TSTP Solution File: KRS155+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS155+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 03:30:44 EDT 2022
% Result : Theorem 0.76s 1.00s
% Output : Refutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 61
% Syntax : Number of clauses : 143 ( 44 unt; 13 nHn; 143 RR)
% Number of literals : 437 ( 0 equ; 299 neg)
% Maximal clause size : 19 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 43 ( 42 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
cowlThing(u),
file('KRS155+1.p',unknown),
[] ).
cnf(2,axiom,
cC52xcomp(iV8467),
file('KRS155+1.p',unknown),
[] ).
cnf(10,axiom,
cC6xcomp(iV8469),
file('KRS155+1.p',unknown),
[] ).
cnf(12,axiom,
cTOP(iV8470),
file('KRS155+1.p',unknown),
[] ).
cnf(14,axiom,
cC78xcomp(iV8471),
file('KRS155+1.p',unknown),
[] ).
cnf(15,axiom,
cC2xcomp(iV8471),
file('KRS155+1.p',unknown),
[] ).
cnf(17,axiom,
cC2xcomp(iV8472),
file('KRS155+1.p',unknown),
[] ).
cnf(21,axiom,
cC32xcomp(iV8474),
file('KRS155+1.p',unknown),
[] ).
cnf(25,axiom,
cC2(iV8476),
file('KRS155+1.p',unknown),
[] ).
cnf(27,axiom,
~ cowlNothing(u),
file('KRS155+1.p',unknown),
[] ).
cnf(38,axiom,
cC2xcomp(skf128(u)),
file('KRS155+1.p',unknown),
[] ).
cnf(44,axiom,
rR1(iV8467,iV8471),
file('KRS155+1.p',unknown),
[] ).
cnf(45,axiom,
rR1(iV8467,iV8470),
file('KRS155+1.p',unknown),
[] ).
cnf(46,axiom,
rR1(iV8467,iV8469),
file('KRS155+1.p',unknown),
[] ).
cnf(47,axiom,
rR1(iV8467,iV8474),
file('KRS155+1.p',unknown),
[] ).
cnf(51,axiom,
rR1(iV8467,iV8472),
file('KRS155+1.p',unknown),
[] ).
cnf(52,axiom,
rR1(iV8472,iV8476),
file('KRS155+1.p',unknown),
[] ).
cnf(53,axiom,
( xsd_string(u)
| xsd_integer(u) ),
file('KRS155+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ cC52(u)
| cC50xcomp(u) ),
file('KRS155+1.p',unknown),
[] ).
cnf(86,axiom,
( ~ xsd_integer(u)
| ~ xsd_string(u) ),
file('KRS155+1.p',unknown),
[] ).
cnf(116,axiom,
( ~ ra_Px12(u,v)
| cC48(u) ),
file('KRS155+1.p',unknown),
[] ).
cnf(117,axiom,
( cC48xcomp(u)
| ra_Px12(u,skf117(u)) ),
file('KRS155+1.p',unknown),
[] ).
cnf(118,axiom,
( cC50(u)
| ra_Px13(u,skf118(u)) ),
file('KRS155+1.p',unknown),
[] ).
cnf(119,axiom,
( ~ ra_Px13(u,v)
| cC50xcomp(u) ),
file('KRS155+1.p',unknown),
[] ).
cnf(120,axiom,
( ~ ra_Px32(u,v)
| cC52(u) ),
file('KRS155+1.p',unknown),
[] ).
cnf(121,axiom,
( cC52xcomp(u)
| ra_Px32(u,skf122(u)) ),
file('KRS155+1.p',unknown),
[] ).
cnf(125,axiom,
( cC6(u)
| ra_Px28(u,skf127(u)) ),
file('KRS155+1.p',unknown),
[] ).
cnf(126,axiom,
( ~ ra_Px28(u,v)
| cC6xcomp(u) ),
file('KRS155+1.p',unknown),
[] ).
cnf(151,axiom,
( ~ rR1(iV8471,u)
| cC2(u) ),
file('KRS155+1.p',unknown),
[] ).
cnf(160,axiom,
( ~ cC2(u)
| ra_Px3(u,skf86(u)) ),
file('KRS155+1.p',unknown),
[] ).
cnf(161,axiom,
( ~ cC2xcomp(u)
| ~ ra_Px3(u,v) ),
file('KRS155+1.p',unknown),
[] ).
cnf(192,axiom,
( ~ cC50(u)
| ~ ra_Px13(u,v) ),
file('KRS155+1.p',unknown),
[] ).
cnf(194,axiom,
( ~ cC50xcomp(u)
| ra_Px13(u,skf120(u)) ),
file('KRS155+1.p',unknown),
[] ).
cnf(195,axiom,
( ~ cC52(u)
| ra_Px32(u,skf121(u)) ),
file('KRS155+1.p',unknown),
[] ).
cnf(196,axiom,
( ~ cC52xcomp(u)
| ~ ra_Px32(u,v) ),
file('KRS155+1.p',unknown),
[] ).
cnf(202,axiom,
( ~ cC6(u)
| rR1(u,skf128(u)) ),
file('KRS155+1.p',unknown),
[] ).
cnf(232,axiom,
( ~ cC8(u)
| ~ cC4(u)
| cC10(u) ),
file('KRS155+1.p',unknown),
[] ).
cnf(238,axiom,
( ~ cC48xcomp(u)
| ~ cC50xcomp(u)
| cC52(u) ),
file('KRS155+1.p',unknown),
[] ).
cnf(240,axiom,
( ~ cC58(u)
| ~ cC2xcomp(u)
| cC60(u) ),
file('KRS155+1.p',unknown),
[] ).
cnf(241,axiom,
( ~ cC64(u)
| ~ cC2xcomp(u)
| cC66(u) ),
file('KRS155+1.p',unknown),
[] ).
cnf(244,axiom,
( ~ cC2xcomp(u)
| ~ cC78xcomp(u)
| cC80(u) ),
file('KRS155+1.p',unknown),
[] ).
cnf(249,axiom,
( ~ cTOP(u)
| ~ rR1(v,u)
| cC14(v) ),
file('KRS155+1.p',unknown),
[] ).
cnf(251,axiom,
( ~ cC2xcomp(u)
| ~ rR1(v,u)
| cC20(v) ),
file('KRS155+1.p',unknown),
[] ).
cnf(252,axiom,
( ~ cC2xcomp(u)
| ~ rR1(v,u)
| cC22(v) ),
file('KRS155+1.p',unknown),
[] ).
cnf(255,axiom,
( ~ cC2(u)
| ~ rR1(v,u)
| cC32(v) ),
file('KRS155+1.p',unknown),
[] ).
cnf(256,axiom,
( ~ cC32xcomp(u)
| ~ rR1(v,u)
| cC34(v) ),
file('KRS155+1.p',unknown),
[] ).
cnf(257,axiom,
( ~ cC2(u)
| ~ rR1(v,u)
| cC36(v) ),
file('KRS155+1.p',unknown),
[] ).
cnf(259,axiom,
( ~ cC2xcomp(u)
| ~ rR1(v,u)
| cC4(v) ),
file('KRS155+1.p',unknown),
[] ).
cnf(262,axiom,
( ~ cC2xcomp(u)
| ~ rR1(v,u)
| cC48(v) ),
file('KRS155+1.p',unknown),
[] ).
cnf(263,axiom,
( ~ cC2(u)
| ~ rR1(v,u)
| cC50(v) ),
file('KRS155+1.p',unknown),
[] ).
cnf(265,axiom,
( ~ cC2(u)
| ~ rR1(v,u)
| cC58(v) ),
file('KRS155+1.p',unknown),
[] ).
cnf(266,axiom,
( ~ cC2xcomp(u)
| ~ rR1(v,u)
| cC6(v) ),
file('KRS155+1.p',unknown),
[] ).
cnf(267,axiom,
( ~ cC60(u)
| ~ rR1(v,u)
| cC62(v) ),
file('KRS155+1.p',unknown),
[] ).
cnf(268,axiom,
( ~ cC2(u)
| ~ rR1(v,u)
| cC64(v) ),
file('KRS155+1.p',unknown),
[] ).
cnf(269,axiom,
( ~ cC66(u)
| ~ rR1(v,u)
| cC68(v) ),
file('KRS155+1.p',unknown),
[] ).
cnf(272,axiom,
( ~ cC2xcomp(u)
| ~ rR1(v,u)
| cC78(v) ),
file('KRS155+1.p',unknown),
[] ).
cnf(273,axiom,
( ~ cC6xcomp(u)
| ~ rR1(v,u)
| cC8(v) ),
file('KRS155+1.p',unknown),
[] ).
cnf(274,axiom,
( ~ cC80(u)
| ~ rR1(v,u)
| cC82(v) ),
file('KRS155+1.p',unknown),
[] ).
cnf(275,axiom,
( ~ cC2xcomp(u)
| ~ rR1(v,u)
| cC84(v) ),
file('KRS155+1.p',unknown),
[] ).
cnf(279,axiom,
( ~ xsd_string(skc5)
| ~ cowlThing(skc3)
| ~ cC20(iV8467)
| ~ cC4(iV8467)
| ~ cC8(iV8467)
| ~ cC82(iV8467)
| ~ cC62(iV8467)
| ~ cC14(iV8467)
| ~ cC34(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing(iV8467)
| ~ cC48(iV8467)
| ~ cowlThing(iV8471)
| ~ cC80(iV8471)
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cowlThing(iV8472)
| xsd_integer(skc5)
| cowlNothing(skc4) ),
file('KRS155+1.p',unknown),
[] ).
cnf(280,axiom,
( ~ xsd_integer(skc5)
| ~ cowlThing(skc3)
| ~ cC20(iV8467)
| ~ cC4(iV8467)
| ~ cC8(iV8467)
| ~ cC82(iV8467)
| ~ cC62(iV8467)
| ~ cC14(iV8467)
| ~ cC34(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing(iV8467)
| ~ cC48(iV8467)
| ~ cowlThing(iV8471)
| ~ cC80(iV8471)
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cowlThing(iV8472)
| xsd_string(skc5)
| cowlNothing(skc4) ),
file('KRS155+1.p',unknown),
[] ).
cnf(281,plain,
( ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC14(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[279,53,1,27]),
[iquote('0:MRR:279.0,279.1,279.10,279.12,279.16,279.18,53.1,1.0,1.0,1.0,1.0,27.0')] ).
cnf(282,plain,
( ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC14(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[280,281,1,27]),
[iquote('0:MRR:280.0,280.1,280.10,280.12,280.16,280.18,281.12,1.0,1.0,1.0,1.0,27.0')] ).
cnf(485,plain,
( cC50(u)
| cC50xcomp(u) ),
inference(res,[status(thm),theory(equality)],[118,119]),
[iquote('0:Res:118.1,119.0')] ).
cnf(491,plain,
( cC6(u)
| cC6xcomp(u) ),
inference(res,[status(thm),theory(equality)],[125,126]),
[iquote('0:Res:125.1,126.0')] ).
cnf(496,plain,
( cC48xcomp(u)
| cC48(u) ),
inference(res,[status(thm),theory(equality)],[117,116]),
[iquote('0:Res:117.1,116.0')] ).
cnf(512,plain,
( cC52xcomp(u)
| cC52(u) ),
inference(res,[status(thm),theory(equality)],[121,120]),
[iquote('0:Res:121.1,120.0')] ).
cnf(554,plain,
( ~ cC6(iV8471)
| cC2(skf128(iV8471)) ),
inference(res,[status(thm),theory(equality)],[202,151]),
[iquote('0:Res:202.1,151.0')] ).
cnf(560,plain,
( cC2(skf128(iV8471))
| cC6xcomp(iV8471) ),
inference(sor,[status(thm)],[554,491]),
[iquote('0:SoR:554.0,491.0')] ).
cnf(670,plain,
( ~ cC52(u)
| ~ cC52xcomp(u) ),
inference(res,[status(thm),theory(equality)],[195,196]),
[iquote('0:Res:195.1,196.1')] ).
cnf(687,plain,
( ~ cC50xcomp(u)
| ~ cC50(u) ),
inference(res,[status(thm),theory(equality)],[194,192]),
[iquote('0:Res:194.1,192.1')] ).
cnf(737,plain,
( ~ cC2(u)
| ~ cC2xcomp(u) ),
inference(res,[status(thm),theory(equality)],[160,161]),
[iquote('0:Res:160.1,161.1')] ).
cnf(773,plain,
cC6xcomp(iV8471),
inference(ems,[status(thm)],[737,560,38]),
[iquote('0:EmS:737.0,737.1,560.0,38.0')] ).
cnf(796,plain,
( ~ cC48xcomp(iV8467)
| ~ cC50xcomp(iV8467) ),
inference(ems,[status(thm)],[670,238,2]),
[iquote('0:EmS:670.0,670.1,238.2,2.0')] ).
cnf(828,plain,
( cC48(iV8467)
| cC50(iV8467) ),
inference(sor,[status(thm)],[796,496,485]),
[iquote('0:SoR:796.0,796.1,496.0,485.1')] ).
cnf(839,plain,
cC48(iV8467),
inference(spt,[spt(split,[position(s1)])],[828]),
[iquote('1:Spt:828.0')] ).
cnf(840,plain,
( ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC14(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[282,839]),
[iquote('1:MRR:282.3,839.0')] ).
cnf(841,plain,
( ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC14(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[281,839]),
[iquote('1:MRR:281.3,839.0')] ).
cnf(872,plain,
( ~ cC2(iV8476)
| cC64(iV8472) ),
inference(res,[status(thm),theory(equality)],[52,268]),
[iquote('0:Res:52.0,268.1')] ).
cnf(908,plain,
cC64(iV8472),
inference(ssi,[status(thm)],[872,25]),
[iquote('0:SSi:872.0,25.0')] ).
cnf(913,plain,
( ~ cC2(iV8476)
| cC50(iV8472) ),
inference(res,[status(thm),theory(equality)],[52,263]),
[iquote('0:Res:52.0,263.1')] ).
cnf(949,plain,
cC50(iV8472),
inference(ssi,[status(thm)],[913,25]),
[iquote('0:SSi:913.0,25.0')] ).
cnf(954,plain,
~ cC52(iV8472),
inference(ems,[status(thm)],[687,66,949]),
[iquote('0:EmS:687.0,687.1,66.1,949.0')] ).
cnf(956,plain,
cC52xcomp(iV8472),
inference(sor,[status(thm)],[954,512]),
[iquote('0:SoR:954.0,512.1')] ).
cnf(960,plain,
( ~ cC2(iV8476)
| cC36(iV8472) ),
inference(res,[status(thm),theory(equality)],[52,257]),
[iquote('0:Res:52.0,257.1')] ).
cnf(996,plain,
cC36(iV8472),
inference(ssi,[status(thm)],[960,25]),
[iquote('0:SSi:960.0,25.0')] ).
cnf(1002,plain,
( ~ cC2(iV8476)
| cC32(iV8472) ),
inference(res,[status(thm),theory(equality)],[52,255]),
[iquote('0:Res:52.0,255.1')] ).
cnf(1038,plain,
cC32(iV8472),
inference(ssi,[status(thm)],[1002,25]),
[iquote('0:SSi:1002.0,25.0')] ).
cnf(1044,plain,
( ~ cC2xcomp(iV8472)
| cC84(iV8467) ),
inference(res,[status(thm),theory(equality)],[51,275]),
[iquote('0:Res:51.0,275.1')] ).
cnf(1079,plain,
cC84(iV8467),
inference(ssi,[status(thm)],[1044,17,908,949,956,996,1038]),
[iquote('0:SSi:1044.0,17.0,908.0,949.0,956.0,996.0,1038.0')] ).
cnf(1091,plain,
( ~ cC2xcomp(iV8472)
| cC78(iV8467) ),
inference(res,[status(thm),theory(equality)],[51,272]),
[iquote('0:Res:51.0,272.1')] ).
cnf(1126,plain,
cC78(iV8467),
inference(ssi,[status(thm)],[1091,17,908,949,956,996,1038]),
[iquote('0:SSi:1091.0,17.0,908.0,949.0,956.0,996.0,1038.0')] ).
cnf(1138,plain,
( ~ cC2xcomp(iV8472)
| cC6(iV8467) ),
inference(res,[status(thm),theory(equality)],[51,266]),
[iquote('0:Res:51.0,266.1')] ).
cnf(1173,plain,
cC6(iV8467),
inference(ssi,[status(thm)],[1138,17,908,949,956,996,1038]),
[iquote('0:SSi:1138.0,17.0,908.0,949.0,956.0,996.0,1038.0')] ).
cnf(1182,plain,
( ~ cC2xcomp(iV8472)
| cC22(iV8467) ),
inference(res,[status(thm),theory(equality)],[51,252]),
[iquote('0:Res:51.0,252.1')] ).
cnf(1217,plain,
cC22(iV8467),
inference(ssi,[status(thm)],[1182,17,908,949,956,996,1038]),
[iquote('0:SSi:1182.0,17.0,908.0,949.0,956.0,996.0,1038.0')] ).
cnf(1468,plain,
( ~ cC66(iV8472)
| cC68(iV8467) ),
inference(res,[status(thm),theory(equality)],[51,269]),
[iquote('0:Res:51.0,269.1')] ).
cnf(1503,plain,
cC68(iV8467),
inference(ssi,[status(thm)],[1468,241,17,908,949,956,996,1038]),
[iquote('0:SSi:1468.0,241.0,17.0,908.0,949.0,956.0,996.0,1038.2')] ).
cnf(1635,plain,
( ~ cTOP(iV8470)
| cC14(iV8467) ),
inference(res,[status(thm),theory(equality)],[45,249]),
[iquote('0:Res:45.0,249.1')] ).
cnf(1664,plain,
cC14(iV8467),
inference(ssi,[status(thm)],[1635,12]),
[iquote('0:SSi:1635.0,12.0')] ).
cnf(1665,plain,
( ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[840,1664]),
[iquote('1:MRR:840.5,1664.0')] ).
cnf(1666,plain,
( ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[841,1664]),
[iquote('1:MRR:841.5,1664.0')] ).
cnf(1679,plain,
( ~ cC6xcomp(iV8469)
| cC8(iV8467) ),
inference(res,[status(thm),theory(equality)],[46,273]),
[iquote('0:Res:46.0,273.1')] ).
cnf(1709,plain,
cC8(iV8467),
inference(ssi,[status(thm)],[1679,10]),
[iquote('0:SSi:1679.0,10.0')] ).
cnf(1710,plain,
( ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[1665,1709]),
[iquote('1:MRR:1665.7,1709.0')] ).
cnf(1711,plain,
( ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[1666,1709]),
[iquote('1:MRR:1666.7,1709.0')] ).
cnf(1717,plain,
( ~ cC32xcomp(iV8474)
| cC34(iV8467) ),
inference(res,[status(thm),theory(equality)],[47,256]),
[iquote('0:Res:47.0,256.1')] ).
cnf(1748,plain,
cC34(iV8467),
inference(ssi,[status(thm)],[1717,21]),
[iquote('0:SSi:1717.0,21.0')] ).
cnf(1749,plain,
( ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cC10(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[1710,1748]),
[iquote('1:MRR:1710.4,1748.0')] ).
cnf(1750,plain,
( ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cC10(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[1711,1748]),
[iquote('1:MRR:1711.4,1748.0')] ).
cnf(1760,plain,
( ~ cC80(iV8471)
| cC82(iV8467) ),
inference(res,[status(thm),theory(equality)],[44,274]),
[iquote('0:Res:44.0,274.1')] ).
cnf(1788,plain,
cC82(iV8467),
inference(ssi,[status(thm)],[1760,244,14,15,773]),
[iquote('0:SSi:1760.0,244.0,14.0,15.0,773.2')] ).
cnf(1789,plain,
( ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cC10(iV8467)
| ~ cC62(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[1749,1788]),
[iquote('1:MRR:1749.5,1788.0')] ).
cnf(1790,plain,
( ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cC10(iV8467)
| ~ cC62(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[1750,1788]),
[iquote('1:MRR:1750.5,1788.0')] ).
cnf(1792,plain,
( ~ cC2(iV8476)
| cC58(iV8472) ),
inference(res,[status(thm),theory(equality)],[52,265]),
[iquote('0:Res:52.0,265.1')] ).
cnf(1828,plain,
cC58(iV8472),
inference(ssi,[status(thm)],[1792,25]),
[iquote('0:SSi:1792.0,25.0')] ).
cnf(1829,plain,
( ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC10(iV8467)
| ~ cC62(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[1789,1828]),
[iquote('1:MRR:1789.1,1828.0')] ).
cnf(1830,plain,
( ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC10(iV8467)
| ~ cC62(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[1790,1828]),
[iquote('1:MRR:1790.1,1828.0')] ).
cnf(1847,plain,
( ~ cC2xcomp(iV8471)
| cC48(iV8467) ),
inference(res,[status(thm),theory(equality)],[44,262]),
[iquote('0:Res:44.0,262.1')] ).
cnf(1890,plain,
( ~ cC2xcomp(iV8472)
| cC4(iV8467) ),
inference(res,[status(thm),theory(equality)],[51,259]),
[iquote('0:Res:51.0,259.1')] ).
cnf(1925,plain,
cC4(iV8467),
inference(ssi,[status(thm)],[1890,17,908,949,956,996,1038,1828]),
[iquote('0:SSi:1890.0,17.0,908.0,949.0,956.0,996.0,1038.0,1828.0')] ).
cnf(1926,plain,
( ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC10(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[1829,1925]),
[iquote('1:MRR:1829.4,1925.0')] ).
cnf(1927,plain,
( ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC10(iV8467)
| ~ cC62(iV8467)
| ~ cC20(iV8467)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[1830,1925]),
[iquote('1:MRR:1830.4,1925.0')] ).
cnf(1940,plain,
( ~ cC2xcomp(iV8472)
| cC20(iV8467) ),
inference(res,[status(thm),theory(equality)],[51,251]),
[iquote('0:Res:51.0,251.1')] ).
cnf(1975,plain,
cC20(iV8467),
inference(ssi,[status(thm)],[1940,17,908,949,956,996,1038,1828]),
[iquote('0:SSi:1940.0,17.0,908.0,949.0,956.0,996.0,1038.0,1828.0')] ).
cnf(1976,plain,
( ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC10(iV8467)
| ~ cC62(iV8467)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[1926,1975]),
[iquote('1:MRR:1926.4,1975.0')] ).
cnf(1977,plain,
( ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC10(iV8467)
| ~ cC62(iV8467)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[1927,1975]),
[iquote('1:MRR:1927.4,1975.0')] ).
cnf(1988,plain,
( ~ cC60(iV8472)
| cC62(iV8467) ),
inference(res,[status(thm),theory(equality)],[51,267]),
[iquote('0:Res:51.0,267.1')] ).
cnf(2023,plain,
cC62(iV8467),
inference(ssi,[status(thm)],[1988,240,17,908,949,956,996,1038,1828]),
[iquote('0:SSi:1988.0,240.0,17.0,908.0,949.0,956.0,996.0,1038.0,1828.2')] ).
cnf(2024,plain,
( ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC10(iV8467)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[1976,2023]),
[iquote('1:MRR:1976.3,2023.0')] ).
cnf(2025,plain,
( ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC10(iV8467)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[1977,2023]),
[iquote('1:MRR:1977.3,2023.0')] ).
cnf(2029,plain,
( ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cC10(iV8467)
| ~ cC10(iV8467)
| ~ cC80(iV8471)
| ~ cC60(iV8472) ),
inference(ems,[status(thm)],[86,2025,2024]),
[iquote('1:EmS:86.0,86.1,2025.3,2024.3')] ).
cnf(2030,plain,
( ~ cC10(iV8467)
| ~ cC80(iV8471)
| ~ cC60(iV8472) ),
inference(obv,[status(thm),theory(equality)],[2029]),
[iquote('1:Obv:2029.2')] ).
cnf(2654,plain,
( ~ cC2xcomp(iV8471)
| ~ cC78xcomp(iV8471)
| ~ cC10(iV8467)
| ~ cC60(iV8472) ),
inference(res,[status(thm),theory(equality)],[244,2030]),
[iquote('1:Res:244.2,2030.1')] ).
cnf(2655,plain,
( ~ cC10(iV8467)
| ~ cC60(iV8472) ),
inference(ssi,[status(thm)],[2654,14,15,773]),
[iquote('1:SSi:2654.1,2654.0,14.0,15.0,773.0,14.0,15.0,773.0')] ).
cnf(2661,plain,
( ~ cC58(iV8472)
| ~ cC2xcomp(iV8472)
| ~ cC10(iV8467) ),
inference(res,[status(thm),theory(equality)],[240,2655]),
[iquote('1:Res:240.2,2655.1')] ).
cnf(2836,plain,
~ cC10(iV8467),
inference(ssi,[status(thm)],[2661,17,908,949,956,996,1038,1828]),
[iquote('1:SSi:2661.1,2661.0,17.0,908.0,949.0,956.0,996.0,1038.0,1828.0,17.0,908.0,949.0,956.0,996.0,1038.0,1828.0')] ).
cnf(2841,plain,
( ~ cC8(iV8467)
| ~ cC4(iV8467) ),
inference(res,[status(thm),theory(equality)],[232,2836]),
[iquote('1:Res:232.2,2836.0')] ).
cnf(2876,plain,
$false,
inference(ssi,[status(thm)],[2841,2,839,1079,1126,1173,1217,1503,1664,1709,1748,1788,1925,1975,2023]),
[iquote('1:SSi:2841.1,2841.0,2.0,839.0,1079.0,1126.0,1173.0,1217.0,1503.0,1664.0,1709.0,1748.0,1788.0,1925.0,1975.0,2023.0,2.0,839.0,1079.0,1126.0,1173.0,1217.0,1503.0,1664.0,1709.0,1748.0,1788.0,1925.0,1975.0,2023.0')] ).
cnf(2877,plain,
~ cC48(iV8467),
inference(spt,[spt(split,[position(sa)])],[2876,839]),
[iquote('1:Spt:2876.0,828.0,839.0')] ).
cnf(2878,plain,
cC50(iV8467),
inference(spt,[spt(split,[position(s2)])],[828]),
[iquote('1:Spt:2876.0,828.1')] ).
cnf(2890,plain,
cC48(iV8467),
inference(ssi,[status(thm)],[1847,14,15,773]),
[iquote('0:SSi:1847.0,14.0,15.0,773.0')] ).
cnf(2891,plain,
$false,
inference(mrr,[status(thm)],[2890,2877]),
[iquote('1:MRR:2890.0,2877.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS155+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n029.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 14:59:50 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.76/1.00
% 0.76/1.00 SPASS V 3.9
% 0.76/1.00 SPASS beiseite: Proof found.
% 0.76/1.00 % SZS status Theorem
% 0.76/1.00 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.76/1.00 SPASS derived 2169 clauses, backtracked 356 clauses, performed 13 splits and kept 1922 clauses.
% 0.76/1.00 SPASS allocated 100616 KBytes.
% 0.76/1.00 SPASS spent 0:00:00.65 on the problem.
% 0.76/1.00 0:00:00.04 for the input.
% 0.76/1.00 0:00:00.16 for the FLOTTER CNF translation.
% 0.76/1.00 0:00:00.03 for inferences.
% 0.76/1.00 0:00:00.01 for the backtracking.
% 0.76/1.00 0:00:00.35 for the reduction.
% 0.76/1.00
% 0.76/1.00
% 0.76/1.00 Here is a proof with depth 4, length 143 :
% 0.76/1.00 % SZS output start Refutation
% See solution above
% 0.84/1.01 Formulae used in the proof : axiom_0 axiom_97 axiom_113 axiom_116 axiom_118 axiom_119 axiom_122 axiom_127 axiom_132 axiom_59 axiom_130 axiom_103 axiom_104 axiom_105 axiom_106 axiom_110 axiom_124 axiom_1 axiom_51 axiom_45 axiom_46 axiom_47 axiom_49 axiom_50 axiom_52 axiom_58 axiom_60 axiom_121 axiom_11 axiom_12 axiom_2 axiom_61 axiom_66 axiom_80 axiom_5 axiom_13 axiom_16 axiom_25 axiom_29 axiom_31 axiom_35 axiom_44 axiom_48 axiom_57 axiom_62 axiom_65 axiom_67 axiom_76 axiom_79 axiom_82 axiom_84 the_axiom
% 0.84/1.01
%------------------------------------------------------------------------------