TSTP Solution File: SEU158+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU158+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 : Tue Jul 19 14:34:28 EDT 2022
% Result : Theorem 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 4 unt; 1 nHn; 8 RR)
% Number of literals : 12 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( subset(singleton(skc2),skc3)
| in(skc2,skc3) ),
file('SEU158+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ subset(singleton(u),v)
| in(u,v) ),
file('SEU158+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ in(u,v)
| subset(singleton(u),v) ),
file('SEU158+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ subset(singleton(skc2),skc3)
| ~ in(skc2,skc3) ),
file('SEU158+1.p',unknown),
[] ).
cnf(7,plain,
subset(singleton(skc2),skc3),
inference(mrr,[status(thm)],[2,5]),
[iquote('0:MRR:2.1,5.0')] ).
cnf(8,plain,
~ in(skc2,skc3),
inference(mrr,[status(thm)],[6,7]),
[iquote('0:MRR:6.0,7.0')] ).
cnf(9,plain,
in(skc2,skc3),
inference(res,[status(thm),theory(equality)],[7,4]),
[iquote('0:Res:7.0,4.0')] ).
cnf(11,plain,
$false,
inference(mrr,[status(thm)],[9,8]),
[iquote('0:MRR:9.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SEU158+1 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.14 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 19 09:16:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.44
% 0.21/0.44 SPASS V 3.9
% 0.21/0.44 SPASS beiseite: Proof found.
% 0.21/0.44 % SZS status Theorem
% 0.21/0.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.44 SPASS derived 3 clauses, backtracked 0 clauses, performed 0 splits and kept 8 clauses.
% 0.21/0.44 SPASS allocated 85087 KBytes.
% 0.21/0.44 SPASS spent 0:00:00.08 on the problem.
% 0.21/0.44 0:00:00.03 for the input.
% 0.21/0.44 0:00:00.02 for the FLOTTER CNF translation.
% 0.21/0.44 0:00:00.00 for inferences.
% 0.21/0.44 0:00:00.00 for the backtracking.
% 0.21/0.44 0:00:00.00 for the reduction.
% 0.21/0.44
% 0.21/0.44
% 0.21/0.44 Here is a proof with depth 1, length 8 :
% 0.21/0.44 % SZS output start Refutation
% See solution above
% 0.21/0.44 Formulae used in the proof : t37_zfmisc_1 l2_zfmisc_1
% 0.21/0.44
%------------------------------------------------------------------------------