TSTP Solution File: SWV567-1.015 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV567-1.015 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 168.67s 168.91s
% Output : Refutation 170.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 75
% Syntax : Number of clauses : 178 ( 146 unt; 32 nHn; 178 RR)
% Number of literals : 212 ( 0 equ; 42 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 72 ( 72 usr; 69 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(select(store(u,v,w),v),w),
file('SWV567-1.015.p',unknown),
[] ).
cnf(2,axiom,
( equal(u,v)
| equal(select(store(w,u,x),v),select(w,v)) ),
file('SWV567-1.015.p',unknown),
[] ).
cnf(710,axiom,
~ equal(s(s(s(s(s(s(s(s(s(s(s(s(s(u))))))))))))),u),
file('SWV567-1.015.p',unknown),
[] ).
cnf(711,axiom,
~ equal(s(s(s(s(s(s(s(s(s(s(s(s(u)))))))))))),u),
file('SWV567-1.015.p',unknown),
[] ).
cnf(712,axiom,
~ equal(s(s(s(s(s(s(s(s(s(s(s(u))))))))))),u),
file('SWV567-1.015.p',unknown),
[] ).
cnf(713,axiom,
~ equal(s(s(s(s(s(s(s(s(s(s(u)))))))))),u),
file('SWV567-1.015.p',unknown),
[] ).
cnf(714,axiom,
~ equal(s(s(s(s(s(s(s(s(s(u))))))))),u),
file('SWV567-1.015.p',unknown),
[] ).
cnf(715,axiom,
~ equal(s(s(s(s(s(s(s(s(u)))))))),u),
file('SWV567-1.015.p',unknown),
[] ).
cnf(716,axiom,
~ equal(s(s(s(s(s(s(s(u))))))),u),
file('SWV567-1.015.p',unknown),
[] ).
cnf(717,axiom,
~ equal(s(s(s(s(s(s(u)))))),u),
file('SWV567-1.015.p',unknown),
[] ).
cnf(718,axiom,
~ equal(s(s(s(s(s(u))))),u),
file('SWV567-1.015.p',unknown),
[] ).
cnf(719,axiom,
~ equal(s(s(s(s(u)))),u),
file('SWV567-1.015.p',unknown),
[] ).
cnf(720,axiom,
~ equal(s(s(s(u))),u),
file('SWV567-1.015.p',unknown),
[] ).
cnf(721,axiom,
~ equal(s(s(u)),u),
file('SWV567-1.015.p',unknown),
[] ).
cnf(722,axiom,
~ equal(s(u),u),
file('SWV567-1.015.p',unknown),
[] ).
cnf(723,axiom,
equal(store(earray_9,elem_10,elem_11),earray_12),
file('SWV567-1.015.p',unknown),
[] ).
cnf(724,axiom,
equal(store(earray_12,elem_13,elem_14),earray_15),
file('SWV567-1.015.p',unknown),
[] ).
cnf(725,axiom,
equal(store(earray_15,elem_16,elem_17),earray_18),
file('SWV567-1.015.p',unknown),
[] ).
cnf(726,axiom,
equal(store(earray_18,elem_19,elem_20),earray_21),
file('SWV567-1.015.p',unknown),
[] ).
cnf(727,axiom,
equal(store(earray_21,elem_22,elem_23),earray_24),
file('SWV567-1.015.p',unknown),
[] ).
cnf(728,axiom,
equal(store(earray_24,elem_25,elem_26),earray_27),
file('SWV567-1.015.p',unknown),
[] ).
cnf(730,axiom,
equal(store(earray_27,elem_28,elem_29),earray_30),
file('SWV567-1.015.p',unknown),
[] ).
cnf(731,axiom,
equal(store(earray_30,elem_31,elem_32),earray_33),
file('SWV567-1.015.p',unknown),
[] ).
cnf(732,axiom,
equal(store(earray_33,elem_34,elem_35),earray_36),
file('SWV567-1.015.p',unknown),
[] ).
cnf(733,axiom,
equal(store(earray_36,elem_37,elem_38),earray_39),
file('SWV567-1.015.p',unknown),
[] ).
cnf(734,axiom,
equal(store(earray_39,elem_40,elem_41),earray_42),
file('SWV567-1.015.p',unknown),
[] ).
cnf(735,axiom,
equal(store(earray_42,elem_43,elem_44),earray_45),
file('SWV567-1.015.p',unknown),
[] ).
cnf(742,axiom,
equal(store(earray_3,elem_4,elem_5),earray_6),
file('SWV567-1.015.p',unknown),
[] ).
cnf(749,axiom,
equal(store(earray_70,elem_4,elem_71),earray_72),
file('SWV567-1.015.p',unknown),
[] ).
cnf(750,axiom,
equal(store(earray_72,elem_0,elem_73),earray_74),
file('SWV567-1.015.p',unknown),
[] ).
cnf(751,axiom,
equal(store(earray_74,i,elem_75),earray_76),
file('SWV567-1.015.p',unknown),
[] ).
cnf(752,axiom,
equal(store(earray_6,elem_7,elem_8),earray_9),
file('SWV567-1.015.p',unknown),
[] ).
cnf(753,axiom,
equal(s(i),elem_0),
file('SWV567-1.015.p',unknown),
[] ).
cnf(755,axiom,
equal(s(elem_7),elem_10),
file('SWV567-1.015.p',unknown),
[] ).
cnf(756,axiom,
equal(s(elem_8),elem_11),
file('SWV567-1.015.p',unknown),
[] ).
cnf(757,axiom,
equal(s(elem_10),elem_13),
file('SWV567-1.015.p',unknown),
[] ).
cnf(758,axiom,
equal(s(elem_11),elem_14),
file('SWV567-1.015.p',unknown),
[] ).
cnf(759,axiom,
equal(s(elem_13),elem_16),
file('SWV567-1.015.p',unknown),
[] ).
cnf(760,axiom,
equal(s(elem_14),elem_17),
file('SWV567-1.015.p',unknown),
[] ).
cnf(761,axiom,
equal(s(elem_16),elem_19),
file('SWV567-1.015.p',unknown),
[] ).
cnf(763,axiom,
equal(s(elem_17),elem_20),
file('SWV567-1.015.p',unknown),
[] ).
cnf(764,axiom,
equal(s(elem_19),elem_22),
file('SWV567-1.015.p',unknown),
[] ).
cnf(765,axiom,
equal(s(elem_20),elem_23),
file('SWV567-1.015.p',unknown),
[] ).
cnf(766,axiom,
equal(s(elem_22),elem_25),
file('SWV567-1.015.p',unknown),
[] ).
cnf(767,axiom,
equal(s(elem_23),elem_26),
file('SWV567-1.015.p',unknown),
[] ).
cnf(768,axiom,
equal(s(elem_25),elem_28),
file('SWV567-1.015.p',unknown),
[] ).
cnf(769,axiom,
equal(s(elem_26),elem_29),
file('SWV567-1.015.p',unknown),
[] ).
cnf(770,axiom,
equal(s(elem_28),elem_31),
file('SWV567-1.015.p',unknown),
[] ).
cnf(771,axiom,
equal(s(elem_29),elem_32),
file('SWV567-1.015.p',unknown),
[] ).
cnf(772,axiom,
equal(s(elem_31),elem_34),
file('SWV567-1.015.p',unknown),
[] ).
cnf(773,axiom,
equal(s(elem_32),elem_35),
file('SWV567-1.015.p',unknown),
[] ).
cnf(774,axiom,
equal(s(elem_34),elem_37),
file('SWV567-1.015.p',unknown),
[] ).
cnf(775,axiom,
equal(s(elem_35),elem_38),
file('SWV567-1.015.p',unknown),
[] ).
cnf(776,axiom,
equal(s(elem_0),elem_4),
file('SWV567-1.015.p',unknown),
[] ).
cnf(777,axiom,
equal(s(elem_37),elem_40),
file('SWV567-1.015.p',unknown),
[] ).
cnf(778,axiom,
equal(s(elem_38),elem_41),
file('SWV567-1.015.p',unknown),
[] ).
cnf(779,axiom,
equal(s(elem_40),elem_43),
file('SWV567-1.015.p',unknown),
[] ).
cnf(780,axiom,
equal(s(elem_41),elem_44),
file('SWV567-1.015.p',unknown),
[] ).
cnf(782,axiom,
equal(s(elem_47),elem_46),
file('SWV567-1.015.p',unknown),
[] ).
cnf(783,axiom,
equal(s(elem_49),elem_47),
file('SWV567-1.015.p',unknown),
[] ).
cnf(785,axiom,
equal(s(elem_51),elem_49),
file('SWV567-1.015.p',unknown),
[] ).
cnf(786,axiom,
equal(s(elem_53),elem_51),
file('SWV567-1.015.p',unknown),
[] ).
cnf(787,axiom,
equal(s(elem_55),elem_53),
file('SWV567-1.015.p',unknown),
[] ).
cnf(788,axiom,
equal(s(elem_57),elem_55),
file('SWV567-1.015.p',unknown),
[] ).
cnf(789,axiom,
equal(s(elem_59),elem_57),
file('SWV567-1.015.p',unknown),
[] ).
cnf(790,axiom,
equal(s(elem_61),elem_59),
file('SWV567-1.015.p',unknown),
[] ).
cnf(791,axiom,
equal(s(elem_63),elem_61),
file('SWV567-1.015.p',unknown),
[] ).
cnf(792,axiom,
equal(s(elem_65),elem_63),
file('SWV567-1.015.p',unknown),
[] ).
cnf(793,axiom,
equal(s(elem_67),elem_65),
file('SWV567-1.015.p',unknown),
[] ).
cnf(794,axiom,
equal(s(elem_69),elem_67),
file('SWV567-1.015.p',unknown),
[] ).
cnf(795,axiom,
equal(s(elem_4),elem_7),
file('SWV567-1.015.p',unknown),
[] ).
cnf(796,axiom,
equal(s(elem_71),elem_69),
file('SWV567-1.015.p',unknown),
[] ).
cnf(799,axiom,
equal(s(elem_5),elem_8),
file('SWV567-1.015.p',unknown),
[] ).
cnf(800,axiom,
equal(earray_76,earray_45),
file('SWV567-1.015.p',unknown),
[] ).
cnf(801,axiom,
~ equal(elem_46,elem_44),
file('SWV567-1.015.p',unknown),
[] ).
cnf(802,plain,
equal(store(earray_74,i,elem_75),earray_45),
inference(rew,[status(thm),theory(equality)],[800,751]),
[iquote('0:Rew:800.0,751.0')] ).
cnf(857,plain,
~ equal(elem_7,elem_4),
inference(spl,[status(thm),theory(equality)],[795,722]),
[iquote('0:SpL:795.0,722.0')] ).
cnf(875,plain,
~ equal(elem_4,elem_0),
inference(spl,[status(thm),theory(equality)],[776,722]),
[iquote('0:SpL:776.0,722.0')] ).
cnf(932,plain,
~ equal(s(elem_7),elem_4),
inference(spl,[status(thm),theory(equality)],[795,721]),
[iquote('0:SpL:795.0,721.0')] ).
cnf(972,plain,
~ equal(s(elem_0),i),
inference(spl,[status(thm),theory(equality)],[753,721]),
[iquote('0:SpL:753.0,721.0')] ).
cnf(977,plain,
~ equal(elem_4,elem_10),
inference(rew,[status(thm),theory(equality)],[755,932]),
[iquote('0:Rew:755.0,932.0')] ).
cnf(1014,plain,
~ equal(i,elem_4),
inference(rew,[status(thm),theory(equality)],[776,972]),
[iquote('0:Rew:776.0,972.0')] ).
cnf(1019,plain,
~ equal(s(s(elem_7)),elem_4),
inference(spl,[status(thm),theory(equality)],[795,720]),
[iquote('0:SpL:795.0,720.0')] ).
cnf(1064,plain,
~ equal(elem_4,elem_13),
inference(rew,[status(thm),theory(equality)],[757,1019,755]),
[iquote('0:Rew:757.0,1019.0,755.0,1019.0')] ).
cnf(1106,plain,
~ equal(s(s(s(elem_7))),elem_4),
inference(spl,[status(thm),theory(equality)],[795,719]),
[iquote('0:SpL:795.0,719.0')] ).
cnf(1151,plain,
~ equal(elem_4,elem_16),
inference(rew,[status(thm),theory(equality)],[759,1106,757,755]),
[iquote('0:Rew:759.0,1106.0,757.0,1106.0,755.0,1106.0')] ).
cnf(1195,plain,
equal(select(earray_72,elem_4),elem_71),
inference(spr,[status(thm),theory(equality)],[749,1]),
[iquote('0:SpR:749.0,1.0')] ).
cnf(1196,plain,
equal(select(earray_6,elem_4),elem_5),
inference(spr,[status(thm),theory(equality)],[742,1]),
[iquote('0:SpR:742.0,1.0')] ).
cnf(1224,plain,
~ equal(s(s(s(s(elem_7)))),elem_4),
inference(spl,[status(thm),theory(equality)],[795,718]),
[iquote('0:SpL:795.0,718.0')] ).
cnf(1269,plain,
~ equal(elem_4,elem_19),
inference(rew,[status(thm),theory(equality)],[761,1224,759,757,755]),
[iquote('0:Rew:761.0,1224.0,759.0,1224.0,757.0,1224.0,755.0,1224.0')] ).
cnf(1311,plain,
~ equal(s(s(s(s(s(elem_7))))),elem_4),
inference(spl,[status(thm),theory(equality)],[795,717]),
[iquote('0:SpL:795.0,717.0')] ).
cnf(1356,plain,
~ equal(elem_4,elem_22),
inference(rew,[status(thm),theory(equality)],[764,1311,761,759,757,755]),
[iquote('0:Rew:764.0,1311.0,761.0,1311.0,759.0,1311.0,757.0,1311.0,755.0,1311.0')] ).
cnf(1398,plain,
~ equal(s(s(s(s(s(s(elem_7)))))),elem_4),
inference(spl,[status(thm),theory(equality)],[795,716]),
[iquote('0:SpL:795.0,716.0')] ).
cnf(1443,plain,
~ equal(elem_4,elem_25),
inference(rew,[status(thm),theory(equality)],[766,1398,764,761,759,757,755]),
[iquote('0:Rew:766.0,1398.0,764.0,1398.0,761.0,1398.0,759.0,1398.0,757.0,1398.0,755.0,1398.0')] ).
cnf(1485,plain,
~ equal(s(s(s(s(s(s(s(elem_7))))))),elem_4),
inference(spl,[status(thm),theory(equality)],[795,715]),
[iquote('0:SpL:795.0,715.0')] ).
cnf(1530,plain,
~ equal(elem_4,elem_28),
inference(rew,[status(thm),theory(equality)],[768,1485,766,764,761,759,757,755]),
[iquote('0:Rew:768.0,1485.0,766.0,1485.0,764.0,1485.0,761.0,1485.0,759.0,1485.0,757.0,1485.0,755.0,1485.0')] ).
cnf(1572,plain,
~ equal(s(s(s(s(s(s(s(s(elem_7)))))))),elem_4),
inference(spl,[status(thm),theory(equality)],[795,714]),
[iquote('0:SpL:795.0,714.0')] ).
cnf(1617,plain,
~ equal(elem_4,elem_31),
inference(rew,[status(thm),theory(equality)],[770,1572,768,766,764,761,759,757,755]),
[iquote('0:Rew:770.0,1572.0,768.0,1572.0,766.0,1572.0,764.0,1572.0,761.0,1572.0,759.0,1572.0,757.0,1572.0,755.0,1572.0')] ).
cnf(1657,plain,
( equal(elem_7,u)
| equal(select(earray_6,u),select(earray_9,u)) ),
inference(spr,[status(thm),theory(equality)],[752,2]),
[iquote('0:SpR:752.0,2.1')] ).
cnf(1659,plain,
( equal(i,u)
| equal(select(earray_74,u),select(earray_45,u)) ),
inference(spr,[status(thm),theory(equality)],[802,2]),
[iquote('0:SpR:802.0,2.1')] ).
cnf(1660,plain,
( equal(elem_0,u)
| equal(select(earray_74,u),select(earray_72,u)) ),
inference(spr,[status(thm),theory(equality)],[750,2]),
[iquote('0:SpR:750.0,2.1')] ).
cnf(1665,plain,
( equal(elem_10,u)
| equal(select(earray_9,u),select(earray_12,u)) ),
inference(spr,[status(thm),theory(equality)],[723,2]),
[iquote('0:SpR:723.0,2.1')] ).
cnf(1667,plain,
( equal(elem_13,u)
| equal(select(earray_15,u),select(earray_12,u)) ),
inference(spr,[status(thm),theory(equality)],[724,2]),
[iquote('0:SpR:724.0,2.1')] ).
cnf(1669,plain,
( equal(elem_16,u)
| equal(select(earray_18,u),select(earray_15,u)) ),
inference(spr,[status(thm),theory(equality)],[725,2]),
[iquote('0:SpR:725.0,2.1')] ).
cnf(1671,plain,
( equal(elem_19,u)
| equal(select(earray_21,u),select(earray_18,u)) ),
inference(spr,[status(thm),theory(equality)],[726,2]),
[iquote('0:SpR:726.0,2.1')] ).
cnf(1673,plain,
( equal(elem_22,u)
| equal(select(earray_24,u),select(earray_21,u)) ),
inference(spr,[status(thm),theory(equality)],[727,2]),
[iquote('0:SpR:727.0,2.1')] ).
cnf(1675,plain,
( equal(elem_25,u)
| equal(select(earray_27,u),select(earray_24,u)) ),
inference(spr,[status(thm),theory(equality)],[728,2]),
[iquote('0:SpR:728.0,2.1')] ).
cnf(1677,plain,
( equal(elem_28,u)
| equal(select(earray_30,u),select(earray_27,u)) ),
inference(spr,[status(thm),theory(equality)],[730,2]),
[iquote('0:SpR:730.0,2.1')] ).
cnf(1679,plain,
( equal(elem_31,u)
| equal(select(earray_33,u),select(earray_30,u)) ),
inference(spr,[status(thm),theory(equality)],[731,2]),
[iquote('0:SpR:731.0,2.1')] ).
cnf(1681,plain,
( equal(elem_34,u)
| equal(select(earray_36,u),select(earray_33,u)) ),
inference(spr,[status(thm),theory(equality)],[732,2]),
[iquote('0:SpR:732.0,2.1')] ).
cnf(1683,plain,
( equal(elem_37,u)
| equal(select(earray_39,u),select(earray_36,u)) ),
inference(spr,[status(thm),theory(equality)],[733,2]),
[iquote('0:SpR:733.0,2.1')] ).
cnf(1685,plain,
( equal(elem_40,u)
| equal(select(earray_42,u),select(earray_39,u)) ),
inference(spr,[status(thm),theory(equality)],[734,2]),
[iquote('0:SpR:734.0,2.1')] ).
cnf(1686,plain,
( equal(elem_43,u)
| equal(select(earray_45,u),select(earray_42,u)) ),
inference(spr,[status(thm),theory(equality)],[735,2]),
[iquote('0:SpR:735.0,2.1')] ).
cnf(1691,plain,
~ equal(s(s(s(s(s(s(s(s(s(elem_7))))))))),elem_4),
inference(spl,[status(thm),theory(equality)],[795,713]),
[iquote('0:SpL:795.0,713.0')] ).
cnf(1736,plain,
~ equal(elem_4,elem_34),
inference(rew,[status(thm),theory(equality)],[772,1691,770,768,766,764,761,759,757,755]),
[iquote('0:Rew:772.0,1691.0,770.0,1691.0,768.0,1691.0,766.0,1691.0,764.0,1691.0,761.0,1691.0,759.0,1691.0,757.0,1691.0,755.0,1691.0')] ).
cnf(1778,plain,
~ equal(s(s(s(s(s(s(s(s(s(s(elem_7)))))))))),elem_4),
inference(spl,[status(thm),theory(equality)],[795,712]),
[iquote('0:SpL:795.0,712.0')] ).
cnf(1823,plain,
~ equal(elem_4,elem_37),
inference(rew,[status(thm),theory(equality)],[774,1778,772,770,768,766,764,761,759,757,755]),
[iquote('0:Rew:774.0,1778.0,772.0,1778.0,770.0,1778.0,768.0,1778.0,766.0,1778.0,764.0,1778.0,761.0,1778.0,759.0,1778.0,757.0,1778.0,755.0,1778.0')] ).
cnf(1865,plain,
~ equal(s(s(s(s(s(s(s(s(s(s(s(elem_7))))))))))),elem_4),
inference(spl,[status(thm),theory(equality)],[795,711]),
[iquote('0:SpL:795.0,711.0')] ).
cnf(1910,plain,
~ equal(elem_4,elem_40),
inference(rew,[status(thm),theory(equality)],[777,1865,774,772,770,768,766,764,761,759,757,755]),
[iquote('0:Rew:777.0,1865.0,774.0,1865.0,772.0,1865.0,770.0,1865.0,768.0,1865.0,766.0,1865.0,764.0,1865.0,761.0,1865.0,759.0,1865.0,757.0,1865.0,755.0,1865.0')] ).
cnf(1952,plain,
~ equal(s(s(s(s(s(s(s(s(s(s(s(s(elem_7)))))))))))),elem_4),
inference(spl,[status(thm),theory(equality)],[795,710]),
[iquote('0:SpL:795.0,710.0')] ).
cnf(1997,plain,
~ equal(elem_4,elem_43),
inference(rew,[status(thm),theory(equality)],[779,1952,777,774,772,770,768,766,764,761,759,757,755]),
[iquote('0:Rew:779.0,1952.0,777.0,1952.0,774.0,1952.0,772.0,1952.0,770.0,1952.0,768.0,1952.0,766.0,1952.0,764.0,1952.0,761.0,1952.0,759.0,1952.0,757.0,1952.0,755.0,1952.0')] ).
cnf(14336,plain,
( equal(elem_7,elem_4)
| equal(select(earray_9,elem_4),elem_5) ),
inference(spr,[status(thm),theory(equality)],[1657,1196]),
[iquote('0:SpR:1657.1,1196.0')] ).
cnf(14338,plain,
equal(select(earray_9,elem_4),elem_5),
inference(mrr,[status(thm)],[14336,857]),
[iquote('0:MRR:14336.0,857.0')] ).
cnf(14434,plain,
( equal(elem_0,u)
| equal(i,u)
| equal(select(earray_72,u),select(earray_45,u)) ),
inference(spr,[status(thm),theory(equality)],[1660,1659]),
[iquote('0:SpR:1660.1,1659.1')] ).
cnf(14625,plain,
( equal(elem_4,elem_10)
| equal(select(earray_12,elem_4),elem_5) ),
inference(spr,[status(thm),theory(equality)],[1665,14338]),
[iquote('0:SpR:1665.1,14338.0')] ).
cnf(14628,plain,
equal(select(earray_12,elem_4),elem_5),
inference(mrr,[status(thm)],[14625,977]),
[iquote('0:MRR:14625.0,977.0')] ).
cnf(18654,plain,
( equal(elem_4,elem_0)
| equal(i,elem_4)
| equal(select(earray_45,elem_4),elem_71) ),
inference(spr,[status(thm),theory(equality)],[14434,1195]),
[iquote('0:SpR:14434.2,1195.0')] ).
cnf(18657,plain,
equal(select(earray_45,elem_4),elem_71),
inference(mrr,[status(thm)],[18654,875,1014]),
[iquote('0:MRR:18654.0,18654.1,875.0,1014.0')] ).
cnf(18746,plain,
( equal(elem_4,elem_43)
| equal(select(earray_42,elem_4),elem_71) ),
inference(spr,[status(thm),theory(equality)],[18657,1686]),
[iquote('0:SpR:18657.0,1686.1')] ).
cnf(18747,plain,
equal(select(earray_42,elem_4),elem_71),
inference(mrr,[status(thm)],[18746,1997]),
[iquote('0:MRR:18746.0,1997.0')] ).
cnf(18749,plain,
( equal(elem_4,elem_40)
| equal(select(earray_39,elem_4),elem_71) ),
inference(spr,[status(thm),theory(equality)],[18747,1685]),
[iquote('0:SpR:18747.0,1685.1')] ).
cnf(18750,plain,
equal(select(earray_39,elem_4),elem_71),
inference(mrr,[status(thm)],[18749,1910]),
[iquote('0:MRR:18749.0,1910.0')] ).
cnf(18752,plain,
( equal(elem_4,elem_37)
| equal(select(earray_36,elem_4),elem_71) ),
inference(spr,[status(thm),theory(equality)],[18750,1683]),
[iquote('0:SpR:18750.0,1683.1')] ).
cnf(18753,plain,
equal(select(earray_36,elem_4),elem_71),
inference(mrr,[status(thm)],[18752,1823]),
[iquote('0:MRR:18752.0,1823.0')] ).
cnf(18755,plain,
( equal(elem_4,elem_34)
| equal(select(earray_33,elem_4),elem_71) ),
inference(spr,[status(thm),theory(equality)],[18753,1681]),
[iquote('0:SpR:18753.0,1681.1')] ).
cnf(18756,plain,
equal(select(earray_33,elem_4),elem_71),
inference(mrr,[status(thm)],[18755,1736]),
[iquote('0:MRR:18755.0,1736.0')] ).
cnf(18845,plain,
( equal(elem_4,elem_31)
| equal(select(earray_30,elem_4),elem_71) ),
inference(spr,[status(thm),theory(equality)],[18756,1679]),
[iquote('0:SpR:18756.0,1679.1')] ).
cnf(18846,plain,
equal(select(earray_30,elem_4),elem_71),
inference(mrr,[status(thm)],[18845,1617]),
[iquote('0:MRR:18845.0,1617.0')] ).
cnf(18848,plain,
( equal(elem_4,elem_28)
| equal(select(earray_27,elem_4),elem_71) ),
inference(spr,[status(thm),theory(equality)],[18846,1677]),
[iquote('0:SpR:18846.0,1677.1')] ).
cnf(18849,plain,
equal(select(earray_27,elem_4),elem_71),
inference(mrr,[status(thm)],[18848,1530]),
[iquote('0:MRR:18848.0,1530.0')] ).
cnf(18851,plain,
( equal(elem_4,elem_25)
| equal(select(earray_24,elem_4),elem_71) ),
inference(spr,[status(thm),theory(equality)],[18849,1675]),
[iquote('0:SpR:18849.0,1675.1')] ).
cnf(18852,plain,
equal(select(earray_24,elem_4),elem_71),
inference(mrr,[status(thm)],[18851,1443]),
[iquote('0:MRR:18851.0,1443.0')] ).
cnf(18854,plain,
( equal(elem_4,elem_22)
| equal(select(earray_21,elem_4),elem_71) ),
inference(spr,[status(thm),theory(equality)],[18852,1673]),
[iquote('0:SpR:18852.0,1673.1')] ).
cnf(18855,plain,
equal(select(earray_21,elem_4),elem_71),
inference(mrr,[status(thm)],[18854,1356]),
[iquote('0:MRR:18854.0,1356.0')] ).
cnf(18944,plain,
( equal(elem_4,elem_19)
| equal(select(earray_18,elem_4),elem_71) ),
inference(spr,[status(thm),theory(equality)],[18855,1671]),
[iquote('0:SpR:18855.0,1671.1')] ).
cnf(18945,plain,
equal(select(earray_18,elem_4),elem_71),
inference(mrr,[status(thm)],[18944,1269]),
[iquote('0:MRR:18944.0,1269.0')] ).
cnf(18947,plain,
( equal(elem_4,elem_16)
| equal(select(earray_15,elem_4),elem_71) ),
inference(spr,[status(thm),theory(equality)],[18945,1669]),
[iquote('0:SpR:18945.0,1669.1')] ).
cnf(18948,plain,
equal(select(earray_15,elem_4),elem_71),
inference(mrr,[status(thm)],[18947,1151]),
[iquote('0:MRR:18947.0,1151.0')] ).
cnf(18950,plain,
( equal(elem_4,elem_13)
| equal(select(earray_12,elem_4),elem_71) ),
inference(spr,[status(thm),theory(equality)],[18948,1667]),
[iquote('0:SpR:18948.0,1667.1')] ).
cnf(18951,plain,
( equal(elem_4,elem_13)
| equal(elem_71,elem_5) ),
inference(rew,[status(thm),theory(equality)],[14628,18950]),
[iquote('0:Rew:14628.0,18950.1')] ).
cnf(18952,plain,
equal(elem_71,elem_5),
inference(mrr,[status(thm)],[18951,1064]),
[iquote('0:MRR:18951.0,1064.0')] ).
cnf(18954,plain,
equal(s(elem_5),elem_69),
inference(rew,[status(thm),theory(equality)],[18952,796]),
[iquote('0:Rew:18952.0,796.0')] ).
cnf(19175,plain,
equal(elem_8,elem_69),
inference(rew,[status(thm),theory(equality)],[799,18954]),
[iquote('0:Rew:799.0,18954.0')] ).
cnf(19177,plain,
equal(s(elem_69),elem_11),
inference(rew,[status(thm),theory(equality)],[19175,756]),
[iquote('0:Rew:19175.0,756.0')] ).
cnf(19389,plain,
equal(elem_67,elem_11),
inference(rew,[status(thm),theory(equality)],[794,19177]),
[iquote('0:Rew:794.0,19177.0')] ).
cnf(19391,plain,
equal(s(elem_11),elem_65),
inference(rew,[status(thm),theory(equality)],[19389,793]),
[iquote('0:Rew:19389.0,793.0')] ).
cnf(19603,plain,
equal(elem_65,elem_14),
inference(rew,[status(thm),theory(equality)],[758,19391]),
[iquote('0:Rew:758.0,19391.0')] ).
cnf(19604,plain,
equal(s(elem_14),elem_63),
inference(rew,[status(thm),theory(equality)],[19603,792]),
[iquote('0:Rew:19603.0,792.0')] ).
cnf(19817,plain,
equal(elem_63,elem_17),
inference(rew,[status(thm),theory(equality)],[760,19604]),
[iquote('0:Rew:760.0,19604.0')] ).
cnf(19818,plain,
equal(s(elem_17),elem_61),
inference(rew,[status(thm),theory(equality)],[19817,791]),
[iquote('0:Rew:19817.0,791.0')] ).
cnf(20032,plain,
equal(elem_61,elem_20),
inference(rew,[status(thm),theory(equality)],[763,19818]),
[iquote('0:Rew:763.0,19818.0')] ).
cnf(20033,plain,
equal(s(elem_20),elem_59),
inference(rew,[status(thm),theory(equality)],[20032,790]),
[iquote('0:Rew:20032.0,790.0')] ).
cnf(20248,plain,
equal(elem_59,elem_23),
inference(rew,[status(thm),theory(equality)],[765,20033]),
[iquote('0:Rew:765.0,20033.0')] ).
cnf(20249,plain,
equal(s(elem_23),elem_57),
inference(rew,[status(thm),theory(equality)],[20248,789]),
[iquote('0:Rew:20248.0,789.0')] ).
cnf(20465,plain,
equal(elem_57,elem_26),
inference(rew,[status(thm),theory(equality)],[767,20249]),
[iquote('0:Rew:767.0,20249.0')] ).
cnf(20466,plain,
equal(s(elem_26),elem_55),
inference(rew,[status(thm),theory(equality)],[20465,788]),
[iquote('0:Rew:20465.0,788.0')] ).
cnf(20683,plain,
equal(elem_55,elem_29),
inference(rew,[status(thm),theory(equality)],[769,20466]),
[iquote('0:Rew:769.0,20466.0')] ).
cnf(20684,plain,
equal(s(elem_29),elem_53),
inference(rew,[status(thm),theory(equality)],[20683,787]),
[iquote('0:Rew:20683.0,787.0')] ).
cnf(20902,plain,
equal(elem_53,elem_32),
inference(rew,[status(thm),theory(equality)],[771,20684]),
[iquote('0:Rew:771.0,20684.0')] ).
cnf(20903,plain,
equal(s(elem_32),elem_51),
inference(rew,[status(thm),theory(equality)],[20902,786]),
[iquote('0:Rew:20902.0,786.0')] ).
cnf(21122,plain,
equal(elem_51,elem_35),
inference(rew,[status(thm),theory(equality)],[773,20903]),
[iquote('0:Rew:773.0,20903.0')] ).
cnf(21123,plain,
equal(s(elem_35),elem_49),
inference(rew,[status(thm),theory(equality)],[21122,785]),
[iquote('0:Rew:21122.0,785.0')] ).
cnf(21343,plain,
equal(elem_49,elem_38),
inference(rew,[status(thm),theory(equality)],[775,21123]),
[iquote('0:Rew:775.0,21123.0')] ).
cnf(21344,plain,
equal(s(elem_38),elem_47),
inference(rew,[status(thm),theory(equality)],[21343,783]),
[iquote('0:Rew:21343.0,783.0')] ).
cnf(21565,plain,
equal(elem_47,elem_41),
inference(rew,[status(thm),theory(equality)],[778,21344]),
[iquote('0:Rew:778.0,21344.0')] ).
cnf(21566,plain,
equal(s(elem_41),elem_46),
inference(rew,[status(thm),theory(equality)],[21565,782]),
[iquote('0:Rew:21565.0,782.0')] ).
cnf(21788,plain,
equal(elem_46,elem_44),
inference(rew,[status(thm),theory(equality)],[780,21566]),
[iquote('0:Rew:780.0,21566.0')] ).
cnf(21789,plain,
$false,
inference(mrr,[status(thm)],[21788,801]),
[iquote('0:MRR:21788.0,801.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV567-1.015 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 15 13:18:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 168.67/168.91
% 168.67/168.91 SPASS V 3.9
% 168.67/168.91 SPASS beiseite: Proof found.
% 168.67/168.91 % SZS status Theorem
% 168.67/168.91 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 168.67/168.91 SPASS derived 12354 clauses, backtracked 0 clauses, performed 0 splits and kept 12866 clauses.
% 168.67/168.91 SPASS allocated 97029 KBytes.
% 168.67/168.91 SPASS spent 0:2:48.54 on the problem.
% 168.67/168.91 0:00:00.19 for the input.
% 168.67/168.91 0:00:00.00 for the FLOTTER CNF translation.
% 168.67/168.91 0:00:02.62 for inferences.
% 168.67/168.91 0:00:00.00 for the backtracking.
% 168.67/168.91 0:2:45.18 for the reduction.
% 168.67/168.91
% 168.67/168.91
% 168.67/168.91 Here is a proof with depth 14, length 178 :
% 168.67/168.91 % SZS output start Refutation
% See solution above
% 170.91/171.14 Formulae used in the proof : a1 a2 as13 as12 as11 as10 as9 as8 as7 as6 as5 as4 as3 as2 as1 hyp0 hyp1 hyp2 hyp3 hyp4 hyp5 hyp7 hyp8 hyp9 hyp10 hyp11 hyp12 hyp19 hyp26 hyp27 hyp28 hyp29 hyp30 hyp32 hyp33 hyp34 hyp35 hyp36 hyp37 hyp38 hyp40 hyp41 hyp42 hyp43 hyp44 hyp45 hyp46 hyp47 hyp48 hyp49 hyp50 hyp51 hyp52 hyp53 hyp54 hyp55 hyp56 hyp57 hyp59 hyp60 hyp62 hyp63 hyp64 hyp65 hyp66 hyp67 hyp68 hyp69 hyp70 hyp71 hyp72 hyp73 hyp76 hyp77 goal
% 170.91/171.14
%------------------------------------------------------------------------------