TSTP Solution File: SEU357+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU357+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 14:36:35 EDT 2022
% Result : Theorem 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 21
% Syntax : Number of clauses : 61 ( 16 unt; 13 nHn; 61 RR)
% Number of literals : 186 ( 0 equ; 121 neg)
% Maximal clause size : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
antisymmetric_relstr(skc5),
file('SEU357+1.p',unknown),
[] ).
cnf(2,axiom,
rel_str(skc5),
file('SEU357+1.p',unknown),
[] ).
cnf(5,axiom,
element(skc7,the_carrier(skc5)),
file('SEU357+1.p',unknown),
[] ).
cnf(7,axiom,
element(skf5(u),the_carrier(skc5)),
file('SEU357+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ rel_str(u)
| one_sorted_str(u) ),
file('SEU357+1.p',unknown),
[] ).
cnf(9,axiom,
element(skf6(u,v),the_carrier(v)),
file('SEU357+1.p',unknown),
[] ).
cnf(10,axiom,
( ex_inf_of_relstr_set(skc5,skc6)
| relstr_element_smaller(skc5,skc6,skc7) ),
file('SEU357+1.p',unknown),
[] ).
cnf(11,axiom,
element(skf8(u,v,w),the_carrier(w)),
file('SEU357+1.p',unknown),
[] ).
cnf(12,axiom,
element(skf7(u,v,w),the_carrier(w)),
file('SEU357+1.p',unknown),
[] ).
cnf(13,axiom,
( skP0(u,v,w)
| relstr_element_smaller(w,v,skf8(u,v,w)) ),
file('SEU357+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ related(u,skf8(v,w,u),v)
| skP0(v,w,u) ),
file('SEU357+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ rel_str(u)
| ~ ex_inf_of_relstr_set(u,v)
| relstr_element_smaller(u,v,skf6(v,u)) ),
file('SEU357+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ rel_str(u)
| ~ ex_inf_of_relstr_set(u,v)
| skP0(skf6(v,u),v,u) ),
file('SEU357+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ element(u,the_carrier(skc5))
| ~ relstr_element_smaller(skc5,skc6,u)
| ex_inf_of_relstr_set(skc5,skc6)
| related(skc5,u,skc7) ),
file('SEU357+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ element(u,the_carrier(skc5))
| ~ ex_inf_of_relstr_set(skc5,skc6)
| ~ relstr_element_smaller(skc5,skc6,u)
| relstr_element_smaller(skc5,skc6,skf5(u)) ),
file('SEU357+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ element(u,the_carrier(v))
| ~ relstr_element_smaller(v,w,u)
| ~ skP0(x,w,v)
| related(v,u,x) ),
file('SEU357+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ element(u,the_carrier(skc5))
| ~ ex_inf_of_relstr_set(skc5,skc6)
| ~ relstr_element_smaller(skc5,skc6,u)
| ~ related(skc5,skf5(u),u) ),
file('SEU357+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ rel_str(u)
| ~ element(v,the_carrier(u))
| ~ equal(skf7(v,w,u),v)
| ~ skP0(v,w,u)
| ~ relstr_element_smaller(u,w,v)
| ex_inf_of_relstr_set(u,w) ),
file('SEU357+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ rel_str(u)
| ~ element(v,the_carrier(u))
| ~ skP0(v,w,u)
| ~ relstr_element_smaller(u,w,v)
| ex_inf_of_relstr_set(u,w)
| skP0(skf7(v,w,u),w,u) ),
file('SEU357+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ rel_str(u)
| ~ element(v,the_carrier(u))
| ~ skP0(v,w,u)
| ~ relstr_element_smaller(u,w,v)
| ex_inf_of_relstr_set(u,w)
| relstr_element_smaller(u,w,skf7(v,w,u)) ),
file('SEU357+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ rel_str(u)
| ~ antisymmetric_relstr(u)
| ~ element(v,the_carrier(u))
| ~ element(w,the_carrier(u))
| ~ related(u,v,w)
| ~ related(u,w,v)
| equal(w,v) ),
file('SEU357+1.p',unknown),
[] ).
cnf(32,plain,
( ~ ex_inf_of_relstr_set(skc5,u)
| skP0(skf6(u,skc5),u,skc5) ),
inference(res,[status(thm),theory(equality)],[2,16]),
[iquote('0:Res:2.0,16.0')] ).
cnf(33,plain,
one_sorted_str(skc5),
inference(res,[status(thm),theory(equality)],[2,8]),
[iquote('0:Res:2.0,8.0')] ).
cnf(38,plain,
( ~ skP0(u,v,skc5)
| ~ relstr_element_smaller(skc5,v,skc7)
| related(skc5,skc7,u) ),
inference(res,[status(thm),theory(equality)],[5,19]),
[iquote('0:Res:5.0,19.1')] ).
cnf(41,plain,
( ~ rel_str(skc5)
| ~ relstr_element_smaller(skc5,u,skc7)
| ~ skP0(skc7,u,skc5)
| skP0(skf7(skc7,u,skc5),u,skc5)
| ex_inf_of_relstr_set(skc5,u) ),
inference(res,[status(thm),theory(equality)],[5,23]),
[iquote('0:Res:5.0,23.3')] ).
cnf(43,plain,
( ~ antisymmetric_relstr(skc5)
| ~ rel_str(skc5)
| ~ element(u,the_carrier(skc5))
| ~ related(skc5,skc7,u)
| ~ related(skc5,u,skc7)
| equal(skc7,u) ),
inference(res,[status(thm),theory(equality)],[5,25]),
[iquote('0:Res:5.0,25.2')] ).
cnf(44,plain,
( ~ rel_str(skc5)
| ~ relstr_element_smaller(skc5,u,skc7)
| ~ skP0(skc7,u,skc5)
| ~ equal(skf7(skc7,u,skc5),skc7)
| ex_inf_of_relstr_set(skc5,u) ),
inference(res,[status(thm),theory(equality)],[5,22]),
[iquote('0:Res:5.0,22.1')] ).
cnf(48,plain,
( ~ skP0(u,v,skc5)
| ~ relstr_element_smaller(skc5,v,skf5(w))
| related(skc5,skf5(w),u) ),
inference(res,[status(thm),theory(equality)],[7,19]),
[iquote('0:Res:7.0,19.1')] ).
cnf(59,plain,
( ~ relstr_element_smaller(skc5,skc6,skf7(u,v,skc5))
| ex_inf_of_relstr_set(skc5,skc6)
| related(skc5,skf7(u,v,skc5),skc7) ),
inference(res,[status(thm),theory(equality)],[12,17]),
[iquote('0:Res:12.0,17.0')] ).
cnf(63,plain,
( ~ equal(skf7(skc7,u,skc5),skc7)
| ~ skP0(skc7,u,skc5)
| ~ relstr_element_smaller(skc5,u,skc7)
| ex_inf_of_relstr_set(skc5,u) ),
inference(mrr,[status(thm)],[44,2]),
[iquote('0:MRR:44.0,2.0')] ).
cnf(64,plain,
( ~ skP0(skc7,u,skc5)
| ~ relstr_element_smaller(skc5,u,skc7)
| ex_inf_of_relstr_set(skc5,u)
| skP0(skf7(skc7,u,skc5),u,skc5) ),
inference(mrr,[status(thm)],[41,2]),
[iquote('0:MRR:41.0,2.0')] ).
cnf(66,plain,
( ~ element(u,the_carrier(skc5))
| ~ related(skc5,u,skc7)
| ~ related(skc5,skc7,u)
| equal(skc7,u) ),
inference(mrr,[status(thm)],[43,1,2]),
[iquote('0:MRR:43.0,43.1,1.0,2.0')] ).
cnf(70,plain,
ex_inf_of_relstr_set(skc5,skc6),
inference(spt,[spt(split,[position(s1)])],[17]),
[iquote('1:Spt:17.2')] ).
cnf(73,plain,
( ~ element(u,the_carrier(skc5))
| ~ relstr_element_smaller(skc5,skc6,u)
| relstr_element_smaller(skc5,skc6,skf5(u)) ),
inference(mrr,[status(thm)],[18,70]),
[iquote('1:MRR:18.1,70.0')] ).
cnf(74,plain,
( ~ element(u,the_carrier(skc5))
| ~ relstr_element_smaller(skc5,skc6,u)
| ~ related(skc5,skf5(u),u) ),
inference(mrr,[status(thm)],[20,70]),
[iquote('1:MRR:20.1,70.0')] ).
cnf(84,plain,
( ~ element(u,the_carrier(skc5))
| ~ relstr_element_smaller(skc5,skc6,u)
| ~ skP0(v,skc6,skc5)
| related(skc5,skf5(u),v) ),
inference(res,[status(thm),theory(equality)],[73,48]),
[iquote('1:Res:73.2,48.1')] ).
cnf(92,plain,
( ~ related(skc5,skf7(u,v,skc5),skc7)
| ~ related(skc5,skc7,skf7(u,v,skc5))
| equal(skf7(u,v,skc5),skc7) ),
inference(res,[status(thm),theory(equality)],[12,66]),
[iquote('0:Res:12.0,66.0')] ).
cnf(105,plain,
( ~ skP0(skc7,u,skc5)
| ~ relstr_element_smaller(skc5,u,skc7)
| ~ relstr_element_smaller(skc5,u,skc7)
| ex_inf_of_relstr_set(skc5,u)
| related(skc5,skc7,skf7(skc7,u,skc5)) ),
inference(res,[status(thm),theory(equality)],[64,38]),
[iquote('0:Res:64.3,38.0')] ).
cnf(107,plain,
( ~ skP0(skc7,u,skc5)
| ~ relstr_element_smaller(skc5,u,skc7)
| ex_inf_of_relstr_set(skc5,u)
| related(skc5,skc7,skf7(skc7,u,skc5)) ),
inference(obv,[status(thm),theory(equality)],[105]),
[iquote('0:Obv:105.1')] ).
cnf(110,plain,
( ~ element(u,the_carrier(skc5))
| ~ relstr_element_smaller(skc5,skc6,u)
| ~ skP0(u,skc6,skc5)
| ~ element(u,the_carrier(skc5))
| ~ relstr_element_smaller(skc5,skc6,u) ),
inference(res,[status(thm),theory(equality)],[84,74]),
[iquote('1:Res:84.3,74.2')] ).
cnf(112,plain,
( ~ skP0(u,skc6,skc5)
| ~ element(u,the_carrier(skc5))
| ~ relstr_element_smaller(skc5,skc6,u) ),
inference(obv,[status(thm),theory(equality)],[110]),
[iquote('1:Obv:110.1')] ).
cnf(113,plain,
( ~ ex_inf_of_relstr_set(skc5,skc6)
| ~ element(skf6(skc6,skc5),the_carrier(skc5))
| ~ relstr_element_smaller(skc5,skc6,skf6(skc6,skc5)) ),
inference(res,[status(thm),theory(equality)],[32,112]),
[iquote('1:Res:32.1,112.0')] ).
cnf(117,plain,
~ relstr_element_smaller(skc5,skc6,skf6(skc6,skc5)),
inference(mrr,[status(thm)],[113,70,9]),
[iquote('1:MRR:113.0,113.1,70.0,9.0')] ).
cnf(119,plain,
( ~ rel_str(skc5)
| ~ ex_inf_of_relstr_set(skc5,skc6) ),
inference(res,[status(thm),theory(equality)],[15,117]),
[iquote('1:Res:15.2,117.0')] ).
cnf(121,plain,
~ ex_inf_of_relstr_set(skc5,skc6),
inference(ssi,[status(thm)],[119,1,2,33]),
[iquote('1:SSi:119.0,1.0,2.0,33.0')] ).
cnf(122,plain,
$false,
inference(mrr,[status(thm)],[121,70]),
[iquote('1:MRR:121.0,70.0')] ).
cnf(123,plain,
~ ex_inf_of_relstr_set(skc5,skc6),
inference(spt,[spt(split,[position(sa)])],[122,70]),
[iquote('1:Spt:122.0,17.2,70.0')] ).
cnf(124,plain,
( ~ element(u,the_carrier(skc5))
| ~ relstr_element_smaller(skc5,skc6,u)
| related(skc5,u,skc7) ),
inference(spt,[spt(split,[position(s2)])],[17]),
[iquote('1:Spt:122.0,17.0,17.1,17.3')] ).
cnf(126,plain,
relstr_element_smaller(skc5,skc6,skc7),
inference(mrr,[status(thm)],[10,123]),
[iquote('1:MRR:10.0,123.0')] ).
cnf(130,plain,
( ~ relstr_element_smaller(skc5,skc6,skf7(u,v,skc5))
| related(skc5,skf7(u,v,skc5),skc7) ),
inference(mrr,[status(thm)],[59,123]),
[iquote('1:MRR:59.1,123.0')] ).
cnf(134,plain,
( ~ element(skf8(skc7,u,skc5),the_carrier(skc5))
| ~ relstr_element_smaller(skc5,skc6,skf8(skc7,u,skc5))
| skP0(skc7,u,skc5) ),
inference(res,[status(thm),theory(equality)],[124,14]),
[iquote('1:Res:124.2,14.0')] ).
cnf(135,plain,
( ~ relstr_element_smaller(skc5,skc6,skf8(skc7,u,skc5))
| skP0(skc7,u,skc5) ),
inference(mrr,[status(thm)],[134,11]),
[iquote('1:MRR:134.0,11.0')] ).
cnf(140,plain,
( skP0(skc7,skc6,skc5)
| skP0(skc7,skc6,skc5) ),
inference(res,[status(thm),theory(equality)],[13,135]),
[iquote('1:Res:13.1,135.0')] ).
cnf(141,plain,
skP0(skc7,skc6,skc5),
inference(obv,[status(thm),theory(equality)],[140]),
[iquote('1:Obv:140.0')] ).
cnf(173,plain,
( ~ relstr_element_smaller(skc5,skc6,skf7(u,v,skc5))
| ~ related(skc5,skc7,skf7(u,v,skc5))
| equal(skf7(u,v,skc5),skc7) ),
inference(res,[status(thm),theory(equality)],[130,92]),
[iquote('1:Res:130.1,92.0')] ).
cnf(174,plain,
( ~ skP0(skc7,u,skc5)
| ~ relstr_element_smaller(skc5,u,skc7)
| ~ relstr_element_smaller(skc5,skc6,skf7(skc7,u,skc5))
| ex_inf_of_relstr_set(skc5,u)
| equal(skf7(skc7,u,skc5),skc7) ),
inference(res,[status(thm),theory(equality)],[107,173]),
[iquote('1:Res:107.3,173.1')] ).
cnf(175,plain,
( ~ skP0(skc7,u,skc5)
| ~ relstr_element_smaller(skc5,u,skc7)
| ~ relstr_element_smaller(skc5,skc6,skf7(skc7,u,skc5))
| ex_inf_of_relstr_set(skc5,u) ),
inference(mrr,[status(thm)],[174,63]),
[iquote('1:MRR:174.4,63.0')] ).
cnf(177,plain,
( ~ rel_str(skc5)
| ~ element(skc7,the_carrier(skc5))
| ~ skP0(skc7,skc6,skc5)
| ~ relstr_element_smaller(skc5,skc6,skc7)
| ~ skP0(skc7,skc6,skc5)
| ~ relstr_element_smaller(skc5,skc6,skc7)
| ex_inf_of_relstr_set(skc5,skc6)
| ex_inf_of_relstr_set(skc5,skc6) ),
inference(res,[status(thm),theory(equality)],[24,175]),
[iquote('1:Res:24.5,175.2')] ).
cnf(180,plain,
( ~ rel_str(skc5)
| ~ element(skc7,the_carrier(skc5))
| ~ skP0(skc7,skc6,skc5)
| ~ relstr_element_smaller(skc5,skc6,skc7)
| ex_inf_of_relstr_set(skc5,skc6) ),
inference(obv,[status(thm),theory(equality)],[177]),
[iquote('1:Obv:177.6')] ).
cnf(181,plain,
( ~ element(skc7,the_carrier(skc5))
| ~ skP0(skc7,skc6,skc5)
| ~ relstr_element_smaller(skc5,skc6,skc7)
| ex_inf_of_relstr_set(skc5,skc6) ),
inference(ssi,[status(thm)],[180,1,2,33]),
[iquote('1:SSi:180.0,1.0,2.0,33.0')] ).
cnf(182,plain,
$false,
inference(mrr,[status(thm)],[181,5,141,126,123]),
[iquote('1:MRR:181.0,181.1,181.2,181.3,5.0,141.0,126.0,123.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU357+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 20 11:46:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48
% 0.20/0.48 SPASS V 3.9
% 0.20/0.48 SPASS beiseite: Proof found.
% 0.20/0.48 % SZS status Theorem
% 0.20/0.48 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 SPASS derived 108 clauses, backtracked 12 clauses, performed 1 splits and kept 106 clauses.
% 0.20/0.48 SPASS allocated 97782 KBytes.
% 0.20/0.48 SPASS spent 0:00:00.11 on the problem.
% 0.20/0.48 0:00:00.04 for the input.
% 0.20/0.48 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.48 0:00:00.00 for inferences.
% 0.20/0.48 0:00:00.00 for the backtracking.
% 0.20/0.48 0:00:00.01 for the reduction.
% 0.20/0.48
% 0.20/0.48
% 0.20/0.48 Here is a proof with depth 5, length 61 :
% 0.20/0.48 % SZS output start Refutation
% See solution above
% 0.20/0.48 Formulae used in the proof : t16_yellow_0 existence_m1_subset_1 dt_l1_orders_2 d8_yellow_0 t25_orders_2
% 0.20/0.48
%------------------------------------------------------------------------------