TSTP Solution File: GEO650+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO650+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 06:25:43 EDT 2022
% Result : Theorem 32.35s 32.52s
% Output : Refutation 32.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 44
% Syntax : Number of clauses : 187 ( 87 unt; 2 nHn; 187 RR)
% Number of literals : 343 ( 0 equ; 156 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 18 ( 18 usr; 17 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
midp(skc19,skc17,skc14),
file('GEO650+1.p',unknown),
[] ).
cnf(2,axiom,
midp(skc18,skc17,skc15),
file('GEO650+1.p',unknown),
[] ).
cnf(3,axiom,
midp(skc16,skc15,skc14),
file('GEO650+1.p',unknown),
[] ).
cnf(5,axiom,
coll(skc12,skc17,skc14),
file('GEO650+1.p',unknown),
[] ).
cnf(7,axiom,
perp(skc17,skc15,skc18,skc10),
file('GEO650+1.p',unknown),
[] ).
cnf(13,axiom,
~ para(skc12,skc13,skc17,skc15),
file('GEO650+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO650+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO650+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO650+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ midp(u,v,w)
| coll(u,v,w) ),
file('GEO650+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ midp(u,v,w)
| cong(u,v,u,w) ),
file('GEO650+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO650+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO650+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ perp(u,v,w,x)
| perp(u,v,x,w) ),
file('GEO650+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO650+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,w,v,x) ),
file('GEO650+1.p',unknown),
[] ).
cnf(28,axiom,
( ~ cong(u,v,w,x)
| cong(w,x,u,v) ),
file('GEO650+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO650+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO650+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO650+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO650+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ midp(u,v,w)
| ~ midp(x,v,y)
| para(x,u,y,w) ),
file('GEO650+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ cong(u,v,u,w)
| eqangle(u,v,v,w,v,w,u,w) ),
file('GEO650+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO650+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ coll(u,v,w)
| ~ cong(u,v,u,w)
| midp(u,v,w) ),
file('GEO650+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ midp(u,v,w)
| ~ perp(x,u,v,w)
| cong(x,v,x,w) ),
file('GEO650+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO650+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ cong(u,v,u,w)
| ~ cong(u,v,u,x)
| circle(u,v,x,w) ),
file('GEO650+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO650+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ cong(u,v,w,x)
| ~ cong(y,z,u,v)
| cong(y,z,w,x) ),
file('GEO650+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO650+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO650+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO650+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO650+1.p',unknown),
[] ).
cnf(74,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO650+1.p',unknown),
[] ).
cnf(83,axiom,
( ~ coll(u,v,w)
| ~ midp(x,v,y)
| ~ para(x,u,y,w)
| midp(u,v,w) ),
file('GEO650+1.p',unknown),
[] ).
cnf(84,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO650+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,w,x)
| para(y,z,x1,x2) ),
file('GEO650+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ midp(u,v,w)
| ~ para(v,x,w,y)
| ~ para(v,y,w,x)
| midp(u,y,x) ),
file('GEO650+1.p',unknown),
[] ).
cnf(95,axiom,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| eqangle(u,x,w,x,w,x,w,v) ),
file('GEO650+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ circle(u,v,w,x)
| ~ eqangle(v,y,v,w,x,v,x,w)
| perp(u,v,v,y) ),
file('GEO650+1.p',unknown),
[] ).
cnf(97,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO650+1.p',unknown),
[] ).
cnf(100,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO650+1.p',unknown),
[] ).
cnf(126,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| ~ cyclic(u,v,w,z)
| ~ eqangle(w,u,w,v,z,x,z,y)
| cong(u,v,x,y) ),
file('GEO650+1.p',unknown),
[] ).
cnf(152,plain,
coll(skc12,skc14,skc17),
inference(res,[status(thm),theory(equality)],[5,14]),
[iquote('0:Res:5.0,14.0')] ).
cnf(153,plain,
coll(skc17,skc12,skc14),
inference(res,[status(thm),theory(equality)],[5,15]),
[iquote('0:Res:5.0,15.0')] ).
cnf(155,plain,
( ~ coll(skc12,skc17,u)
| coll(u,skc14,skc12) ),
inference(res,[status(thm),theory(equality)],[5,31]),
[iquote('0:Res:5.0,31.1')] ).
cnf(201,plain,
( ~ para(skc15,u,skc14,v)
| ~ para(skc15,v,skc14,u)
| midp(skc16,v,u) ),
inference(res,[status(thm),theory(equality)],[3,93]),
[iquote('0:Res:3.0,93.0')] ).
cnf(204,plain,
( ~ coll(u,skc15,v)
| ~ para(skc16,u,skc14,v)
| midp(u,skc15,v) ),
inference(res,[status(thm),theory(equality)],[3,83]),
[iquote('0:Res:3.0,83.0')] ).
cnf(210,plain,
cong(skc16,skc15,skc16,skc14),
inference(res,[status(thm),theory(equality)],[3,19]),
[iquote('0:Res:3.0,19.0')] ).
cnf(211,plain,
midp(skc16,skc14,skc15),
inference(res,[status(thm),theory(equality)],[3,16]),
[iquote('0:Res:3.0,16.0')] ).
cnf(212,plain,
coll(skc16,skc15,skc14),
inference(res,[status(thm),theory(equality)],[3,17]),
[iquote('0:Res:3.0,17.0')] ).
cnf(213,plain,
( ~ midp(skc16,u,v)
| para(u,skc15,v,skc14) ),
inference(res,[status(thm),theory(equality)],[3,43]),
[iquote('0:Res:3.0,43.1')] ).
cnf(227,plain,
( ~ para(skc17,u,skc15,v)
| ~ para(skc17,v,skc15,u)
| midp(skc18,v,u) ),
inference(res,[status(thm),theory(equality)],[2,93]),
[iquote('0:Res:2.0,93.0')] ).
cnf(236,plain,
cong(skc18,skc17,skc18,skc15),
inference(res,[status(thm),theory(equality)],[2,19]),
[iquote('0:Res:2.0,19.0')] ).
cnf(237,plain,
midp(skc18,skc15,skc17),
inference(res,[status(thm),theory(equality)],[2,16]),
[iquote('0:Res:2.0,16.0')] ).
cnf(238,plain,
coll(skc18,skc17,skc15),
inference(res,[status(thm),theory(equality)],[2,17]),
[iquote('0:Res:2.0,17.0')] ).
cnf(239,plain,
( ~ midp(skc18,u,v)
| para(u,skc17,v,skc15) ),
inference(res,[status(thm),theory(equality)],[2,43]),
[iquote('0:Res:2.0,43.1')] ).
cnf(256,plain,
( ~ coll(u,skc17,v)
| ~ para(skc19,u,skc14,v)
| midp(u,skc17,v) ),
inference(res,[status(thm),theory(equality)],[1,83]),
[iquote('0:Res:1.0,83.0')] ).
cnf(262,plain,
cong(skc19,skc17,skc19,skc14),
inference(res,[status(thm),theory(equality)],[1,19]),
[iquote('0:Res:1.0,19.0')] ).
cnf(264,plain,
coll(skc19,skc17,skc14),
inference(res,[status(thm),theory(equality)],[1,17]),
[iquote('0:Res:1.0,17.0')] ).
cnf(284,plain,
coll(skc14,skc14,skc12),
inference(res,[status(thm),theory(equality)],[5,155]),
[iquote('0:Res:5.0,155.0')] ).
cnf(317,plain,
coll(skc16,skc14,skc15),
inference(res,[status(thm),theory(equality)],[212,14]),
[iquote('0:Res:212.0,14.0')] ).
cnf(380,plain,
cong(skc19,skc14,skc19,skc17),
inference(res,[status(thm),theory(equality)],[262,28]),
[iquote('0:Res:262.0,28.0')] ).
cnf(381,plain,
cong(skc18,skc15,skc18,skc17),
inference(res,[status(thm),theory(equality)],[236,28]),
[iquote('0:Res:236.0,28.0')] ).
cnf(382,plain,
cong(skc16,skc14,skc16,skc15),
inference(res,[status(thm),theory(equality)],[210,28]),
[iquote('0:Res:210.0,28.0')] ).
cnf(406,plain,
perp(skc18,skc10,skc17,skc15),
inference(res,[status(thm),theory(equality)],[7,23]),
[iquote('0:Res:7.0,23.0')] ).
cnf(466,plain,
( ~ coll(skc12,skc14,u)
| coll(u,skc17,skc12) ),
inference(res,[status(thm),theory(equality)],[152,31]),
[iquote('0:Res:152.0,31.0')] ).
cnf(469,plain,
( ~ coll(skc18,skc17,u)
| coll(u,skc15,skc18) ),
inference(res,[status(thm),theory(equality)],[238,31]),
[iquote('0:Res:238.0,31.0')] ).
cnf(470,plain,
( ~ coll(skc19,skc17,u)
| coll(u,skc14,skc19) ),
inference(res,[status(thm),theory(equality)],[264,31]),
[iquote('0:Res:264.0,31.0')] ).
cnf(471,plain,
( ~ coll(skc16,skc15,u)
| coll(u,skc14,skc16) ),
inference(res,[status(thm),theory(equality)],[212,31]),
[iquote('0:Res:212.0,31.0')] ).
cnf(477,plain,
( ~ coll(skc17,skc12,u)
| coll(u,skc14,skc17) ),
inference(res,[status(thm),theory(equality)],[153,31]),
[iquote('0:Res:153.0,31.0')] ).
cnf(488,plain,
( ~ coll(skc14,skc14,u)
| coll(u,skc12,skc14) ),
inference(res,[status(thm),theory(equality)],[284,31]),
[iquote('0:Res:284.0,31.0')] ).
cnf(503,plain,
( ~ coll(skc16,skc14,u)
| coll(u,skc15,skc16) ),
inference(res,[status(thm),theory(equality)],[317,31]),
[iquote('0:Res:317.0,31.0')] ).
cnf(536,plain,
( ~ midp(skc16,u,v)
| para(u,skc14,v,skc15) ),
inference(res,[status(thm),theory(equality)],[211,43]),
[iquote('0:Res:211.0,43.0')] ).
cnf(540,plain,
( ~ midp(skc18,u,v)
| para(u,skc15,v,skc17) ),
inference(res,[status(thm),theory(equality)],[237,43]),
[iquote('0:Res:237.0,43.0')] ).
cnf(550,plain,
( ~ midp(u,skc14,v)
| para(u,skc16,v,skc15) ),
inference(res,[status(thm),theory(equality)],[211,41]),
[iquote('0:Res:211.0,41.0')] ).
cnf(659,plain,
( ~ cong(u,u,u,v)
| para(u,u,u,v) ),
inference(res,[status(thm),theory(equality)],[42,38]),
[iquote('0:Res:42.1,38.0')] ).
cnf(770,plain,
( ~ midp(u,v,w)
| ~ cong(u,v,u,x)
| circle(u,v,x,w) ),
inference(res,[status(thm),theory(equality)],[19,51]),
[iquote('0:Res:19.1,51.0')] ).
cnf(814,plain,
( ~ cong(u,v,skc19,skc17)
| cong(u,v,skc19,skc14) ),
inference(res,[status(thm),theory(equality)],[262,53]),
[iquote('0:Res:262.0,53.0')] ).
cnf(816,plain,
( ~ cong(u,v,skc18,skc17)
| cong(u,v,skc18,skc15) ),
inference(res,[status(thm),theory(equality)],[236,53]),
[iquote('0:Res:236.0,53.0')] ).
cnf(821,plain,
( ~ cong(u,v,skc16,skc15)
| cong(u,v,skc16,skc14) ),
inference(res,[status(thm),theory(equality)],[210,53]),
[iquote('0:Res:210.0,53.0')] ).
cnf(936,plain,
( ~ perp(u,v,skc18,skc10)
| para(u,v,skc17,skc15) ),
inference(res,[status(thm),theory(equality)],[406,49]),
[iquote('0:Res:406.0,49.0')] ).
cnf(976,plain,
coll(skc15,skc15,skc18),
inference(res,[status(thm),theory(equality)],[238,469]),
[iquote('0:Res:238.0,469.0')] ).
cnf(979,plain,
coll(skc15,skc18,skc15),
inference(res,[status(thm),theory(equality)],[976,14]),
[iquote('0:Res:976.0,14.0')] ).
cnf(983,plain,
coll(skc18,skc15,skc15),
inference(res,[status(thm),theory(equality)],[979,15]),
[iquote('0:Res:979.0,15.0')] ).
cnf(987,plain,
coll(skc14,skc14,skc19),
inference(res,[status(thm),theory(equality)],[264,470]),
[iquote('0:Res:264.0,470.0')] ).
cnf(990,plain,
coll(skc14,skc19,skc14),
inference(res,[status(thm),theory(equality)],[987,14]),
[iquote('0:Res:987.0,14.0')] ).
cnf(994,plain,
coll(skc19,skc14,skc14),
inference(res,[status(thm),theory(equality)],[990,15]),
[iquote('0:Res:990.0,15.0')] ).
cnf(998,plain,
coll(skc14,skc14,skc16),
inference(res,[status(thm),theory(equality)],[212,471]),
[iquote('0:Res:212.0,471.0')] ).
cnf(1002,plain,
coll(skc14,skc16,skc14),
inference(res,[status(thm),theory(equality)],[998,14]),
[iquote('0:Res:998.0,14.0')] ).
cnf(1006,plain,
coll(skc16,skc14,skc14),
inference(res,[status(thm),theory(equality)],[1002,15]),
[iquote('0:Res:1002.0,15.0')] ).
cnf(1329,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[39,62]),
[iquote('0:Res:39.1,62.0')] ).
cnf(1361,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[39,60]),
[iquote('0:Res:39.1,60.0')] ).
cnf(2019,plain,
( ~ para(u,v,u,u)
| ~ circle(w,u,x,u)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[39,96]),
[iquote('0:Res:39.1,96.1')] ).
cnf(2220,plain,
( ~ cong(u,v,u,w)
| ~ para(v,w,u,w)
| para(u,v,v,w) ),
inference(res,[status(thm),theory(equality)],[42,92]),
[iquote('0:Res:42.1,92.1')] ).
cnf(3427,plain,
( ~ para(u,v,u,w)
| ~ cyclic(u,v,u,w)
| ~ cyclic(w,w,u,w)
| ~ cyclic(w,w,u,v)
| ~ cyclic(w,w,u,u)
| cong(w,w,w,v) ),
inference(res,[status(thm),theory(equality)],[95,126]),
[iquote('0:Res:95.2,126.3')] ).
cnf(3428,plain,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| ~ cyclic(u,v,w,x)
| cong(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[40,126]),
[iquote('0:Res:40.1,126.3')] ).
cnf(3430,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| ~ cyclic(u,v,w,x)
| cong(u,v,u,v) ),
inference(obv,[status(thm),theory(equality)],[3428]),
[iquote('0:Obv:3428.0')] ).
cnf(3431,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3430]),
[iquote('0:Con:3430.2')] ).
cnf(5595,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1329,67]),
[iquote('0:Res:1329.1,67.0')] ).
cnf(5606,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1329,84]),
[iquote('0:Res:1329.1,84.1')] ).
cnf(5621,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[5606,5595]),
[iquote('0:MRR:5606.1,5595.1')] ).
cnf(5846,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1361,38]),
[iquote('0:Res:1361.1,38.0')] ).
cnf(6104,plain,
( ~ midp(skc16,skc17,skc15)
| ~ para(skc17,skc14,skc15,skc15)
| midp(skc18,skc14,skc15) ),
inference(res,[status(thm),theory(equality)],[213,227]),
[iquote('0:Res:213.1,227.0')] ).
cnf(6109,plain,
( ~ midp(skc16,skc17,skc15)
| midp(skc18,skc14,skc15) ),
inference(mrr,[status(thm)],[6104,536]),
[iquote('0:MRR:6104.1,536.1')] ).
cnf(6125,plain,
( ~ midp(skc18,skc15,skc14)
| ~ para(skc15,skc15,skc14,skc17)
| midp(skc16,skc15,skc17) ),
inference(res,[status(thm),theory(equality)],[239,201]),
[iquote('0:Res:239.1,201.0')] ).
cnf(6131,plain,
( ~ midp(skc18,skc15,skc14)
| midp(skc16,skc15,skc17) ),
inference(mrr,[status(thm)],[6125,540]),
[iquote('0:MRR:6125.1,540.1')] ).
cnf(6342,plain,
( ~ midp(skc16,skc17,skc15)
| midp(skc18,skc15,skc14) ),
inference(res,[status(thm),theory(equality)],[6109,16]),
[iquote('0:Res:6109.1,16.0')] ).
cnf(6444,plain,
coll(skc16,skc12,skc14),
inference(res,[status(thm),theory(equality)],[998,488]),
[iquote('0:Res:998.0,488.0')] ).
cnf(6469,plain,
coll(skc12,skc16,skc14),
inference(res,[status(thm),theory(equality)],[6444,15]),
[iquote('0:Res:6444.0,15.0')] ).
cnf(6501,plain,
coll(skc12,skc14,skc16),
inference(res,[status(thm),theory(equality)],[6469,14]),
[iquote('0:Res:6469.0,14.0')] ).
cnf(6540,plain,
( ~ midp(skc16,skc15,u)
| circle(skc16,skc15,skc14,u) ),
inference(res,[status(thm),theory(equality)],[210,770]),
[iquote('0:Res:210.0,770.1')] ).
cnf(6568,plain,
coll(skc16,skc17,skc12),
inference(res,[status(thm),theory(equality)],[6501,466]),
[iquote('0:Res:6501.0,466.0')] ).
cnf(6665,plain,
coll(skc17,skc16,skc12),
inference(res,[status(thm),theory(equality)],[6568,15]),
[iquote('0:Res:6568.0,15.0')] ).
cnf(6695,plain,
coll(skc17,skc12,skc16),
inference(res,[status(thm),theory(equality)],[6665,14]),
[iquote('0:Res:6665.0,14.0')] ).
cnf(6719,plain,
coll(skc16,skc14,skc17),
inference(res,[status(thm),theory(equality)],[6695,477]),
[iquote('0:Res:6695.0,477.0')] ).
cnf(6754,plain,
( ~ midp(skc18,skc15,skc15)
| ~ circle(u,skc15,v,skc15)
| perp(u,skc15,skc15,skc17) ),
inference(res,[status(thm),theory(equality)],[239,2019]),
[iquote('0:Res:239.1,2019.0')] ).
cnf(7159,plain,
coll(skc15,skc15,skc16),
inference(res,[status(thm),theory(equality)],[317,503]),
[iquote('0:Res:317.0,503.0')] ).
cnf(7164,plain,
coll(skc17,skc15,skc16),
inference(res,[status(thm),theory(equality)],[6719,503]),
[iquote('0:Res:6719.0,503.0')] ).
cnf(7166,plain,
coll(skc15,skc16,skc15),
inference(res,[status(thm),theory(equality)],[7159,14]),
[iquote('0:Res:7159.0,14.0')] ).
cnf(7198,plain,
coll(skc17,skc16,skc15),
inference(res,[status(thm),theory(equality)],[7164,14]),
[iquote('0:Res:7164.0,14.0')] ).
cnf(7204,plain,
coll(skc16,skc15,skc15),
inference(res,[status(thm),theory(equality)],[7166,15]),
[iquote('0:Res:7166.0,15.0')] ).
cnf(7242,plain,
coll(skc16,skc17,skc15),
inference(res,[status(thm),theory(equality)],[7198,15]),
[iquote('0:Res:7198.0,15.0')] ).
cnf(16419,plain,
( ~ midp(skc19,skc14,skc14)
| ~ coll(skc16,skc17,skc15)
| midp(skc16,skc17,skc15) ),
inference(res,[status(thm),theory(equality)],[550,256]),
[iquote('0:Res:550.1,256.1')] ).
cnf(16420,plain,
( ~ midp(skc16,skc14,skc14)
| ~ coll(skc16,skc15,skc15)
| midp(skc16,skc15,skc15) ),
inference(res,[status(thm),theory(equality)],[550,204]),
[iquote('0:Res:550.1,204.1')] ).
cnf(16442,plain,
( ~ midp(skc19,skc14,skc14)
| midp(skc16,skc17,skc15) ),
inference(mrr,[status(thm)],[16419,7242]),
[iquote('0:MRR:16419.1,7242.0')] ).
cnf(16443,plain,
( ~ midp(skc16,skc14,skc14)
| midp(skc16,skc15,skc15) ),
inference(mrr,[status(thm)],[16420,7204]),
[iquote('0:MRR:16420.1,7204.0')] ).
cnf(19155,plain,
cong(skc19,skc14,skc19,skc14),
inference(res,[status(thm),theory(equality)],[380,814]),
[iquote('0:Res:380.0,814.0')] ).
cnf(19173,plain,
( ~ coll(skc19,skc14,skc14)
| midp(skc19,skc14,skc14) ),
inference(res,[status(thm),theory(equality)],[19155,44]),
[iquote('0:Res:19155.0,44.1')] ).
cnf(19184,plain,
midp(skc19,skc14,skc14),
inference(mrr,[status(thm)],[19173,994]),
[iquote('0:MRR:19173.0,994.0')] ).
cnf(19186,plain,
midp(skc16,skc17,skc15),
inference(mrr,[status(thm)],[16442,19184]),
[iquote('0:MRR:16442.0,19184.0')] ).
cnf(19189,plain,
midp(skc18,skc15,skc14),
inference(mrr,[status(thm)],[6342,19186]),
[iquote('0:MRR:6342.0,19186.0')] ).
cnf(19205,plain,
midp(skc16,skc15,skc17),
inference(mrr,[status(thm)],[6131,19189]),
[iquote('0:MRR:6131.0,19189.0')] ).
cnf(19298,plain,
cong(skc18,skc15,skc18,skc15),
inference(res,[status(thm),theory(equality)],[381,816]),
[iquote('0:Res:381.0,816.0')] ).
cnf(19316,plain,
( ~ coll(skc18,skc15,skc15)
| midp(skc18,skc15,skc15) ),
inference(res,[status(thm),theory(equality)],[19298,44]),
[iquote('0:Res:19298.0,44.1')] ).
cnf(19327,plain,
midp(skc18,skc15,skc15),
inference(mrr,[status(thm)],[19316,983]),
[iquote('0:MRR:19316.0,983.0')] ).
cnf(19329,plain,
( ~ circle(u,skc15,v,skc15)
| perp(u,skc15,skc15,skc17) ),
inference(mrr,[status(thm)],[6754,19327]),
[iquote('0:MRR:6754.0,19327.0')] ).
cnf(19414,plain,
( ~ midp(skc16,skc15,skc15)
| perp(skc16,skc15,skc15,skc17) ),
inference(res,[status(thm),theory(equality)],[6540,19329]),
[iquote('0:Res:6540.1,19329.0')] ).
cnf(19452,plain,
cong(skc16,skc14,skc16,skc14),
inference(res,[status(thm),theory(equality)],[382,821]),
[iquote('0:Res:382.0,821.0')] ).
cnf(19471,plain,
( ~ coll(skc16,skc14,skc14)
| midp(skc16,skc14,skc14) ),
inference(res,[status(thm),theory(equality)],[19452,44]),
[iquote('0:Res:19452.0,44.1')] ).
cnf(19482,plain,
midp(skc16,skc14,skc14),
inference(mrr,[status(thm)],[19471,1006]),
[iquote('0:MRR:19471.0,1006.0')] ).
cnf(19484,plain,
midp(skc16,skc15,skc15),
inference(mrr,[status(thm)],[16443,19482]),
[iquote('0:MRR:16443.0,19482.0')] ).
cnf(19488,plain,
perp(skc16,skc15,skc15,skc17),
inference(mrr,[status(thm)],[19414,19484]),
[iquote('0:MRR:19414.0,19484.0')] ).
cnf(19573,plain,
perp(skc16,skc15,skc17,skc15),
inference(res,[status(thm),theory(equality)],[19488,22]),
[iquote('0:Res:19488.0,22.0')] ).
cnf(19574,plain,
perp(skc15,skc17,skc16,skc15),
inference(res,[status(thm),theory(equality)],[19488,23]),
[iquote('0:Res:19488.0,23.0')] ).
cnf(19624,plain,
perp(skc17,skc15,skc16,skc15),
inference(res,[status(thm),theory(equality)],[19573,23]),
[iquote('0:Res:19573.0,23.0')] ).
cnf(19654,plain,
perp(skc15,skc17,skc15,skc16),
inference(res,[status(thm),theory(equality)],[19574,22]),
[iquote('0:Res:19574.0,22.0')] ).
cnf(19664,plain,
perp(skc17,skc15,skc15,skc16),
inference(res,[status(thm),theory(equality)],[19624,22]),
[iquote('0:Res:19624.0,22.0')] ).
cnf(19678,plain,
perp(skc15,skc16,skc15,skc17),
inference(res,[status(thm),theory(equality)],[19654,23]),
[iquote('0:Res:19654.0,23.0')] ).
cnf(19693,plain,
perp(skc15,skc16,skc17,skc15),
inference(res,[status(thm),theory(equality)],[19664,23]),
[iquote('0:Res:19664.0,23.0')] ).
cnf(19730,plain,
( ~ midp(skc16,skc15,skc17)
| cong(skc15,skc15,skc15,skc17) ),
inference(res,[status(thm),theory(equality)],[19678,47]),
[iquote('0:Res:19678.0,47.1')] ).
cnf(19733,plain,
cong(skc15,skc15,skc15,skc17),
inference(mrr,[status(thm)],[19730,19205]),
[iquote('0:MRR:19730.0,19205.0')] ).
cnf(19750,plain,
( ~ midp(skc16,skc17,skc15)
| cong(skc15,skc17,skc15,skc15) ),
inference(res,[status(thm),theory(equality)],[19693,47]),
[iquote('0:Res:19693.0,47.1')] ).
cnf(19752,plain,
cong(skc15,skc17,skc15,skc15),
inference(mrr,[status(thm)],[19750,19186]),
[iquote('0:MRR:19750.0,19186.0')] ).
cnf(19774,plain,
para(skc15,skc15,skc15,skc17),
inference(res,[status(thm),theory(equality)],[19733,659]),
[iquote('0:Res:19733.0,659.0')] ).
cnf(19806,plain,
( ~ para(skc17,skc15,skc15,skc15)
| para(skc15,skc17,skc17,skc15) ),
inference(res,[status(thm),theory(equality)],[19752,2220]),
[iquote('0:Res:19752.0,2220.0')] ).
cnf(19839,plain,
para(skc15,skc15,skc17,skc15),
inference(res,[status(thm),theory(equality)],[19774,20]),
[iquote('0:Res:19774.0,20.0')] ).
cnf(19969,plain,
para(skc17,skc15,skc15,skc15),
inference(res,[status(thm),theory(equality)],[19839,21]),
[iquote('0:Res:19839.0,21.0')] ).
cnf(19982,plain,
para(skc15,skc17,skc17,skc15),
inference(mrr,[status(thm)],[19806,19969]),
[iquote('0:MRR:19806.0,19969.0')] ).
cnf(20199,plain,
para(skc15,skc17,skc15,skc17),
inference(res,[status(thm),theory(equality)],[19982,20]),
[iquote('0:Res:19982.0,20.0')] ).
cnf(20200,plain,
para(skc17,skc15,skc15,skc17),
inference(res,[status(thm),theory(equality)],[19982,21]),
[iquote('0:Res:19982.0,21.0')] ).
cnf(20454,plain,
( ~ cyclic(skc15,skc17,skc15,skc17)
| ~ cyclic(skc17,skc17,skc15,skc17)
| ~ cyclic(skc17,skc17,skc15,skc17)
| ~ cyclic(skc17,skc17,skc15,skc15)
| cong(skc17,skc17,skc17,skc17) ),
inference(res,[status(thm),theory(equality)],[20199,3427]),
[iquote('0:Res:20199.0,3427.0')] ).
cnf(20482,plain,
( ~ cyclic(skc15,skc17,skc15,skc17)
| ~ cyclic(skc17,skc17,skc15,skc17)
| ~ cyclic(skc17,skc17,skc15,skc15)
| cong(skc17,skc17,skc17,skc17) ),
inference(obv,[status(thm),theory(equality)],[20454]),
[iquote('0:Obv:20454.1')] ).
cnf(20488,plain,
para(skc17,skc15,skc17,skc15),
inference(res,[status(thm),theory(equality)],[20200,20]),
[iquote('0:Res:20200.0,20.0')] ).
cnf(20987,plain,
~ perp(skc12,skc13,skc18,skc10),
inference(res,[status(thm),theory(equality)],[936,13]),
[iquote('0:Res:936.1,13.0')] ).
cnf(22620,plain,
cyclic(skc15,skc15,skc17,u),
inference(res,[status(thm),theory(equality)],[20488,5621]),
[iquote('0:Res:20488.0,5621.0')] ).
cnf(22621,plain,
cyclic(skc17,skc17,skc15,u),
inference(res,[status(thm),theory(equality)],[20199,5621]),
[iquote('0:Res:20199.0,5621.0')] ).
cnf(22631,plain,
( ~ cyclic(skc15,skc17,skc15,skc17)
| cong(skc17,skc17,skc17,skc17) ),
inference(mrr,[status(thm)],[20482,22621]),
[iquote('0:MRR:20482.2,20482.1,22621.0')] ).
cnf(22679,plain,
cyclic(skc15,skc17,skc15,u),
inference(res,[status(thm),theory(equality)],[22620,25]),
[iquote('0:Res:22620.0,25.0')] ).
cnf(22693,plain,
cong(skc17,skc17,skc17,skc17),
inference(mrr,[status(thm)],[22631,22679]),
[iquote('0:MRR:22631.0,22679.0')] ).
cnf(22748,plain,
para(skc17,skc17,skc17,skc17),
inference(res,[status(thm),theory(equality)],[22693,659]),
[iquote('0:Res:22693.0,659.0')] ).
cnf(23691,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[22748,5846]),
[iquote('0:Res:22748.0,5846.0')] ).
cnf(23736,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[5621,23691]),
[iquote('0:MRR:5621.0,23691.0')] ).
cnf(25949,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[23736,100]),
[iquote('0:Res:23736.0,100.0')] ).
cnf(25950,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[23736,52]),
[iquote('0:Res:23736.0,52.0')] ).
cnf(26198,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[25950,23736]),
[iquote('0:MRR:25950.0,23736.0')] ).
cnf(26202,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[126,26198]),
[iquote('0:MRR:126.2,126.1,126.0,26198.0')] ).
cnf(26217,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[74,26198]),
[iquote('0:MRR:74.1,26198.0')] ).
cnf(26219,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3431,26198]),
[iquote('0:MRR:3431.1,3431.0,26198.0')] ).
cnf(26877,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[25949,26219]),
[iquote('0:MRR:25949.0,25949.1,26219.0,26219.0')] ).
cnf(26890,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[97,26877]),
[iquote('0:MRR:97.0,26877.0')] ).
cnf(26902,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[26217,26877]),
[iquote('0:MRR:26217.0,26877.0')] ).
cnf(31213,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[26902,26890]),
[iquote('0:Res:26902.0,26890.0')] ).
cnf(32511,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[31213,26202]),
[iquote('0:Res:31213.0,26202.0')] ).
cnf(32531,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[54,32511]),
[iquote('0:MRR:54.1,54.0,32511.0')] ).
cnf(32558,plain,
$false,
inference(unc,[status(thm)],[32531,20987]),
[iquote('0:UnC:32531.0,20987.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO650+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 17 23:08:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 32.35/32.52
% 32.35/32.52 SPASS V 3.9
% 32.35/32.52 SPASS beiseite: Proof found.
% 32.35/32.52 % SZS status Theorem
% 32.35/32.52 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 32.35/32.52 SPASS derived 31222 clauses, backtracked 0 clauses, performed 5 splits and kept 18811 clauses.
% 32.35/32.52 SPASS allocated 108565 KBytes.
% 32.35/32.52 SPASS spent 0:0:32.16 on the problem.
% 32.35/32.52 0:00:00.04 for the input.
% 32.35/32.52 0:00:00.25 for the FLOTTER CNF translation.
% 32.35/32.52 0:00:00.70 for inferences.
% 32.35/32.52 0:00:00.10 for the backtracking.
% 32.35/32.52 0:0:30.21 for the reduction.
% 32.35/32.52
% 32.35/32.52
% 32.35/32.52 Here is a proof with depth 13, length 187 :
% 32.35/32.52 % SZS output start Refutation
% See solution above
% 32.76/32.96 Formulae used in the proof : exemplo6GDDFULLmoreE02211 ruleD1 ruleD2 ruleD11 ruleD69 ruleD68 ruleD4 ruleD5 ruleD7 ruleD8 ruleD15 ruleD24 ruleD3 ruleD39 ruleD40 ruleD41 ruleD44 ruleD46 ruleD63 ruleD67 ruleD55 ruleD9 ruleD12 ruleD17 ruleD25 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD45 ruleD42b ruleD73 ruleD64 ruleD54 ruleD49 ruleD48 ruleD57 ruleD43
% 32.76/32.96
%------------------------------------------------------------------------------