TSTP Solution File: SEU429+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU429+1 : TPTP v8.1.0. Released v3.4.0.
% 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 : Tue Jul 19 14:37:22 EDT 2022
% Result : Theorem 0.22s 0.47s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 1 nHn; 7 RR)
% Number of literals : 12 ( 0 equ; 6 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(11,axiom,
~ v1_xboole_0(skc7),
file('SEU429+1.p',unknown),
[] ).
cnf(15,axiom,
m2_relset_1(skc10,skc7,skc9),
file('SEU429+1.p',unknown),
[] ).
cnf(23,axiom,
m1_subset_1(skc8,k1_zfmisc_1(k1_zfmisc_1(skc7))),
file('SEU429+1.p',unknown),
[] ).
cnf(47,axiom,
~ m1_subset_1(a_4_1_relset_2(skc7,skc9,skc8,skc10),k1_zfmisc_1(k1_zfmisc_1(skc9))),
file('SEU429+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(k1_zfmisc_1(v)))
| ~ m2_relset_1(w,v,x)
| v1_xboole_0(v)
| m1_subset_1(a_4_1_relset_2(v,x,u,w),k1_zfmisc_1(k1_zfmisc_1(x))) ),
file('SEU429+1.p',unknown),
[] ).
cnf(99,plain,
( ~ m2_relset_1(skc10,skc7,skc9)
| ~ m1_subset_1(skc8,k1_zfmisc_1(k1_zfmisc_1(skc7)))
| v1_xboole_0(skc7) ),
inference(res,[status(thm),theory(equality)],[61,47]),
[iquote('0:Res:61.2,47.0')] ).
cnf(105,plain,
$false,
inference(mrr,[status(thm)],[99,15,23,11]),
[iquote('0:MRR:99.0,99.1,99.2,15.0,23.0,11.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU429+1 : TPTP v8.1.0. Released v3.4.0.
% 0.14/0.14 % Command : run_spass %d %s
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Mon Jun 20 10:33:50 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.22/0.47
% 0.22/0.47 SPASS V 3.9
% 0.22/0.47 SPASS beiseite: Proof found.
% 0.22/0.47 % SZS status Theorem
% 0.22/0.47 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.47 SPASS derived 28 clauses, backtracked 0 clauses, performed 0 splits and kept 80 clauses.
% 0.22/0.47 SPASS allocated 97989 KBytes.
% 0.22/0.47 SPASS spent 0:00:00.10 on the problem.
% 0.22/0.47 0:00:00.04 for the input.
% 0.22/0.47 0:00:00.04 for the FLOTTER CNF translation.
% 0.22/0.47 0:00:00.00 for inferences.
% 0.22/0.47 0:00:00.00 for the backtracking.
% 0.22/0.47 0:00:00.00 for the reduction.
% 0.22/0.47
% 0.22/0.47
% 0.22/0.47 Here is a proof with depth 1, length 7 :
% 0.22/0.47 % SZS output start Refutation
% See solution above
% 0.22/0.47 Formulae used in the proof : t28_relset_2 s8_domain_1__e1_38__relset_2
% 0.22/0.47
%------------------------------------------------------------------------------