TSTP Solution File: KRS141+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS141+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 7 unt; 3 nHn; 16 RR)
% Number of literals : 34 ( 0 equ; 19 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
cowlThing(u),
file('KRS141+1.p',unknown),
[] ).
cnf(2,axiom,
cr(ii),
file('KRS141+1.p',unknown),
[] ).
cnf(5,axiom,
~ cowlNothing(u),
file('KRS141+1.p',unknown),
[] ).
cnf(6,axiom,
rp(ii,io),
file('KRS141+1.p',unknown),
[] ).
cnf(7,axiom,
( xsd_string(u)
| xsd_integer(u) ),
file('KRS141+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ xsd_integer(u)
| ~ xsd_string(u) ),
file('KRS141+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ cr(u)
| ~ rp(u,v)
| cc(v) ),
file('KRS141+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ xsd_integer(skc5)
| ~ cowlThing(skc3)
| ~ cc(io)
| ~ cowlThing(io)
| xsd_string(skc5)
| cowlNothing(skc4) ),
file('KRS141+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ xsd_string(skc5)
| ~ cowlThing(skc3)
| ~ cc(io)
| ~ cowlThing(io)
| xsd_integer(skc5)
| cowlNothing(skc4) ),
file('KRS141+1.p',unknown),
[] ).
cnf(12,plain,
( ~ cc(io)
| xsd_integer(skc5) ),
inference(mrr,[status(thm)],[11,7,1,5]),
[iquote('0:MRR:11.0,11.1,11.3,11.5,7.1,1.0,1.0,5.0')] ).
cnf(13,plain,
( ~ cc(io)
| xsd_string(skc5) ),
inference(mrr,[status(thm)],[10,12,1,5]),
[iquote('0:MRR:10.0,10.1,10.3,10.5,12.1,1.0,1.0,5.0')] ).
cnf(21,plain,
( ~ cc(io)
| ~ cc(io) ),
inference(ems,[status(thm)],[8,12,13]),
[iquote('0:EmS:8.0,8.1,12.1,13.1')] ).
cnf(23,plain,
~ cc(io),
inference(obv,[status(thm),theory(equality)],[21]),
[iquote('0:Obv:21.0')] ).
cnf(24,plain,
( ~ cr(ii)
| cc(io) ),
inference(res,[status(thm),theory(equality)],[6,9]),
[iquote('0:Res:6.0,9.1')] ).
cnf(25,plain,
cc(io),
inference(ssi,[status(thm)],[24,2]),
[iquote('0:SSi:24.0,2.0')] ).
cnf(26,plain,
$false,
inference(mrr,[status(thm)],[25,23]),
[iquote('0:MRR:25.0,23.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS141+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n019.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 13:41:25 EDT 2022
% 0.12/0.34 % 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/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 SPASS derived 3 clauses, backtracked 0 clauses, performed 0 splits and kept 13 clauses.
% 0.19/0.43 SPASS allocated 97757 KBytes.
% 0.19/0.43 SPASS spent 0:00:00.08 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 1, length 16 :
% 0.19/0.43 % SZS output start Refutation
% See solution above
% 0.19/0.43 Formulae used in the proof : axiom_0 axiom_3 axiom_5 axiom_1 axiom_2 the_axiom
% 0.19/0.43
%------------------------------------------------------------------------------