TSTP Solution File: GRP667-10 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GRP667-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 11:48:51 EDT 2022
% Result : Unsatisfiable 104.42s 104.67s
% Output : Refutation 105.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 13
% Syntax : Number of clauses : 192 ( 192 unt; 0 nHn; 192 RR)
% Number of literals : 192 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(ifeq(u,u,v,w),v),
file('GRP667-10.p',unknown),
[] ).
cnf(2,axiom,
equal(mult(u,ld(u,v)),v),
file('GRP667-10.p',unknown),
[] ).
cnf(3,axiom,
equal(ld(u,mult(u,v)),v),
file('GRP667-10.p',unknown),
[] ).
cnf(4,axiom,
equal(mult(rd(u,v),v),u),
file('GRP667-10.p',unknown),
[] ).
cnf(5,axiom,
equal(rd(mult(u,v),v),u),
file('GRP667-10.p',unknown),
[] ).
cnf(6,axiom,
equal(mult(u,unit),u),
file('GRP667-10.p',unknown),
[] ).
cnf(7,axiom,
equal(mult(unit,u),u),
file('GRP667-10.p',unknown),
[] ).
cnf(8,axiom,
equal(mult(mult(u,mult(mult(v,w),v)),w),mult(mult(u,v),mult(mult(w,v),w))),
file('GRP667-10.p',unknown),
[] ).
cnf(9,axiom,
equal(mult(mult(u,v),u),mult(u,mult(v,u))),
file('GRP667-10.p',unknown),
[] ).
cnf(10,axiom,
equal(mult(f(u),f(u)),u),
file('GRP667-10.p',unknown),
[] ).
cnf(11,axiom,
equal(ifeq(mult(u,mult(v,mult(w,v))),mult(mult(mult(u,v),w),v),mult(v,mult(u,mult(v,w))),mult(mult(mult(v,u),v),w)),mult(mult(mult(v,u),v),w)),
file('GRP667-10.p',unknown),
[] ).
cnf(12,axiom,
equal(ifeq(mult(mult(u,v),mult(w,u)),mult(mult(u,mult(v,w)),u),mult(u,mult(v,mult(u,w))),mult(mult(mult(u,v),u),w)),mult(mult(mult(u,v),u),w)),
file('GRP667-10.p',unknown),
[] ).
cnf(14,axiom,
~ equal(mult(mult(mult(a,b),a),c),mult(a,mult(b,mult(a,c)))),
file('GRP667-10.p',unknown),
[] ).
cnf(15,plain,
~ equal(mult(mult(a,mult(b,a)),c),mult(a,mult(b,mult(a,c)))),
inference(rew,[status(thm),theory(equality)],[9,14]),
[iquote('0:Rew:9.0,14.0')] ).
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)],[9,8]),
[iquote('0:Rew:9.0,8.0,9.0,8.0')] ).
cnf(17,plain,
equal(ifeq(mult(u,mult(v,mult(w,v))),mult(mult(mult(u,v),w),v),mult(v,mult(u,mult(v,w))),mult(mult(v,mult(u,v)),w)),mult(mult(v,mult(u,v)),w)),
inference(rew,[status(thm),theory(equality)],[9,11]),
[iquote('0:Rew:9.0,11.0')] ).
cnf(18,plain,
equal(ifeq(mult(mult(u,v),mult(w,u)),mult(u,mult(mult(v,w),u)),mult(u,mult(v,mult(u,w))),mult(mult(u,mult(v,u)),w)),mult(mult(u,mult(v,u)),w)),
inference(rew,[status(thm),theory(equality)],[9,12]),
[iquote('0:Rew:9.0,12.0,9.0,12.0')] ).
cnf(25,plain,
equal(rd(u,u),unit),
inference(spr,[status(thm),theory(equality)],[7,5]),
[iquote('0:SpR:7.0,5.0')] ).
cnf(41,plain,
equal(ld(unit,u),u),
inference(spr,[status(thm),theory(equality)],[7,3]),
[iquote('0:SpR:7.0,3.0')] ).
cnf(42,plain,
equal(ld(u,u),unit),
inference(spr,[status(thm),theory(equality)],[6,3]),
[iquote('0:SpR:6.0,3.0')] ).
cnf(44,plain,
equal(ld(rd(u,v),u),v),
inference(spr,[status(thm),theory(equality)],[4,3]),
[iquote('0:SpR:4.0,3.0')] ).
cnf(46,plain,
equal(rd(u,ld(v,u)),v),
inference(spr,[status(thm),theory(equality)],[2,5]),
[iquote('0:SpR:2.0,5.0')] ).
cnf(75,plain,
equal(rd(mult(u,mult(v,u)),u),mult(u,v)),
inference(spr,[status(thm),theory(equality)],[9,5]),
[iquote('0:SpR:9.0,5.0')] ).
cnf(80,plain,
equal(mult(u,mult(ld(u,v),u)),mult(v,u)),
inference(spr,[status(thm),theory(equality)],[2,9]),
[iquote('0:SpR:2.0,9.0')] ).
cnf(81,plain,
equal(mult(f(u),mult(f(u),f(u))),mult(u,f(u))),
inference(spr,[status(thm),theory(equality)],[10,9]),
[iquote('0:SpR:10.0,9.0')] ).
cnf(82,plain,
equal(mult(rd(u,v),mult(v,rd(u,v))),mult(u,rd(u,v))),
inference(spr,[status(thm),theory(equality)],[4,9]),
[iquote('0:SpR:4.0,9.0')] ).
cnf(85,plain,
equal(mult(f(u),u),mult(u,f(u))),
inference(rew,[status(thm),theory(equality)],[10,81]),
[iquote('0:Rew:10.0,81.0')] ).
cnf(88,plain,
equal(rd(mult(u,f(u)),u),f(u)),
inference(spr,[status(thm),theory(equality)],[85,5]),
[iquote('0:SpR:85.0,5.0')] ).
cnf(110,plain,
equal(rd(mult(u,v),u),mult(u,rd(v,u))),
inference(spr,[status(thm),theory(equality)],[4,75]),
[iquote('0:SpR:4.0,75.0')] ).
cnf(116,plain,
equal(mult(u,rd(f(u),u)),f(u)),
inference(rew,[status(thm),theory(equality)],[110,88]),
[iquote('0:Rew:110.0,88.0')] ).
cnf(126,plain,
equal(rd(f(u),u),ld(u,f(u))),
inference(spr,[status(thm),theory(equality)],[116,3]),
[iquote('0:SpR:116.0,3.0')] ).
cnf(133,plain,
equal(mult(ld(u,f(u)),u),f(u)),
inference(spr,[status(thm),theory(equality)],[126,4]),
[iquote('0:SpR:126.0,4.0')] ).
cnf(134,plain,
equal(ld(ld(u,f(u)),f(u)),u),
inference(spr,[status(thm),theory(equality)],[126,44]),
[iquote('0:SpR:126.0,44.0')] ).
cnf(137,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)],[16,9]),
[iquote('0:SpR:16.0,9.0')] ).
cnf(138,plain,
equal(mult(mult(u,v),mult(unit,mult(v,unit))),mult(u,mult(v,mult(unit,v)))),
inference(spr,[status(thm),theory(equality)],[16,6]),
[iquote('0:SpR:16.0,6.0')] ).
cnf(139,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)],[16,5]),
[iquote('0:SpR:16.0,5.0')] ).
cnf(149,plain,
equal(mult(mult(u,ld(v,w)),mult(v,mult(ld(v,w),v))),mult(mult(u,mult(ld(v,w),w)),v)),
inference(spr,[status(thm),theory(equality)],[2,16]),
[iquote('0:SpR:2.0,16.0')] ).
cnf(151,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)],[4,16]),
[iquote('0:SpR:4.0,16.0')] ).
cnf(153,plain,
equal(mult(mult(unit,u),mult(v,mult(u,v))),mult(mult(u,mult(v,u)),v)),
inference(spr,[status(thm),theory(equality)],[7,16]),
[iquote('0:SpR:7.0,16.0')] ).
cnf(156,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)],[4,16]),
[iquote('0:SpR:4.0,16.0')] ).
cnf(157,plain,
equal(mult(mult(u,v),v),mult(u,mult(v,v))),
inference(rew,[status(thm),theory(equality)],[7,138,6]),
[iquote('0:Rew:7.0,138.0,6.0,138.0,7.0,138.0')] ).
cnf(163,plain,
equal(mult(mult(u,mult(v,u)),v),mult(u,mult(v,mult(u,v)))),
inference(rew,[status(thm),theory(equality)],[7,153]),
[iquote('0:Rew:7.0,153.0')] ).
cnf(164,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)],[163,137]),
[iquote('0:Rew:163.0,137.0')] ).
cnf(165,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)],[82,151]),
[iquote('0:Rew:82.0,151.0')] ).
cnf(167,plain,
equal(mult(mult(u,mult(ld(v,w),w)),v),mult(mult(u,ld(v,w)),mult(w,v))),
inference(rew,[status(thm),theory(equality)],[80,149]),
[iquote('0:Rew:80.0,149.0')] ).
cnf(173,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)],[133,9]),
[iquote('0:SpR:133.0,9.0')] ).
cnf(174,plain,
equal(mult(mult(u,v),mult(ld(v,f(v)),mult(v,ld(v,f(v))))),mult(mult(u,mult(v,f(v))),ld(v,f(v)))),
inference(spr,[status(thm),theory(equality)],[133,16]),
[iquote('0:SpR:133.0,16.0')] ).
cnf(177,plain,
equal(mult(ld(u,f(u)),f(u)),mult(f(u),ld(u,f(u)))),
inference(rew,[status(thm),theory(equality)],[2,173]),
[iquote('0:Rew:2.0,173.0')] ).
cnf(178,plain,
equal(mult(mult(u,mult(v,f(v))),ld(v,f(v))),mult(mult(u,v),mult(ld(v,f(v)),f(v)))),
inference(rew,[status(thm),theory(equality)],[2,174]),
[iquote('0:Rew:2.0,174.0')] ).
cnf(179,plain,
equal(mult(mult(u,mult(v,f(v))),ld(v,f(v))),mult(mult(u,v),mult(f(v),ld(v,f(v))))),
inference(rew,[status(thm),theory(equality)],[177,178]),
[iquote('0:Rew:177.0,178.0')] ).
cnf(208,plain,
equal(ifeq(mult(mult(u,unit),mult(v,u)),mult(u,mult(mult(unit,v),u)),mult(u,mult(unit,mult(u,v))),mult(mult(u,u),v)),mult(mult(u,u),v)),
inference(spr,[status(thm),theory(equality)],[7,18]),
[iquote('0:SpR:7.0,18.0')] ).
cnf(214,plain,
equal(ifeq(mult(mult(f(u),f(u)),mult(v,f(u))),mult(f(u),mult(mult(f(u),v),f(u))),mult(f(u),mult(f(u),mult(f(u),v))),mult(mult(f(u),u),v)),mult(mult(f(u),u),v)),
inference(spr,[status(thm),theory(equality)],[10,18]),
[iquote('0:SpR:10.0,18.0')] ).
cnf(282,plain,
equal(mult(mult(u,u),v),mult(u,mult(u,v))),
inference(rew,[status(thm),theory(equality)],[1,208,6,7]),
[iquote('0:Rew:1.0,208.0,6.0,208.0,7.0,208.0,7.0,208.0')] ).
cnf(306,plain,
equal(ifeq(mult(u,mult(v,f(u))),mult(f(u),mult(f(u),mult(v,f(u)))),mult(f(u),mult(f(u),mult(f(u),v))),mult(mult(u,f(u)),v)),mult(mult(u,f(u)),v)),
inference(rew,[status(thm),theory(equality)],[10,214,9,85]),
[iquote('0:Rew:10.0,214.0,9.0,214.0,85.0,214.0')] ).
cnf(603,plain,
equal(mult(ld(u,v),u),ld(u,mult(v,u))),
inference(spr,[status(thm),theory(equality)],[80,3]),
[iquote('0:SpR:80.0,3.0')] ).
cnf(768,plain,
equal(rd(mult(u,mult(v,v)),v),mult(u,v)),
inference(spr,[status(thm),theory(equality)],[157,5]),
[iquote('0:SpR:157.0,5.0')] ).
cnf(797,plain,
equal(mult(rd(u,v),mult(v,v)),mult(u,v)),
inference(spr,[status(thm),theory(equality)],[4,157]),
[iquote('0:SpR:4.0,157.0')] ).
cnf(842,plain,
equal(mult(u,rd(unit,u)),rd(u,u)),
inference(spr,[status(thm),theory(equality)],[6,110]),
[iquote('0:SpR:6.0,110.0')] ).
cnf(843,plain,
equal(mult(u,rd(ld(u,v),u)),rd(v,u)),
inference(spr,[status(thm),theory(equality)],[2,110]),
[iquote('0:SpR:2.0,110.0')] ).
cnf(851,plain,
equal(mult(u,rd(unit,u)),unit),
inference(rew,[status(thm),theory(equality)],[25,842]),
[iquote('0:Rew:25.0,842.0')] ).
cnf(863,plain,
equal(rd(unit,u),ld(u,unit)),
inference(spr,[status(thm),theory(equality)],[851,3]),
[iquote('0:SpR:851.0,3.0')] ).
cnf(918,plain,
equal(ld(ld(u,unit),unit),u),
inference(spr,[status(thm),theory(equality)],[863,44]),
[iquote('0:SpR:863.0,44.0')] ).
cnf(933,plain,
equal(rd(mult(u,mult(u,v)),v),mult(u,u)),
inference(spr,[status(thm),theory(equality)],[282,5]),
[iquote('0:SpR:282.0,5.0')] ).
cnf(934,plain,
equal(ld(mult(u,u),mult(u,mult(u,v))),v),
inference(spr,[status(thm),theory(equality)],[282,3]),
[iquote('0:SpR:282.0,3.0')] ).
cnf(977,plain,
equal(mult(f(u),mult(f(u),v)),mult(u,v)),
inference(spr,[status(thm),theory(equality)],[10,282]),
[iquote('0:SpR:10.0,282.0')] ).
cnf(979,plain,
equal(ifeq(mult(u,mult(v,f(u))),mult(u,mult(v,f(u))),mult(f(u),mult(f(u),mult(f(u),v))),mult(mult(u,f(u)),v)),mult(mult(u,f(u)),v)),
inference(rew,[status(thm),theory(equality)],[977,306]),
[iquote('0:Rew:977.0,306.0')] ).
cnf(1001,plain,
equal(mult(f(u),mult(f(u),mult(f(u),v))),mult(mult(u,f(u)),v)),
inference(rew,[status(thm),theory(equality)],[1,979]),
[iquote('0:Rew:1.0,979.0')] ).
cnf(1002,plain,
equal(mult(mult(u,f(u)),v),mult(f(u),mult(u,v))),
inference(rew,[status(thm),theory(equality)],[977,1001]),
[iquote('0:Rew:977.0,1001.0')] ).
cnf(1068,plain,
equal(ld(f(u),mult(u,v)),mult(f(u),v)),
inference(spr,[status(thm),theory(equality)],[977,3]),
[iquote('0:SpR:977.0,3.0')] ).
cnf(1079,plain,
equal(mult(f(u),mult(u,v)),mult(u,mult(f(u),v))),
inference(spr,[status(thm),theory(equality)],[977]),
[iquote('0:SpR:977.0,977.0')] ).
cnf(1096,plain,
equal(mult(u,ld(f(u),v)),mult(f(u),v)),
inference(spr,[status(thm),theory(equality)],[2,977]),
[iquote('0:SpR:2.0,977.0')] ).
cnf(1104,plain,
equal(mult(mult(u,f(u)),v),mult(u,mult(f(u),v))),
inference(rew,[status(thm),theory(equality)],[1079,1002]),
[iquote('0:Rew:1079.0,1002.0')] ).
cnf(1416,plain,
equal(mult(f(u),ld(u,v)),ld(f(u),v)),
inference(spr,[status(thm),theory(equality)],[2,1068]),
[iquote('0:SpR:2.0,1068.0')] ).
cnf(1428,plain,
equal(mult(mult(u,mult(v,f(v))),ld(v,f(v))),mult(mult(u,v),ld(f(v),f(v)))),
inference(rew,[status(thm),theory(equality)],[1416,179]),
[iquote('0:Rew:1416.0,179.0')] ).
cnf(1430,plain,
equal(mult(ld(u,f(u)),f(u)),ld(f(u),f(u))),
inference(rew,[status(thm),theory(equality)],[1416,177]),
[iquote('0:Rew:1416.0,177.0')] ).
cnf(1433,plain,
equal(mult(ld(u,f(u)),f(u)),unit),
inference(rew,[status(thm),theory(equality)],[42,1430]),
[iquote('0:Rew:42.0,1430.0')] ).
cnf(1440,plain,
equal(mult(mult(u,mult(v,f(v))),ld(v,f(v))),mult(u,v)),
inference(rew,[status(thm),theory(equality)],[6,1428,42]),
[iquote('0:Rew:6.0,1428.0,42.0,1428.0')] ).
cnf(1552,plain,
equal(rd(unit,f(u)),ld(u,f(u))),
inference(spr,[status(thm),theory(equality)],[1433,5]),
[iquote('0:SpR:1433.0,5.0')] ).
cnf(1569,plain,
equal(ld(f(u),unit),ld(u,f(u))),
inference(rew,[status(thm),theory(equality)],[863,1552]),
[iquote('0:Rew:863.0,1552.0')] ).
cnf(1624,plain,
equal(ld(ld(f(u),unit),f(u)),u),
inference(spr,[status(thm),theory(equality)],[1569,134]),
[iquote('0:SpR:1569.0,134.0')] ).
cnf(1629,plain,
equal(rd(f(u),ld(f(u),unit)),u),
inference(spr,[status(thm),theory(equality)],[1569,46]),
[iquote('0:SpR:1569.0,46.0')] ).
cnf(1644,plain,
equal(mult(ld(f(u),unit),u),f(u)),
inference(spr,[status(thm),theory(equality)],[1624,2]),
[iquote('0:SpR:1624.0,2.0')] ).
cnf(1703,plain,
equal(mult(rd(u,v),mult(v,mult(rd(u,v),v))),mult(mult(u,rd(u,v)),v)),
inference(spr,[status(thm),theory(equality)],[82,163]),
[iquote('0:SpR:82.0,163.0')] ).
cnf(1723,plain,
equal(mult(mult(u,rd(u,v)),v),mult(rd(u,v),mult(v,u))),
inference(rew,[status(thm),theory(equality)],[4,1703]),
[iquote('0:Rew:4.0,1703.0')] ).
cnf(1786,plain,
equal(mult(ld(f(u),unit),mult(u,u)),mult(f(u),u)),
inference(spr,[status(thm),theory(equality)],[1644,157]),
[iquote('0:SpR:1644.0,157.0')] ).
cnf(1787,plain,
equal(mult(ld(f(u),unit),rd(u,ld(f(u),unit))),rd(f(u),ld(f(u),unit))),
inference(spr,[status(thm),theory(equality)],[1644,110]),
[iquote('0:SpR:1644.0,110.0')] ).
cnf(1806,plain,
equal(mult(ld(f(u),unit),mult(u,u)),mult(u,f(u))),
inference(rew,[status(thm),theory(equality)],[85,1786]),
[iquote('0:Rew:85.0,1786.0')] ).
cnf(1816,plain,
equal(mult(ld(f(u),unit),rd(u,ld(f(u),unit))),u),
inference(rew,[status(thm),theory(equality)],[1629,1787]),
[iquote('0:Rew:1629.0,1787.0')] ).
cnf(1909,plain,
equal(ld(f(u),ld(f(u),v)),ld(u,v)),
inference(spr,[status(thm),theory(equality)],[1416,3]),
[iquote('0:SpR:1416.0,3.0')] ).
cnf(2451,plain,
equal(ld(ld(u,v),ld(u,mult(v,u))),u),
inference(spr,[status(thm),theory(equality)],[603,3]),
[iquote('0:SpR:603.0,3.0')] ).
cnf(2490,plain,
equal(ld(f(u),mult(ld(f(u),v),f(u))),mult(ld(u,v),f(u))),
inference(spr,[status(thm),theory(equality)],[1909,603]),
[iquote('0:SpR:1909.0,603.0')] ).
cnf(2501,plain,
equal(mult(ld(u,v),f(u)),ld(u,mult(v,f(u)))),
inference(rew,[status(thm),theory(equality)],[1909,2490,603]),
[iquote('0:Rew:1909.0,2490.0,603.0,2490.0')] ).
cnf(3041,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)],[4,139]),
[iquote('0:SpR:4.0,139.0')] ).
cnf(3704,plain,
equal(mult(mult(mult(rd(u,mult(v,mult(w,v))),v),w),mult(v,mult(w,v))),mult(mult(u,w),v)),
inference(spr,[status(thm),theory(equality)],[156,16]),
[iquote('0:SpR:156.0,16.0')] ).
cnf(4132,plain,
equal(mult(rd(u,mult(v,v)),v),rd(u,v)),
inference(spr,[status(thm),theory(equality)],[4,768]),
[iquote('0:SpR:4.0,768.0')] ).
cnf(4341,plain,
equal(rd(mult(u,v),mult(v,v)),rd(u,v)),
inference(spr,[status(thm),theory(equality)],[797,5]),
[iquote('0:SpR:797.0,5.0')] ).
cnf(4342,plain,
equal(ld(rd(u,v),mult(u,v)),mult(v,v)),
inference(spr,[status(thm),theory(equality)],[797,3]),
[iquote('0:SpR:797.0,3.0')] ).
cnf(4501,plain,
equal(rd(ld(u,v),u),ld(u,rd(v,u))),
inference(spr,[status(thm),theory(equality)],[843,3]),
[iquote('0:SpR:843.0,3.0')] ).
cnf(4514,plain,
equal(mult(u,mult(rd(ld(u,v),u),mult(u,mult(rd(ld(u,v),u),u)))),mult(rd(v,u),mult(u,mult(rd(ld(u,v),u),u)))),
inference(spr,[status(thm),theory(equality)],[843,164]),
[iquote('0:SpR:843.0,164.0')] ).
cnf(4559,plain,
equal(mult(ld(u,unit),rd(u,ld(u,unit))),rd(unit,ld(u,unit))),
inference(spr,[status(thm),theory(equality)],[918,843]),
[iquote('0:SpR:918.0,843.0')] ).
cnf(4604,plain,
equal(mult(ld(u,unit),rd(u,ld(u,unit))),u),
inference(rew,[status(thm),theory(equality)],[918,4559,863]),
[iquote('0:Rew:918.0,4559.0,863.0,4559.0')] ).
cnf(4654,plain,
equal(mult(u,mult(rd(ld(u,v),u),v)),mult(rd(v,u),v)),
inference(rew,[status(thm),theory(equality)],[2,4514,4]),
[iquote('0:Rew:2.0,4514.0,4.0,4514.0')] ).
cnf(4655,plain,
equal(mult(u,mult(ld(u,rd(v,u)),v)),mult(rd(v,u),v)),
inference(rew,[status(thm),theory(equality)],[4501,4654]),
[iquote('0:Rew:4501.0,4654.0')] ).
cnf(4684,plain,
equal(rd(u,ld(u,unit)),ld(ld(u,unit),u)),
inference(spr,[status(thm),theory(equality)],[4604,3]),
[iquote('0:SpR:4604.0,3.0')] ).
cnf(5115,plain,
equal(rd(mult(u,v),ld(u,v)),mult(u,u)),
inference(spr,[status(thm),theory(equality)],[2,933]),
[iquote('0:SpR:2.0,933.0')] ).
cnf(5227,plain,
equal(ld(mult(u,u),mult(u,v)),ld(u,v)),
inference(spr,[status(thm),theory(equality)],[2,934]),
[iquote('0:SpR:2.0,934.0')] ).
cnf(5782,plain,
equal(ld(ld(u,rd(v,u)),ld(u,v)),u),
inference(spr,[status(thm),theory(equality)],[4,2451]),
[iquote('0:SpR:4.0,2451.0')] ).
cnf(5900,plain,
equal(rd(rd(u,v),v),rd(u,mult(v,v))),
inference(spr,[status(thm),theory(equality)],[4132,5]),
[iquote('0:SpR:4132.0,5.0')] ).
cnf(6597,plain,
equal(rd(u,mult(u,u)),rd(unit,u)),
inference(spr,[status(thm),theory(equality)],[7,4341]),
[iquote('0:SpR:7.0,4341.0')] ).
cnf(6631,plain,
equal(rd(u,mult(u,u)),ld(u,unit)),
inference(rew,[status(thm),theory(equality)],[863,6597]),
[iquote('0:Rew:863.0,6597.0')] ).
cnf(6667,plain,
equal(ld(ld(u,unit),u),mult(u,u)),
inference(spr,[status(thm),theory(equality)],[6631,44]),
[iquote('0:SpR:6631.0,44.0')] ).
cnf(6687,plain,
equal(rd(u,ld(u,unit)),mult(u,u)),
inference(rew,[status(thm),theory(equality)],[6667,4684]),
[iquote('0:Rew:6667.0,4684.0')] ).
cnf(7219,plain,
equal(mult(ld(u,v),ld(u,v)),ld(rd(u,ld(u,v)),v)),
inference(spr,[status(thm),theory(equality)],[2,4342]),
[iquote('0:SpR:2.0,4342.0')] ).
cnf(7250,plain,
equal(mult(ld(u,v),ld(u,v)),ld(u,mult(v,ld(u,v)))),
inference(spr,[status(thm),theory(equality)],[46,4342]),
[iquote('0:SpR:46.0,4342.0')] ).
cnf(7305,plain,
equal(ld(rd(u,ld(u,v)),v),ld(u,mult(v,ld(u,v)))),
inference(rew,[status(thm),theory(equality)],[7219,7250]),
[iquote('0:Rew:7219.0,7250.0')] ).
cnf(7307,plain,
equal(mult(ld(u,v),ld(u,v)),ld(u,mult(v,ld(u,v)))),
inference(rew,[status(thm),theory(equality)],[7305,7219]),
[iquote('0:Rew:7305.0,7219.0')] ).
cnf(7745,plain,
equal(rd(u,ld(v,ld(v,u))),mult(v,v)),
inference(spr,[status(thm),theory(equality)],[2,5115]),
[iquote('0:SpR:2.0,5115.0')] ).
cnf(7879,plain,
equal(ld(mult(ld(f(u),unit),ld(f(u),unit)),f(u)),ld(ld(f(u),unit),u)),
inference(spr,[status(thm),theory(equality)],[1644,5227]),
[iquote('0:SpR:1644.0,5227.0')] ).
cnf(7980,plain,
equal(ld(ld(f(u),mult(unit,ld(f(u),unit))),f(u)),ld(ld(f(u),unit),u)),
inference(rew,[status(thm),theory(equality)],[7307,7879]),
[iquote('0:Rew:7307.0,7879.0')] ).
cnf(7981,plain,
equal(ld(ld(f(u),unit),u),ld(ld(u,unit),f(u))),
inference(rew,[status(thm),theory(equality)],[1909,7980,7]),
[iquote('0:Rew:1909.0,7980.0,7.0,7980.0')] ).
cnf(11241,plain,
equal(rd(u,ld(f(u),unit)),ld(ld(f(u),unit),u)),
inference(spr,[status(thm),theory(equality)],[1816,3]),
[iquote('0:SpR:1816.0,3.0')] ).
cnf(11250,plain,
equal(mult(ld(f(u),unit),rd(rd(u,ld(f(u),unit)),ld(f(u),unit))),rd(u,ld(f(u),unit))),
inference(spr,[status(thm),theory(equality)],[1816,110]),
[iquote('0:SpR:1816.0,110.0')] ).
cnf(11298,plain,
equal(rd(u,ld(f(u),unit)),ld(ld(u,unit),f(u))),
inference(rew,[status(thm),theory(equality)],[7981,11241]),
[iquote('0:Rew:7981.0,11241.0')] ).
cnf(11320,plain,
equal(mult(ld(f(u),unit),rd(u,mult(ld(f(u),unit),ld(f(u),unit)))),rd(u,ld(f(u),unit))),
inference(rew,[status(thm),theory(equality)],[5900,11250]),
[iquote('0:Rew:5900.0,11250.0')] ).
cnf(11321,plain,
equal(mult(ld(f(u),unit),rd(u,ld(f(u),mult(unit,ld(f(u),unit))))),ld(ld(u,unit),f(u))),
inference(rew,[status(thm),theory(equality)],[7307,11320,11298]),
[iquote('0:Rew:7307.0,11320.0,11298.0,11320.0')] ).
cnf(11322,plain,
equal(mult(ld(f(u),unit),mult(u,u)),ld(ld(u,unit),f(u))),
inference(rew,[status(thm),theory(equality)],[6687,11321,1909,7]),
[iquote('0:Rew:6687.0,11321.0,1909.0,11321.0,7.0,11321.0')] ).
cnf(11323,plain,
equal(ld(ld(u,unit),f(u)),mult(u,f(u))),
inference(rew,[status(thm),theory(equality)],[1806,11322]),
[iquote('0:Rew:1806.0,11322.0')] ).
cnf(11989,plain,
equal(mult(ld(u,unit),mult(u,f(u))),f(u)),
inference(spr,[status(thm),theory(equality)],[11323,2]),
[iquote('0:SpR:11323.0,2.0')] ).
cnf(13626,plain,
equal(mult(mult(rd(u,mult(mult(v,f(v)),f(v))),mult(v,f(v))),mult(ld(v,unit),mult(mult(v,f(v)),ld(v,unit)))),mult(u,ld(v,unit))),
inference(spr,[status(thm),theory(equality)],[11989,156]),
[iquote('0:SpR:11989.0,156.0')] ).
cnf(13753,plain,
equal(mult(mult(rd(u,mult(v,v)),mult(v,f(v))),mult(ld(v,unit),f(v))),mult(u,ld(v,unit))),
inference(rew,[status(thm),theory(equality)],[10,13626,1104,6,1096,1416]),
[iquote('0:Rew:10.0,13626.0,1104.0,13626.0,6.0,13626.0,1096.0,13626.0,1416.0,13626.0,1104.0,13626.0')] ).
cnf(13754,plain,
equal(mult(mult(rd(u,mult(v,v)),mult(v,f(v))),ld(v,mult(unit,f(v)))),mult(u,ld(v,unit))),
inference(rew,[status(thm),theory(equality)],[2501,13753]),
[iquote('0:Rew:2501.0,13753.0')] ).
cnf(13755,plain,
equal(mult(mult(rd(u,mult(v,v)),mult(v,f(v))),ld(v,f(v))),mult(u,ld(v,unit))),
inference(rew,[status(thm),theory(equality)],[7,13754]),
[iquote('0:Rew:7.0,13754.0')] ).
cnf(13756,plain,
equal(mult(rd(u,mult(v,v)),v),mult(u,ld(v,unit))),
inference(rew,[status(thm),theory(equality)],[1440,13755]),
[iquote('0:Rew:1440.0,13755.0')] ).
cnf(13757,plain,
equal(mult(u,ld(v,unit)),rd(u,v)),
inference(rew,[status(thm),theory(equality)],[4132,13756]),
[iquote('0:Rew:4132.0,13756.0')] ).
cnf(14392,plain,
equal(ld(u,rd(u,v)),ld(v,unit)),
inference(spr,[status(thm),theory(equality)],[13757,3]),
[iquote('0:SpR:13757.0,3.0')] ).
cnf(14393,plain,
equal(mult(u,mult(ld(v,unit),u)),mult(rd(u,v),u)),
inference(spr,[status(thm),theory(equality)],[13757,9]),
[iquote('0:SpR:13757.0,9.0')] ).
cnf(14403,plain,
equal(rd(mult(u,rd(u,v)),ld(v,unit)),mult(u,u)),
inference(spr,[status(thm),theory(equality)],[13757,933]),
[iquote('0:SpR:13757.0,933.0')] ).
cnf(14470,plain,
equal(ifeq(mult(u,mult(v,mult(ld(w,unit),v))),mult(mult(mult(u,v),ld(w,unit)),v),mult(v,mult(u,mult(v,ld(w,unit)))),rd(mult(v,mult(u,v)),w)),rd(mult(v,mult(u,v)),w)),
inference(spr,[status(thm),theory(equality)],[13757,17]),
[iquote('0:SpR:13757.0,17.0')] ).
cnf(14491,plain,
equal(rd(u,rd(unit,v)),mult(u,v)),
inference(spr,[status(thm),theory(equality)],[44,13757]),
[iquote('0:SpR:44.0,13757.0')] ).
cnf(14506,plain,
equal(rd(u,ld(v,unit)),mult(u,v)),
inference(rew,[status(thm),theory(equality)],[863,14491]),
[iquote('0:Rew:863.0,14491.0')] ).
cnf(14589,plain,
equal(mult(rd(u,v),mult(v,u)),mult(u,u)),
inference(rew,[status(thm),theory(equality)],[1723,14403,14506]),
[iquote('0:Rew:1723.0,14403.0,14506.0,14403.0')] ).
cnf(14801,plain,
equal(ifeq(mult(u,mult(v,mult(ld(w,unit),v))),mult(rd(mult(u,v),w),v),mult(v,mult(u,rd(v,w))),rd(mult(v,mult(u,v)),w)),rd(mult(v,mult(u,v)),w)),
inference(rew,[status(thm),theory(equality)],[13757,14470]),
[iquote('0:Rew:13757.0,14470.0,13757.0,14470.0')] ).
cnf(14802,plain,
equal(ifeq(mult(u,mult(rd(v,w),v)),mult(rd(mult(u,v),w),v),mult(v,mult(u,rd(v,w))),rd(mult(v,mult(u,v)),w)),rd(mult(v,mult(u,v)),w)),
inference(rew,[status(thm),theory(equality)],[14393,14801]),
[iquote('0:Rew:14393.0,14801.0')] ).
cnf(14903,plain,
equal(ld(u,mult(rd(u,v),u)),mult(ld(v,unit),u)),
inference(spr,[status(thm),theory(equality)],[14392,603]),
[iquote('0:SpR:14392.0,603.0')] ).
cnf(14932,plain,
equal(ld(ld(u,v),unit),ld(v,u)),
inference(spr,[status(thm),theory(equality)],[46,14392]),
[iquote('0:SpR:46.0,14392.0')] ).
cnf(14933,plain,
equal(ld(ld(u,ld(u,v)),unit),ld(v,mult(u,u))),
inference(spr,[status(thm),theory(equality)],[7745,14392]),
[iquote('0:SpR:7745.0,14392.0')] ).
cnf(14982,plain,
equal(ld(ld(u,v),u),ld(v,mult(u,u))),
inference(rew,[status(thm),theory(equality)],[14932,14933]),
[iquote('0:Rew:14932.0,14933.0')] ).
cnf(15048,plain,
equal(mult(mult(u,mult(ld(v,unit),w)),mult(w,v)),mult(mult(u,ld(v,unit)),mult(w,mult(w,v)))),
inference(spr,[status(thm),theory(equality)],[14506,165]),
[iquote('0:SpR:14506.0,165.0')] ).
cnf(15137,plain,
equal(mult(mult(u,mult(ld(v,unit),w)),mult(w,v)),mult(rd(u,v),mult(w,mult(w,v)))),
inference(rew,[status(thm),theory(equality)],[13757,15048]),
[iquote('0:Rew:13757.0,15048.0')] ).
cnf(15660,plain,
equal(rd(u,ld(v,w)),mult(u,ld(w,v))),
inference(spr,[status(thm),theory(equality)],[14932,13757]),
[iquote('0:SpR:14932.0,13757.0')] ).
cnf(18786,plain,
equal(mult(rd(ld(u,v),u),v),mult(ld(u,v),ld(u,v))),
inference(spr,[status(thm),theory(equality)],[2,14589]),
[iquote('0:SpR:2.0,14589.0')] ).
cnf(18919,plain,
equal(mult(ld(u,rd(v,u)),v),mult(ld(u,v),ld(u,v))),
inference(rew,[status(thm),theory(equality)],[4501,18786]),
[iquote('0:Rew:4501.0,18786.0')] ).
cnf(18920,plain,
equal(mult(ld(u,rd(v,u)),v),ld(u,mult(v,ld(u,v)))),
inference(rew,[status(thm),theory(equality)],[7307,18919]),
[iquote('0:Rew:7307.0,18919.0')] ).
cnf(18922,plain,
equal(mult(u,ld(u,mult(v,ld(u,v)))),mult(rd(v,u),v)),
inference(rew,[status(thm),theory(equality)],[18920,4655]),
[iquote('0:Rew:18920.0,4655.0')] ).
cnf(18929,plain,
equal(mult(rd(u,v),u),mult(u,ld(v,u))),
inference(rew,[status(thm),theory(equality)],[2,18922]),
[iquote('0:Rew:2.0,18922.0')] ).
cnf(18970,plain,
equal(ifeq(mult(u,mult(v,ld(w,v))),mult(rd(mult(u,v),w),v),mult(v,mult(u,rd(v,w))),rd(mult(v,mult(u,v)),w)),rd(mult(v,mult(u,v)),w)),
inference(rew,[status(thm),theory(equality)],[18929,14802]),
[iquote('0:Rew:18929.0,14802.0')] ).
cnf(19013,plain,
equal(ld(u,mult(u,ld(v,u))),mult(ld(v,unit),u)),
inference(rew,[status(thm),theory(equality)],[18929,14903]),
[iquote('0:Rew:18929.0,14903.0')] ).
cnf(19016,plain,
equal(mult(ld(u,unit),v),ld(u,v)),
inference(rew,[status(thm),theory(equality)],[3,19013]),
[iquote('0:Rew:3.0,19013.0')] ).
cnf(19067,plain,
equal(mult(mult(u,ld(v,w)),mult(w,v)),mult(rd(u,v),mult(w,mult(w,v)))),
inference(rew,[status(thm),theory(equality)],[19016,15137]),
[iquote('0:Rew:19016.0,15137.0')] ).
cnf(19298,plain,
equal(mult(mult(u,mult(ld(v,w),w)),v),mult(rd(u,v),mult(w,mult(w,v)))),
inference(rew,[status(thm),theory(equality)],[19067,167]),
[iquote('0:Rew:19067.0,167.0')] ).
cnf(20477,plain,
equal(rd(ld(u,v),v),ld(u,unit)),
inference(spr,[status(thm),theory(equality)],[19016,5]),
[iquote('0:SpR:19016.0,5.0')] ).
cnf(20549,plain,
equal(rd(mult(mult(u,v),ld(w,mult(v,ld(w,unit)))),ld(w,unit)),mult(u,mult(v,mult(ld(w,unit),v)))),
inference(spr,[status(thm),theory(equality)],[19016,139]),
[iquote('0:SpR:19016.0,139.0')] ).
cnf(20630,plain,
equal(ld(rd(unit,u),v),mult(u,v)),
inference(spr,[status(thm),theory(equality)],[44,19016]),
[iquote('0:SpR:44.0,19016.0')] ).
cnf(20633,plain,
equal(mult(ld(u,v),w),ld(ld(v,u),w)),
inference(spr,[status(thm),theory(equality)],[14932,19016]),
[iquote('0:SpR:14932.0,19016.0')] ).
cnf(20643,plain,
equal(ld(ld(u,unit),v),mult(u,v)),
inference(rew,[status(thm),theory(equality)],[863,20630]),
[iquote('0:Rew:863.0,20630.0')] ).
cnf(20710,plain,
equal(mult(mult(u,ld(ld(v,w),v)),w),mult(rd(u,w),mult(v,mult(v,w)))),
inference(rew,[status(thm),theory(equality)],[20633,19298]),
[iquote('0:Rew:20633.0,19298.0')] ).
cnf(21742,plain,
equal(mult(mult(u,ld(v,mult(w,w))),v),mult(rd(u,v),mult(w,mult(w,v)))),
inference(rew,[status(thm),theory(equality)],[14982,20710]),
[iquote('0:Rew:14982.0,20710.0')] ).
cnf(21876,plain,
equal(rd(mult(mult(u,v),ld(w,rd(v,w))),ld(w,unit)),mult(u,mult(v,mult(ld(w,unit),v)))),
inference(rew,[status(thm),theory(equality)],[13757,20549]),
[iquote('0:Rew:13757.0,20549.0')] ).
cnf(21877,plain,
equal(mult(mult(mult(u,v),ld(w,rd(v,w))),ld(unit,w)),mult(u,mult(v,ld(ld(unit,w),v)))),
inference(rew,[status(thm),theory(equality)],[15660,21876,20633]),
[iquote('0:Rew:15660.0,21876.0,20633.0,21876.0')] ).
cnf(21878,plain,
equal(mult(mult(mult(u,v),ld(w,rd(v,w))),w),mult(u,mult(v,ld(w,v)))),
inference(rew,[status(thm),theory(equality)],[41,21877]),
[iquote('0:Rew:41.0,21877.0')] ).
cnf(22803,plain,
equal(ld(rd(u,v),unit),rd(v,u)),
inference(spr,[status(thm),theory(equality)],[44,20477]),
[iquote('0:SpR:44.0,20477.0')] ).
cnf(22815,plain,
equal(ld(ld(u,rd(v,u)),unit),rd(u,ld(u,v))),
inference(spr,[status(thm),theory(equality)],[5782,20477]),
[iquote('0:SpR:5782.0,20477.0')] ).
cnf(22885,plain,
equal(rd(u,ld(u,v)),ld(rd(v,u),u)),
inference(rew,[status(thm),theory(equality)],[14932,22815]),
[iquote('0:Rew:14932.0,22815.0')] ).
cnf(22886,plain,
equal(mult(u,ld(v,u)),ld(rd(v,u),u)),
inference(rew,[status(thm),theory(equality)],[15660,22885]),
[iquote('0:Rew:15660.0,22885.0')] ).
cnf(23155,plain,
equal(ifeq(mult(u,ld(rd(v,w),w)),mult(rd(mult(u,w),v),w),mult(w,mult(u,rd(w,v))),rd(mult(w,mult(u,w)),v)),rd(mult(w,mult(u,w)),v)),
inference(rew,[status(thm),theory(equality)],[22886,18970]),
[iquote('0:Rew:22886.0,18970.0')] ).
cnf(23157,plain,
equal(mult(mult(mult(u,v),ld(w,rd(v,w))),w),mult(u,ld(rd(w,v),v))),
inference(rew,[status(thm),theory(equality)],[22886,21878]),
[iquote('0:Rew:22886.0,21878.0')] ).
cnf(23841,plain,
equal(mult(rd(u,v),mult(f(w),mult(f(w),v))),mult(mult(u,ld(v,w)),v)),
inference(spr,[status(thm),theory(equality)],[10,21742]),
[iquote('0:SpR:10.0,21742.0')] ).
cnf(23893,plain,
equal(mult(mult(u,ld(v,w)),v),mult(rd(u,v),mult(w,v))),
inference(rew,[status(thm),theory(equality)],[977,23841]),
[iquote('0:Rew:977.0,23841.0')] ).
cnf(23976,plain,
equal(mult(rd(mult(u,v),w),mult(rd(v,w),w)),mult(u,ld(rd(w,v),v))),
inference(rew,[status(thm),theory(equality)],[23893,23157]),
[iquote('0:Rew:23893.0,23157.0')] ).
cnf(24071,plain,
equal(mult(rd(mult(u,v),w),v),mult(u,ld(rd(w,v),v))),
inference(rew,[status(thm),theory(equality)],[4,23976]),
[iquote('0:Rew:4.0,23976.0')] ).
cnf(24072,plain,
equal(ifeq(mult(u,ld(rd(v,w),w)),mult(u,ld(rd(v,w),w)),mult(w,mult(u,rd(w,v))),rd(mult(w,mult(u,w)),v)),rd(mult(w,mult(u,w)),v)),
inference(rew,[status(thm),theory(equality)],[24071,23155]),
[iquote('0:Rew:24071.0,23155.0')] ).
cnf(24214,plain,
equal(rd(mult(u,mult(v,u)),w),mult(u,mult(v,rd(u,w)))),
inference(rew,[status(thm),theory(equality)],[1,24072]),
[iquote('0:Rew:1.0,24072.0')] ).
cnf(24784,plain,
equal(mult(rd(u,v),w),ld(rd(v,u),w)),
inference(spr,[status(thm),theory(equality)],[22803,20643]),
[iquote('0:SpR:22803.0,20643.0')] ).
cnf(25539,plain,
equal(rd(mult(u,mult(v,mult(w,v))),v),ld(rd(w,u),mult(w,mult(v,w)))),
inference(rew,[status(thm),theory(equality)],[24784,3041]),
[iquote('0:Rew:24784.0,3041.0')] ).
cnf(25754,plain,
equal(mult(mult(ld(rd(mult(u,mult(v,u)),w),u),v),mult(u,mult(v,u))),mult(mult(w,v),u)),
inference(rew,[status(thm),theory(equality)],[24784,3704]),
[iquote('0:Rew:24784.0,3704.0')] ).
cnf(26080,plain,
equal(ld(ld(u,ld(v,mult(v,mult(u,rd(v,w))))),mult(v,mult(u,v))),mult(mult(w,u),v)),
inference(rew,[status(thm),theory(equality)],[20633,25754,24214]),
[iquote('0:Rew:20633.0,25754.0,20633.0,25754.0,24214.0,25754.0')] ).
cnf(26081,plain,
equal(ld(rd(u,v),mult(u,mult(w,u))),mult(mult(v,w),u)),
inference(rew,[status(thm),theory(equality)],[3,26080]),
[iquote('0:Rew:3.0,26080.0,3.0,26080.0')] ).
cnf(26084,plain,
equal(rd(mult(u,mult(v,mult(w,v))),v),mult(mult(u,v),w)),
inference(rew,[status(thm),theory(equality)],[26081,25539]),
[iquote('0:Rew:26081.0,25539.0')] ).
cnf(26085,plain,
equal(mult(mult(mult(u,v),w),v),mult(u,mult(v,mult(w,v)))),
inference(rew,[status(thm),theory(equality)],[26084,139]),
[iquote('0:Rew:26084.0,139.0')] ).
cnf(26102,plain,
equal(ifeq(mult(u,mult(v,mult(w,v))),mult(u,mult(v,mult(w,v))),mult(v,mult(u,mult(v,w))),mult(mult(v,mult(u,v)),w)),mult(mult(v,mult(u,v)),w)),
inference(rew,[status(thm),theory(equality)],[26085,17]),
[iquote('0:Rew:26085.0,17.0')] ).
cnf(26513,plain,
equal(mult(mult(u,mult(v,u)),w),mult(u,mult(v,mult(u,w)))),
inference(rew,[status(thm),theory(equality)],[1,26102]),
[iquote('0:Rew:1.0,26102.0')] ).
cnf(26514,plain,
$false,
inference(unc,[status(thm)],[26513,15]),
[iquote('0:UnC:26513.0,15.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP667-10 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 22:57:49 EDT 2022
% 0.12/0.33 % CPUTime :
% 104.42/104.67
% 104.42/104.67 SPASS V 3.9
% 104.42/104.67 SPASS beiseite: Proof found.
% 104.42/104.67 % SZS status Theorem
% 104.42/104.67 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 104.42/104.67 SPASS derived 15108 clauses, backtracked 0 clauses, performed 0 splits and kept 8753 clauses.
% 104.42/104.67 SPASS allocated 162524 KBytes.
% 104.42/104.67 SPASS spent 0:1:44.30 on the problem.
% 104.42/104.67 0:00:00.04 for the input.
% 104.42/104.67 0:00:00.00 for the FLOTTER CNF translation.
% 104.42/104.67 0:00:00.12 for inferences.
% 104.42/104.67 0:00:00.00 for the backtracking.
% 104.42/104.67 0:1:44.11 for the reduction.
% 104.42/104.67
% 104.42/104.67
% 104.42/104.67 Here is a proof with depth 17, length 192 :
% 104.42/104.67 % SZS output start Refutation
% See solution above
% 105.11/105.32 Formulae used in the proof : ifeq_axiom f01 f02 f03 f04 f05 f06 f07 f08 f09 f10 f11 goals
% 105.11/105.32
%------------------------------------------------------------------------------