TSTP Solution File: KRS158+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS158+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 39
% Syntax : Number of clauses : 82 ( 21 unt; 9 nHn; 82 RR)
% Number of literals : 214 ( 0 equ; 139 neg)
% Maximal clause size : 13 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
cowlThing(u),
file('KRS158+1.p',unknown),
[] ).
cnf(3,axiom,
cTEST(iV16560),
file('KRS158+1.p',unknown),
[] ).
cnf(4,axiom,
cTOP(iV16560),
file('KRS158+1.p',unknown),
[] ).
cnf(6,axiom,
cC4xcomp(iV16561),
file('KRS158+1.p',unknown),
[] ).
cnf(7,axiom,
cC2xcomp(iV16561),
file('KRS158+1.p',unknown),
[] ).
cnf(9,axiom,
cC10xcomp(iV16562),
file('KRS158+1.p',unknown),
[] ).
cnf(10,axiom,
cC2xcomp(iV16562),
file('KRS158+1.p',unknown),
[] ).
cnf(11,axiom,
~ cowlNothing(u),
file('KRS158+1.p',unknown),
[] ).
cnf(12,axiom,
cC2xcomp(skf11(u)),
file('KRS158+1.p',unknown),
[] ).
cnf(13,axiom,
cC12(skf13(u)),
file('KRS158+1.p',unknown),
[] ).
cnf(14,axiom,
cC2xcomp(skf17(u)),
file('KRS158+1.p',unknown),
[] ).
cnf(17,axiom,
rR1(iV16560,iV16561),
file('KRS158+1.p',unknown),
[] ).
cnf(18,axiom,
( xsd_string(u)
| xsd_integer(u) ),
file('KRS158+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ cC12(u)
| cC10xcomp(u) ),
file('KRS158+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ cC12(u)
| cC2xcomp(u) ),
file('KRS158+1.p',unknown),
[] ).
cnf(28,axiom,
( ~ cTEST(u)
| cC18(u) ),
file('KRS158+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ xsd_integer(u)
| ~ xsd_string(u) ),
file('KRS158+1.p',unknown),
[] ).
cnf(30,axiom,
( ~ ra_Px3(u,v)
| cC10(u) ),
file('KRS158+1.p',unknown),
[] ).
cnf(31,axiom,
( cC10xcomp(u)
| ra_Px3(u,skf12(u)) ),
file('KRS158+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ ra_Px6(u,v)
| cC4(u) ),
file('KRS158+1.p',unknown),
[] ).
cnf(35,axiom,
( cC4xcomp(u)
| ra_Px6(u,skf18(u)) ),
file('KRS158+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ rR1(iV16561,u)
| cC2(u) ),
file('KRS158+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ rR1(iV16562,u)
| cC2(u) ),
file('KRS158+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ cC10(u)
| ra_Px3(u,skf10(u)) ),
file('KRS158+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ cC10(u)
| rR1(u,skf11(u)) ),
file('KRS158+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ cC10xcomp(u)
| ~ ra_Px3(u,v) ),
file('KRS158+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ cC14(u)
| rR1(u,skf13(u)) ),
file('KRS158+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ cC2(u)
| ~ ra_Px1(u,v) ),
file('KRS158+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ cC2xcomp(u)
| ra_Px1(u,skf15(u)) ),
file('KRS158+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ cC4(u)
| rR1(u,skf17(u)) ),
file('KRS158+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cC2xcomp(u)
| ~ cC10xcomp(u)
| cC12(u) ),
file('KRS158+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ cC8(u)
| ~ cC14(u)
| cC16(u) ),
file('KRS158+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ cC2xcomp(u)
| ~ cC4xcomp(u)
| cC6(u) ),
file('KRS158+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ cC2xcomp(u)
| ~ rR1(v,u)
| cC10(v) ),
file('KRS158+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ cC12(u)
| ~ rR1(v,u)
| cC14(v) ),
file('KRS158+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ cC2xcomp(u)
| ~ rR1(v,u)
| cC4(v) ),
file('KRS158+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ cC6(u)
| ~ rR1(v,u)
| cC8(v) ),
file('KRS158+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ xsd_string(skc5)
| ~ cowlThing(skc3)
| ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| xsd_integer(skc5)
| cowlNothing(skc4) ),
file('KRS158+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ xsd_integer(skc5)
| ~ cowlThing(skc3)
| ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562)
| xsd_string(skc5)
| cowlNothing(skc4) ),
file('KRS158+1.p',unknown),
[] ).
cnf(60,plain,
( ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[57,18,1,11]),
[iquote('0:MRR:57.0,57.1,57.6,57.8,57.10,57.12,18.1,1.0,1.0,1.0,1.0,11.0')] ).
cnf(61,plain,
( ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[58,60,1,11]),
[iquote('0:MRR:58.0,58.1,58.6,58.8,58.10,58.12,60.6,1.0,1.0,1.0,1.0,11.0')] ).
cnf(104,plain,
( cC4xcomp(u)
| cC4(u) ),
inference(res,[status(thm),theory(equality)],[35,34]),
[iquote('0:Res:35.1,34.0')] ).
cnf(105,plain,
( cC10xcomp(u)
| cC10(u) ),
inference(res,[status(thm),theory(equality)],[31,30]),
[iquote('0:Res:31.1,30.0')] ).
cnf(110,plain,
( ~ cC4(iV16562)
| cC2(skf17(iV16562)) ),
inference(res,[status(thm),theory(equality)],[45,37]),
[iquote('0:Res:45.1,37.0')] ).
cnf(112,plain,
( cC2(skf17(iV16562))
| cC4xcomp(iV16562) ),
inference(sor,[status(thm)],[110,104]),
[iquote('0:SoR:110.0,104.1')] ).
cnf(114,plain,
( ~ cC10(iV16561)
| cC2(skf11(iV16561)) ),
inference(res,[status(thm),theory(equality)],[39,36]),
[iquote('0:Res:39.1,36.0')] ).
cnf(117,plain,
( cC2(skf11(iV16561))
| cC10xcomp(iV16561) ),
inference(sor,[status(thm)],[114,105]),
[iquote('0:SoR:114.0,105.1')] ).
cnf(131,plain,
( ~ cC2xcomp(u)
| ~ cC2(u) ),
inference(res,[status(thm),theory(equality)],[43,42]),
[iquote('0:Res:43.1,42.1')] ).
cnf(134,plain,
cC10xcomp(iV16561),
inference(ems,[status(thm)],[131,12,117]),
[iquote('0:EmS:131.0,131.1,12.0,117.0')] ).
cnf(137,plain,
cC4xcomp(iV16562),
inference(ems,[status(thm)],[131,14,112]),
[iquote('0:EmS:131.0,131.1,14.0,112.0')] ).
cnf(147,plain,
( ~ cC10(u)
| ~ cC10xcomp(u) ),
inference(res,[status(thm),theory(equality)],[38,40]),
[iquote('0:Res:38.1,40.1')] ).
cnf(158,plain,
( ~ cC2xcomp(iV16561)
| cC4(iV16560) ),
inference(res,[status(thm),theory(equality)],[17,55]),
[iquote('0:Res:17.0,55.1')] ).
cnf(164,plain,
cC4(iV16560),
inference(ssi,[status(thm)],[158,6,7,134]),
[iquote('0:SSi:158.0,6.0,7.0,134.0')] ).
cnf(170,plain,
( ~ cC2xcomp(iV16561)
| cC10(iV16560) ),
inference(res,[status(thm),theory(equality)],[17,53]),
[iquote('0:Res:17.0,53.1')] ).
cnf(172,plain,
( ~ cC4(u)
| ~ cC2xcomp(skf17(u))
| cC10(u) ),
inference(res,[status(thm),theory(equality)],[45,53]),
[iquote('0:Res:45.1,53.1')] ).
cnf(176,plain,
cC10(iV16560),
inference(ssi,[status(thm)],[170,6,7,134]),
[iquote('0:SSi:170.0,6.0,7.0,134.0')] ).
cnf(177,plain,
( ~ cC4(u)
| cC10(u) ),
inference(ssi,[status(thm)],[172,14]),
[iquote('0:SSi:172.1,14.0')] ).
cnf(188,plain,
( ~ cC6(iV16561)
| cC8(iV16560) ),
inference(res,[status(thm),theory(equality)],[17,56]),
[iquote('0:Res:17.0,56.1')] ).
cnf(193,plain,
( ~ cC14(u)
| ~ cC6(skf13(u))
| cC8(u) ),
inference(res,[status(thm),theory(equality)],[41,56]),
[iquote('0:Res:41.1,56.1')] ).
cnf(194,plain,
cC8(iV16560),
inference(ssi,[status(thm)],[188,51,6,7,134]),
[iquote('0:SSi:188.0,51.0,6.0,7.0,134.2')] ).
cnf(195,plain,
( ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[61,194]),
[iquote('0:MRR:61.3,194.0')] ).
cnf(196,plain,
( ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC18(iV16560)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[60,194]),
[iquote('0:MRR:60.3,194.0')] ).
cnf(204,plain,
( ~ cC12(iV16561)
| cC14(iV16560) ),
inference(res,[status(thm),theory(equality)],[17,54]),
[iquote('0:Res:17.0,54.1')] ).
cnf(210,plain,
cC14(iV16560),
inference(ssi,[status(thm)],[204,48,6,7,134]),
[iquote('0:SSi:204.0,48.0,6.0,7.0,134.2')] ).
cnf(211,plain,
( ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[195,210]),
[iquote('0:MRR:195.3,210.0')] ).
cnf(212,plain,
( ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[196,210]),
[iquote('0:MRR:196.3,210.0')] ).
cnf(227,plain,
( ~ cC4(u)
| ~ cC12(u) ),
inference(ems,[status(thm)],[147,177,19]),
[iquote('0:EmS:147.0,147.1,177.1,19.1')] ).
cnf(231,plain,
( ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cC6(iV16561)
| ~ cC12(iV16562) ),
inference(ems,[status(thm)],[29,212,211]),
[iquote('0:EmS:29.0,29.1,212.4,211.4')] ).
cnf(232,plain,
( ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cC6(iV16561)
| ~ cC12(iV16562) ),
inference(obv,[status(thm),theory(equality)],[231]),
[iquote('0:Obv:231.3')] ).
cnf(284,plain,
( ~ cC14(u)
| ~ cC4xcomp(skf13(u))
| ~ cC2xcomp(skf13(u))
| cC8(u) ),
inference(sor,[status(thm)],[193,51]),
[iquote('0:SoR:193.1,51.2')] ).
cnf(285,plain,
( ~ cC14(u)
| ~ cC4xcomp(skf13(u))
| cC8(u) ),
inference(ssi,[status(thm)],[284,20,13]),
[iquote('0:SSi:284.2,20.0,13.1')] ).
cnf(305,plain,
cC4xcomp(skf13(u)),
inference(ems,[status(thm)],[227,104,13]),
[iquote('0:EmS:227.0,227.1,104.1,13.0')] ).
cnf(309,plain,
( ~ cC14(u)
| cC8(u) ),
inference(mrr,[status(thm)],[285,305]),
[iquote('0:MRR:285.1,305.0')] ).
cnf(310,plain,
( ~ cC14(u)
| cC16(u) ),
inference(mrr,[status(thm)],[49,309]),
[iquote('0:MRR:49.0,309.1')] ).
cnf(429,plain,
( ~ cTEST(iV16560)
| ~ cC16(iV16560)
| ~ cC6(iV16561)
| ~ cC12(iV16562) ),
inference(res,[status(thm),theory(equality)],[28,232]),
[iquote('0:Res:28.1,232.0')] ).
cnf(430,plain,
( ~ cC16(iV16560)
| ~ cC6(iV16561)
| ~ cC12(iV16562) ),
inference(ssi,[status(thm)],[429,4,3,164,176,194,210]),
[iquote('0:SSi:429.0,4.0,3.0,164.0,176.0,194.0,210.0')] ).
cnf(436,plain,
( ~ cC14(iV16560)
| ~ cC6(iV16561)
| ~ cC12(iV16562) ),
inference(res,[status(thm),theory(equality)],[310,430]),
[iquote('0:Res:310.1,430.0')] ).
cnf(438,plain,
( ~ cC6(iV16561)
| ~ cC12(iV16562) ),
inference(ssi,[status(thm)],[436,4,3,164,176,194,210]),
[iquote('0:SSi:436.0,4.0,3.0,164.0,176.0,194.0,210.0')] ).
cnf(439,plain,
( ~ cC2xcomp(iV16561)
| ~ cC4xcomp(iV16561)
| ~ cC12(iV16562) ),
inference(res,[status(thm),theory(equality)],[51,438]),
[iquote('0:Res:51.2,438.0')] ).
cnf(440,plain,
~ cC12(iV16562),
inference(ssi,[status(thm)],[439,6,7,134]),
[iquote('0:SSi:439.1,439.0,6.0,7.0,134.0,6.0,7.0,134.0')] ).
cnf(441,plain,
( ~ cC2xcomp(iV16562)
| ~ cC10xcomp(iV16562) ),
inference(res,[status(thm),theory(equality)],[48,440]),
[iquote('0:Res:48.2,440.0')] ).
cnf(442,plain,
$false,
inference(ssi,[status(thm)],[441,9,10,137]),
[iquote('0:SSi:441.1,441.0,9.0,10.0,137.0,9.0,10.0,137.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : KRS158+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jun 7 13:34:47 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.46
% 0.18/0.46 SPASS V 3.9
% 0.18/0.46 SPASS beiseite: Proof found.
% 0.18/0.46 % SZS status Theorem
% 0.18/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 SPASS derived 311 clauses, backtracked 0 clauses, performed 0 splits and kept 160 clauses.
% 0.18/0.46 SPASS allocated 98303 KBytes.
% 0.18/0.46 SPASS spent 0:00:00.12 on the problem.
% 0.18/0.46 0:00:00.04 for the input.
% 0.18/0.46 0:00:00.05 for the FLOTTER CNF translation.
% 0.18/0.46 0:00:00.00 for inferences.
% 0.18/0.46 0:00:00.00 for the backtracking.
% 0.18/0.46 0:00:00.01 for the reduction.
% 0.18/0.46
% 0.18/0.46
% 0.18/0.46 Here is a proof with depth 5, length 82 :
% 0.18/0.46 % SZS output start Refutation
% See solution above
% 0.18/0.46 Formulae used in the proof : axiom_0 axiom_18 axiom_19 axiom_24 axiom_25 axiom_28 axiom_29 axiom_3 axiom_10 axiom_6 axiom_5 axiom_12 axiom_21 axiom_1 axiom_16 axiom_2 axiom_4 axiom_11 axiom_13 axiom_23 axiom_27 axiom_9 axiom_7 axiom_14 axiom_15 the_axiom
% 0.18/0.46
%------------------------------------------------------------------------------