TSTP Solution File: GRP100-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP100-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.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 11:45:18 EDT 2022
% Result : Unsatisfiable 0.71s 0.86s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 5
% Syntax : Number of clauses : 104 ( 95 unt; 0 nHn; 104 RR)
% Number of literals : 123 ( 0 equ; 31 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(double_divide(double_divide(u,double_divide(double_divide(v,double_divide(u,w)),double_divide(w,identity))),double_divide(identity,identity)),v),
file('GRP100-1.p',unknown),
[] ).
cnf(2,axiom,
equal(double_divide(double_divide(u,v),identity),multiply(v,u)),
file('GRP100-1.p',unknown),
[] ).
cnf(3,axiom,
equal(double_divide(u,identity),inverse(u)),
file('GRP100-1.p',unknown),
[] ).
cnf(4,axiom,
equal(double_divide(u,inverse(u)),identity),
file('GRP100-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ equal(multiply(identity,a2),a2)
| ~ equal(multiply(b4,a4),multiply(a4,b4))
| ~ equal(multiply(inverse(a1),a1),identity)
| ~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),
file('GRP100-1.p',unknown),
[] ).
cnf(6,plain,
equal(inverse(double_divide(u,v)),multiply(v,u)),
inference(rew,[status(thm),theory(equality)],[3,2]),
[iquote('0:Rew:3.0,2.0')] ).
cnf(7,plain,
equal(double_divide(double_divide(u,double_divide(double_divide(v,double_divide(u,w)),inverse(w))),inverse(identity)),v),
inference(rew,[status(thm),theory(equality)],[3,1]),
[iquote('0:Rew:3.0,1.0,3.0,1.0')] ).
cnf(12,plain,
equal(multiply(inverse(u),u),inverse(identity)),
inference(spr,[status(thm),theory(equality)],[4,6]),
[iquote('0:SpR:4.0,6.0')] ).
cnf(13,plain,
equal(multiply(identity,u),inverse(inverse(u))),
inference(spr,[status(thm),theory(equality)],[3,6]),
[iquote('0:SpR:3.0,6.0')] ).
cnf(14,plain,
( ~ equal(multiply(identity,a2),a2)
| ~ equal(multiply(b4,a4),multiply(a4,b4))
| ~ equal(inverse(identity),identity)
| ~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),
inference(rew,[status(thm),theory(equality)],[12,5]),
[iquote('0:Rew:12.0,5.2')] ).
cnf(15,plain,
( ~ equal(inverse(inverse(a2)),a2)
| ~ equal(multiply(b4,a4),multiply(a4,b4))
| ~ equal(inverse(identity),identity)
| ~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),
inference(rew,[status(thm),theory(equality)],[13,14]),
[iquote('0:Rew:13.0,14.0')] ).
cnf(21,plain,
equal(double_divide(double_divide(u,double_divide(double_divide(v,double_divide(u,double_divide(w,x))),multiply(x,w))),inverse(identity)),v),
inference(spr,[status(thm),theory(equality)],[6,7]),
[iquote('0:SpR:6.0,7.0')] ).
cnf(22,plain,
equal(double_divide(double_divide(u,double_divide(double_divide(v,identity),inverse(inverse(u)))),inverse(identity)),v),
inference(spr,[status(thm),theory(equality)],[4,7]),
[iquote('0:SpR:4.0,7.0')] ).
cnf(23,plain,
equal(double_divide(double_divide(u,double_divide(double_divide(v,inverse(u)),inverse(identity))),inverse(identity)),v),
inference(spr,[status(thm),theory(equality)],[3,7]),
[iquote('0:SpR:3.0,7.0')] ).
cnf(24,plain,
equal(double_divide(double_divide(u,double_divide(inverse(v),inverse(inverse(u)))),inverse(identity)),v),
inference(rew,[status(thm),theory(equality)],[3,22]),
[iquote('0:Rew:3.0,22.0')] ).
cnf(66,plain,
equal(double_divide(double_divide(u,identity),inverse(identity)),u),
inference(spr,[status(thm),theory(equality)],[4,24]),
[iquote('0:SpR:4.0,24.0')] ).
cnf(67,plain,
equal(double_divide(inverse(u),inverse(identity)),u),
inference(rew,[status(thm),theory(equality)],[3,66]),
[iquote('0:Rew:3.0,66.0')] ).
cnf(72,plain,
equal(double_divide(double_divide(inverse(u),double_divide(double_divide(v,u),inverse(inverse(identity)))),inverse(identity)),v),
inference(spr,[status(thm),theory(equality)],[67,7]),
[iquote('0:SpR:67.0,7.0')] ).
cnf(75,plain,
equal(double_divide(multiply(u,v),inverse(identity)),double_divide(v,u)),
inference(spr,[status(thm),theory(equality)],[6,67]),
[iquote('0:SpR:6.0,67.0')] ).
cnf(86,plain,
equal(double_divide(double_divide(multiply(u,v),double_divide(double_divide(w,double_divide(v,u)),inverse(inverse(identity)))),inverse(identity)),w),
inference(spr,[status(thm),theory(equality)],[75,7]),
[iquote('0:SpR:75.0,7.0')] ).
cnf(116,plain,
equal(double_divide(double_divide(double_divide(u,v),double_divide(double_divide(w,multiply(v,u)),inverse(identity))),inverse(identity)),w),
inference(spr,[status(thm),theory(equality)],[6,23]),
[iquote('0:SpR:6.0,23.0')] ).
cnf(119,plain,
equal(double_divide(double_divide(identity,double_divide(u,inverse(identity))),inverse(identity)),double_divide(v,double_divide(inverse(u),inverse(inverse(v))))),
inference(spr,[status(thm),theory(equality)],[24,23]),
[iquote('0:SpR:24.0,23.0')] ).
cnf(120,plain,
equal(double_divide(double_divide(identity,double_divide(u,inverse(identity))),inverse(identity)),inverse(u)),
inference(spr,[status(thm),theory(equality)],[67,23]),
[iquote('0:SpR:67.0,23.0')] ).
cnf(126,plain,
equal(double_divide(u,double_divide(inverse(v),inverse(inverse(u)))),inverse(v)),
inference(rew,[status(thm),theory(equality)],[120,119]),
[iquote('0:Rew:120.0,119.0')] ).
cnf(138,plain,
equal(multiply(double_divide(inverse(u),inverse(inverse(v))),v),inverse(inverse(u))),
inference(spr,[status(thm),theory(equality)],[126,6]),
[iquote('0:SpR:126.0,6.0')] ).
cnf(149,plain,
equal(multiply(inverse(identity),double_divide(identity,double_divide(u,inverse(identity)))),inverse(inverse(u))),
inference(spr,[status(thm),theory(equality)],[120,6]),
[iquote('0:SpR:120.0,6.0')] ).
cnf(154,plain,
equal(double_divide(double_divide(identity,identity),inverse(identity)),inverse(identity)),
inference(spr,[status(thm),theory(equality)],[4,120]),
[iquote('0:SpR:4.0,120.0')] ).
cnf(155,plain,
equal(double_divide(double_divide(identity,u),inverse(identity)),inverse(inverse(u))),
inference(spr,[status(thm),theory(equality)],[67,120]),
[iquote('0:SpR:67.0,120.0')] ).
cnf(157,plain,
equal(inverse(identity),identity),
inference(rew,[status(thm),theory(equality)],[67,154,3]),
[iquote('0:Rew:67.0,154.0,3.0,154.0')] ).
cnf(158,plain,
equal(multiply(inverse(u),u),identity),
inference(rew,[status(thm),theory(equality)],[157,12]),
[iquote('0:Rew:157.0,12.0')] ).
cnf(160,plain,
( ~ equal(inverse(inverse(a2)),a2)
| ~ equal(multiply(b4,a4),multiply(a4,b4))
| ~ equal(identity,identity)
| ~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),
inference(rew,[status(thm),theory(equality)],[157,15]),
[iquote('0:Rew:157.0,15.2')] ).
cnf(161,plain,
equal(double_divide(inverse(u),identity),u),
inference(rew,[status(thm),theory(equality)],[157,67]),
[iquote('0:Rew:157.0,67.0')] ).
cnf(163,plain,
equal(double_divide(multiply(u,v),identity),double_divide(v,u)),
inference(rew,[status(thm),theory(equality)],[157,75]),
[iquote('0:Rew:157.0,75.0')] ).
cnf(166,plain,
equal(double_divide(double_divide(u,double_divide(double_divide(v,double_divide(u,double_divide(w,x))),multiply(x,w))),identity),v),
inference(rew,[status(thm),theory(equality)],[157,21]),
[iquote('0:Rew:157.0,21.0')] ).
cnf(167,plain,
equal(double_divide(double_divide(inverse(u),double_divide(double_divide(v,u),inverse(identity))),identity),v),
inference(rew,[status(thm),theory(equality)],[157,72]),
[iquote('0:Rew:157.0,72.0')] ).
cnf(168,plain,
equal(double_divide(double_divide(multiply(u,v),double_divide(double_divide(w,double_divide(v,u)),inverse(identity))),identity),w),
inference(rew,[status(thm),theory(equality)],[157,86]),
[iquote('0:Rew:157.0,86.0')] ).
cnf(169,plain,
equal(double_divide(double_divide(double_divide(u,v),double_divide(double_divide(w,multiply(v,u)),identity)),identity),w),
inference(rew,[status(thm),theory(equality)],[157,116]),
[iquote('0:Rew:157.0,116.0')] ).
cnf(171,plain,
equal(inverse(inverse(u)),u),
inference(rew,[status(thm),theory(equality)],[3,161]),
[iquote('0:Rew:3.0,161.0')] ).
cnf(172,plain,
equal(multiply(identity,u),u),
inference(rew,[status(thm),theory(equality)],[171,13]),
[iquote('0:Rew:171.0,13.0')] ).
cnf(174,plain,
equal(multiply(double_divide(inverse(u),v),v),inverse(inverse(u))),
inference(rew,[status(thm),theory(equality)],[171,138]),
[iquote('0:Rew:171.0,138.0')] ).
cnf(176,plain,
equal(inverse(multiply(u,v)),double_divide(v,u)),
inference(rew,[status(thm),theory(equality)],[3,163]),
[iquote('0:Rew:3.0,163.0')] ).
cnf(178,plain,
equal(double_divide(double_divide(identity,u),identity),u),
inference(rew,[status(thm),theory(equality)],[157,155,171]),
[iquote('0:Rew:157.0,155.0,171.0,155.0')] ).
cnf(179,plain,
equal(multiply(u,identity),u),
inference(rew,[status(thm),theory(equality)],[6,178,3]),
[iquote('0:Rew:6.0,178.0,3.0,178.0')] ).
cnf(181,plain,
equal(multiply(double_divide(inverse(u),v),v),u),
inference(rew,[status(thm),theory(equality)],[171,174]),
[iquote('0:Rew:171.0,174.0')] ).
cnf(183,plain,
equal(double_divide(identity,double_divide(u,identity)),u),
inference(rew,[status(thm),theory(equality)],[172,149,157,171]),
[iquote('0:Rew:172.0,149.0,157.0,149.0,171.0,149.0')] ).
cnf(184,plain,
equal(double_divide(identity,inverse(u)),u),
inference(rew,[status(thm),theory(equality)],[3,183]),
[iquote('0:Rew:3.0,183.0')] ).
cnf(187,plain,
equal(multiply(double_divide(double_divide(u,v),inverse(identity)),inverse(v)),u),
inference(rew,[status(thm),theory(equality)],[6,167,3]),
[iquote('0:Rew:6.0,167.0,3.0,167.0')] ).
cnf(188,plain,
equal(multiply(double_divide(double_divide(u,v),identity),inverse(v)),u),
inference(rew,[status(thm),theory(equality)],[157,187]),
[iquote('0:Rew:157.0,187.0')] ).
cnf(189,plain,
equal(multiply(multiply(u,v),inverse(u)),v),
inference(rew,[status(thm),theory(equality)],[6,188,3]),
[iquote('0:Rew:6.0,188.0,3.0,188.0')] ).
cnf(198,plain,
equal(multiply(multiply(multiply(u,v),w),double_divide(v,u)),w),
inference(rew,[status(thm),theory(equality)],[6,169,3]),
[iquote('0:Rew:6.0,169.0,3.0,169.0,6.0,169.0,3.0,169.0')] ).
cnf(199,plain,
equal(multiply(double_divide(double_divide(u,double_divide(v,w)),inverse(identity)),multiply(w,v)),u),
inference(rew,[status(thm),theory(equality)],[6,168,3]),
[iquote('0:Rew:6.0,168.0,3.0,168.0')] ).
cnf(200,plain,
equal(multiply(double_divide(double_divide(u,double_divide(v,w)),identity),multiply(w,v)),u),
inference(rew,[status(thm),theory(equality)],[157,199]),
[iquote('0:Rew:157.0,199.0')] ).
cnf(201,plain,
equal(multiply(multiply(double_divide(u,v),w),multiply(v,u)),w),
inference(rew,[status(thm),theory(equality)],[6,200,3]),
[iquote('0:Rew:6.0,200.0,3.0,200.0')] ).
cnf(202,plain,
equal(multiply(double_divide(double_divide(u,double_divide(v,double_divide(w,x))),multiply(x,w)),v),u),
inference(rew,[status(thm),theory(equality)],[6,166,3]),
[iquote('0:Rew:6.0,166.0,3.0,166.0')] ).
cnf(203,plain,
( ~ equal(inverse(inverse(a2)),a2)
| ~ equal(multiply(b4,a4),multiply(a4,b4))
| ~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),
inference(obv,[status(thm),theory(equality)],[160]),
[iquote('0:Obv:160.2')] ).
cnf(204,plain,
( ~ equal(a2,a2)
| ~ equal(multiply(b4,a4),multiply(a4,b4))
| ~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),
inference(rew,[status(thm),theory(equality)],[171,203]),
[iquote('0:Rew:171.0,203.0')] ).
cnf(205,plain,
( ~ equal(multiply(b4,a4),multiply(a4,b4))
| ~ equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),
inference(obv,[status(thm),theory(equality)],[204]),
[iquote('0:Obv:204.0')] ).
cnf(233,plain,
equal(double_divide(identity,u),inverse(u)),
inference(spr,[status(thm),theory(equality)],[171,184]),
[iquote('0:SpR:171.0,184.0')] ).
cnf(240,plain,
equal(double_divide(double_divide(u,double_divide(identity,double_divide(v,w))),multiply(w,v)),u),
inference(spr,[status(thm),theory(equality)],[202,179]),
[iquote('0:SpR:202.0,179.0')] ).
cnf(244,plain,
equal(multiply(double_divide(double_divide(u,double_divide(v,double_divide(w,inverse(w)))),identity),v),u),
inference(spr,[status(thm),theory(equality)],[158,202]),
[iquote('0:SpR:158.0,202.0')] ).
cnf(249,plain,
equal(double_divide(double_divide(u,inverse(double_divide(v,w))),multiply(w,v)),u),
inference(rew,[status(thm),theory(equality)],[233,240]),
[iquote('0:Rew:233.0,240.0')] ).
cnf(250,plain,
equal(double_divide(double_divide(u,multiply(v,w)),multiply(v,w)),u),
inference(rew,[status(thm),theory(equality)],[6,249]),
[iquote('0:Rew:6.0,249.0')] ).
cnf(253,plain,
equal(multiply(multiply(inverse(u),v),u),v),
inference(rew,[status(thm),theory(equality)],[6,244,3,4]),
[iquote('0:Rew:6.0,244.0,3.0,244.0,3.0,244.0,4.0,244.0')] ).
cnf(339,plain,
equal(multiply(double_divide(u,v),v),inverse(u)),
inference(spr,[status(thm),theory(equality)],[171,181]),
[iquote('0:SpR:171.0,181.0')] ).
cnf(355,plain,
equal(multiply(u,inverse(multiply(v,u))),inverse(v)),
inference(spr,[status(thm),theory(equality)],[189]),
[iquote('0:SpR:189.0,189.0')] ).
cnf(371,plain,
equal(multiply(u,double_divide(u,v)),inverse(v)),
inference(rew,[status(thm),theory(equality)],[176,355]),
[iquote('0:Rew:176.0,355.0')] ).
cnf(379,plain,
equal(double_divide(u,double_divide(v,u)),inverse(inverse(v))),
inference(spr,[status(thm),theory(equality)],[339,176]),
[iquote('0:SpR:339.0,176.0')] ).
cnf(380,plain,
equal(multiply(inverse(u),inverse(double_divide(u,v))),v),
inference(spr,[status(thm),theory(equality)],[339,189]),
[iquote('0:SpR:339.0,189.0')] ).
cnf(391,plain,
equal(double_divide(u,double_divide(v,u)),v),
inference(rew,[status(thm),theory(equality)],[171,379]),
[iquote('0:Rew:171.0,379.0')] ).
cnf(392,plain,
equal(multiply(inverse(u),multiply(v,u)),v),
inference(rew,[status(thm),theory(equality)],[6,380]),
[iquote('0:Rew:6.0,380.0')] ).
cnf(404,plain,
equal(multiply(double_divide(double_divide(u,v),multiply(w,v)),w),u),
inference(spr,[status(thm),theory(equality)],[391,202]),
[iquote('0:SpR:391.0,202.0')] ).
cnf(406,plain,
equal(double_divide(double_divide(u,v),u),v),
inference(spr,[status(thm),theory(equality)],[391]),
[iquote('0:SpR:391.0,391.0')] ).
cnf(495,plain,
equal(double_divide(inverse(u),v),multiply(inverse(v),u)),
inference(spr,[status(thm),theory(equality)],[371,253]),
[iquote('0:SpR:371.0,253.0')] ).
cnf(530,plain,
equal(multiply(u,multiply(v,inverse(u))),v),
inference(spr,[status(thm),theory(equality)],[171,392]),
[iquote('0:SpR:171.0,392.0')] ).
cnf(545,plain,
equal(double_divide(multiply(u,inverse(v)),v),inverse(u)),
inference(spr,[status(thm),theory(equality)],[530,176]),
[iquote('0:SpR:530.0,176.0')] ).
cnf(1539,plain,
equal(inverse(double_divide(u,multiply(v,w))),multiply(u,multiply(v,w))),
inference(spr,[status(thm),theory(equality)],[250,339]),
[iquote('0:SpR:250.0,339.0')] ).
cnf(1553,plain,
equal(double_divide(double_divide(u,v),v),u),
inference(spr,[status(thm),theory(equality)],[172,250]),
[iquote('0:SpR:172.0,250.0')] ).
cnf(1592,plain,
equal(double_divide(inverse(u),multiply(v,w)),multiply(u,inverse(multiply(v,w)))),
inference(spr,[status(thm),theory(equality)],[545,250]),
[iquote('0:SpR:545.0,250.0')] ).
cnf(1604,plain,
equal(multiply(multiply(u,v),w),multiply(w,multiply(u,v))),
inference(rew,[status(thm),theory(equality)],[6,1539]),
[iquote('0:Rew:6.0,1539.0')] ).
cnf(1605,plain,
equal(multiply(multiply(u,v),multiply(double_divide(v,u),w)),w),
inference(rew,[status(thm),theory(equality)],[1604,201]),
[iquote('0:Rew:1604.0,201.0')] ).
cnf(1606,plain,
equal(multiply(double_divide(u,v),multiply(multiply(v,u),w)),w),
inference(rew,[status(thm),theory(equality)],[1604,198]),
[iquote('0:Rew:1604.0,198.0')] ).
cnf(1608,plain,
( ~ equal(multiply(b4,a4),multiply(a4,b4))
| ~ equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) ),
inference(rew,[status(thm),theory(equality)],[1604,205]),
[iquote('0:Rew:1604.0,205.1')] ).
cnf(1609,plain,
equal(multiply(u,multiply(inverse(u),v)),v),
inference(rew,[status(thm),theory(equality)],[1604,253]),
[iquote('0:Rew:1604.0,253.0')] ).
cnf(1625,plain,
equal(multiply(double_divide(u,v),w),multiply(w,double_divide(u,v))),
inference(rew,[status(thm),theory(equality)],[176,1592,495]),
[iquote('0:Rew:176.0,1592.0,495.0,1592.0,176.0,1592.0')] ).
cnf(1628,plain,
equal(multiply(u,double_divide(double_divide(v,w),multiply(u,w))),v),
inference(rew,[status(thm),theory(equality)],[1625,404]),
[iquote('0:Rew:1625.0,404.0')] ).
cnf(1642,plain,
equal(double_divide(u,double_divide(u,v)),v),
inference(spr,[status(thm),theory(equality)],[1553,406]),
[iquote('0:SpR:1553.0,406.0')] ).
cnf(1647,plain,
equal(double_divide(u,v),double_divide(v,u)),
inference(spr,[status(thm),theory(equality)],[1553,391]),
[iquote('0:SpR:1553.0,391.0')] ).
cnf(1691,plain,
equal(inverse(double_divide(u,v)),multiply(u,v)),
inference(spr,[status(thm),theory(equality)],[1642,371]),
[iquote('0:SpR:1642.0,371.0')] ).
cnf(1717,plain,
equal(multiply(u,v),multiply(v,u)),
inference(rew,[status(thm),theory(equality)],[6,1691]),
[iquote('0:Rew:6.0,1691.0')] ).
cnf(1719,plain,
( ~ equal(multiply(a4,b4),multiply(a4,b4))
| ~ equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) ),
inference(rew,[status(thm),theory(equality)],[1717,1608]),
[iquote('0:Rew:1717.0,1608.0')] ).
cnf(1738,plain,
~ equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))),
inference(obv,[status(thm),theory(equality)],[1719]),
[iquote('0:Obv:1719.0')] ).
cnf(1964,plain,
equal(multiply(double_divide(u,v),multiply(multiply(u,v),w)),w),
inference(spr,[status(thm),theory(equality)],[1717,1606]),
[iquote('0:SpR:1717.0,1606.0')] ).
cnf(3089,plain,
equal(multiply(u,double_divide(double_divide(v,double_divide(u,w)),inverse(w))),v),
inference(spr,[status(thm),theory(equality)],[371,1628]),
[iquote('0:SpR:371.0,1628.0')] ).
cnf(3140,plain,
equal(multiply(u,multiply(v,multiply(double_divide(u,v),w))),w),
inference(rew,[status(thm),theory(equality)],[1717,3089,6,495,1647]),
[iquote('0:Rew:1717.0,3089.0,6.0,3089.0,495.0,3089.0,1647.0,3089.0')] ).
cnf(3228,plain,
equal(multiply(multiply(u,v),w),multiply(multiply(v,u),w)),
inference(spr,[status(thm),theory(equality)],[1964,1605]),
[iquote('0:SpR:1964.0,1605.0')] ).
cnf(4985,plain,
equal(multiply(u,inverse(double_divide(v,w))),multiply(v,multiply(w,u))),
inference(spr,[status(thm),theory(equality)],[530,3140]),
[iquote('0:SpR:530.0,3140.0')] ).
cnf(4986,plain,
equal(multiply(inverse(double_divide(u,v)),w),multiply(u,multiply(v,w))),
inference(spr,[status(thm),theory(equality)],[1609,3140]),
[iquote('0:SpR:1609.0,3140.0')] ).
cnf(5015,plain,
equal(multiply(u,multiply(v,w)),multiply(w,multiply(v,u))),
inference(rew,[status(thm),theory(equality)],[6,4985]),
[iquote('0:Rew:6.0,4985.0')] ).
cnf(5016,plain,
~ equal(multiply(b3,multiply(a3,c3)),multiply(a3,multiply(b3,c3))),
inference(rew,[status(thm),theory(equality)],[5015,1738]),
[iquote('0:Rew:5015.0,1738.0')] ).
cnf(5022,plain,
equal(multiply(multiply(u,v),w),multiply(v,multiply(u,w))),
inference(rew,[status(thm),theory(equality)],[6,4986]),
[iquote('0:Rew:6.0,4986.0')] ).
cnf(5029,plain,
equal(multiply(multiply(u,v),w),multiply(u,multiply(v,w))),
inference(rew,[status(thm),theory(equality)],[5022,3228]),
[iquote('0:Rew:5022.0,3228.0')] ).
cnf(5067,plain,
equal(multiply(u,multiply(v,w)),multiply(v,multiply(u,w))),
inference(rew,[status(thm),theory(equality)],[5022,5029]),
[iquote('0:Rew:5022.0,5029.0')] ).
cnf(5082,plain,
~ equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))),
inference(rew,[status(thm),theory(equality)],[5067,5016]),
[iquote('0:Rew:5067.0,5016.0')] ).
cnf(5083,plain,
$false,
inference(obv,[status(thm),theory(equality)],[5082]),
[iquote('0:Obv:5082.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP100-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.15/0.35 % Computer : n013.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Tue Jun 14 11:30:44 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.71/0.86
% 0.71/0.86 SPASS V 3.9
% 0.71/0.86 SPASS beiseite: Proof found.
% 0.71/0.86 % SZS status Theorem
% 0.71/0.86 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.71/0.86 SPASS derived 2634 clauses, backtracked 0 clauses, performed 0 splits and kept 344 clauses.
% 0.71/0.86 SPASS allocated 67412 KBytes.
% 0.71/0.86 SPASS spent 0:00:00.50 on the problem.
% 0.71/0.86 0:00:00.04 for the input.
% 0.71/0.86 0:00:00.00 for the FLOTTER CNF translation.
% 0.71/0.86 0:00:00.02 for inferences.
% 0.71/0.86 0:00:00.00 for the backtracking.
% 0.71/0.86 0:00:00.42 for the reduction.
% 0.71/0.86
% 0.71/0.86
% 0.71/0.86 Here is a proof with depth 10, length 104 :
% 0.71/0.86 % SZS output start Refutation
% See solution above
% 0.73/0.89 Formulae used in the proof : single_axiom multiply inverse identity prove_these_axioms
% 0.73/0.89
%------------------------------------------------------------------------------