TSTP Solution File: RNG086+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : RNG086+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 : Mon Jul 18 20:41:26 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 4 unt; 0 nHn; 6 RR)
% Number of literals : 9 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(10,axiom,
aElementOf0(skc30,xI),
file('RNG086+2.p',unknown),
[] ).
cnf(11,axiom,
aElementOf0(skc29,xJ),
file('RNG086+2.p',unknown),
[] ).
cnf(16,axiom,
equal(sdtpldt0(skc30,skc29),xx),
file('RNG086+2.p',unknown),
[] ).
cnf(44,axiom,
( ~ aElementOf0(u,xJ)
| ~ aElementOf0(v,xI)
| ~ equal(sdtpldt0(v,u),xx) ),
file('RNG086+2.p',unknown),
[] ).
cnf(71,plain,
( ~ aElementOf0(skc30,xI)
| ~ aElementOf0(skc29,xJ) ),
inference(res,[status(thm),theory(equality)],[16,44]),
[iquote('0:Res:16.0,44.1')] ).
cnf(74,plain,
$false,
inference(mrr,[status(thm)],[71,10,11]),
[iquote('0:MRR:71.0,71.1,10.0,11.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : RNG086+2 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon May 30 09:18:13 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51
% 0.21/0.51 SPASS V 3.9
% 0.21/0.51 SPASS beiseite: Proof found.
% 0.21/0.51 % SZS status Theorem
% 0.21/0.51 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.51 SPASS derived 5 clauses, backtracked 0 clauses, performed 0 splits and kept 69 clauses.
% 0.21/0.51 SPASS allocated 98741 KBytes.
% 0.21/0.51 SPASS spent 0:00:00.16 on the problem.
% 0.21/0.51 0:00:00.04 for the input.
% 0.21/0.51 0:00:00.10 for the FLOTTER CNF translation.
% 0.21/0.51 0:00:00.00 for inferences.
% 0.21/0.51 0:00:00.00 for the backtracking.
% 0.21/0.51 0:00:00.00 for the reduction.
% 0.21/0.51
% 0.21/0.51
% 0.21/0.51 Here is a proof with depth 1, length 6 :
% 0.21/0.51 % SZS output start Refutation
% See solution above
% 0.21/0.51 Formulae used in the proof : m__901 m__
% 0.21/0.51
%------------------------------------------------------------------------------