TSTP Solution File: KRS167+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS167+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 03:30:46 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of clauses : 59 ( 15 unt; 25 nHn; 59 RR)
% Number of literals : 149 ( 0 equ; 73 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 2 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
cowlThing(u),
file('KRS167+1.p',unknown),
[] ).
cnf(2,axiom,
~ cowlNothing(u),
file('KRS167+1.p',unknown),
[] ).
cnf(3,axiom,
( xsd_string(u)
| xsd_integer(u) ),
file('KRS167+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ xsd_integer(skc7)
| xsd_string(skc7)
| skC0 ),
file('KRS167+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ xsd_string(skc7)
| xsd_integer(skc7)
| skC0 ),
file('KRS167+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ xsd_integer(u)
| ~ xsd_string(u) ),
file('KRS167+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ cc1(u)
| rp(u,skf6(u)) ),
file('KRS167+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ cc2(u)
| rp(u,skf9(u)) ),
file('KRS167+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ rp(u,v)
| cc1(u)
| rp(u,skf8(u)) ),
file('KRS167+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ rp(u,v)
| cc1(u)
| rp(u,skf7(u)) ),
file('KRS167+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ rp(u,v)
| cc2(u)
| rp(u,skf11(u)) ),
file('KRS167+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ rp(u,v)
| cc2(u)
| rp(u,skf10(u)) ),
file('KRS167+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ cowlThing(skc4)
| ~ skC0
| cc1(skc6)
| cc2(skc6)
| cowlNothing(skc5) ),
file('KRS167+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ rp(u,v)
| ~ equal(skf8(u),skf7(u))
| cc1(u) ),
file('KRS167+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ rp(u,v)
| ~ equal(skf11(u),skf10(u))
| cc2(u) ),
file('KRS167+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ cc1(skc6)
| ~ cc2(skc6)
| ~ cowlThing(skc4)
| ~ skC0
| cowlNothing(skc5) ),
file('KRS167+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ cc1(u)
| ~ rp(u,v)
| ~ rp(u,w)
| equal(v,w) ),
file('KRS167+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ cc2(u)
| ~ rp(u,v)
| ~ rp(u,w)
| equal(v,w) ),
file('KRS167+1.p',unknown),
[] ).
cnf(19,plain,
( skC0
| xsd_integer(skc7) ),
inference(mrr,[status(thm)],[5,3]),
[iquote('0:MRR:5.0,3.1')] ).
cnf(20,plain,
( skC0
| xsd_string(skc7) ),
inference(mrr,[status(thm)],[4,19]),
[iquote('0:MRR:4.0,19.0')] ).
cnf(21,plain,
( ~ skC0
| cc2(skc6)
| cc1(skc6) ),
inference(mrr,[status(thm)],[13,1,2]),
[iquote('0:MRR:13.0,13.4,1.0,2.0')] ).
cnf(22,plain,
( ~ skC0
| ~ cc2(skc6)
| ~ cc1(skc6) ),
inference(mrr,[status(thm)],[16,1,2]),
[iquote('0:MRR:16.2,16.4,1.0,2.0')] ).
cnf(23,plain,
~ skC0,
inference(spt,[spt(split,[position(s1)])],[22]),
[iquote('1:Spt:22.0')] ).
cnf(24,plain,
xsd_integer(skc7),
inference(mrr,[status(thm)],[19,23]),
[iquote('1:MRR:19.0,23.0')] ).
cnf(25,plain,
xsd_string(skc7),
inference(mrr,[status(thm)],[20,23]),
[iquote('1:MRR:20.0,23.0')] ).
cnf(27,plain,
$false,
inference(ems,[status(thm)],[6,24,25]),
[iquote('1:EmS:6.0,6.1,24.0,25.0')] ).
cnf(28,plain,
skC0,
inference(spt,[spt(split,[position(sa)])],[27,23]),
[iquote('1:Spt:27.0,22.0,23.0')] ).
cnf(29,plain,
( ~ cc2(skc6)
| ~ cc1(skc6) ),
inference(spt,[spt(split,[position(s2)])],[22]),
[iquote('1:Spt:27.0,22.1,22.2')] ).
cnf(30,plain,
( cc2(skc6)
| cc1(skc6) ),
inference(mrr,[status(thm)],[21,28]),
[iquote('1:MRR:21.0,28.0')] ).
cnf(31,plain,
cc2(skc6),
inference(spt,[spt(split,[position(s2s1)])],[30]),
[iquote('2:Spt:30.0')] ).
cnf(32,plain,
~ cc1(skc6),
inference(mrr,[status(thm)],[29,31]),
[iquote('2:MRR:29.0,31.0')] ).
cnf(34,plain,
( ~ cc1(u)
| cc2(u)
| rp(u,skf10(u)) ),
inference(res,[status(thm),theory(equality)],[7,12]),
[iquote('0:Res:7.1,12.0')] ).
cnf(38,plain,
( ~ cc1(u)
| cc2(u)
| rp(u,skf11(u)) ),
inference(res,[status(thm),theory(equality)],[7,11]),
[iquote('0:Res:7.1,11.0')] ).
cnf(41,plain,
( ~ cc2(u)
| cc1(u)
| rp(u,skf7(u)) ),
inference(res,[status(thm),theory(equality)],[8,10]),
[iquote('0:Res:8.1,10.0')] ).
cnf(53,plain,
( ~ cc2(u)
| cc1(u)
| rp(u,skf8(u)) ),
inference(res,[status(thm),theory(equality)],[8,9]),
[iquote('0:Res:8.1,9.0')] ).
cnf(66,plain,
( ~ cc1(u)
| ~ equal(skf11(u),skf10(u))
| cc2(u) ),
inference(res,[status(thm),theory(equality)],[7,15]),
[iquote('0:Res:7.1,15.0')] ).
cnf(73,plain,
( ~ cc2(u)
| ~ equal(skf8(u),skf7(u))
| cc1(u) ),
inference(res,[status(thm),theory(equality)],[8,14]),
[iquote('0:Res:8.1,14.0')] ).
cnf(81,plain,
( ~ cc2(u)
| ~ cc2(u)
| ~ rp(u,v)
| equal(skf9(u),v) ),
inference(res,[status(thm),theory(equality)],[8,18]),
[iquote('0:Res:8.1,18.1')] ).
cnf(87,plain,
( ~ cc2(u)
| ~ rp(u,v)
| equal(skf9(u),v) ),
inference(obv,[status(thm),theory(equality)],[81]),
[iquote('0:Obv:81.0')] ).
cnf(91,plain,
( ~ cc1(u)
| ~ cc1(u)
| ~ rp(u,v)
| equal(skf6(u),v) ),
inference(res,[status(thm),theory(equality)],[7,17]),
[iquote('0:Res:7.1,17.1')] ).
cnf(96,plain,
( ~ cc1(u)
| ~ rp(u,v)
| equal(skf6(u),v) ),
inference(obv,[status(thm),theory(equality)],[91]),
[iquote('0:Obv:91.0')] ).
cnf(103,plain,
( ~ cc2(u)
| ~ cc2(u)
| cc1(u)
| equal(skf9(u),skf7(u)) ),
inference(res,[status(thm),theory(equality)],[41,87]),
[iquote('0:Res:41.2,87.1')] ).
cnf(104,plain,
( ~ cc2(u)
| ~ cc2(u)
| cc1(u)
| equal(skf9(u),skf8(u)) ),
inference(res,[status(thm),theory(equality)],[53,87]),
[iquote('0:Res:53.2,87.1')] ).
cnf(105,plain,
( ~ cc2(u)
| cc1(u)
| equal(skf9(u),skf7(u)) ),
inference(obv,[status(thm),theory(equality)],[103]),
[iquote('0:Obv:103.0')] ).
cnf(106,plain,
( ~ cc2(u)
| cc1(u)
| equal(skf9(u),skf8(u)) ),
inference(obv,[status(thm),theory(equality)],[104]),
[iquote('0:Obv:104.0')] ).
cnf(107,plain,
( ~ cc2(u)
| cc1(u)
| equal(skf8(u),skf7(u)) ),
inference(rew,[status(thm),theory(equality)],[105,106]),
[iquote('0:Rew:105.2,106.2')] ).
cnf(108,plain,
( ~ cc2(u)
| cc1(u) ),
inference(mrr,[status(thm)],[107,73]),
[iquote('0:MRR:107.2,73.1')] ).
cnf(112,plain,
~ cc2(skc6),
inference(res,[status(thm),theory(equality)],[108,32]),
[iquote('2:Res:108.1,32.0')] ).
cnf(113,plain,
$false,
inference(ssi,[status(thm)],[112,31]),
[iquote('2:SSi:112.0,31.0')] ).
cnf(114,plain,
~ cc2(skc6),
inference(spt,[spt(split,[position(s2sa)])],[113,31]),
[iquote('2:Spt:113.0,30.0,31.0')] ).
cnf(115,plain,
cc1(skc6),
inference(spt,[spt(split,[position(s2s2)])],[30]),
[iquote('2:Spt:113.0,30.1')] ).
cnf(127,plain,
( ~ cc1(u)
| ~ cc1(u)
| cc2(u)
| equal(skf10(u),skf6(u)) ),
inference(res,[status(thm),theory(equality)],[34,96]),
[iquote('0:Res:34.2,96.1')] ).
cnf(128,plain,
( ~ cc1(u)
| ~ cc1(u)
| cc2(u)
| equal(skf11(u),skf6(u)) ),
inference(res,[status(thm),theory(equality)],[38,96]),
[iquote('0:Res:38.2,96.1')] ).
cnf(129,plain,
( ~ cc1(u)
| cc2(u)
| equal(skf10(u),skf6(u)) ),
inference(obv,[status(thm),theory(equality)],[127]),
[iquote('0:Obv:127.0')] ).
cnf(131,plain,
( ~ cc1(u)
| ~ equal(skf11(u),skf6(u))
| cc2(u) ),
inference(rew,[status(thm),theory(equality)],[129,66]),
[iquote('0:Rew:129.2,66.1')] ).
cnf(133,plain,
( ~ cc1(u)
| cc2(u)
| equal(skf11(u),skf6(u)) ),
inference(obv,[status(thm),theory(equality)],[128]),
[iquote('0:Obv:128.0')] ).
cnf(134,plain,
( ~ cc1(u)
| cc2(u) ),
inference(mrr,[status(thm)],[133,131]),
[iquote('0:MRR:133.2,131.1')] ).
cnf(135,plain,
~ cc1(skc6),
inference(res,[status(thm),theory(equality)],[134,114]),
[iquote('2:Res:134.1,114.0')] ).
cnf(136,plain,
$false,
inference(ssi,[status(thm)],[135,115]),
[iquote('2:SSi:135.0,115.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS167+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n022.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 07:12:35 EDT 2022
% 0.12/0.34 % 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 81 clauses, backtracked 8 clauses, performed 2 splits and kept 52 clauses.
% 0.19/0.45 SPASS allocated 97956 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.45 0:00:00.04 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 0:00:00.00 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 3, length 59 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.45 Formulae used in the proof : axiom_0 axiom_1 the_axiom axiom_2 axiom_3
% 0.19/0.45
%------------------------------------------------------------------------------