%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS142+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 03:30:41 EDT 2022
% Result : Theorem 0.19s 0.44s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of clauses : 43 ( 19 unt; 9 nHn; 43 RR)
% Number of literals : 88 ( 0 equ; 45 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
cowlThing(u),
file('KRS142+1.p',unknown),
[] ).
cnf(2,axiom,
( skC1
| cc(skc13) ),
file('KRS142+1.p',unknown),
[] ).
cnf(3,axiom,
~ cowlNothing(u),
file('KRS142+1.p',unknown),
[] ).
cnf(4,axiom,
( xsd_string(u)
| xsd_integer(u) ),
file('KRS142+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ rp(skc13,u)
| skC1 ),
file('KRS142+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ xsd_integer(skc12)
| xsd_string(skc12)
| skC0 ),
file('KRS142+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ xsd_string(skc12)
| xsd_integer(skc12)
| skC0 ),
file('KRS142+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ xsd_integer(u)
| ~ xsd_string(u) ),
file('KRS142+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ cc(u)
| rp(u,skf2(u)) ),
file('KRS142+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ cowlThing(skc7)
| ~ skC0
| ~ skC1
| cc(skc9)
| cowlNothing(skc8) ),
file('KRS142+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ cowlThing(skc7)
| ~ skC0
| ~ skC1
| rp(skc9,skc11)
| cowlNothing(skc8) ),
file('KRS142+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ cowlThing(skc7)
| ~ skC0
| ~ skC1
| rp(skc9,skc10)
| cowlNothing(skc8) ),
file('KRS142+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ equal(skc11,skc10)
| ~ cowlThing(skc7)
| ~ skC0
| ~ skC1
| cowlNothing(skc8) ),
file('KRS142+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ cc(u)
| ~ rp(u,v)
| ~ rp(u,w)
| equal(v,w) ),
file('KRS142+1.p',unknown),
[] ).
cnf(15,plain,
( skC0
| xsd_integer(skc12) ),
inference(mrr,[status(thm)],[7,4]),
[iquote('0:MRR:7.0,4.1')] ).
cnf(16,plain,
( skC0
| xsd_string(skc12) ),
inference(mrr,[status(thm)],[6,15]),
[iquote('0:MRR:6.0,15.0')] ).
cnf(17,plain,
( ~ skC1
| ~ skC0
| cc(skc9) ),
inference(mrr,[status(thm)],[10,1,3]),
[iquote('0:MRR:10.0,10.4,1.0,3.0')] ).
cnf(18,plain,
( ~ skC1
| ~ skC0
| rp(skc9,skc10) ),
inference(mrr,[status(thm)],[12,1,3]),
[iquote('0:MRR:12.0,12.4,1.0,3.0')] ).
cnf(19,plain,
( ~ skC1
| ~ skC0
| rp(skc9,skc11) ),
inference(mrr,[status(thm)],[11,1,3]),
[iquote('0:MRR:11.0,11.4,1.0,3.0')] ).
cnf(20,plain,
( ~ skC1
| ~ skC0
| ~ equal(skc11,skc10) ),
inference(mrr,[status(thm)],[13,1,3]),
[iquote('0:MRR:13.1,13.4,1.0,3.0')] ).
cnf(21,plain,
~ skC1,
inference(spt,[spt(split,[position(s1)])],[17]),
[iquote('1:Spt:17.0')] ).
cnf(22,plain,
cc(skc13),
inference(mrr,[status(thm)],[2,21]),
[iquote('1:MRR:2.0,21.0')] ).
cnf(23,plain,
~ rp(skc13,u),
inference(mrr,[status(thm)],[5,21]),
[iquote('1:MRR:5.1,21.0')] ).
cnf(25,plain,
~ cc(skc13),
inference(res,[status(thm),theory(equality)],[9,23]),
[iquote('1:Res:9.1,23.0')] ).
cnf(26,plain,
$false,
inference(ssi,[status(thm)],[25,22]),
[iquote('1:SSi:25.0,22.0')] ).
cnf(27,plain,
skC1,
inference(spt,[spt(split,[position(sa)])],[26,21]),
[iquote('1:Spt:26.0,17.0,21.0')] ).
cnf(28,plain,
( ~ skC0
| cc(skc9) ),
inference(spt,[spt(split,[position(s2)])],[17]),
[iquote('1:Spt:26.0,17.1,17.2')] ).
cnf(29,plain,
( ~ skC0
| rp(skc9,skc10) ),
inference(mrr,[status(thm)],[18,27]),
[iquote('1:MRR:18.0,27.0')] ).
cnf(30,plain,
( ~ skC0
| rp(skc9,skc11) ),
inference(mrr,[status(thm)],[19,27]),
[iquote('1:MRR:19.0,27.0')] ).
cnf(31,plain,
( ~ skC0
| ~ equal(skc11,skc10) ),
inference(mrr,[status(thm)],[20,27]),
[iquote('1:MRR:20.0,27.0')] ).
cnf(32,plain,
skC0,
inference(spt,[spt(split,[position(s2s1)])],[16]),
[iquote('2:Spt:16.0')] ).
cnf(33,plain,
cc(skc9),
inference(mrr,[status(thm)],[28,32]),
[iquote('2:MRR:28.0,32.0')] ).
cnf(34,plain,
rp(skc9,skc10),
inference(mrr,[status(thm)],[29,32]),
[iquote('2:MRR:29.0,32.0')] ).
cnf(35,plain,
rp(skc9,skc11),
inference(mrr,[status(thm)],[30,32]),
[iquote('2:MRR:30.0,32.0')] ).
cnf(36,plain,
~ equal(skc11,skc10),
inference(mrr,[status(thm)],[31,32]),
[iquote('2:MRR:31.0,32.0')] ).
cnf(38,plain,
( ~ cc(skc9)
| ~ rp(skc9,u)
| equal(skc10,u) ),
inference(res,[status(thm),theory(equality)],[34,14]),
[iquote('2:Res:34.0,14.1')] ).
cnf(40,plain,
( ~ rp(skc9,u)
| equal(skc10,u) ),
inference(ssi,[status(thm)],[38,33]),
[iquote('2:SSi:38.0,33.0')] ).
cnf(45,plain,
equal(skc11,skc10),
inference(res,[status(thm),theory(equality)],[35,40]),
[iquote('2:Res:35.0,40.0')] ).
cnf(46,plain,
$false,
inference(mrr,[status(thm)],[45,36]),
[iquote('2:MRR:45.0,36.0')] ).
cnf(48,plain,
~ skC0,
inference(spt,[spt(split,[position(s2sa)])],[46,32]),
[iquote('2:Spt:46.0,16.0,32.0')] ).
cnf(49,plain,
xsd_string(skc12),
inference(spt,[spt(split,[position(s2s2)])],[16]),
[iquote('2:Spt:46.0,16.1')] ).
cnf(50,plain,
xsd_integer(skc12),
inference(mrr,[status(thm)],[15,48]),
[iquote('2:MRR:15.0,48.0')] ).
cnf(51,plain,
$false,
inference(ems,[status(thm)],[8,50,49]),
[iquote('2:EmS:8.0,8.1,50.0,49.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS142+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n020.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 06:53:21 EDT 2022
% 0.12/0.34 % 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/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 SPASS derived 18 clauses, backtracked 16 clauses, performed 3 splits and kept 39 clauses.
% 0.19/0.44 SPASS allocated 97807 KBytes.
% 0.19/0.44 SPASS spent 0:00:00.09 on the problem.
% 0.19/0.44 0:00:00.03 for the input.
% 0.19/0.44 0:00:00.03 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 2, length 43 :
% 0.19/0.44 % SZS output start Refutation
% See solution above
% 0.19/0.44 Formulae used in the proof : axiom_0 the_axiom axiom_1 axiom_2
% 0.19/0.44
%------------------------------------------------------------------------------