TSTP Solution File: SEU200+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU200+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 14:34:56 EDT 2022
% Result : Theorem 0.18s 0.43s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 5 unt; 0 nHn; 9 RR)
% Number of literals : 16 ( 0 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
relation(skc6),
file('SEU200+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ relation(u)
| relation(relation_rng_restriction(v,u)) ),
file('SEU200+1.p',unknown),
[] ).
cnf(27,axiom,
~ subset(relation_rng(relation_rng_restriction(skc7,skc6)),relation_rng(skc6)),
file('SEU200+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ relation(u)
| subset(relation_rng_restriction(v,u),u) ),
file('SEU200+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ relation(u)
| ~ relation(v)
| ~ subset(v,u)
| subset(relation_rng(v),relation_rng(u)) ),
file('SEU200+1.p',unknown),
[] ).
cnf(44,plain,
subset(relation_rng_restriction(u,skc6),skc6),
inference(res,[status(thm),theory(equality)],[1,29]),
[iquote('0:Res:1.0,29.0')] ).
cnf(45,plain,
relation(relation_rng_restriction(u,skc6)),
inference(res,[status(thm),theory(equality)],[1,24]),
[iquote('0:Res:1.0,24.0')] ).
cnf(49,plain,
( ~ relation(relation_rng_restriction(skc7,skc6))
| ~ relation(skc6)
| ~ subset(relation_rng_restriction(skc7,skc6),skc6) ),
inference(res,[status(thm),theory(equality)],[39,27]),
[iquote('0:Res:39.3,27.0')] ).
cnf(50,plain,
$false,
inference(mrr,[status(thm)],[49,45,1,44]),
[iquote('0:MRR:49.0,49.1,49.2,45.0,1.0,44.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU200+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n027.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 : Mon Jun 20 13:50:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.43
% 0.18/0.43 SPASS V 3.9
% 0.18/0.43 SPASS beiseite: Proof found.
% 0.18/0.43 % SZS status Theorem
% 0.18/0.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 SPASS derived 10 clauses, backtracked 0 clauses, performed 0 splits and kept 48 clauses.
% 0.18/0.43 SPASS allocated 97694 KBytes.
% 0.18/0.43 SPASS spent 0:00:00.09 on the problem.
% 0.18/0.43 0:00:00.04 for the input.
% 0.18/0.43 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.43 0:00:00.00 for inferences.
% 0.18/0.43 0:00:00.00 for the backtracking.
% 0.18/0.43 0:00:00.00 for the reduction.
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 Here is a proof with depth 1, length 9 :
% 0.18/0.43 % SZS output start Refutation
% See solution above
% 0.18/0.43 Formulae used in the proof : t118_relat_1 dt_k8_relat_1 t117_relat_1 t25_relat_1
% 0.18/0.43
%------------------------------------------------------------------------------