%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS165+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 03:30:45 EDT 2022
% Result : Theorem 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of clauses : 33 ( 17 unt; 7 nHn; 33 RR)
% Number of literals : 59 ( 0 equ; 29 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
cowlThing(u),
file('KRS165+1.p',unknown),
[] ).
cnf(2,axiom,
( skC1
| cAutomobile(skc9) ),
file('KRS165+1.p',unknown),
[] ).
cnf(3,axiom,
~ cowlNothing(u),
file('KRS165+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ cCar(skc9)
| skC1 ),
file('KRS165+1.p',unknown),
[] ).
cnf(5,axiom,
( xsd_string(u)
| xsd_integer(u) ),
file('KRS165+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ cCar(u)
| cAutomobile(u) ),
file('KRS165+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ cAutomobile(u)
| cCar(u) ),
file('KRS165+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ xsd_integer(skc8)
| xsd_string(skc8)
| skC0 ),
file('KRS165+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ xsd_string(skc8)
| xsd_integer(skc8)
| skC0 ),
file('KRS165+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ xsd_integer(u)
| ~ xsd_string(u) ),
file('KRS165+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ cowlThing(skc5)
| ~ skC0
| ~ skC1
| cCar(skc7)
| cowlNothing(skc6) ),
file('KRS165+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ cAutomobile(skc7)
| ~ cowlThing(skc5)
| ~ skC0
| ~ skC1
| cowlNothing(skc6) ),
file('KRS165+1.p',unknown),
[] ).
cnf(13,plain,
( skC0
| xsd_integer(skc8) ),
inference(mrr,[status(thm)],[9,5]),
[iquote('0:MRR:9.0,5.1')] ).
cnf(14,plain,
( skC0
| xsd_string(skc8) ),
inference(mrr,[status(thm)],[8,13]),
[iquote('0:MRR:8.0,13.0')] ).
cnf(15,plain,
( ~ skC1
| ~ skC0
| cCar(skc7) ),
inference(mrr,[status(thm)],[11,1,3]),
[iquote('0:MRR:11.0,11.4,1.0,3.0')] ).
cnf(16,plain,
( ~ skC1
| ~ skC0
| ~ cAutomobile(skc7) ),
inference(mrr,[status(thm)],[12,1,3]),
[iquote('0:MRR:12.1,12.4,1.0,3.0')] ).
cnf(26,plain,
~ skC1,
inference(spt,[spt(split,[position(s1)])],[15]),
[iquote('1:Spt:15.0')] ).
cnf(27,plain,
cAutomobile(skc9),
inference(mrr,[status(thm)],[2,26]),
[iquote('1:MRR:2.0,26.0')] ).
cnf(28,plain,
~ cCar(skc9),
inference(mrr,[status(thm)],[4,26]),
[iquote('1:MRR:4.1,26.0')] ).
cnf(30,plain,
~ cAutomobile(skc9),
inference(res,[status(thm),theory(equality)],[7,28]),
[iquote('1:Res:7.1,28.0')] ).
cnf(31,plain,
$false,
inference(ssi,[status(thm)],[30,27]),
[iquote('1:SSi:30.0,27.0')] ).
cnf(32,plain,
skC1,
inference(spt,[spt(split,[position(sa)])],[31,26]),
[iquote('1:Spt:31.0,15.0,26.0')] ).
cnf(33,plain,
( ~ skC0
| cCar(skc7) ),
inference(spt,[spt(split,[position(s2)])],[15]),
[iquote('1:Spt:31.0,15.1,15.2')] ).
cnf(34,plain,
( ~ skC0
| ~ cAutomobile(skc7) ),
inference(mrr,[status(thm)],[16,32]),
[iquote('1:MRR:16.0,32.0')] ).
cnf(35,plain,
skC0,
inference(spt,[spt(split,[position(s2s1)])],[14]),
[iquote('2:Spt:14.0')] ).
cnf(36,plain,
cCar(skc7),
inference(mrr,[status(thm)],[33,35]),
[iquote('2:MRR:33.0,35.0')] ).
cnf(37,plain,
~ cAutomobile(skc7),
inference(mrr,[status(thm)],[34,35]),
[iquote('2:MRR:34.0,35.0')] ).
cnf(38,plain,
~ cCar(skc7),
inference(res,[status(thm),theory(equality)],[6,37]),
[iquote('2:Res:6.1,37.0')] ).
cnf(39,plain,
$false,
inference(ssi,[status(thm)],[38,36]),
[iquote('2:SSi:38.0,36.0')] ).
cnf(40,plain,
~ skC0,
inference(spt,[spt(split,[position(s2sa)])],[39,35]),
[iquote('2:Spt:39.0,14.0,35.0')] ).
cnf(41,plain,
xsd_string(skc8),
inference(spt,[spt(split,[position(s2s2)])],[14]),
[iquote('2:Spt:39.0,14.1')] ).
cnf(42,plain,
xsd_integer(skc8),
inference(mrr,[status(thm)],[13,40]),
[iquote('2:MRR:13.0,40.0')] ).
cnf(43,plain,
$false,
inference(ems,[status(thm)],[10,42,41]),
[iquote('2:EmS:10.0,10.1,42.0,41.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : KRS165+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.11/0.33 % Computer : n023.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 19:51:38 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.19/0.43
% 0.19/0.43 SPASS V 3.9
% 0.19/0.43 SPASS beiseite: Proof found.
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43 SPASS derived 11 clauses, backtracked 12 clauses, performed 3 splits and kept 29 clauses.
% 0.19/0.43 SPASS allocated 97865 KBytes.
% 0.19/0.43 SPASS spent 0:00:00.09 on the problem.
% 0.19/0.43 0:00:00.03 for the input.
% 0.19/0.43 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.43 0:00:00.00 for inferences.
% 0.19/0.43 0:00:00.00 for the backtracking.
% 0.19/0.43 0:00:00.00 for the reduction.
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Here is a proof with depth 2, length 33 :
% 0.19/0.43 % SZS output start Refutation
% See solution above
% 0.19/0.43 Formulae used in the proof : axiom_0 the_axiom axiom_1 axiom_2
% 0.19/0.43
%------------------------------------------------------------------------------