TSTP Solution File: SWV567-1.014 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV567-1.014 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 119.31s 119.49s
% Output : Refutation 121.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 70
% Syntax : Number of clauses : 166 ( 136 unt; 30 nHn; 166 RR)
% Number of literals : 198 ( 0 equ; 39 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 68 ( 68 usr; 65 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(select(store(u,v,w),v),w),
file('SWV567-1.014.p',unknown),
[] ).
cnf(2,axiom,
( equal(u,v)
| equal(select(store(w,u,x),v),select(w,v)) ),
file('SWV567-1.014.p',unknown),
[] ).
cnf(621,axiom,
~ equal(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))),u),
file('SWV567-1.014.p',unknown),
[] ).
cnf(622,axiom,
~ equal(s(s(s(s(s(s(s(s(s(s(s(u))))))))))),u),
file('SWV567-1.014.p',unknown),
[] ).
cnf(623,axiom,
~ equal(s(s(s(s(s(s(s(s(s(s(u)))))))))),u),
file('SWV567-1.014.p',unknown),
[] ).
cnf(624,axiom,
~ equal(s(s(s(s(s(s(s(s(s(u))))))))),u),
file('SWV567-1.014.p',unknown),
[] ).
cnf(625,axiom,
~ equal(s(s(s(s(s(s(s(s(u)))))))),u),
file('SWV567-1.014.p',unknown),
[] ).
cnf(626,axiom,
~ equal(s(s(s(s(s(s(s(u))))))),u),
file('SWV567-1.014.p',unknown),
[] ).
cnf(627,axiom,
~ equal(s(s(s(s(s(s(u)))))),u),
file('SWV567-1.014.p',unknown),
[] ).
cnf(628,axiom,
~ equal(s(s(s(s(s(u))))),u),
file('SWV567-1.014.p',unknown),
[] ).
cnf(629,axiom,
~ equal(s(s(s(s(u)))),u),
file('SWV567-1.014.p',unknown),
[] ).
cnf(630,axiom,
~ equal(s(s(s(u))),u),
file('SWV567-1.014.p',unknown),
[] ).
cnf(631,axiom,
~ equal(s(s(u)),u),
file('SWV567-1.014.p',unknown),
[] ).
cnf(632,axiom,
~ equal(s(u),u),
file('SWV567-1.014.p',unknown),
[] ).
cnf(633,axiom,
equal(store(earray_9,elem_10,elem_11),earray_12),
file('SWV567-1.014.p',unknown),
[] ).
cnf(634,axiom,
equal(store(earray_12,elem_13,elem_14),earray_15),
file('SWV567-1.014.p',unknown),
[] ).
cnf(635,axiom,
equal(store(earray_15,elem_16,elem_17),earray_18),
file('SWV567-1.014.p',unknown),
[] ).
cnf(636,axiom,
equal(store(earray_18,elem_19,elem_20),earray_21),
file('SWV567-1.014.p',unknown),
[] ).
cnf(637,axiom,
equal(store(earray_21,elem_22,elem_23),earray_24),
file('SWV567-1.014.p',unknown),
[] ).
cnf(638,axiom,
equal(store(earray_24,elem_25,elem_26),earray_27),
file('SWV567-1.014.p',unknown),
[] ).
cnf(640,axiom,
equal(store(earray_27,elem_28,elem_29),earray_30),
file('SWV567-1.014.p',unknown),
[] ).
cnf(641,axiom,
equal(store(earray_30,elem_31,elem_32),earray_33),
file('SWV567-1.014.p',unknown),
[] ).
cnf(642,axiom,
equal(store(earray_33,elem_34,elem_35),earray_36),
file('SWV567-1.014.p',unknown),
[] ).
cnf(643,axiom,
equal(store(earray_36,elem_37,elem_38),earray_39),
file('SWV567-1.014.p',unknown),
[] ).
cnf(644,axiom,
equal(store(earray_39,elem_40,elem_41),earray_42),
file('SWV567-1.014.p',unknown),
[] ).
cnf(653,axiom,
equal(store(earray_3,elem_4,elem_5),earray_6),
file('SWV567-1.014.p',unknown),
[] ).
cnf(657,axiom,
equal(store(earray_65,elem_4,elem_66),earray_67),
file('SWV567-1.014.p',unknown),
[] ).
cnf(658,axiom,
equal(store(earray_67,elem_0,elem_68),earray_69),
file('SWV567-1.014.p',unknown),
[] ).
cnf(659,axiom,
equal(store(earray_69,i,elem_70),earray_71),
file('SWV567-1.014.p',unknown),
[] ).
cnf(660,axiom,
equal(store(earray_6,elem_7,elem_8),earray_9),
file('SWV567-1.014.p',unknown),
[] ).
cnf(661,axiom,
equal(s(i),elem_0),
file('SWV567-1.014.p',unknown),
[] ).
cnf(663,axiom,
equal(s(elem_7),elem_10),
file('SWV567-1.014.p',unknown),
[] ).
cnf(664,axiom,
equal(s(elem_8),elem_11),
file('SWV567-1.014.p',unknown),
[] ).
cnf(665,axiom,
equal(s(elem_10),elem_13),
file('SWV567-1.014.p',unknown),
[] ).
cnf(666,axiom,
equal(s(elem_11),elem_14),
file('SWV567-1.014.p',unknown),
[] ).
cnf(667,axiom,
equal(s(elem_13),elem_16),
file('SWV567-1.014.p',unknown),
[] ).
cnf(668,axiom,
equal(s(elem_14),elem_17),
file('SWV567-1.014.p',unknown),
[] ).
cnf(669,axiom,
equal(s(elem_16),elem_19),
file('SWV567-1.014.p',unknown),
[] ).
cnf(671,axiom,
equal(s(elem_17),elem_20),
file('SWV567-1.014.p',unknown),
[] ).
cnf(672,axiom,
equal(s(elem_19),elem_22),
file('SWV567-1.014.p',unknown),
[] ).
cnf(673,axiom,
equal(s(elem_20),elem_23),
file('SWV567-1.014.p',unknown),
[] ).
cnf(674,axiom,
equal(s(elem_22),elem_25),
file('SWV567-1.014.p',unknown),
[] ).
cnf(675,axiom,
equal(s(elem_23),elem_26),
file('SWV567-1.014.p',unknown),
[] ).
cnf(676,axiom,
equal(s(elem_25),elem_28),
file('SWV567-1.014.p',unknown),
[] ).
cnf(677,axiom,
equal(s(elem_26),elem_29),
file('SWV567-1.014.p',unknown),
[] ).
cnf(678,axiom,
equal(s(elem_28),elem_31),
file('SWV567-1.014.p',unknown),
[] ).
cnf(679,axiom,
equal(s(elem_29),elem_32),
file('SWV567-1.014.p',unknown),
[] ).
cnf(680,axiom,
equal(s(elem_31),elem_34),
file('SWV567-1.014.p',unknown),
[] ).
cnf(681,axiom,
equal(s(elem_32),elem_35),
file('SWV567-1.014.p',unknown),
[] ).
cnf(682,axiom,
equal(s(elem_34),elem_37),
file('SWV567-1.014.p',unknown),
[] ).
cnf(683,axiom,
equal(s(elem_35),elem_38),
file('SWV567-1.014.p',unknown),
[] ).
cnf(684,axiom,
equal(s(elem_0),elem_4),
file('SWV567-1.014.p',unknown),
[] ).
cnf(685,axiom,
equal(s(elem_37),elem_40),
file('SWV567-1.014.p',unknown),
[] ).
cnf(686,axiom,
equal(s(elem_38),elem_41),
file('SWV567-1.014.p',unknown),
[] ).
cnf(688,axiom,
equal(s(elem_44),elem_43),
file('SWV567-1.014.p',unknown),
[] ).
cnf(689,axiom,
equal(s(elem_46),elem_44),
file('SWV567-1.014.p',unknown),
[] ).
cnf(690,axiom,
equal(s(elem_48),elem_46),
file('SWV567-1.014.p',unknown),
[] ).
cnf(692,axiom,
equal(s(elem_50),elem_48),
file('SWV567-1.014.p',unknown),
[] ).
cnf(693,axiom,
equal(s(elem_52),elem_50),
file('SWV567-1.014.p',unknown),
[] ).
cnf(694,axiom,
equal(s(elem_54),elem_52),
file('SWV567-1.014.p',unknown),
[] ).
cnf(695,axiom,
equal(s(elem_56),elem_54),
file('SWV567-1.014.p',unknown),
[] ).
cnf(696,axiom,
equal(s(elem_58),elem_56),
file('SWV567-1.014.p',unknown),
[] ).
cnf(697,axiom,
equal(s(elem_60),elem_58),
file('SWV567-1.014.p',unknown),
[] ).
cnf(698,axiom,
equal(s(elem_62),elem_60),
file('SWV567-1.014.p',unknown),
[] ).
cnf(699,axiom,
equal(s(elem_64),elem_62),
file('SWV567-1.014.p',unknown),
[] ).
cnf(700,axiom,
equal(s(elem_66),elem_64),
file('SWV567-1.014.p',unknown),
[] ).
cnf(702,axiom,
equal(s(elem_4),elem_7),
file('SWV567-1.014.p',unknown),
[] ).
cnf(704,axiom,
equal(s(elem_5),elem_8),
file('SWV567-1.014.p',unknown),
[] ).
cnf(705,axiom,
equal(earray_71,earray_42),
file('SWV567-1.014.p',unknown),
[] ).
cnf(706,axiom,
~ equal(elem_43,elem_41),
file('SWV567-1.014.p',unknown),
[] ).
cnf(707,plain,
equal(store(earray_69,i,elem_70),earray_42),
inference(rew,[status(thm),theory(equality)],[705,659]),
[iquote('0:Rew:705.0,659.0')] ).
cnf(757,plain,
~ equal(elem_7,elem_4),
inference(spl,[status(thm),theory(equality)],[702,632]),
[iquote('0:SpL:702.0,632.0')] ).
cnf(774,plain,
~ equal(elem_4,elem_0),
inference(spl,[status(thm),theory(equality)],[684,632]),
[iquote('0:SpL:684.0,632.0')] ).
cnf(827,plain,
~ equal(s(elem_7),elem_4),
inference(spl,[status(thm),theory(equality)],[702,631]),
[iquote('0:SpL:702.0,631.0')] ).
cnf(866,plain,
~ equal(s(elem_0),i),
inference(spl,[status(thm),theory(equality)],[661,631]),
[iquote('0:SpL:661.0,631.0')] ).
cnf(869,plain,
~ equal(elem_4,elem_10),
inference(rew,[status(thm),theory(equality)],[663,827]),
[iquote('0:Rew:663.0,827.0')] ).
cnf(905,plain,
~ equal(i,elem_4),
inference(rew,[status(thm),theory(equality)],[684,866]),
[iquote('0:Rew:684.0,866.0')] ).
cnf(908,plain,
~ equal(s(s(elem_7)),elem_4),
inference(spl,[status(thm),theory(equality)],[702,630]),
[iquote('0:SpL:702.0,630.0')] ).
cnf(950,plain,
~ equal(elem_4,elem_13),
inference(rew,[status(thm),theory(equality)],[665,908,663]),
[iquote('0:Rew:665.0,908.0,663.0,908.0')] ).
cnf(989,plain,
~ equal(s(s(s(elem_7))),elem_4),
inference(spl,[status(thm),theory(equality)],[702,629]),
[iquote('0:SpL:702.0,629.0')] ).
cnf(1031,plain,
~ equal(elem_4,elem_16),
inference(rew,[status(thm),theory(equality)],[667,989,665,663]),
[iquote('0:Rew:667.0,989.0,665.0,989.0,663.0,989.0')] ).
cnf(1074,plain,
equal(select(earray_67,elem_4),elem_66),
inference(spr,[status(thm),theory(equality)],[657,1]),
[iquote('0:SpR:657.0,1.0')] ).
cnf(1075,plain,
equal(select(earray_6,elem_4),elem_5),
inference(spr,[status(thm),theory(equality)],[653,1]),
[iquote('0:SpR:653.0,1.0')] ).
cnf(1099,plain,
~ equal(s(s(s(s(elem_7)))),elem_4),
inference(spl,[status(thm),theory(equality)],[702,628]),
[iquote('0:SpL:702.0,628.0')] ).
cnf(1141,plain,
~ equal(elem_4,elem_19),
inference(rew,[status(thm),theory(equality)],[669,1099,667,665,663]),
[iquote('0:Rew:669.0,1099.0,667.0,1099.0,665.0,1099.0,663.0,1099.0')] ).
cnf(1180,plain,
~ equal(s(s(s(s(s(elem_7))))),elem_4),
inference(spl,[status(thm),theory(equality)],[702,627]),
[iquote('0:SpL:702.0,627.0')] ).
cnf(1222,plain,
~ equal(elem_4,elem_22),
inference(rew,[status(thm),theory(equality)],[672,1180,669,667,665,663]),
[iquote('0:Rew:672.0,1180.0,669.0,1180.0,667.0,1180.0,665.0,1180.0,663.0,1180.0')] ).
cnf(1261,plain,
~ equal(s(s(s(s(s(s(elem_7)))))),elem_4),
inference(spl,[status(thm),theory(equality)],[702,626]),
[iquote('0:SpL:702.0,626.0')] ).
cnf(1303,plain,
~ equal(elem_4,elem_25),
inference(rew,[status(thm),theory(equality)],[674,1261,672,669,667,665,663]),
[iquote('0:Rew:674.0,1261.0,672.0,1261.0,669.0,1261.0,667.0,1261.0,665.0,1261.0,663.0,1261.0')] ).
cnf(1342,plain,
~ equal(s(s(s(s(s(s(s(elem_7))))))),elem_4),
inference(spl,[status(thm),theory(equality)],[702,625]),
[iquote('0:SpL:702.0,625.0')] ).
cnf(1384,plain,
~ equal(elem_4,elem_28),
inference(rew,[status(thm),theory(equality)],[676,1342,674,672,669,667,665,663]),
[iquote('0:Rew:676.0,1342.0,674.0,1342.0,672.0,1342.0,669.0,1342.0,667.0,1342.0,665.0,1342.0,663.0,1342.0')] ).
cnf(1423,plain,
~ equal(s(s(s(s(s(s(s(s(elem_7)))))))),elem_4),
inference(spl,[status(thm),theory(equality)],[702,624]),
[iquote('0:SpL:702.0,624.0')] ).
cnf(1465,plain,
~ equal(elem_4,elem_31),
inference(rew,[status(thm),theory(equality)],[678,1423,676,674,672,669,667,665,663]),
[iquote('0:Rew:678.0,1423.0,676.0,1423.0,674.0,1423.0,672.0,1423.0,669.0,1423.0,667.0,1423.0,665.0,1423.0,663.0,1423.0')] ).
cnf(1504,plain,
( equal(elem_7,u)
| equal(select(earray_6,u),select(earray_9,u)) ),
inference(spr,[status(thm),theory(equality)],[660,2]),
[iquote('0:SpR:660.0,2.1')] ).
cnf(1506,plain,
( equal(i,u)
| equal(select(earray_69,u),select(earray_42,u)) ),
inference(spr,[status(thm),theory(equality)],[707,2]),
[iquote('0:SpR:707.0,2.1')] ).
cnf(1507,plain,
( equal(elem_0,u)
| equal(select(earray_69,u),select(earray_67,u)) ),
inference(spr,[status(thm),theory(equality)],[658,2]),
[iquote('0:SpR:658.0,2.1')] ).
cnf(1512,plain,
( equal(elem_10,u)
| equal(select(earray_9,u),select(earray_12,u)) ),
inference(spr,[status(thm),theory(equality)],[633,2]),
[iquote('0:SpR:633.0,2.1')] ).
cnf(1514,plain,
( equal(elem_13,u)
| equal(select(earray_15,u),select(earray_12,u)) ),
inference(spr,[status(thm),theory(equality)],[634,2]),
[iquote('0:SpR:634.0,2.1')] ).
cnf(1516,plain,
( equal(elem_16,u)
| equal(select(earray_18,u),select(earray_15,u)) ),
inference(spr,[status(thm),theory(equality)],[635,2]),
[iquote('0:SpR:635.0,2.1')] ).
cnf(1518,plain,
( equal(elem_19,u)
| equal(select(earray_21,u),select(earray_18,u)) ),
inference(spr,[status(thm),theory(equality)],[636,2]),
[iquote('0:SpR:636.0,2.1')] ).
cnf(1520,plain,
( equal(elem_22,u)
| equal(select(earray_24,u),select(earray_21,u)) ),
inference(spr,[status(thm),theory(equality)],[637,2]),
[iquote('0:SpR:637.0,2.1')] ).
cnf(1522,plain,
( equal(elem_25,u)
| equal(select(earray_27,u),select(earray_24,u)) ),
inference(spr,[status(thm),theory(equality)],[638,2]),
[iquote('0:SpR:638.0,2.1')] ).
cnf(1524,plain,
( equal(elem_28,u)
| equal(select(earray_30,u),select(earray_27,u)) ),
inference(spr,[status(thm),theory(equality)],[640,2]),
[iquote('0:SpR:640.0,2.1')] ).
cnf(1526,plain,
( equal(elem_31,u)
| equal(select(earray_33,u),select(earray_30,u)) ),
inference(spr,[status(thm),theory(equality)],[641,2]),
[iquote('0:SpR:641.0,2.1')] ).
cnf(1528,plain,
( equal(elem_34,u)
| equal(select(earray_36,u),select(earray_33,u)) ),
inference(spr,[status(thm),theory(equality)],[642,2]),
[iquote('0:SpR:642.0,2.1')] ).
cnf(1530,plain,
( equal(elem_37,u)
| equal(select(earray_39,u),select(earray_36,u)) ),
inference(spr,[status(thm),theory(equality)],[643,2]),
[iquote('0:SpR:643.0,2.1')] ).
cnf(1531,plain,
( equal(elem_40,u)
| equal(select(earray_42,u),select(earray_39,u)) ),
inference(spr,[status(thm),theory(equality)],[644,2]),
[iquote('0:SpR:644.0,2.1')] ).
cnf(1534,plain,
~ equal(s(s(s(s(s(s(s(s(s(elem_7))))))))),elem_4),
inference(spl,[status(thm),theory(equality)],[702,623]),
[iquote('0:SpL:702.0,623.0')] ).
cnf(1576,plain,
~ equal(elem_4,elem_34),
inference(rew,[status(thm),theory(equality)],[680,1534,678,676,674,672,669,667,665,663]),
[iquote('0:Rew:680.0,1534.0,678.0,1534.0,676.0,1534.0,674.0,1534.0,672.0,1534.0,669.0,1534.0,667.0,1534.0,665.0,1534.0,663.0,1534.0')] ).
cnf(1615,plain,
~ equal(s(s(s(s(s(s(s(s(s(s(elem_7)))))))))),elem_4),
inference(spl,[status(thm),theory(equality)],[702,622]),
[iquote('0:SpL:702.0,622.0')] ).
cnf(1657,plain,
~ equal(elem_4,elem_37),
inference(rew,[status(thm),theory(equality)],[682,1615,680,678,676,674,672,669,667,665,663]),
[iquote('0:Rew:682.0,1615.0,680.0,1615.0,678.0,1615.0,676.0,1615.0,674.0,1615.0,672.0,1615.0,669.0,1615.0,667.0,1615.0,665.0,1615.0,663.0,1615.0')] ).
cnf(1696,plain,
~ equal(s(s(s(s(s(s(s(s(s(s(s(elem_7))))))))))),elem_4),
inference(spl,[status(thm),theory(equality)],[702,621]),
[iquote('0:SpL:702.0,621.0')] ).
cnf(1738,plain,
~ equal(elem_4,elem_40),
inference(rew,[status(thm),theory(equality)],[685,1696,682,680,678,676,674,672,669,667,665,663]),
[iquote('0:Rew:685.0,1696.0,682.0,1696.0,680.0,1696.0,678.0,1696.0,676.0,1696.0,674.0,1696.0,672.0,1696.0,669.0,1696.0,667.0,1696.0,665.0,1696.0,663.0,1696.0')] ).
cnf(12094,plain,
( equal(elem_7,elem_4)
| equal(select(earray_9,elem_4),elem_5) ),
inference(spr,[status(thm),theory(equality)],[1504,1075]),
[iquote('0:SpR:1504.1,1075.0')] ).
cnf(12096,plain,
equal(select(earray_9,elem_4),elem_5),
inference(mrr,[status(thm)],[12094,757]),
[iquote('0:MRR:12094.0,757.0')] ).
cnf(12186,plain,
( equal(elem_0,u)
| equal(i,u)
| equal(select(earray_67,u),select(earray_42,u)) ),
inference(spr,[status(thm),theory(equality)],[1507,1506]),
[iquote('0:SpR:1507.1,1506.1')] ).
cnf(12365,plain,
( equal(elem_4,elem_10)
| equal(select(earray_12,elem_4),elem_5) ),
inference(spr,[status(thm),theory(equality)],[1512,12096]),
[iquote('0:SpR:1512.1,12096.0')] ).
cnf(12368,plain,
equal(select(earray_12,elem_4),elem_5),
inference(mrr,[status(thm)],[12365,869]),
[iquote('0:MRR:12365.0,869.0')] ).
cnf(15871,plain,
( equal(elem_4,elem_0)
| equal(i,elem_4)
| equal(select(earray_42,elem_4),elem_66) ),
inference(spr,[status(thm),theory(equality)],[12186,1074]),
[iquote('0:SpR:12186.2,1074.0')] ).
cnf(15874,plain,
equal(select(earray_42,elem_4),elem_66),
inference(mrr,[status(thm)],[15871,774,905]),
[iquote('0:MRR:15871.0,15871.1,774.0,905.0')] ).
cnf(15876,plain,
( equal(elem_4,elem_40)
| equal(select(earray_39,elem_4),elem_66) ),
inference(spr,[status(thm),theory(equality)],[15874,1531]),
[iquote('0:SpR:15874.0,1531.1')] ).
cnf(15877,plain,
equal(select(earray_39,elem_4),elem_66),
inference(mrr,[status(thm)],[15876,1738]),
[iquote('0:MRR:15876.0,1738.0')] ).
cnf(15960,plain,
( equal(elem_4,elem_37)
| equal(select(earray_36,elem_4),elem_66) ),
inference(spr,[status(thm),theory(equality)],[15877,1530]),
[iquote('0:SpR:15877.0,1530.1')] ).
cnf(15961,plain,
equal(select(earray_36,elem_4),elem_66),
inference(mrr,[status(thm)],[15960,1657]),
[iquote('0:MRR:15960.0,1657.0')] ).
cnf(15963,plain,
( equal(elem_4,elem_34)
| equal(select(earray_33,elem_4),elem_66) ),
inference(spr,[status(thm),theory(equality)],[15961,1528]),
[iquote('0:SpR:15961.0,1528.1')] ).
cnf(15964,plain,
equal(select(earray_33,elem_4),elem_66),
inference(mrr,[status(thm)],[15963,1576]),
[iquote('0:MRR:15963.0,1576.0')] ).
cnf(15966,plain,
( equal(elem_4,elem_31)
| equal(select(earray_30,elem_4),elem_66) ),
inference(spr,[status(thm),theory(equality)],[15964,1526]),
[iquote('0:SpR:15964.0,1526.1')] ).
cnf(15967,plain,
equal(select(earray_30,elem_4),elem_66),
inference(mrr,[status(thm)],[15966,1465]),
[iquote('0:MRR:15966.0,1465.0')] ).
cnf(15969,plain,
( equal(elem_4,elem_28)
| equal(select(earray_27,elem_4),elem_66) ),
inference(spr,[status(thm),theory(equality)],[15967,1524]),
[iquote('0:SpR:15967.0,1524.1')] ).
cnf(15970,plain,
equal(select(earray_27,elem_4),elem_66),
inference(mrr,[status(thm)],[15969,1384]),
[iquote('0:MRR:15969.0,1384.0')] ).
cnf(16053,plain,
( equal(elem_4,elem_25)
| equal(select(earray_24,elem_4),elem_66) ),
inference(spr,[status(thm),theory(equality)],[15970,1522]),
[iquote('0:SpR:15970.0,1522.1')] ).
cnf(16054,plain,
equal(select(earray_24,elem_4),elem_66),
inference(mrr,[status(thm)],[16053,1303]),
[iquote('0:MRR:16053.0,1303.0')] ).
cnf(16056,plain,
( equal(elem_4,elem_22)
| equal(select(earray_21,elem_4),elem_66) ),
inference(spr,[status(thm),theory(equality)],[16054,1520]),
[iquote('0:SpR:16054.0,1520.1')] ).
cnf(16057,plain,
equal(select(earray_21,elem_4),elem_66),
inference(mrr,[status(thm)],[16056,1222]),
[iquote('0:MRR:16056.0,1222.0')] ).
cnf(16059,plain,
( equal(elem_4,elem_19)
| equal(select(earray_18,elem_4),elem_66) ),
inference(spr,[status(thm),theory(equality)],[16057,1518]),
[iquote('0:SpR:16057.0,1518.1')] ).
cnf(16060,plain,
equal(select(earray_18,elem_4),elem_66),
inference(mrr,[status(thm)],[16059,1141]),
[iquote('0:MRR:16059.0,1141.0')] ).
cnf(16062,plain,
( equal(elem_4,elem_16)
| equal(select(earray_15,elem_4),elem_66) ),
inference(spr,[status(thm),theory(equality)],[16060,1516]),
[iquote('0:SpR:16060.0,1516.1')] ).
cnf(16063,plain,
equal(select(earray_15,elem_4),elem_66),
inference(mrr,[status(thm)],[16062,1031]),
[iquote('0:MRR:16062.0,1031.0')] ).
cnf(16146,plain,
( equal(elem_4,elem_13)
| equal(select(earray_12,elem_4),elem_66) ),
inference(spr,[status(thm),theory(equality)],[16063,1514]),
[iquote('0:SpR:16063.0,1514.1')] ).
cnf(16147,plain,
( equal(elem_4,elem_13)
| equal(elem_66,elem_5) ),
inference(rew,[status(thm),theory(equality)],[12368,16146]),
[iquote('0:Rew:12368.0,16146.1')] ).
cnf(16148,plain,
equal(elem_66,elem_5),
inference(mrr,[status(thm)],[16147,950]),
[iquote('0:MRR:16147.0,950.0')] ).
cnf(16150,plain,
equal(s(elem_5),elem_64),
inference(rew,[status(thm),theory(equality)],[16148,700]),
[iquote('0:Rew:16148.0,700.0')] ).
cnf(16352,plain,
equal(elem_8,elem_64),
inference(rew,[status(thm),theory(equality)],[704,16150]),
[iquote('0:Rew:704.0,16150.0')] ).
cnf(16354,plain,
equal(s(elem_64),elem_11),
inference(rew,[status(thm),theory(equality)],[16352,664]),
[iquote('0:Rew:16352.0,664.0')] ).
cnf(16548,plain,
equal(elem_62,elem_11),
inference(rew,[status(thm),theory(equality)],[699,16354]),
[iquote('0:Rew:699.0,16354.0')] ).
cnf(16550,plain,
equal(s(elem_11),elem_60),
inference(rew,[status(thm),theory(equality)],[16548,698]),
[iquote('0:Rew:16548.0,698.0')] ).
cnf(16744,plain,
equal(elem_60,elem_14),
inference(rew,[status(thm),theory(equality)],[666,16550]),
[iquote('0:Rew:666.0,16550.0')] ).
cnf(16745,plain,
equal(s(elem_14),elem_58),
inference(rew,[status(thm),theory(equality)],[16744,697]),
[iquote('0:Rew:16744.0,697.0')] ).
cnf(16940,plain,
equal(elem_58,elem_17),
inference(rew,[status(thm),theory(equality)],[668,16745]),
[iquote('0:Rew:668.0,16745.0')] ).
cnf(16941,plain,
equal(s(elem_17),elem_56),
inference(rew,[status(thm),theory(equality)],[16940,696]),
[iquote('0:Rew:16940.0,696.0')] ).
cnf(17137,plain,
equal(elem_56,elem_20),
inference(rew,[status(thm),theory(equality)],[671,16941]),
[iquote('0:Rew:671.0,16941.0')] ).
cnf(17138,plain,
equal(s(elem_20),elem_54),
inference(rew,[status(thm),theory(equality)],[17137,695]),
[iquote('0:Rew:17137.0,695.0')] ).
cnf(17335,plain,
equal(elem_54,elem_23),
inference(rew,[status(thm),theory(equality)],[673,17138]),
[iquote('0:Rew:673.0,17138.0')] ).
cnf(17336,plain,
equal(s(elem_23),elem_52),
inference(rew,[status(thm),theory(equality)],[17335,694]),
[iquote('0:Rew:17335.0,694.0')] ).
cnf(17534,plain,
equal(elem_52,elem_26),
inference(rew,[status(thm),theory(equality)],[675,17336]),
[iquote('0:Rew:675.0,17336.0')] ).
cnf(17535,plain,
equal(s(elem_26),elem_50),
inference(rew,[status(thm),theory(equality)],[17534,693]),
[iquote('0:Rew:17534.0,693.0')] ).
cnf(17734,plain,
equal(elem_50,elem_29),
inference(rew,[status(thm),theory(equality)],[677,17535]),
[iquote('0:Rew:677.0,17535.0')] ).
cnf(17735,plain,
equal(s(elem_29),elem_48),
inference(rew,[status(thm),theory(equality)],[17734,692]),
[iquote('0:Rew:17734.0,692.0')] ).
cnf(17935,plain,
equal(elem_48,elem_32),
inference(rew,[status(thm),theory(equality)],[679,17735]),
[iquote('0:Rew:679.0,17735.0')] ).
cnf(17936,plain,
equal(s(elem_32),elem_46),
inference(rew,[status(thm),theory(equality)],[17935,690]),
[iquote('0:Rew:17935.0,690.0')] ).
cnf(18137,plain,
equal(elem_46,elem_35),
inference(rew,[status(thm),theory(equality)],[681,17936]),
[iquote('0:Rew:681.0,17936.0')] ).
cnf(18138,plain,
equal(s(elem_35),elem_44),
inference(rew,[status(thm),theory(equality)],[18137,689]),
[iquote('0:Rew:18137.0,689.0')] ).
cnf(18340,plain,
equal(elem_44,elem_38),
inference(rew,[status(thm),theory(equality)],[683,18138]),
[iquote('0:Rew:683.0,18138.0')] ).
cnf(18341,plain,
equal(s(elem_38),elem_43),
inference(rew,[status(thm),theory(equality)],[18340,688]),
[iquote('0:Rew:18340.0,688.0')] ).
cnf(18544,plain,
equal(elem_43,elem_41),
inference(rew,[status(thm),theory(equality)],[686,18341]),
[iquote('0:Rew:686.0,18341.0')] ).
cnf(18545,plain,
$false,
inference(mrr,[status(thm)],[18544,706]),
[iquote('0:MRR:18544.0,706.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWV567-1.014 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.15 % Command : run_spass %d %s
% 0.16/0.37 % Computer : n027.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 600
% 0.16/0.37 % DateTime : Thu Jun 16 04:36:35 EDT 2022
% 0.16/0.37 % CPUTime :
% 119.31/119.49
% 119.31/119.49 SPASS V 3.9
% 119.31/119.49 SPASS beiseite: Proof found.
% 119.31/119.49 % SZS status Theorem
% 119.31/119.49 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 119.31/119.49 SPASS derived 10524 clauses, backtracked 0 clauses, performed 0 splits and kept 10967 clauses.
% 119.31/119.49 SPASS allocated 90602 KBytes.
% 119.31/119.49 SPASS spent 0:1:59.08 on the problem.
% 119.31/119.49 0:00:00.16 for the input.
% 119.31/119.49 0:00:00.00 for the FLOTTER CNF translation.
% 119.31/119.49 0:00:01.90 for inferences.
% 119.31/119.49 0:00:00.00 for the backtracking.
% 119.31/119.49 0:1:56.59 for the reduction.
% 119.31/119.49
% 119.31/119.49
% 119.31/119.49 Here is a proof with depth 13, length 166 :
% 119.31/119.49 % SZS output start Refutation
% See solution above
% 121.15/121.29 Formulae used in the proof : a1 a2 as12 as11 as10 as9 as8 as7 as6 as5 as4 as3 as2 as1 hyp0 hyp1 hyp2 hyp3 hyp4 hyp5 hyp7 hyp8 hyp9 hyp10 hyp11 hyp20 hyp24 hyp25 hyp26 hyp27 hyp28 hyp30 hyp31 hyp32 hyp33 hyp34 hyp35 hyp36 hyp38 hyp39 hyp40 hyp41 hyp42 hyp43 hyp44 hyp45 hyp46 hyp47 hyp48 hyp49 hyp50 hyp51 hyp52 hyp53 hyp55 hyp56 hyp57 hyp59 hyp60 hyp61 hyp62 hyp63 hyp64 hyp65 hyp66 hyp67 hyp69 hyp71 hyp72 goal
% 121.15/121.29
%------------------------------------------------------------------------------