%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO093-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 : Sat Jul 16 06:22:16 EDT 2022
% Result : Unsatisfiable 265.70s 265.89s
% Output : Refutation 269.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 28
% Syntax : Number of clauses : 141 ( 52 unt; 46 nHn; 141 RR)
% Number of literals : 276 ( 0 equ; 95 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
open(sk14),
file('GEO093-1.p',unknown),
[] ).
cnf(2,axiom,
part_of(sk15,sk14),
file('GEO093-1.p',unknown),
[] ).
cnf(3,axiom,
part_of(sk16,sk14),
file('GEO093-1.p',unknown),
[] ).
cnf(4,axiom,
meet(sk17,sk15,sk16),
file('GEO093-1.p',unknown),
[] ).
cnf(5,axiom,
~ open(sum__dfg(sk15,sk16)),
file('GEO093-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ incident_c(u,v)
| ~ part_of(v,w)
| incident_c(u,w) ),
file('GEO093-1.p',unknown),
[] ).
cnf(7,axiom,
( part_of(u,v)
| incident_c(ax0_sk1(u,v),u) ),
file('GEO093-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ incident_c(ax0_sk1(u,v),v)
| part_of(u,v) ),
file('GEO093-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ incident_c(u,v)
| ~ equal(v,sum__dfg(w,x))
| incident_c(u,x)
| incident_c(u,w) ),
file('GEO093-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ incident_c(u,v)
| ~ equal(w,sum__dfg(v,x))
| incident_c(u,w) ),
file('GEO093-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ incident_c(u,v)
| ~ equal(w,sum__dfg(x,v))
| incident_c(u,w) ),
file('GEO093-1.p',unknown),
[] ).
cnf(12,axiom,
( equal(u,sum__dfg(v,w))
| incident_c(ax0_sk2(w,v,u),w)
| incident_c(ax0_sk2(w,v,u),v)
| incident_c(ax0_sk2(w,v,u),u) ),
file('GEO093-1.p',unknown),
[] ).
cnf(16,axiom,
( ~ incident_c(ax0_sk2(u,v,w),w)
| ~ incident_c(ax0_sk2(u,v,w),v)
| equal(w,sum__dfg(v,u)) ),
file('GEO093-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ incident_c(ax0_sk2(u,v,w),w)
| ~ incident_c(ax0_sk2(u,v,w),u)
| equal(w,sum__dfg(v,u)) ),
file('GEO093-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ end_point(u,v)
| incident_c(u,v) ),
file('GEO093-1.p',unknown),
[] ).
cnf(26,axiom,
( ~ inner_point(u,v)
| incident_c(u,v) ),
file('GEO093-1.p',unknown),
[] ).
cnf(27,axiom,
( ~ end_point(u,v)
| ~ inner_point(u,v) ),
file('GEO093-1.p',unknown),
[] ).
cnf(30,axiom,
( ~ meet(u,v,w)
| incident_c(u,w) ),
file('GEO093-1.p',unknown),
[] ).
cnf(31,axiom,
( ~ incident_c(u,v)
| ~ incident_c(u,w)
| ~ meet(x,w,v)
| end_point(u,w) ),
file('GEO093-1.p',unknown),
[] ).
cnf(32,axiom,
( ~ incident_c(u,v)
| ~ incident_c(u,w)
| ~ meet(x,w,v)
| end_point(u,v) ),
file('GEO093-1.p',unknown),
[] ).
cnf(36,axiom,
( ~ closed(u)
| ~ end_point(v,u) ),
file('GEO093-1.p',unknown),
[] ).
cnf(37,axiom,
( closed(u)
| end_point(ax0_sk6(u),u) ),
file('GEO093-1.p',unknown),
[] ).
cnf(38,axiom,
( ~ open(u)
| end_point(ax0_sk7(u),u) ),
file('GEO093-1.p',unknown),
[] ).
cnf(39,axiom,
( ~ end_point(u,v)
| open(v) ),
file('GEO093-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ part_of(u,v)
| open(u)
| equal(u,v) ),
file('GEO093-1.p',unknown),
[] ).
cnf(42,axiom,
inner_point(ax0_sk8(u),u),
file('GEO093-1.p',unknown),
[] ).
cnf(48,axiom,
( ~ closed(u)
| ~ end_point(v,w)
| ~ equal(u,sum__dfg(w,x))
| ~ meet(y,w,x)
| meet(v,w,x) ),
file('GEO093-1.p',unknown),
[] ).
cnf(50,axiom,
( equal(u,v)
| incident_c(ax0_sk13(v,u),v)
| incident_c(ax0_sk13(v,u),u) ),
file('GEO093-1.p',unknown),
[] ).
cnf(54,plain,
end_point(ax0_sk7(sk14),sk14),
inference(res,[status(thm),theory(equality)],[1,38]),
[iquote('0:Res:1.0,38.0')] ).
cnf(56,plain,
( ~ incident_c(u,sk16)
| incident_c(u,sk14) ),
inference(res,[status(thm),theory(equality)],[3,6]),
[iquote('0:Res:3.0,6.0')] ).
cnf(57,plain,
( open(sk16)
| equal(sk16,sk14) ),
inference(res,[status(thm),theory(equality)],[3,40]),
[iquote('0:Res:3.0,40.0')] ).
cnf(63,plain,
( ~ incident_c(u,sk15)
| incident_c(u,sk14) ),
inference(res,[status(thm),theory(equality)],[2,6]),
[iquote('0:Res:2.0,6.0')] ).
cnf(64,plain,
( open(sk15)
| equal(sk15,sk14) ),
inference(res,[status(thm),theory(equality)],[2,40]),
[iquote('0:Res:2.0,40.0')] ).
cnf(69,plain,
( ~ incident_c(u,sk16)
| ~ incident_c(u,sk15)
| end_point(u,sk15) ),
inference(res,[status(thm),theory(equality)],[4,31]),
[iquote('0:Res:4.0,31.0')] ).
cnf(70,plain,
( ~ incident_c(u,sk16)
| ~ incident_c(u,sk15)
| end_point(u,sk16) ),
inference(res,[status(thm),theory(equality)],[4,32]),
[iquote('0:Res:4.0,32.0')] ).
cnf(74,plain,
( ~ closed(u)
| ~ end_point(v,sk15)
| ~ equal(u,sum__dfg(sk15,sk16))
| meet(v,sk15,sk16) ),
inference(res,[status(thm),theory(equality)],[4,48]),
[iquote('0:Res:4.0,48.1')] ).
cnf(75,plain,
~ end_point(u,sum__dfg(sk15,sk16)),
inference(res,[status(thm),theory(equality)],[39,5]),
[iquote('0:Res:39.1,5.0')] ).
cnf(76,plain,
( ~ part_of(sum__dfg(sk15,sk16),u)
| equal(sum__dfg(sk15,sk16),u) ),
inference(res,[status(thm),theory(equality)],[40,5]),
[iquote('0:Res:40.2,5.0')] ).
cnf(97,plain,
equal(sk15,sk14),
inference(spt,[spt(split,[position(s1)])],[64]),
[iquote('1:Spt:64.1')] ).
cnf(107,plain,
( ~ incident_c(u,sk16)
| ~ incident_c(u,sk14)
| end_point(u,sk16) ),
inference(rew,[status(thm),theory(equality)],[97,70]),
[iquote('1:Rew:97.0,70.1')] ).
cnf(119,plain,
( ~ incident_c(u,sk16)
| end_point(u,sk16) ),
inference(mrr,[status(thm)],[107,56]),
[iquote('1:MRR:107.1,56.1')] ).
cnf(149,plain,
( closed(u)
| open(u) ),
inference(res,[status(thm),theory(equality)],[37,39]),
[iquote('0:Res:37.1,39.0')] ).
cnf(159,plain,
( ~ open(u)
| ~ closed(u) ),
inference(res,[status(thm),theory(equality)],[38,36]),
[iquote('0:Res:38.1,36.1')] ).
cnf(161,plain,
incident_c(ax0_sk8(u),u),
inference(res,[status(thm),theory(equality)],[42,26]),
[iquote('0:Res:42.0,26.0')] ).
cnf(164,plain,
( closed(u)
| incident_c(ax0_sk6(u),u) ),
inference(res,[status(thm),theory(equality)],[37,18]),
[iquote('0:Res:37.1,18.0')] ).
cnf(166,plain,
~ end_point(ax0_sk8(u),u),
inference(res,[status(thm),theory(equality)],[42,27]),
[iquote('0:Res:42.0,27.1')] ).
cnf(183,plain,
( closed(sk16)
| incident_c(ax0_sk6(sk16),sk14) ),
inference(res,[status(thm),theory(equality)],[164,56]),
[iquote('0:Res:164.1,56.0')] ).
cnf(195,plain,
~ incident_c(ax0_sk8(sk16),sk16),
inference(res,[status(thm),theory(equality)],[119,166]),
[iquote('1:Res:119.1,166.0')] ).
cnf(196,plain,
$false,
inference(mrr,[status(thm)],[195,161]),
[iquote('1:MRR:195.0,161.0')] ).
cnf(197,plain,
~ equal(sk15,sk14),
inference(spt,[spt(split,[position(sa)])],[196,97]),
[iquote('1:Spt:196.0,64.1,97.0')] ).
cnf(198,plain,
open(sk15),
inference(spt,[spt(split,[position(s2)])],[64]),
[iquote('1:Spt:196.0,64.0')] ).
cnf(199,plain,
equal(sk16,sk14),
inference(spt,[spt(split,[position(s2s1)])],[57]),
[iquote('2:Spt:57.1')] ).
cnf(217,plain,
( ~ incident_c(u,sk14)
| ~ incident_c(u,sk15)
| end_point(u,sk15) ),
inference(rew,[status(thm),theory(equality)],[199,69]),
[iquote('2:Rew:199.0,69.0')] ).
cnf(226,plain,
( ~ incident_c(u,sk15)
| end_point(u,sk15) ),
inference(mrr,[status(thm)],[217,63]),
[iquote('2:MRR:217.0,63.1')] ).
cnf(263,plain,
~ incident_c(ax0_sk8(sk15),sk15),
inference(res,[status(thm),theory(equality)],[226,166]),
[iquote('2:Res:226.1,166.0')] ).
cnf(264,plain,
$false,
inference(mrr,[status(thm)],[263,161]),
[iquote('2:MRR:263.0,161.0')] ).
cnf(265,plain,
~ equal(sk16,sk14),
inference(spt,[spt(split,[position(s2sa)])],[264,199]),
[iquote('2:Spt:264.0,57.1,199.0')] ).
cnf(266,plain,
open(sk16),
inference(spt,[spt(split,[position(s2s2)])],[57]),
[iquote('2:Spt:264.0,57.0')] ).
cnf(270,plain,
closed(sum__dfg(sk15,sk16)),
inference(res,[status(thm),theory(equality)],[149,5]),
[iquote('0:Res:149.1,5.0')] ).
cnf(295,plain,
( ~ part_of(u,v)
| part_of(u,w)
| incident_c(ax0_sk1(u,w),v) ),
inference(res,[status(thm),theory(equality)],[7,6]),
[iquote('0:Res:7.1,6.0')] ).
cnf(374,plain,
( ~ incident_c(ax0_sk8(sk15),sk16)
| ~ incident_c(ax0_sk8(sk15),sk15) ),
inference(res,[status(thm),theory(equality)],[69,166]),
[iquote('0:Res:69.2,166.0')] ).
cnf(375,plain,
~ incident_c(ax0_sk8(sk15),sk16),
inference(mrr,[status(thm)],[374,161]),
[iquote('0:MRR:374.1,161.0')] ).
cnf(379,plain,
( ~ incident_c(u,v)
| incident_c(u,sum__dfg(w,v)) ),
inference(eqr,[status(thm),theory(equality)],[11]),
[iquote('0:EqR:11.1')] ).
cnf(383,plain,
( ~ incident_c(ax0_sk1(u,sum__dfg(v,w)),w)
| part_of(u,sum__dfg(v,w)) ),
inference(res,[status(thm),theory(equality)],[379,8]),
[iquote('0:Res:379.1,8.0')] ).
cnf(389,plain,
( ~ incident_c(u,v)
| incident_c(u,sum__dfg(v,w)) ),
inference(eqr,[status(thm),theory(equality)],[10]),
[iquote('0:EqR:10.1')] ).
cnf(396,plain,
( ~ incident_c(ax0_sk1(u,sum__dfg(v,w)),v)
| part_of(u,sum__dfg(v,w)) ),
inference(res,[status(thm),theory(equality)],[389,8]),
[iquote('0:Res:389.1,8.0')] ).
cnf(399,plain,
( equal(u,sk15)
| incident_c(ax0_sk13(sk15,u),u)
| incident_c(ax0_sk13(sk15,u),sk14) ),
inference(res,[status(thm),theory(equality)],[50,63]),
[iquote('0:Res:50.1,63.0')] ).
cnf(443,plain,
( ~ incident_c(u,sum__dfg(v,w))
| incident_c(u,w)
| incident_c(u,v) ),
inference(eqr,[status(thm),theory(equality)],[9]),
[iquote('0:EqR:9.1')] ).
cnf(524,plain,
( part_of(sum__dfg(u,v),w)
| incident_c(ax0_sk1(sum__dfg(u,v),w),v)
| incident_c(ax0_sk1(sum__dfg(u,v),w),u) ),
inference(res,[status(thm),theory(equality)],[7,443]),
[iquote('0:Res:7.1,443.0')] ).
cnf(603,plain,
( equal(sum__dfg(u,v),v)
| incident_c(ax0_sk2(v,u,v),u)
| incident_c(ax0_sk2(v,u,v),v) ),
inference(fac,[status(thm)],[12]),
[iquote('0:Fac:12.1,12.3')] ).
cnf(604,plain,
( equal(sum__dfg(u,v),u)
| incident_c(ax0_sk2(v,u,u),v)
| incident_c(ax0_sk2(v,u,u),u) ),
inference(fac,[status(thm)],[12]),
[iquote('0:Fac:12.2,12.3')] ).
cnf(785,plain,
( equal(sk16,sk15)
| incident_c(ax0_sk13(sk15,sk16),sk14)
| incident_c(ax0_sk13(sk15,sk16),sk14) ),
inference(res,[status(thm),theory(equality)],[399,56]),
[iquote('0:Res:399.1,56.0')] ).
cnf(791,plain,
( equal(sk16,sk15)
| incident_c(ax0_sk13(sk15,sk16),sk14) ),
inference(obv,[status(thm),theory(equality)],[785]),
[iquote('0:Obv:785.1')] ).
cnf(798,plain,
equal(sk16,sk15),
inference(spt,[spt(split,[position(s2s2s1)])],[791]),
[iquote('3:Spt:791.0')] ).
cnf(844,plain,
~ incident_c(ax0_sk8(sk15),sk15),
inference(rew,[status(thm),theory(equality)],[798,375]),
[iquote('3:Rew:798.0,375.0')] ).
cnf(946,plain,
$false,
inference(mrr,[status(thm)],[844,161]),
[iquote('3:MRR:844.0,161.0')] ).
cnf(1030,plain,
~ equal(sk16,sk15),
inference(spt,[spt(split,[position(s2s2sa)])],[946,798]),
[iquote('3:Spt:946.0,791.0,798.0')] ).
cnf(1031,plain,
incident_c(ax0_sk13(sk15,sk16),sk14),
inference(spt,[spt(split,[position(s2s2s2)])],[791]),
[iquote('3:Spt:946.0,791.1')] ).
cnf(1067,plain,
closed(sk16),
inference(spt,[spt(split,[position(s2s2s2s1)])],[183]),
[iquote('4:Spt:183.0')] ).
cnf(1069,plain,
$false,
inference(ems,[status(thm)],[159,266,1067]),
[iquote('4:EmS:159.0,159.1,266.0,1067.0')] ).
cnf(1071,plain,
~ closed(sk16),
inference(spt,[spt(split,[position(s2s2s2sa)])],[1069,1067]),
[iquote('4:Spt:1069.0,183.0,1067.0')] ).
cnf(1072,plain,
incident_c(ax0_sk6(sk16),sk14),
inference(spt,[spt(split,[position(s2s2s2s2)])],[183]),
[iquote('4:Spt:1069.0,183.1')] ).
cnf(1256,plain,
( ~ closed(sum__dfg(sk15,sk16))
| ~ end_point(u,sk15)
| meet(u,sk15,sk16) ),
inference(eqr,[status(thm),theory(equality)],[74]),
[iquote('0:EqR:74.2')] ).
cnf(1257,plain,
( ~ end_point(u,sk15)
| meet(u,sk15,sk16) ),
inference(ssi,[status(thm)],[1256,270]),
[iquote('0:SSi:1256.0,270.0')] ).
cnf(1260,plain,
( ~ end_point(u,sk15)
| incident_c(u,sk16) ),
inference(res,[status(thm),theory(equality)],[1257,30]),
[iquote('0:Res:1257.1,30.0')] ).
cnf(1264,plain,
( closed(sk15)
| incident_c(ax0_sk6(sk15),sk16) ),
inference(res,[status(thm),theory(equality)],[37,1260]),
[iquote('0:Res:37.1,1260.0')] ).
cnf(1271,plain,
closed(sk15),
inference(spt,[spt(split,[position(s2s2s2s2s1)])],[1264]),
[iquote('5:Spt:1264.0')] ).
cnf(1273,plain,
$false,
inference(ems,[status(thm)],[159,198,1271]),
[iquote('5:EmS:159.0,159.1,198.0,1271.0')] ).
cnf(1275,plain,
~ closed(sk15),
inference(spt,[spt(split,[position(s2s2s2s2sa)])],[1273,1271]),
[iquote('5:Spt:1273.0,1264.0,1271.0')] ).
cnf(1276,plain,
incident_c(ax0_sk6(sk15),sk16),
inference(spt,[spt(split,[position(s2s2s2s2s2)])],[1264]),
[iquote('5:Spt:1273.0,1264.1')] ).
cnf(1815,plain,
( ~ incident_c(ax0_sk2(u,v,u),u)
| equal(sum__dfg(v,u),u)
| incident_c(ax0_sk2(u,v,u),v)
| equal(sum__dfg(v,u),u) ),
inference(res,[status(thm),theory(equality)],[603,17]),
[iquote('0:Res:603.2,17.0')] ).
cnf(1818,plain,
( ~ incident_c(ax0_sk2(u,v,u),u)
| incident_c(ax0_sk2(u,v,u),v)
| equal(sum__dfg(v,u),u) ),
inference(obv,[status(thm),theory(equality)],[1815]),
[iquote('0:Obv:1815.1')] ).
cnf(1819,plain,
( incident_c(ax0_sk2(u,v,u),v)
| equal(sum__dfg(v,u),u) ),
inference(mrr,[status(thm)],[1818,603]),
[iquote('0:MRR:1818.0,603.2')] ).
cnf(1869,plain,
( ~ incident_c(ax0_sk2(u,v,v),v)
| equal(sum__dfg(v,u),v)
| incident_c(ax0_sk2(u,v,v),u)
| equal(sum__dfg(v,u),v) ),
inference(res,[status(thm),theory(equality)],[604,16]),
[iquote('0:Res:604.2,16.0')] ).
cnf(1873,plain,
( ~ incident_c(ax0_sk2(u,v,v),v)
| incident_c(ax0_sk2(u,v,v),u)
| equal(sum__dfg(v,u),v) ),
inference(obv,[status(thm),theory(equality)],[1869]),
[iquote('0:Obv:1869.1')] ).
cnf(1874,plain,
( incident_c(ax0_sk2(u,v,v),u)
| equal(sum__dfg(v,u),v) ),
inference(mrr,[status(thm)],[1873,604]),
[iquote('0:MRR:1873.0,604.2')] ).
cnf(2384,plain,
( equal(sum__dfg(sk16,u),u)
| incident_c(ax0_sk2(u,sk16,u),sk14) ),
inference(res,[status(thm),theory(equality)],[1819,56]),
[iquote('0:Res:1819.0,56.0')] ).
cnf(2453,plain,
( ~ incident_c(ax0_sk2(sk14,sk16,sk14),sk16)
| equal(sum__dfg(sk16,sk14),sk14)
| equal(sum__dfg(sk16,sk14),sk14) ),
inference(res,[status(thm),theory(equality)],[2384,16]),
[iquote('0:Res:2384.1,16.0')] ).
cnf(2455,plain,
( ~ incident_c(ax0_sk2(sk14,sk16,sk14),sk16)
| equal(sum__dfg(sk16,sk14),sk14) ),
inference(obv,[status(thm),theory(equality)],[2453]),
[iquote('0:Obv:2453.1')] ).
cnf(2456,plain,
equal(sum__dfg(sk16,sk14),sk14),
inference(mrr,[status(thm)],[2455,1819]),
[iquote('0:MRR:2455.0,1819.0')] ).
cnf(2682,plain,
( equal(sum__dfg(u,sk15),u)
| incident_c(ax0_sk2(sk15,u,u),sk14) ),
inference(res,[status(thm),theory(equality)],[1874,63]),
[iquote('0:Res:1874.0,63.0')] ).
cnf(2685,plain,
( equal(sum__dfg(u,sk16),u)
| incident_c(ax0_sk2(sk16,u,u),sk14) ),
inference(res,[status(thm),theory(equality)],[1874,56]),
[iquote('0:Res:1874.0,56.0')] ).
cnf(2697,plain,
( ~ incident_c(ax0_sk2(sk15,sk14,sk14),sk14)
| equal(sum__dfg(sk14,sk15),sk14)
| equal(sum__dfg(sk14,sk15),sk14) ),
inference(res,[status(thm),theory(equality)],[2682,16]),
[iquote('0:Res:2682.1,16.0')] ).
cnf(2699,plain,
( ~ incident_c(ax0_sk2(sk15,sk14,sk14),sk14)
| equal(sum__dfg(sk14,sk15),sk14) ),
inference(obv,[status(thm),theory(equality)],[2697]),
[iquote('0:Obv:2697.1')] ).
cnf(2700,plain,
equal(sum__dfg(sk14,sk15),sk14),
inference(mrr,[status(thm)],[2699,2682]),
[iquote('0:MRR:2699.0,2682.1')] ).
cnf(2754,plain,
( ~ incident_c(ax0_sk2(sk16,sk14,sk14),sk14)
| equal(sum__dfg(sk14,sk16),sk14)
| equal(sum__dfg(sk14,sk16),sk14) ),
inference(res,[status(thm),theory(equality)],[2685,16]),
[iquote('0:Res:2685.1,16.0')] ).
cnf(2756,plain,
( ~ incident_c(ax0_sk2(sk16,sk14,sk14),sk14)
| equal(sum__dfg(sk14,sk16),sk14) ),
inference(obv,[status(thm),theory(equality)],[2754]),
[iquote('0:Obv:2754.1')] ).
cnf(2757,plain,
equal(sum__dfg(sk14,sk16),sk14),
inference(mrr,[status(thm)],[2756,2685]),
[iquote('0:MRR:2756.0,2685.1')] ).
cnf(4066,plain,
( ~ incident_c(ax0_sk1(u,sk14),sk15)
| part_of(u,sum__dfg(sk14,sk15)) ),
inference(spl,[status(thm),theory(equality)],[2700,383]),
[iquote('0:SpL:2700.0,383.0')] ).
cnf(4067,plain,
( ~ incident_c(ax0_sk1(u,sk14),sk16)
| part_of(u,sum__dfg(sk14,sk16)) ),
inference(spl,[status(thm),theory(equality)],[2757,383]),
[iquote('0:SpL:2757.0,383.0')] ).
cnf(4077,plain,
( part_of(u,sum__dfg(v,u))
| part_of(u,sum__dfg(v,u)) ),
inference(res,[status(thm),theory(equality)],[7,383]),
[iquote('0:Res:7.1,383.0')] ).
cnf(4083,plain,
( ~ part_of(u,v)
| part_of(u,sum__dfg(w,v))
| part_of(u,sum__dfg(w,v)) ),
inference(res,[status(thm),theory(equality)],[295,383]),
[iquote('0:Res:295.2,383.0')] ).
cnf(4086,plain,
part_of(u,sum__dfg(v,u)),
inference(obv,[status(thm),theory(equality)],[4077]),
[iquote('0:Obv:4077.0')] ).
cnf(4089,plain,
( ~ incident_c(ax0_sk1(u,sk14),sk15)
| part_of(u,sk14) ),
inference(rew,[status(thm),theory(equality)],[2700,4066]),
[iquote('0:Rew:2700.0,4066.1')] ).
cnf(4090,plain,
( ~ incident_c(ax0_sk1(u,sk14),sk16)
| part_of(u,sk14) ),
inference(rew,[status(thm),theory(equality)],[2757,4067]),
[iquote('0:Rew:2757.0,4067.1')] ).
cnf(4101,plain,
( ~ part_of(u,v)
| part_of(u,sum__dfg(w,v)) ),
inference(obv,[status(thm),theory(equality)],[4083]),
[iquote('0:Obv:4083.1')] ).
cnf(4186,plain,
equal(sum__dfg(u,sum__dfg(sk15,sk16)),sum__dfg(sk15,sk16)),
inference(res,[status(thm),theory(equality)],[4086,76]),
[iquote('0:Res:4086.0,76.0')] ).
cnf(4734,plain,
( part_of(u,sum__dfg(u,v))
| part_of(u,sum__dfg(u,v)) ),
inference(res,[status(thm),theory(equality)],[7,396]),
[iquote('0:Res:7.1,396.0')] ).
cnf(4743,plain,
part_of(u,sum__dfg(u,v)),
inference(obv,[status(thm),theory(equality)],[4734]),
[iquote('0:Obv:4734.0')] ).
cnf(4868,plain,
part_of(u,sum__dfg(sk15,sk16)),
inference(spr,[status(thm),theory(equality)],[4186,4743]),
[iquote('0:SpR:4186.0,4743.0')] ).
cnf(4942,plain,
( open(u)
| equal(u,sum__dfg(sk15,sk16)) ),
inference(res,[status(thm),theory(equality)],[4868,40]),
[iquote('0:Res:4868.0,40.0')] ).
cnf(5120,plain,
( ~ part_of(u,v)
| open(u)
| equal(sum__dfg(sk15,sk16),v) ),
inference(spl,[status(thm),theory(equality)],[4942,76]),
[iquote('0:SpL:4942.1,76.0')] ).
cnf(7734,plain,
( part_of(sum__dfg(u,sk15),sk14)
| incident_c(ax0_sk1(sum__dfg(u,sk15),sk14),u)
| part_of(sum__dfg(u,sk15),sk14) ),
inference(res,[status(thm),theory(equality)],[524,4089]),
[iquote('0:Res:524.1,4089.0')] ).
cnf(7735,plain,
( part_of(sum__dfg(u,sk16),sk14)
| incident_c(ax0_sk1(sum__dfg(u,sk16),sk14),u)
| part_of(sum__dfg(u,sk16),sk14) ),
inference(res,[status(thm),theory(equality)],[524,4090]),
[iquote('0:Res:524.1,4090.0')] ).
cnf(7769,plain,
( incident_c(ax0_sk1(sum__dfg(u,sk15),sk14),u)
| part_of(sum__dfg(u,sk15),sk14) ),
inference(obv,[status(thm),theory(equality)],[7734]),
[iquote('0:Obv:7734.0')] ).
cnf(7770,plain,
( incident_c(ax0_sk1(sum__dfg(u,sk16),sk14),u)
| part_of(sum__dfg(u,sk16),sk14) ),
inference(obv,[status(thm),theory(equality)],[7735]),
[iquote('0:Obv:7735.0')] ).
cnf(10507,plain,
( ~ part_of(u,v)
| open(u)
| equal(u,sum__dfg(w,v)) ),
inference(res,[status(thm),theory(equality)],[4101,40]),
[iquote('0:Res:4101.1,40.0')] ).
cnf(44130,plain,
( part_of(sum__dfg(sk16,sk15),sk14)
| part_of(sum__dfg(sk16,sk15),sk14) ),
inference(res,[status(thm),theory(equality)],[7769,4090]),
[iquote('0:Res:7769.0,4090.0')] ).
cnf(44150,plain,
part_of(sum__dfg(sk16,sk15),sk14),
inference(obv,[status(thm),theory(equality)],[44130]),
[iquote('0:Obv:44130.0')] ).
cnf(44179,plain,
( open(sum__dfg(sk16,sk15))
| equal(sum__dfg(sk15,sk16),sk14) ),
inference(res,[status(thm),theory(equality)],[44150,5120]),
[iquote('0:Res:44150.0,5120.0')] ).
cnf(44228,plain,
equal(sum__dfg(sk15,sk16),sk14),
inference(spt,[spt(split,[position(s2s2s2s2s2s1)])],[44179]),
[iquote('6:Spt:44179.1')] ).
cnf(44231,plain,
~ end_point(u,sk14),
inference(rew,[status(thm),theory(equality)],[44228,75]),
[iquote('6:Rew:44228.0,75.0')] ).
cnf(45545,plain,
$false,
inference(unc,[status(thm)],[44231,54]),
[iquote('6:UnC:44231.0,54.0')] ).
cnf(55614,plain,
~ equal(sum__dfg(sk15,sk16),sk14),
inference(spt,[spt(split,[position(s2s2s2s2s2sa)])],[45545,44228]),
[iquote('6:Spt:45545.0,44179.1,44228.0')] ).
cnf(55615,plain,
open(sum__dfg(sk16,sk15)),
inference(spt,[spt(split,[position(s2s2s2s2s2s2)])],[44179]),
[iquote('6:Spt:45545.0,44179.0')] ).
cnf(83126,plain,
( part_of(sum__dfg(sk15,sk16),sk14)
| part_of(sum__dfg(sk15,sk16),sk14) ),
inference(res,[status(thm),theory(equality)],[7770,4089]),
[iquote('0:Res:7770.0,4089.0')] ).
cnf(83146,plain,
part_of(sum__dfg(sk15,sk16),sk14),
inference(obv,[status(thm),theory(equality)],[83126]),
[iquote('0:Obv:83126.0')] ).
cnf(83172,plain,
( open(sum__dfg(sk15,sk16))
| equal(sum__dfg(sk15,sk16),sum__dfg(u,sk14)) ),
inference(res,[status(thm),theory(equality)],[83146,10507]),
[iquote('0:Res:83146.0,10507.0')] ).
cnf(83230,plain,
equal(sum__dfg(sk15,sk16),sum__dfg(u,sk14)),
inference(mrr,[status(thm)],[83172,5]),
[iquote('0:MRR:83172.0,5.0')] ).
cnf(83231,plain,
equal(sum__dfg(sk15,sk16),sk14),
inference(rew,[status(thm),theory(equality)],[83230,2456]),
[iquote('0:Rew:83230.0,2456.0')] ).
cnf(83232,plain,
$false,
inference(mrr,[status(thm)],[83231,55614]),
[iquote('6:MRR:83231.0,55614.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO093-1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.09 % Command : run_spass %d %s
% 0.09/0.29 % Computer : n020.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Sat Jun 18 00:58:03 EDT 2022
% 0.09/0.29 % CPUTime :
% 265.70/265.89
% 265.70/265.89 SPASS V 3.9
% 265.70/265.89 SPASS beiseite: Proof found.
% 265.70/265.89 % SZS status Theorem
% 265.70/265.89 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 265.70/265.89 SPASS derived 72100 clauses, backtracked 7799 clauses, performed 31 splits and kept 26834 clauses.
% 265.70/265.89 SPASS allocated 155505 KBytes.
% 265.70/265.89 SPASS spent 0:4:25.49 on the problem.
% 265.70/265.89 0:00:00.03 for the input.
% 265.70/265.89 0:00:00.00 for the FLOTTER CNF translation.
% 265.70/265.89 0:00:01.40 for inferences.
% 265.70/265.89 0:0:10.59 for the backtracking.
% 265.70/265.89 0:4:12.72 for the reduction.
% 265.70/265.89
% 265.70/265.89
% 265.70/265.89 Here is a proof with depth 9, length 141 :
% 265.70/265.89 % SZS output start Refutation
% See solution above
% 269.11/269.28 Formulae used in the proof : proposition_2_14_2_67 proposition_2_14_2_68 proposition_2_14_2_69 proposition_2_14_2_70 proposition_2_14_2_71 part_of_defn_1 part_of_defn_2 part_of_defn_3 sum_defn_4 sum_defn_5 sum_defn_6 sum_defn_7 sum_defn_11 sum_defn_12 end_point_defn_13 inner_point_defn_21 inner_point_defn_22 meet_defn_25 meet_defn_26 meet_defn_27 closed_defn_31 closed_defn_32 open_defn_33 open_defn_34 c1_35 c3_37 c7_43 c9_45
% 269.11/269.28
%------------------------------------------------------------------------------