TSTP Solution File: KRS146+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS146+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 03:30:42 EDT 2022
% Result : Theorem 4.67s 4.83s
% Output : Refutation 5.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 74
% Syntax : Number of clauses : 159 ( 49 unt; 33 nHn; 159 RR)
% Number of literals : 408 ( 0 equ; 257 neg)
% Maximal clause size : 13 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 58 ( 57 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
cowlThing(u),
file('KRS146+1.p',unknown),
[] ).
cnf(2,axiom,
cC16(iV822576),
file('KRS146+1.p',unknown),
[] ).
cnf(3,axiom,
cC34(iV822576),
file('KRS146+1.p',unknown),
[] ).
cnf(4,axiom,
cC4(iV822576),
file('KRS146+1.p',unknown),
[] ).
cnf(6,axiom,
cC2(iV822576),
file('KRS146+1.p',unknown),
[] ).
cnf(7,axiom,
~ cowlNothing(u),
file('KRS146+1.p',unknown),
[] ).
cnf(10,axiom,
cC24(skf19(u)),
file('KRS146+1.p',unknown),
[] ).
cnf(13,axiom,
cC88(skf25(u)),
file('KRS146+1.p',unknown),
[] ).
cnf(14,axiom,
~ cC84(iV822576),
file('KRS146+1.p',unknown),
[] ).
cnf(15,axiom,
~ cC132(iV822576),
file('KRS146+1.p',unknown),
[] ).
cnf(18,axiom,
~ cC96(iV822576),
file('KRS146+1.p',unknown),
[] ).
cnf(21,axiom,
~ cC108(iV822576),
file('KRS146+1.p',unknown),
[] ).
cnf(22,axiom,
~ cC90(iV822576),
file('KRS146+1.p',unknown),
[] ).
cnf(23,axiom,
~ cC100(iV822576),
file('KRS146+1.p',unknown),
[] ).
cnf(24,axiom,
~ cC10(iV822576),
file('KRS146+1.p',unknown),
[] ).
cnf(26,axiom,
~ cC76(iV822576),
file('KRS146+1.p',unknown),
[] ).
cnf(27,axiom,
~ cC112(iV822576),
file('KRS146+1.p',unknown),
[] ).
cnf(29,axiom,
( xsd_string(u)
| xsd_integer(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ cC102(u)
| cC100(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ cC12(u)
| cC10(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ cC134(u)
| cC132(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ cC18(u)
| cC2(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ cC22(u)
| cC20(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ cC24(u)
| cC16(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ cC24(u)
| cC2(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ cC28(u)
| cC26(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ cC36(u)
| cC4(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ cC40(u)
| cC38(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(75,axiom,
( ~ cC72(u)
| cC70(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ cC86(u)
| cC84(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ cC92(u)
| cC90(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(90,axiom,
( ~ xsd_integer(u)
| ~ xsd_string(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(95,axiom,
( cC110(u)
| cC108(u)
| cC102(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(99,axiom,
( cC114(u)
| cC112(u)
| cC96(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(110,axiom,
( cC14(u)
| cC12(u)
| cC8(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(113,axiom,
( ~ cC20(u)
| cC18(skf18(v)) ),
file('KRS146+1.p',unknown),
[] ).
cnf(117,axiom,
( cC30(u)
| cC22(u)
| cC28(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(118,axiom,
( ~ cC32(u)
| ~ cC30(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(119,axiom,
( ~ cC36(u)
| ~ cC34(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(120,axiom,
( ~ cC38(u)
| cC36(skf20(v)) ),
file('KRS146+1.p',unknown),
[] ).
cnf(121,axiom,
( ~ cC46(u)
| ~ cC34(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(124,axiom,
( cC48(u)
| cC46(u)
| cC40(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(125,axiom,
( ~ cC50(u)
| ~ cC48(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(128,axiom,
( cC52(u)
| cC32(u)
| cC50(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(134,axiom,
( ~ cC70(u)
| ~ cC4(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(138,axiom,
( ~ cC78(u)
| ~ cC4(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(139,axiom,
( ~ cC8(u)
| ~ cC2(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(142,axiom,
( cC80(u)
| cC76(u)
| cC78(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(144,axiom,
( ~ cC84(u)
| cC82(skf24(v)) ),
file('KRS146+1.p',unknown),
[] ).
cnf(148,axiom,
( cC94(u)
| cC92(u)
| cC86(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(155,axiom,
( ~ cC4(u)
| cC118(u)
| cC10(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(163,axiom,
( ~ cC116(u)
| cC136(u)
| cC134(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(168,axiom,
( ~ cC20(u)
| rR1(u,skf18(u)) ),
file('KRS146+1.p',unknown),
[] ).
cnf(169,axiom,
( ~ cC26(u)
| rR1(u,skf19(u)) ),
file('KRS146+1.p',unknown),
[] ).
cnf(173,axiom,
( ~ cC38(u)
| rR1(u,skf20(u)) ),
file('KRS146+1.p',unknown),
[] ).
cnf(177,axiom,
( ~ cC4(u)
| cC56(u)
| cC10(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(185,axiom,
( ~ cC54(u)
| cC74(u)
| cC72(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(189,axiom,
( ~ cC2(u)
| cC82(u)
| cC16(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(190,axiom,
( ~ cC84(u)
| rR1(u,skf24(u)) ),
file('KRS146+1.p',unknown),
[] ).
cnf(191,axiom,
( ~ cC90(u)
| rR1(u,skf25(u)) ),
file('KRS146+1.p',unknown),
[] ).
cnf(194,axiom,
( ~ cC4(u)
| cC98(u)
| cC34(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(195,axiom,
( ~ cC88(u)
| ~ rR1(iV822576,u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(196,axiom,
( ~ cC98(u)
| ~ rR1(iV822576,u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(197,axiom,
( ~ cC82(u)
| ~ rR1(iV822576,u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(200,axiom,
( ~ cC80(u)
| ~ cC114(u)
| cC116(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(205,axiom,
( ~ cC2(u)
| ~ cC16(u)
| cC24(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(208,axiom,
( ~ cC52(u)
| ~ cC14(u)
| cC54(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(209,axiom,
( ~ cC56(u)
| ~ cC34(u)
| cC58(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(212,axiom,
( ~ cC2(u)
| ~ cC16(u)
| cC88(u) ),
file('KRS146+1.p',unknown),
[] ).
cnf(219,axiom,
( ~ cC24(u)
| ~ rR1(v,u)
| cC26(v) ),
file('KRS146+1.p',unknown),
[] ).
cnf(224,axiom,
( ~ cC82(u)
| ~ rR1(v,u)
| cC84(v) ),
file('KRS146+1.p',unknown),
[] ).
cnf(225,axiom,
( ~ cC88(u)
| ~ rR1(v,u)
| cC90(v) ),
file('KRS146+1.p',unknown),
[] ).
cnf(226,axiom,
( ~ xsd_string(skc5)
| ~ cowlThing(skc3)
| ~ cC94(iV822576)
| ~ cowlThing(iV822576)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cC110(iV822576)
| ~ cC114(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| xsd_integer(skc5)
| cowlNothing(skc4) ),
file('KRS146+1.p',unknown),
[] ).
cnf(227,axiom,
( ~ xsd_integer(skc5)
| ~ cowlThing(skc3)
| ~ cC94(iV822576)
| ~ cowlThing(iV822576)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cC110(iV822576)
| ~ cC114(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| xsd_string(skc5)
| cowlNothing(skc4) ),
file('KRS146+1.p',unknown),
[] ).
cnf(228,plain,
( ~ cC80(iV822576)
| ~ cC136(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| ~ cC56(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ~ cC94(iV822576)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[226,29,1,7]),
[iquote('0:MRR:226.0,226.1,226.3,226.12,29.1,1.0,1.0,7.0')] ).
cnf(229,plain,
( ~ cC80(iV822576)
| ~ cC136(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| ~ cC56(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ~ cC94(iV822576)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[227,228,1,7]),
[iquote('0:MRR:227.0,227.1,227.3,227.12,228.8,1.0,1.0,7.0')] ).
cnf(424,plain,
~ cC92(iV822576),
inference(res,[status(thm),theory(equality)],[85,22]),
[iquote('0:Res:85.1,22.0')] ).
cnf(425,plain,
~ cC86(iV822576),
inference(res,[status(thm),theory(equality)],[82,14]),
[iquote('0:Res:82.1,14.0')] ).
cnf(426,plain,
~ cC134(iV822576),
inference(res,[status(thm),theory(equality)],[47,15]),
[iquote('0:Res:47.1,15.0')] ).
cnf(427,plain,
~ cC102(iV822576),
inference(res,[status(thm),theory(equality)],[31,23]),
[iquote('0:Res:31.1,23.0')] ).
cnf(428,plain,
~ cC12(iV822576),
inference(res,[status(thm),theory(equality)],[39,24]),
[iquote('0:Res:39.1,24.0')] ).
cnf(450,plain,
~ cC72(iV822576),
inference(ems,[status(thm)],[134,75,4]),
[iquote('0:EmS:134.0,134.1,75.1,4.0')] ).
cnf(478,plain,
( ~ cC40(u)
| cC36(skf20(v)) ),
inference(ems,[status(thm)],[120,59]),
[iquote('0:EmS:120.0,59.1')] ).
cnf(492,plain,
( cC14(iV822576)
| cC12(iV822576) ),
inference(ems,[status(thm)],[139,110,6]),
[iquote('0:EmS:139.0,139.1,110.2,6.0')] ).
cnf(494,plain,
cC14(iV822576),
inference(mrr,[status(thm)],[492,428]),
[iquote('0:MRR:492.1,428.0')] ).
cnf(510,plain,
( cC80(iV822576)
| cC76(iV822576) ),
inference(ems,[status(thm)],[138,142,4]),
[iquote('0:EmS:138.0,138.1,142.2,4.0')] ).
cnf(514,plain,
cC80(iV822576),
inference(mrr,[status(thm)],[510,26]),
[iquote('0:MRR:510.1,26.0')] ).
cnf(515,plain,
( ~ cC136(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| ~ cC56(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ~ cC94(iV822576)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[229,514]),
[iquote('0:MRR:229.0,514.0')] ).
cnf(516,plain,
( ~ cC136(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| ~ cC56(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ~ cC94(iV822576)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[228,514]),
[iquote('0:MRR:228.0,514.0')] ).
cnf(520,plain,
( cC114(iV822576)
| cC112(iV822576) ),
inference(res,[status(thm),theory(equality)],[99,18]),
[iquote('0:Res:99.2,18.0')] ).
cnf(521,plain,
cC114(iV822576),
inference(mrr,[status(thm)],[520,27]),
[iquote('0:MRR:520.1,27.0')] ).
cnf(522,plain,
( ~ cC136(iV822576)
| ~ cC110(iV822576)
| ~ cC56(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ~ cC94(iV822576)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[515,521]),
[iquote('0:MRR:515.1,521.0')] ).
cnf(523,plain,
( ~ cC136(iV822576)
| ~ cC110(iV822576)
| ~ cC56(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ~ cC94(iV822576)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[516,521]),
[iquote('0:MRR:516.1,521.0')] ).
cnf(552,plain,
( ~ cC26(iV822576)
| ~ cC88(skf19(iV822576)) ),
inference(res,[status(thm),theory(equality)],[169,195]),
[iquote('0:Res:169.1,195.1')] ).
cnf(563,plain,
( ~ cC88(skf19(iV822576))
| ~ cC28(iV822576) ),
inference(sor,[status(thm)],[552,55]),
[iquote('0:SoR:552.0,55.1')] ).
cnf(569,plain,
( ~ cC90(iV822576)
| ~ cC88(skf25(iV822576)) ),
inference(res,[status(thm),theory(equality)],[191,195]),
[iquote('0:Res:191.1,195.1')] ).
cnf(572,plain,
~ cC90(iV822576),
inference(ssi,[status(thm)],[569,13,2,6,3,4,494,514,521]),
[iquote('0:SSi:569.1,13.0,2.0,6.0,3.0,4.0,494.0,514.0,521.0')] ).
cnf(581,plain,
( ~ cC38(iV822576)
| ~ cC98(skf20(iV822576)) ),
inference(res,[status(thm),theory(equality)],[173,196]),
[iquote('0:Res:173.1,196.1')] ).
cnf(596,plain,
( ~ cC98(skf20(iV822576))
| ~ cC40(iV822576) ),
inference(sor,[status(thm)],[581,59]),
[iquote('0:SoR:581.0,59.1')] ).
cnf(603,plain,
( ~ cC84(iV822576)
| ~ cC82(skf24(iV822576)) ),
inference(res,[status(thm),theory(equality)],[190,197]),
[iquote('0:Res:190.1,197.1')] ).
cnf(604,plain,
~ cC84(iV822576),
inference(mrr,[status(thm)],[603,144]),
[iquote('0:MRR:603.1,144.1')] ).
cnf(624,plain,
( ~ cC54(iV822576)
| cC74(iV822576) ),
inference(sor,[status(thm)],[450,185]),
[iquote('0:SoR:450.0,185.2')] ).
cnf(691,plain,
( ~ cC4(iV822576)
| cC118(iV822576) ),
inference(res,[status(thm),theory(equality)],[155,24]),
[iquote('0:Res:155.2,24.0')] ).
cnf(692,plain,
cC118(iV822576),
inference(ssi,[status(thm)],[691,2,6,3,4,494,514,521]),
[iquote('0:SSi:691.0,2.0,6.0,3.0,4.0,494.0,514.0,521.0')] ).
cnf(1120,plain,
( ~ cC14(iV822576)
| ~ cC52(iV822576)
| cC74(iV822576) ),
inference(sor,[status(thm)],[624,208]),
[iquote('0:SoR:624.0,208.2')] ).
cnf(1123,plain,
( ~ cC52(iV822576)
| cC74(iV822576) ),
inference(ssi,[status(thm)],[1120,2,6,3,4,494,514,521,692]),
[iquote('0:SSi:1120.0,2.0,6.0,3.0,4.0,494.0,514.0,521.0,692.0')] ).
cnf(1125,plain,
( cC74(iV822576)
| cC50(iV822576)
| cC32(iV822576) ),
inference(sor,[status(thm)],[1123,128]),
[iquote('0:SoR:1123.0,128.0')] ).
cnf(1130,plain,
( cC74(iV822576)
| cC32(iV822576)
| cC40(iV822576)
| cC46(iV822576) ),
inference(ems,[status(thm)],[125,1125,124]),
[iquote('0:EmS:125.0,125.1,1125.1,124.0')] ).
cnf(1306,plain,
cC74(iV822576),
inference(spt,[spt(split,[position(s1)])],[1130]),
[iquote('1:Spt:1130.0')] ).
cnf(1465,plain,
( ~ cC20(u)
| ~ cC24(skf18(u))
| cC26(u) ),
inference(res,[status(thm),theory(equality)],[168,219]),
[iquote('0:Res:168.1,219.1')] ).
cnf(1616,plain,
( ~ cC26(u)
| ~ cC88(skf19(u))
| cC90(u) ),
inference(res,[status(thm),theory(equality)],[169,225]),
[iquote('0:Res:169.1,225.1')] ).
cnf(1627,plain,
( ~ cC26(u)
| cC90(u) ),
inference(ssi,[status(thm)],[1616,54,53,212,10]),
[iquote('0:SSi:1616.1,54.0,53.2,212.1,10.1')] ).
cnf(1628,plain,
~ cC26(iV822576),
inference(sor,[status(thm)],[572,1627]),
[iquote('0:SoR:572.0,1627.1')] ).
cnf(1672,plain,
( ~ cC20(u)
| ~ cC82(skf18(u))
| cC84(u) ),
inference(res,[status(thm),theory(equality)],[168,224]),
[iquote('0:Res:168.1,224.1')] ).
cnf(1719,plain,
( ~ cC136(iV822576)
| ~ cC110(iV822576)
| ~ cC56(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ~ cC94(iV822576)
| ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576) ),
inference(ems,[status(thm)],[90,523,522]),
[iquote('0:EmS:90.0,90.1,523.6,522.6')] ).
cnf(1720,plain,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576) ),
inference(obv,[status(thm),theory(equality)],[1719]),
[iquote('0:Obv:1719.5')] ).
cnf(2159,plain,
( ~ cC20(u)
| ~ cC16(skf18(u))
| ~ cC2(skf18(u))
| cC26(u) ),
inference(sor,[status(thm)],[1465,205]),
[iquote('0:SoR:1465.1,205.2')] ).
cnf(5094,plain,
( ~ cC20(u)
| ~ cC2(skf18(u))
| cC84(u)
| cC16(skf18(u)) ),
inference(sor,[status(thm)],[1672,189]),
[iquote('0:SoR:1672.1,189.1')] ).
cnf(5500,plain,
( ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| cC92(iV822576)
| cC86(iV822576) ),
inference(res,[status(thm),theory(equality)],[148,1720]),
[iquote('0:Res:148.0,1720.0')] ).
cnf(5501,plain,
( ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576) ),
inference(mrr,[status(thm)],[5500,424,425]),
[iquote('0:MRR:5500.5,5500.6,424.0,425.0')] ).
cnf(7069,plain,
( ~ cC20(u)
| ~ cC18(skf18(u))
| cC84(u)
| cC16(skf18(u)) ),
inference(sor,[status(thm)],[5094,50]),
[iquote('0:SoR:5094.1,50.1')] ).
cnf(7073,plain,
( ~ cC20(u)
| cC84(u)
| cC16(skf18(u)) ),
inference(mrr,[status(thm)],[7069,113]),
[iquote('0:MRR:7069.1,113.1')] ).
cnf(12891,plain,
( ~ cC20(u)
| ~ cC20(u)
| ~ cC18(skf18(u))
| cC84(u)
| cC26(u) ),
inference(sor,[status(thm)],[2159,7073,50]),
[iquote('0:SoR:2159.1,2159.2,7073.2,50.1')] ).
cnf(12934,plain,
( ~ cC20(u)
| ~ cC18(skf18(u))
| cC84(u)
| cC26(u) ),
inference(obv,[status(thm),theory(equality)],[12891]),
[iquote('0:Obv:12891.0')] ).
cnf(12935,plain,
( ~ cC20(u)
| cC84(u)
| cC26(u) ),
inference(mrr,[status(thm)],[12934,113]),
[iquote('0:MRR:12934.1,113.1')] ).
cnf(13231,plain,
( ~ cC20(iV822576)
| cC26(iV822576) ),
inference(sor,[status(thm)],[604,12935]),
[iquote('0:SoR:604.0,12935.1')] ).
cnf(21843,plain,
( ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| cC108(iV822576)
| cC102(iV822576) ),
inference(res,[status(thm),theory(equality)],[95,5501]),
[iquote('0:Res:95.0,5501.3')] ).
cnf(21844,plain,
( ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576) ),
inference(mrr,[status(thm)],[21843,21,427]),
[iquote('0:MRR:21843.4,21843.5,21.0,427.0')] ).
cnf(31167,plain,
( ~ cC56(iV822576)
| ~ cC34(iV822576)
| ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576) ),
inference(res,[status(thm),theory(equality)],[209,21844]),
[iquote('0:Res:209.2,21844.0')] ).
cnf(31168,plain,
( ~ cC34(iV822576)
| ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576) ),
inference(obv,[status(thm),theory(equality)],[31167]),
[iquote('0:Obv:31167.0')] ).
cnf(31169,plain,
( ~ cC116(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576) ),
inference(ssi,[status(thm)],[31168,2,6,3,4,494,514,521,692,1306]),
[iquote('1:SSi:31168.0,2.0,6.0,3.0,4.0,494.0,514.0,521.0,692.0,1306.0')] ).
cnf(31191,plain,
( ~ cC4(iV822576)
| ~ cC116(iV822576)
| ~ cC136(iV822576)
| cC10(iV822576) ),
inference(res,[status(thm),theory(equality)],[177,31169]),
[iquote('1:Res:177.1,31169.1')] ).
cnf(31193,plain,
( ~ cC116(iV822576)
| ~ cC136(iV822576)
| cC10(iV822576) ),
inference(ssi,[status(thm)],[31191,2,6,3,4,494,514,521,692,1306]),
[iquote('1:SSi:31191.0,2.0,6.0,3.0,4.0,494.0,514.0,521.0,692.0,1306.0')] ).
cnf(31194,plain,
( ~ cC116(iV822576)
| ~ cC136(iV822576) ),
inference(mrr,[status(thm)],[31193,24]),
[iquote('1:MRR:31193.2,24.0')] ).
cnf(31195,plain,
( ~ cC116(iV822576)
| ~ cC116(iV822576)
| cC134(iV822576) ),
inference(res,[status(thm),theory(equality)],[163,31194]),
[iquote('1:Res:163.1,31194.1')] ).
cnf(31196,plain,
( ~ cC116(iV822576)
| cC134(iV822576) ),
inference(obv,[status(thm),theory(equality)],[31195]),
[iquote('1:Obv:31195.0')] ).
cnf(31197,plain,
~ cC116(iV822576),
inference(mrr,[status(thm)],[31196,426]),
[iquote('1:MRR:31196.1,426.0')] ).
cnf(31198,plain,
( ~ cC80(iV822576)
| ~ cC114(iV822576) ),
inference(res,[status(thm),theory(equality)],[200,31197]),
[iquote('1:Res:200.2,31197.0')] ).
cnf(31200,plain,
$false,
inference(ssi,[status(thm)],[31198,2,6,3,4,494,514,521,692,1306]),
[iquote('1:SSi:31198.1,31198.0,2.0,6.0,3.0,4.0,494.0,514.0,521.0,692.0,1306.0,2.0,6.0,3.0,4.0,494.0,514.0,521.0,692.0,1306.0')] ).
cnf(31201,plain,
~ cC74(iV822576),
inference(spt,[spt(split,[position(sa)])],[31200,1306]),
[iquote('1:Spt:31200.0,1130.0,1306.0')] ).
cnf(31202,plain,
( cC32(iV822576)
| cC40(iV822576)
| cC46(iV822576) ),
inference(spt,[spt(split,[position(s2)])],[1130]),
[iquote('1:Spt:31200.0,1130.1,1130.2,1130.3')] ).
cnf(31205,plain,
~ cC20(iV822576),
inference(mrr,[status(thm)],[13231,1628]),
[iquote('0:MRR:13231.1,1628.0')] ).
cnf(31207,plain,
~ cC28(iV822576),
inference(ssi,[status(thm)],[563,54,53,212,10,2,6,3,4,494,514,521,692]),
[iquote('0:SSi:563.0,54.0,53.0,212.0,10.0,2.0,6.0,3.0,4.0,494.0,514.2,521.1,692.1')] ).
cnf(31383,plain,
cC46(iV822576),
inference(spt,[spt(split,[position(s2s1)])],[31202]),
[iquote('2:Spt:31202.2')] ).
cnf(31411,plain,
$false,
inference(ems,[status(thm)],[121,31383,3]),
[iquote('2:EmS:121.0,121.1,31383.0,3.0')] ).
cnf(31420,plain,
~ cC46(iV822576),
inference(spt,[spt(split,[position(s2sa)])],[31411,31383]),
[iquote('2:Spt:31411.0,31202.2,31383.0')] ).
cnf(31421,plain,
( cC32(iV822576)
| cC40(iV822576) ),
inference(spt,[spt(split,[position(s2s2)])],[31202]),
[iquote('2:Spt:31411.0,31202.0,31202.1')] ).
cnf(31422,plain,
cC32(iV822576),
inference(spt,[spt(split,[position(s2s2s1)])],[31421]),
[iquote('3:Spt:31421.0')] ).
cnf(31435,plain,
( cC28(iV822576)
| cC22(iV822576) ),
inference(ems,[status(thm)],[118,31422,117]),
[iquote('3:EmS:118.0,118.1,31422.0,117.0')] ).
cnf(31439,plain,
cC22(iV822576),
inference(mrr,[status(thm)],[31435,31207]),
[iquote('3:MRR:31435.0,31207.0')] ).
cnf(31627,plain,
~ cC22(iV822576),
inference(sor,[status(thm)],[31205,52]),
[iquote('0:SoR:31205.0,52.1')] ).
cnf(31628,plain,
$false,
inference(ssi,[status(thm)],[31627,2,6,3,4,494,514,521,692,31422,31439]),
[iquote('3:SSi:31627.0,2.0,6.0,3.0,4.0,494.0,514.0,521.0,692.0,31422.0,31439.0')] ).
cnf(31629,plain,
~ cC32(iV822576),
inference(spt,[spt(split,[position(s2s2sa)])],[31628,31422]),
[iquote('3:Spt:31628.0,31421.0,31422.0')] ).
cnf(31630,plain,
cC40(iV822576),
inference(spt,[spt(split,[position(s2s2s2)])],[31421]),
[iquote('3:Spt:31628.0,31421.1')] ).
cnf(31632,plain,
~ cC98(skf20(iV822576)),
inference(mrr,[status(thm)],[596,31630]),
[iquote('3:MRR:596.1,31630.0')] ).
cnf(31964,plain,
cC36(skf20(u)),
inference(ems,[status(thm)],[478,31630]),
[iquote('3:EmS:478.0,31630.0')] ).
cnf(32050,plain,
( ~ cC4(skf20(u))
| cC98(skf20(u)) ),
inference(ems,[status(thm)],[119,31964,194]),
[iquote('3:EmS:119.0,119.1,31964.0,194.2')] ).
cnf(32053,plain,
cC98(skf20(u)),
inference(ssi,[status(thm)],[32050,57,31964]),
[iquote('3:SSi:32050.0,57.0,31964.1')] ).
cnf(32054,plain,
$false,
inference(unc,[status(thm)],[32053,31632]),
[iquote('3:UnC:32053.0,31632.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS146+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 7 14:28:06 EDT 2022
% 0.13/0.33 % CPUTime :
% 4.67/4.83
% 4.67/4.83 SPASS V 3.9
% 4.67/4.83 SPASS beiseite: Proof found.
% 4.67/4.83 % SZS status Theorem
% 4.67/4.83 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.67/4.83 SPASS derived 27119 clauses, backtracked 1708 clauses, performed 11 splits and kept 8748 clauses.
% 4.67/4.83 SPASS allocated 123240 KBytes.
% 4.67/4.83 SPASS spent 0:00:04.46 on the problem.
% 4.67/4.83 0:00:00.04 for the input.
% 4.67/4.83 0:00:00.08 for the FLOTTER CNF translation.
% 4.67/4.83 0:00:00.33 for inferences.
% 4.67/4.83 0:00:00.06 for the backtracking.
% 4.67/4.83 0:00:03.78 for the reduction.
% 4.67/4.83
% 4.67/4.83
% 4.67/4.83 Here is a proof with depth 10, length 159 :
% 4.67/4.83 % SZS output start Refutation
% See solution above
% 5.58/5.78 Formulae used in the proof : axiom_0 axiom_72 axiom_74 axiom_75 axiom_89 axiom_29 axiom_28 axiom_62 axiom_61 axiom_68 axiom_69 axiom_76 axiom_79 axiom_82 axiom_83 axiom_84 axiom_86 axiom_87 axiom_1 axiom_3 axiom_12 axiom_20 axiom_25 axiom_27 axiom_30 axiom_33 axiom_35 axiom_52 axiom_60 axiom_63 axiom_7 axiom_9 axiom_23 axiom_26 axiom_31 axiom_32 axiom_34 axiom_38 axiom_39 axiom_40 axiom_41 axiom_51 axiom_55 axiom_56 axiom_57 axiom_59 axiom_64 axiom_11 axiom_21 axiom_43 axiom_53 axiom_58 axiom_66 axiom_73 axiom_81 axiom_90 axiom_10 axiom_42 axiom_44 the_axiom
% 5.58/5.78
%------------------------------------------------------------------------------