TSTP Solution File: SEU435+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU435+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 14:37:27 EDT 2022
% Result : Theorem 0.21s 0.47s
% 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 : 4 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-6 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(14,axiom,
m1_subset_1(skc13,k1_zfmisc_1(skc12)),
file('SEU435+1.p',unknown),
[] ).
cnf(30,axiom,
m1_subset_1(skc11,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(skc9,skc10)))),
file('SEU435+1.p',unknown),
[] ).
cnf(47,axiom,
~ m1_subset_1(a_6_0_relset_2(skc9,skc10,skc11,skc12,skc14,skc13),k1_zfmisc_1(k1_zfmisc_1(skc14))),
file('SEU435+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ m1_subset_1(u,k1_zfmisc_1(v))
| ~ m1_subset_1(w,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(x,y))))
| m1_subset_1(a_6_0_relset_2(x,y,w,v,z,u),k1_zfmisc_1(k1_zfmisc_1(z))) ),
file('SEU435+1.p',unknown),
[] ).
cnf(98,plain,
( ~ m1_subset_1(skc11,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(skc9,skc10))))
| ~ m1_subset_1(skc13,k1_zfmisc_1(skc12)) ),
inference(res,[status(thm),theory(equality)],[61,47]),
[iquote('0:Res:61.2,47.0')] ).
cnf(105,plain,
$false,
inference(mrr,[status(thm)],[98,30,14]),
[iquote('0:MRR:98.0,98.1,30.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU435+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jun 19 21:51:07 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47
% 0.21/0.47 SPASS V 3.9
% 0.21/0.47 SPASS beiseite: Proof found.
% 0.21/0.47 % SZS status Theorem
% 0.21/0.47 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 SPASS derived 27 clauses, backtracked 0 clauses, performed 0 splits and kept 77 clauses.
% 0.21/0.47 SPASS allocated 97957 KBytes.
% 0.21/0.47 SPASS spent 0:00:00.11 on the problem.
% 0.21/0.47 0:00:00.04 for the input.
% 0.21/0.47 0:00:00.04 for the FLOTTER CNF translation.
% 0.21/0.47 0:00:00.00 for inferences.
% 0.21/0.47 0:00:00.00 for the backtracking.
% 0.21/0.47 0:00:00.00 for the reduction.
% 0.21/0.47
% 0.21/0.47
% 0.21/0.47 Here is a proof with depth 1, length 6 :
% 0.21/0.47 % SZS output start Refutation
% See solution above
% 0.21/0.47 Formulae used in the proof : t36_relset_2 s8_domain_1__e1_46__relset_2
% 0.21/0.47
%------------------------------------------------------------------------------