%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS164+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 0.44s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 7 unt; 3 nHn; 21 RR)
% Number of literals : 51 ( 0 equ; 29 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 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('KRS164+1.p',unknown),
[] ).
cnf(2,axiom,
cAutomobile(iauto),
file('KRS164+1.p',unknown),
[] ).
cnf(4,axiom,
cCar(icar),
file('KRS164+1.p',unknown),
[] ).
cnf(6,axiom,
~ cowlNothing(u),
file('KRS164+1.p',unknown),
[] ).
cnf(7,axiom,
( xsd_string(u)
| xsd_integer(u) ),
file('KRS164+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ cCar(u)
| cAutomobile(u) ),
file('KRS164+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ cAutomobile(u)
| cCar(u) ),
file('KRS164+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ xsd_integer(u)
| ~ xsd_string(u) ),
file('KRS164+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ xsd_string(skc5)
| ~ cowlThing(skc3)
| ~ cCar(iauto)
| ~ cowlThing(iauto)
| ~ cAutomobile(icar)
| ~ cowlThing(icar)
| xsd_integer(skc5)
| cowlNothing(skc4) ),
file('KRS164+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ xsd_integer(skc5)
| ~ cowlThing(skc3)
| ~ cCar(iauto)
| ~ cowlThing(iauto)
| ~ cAutomobile(icar)
| ~ cowlThing(icar)
| xsd_string(skc5)
| cowlNothing(skc4) ),
file('KRS164+1.p',unknown),
[] ).
cnf(13,plain,
( ~ cAutomobile(icar)
| ~ cCar(iauto)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[11,7,1,6]),
[iquote('0:MRR:11.0,11.1,11.3,11.5,11.7,7.1,1.0,1.0,1.0,6.0')] ).
cnf(14,plain,
( ~ cAutomobile(icar)
| ~ cCar(iauto)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[12,13,1,6]),
[iquote('0:MRR:12.0,12.1,12.3,12.5,12.7,13.2,1.0,1.0,1.0,6.0')] ).
cnf(24,plain,
( ~ cCar(icar)
| ~ cCar(iauto)
| xsd_integer(skc5) ),
inference(res,[status(thm),theory(equality)],[8,13]),
[iquote('0:Res:8.1,13.0')] ).
cnf(25,plain,
( ~ cCar(iauto)
| xsd_integer(skc5) ),
inference(ssi,[status(thm)],[24,4]),
[iquote('0:SSi:24.0,4.0')] ).
cnf(27,plain,
( ~ cCar(icar)
| ~ cCar(iauto)
| xsd_string(skc5) ),
inference(res,[status(thm),theory(equality)],[8,14]),
[iquote('0:Res:8.1,14.0')] ).
cnf(28,plain,
( ~ cCar(iauto)
| xsd_string(skc5) ),
inference(ssi,[status(thm)],[27,4]),
[iquote('0:SSi:27.0,4.0')] ).
cnf(29,plain,
( ~ cAutomobile(iauto)
| xsd_integer(skc5) ),
inference(res,[status(thm),theory(equality)],[9,25]),
[iquote('0:Res:9.1,25.0')] ).
cnf(30,plain,
xsd_integer(skc5),
inference(ssi,[status(thm)],[29,2]),
[iquote('0:SSi:29.0,2.0')] ).
cnf(33,plain,
( ~ cAutomobile(iauto)
| xsd_string(skc5) ),
inference(res,[status(thm),theory(equality)],[9,28]),
[iquote('0:Res:9.1,28.0')] ).
cnf(34,plain,
xsd_string(skc5),
inference(ssi,[status(thm)],[33,2]),
[iquote('0:SSi:33.0,2.0')] ).
cnf(35,plain,
$false,
inference(ems,[status(thm)],[10,30,34]),
[iquote('0:EmS:10.0,10.1,30.0,34.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS164+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 7 14:15:51 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 9 clauses, backtracked 0 clauses, performed 0 splits and kept 17 clauses.
% 0.19/0.44 SPASS allocated 97878 KBytes.
% 0.19/0.44 SPASS spent 0:00:00.09 on the problem.
% 0.19/0.44 0:00:00.04 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 3, length 21 :
% 0.19/0.44 % SZS output start Refutation
% See solution above
% 0.19/0.44 Formulae used in the proof : axiom_0 axiom_3 axiom_5 axiom_1 axiom_2 the_axiom
% 0.19/0.44
%------------------------------------------------------------------------------