TSTP Solution File: SEU187+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU187+2 : TPTP v8.1.0. Released v3.3.0.
% 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 14:34:49 EDT 2022
% Result : Theorem 4.38s 4.57s
% Output : Refutation 4.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of clauses : 33 ( 13 unt; 9 nHn; 33 RR)
% Number of literals : 59 ( 0 equ; 26 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
empty(skc99),
file('SEU187+2.p',unknown),
[] ).
cnf(5,axiom,
relation(skc99),
file('SEU187+2.p',unknown),
[] ).
cnf(21,axiom,
in(u,skf68(v,u)),
file('SEU187+2.p',unknown),
[] ).
cnf(44,axiom,
( ~ empty(u)
| equal(u,empty_set) ),
file('SEU187+2.p',unknown),
[] ).
cnf(56,axiom,
( in(u,v)
| disjoint(singleton(u),v) ),
file('SEU187+2.p',unknown),
[] ).
cnf(61,axiom,
( ~ in(u,v)
| ~ in(v,u) ),
file('SEU187+2.p',unknown),
[] ).
cnf(77,axiom,
( disjoint(u,v)
| in(skf91(v,u),u) ),
file('SEU187+2.p',unknown),
[] ).
cnf(87,axiom,
( ~ disjoint(u,v)
| equal(set_intersection2(u,v),empty_set) ),
file('SEU187+2.p',unknown),
[] ).
cnf(115,axiom,
( ~ equal(relation_rng(empty_set),empty_set)
| ~ equal(relation_dom(empty_set),empty_set) ),
file('SEU187+2.p',unknown),
[] ).
cnf(126,axiom,
( ~ in(u,set_intersection2(v,w))
| ~ disjoint(v,w) ),
file('SEU187+2.p',unknown),
[] ).
cnf(246,axiom,
( ~ relation(u)
| equal(v,relation_rng(u))
| in(skf75(u,v),v)
| in(ordered_pair(skf76(v,u),skf75(u,v)),u) ),
file('SEU187+2.p',unknown),
[] ).
cnf(248,axiom,
( ~ relation(u)
| equal(v,relation_dom(u))
| in(skf66(u,v),v)
| in(ordered_pair(skf66(u,v),skf67(v,u)),u) ),
file('SEU187+2.p',unknown),
[] ).
cnf(271,plain,
( ~ disjoint(u,v)
| ~ in(w,empty_set) ),
inference(rew,[status(thm),theory(equality)],[87,126]),
[iquote('0:Rew:87.1,126.0')] ).
cnf(298,plain,
equal(empty_set,skc99),
inference(ems,[status(thm)],[44,4]),
[iquote('0:EmS:44.0,4.0')] ).
cnf(329,plain,
( ~ disjoint(u,v)
| ~ in(w,skc99) ),
inference(rew,[status(thm),theory(equality)],[298,271]),
[iquote('0:Rew:298.0,271.1')] ).
cnf(330,plain,
( ~ equal(relation_rng(skc99),skc99)
| ~ equal(relation_dom(empty_set),empty_set) ),
inference(rew,[status(thm),theory(equality)],[298,115]),
[iquote('0:Rew:298.0,115.0')] ).
cnf(336,plain,
( ~ equal(relation_rng(skc99),skc99)
| ~ equal(relation_dom(skc99),skc99) ),
inference(rew,[status(thm),theory(equality)],[298,330]),
[iquote('0:Rew:298.0,330.1')] ).
cnf(422,plain,
( ~ in(u,skc99)
| in(v,w) ),
inference(res,[status(thm),theory(equality)],[56,329]),
[iquote('0:Res:56.1,329.0')] ).
cnf(430,plain,
~ in(skf68(u,v),v),
inference(res,[status(thm),theory(equality)],[21,61]),
[iquote('0:Res:21.0,61.0')] ).
cnf(436,plain,
( disjoint(skc99,u)
| in(v,w) ),
inference(res,[status(thm),theory(equality)],[77,422]),
[iquote('0:Res:77.1,422.0')] ).
cnf(438,plain,
in(u,v),
inference(spt,[spt(split,[position(s1)])],[436]),
[iquote('1:Spt:436.1')] ).
cnf(439,plain,
$false,
inference(unc,[status(thm)],[438,430]),
[iquote('1:UnC:438.0,430.0')] ).
cnf(440,plain,
disjoint(skc99,u),
inference(spt,[spt(split,[position(s2)])],[436]),
[iquote('1:Spt:439.0,436.0')] ).
cnf(441,plain,
~ in(u,skc99),
inference(res,[status(thm),theory(equality)],[440,329]),
[iquote('1:Res:440.0,329.0')] ).
cnf(11154,plain,
( ~ relation(skc99)
| equal(u,relation_dom(skc99))
| in(skf66(skc99,u),u) ),
inference(res,[status(thm),theory(equality)],[248,441]),
[iquote('1:Res:248.3,441.0')] ).
cnf(11179,plain,
( equal(u,relation_dom(skc99))
| in(skf66(skc99,u),u) ),
inference(ssi,[status(thm)],[11154,4,5]),
[iquote('1:SSi:11154.0,4.0,5.0')] ).
cnf(11270,plain,
( ~ relation(skc99)
| equal(u,relation_rng(skc99))
| in(skf75(skc99,u),u) ),
inference(res,[status(thm),theory(equality)],[246,441]),
[iquote('1:Res:246.3,441.0')] ).
cnf(11295,plain,
( equal(u,relation_rng(skc99))
| in(skf75(skc99,u),u) ),
inference(ssi,[status(thm)],[11270,4,5]),
[iquote('1:SSi:11270.0,4.0,5.0')] ).
cnf(12087,plain,
equal(relation_dom(skc99),skc99),
inference(res,[status(thm),theory(equality)],[11179,441]),
[iquote('1:Res:11179.1,441.0')] ).
cnf(12103,plain,
( ~ equal(relation_rng(skc99),skc99)
| ~ equal(skc99,skc99) ),
inference(rew,[status(thm),theory(equality)],[12087,336]),
[iquote('1:Rew:12087.0,336.1')] ).
cnf(12109,plain,
~ equal(relation_rng(skc99),skc99),
inference(obv,[status(thm),theory(equality)],[12103]),
[iquote('1:Obv:12103.1')] ).
cnf(12218,plain,
equal(relation_rng(skc99),skc99),
inference(res,[status(thm),theory(equality)],[11295,441]),
[iquote('1:Res:11295.1,441.0')] ).
cnf(12234,plain,
$false,
inference(mrr,[status(thm)],[12218,12109]),
[iquote('1:MRR:12218.0,12109.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU187+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n017.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 01:24:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 4.38/4.57
% 4.38/4.57 SPASS V 3.9
% 4.38/4.57 SPASS beiseite: Proof found.
% 4.38/4.57 % SZS status Theorem
% 4.38/4.57 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.38/4.57 SPASS derived 10485 clauses, backtracked 1 clauses, performed 1 splits and kept 4364 clauses.
% 4.38/4.57 SPASS allocated 107103 KBytes.
% 4.38/4.57 SPASS spent 0:00:04.14 on the problem.
% 4.38/4.57 0:00:00.04 for the input.
% 4.38/4.57 0:00:00.85 for the FLOTTER CNF translation.
% 4.38/4.57 0:00:00.10 for inferences.
% 4.38/4.57 0:00:00.07 for the backtracking.
% 4.38/4.57 0:00:03.01 for the reduction.
% 4.38/4.57
% 4.38/4.57
% 4.38/4.57 Here is a proof with depth 6, length 33 :
% 4.38/4.57 % SZS output start Refutation
% See solution above
% 4.38/4.57 Formulae used in the proof : rc1_relat_1 d4_tarski t9_tarski t6_boole l28_zfmisc_1 antisymmetry_r2_hidden t3_xboole_0 d7_xboole_0 t60_relat_1 t4_xboole_0 d5_relat_1 d4_relat_1
% 4.38/4.57
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