TSTP Solution File: SEU387+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU387+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 14:36:50 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 16
% Syntax : Number of clauses : 22 ( 16 unt; 1 nHn; 22 RR)
% Number of literals : 63 ( 0 equ; 42 neg)
% Maximal clause size : 12 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
empty(skc20),
file('SEU387+1.p',unknown),
[] ).
cnf(85,axiom,
in(skc20,skc19),
file('SEU387+1.p',unknown),
[] ).
cnf(89,axiom,
rel_str(boole_POSet(u)),
file('SEU387+1.p',unknown),
[] ).
cnf(121,axiom,
reflexive_relstr(boole_POSet(u)),
file('SEU387+1.p',unknown),
[] ).
cnf(122,axiom,
transitive_relstr(boole_POSet(u)),
file('SEU387+1.p',unknown),
[] ).
cnf(123,axiom,
antisymmetric_relstr(boole_POSet(u)),
file('SEU387+1.p',unknown),
[] ).
cnf(124,axiom,
lower_bounded_relstr(boole_POSet(u)),
file('SEU387+1.p',unknown),
[] ).
cnf(149,axiom,
filtered_subset(skc19,boole_POSet(skc18)),
file('SEU387+1.p',unknown),
[] ).
cnf(150,axiom,
upper_relstr_subset(skc19,boole_POSet(skc18)),
file('SEU387+1.p',unknown),
[] ).
cnf(157,axiom,
~ empty_carrier(boole_POSet(u)),
file('SEU387+1.p',unknown),
[] ).
cnf(185,axiom,
equal(bottom_of_relstr(boole_POSet(u)),empty_set),
file('SEU387+1.p',unknown),
[] ).
cnf(186,axiom,
proper_element(skc19,powerset(the_carrier(boole_POSet(skc18)))),
file('SEU387+1.p',unknown),
[] ).
cnf(187,axiom,
element(skc19,powerset(the_carrier(boole_POSet(skc18)))),
file('SEU387+1.p',unknown),
[] ).
cnf(201,axiom,
( ~ empty(u)
| equal(u,empty_set) ),
file('SEU387+1.p',unknown),
[] ).
cnf(205,axiom,
( ~ empty(u)
| ~ in(v,u) ),
file('SEU387+1.p',unknown),
[] ).
cnf(260,axiom,
( ~ reflexive_relstr(u)
| ~ transitive_relstr(u)
| ~ antisymmetric_relstr(u)
| ~ lower_bounded_relstr(u)
| ~ rel_str(u)
| ~ in(bottom_of_relstr(u),v)
| ~ proper_element(v,powerset(the_carrier(u)))
| ~ filtered_subset(v,u)
| ~ upper_relstr_subset(v,u)
| ~ element(v,powerset(the_carrier(u)))
| empty_carrier(u)
| empty(v) ),
file('SEU387+1.p',unknown),
[] ).
cnf(264,plain,
( ~ rel_str(u)
| ~ lower_bounded_relstr(u)
| ~ antisymmetric_relstr(u)
| ~ transitive_relstr(u)
| ~ reflexive_relstr(u)
| ~ upper_relstr_subset(v,u)
| ~ filtered_subset(v,u)
| ~ element(v,powerset(the_carrier(u)))
| ~ proper_element(v,powerset(the_carrier(u)))
| ~ in(bottom_of_relstr(u),v)
| empty_carrier(u) ),
inference(mrr,[status(thm)],[260,205]),
[iquote('0:MRR:260.11,205.0')] ).
cnf(268,plain,
equal(skc20,empty_set),
inference(res,[status(thm),theory(equality)],[1,201]),
[iquote('0:Res:1.0,201.0')] ).
cnf(309,plain,
( ~ reflexive_relstr(boole_POSet(skc18))
| ~ transitive_relstr(boole_POSet(skc18))
| ~ antisymmetric_relstr(boole_POSet(skc18))
| ~ lower_bounded_relstr(boole_POSet(skc18))
| ~ rel_str(boole_POSet(skc18))
| ~ in(bottom_of_relstr(boole_POSet(skc18)),skc19)
| ~ filtered_subset(skc19,boole_POSet(skc18))
| ~ upper_relstr_subset(skc19,boole_POSet(skc18))
| ~ element(skc19,powerset(the_carrier(boole_POSet(skc18))))
| empty_carrier(boole_POSet(skc18)) ),
inference(res,[status(thm),theory(equality)],[186,264]),
[iquote('0:Res:186.0,264.6')] ).
cnf(311,plain,
in(empty_set,skc19),
inference(rew,[status(thm),theory(equality)],[268,85]),
[iquote('0:Rew:268.0,85.0')] ).
cnf(323,plain,
( ~ reflexive_relstr(boole_POSet(skc18))
| ~ transitive_relstr(boole_POSet(skc18))
| ~ antisymmetric_relstr(boole_POSet(skc18))
| ~ lower_bounded_relstr(boole_POSet(skc18))
| ~ rel_str(boole_POSet(skc18))
| ~ in(empty_set,skc19)
| ~ filtered_subset(skc19,boole_POSet(skc18))
| ~ upper_relstr_subset(skc19,boole_POSet(skc18))
| ~ element(skc19,powerset(the_carrier(boole_POSet(skc18))))
| empty_carrier(boole_POSet(skc18)) ),
inference(rew,[status(thm),theory(equality)],[185,309]),
[iquote('0:Rew:185.0,309.5')] ).
cnf(324,plain,
$false,
inference(mrr,[status(thm)],[323,121,122,123,124,89,311,149,150,187,157]),
[iquote('0:MRR:323.0,323.1,323.2,323.3,323.4,323.5,323.6,323.7,323.8,323.9,121.0,122.0,123.0,124.0,89.0,311.0,149.0,150.0,187.0,157.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU387+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 09:54:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47
% 0.19/0.47 SPASS V 3.9
% 0.19/0.47 SPASS beiseite: Proof found.
% 0.19/0.47 % SZS status Theorem
% 0.19/0.47 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 SPASS derived 45 clauses, backtracked 0 clauses, performed 0 splits and kept 244 clauses.
% 0.19/0.47 SPASS allocated 98061 KBytes.
% 0.19/0.47 SPASS spent 0:00:00.12 on the problem.
% 0.19/0.47 0:00:00.04 for the input.
% 0.19/0.47 0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.47 0:00:00.00 for inferences.
% 0.19/0.47 0:00:00.00 for the backtracking.
% 0.19/0.47 0:00:00.01 for the reduction.
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 Here is a proof with depth 1, length 22 :
% 0.19/0.47 % SZS output start Refutation
% See solution above
% 0.19/0.47 Formulae used in the proof : t2_yellow19 dt_k3_yellow_1 fc8_yellow_6 t18_yellow_1 t6_boole t7_boole t8_waybel_7
% 0.19/0.47
%------------------------------------------------------------------------------