,9268.0,1086.0,9268.0,1177.0,9268.0')] ).
cnf(9341,plain,
equal(product(quotient(u,eta(v)),w),product(u,difference(eta(v),w))),
inference(rew,[status(thm),theory(equality)],[9332,7022]),
[iquote('0:Rew:9332.0,7022.0')] ).
cnf(9443,plain,
equal(difference(i(eta(u)),v),product(eta(u),v)),
inference(rew,[status(thm),theory(equality)],[6,9287,16,5022,102,2,1086,109]),
[iquote('0:Rew:6.0,9287.0,16.0,9287.0,5022.0,9287.0,102.0,9287.0,2.0,9287.0,1086.0,9287.0,109.0,9287.0')] ).
cnf(9749,plain,
equal(product(product(u,j(product(v,u))),v),product(u,quotient(one,u))),
inference(spr,[status(thm),theory(equality)],[40,659]),
[iquote('0:SpR:40.0,659.0')] ).
cnf(9782,plain,
equal(product(product(u,j(product(v,u))),v),eta(u)),
inference(rew,[status(thm),theory(equality)],[22,9749,10]),
[iquote('0:Rew:22.0,9749.0,10.0,9749.0')] ).
cnf(10434,plain,
equal(quotient(product(i(i(u)),product(difference(i(eta(u)),v),j(u))),j(u)),difference(j(u),v)),
inference(spr,[status(thm),theory(equality)],[2524,682]),
[iquote('0:SpR:2524.0,682.0')] ).
cnf(10467,plain,
equal(quotient(product(u,product(i(eta(v)),w)),w),difference(w,quotient(product(w,u),eta(v)))),
inference(spr,[status(thm),theory(equality)],[4899,682]),
[iquote('0:SpR:4899.0,682.0')] ).
cnf(10512,plain,
equal(quotient(product(u,difference(eta(v),w)),w),quotient(u,eta(v))),
inference(rew,[status(thm),theory(equality)],[9332,10467,7037]),
[iquote('0:Rew:9332.0,10467.0,7037.0,10467.0')] ).
cnf(10538,plain,
equal(difference(i(u),product(eta(u),v)),difference(j(u),v)),
inference(rew,[status(thm),theory(equality)],[8021,10434,9443]),
[iquote('0:Rew:8021.0,10434.0,9443.0,10434.0')] ).
cnf(10541,plain,
equal(quotient(product(u,product(v,i(u))),i(u)),difference(j(u),v)),
inference(rew,[status(thm),theory(equality)],[10538,663]),
[iquote('0:Rew:10538.0,663.0')] ).
cnf(10916,plain,
equal(quotient(product(u,difference(eta(v),i(u))),i(u)),difference(j(u),i(eta(v)))),
inference(spr,[status(thm),theory(equality)],[9332,10541]),
[iquote('0:SpR:9332.0,10541.0')] ).
cnf(10950,plain,
equal(difference(j(u),i(eta(v))),quotient(u,eta(v))),
inference(rew,[status(thm),theory(equality)],[10512,10916]),
[iquote('0:Rew:10512.0,10916.0')] ).
cnf(10996,plain,
equal(quotient(u,product(eta(v),u)),i(eta(v))),
inference(spr,[status(thm),theory(equality)],[9443,85]),
[iquote('0:SpR:9443.0,85.0')] ).
cnf(11389,plain,
equal(quotient(product(u,j(product(eta(v),u))),eta(product(eta(v),u))),i(eta(v))),
inference(spr,[status(thm),theory(equality)],[384,10996]),
[iquote('0:SpR:384.0,10996.0')] ).
cnf(11471,plain,
equal(product(u,i(product(eta(v),u))),i(eta(v))),
inference(rew,[status(thm),theory(equality)],[4790,11389]),
[iquote('0:Rew:4790.0,11389.0')] ).
cnf(14187,plain,
equal(quotient(i(eta(u)),v),j(product(v,eta(u)))),
inference(spr,[status(thm),theory(equality)],[4846,5]),
[iquote('0:SpR:4846.0,5.0')] ).
cnf(15885,plain,
equal(difference(u,i(eta(v))),quotient(i(u),eta(v))),
inference(spr,[status(thm),theory(equality)],[102,10950]),
[iquote('0:SpR:102.0,10950.0')] ).
cnf(16483,plain,
equal(difference(u,i(eta(v))),i(product(eta(v),u))),
inference(spr,[status(thm),theory(equality)],[11471,4]),
[iquote('0:SpR:11471.0,4.0')] ).
cnf(16484,plain,
equal(t(u,i(product(eta(v),u))),quotient(i(eta(v)),u)),
inference(spr,[status(thm),theory(equality)],[11471,19]),
[iquote('0:SpR:11471.0,19.0')] ).
cnf(16489,plain,
equal(difference(t(u,i(product(eta(v),u))),i(eta(v))),u),
inference(spr,[status(thm),theory(equality)],[11471,221]),
[iquote('0:SpR:11471.0,221.0')] ).
cnf(16564,plain,
equal(quotient(i(u),eta(v)),i(product(eta(v),u))),
inference(rew,[status(thm),theory(equality)],[15885,16483]),
[iquote('0:Rew:15885.0,16483.0')] ).
cnf(16579,plain,
equal(difference(u,i(eta(v))),i(product(eta(v),u))),
inference(rew,[status(thm),theory(equality)],[16564,15885]),
[iquote('0:Rew:16564.0,15885.0')] ).
cnf(16602,plain,
equal(t(u,i(product(eta(v),u))),j(product(u,eta(v)))),
inference(rew,[status(thm),theory(equality)],[14187,16484]),
[iquote('0:Rew:14187.0,16484.0')] ).
cnf(16603,plain,
equal(i(product(eta(u),j(product(v,eta(u))))),v),
inference(rew,[status(thm),theory(equality)],[16579,16489,16602]),
[iquote('0:Rew:16579.0,16489.0,16602.0,16489.0')] ).
cnf(16604,plain,
equal(i(quotient(eta(u),product(v,eta(u)))),v),
inference(rew,[status(thm),theory(equality)],[4028,16603]),
[iquote('0:Rew:4028.0,16603.0')] ).
cnf(16876,plain,
equal(i(quotient(eta(u),v)),quotient(v,eta(u))),
inference(spr,[status(thm),theory(equality)],[6,16604]),
[iquote('0:SpR:6.0,16604.0')] ).
cnf(18068,plain,
equal(product(quotient(u,eta(v)),quotient(eta(v),u)),eta(quotient(eta(v),u))),
inference(spr,[status(thm),theory(equality)],[16876,12]),
[iquote('0:SpR:16876.0,12.0')] ).
cnf(18071,plain,
equal(eta(quotient(u,eta(v))),eta(quotient(eta(v),u))),
inference(spr,[status(thm),theory(equality)],[16876,109]),
[iquote('0:SpR:16876.0,109.0')] ).
cnf(18226,plain,
equal(product(u,difference(eta(v),quotient(eta(v),u))),eta(quotient(eta(v),u))),
inference(rew,[status(thm),theory(equality)],[9341,18068]),
[iquote('0:Rew:9341.0,18068.0')] ).
cnf(18227,plain,
equal(eta(quotient(eta(u),v)),eta(v)),
inference(rew,[status(thm),theory(equality)],[22,18226,4102]),
[iquote('0:Rew:22.0,18226.0,4102.0,18226.0')] ).
cnf(18231,plain,
equal(eta(quotient(u,eta(v))),eta(u)),
inference(rew,[status(thm),theory(equality)],[18227,18071]),
[iquote('0:Rew:18227.0,18071.0')] ).
cnf(18550,plain,
equal(eta(product(eta(u),v)),eta(i(v))),
inference(spr,[status(thm),theory(equality)],[4035,18227]),
[iquote('0:SpR:4035.0,18227.0')] ).
cnf(18656,plain,
equal(eta(product(eta(u),v)),eta(v)),
inference(rew,[status(thm),theory(equality)],[109,18550]),
[iquote('0:Rew:109.0,18550.0')] ).
cnf(19213,plain,
equal(eta(product(eta(u),v)),eta(t(eta(u),v))),
inference(spr,[status(thm),theory(equality)],[19,18231]),
[iquote('0:SpR:19.0,18231.0')] ).
cnf(19228,plain,
equal(eta(t(eta(u),product(u,v))),eta(product(i(i(u)),v))),
inference(spr,[status(thm),theory(equality)],[184,18231]),
[iquote('0:SpR:184.0,18231.0')] ).
cnf(19243,plain,
equal(eta(t(eta(u),v)),eta(v)),
inference(rew,[status(thm),theory(equality)],[18656,19213]),
[iquote('0:Rew:18656.0,19213.0')] ).
cnf(19294,plain,
equal(eta(product(i(i(u)),v)),eta(product(u,v))),
inference(rew,[status(thm),theory(equality)],[19243,19228]),
[iquote('0:Rew:19243.0,19228.0')] ).
cnf(26218,plain,
equal(eta(product(j(u),v)),eta(product(i(u),v))),
inference(spr,[status(thm),theory(equality)],[83,19294]),
[iquote('0:SpR:83.0,19294.0')] ).
cnf(51060,plain,
equal(product(u,j(product(v,u))),quotient(eta(u),v)),
inference(spr,[status(thm),theory(equality)],[9782,5]),
[iquote('0:SpR:9782.0,5.0')] ).
cnf(74231,plain,
equal(eta(product(u,j(j(v)))),eta(product(u,v))),
inference(spr,[status(thm),theory(equality)],[4786,18231]),
[iquote('0:SpR:4786.0,18231.0')] ).
cnf(80389,plain,
equal(eta(product(u,j(v))),eta(product(u,i(v)))),
inference(spr,[status(thm),theory(equality)],[102,74231]),
[iquote('0:SpR:102.0,74231.0')] ).
cnf(83187,plain,
equal(eta(product(u,i(product(v,u)))),eta(quotient(eta(u),v))),
inference(spr,[status(thm),theory(equality)],[51060,80389]),
[iquote('0:SpR:51060.0,80389.0')] ).
cnf(83289,plain,
equal(quotient(eta(u),quotient(v,u)),product(u,j(v))),
inference(spr,[status(thm),theory(equality)],[6,51060]),
[iquote('0:SpR:6.0,51060.0')] ).
cnf(83347,plain,
equal(eta(product(u,i(product(v,u)))),eta(v)),
inference(rew,[status(thm),theory(equality)],[18227,83187]),
[iquote('0:Rew:18227.0,83187.0')] ).
cnf(83846,plain,
equal(eta(product(j(product(u,v)),i(quotient(eta(v),u)))),eta(v)),
inference(spr,[status(thm),theory(equality)],[51060,83347]),
[iquote('0:SpR:51060.0,83347.0')] ).
cnf(83861,plain,
equal(eta(product(u,i(v))),eta(quotient(v,u))),
inference(spr,[status(thm),theory(equality)],[6,83347]),
[iquote('0:SpR:6.0,83347.0')] ).
cnf(84129,plain,
equal(eta(product(i(product(u,v)),quotient(u,eta(v)))),eta(v)),
inference(rew,[status(thm),theory(equality)],[26218,83846,16876]),
[iquote('0:Rew:26218.0,83846.0,16876.0,83846.0')] ).
cnf(84130,plain,
equal(eta(quotient(product(i(product(u,v)),u),eta(v))),eta(v)),
inference(rew,[status(thm),theory(equality)],[4787,84129]),
[iquote('0:Rew:4787.0,84129.0')] ).
cnf(84131,plain,
equal(eta(product(i(product(u,v)),u)),eta(v)),
inference(rew,[status(thm),theory(equality)],[18231,84130]),
[iquote('0:Rew:18231.0,84130.0')] ).
cnf(94717,plain,
equal(eta(quotient(j(u),v)),eta(product(v,u))),
inference(spr,[status(thm),theory(equality)],[83,83861]),
[iquote('0:SpR:83.0,83861.0')] ).
cnf(97637,plain,
equal(eta(product(i(u),v)),eta(difference(v,u))),
inference(spr,[status(thm),theory(equality)],[3,84131]),
[iquote('0:SpR:3.0,84131.0')] ).
cnf(97708,plain,
equal(eta(difference(u,i(v))),eta(product(v,u))),
inference(rew,[status(thm),theory(equality)],[97637,19294]),
[iquote('0:Rew:97637.0,19294.0')] ).
cnf(98905,plain,
equal(product(eta(product(u,v)),quotient(j(v),u)),i(i(quotient(j(v),u)))),
inference(spr,[status(thm),theory(equality)],[94717,199]),
[iquote('0:SpR:94717.0,199.0')] ).
cnf(99158,plain,
equal(quotient(product(eta(product(u,v)),j(v)),u),i(i(quotient(j(v),u)))),
inference(rew,[status(thm),theory(equality)],[3985,98905]),
[iquote('0:Rew:3985.0,98905.0')] ).
cnf(99159,plain,
equal(l(u,v,i(product(u,v))),i(i(quotient(j(v),u)))),
inference(rew,[status(thm),theory(equality)],[467,99158,4028]),
[iquote('0:Rew:467.0,99158.0,4028.0,99158.0')] ).
cnf(99160,plain,
equal(quotient(quotient(eta(product(u,v)),v),u),i(i(quotient(j(v),u)))),
inference(rew,[status(thm),theory(equality)],[99159,467]),
[iquote('0:Rew:99159.0,467.0')] ).
cnf(100793,plain,
equal(eta(product(u,quotient(i(u),v))),eta(v)),
inference(spr,[status(thm),theory(equality)],[67,97708]),
[iquote('0:SpR:67.0,97708.0')] ).
cnf(102750,plain,
equal(quotient(quotient(eta(u),quotient(i(v),u)),v),i(i(quotient(j(quotient(i(v),u)),v)))),
inference(spr,[status(thm),theory(equality)],[100793,99160]),
[iquote('0:SpR:100793.0,99160.0')] ).
cnf(102830,plain,
equal(i(i(quotient(j(quotient(i(u),v)),u))),quotient(product(v,j(i(u))),u)),
inference(rew,[status(thm),theory(equality)],[83289,102750]),
[iquote('0:Rew:83289.0,102750.0')] ).
cnf(102831,plain,
equal(i(i(quotient(j(quotient(i(u),v)),u))),v),
inference(rew,[status(thm),theory(equality)],[5,102830,102]),
[iquote('0:Rew:5.0,102830.0,102.0,102830.0')] ).
cnf(110105,plain,
equal(i(quotient(j(quotient(i(u),v)),u)),j(v)),
inference(spr,[status(thm),theory(equality)],[102831,102]),
[iquote('0:SpR:102831.0,102.0')] ).
cnf(110141,plain,
equal(t(i(quotient(j(quotient(i(u),v)),u)),v),j(i(quotient(j(quotient(i(u),v)),u)))),
inference(spr,[status(thm),theory(equality)],[102831,128]),
[iquote('0:SpR:102831.0,128.0')] ).
cnf(110646,plain,
equal(t(i(quotient(j(quotient(i(u),v)),u)),v),quotient(j(quotient(i(u),v)),u)),
inference(rew,[status(thm),theory(equality)],[102,110141]),
[iquote('0:Rew:102.0,110141.0')] ).
cnf(110647,plain,
equal(t(j(u),u),quotient(j(quotient(i(v),u)),v)),
inference(rew,[status(thm),theory(equality)],[110105,110646]),
[iquote('0:Rew:110105.0,110646.0')] ).
cnf(110648,plain,
equal(quotient(j(quotient(i(u),v)),u),j(j(v))),
inference(rew,[status(thm),theory(equality)],[129,110647]),
[iquote('0:Rew:129.0,110647.0')] ).
cnf(113348,plain,
equal(product(j(j(u)),v),j(quotient(i(v),u))),
inference(spr,[status(thm),theory(equality)],[110648,6]),
[iquote('0:SpR:110648.0,6.0')] ).
cnf(113849,plain,
equal(product(u,quotient(eta(u),v)),j(quotient(i(j(v)),u))),
inference(rew,[status(thm),theory(equality)],[113348,4110]),
[iquote('0:Rew:113348.0,4110.0')] ).
cnf(113991,plain,
equal(product(u,quotient(eta(u),v)),j(quotient(v,u))),
inference(rew,[status(thm),theory(equality)],[83,113849]),
[iquote('0:Rew:83.0,113849.0')] ).
cnf(113992,plain,
~ equal(j(quotient(product(x1__dfg,x0__dfg),x0__dfg)),j(x1__dfg)),
inference(rew,[status(thm),theory(equality)],[113991,4137]),
[iquote('0:Rew:113991.0,4137.0')] ).
cnf(113996,plain,
~ equal(j(x1__dfg),j(x1__dfg)),
inference(rew,[status(thm),theory(equality)],[5,113992]),
[iquote('0:Rew:5.0,113992.0')] ).
cnf(113997,plain,
$false,
inference(obv,[status(thm),theory(equality)],[113996]),
[iquote('0:Obv:113996.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP767-1 : TPTP v8.1.0. Released v4.1.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 20:23:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 144.60/144.82
% 144.60/144.82 SPASS V 3.9
% 144.60/144.82 SPASS beiseite: Proof found.
% 144.60/144.82 % SZS status Theorem
% 144.60/144.82 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 144.60/144.82 SPASS derived 61807 clauses, backtracked 0 clauses, performed 0 splits and kept 13644 clauses.
% 144.60/144.82 SPASS allocated 182534 KBytes.
% 144.60/144.82 SPASS spent 0:2:24.32 on the problem.
% 144.60/144.82 0:00:00.04 for the input.
% 144.60/144.82 0:00:00.00 for the FLOTTER CNF translation.
% 144.60/144.82 0:00:00.47 for inferences.
% 144.60/144.82 0:00:00.00 for the backtracking.
% 144.60/144.82 0:2:23.63 for the reduction.
% 144.60/144.82
% 144.60/144.82
% 144.60/144.82 Here is a proof with depth 14, length 217 :
% 144.60/144.82 % SZS output start Refutation
% See solution above
% 147.56/147.75 Formulae used in the proof : sos01 sos02 sos03 sos04 sos05 sos06 sos07 sos08 sos09 sos10 sos11 sos12 sos13 sos14 sos15 sos16 sos17 sos19 goals
% 147.56/147.75
%------------------------------------------------------------------------------