TSTP Solution File: KRS131+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS131+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 0.17s 0.43s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of clauses : 37 ( 15 unt; 9 nHn; 37 RR)
% Number of literals : 71 ( 0 equ; 34 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
cowlThing(u),
file('KRS131+1.p',unknown),
[] ).
cnf(2,axiom,
~ cowlNothing(u),
file('KRS131+1.p',unknown),
[] ).
cnf(4,axiom,
( xsd_string(u)
| xsd_integer(u) ),
file('KRS131+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ xsd_integer(skc7)
| xsd_string(skc7)
| skC0 ),
file('KRS131+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ xsd_string(skc7)
| xsd_integer(skc7)
| skC0 ),
file('KRS131+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ xsd_integer(u)
| ~ xsd_string(u) ),
file('KRS131+1.p',unknown),
[] ).
cnf(9,axiom,
( cnotA(u)
| rq(u,skf5(u)) ),
file('KRS131+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ cA(u)
| rq(u,skf3(u)) ),
file('KRS131+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ cNothing(u)
| ~ rp(u,v) ),
file('KRS131+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ cNothing(u)
| rp(u,skf4(u)) ),
file('KRS131+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ cowlThing(u)
| ~ rq(v,u)
| cA(v) ),
file('KRS131+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ cnotA(u)
| ~ rq(u,v)
| cNothing(v) ),
file('KRS131+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ cA(skc6)
| ~ cowlThing(skc4)
| ~ skC0
| cnotA(skc6)
| cowlNothing(skc5) ),
file('KRS131+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ cnotA(skc6)
| ~ cowlThing(skc4)
| ~ skC0
| cA(skc6)
| cowlNothing(skc5) ),
file('KRS131+1.p',unknown),
[] ).
cnf(17,plain,
( skC0
| xsd_integer(skc7) ),
inference(mrr,[status(thm)],[7,4]),
[iquote('0:MRR:7.0,4.1')] ).
cnf(18,plain,
( skC0
| xsd_string(skc7) ),
inference(mrr,[status(thm)],[6,17]),
[iquote('0:MRR:6.0,17.0')] ).
cnf(19,plain,
~ cNothing(u),
inference(mrr,[status(thm)],[12,11]),
[iquote('0:MRR:12.1,11.1')] ).
cnf(20,plain,
( ~ cnotA(u)
| ~ rq(u,v) ),
inference(mrr,[status(thm)],[14,19]),
[iquote('0:MRR:14.2,19.0')] ).
cnf(21,plain,
( ~ rq(u,v)
| cA(u) ),
inference(mrr,[status(thm)],[13,1]),
[iquote('0:MRR:13.0,1.0')] ).
cnf(22,plain,
( ~ skC0
| ~ cnotA(skc6)
| cA(skc6) ),
inference(mrr,[status(thm)],[16,1,2]),
[iquote('0:MRR:16.1,16.4,1.0,2.0')] ).
cnf(23,plain,
( ~ skC0
| ~ cA(skc6)
| cnotA(skc6) ),
inference(mrr,[status(thm)],[15,1,2]),
[iquote('0:MRR:15.1,15.4,1.0,2.0')] ).
cnf(33,plain,
~ skC0,
inference(spt,[spt(split,[position(s1)])],[22]),
[iquote('1:Spt:22.0')] ).
cnf(34,plain,
xsd_integer(skc7),
inference(mrr,[status(thm)],[17,33]),
[iquote('1:MRR:17.0,33.0')] ).
cnf(35,plain,
xsd_string(skc7),
inference(mrr,[status(thm)],[18,33]),
[iquote('1:MRR:18.0,33.0')] ).
cnf(37,plain,
$false,
inference(ems,[status(thm)],[8,34,35]),
[iquote('1:EmS:8.0,8.1,34.0,35.0')] ).
cnf(38,plain,
skC0,
inference(spt,[spt(split,[position(sa)])],[37,33]),
[iquote('1:Spt:37.0,22.0,33.0')] ).
cnf(39,plain,
( ~ cnotA(skc6)
| cA(skc6) ),
inference(spt,[spt(split,[position(s2)])],[22]),
[iquote('1:Spt:37.0,22.1,22.2')] ).
cnf(40,plain,
( ~ cA(skc6)
| cnotA(skc6) ),
inference(mrr,[status(thm)],[23,38]),
[iquote('1:MRR:23.0,38.0')] ).
cnf(41,plain,
~ cA(skc6),
inference(spt,[spt(split,[position(s2s1)])],[40]),
[iquote('2:Spt:40.0')] ).
cnf(42,plain,
~ cnotA(skc6),
inference(mrr,[status(thm)],[39,41]),
[iquote('2:MRR:39.1,41.0')] ).
cnf(43,plain,
( cnotA(u)
| cA(u) ),
inference(res,[status(thm),theory(equality)],[9,21]),
[iquote('0:Res:9.1,21.0')] ).
cnf(44,plain,
cA(skc6),
inference(res,[status(thm),theory(equality)],[43,42]),
[iquote('2:Res:43.0,42.0')] ).
cnf(45,plain,
$false,
inference(mrr,[status(thm)],[44,41]),
[iquote('2:MRR:44.0,41.0')] ).
cnf(46,plain,
cA(skc6),
inference(spt,[spt(split,[position(s2sa)])],[45,41]),
[iquote('2:Spt:45.0,40.0,41.0')] ).
cnf(47,plain,
cnotA(skc6),
inference(spt,[spt(split,[position(s2s2)])],[40]),
[iquote('2:Spt:45.0,40.1')] ).
cnf(50,plain,
( ~ cA(u)
| ~ cnotA(u) ),
inference(res,[status(thm),theory(equality)],[10,20]),
[iquote('0:Res:10.1,20.1')] ).
cnf(51,plain,
$false,
inference(ems,[status(thm)],[50,46,47]),
[iquote('2:EmS:50.0,50.1,46.0,47.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS131+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.32 % Computer : n017.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Tue Jun 7 11:58:02 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.43
% 0.17/0.43 SPASS V 3.9
% 0.17/0.43 SPASS beiseite: Proof found.
% 0.17/0.43 % SZS status Theorem
% 0.17/0.43 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 SPASS derived 15 clauses, backtracked 8 clauses, performed 2 splits and kept 29 clauses.
% 0.17/0.43 SPASS allocated 97837 KBytes.
% 0.17/0.43 SPASS spent 0:00:00.10 on the problem.
% 0.17/0.43 0:00:00.04 for the input.
% 0.17/0.43 0:00:00.03 for the FLOTTER CNF translation.
% 0.17/0.43 0:00:00.00 for inferences.
% 0.17/0.43 0:00:00.00 for the backtracking.
% 0.17/0.43 0:00:00.00 for the reduction.
% 0.17/0.43
% 0.17/0.43
% 0.17/0.43 Here is a proof with depth 2, length 37 :
% 0.17/0.43 % SZS output start Refutation
% See solution above
% 0.17/0.43 Formulae used in the proof : axiom_0 axiom_1 the_axiom axiom_5 axiom_4 axiom_3 axiom_2
% 0.17/0.43
%------------------------------------------------------------------------------