TSTP Solution File: SEU040+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU040+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 14:33:41 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 5 unt; 0 nHn; 8 RR)
% Number of literals : 11 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
relation(skc11),
file('SEU040+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ relation(u)
| subset(relation_dom(relation_dom_restriction(u,v)),relation_dom(u)) ),
file('SEU040+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ relation(u)
| subset(relation_rng(relation_dom_restriction(u,v)),relation_rng(u)) ),
file('SEU040+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ subset(relation_dom(relation_dom_restriction(skc11,skc12)),relation_dom(skc11))
| ~ subset(relation_rng(relation_dom_restriction(skc11,skc13)),relation_rng(skc11)) ),
file('SEU040+1.p',unknown),
[] ).
cnf(62,plain,
subset(relation_dom(relation_dom_restriction(skc11,u)),relation_dom(skc11)),
inference(res,[status(thm),theory(equality)],[2,53]),
[iquote('0:Res:2.0,53.0')] ).
cnf(63,plain,
subset(relation_rng(relation_dom_restriction(skc11,u)),relation_rng(skc11)),
inference(res,[status(thm),theory(equality)],[2,54]),
[iquote('0:Res:2.0,54.0')] ).
cnf(69,plain,
~ subset(relation_rng(relation_dom_restriction(skc11,skc13)),relation_rng(skc11)),
inference(mrr,[status(thm)],[58,62]),
[iquote('0:MRR:58.0,62.0')] ).
cnf(70,plain,
$false,
inference(mrr,[status(thm)],[69,63]),
[iquote('0:MRR:69.0,63.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU040+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 21:21:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45
% 0.19/0.45 SPASS V 3.9
% 0.19/0.45 SPASS beiseite: Proof found.
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 9 clauses, backtracked 0 clauses, performed 0 splits and kept 61 clauses.
% 0.19/0.45 SPASS allocated 97716 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.09 on the problem.
% 0.19/0.45 0:00:00.04 for the input.
% 0.19/0.45 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.00 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.00 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 1, length 8 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.45 Formulae used in the proof : t76_funct_1 t89_relat_1 t99_relat_1
% 0.19/0.45
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