TSTP Solution File: KRS172+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS172+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 03:30:47 EDT 2022
% Result : Theorem 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of clauses : 43 ( 21 unt; 8 nHn; 43 RR)
% Number of literals : 78 ( 0 equ; 37 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
cowlThing(u),
file('KRS172+1.p',unknown),
[] ).
cnf(3,axiom,
~ cowlNothing(u),
file('KRS172+1.p',unknown),
[] ).
cnf(4,axiom,
( xsd_string(u)
| xsd_integer(u) ),
file('KRS172+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ xsd_integer(skc9)
| xsd_string(skc9)
| skC0 ),
file('KRS172+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ xsd_string(skc9)
| xsd_integer(skc9)
| skC0 ),
file('KRS172+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ xsd_integer(u)
| ~ xsd_string(u) ),
file('KRS172+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ cd(u)
| rq(u,iv) ),
file('KRS172+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ cd(u)
| rp(u,iv) ),
file('KRS172+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ rp(u,v)
| cd(u) ),
file('KRS172+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ rq(u,v)
| cd(u) ),
file('KRS172+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ rp(u,v)
| ~ rp(u,w)
| equal(w,v) ),
file('KRS172+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ rq(u,v)
| ~ rq(u,w)
| equal(w,v) ),
file('KRS172+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ cowlThing(skc5)
| ~ skC0
| rq(skc8,skc7)
| rp(skc8,skc7)
| cowlNothing(skc6) ),
file('KRS172+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ rq(skc8,skc7)
| ~ rp(skc8,skc7)
| ~ cowlThing(skc5)
| ~ skC0
| cowlNothing(skc6) ),
file('KRS172+1.p',unknown),
[] ).
cnf(18,plain,
( skC0
| xsd_integer(skc9) ),
inference(mrr,[status(thm)],[6,4]),
[iquote('0:MRR:6.0,4.1')] ).
cnf(19,plain,
( skC0
| xsd_string(skc9) ),
inference(mrr,[status(thm)],[5,18]),
[iquote('0:MRR:5.0,18.0')] ).
cnf(20,plain,
( ~ skC0
| rp(skc8,skc7)
| rq(skc8,skc7) ),
inference(mrr,[status(thm)],[16,1,3]),
[iquote('0:MRR:16.0,16.4,1.0,3.0')] ).
cnf(21,plain,
( ~ skC0
| ~ rp(skc8,skc7)
| ~ rq(skc8,skc7) ),
inference(mrr,[status(thm)],[17,1,3]),
[iquote('0:MRR:17.2,17.4,1.0,3.0')] ).
cnf(22,plain,
~ skC0,
inference(spt,[spt(split,[position(s1)])],[21]),
[iquote('1:Spt:21.0')] ).
cnf(23,plain,
xsd_integer(skc9),
inference(mrr,[status(thm)],[18,22]),
[iquote('1:MRR:18.0,22.0')] ).
cnf(24,plain,
xsd_string(skc9),
inference(mrr,[status(thm)],[19,22]),
[iquote('1:MRR:19.0,22.0')] ).
cnf(26,plain,
$false,
inference(ems,[status(thm)],[7,23,24]),
[iquote('1:EmS:7.0,7.1,23.0,24.0')] ).
cnf(27,plain,
skC0,
inference(spt,[spt(split,[position(sa)])],[26,22]),
[iquote('1:Spt:26.0,21.0,22.0')] ).
cnf(28,plain,
( ~ rp(skc8,skc7)
| ~ rq(skc8,skc7) ),
inference(spt,[spt(split,[position(s2)])],[21]),
[iquote('1:Spt:26.0,21.1,21.2')] ).
cnf(29,plain,
( rp(skc8,skc7)
| rq(skc8,skc7) ),
inference(mrr,[status(thm)],[20,27]),
[iquote('1:MRR:20.0,27.0')] ).
cnf(30,plain,
rp(skc8,skc7),
inference(spt,[spt(split,[position(s2s1)])],[29]),
[iquote('2:Spt:29.0')] ).
cnf(31,plain,
~ rq(skc8,skc7),
inference(mrr,[status(thm)],[28,30]),
[iquote('2:MRR:28.0,30.0')] ).
cnf(33,plain,
cd(skc8),
inference(res,[status(thm),theory(equality)],[30,12]),
[iquote('2:Res:30.0,12.0')] ).
cnf(35,plain,
( ~ cd(u)
| ~ rq(u,v)
| equal(v,iv) ),
inference(res,[status(thm),theory(equality)],[8,15]),
[iquote('0:Res:8.1,15.0')] ).
cnf(36,plain,
( ~ rq(u,v)
| equal(v,iv) ),
inference(mrr,[status(thm)],[35,13]),
[iquote('0:MRR:35.0,13.1')] ).
cnf(38,plain,
( ~ rp(skc8,u)
| equal(u,skc7) ),
inference(res,[status(thm),theory(equality)],[30,14]),
[iquote('2:Res:30.0,14.0')] ).
cnf(42,plain,
( ~ cd(skc8)
| equal(skc7,iv) ),
inference(res,[status(thm),theory(equality)],[10,38]),
[iquote('2:Res:10.1,38.0')] ).
cnf(43,plain,
equal(skc7,iv),
inference(ssi,[status(thm)],[42,33]),
[iquote('2:SSi:42.0,33.0')] ).
cnf(45,plain,
~ rq(skc8,iv),
inference(rew,[status(thm),theory(equality)],[43,31]),
[iquote('2:Rew:43.0,31.0')] ).
cnf(50,plain,
~ cd(skc8),
inference(res,[status(thm),theory(equality)],[8,45]),
[iquote('2:Res:8.1,45.0')] ).
cnf(51,plain,
$false,
inference(ssi,[status(thm)],[50,33]),
[iquote('2:SSi:50.0,33.0')] ).
cnf(52,plain,
~ rp(skc8,skc7),
inference(spt,[spt(split,[position(s2sa)])],[51,30]),
[iquote('2:Spt:51.0,29.0,30.0')] ).
cnf(53,plain,
rq(skc8,skc7),
inference(spt,[spt(split,[position(s2s2)])],[29]),
[iquote('2:Spt:51.0,29.1')] ).
cnf(54,plain,
equal(skc7,iv),
inference(res,[status(thm),theory(equality)],[53,36]),
[iquote('2:Res:53.0,36.0')] ).
cnf(56,plain,
cd(skc8),
inference(res,[status(thm),theory(equality)],[53,13]),
[iquote('2:Res:53.0,13.0')] ).
cnf(58,plain,
~ rp(skc8,iv),
inference(rew,[status(thm),theory(equality)],[54,52]),
[iquote('2:Rew:54.0,52.0')] ).
cnf(64,plain,
~ cd(skc8),
inference(res,[status(thm),theory(equality)],[10,58]),
[iquote('2:Res:10.1,58.0')] ).
cnf(65,plain,
$false,
inference(ssi,[status(thm)],[64,56]),
[iquote('2:SSi:64.0,56.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS172+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 7 08:46:51 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.44
% 0.20/0.44 SPASS V 3.9
% 0.20/0.44 SPASS beiseite: Proof found.
% 0.20/0.44 % SZS status Theorem
% 0.20/0.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44 SPASS derived 33 clauses, backtracked 8 clauses, performed 2 splits and kept 38 clauses.
% 0.20/0.44 SPASS allocated 97772 KBytes.
% 0.20/0.44 SPASS spent 0:00:00.09 on the problem.
% 0.20/0.44 0:00:00.04 for the input.
% 0.20/0.44 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.44 0:00:00.00 for inferences.
% 0.20/0.44 0:00:00.00 for the backtracking.
% 0.20/0.44 0:00:00.00 for the reduction.
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 Here is a proof with depth 3, length 43 :
% 0.20/0.44 % SZS output start Refutation
% See solution above
% 0.20/0.44 Formulae used in the proof : axiom_0 axiom_1 the_axiom axiom_2 axiom_3 axiom_5 axiom_7 axiom_4 axiom_6
% 0.20/0.44
%------------------------------------------------------------------------------