TSTP Solution File: GRP591-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP591-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 11:48:11 EDT 2022
% Result : Unsatisfiable 0.67s 0.84s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 3
% Syntax : Number of clauses : 94 ( 94 unt; 0 nHn; 94 RR)
% Number of literals : 94 ( 0 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(double_divide(inverse(double_divide(double_divide(u,v),inverse(double_divide(u,inverse(w))))),v),w),
file('GRP591-1.p',unknown),
[] ).
cnf(2,axiom,
equal(inverse(double_divide(u,v)),multiply(v,u)),
file('GRP591-1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))),
file('GRP591-1.p',unknown),
[] ).
cnf(4,plain,
equal(double_divide(multiply(multiply(inverse(u),v),double_divide(v,w)),w),u),
inference(rew,[status(thm),theory(equality)],[2,1]),
[iquote('0:Rew:2.0,1.0,2.0,1.0')] ).
cnf(6,plain,
equal(multiply(u,multiply(multiply(inverse(v),w),double_divide(w,u))),inverse(v)),
inference(spr,[status(thm),theory(equality)],[4,2]),
[iquote('0:SpR:4.0,2.0')] ).
cnf(7,plain,
equal(double_divide(multiply(multiply(inverse(u),multiply(multiply(inverse(v),w),double_divide(w,x))),v),x),u),
inference(spr,[status(thm),theory(equality)],[4]),
[iquote('0:SpR:4.0,4.0')] ).
cnf(10,plain,
equal(double_divide(multiply(inverse(u),double_divide(multiply(multiply(inverse(u),v),double_divide(v,inverse(w))),x)),x),w),
inference(spr,[status(thm),theory(equality)],[6,4]),
[iquote('0:SpR:6.0,4.0')] ).
cnf(13,plain,
equal(multiply(u,multiply(multiply(inverse(v),multiply(multiply(inverse(w),x),double_divide(x,u))),w)),inverse(v)),
inference(spr,[status(thm),theory(equality)],[4,6]),
[iquote('0:SpR:4.0,6.0')] ).
cnf(14,plain,
equal(multiply(u,multiply(multiply(multiply(v,w),x),double_divide(x,u))),multiply(v,w)),
inference(spr,[status(thm),theory(equality)],[2,6]),
[iquote('0:SpR:2.0,6.0')] ).
cnf(44,plain,
equal(double_divide(multiply(multiply(inverse(u),multiply(multiply(inverse(v),multiply(multiply(inverse(w),x),double_divide(x,y))),w)),v),y),u),
inference(spr,[status(thm),theory(equality)],[4,7]),
[iquote('0:SpR:4.0,7.0')] ).
cnf(50,plain,
equal(double_divide(multiply(inverse(u),u),inverse(v)),v),
inference(spr,[status(thm),theory(equality)],[6,7]),
[iquote('0:SpR:6.0,7.0')] ).
cnf(51,plain,
equal(multiply(inverse(u),multiply(inverse(v),v)),inverse(u)),
inference(spr,[status(thm),theory(equality)],[50,2]),
[iquote('0:SpR:50.0,2.0')] ).
cnf(52,plain,
equal(double_divide(multiply(multiply(inverse(u),multiply(inverse(v),v)),w),inverse(w)),u),
inference(spr,[status(thm),theory(equality)],[50,4]),
[iquote('0:SpR:50.0,4.0')] ).
cnf(53,plain,
equal(multiply(inverse(u),multiply(multiply(inverse(v),multiply(inverse(w),w)),u)),inverse(v)),
inference(spr,[status(thm),theory(equality)],[50,6]),
[iquote('0:SpR:50.0,6.0')] ).
cnf(60,plain,
equal(double_divide(multiply(inverse(u),v),inverse(v)),u),
inference(rew,[status(thm),theory(equality)],[51,52]),
[iquote('0:Rew:51.0,52.0')] ).
cnf(61,plain,
equal(multiply(inverse(u),multiply(inverse(v),u)),inverse(v)),
inference(rew,[status(thm),theory(equality)],[51,53]),
[iquote('0:Rew:51.0,53.0')] ).
cnf(71,plain,
equal(double_divide(multiply(inverse(u),double_divide(v,w)),multiply(w,v)),u),
inference(spr,[status(thm),theory(equality)],[2,60]),
[iquote('0:SpR:2.0,60.0')] ).
cnf(85,plain,
equal(double_divide(multiply(inverse(u),double_divide(multiply(multiply(inverse(u),multiply(multiply(inverse(v),w),double_divide(w,inverse(x)))),v),y)),y),x),
inference(spr,[status(thm),theory(equality)],[4,10]),
[iquote('0:SpR:4.0,10.0')] ).
cnf(98,plain,
equal(double_divide(inverse(u),inverse(multiply(inverse(v),v))),u),
inference(spr,[status(thm),theory(equality)],[51,60]),
[iquote('0:SpR:51.0,60.0')] ).
cnf(101,plain,
equal(double_divide(inverse(multiply(inverse(u),u)),inverse(v)),v),
inference(spr,[status(thm),theory(equality)],[51,50]),
[iquote('0:SpR:51.0,50.0')] ).
cnf(128,plain,
equal(double_divide(multiply(multiply(inverse(u),inverse(v)),v),inverse(multiply(inverse(w),w))),u),
inference(spr,[status(thm),theory(equality)],[98,4]),
[iquote('0:SpR:98.0,4.0')] ).
cnf(137,plain,
equal(double_divide(multiply(u,v),inverse(multiply(inverse(w),w))),double_divide(v,u)),
inference(spr,[status(thm),theory(equality)],[2,98]),
[iquote('0:SpR:2.0,98.0')] ).
cnf(138,plain,
equal(double_divide(u,multiply(inverse(v),inverse(u))),v),
inference(rew,[status(thm),theory(equality)],[137,128]),
[iquote('0:Rew:137.0,128.0')] ).
cnf(163,plain,
equal(multiply(u,multiply(inverse(v),double_divide(multiply(multiply(inverse(v),multiply(multiply(inverse(w),x),double_divide(x,multiply(y,z)))),w),u))),multiply(y,z)),
inference(spr,[status(thm),theory(equality)],[13,14]),
[iquote('0:SpR:13.0,14.0')] ).
cnf(192,plain,
equal(multiply(inverse(u),u),multiply(inverse(v),v)),
inference(spr,[status(thm),theory(equality)],[101,98]),
[iquote('0:SpR:101.0,98.0')] ).
cnf(205,plain,
equal(double_divide(multiply(multiply(inverse(u),u),double_divide(v,w)),w),v),
inference(spr,[status(thm),theory(equality)],[192,4]),
[iquote('0:SpR:192.0,4.0')] ).
cnf(208,plain,
equal(double_divide(multiply(multiply(inverse(u),u),v),w),multiply(multiply(inverse(v),x),double_divide(x,w))),
inference(spr,[status(thm),theory(equality)],[192,7]),
[iquote('0:SpR:192.0,7.0')] ).
cnf(213,plain,
equal(multiply(u,multiply(multiply(inverse(v),v),double_divide(w,u))),inverse(w)),
inference(spr,[status(thm),theory(equality)],[192,6]),
[iquote('0:SpR:192.0,6.0')] ).
cnf(219,plain,
equal(double_divide(u,multiply(inverse(v),v)),inverse(u)),
inference(spr,[status(thm),theory(equality)],[192,138]),
[iquote('0:SpR:192.0,138.0')] ).
cnf(246,plain,
equal(multiply(multiply(inverse(u),u),v),inverse(inverse(v))),
inference(spr,[status(thm),theory(equality)],[219,2]),
[iquote('0:SpR:219.0,2.0')] ).
cnf(261,plain,
equal(double_divide(u,inverse(multiply(inverse(v),v))),inverse(u)),
inference(spr,[status(thm),theory(equality)],[51,219]),
[iquote('0:SpR:51.0,219.0')] ).
cnf(264,plain,
equal(multiply(multiply(inverse(u),v),double_divide(v,w)),double_divide(inverse(inverse(u)),w)),
inference(rew,[status(thm),theory(equality)],[246,208]),
[iquote('0:Rew:246.0,208.0')] ).
cnf(268,plain,
equal(multiply(u,inverse(inverse(double_divide(v,u)))),inverse(v)),
inference(rew,[status(thm),theory(equality)],[246,213]),
[iquote('0:Rew:246.0,213.0')] ).
cnf(269,plain,
equal(double_divide(inverse(inverse(double_divide(u,v))),v),u),
inference(rew,[status(thm),theory(equality)],[246,205]),
[iquote('0:Rew:246.0,205.0')] ).
cnf(271,plain,
equal(double_divide(inverse(multiply(u,v)),u),v),
inference(rew,[status(thm),theory(equality)],[2,269]),
[iquote('0:Rew:2.0,269.0')] ).
cnf(272,plain,
equal(inverse(inverse(u)),u),
inference(rew,[status(thm),theory(equality)],[261,98]),
[iquote('0:Rew:261.0,98.0')] ).
cnf(273,plain,
equal(inverse(multiply(u,v)),double_divide(v,u)),
inference(rew,[status(thm),theory(equality)],[261,137]),
[iquote('0:Rew:261.0,137.0')] ).
cnf(278,plain,
equal(double_divide(double_divide(u,v),v),u),
inference(rew,[status(thm),theory(equality)],[273,271]),
[iquote('0:Rew:273.0,271.0')] ).
cnf(298,plain,
equal(multiply(u,inverse(multiply(u,v))),inverse(v)),
inference(rew,[status(thm),theory(equality)],[2,268]),
[iquote('0:Rew:2.0,268.0')] ).
cnf(299,plain,
equal(multiply(u,double_divide(v,u)),inverse(v)),
inference(rew,[status(thm),theory(equality)],[273,298]),
[iquote('0:Rew:273.0,298.0')] ).
cnf(304,plain,
equal(multiply(multiply(inverse(u),v),double_divide(v,w)),double_divide(u,w)),
inference(rew,[status(thm),theory(equality)],[272,264]),
[iquote('0:Rew:272.0,264.0')] ).
cnf(322,plain,
equal(multiply(u,multiply(inverse(v),double_divide(multiply(multiply(inverse(v),double_divide(w,multiply(x,y))),w),u))),multiply(x,y)),
inference(rew,[status(thm),theory(equality)],[304,163]),
[iquote('0:Rew:304.0,163.0')] ).
cnf(331,plain,
equal(double_divide(multiply(multiply(inverse(u),multiply(multiply(inverse(v),double_divide(w,x)),w)),v),x),u),
inference(rew,[status(thm),theory(equality)],[304,44]),
[iquote('0:Rew:304.0,44.0')] ).
cnf(335,plain,
equal(double_divide(multiply(inverse(u),double_divide(multiply(multiply(inverse(u),double_divide(v,inverse(w))),v),x)),x),w),
inference(rew,[status(thm),theory(equality)],[304,85]),
[iquote('0:Rew:304.0,85.0')] ).
cnf(375,plain,
equal(multiply(inverse(u),multiply(v,u)),v),
inference(spr,[status(thm),theory(equality)],[272,61]),
[iquote('0:SpR:272.0,61.0')] ).
cnf(500,plain,
equal(multiply(inverse(multiply(u,v)),u),inverse(v)),
inference(spr,[status(thm),theory(equality)],[375]),
[iquote('0:SpR:375.0,375.0')] ).
cnf(510,plain,
equal(multiply(u,multiply(v,inverse(u))),v),
inference(spr,[status(thm),theory(equality)],[272,375]),
[iquote('0:SpR:272.0,375.0')] ).
cnf(511,plain,
equal(multiply(double_divide(u,v),multiply(w,multiply(v,u))),w),
inference(spr,[status(thm),theory(equality)],[273,375]),
[iquote('0:SpR:273.0,375.0')] ).
cnf(512,plain,
equal(multiply(double_divide(u,v),v),inverse(u)),
inference(rew,[status(thm),theory(equality)],[273,500]),
[iquote('0:Rew:273.0,500.0')] ).
cnf(656,plain,
equal(multiply(u,inverse(v)),double_divide(v,inverse(u))),
inference(spr,[status(thm),theory(equality)],[512,510]),
[iquote('0:SpR:512.0,510.0')] ).
cnf(657,plain,
equal(double_divide(u,double_divide(v,u)),inverse(inverse(v))),
inference(spr,[status(thm),theory(equality)],[512,273]),
[iquote('0:SpR:512.0,273.0')] ).
cnf(664,plain,
equal(inverse(double_divide(u,v)),multiply(u,v)),
inference(spr,[status(thm),theory(equality)],[278,512]),
[iquote('0:SpR:278.0,512.0')] ).
cnf(665,plain,
equal(multiply(u,v),multiply(v,u)),
inference(rew,[status(thm),theory(equality)],[2,664]),
[iquote('0:Rew:2.0,664.0')] ).
cnf(671,plain,
~ equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))),
inference(rew,[status(thm),theory(equality)],[665,3]),
[iquote('0:Rew:665.0,3.0')] ).
cnf(690,plain,
equal(double_divide(multiply(inverse(u),double_divide(multiply(v,multiply(inverse(u),double_divide(v,inverse(w)))),x)),x),w),
inference(rew,[status(thm),theory(equality)],[665,335]),
[iquote('0:Rew:665.0,335.0')] ).
cnf(691,plain,
equal(multiply(u,multiply(inverse(v),double_divide(multiply(w,multiply(inverse(v),double_divide(w,multiply(x,y)))),u))),multiply(x,y)),
inference(rew,[status(thm),theory(equality)],[665,322]),
[iquote('0:Rew:665.0,322.0')] ).
cnf(694,plain,
equal(double_divide(multiply(multiply(inverse(u),multiply(v,multiply(inverse(w),double_divide(v,x)))),w),x),u),
inference(rew,[status(thm),theory(equality)],[665,331]),
[iquote('0:Rew:665.0,331.0')] ).
cnf(735,plain,
equal(double_divide(u,double_divide(v,u)),v),
inference(rew,[status(thm),theory(equality)],[272,657]),
[iquote('0:Rew:272.0,657.0')] ).
cnf(756,plain,
equal(double_divide(multiply(u,multiply(inverse(v),multiply(w,multiply(inverse(u),double_divide(w,x))))),x),v),
inference(rew,[status(thm),theory(equality)],[665,694]),
[iquote('0:Rew:665.0,694.0')] ).
cnf(771,plain,
equal(multiply(inverse(u),multiply(u,v)),v),
inference(spr,[status(thm),theory(equality)],[665,375]),
[iquote('0:SpR:665.0,375.0')] ).
cnf(773,plain,
equal(inverse(multiply(u,v)),double_divide(u,v)),
inference(spr,[status(thm),theory(equality)],[665,273]),
[iquote('0:SpR:665.0,273.0')] ).
cnf(783,plain,
equal(double_divide(u,v),double_divide(v,u)),
inference(rew,[status(thm),theory(equality)],[273,773]),
[iquote('0:Rew:273.0,773.0')] ).
cnf(790,plain,
equal(double_divide(multiply(u,v),multiply(inverse(w),double_divide(v,u))),w),
inference(rew,[status(thm),theory(equality)],[783,71]),
[iquote('0:Rew:783.0,71.0')] ).
cnf(815,plain,
equal(double_divide(u,multiply(v,multiply(inverse(w),multiply(x,multiply(inverse(v),double_divide(x,u)))))),w),
inference(rew,[status(thm),theory(equality)],[783,756]),
[iquote('0:Rew:783.0,756.0')] ).
cnf(817,plain,
equal(double_divide(u,multiply(inverse(v),double_divide(multiply(w,multiply(inverse(v),double_divide(w,inverse(x)))),u))),x),
inference(rew,[status(thm),theory(equality)],[783,690]),
[iquote('0:Rew:783.0,690.0')] ).
cnf(828,plain,
equal(multiply(double_divide(u,v),u),inverse(v)),
inference(spr,[status(thm),theory(equality)],[735,299]),
[iquote('0:SpR:735.0,299.0')] ).
cnf(829,plain,
equal(double_divide(double_divide(u,v),u),v),
inference(spr,[status(thm),theory(equality)],[735]),
[iquote('0:SpR:735.0,735.0')] ).
cnf(830,plain,
equal(double_divide(u,double_divide(u,v)),v),
inference(rew,[status(thm),theory(equality)],[783,829]),
[iquote('0:Rew:783.0,829.0')] ).
cnf(832,plain,
equal(multiply(u,double_divide(u,v)),inverse(v)),
inference(rew,[status(thm),theory(equality)],[665,828]),
[iquote('0:Rew:665.0,828.0')] ).
cnf(931,plain,
equal(multiply(double_divide(u,v),multiply(multiply(v,u),w)),w),
inference(spr,[status(thm),theory(equality)],[273,771]),
[iquote('0:SpR:273.0,771.0')] ).
cnf(1050,plain,
equal(multiply(inverse(u),double_divide(v,w)),double_divide(w,multiply(u,v))),
inference(spr,[status(thm),theory(equality)],[375,815]),
[iquote('0:SpR:375.0,815.0')] ).
cnf(1070,plain,
equal(double_divide(multiply(u,v),double_divide(u,multiply(w,v))),w),
inference(rew,[status(thm),theory(equality)],[1050,790]),
[iquote('0:Rew:1050.0,790.0')] ).
cnf(1081,plain,
equal(multiply(u,multiply(inverse(v),double_divide(multiply(w,double_divide(multiply(x,y),multiply(v,w))),u))),multiply(x,y)),
inference(rew,[status(thm),theory(equality)],[1050,691]),
[iquote('0:Rew:1050.0,691.0')] ).
cnf(1084,plain,
equal(double_divide(u,multiply(inverse(v),double_divide(multiply(w,double_divide(inverse(x),multiply(v,w))),u))),x),
inference(rew,[status(thm),theory(equality)],[1050,817]),
[iquote('0:Rew:1050.0,817.0')] ).
cnf(1140,plain,
equal(double_divide(u,double_divide(u,multiply(v,multiply(w,double_divide(inverse(x),multiply(v,w)))))),x),
inference(rew,[status(thm),theory(equality)],[1050,1084]),
[iquote('0:Rew:1050.0,1084.0')] ).
cnf(1141,plain,
equal(multiply(u,multiply(v,double_divide(inverse(w),multiply(u,v)))),w),
inference(rew,[status(thm),theory(equality)],[830,1140]),
[iquote('0:Rew:830.0,1140.0')] ).
cnf(1171,plain,
equal(multiply(u,double_divide(u,multiply(v,multiply(w,double_divide(multiply(x,y),multiply(v,w)))))),multiply(x,y)),
inference(rew,[status(thm),theory(equality)],[1050,1081]),
[iquote('0:Rew:1050.0,1081.0')] ).
cnf(1172,plain,
equal(double_divide(u,multiply(v,double_divide(multiply(w,x),multiply(u,v)))),multiply(w,x)),
inference(rew,[status(thm),theory(equality)],[783,1171,273,832]),
[iquote('0:Rew:783.0,1171.0,273.0,1171.0,832.0,1171.0')] ).
cnf(1259,plain,
equal(double_divide(inverse(u),inverse(v)),multiply(v,u)),
inference(spr,[status(thm),theory(equality)],[272,656]),
[iquote('0:SpR:272.0,656.0')] ).
cnf(1410,plain,
equal(multiply(u,multiply(v,double_divide(inverse(w),multiply(v,u)))),w),
inference(spr,[status(thm),theory(equality)],[665,1141]),
[iquote('0:SpR:665.0,1141.0')] ).
cnf(1481,plain,
equal(double_divide(inverse(u),multiply(v,w)),multiply(double_divide(w,v),u)),
inference(spr,[status(thm),theory(equality)],[2,1259]),
[iquote('0:SpR:2.0,1259.0')] ).
cnf(1505,plain,
equal(multiply(u,multiply(v,multiply(double_divide(u,v),w))),w),
inference(rew,[status(thm),theory(equality)],[1481,1410]),
[iquote('0:Rew:1481.0,1410.0')] ).
cnf(1629,plain,
equal(inverse(multiply(u,double_divide(multiply(v,w),multiply(x,u)))),multiply(x,multiply(v,w))),
inference(spr,[status(thm),theory(equality)],[1172,832]),
[iquote('0:SpR:1172.0,832.0')] ).
cnf(1668,plain,
equal(double_divide(u,double_divide(multiply(v,w),multiply(x,u))),multiply(x,multiply(v,w))),
inference(rew,[status(thm),theory(equality)],[783,1629,273]),
[iquote('0:Rew:783.0,1629.0,273.0,1629.0')] ).
cnf(2207,plain,
equal(double_divide(multiply(u,v),w),double_divide(u,multiply(w,v))),
inference(spr,[status(thm),theory(equality)],[1070,830]),
[iquote('0:SpR:1070.0,830.0')] ).
cnf(2214,plain,
equal(double_divide(double_divide(u,multiply(v,w)),v),multiply(u,w)),
inference(spr,[status(thm),theory(equality)],[1070,735]),
[iquote('0:SpR:1070.0,735.0')] ).
cnf(2260,plain,
equal(double_divide(u,double_divide(v,multiply(multiply(w,u),x))),multiply(w,multiply(v,x))),
inference(rew,[status(thm),theory(equality)],[2207,1668]),
[iquote('0:Rew:2207.0,1668.0')] ).
cnf(2271,plain,
equal(double_divide(u,double_divide(v,multiply(u,w))),multiply(v,w)),
inference(rew,[status(thm),theory(equality)],[783,2214]),
[iquote('0:Rew:783.0,2214.0')] ).
cnf(3067,plain,
equal(multiply(multiply(u,v),w),multiply(v,multiply(u,w))),
inference(spr,[status(thm),theory(equality)],[931,1505]),
[iquote('0:SpR:931.0,1505.0')] ).
cnf(3068,plain,
equal(multiply(u,multiply(v,w)),multiply(w,multiply(v,u))),
inference(spr,[status(thm),theory(equality)],[511,1505]),
[iquote('0:SpR:511.0,1505.0')] ).
cnf(3119,plain,
equal(double_divide(u,double_divide(v,multiply(u,multiply(w,x)))),multiply(w,multiply(v,x))),
inference(rew,[status(thm),theory(equality)],[3067,2260]),
[iquote('0:Rew:3067.0,2260.0')] ).
cnf(3148,plain,
~ equal(multiply(b3,multiply(a3,c3)),multiply(a3,multiply(b3,c3))),
inference(rew,[status(thm),theory(equality)],[3068,671]),
[iquote('0:Rew:3068.0,671.0')] ).
cnf(3241,plain,
equal(multiply(u,multiply(v,w)),multiply(v,multiply(u,w))),
inference(rew,[status(thm),theory(equality)],[2271,3119]),
[iquote('0:Rew:2271.0,3119.0')] ).
cnf(3242,plain,
$false,
inference(unc,[status(thm)],[3241,3148]),
[iquote('0:UnC:3241.0,3148.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP591-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 05:57:40 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.67/0.84
% 0.67/0.84 SPASS V 3.9
% 0.67/0.84 SPASS beiseite: Proof found.
% 0.67/0.84 % SZS status Theorem
% 0.67/0.84 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.67/0.84 SPASS derived 1912 clauses, backtracked 0 clauses, performed 0 splits and kept 628 clauses.
% 0.67/0.84 SPASS allocated 67036 KBytes.
% 0.67/0.84 SPASS spent 0:00:00.50 on the problem.
% 0.67/0.84 0:00:00.04 for the input.
% 0.67/0.84 0:00:00.00 for the FLOTTER CNF translation.
% 0.67/0.84 0:00:00.01 for inferences.
% 0.67/0.84 0:00:00.00 for the backtracking.
% 0.67/0.84 0:00:00.43 for the reduction.
% 0.67/0.84
% 0.67/0.84
% 0.67/0.84 Here is a proof with depth 10, length 94 :
% 0.67/0.84 % SZS output start Refutation
% See solution above
% 0.67/0.86 Formulae used in the proof : single_axiom multiply prove_these_axioms_3
% 0.67/0.86
%------------------------------------------------------------------------------