TSTP Solution File: KRS150+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS150+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 03:30:43 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 31
% Syntax : Number of clauses : 71 ( 25 unt; 14 nHn; 71 RR)
% Number of literals : 180 ( 0 equ; 111 neg)
% Maximal clause size : 13 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
cowlThing(u),
file('KRS150+1.p',unknown),
[] ).
cnf(2,axiom,
cTOP(iV16560),
file('KRS150+1.p',unknown),
[] ).
cnf(3,axiom,
cTEST(iV16560),
file('KRS150+1.p',unknown),
[] ).
cnf(7,axiom,
~ cowlNothing(u),
file('KRS150+1.p',unknown),
[] ).
cnf(8,axiom,
cC12(skf5(u)),
file('KRS150+1.p',unknown),
[] ).
cnf(11,axiom,
rR1(iV16560,iV16561),
file('KRS150+1.p',unknown),
[] ).
cnf(12,axiom,
~ cC4(iV16561),
file('KRS150+1.p',unknown),
[] ).
cnf(13,axiom,
~ cC2(iV16561),
file('KRS150+1.p',unknown),
[] ).
cnf(14,axiom,
~ cC10(iV16562),
file('KRS150+1.p',unknown),
[] ).
cnf(15,axiom,
~ cC2(iV16562),
file('KRS150+1.p',unknown),
[] ).
cnf(16,axiom,
( xsd_string(u)
| xsd_integer(u) ),
file('KRS150+1.p',unknown),
[] ).
cnf(17,axiom,
~ cC2(skf4(u)),
file('KRS150+1.p',unknown),
[] ).
cnf(18,axiom,
~ cC2(skf6(u)),
file('KRS150+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ cTEST(u)
| cC18(u) ),
file('KRS150+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ xsd_integer(u)
| ~ xsd_string(u) ),
file('KRS150+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ cC12(u)
| ~ cC2(u) ),
file('KRS150+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ cC12(u)
| ~ cC10(u) ),
file('KRS150+1.p',unknown),
[] ).
cnf(28,axiom,
( cC12(u)
| cC10(u)
| cC2(u) ),
file('KRS150+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ cC6(u)
| ~ cC2(u) ),
file('KRS150+1.p',unknown),
[] ).
cnf(31,axiom,
( cC6(u)
| cC4(u)
| cC2(u) ),
file('KRS150+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ rR1(iV16561,u)
| cC2(u) ),
file('KRS150+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ cC10(u)
| rR1(u,skf4(u)) ),
file('KRS150+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ cC14(u)
| rR1(u,skf5(u)) ),
file('KRS150+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ cC4(u)
| rR1(u,skf6(u)) ),
file('KRS150+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ rR1(u,v)
| cC10(u)
| cC2(v) ),
file('KRS150+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ cC8(u)
| ~ cC14(u)
| cC16(u) ),
file('KRS150+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ rR1(u,v)
| cC4(u)
| cC2(v) ),
file('KRS150+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ cC12(u)
| ~ rR1(v,u)
| cC14(v) ),
file('KRS150+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ cC6(u)
| ~ rR1(v,u)
| cC8(v) ),
file('KRS150+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ xsd_string(skc5)
| ~ cowlThing(skc3)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562)
| xsd_integer(skc5)
| cowlNothing(skc4) ),
file('KRS150+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ xsd_integer(skc5)
| ~ cowlThing(skc3)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562)
| xsd_string(skc5)
| cowlNothing(skc4) ),
file('KRS150+1.p',unknown),
[] ).
cnf(48,plain,
( ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[45,16,1,7]),
[iquote('0:MRR:45.0,45.1,45.4,45.7,45.9,45.12,16.1,1.0,1.0,1.0,1.0,7.0')] ).
cnf(49,plain,
( ~ cC12(iV16562)
| ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[46,48,1,7]),
[iquote('0:MRR:46.0,46.1,46.4,46.7,46.9,46.12,48.6,1.0,1.0,1.0,1.0,7.0')] ).
cnf(82,plain,
( cC4(skf5(u))
| cC6(skf5(u)) ),
inference(ems,[status(thm)],[26,8,31]),
[iquote('0:EmS:26.0,26.1,8.0,31.2')] ).
cnf(85,plain,
( cC6(iV16561)
| cC4(iV16561) ),
inference(res,[status(thm),theory(equality)],[31,13]),
[iquote('0:Res:31.2,13.0')] ).
cnf(88,plain,
cC6(iV16561),
inference(mrr,[status(thm)],[85,12]),
[iquote('0:MRR:85.1,12.0')] ).
cnf(89,plain,
( ~ cC12(iV16562)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[49,88]),
[iquote('0:MRR:49.1,88.0')] ).
cnf(90,plain,
( ~ cC12(iV16562)
| ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[48,88]),
[iquote('0:MRR:48.1,88.0')] ).
cnf(93,plain,
( cC10(iV16561)
| cC12(iV16561) ),
inference(ems,[status(thm)],[29,88,28]),
[iquote('0:EmS:29.0,29.1,88.0,28.2')] ).
cnf(95,plain,
( cC12(iV16562)
| cC10(iV16562) ),
inference(res,[status(thm),theory(equality)],[28,15]),
[iquote('0:Res:28.2,15.0')] ).
cnf(99,plain,
cC12(iV16562),
inference(mrr,[status(thm)],[95,14]),
[iquote('0:MRR:95.1,14.0')] ).
cnf(100,plain,
( ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[89,99]),
[iquote('0:MRR:89.0,99.0')] ).
cnf(101,plain,
( ~ cC8(iV16560)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[90,99]),
[iquote('0:MRR:90.0,99.0')] ).
cnf(112,plain,
( ~ cC10(iV16561)
| cC2(skf4(iV16561)) ),
inference(res,[status(thm),theory(equality)],[34,32]),
[iquote('0:Res:34.1,32.0')] ).
cnf(114,plain,
~ cC10(iV16561),
inference(mrr,[status(thm)],[112,17]),
[iquote('0:MRR:112.1,17.0')] ).
cnf(115,plain,
cC12(iV16561),
inference(mrr,[status(thm)],[93,114]),
[iquote('0:MRR:93.0,114.0')] ).
cnf(134,plain,
( cC4(iV16560)
| cC2(iV16561) ),
inference(res,[status(thm),theory(equality)],[11,41]),
[iquote('0:Res:11.0,41.0')] ).
cnf(140,plain,
cC4(iV16560),
inference(mrr,[status(thm)],[134,13]),
[iquote('0:MRR:134.1,13.0')] ).
cnf(149,plain,
( cC10(iV16560)
| cC2(iV16561) ),
inference(res,[status(thm),theory(equality)],[11,38]),
[iquote('0:Res:11.0,38.0')] ).
cnf(151,plain,
( ~ cC4(u)
| cC10(u)
| cC2(skf6(u)) ),
inference(res,[status(thm),theory(equality)],[36,38]),
[iquote('0:Res:36.1,38.0')] ).
cnf(155,plain,
cC10(iV16560),
inference(mrr,[status(thm)],[149,13]),
[iquote('0:MRR:149.1,13.0')] ).
cnf(156,plain,
( ~ cC4(u)
| cC10(u) ),
inference(mrr,[status(thm)],[151,18]),
[iquote('0:MRR:151.2,18.0')] ).
cnf(162,plain,
~ cC4(skf5(u)),
inference(ems,[status(thm)],[27,8,156]),
[iquote('0:EmS:27.0,27.1,8.0,156.1')] ).
cnf(167,plain,
cC6(skf5(u)),
inference(mrr,[status(thm)],[82,162]),
[iquote('0:MRR:82.0,162.0')] ).
cnf(168,plain,
( ~ cC6(iV16561)
| cC8(iV16560) ),
inference(res,[status(thm),theory(equality)],[11,44]),
[iquote('0:Res:11.0,44.1')] ).
cnf(173,plain,
( ~ cC14(u)
| ~ cC6(skf5(u))
| cC8(u) ),
inference(res,[status(thm),theory(equality)],[35,44]),
[iquote('0:Res:35.1,44.1')] ).
cnf(174,plain,
cC8(iV16560),
inference(ssi,[status(thm)],[168,88,115]),
[iquote('0:SSi:168.0,88.0,115.0')] ).
cnf(175,plain,
( ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[100,174]),
[iquote('0:MRR:100.0,174.0')] ).
cnf(176,plain,
( ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC18(iV16560)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[101,174]),
[iquote('0:MRR:101.0,174.0')] ).
cnf(177,plain,
( ~ cC14(u)
| cC8(u) ),
inference(mrr,[status(thm)],[173,167]),
[iquote('0:MRR:173.1,167.0')] ).
cnf(178,plain,
( ~ cC14(u)
| cC16(u) ),
inference(mrr,[status(thm)],[39,177]),
[iquote('0:MRR:39.0,177.1')] ).
cnf(193,plain,
( ~ cC12(iV16561)
| cC14(iV16560) ),
inference(res,[status(thm),theory(equality)],[11,43]),
[iquote('0:Res:11.0,43.1')] ).
cnf(199,plain,
cC14(iV16560),
inference(ssi,[status(thm)],[193,88,115]),
[iquote('0:SSi:193.0,88.0,115.0')] ).
cnf(200,plain,
( ~ cC16(iV16560)
| ~ cC18(iV16560)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[175,199]),
[iquote('0:MRR:175.0,199.0')] ).
cnf(201,plain,
( ~ cC16(iV16560)
| ~ cC18(iV16560)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[176,199]),
[iquote('0:MRR:176.0,199.0')] ).
cnf(212,plain,
( ~ cC16(iV16560)
| ~ cC18(iV16560)
| ~ cC18(iV16560)
| ~ cC16(iV16560) ),
inference(ems,[status(thm)],[25,201,200]),
[iquote('0:EmS:25.0,25.1,201.2,200.2')] ).
cnf(213,plain,
( ~ cC18(iV16560)
| ~ cC16(iV16560) ),
inference(obv,[status(thm),theory(equality)],[212]),
[iquote('0:Obv:212.1')] ).
cnf(215,plain,
( ~ cTEST(iV16560)
| ~ cC16(iV16560) ),
inference(res,[status(thm),theory(equality)],[23,213]),
[iquote('0:Res:23.1,213.0')] ).
cnf(216,plain,
~ cC16(iV16560),
inference(ssi,[status(thm)],[215,3,2,140,155,174,199]),
[iquote('0:SSi:215.0,3.0,2.0,140.0,155.0,174.0,199.0')] ).
cnf(218,plain,
~ cC14(iV16560),
inference(res,[status(thm),theory(equality)],[178,216]),
[iquote('0:Res:178.1,216.0')] ).
cnf(220,plain,
$false,
inference(ssi,[status(thm)],[218,3,2,140,155,174,199]),
[iquote('0:SSi:218.0,3.0,2.0,140.0,155.0,174.0,199.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS150+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 16:44:30 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45
% 0.19/0.45 SPASS V 3.9
% 0.19/0.45 SPASS beiseite: Proof found.
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 121 clauses, backtracked 0 clauses, performed 0 splits and kept 109 clauses.
% 0.19/0.45 SPASS allocated 98156 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.45 0:00:00.03 for the input.
% 0.19/0.45 0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.00 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.01 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 3, length 71 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.45 Formulae used in the proof : axiom_0 axiom_11 axiom_12 axiom_4 axiom_3 axiom_21 axiom_20 axiom_15 axiom_16 axiom_19 axiom_1 axiom_2 axiom_7 axiom_10 axiom_8 axiom_18 axiom_5 axiom_9 the_axiom
% 0.19/0.45
%------------------------------------------------------------------------------