TSTP Solution File: GRP599-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP599-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 11:48:13 EDT 2022
% Result : Unsatisfiable 1.61s 1.78s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 3
% Syntax : Number of clauses : 88 ( 88 unt; 0 nHn; 88 RR)
% Number of literals : 88 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 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(double_divide(u,v),inverse(double_divide(u,inverse(double_divide(inverse(w),v))))),w),
file('GRP599-1.p',unknown),
[] ).
cnf(2,axiom,
equal(inverse(double_divide(u,v)),multiply(v,u)),
file('GRP599-1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))),
file('GRP599-1.p',unknown),
[] ).
cnf(4,plain,
equal(double_divide(double_divide(u,v),multiply(multiply(v,inverse(w)),u)),w),
inference(rew,[status(thm),theory(equality)],[2,1]),
[iquote('0:Rew:2.0,1.0,2.0,1.0')] ).
cnf(6,plain,
equal(multiply(multiply(multiply(u,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(u,multiply(multiply(multiply(multiply(v,inverse(u)),w),inverse(x)),double_divide(w,v))),x),
inference(spr,[status(thm),theory(equality)],[4]),
[iquote('0:SpR:4.0,4.0')] ).
cnf(9,plain,
equal(double_divide(double_divide(u,v),multiply(multiply(v,multiply(w,x)),u)),double_divide(x,w)),
inference(spr,[status(thm),theory(equality)],[2,4]),
[iquote('0:SpR:2.0,4.0')] ).
cnf(10,plain,
equal(double_divide(double_divide(double_divide(inverse(u),v),multiply(v,inverse(w))),inverse(w)),u),
inference(spr,[status(thm),theory(equality)],[6,4]),
[iquote('0:SpR:6.0,4.0')] ).
cnf(13,plain,
equal(multiply(multiply(multiply(multiply(multiply(u,inverse(v)),w),inverse(x)),double_divide(w,u)),v),inverse(x)),
inference(spr,[status(thm),theory(equality)],[4,6]),
[iquote('0:SpR:4.0,6.0')] ).
cnf(21,plain,
equal(double_divide(double_divide(double_divide(multiply(u,v),w),multiply(w,inverse(x))),inverse(x)),double_divide(v,u)),
inference(spr,[status(thm),theory(equality)],[6,9]),
[iquote('0:SpR:6.0,9.0')] ).
cnf(22,plain,
equal(double_divide(u,multiply(multiply(multiply(multiply(v,inverse(u)),w),multiply(x,y)),double_divide(w,v))),double_divide(y,x)),
inference(spr,[status(thm),theory(equality)],[4,9]),
[iquote('0:SpR:4.0,9.0')] ).
cnf(77,plain,
equal(double_divide(u,multiply(multiply(multiply(multiply(multiply(multiply(v,multiply(w,x)),y),inverse(u)),double_divide(y,v)),inverse(z)),double_divide(x,w))),z),
inference(spr,[status(thm),theory(equality)],[9,7]),
[iquote('0:SpR:9.0,7.0')] ).
cnf(87,plain,
equal(double_divide(u,multiply(multiply(multiply(multiply(inverse(v),inverse(u)),double_divide(double_divide(multiply(w,x),y),multiply(y,inverse(v)))),inverse(z)),double_divide(x,w))),z),
inference(spr,[status(thm),theory(equality)],[21,7]),
[iquote('0:SpR:21.0,7.0')] ).
cnf(145,plain,
equal(double_divide(u,multiply(inverse(u),double_divide(double_divide(v,w),multiply(multiply(w,inverse(inverse(x))),v)))),x),
inference(spr,[status(thm),theory(equality)],[13,7]),
[iquote('0:SpR:13.0,7.0')] ).
cnf(146,plain,
equal(multiply(multiply(inverse(u),double_divide(double_divide(v,w),multiply(multiply(w,inverse(inverse(x))),v))),u),inverse(x)),
inference(spr,[status(thm),theory(equality)],[13]),
[iquote('0:SpR:13.0,13.0')] ).
cnf(170,plain,
equal(double_divide(u,multiply(inverse(u),inverse(v))),v),
inference(rew,[status(thm),theory(equality)],[4,145]),
[iquote('0:Rew:4.0,145.0')] ).
cnf(171,plain,
equal(multiply(multiply(inverse(u),inverse(v)),u),inverse(v)),
inference(rew,[status(thm),theory(equality)],[4,146]),
[iquote('0:Rew:4.0,146.0')] ).
cnf(177,plain,
equal(double_divide(double_divide(double_divide(u,v),multiply(multiply(multiply(multiply(multiply(w,inverse(inverse(x))),y),multiply(v,u)),double_divide(y,w)),inverse(z))),inverse(z)),x),
inference(spr,[status(thm),theory(equality)],[22,10]),
[iquote('0:SpR:22.0,10.0')] ).
cnf(231,plain,
equal(double_divide(double_divide(u,v),multiply(multiply(v,u),inverse(w))),w),
inference(spr,[status(thm),theory(equality)],[2,170]),
[iquote('0:SpR:2.0,170.0')] ).
cnf(240,plain,
equal(double_divide(double_divide(u,inverse(u)),inverse(v)),v),
inference(spr,[status(thm),theory(equality)],[171,4]),
[iquote('0:SpR:171.0,4.0')] ).
cnf(242,plain,
equal(multiply(inverse(u),double_divide(v,inverse(v))),inverse(u)),
inference(spr,[status(thm),theory(equality)],[171,6]),
[iquote('0:SpR:171.0,6.0')] ).
cnf(273,plain,
equal(double_divide(double_divide(u,inverse(u)),multiply(v,w)),double_divide(w,v)),
inference(spr,[status(thm),theory(equality)],[2,240]),
[iquote('0:SpR:2.0,240.0')] ).
cnf(416,plain,
equal(double_divide(double_divide(inverse(u),inverse(inverse(v))),inverse(u)),v),
inference(spr,[status(thm),theory(equality)],[171,231]),
[iquote('0:SpR:171.0,231.0')] ).
cnf(464,plain,
equal(double_divide(double_divide(inverse(u),inverse(multiply(v,w))),inverse(u)),double_divide(w,v)),
inference(spr,[status(thm),theory(equality)],[2,416]),
[iquote('0:SpR:2.0,416.0')] ).
cnf(635,plain,
equal(double_divide(inverse(u),multiply(inverse(v),v)),u),
inference(spr,[status(thm),theory(equality)],[273,231]),
[iquote('0:SpR:273.0,231.0')] ).
cnf(694,plain,
equal(multiply(multiply(inverse(u),u),inverse(v)),inverse(v)),
inference(spr,[status(thm),theory(equality)],[635,2]),
[iquote('0:SpR:635.0,2.0')] ).
cnf(695,plain,
equal(double_divide(u,multiply(multiply(multiply(inverse(v),v),inverse(w)),inverse(u))),w),
inference(spr,[status(thm),theory(equality)],[635,4]),
[iquote('0:SpR:635.0,4.0')] ).
cnf(704,plain,
equal(multiply(multiply(multiply(multiply(inverse(u),u),inverse(v)),inverse(w)),w),inverse(v)),
inference(spr,[status(thm),theory(equality)],[635,6]),
[iquote('0:SpR:635.0,6.0')] ).
cnf(717,plain,
equal(double_divide(u,multiply(inverse(v),inverse(u))),v),
inference(rew,[status(thm),theory(equality)],[694,695]),
[iquote('0:Rew:694.0,695.0')] ).
cnf(720,plain,
equal(multiply(multiply(inverse(u),inverse(v)),v),inverse(u)),
inference(rew,[status(thm),theory(equality)],[694,704]),
[iquote('0:Rew:694.0,704.0')] ).
cnf(753,plain,
equal(inverse(inverse(u)),u),
inference(spr,[status(thm),theory(equality)],[717,635]),
[iquote('0:SpR:717.0,635.0')] ).
cnf(756,plain,
equal(double_divide(double_divide(inverse(u),v),inverse(u)),v),
inference(rew,[status(thm),theory(equality)],[753,416]),
[iquote('0:Rew:753.0,416.0')] ).
cnf(787,plain,
equal(double_divide(double_divide(double_divide(u,v),multiply(multiply(multiply(multiply(multiply(w,x),y),multiply(v,u)),double_divide(y,w)),inverse(z))),inverse(z)),x),
inference(rew,[status(thm),theory(equality)],[753,177]),
[iquote('0:Rew:753.0,177.0')] ).
cnf(813,plain,
equal(inverse(multiply(u,v)),double_divide(v,u)),
inference(rew,[status(thm),theory(equality)],[756,464]),
[iquote('0:Rew:756.0,464.0')] ).
cnf(931,plain,
equal(double_divide(double_divide(u,v),multiply(multiply(v,w),u)),inverse(w)),
inference(spr,[status(thm),theory(equality)],[753,4]),
[iquote('0:SpR:753.0,4.0')] ).
cnf(940,plain,
equal(multiply(multiply(inverse(u),v),u),v),
inference(spr,[status(thm),theory(equality)],[753,171]),
[iquote('0:SpR:753.0,171.0')] ).
cnf(941,plain,
equal(double_divide(double_divide(u,inverse(u)),v),inverse(v)),
inference(spr,[status(thm),theory(equality)],[753,240]),
[iquote('0:SpR:753.0,240.0')] ).
cnf(944,plain,
equal(double_divide(u,multiply(v,inverse(u))),inverse(v)),
inference(spr,[status(thm),theory(equality)],[753,717]),
[iquote('0:SpR:753.0,717.0')] ).
cnf(955,plain,
equal(multiply(u,double_divide(v,inverse(v))),u),
inference(spr,[status(thm),theory(equality)],[753,242]),
[iquote('0:SpR:753.0,242.0')] ).
cnf(993,plain,
equal(multiply(multiply(multiply(u,v),w),double_divide(v,u)),w),
inference(spr,[status(thm),theory(equality)],[2,940]),
[iquote('0:SpR:2.0,940.0')] ).
cnf(994,plain,
equal(multiply(multiply(u,v),inverse(u)),v),
inference(spr,[status(thm),theory(equality)],[753,940]),
[iquote('0:SpR:753.0,940.0')] ).
cnf(1040,plain,
equal(multiply(u,inverse(multiply(v,u))),inverse(v)),
inference(spr,[status(thm),theory(equality)],[994]),
[iquote('0:SpR:994.0,994.0')] ).
cnf(1049,plain,
equal(multiply(u,double_divide(u,v)),inverse(v)),
inference(rew,[status(thm),theory(equality)],[813,1040]),
[iquote('0:Rew:813.0,1040.0')] ).
cnf(1078,plain,
equal(double_divide(double_divide(u,v),u),inverse(inverse(v))),
inference(spr,[status(thm),theory(equality)],[1049,813]),
[iquote('0:SpR:1049.0,813.0')] ).
cnf(1079,plain,
equal(multiply(inverse(u),inverse(v)),double_divide(v,u)),
inference(spr,[status(thm),theory(equality)],[1049,994]),
[iquote('0:SpR:1049.0,994.0')] ).
cnf(1080,plain,
equal(multiply(inverse(u),v),double_divide(inverse(v),u)),
inference(spr,[status(thm),theory(equality)],[1049,940]),
[iquote('0:SpR:1049.0,940.0')] ).
cnf(1085,plain,
equal(double_divide(double_divide(u,v),u),v),
inference(rew,[status(thm),theory(equality)],[753,1078]),
[iquote('0:Rew:753.0,1078.0')] ).
cnf(1106,plain,
equal(multiply(double_divide(u,v),u),inverse(v)),
inference(rew,[status(thm),theory(equality)],[1079,720]),
[iquote('0:Rew:1079.0,720.0')] ).
cnf(1112,plain,
equal(double_divide(u,multiply(multiply(multiply(double_divide(u,v),double_divide(double_divide(multiply(w,x),y),multiply(y,inverse(v)))),inverse(z)),double_divide(x,w))),z),
inference(rew,[status(thm),theory(equality)],[1079,87]),
[iquote('0:Rew:1079.0,87.0')] ).
cnf(1288,plain,
equal(multiply(multiply(multiply(u,multiply(v,w)),x),inverse(y)),double_divide(y,multiply(double_divide(x,u),double_divide(w,v)))),
inference(spr,[status(thm),theory(equality)],[994,77]),
[iquote('0:SpR:994.0,77.0')] ).
cnf(1296,plain,
equal(double_divide(double_divide(double_divide(u,v),double_divide(w,multiply(double_divide(double_divide(x,y),multiply(multiply(y,z),x)),double_divide(u,v)))),inverse(w)),z),
inference(rew,[status(thm),theory(equality)],[1288,787]),
[iquote('0:Rew:1288.0,787.0')] ).
cnf(1338,plain,
equal(double_divide(double_divide(double_divide(u,v),double_divide(w,double_divide(inverse(double_divide(u,v)),x))),inverse(w)),x),
inference(rew,[status(thm),theory(equality)],[1080,1296,931]),
[iquote('0:Rew:1080.0,1296.0,931.0,1296.0')] ).
cnf(1339,plain,
equal(double_divide(double_divide(double_divide(u,v),double_divide(w,double_divide(multiply(v,u),x))),inverse(w)),x),
inference(rew,[status(thm),theory(equality)],[2,1338]),
[iquote('0:Rew:2.0,1338.0')] ).
cnf(1401,plain,
equal(double_divide(u,double_divide(v,u)),v),
inference(spr,[status(thm),theory(equality)],[1085]),
[iquote('0:SpR:1085.0,1085.0')] ).
cnf(1432,plain,
equal(double_divide(u,double_divide(u,v)),inverse(inverse(v))),
inference(spr,[status(thm),theory(equality)],[1106,813]),
[iquote('0:SpR:1106.0,813.0')] ).
cnf(1436,plain,
equal(multiply(u,double_divide(v,u)),inverse(v)),
inference(spr,[status(thm),theory(equality)],[1085,1106]),
[iquote('0:SpR:1085.0,1106.0')] ).
cnf(1437,plain,
equal(inverse(double_divide(u,v)),multiply(u,v)),
inference(spr,[status(thm),theory(equality)],[1401,1106]),
[iquote('0:SpR:1401.0,1106.0')] ).
cnf(1438,plain,
equal(multiply(u,v),multiply(v,u)),
inference(rew,[status(thm),theory(equality)],[2,1437]),
[iquote('0:Rew:2.0,1437.0')] ).
cnf(1440,plain,
~ equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))),
inference(rew,[status(thm),theory(equality)],[1438,3]),
[iquote('0:Rew:1438.0,3.0')] ).
cnf(1528,plain,
equal(double_divide(u,multiply(double_divide(v,w),multiply(multiply(double_divide(u,x),double_divide(double_divide(multiply(w,v),y),multiply(y,inverse(x)))),inverse(z)))),z),
inference(rew,[status(thm),theory(equality)],[1438,1112]),
[iquote('0:Rew:1438.0,1112.0')] ).
cnf(1575,plain,
equal(multiply(double_divide(u,v),multiply(multiply(v,u),w)),w),
inference(rew,[status(thm),theory(equality)],[1438,993]),
[iquote('0:Rew:1438.0,993.0')] ).
cnf(1586,plain,
equal(double_divide(u,double_divide(u,v)),v),
inference(rew,[status(thm),theory(equality)],[753,1432]),
[iquote('0:Rew:753.0,1432.0')] ).
cnf(1673,plain,
equal(inverse(multiply(u,v)),double_divide(u,v)),
inference(spr,[status(thm),theory(equality)],[1438,813]),
[iquote('0:SpR:1438.0,813.0')] ).
cnf(1684,plain,
equal(double_divide(u,v),double_divide(v,u)),
inference(rew,[status(thm),theory(equality)],[813,1673]),
[iquote('0:Rew:813.0,1673.0')] ).
cnf(1716,plain,
equal(double_divide(inverse(u),double_divide(double_divide(v,w),double_divide(u,double_divide(multiply(w,v),x)))),x),
inference(rew,[status(thm),theory(equality)],[1684,1339]),
[iquote('0:Rew:1684.0,1339.0')] ).
cnf(1972,plain,
equal(multiply(u,inverse(v)),double_divide(v,inverse(u))),
inference(spr,[status(thm),theory(equality)],[944,1586]),
[iquote('0:SpR:944.0,1586.0')] ).
cnf(2039,plain,
equal(double_divide(u,multiply(double_divide(v,w),multiply(multiply(double_divide(u,x),double_divide(double_divide(multiply(w,v),y),double_divide(x,inverse(y)))),inverse(z)))),z),
inference(rew,[status(thm),theory(equality)],[1972,1528]),
[iquote('0:Rew:1972.0,1528.0')] ).
cnf(2143,plain,
equal(double_divide(u,inverse(multiply(multiply(v,multiply(w,x)),y))),double_divide(u,multiply(double_divide(y,v),double_divide(x,w)))),
inference(rew,[status(thm),theory(equality)],[1972,1288]),
[iquote('0:Rew:1972.0,1288.0')] ).
cnf(2227,plain,
equal(double_divide(u,multiply(double_divide(v,w),double_divide(x,y))),double_divide(u,double_divide(v,multiply(w,multiply(y,x))))),
inference(rew,[status(thm),theory(equality)],[813,2143]),
[iquote('0:Rew:813.0,2143.0')] ).
cnf(2325,plain,
equal(double_divide(u,double_divide(v,multiply(w,double_divide(inverse(x),double_divide(u,multiply(y,multiply(double_divide(y,inverse(z)),double_divide(multiply(w,v),z)))))))),x),
inference(rew,[status(thm),theory(equality)],[2227,2039,1080,1972]),
[iquote('0:Rew:2227.0,2039.0,1080.0,2039.0,2227.0,2039.0,1972.0,2039.0')] ).
cnf(2464,plain,
equal(double_divide(inverse(u),double_divide(double_divide(v,w),double_divide(u,double_divide(multiply(v,w),x)))),x),
inference(spr,[status(thm),theory(equality)],[1438,1716]),
[iquote('0:SpR:1438.0,1716.0')] ).
cnf(2472,plain,
equal(double_divide(inverse(u),double_divide(double_divide(v,w),double_divide(u,x))),double_divide(x,multiply(w,v))),
inference(spr,[status(thm),theory(equality)],[1401,1716]),
[iquote('0:SpR:1401.0,1716.0')] ).
cnf(2498,plain,
equal(double_divide(double_divide(multiply(u,v),w),multiply(v,u)),w),
inference(rew,[status(thm),theory(equality)],[2472,2464]),
[iquote('0:Rew:2472.0,2464.0')] ).
cnf(2502,plain,
equal(double_divide(multiply(u,v),double_divide(multiply(v,u),w)),w),
inference(rew,[status(thm),theory(equality)],[1684,2498]),
[iquote('0:Rew:1684.0,2498.0')] ).
cnf(2580,plain,
equal(double_divide(inverse(u),double_divide(v,w)),multiply(multiply(w,v),u)),
inference(spr,[status(thm),theory(equality)],[2,1080]),
[iquote('0:SpR:2.0,1080.0')] ).
cnf(2582,plain,
equal(double_divide(inverse(u),multiply(v,w)),multiply(double_divide(w,v),u)),
inference(spr,[status(thm),theory(equality)],[813,1080]),
[iquote('0:SpR:813.0,1080.0')] ).
cnf(2594,plain,
equal(multiply(multiply(double_divide(u,v),double_divide(w,x)),u),double_divide(v,multiply(x,w))),
inference(rew,[status(thm),theory(equality)],[2580,2472]),
[iquote('0:Rew:2580.0,2472.0')] ).
cnf(2618,plain,
equal(double_divide(u,double_divide(v,multiply(w,multiply(multiply(multiply(x,multiply(double_divide(x,inverse(y)),double_divide(multiply(w,v),y))),u),z)))),z),
inference(rew,[status(thm),theory(equality)],[2580,2325]),
[iquote('0:Rew:2580.0,2325.0')] ).
cnf(2648,plain,
equal(multiply(u,multiply(double_divide(u,v),double_divide(w,x))),double_divide(v,multiply(x,w))),
inference(rew,[status(thm),theory(equality)],[1438,2594]),
[iquote('0:Rew:1438.0,2594.0')] ).
cnf(2692,plain,
equal(double_divide(u,double_divide(v,multiply(w,multiply(multiply(multiply(double_divide(multiply(w,v),x),x),u),y)))),y),
inference(rew,[status(thm),theory(equality)],[2582,2618,2648]),
[iquote('0:Rew:2582.0,2618.0,2648.0,2618.0')] ).
cnf(2693,plain,
equal(double_divide(u,double_divide(v,multiply(w,multiply(multiply(double_divide(v,w),u),x)))),x),
inference(rew,[status(thm),theory(equality)],[813,2692,1436,1438]),
[iquote('0:Rew:813.0,2692.0,1436.0,2692.0,1438.0,2692.0')] ).
cnf(2787,plain,
equal(double_divide(double_divide(u,inverse(u)),double_divide(v,multiply(w,multiply(double_divide(v,w),x)))),x),
inference(spr,[status(thm),theory(equality)],[955,2693]),
[iquote('0:SpR:955.0,2693.0')] ).
cnf(2808,plain,
equal(multiply(u,multiply(v,multiply(double_divide(u,v),w))),w),
inference(rew,[status(thm),theory(equality)],[1438,2787,2,941]),
[iquote('0:Rew:1438.0,2787.0,2.0,2787.0,941.0,2787.0')] ).
cnf(3873,plain,
equal(inverse(double_divide(multiply(u,v),w)),multiply(multiply(v,u),w)),
inference(spr,[status(thm),theory(equality)],[2502,1049]),
[iquote('0:SpR:2502.0,1049.0')] ).
cnf(3929,plain,
equal(multiply(u,multiply(v,w)),multiply(multiply(w,v),u)),
inference(rew,[status(thm),theory(equality)],[2,3873]),
[iquote('0:Rew:2.0,3873.0')] ).
cnf(4607,plain,
equal(multiply(multiply(u,v),w),multiply(v,multiply(u,w))),
inference(spr,[status(thm),theory(equality)],[1575,2808]),
[iquote('0:SpR:1575.0,2808.0')] ).
cnf(4645,plain,
equal(multiply(u,multiply(v,w)),multiply(v,multiply(w,u))),
inference(rew,[status(thm),theory(equality)],[4607,3929]),
[iquote('0:Rew:4607.0,3929.0')] ).
cnf(4668,plain,
$false,
inference(unc,[status(thm)],[4645,1440]),
[iquote('0:UnC:4645.0,1440.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP599-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 08:30:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.61/1.78
% 1.61/1.78 SPASS V 3.9
% 1.61/1.78 SPASS beiseite: Proof found.
% 1.61/1.78 % SZS status Theorem
% 1.61/1.78 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.61/1.78 SPASS derived 2777 clauses, backtracked 0 clauses, performed 0 splits and kept 1273 clauses.
% 1.61/1.78 SPASS allocated 73342 KBytes.
% 1.61/1.78 SPASS spent 0:00:01.43 on the problem.
% 1.61/1.78 0:00:00.03 for the input.
% 1.61/1.78 0:00:00.00 for the FLOTTER CNF translation.
% 1.61/1.78 0:00:00.02 for inferences.
% 1.61/1.78 0:00:00.00 for the backtracking.
% 1.61/1.78 0:00:01.35 for the reduction.
% 1.61/1.78
% 1.61/1.78
% 1.61/1.78 Here is a proof with depth 16, length 88 :
% 1.61/1.78 % SZS output start Refutation
% See solution above
% 1.66/1.83 Formulae used in the proof : single_axiom multiply prove_these_axioms_3
% 1.66/1.83
%------------------------------------------------------------------------------