TSTP Solution File: KRS068+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS068+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 03:30:27 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 4 unt; 2 nHn; 10 RR)
% Number of literals : 18 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
cUnsatisfiable(i2003_11_14_17_18_23845),
file('KRS068+1.p',unknown),
[] ).
cnf(5,axiom,
~ cc(skf1(u)),
file('KRS068+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ cUnsatisfiable(u)
| cc(u) ),
file('KRS068+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ cd(u)
| ~ cUnsatisfiable(u) ),
file('KRS068+1.p',unknown),
[] ).
cnf(9,axiom,
( cd(u)
| rr(u,skf1(u)) ),
file('KRS068+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ cc(u)
| ~ rr(u,v)
| cc(v) ),
file('KRS068+1.p',unknown),
[] ).
cnf(19,plain,
( ~ cc(u)
| cd(u)
| cc(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[9,10]),
[iquote('0:Res:9.1,10.1')] ).
cnf(20,plain,
( ~ cc(u)
| cd(u) ),
inference(mrr,[status(thm)],[19,5]),
[iquote('0:MRR:19.2,5.0')] ).
cnf(21,plain,
~ cc(i2003_11_14_17_18_23845),
inference(ems,[status(thm)],[8,20,2]),
[iquote('0:EmS:8.0,8.1,20.1,2.0')] ).
cnf(22,plain,
$false,
inference(ssi,[status(thm)],[21,6,2]),
[iquote('0:SSi:21.0,6.0,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS068+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n018.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 13:31:36 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 12 clauses.
% 0.19/0.43 SPASS allocated 97572 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 0:00:00.02 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 2, length 10 :
% 0.19/0.43 % SZS output start Refutation
% See solution above
% 0.19/0.43 Formulae used in the proof : axiom_5 axiom_6 axiom_3 axiom_2 axiom_4
% 0.19/0.43
%------------------------------------------------------------------------------