%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU401+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 14:36:58 EDT 2022
% Result : Theorem 0.45s 0.65s
% Output : Refutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 27 ( 5 unt; 3 nHn; 27 RR)
% Number of literals : 73 ( 0 equ; 45 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(18,axiom,
~ equal(skc12,skc11),
file('SEU401+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ in(u,skc11)
| in(u,the_carrier(skc9)) ),
file('SEU401+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ in(u,skc11)
| element(u,the_carrier(skc9)) ),
file('SEU401+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ in(u,skc12)
| in(u,the_carrier(skc9)) ),
file('SEU401+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ in(u,skc12)
| element(u,the_carrier(skc9)) ),
file('SEU401+1.p',unknown),
[] ).
cnf(97,axiom,
( ~ in(skf33(u,v),u)
| ~ in(skf33(u,v),v) ),
file('SEU401+1.p',unknown),
[] ).
cnf(98,axiom,
( equal(u,v)
| in(skf33(v,u),v)
| in(skf33(v,u),u) ),
file('SEU401+1.p',unknown),
[] ).
cnf(115,axiom,
( ~ in(u,skc12)
| netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(skc10,skc9,u)),the_carrier(skc10),the_mapping(skc10,subnetstr_of_element(skc10,skc9,u))),skc10,skc9) ),
file('SEU401+1.p',unknown),
[] ).
cnf(116,axiom,
( ~ in(u,skc11)
| netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(skc10,skc9,u)),the_carrier(skc10),the_mapping(skc10,subnetstr_of_element(skc10,skc9,u))),skc10,skc9) ),
file('SEU401+1.p',unknown),
[] ).
cnf(127,axiom,
( ~ in(u,skc12)
| equal(topstr_closure(skc10,relation_rng_as_subset(the_carrier(subnetstr_of_element(skc10,skc9,u)),the_carrier(skc10),the_mapping(skc10,subnetstr_of_element(skc10,skc9,u)))),skc13) ),
file('SEU401+1.p',unknown),
[] ).
cnf(128,axiom,
( ~ in(u,skc11)
| equal(topstr_closure(skc10,relation_rng_as_subset(the_carrier(subnetstr_of_element(skc10,skc9,u)),the_carrier(skc10),the_mapping(skc10,subnetstr_of_element(skc10,skc9,u)))),skc13) ),
file('SEU401+1.p',unknown),
[] ).
cnf(154,axiom,
( ~ element(u,the_carrier(skc9))
| ~ in(u,the_carrier(skc9))
| ~ equal(topstr_closure(skc10,relation_rng_as_subset(the_carrier(subnetstr_of_element(skc10,skc9,u)),the_carrier(skc10),the_mapping(skc10,subnetstr_of_element(skc10,skc9,u)))),skc13)
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(skc10,skc9,u)),the_carrier(skc10),the_mapping(skc10,subnetstr_of_element(skc10,skc9,u))),skc10,skc9)
| in(u,skc12) ),
file('SEU401+1.p',unknown),
[] ).
cnf(155,axiom,
( ~ element(u,the_carrier(skc9))
| ~ in(u,the_carrier(skc9))
| ~ equal(topstr_closure(skc10,relation_rng_as_subset(the_carrier(subnetstr_of_element(skc10,skc9,u)),the_carrier(skc10),the_mapping(skc10,subnetstr_of_element(skc10,skc9,u)))),skc13)
| ~ netstr_induced_subset(relation_rng_as_subset(the_carrier(subnetstr_of_element(skc10,skc9,u)),the_carrier(skc10),the_mapping(skc10,subnetstr_of_element(skc10,skc9,u))),skc10,skc9)
| in(u,skc11) ),
file('SEU401+1.p',unknown),
[] ).
cnf(1173,plain,
( ~ in(u,skc12)
| ~ element(u,the_carrier(skc9))
| ~ in(u,the_carrier(skc9))
| ~ equal(topstr_closure(skc10,relation_rng_as_subset(the_carrier(subnetstr_of_element(skc10,skc9,u)),the_carrier(skc10),the_mapping(skc10,subnetstr_of_element(skc10,skc9,u)))),skc13)
| in(u,skc11) ),
inference(res,[status(thm),theory(equality)],[115,155]),
[iquote('0:Res:115.1,155.3')] ).
cnf(1175,plain,
( ~ in(u,skc12)
| ~ element(u,the_carrier(skc9))
| ~ in(u,the_carrier(skc9))
| ~ equal(skc13,skc13)
| in(u,skc11) ),
inference(rew,[status(thm),theory(equality)],[127,1173]),
[iquote('0:Rew:127.1,1173.3')] ).
cnf(1176,plain,
( ~ in(u,skc12)
| ~ element(u,the_carrier(skc9))
| ~ in(u,the_carrier(skc9))
| in(u,skc11) ),
inference(obv,[status(thm),theory(equality)],[1175]),
[iquote('0:Obv:1175.3')] ).
cnf(1177,plain,
( ~ in(u,skc12)
| in(u,skc11) ),
inference(mrr,[status(thm)],[1176,61,60]),
[iquote('0:MRR:1176.1,1176.2,61.1,60.1')] ).
cnf(1179,plain,
( equal(skc12,u)
| in(skf33(u,skc12),u)
| in(skf33(u,skc12),skc11) ),
inference(res,[status(thm),theory(equality)],[98,1177]),
[iquote('0:Res:98.2,1177.0')] ).
cnf(1181,plain,
( equal(skc12,skc11)
| in(skf33(skc11,skc12),skc11) ),
inference(fac,[status(thm)],[1179]),
[iquote('0:Fac:1179.1,1179.2')] ).
cnf(1186,plain,
in(skf33(skc11,skc12),skc11),
inference(mrr,[status(thm)],[1181,18]),
[iquote('0:MRR:1181.0,18.0')] ).
cnf(1188,plain,
~ in(skf33(skc11,skc12),skc12),
inference(res,[status(thm),theory(equality)],[1186,97]),
[iquote('0:Res:1186.0,97.0')] ).
cnf(1191,plain,
( ~ in(u,skc11)
| ~ element(u,the_carrier(skc9))
| ~ in(u,the_carrier(skc9))
| ~ equal(topstr_closure(skc10,relation_rng_as_subset(the_carrier(subnetstr_of_element(skc10,skc9,u)),the_carrier(skc10),the_mapping(skc10,subnetstr_of_element(skc10,skc9,u)))),skc13)
| in(u,skc12) ),
inference(res,[status(thm),theory(equality)],[116,154]),
[iquote('0:Res:116.1,154.3')] ).
cnf(1192,plain,
( ~ in(u,skc11)
| ~ element(u,the_carrier(skc9))
| ~ in(u,the_carrier(skc9))
| ~ equal(skc13,skc13)
| in(u,skc12) ),
inference(rew,[status(thm),theory(equality)],[128,1191]),
[iquote('0:Rew:128.1,1191.3')] ).
cnf(1193,plain,
( ~ in(u,skc11)
| ~ element(u,the_carrier(skc9))
| ~ in(u,the_carrier(skc9))
| in(u,skc12) ),
inference(obv,[status(thm),theory(equality)],[1192]),
[iquote('0:Obv:1192.3')] ).
cnf(1194,plain,
( ~ in(u,skc11)
| in(u,skc12) ),
inference(mrr,[status(thm)],[1193,59,58]),
[iquote('0:MRR:1193.1,1193.2,59.1,58.1')] ).
cnf(1204,plain,
~ in(skf33(skc11,skc12),skc11),
inference(res,[status(thm),theory(equality)],[1194,1188]),
[iquote('0:Res:1194.1,1188.0')] ).
cnf(1205,plain,
$false,
inference(mrr,[status(thm)],[1204,1186]),
[iquote('0:MRR:1204.0,1186.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU401+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n026.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 : Mon Jun 20 09:57:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.45/0.65
% 0.45/0.65 SPASS V 3.9
% 0.45/0.65 SPASS beiseite: Proof found.
% 0.45/0.65 % SZS status Theorem
% 0.45/0.65 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.65 SPASS derived 787 clauses, backtracked 0 clauses, performed 2 splits and kept 701 clauses.
% 0.45/0.65 SPASS allocated 98810 KBytes.
% 0.45/0.65 SPASS spent 0:00:00.28 on the problem.
% 0.45/0.65 0:00:00.04 for the input.
% 0.45/0.65 0:00:00.06 for the FLOTTER CNF translation.
% 0.45/0.65 0:00:00.02 for inferences.
% 0.45/0.65 0:00:00.00 for the backtracking.
% 0.45/0.65 0:00:00.12 for the reduction.
% 0.45/0.65
% 0.45/0.65
% 0.45/0.65 Here is a proof with depth 5, length 27 :
% 0.45/0.65 % SZS output start Refutation
% See solution above
% 0.45/0.65 Formulae used in the proof : s2_xboole_0__e6_39_3__yellow19__1 t2_tarski antisymmetry_r2_hidden
% 0.45/0.65
%------------------------------------------------------------------------------