TSTP Solution File: KLE092+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KLE092+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 : Sun Jul 17 02:28:28 EDT 2022
% Result : Theorem 4.06s 4.26s
% Output : Refutation 4.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of clauses : 102 ( 102 unt; 0 nHn; 102 RR)
% Number of literals : 102 ( 0 equ; 1 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 : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(addition(u,zero),u),
file('KLE092+1.p',unknown),
[] ).
cnf(2,axiom,
equal(addition(u,u),u),
file('KLE092+1.p',unknown),
[] ).
cnf(3,axiom,
equal(multiplication(u,one),u),
file('KLE092+1.p',unknown),
[] ).
cnf(4,axiom,
equal(multiplication(one,u),u),
file('KLE092+1.p',unknown),
[] ).
cnf(7,axiom,
equal(multiplication(antidomain(u),u),zero),
file('KLE092+1.p',unknown),
[] ).
cnf(8,axiom,
equal(antidomain(antidomain(u)),domain__dfg(u)),
file('KLE092+1.p',unknown),
[] ).
cnf(9,axiom,
equal(multiplication(u,coantidomain(u)),zero),
file('KLE092+1.p',unknown),
[] ).
cnf(11,axiom,
~ equal(domain__dfg(coantidomain(skc1)),coantidomain(skc1)),
file('KLE092+1.p',unknown),
[] ).
cnf(12,axiom,
equal(addition(u,v),addition(v,u)),
file('KLE092+1.p',unknown),
[] ).
cnf(13,axiom,
equal(addition(antidomain(antidomain(u)),antidomain(u)),one),
file('KLE092+1.p',unknown),
[] ).
cnf(14,axiom,
equal(addition(coantidomain(coantidomain(u)),coantidomain(u)),one),
file('KLE092+1.p',unknown),
[] ).
cnf(17,axiom,
equal(addition(addition(u,v),w),addition(u,addition(v,w))),
file('KLE092+1.p',unknown),
[] ).
cnf(18,axiom,
equal(multiplication(multiplication(u,v),w),multiplication(u,multiplication(v,w))),
file('KLE092+1.p',unknown),
[] ).
cnf(19,axiom,
equal(multiplication(u,addition(v,w)),addition(multiplication(u,v),multiplication(u,w))),
file('KLE092+1.p',unknown),
[] ).
cnf(20,axiom,
equal(multiplication(addition(u,v),w),addition(multiplication(u,w),multiplication(v,w))),
file('KLE092+1.p',unknown),
[] ).
cnf(21,axiom,
equal(addition(antidomain(multiplication(u,v)),antidomain(multiplication(u,antidomain(antidomain(v))))),antidomain(multiplication(u,antidomain(antidomain(v))))),
file('KLE092+1.p',unknown),
[] ).
cnf(22,axiom,
equal(addition(coantidomain(multiplication(u,v)),coantidomain(multiplication(coantidomain(coantidomain(u)),v))),coantidomain(multiplication(coantidomain(coantidomain(u)),v))),
file('KLE092+1.p',unknown),
[] ).
cnf(23,plain,
equal(addition(coantidomain(u),coantidomain(coantidomain(u))),one),
inference(rew,[status(thm),theory(equality)],[12,14]),
[iquote('0:Rew:12.0,14.0')] ).
cnf(24,plain,
equal(addition(domain__dfg(u),antidomain(u)),one),
inference(rew,[status(thm),theory(equality)],[8,13]),
[iquote('0:Rew:8.0,13.0')] ).
cnf(25,plain,
equal(addition(antidomain(multiplication(u,v)),antidomain(multiplication(u,domain__dfg(v)))),antidomain(multiplication(u,domain__dfg(v)))),
inference(rew,[status(thm),theory(equality)],[8,21]),
[iquote('0:Rew:8.0,21.0')] ).
cnf(39,plain,
equal(antidomain(one),zero),
inference(spr,[status(thm),theory(equality)],[7,3]),
[iquote('0:SpR:7.0,3.0')] ).
cnf(43,plain,
equal(coantidomain(one),zero),
inference(spr,[status(thm),theory(equality)],[9,4]),
[iquote('0:SpR:9.0,4.0')] ).
cnf(46,plain,
equal(antidomain(domain__dfg(u)),domain__dfg(antidomain(u))),
inference(spr,[status(thm),theory(equality)],[8]),
[iquote('0:SpR:8.0,8.0')] ).
cnf(48,plain,
equal(antidomain(zero),domain__dfg(one)),
inference(spr,[status(thm),theory(equality)],[39,8]),
[iquote('0:SpR:39.0,8.0')] ).
cnf(58,plain,
equal(addition(domain__dfg(one),zero),one),
inference(spr,[status(thm),theory(equality)],[39,24]),
[iquote('0:SpR:39.0,24.0')] ).
cnf(61,plain,
equal(domain__dfg(one),one),
inference(rew,[status(thm),theory(equality)],[1,58]),
[iquote('0:Rew:1.0,58.0')] ).
cnf(62,plain,
equal(antidomain(zero),one),
inference(rew,[status(thm),theory(equality)],[61,48]),
[iquote('0:Rew:61.0,48.0')] ).
cnf(79,plain,
equal(addition(zero,u),u),
inference(spr,[status(thm),theory(equality)],[12,1]),
[iquote('0:SpR:12.0,1.0')] ).
cnf(111,plain,
equal(addition(zero,coantidomain(zero)),one),
inference(spr,[status(thm),theory(equality)],[43,23]),
[iquote('0:SpR:43.0,23.0')] ).
cnf(113,plain,
equal(coantidomain(zero),one),
inference(rew,[status(thm),theory(equality)],[79,111]),
[iquote('0:Rew:79.0,111.0')] ).
cnf(256,plain,
equal(addition(u,addition(u,v)),addition(u,v)),
inference(spr,[status(thm),theory(equality)],[2,17]),
[iquote('0:SpR:2.0,17.0')] ).
cnf(259,plain,
equal(addition(domain__dfg(u),addition(antidomain(u),v)),addition(one,v)),
inference(spr,[status(thm),theory(equality)],[24,17]),
[iquote('0:SpR:24.0,17.0')] ).
cnf(329,plain,
equal(addition(domain__dfg(u),one),one),
inference(spr,[status(thm),theory(equality)],[24,256]),
[iquote('0:SpR:24.0,256.0')] ).
cnf(335,plain,
equal(addition(coantidomain(u),one),one),
inference(spr,[status(thm),theory(equality)],[23,256]),
[iquote('0:SpR:23.0,256.0')] ).
cnf(339,plain,
equal(addition(one,domain__dfg(u)),one),
inference(rew,[status(thm),theory(equality)],[12,329]),
[iquote('0:Rew:12.0,329.0')] ).
cnf(341,plain,
equal(addition(one,coantidomain(u)),one),
inference(rew,[status(thm),theory(equality)],[12,335]),
[iquote('0:Rew:12.0,335.0')] ).
cnf(350,plain,
equal(addition(multiplication(u,coantidomain(addition(u,v))),multiplication(v,coantidomain(addition(u,v)))),zero),
inference(spr,[status(thm),theory(equality)],[20,9]),
[iquote('0:SpR:20.0,9.0')] ).
cnf(360,plain,
equal(addition(multiplication(domain__dfg(u),v),multiplication(antidomain(u),v)),multiplication(one,v)),
inference(spr,[status(thm),theory(equality)],[24,20]),
[iquote('0:SpR:24.0,20.0')] ).
cnf(366,plain,
equal(addition(multiplication(coantidomain(u),v),multiplication(coantidomain(coantidomain(u)),v)),multiplication(one,v)),
inference(spr,[status(thm),theory(equality)],[23,20]),
[iquote('0:SpR:23.0,20.0')] ).
cnf(373,plain,
equal(addition(multiplication(domain__dfg(u),v),multiplication(antidomain(u),v)),v),
inference(rew,[status(thm),theory(equality)],[4,360]),
[iquote('0:Rew:4.0,360.0')] ).
cnf(377,plain,
equal(addition(multiplication(coantidomain(u),v),multiplication(coantidomain(coantidomain(u)),v)),v),
inference(rew,[status(thm),theory(equality)],[4,366]),
[iquote('0:Rew:4.0,366.0')] ).
cnf(427,plain,
equal(addition(multiplication(u,domain__dfg(v)),multiplication(u,antidomain(v))),multiplication(u,one)),
inference(spr,[status(thm),theory(equality)],[24,19]),
[iquote('0:SpR:24.0,19.0')] ).
cnf(433,plain,
equal(addition(multiplication(u,coantidomain(v)),multiplication(u,coantidomain(coantidomain(v)))),multiplication(u,one)),
inference(spr,[status(thm),theory(equality)],[23,19]),
[iquote('0:SpR:23.0,19.0')] ).
cnf(442,plain,
equal(addition(multiplication(u,domain__dfg(v)),multiplication(u,antidomain(v))),u),
inference(rew,[status(thm),theory(equality)],[3,427]),
[iquote('0:Rew:3.0,427.0')] ).
cnf(446,plain,
equal(addition(multiplication(u,coantidomain(v)),multiplication(u,coantidomain(coantidomain(v)))),u),
inference(rew,[status(thm),theory(equality)],[3,433]),
[iquote('0:Rew:3.0,433.0')] ).
cnf(464,plain,
equal(addition(multiplication(u,one),multiplication(u,domain__dfg(v))),multiplication(u,one)),
inference(spr,[status(thm),theory(equality)],[339,19]),
[iquote('0:SpR:339.0,19.0')] ).
cnf(472,plain,
equal(addition(u,multiplication(u,domain__dfg(v))),u),
inference(rew,[status(thm),theory(equality)],[3,464]),
[iquote('0:Rew:3.0,464.0')] ).
cnf(480,plain,
equal(addition(multiplication(u,one),multiplication(u,coantidomain(v))),multiplication(u,one)),
inference(spr,[status(thm),theory(equality)],[341,19]),
[iquote('0:SpR:341.0,19.0')] ).
cnf(488,plain,
equal(addition(u,multiplication(u,coantidomain(v))),u),
inference(rew,[status(thm),theory(equality)],[3,480]),
[iquote('0:Rew:3.0,480.0')] ).
cnf(538,plain,
equal(addition(antidomain(zero),antidomain(multiplication(u,domain__dfg(coantidomain(u))))),antidomain(multiplication(u,domain__dfg(coantidomain(u))))),
inference(spr,[status(thm),theory(equality)],[9,25]),
[iquote('0:SpR:9.0,25.0')] ).
cnf(560,plain,
equal(addition(one,antidomain(multiplication(u,domain__dfg(coantidomain(u))))),antidomain(multiplication(u,domain__dfg(coantidomain(u))))),
inference(rew,[status(thm),theory(equality)],[62,538]),
[iquote('0:Rew:62.0,538.0')] ).
cnf(633,plain,
equal(addition(coantidomain(zero),coantidomain(multiplication(coantidomain(coantidomain(antidomain(u))),u))),coantidomain(multiplication(coantidomain(coantidomain(antidomain(u))),u))),
inference(spr,[status(thm),theory(equality)],[7,22]),
[iquote('0:SpR:7.0,22.0')] ).
cnf(658,plain,
equal(coantidomain(multiplication(coantidomain(coantidomain(antidomain(u))),u)),one),
inference(rew,[status(thm),theory(equality)],[341,633,113]),
[iquote('0:Rew:341.0,633.0,113.0,633.0')] ).
cnf(723,plain,
equal(multiplication(multiplication(coantidomain(coantidomain(antidomain(u))),u),one),zero),
inference(spr,[status(thm),theory(equality)],[658,9]),
[iquote('0:SpR:658.0,9.0')] ).
cnf(745,plain,
equal(multiplication(coantidomain(coantidomain(antidomain(u))),u),zero),
inference(rew,[status(thm),theory(equality)],[3,723,18]),
[iquote('0:Rew:3.0,723.0,18.0,723.0')] ).
cnf(831,plain,
equal(multiplication(coantidomain(coantidomain(domain__dfg(antidomain(u)))),domain__dfg(u)),zero),
inference(spr,[status(thm),theory(equality)],[46,745]),
[iquote('0:SpR:46.0,745.0')] ).
cnf(1482,plain,
equal(addition(domain__dfg(u),antidomain(u)),addition(one,antidomain(u))),
inference(spr,[status(thm),theory(equality)],[2,259]),
[iquote('0:SpR:2.0,259.0')] ).
cnf(1502,plain,
equal(addition(one,antidomain(u)),one),
inference(rew,[status(thm),theory(equality)],[24,1482]),
[iquote('0:Rew:24.0,1482.0')] ).
cnf(1511,plain,
equal(antidomain(multiplication(u,domain__dfg(coantidomain(u)))),one),
inference(rew,[status(thm),theory(equality)],[1502,560]),
[iquote('0:Rew:1502.0,560.0')] ).
cnf(1554,plain,
equal(multiplication(one,multiplication(u,domain__dfg(coantidomain(u)))),zero),
inference(spr,[status(thm),theory(equality)],[1511,7]),
[iquote('0:SpR:1511.0,7.0')] ).
cnf(1595,plain,
equal(multiplication(u,domain__dfg(coantidomain(u))),zero),
inference(rew,[status(thm),theory(equality)],[4,1554]),
[iquote('0:Rew:4.0,1554.0')] ).
cnf(1733,plain,
equal(addition(multiplication(domain__dfg(u),u),zero),u),
inference(spr,[status(thm),theory(equality)],[7,373]),
[iquote('0:SpR:7.0,373.0')] ).
cnf(1758,plain,
equal(multiplication(domain__dfg(u),u),u),
inference(rew,[status(thm),theory(equality)],[79,1733,12]),
[iquote('0:Rew:79.0,1733.0,12.0,1733.0')] ).
cnf(1884,plain,
equal(addition(zero,multiplication(antidomain(domain__dfg(u)),antidomain(u))),antidomain(domain__dfg(u))),
inference(spr,[status(thm),theory(equality)],[7,442]),
[iquote('0:SpR:7.0,442.0')] ).
cnf(1886,plain,
equal(addition(zero,multiplication(u,antidomain(coantidomain(u)))),u),
inference(spr,[status(thm),theory(equality)],[1595,442]),
[iquote('0:SpR:1595.0,442.0')] ).
cnf(1899,plain,
equal(multiplication(u,antidomain(coantidomain(u))),u),
inference(rew,[status(thm),theory(equality)],[79,1886]),
[iquote('0:Rew:79.0,1886.0')] ).
cnf(1908,plain,
equal(domain__dfg(antidomain(u)),antidomain(u)),
inference(rew,[status(thm),theory(equality)],[79,1884,1758,46]),
[iquote('0:Rew:79.0,1884.0,1758.0,1884.0,46.0,1884.0')] ).
cnf(1909,plain,
equal(antidomain(domain__dfg(u)),antidomain(u)),
inference(rew,[status(thm),theory(equality)],[1908,46]),
[iquote('0:Rew:1908.0,46.0')] ).
cnf(1943,plain,
equal(multiplication(coantidomain(coantidomain(antidomain(u))),domain__dfg(u)),zero),
inference(rew,[status(thm),theory(equality)],[1908,831]),
[iquote('0:Rew:1908.0,831.0')] ).
cnf(3220,plain,
equal(addition(multiplication(coantidomain(antidomain(u)),u),zero),u),
inference(spr,[status(thm),theory(equality)],[745,377]),
[iquote('0:SpR:745.0,377.0')] ).
cnf(3223,plain,
equal(addition(multiplication(coantidomain(u),coantidomain(coantidomain(coantidomain(u)))),zero),coantidomain(coantidomain(coantidomain(u)))),
inference(spr,[status(thm),theory(equality)],[9,377]),
[iquote('0:SpR:9.0,377.0')] ).
cnf(3246,plain,
equal(multiplication(coantidomain(antidomain(u)),u),u),
inference(rew,[status(thm),theory(equality)],[79,3220,12]),
[iquote('0:Rew:79.0,3220.0,12.0,3220.0')] ).
cnf(3257,plain,
equal(multiplication(coantidomain(u),coantidomain(coantidomain(coantidomain(u)))),coantidomain(coantidomain(coantidomain(u)))),
inference(rew,[status(thm),theory(equality)],[79,3223,12]),
[iquote('0:Rew:79.0,3223.0,12.0,3223.0')] ).
cnf(3286,plain,
equal(addition(domain__dfg(u),multiplication(coantidomain(antidomain(domain__dfg(u))),antidomain(u))),coantidomain(antidomain(domain__dfg(u)))),
inference(spr,[status(thm),theory(equality)],[3246,442]),
[iquote('0:SpR:3246.0,442.0')] ).
cnf(3287,plain,
equal(addition(multiplication(coantidomain(antidomain(antidomain(u))),domain__dfg(u)),antidomain(u)),coantidomain(antidomain(antidomain(u)))),
inference(spr,[status(thm),theory(equality)],[3246,442]),
[iquote('0:SpR:3246.0,442.0')] ).
cnf(3306,plain,
equal(addition(domain__dfg(u),multiplication(coantidomain(antidomain(u)),antidomain(u))),coantidomain(antidomain(u))),
inference(rew,[status(thm),theory(equality)],[1909,3286]),
[iquote('0:Rew:1909.0,3286.0')] ).
cnf(3307,plain,
equal(addition(antidomain(u),multiplication(coantidomain(domain__dfg(u)),domain__dfg(u))),coantidomain(domain__dfg(u))),
inference(rew,[status(thm),theory(equality)],[12,3287,8]),
[iquote('0:Rew:12.0,3287.0,8.0,3287.0')] ).
cnf(3370,plain,
equal(addition(multiplication(domain__dfg(coantidomain(coantidomain(u))),coantidomain(u)),coantidomain(coantidomain(u))),domain__dfg(coantidomain(coantidomain(u)))),
inference(spr,[status(thm),theory(equality)],[1758,446]),
[iquote('0:SpR:1758.0,446.0')] ).
cnf(3381,plain,
equal(addition(zero,multiplication(u,coantidomain(coantidomain(u)))),u),
inference(spr,[status(thm),theory(equality)],[9,446]),
[iquote('0:SpR:9.0,446.0')] ).
cnf(3390,plain,
equal(multiplication(u,coantidomain(coantidomain(u))),u),
inference(rew,[status(thm),theory(equality)],[79,3381]),
[iquote('0:Rew:79.0,3381.0')] ).
cnf(3391,plain,
equal(coantidomain(coantidomain(coantidomain(u))),coantidomain(u)),
inference(rew,[status(thm),theory(equality)],[3390,3257]),
[iquote('0:Rew:3390.0,3257.0')] ).
cnf(3427,plain,
equal(addition(coantidomain(coantidomain(u)),multiplication(domain__dfg(coantidomain(coantidomain(u))),coantidomain(u))),domain__dfg(coantidomain(coantidomain(u)))),
inference(rew,[status(thm),theory(equality)],[12,3370]),
[iquote('0:Rew:12.0,3370.0')] ).
cnf(4152,plain,
equal(addition(multiplication(u,coantidomain(u)),multiplication(multiplication(u,domain__dfg(v)),coantidomain(u))),zero),
inference(spr,[status(thm),theory(equality)],[472,350]),
[iquote('0:SpR:472.0,350.0')] ).
cnf(4153,plain,
equal(addition(multiplication(u,coantidomain(u)),multiplication(multiplication(u,coantidomain(v)),coantidomain(u))),zero),
inference(spr,[status(thm),theory(equality)],[488,350]),
[iquote('0:SpR:488.0,350.0')] ).
cnf(4163,plain,
equal(addition(multiplication(multiplication(u,domain__dfg(v)),coantidomain(u)),multiplication(multiplication(u,antidomain(v)),coantidomain(u))),zero),
inference(spr,[status(thm),theory(equality)],[442,350]),
[iquote('0:SpR:442.0,350.0')] ).
cnf(4252,plain,
equal(multiplication(u,multiplication(domain__dfg(v),coantidomain(u))),zero),
inference(rew,[status(thm),theory(equality)],[79,4152,9,18]),
[iquote('0:Rew:79.0,4152.0,9.0,4152.0,18.0,4152.0')] ).
cnf(4253,plain,
equal(multiplication(u,multiplication(coantidomain(v),coantidomain(u))),zero),
inference(rew,[status(thm),theory(equality)],[79,4153,9,18]),
[iquote('0:Rew:79.0,4153.0,9.0,4153.0,18.0,4153.0')] ).
cnf(4272,plain,
equal(addition(multiplication(u,multiplication(domain__dfg(v),coantidomain(u))),multiplication(u,multiplication(antidomain(v),coantidomain(u)))),zero),
inference(rew,[status(thm),theory(equality)],[18,4163]),
[iquote('0:Rew:18.0,4163.0,18.0,4163.0')] ).
cnf(4273,plain,
equal(addition(zero,multiplication(u,multiplication(antidomain(v),coantidomain(u)))),zero),
inference(rew,[status(thm),theory(equality)],[4252,4272]),
[iquote('0:Rew:4252.0,4272.0')] ).
cnf(4274,plain,
equal(multiplication(u,multiplication(antidomain(v),coantidomain(u))),zero),
inference(rew,[status(thm),theory(equality)],[79,4273]),
[iquote('0:Rew:79.0,4273.0')] ).
cnf(15206,plain,
equal(multiplication(coantidomain(antidomain(u)),antidomain(u)),zero),
inference(spr,[status(thm),theory(equality)],[3390,4274]),
[iquote('0:SpR:3390.0,4274.0')] ).
cnf(15217,plain,
equal(addition(domain__dfg(u),zero),coantidomain(antidomain(u))),
inference(rew,[status(thm),theory(equality)],[15206,3306]),
[iquote('0:Rew:15206.0,3306.0')] ).
cnf(15218,plain,
equal(coantidomain(antidomain(u)),domain__dfg(u)),
inference(rew,[status(thm),theory(equality)],[79,15217,12]),
[iquote('0:Rew:79.0,15217.0,12.0,15217.0')] ).
cnf(15223,plain,
equal(multiplication(coantidomain(domain__dfg(u)),domain__dfg(u)),zero),
inference(rew,[status(thm),theory(equality)],[15218,1943]),
[iquote('0:Rew:15218.0,1943.0')] ).
cnf(15389,plain,
equal(addition(antidomain(u),zero),coantidomain(domain__dfg(u))),
inference(rew,[status(thm),theory(equality)],[15223,3307]),
[iquote('0:Rew:15223.0,3307.0')] ).
cnf(15394,plain,
equal(antidomain(u),coantidomain(domain__dfg(u))),
inference(rew,[status(thm),theory(equality)],[79,15389,12]),
[iquote('0:Rew:79.0,15389.0,12.0,15389.0')] ).
cnf(15406,plain,
equal(multiplication(u,coantidomain(domain__dfg(coantidomain(u)))),u),
inference(rew,[status(thm),theory(equality)],[15394,1899]),
[iquote('0:Rew:15394.0,1899.0')] ).
cnf(18423,plain,
equal(multiplication(domain__dfg(coantidomain(coantidomain(u))),coantidomain(u)),zero),
inference(spr,[status(thm),theory(equality)],[15406,4253]),
[iquote('0:SpR:15406.0,4253.0')] ).
cnf(18434,plain,
equal(addition(coantidomain(coantidomain(u)),zero),domain__dfg(coantidomain(coantidomain(u)))),
inference(rew,[status(thm),theory(equality)],[18423,3427]),
[iquote('0:Rew:18423.0,3427.0')] ).
cnf(18437,plain,
equal(domain__dfg(coantidomain(coantidomain(u))),coantidomain(coantidomain(u))),
inference(rew,[status(thm),theory(equality)],[79,18434,12]),
[iquote('0:Rew:79.0,18434.0,12.0,18434.0')] ).
cnf(18583,plain,
equal(domain__dfg(coantidomain(u)),coantidomain(u)),
inference(spr,[status(thm),theory(equality)],[3391,18437]),
[iquote('0:SpR:3391.0,18437.0')] ).
cnf(18597,plain,
$false,
inference(unc,[status(thm)],[18583,11]),
[iquote('0:UnC:18583.0,11.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE092+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 15:05:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 4.06/4.26
% 4.06/4.26 SPASS V 3.9
% 4.06/4.26 SPASS beiseite: Proof found.
% 4.06/4.26 % SZS status Theorem
% 4.06/4.26 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.06/4.26 SPASS derived 12241 clauses, backtracked 0 clauses, performed 0 splits and kept 2790 clauses.
% 4.06/4.26 SPASS allocated 104730 KBytes.
% 4.06/4.26 SPASS spent 0:00:03.91 on the problem.
% 4.06/4.26 0:00:00.04 for the input.
% 4.06/4.26 0:00:00.03 for the FLOTTER CNF translation.
% 4.06/4.26 0:00:00.08 for inferences.
% 4.06/4.26 0:00:00.00 for the backtracking.
% 4.06/4.26 0:00:03.73 for the reduction.
% 4.06/4.26
% 4.06/4.26
% 4.06/4.26 Here is a proof with depth 5, length 102 :
% 4.06/4.26 % SZS output start Refutation
% See solution above
% 4.12/4.35 Formulae used in the proof : additive_identity additive_idempotence multiplicative_right_identity multiplicative_left_identity domain1 domain4 codomain1 goals additive_commutativity domain3 codomain3 additive_associativity multiplicative_associativity right_distributivity left_distributivity domain2 codomain2
% 4.12/4.35
%------------------------------------------------------------------------------