TSTP Solution File: PRO005+2 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PRO005+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.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 : Mon Jul 18 17:53:44 EDT 2022
% Result : Theorem 63.58s 63.76s
% Output : Refutation 65.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 40
% Syntax : Number of clauses : 145 ( 48 unt; 30 nHn; 145 RR)
% Number of literals : 359 ( 0 equ; 198 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
atomic(tptp4),
file('PRO005+2.p',unknown),
[] ).
cnf(3,axiom,
atomic(tptp3),
file('PRO005+2.p',unknown),
[] ).
cnf(4,axiom,
atomic(tptp2),
file('PRO005+2.p',unknown),
[] ).
cnf(5,axiom,
atomic(tptp1),
file('PRO005+2.p',unknown),
[] ).
cnf(6,axiom,
occurrence_of(skc1,tptp0),
file('PRO005+2.p',unknown),
[] ).
cnf(8,axiom,
~ atomic(tptp0),
file('PRO005+2.p',unknown),
[] ).
cnf(10,axiom,
occurrence_of(skf32(u),tptp4),
file('PRO005+2.p',unknown),
[] ).
cnf(14,axiom,
~ equal(tptp1,tptp3),
file('PRO005+2.p',unknown),
[] ).
cnf(15,axiom,
~ equal(tptp1,tptp2),
file('PRO005+2.p',unknown),
[] ).
cnf(18,axiom,
( ~ precedes(u,v)
| legal(v) ),
file('PRO005+2.p',unknown),
[] ).
cnf(19,axiom,
( ~ root(u,v)
| legal(u) ),
file('PRO005+2.p',unknown),
[] ).
cnf(22,axiom,
( ~ occurrence_of(u,v)
| activity(v) ),
file('PRO005+2.p',unknown),
[] ).
cnf(23,axiom,
( ~ occurrence_of(u,v)
| activity_occurrence(u) ),
file('PRO005+2.p',unknown),
[] ).
cnf(28,axiom,
( ~ root_occ(u,v)
| subactivity_occurrence(u,v) ),
file('PRO005+2.p',unknown),
[] ).
cnf(29,axiom,
( ~ leaf_occ(u,v)
| subactivity_occurrence(u,v) ),
file('PRO005+2.p',unknown),
[] ).
cnf(30,axiom,
( ~ activity_occurrence(u)
| occurrence_of(u,skf23(u)) ),
file('PRO005+2.p',unknown),
[] ).
cnf(31,axiom,
( ~ min_precedes(u,v,w)
| precedes(u,v) ),
file('PRO005+2.p',unknown),
[] ).
cnf(33,axiom,
( occurrence_of(skf31(u),tptp2)
| occurrence_of(skf31(u),tptp3) ),
file('PRO005+2.p',unknown),
[] ).
cnf(34,axiom,
( ~ occurrence_of(u,tptp0)
| root_occ(skf32(u),u) ),
file('PRO005+2.p',unknown),
[] ).
cnf(35,axiom,
( ~ occurrence_of(u,tptp0)
| leaf_occ(skf31(u),u) ),
file('PRO005+2.p',unknown),
[] ).
cnf(36,axiom,
( ~ next_subocc(u,v,w)
| min_precedes(u,v,w) ),
file('PRO005+2.p',unknown),
[] ).
cnf(39,axiom,
( ~ root_occ(u,v)
| root(u,skf18(u,w)) ),
file('PRO005+2.p',unknown),
[] ).
cnf(42,axiom,
( ~ arboreal(u)
| ~ occurrence_of(u,v)
| atomic(v) ),
file('PRO005+2.p',unknown),
[] ).
cnf(43,axiom,
( ~ atomic(u)
| ~ occurrence_of(v,u)
| arboreal(v) ),
file('PRO005+2.p',unknown),
[] ).
cnf(55,axiom,
( ~ occurrence_of(u,tptp0)
| next_subocc(skf32(u),skf31(u),tptp0) ),
file('PRO005+2.p',unknown),
[] ).
cnf(57,axiom,
( ~ occurrence_of(u,v)
| ~ occurrence_of(u,w)
| equal(w,v) ),
file('PRO005+2.p',unknown),
[] ).
cnf(60,axiom,
( ~ min_precedes(u,v,w)
| occurrence_of(skf25(v,u,w),w) ),
file('PRO005+2.p',unknown),
[] ).
cnf(61,axiom,
( ~ min_precedes(u,v,w)
| subactivity_occurrence(u,skf25(v,u,x)) ),
file('PRO005+2.p',unknown),
[] ).
cnf(62,axiom,
( ~ min_precedes(u,v,w)
| subactivity_occurrence(v,skf25(v,x,y)) ),
file('PRO005+2.p',unknown),
[] ).
cnf(65,axiom,
( ~ occurrence_of(u,v)
| atomic(v)
| root(skf30(u,v),v) ),
file('PRO005+2.p',unknown),
[] ).
cnf(66,axiom,
( ~ occurrence_of(u,v)
| atomic(v)
| subactivity_occurrence(skf30(u,w),u) ),
file('PRO005+2.p',unknown),
[] ).
cnf(69,axiom,
( ~ root_occ(u,v)
| ~ occurrence_of(v,w)
| ~ min_precedes(x,u,w) ),
file('PRO005+2.p',unknown),
[] ).
cnf(70,axiom,
( ~ leaf_occ(u,v)
| ~ occurrence_of(v,w)
| ~ min_precedes(u,x,w) ),
file('PRO005+2.p',unknown),
[] ).
cnf(74,axiom,
( ~ root_occ(u,v)
| ~ root_occ(w,v)
| ~ occurrence_of(v,x)
| equal(w,u) ),
file('PRO005+2.p',unknown),
[] ).
cnf(75,axiom,
( ~ next_subocc(u,v,w)
| ~ min_precedes(x,v,w)
| ~ min_precedes(u,x,w) ),
file('PRO005+2.p',unknown),
[] ).
cnf(76,axiom,
( ~ subactivity_occurrence(u,v)
| ~ root(u,w)
| ~ occurrence_of(v,w)
| root_occ(u,v) ),
file('PRO005+2.p',unknown),
[] ).
cnf(81,axiom,
( ~ arboreal(u)
| ~ subactivity_occurrence(u,v)
| ~ occurrence_of(v,tptp0)
| root_occ(u,v)
| leaf_occ(u,v) ),
file('PRO005+2.p',unknown),
[] ).
cnf(82,axiom,
( ~ arboreal(u)
| ~ subactivity_occurrence(u,v)
| ~ occurrence_of(v,tptp0)
| leaf_occ(u,v)
| occurrence_of(skf33(w),tptp1) ),
file('PRO005+2.p',unknown),
[] ).
cnf(83,axiom,
( ~ arboreal(u)
| ~ subactivity_occurrence(u,v)
| ~ occurrence_of(v,tptp0)
| leaf_occ(u,v)
| next_subocc(u,skf33(u),tptp0) ),
file('PRO005+2.p',unknown),
[] ).
cnf(84,axiom,
( ~ arboreal(u)
| ~ arboreal(v)
| ~ subactivity_occurrence(u,w)
| ~ occurrence_of(w,x)
| ~ subactivity_occurrence(v,w)
| equal(v,u)
| min_precedes(u,v,x)
| min_precedes(v,u,x) ),
file('PRO005+2.p',unknown),
[] ).
cnf(85,plain,
( ~ root_occ(u,skc1)
| ~ root_occ(v,skc1)
| equal(v,u) ),
inference(res,[status(thm),theory(equality)],[6,74]),
[iquote('0:Res:6.0,74.0')] ).
cnf(86,plain,
( ~ subactivity_occurrence(u,skc1)
| ~ root(u,tptp0)
| root_occ(u,skc1) ),
inference(res,[status(thm),theory(equality)],[6,76]),
[iquote('0:Res:6.0,76.0')] ).
cnf(88,plain,
( ~ root_occ(u,skc1)
| ~ min_precedes(v,u,tptp0) ),
inference(res,[status(thm),theory(equality)],[6,69]),
[iquote('0:Res:6.0,69.0')] ).
cnf(89,plain,
( ~ leaf_occ(u,skc1)
| ~ min_precedes(u,v,tptp0) ),
inference(res,[status(thm),theory(equality)],[6,70]),
[iquote('0:Res:6.0,70.0')] ).
cnf(91,plain,
( root(skf30(skc1,tptp0),tptp0)
| atomic(tptp0) ),
inference(res,[status(thm),theory(equality)],[6,65]),
[iquote('0:Res:6.0,65.0')] ).
cnf(92,plain,
( subactivity_occurrence(skf30(skc1,u),skc1)
| atomic(tptp0) ),
inference(res,[status(thm),theory(equality)],[6,66]),
[iquote('0:Res:6.0,66.0')] ).
cnf(93,plain,
( ~ arboreal(skc1)
| atomic(tptp0) ),
inference(res,[status(thm),theory(equality)],[6,42]),
[iquote('0:Res:6.0,42.1')] ).
cnf(95,plain,
activity_occurrence(skc1),
inference(res,[status(thm),theory(equality)],[6,23]),
[iquote('0:Res:6.0,23.0')] ).
cnf(96,plain,
next_subocc(skf32(skc1),skf31(skc1),tptp0),
inference(res,[status(thm),theory(equality)],[6,55]),
[iquote('0:Res:6.0,55.0')] ).
cnf(97,plain,
root_occ(skf32(skc1),skc1),
inference(res,[status(thm),theory(equality)],[6,34]),
[iquote('0:Res:6.0,34.0')] ).
cnf(100,plain,
( ~ atomic(tptp0)
| arboreal(skc1) ),
inference(res,[status(thm),theory(equality)],[6,43]),
[iquote('0:Res:6.0,43.1')] ).
cnf(107,plain,
~ arboreal(skc1),
inference(mrr,[status(thm)],[93,8]),
[iquote('0:MRR:93.1,8.0')] ).
cnf(108,plain,
~ atomic(tptp0),
inference(mrr,[status(thm)],[100,107]),
[iquote('0:MRR:100.1,107.0')] ).
cnf(109,plain,
root(skf30(skc1,tptp0),tptp0),
inference(mrr,[status(thm)],[91,108]),
[iquote('0:MRR:91.1,108.0')] ).
cnf(110,plain,
subactivity_occurrence(skf30(skc1,u),skc1),
inference(mrr,[status(thm)],[92,108]),
[iquote('0:MRR:92.1,108.0')] ).
cnf(113,plain,
( ~ arboreal(u)
| ~ subactivity_occurrence(u,v)
| ~ occurrence_of(v,tptp0)
| leaf_occ(u,v) ),
inference(spt,[spt(split,[position(s1)])],[82]),
[iquote('1:Spt:82.0,82.1,82.2,82.3')] ).
cnf(119,plain,
activity(tptp4),
inference(res,[status(thm),theory(equality)],[10,22]),
[iquote('0:Res:10.0,22.0')] ).
cnf(124,plain,
activity_occurrence(skf32(u)),
inference(res,[status(thm),theory(equality)],[10,23]),
[iquote('0:Res:10.0,23.0')] ).
cnf(147,plain,
( occurrence_of(skf31(u),tptp3)
| activity_occurrence(skf31(u)) ),
inference(res,[status(thm),theory(equality)],[33,23]),
[iquote('0:Res:33.0,23.0')] ).
cnf(149,plain,
activity_occurrence(skf31(u)),
inference(mrr,[status(thm)],[147,23]),
[iquote('0:MRR:147.0,23.0')] ).
cnf(157,plain,
( ~ atomic(tptp4)
| arboreal(skf32(u)) ),
inference(res,[status(thm),theory(equality)],[10,43]),
[iquote('0:Res:10.0,43.1')] ).
cnf(159,plain,
( ~ atomic(tptp2)
| occurrence_of(skf31(u),tptp3)
| arboreal(skf31(u)) ),
inference(res,[status(thm),theory(equality)],[33,43]),
[iquote('0:Res:33.0,43.1')] ).
cnf(161,plain,
arboreal(skf32(u)),
inference(ssi,[status(thm)],[157,2,119]),
[iquote('0:SSi:157.0,2.0,119.0')] ).
cnf(163,plain,
( occurrence_of(skf31(u),tptp3)
| arboreal(skf31(u)) ),
inference(ssi,[status(thm)],[159,4]),
[iquote('0:SSi:159.0,4.0')] ).
cnf(167,plain,
( ~ atomic(tptp3)
| arboreal(skf31(u))
| arboreal(skf31(u)) ),
inference(res,[status(thm),theory(equality)],[163,43]),
[iquote('0:Res:163.0,43.1')] ).
cnf(168,plain,
( ~ atomic(tptp3)
| arboreal(skf31(u)) ),
inference(obv,[status(thm),theory(equality)],[167]),
[iquote('0:Obv:167.1')] ).
cnf(169,plain,
arboreal(skf31(u)),
inference(ssi,[status(thm)],[168,3]),
[iquote('0:SSi:168.0,3.0')] ).
cnf(218,plain,
root(skf32(skc1),skf18(skf32(skc1),u)),
inference(res,[status(thm),theory(equality)],[97,39]),
[iquote('0:Res:97.0,39.0')] ).
cnf(222,plain,
legal(skf32(skc1)),
inference(res,[status(thm),theory(equality)],[218,19]),
[iquote('0:Res:218.0,19.0')] ).
cnf(228,plain,
min_precedes(skf32(skc1),skf31(skc1),tptp0),
inference(res,[status(thm),theory(equality)],[96,36]),
[iquote('0:Res:96.0,36.0')] ).
cnf(232,plain,
~ leaf_occ(skf32(skc1),skc1),
inference(res,[status(thm),theory(equality)],[228,89]),
[iquote('0:Res:228.0,89.1')] ).
cnf(235,plain,
( ~ occurrence_of(u,tptp0)
| min_precedes(skf32(u),skf31(u),tptp0) ),
inference(res,[status(thm),theory(equality)],[55,36]),
[iquote('0:Res:55.1,36.0')] ).
cnf(363,plain,
( ~ activity_occurrence(u)
| ~ occurrence_of(u,v)
| equal(v,skf23(u)) ),
inference(res,[status(thm),theory(equality)],[30,57]),
[iquote('0:Res:30.1,57.0')] ).
cnf(371,plain,
( ~ occurrence_of(u,v)
| equal(v,skf23(u)) ),
inference(mrr,[status(thm)],[363,23]),
[iquote('0:MRR:363.0,23.1')] ).
cnf(404,plain,
( occurrence_of(skf31(u),tptp3)
| equal(skf23(skf31(u)),tptp2) ),
inference(res,[status(thm),theory(equality)],[33,371]),
[iquote('0:Res:33.0,371.0')] ).
cnf(514,plain,
subactivity_occurrence(skf32(skc1),skf25(skf31(skc1),skf32(skc1),u)),
inference(res,[status(thm),theory(equality)],[228,61]),
[iquote('0:Res:228.0,61.0')] ).
cnf(515,plain,
( ~ occurrence_of(u,tptp0)
| subactivity_occurrence(skf32(u),skf25(skf31(u),skf32(u),v)) ),
inference(res,[status(thm),theory(equality)],[235,61]),
[iquote('0:Res:235.1,61.0')] ).
cnf(521,plain,
( ~ arboreal(skf32(skc1))
| ~ occurrence_of(skf25(skf31(skc1),skf32(skc1),u),tptp0)
| leaf_occ(skf32(skc1),skf25(skf31(skc1),skf32(skc1),u)) ),
inference(res,[status(thm),theory(equality)],[514,113]),
[iquote('1:Res:514.0,113.1')] ).
cnf(522,plain,
( ~ occurrence_of(skf25(skf31(skc1),skf32(skc1),u),tptp0)
| leaf_occ(skf32(skc1),skf25(skf31(skc1),skf32(skc1),u)) ),
inference(ssi,[status(thm)],[521,222,124,95,161]),
[iquote('1:SSi:521.0,222.0,124.0,95.0,161.0,95.0')] ).
cnf(567,plain,
( ~ leaf_occ(skf32(skc1),u)
| ~ occurrence_of(u,tptp0) ),
inference(res,[status(thm),theory(equality)],[228,70]),
[iquote('0:Res:228.0,70.2')] ).
cnf(568,plain,
( ~ occurrence_of(u,tptp0)
| ~ leaf_occ(skf32(u),v)
| ~ occurrence_of(v,tptp0) ),
inference(res,[status(thm),theory(equality)],[235,70]),
[iquote('0:Res:235.1,70.2')] ).
cnf(569,plain,
~ occurrence_of(skf25(skf31(skc1),skf32(skc1),u),tptp0),
inference(mrr,[status(thm)],[522,567]),
[iquote('1:MRR:522.1,567.0')] ).
cnf(570,plain,
~ min_precedes(skf32(skc1),skf31(skc1),tptp0),
inference(res,[status(thm),theory(equality)],[60,569]),
[iquote('1:Res:60.1,569.0')] ).
cnf(571,plain,
$false,
inference(mrr,[status(thm)],[570,228]),
[iquote('1:MRR:570.0,228.0')] ).
cnf(572,plain,
occurrence_of(skf33(u),tptp1),
inference(spt,[spt(split,[position(s2)])],[82]),
[iquote('1:Spt:571.0,82.4')] ).
cnf(573,plain,
equal(skf23(skf33(u)),tptp1),
inference(res,[status(thm),theory(equality)],[572,371]),
[iquote('1:Res:572.0,371.0')] ).
cnf(577,plain,
activity_occurrence(skf33(u)),
inference(res,[status(thm),theory(equality)],[572,23]),
[iquote('1:Res:572.0,23.0')] ).
cnf(579,plain,
( ~ atomic(tptp1)
| arboreal(skf33(u)) ),
inference(res,[status(thm),theory(equality)],[572,43]),
[iquote('1:Res:572.0,43.1')] ).
cnf(580,plain,
arboreal(skf33(u)),
inference(ssi,[status(thm)],[579,5]),
[iquote('1:SSi:579.0,5.0')] ).
cnf(775,plain,
( ~ occurrence_of(u,tptp0)
| ~ min_precedes(v,skf31(u),tptp0)
| ~ min_precedes(skf32(u),v,tptp0) ),
inference(res,[status(thm),theory(equality)],[55,75]),
[iquote('0:Res:55.1,75.0')] ).
cnf(778,plain,
( ~ root(skf30(skc1,u),tptp0)
| root_occ(skf30(skc1,u),skc1) ),
inference(res,[status(thm),theory(equality)],[110,86]),
[iquote('0:Res:110.0,86.0')] ).
cnf(779,plain,
root_occ(skf30(skc1,tptp0),skc1),
inference(res,[status(thm),theory(equality)],[109,778]),
[iquote('0:Res:109.0,778.0')] ).
cnf(843,plain,
( ~ root_occ(u,skc1)
| equal(u,skf32(skc1)) ),
inference(res,[status(thm),theory(equality)],[97,85]),
[iquote('0:Res:97.0,85.0')] ).
cnf(858,plain,
equal(skf30(skc1,tptp0),skf32(skc1)),
inference(res,[status(thm),theory(equality)],[779,843]),
[iquote('0:Res:779.0,843.0')] ).
cnf(880,plain,
subactivity_occurrence(skf32(skc1),skc1),
inference(spr,[status(thm),theory(equality)],[858,110]),
[iquote('0:SpR:858.0,110.0')] ).
cnf(943,plain,
( ~ arboreal(skf32(skc1))
| ~ occurrence_of(skc1,tptp0)
| leaf_occ(skf32(skc1),skc1)
| next_subocc(skf32(skc1),skf33(skf32(skc1)),tptp0) ),
inference(res,[status(thm),theory(equality)],[880,83]),
[iquote('0:Res:880.0,83.1')] ).
cnf(944,plain,
( ~ occurrence_of(skc1,tptp0)
| leaf_occ(skf32(skc1),skc1)
| next_subocc(skf32(skc1),skf33(skf32(skc1)),tptp0) ),
inference(ssi,[status(thm)],[943,222,124,95,161]),
[iquote('0:SSi:943.0,222.0,124.0,95.0,161.0,95.0')] ).
cnf(945,plain,
next_subocc(skf32(skc1),skf33(skf32(skc1)),tptp0),
inference(mrr,[status(thm)],[944,6,232]),
[iquote('0:MRR:944.0,944.1,6.0,232.0')] ).
cnf(948,plain,
min_precedes(skf32(skc1),skf33(skf32(skc1)),tptp0),
inference(res,[status(thm),theory(equality)],[945,36]),
[iquote('0:Res:945.0,36.0')] ).
cnf(954,plain,
subactivity_occurrence(skf33(skf32(skc1)),skf25(skf33(skf32(skc1)),u,v)),
inference(res,[status(thm),theory(equality)],[948,62]),
[iquote('0:Res:948.0,62.0')] ).
cnf(955,plain,
subactivity_occurrence(skf32(skc1),skf25(skf33(skf32(skc1)),skf32(skc1),u)),
inference(res,[status(thm),theory(equality)],[948,61]),
[iquote('0:Res:948.0,61.0')] ).
cnf(961,plain,
precedes(skf32(skc1),skf33(skf32(skc1))),
inference(res,[status(thm),theory(equality)],[948,31]),
[iquote('0:Res:948.0,31.0')] ).
cnf(967,plain,
( ~ root_occ(skf33(skf32(skc1)),u)
| ~ occurrence_of(u,tptp0) ),
inference(res,[status(thm),theory(equality)],[948,69]),
[iquote('0:Res:948.0,69.2')] ).
cnf(969,plain,
legal(skf33(skf32(skc1))),
inference(res,[status(thm),theory(equality)],[961,18]),
[iquote('0:Res:961.0,18.0')] ).
cnf(970,plain,
( ~ arboreal(u)
| ~ arboreal(v)
| ~ leaf_occ(u,w)
| ~ occurrence_of(w,x)
| ~ subactivity_occurrence(v,w)
| equal(v,u)
| min_precedes(u,v,x)
| min_precedes(v,u,x) ),
inference(res,[status(thm),theory(equality)],[29,84]),
[iquote('0:Res:29.1,84.2')] ).
cnf(971,plain,
( ~ arboreal(u)
| ~ arboreal(v)
| ~ root_occ(u,w)
| ~ occurrence_of(w,x)
| ~ subactivity_occurrence(v,w)
| equal(v,u)
| min_precedes(u,v,x)
| min_precedes(v,u,x) ),
inference(res,[status(thm),theory(equality)],[28,84]),
[iquote('0:Res:28.1,84.2')] ).
cnf(977,plain,
( ~ arboreal(u)
| ~ arboreal(v)
| ~ root_occ(u,w)
| ~ occurrence_of(w,x)
| ~ subactivity_occurrence(v,w)
| equal(v,u)
| min_precedes(u,v,x) ),
inference(mrr,[status(thm)],[971,69]),
[iquote('0:MRR:971.7,69.2')] ).
cnf(978,plain,
( ~ arboreal(u)
| ~ arboreal(v)
| ~ leaf_occ(u,w)
| ~ occurrence_of(w,x)
| ~ subactivity_occurrence(v,w)
| equal(v,u)
| min_precedes(v,u,x) ),
inference(mrr,[status(thm)],[970,70]),
[iquote('0:MRR:970.6,70.2')] ).
cnf(1016,plain,
( ~ arboreal(skf33(skf32(skc1)))
| ~ occurrence_of(skf25(skf33(skf32(skc1)),u,v),tptp0)
| root_occ(skf33(skf32(skc1)),skf25(skf33(skf32(skc1)),u,v))
| leaf_occ(skf33(skf32(skc1)),skf25(skf33(skf32(skc1)),u,v)) ),
inference(res,[status(thm),theory(equality)],[954,81]),
[iquote('0:Res:954.0,81.1')] ).
cnf(1023,plain,
( ~ occurrence_of(skf25(skf33(skf32(skc1)),u,v),tptp0)
| root_occ(skf33(skf32(skc1)),skf25(skf33(skf32(skc1)),u,v))
| leaf_occ(skf33(skf32(skc1)),skf25(skf33(skf32(skc1)),u,v)) ),
inference(ssi,[status(thm)],[1016,969,577,222,124,95,161,580]),
[iquote('1:SSi:1016.0,969.0,577.0,222.0,124.0,95.0,161.0,95.0,580.0,222.0,124.0,95.0,161.0,95.0')] ).
cnf(1024,plain,
( ~ occurrence_of(skf25(skf33(skf32(skc1)),u,v),tptp0)
| leaf_occ(skf33(skf32(skc1)),skf25(skf33(skf32(skc1)),u,v)) ),
inference(mrr,[status(thm)],[1023,967]),
[iquote('1:MRR:1023.1,967.0')] ).
cnf(1354,plain,
( ~ arboreal(skf32(u))
| ~ occurrence_of(u,tptp0)
| ~ occurrence_of(skf25(skf31(u),skf32(u),v),tptp0)
| leaf_occ(skf32(u),skf25(skf31(u),skf32(u),v))
| next_subocc(skf32(u),skf33(skf32(u)),tptp0) ),
inference(res,[status(thm),theory(equality)],[515,83]),
[iquote('0:Res:515.1,83.1')] ).
cnf(1361,plain,
( ~ occurrence_of(u,tptp0)
| ~ occurrence_of(skf25(skf31(u),skf32(u),v),tptp0)
| leaf_occ(skf32(u),skf25(skf31(u),skf32(u),v))
| next_subocc(skf32(u),skf33(skf32(u)),tptp0) ),
inference(ssi,[status(thm)],[1354,124,161]),
[iquote('0:SSi:1354.0,124.0,161.0')] ).
cnf(1362,plain,
( ~ occurrence_of(u,tptp0)
| ~ occurrence_of(skf25(skf31(u),skf32(u),v),tptp0)
| next_subocc(skf32(u),skf33(skf32(u)),tptp0) ),
inference(mrr,[status(thm)],[1361,568]),
[iquote('0:MRR:1361.2,568.1')] ).
cnf(2599,plain,
( ~ arboreal(skf32(u))
| ~ arboreal(v)
| ~ occurrence_of(u,tptp0)
| ~ occurrence_of(u,w)
| ~ subactivity_occurrence(v,u)
| equal(v,skf32(u))
| min_precedes(skf32(u),v,w) ),
inference(res,[status(thm),theory(equality)],[34,977]),
[iquote('0:Res:34.1,977.2')] ).
cnf(2601,plain,
( ~ arboreal(u)
| ~ occurrence_of(v,tptp0)
| ~ occurrence_of(v,w)
| ~ subactivity_occurrence(u,v)
| equal(u,skf32(v))
| min_precedes(skf32(v),u,w) ),
inference(ssi,[status(thm)],[2599,124,161]),
[iquote('0:SSi:2599.0,124.0,161.0')] ).
cnf(2619,plain,
( ~ arboreal(skf31(u))
| ~ arboreal(v)
| ~ occurrence_of(u,tptp0)
| ~ occurrence_of(u,w)
| ~ subactivity_occurrence(v,u)
| equal(v,skf31(u))
| min_precedes(v,skf31(u),w) ),
inference(res,[status(thm),theory(equality)],[35,978]),
[iquote('0:Res:35.1,978.2')] ).
cnf(2623,plain,
( ~ arboreal(u)
| ~ occurrence_of(v,tptp0)
| ~ occurrence_of(v,w)
| ~ subactivity_occurrence(u,v)
| equal(u,skf31(v))
| min_precedes(u,skf31(v),w) ),
inference(ssi,[status(thm)],[2619,149,169]),
[iquote('0:SSi:2619.0,149.0,169.0')] ).
cnf(5450,plain,
( ~ arboreal(u)
| ~ occurrence_of(v,tptp0)
| ~ occurrence_of(v,tptp0)
| ~ subactivity_occurrence(u,v)
| ~ root_occ(u,skc1)
| equal(u,skf32(v)) ),
inference(res,[status(thm),theory(equality)],[2601,88]),
[iquote('0:Res:2601.5,88.1')] ).
cnf(5479,plain,
( ~ arboreal(u)
| ~ occurrence_of(v,tptp0)
| ~ subactivity_occurrence(u,v)
| ~ root_occ(u,skc1)
| equal(u,skf32(v)) ),
inference(obv,[status(thm),theory(equality)],[5450]),
[iquote('0:Obv:5450.1')] ).
cnf(5581,plain,
( ~ arboreal(u)
| ~ occurrence_of(v,tptp0)
| ~ occurrence_of(v,tptp0)
| ~ subactivity_occurrence(u,v)
| ~ occurrence_of(v,tptp0)
| ~ min_precedes(skf32(v),u,tptp0)
| equal(u,skf31(v)) ),
inference(res,[status(thm),theory(equality)],[2623,775]),
[iquote('0:Res:2623.5,775.1')] ).
cnf(5601,plain,
( ~ arboreal(u)
| ~ subactivity_occurrence(u,v)
| ~ occurrence_of(v,tptp0)
| ~ min_precedes(skf32(v),u,tptp0)
| equal(u,skf31(v)) ),
inference(obv,[status(thm),theory(equality)],[5581]),
[iquote('0:Obv:5581.2')] ).
cnf(11240,plain,
( ~ arboreal(skf32(skc1))
| ~ occurrence_of(skf25(skf33(skf32(skc1)),skf32(skc1),u),tptp0)
| ~ root_occ(skf32(skc1),skc1)
| equal(skf32(skf25(skf33(skf32(skc1)),skf32(skc1),u)),skf32(skc1)) ),
inference(res,[status(thm),theory(equality)],[955,5479]),
[iquote('0:Res:955.0,5479.2')] ).
cnf(11262,plain,
( ~ occurrence_of(skf25(skf33(skf32(skc1)),skf32(skc1),u),tptp0)
| ~ root_occ(skf32(skc1),skc1)
| equal(skf32(skf25(skf33(skf32(skc1)),skf32(skc1),u)),skf32(skc1)) ),
inference(ssi,[status(thm)],[11240,222,124,95,161]),
[iquote('0:SSi:11240.0,222.0,124.0,95.0,161.0,95.0')] ).
cnf(11263,plain,
( ~ occurrence_of(skf25(skf33(skf32(skc1)),skf32(skc1),u),tptp0)
| equal(skf32(skf25(skf33(skf32(skc1)),skf32(skc1),u)),skf32(skc1)) ),
inference(mrr,[status(thm)],[11262,97]),
[iquote('0:MRR:11262.1,97.0')] ).
cnf(12091,plain,
( ~ min_precedes(skf32(u),skf31(u),tptp0)
| ~ occurrence_of(u,tptp0)
| next_subocc(skf32(u),skf33(skf32(u)),tptp0) ),
inference(res,[status(thm),theory(equality)],[60,1362]),
[iquote('0:Res:60.1,1362.1')] ).
cnf(12092,plain,
( ~ occurrence_of(u,tptp0)
| next_subocc(skf32(u),skf33(skf32(u)),tptp0) ),
inference(mrr,[status(thm)],[12091,235]),
[iquote('0:MRR:12091.0,235.1')] ).
cnf(12096,plain,
( ~ occurrence_of(u,tptp0)
| min_precedes(skf32(u),skf33(skf32(u)),tptp0) ),
inference(res,[status(thm),theory(equality)],[12092,36]),
[iquote('0:Res:12092.1,36.0')] ).
cnf(18299,plain,
( ~ arboreal(skf33(skf32(u)))
| ~ occurrence_of(u,tptp0)
| ~ subactivity_occurrence(skf33(skf32(u)),u)
| ~ occurrence_of(u,tptp0)
| equal(skf33(skf32(u)),skf31(u)) ),
inference(res,[status(thm),theory(equality)],[12096,5601]),
[iquote('0:Res:12096.1,5601.3')] ).
cnf(18315,plain,
( ~ arboreal(skf33(skf32(u)))
| ~ subactivity_occurrence(skf33(skf32(u)),u)
| ~ occurrence_of(u,tptp0)
| equal(skf33(skf32(u)),skf31(u)) ),
inference(obv,[status(thm),theory(equality)],[18299]),
[iquote('0:Obv:18299.1')] ).
cnf(18316,plain,
( ~ subactivity_occurrence(skf33(skf32(u)),u)
| ~ occurrence_of(u,tptp0)
| equal(skf33(skf32(u)),skf31(u)) ),
inference(ssi,[status(thm)],[18315,577,124,161,580]),
[iquote('1:SSi:18315.0,577.0,124.0,161.0,580.0,124.0,161.0')] ).
cnf(18611,plain,
( ~ leaf_occ(skf33(skf32(u)),u)
| ~ occurrence_of(u,tptp0)
| equal(skf33(skf32(u)),skf31(u)) ),
inference(res,[status(thm),theory(equality)],[29,18316]),
[iquote('1:Res:29.1,18316.0')] ).
cnf(41138,plain,
( ~ min_precedes(skf32(skc1),skf33(skf32(skc1)),tptp0)
| equal(skf32(skf25(skf33(skf32(skc1)),skf32(skc1),tptp0)),skf32(skc1)) ),
inference(res,[status(thm),theory(equality)],[60,11263]),
[iquote('0:Res:60.1,11263.0')] ).
cnf(41139,plain,
equal(skf32(skf25(skf33(skf32(skc1)),skf32(skc1),tptp0)),skf32(skc1)),
inference(mrr,[status(thm)],[41138,948]),
[iquote('0:MRR:41138.0,948.0')] ).
cnf(41265,plain,
( ~ leaf_occ(skf33(skf32(skc1)),skf25(skf33(skf32(skc1)),skf32(skc1),tptp0))
| ~ occurrence_of(skf25(skf33(skf32(skc1)),skf32(skc1),tptp0),tptp0)
| equal(skf33(skf32(skf25(skf33(skf32(skc1)),skf32(skc1),tptp0))),skf31(skf25(skf33(skf32(skc1)),skf32(skc1),tptp0))) ),
inference(spl,[status(thm),theory(equality)],[41139,18611]),
[iquote('1:SpL:41139.0,18611.0')] ).
cnf(41343,plain,
( ~ leaf_occ(skf33(skf32(skc1)),skf25(skf33(skf32(skc1)),skf32(skc1),tptp0))
| ~ occurrence_of(skf25(skf33(skf32(skc1)),skf32(skc1),tptp0),tptp0)
| equal(skf31(skf25(skf33(skf32(skc1)),skf32(skc1),tptp0)),skf33(skf32(skc1))) ),
inference(rew,[status(thm),theory(equality)],[41139,41265]),
[iquote('1:Rew:41139.0,41265.2')] ).
cnf(41344,plain,
( ~ occurrence_of(skf25(skf33(skf32(skc1)),skf32(skc1),tptp0),tptp0)
| equal(skf31(skf25(skf33(skf32(skc1)),skf32(skc1),tptp0)),skf33(skf32(skc1))) ),
inference(mrr,[status(thm)],[41343,1024]),
[iquote('1:MRR:41343.0,1024.1')] ).
cnf(50302,plain,
( ~ min_precedes(skf32(skc1),skf33(skf32(skc1)),tptp0)
| equal(skf31(skf25(skf33(skf32(skc1)),skf32(skc1),tptp0)),skf33(skf32(skc1))) ),
inference(res,[status(thm),theory(equality)],[60,41344]),
[iquote('1:Res:60.1,41344.0')] ).
cnf(50303,plain,
equal(skf31(skf25(skf33(skf32(skc1)),skf32(skc1),tptp0)),skf33(skf32(skc1))),
inference(mrr,[status(thm)],[50302,948]),
[iquote('1:MRR:50302.0,948.0')] ).
cnf(50996,plain,
( occurrence_of(skf33(skf32(skc1)),tptp3)
| equal(skf23(skf31(skf25(skf33(skf32(skc1)),skf32(skc1),tptp0))),tptp2) ),
inference(spr,[status(thm),theory(equality)],[50303,404]),
[iquote('1:SpR:50303.0,404.0')] ).
cnf(51028,plain,
( occurrence_of(skf33(skf32(skc1)),tptp3)
| equal(tptp1,tptp2) ),
inference(rew,[status(thm),theory(equality)],[573,50996,50303]),
[iquote('1:Rew:573.0,50996.1,50303.0,50996.1')] ).
cnf(51029,plain,
occurrence_of(skf33(skf32(skc1)),tptp3),
inference(mrr,[status(thm)],[51028,15]),
[iquote('1:MRR:51028.1,15.0')] ).
cnf(51052,plain,
equal(skf23(skf33(skf32(skc1))),tptp3),
inference(res,[status(thm),theory(equality)],[51029,371]),
[iquote('1:Res:51029.0,371.0')] ).
cnf(51062,plain,
equal(tptp1,tptp3),
inference(rew,[status(thm),theory(equality)],[573,51052]),
[iquote('1:Rew:573.0,51052.0')] ).
cnf(51063,plain,
$false,
inference(mrr,[status(thm)],[51062,14]),
[iquote('1:MRR:51062.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PRO005+2 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n007.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 13 03:15:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 63.58/63.76
% 63.58/63.76 SPASS V 3.9
% 63.58/63.76 SPASS beiseite: Proof found.
% 63.58/63.76 % SZS status Theorem
% 63.58/63.76 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 63.58/63.76 SPASS derived 39981 clauses, backtracked 4891 clauses, performed 72 splits and kept 17580 clauses.
% 63.58/63.76 SPASS allocated 149592 KBytes.
% 63.58/63.76 SPASS spent 0:01:03.35 on the problem.
% 63.58/63.76 0:00:00.04 for the input.
% 63.58/63.76 0:00:00.10 for the FLOTTER CNF translation.
% 63.58/63.76 0:00:01.16 for inferences.
% 63.58/63.76 0:00:02.93 for the backtracking.
% 63.58/63.76 0:0:58.32 for the reduction.
% 63.58/63.76
% 63.58/63.76
% 63.58/63.76 Here is a proof with depth 14, length 145 :
% 63.58/63.76 % SZS output start Refutation
% See solution above
% 65.50/65.72 Formulae used in the proof : sos_35 sos_36 sos_37 sos_38 goals sos_34 sos_32 sos_42 sos_43 sos_08 sos_12 sos_29 sos_10 sos_11 sos_18 sos_06 sos_04 sos_13 sos_22 sos_24 sos_30 sos_20 sos_21 sos_02 sos_45 sos_46 sos_28
% 65.50/65.72
%------------------------------------------------------------------------------