TSTP Solution File: KRS009-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS009-1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 03:30:16 EDT 2022
% Result : Satisfiable 0.19s 0.43s
% Output : Saturation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 368)
% Comments :
%------------------------------------------------------------------------------
cnf(369,plain,
( s1most(u)
| r1most(u)
| t3least(u)
| equalish(u10r2(u),u9r2(u))
| equalish(u9r1(u),u9r2(u))
| equalish(u9r1(u),u10r2(u)) ),
inference(obv,[status(thm),theory(equality)],[368]),
[iquote('0:Obv:368.0')] ).
cnf(316,plain,
( ~ r(u,v)
| s1most(u)
| r1most(u)
| t3least(u)
| equalish(u10r2(u),u9r2(u))
| equalish(v,u9r2(u))
| equalish(v,u10r2(u)) ),
inference(res,[status(thm),theory(equality)],[17,273]),
[iquote('0:Res:17.1,273.0')] ).
cnf(317,plain,
( ~ s(u,v)
| s1most(u)
| r1most(u)
| t3least(u)
| equalish(u10r2(u),u9r2(u))
| equalish(v,u9r2(u))
| equalish(v,u10r2(u)) ),
inference(res,[status(thm),theory(equality)],[19,273]),
[iquote('0:Res:19.1,273.0')] ).
cnf(361,plain,
( s1most(u)
| r1most(u)
| t3least(u)
| equalish(u10r1(u),u9r2(u))
| equalish(u9r1(u),u9r2(u))
| equalish(u9r1(u),u10r1(u)) ),
inference(obv,[status(thm),theory(equality)],[360]),
[iquote('0:Obv:360.0')] ).
cnf(311,plain,
( ~ r(u,v)
| s1most(u)
| r1most(u)
| t3least(u)
| equalish(u10r1(u),u9r2(u))
| equalish(v,u9r2(u))
| equalish(v,u10r1(u)) ),
inference(res,[status(thm),theory(equality)],[17,274]),
[iquote('0:Res:17.1,274.0')] ).
cnf(358,plain,
( s1most(u)
| r1most(u)
| t3least(u)
| equalish(u10r1(u),u9r2(u))
| equalish(u10r2(u),u9r2(u)) ),
inference(mrr,[status(thm)],[357,38]),
[iquote('0:MRR:357.5,38.0')] ).
cnf(353,plain,
( s1most(u)
| r1most(u)
| t3least(u)
| equalish(u10r2(u),u9r1(u))
| equalish(u9r2(u),u10r2(u)) ),
inference(mrr,[status(thm)],[352,34]),
[iquote('0:MRR:352.4,34.0')] ).
cnf(312,plain,
( ~ s(u,v)
| s1most(u)
| r1most(u)
| t3least(u)
| equalish(u10r1(u),u9r2(u))
| equalish(v,u9r2(u))
| equalish(v,u10r1(u)) ),
inference(res,[status(thm),theory(equality)],[19,274]),
[iquote('0:Res:19.1,274.0')] ).
cnf(306,plain,
( ~ r(u,v)
| s1most(u)
| r1most(u)
| t3least(u)
| equalish(u10r2(u),u9r1(u))
| equalish(v,u9r1(u))
| equalish(v,u10r2(u)) ),
inference(res,[status(thm),theory(equality)],[17,247]),
[iquote('0:Res:17.1,247.0')] ).
cnf(307,plain,
( ~ s(u,v)
| s1most(u)
| r1most(u)
| t3least(u)
| equalish(u10r2(u),u9r1(u))
| equalish(v,u9r1(u))
| equalish(v,u10r2(u)) ),
inference(res,[status(thm),theory(equality)],[19,247]),
[iquote('0:Res:19.1,247.0')] ).
cnf(344,plain,
( s1most(u)
| r1most(u)
| t3least(u)
| equalish(u10r1(u),u9r1(u))
| equalish(u9r2(u),u10r1(u)) ),
inference(mrr,[status(thm)],[343,34]),
[iquote('0:MRR:343.4,34.0')] ).
cnf(339,plain,
( s1most(u)
| r1most(u)
| t3least(u)
| equalish(u10r1(u),u9r1(u))
| equalish(u10r2(u),u9r1(u)) ),
inference(mrr,[status(thm)],[338,38]),
[iquote('0:MRR:338.5,38.0')] ).
cnf(288,plain,
( ~ r(u,v)
| s1most(u)
| r1most(u)
| t3least(u)
| equalish(u10r1(u),u9r1(u))
| equalish(v,u9r1(u))
| equalish(v,u10r1(u)) ),
inference(res,[status(thm),theory(equality)],[17,248]),
[iquote('0:Res:17.1,248.0')] ).
cnf(289,plain,
( ~ s(u,v)
| s1most(u)
| r1most(u)
| t3least(u)
| equalish(u10r1(u),u9r1(u))
| equalish(v,u9r1(u))
| equalish(v,u10r1(u)) ),
inference(res,[status(thm),theory(equality)],[19,248]),
[iquote('0:Res:19.1,248.0')] ).
cnf(283,plain,
( ~ r(u,v)
| r1most(u)
| s1most(u)
| t3least(u)
| equalish(u9r2(u),u10r2(u))
| equalish(v,u10r2(u))
| equalish(v,u9r2(u)) ),
inference(res,[status(thm),theory(equality)],[17,236]),
[iquote('0:Res:17.1,236.0')] ).
cnf(329,plain,
( r1most(u)
| s1most(u)
| t3least(u)
| equalish(u9r2(u),u10r2(u))
| equalish(u10r1(u),u10r2(u))
| equalish(u10r1(u),u9r2(u)) ),
inference(obv,[status(thm),theory(equality)],[328]),
[iquote('0:Obv:328.0')] ).
cnf(326,plain,
( r1most(u)
| s1most(u)
| t3least(u)
| equalish(u9r1(u),u10r2(u))
| equalish(u9r2(u),u10r2(u)) ),
inference(mrr,[status(thm)],[325,34]),
[iquote('0:MRR:325.5,34.0')] ).
cnf(284,plain,
( ~ s(u,v)
| r1most(u)
| s1most(u)
| t3least(u)
| equalish(u9r2(u),u10r2(u))
| equalish(v,u10r2(u))
| equalish(v,u9r2(u)) ),
inference(res,[status(thm),theory(equality)],[19,236]),
[iquote('0:Res:19.1,236.0')] ).
cnf(278,plain,
( ~ r(u,v)
| r1most(u)
| s1most(u)
| t3least(u)
| equalish(u9r1(u),u10r2(u))
| equalish(v,u10r2(u))
| equalish(v,u9r1(u)) ),
inference(res,[status(thm),theory(equality)],[17,237]),
[iquote('0:Res:17.1,237.0')] ).
cnf(320,plain,
( r1most(u)
| s1most(u)
| t3least(u)
| equalish(u9r1(u),u10r2(u))
| equalish(u10r1(u),u10r2(u))
| equalish(u10r1(u),u9r1(u)) ),
inference(obv,[status(thm),theory(equality)],[319]),
[iquote('0:Obv:319.0')] ).
cnf(279,plain,
( ~ s(u,v)
| r1most(u)
| s1most(u)
| t3least(u)
| equalish(u9r1(u),u10r2(u))
| equalish(v,u10r2(u))
| equalish(v,u9r1(u)) ),
inference(res,[status(thm),theory(equality)],[19,237]),
[iquote('0:Res:19.1,237.0')] ).
cnf(273,plain,
( ~ t(u,v)
| s1most(u)
| r1most(u)
| t3least(u)
| equalish(u10r2(u),u9r2(u))
| equalish(v,u9r2(u))
| equalish(v,u10r2(u)) ),
inference(res,[status(thm),theory(equality)],[40,209]),
[iquote('0:Res:40.1,209.0')] ).
cnf(274,plain,
( ~ t(u,v)
| s1most(u)
| r1most(u)
| t3least(u)
| equalish(u10r1(u),u9r2(u))
| equalish(v,u9r2(u))
| equalish(v,u10r1(u)) ),
inference(res,[status(thm),theory(equality)],[39,209]),
[iquote('0:Res:39.1,209.0')] ).
cnf(247,plain,
( ~ t(u,v)
| s1most(u)
| r1most(u)
| t3least(u)
| equalish(u10r2(u),u9r1(u))
| equalish(v,u9r1(u))
| equalish(v,u10r2(u)) ),
inference(res,[status(thm),theory(equality)],[40,197]),
[iquote('0:Res:40.1,197.0')] ).
cnf(301,plain,
( r1most(u)
| t3least(u)
| equalish(u9r2(u),u9r2(u)) ),
inference(obv,[status(thm),theory(equality)],[299]),
[iquote('0:Obv:299.3')] ).
cnf(208,plain,
( ~ r(u,v)
| ~ t(u,w)
| r1most(u)
| t3least(u)
| equalish(v,u9r2(u))
| equalish(w,u9r2(u))
| equalish(w,v) ),
inference(res,[status(thm),theory(equality)],[17,184]),
[iquote('0:Res:17.1,184.0')] ).
cnf(248,plain,
( ~ t(u,v)
| s1most(u)
| r1most(u)
| t3least(u)
| equalish(u10r1(u),u9r1(u))
| equalish(v,u9r1(u))
| equalish(v,u10r1(u)) ),
inference(res,[status(thm),theory(equality)],[39,197]),
[iquote('0:Res:39.1,197.0')] ).
cnf(236,plain,
( ~ t(u,v)
| r1most(u)
| s1most(u)
| t3least(u)
| equalish(u9r2(u),u10r2(u))
| equalish(v,u10r2(u))
| equalish(v,u9r2(u)) ),
inference(res,[status(thm),theory(equality)],[36,177]),
[iquote('0:Res:36.1,177.0')] ).
cnf(237,plain,
( ~ t(u,v)
| r1most(u)
| s1most(u)
| t3least(u)
| equalish(u9r1(u),u10r2(u))
| equalish(v,u10r2(u))
| equalish(v,u9r1(u)) ),
inference(res,[status(thm),theory(equality)],[35,177]),
[iquote('0:Res:35.1,177.0')] ).
cnf(271,plain,
( r1most(u)
| t3least(u)
| equalish(u9r1(u),u9r1(u)) ),
inference(mrr,[status(thm)],[270,34]),
[iquote('0:MRR:270.3,34.0')] ).
cnf(209,plain,
( ~ s(u,v)
| ~ t(u,w)
| r1most(u)
| t3least(u)
| equalish(v,u9r2(u))
| equalish(w,u9r2(u))
| equalish(w,v) ),
inference(res,[status(thm),theory(equality)],[19,184]),
[iquote('0:Res:19.1,184.0')] ).
cnf(262,plain,
( ~ t(u,v)
| r1most(u)
| t3least(u)
| equalish(v,u9r1(u))
| equalish(v,u9r2(u)) ),
inference(mrr,[status(thm)],[261,34]),
[iquote('0:MRR:261.3,34.0')] ).
cnf(196,plain,
( ~ r(u,v)
| ~ t(u,w)
| r1most(u)
| t3least(u)
| equalish(v,u9r1(u))
| equalish(w,u9r1(u))
| equalish(w,v) ),
inference(res,[status(thm),theory(equality)],[17,185]),
[iquote('0:Res:17.1,185.0')] ).
cnf(218,plain,
( ~ r(u,v)
| r1most(u)
| s1most(u)
| t3least(u)
| equalish(u9r2(u),u10r1(u))
| equalish(v,u10r1(u))
| equalish(v,u9r2(u)) ),
inference(res,[status(thm),theory(equality)],[17,203]),
[iquote('0:Res:17.1,203.0')] ).
cnf(253,plain,
( r1most(u)
| s1most(u)
| t3least(u)
| equalish(u9r2(u),u10r1(u))
| equalish(u10r2(u),u9r2(u)) ),
inference(mrr,[status(thm)],[252,38]),
[iquote('0:MRR:252.4,38.0')] ).
cnf(219,plain,
( ~ s(u,v)
| r1most(u)
| s1most(u)
| t3least(u)
| equalish(u9r2(u),u10r1(u))
| equalish(v,u10r1(u))
| equalish(v,u9r2(u)) ),
inference(res,[status(thm),theory(equality)],[19,203]),
[iquote('0:Res:19.1,203.0')] ).
cnf(246,plain,
( r1most(u)
| s1most(u)
| t3least(u)
| equalish(u9r1(u),u10r1(u))
| equalish(u9r2(u),u10r1(u)) ),
inference(mrr,[status(thm)],[245,34]),
[iquote('0:MRR:245.5,34.0')] ).
cnf(197,plain,
( ~ s(u,v)
| ~ t(u,w)
| r1most(u)
| t3least(u)
| equalish(v,u9r1(u))
| equalish(w,u9r1(u))
| equalish(w,v) ),
inference(res,[status(thm),theory(equality)],[19,185]),
[iquote('0:Res:19.1,185.0')] ).
cnf(213,plain,
( ~ r(u,v)
| r1most(u)
| s1most(u)
| t3least(u)
| equalish(u9r1(u),u10r1(u))
| equalish(v,u10r1(u))
| equalish(v,u9r1(u)) ),
inference(res,[status(thm),theory(equality)],[17,204]),
[iquote('0:Res:17.1,204.0')] ).
cnf(240,plain,
( s1most(u)
| t3least(u)
| equalish(u10r2(u),u10r2(u)) ),
inference(obv,[status(thm),theory(equality)],[238]),
[iquote('0:Obv:238.3')] ).
cnf(177,plain,
( ~ r(u,v)
| ~ t(u,w)
| s1most(u)
| t3least(u)
| equalish(v,u10r2(u))
| equalish(w,u10r2(u))
| equalish(w,v) ),
inference(res,[status(thm),theory(equality)],[17,167]),
[iquote('0:Res:17.1,167.0')] ).
cnf(178,plain,
( ~ s(u,v)
| ~ t(u,w)
| s1most(u)
| t3least(u)
| equalish(v,u10r2(u))
| equalish(w,u10r2(u))
| equalish(w,v) ),
inference(res,[status(thm),theory(equality)],[19,167]),
[iquote('0:Res:19.1,167.0')] ).
cnf(224,plain,
( r1most(u)
| s1most(u)
| t3least(u)
| equalish(u9r1(u),u10r1(u))
| equalish(u10r2(u),u9r1(u)) ),
inference(mrr,[status(thm)],[223,38]),
[iquote('0:MRR:223.4,38.0')] ).
cnf(214,plain,
( ~ s(u,v)
| r1most(u)
| s1most(u)
| t3least(u)
| equalish(u9r1(u),u10r1(u))
| equalish(v,u10r1(u))
| equalish(v,u9r1(u)) ),
inference(res,[status(thm),theory(equality)],[19,204]),
[iquote('0:Res:19.1,204.0')] ).
cnf(203,plain,
( ~ t(u,v)
| r1most(u)
| s1most(u)
| t3least(u)
| equalish(u9r2(u),u10r1(u))
| equalish(v,u10r1(u))
| equalish(v,u9r2(u)) ),
inference(res,[status(thm),theory(equality)],[36,172]),
[iquote('0:Res:36.1,172.0')] ).
cnf(204,plain,
( ~ t(u,v)
| r1most(u)
| s1most(u)
| t3least(u)
| equalish(u9r1(u),u10r1(u))
| equalish(v,u10r1(u))
| equalish(v,u9r1(u)) ),
inference(res,[status(thm),theory(equality)],[35,172]),
[iquote('0:Res:35.1,172.0')] ).
cnf(184,plain,
( ~ t(u,v)
| ~ t(u,w)
| r1most(u)
| t3least(u)
| equalish(v,u9r2(u))
| equalish(w,u9r2(u))
| equalish(w,v) ),
inference(res,[status(thm),theory(equality)],[36,149]),
[iquote('0:Res:36.1,149.0')] ).
cnf(172,plain,
( ~ r(u,v)
| ~ t(u,w)
| s1most(u)
| t3least(u)
| equalish(v,u10r1(u))
| equalish(w,u10r1(u))
| equalish(w,v) ),
inference(res,[status(thm),theory(equality)],[17,168]),
[iquote('0:Res:17.1,168.0')] ).
cnf(201,plain,
( s1most(u)
| t3least(u)
| equalish(u10r1(u),u10r1(u)) ),
inference(mrr,[status(thm)],[200,38]),
[iquote('0:MRR:200.3,38.0')] ).
cnf(185,plain,
( ~ t(u,v)
| ~ t(u,w)
| r1most(u)
| t3least(u)
| equalish(v,u9r1(u))
| equalish(w,u9r1(u))
| equalish(w,v) ),
inference(res,[status(thm),theory(equality)],[35,149]),
[iquote('0:Res:35.1,149.0')] ).
cnf(183,plain,
( ~ t(u,v)
| s1most(u)
| t3least(u)
| equalish(v,u10r1(u))
| equalish(v,u10r2(u)) ),
inference(mrr,[status(thm)],[182,38]),
[iquote('0:MRR:182.3,38.0')] ).
cnf(149,plain,
( ~ r(u,v)
| ~ t(u,w)
| ~ t(u,x)
| t3least(u)
| equalish(w,v)
| equalish(x,v)
| equalish(x,w) ),
inference(res,[status(thm),theory(equality)],[17,32]),
[iquote('0:Res:17.1,32.0')] ).
cnf(173,plain,
( ~ s(u,v)
| ~ t(u,w)
| s1most(u)
| t3least(u)
| equalish(v,u10r1(u))
| equalish(w,u10r1(u))
| equalish(w,v) ),
inference(res,[status(thm),theory(equality)],[19,168]),
[iquote('0:Res:19.1,168.0')] ).
cnf(167,plain,
( ~ t(u,v)
| ~ t(u,w)
| s1most(u)
| t3least(u)
| equalish(v,u10r2(u))
| equalish(w,u10r2(u))
| equalish(w,v) ),
inference(res,[status(thm),theory(equality)],[40,150]),
[iquote('0:Res:40.1,150.0')] ).
cnf(168,plain,
( ~ t(u,v)
| ~ t(u,w)
| s1most(u)
| t3least(u)
| equalish(v,u10r1(u))
| equalish(w,u10r1(u))
| equalish(w,v) ),
inference(res,[status(thm),theory(equality)],[39,150]),
[iquote('0:Res:39.1,150.0')] ).
cnf(166,plain,
( ~ s1most(u)
| ~ r1most(u)
| ~ t3least(u)
| e(u) ),
inference(mrr,[status(thm)],[165,163]),
[iquote('0:MRR:165.4,163.3')] ).
cnf(150,plain,
( ~ s(u,v)
| ~ t(u,w)
| ~ t(u,x)
| t3least(u)
| equalish(w,v)
| equalish(x,v)
| equalish(x,w) ),
inference(res,[status(thm),theory(equality)],[19,32]),
[iquote('0:Res:19.1,32.0')] ).
cnf(153,plain,
( ~ c(u10r2(u))
| s1most(u) ),
inference(sor,[status(thm)],[133,1]),
[iquote('0:SoR:133.0,1.1')] ).
cnf(152,plain,
( ~ c(u10r1(u))
| s1most(u) ),
inference(sor,[status(thm)],[132,1]),
[iquote('0:SoR:132.0,1.1')] ).
cnf(142,plain,
( ~ d(u9r2(u))
| r1most(u) ),
inference(sor,[status(thm)],[130,7]),
[iquote('0:SoR:130.0,7.1')] ).
cnf(138,plain,
( ~ d(u9r1(u))
| r1most(u) ),
inference(sor,[status(thm)],[128,7]),
[iquote('0:SoR:128.0,7.1')] ).
cnf(133,plain,
( ~ p2least(u10r2(u))
| s1most(u) ),
inference(ems,[status(thm)],[126,78,2]),
[iquote('0:EmS:126.0,126.1,78.1,2.1')] ).
cnf(132,plain,
( ~ p2least(u10r1(u))
| s1most(u) ),
inference(ems,[status(thm)],[126,79,2]),
[iquote('0:EmS:126.0,126.1,79.1,2.1')] ).
cnf(32,axiom,
( ~ t(u,v)
| ~ t(u,w)
| ~ t(u,x)
| t3least(u)
| equalish(w,v)
| equalish(x,v)
| equalish(x,w) ),
file('KRS009-1.p',unknown),
[] ).
cnf(143,plain,
( r1most(u)
| p2least(u9r2(u)) ),
inference(sor,[status(thm)],[130,114]),
[iquote('0:SoR:130.0,114.1')] ).
cnf(130,plain,
( ~ p1most(u9r2(u))
| r1most(u) ),
inference(ems,[status(thm)],[126,8,80]),
[iquote('0:EmS:126.0,126.1,8.1,80.1')] ).
cnf(139,plain,
( r1most(u)
| p2least(u9r1(u)) ),
inference(sor,[status(thm)],[128,114]),
[iquote('0:SoR:128.0,114.1')] ).
cnf(128,plain,
( ~ p1most(u9r1(u))
| r1most(u) ),
inference(ems,[status(thm)],[126,8,81]),
[iquote('0:EmS:126.0,126.1,8.1,81.1')] ).
cnf(126,plain,
( ~ d(u)
| ~ c(u) ),
inference(ems,[status(thm)],[125,7,1]),
[iquote('0:EmS:125.0,125.1,7.1,1.1')] ).
cnf(125,plain,
( ~ p1most(u)
| ~ p2least(u) ),
inference(mrr,[status(thm)],[124,5]),
[iquote('0:MRR:124.2,5.1')] ).
cnf(9,axiom,
( ~ p1most(u)
| ~ p(u,v)
| ~ p(u,w)
| equalish(w,v) ),
file('KRS009-1.p',unknown),
[] ).
cnf(33,axiom,
( ~ r1most(u)
| ~ r(u,v)
| ~ r(u,w)
| equalish(w,v) ),
file('KRS009-1.p',unknown),
[] ).
cnf(114,plain,
( p2least(u)
| p1most(u) ),
inference(mrr,[status(thm)],[113,12]),
[iquote('0:MRR:113.0,12.1')] ).
cnf(37,axiom,
( ~ s1most(u)
| ~ s(u,v)
| ~ s(u,w)
| equalish(w,v) ),
file('KRS009-1.p',unknown),
[] ).
cnf(98,plain,
( ~ e(u)
| ~ s(u,v)
| a(v) ),
inference(res,[status(thm),theory(equality)],[19,23]),
[iquote('0:Res:19.1,23.1')] ).
cnf(97,plain,
( ~ e(u)
| ~ r(u,v)
| a(v) ),
inference(res,[status(thm),theory(equality)],[17,23]),
[iquote('0:Res:17.1,23.1')] ).
cnf(101,plain,
( ~ e(u)
| a(u8r1(u)) ),
inference(ssi,[status(thm)],[96,22]),
[iquote('0:SSi:96.0,22.1')] ).
cnf(6,axiom,
( ~ p(u,v)
| ~ p(u,w)
| p2least(u)
| equalish(w,v) ),
file('KRS009-1.p',unknown),
[] ).
cnf(100,plain,
( ~ e(u)
| a(u8r2(u)) ),
inference(ssi,[status(thm)],[95,22]),
[iquote('0:SSi:95.0,22.1')] ).
cnf(99,plain,
( ~ e(u)
| a(u8r3(u)) ),
inference(ssi,[status(thm)],[94,22]),
[iquote('0:SSi:94.0,22.1')] ).
cnf(23,axiom,
( ~ e(u)
| ~ t(u,v)
| a(v) ),
file('KRS009-1.p',unknown),
[] ).
cnf(26,axiom,
( ~ t3least(u)
| ~ equalish(u8r2(u),u8r1(u)) ),
file('KRS009-1.p',unknown),
[] ).
cnf(27,axiom,
( ~ t3least(u)
| ~ equalish(u8r3(u),u8r1(u)) ),
file('KRS009-1.p',unknown),
[] ).
cnf(28,axiom,
( ~ t3least(u)
| ~ equalish(u8r3(u),u8r2(u)) ),
file('KRS009-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ p2least(u)
| ~ equalish(u1r2(u),u1r1(u)) ),
file('KRS009-1.p',unknown),
[] ).
cnf(34,axiom,
( ~ equalish(u9r2(u),u9r1(u))
| r1most(u) ),
file('KRS009-1.p',unknown),
[] ).
cnf(38,axiom,
( ~ equalish(u10r2(u),u10r1(u))
| s1most(u) ),
file('KRS009-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ equalish(u3r2(u),u3r1(u))
| p1most(u) ),
file('KRS009-1.p',unknown),
[] ).
cnf(91,plain,
( ~ r(exist,u)
| a(u) ),
inference(res,[status(thm),theory(equality)],[17,42]),
[iquote('0:Res:17.1,42.0')] ).
cnf(17,axiom,
( ~ r(u,v)
| t(u,v) ),
file('KRS009-1.p',unknown),
[] ).
cnf(88,plain,
( ~ s(exist,u)
| a(u) ),
inference(res,[status(thm),theory(equality)],[19,42]),
[iquote('0:Res:19.1,42.0')] ).
cnf(19,axiom,
( ~ s(u,v)
| t(u,v) ),
file('KRS009-1.p',unknown),
[] ).
cnf(13,axiom,
( ~ a(u)
| d(u)
| c(u) ),
file('KRS009-1.p',unknown),
[] ).
cnf(87,plain,
a(u8r1(exist)),
inference(ssi,[status(thm)],[86,41,44,43,45]),
[iquote('0:SSi:86.0,41.0,44.0,43.0,45.0')] ).
cnf(29,axiom,
( ~ t3least(u)
| t(u,u8r1(u)) ),
file('KRS009-1.p',unknown),
[] ).
cnf(85,plain,
a(u8r2(exist)),
inference(ssi,[status(thm)],[84,41,44,43,45]),
[iquote('0:SSi:84.0,41.0,44.0,43.0,45.0')] ).
cnf(83,plain,
a(u8r3(exist)),
inference(ssi,[status(thm)],[82,41,44,43,45]),
[iquote('0:SSi:82.0,41.0,44.0,43.0,45.0')] ).
cnf(30,axiom,
( ~ t3least(u)
| t(u,u8r2(u)) ),
file('KRS009-1.p',unknown),
[] ).
cnf(31,axiom,
( ~ t3least(u)
| t(u,u8r3(u)) ),
file('KRS009-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ p2least(u)
| p(u,u1r1(u)) ),
file('KRS009-1.p',unknown),
[] ).
cnf(81,plain,
( r1most(u)
| c(u9r1(u)) ),
inference(res,[status(thm),theory(equality)],[35,16]),
[iquote('0:Res:35.1,16.0')] ).
cnf(80,plain,
( r1most(u)
| c(u9r2(u)) ),
inference(res,[status(thm),theory(equality)],[36,16]),
[iquote('0:Res:36.1,16.0')] ).
cnf(5,axiom,
( ~ p2least(u)
| p(u,u1r2(u)) ),
file('KRS009-1.p',unknown),
[] ).
cnf(16,axiom,
( ~ r(u,v)
| c(v) ),
file('KRS009-1.p',unknown),
[] ).
cnf(79,plain,
( s1most(u)
| d(u10r1(u)) ),
inference(res,[status(thm),theory(equality)],[39,18]),
[iquote('0:Res:39.1,18.0')] ).
cnf(78,plain,
( s1most(u)
| d(u10r2(u)) ),
inference(res,[status(thm),theory(equality)],[40,18]),
[iquote('0:Res:40.1,18.0')] ).
cnf(18,axiom,
( ~ s(u,v)
| d(v) ),
file('KRS009-1.p',unknown),
[] ).
cnf(11,axiom,
( p1most(u)
| p(u,u3r1(u)) ),
file('KRS009-1.p',unknown),
[] ).
cnf(12,axiom,
( p1most(u)
| p(u,u3r2(u)) ),
file('KRS009-1.p',unknown),
[] ).
cnf(35,axiom,
( r1most(u)
| r(u,u9r1(u)) ),
file('KRS009-1.p',unknown),
[] ).
cnf(36,axiom,
( r1most(u)
| r(u,u9r2(u)) ),
file('KRS009-1.p',unknown),
[] ).
cnf(39,axiom,
( s1most(u)
| s(u,u10r1(u)) ),
file('KRS009-1.p',unknown),
[] ).
cnf(40,axiom,
( s1most(u)
| s(u,u10r2(u)) ),
file('KRS009-1.p',unknown),
[] ).
cnf(42,plain,
( ~ t(exist,u)
| a(u) ),
inference(res,[status(thm),theory(equality)],[41,23]),
[iquote('0:Res:41.0,23.0')] ).
cnf(22,axiom,
( ~ e(u)
| t3least(u) ),
file('KRS009-1.p',unknown),
[] ).
cnf(20,axiom,
( ~ e(u)
| s1most(u) ),
file('KRS009-1.p',unknown),
[] ).
cnf(21,axiom,
( ~ e(u)
| r1most(u) ),
file('KRS009-1.p',unknown),
[] ).
cnf(1,axiom,
( ~ c(u)
| p2least(u) ),
file('KRS009-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ d(u)
| p1most(u) ),
file('KRS009-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ d(u)
| a(u) ),
file('KRS009-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ c(u)
| a(u) ),
file('KRS009-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ p2least(u)
| c(u) ),
file('KRS009-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ p1most(u)
| d(u) ),
file('KRS009-1.p',unknown),
[] ).
cnf(45,plain,
t3least(exist),
inference(res,[status(thm),theory(equality)],[41,22]),
[iquote('0:Res:41.0,22.0')] ).
cnf(43,plain,
s1most(exist),
inference(res,[status(thm),theory(equality)],[41,20]),
[iquote('0:Res:41.0,20.0')] ).
cnf(44,plain,
r1most(exist),
inference(res,[status(thm),theory(equality)],[41,21]),
[iquote('0:Res:41.0,21.0')] ).
cnf(41,axiom,
e(exist),
file('KRS009-1.p',unknown),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS009-1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 7 07:54:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.43
% 0.19/0.43 SPASS V 3.9
% 0.19/0.43 SPASS beiseite: Completion found.
% 0.19/0.43 % SZS status CounterSatisfiable
% 0.19/0.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 SPASS derived 225 clauses, backtracked 0 clauses, performed 0 splits and kept 156 clauses.
% 0.19/0.43 SPASS allocated 75852 KBytes.
% 0.19/0.43 SPASS spent 0:00:00.09 on the problem.
% 0.19/0.43 0:00:00.04 for the input.
% 0.19/0.43 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.43 0:00:00.01 for inferences.
% 0.19/0.43 0:00:00.00 for the backtracking.
% 0.19/0.43 0:00:00.02 for the reduction.
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 The saturated set of worked-off clauses is :
% 0.19/0.43 % SZS output start Saturation
% See solution above
%------------------------------------------------------------------------------