TSTP Solution File: SWV567-1.013 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV567-1.013 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n006.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 : Wed Jul 20 21:44:19 EDT 2022
% Result : Unsatisfiable 72.87s 73.07s
% Output : Refutation 74.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 65
% Syntax : Number of clauses : 154 ( 126 unt; 28 nHn; 154 RR)
% Number of literals : 184 ( 0 equ; 36 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 64 ( 64 usr; 61 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(select(store(u,v,w),v),w),
file('SWV567-1.013.p',unknown),
[] ).
cnf(2,axiom,
( equal(u,v)
| equal(select(store(w,u,x),v),select(w,v)) ),
file('SWV567-1.013.p',unknown),
[] ).
cnf(538,axiom,
~ equal(s(s(s(s(s(s(s(s(s(s(s(u))))))))))),u),
file('SWV567-1.013.p',unknown),
[] ).
cnf(539,axiom,
~ equal(s(s(s(s(s(s(s(s(s(s(u)))))))))),u),
file('SWV567-1.013.p',unknown),
[] ).
cnf(540,axiom,
~ equal(s(s(s(s(s(s(s(s(s(u))))))))),u),
file('SWV567-1.013.p',unknown),
[] ).
cnf(541,axiom,
~ equal(s(s(s(s(s(s(s(s(u)))))))),u),
file('SWV567-1.013.p',unknown),
[] ).
cnf(542,axiom,
~ equal(s(s(s(s(s(s(s(u))))))),u),
file('SWV567-1.013.p',unknown),
[] ).
cnf(543,axiom,
~ equal(s(s(s(s(s(s(u)))))),u),
file('SWV567-1.013.p',unknown),
[] ).
cnf(544,axiom,
~ equal(s(s(s(s(s(u))))),u),
file('SWV567-1.013.p',unknown),
[] ).
cnf(545,axiom,
~ equal(s(s(s(s(u)))),u),
file('SWV567-1.013.p',unknown),
[] ).
cnf(546,axiom,
~ equal(s(s(s(u))),u),
file('SWV567-1.013.p',unknown),
[] ).
cnf(547,axiom,
~ equal(s(s(u)),u),
file('SWV567-1.013.p',unknown),
[] ).
cnf(548,axiom,
~ equal(s(u),u),
file('SWV567-1.013.p',unknown),
[] ).
cnf(549,axiom,
equal(store(earray_9,elem_10,elem_11),earray_12),
file('SWV567-1.013.p',unknown),
[] ).
cnf(550,axiom,
equal(store(earray_12,elem_13,elem_14),earray_15),
file('SWV567-1.013.p',unknown),
[] ).
cnf(551,axiom,
equal(store(earray_15,elem_16,elem_17),earray_18),
file('SWV567-1.013.p',unknown),
[] ).
cnf(552,axiom,
equal(store(earray_18,elem_19,elem_20),earray_21),
file('SWV567-1.013.p',unknown),
[] ).
cnf(553,axiom,
equal(store(earray_21,elem_22,elem_23),earray_24),
file('SWV567-1.013.p',unknown),
[] ).
cnf(554,axiom,
equal(store(earray_24,elem_25,elem_26),earray_27),
file('SWV567-1.013.p',unknown),
[] ).
cnf(556,axiom,
equal(store(earray_27,elem_28,elem_29),earray_30),
file('SWV567-1.013.p',unknown),
[] ).
cnf(557,axiom,
equal(store(earray_30,elem_31,elem_32),earray_33),
file('SWV567-1.013.p',unknown),
[] ).
cnf(558,axiom,
equal(store(earray_33,elem_34,elem_35),earray_36),
file('SWV567-1.013.p',unknown),
[] ).
cnf(559,axiom,
equal(store(earray_36,elem_37,elem_38),earray_39),
file('SWV567-1.013.p',unknown),
[] ).
cnf(569,axiom,
equal(store(earray_3,elem_4,elem_5),earray_6),
file('SWV567-1.013.p',unknown),
[] ).
cnf(571,axiom,
equal(store(earray_60,elem_4,elem_61),earray_62),
file('SWV567-1.013.p',unknown),
[] ).
cnf(572,axiom,
equal(store(earray_62,elem_0,elem_63),earray_64),
file('SWV567-1.013.p',unknown),
[] ).
cnf(573,axiom,
equal(store(earray_64,i,elem_65),earray_66),
file('SWV567-1.013.p',unknown),
[] ).
cnf(574,axiom,
equal(store(earray_6,elem_7,elem_8),earray_9),
file('SWV567-1.013.p',unknown),
[] ).
cnf(575,axiom,
equal(s(i),elem_0),
file('SWV567-1.013.p',unknown),
[] ).
cnf(577,axiom,
equal(s(elem_7),elem_10),
file('SWV567-1.013.p',unknown),
[] ).
cnf(578,axiom,
equal(s(elem_8),elem_11),
file('SWV567-1.013.p',unknown),
[] ).
cnf(579,axiom,
equal(s(elem_10),elem_13),
file('SWV567-1.013.p',unknown),
[] ).
cnf(580,axiom,
equal(s(elem_11),elem_14),
file('SWV567-1.013.p',unknown),
[] ).
cnf(581,axiom,
equal(s(elem_13),elem_16),
file('SWV567-1.013.p',unknown),
[] ).
cnf(582,axiom,
equal(s(elem_14),elem_17),
file('SWV567-1.013.p',unknown),
[] ).
cnf(583,axiom,
equal(s(elem_16),elem_19),
file('SWV567-1.013.p',unknown),
[] ).
cnf(585,axiom,
equal(s(elem_17),elem_20),
file('SWV567-1.013.p',unknown),
[] ).
cnf(586,axiom,
equal(s(elem_19),elem_22),
file('SWV567-1.013.p',unknown),
[] ).
cnf(587,axiom,
equal(s(elem_20),elem_23),
file('SWV567-1.013.p',unknown),
[] ).
cnf(588,axiom,
equal(s(elem_22),elem_25),
file('SWV567-1.013.p',unknown),
[] ).
cnf(589,axiom,
equal(s(elem_23),elem_26),
file('SWV567-1.013.p',unknown),
[] ).
cnf(590,axiom,
equal(s(elem_25),elem_28),
file('SWV567-1.013.p',unknown),
[] ).
cnf(591,axiom,
equal(s(elem_26),elem_29),
file('SWV567-1.013.p',unknown),
[] ).
cnf(592,axiom,
equal(s(elem_28),elem_31),
file('SWV567-1.013.p',unknown),
[] ).
cnf(593,axiom,
equal(s(elem_29),elem_32),
file('SWV567-1.013.p',unknown),
[] ).
cnf(594,axiom,
equal(s(elem_31),elem_34),
file('SWV567-1.013.p',unknown),
[] ).
cnf(595,axiom,
equal(s(elem_32),elem_35),
file('SWV567-1.013.p',unknown),
[] ).
cnf(596,axiom,
equal(s(elem_34),elem_37),
file('SWV567-1.013.p',unknown),
[] ).
cnf(597,axiom,
equal(s(elem_35),elem_38),
file('SWV567-1.013.p',unknown),
[] ).
cnf(598,axiom,
equal(s(elem_0),elem_4),
file('SWV567-1.013.p',unknown),
[] ).
cnf(600,axiom,
equal(s(elem_41),elem_40),
file('SWV567-1.013.p',unknown),
[] ).
cnf(601,axiom,
equal(s(elem_43),elem_41),
file('SWV567-1.013.p',unknown),
[] ).
cnf(602,axiom,
equal(s(elem_45),elem_43),
file('SWV567-1.013.p',unknown),
[] ).
cnf(603,axiom,
equal(s(elem_47),elem_45),
file('SWV567-1.013.p',unknown),
[] ).
cnf(604,axiom,
equal(s(elem_49),elem_47),
file('SWV567-1.013.p',unknown),
[] ).
cnf(606,axiom,
equal(s(elem_51),elem_49),
file('SWV567-1.013.p',unknown),
[] ).
cnf(607,axiom,
equal(s(elem_53),elem_51),
file('SWV567-1.013.p',unknown),
[] ).
cnf(608,axiom,
equal(s(elem_55),elem_53),
file('SWV567-1.013.p',unknown),
[] ).
cnf(609,axiom,
equal(s(elem_57),elem_55),
file('SWV567-1.013.p',unknown),
[] ).
cnf(610,axiom,
equal(s(elem_59),elem_57),
file('SWV567-1.013.p',unknown),
[] ).
cnf(611,axiom,
equal(s(elem_61),elem_59),
file('SWV567-1.013.p',unknown),
[] ).
cnf(614,axiom,
equal(s(elem_4),elem_7),
file('SWV567-1.013.p',unknown),
[] ).
cnf(615,axiom,
equal(s(elem_5),elem_8),
file('SWV567-1.013.p',unknown),
[] ).
cnf(616,axiom,
equal(earray_66,earray_39),
file('SWV567-1.013.p',unknown),
[] ).
cnf(617,axiom,
~ equal(elem_40,elem_38),
file('SWV567-1.013.p',unknown),
[] ).
cnf(618,plain,
equal(store(earray_64,i,elem_65),earray_39),
inference(rew,[status(thm),theory(equality)],[616,573]),
[iquote('0:Rew:616.0,573.0')] ).
cnf(664,plain,
~ equal(elem_7,elem_4),
inference(spl,[status(thm),theory(equality)],[614,548]),
[iquote('0:SpL:614.0,548.0')] ).
cnf(679,plain,
~ equal(elem_4,elem_0),
inference(spl,[status(thm),theory(equality)],[598,548]),
[iquote('0:SpL:598.0,548.0')] ).
cnf(729,plain,
~ equal(s(elem_7),elem_4),
inference(spl,[status(thm),theory(equality)],[614,547]),
[iquote('0:SpL:614.0,547.0')] ).
cnf(766,plain,
~ equal(s(elem_0),i),
inference(spl,[status(thm),theory(equality)],[575,547]),
[iquote('0:SpL:575.0,547.0')] ).
cnf(768,plain,
~ equal(elem_4,elem_10),
inference(rew,[status(thm),theory(equality)],[577,729]),
[iquote('0:Rew:577.0,729.0')] ).
cnf(802,plain,
~ equal(i,elem_4),
inference(rew,[status(thm),theory(equality)],[598,766]),
[iquote('0:Rew:598.0,766.0')] ).
cnf(804,plain,
~ equal(s(s(elem_7)),elem_4),
inference(spl,[status(thm),theory(equality)],[614,546]),
[iquote('0:SpL:614.0,546.0')] ).
cnf(843,plain,
~ equal(elem_4,elem_13),
inference(rew,[status(thm),theory(equality)],[579,804,577]),
[iquote('0:Rew:579.0,804.0,577.0,804.0')] ).
cnf(879,plain,
~ equal(s(s(s(elem_7))),elem_4),
inference(spl,[status(thm),theory(equality)],[614,545]),
[iquote('0:SpL:614.0,545.0')] ).
cnf(918,plain,
~ equal(elem_4,elem_16),
inference(rew,[status(thm),theory(equality)],[581,879,579,577]),
[iquote('0:Rew:581.0,879.0,579.0,879.0,577.0,879.0')] ).
cnf(959,plain,
equal(select(earray_62,elem_4),elem_61),
inference(spr,[status(thm),theory(equality)],[571,1]),
[iquote('0:SpR:571.0,1.0')] ).
cnf(960,plain,
equal(select(earray_6,elem_4),elem_5),
inference(spr,[status(thm),theory(equality)],[569,1]),
[iquote('0:SpR:569.0,1.0')] ).
cnf(981,plain,
~ equal(s(s(s(s(elem_7)))),elem_4),
inference(spl,[status(thm),theory(equality)],[614,544]),
[iquote('0:SpL:614.0,544.0')] ).
cnf(1020,plain,
~ equal(elem_4,elem_19),
inference(rew,[status(thm),theory(equality)],[583,981,581,579,577]),
[iquote('0:Rew:583.0,981.0,581.0,981.0,579.0,981.0,577.0,981.0')] ).
cnf(1056,plain,
~ equal(s(s(s(s(s(elem_7))))),elem_4),
inference(spl,[status(thm),theory(equality)],[614,543]),
[iquote('0:SpL:614.0,543.0')] ).
cnf(1095,plain,
~ equal(elem_4,elem_22),
inference(rew,[status(thm),theory(equality)],[586,1056,583,581,579,577]),
[iquote('0:Rew:586.0,1056.0,583.0,1056.0,581.0,1056.0,579.0,1056.0,577.0,1056.0')] ).
cnf(1131,plain,
~ equal(s(s(s(s(s(s(elem_7)))))),elem_4),
inference(spl,[status(thm),theory(equality)],[614,542]),
[iquote('0:SpL:614.0,542.0')] ).
cnf(1170,plain,
~ equal(elem_4,elem_25),
inference(rew,[status(thm),theory(equality)],[588,1131,586,583,581,579,577]),
[iquote('0:Rew:588.0,1131.0,586.0,1131.0,583.0,1131.0,581.0,1131.0,579.0,1131.0,577.0,1131.0')] ).
cnf(1206,plain,
~ equal(s(s(s(s(s(s(s(elem_7))))))),elem_4),
inference(spl,[status(thm),theory(equality)],[614,541]),
[iquote('0:SpL:614.0,541.0')] ).
cnf(1245,plain,
~ equal(elem_4,elem_28),
inference(rew,[status(thm),theory(equality)],[590,1206,588,586,583,581,579,577]),
[iquote('0:Rew:590.0,1206.0,588.0,1206.0,586.0,1206.0,583.0,1206.0,581.0,1206.0,579.0,1206.0,577.0,1206.0')] ).
cnf(1281,plain,
~ equal(s(s(s(s(s(s(s(s(elem_7)))))))),elem_4),
inference(spl,[status(thm),theory(equality)],[614,540]),
[iquote('0:SpL:614.0,540.0')] ).
cnf(1320,plain,
~ equal(elem_4,elem_31),
inference(rew,[status(thm),theory(equality)],[592,1281,590,588,586,583,581,579,577]),
[iquote('0:Rew:592.0,1281.0,590.0,1281.0,588.0,1281.0,586.0,1281.0,583.0,1281.0,581.0,1281.0,579.0,1281.0,577.0,1281.0')] ).
cnf(1357,plain,
( equal(elem_7,u)
| equal(select(earray_6,u),select(earray_9,u)) ),
inference(spr,[status(thm),theory(equality)],[574,2]),
[iquote('0:SpR:574.0,2.1')] ).
cnf(1359,plain,
( equal(i,u)
| equal(select(earray_64,u),select(earray_39,u)) ),
inference(spr,[status(thm),theory(equality)],[618,2]),
[iquote('0:SpR:618.0,2.1')] ).
cnf(1360,plain,
( equal(elem_0,u)
| equal(select(earray_64,u),select(earray_62,u)) ),
inference(spr,[status(thm),theory(equality)],[572,2]),
[iquote('0:SpR:572.0,2.1')] ).
cnf(1365,plain,
( equal(elem_10,u)
| equal(select(earray_9,u),select(earray_12,u)) ),
inference(spr,[status(thm),theory(equality)],[549,2]),
[iquote('0:SpR:549.0,2.1')] ).
cnf(1367,plain,
( equal(elem_13,u)
| equal(select(earray_15,u),select(earray_12,u)) ),
inference(spr,[status(thm),theory(equality)],[550,2]),
[iquote('0:SpR:550.0,2.1')] ).
cnf(1369,plain,
( equal(elem_16,u)
| equal(select(earray_18,u),select(earray_15,u)) ),
inference(spr,[status(thm),theory(equality)],[551,2]),
[iquote('0:SpR:551.0,2.1')] ).
cnf(1371,plain,
( equal(elem_19,u)
| equal(select(earray_21,u),select(earray_18,u)) ),
inference(spr,[status(thm),theory(equality)],[552,2]),
[iquote('0:SpR:552.0,2.1')] ).
cnf(1373,plain,
( equal(elem_22,u)
| equal(select(earray_24,u),select(earray_21,u)) ),
inference(spr,[status(thm),theory(equality)],[553,2]),
[iquote('0:SpR:553.0,2.1')] ).
cnf(1375,plain,
( equal(elem_25,u)
| equal(select(earray_27,u),select(earray_24,u)) ),
inference(spr,[status(thm),theory(equality)],[554,2]),
[iquote('0:SpR:554.0,2.1')] ).
cnf(1377,plain,
( equal(elem_28,u)
| equal(select(earray_30,u),select(earray_27,u)) ),
inference(spr,[status(thm),theory(equality)],[556,2]),
[iquote('0:SpR:556.0,2.1')] ).
cnf(1379,plain,
( equal(elem_31,u)
| equal(select(earray_33,u),select(earray_30,u)) ),
inference(spr,[status(thm),theory(equality)],[557,2]),
[iquote('0:SpR:557.0,2.1')] ).
cnf(1381,plain,
( equal(elem_34,u)
| equal(select(earray_36,u),select(earray_33,u)) ),
inference(spr,[status(thm),theory(equality)],[558,2]),
[iquote('0:SpR:558.0,2.1')] ).
cnf(1382,plain,
( equal(elem_37,u)
| equal(select(earray_39,u),select(earray_36,u)) ),
inference(spr,[status(thm),theory(equality)],[559,2]),
[iquote('0:SpR:559.0,2.1')] ).
cnf(1384,plain,
~ equal(s(s(s(s(s(s(s(s(s(elem_7))))))))),elem_4),
inference(spl,[status(thm),theory(equality)],[614,539]),
[iquote('0:SpL:614.0,539.0')] ).
cnf(1423,plain,
~ equal(elem_4,elem_34),
inference(rew,[status(thm),theory(equality)],[594,1384,592,590,588,586,583,581,579,577]),
[iquote('0:Rew:594.0,1384.0,592.0,1384.0,590.0,1384.0,588.0,1384.0,586.0,1384.0,583.0,1384.0,581.0,1384.0,579.0,1384.0,577.0,1384.0')] ).
cnf(1459,plain,
~ equal(s(s(s(s(s(s(s(s(s(s(elem_7)))))))))),elem_4),
inference(spl,[status(thm),theory(equality)],[614,538]),
[iquote('0:SpL:614.0,538.0')] ).
cnf(1498,plain,
~ equal(elem_4,elem_37),
inference(rew,[status(thm),theory(equality)],[596,1459,594,592,590,588,586,583,581,579,577]),
[iquote('0:Rew:596.0,1459.0,594.0,1459.0,592.0,1459.0,590.0,1459.0,588.0,1459.0,586.0,1459.0,583.0,1459.0,581.0,1459.0,579.0,1459.0,577.0,1459.0')] ).
cnf(10038,plain,
( equal(elem_7,elem_4)
| equal(select(earray_9,elem_4),elem_5) ),
inference(spr,[status(thm),theory(equality)],[1357,960]),
[iquote('0:SpR:1357.1,960.0')] ).
cnf(10040,plain,
equal(select(earray_9,elem_4),elem_5),
inference(mrr,[status(thm)],[10038,664]),
[iquote('0:MRR:10038.0,664.0')] ).
cnf(10124,plain,
( equal(elem_0,u)
| equal(i,u)
| equal(select(earray_62,u),select(earray_39,u)) ),
inference(spr,[status(thm),theory(equality)],[1360,1359]),
[iquote('0:SpR:1360.1,1359.1')] ).
cnf(10291,plain,
( equal(elem_4,elem_10)
| equal(select(earray_12,elem_4),elem_5) ),
inference(spr,[status(thm),theory(equality)],[1365,10040]),
[iquote('0:SpR:1365.1,10040.0')] ).
cnf(10294,plain,
equal(select(earray_12,elem_4),elem_5),
inference(mrr,[status(thm)],[10291,768]),
[iquote('0:MRR:10291.0,768.0')] ).
cnf(13235,plain,
( equal(elem_4,elem_0)
| equal(i,elem_4)
| equal(select(earray_39,elem_4),elem_61) ),
inference(spr,[status(thm),theory(equality)],[10124,959]),
[iquote('0:SpR:10124.2,959.0')] ).
cnf(13238,plain,
equal(select(earray_39,elem_4),elem_61),
inference(mrr,[status(thm)],[13235,679,802]),
[iquote('0:MRR:13235.0,13235.1,679.0,802.0')] ).
cnf(13315,plain,
( equal(elem_4,elem_37)
| equal(select(earray_36,elem_4),elem_61) ),
inference(spr,[status(thm),theory(equality)],[13238,1382]),
[iquote('0:SpR:13238.0,1382.1')] ).
cnf(13316,plain,
equal(select(earray_36,elem_4),elem_61),
inference(mrr,[status(thm)],[13315,1498]),
[iquote('0:MRR:13315.0,1498.0')] ).
cnf(13318,plain,
( equal(elem_4,elem_34)
| equal(select(earray_33,elem_4),elem_61) ),
inference(spr,[status(thm),theory(equality)],[13316,1381]),
[iquote('0:SpR:13316.0,1381.1')] ).
cnf(13319,plain,
equal(select(earray_33,elem_4),elem_61),
inference(mrr,[status(thm)],[13318,1423]),
[iquote('0:MRR:13318.0,1423.0')] ).
cnf(13321,plain,
( equal(elem_4,elem_31)
| equal(select(earray_30,elem_4),elem_61) ),
inference(spr,[status(thm),theory(equality)],[13319,1379]),
[iquote('0:SpR:13319.0,1379.1')] ).
cnf(13322,plain,
equal(select(earray_30,elem_4),elem_61),
inference(mrr,[status(thm)],[13321,1320]),
[iquote('0:MRR:13321.0,1320.0')] ).
cnf(13324,plain,
( equal(elem_4,elem_28)
| equal(select(earray_27,elem_4),elem_61) ),
inference(spr,[status(thm),theory(equality)],[13322,1377]),
[iquote('0:SpR:13322.0,1377.1')] ).
cnf(13325,plain,
equal(select(earray_27,elem_4),elem_61),
inference(mrr,[status(thm)],[13324,1245]),
[iquote('0:MRR:13324.0,1245.0')] ).
cnf(13402,plain,
( equal(elem_4,elem_25)
| equal(select(earray_24,elem_4),elem_61) ),
inference(spr,[status(thm),theory(equality)],[13325,1375]),
[iquote('0:SpR:13325.0,1375.1')] ).
cnf(13403,plain,
equal(select(earray_24,elem_4),elem_61),
inference(mrr,[status(thm)],[13402,1170]),
[iquote('0:MRR:13402.0,1170.0')] ).
cnf(13405,plain,
( equal(elem_4,elem_22)
| equal(select(earray_21,elem_4),elem_61) ),
inference(spr,[status(thm),theory(equality)],[13403,1373]),
[iquote('0:SpR:13403.0,1373.1')] ).
cnf(13406,plain,
equal(select(earray_21,elem_4),elem_61),
inference(mrr,[status(thm)],[13405,1095]),
[iquote('0:MRR:13405.0,1095.0')] ).
cnf(13408,plain,
( equal(elem_4,elem_19)
| equal(select(earray_18,elem_4),elem_61) ),
inference(spr,[status(thm),theory(equality)],[13406,1371]),
[iquote('0:SpR:13406.0,1371.1')] ).
cnf(13409,plain,
equal(select(earray_18,elem_4),elem_61),
inference(mrr,[status(thm)],[13408,1020]),
[iquote('0:MRR:13408.0,1020.0')] ).
cnf(13411,plain,
( equal(elem_4,elem_16)
| equal(select(earray_15,elem_4),elem_61) ),
inference(spr,[status(thm),theory(equality)],[13409,1369]),
[iquote('0:SpR:13409.0,1369.1')] ).
cnf(13412,plain,
equal(select(earray_15,elem_4),elem_61),
inference(mrr,[status(thm)],[13411,918]),
[iquote('0:MRR:13411.0,918.0')] ).
cnf(13489,plain,
( equal(elem_4,elem_13)
| equal(select(earray_12,elem_4),elem_61) ),
inference(spr,[status(thm),theory(equality)],[13412,1367]),
[iquote('0:SpR:13412.0,1367.1')] ).
cnf(13490,plain,
( equal(elem_4,elem_13)
| equal(elem_61,elem_5) ),
inference(rew,[status(thm),theory(equality)],[10294,13489]),
[iquote('0:Rew:10294.0,13489.1')] ).
cnf(13491,plain,
equal(elem_61,elem_5),
inference(mrr,[status(thm)],[13490,843]),
[iquote('0:MRR:13490.0,843.0')] ).
cnf(13493,plain,
equal(s(elem_5),elem_59),
inference(rew,[status(thm),theory(equality)],[13491,611]),
[iquote('0:Rew:13491.0,611.0')] ).
cnf(13675,plain,
equal(elem_8,elem_59),
inference(rew,[status(thm),theory(equality)],[615,13493]),
[iquote('0:Rew:615.0,13493.0')] ).
cnf(13677,plain,
equal(s(elem_59),elem_11),
inference(rew,[status(thm),theory(equality)],[13675,578]),
[iquote('0:Rew:13675.0,578.0')] ).
cnf(13852,plain,
equal(elem_57,elem_11),
inference(rew,[status(thm),theory(equality)],[610,13677]),
[iquote('0:Rew:610.0,13677.0')] ).
cnf(13854,plain,
equal(s(elem_11),elem_55),
inference(rew,[status(thm),theory(equality)],[13852,609]),
[iquote('0:Rew:13852.0,609.0')] ).
cnf(14029,plain,
equal(elem_55,elem_14),
inference(rew,[status(thm),theory(equality)],[580,13854]),
[iquote('0:Rew:580.0,13854.0')] ).
cnf(14030,plain,
equal(s(elem_14),elem_53),
inference(rew,[status(thm),theory(equality)],[14029,608]),
[iquote('0:Rew:14029.0,608.0')] ).
cnf(14206,plain,
equal(elem_53,elem_17),
inference(rew,[status(thm),theory(equality)],[582,14030]),
[iquote('0:Rew:582.0,14030.0')] ).
cnf(14207,plain,
equal(s(elem_17),elem_51),
inference(rew,[status(thm),theory(equality)],[14206,607]),
[iquote('0:Rew:14206.0,607.0')] ).
cnf(14384,plain,
equal(elem_51,elem_20),
inference(rew,[status(thm),theory(equality)],[585,14207]),
[iquote('0:Rew:585.0,14207.0')] ).
cnf(14385,plain,
equal(s(elem_20),elem_49),
inference(rew,[status(thm),theory(equality)],[14384,606]),
[iquote('0:Rew:14384.0,606.0')] ).
cnf(14563,plain,
equal(elem_49,elem_23),
inference(rew,[status(thm),theory(equality)],[587,14385]),
[iquote('0:Rew:587.0,14385.0')] ).
cnf(14564,plain,
equal(s(elem_23),elem_47),
inference(rew,[status(thm),theory(equality)],[14563,604]),
[iquote('0:Rew:14563.0,604.0')] ).
cnf(14743,plain,
equal(elem_47,elem_26),
inference(rew,[status(thm),theory(equality)],[589,14564]),
[iquote('0:Rew:589.0,14564.0')] ).
cnf(14744,plain,
equal(s(elem_26),elem_45),
inference(rew,[status(thm),theory(equality)],[14743,603]),
[iquote('0:Rew:14743.0,603.0')] ).
cnf(14924,plain,
equal(elem_45,elem_29),
inference(rew,[status(thm),theory(equality)],[591,14744]),
[iquote('0:Rew:591.0,14744.0')] ).
cnf(14925,plain,
equal(s(elem_29),elem_43),
inference(rew,[status(thm),theory(equality)],[14924,602]),
[iquote('0:Rew:14924.0,602.0')] ).
cnf(15106,plain,
equal(elem_43,elem_32),
inference(rew,[status(thm),theory(equality)],[593,14925]),
[iquote('0:Rew:593.0,14925.0')] ).
cnf(15107,plain,
equal(s(elem_32),elem_41),
inference(rew,[status(thm),theory(equality)],[15106,601]),
[iquote('0:Rew:15106.0,601.0')] ).
cnf(15289,plain,
equal(elem_41,elem_35),
inference(rew,[status(thm),theory(equality)],[595,15107]),
[iquote('0:Rew:595.0,15107.0')] ).
cnf(15290,plain,
equal(s(elem_35),elem_40),
inference(rew,[status(thm),theory(equality)],[15289,600]),
[iquote('0:Rew:15289.0,600.0')] ).
cnf(15473,plain,
equal(elem_40,elem_38),
inference(rew,[status(thm),theory(equality)],[597,15290]),
[iquote('0:Rew:597.0,15290.0')] ).
cnf(15474,plain,
$false,
inference(mrr,[status(thm)],[15473,617]),
[iquote('0:MRR:15473.0,617.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWV567-1.013 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n006.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 : Thu Jun 16 05:16:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 72.87/73.07
% 72.87/73.07 SPASS V 3.9
% 72.87/73.07 SPASS beiseite: Proof found.
% 72.87/73.07 % SZS status Theorem
% 72.87/73.07 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 72.87/73.07 SPASS derived 8789 clauses, backtracked 0 clauses, performed 0 splits and kept 9168 clauses.
% 72.87/73.07 SPASS allocated 84854 KBytes.
% 72.87/73.07 SPASS spent 0:1:12.70 on the problem.
% 72.87/73.07 0:00:00.14 for the input.
% 72.87/73.07 0:00:00.00 for the FLOTTER CNF translation.
% 72.87/73.07 0:00:01.32 for inferences.
% 72.87/73.07 0:00:00.00 for the backtracking.
% 72.87/73.07 0:1:10.92 for the reduction.
% 72.87/73.07
% 72.87/73.07
% 72.87/73.07 Here is a proof with depth 12, length 154 :
% 72.87/73.07 % SZS output start Refutation
% See solution above
% 74.05/74.22 Formulae used in the proof : a1 a2 as11 as10 as9 as8 as7 as6 as5 as4 as3 as2 as1 hyp0 hyp1 hyp2 hyp3 hyp4 hyp5 hyp7 hyp8 hyp9 hyp10 hyp20 hyp22 hyp23 hyp24 hyp25 hyp26 hyp28 hyp29 hyp30 hyp31 hyp32 hyp33 hyp34 hyp36 hyp37 hyp38 hyp39 hyp40 hyp41 hyp42 hyp43 hyp44 hyp45 hyp46 hyp47 hyp48 hyp49 hyp51 hyp52 hyp53 hyp54 hyp55 hyp57 hyp58 hyp59 hyp60 hyp61 hyp62 hyp65 hyp66 hyp67 goal
% 74.05/74.22
%------------------------------------------------------------------------------