TSTP Solution File: GRP108-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP108-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 11:45:20 EDT 2022
% Result : Unsatisfiable 0.48s 0.68s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 3
% Syntax : Number of clauses : 88 ( 85 unt; 0 nHn; 88 RR)
% Number of literals : 97 ( 0 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 14 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(inverse(double_divide(inverse(double_divide(u,inverse(double_divide(v,double_divide(u,w))))),w)),v),
file('GRP108-1.p',unknown),
[] ).
cnf(2,axiom,
equal(inverse(double_divide(u,v)),multiply(v,u)),
file('GRP108-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ equal(multiply(b4,a4),multiply(a4,b4))
| ~ equal(multiply(inverse(b1),b1),multiply(inverse(a1),a1))
| ~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3)))
| ~ equal(multiply(multiply(inverse(b2),b2),a2),a2) ),
file('GRP108-1.p',unknown),
[] ).
cnf(4,plain,
equal(multiply(u,multiply(multiply(double_divide(v,u),w),v)),w),
inference(rew,[status(thm),theory(equality)],[2,1]),
[iquote('0:Rew:2.0,1.0,2.0,1.0,2.0,1.0')] ).
cnf(6,plain,
equal(multiply(multiply(double_divide(u,double_divide(v,w)),x),u),multiply(w,multiply(x,v))),
inference(spr,[status(thm),theory(equality)],[4]),
[iquote('0:SpR:4.0,4.0')] ).
cnf(9,plain,
equal(multiply(double_divide(u,v),multiply(v,multiply(w,u))),w),
inference(spr,[status(thm),theory(equality)],[6,4]),
[iquote('0:SpR:6.0,4.0')] ).
cnf(12,plain,
equal(multiply(double_divide(multiply(u,multiply(v,w)),x),multiply(x,v)),double_divide(w,u)),
inference(spr,[status(thm),theory(equality)],[9]),
[iquote('0:SpR:9.0,9.0')] ).
cnf(15,plain,
equal(multiply(double_divide(multiply(u,v),double_divide(v,w)),u),w),
inference(spr,[status(thm),theory(equality)],[9]),
[iquote('0:SpR:9.0,9.0')] ).
cnf(18,plain,
equal(multiply(double_divide(multiply(multiply(double_divide(u,v),w),u),x),multiply(x,w)),v),
inference(spr,[status(thm),theory(equality)],[4,9]),
[iquote('0:SpR:4.0,9.0')] ).
cnf(33,plain,
equal(double_divide(u,multiply(double_divide(multiply(v,u),w),v)),w),
inference(spr,[status(thm),theory(equality)],[12,15]),
[iquote('0:SpR:12.0,15.0')] ).
cnf(58,plain,
equal(multiply(multiply(double_divide(multiply(u,v),w),u),v),inverse(w)),
inference(spr,[status(thm),theory(equality)],[33,2]),
[iquote('0:SpR:33.0,2.0')] ).
cnf(65,plain,
equal(multiply(double_divide(multiply(u,multiply(v,w)),x),u),double_divide(w,multiply(x,v))),
inference(spr,[status(thm),theory(equality)],[33]),
[iquote('0:SpR:33.0,33.0')] ).
cnf(72,plain,
equal(double_divide(multiply(u,v),double_divide(v,multiply(w,u))),w),
inference(spr,[status(thm),theory(equality)],[12,33]),
[iquote('0:SpR:12.0,33.0')] ).
cnf(74,plain,
equal(multiply(double_divide(u,multiply(v,w)),multiply(w,u)),inverse(v)),
inference(spr,[status(thm),theory(equality)],[72,2]),
[iquote('0:SpR:72.0,2.0')] ).
cnf(76,plain,
equal(multiply(multiply(u,v),multiply(w,x)),multiply(multiply(u,w),multiply(v,x))),
inference(spr,[status(thm),theory(equality)],[72,6]),
[iquote('0:SpR:72.0,6.0')] ).
cnf(113,plain,
equal(multiply(double_divide(multiply(multiply(double_divide(u,v),w),u),double_divide(multiply(w,x),double_divide(x,y))),y),v),
inference(spr,[status(thm),theory(equality)],[15,18]),
[iquote('0:SpR:15.0,18.0')] ).
cnf(141,plain,
equal(multiply(multiply(double_divide(inverse(u),v),multiply(double_divide(multiply(w,x),u),w)),x),inverse(v)),
inference(spr,[status(thm),theory(equality)],[58]),
[iquote('0:SpR:58.0,58.0')] ).
cnf(142,plain,
equal(multiply(double_divide(u,multiply(double_divide(multiply(v,multiply(w,u)),x),v)),inverse(x)),w),
inference(spr,[status(thm),theory(equality)],[58,9]),
[iquote('0:SpR:58.0,9.0')] ).
cnf(157,plain,
equal(multiply(double_divide(u,double_divide(u,multiply(v,w))),inverse(v)),w),
inference(rew,[status(thm),theory(equality)],[65,142]),
[iquote('0:Rew:65.0,142.0')] ).
cnf(167,plain,
equal(multiply(multiply(u,v),multiply(inverse(u),w)),multiply(v,w)),
inference(spr,[status(thm),theory(equality)],[74,4]),
[iquote('0:SpR:74.0,4.0')] ).
cnf(171,plain,
equal(multiply(multiply(double_divide(inverse(u),v),double_divide(w,multiply(u,x))),multiply(x,w)),inverse(v)),
inference(spr,[status(thm),theory(equality)],[74,58]),
[iquote('0:SpR:74.0,58.0')] ).
cnf(176,plain,
equal(multiply(double_divide(u,inverse(v)),multiply(multiply(w,x),u)),inverse(double_divide(x,multiply(v,w)))),
inference(spr,[status(thm),theory(equality)],[74]),
[iquote('0:SpR:74.0,74.0')] ).
cnf(192,plain,
equal(multiply(double_divide(u,v),multiply(multiply(w,x),u)),inverse(double_divide(multiply(multiply(double_divide(y,v),x),y),w))),
inference(spr,[status(thm),theory(equality)],[18,74]),
[iquote('0:SpR:18.0,74.0')] ).
cnf(196,plain,
equal(multiply(multiply(double_divide(inverse(u),v),w),multiply(double_divide(x,multiply(u,w)),x)),inverse(v)),
inference(rew,[status(thm),theory(equality)],[76,171]),
[iquote('0:Rew:76.0,171.0')] ).
cnf(197,plain,
equal(multiply(double_divide(u,inverse(v)),multiply(multiply(w,x),u)),multiply(multiply(v,w),x)),
inference(rew,[status(thm),theory(equality)],[2,176]),
[iquote('0:Rew:2.0,176.0')] ).
cnf(198,plain,
equal(multiply(double_divide(u,v),multiply(multiply(w,x),u)),multiply(w,multiply(multiply(double_divide(y,v),x),y))),
inference(rew,[status(thm),theory(equality)],[2,192]),
[iquote('0:Rew:2.0,192.0')] ).
cnf(201,plain,
equal(double_divide(inverse(u),multiply(double_divide(v,w),double_divide(x,double_divide(x,multiply(u,v))))),w),
inference(spr,[status(thm),theory(equality)],[157,33]),
[iquote('0:SpR:157.0,33.0')] ).
cnf(213,plain,
equal(double_divide(multiply(inverse(u),v),multiply(u,w)),double_divide(v,w)),
inference(spr,[status(thm),theory(equality)],[157,33]),
[iquote('0:SpR:157.0,33.0')] ).
cnf(222,plain,
equal(multiply(double_divide(u,double_divide(u,inverse(v))),inverse(multiply(double_divide(multiply(w,x),v),w))),x),
inference(spr,[status(thm),theory(equality)],[58,157]),
[iquote('0:SpR:58.0,157.0')] ).
cnf(223,plain,
equal(multiply(double_divide(u,double_divide(u,v)),inverse(w)),multiply(multiply(double_divide(x,w),v),x)),
inference(spr,[status(thm),theory(equality)],[4,157]),
[iquote('0:SpR:4.0,157.0')] ).
cnf(225,plain,
equal(multiply(double_divide(u,double_divide(u,v)),inverse(double_divide(w,x))),multiply(x,multiply(v,w))),
inference(spr,[status(thm),theory(equality)],[9,157]),
[iquote('0:SpR:9.0,157.0')] ).
cnf(232,plain,
equal(multiply(double_divide(u,double_divide(u,v)),multiply(w,x)),multiply(w,multiply(v,x))),
inference(rew,[status(thm),theory(equality)],[2,225]),
[iquote('0:Rew:2.0,225.0')] ).
cnf(265,plain,
equal(multiply(u,multiply(multiply(double_divide(v,inverse(w)),x),v)),multiply(multiply(w,u),x)),
inference(spr,[status(thm),theory(equality)],[4,167]),
[iquote('0:SpR:4.0,167.0')] ).
cnf(272,plain,
equal(multiply(u,multiply(inverse(double_divide(v,w)),x)),multiply(multiply(w,multiply(u,v)),x)),
inference(spr,[status(thm),theory(equality)],[9,167]),
[iquote('0:SpR:9.0,167.0')] ).
cnf(279,plain,
equal(multiply(multiply(u,multiply(v,w)),x),multiply(v,multiply(multiply(u,w),x))),
inference(rew,[status(thm),theory(equality)],[2,272]),
[iquote('0:Rew:2.0,272.0')] ).
cnf(283,plain,
equal(multiply(double_divide(multiply(u,v),w),multiply(multiply(double_divide(inverse(w),x),u),v)),inverse(x)),
inference(rew,[status(thm),theory(equality)],[279,141]),
[iquote('0:Rew:279.0,141.0')] ).
cnf(416,plain,
equal(double_divide(multiply(inverse(double_divide(u,v)),w),x),double_divide(w,multiply(v,multiply(x,u)))),
inference(spr,[status(thm),theory(equality)],[9,213]),
[iquote('0:SpR:9.0,213.0')] ).
cnf(428,plain,
equal(double_divide(multiply(multiply(u,v),w),x),double_divide(w,multiply(u,multiply(x,v)))),
inference(rew,[status(thm),theory(equality)],[2,416]),
[iquote('0:Rew:2.0,416.0')] ).
cnf(431,plain,
equal(multiply(double_divide(u,multiply(double_divide(u,v),multiply(double_divide(multiply(w,x),double_divide(x,y)),w))),y),v),
inference(rew,[status(thm),theory(equality)],[428,113]),
[iquote('0:Rew:428.0,113.0')] ).
cnf(467,plain,
equal(multiply(double_divide(u,multiply(double_divide(u,v),w)),w),v),
inference(rew,[status(thm),theory(equality)],[15,431]),
[iquote('0:Rew:15.0,431.0')] ).
cnf(502,plain,
equal(multiply(double_divide(multiply(u,v),w),u),double_divide(v,w)),
inference(spr,[status(thm),theory(equality)],[467,33]),
[iquote('0:SpR:467.0,33.0')] ).
cnf(518,plain,
equal(multiply(double_divide(u,v),inverse(w)),double_divide(u,multiply(w,v))),
inference(spr,[status(thm),theory(equality)],[157,467]),
[iquote('0:SpR:157.0,467.0')] ).
cnf(521,plain,
equal(multiply(double_divide(u,v),multiply(w,multiply(v,u))),w),
inference(spr,[status(thm),theory(equality)],[9,467]),
[iquote('0:SpR:9.0,467.0')] ).
cnf(522,plain,
equal(multiply(double_divide(u,inverse(v)),multiply(w,u)),multiply(v,w)),
inference(spr,[status(thm),theory(equality)],[74,467]),
[iquote('0:SpR:74.0,467.0')] ).
cnf(524,plain,
equal(double_divide(u,double_divide(u,v)),v),
inference(rew,[status(thm),theory(equality)],[502,33]),
[iquote('0:Rew:502.0,33.0')] ).
cnf(525,plain,
equal(multiply(double_divide(u,v),u),inverse(v)),
inference(rew,[status(thm),theory(equality)],[502,58]),
[iquote('0:Rew:502.0,58.0')] ).
cnf(540,plain,
equal(multiply(double_divide(u,double_divide(u,inverse(v))),inverse(double_divide(w,v))),w),
inference(rew,[status(thm),theory(equality)],[502,222]),
[iquote('0:Rew:502.0,222.0')] ).
cnf(541,plain,
equal(double_divide(multiply(u,v),w),double_divide(v,multiply(w,u))),
inference(rew,[status(thm),theory(equality)],[502,65]),
[iquote('0:Rew:502.0,65.0')] ).
cnf(549,plain,
equal(multiply(multiply(u,v),inverse(u)),v),
inference(rew,[status(thm),theory(equality)],[524,157]),
[iquote('0:Rew:524.0,157.0')] ).
cnf(556,plain,
equal(multiply(multiply(double_divide(u,v),w),u),multiply(w,inverse(v))),
inference(rew,[status(thm),theory(equality)],[524,223]),
[iquote('0:Rew:524.0,223.0')] ).
cnf(557,plain,
equal(multiply(u,multiply(v,w)),multiply(v,multiply(u,w))),
inference(rew,[status(thm),theory(equality)],[524,232]),
[iquote('0:Rew:524.0,232.0')] ).
cnf(562,plain,
equal(double_divide(inverse(u),multiply(double_divide(v,w),multiply(u,v))),w),
inference(rew,[status(thm),theory(equality)],[524,201]),
[iquote('0:Rew:524.0,201.0')] ).
cnf(566,plain,
equal(multiply(multiply(double_divide(inverse(u),v),w),inverse(multiply(u,w))),inverse(v)),
inference(rew,[status(thm),theory(equality)],[525,196]),
[iquote('0:Rew:525.0,196.0')] ).
cnf(571,plain,
equal(multiply(double_divide(multiply(u,v),multiply(w,x)),multiply(w,u)),double_divide(v,x)),
inference(rew,[status(thm),theory(equality)],[541,12]),
[iquote('0:Rew:541.0,12.0')] ).
cnf(656,plain,
equal(multiply(double_divide(u,multiply(v,w)),multiply(multiply(double_divide(inverse(v),x),w),u)),inverse(x)),
inference(rew,[status(thm),theory(equality)],[541,283]),
[iquote('0:Rew:541.0,283.0')] ).
cnf(663,plain,
equal(multiply(u,multiply(double_divide(v,multiply(w,u)),v)),inverse(w)),
inference(rew,[status(thm),theory(equality)],[557,74]),
[iquote('0:Rew:557.0,74.0')] ).
cnf(685,plain,
equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w))),
inference(rew,[status(thm),theory(equality)],[522,197]),
[iquote('0:Rew:522.0,197.0')] ).
cnf(686,plain,
( ~ equal(multiply(b4,a4),multiply(a4,b4))
| ~ equal(multiply(inverse(b1),b1),multiply(inverse(a1),a1))
| ~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3)))
| ~ equal(multiply(inverse(b2),multiply(b2,a2)),a2) ),
inference(rew,[status(thm),theory(equality)],[685,3]),
[iquote('0:Rew:685.0,3.3')] ).
cnf(689,plain,
equal(multiply(u,multiply(v,inverse(u))),v),
inference(rew,[status(thm),theory(equality)],[685,549]),
[iquote('0:Rew:685.0,549.0')] ).
cnf(692,plain,
equal(multiply(double_divide(u,v),multiply(multiply(w,x),u)),multiply(w,multiply(double_divide(y,v),multiply(x,y)))),
inference(rew,[status(thm),theory(equality)],[685,198]),
[iquote('0:Rew:685.0,198.0')] ).
cnf(696,plain,
equal(multiply(u,multiply(multiply(double_divide(v,inverse(w)),x),v)),multiply(w,multiply(u,x))),
inference(rew,[status(thm),theory(equality)],[685,265]),
[iquote('0:Rew:685.0,265.0')] ).
cnf(716,plain,
equal(multiply(double_divide(u,v),multiply(w,u)),multiply(w,inverse(v))),
inference(rew,[status(thm),theory(equality)],[685,556]),
[iquote('0:Rew:685.0,556.0')] ).
cnf(717,plain,
equal(multiply(u,inverse(inverse(v))),multiply(v,u)),
inference(rew,[status(thm),theory(equality)],[716,522]),
[iquote('0:Rew:716.0,522.0')] ).
cnf(723,plain,
equal(double_divide(inverse(u),multiply(u,inverse(v))),v),
inference(rew,[status(thm),theory(equality)],[716,562]),
[iquote('0:Rew:716.0,562.0')] ).
cnf(730,plain,
equal(multiply(u,inverse(multiply(v,u))),inverse(v)),
inference(rew,[status(thm),theory(equality)],[525,663]),
[iquote('0:Rew:525.0,663.0')] ).
cnf(734,plain,
equal(multiply(double_divide(u,double_divide(u,inverse(v))),multiply(v,w)),w),
inference(rew,[status(thm),theory(equality)],[2,540]),
[iquote('0:Rew:2.0,540.0')] ).
cnf(735,plain,
equal(multiply(u,multiply(inverse(u),v)),v),
inference(rew,[status(thm),theory(equality)],[557,734,524]),
[iquote('0:Rew:557.0,734.0,524.0,734.0')] ).
cnf(744,plain,
equal(double_divide(inverse(u),multiply(u,v)),inverse(v)),
inference(rew,[status(thm),theory(equality)],[518,566,730,685]),
[iquote('0:Rew:518.0,566.0,730.0,566.0,685.0,566.0')] ).
cnf(745,plain,
equal(inverse(inverse(u)),u),
inference(rew,[status(thm),theory(equality)],[744,723]),
[iquote('0:Rew:744.0,723.0')] ).
cnf(746,plain,
equal(multiply(u,v),multiply(v,u)),
inference(rew,[status(thm),theory(equality)],[745,717]),
[iquote('0:Rew:745.0,717.0')] ).
cnf(763,plain,
equal(multiply(u,multiply(v,double_divide(w,multiply(u,multiply(x,v))))),double_divide(w,x)),
inference(rew,[status(thm),theory(equality)],[685,571,746,541]),
[iquote('0:Rew:685.0,571.0,746.0,571.0,685.0,571.0,541.0,571.0')] ).
cnf(814,plain,
equal(multiply(u,multiply(v,w)),multiply(w,multiply(u,v))),
inference(rew,[status(thm),theory(equality)],[745,696,716,685]),
[iquote('0:Rew:745.0,696.0,716.0,696.0,685.0,696.0')] ).
cnf(815,plain,
equal(multiply(u,multiply(double_divide(u,v),w)),multiply(w,inverse(v))),
inference(rew,[status(thm),theory(equality)],[814,716]),
[iquote('0:Rew:814.0,716.0')] ).
cnf(829,plain,
equal(multiply(u,inverse(multiply(u,v))),inverse(v)),
inference(rew,[status(thm),theory(equality)],[744,656,685,518,815,814]),
[iquote('0:Rew:744.0,656.0,685.0,656.0,518.0,656.0,815.0,656.0,685.0,656.0,814.0,656.0,685.0,656.0')] ).
cnf(861,plain,
equal(multiply(double_divide(u,v),multiply(w,multiply(x,u))),multiply(w,multiply(x,inverse(v)))),
inference(rew,[status(thm),theory(equality)],[685,692,815,814]),
[iquote('0:Rew:685.0,692.0,815.0,692.0,814.0,692.0')] ).
cnf(862,plain,
equal(multiply(u,multiply(v,inverse(v))),u),
inference(rew,[status(thm),theory(equality)],[861,521]),
[iquote('0:Rew:861.0,521.0')] ).
cnf(941,plain,
( ~ equal(multiply(a4,b4),multiply(a4,b4))
| ~ equal(multiply(b1,inverse(b1)),multiply(a1,inverse(a1)))
| ~ equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3)))
| ~ equal(a2,a2) ),
inference(rew,[status(thm),theory(equality)],[689,686,814,685,746]),
[iquote('0:Rew:689.0,686.3,814.0,686.3,685.0,686.2,746.0,686.1,746.0,686.1,746.0,686.0')] ).
cnf(942,plain,
~ equal(multiply(b1,inverse(b1)),multiply(a1,inverse(a1))),
inference(obv,[status(thm),theory(equality)],[941]),
[iquote('0:Obv:941.3')] ).
cnf(945,plain,
equal(inverse(multiply(u,v)),double_divide(v,u)),
inference(spr,[status(thm),theory(equality)],[2,745]),
[iquote('0:SpR:2.0,745.0')] ).
cnf(956,plain,
equal(multiply(u,double_divide(v,u)),inverse(v)),
inference(rew,[status(thm),theory(equality)],[945,829]),
[iquote('0:Rew:945.0,829.0')] ).
cnf(1035,plain,
equal(multiply(u,multiply(v,double_divide(w,v))),double_divide(w,inverse(u))),
inference(spr,[status(thm),theory(equality)],[735,763]),
[iquote('0:SpR:735.0,763.0')] ).
cnf(1049,plain,
equal(multiply(u,inverse(v)),double_divide(v,inverse(u))),
inference(rew,[status(thm),theory(equality)],[956,1035]),
[iquote('0:Rew:956.0,1035.0')] ).
cnf(1051,plain,
~ equal(multiply(a1,inverse(a1)),double_divide(b1,inverse(b1))),
inference(rew,[status(thm),theory(equality)],[1049,942]),
[iquote('0:Rew:1049.0,942.0')] ).
cnf(1055,plain,
equal(multiply(u,double_divide(v,inverse(v))),u),
inference(rew,[status(thm),theory(equality)],[1049,862]),
[iquote('0:Rew:1049.0,862.0')] ).
cnf(1063,plain,
~ equal(double_divide(b1,inverse(b1)),double_divide(a1,inverse(a1))),
inference(rew,[status(thm),theory(equality)],[1049,1051]),
[iquote('0:Rew:1049.0,1051.0')] ).
cnf(1117,plain,
equal(multiply(double_divide(u,inverse(u)),v),v),
inference(spr,[status(thm),theory(equality)],[1055,746]),
[iquote('0:SpR:1055.0,746.0')] ).
cnf(1144,plain,
equal(double_divide(u,inverse(u)),double_divide(v,inverse(v))),
inference(spr,[status(thm),theory(equality)],[1117,1055]),
[iquote('0:SpR:1117.0,1055.0')] ).
cnf(1150,plain,
$false,
inference(unc,[status(thm)],[1144,1063]),
[iquote('0:UnC:1144.0,1063.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : GRP108-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.04/0.09 % Command : run_spass %d %s
% 0.09/0.29 % Computer : n022.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Mon Jun 13 10:01:03 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.48/0.68
% 0.48/0.68 SPASS V 3.9
% 0.48/0.68 SPASS beiseite: Proof found.
% 0.48/0.68 % SZS status Theorem
% 0.48/0.68 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.68 SPASS derived 775 clauses, backtracked 0 clauses, performed 0 splits and kept 449 clauses.
% 0.48/0.68 SPASS allocated 65345 KBytes.
% 0.48/0.68 SPASS spent 0:00:00.38 on the problem.
% 0.48/0.68 0:00:00.03 for the input.
% 0.48/0.68 0:00:00.00 for the FLOTTER CNF translation.
% 0.48/0.68 0:00:00.01 for inferences.
% 0.48/0.68 0:00:00.00 for the backtracking.
% 0.48/0.68 0:00:00.32 for the reduction.
% 0.48/0.68
% 0.48/0.68
% 0.48/0.68 Here is a proof with depth 9, length 88 :
% 0.48/0.68 % SZS output start Refutation
% See solution above
% 0.48/0.70 Formulae used in the proof : single_axiom multiply prove_these_axioms
% 0.48/0.70
%------------------------------------------------------------------------------