TSTP Solution File: SEU188+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU188+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 14:34:50 EDT 2022
% Result : Theorem 0.22s 0.47s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 19 ( 13 unt; 1 nHn; 19 RR)
% Number of literals : 27 ( 0 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
relation(skc5),
file('SEU188+1.p',unknown),
[] ).
cnf(3,axiom,
empty(empty_set),
file('SEU188+1.p',unknown),
[] ).
cnf(11,axiom,
~ equal(empty_set,skc5),
file('SEU188+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ empty(u)
| equal(u,empty_set) ),
file('SEU188+1.p',unknown),
[] ).
cnf(25,axiom,
( equal(relation_rng(skc5),empty_set)
| equal(relation_dom(skc5),empty_set) ),
file('SEU188+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ relation(u)
| ~ empty(relation_dom(u))
| empty(u) ),
file('SEU188+1.p',unknown),
[] ).
cnf(28,axiom,
( ~ relation(u)
| ~ empty(relation_rng(u))
| empty(u) ),
file('SEU188+1.p',unknown),
[] ).
cnf(49,plain,
( ~ empty(relation_dom(skc5))
| empty(skc5) ),
inference(res,[status(thm),theory(equality)],[1,27]),
[iquote('0:Res:1.0,27.0')] ).
cnf(50,plain,
( ~ empty(relation_rng(skc5))
| empty(skc5) ),
inference(res,[status(thm),theory(equality)],[1,28]),
[iquote('0:Res:1.0,28.0')] ).
cnf(53,plain,
~ empty(skc5),
inference(res,[status(thm),theory(equality)],[21,11]),
[iquote('0:Res:21.1,11.0')] ).
cnf(55,plain,
~ empty(relation_dom(skc5)),
inference(mrr,[status(thm)],[49,53]),
[iquote('0:MRR:49.1,53.0')] ).
cnf(56,plain,
~ empty(relation_rng(skc5)),
inference(mrr,[status(thm)],[50,53]),
[iquote('0:MRR:50.1,53.0')] ).
cnf(58,plain,
equal(relation_rng(skc5),empty_set),
inference(spt,[spt(split,[position(s1)])],[25]),
[iquote('1:Spt:25.0')] ).
cnf(61,plain,
~ empty(empty_set),
inference(rew,[status(thm),theory(equality)],[58,56]),
[iquote('1:Rew:58.0,56.0')] ).
cnf(63,plain,
$false,
inference(mrr,[status(thm)],[61,3]),
[iquote('1:MRR:61.0,3.0')] ).
cnf(64,plain,
~ equal(relation_rng(skc5),empty_set),
inference(spt,[spt(split,[position(sa)])],[63,58]),
[iquote('1:Spt:63.0,25.0,58.0')] ).
cnf(65,plain,
equal(relation_dom(skc5),empty_set),
inference(spt,[spt(split,[position(s2)])],[25]),
[iquote('1:Spt:63.0,25.1')] ).
cnf(68,plain,
~ empty(empty_set),
inference(rew,[status(thm),theory(equality)],[65,55]),
[iquote('1:Rew:65.0,55.0')] ).
cnf(70,plain,
$false,
inference(mrr,[status(thm)],[68,3]),
[iquote('1:MRR:68.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU188+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jun 19 02:10:08 EDT 2022
% 0.14/0.36 % 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/sandbox2/benchmark/theBenchmark.p
% 0.22/0.47 SPASS derived 22 clauses, backtracked 6 clauses, performed 1 splits and kept 64 clauses.
% 0.22/0.47 SPASS allocated 97937 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 19 :
% 0.22/0.47 % SZS output start Refutation
% See solution above
% 0.22/0.47 Formulae used in the proof : t64_relat_1 fc4_relat_1 t6_boole fc5_relat_1 fc6_relat_1
% 0.22/0.47
%------------------------------------------------------------------------------