%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS132+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 03:30:39 EDT 2022
% Result : Theorem 0.19s 0.44s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 26
% Syntax : Number of clauses : 66 ( 19 unt; 15 nHn; 66 RR)
% Number of literals : 137 ( 0 equ; 72 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 2 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
cowlThing(u),
file('KRS132+1.p',unknown),
[] ).
cnf(2,axiom,
~ cowlNothing(u),
file('KRS132+1.p',unknown),
[] ).
cnf(6,axiom,
( xsd_string(u)
| xsd_integer(u) ),
file('KRS132+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ cnotAorB(u)
| cnotB(u) ),
file('KRS132+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ cnotAorB(u)
| cnotA(u) ),
file('KRS132+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ xsd_integer(skc7)
| xsd_string(skc7)
| skC0 ),
file('KRS132+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ xsd_string(skc7)
| xsd_integer(skc7)
| skC0 ),
file('KRS132+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ xsd_integer(u)
| ~ xsd_string(u) ),
file('KRS132+1.p',unknown),
[] ).
cnf(15,axiom,
( cnotA(u)
| rq(u,skf11(u)) ),
file('KRS132+1.p',unknown),
[] ).
cnf(16,axiom,
( cnotAorB(u)
| rs(u,skf12(u)) ),
file('KRS132+1.p',unknown),
[] ).
cnf(17,axiom,
( cnotB(u)
| rr(u,skf13(u)) ),
file('KRS132+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ cA(u)
| rq(u,skf7(u)) ),
file('KRS132+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ cAorB(u)
| rs(u,skf8(u)) ),
file('KRS132+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ cB(u)
| rr(u,skf9(u)) ),
file('KRS132+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ cNothing(u)
| rp(u,skf10(u)) ),
file('KRS132+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ cNothing(u)
| ~ rp(u,v) ),
file('KRS132+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ cnotA(u)
| ~ cnotB(u)
| cnotAorB(u) ),
file('KRS132+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ cowlThing(u)
| ~ rq(v,u)
| cA(v) ),
file('KRS132+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ cowlThing(u)
| ~ rs(v,u)
| cAorB(v) ),
file('KRS132+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ cowlThing(u)
| ~ rr(v,u)
| cB(v) ),
file('KRS132+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ cnotA(u)
| ~ rq(u,v)
| cNothing(v) ),
file('KRS132+1.p',unknown),
[] ).
cnf(28,axiom,
( ~ cnotAorB(u)
| ~ rs(u,v)
| cNothing(v) ),
file('KRS132+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ cnotB(u)
| ~ rr(u,v)
| cNothing(v) ),
file('KRS132+1.p',unknown),
[] ).
cnf(30,axiom,
( ~ cowlThing(skc4)
| ~ skC0
| cAorB(skc6)
| cB(skc6)
| cA(skc6)
| cowlNothing(skc5) ),
file('KRS132+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ cB(skc6)
| ~ cAorB(skc6)
| ~ cowlThing(skc4)
| ~ skC0
| cowlNothing(skc5) ),
file('KRS132+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ cA(skc6)
| ~ cAorB(skc6)
| ~ cowlThing(skc4)
| ~ skC0
| cowlNothing(skc5) ),
file('KRS132+1.p',unknown),
[] ).
cnf(33,plain,
( skC0
| xsd_integer(skc7) ),
inference(mrr,[status(thm)],[13,6]),
[iquote('0:MRR:13.0,6.1')] ).
cnf(34,plain,
( skC0
| xsd_string(skc7) ),
inference(mrr,[status(thm)],[12,33]),
[iquote('0:MRR:12.0,33.0')] ).
cnf(35,plain,
~ cNothing(u),
inference(mrr,[status(thm)],[21,22]),
[iquote('0:MRR:21.1,22.1')] ).
cnf(36,plain,
( ~ cnotB(u)
| ~ rr(u,v) ),
inference(mrr,[status(thm)],[29,35]),
[iquote('0:MRR:29.2,35.0')] ).
cnf(37,plain,
( ~ cnotAorB(u)
| ~ rs(u,v) ),
inference(mrr,[status(thm)],[28,35]),
[iquote('0:MRR:28.2,35.0')] ).
cnf(38,plain,
( ~ cnotA(u)
| ~ rq(u,v) ),
inference(mrr,[status(thm)],[27,35]),
[iquote('0:MRR:27.2,35.0')] ).
cnf(39,plain,
( ~ rr(u,v)
| cB(u) ),
inference(mrr,[status(thm)],[26,1]),
[iquote('0:MRR:26.0,1.0')] ).
cnf(40,plain,
( ~ rs(u,v)
| cAorB(u) ),
inference(mrr,[status(thm)],[25,1]),
[iquote('0:MRR:25.0,1.0')] ).
cnf(41,plain,
( ~ rq(u,v)
| cA(u) ),
inference(mrr,[status(thm)],[24,1]),
[iquote('0:MRR:24.0,1.0')] ).
cnf(42,plain,
( ~ skC0
| ~ cAorB(skc6)
| ~ cA(skc6) ),
inference(mrr,[status(thm)],[32,1,2]),
[iquote('0:MRR:32.2,32.4,1.0,2.0')] ).
cnf(43,plain,
( ~ skC0
| ~ cAorB(skc6)
| ~ cB(skc6) ),
inference(mrr,[status(thm)],[31,1,2]),
[iquote('0:MRR:31.2,31.4,1.0,2.0')] ).
cnf(44,plain,
( ~ skC0
| cA(skc6)
| cB(skc6)
| cAorB(skc6) ),
inference(mrr,[status(thm)],[30,1,2]),
[iquote('0:MRR:30.0,30.5,1.0,2.0')] ).
cnf(62,plain,
~ skC0,
inference(spt,[spt(split,[position(s1)])],[42]),
[iquote('1:Spt:42.0')] ).
cnf(63,plain,
xsd_integer(skc7),
inference(mrr,[status(thm)],[33,62]),
[iquote('1:MRR:33.0,62.0')] ).
cnf(64,plain,
xsd_string(skc7),
inference(mrr,[status(thm)],[34,62]),
[iquote('1:MRR:34.0,62.0')] ).
cnf(66,plain,
$false,
inference(ems,[status(thm)],[14,63,64]),
[iquote('1:EmS:14.0,14.1,63.0,64.0')] ).
cnf(67,plain,
skC0,
inference(spt,[spt(split,[position(sa)])],[66,62]),
[iquote('1:Spt:66.0,42.0,62.0')] ).
cnf(68,plain,
( ~ cAorB(skc6)
| ~ cA(skc6) ),
inference(spt,[spt(split,[position(s2)])],[42]),
[iquote('1:Spt:66.0,42.1,42.2')] ).
cnf(69,plain,
( ~ cAorB(skc6)
| ~ cB(skc6) ),
inference(mrr,[status(thm)],[43,67]),
[iquote('1:MRR:43.0,67.0')] ).
cnf(70,plain,
( cA(skc6)
| cB(skc6)
| cAorB(skc6) ),
inference(mrr,[status(thm)],[44,67]),
[iquote('1:MRR:44.0,67.0')] ).
cnf(71,plain,
~ cAorB(skc6),
inference(spt,[spt(split,[position(s2s1)])],[69]),
[iquote('2:Spt:69.0')] ).
cnf(72,plain,
( cA(skc6)
| cB(skc6) ),
inference(mrr,[status(thm)],[70,71]),
[iquote('2:MRR:70.2,71.0')] ).
cnf(73,plain,
( cnotB(u)
| cB(u) ),
inference(res,[status(thm),theory(equality)],[17,39]),
[iquote('0:Res:17.1,39.0')] ).
cnf(74,plain,
( cnotA(u)
| cA(u) ),
inference(res,[status(thm),theory(equality)],[15,41]),
[iquote('0:Res:15.1,41.0')] ).
cnf(75,plain,
( cnotAorB(u)
| cAorB(u) ),
inference(res,[status(thm),theory(equality)],[16,40]),
[iquote('0:Res:16.1,40.0')] ).
cnf(76,plain,
cnotAorB(skc6),
inference(res,[status(thm),theory(equality)],[75,71]),
[iquote('2:Res:75.1,71.0')] ).
cnf(81,plain,
( ~ cB(u)
| ~ cnotB(u) ),
inference(res,[status(thm),theory(equality)],[20,36]),
[iquote('0:Res:20.1,36.1')] ).
cnf(83,plain,
( ~ cA(u)
| ~ cnotA(u) ),
inference(res,[status(thm),theory(equality)],[18,38]),
[iquote('0:Res:18.1,38.1')] ).
cnf(86,plain,
( ~ cnotAorB(skc6)
| cB(skc6) ),
inference(ems,[status(thm)],[83,72,11]),
[iquote('2:EmS:83.0,83.1,72.0,11.1')] ).
cnf(87,plain,
cB(skc6),
inference(ssi,[status(thm)],[86,76]),
[iquote('2:SSi:86.0,76.0')] ).
cnf(88,plain,
~ cnotAorB(skc6),
inference(ems,[status(thm)],[81,87,10]),
[iquote('2:EmS:81.0,81.1,87.0,10.1')] ).
cnf(89,plain,
$false,
inference(ssi,[status(thm)],[88,76,87]),
[iquote('2:SSi:88.0,76.0,87.0')] ).
cnf(90,plain,
cAorB(skc6),
inference(spt,[spt(split,[position(s2sa)])],[89,71]),
[iquote('2:Spt:89.0,69.0,71.0')] ).
cnf(91,plain,
~ cB(skc6),
inference(spt,[spt(split,[position(s2s2)])],[69]),
[iquote('2:Spt:89.0,69.1')] ).
cnf(92,plain,
~ cA(skc6),
inference(mrr,[status(thm)],[68,90]),
[iquote('2:MRR:68.0,90.0')] ).
cnf(93,plain,
cnotB(skc6),
inference(res,[status(thm),theory(equality)],[73,91]),
[iquote('2:Res:73.1,91.0')] ).
cnf(95,plain,
( ~ cAorB(u)
| ~ cnotAorB(u) ),
inference(res,[status(thm),theory(equality)],[19,37]),
[iquote('0:Res:19.1,37.1')] ).
cnf(97,plain,
cnotA(skc6),
inference(res,[status(thm),theory(equality)],[74,92]),
[iquote('2:Res:74.1,92.0')] ).
cnf(99,plain,
( ~ cnotB(skc6)
| ~ cnotA(skc6) ),
inference(ems,[status(thm)],[95,90,23]),
[iquote('2:EmS:95.0,95.1,90.0,23.2')] ).
cnf(101,plain,
$false,
inference(ssi,[status(thm)],[99,90,93,97]),
[iquote('2:SSi:99.1,99.0,90.0,93.0,97.0,90.0,93.0,97.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS132+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n017.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 13:05:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44
% 0.19/0.44 SPASS V 3.9
% 0.19/0.44 SPASS beiseite: Proof found.
% 0.19/0.44 % SZS status Theorem
% 0.19/0.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 SPASS derived 30 clauses, backtracked 10 clauses, performed 2 splits and kept 53 clauses.
% 0.19/0.44 SPASS allocated 98049 KBytes.
% 0.19/0.44 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.44 0:00:00.04 for the input.
% 0.19/0.44 0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.44 0:00:00.00 for inferences.
% 0.19/0.44 0:00:00.00 for the backtracking.
% 0.19/0.44 0:00:00.00 for the reduction.
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 Here is a proof with depth 3, length 66 :
% 0.19/0.44 % SZS output start Refutation
% See solution above
% 0.19/0.44 Formulae used in the proof : axiom_0 axiom_1 axiom_9 the_axiom axiom_7 axiom_5 axiom_6 axiom_8 axiom_10 axiom_2 axiom_3 axiom_4
% 0.19/0.44
%------------------------------------------------------------------------------