TSTP Solution File: GRP667+6 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP667+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 11:48:52 EDT 2022
% Result : Theorem 105.31s 105.54s
% Output : Refutation 106.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 10
% Syntax : Number of clauses : 190 ( 190 unt; 0 nHn; 190 RR)
% Number of literals : 190 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(mult(u,unit),u),
file('GRP667+6.p',unknown),
[] ).
cnf(2,axiom,
equal(mult(unit,u),u),
file('GRP667+6.p',unknown),
[] ).
cnf(3,axiom,
equal(mult(u,ld(u,v)),v),
file('GRP667+6.p',unknown),
[] ).
cnf(4,axiom,
equal(ld(u,mult(u,v)),v),
file('GRP667+6.p',unknown),
[] ).
cnf(5,axiom,
equal(mult(rd(u,v),v),u),
file('GRP667+6.p',unknown),
[] ).
cnf(6,axiom,
equal(rd(mult(u,v),v),u),
file('GRP667+6.p',unknown),
[] ).
cnf(7,axiom,
equal(mult(f(u),f(u)),u),
file('GRP667+6.p',unknown),
[] ).
cnf(8,axiom,
equal(mult(mult(u,v),u),mult(u,mult(v,u))),
file('GRP667+6.p',unknown),
[] ).
cnf(10,axiom,
~ equal(mult(mult(mult(skc17,skc15),skc16),skc15),mult(skc17,mult(skc15,mult(skc16,skc15)))),
file('GRP667+6.p',unknown),
[] ).
cnf(13,axiom,
equal(mult(mult(u,mult(mult(v,w),v)),w),mult(mult(u,v),mult(mult(w,v),w))),
file('GRP667+6.p',unknown),
[] ).
cnf(16,plain,
equal(mult(mult(u,mult(v,mult(w,v))),w),mult(mult(u,v),mult(w,mult(v,w)))),
inference(rew,[status(thm),theory(equality)],[8,13]),
[iquote('0:Rew:8.0,13.0,8.0,13.0')] ).
cnf(22,plain,
equal(rd(u,u),unit),
inference(spr,[status(thm),theory(equality)],[2,6]),
[iquote('0:SpR:2.0,6.0')] ).
cnf(38,plain,
equal(ld(unit,u),u),
inference(spr,[status(thm),theory(equality)],[2,4]),
[iquote('0:SpR:2.0,4.0')] ).
cnf(39,plain,
equal(ld(u,u),unit),
inference(spr,[status(thm),theory(equality)],[1,4]),
[iquote('0:SpR:1.0,4.0')] ).
cnf(41,plain,
equal(ld(rd(u,v),u),v),
inference(spr,[status(thm),theory(equality)],[5,4]),
[iquote('0:SpR:5.0,4.0')] ).
cnf(43,plain,
equal(rd(u,ld(v,u)),v),
inference(spr,[status(thm),theory(equality)],[3,6]),
[iquote('0:SpR:3.0,6.0')] ).
cnf(63,plain,
equal(rd(mult(u,mult(v,u)),u),mult(u,v)),
inference(spr,[status(thm),theory(equality)],[8,6]),
[iquote('0:SpR:8.0,6.0')] ).
cnf(68,plain,
equal(mult(u,mult(ld(u,v),u)),mult(v,u)),
inference(spr,[status(thm),theory(equality)],[3,8]),
[iquote('0:SpR:3.0,8.0')] ).
cnf(69,plain,
equal(mult(f(u),mult(f(u),f(u))),mult(u,f(u))),
inference(spr,[status(thm),theory(equality)],[7,8]),
[iquote('0:SpR:7.0,8.0')] ).
cnf(70,plain,
equal(mult(rd(u,v),mult(v,rd(u,v))),mult(u,rd(u,v))),
inference(spr,[status(thm),theory(equality)],[5,8]),
[iquote('0:SpR:5.0,8.0')] ).
cnf(73,plain,
equal(mult(f(u),u),mult(u,f(u))),
inference(rew,[status(thm),theory(equality)],[7,69]),
[iquote('0:Rew:7.0,69.0')] ).
cnf(84,plain,
equal(rd(mult(u,f(u)),u),f(u)),
inference(spr,[status(thm),theory(equality)],[73,6]),
[iquote('0:SpR:73.0,6.0')] ).
cnf(86,plain,
equal(mult(mult(u,f(u)),f(u)),mult(f(u),mult(u,f(u)))),
inference(spr,[status(thm),theory(equality)],[73,8]),
[iquote('0:SpR:73.0,8.0')] ).
cnf(106,plain,
equal(rd(mult(u,v),u),mult(u,rd(v,u))),
inference(spr,[status(thm),theory(equality)],[5,63]),
[iquote('0:SpR:5.0,63.0')] ).
cnf(112,plain,
equal(mult(u,rd(f(u),u)),f(u)),
inference(rew,[status(thm),theory(equality)],[106,84]),
[iquote('0:Rew:106.0,84.0')] ).
cnf(122,plain,
equal(rd(f(u),u),ld(u,f(u))),
inference(spr,[status(thm),theory(equality)],[112,4]),
[iquote('0:SpR:112.0,4.0')] ).
cnf(129,plain,
equal(mult(ld(u,f(u)),u),f(u)),
inference(spr,[status(thm),theory(equality)],[122,5]),
[iquote('0:SpR:122.0,5.0')] ).
cnf(130,plain,
equal(ld(ld(u,f(u)),f(u)),u),
inference(spr,[status(thm),theory(equality)],[122,41]),
[iquote('0:SpR:122.0,41.0')] ).
cnf(137,plain,
equal(mult(ld(u,f(u)),mult(u,ld(u,f(u)))),mult(f(u),ld(u,f(u)))),
inference(spr,[status(thm),theory(equality)],[129,8]),
[iquote('0:SpR:129.0,8.0')] ).
cnf(139,plain,
equal(mult(ld(u,f(u)),f(u)),mult(f(u),ld(u,f(u)))),
inference(rew,[status(thm),theory(equality)],[3,137]),
[iquote('0:Rew:3.0,137.0')] ).
cnf(180,plain,
equal(mult(ld(u,v),u),ld(u,mult(v,u))),
inference(spr,[status(thm),theory(equality)],[68,4]),
[iquote('0:SpR:68.0,4.0')] ).
cnf(218,plain,
equal(mult(u,rd(unit,u)),rd(u,u)),
inference(spr,[status(thm),theory(equality)],[1,106]),
[iquote('0:SpR:1.0,106.0')] ).
cnf(219,plain,
equal(mult(u,rd(ld(u,v),u)),rd(v,u)),
inference(spr,[status(thm),theory(equality)],[3,106]),
[iquote('0:SpR:3.0,106.0')] ).
cnf(224,plain,
equal(mult(u,rd(unit,u)),unit),
inference(rew,[status(thm),theory(equality)],[22,218]),
[iquote('0:Rew:22.0,218.0')] ).
cnf(231,plain,
equal(rd(unit,u),ld(u,unit)),
inference(spr,[status(thm),theory(equality)],[224,4]),
[iquote('0:SpR:224.0,4.0')] ).
cnf(249,plain,
equal(ld(ld(u,unit),unit),u),
inference(spr,[status(thm),theory(equality)],[231,41]),
[iquote('0:SpR:231.0,41.0')] ).
cnf(332,plain,
equal(rd(ld(u,v),u),ld(u,rd(v,u))),
inference(spr,[status(thm),theory(equality)],[219,4]),
[iquote('0:SpR:219.0,4.0')] ).
cnf(437,plain,
equal(mult(mult(u,v),mult(u,mult(v,u))),mult(u,mult(mult(v,mult(u,v)),u))),
inference(spr,[status(thm),theory(equality)],[16,8]),
[iquote('0:SpR:16.0,8.0')] ).
cnf(438,plain,
equal(mult(mult(u,v),mult(unit,mult(v,unit))),mult(u,mult(v,mult(unit,v)))),
inference(spr,[status(thm),theory(equality)],[16,1]),
[iquote('0:SpR:16.0,1.0')] ).
cnf(439,plain,
equal(rd(mult(mult(u,v),mult(w,mult(v,w))),w),mult(u,mult(v,mult(w,v)))),
inference(spr,[status(thm),theory(equality)],[16,6]),
[iquote('0:SpR:16.0,6.0')] ).
cnf(450,plain,
equal(mult(mult(u,mult(v,mult(v,f(v)))),f(v)),mult(mult(u,v),mult(f(v),mult(v,f(v))))),
inference(spr,[status(thm),theory(equality)],[73,16]),
[iquote('0:SpR:73.0,16.0')] ).
cnf(454,plain,
equal(mult(mult(u,f(v)),mult(f(v),mult(f(v),f(v)))),mult(mult(u,mult(f(v),v)),f(v))),
inference(spr,[status(thm),theory(equality)],[7,16]),
[iquote('0:SpR:7.0,16.0')] ).
cnf(455,plain,
equal(mult(mult(u,v),mult(rd(w,v),mult(v,rd(w,v)))),mult(mult(u,mult(v,w)),rd(w,v))),
inference(spr,[status(thm),theory(equality)],[5,16]),
[iquote('0:SpR:5.0,16.0')] ).
cnf(457,plain,
equal(mult(mult(unit,u),mult(v,mult(u,v))),mult(mult(u,mult(v,u)),v)),
inference(spr,[status(thm),theory(equality)],[2,16]),
[iquote('0:SpR:2.0,16.0')] ).
cnf(461,plain,
equal(mult(mult(rd(u,mult(v,mult(w,v))),v),mult(w,mult(v,w))),mult(u,w)),
inference(spr,[status(thm),theory(equality)],[5,16]),
[iquote('0:SpR:5.0,16.0')] ).
cnf(462,plain,
equal(mult(mult(u,v),v),mult(u,mult(v,v))),
inference(rew,[status(thm),theory(equality)],[2,438,1]),
[iquote('0:Rew:2.0,438.0,1.0,438.0,2.0,438.0')] ).
cnf(463,plain,
equal(mult(f(u),mult(u,f(u))),mult(u,mult(f(u),f(u)))),
inference(rew,[status(thm),theory(equality)],[462,86]),
[iquote('0:Rew:462.0,86.0')] ).
cnf(464,plain,
equal(mult(f(u),mult(u,f(u))),mult(u,u)),
inference(rew,[status(thm),theory(equality)],[7,463]),
[iquote('0:Rew:7.0,463.0')] ).
cnf(469,plain,
equal(mult(mult(u,mult(v,u)),v),mult(u,mult(v,mult(u,v)))),
inference(rew,[status(thm),theory(equality)],[2,457]),
[iquote('0:Rew:2.0,457.0')] ).
cnf(470,plain,
equal(mult(mult(u,v),mult(u,mult(v,u))),mult(u,mult(v,mult(u,mult(v,u))))),
inference(rew,[status(thm),theory(equality)],[469,437]),
[iquote('0:Rew:469.0,437.0')] ).
cnf(471,plain,
equal(mult(mult(u,mult(v,w)),rd(w,v)),mult(mult(u,v),mult(w,rd(w,v)))),
inference(rew,[status(thm),theory(equality)],[70,455]),
[iquote('0:Rew:70.0,455.0')] ).
cnf(472,plain,
equal(mult(mult(u,mult(v,f(v))),f(v)),mult(mult(u,f(v)),mult(v,f(v)))),
inference(rew,[status(thm),theory(equality)],[73,454,7]),
[iquote('0:Rew:73.0,454.0,7.0,454.0,73.0,454.0')] ).
cnf(474,plain,
equal(mult(mult(u,mult(v,mult(v,f(v)))),f(v)),mult(mult(u,v),mult(v,v))),
inference(rew,[status(thm),theory(equality)],[464,450]),
[iquote('0:Rew:464.0,450.0')] ).
cnf(562,plain,
equal(rd(mult(u,mult(v,v)),v),mult(u,v)),
inference(spr,[status(thm),theory(equality)],[462,6]),
[iquote('0:SpR:462.0,6.0')] ).
cnf(568,plain,
equal(mult(mult(u,mult(v,v)),v),mult(mult(u,v),mult(v,v))),
inference(spr,[status(thm),theory(equality)],[462]),
[iquote('0:SpR:462.0,462.0')] ).
cnf(579,plain,
equal(mult(rd(u,v),mult(v,v)),mult(u,v)),
inference(spr,[status(thm),theory(equality)],[5,462]),
[iquote('0:SpR:5.0,462.0')] ).
cnf(770,plain,
equal(rd(mult(u,mult(v,mult(u,v))),v),mult(u,mult(v,u))),
inference(spr,[status(thm),theory(equality)],[469,6]),
[iquote('0:SpR:469.0,6.0')] ).
cnf(787,plain,
equal(mult(ld(u,v),mult(u,mult(ld(u,v),u))),mult(mult(ld(u,v),v),u)),
inference(spr,[status(thm),theory(equality)],[3,469]),
[iquote('0:SpR:3.0,469.0')] ).
cnf(807,plain,
equal(mult(mult(ld(u,v),v),u),mult(ld(u,v),mult(v,u))),
inference(rew,[status(thm),theory(equality)],[3,787,180]),
[iquote('0:Rew:3.0,787.0,180.0,787.0')] ).
cnf(967,plain,
equal(rd(mult(mult(u,f(v)),mult(v,f(v))),f(v)),mult(u,mult(v,f(v)))),
inference(spr,[status(thm),theory(equality)],[472,6]),
[iquote('0:SpR:472.0,6.0')] ).
cnf(973,plain,
equal(mult(mult(mult(u,f(v)),mult(v,f(v))),f(v)),mult(mult(u,mult(v,f(v))),mult(f(v),f(v)))),
inference(spr,[status(thm),theory(equality)],[472,462]),
[iquote('0:SpR:472.0,462.0')] ).
cnf(990,plain,
equal(mult(mult(u,mult(v,f(v))),v),mult(mult(u,v),mult(v,f(v)))),
inference(rew,[status(thm),theory(equality)],[7,973,462,472]),
[iquote('0:Rew:7.0,973.0,462.0,973.0,472.0,973.0,7.0,973.0')] ).
cnf(1002,plain,
equal(rd(mult(u,v),f(v)),mult(u,f(v))),
inference(spr,[status(thm),theory(equality)],[7,562]),
[iquote('0:SpR:7.0,562.0')] ).
cnf(1008,plain,
equal(mult(rd(u,mult(v,v)),v),rd(u,v)),
inference(spr,[status(thm),theory(equality)],[5,562]),
[iquote('0:SpR:5.0,562.0')] ).
cnf(1017,plain,
equal(ld(mult(u,f(v)),mult(u,v)),f(v)),
inference(spr,[status(thm),theory(equality)],[1002,41]),
[iquote('0:SpR:1002.0,41.0')] ).
cnf(1030,plain,
equal(mult(rd(u,v),f(v)),rd(u,f(v))),
inference(spr,[status(thm),theory(equality)],[5,1002]),
[iquote('0:SpR:5.0,1002.0')] ).
cnf(1231,plain,
equal(ld(u,mult(rd(u,f(v)),v)),f(v)),
inference(spr,[status(thm),theory(equality)],[5,1017]),
[iquote('0:SpR:5.0,1017.0')] ).
cnf(1277,plain,
equal(mult(ld(u,f(u)),f(u)),rd(f(u),f(u))),
inference(spr,[status(thm),theory(equality)],[122,1030]),
[iquote('0:SpR:122.0,1030.0')] ).
cnf(1280,plain,
equal(mult(ld(u,unit),f(u)),rd(unit,f(u))),
inference(spr,[status(thm),theory(equality)],[231,1030]),
[iquote('0:SpR:231.0,1030.0')] ).
cnf(1286,plain,
equal(mult(ld(u,unit),f(u)),ld(f(u),unit)),
inference(rew,[status(thm),theory(equality)],[231,1280]),
[iquote('0:Rew:231.0,1280.0')] ).
cnf(1289,plain,
equal(mult(ld(u,f(u)),f(u)),unit),
inference(rew,[status(thm),theory(equality)],[22,1277]),
[iquote('0:Rew:22.0,1277.0')] ).
cnf(1290,plain,
equal(mult(f(u),ld(u,f(u))),unit),
inference(rew,[status(thm),theory(equality)],[139,1289]),
[iquote('0:Rew:139.0,1289.0')] ).
cnf(1307,plain,
equal(ld(f(u),unit),ld(u,f(u))),
inference(spr,[status(thm),theory(equality)],[1290,4]),
[iquote('0:SpR:1290.0,4.0')] ).
cnf(1412,plain,
equal(mult(mult(u,rd(v,u)),mult(u,v)),mult(u,mult(rd(v,u),mult(u,v)))),
inference(spr,[status(thm),theory(equality)],[5,470]),
[iquote('0:SpR:5.0,470.0')] ).
cnf(1430,plain,
equal(mult(u,mult(ld(u,v),mult(u,mult(ld(u,v),u)))),mult(v,mult(u,mult(ld(u,v),u)))),
inference(spr,[status(thm),theory(equality)],[3,470]),
[iquote('0:SpR:3.0,470.0')] ).
cnf(1450,plain,
equal(mult(u,mult(ld(u,v),mult(v,u))),mult(v,mult(v,u))),
inference(rew,[status(thm),theory(equality)],[3,1430,180]),
[iquote('0:Rew:3.0,1430.0,180.0,1430.0')] ).
cnf(1528,plain,
equal(mult(u,ld(f(u),unit)),f(u)),
inference(spr,[status(thm),theory(equality)],[1307,3]),
[iquote('0:SpR:1307.0,3.0')] ).
cnf(1529,plain,
equal(mult(ld(f(u),unit),u),ld(u,mult(f(u),u))),
inference(spr,[status(thm),theory(equality)],[1307,180]),
[iquote('0:SpR:1307.0,180.0')] ).
cnf(1532,plain,
equal(ld(ld(f(u),unit),f(u)),u),
inference(spr,[status(thm),theory(equality)],[1307,130]),
[iquote('0:SpR:1307.0,130.0')] ).
cnf(1541,plain,
equal(mult(ld(f(u),unit),u),f(u)),
inference(rew,[status(thm),theory(equality)],[4,1529,73]),
[iquote('0:Rew:4.0,1529.0,73.0,1529.0')] ).
cnf(1552,plain,
equal(mult(ld(f(u),unit),mult(u,mult(ld(f(u),unit),u))),mult(mult(ld(f(u),unit),f(u)),u)),
inference(spr,[status(thm),theory(equality)],[1528,469]),
[iquote('0:SpR:1528.0,469.0')] ).
cnf(1584,plain,
equal(mult(ld(f(u),unit),mult(u,mult(ld(f(u),unit),u))),u),
inference(rew,[status(thm),theory(equality)],[2,1552,39,180]),
[iquote('0:Rew:2.0,1552.0,39.0,1552.0,2.0,1552.0,180.0,1552.0')] ).
cnf(1585,plain,
equal(mult(ld(f(u),unit),mult(u,f(u))),u),
inference(rew,[status(thm),theory(equality)],[1541,1584]),
[iquote('0:Rew:1541.0,1584.0')] ).
cnf(1651,plain,
equal(rd(mult(u,mult(v,mult(w,v))),v),mult(rd(u,w),mult(w,mult(v,w)))),
inference(spr,[status(thm),theory(equality)],[5,439]),
[iquote('0:SpR:5.0,439.0')] ).
cnf(1707,plain,
equal(mult(u,mult(ld(f(u),unit),mult(u,ld(f(u),unit)))),mult(mult(u,f(u)),ld(f(u),unit))),
inference(spr,[status(thm),theory(equality)],[1541,469]),
[iquote('0:SpR:1541.0,469.0')] ).
cnf(1727,plain,
equal(mult(mult(u,v),mult(ld(f(v),unit),mult(v,ld(f(v),unit)))),mult(mult(u,mult(v,f(v))),ld(f(v),unit))),
inference(spr,[status(thm),theory(equality)],[1541,16]),
[iquote('0:SpR:1541.0,16.0')] ).
cnf(1748,plain,
equal(mult(mult(u,f(u)),ld(f(u),unit)),u),
inference(rew,[status(thm),theory(equality)],[1,1707,39,2,180,1528]),
[iquote('0:Rew:1.0,1707.0,39.0,1707.0,2.0,1707.0,180.0,1707.0,1528.0,1707.0')] ).
cnf(1752,plain,
equal(mult(mult(u,mult(v,f(v))),ld(f(v),unit)),mult(u,v)),
inference(rew,[status(thm),theory(equality)],[1,1727,39,2,180,1528]),
[iquote('0:Rew:1.0,1727.0,39.0,1727.0,2.0,1727.0,180.0,1727.0,1528.0,1727.0')] ).
cnf(2206,plain,
equal(mult(mult(u,f(u)),mult(ld(f(u),unit),ld(f(u),unit))),mult(u,ld(f(u),unit))),
inference(spr,[status(thm),theory(equality)],[1748,462]),
[iquote('0:SpR:1748.0,462.0')] ).
cnf(2214,plain,
equal(rd(mult(mult(u,mult(v,f(v))),mult(ld(f(v),unit),v)),ld(f(v),unit)),mult(u,mult(mult(v,f(v)),mult(ld(f(v),unit),mult(v,f(v)))))),
inference(spr,[status(thm),theory(equality)],[1748,439]),
[iquote('0:SpR:1748.0,439.0')] ).
cnf(2221,plain,
equal(mult(mult(u,f(u)),mult(ld(f(u),unit),ld(f(u),unit))),f(u)),
inference(rew,[status(thm),theory(equality)],[1528,2206]),
[iquote('0:Rew:1528.0,2206.0')] ).
cnf(2233,plain,
equal(rd(mult(mult(u,f(v)),mult(v,f(v))),ld(f(v),unit)),mult(u,mult(v,mult(v,f(v))))),
inference(rew,[status(thm),theory(equality)],[472,2214,1541,73,8,1585]),
[iquote('0:Rew:472.0,2214.0,1541.0,2214.0,73.0,2214.0,8.0,2214.0,1585.0,2214.0')] ).
cnf(2592,plain,
equal(mult(mult(u,mult(mult(v,f(w)),mult(w,f(w)))),rd(f(w),mult(v,mult(w,f(w))))),mult(mult(u,mult(v,mult(w,f(w)))),mult(f(w),rd(f(w),mult(v,mult(w,f(w))))))),
inference(spr,[status(thm),theory(equality)],[472,471]),
[iquote('0:SpR:472.0,471.0')] ).
cnf(2876,plain,
equal(mult(rd(u,f(v)),v),mult(u,f(v))),
inference(spr,[status(thm),theory(equality)],[1231,3]),
[iquote('0:SpR:1231.0,3.0')] ).
cnf(3508,plain,
equal(mult(mult(u,f(v)),v),mult(mult(u,v),f(v))),
inference(spr,[status(thm),theory(equality)],[1002,2876]),
[iquote('0:SpR:1002.0,2876.0')] ).
cnf(4047,plain,
equal(ld(rd(u,v),mult(u,v)),mult(v,v)),
inference(spr,[status(thm),theory(equality)],[579,4]),
[iquote('0:SpR:579.0,4.0')] ).
cnf(4660,plain,
equal(mult(ld(mult(u,u),unit),u),rd(unit,u)),
inference(spr,[status(thm),theory(equality)],[231,1008]),
[iquote('0:SpR:231.0,1008.0')] ).
cnf(4668,plain,
equal(mult(ld(mult(u,u),unit),u),ld(u,unit)),
inference(rew,[status(thm),theory(equality)],[231,4660]),
[iquote('0:Rew:231.0,4660.0')] ).
cnf(4708,plain,
equal(rd(ld(u,unit),u),ld(mult(u,u),unit)),
inference(spr,[status(thm),theory(equality)],[4668,6]),
[iquote('0:SpR:4668.0,6.0')] ).
cnf(4752,plain,
equal(ld(mult(u,u),unit),ld(u,ld(u,unit))),
inference(rew,[status(thm),theory(equality)],[231,4708,332]),
[iquote('0:Rew:231.0,4708.0,332.0,4708.0')] ).
cnf(5196,plain,
equal(ld(ld(u,ld(u,unit)),unit),mult(u,u)),
inference(spr,[status(thm),theory(equality)],[4752,249]),
[iquote('0:SpR:4752.0,249.0')] ).
cnf(5399,plain,
equal(mult(rd(unit,u),rd(unit,u)),ld(ld(rd(unit,u),u),unit)),
inference(spr,[status(thm),theory(equality)],[41,5196]),
[iquote('0:SpR:41.0,5196.0')] ).
cnf(5421,plain,
equal(mult(ld(u,unit),ld(u,unit)),ld(ld(ld(u,unit),u),unit)),
inference(rew,[status(thm),theory(equality)],[231,5399]),
[iquote('0:Rew:231.0,5399.0')] ).
cnf(5429,plain,
equal(mult(mult(u,f(u)),ld(ld(ld(f(u),unit),f(u)),unit)),f(u)),
inference(rew,[status(thm),theory(equality)],[5421,2221]),
[iquote('0:Rew:5421.0,2221.0')] ).
cnf(5433,plain,
equal(mult(mult(u,f(u)),ld(u,unit)),f(u)),
inference(rew,[status(thm),theory(equality)],[1532,5429]),
[iquote('0:Rew:1532.0,5429.0')] ).
cnf(5468,plain,
equal(mult(mult(u,f(u)),mult(ld(u,unit),mult(u,f(u)))),mult(f(u),mult(u,f(u)))),
inference(spr,[status(thm),theory(equality)],[5433,8]),
[iquote('0:SpR:5433.0,8.0')] ).
cnf(5491,plain,
equal(mult(mult(rd(u,mult(mult(v,f(v)),mult(ld(v,unit),mult(v,f(v))))),mult(v,f(v))),mult(ld(v,unit),f(v))),mult(u,ld(v,unit))),
inference(spr,[status(thm),theory(equality)],[5433,461]),
[iquote('0:SpR:5433.0,461.0')] ).
cnf(5541,plain,
equal(mult(mult(u,f(u)),mult(ld(u,unit),mult(u,f(u)))),mult(u,u)),
inference(rew,[status(thm),theory(equality)],[464,5468]),
[iquote('0:Rew:464.0,5468.0')] ).
cnf(5553,plain,
equal(mult(mult(rd(u,mult(mult(v,f(v)),mult(ld(v,unit),mult(v,f(v))))),mult(v,f(v))),ld(f(v),unit)),mult(u,ld(v,unit))),
inference(rew,[status(thm),theory(equality)],[1286,5491]),
[iquote('0:Rew:1286.0,5491.0')] ).
cnf(5554,plain,
equal(mult(rd(u,mult(v,v)),v),mult(u,ld(v,unit))),
inference(rew,[status(thm),theory(equality)],[1752,5553,5541]),
[iquote('0:Rew:1752.0,5553.0,5541.0,5553.0')] ).
cnf(5555,plain,
equal(mult(u,ld(v,unit)),rd(u,v)),
inference(rew,[status(thm),theory(equality)],[1008,5554]),
[iquote('0:Rew:1008.0,5554.0')] ).
cnf(5597,plain,
equal(rd(mult(u,mult(v,f(v))),f(v)),mult(u,v)),
inference(rew,[status(thm),theory(equality)],[5555,1752]),
[iquote('0:Rew:5555.0,1752.0')] ).
cnf(5636,plain,
equal(mult(mult(u,f(v)),v),mult(u,mult(v,f(v)))),
inference(rew,[status(thm),theory(equality)],[5597,967]),
[iquote('0:Rew:5597.0,967.0')] ).
cnf(5637,plain,
equal(mult(mult(u,v),f(v)),mult(u,mult(v,f(v)))),
inference(rew,[status(thm),theory(equality)],[3508,5636]),
[iquote('0:Rew:3508.0,5636.0')] ).
cnf(5641,plain,
equal(mult(mult(u,f(v)),v),mult(u,mult(v,f(v)))),
inference(rew,[status(thm),theory(equality)],[5637,3508]),
[iquote('0:Rew:5637.0,3508.0')] ).
cnf(6101,plain,
equal(ld(u,rd(u,v)),ld(v,unit)),
inference(spr,[status(thm),theory(equality)],[5555,4]),
[iquote('0:SpR:5555.0,4.0')] ).
cnf(6102,plain,
equal(mult(u,mult(ld(v,unit),u)),mult(rd(u,v),u)),
inference(spr,[status(thm),theory(equality)],[5555,8]),
[iquote('0:SpR:5555.0,8.0')] ).
cnf(6155,plain,
equal(rd(u,rd(unit,v)),mult(u,v)),
inference(spr,[status(thm),theory(equality)],[41,5555]),
[iquote('0:SpR:41.0,5555.0')] ).
cnf(6170,plain,
equal(rd(u,ld(v,unit)),mult(u,v)),
inference(rew,[status(thm),theory(equality)],[231,6155]),
[iquote('0:Rew:231.0,6155.0')] ).
cnf(6176,plain,
equal(mult(mult(mult(u,f(v)),mult(v,f(v))),f(v)),mult(u,mult(v,mult(v,f(v))))),
inference(rew,[status(thm),theory(equality)],[6170,2233]),
[iquote('0:Rew:6170.0,2233.0')] ).
cnf(6306,plain,
equal(mult(mult(u,v),mult(v,f(v))),mult(u,mult(v,mult(v,f(v))))),
inference(rew,[status(thm),theory(equality)],[7,6176,462,472]),
[iquote('0:Rew:7.0,6176.0,462.0,6176.0,472.0,6176.0')] ).
cnf(6311,plain,
equal(mult(mult(u,mult(v,f(v))),v),mult(u,mult(v,mult(v,f(v))))),
inference(rew,[status(thm),theory(equality)],[6306,990]),
[iquote('0:Rew:6306.0,990.0')] ).
cnf(6406,plain,
equal(ld(mult(u,v),u),ld(v,unit)),
inference(spr,[status(thm),theory(equality)],[6,6101]),
[iquote('0:SpR:6.0,6101.0')] ).
cnf(6413,plain,
equal(ld(ld(u,v),unit),ld(v,u)),
inference(spr,[status(thm),theory(equality)],[43,6101]),
[iquote('0:SpR:43.0,6101.0')] ).
cnf(6417,plain,
equal(ld(mult(u,v),mult(u,rd(v,u))),ld(u,unit)),
inference(spr,[status(thm),theory(equality)],[106,6101]),
[iquote('0:SpR:106.0,6101.0')] ).
cnf(6770,plain,
equal(rd(u,ld(v,w)),mult(u,ld(w,v))),
inference(spr,[status(thm),theory(equality)],[6413,5555]),
[iquote('0:SpR:6413.0,5555.0')] ).
cnf(7121,plain,
equal(mult(mult(u,mult(v,f(v))),f(v)),mult(mult(u,v),mult(f(v),f(v)))),
inference(spr,[status(thm),theory(equality)],[5637,462]),
[iquote('0:SpR:5637.0,462.0')] ).
cnf(7143,plain,
equal(mult(mult(u,mult(v,mult(w,f(w)))),rd(f(w),mult(v,w))),mult(mult(u,mult(v,w)),mult(f(w),rd(f(w),mult(v,w))))),
inference(spr,[status(thm),theory(equality)],[5637,471]),
[iquote('0:SpR:5637.0,471.0')] ).
cnf(7198,plain,
equal(mult(mult(u,f(v)),mult(v,f(v))),mult(u,mult(v,v))),
inference(rew,[status(thm),theory(equality)],[472,7121,462,7]),
[iquote('0:Rew:472.0,7121.0,462.0,7121.0,7.0,7121.0')] ).
cnf(7252,plain,
equal(mult(mult(u,mult(v,mult(w,f(w)))),mult(f(w),rd(f(w),mult(v,mult(w,f(w)))))),mult(mult(u,mult(v,mult(w,w))),rd(f(w),mult(v,mult(w,f(w)))))),
inference(rew,[status(thm),theory(equality)],[7198,2592]),
[iquote('0:Rew:7198.0,2592.0')] ).
cnf(11936,plain,
equal(rd(mult(rd(u,v),mult(v,u)),v),mult(rd(u,v),mult(v,rd(u,v)))),
inference(spr,[status(thm),theory(equality)],[5,770]),
[iquote('0:SpR:5.0,770.0')] ).
cnf(11988,plain,
equal(rd(mult(rd(u,v),mult(v,u)),v),mult(u,rd(u,v))),
inference(rew,[status(thm),theory(equality)],[70,11936]),
[iquote('0:Rew:70.0,11936.0')] ).
cnf(14728,plain,
equal(mult(ld(u,v),mult(v,u)),ld(u,mult(v,mult(v,u)))),
inference(spr,[status(thm),theory(equality)],[1450,4]),
[iquote('0:SpR:1450.0,4.0')] ).
cnf(14904,plain,
equal(mult(mult(ld(u,v),v),u),ld(u,mult(v,mult(v,u)))),
inference(rew,[status(thm),theory(equality)],[14728,807]),
[iquote('0:Rew:14728.0,807.0')] ).
cnf(17792,plain,
equal(mult(mult(u,mult(v,mult(v,f(v)))),f(v)),mult(mult(u,mult(v,f(v))),mult(v,f(v)))),
inference(spr,[status(thm),theory(equality)],[6311,5637]),
[iquote('0:SpR:6311.0,5637.0')] ).
cnf(17885,plain,
equal(mult(mult(u,mult(v,mult(v,f(v)))),f(v)),mult(u,mult(mult(v,f(v)),mult(v,f(v))))),
inference(rew,[status(thm),theory(equality)],[462,17792]),
[iquote('0:Rew:462.0,17792.0')] ).
cnf(17886,plain,
equal(mult(mult(u,v),mult(v,v)),mult(u,mult(v,mult(v,v)))),
inference(rew,[status(thm),theory(equality)],[474,17885,7198]),
[iquote('0:Rew:474.0,17885.0,7198.0,17885.0')] ).
cnf(17887,plain,
equal(mult(mult(u,mult(v,v)),v),mult(u,mult(v,mult(v,v)))),
inference(rew,[status(thm),theory(equality)],[17886,568]),
[iquote('0:Rew:17886.0,568.0')] ).
cnf(18502,plain,
equal(ld(rd(mult(u,mult(v,v)),v),mult(u,mult(v,mult(v,v)))),mult(v,v)),
inference(spr,[status(thm),theory(equality)],[17887,4047]),
[iquote('0:SpR:17887.0,4047.0')] ).
cnf(18608,plain,
equal(ld(mult(u,v),mult(u,mult(v,mult(v,v)))),mult(v,v)),
inference(rew,[status(thm),theory(equality)],[562,18502]),
[iquote('0:Rew:562.0,18502.0')] ).
cnf(22263,plain,
equal(ld(mult(u,v),mult(mult(u,rd(v,u)),mult(mult(u,rd(v,u)),mult(u,v)))),mult(mult(ld(u,unit),mult(u,rd(v,u))),mult(u,v))),
inference(spr,[status(thm),theory(equality)],[6417,14904]),
[iquote('0:SpR:6417.0,14904.0')] ).
cnf(22488,plain,
equal(ld(mult(u,v),mult(mult(u,rd(v,u)),mult(u,mult(rd(v,u),mult(u,v))))),mult(mult(ld(u,unit),mult(u,rd(v,u))),mult(u,v))),
inference(rew,[status(thm),theory(equality)],[1412,22263]),
[iquote('0:Rew:1412.0,22263.0')] ).
cnf(32095,plain,
equal(rd(mult(u,mult(v,u)),u),mult(rd(unit,v),mult(v,mult(u,v)))),
inference(spr,[status(thm),theory(equality)],[2,1651]),
[iquote('0:SpR:2.0,1651.0')] ).
cnf(32209,plain,
equal(mult(ld(u,unit),mult(u,mult(v,u))),mult(v,u)),
inference(rew,[status(thm),theory(equality)],[6,32095,106,231]),
[iquote('0:Rew:6.0,32095.0,106.0,32095.0,231.0,32095.0')] ).
cnf(32480,plain,
equal(mult(ld(u,unit),mult(u,v)),v),
inference(spr,[status(thm),theory(equality)],[5,32209]),
[iquote('0:SpR:5.0,32209.0')] ).
cnf(32561,plain,
equal(ld(mult(u,v),mult(mult(u,rd(v,u)),mult(u,mult(rd(v,u),mult(u,v))))),mult(rd(v,u),mult(u,v))),
inference(rew,[status(thm),theory(equality)],[32480,22488]),
[iquote('0:Rew:32480.0,22488.0')] ).
cnf(32860,plain,
equal(mult(mult(mult(u,v),ld(u,unit)),mult(mult(u,v),v)),mult(mult(u,v),mult(ld(u,unit),mult(mult(u,v),v)))),
inference(spr,[status(thm),theory(equality)],[32480,470]),
[iquote('0:SpR:32480.0,470.0')] ).
cnf(32874,plain,
equal(mult(rd(mult(u,v),u),mult(u,v)),mult(mult(u,v),v)),
inference(spr,[status(thm),theory(equality)],[32480,6102]),
[iquote('0:SpR:32480.0,6102.0')] ).
cnf(32876,plain,
equal(rd(u,mult(v,u)),ld(v,unit)),
inference(spr,[status(thm),theory(equality)],[32480,6]),
[iquote('0:SpR:32480.0,6.0')] ).
cnf(32877,plain,
equal(ld(ld(u,unit),v),mult(u,v)),
inference(spr,[status(thm),theory(equality)],[32480,4]),
[iquote('0:SpR:32480.0,4.0')] ).
cnf(32897,plain,
equal(ld(mult(u,v),unit),ld(v,ld(u,unit))),
inference(spr,[status(thm),theory(equality)],[32480,6406]),
[iquote('0:SpR:32480.0,6406.0')] ).
cnf(32933,plain,
equal(rd(mult(u,mult(mult(v,w),w)),mult(v,w)),mult(rd(u,ld(v,unit)),mult(ld(v,unit),mult(mult(v,w),ld(v,unit))))),
inference(spr,[status(thm),theory(equality)],[32480,1651]),
[iquote('0:SpR:32480.0,1651.0')] ).
cnf(33016,plain,
equal(mult(ld(u,unit),v),ld(u,v)),
inference(spr,[status(thm),theory(equality)],[3,32480]),
[iquote('0:SpR:3.0,32480.0')] ).
cnf(33842,plain,
equal(mult(u,mult(rd(v,u),mult(u,v))),mult(u,mult(v,v))),
inference(rew,[status(thm),theory(equality)],[1412,32874,106,462]),
[iquote('0:Rew:1412.0,32874.0,106.0,32874.0,462.0,32874.0')] ).
cnf(33886,plain,
equal(ld(mult(u,v),mult(mult(u,rd(v,u)),mult(u,mult(v,v)))),mult(rd(v,u),mult(u,v))),
inference(rew,[status(thm),theory(equality)],[33842,32561]),
[iquote('0:Rew:33842.0,32561.0')] ).
cnf(34839,plain,
equal(mult(mult(u,v),mult(ld(u,unit),mult(u,mult(v,v)))),mult(mult(u,rd(v,u)),mult(u,mult(v,v)))),
inference(rew,[status(thm),theory(equality)],[106,32860,5555,462]),
[iquote('0:Rew:106.0,32860.0,5555.0,32860.0,462.0,32860.0')] ).
cnf(34840,plain,
equal(mult(mult(u,rd(v,u)),mult(u,mult(v,v))),mult(mult(u,v),ld(u,mult(u,mult(v,v))))),
inference(rew,[status(thm),theory(equality)],[33016,34839]),
[iquote('0:Rew:33016.0,34839.0')] ).
cnf(34841,plain,
equal(mult(mult(u,rd(v,u)),mult(u,mult(v,v))),mult(mult(u,v),mult(v,v))),
inference(rew,[status(thm),theory(equality)],[4,34840]),
[iquote('0:Rew:4.0,34840.0')] ).
cnf(34842,plain,
equal(mult(mult(u,rd(v,u)),mult(u,mult(v,v))),mult(u,mult(v,mult(v,v)))),
inference(rew,[status(thm),theory(equality)],[17886,34841]),
[iquote('0:Rew:17886.0,34841.0')] ).
cnf(34843,plain,
equal(ld(mult(u,v),mult(u,mult(v,mult(v,v)))),mult(rd(v,u),mult(u,v))),
inference(rew,[status(thm),theory(equality)],[34842,33886]),
[iquote('0:Rew:34842.0,33886.0')] ).
cnf(34844,plain,
equal(mult(rd(u,v),mult(v,u)),mult(u,u)),
inference(rew,[status(thm),theory(equality)],[18608,34843]),
[iquote('0:Rew:18608.0,34843.0')] ).
cnf(34903,plain,
equal(rd(mult(u,u),v),mult(u,rd(u,v))),
inference(rew,[status(thm),theory(equality)],[34844,11988]),
[iquote('0:Rew:34844.0,11988.0')] ).
cnf(35087,plain,
equal(rd(mult(u,mult(v,mult(w,w))),mult(v,w)),mult(mult(u,v),mult(ld(v,unit),mult(v,rd(w,v))))),
inference(rew,[status(thm),theory(equality)],[462,32933,38,6770,106,5555]),
[iquote('0:Rew:462.0,32933.0,38.0,32933.0,6770.0,32933.0,106.0,32933.0,5555.0,32933.0')] ).
cnf(35088,plain,
equal(rd(mult(u,mult(v,mult(w,w))),mult(v,w)),mult(mult(u,v),ld(v,mult(v,rd(w,v))))),
inference(rew,[status(thm),theory(equality)],[33016,35087]),
[iquote('0:Rew:33016.0,35087.0')] ).
cnf(35089,plain,
equal(rd(mult(u,mult(v,mult(w,w))),mult(v,w)),mult(mult(u,v),rd(w,v))),
inference(rew,[status(thm),theory(equality)],[4,35088]),
[iquote('0:Rew:4.0,35088.0')] ).
cnf(37873,plain,
equal(rd(ld(u,v),v),ld(u,unit)),
inference(spr,[status(thm),theory(equality)],[3,32876]),
[iquote('0:SpR:3.0,32876.0')] ).
cnf(37882,plain,
equal(rd(f(u),rd(v,f(u))),ld(rd(v,u),unit)),
inference(spr,[status(thm),theory(equality)],[1030,32876]),
[iquote('0:SpR:1030.0,32876.0')] ).
cnf(37887,plain,
equal(ld(rd(u,v),unit),rd(v,u)),
inference(spr,[status(thm),theory(equality)],[5,32876]),
[iquote('0:SpR:5.0,32876.0')] ).
cnf(37888,plain,
equal(ld(rd(u,mult(v,v)),unit),rd(v,rd(u,v))),
inference(spr,[status(thm),theory(equality)],[1008,32876]),
[iquote('0:SpR:1008.0,32876.0')] ).
cnf(37909,plain,
equal(rd(u,mult(v,mult(u,f(u)))),ld(mult(v,f(u)),unit)),
inference(spr,[status(thm),theory(equality)],[5641,32876]),
[iquote('0:SpR:5641.0,32876.0')] ).
cnf(37915,plain,
equal(rd(f(u),mult(v,mult(u,f(u)))),ld(mult(v,u),unit)),
inference(spr,[status(thm),theory(equality)],[5637,32876]),
[iquote('0:SpR:5637.0,32876.0')] ).
cnf(37974,plain,
equal(rd(f(u),rd(v,f(u))),rd(u,v)),
inference(rew,[status(thm),theory(equality)],[37887,37882]),
[iquote('0:Rew:37887.0,37882.0')] ).
cnf(37978,plain,
equal(rd(u,rd(v,u)),mult(u,rd(u,v))),
inference(rew,[status(thm),theory(equality)],[34903,37888,37887]),
[iquote('0:Rew:34903.0,37888.0,37887.0,37888.0')] ).
cnf(37979,plain,
equal(mult(f(u),rd(f(u),v)),rd(u,v)),
inference(rew,[status(thm),theory(equality)],[37978,37974]),
[iquote('0:Rew:37978.0,37974.0')] ).
cnf(37997,plain,
equal(mult(mult(u,mult(v,mult(w,f(w)))),rd(w,mult(v,mult(w,f(w))))),mult(mult(u,mult(v,mult(w,w))),rd(f(w),mult(v,mult(w,f(w)))))),
inference(rew,[status(thm),theory(equality)],[37979,7252]),
[iquote('0:Rew:37979.0,7252.0')] ).
cnf(37998,plain,
equal(mult(mult(u,mult(v,mult(w,f(w)))),rd(f(w),mult(v,w))),mult(mult(u,mult(v,w)),rd(w,mult(v,w)))),
inference(rew,[status(thm),theory(equality)],[37979,7143]),
[iquote('0:Rew:37979.0,7143.0')] ).
cnf(38133,plain,
equal(rd(u,mult(v,mult(u,f(u)))),ld(f(u),ld(v,unit))),
inference(rew,[status(thm),theory(equality)],[32897,37909]),
[iquote('0:Rew:32897.0,37909.0')] ).
cnf(38146,plain,
equal(rd(f(u),mult(v,mult(u,f(u)))),ld(u,ld(v,unit))),
inference(rew,[status(thm),theory(equality)],[32897,37915]),
[iquote('0:Rew:32897.0,37915.0')] ).
cnf(38644,plain,
equal(mult(mult(u,mult(v,mult(w,f(w)))),rd(f(w),mult(v,w))),rd(mult(u,mult(v,w)),v)),
inference(rew,[status(thm),theory(equality)],[5555,37998,32876]),
[iquote('0:Rew:5555.0,37998.0,32876.0,37998.0')] ).
cnf(38694,plain,
equal(mult(mult(u,mult(v,mult(w,f(w)))),ld(f(w),ld(v,unit))),mult(mult(u,mult(v,mult(w,w))),ld(w,ld(v,unit)))),
inference(rew,[status(thm),theory(equality)],[38133,37997,38146]),
[iquote('0:Rew:38133.0,37997.0,38146.0,37997.0')] ).
cnf(38809,plain,
equal(mult(u,ld(v,ld(w,unit))),rd(u,mult(w,v))),
inference(spr,[status(thm),theory(equality)],[32877,6770]),
[iquote('0:SpR:32877.0,6770.0')] ).
cnf(39678,plain,
equal(rd(mult(u,mult(v,mult(w,f(w)))),mult(v,f(w))),mult(mult(u,mult(v,mult(w,w))),ld(w,ld(v,unit)))),
inference(rew,[status(thm),theory(equality)],[38809,38694]),
[iquote('0:Rew:38809.0,38694.0')] ).
cnf(40173,plain,
equal(rd(mult(u,mult(v,mult(w,f(w)))),mult(v,f(w))),mult(mult(u,v),rd(w,v))),
inference(rew,[status(thm),theory(equality)],[35089,39678,38809]),
[iquote('0:Rew:35089.0,39678.0,38809.0,39678.0')] ).
cnf(41098,plain,
equal(rd(f(u),mult(v,u)),ld(mult(v,f(u)),unit)),
inference(spr,[status(thm),theory(equality)],[1017,37873]),
[iquote('0:SpR:1017.0,37873.0')] ).
cnf(41324,plain,
equal(rd(f(u),mult(v,u)),ld(f(u),ld(v,unit))),
inference(rew,[status(thm),theory(equality)],[32897,41098]),
[iquote('0:Rew:32897.0,41098.0')] ).
cnf(41326,plain,
equal(mult(mult(u,mult(v,mult(w,f(w)))),ld(f(w),ld(v,unit))),rd(mult(u,mult(v,w)),v)),
inference(rew,[status(thm),theory(equality)],[41324,38644]),
[iquote('0:Rew:41324.0,38644.0')] ).
cnf(41914,plain,
equal(rd(mult(u,mult(v,w)),v),mult(mult(u,v),rd(w,v))),
inference(rew,[status(thm),theory(equality)],[40173,41326,38809]),
[iquote('0:Rew:40173.0,41326.0,38809.0,41326.0')] ).
cnf(41915,plain,
equal(mult(mult(mult(u,v),w),rd(mult(v,w),w)),mult(u,mult(v,mult(w,v)))),
inference(rew,[status(thm),theory(equality)],[41914,439]),
[iquote('0:Rew:41914.0,439.0')] ).
cnf(42139,plain,
equal(mult(mult(mult(u,v),w),v),mult(u,mult(v,mult(w,v)))),
inference(rew,[status(thm),theory(equality)],[6,41915]),
[iquote('0:Rew:6.0,41915.0')] ).
cnf(42140,plain,
$false,
inference(unc,[status(thm)],[42139,10]),
[iquote('0:UnC:42139.0,10.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP667+6 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 10:54:39 EDT 2022
% 0.13/0.35 % CPUTime :
% 105.31/105.54
% 105.31/105.54 SPASS V 3.9
% 105.31/105.54 SPASS beiseite: Proof found.
% 105.31/105.54 % SZS status Theorem
% 105.31/105.54 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 105.31/105.54 SPASS derived 23996 clauses, backtracked 0 clauses, performed 0 splits and kept 11661 clauses.
% 105.31/105.54 SPASS allocated 177989 KBytes.
% 105.31/105.54 SPASS spent 0:1:45.12 on the problem.
% 105.31/105.54 0:00:00.03 for the input.
% 105.31/105.54 0:00:00.02 for the FLOTTER CNF translation.
% 105.31/105.54 0:00:00.19 for inferences.
% 105.31/105.54 0:00:00.00 for the backtracking.
% 105.31/105.54 0:1:44.82 for the reduction.
% 105.31/105.54
% 105.31/105.54
% 105.31/105.54 Here is a proof with depth 14, length 190 :
% 105.31/105.54 % SZS output start Refutation
% See solution above
% 106.10/106.26 Formulae used in the proof : f05 f06 f01 f02 f03 f04 f09 f08 goals f07
% 106.10/106.26
%------------------------------------------------------------------------------