TSTP Solution File: GEO615+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO615+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 06:25:32 EDT 2022
% Result : Theorem 54.56s 54.75s
% Output : Refutation 54.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 49
% Syntax : Number of clauses : 330 ( 184 unt; 6 nHn; 330 RR)
% Number of literals : 554 ( 0 equ; 219 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 : 21 ( 21 usr; 20 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
coll(skc13,skc20,skc17),
file('GEO615+1.p',unknown),
[] ).
cnf(2,axiom,
coll(skc14,skc13,skc20),
file('GEO615+1.p',unknown),
[] ).
cnf(4,axiom,
perp(skc18,skc16,skc21,skc12),
file('GEO615+1.p',unknown),
[] ).
cnf(6,axiom,
perp(skc20,skc18,skc18,skc12),
file('GEO615+1.p',unknown),
[] ).
cnf(9,axiom,
eqangle(skc16,skc20,skc20,skc18,skc16,skc20,skc20,skc17),
file('GEO615+1.p',unknown),
[] ).
cnf(10,axiom,
eqangle(skc16,skc18,skc18,skc17,skc16,skc18,skc18,skc20),
file('GEO615+1.p',unknown),
[] ).
cnf(11,axiom,
eqangle(skc16,skc17,skc17,skc20,skc16,skc17,skc17,skc18),
file('GEO615+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO615+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO615+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO615+1.p',unknown),
[] ).
cnf(16,axiom,
~ eqangle(skc13,skc16,skc16,skc17,skc17,skc16,skc16,skc14),
file('GEO615+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO615+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ midp(u,v,w)
| cong(u,v,u,w) ),
file('GEO615+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO615+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ perp(u,v,w,x)
| perp(u,v,x,w) ),
file('GEO615+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO615+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,v,x,w) ),
file('GEO615+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,w,v,x) ),
file('GEO615+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO615+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ cong(u,v,w,x)
| cong(u,v,x,w) ),
file('GEO615+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ cong(u,v,w,x)
| cong(w,x,u,v) ),
file('GEO615+1.p',unknown),
[] ).
cnf(30,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO615+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO615+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO615+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO615+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ cong(u,v,u,w)
| eqangle(u,v,v,w,v,w,u,w) ),
file('GEO615+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ coll(u,v,w)
| ~ cong(u,v,u,w)
| midp(u,v,w) ),
file('GEO615+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ midp(u,v,w)
| ~ perp(x,u,v,w)
| cong(x,v,x,w) ),
file('GEO615+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ para(u,v,w,x)
| ~ para(y,z,u,v)
| para(y,z,w,x) ),
file('GEO615+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO615+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ perp(u,v,w,x)
| ~ para(y,z,u,v)
| perp(y,z,w,x) ),
file('GEO615+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ cong(u,v,u,w)
| ~ cong(u,v,u,x)
| circle(u,v,x,w) ),
file('GEO615+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO615+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO615+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(v,u,w,x,y,z,x1,x2) ),
file('GEO615+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO615+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(y,z,x1,x2,u,v,w,x) ),
file('GEO615+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO615+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO615+1.p',unknown),
[] ).
cnf(71,axiom,
( ~ coll(u,v,w)
| ~ perp(x,y,y,u)
| perp(skf36(w,v,x),x,v,w) ),
file('GEO615+1.p',unknown),
[] ).
cnf(83,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO615+1.p',unknown),
[] ).
cnf(90,axiom,
( ~ perp(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,w,x)
| perp(y,z,x1,x2) ),
file('GEO615+1.p',unknown),
[] ).
cnf(91,axiom,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,w,x)
| para(y,z,x1,x2) ),
file('GEO615+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| eqangle(u,x,w,x,w,x,w,v) ),
file('GEO615+1.p',unknown),
[] ).
cnf(99,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO615+1.p',unknown),
[] ).
cnf(102,axiom,
( ~ cong(u,v,u,w)
| ~ cong(u,v,u,x)
| ~ cong(u,v,u,y)
| cyclic(v,y,x,w) ),
file('GEO615+1.p',unknown),
[] ).
cnf(111,axiom,
( ~ coll(u,v,w)
| ~ circle(x,y,v,w)
| ~ eqangle(y,v,y,w,x,v,x,u)
| midp(u,v,w) ),
file('GEO615+1.p',unknown),
[] ).
cnf(119,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| ~ eqangle(x3,x4,x5,x6,u,v,w,x)
| eqangle(x3,x4,x5,x6,y,z,x1,x2) ),
file('GEO615+1.p',unknown),
[] ).
cnf(125,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('GEO615+1.p',unknown),
[] ).
cnf(131,plain,
( ~ coll(skc14,skc13,u)
| coll(u,skc20,skc14) ),
inference(res,[status(thm),theory(equality)],[2,30]),
[iquote('0:Res:2.0,30.1')] ).
cnf(151,plain,
coll(skc13,skc17,skc20),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.0')] ).
cnf(154,plain,
( ~ coll(skc13,skc20,u)
| coll(u,skc17,skc13) ),
inference(res,[status(thm),theory(equality)],[1,30]),
[iquote('0:Res:1.0,30.1')] ).
cnf(200,plain,
( ~ perp(skc18,skc12,u,v)
| para(skc20,skc18,u,v) ),
inference(res,[status(thm),theory(equality)],[6,48]),
[iquote('0:Res:6.0,48.0')] ).
cnf(201,plain,
perp(skc20,skc18,skc12,skc18),
inference(res,[status(thm),theory(equality)],[6,21]),
[iquote('0:Res:6.0,21.0')] ).
cnf(202,plain,
perp(skc18,skc12,skc20,skc18),
inference(res,[status(thm),theory(equality)],[6,22]),
[iquote('0:Res:6.0,22.0')] ).
cnf(203,plain,
( ~ coll(skc12,u,v)
| perp(skf36(v,u,skc20),skc20,u,v) ),
inference(res,[status(thm),theory(equality)],[6,71]),
[iquote('0:Res:6.0,71.0')] ).
cnf(211,plain,
( ~ perp(u,v,skc20,skc18)
| para(u,v,skc18,skc12) ),
inference(res,[status(thm),theory(equality)],[6,48]),
[iquote('0:Res:6.0,48.1')] ).
cnf(243,plain,
perp(skc21,skc12,skc18,skc16),
inference(res,[status(thm),theory(equality)],[4,22]),
[iquote('0:Res:4.0,22.0')] ).
cnf(248,plain,
( ~ perp(u,v,skc18,skc16)
| para(u,v,skc21,skc12) ),
inference(res,[status(thm),theory(equality)],[4,48]),
[iquote('0:Res:4.0,48.1')] ).
cnf(255,plain,
coll(skc17,skc17,skc13),
inference(res,[status(thm),theory(equality)],[1,154]),
[iquote('0:Res:1.0,154.0')] ).
cnf(256,plain,
coll(skc20,skc20,skc14),
inference(res,[status(thm),theory(equality)],[2,131]),
[iquote('0:Res:2.0,131.0')] ).
cnf(258,plain,
coll(skc17,skc13,skc20),
inference(res,[status(thm),theory(equality)],[151,13]),
[iquote('0:Res:151.0,13.0')] ).
cnf(276,plain,
coll(skc20,skc14,skc20),
inference(res,[status(thm),theory(equality)],[256,12]),
[iquote('0:Res:256.0,12.0')] ).
cnf(279,plain,
coll(skc17,skc13,skc17),
inference(res,[status(thm),theory(equality)],[255,12]),
[iquote('0:Res:255.0,12.0')] ).
cnf(365,plain,
perp(skc12,skc18,skc20,skc18),
inference(res,[status(thm),theory(equality)],[201,22]),
[iquote('0:Res:201.0,22.0')] ).
cnf(414,plain,
( ~ coll(skc17,skc13,u)
| coll(u,skc20,skc17) ),
inference(res,[status(thm),theory(equality)],[258,30]),
[iquote('0:Res:258.0,30.0')] ).
cnf(417,plain,
( ~ coll(skc20,skc14,u)
| coll(u,skc20,skc20) ),
inference(res,[status(thm),theory(equality)],[276,30]),
[iquote('0:Res:276.0,30.0')] ).
cnf(470,plain,
coll(skc17,skc20,skc17),
inference(res,[status(thm),theory(equality)],[279,414]),
[iquote('0:Res:279.0,414.0')] ).
cnf(478,plain,
coll(skc17,skc17,skc20),
inference(res,[status(thm),theory(equality)],[470,12]),
[iquote('0:Res:470.0,12.0')] ).
cnf(483,plain,
( ~ coll(skc17,skc17,u)
| coll(u,skc20,skc17) ),
inference(res,[status(thm),theory(equality)],[478,30]),
[iquote('0:Res:478.0,30.0')] ).
cnf(508,plain,
coll(skc20,skc20,skc20),
inference(res,[status(thm),theory(equality)],[276,417]),
[iquote('0:Res:276.0,417.0')] ).
cnf(635,plain,
( ~ cong(u,u,u,v)
| para(u,u,u,v) ),
inference(res,[status(thm),theory(equality)],[41,37]),
[iquote('0:Res:41.1,37.0')] ).
cnf(674,plain,
( ~ midp(skc18,skc20,skc18)
| cong(skc12,skc20,skc12,skc18) ),
inference(res,[status(thm),theory(equality)],[365,46]),
[iquote('0:Res:365.0,46.1')] ).
cnf(784,plain,
( ~ midp(u,v,v)
| ~ cong(u,w,u,w)
| perp(u,u,w,v) ),
inference(res,[status(thm),theory(equality)],[18,53]),
[iquote('0:Res:18.1,53.0')] ).
cnf(859,plain,
( ~ perp(u,v,skc20,skc18)
| para(u,v,skc12,skc18) ),
inference(res,[status(thm),theory(equality)],[201,48]),
[iquote('0:Res:201.0,48.0')] ).
cnf(1252,plain,
( ~ para(u,v,u,v)
| coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[38,66]),
[iquote('0:Res:38.1,66.0')] ).
cnf(1323,plain,
eqangle(skc16,skc17,skc16,skc17,skc17,skc20,skc17,skc18),
inference(res,[status(thm),theory(equality)],[11,61]),
[iquote('0:Res:11.0,61.0')] ).
cnf(1327,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[38,61]),
[iquote('0:Res:38.1,61.0')] ).
cnf(1342,plain,
eqangle(skc16,skc17,skc17,skc18,skc16,skc17,skc17,skc20),
inference(res,[status(thm),theory(equality)],[11,60]),
[iquote('0:Res:11.0,60.0')] ).
cnf(1343,plain,
eqangle(skc16,skc18,skc18,skc20,skc16,skc18,skc18,skc17),
inference(res,[status(thm),theory(equality)],[10,60]),
[iquote('0:Res:10.0,60.0')] ).
cnf(1344,plain,
eqangle(skc16,skc20,skc20,skc17,skc16,skc20,skc20,skc18),
inference(res,[status(thm),theory(equality)],[9,60]),
[iquote('0:Res:9.0,60.0')] ).
cnf(1361,plain,
eqangle(skc17,skc20,skc16,skc17,skc17,skc18,skc16,skc17),
inference(res,[status(thm),theory(equality)],[11,59]),
[iquote('0:Res:11.0,59.0')] ).
cnf(1363,plain,
eqangle(skc20,skc18,skc16,skc20,skc20,skc17,skc16,skc20),
inference(res,[status(thm),theory(equality)],[9,59]),
[iquote('0:Res:9.0,59.0')] ).
cnf(1365,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[38,59]),
[iquote('0:Res:38.1,59.0')] ).
cnf(1380,plain,
eqangle(skc17,skc16,skc17,skc20,skc16,skc17,skc17,skc18),
inference(res,[status(thm),theory(equality)],[11,58]),
[iquote('0:Res:11.0,58.0')] ).
cnf(1381,plain,
eqangle(skc18,skc16,skc18,skc17,skc16,skc18,skc18,skc20),
inference(res,[status(thm),theory(equality)],[10,58]),
[iquote('0:Res:10.0,58.0')] ).
cnf(1649,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[38,83]),
[iquote('0:Res:38.1,83.1')] ).
cnf(2308,plain,
( ~ cong(u,v,u,w)
| ~ para(v,w,u,w)
| para(u,v,v,w) ),
inference(res,[status(thm),theory(equality)],[41,91]),
[iquote('0:Res:41.1,91.1')] ).
cnf(2312,plain,
( ~ cyclic(u,v,w,x)
| ~ para(x,u,x,v)
| para(w,u,w,v) ),
inference(res,[status(thm),theory(equality)],[39,91]),
[iquote('0:Res:39.1,91.1')] ).
cnf(2401,plain,
( ~ cyclic(u,v,w,x)
| ~ perp(x,u,x,v)
| perp(w,u,w,v) ),
inference(res,[status(thm),theory(equality)],[39,90]),
[iquote('0:Res:39.1,90.1')] ).
cnf(2602,plain,
( ~ para(skc17,skc20,skc17,skc18)
| para(skc16,skc17,skc16,skc17) ),
inference(res,[status(thm),theory(equality)],[1323,91]),
[iquote('0:Res:1323.0,91.1')] ).
cnf(2616,plain,
eqangle(skc17,skc18,skc16,skc17,skc17,skc20,skc16,skc17),
inference(res,[status(thm),theory(equality)],[1342,59]),
[iquote('0:Res:1342.0,59.0')] ).
cnf(2627,plain,
eqangle(skc18,skc16,skc18,skc20,skc16,skc18,skc18,skc17),
inference(res,[status(thm),theory(equality)],[1343,58]),
[iquote('0:Res:1343.0,58.0')] ).
cnf(2633,plain,
eqangle(skc20,skc16,skc20,skc17,skc16,skc20,skc20,skc18),
inference(res,[status(thm),theory(equality)],[1344,58]),
[iquote('0:Res:1344.0,58.0')] ).
cnf(2634,plain,
eqangle(skc20,skc17,skc16,skc20,skc20,skc18,skc16,skc20),
inference(res,[status(thm),theory(equality)],[1344,59]),
[iquote('0:Res:1344.0,59.0')] ).
cnf(2639,plain,
para(skc17,skc20,skc17,skc18),
inference(res,[status(thm),theory(equality)],[1361,37]),
[iquote('0:Res:1361.0,37.0')] ).
cnf(2646,plain,
para(skc16,skc17,skc16,skc17),
inference(mrr,[status(thm)],[2602,2639]),
[iquote('0:MRR:2602.0,2639.0')] ).
cnf(2650,plain,
para(skc17,skc18,skc17,skc20),
inference(res,[status(thm),theory(equality)],[2639,20]),
[iquote('0:Res:2639.0,20.0')] ).
cnf(2931,plain,
coll(skc16,skc17,skc17),
inference(res,[status(thm),theory(equality)],[2646,17]),
[iquote('0:Res:2646.0,17.0')] ).
cnf(2941,plain,
coll(skc17,skc16,skc17),
inference(res,[status(thm),theory(equality)],[2931,13]),
[iquote('0:Res:2931.0,13.0')] ).
cnf(2943,plain,
coll(skc17,skc17,skc16),
inference(res,[status(thm),theory(equality)],[2941,12]),
[iquote('0:Res:2941.0,12.0')] ).
cnf(2950,plain,
coll(skc16,skc20,skc17),
inference(res,[status(thm),theory(equality)],[2943,483]),
[iquote('0:Res:2943.0,483.0')] ).
cnf(2959,plain,
coll(skc16,skc17,skc20),
inference(res,[status(thm),theory(equality)],[2950,12]),
[iquote('0:Res:2950.0,12.0')] ).
cnf(2975,plain,
coll(skc17,skc16,skc20),
inference(res,[status(thm),theory(equality)],[2959,13]),
[iquote('0:Res:2959.0,13.0')] ).
cnf(3051,plain,
( ~ eqangle(u,v,w,x,skc16,skc17,skc17,skc20)
| eqangle(u,v,w,x,skc16,skc17,skc17,skc18) ),
inference(res,[status(thm),theory(equality)],[11,119]),
[iquote('0:Res:11.0,119.0')] ).
cnf(3055,plain,
( ~ eqangle(u,v,w,x,skc16,skc20,skc20,skc18)
| eqangle(u,v,w,x,skc16,skc20,skc20,skc17) ),
inference(res,[status(thm),theory(equality)],[9,119]),
[iquote('0:Res:9.0,119.0')] ).
cnf(3062,plain,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,x3,x4)
| eqangle(y,z,x1,x2,w,x,x3,x4) ),
inference(res,[status(thm),theory(equality)],[38,119]),
[iquote('0:Res:38.1,119.0')] ).
cnf(3212,plain,
( ~ para(u,v,u,w)
| ~ cyclic(v,x,u,w)
| ~ cyclic(v,x,u,x)
| ~ cyclic(v,x,u,u)
| cong(v,x,w,x) ),
inference(res,[status(thm),theory(equality)],[38,125]),
[iquote('0:Res:38.1,125.3')] ).
cnf(3214,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)],[94,125]),
[iquote('0:Res:94.2,125.3')] ).
cnf(3215,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)],[39,125]),
[iquote('0:Res:39.1,125.3')] ).
cnf(3217,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)],[3215]),
[iquote('0:Obv:3215.0')] ).
cnf(3218,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3217]),
[iquote('0:Con:3217.2')] ).
cnf(3320,plain,
eqangle(skc18,skc20,skc16,skc20,skc20,skc17,skc16,skc20),
inference(res,[status(thm),theory(equality)],[1363,58]),
[iquote('0:Res:1363.0,58.0')] ).
cnf(3350,plain,
eqangle(skc17,skc20,skc17,skc16,skc17,skc18,skc16,skc17),
inference(res,[status(thm),theory(equality)],[1380,59]),
[iquote('0:Res:1380.0,59.0')] ).
cnf(3351,plain,
eqangle(skc16,skc17,skc17,skc18,skc17,skc16,skc17,skc20),
inference(res,[status(thm),theory(equality)],[1380,60]),
[iquote('0:Res:1380.0,60.0')] ).
cnf(3395,plain,
eqangle(skc16,skc18,skc18,skc20,skc18,skc16,skc18,skc17),
inference(res,[status(thm),theory(equality)],[1381,60]),
[iquote('0:Res:1381.0,60.0')] ).
cnf(3859,plain,
( ~ perp(skc18,skc12,skc20,u)
| coll(skc20,skc18,u) ),
inference(res,[status(thm),theory(equality)],[200,17]),
[iquote('0:Res:200.1,17.0')] ).
cnf(3872,plain,
eqangle(skc18,skc17,skc16,skc17,skc17,skc20,skc16,skc17),
inference(res,[status(thm),theory(equality)],[2616,58]),
[iquote('0:Res:2616.0,58.0')] ).
cnf(3881,plain,
eqangle(skc16,skc18,skc18,skc17,skc18,skc16,skc18,skc20),
inference(res,[status(thm),theory(equality)],[2627,60]),
[iquote('0:Res:2627.0,60.0')] ).
cnf(3895,plain,
eqangle(skc20,skc17,skc20,skc16,skc20,skc18,skc16,skc20),
inference(res,[status(thm),theory(equality)],[2633,59]),
[iquote('0:Res:2633.0,59.0')] ).
cnf(3913,plain,
eqangle(skc17,skc20,skc16,skc20,skc20,skc18,skc16,skc20),
inference(res,[status(thm),theory(equality)],[2634,58]),
[iquote('0:Res:2634.0,58.0')] ).
cnf(3938,plain,
eqangle(skc16,skc20,skc18,skc20,skc16,skc20,skc20,skc17),
inference(res,[status(thm),theory(equality)],[3320,59]),
[iquote('0:Res:3320.0,59.0')] ).
cnf(3943,plain,
( ~ perp(skc18,u,skc20,skc18)
| coll(skc18,u,skc12) ),
inference(res,[status(thm),theory(equality)],[211,17]),
[iquote('0:Res:211.1,17.0')] ).
cnf(3957,plain,
eqangle(skc17,skc18,skc16,skc17,skc17,skc20,skc17,skc16),
inference(res,[status(thm),theory(equality)],[3350,60]),
[iquote('0:Res:3350.0,60.0')] ).
cnf(3962,plain,
eqangle(skc17,skc16,skc17,skc18,skc17,skc16,skc17,skc20),
inference(res,[status(thm),theory(equality)],[3351,58]),
[iquote('0:Res:3351.0,58.0')] ).
cnf(3976,plain,
eqangle(skc18,skc16,skc18,skc20,skc18,skc16,skc18,skc17),
inference(res,[status(thm),theory(equality)],[3395,58]),
[iquote('0:Res:3395.0,58.0')] ).
cnf(4446,plain,
( ~ coll(skc12,u,v)
| ~ perp(w,x,skf36(v,u,skc20),skc20)
| para(w,x,u,v) ),
inference(res,[status(thm),theory(equality)],[203,48]),
[iquote('0:Res:203.1,48.0')] ).
cnf(5020,plain,
eqangle(skc16,skc17,skc18,skc17,skc16,skc17,skc17,skc20),
inference(res,[status(thm),theory(equality)],[3872,59]),
[iquote('0:Res:3872.0,59.0')] ).
cnf(5021,plain,
eqangle(skc17,skc20,skc16,skc17,skc18,skc17,skc16,skc17),
inference(res,[status(thm),theory(equality)],[3872,60]),
[iquote('0:Res:3872.0,60.0')] ).
cnf(5044,plain,
eqangle(skc18,skc16,skc18,skc17,skc18,skc16,skc18,skc20),
inference(res,[status(thm),theory(equality)],[3881,58]),
[iquote('0:Res:3881.0,58.0')] ).
cnf(5059,plain,
eqangle(skc17,skc20,skc20,skc16,skc20,skc18,skc16,skc20),
inference(res,[status(thm),theory(equality)],[3895,58]),
[iquote('0:Res:3895.0,58.0')] ).
cnf(5086,plain,
eqangle(skc16,skc20,skc17,skc20,skc16,skc20,skc20,skc18),
inference(res,[status(thm),theory(equality)],[3913,59]),
[iquote('0:Res:3913.0,59.0')] ).
cnf(5133,plain,
eqangle(skc20,skc16,skc18,skc20,skc16,skc20,skc20,skc17),
inference(res,[status(thm),theory(equality)],[3938,58]),
[iquote('0:Res:3938.0,58.0')] ).
cnf(5158,plain,
eqangle(skc18,skc17,skc16,skc17,skc17,skc20,skc17,skc16),
inference(res,[status(thm),theory(equality)],[3957,58]),
[iquote('0:Res:3957.0,58.0')] ).
cnf(5166,plain,
eqangle(skc17,skc18,skc17,skc16,skc17,skc20,skc17,skc16),
inference(res,[status(thm),theory(equality)],[3962,59]),
[iquote('0:Res:3962.0,59.0')] ).
cnf(5198,plain,
( ~ coll(skc17,skc16,skc20)
| ~ circle(skc18,skc18,skc16,skc20)
| midp(skc17,skc16,skc20) ),
inference(res,[status(thm),theory(equality)],[3976,111]),
[iquote('0:Res:3976.0,111.2')] ).
cnf(5199,plain,
( ~ circle(skc18,skc18,skc16,skc20)
| midp(skc17,skc16,skc20) ),
inference(mrr,[status(thm)],[5198,2975]),
[iquote('0:MRR:5198.0,2975.0')] ).
cnf(5555,plain,
eqangle(skc20,skc17,skc16,skc17,skc18,skc17,skc16,skc17),
inference(res,[status(thm),theory(equality)],[5021,58]),
[iquote('0:Res:5021.0,58.0')] ).
cnf(5583,plain,
( ~ cyclic(skc16,skc17,skc18,skc16)
| ~ cyclic(skc16,skc17,skc18,skc20)
| ~ cyclic(skc16,skc17,skc18,skc18)
| cong(skc16,skc17,skc16,skc20) ),
inference(res,[status(thm),theory(equality)],[5044,125]),
[iquote('0:Res:5044.0,125.3')] ).
cnf(5605,plain,
eqangle(skc20,skc16,skc17,skc20,skc16,skc20,skc20,skc18),
inference(res,[status(thm),theory(equality)],[5059,59]),
[iquote('0:Res:5059.0,59.0')] ).
cnf(5700,plain,
( ~ para(skc16,skc20,skc20,skc17)
| para(skc20,skc16,skc18,skc20) ),
inference(res,[status(thm),theory(equality)],[5133,91]),
[iquote('0:Res:5133.0,91.1')] ).
cnf(5733,plain,
( ~ para(skc17,skc20,skc17,skc16)
| para(skc18,skc17,skc16,skc17) ),
inference(res,[status(thm),theory(equality)],[5158,91]),
[iquote('0:Res:5158.0,91.1')] ).
cnf(5736,plain,
eqangle(skc18,skc17,skc17,skc16,skc17,skc20,skc17,skc16),
inference(res,[status(thm),theory(equality)],[5166,58]),
[iquote('0:Res:5166.0,58.0')] ).
cnf(6055,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1327,66]),
[iquote('0:Res:1327.1,66.0')] ).
cnf(6066,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1327,83]),
[iquote('0:Res:1327.1,83.1')] ).
cnf(6080,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[6066,6055]),
[iquote('0:MRR:6066.1,6055.1')] ).
cnf(6203,plain,
( ~ para(skc18,skc17,skc16,skc17)
| para(skc20,skc17,skc16,skc17) ),
inference(res,[status(thm),theory(equality)],[5555,91]),
[iquote('0:Res:5555.0,91.1')] ).
cnf(6402,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1365,37]),
[iquote('0:Res:1365.1,37.0')] ).
cnf(6553,plain,
eqangle(skc17,skc20,skc17,skc16,skc18,skc17,skc17,skc16),
inference(res,[status(thm),theory(equality)],[5736,60]),
[iquote('0:Res:5736.0,60.0')] ).
cnf(7258,plain,
( ~ perp(skc18,skc17,skc17,skc16)
| perp(skc17,skc20,skc17,skc16) ),
inference(res,[status(thm),theory(equality)],[6553,90]),
[iquote('0:Res:6553.0,90.1')] ).
cnf(7856,plain,
eqangle(skc16,skc17,skc18,skc17,skc16,skc17,skc17,skc18),
inference(res,[status(thm),theory(equality)],[5020,3051]),
[iquote('0:Res:5020.0,3051.0')] ).
cnf(7931,plain,
eqangle(skc16,skc20,skc17,skc20,skc16,skc20,skc20,skc17),
inference(res,[status(thm),theory(equality)],[5086,3055]),
[iquote('0:Res:5086.0,3055.0')] ).
cnf(7933,plain,
eqangle(skc20,skc16,skc17,skc20,skc16,skc20,skc20,skc17),
inference(res,[status(thm),theory(equality)],[5605,3055]),
[iquote('0:Res:5605.0,3055.0')] ).
cnf(8461,plain,
eqangle(skc18,skc17,skc16,skc17,skc17,skc18,skc16,skc17),
inference(res,[status(thm),theory(equality)],[7856,59]),
[iquote('0:Res:7856.0,59.0')] ).
cnf(8483,plain,
eqangle(skc17,skc20,skc16,skc20,skc20,skc17,skc16,skc20),
inference(res,[status(thm),theory(equality)],[7931,59]),
[iquote('0:Res:7931.0,59.0')] ).
cnf(8515,plain,
eqangle(skc16,skc20,skc20,skc17,skc20,skc16,skc17,skc20),
inference(res,[status(thm),theory(equality)],[7933,60]),
[iquote('0:Res:7933.0,60.0')] ).
cnf(8714,plain,
eqangle(skc17,skc18,skc16,skc17,skc18,skc17,skc16,skc17),
inference(res,[status(thm),theory(equality)],[8461,60]),
[iquote('0:Res:8461.0,60.0')] ).
cnf(8763,plain,
eqangle(skc20,skc17,skc16,skc20,skc17,skc20,skc16,skc20),
inference(res,[status(thm),theory(equality)],[8483,60]),
[iquote('0:Res:8483.0,60.0')] ).
cnf(8888,plain,
eqangle(skc20,skc16,skc20,skc17,skc20,skc16,skc17,skc20),
inference(res,[status(thm),theory(equality)],[8515,58]),
[iquote('0:Res:8515.0,58.0')] ).
cnf(8993,plain,
eqangle(skc18,skc17,skc16,skc17,skc18,skc17,skc16,skc17),
inference(res,[status(thm),theory(equality)],[8714,58]),
[iquote('0:Res:8714.0,58.0')] ).
cnf(9160,plain,
eqangle(skc17,skc20,skc16,skc20,skc17,skc20,skc16,skc20),
inference(res,[status(thm),theory(equality)],[8763,58]),
[iquote('0:Res:8763.0,58.0')] ).
cnf(9237,plain,
eqangle(skc20,skc17,skc20,skc16,skc17,skc20,skc20,skc16),
inference(res,[status(thm),theory(equality)],[8888,59]),
[iquote('0:Res:8888.0,59.0')] ).
cnf(9349,plain,
eqangle(skc18,skc17,skc18,skc17,skc16,skc17,skc16,skc17),
inference(res,[status(thm),theory(equality)],[8993,61]),
[iquote('0:Res:8993.0,61.0')] ).
cnf(9474,plain,
eqangle(skc16,skc20,skc17,skc20,skc16,skc20,skc17,skc20),
inference(res,[status(thm),theory(equality)],[9160,59]),
[iquote('0:Res:9160.0,59.0')] ).
cnf(9476,plain,
eqangle(skc17,skc20,skc17,skc20,skc16,skc20,skc16,skc20),
inference(res,[status(thm),theory(equality)],[9160,61]),
[iquote('0:Res:9160.0,61.0')] ).
cnf(9596,plain,
( ~ perp(skc17,skc20,skc20,skc16)
| perp(skc20,skc17,skc20,skc16) ),
inference(res,[status(thm),theory(equality)],[9237,90]),
[iquote('0:Res:9237.0,90.1')] ).
cnf(9722,plain,
( coll(skc18,skc16,skc17)
| cyclic(skc17,skc17,skc18,skc16) ),
inference(res,[status(thm),theory(equality)],[9349,66]),
[iquote('0:Res:9349.0,66.0')] ).
cnf(9729,plain,
( ~ coll(skc18,skc16,skc17)
| cyclic(skc17,skc17,skc18,skc16) ),
inference(res,[status(thm),theory(equality)],[9349,83]),
[iquote('0:Res:9349.0,83.1')] ).
cnf(9734,plain,
cyclic(skc17,skc17,skc18,skc16),
inference(mrr,[status(thm)],[9729,9722]),
[iquote('0:MRR:9729.0,9722.0')] ).
cnf(9740,plain,
( ~ cong(skc17,skc16,skc17,skc16)
| ~ cong(skc17,skc18,skc17,skc18)
| perp(skc18,skc17,skc17,skc16) ),
inference(res,[status(thm),theory(equality)],[9734,99]),
[iquote('0:Res:9734.0,99.0')] ).
cnf(9742,plain,
cyclic(skc17,skc17,skc16,skc18),
inference(res,[status(thm),theory(equality)],[9734,23]),
[iquote('0:Res:9734.0,23.0')] ).
cnf(9743,plain,
cyclic(skc17,skc18,skc17,skc16),
inference(res,[status(thm),theory(equality)],[9734,24]),
[iquote('0:Res:9734.0,24.0')] ).
cnf(9751,plain,
( ~ cyclic(skc17,skc17,skc16,u)
| cyclic(skc17,skc16,u,skc18) ),
inference(res,[status(thm),theory(equality)],[9742,51]),
[iquote('0:Res:9742.0,51.0')] ).
cnf(9753,plain,
cyclic(skc17,skc16,skc17,skc18),
inference(res,[status(thm),theory(equality)],[9742,24]),
[iquote('0:Res:9742.0,24.0')] ).
cnf(9759,plain,
cyclic(skc17,skc18,skc16,skc17),
inference(res,[status(thm),theory(equality)],[9743,23]),
[iquote('0:Res:9743.0,23.0')] ).
cnf(9767,plain,
cyclic(skc17,skc16,skc18,skc17),
inference(res,[status(thm),theory(equality)],[9753,23]),
[iquote('0:Res:9753.0,23.0')] ).
cnf(9778,plain,
( ~ cyclic(skc17,skc18,skc16,skc18)
| cong(skc17,skc18,skc17,skc18) ),
inference(res,[status(thm),theory(equality)],[9759,3218]),
[iquote('0:Res:9759.0,3218.0')] ).
cnf(9792,plain,
cyclic(skc16,skc17,skc18,skc17),
inference(res,[status(thm),theory(equality)],[9767,25]),
[iquote('0:Res:9767.0,25.0')] ).
cnf(9793,plain,
( ~ cyclic(skc17,skc16,skc18,skc16)
| cong(skc17,skc16,skc17,skc16) ),
inference(res,[status(thm),theory(equality)],[9767,3218]),
[iquote('0:Res:9767.0,3218.0')] ).
cnf(9812,plain,
( ~ cyclic(skc16,skc17,skc18,u)
| cyclic(skc17,skc18,u,skc17) ),
inference(res,[status(thm),theory(equality)],[9792,51]),
[iquote('0:Res:9792.0,51.0')] ).
cnf(9933,plain,
eqangle(skc16,skc20,skc16,skc20,skc17,skc20,skc17,skc20),
inference(res,[status(thm),theory(equality)],[9474,61]),
[iquote('0:Res:9474.0,61.0')] ).
cnf(9946,plain,
( ~ coll(skc17,skc16,skc20)
| cyclic(skc20,skc20,skc17,skc16) ),
inference(res,[status(thm),theory(equality)],[9476,83]),
[iquote('0:Res:9476.0,83.1')] ).
cnf(9951,plain,
cyclic(skc20,skc20,skc17,skc16),
inference(mrr,[status(thm)],[9946,2975]),
[iquote('0:MRR:9946.0,2975.0')] ).
cnf(9958,plain,
( ~ cong(skc20,skc16,skc20,skc16)
| ~ cong(skc20,skc17,skc20,skc17)
| perp(skc17,skc20,skc20,skc16) ),
inference(res,[status(thm),theory(equality)],[9951,99]),
[iquote('0:Res:9951.0,99.0')] ).
cnf(9960,plain,
cyclic(skc20,skc20,skc16,skc17),
inference(res,[status(thm),theory(equality)],[9951,23]),
[iquote('0:Res:9951.0,23.0')] ).
cnf(9961,plain,
cyclic(skc20,skc17,skc20,skc16),
inference(res,[status(thm),theory(equality)],[9951,24]),
[iquote('0:Res:9951.0,24.0')] ).
cnf(9970,plain,
( ~ cyclic(skc20,skc20,skc16,u)
| cyclic(skc20,skc16,u,skc17) ),
inference(res,[status(thm),theory(equality)],[9960,51]),
[iquote('0:Res:9960.0,51.0')] ).
cnf(9972,plain,
cyclic(skc20,skc16,skc20,skc17),
inference(res,[status(thm),theory(equality)],[9960,24]),
[iquote('0:Res:9960.0,24.0')] ).
cnf(9997,plain,
cyclic(skc20,skc17,skc16,skc20),
inference(res,[status(thm),theory(equality)],[9961,23]),
[iquote('0:Res:9961.0,23.0')] ).
cnf(10003,plain,
( ~ perp(skc17,skc20,skc17,skc16)
| perp(skc20,skc20,skc20,skc16) ),
inference(res,[status(thm),theory(equality)],[9972,2401]),
[iquote('0:Res:9972.0,2401.0')] ).
cnf(10007,plain,
cyclic(skc20,skc16,skc17,skc20),
inference(res,[status(thm),theory(equality)],[9972,23]),
[iquote('0:Res:9972.0,23.0')] ).
cnf(10020,plain,
( ~ cyclic(skc20,skc17,skc16,skc17)
| cong(skc20,skc17,skc20,skc17) ),
inference(res,[status(thm),theory(equality)],[9997,3218]),
[iquote('0:Res:9997.0,3218.0')] ).
cnf(10047,plain,
( ~ para(skc20,skc20,skc20,skc16)
| para(skc17,skc20,skc17,skc16) ),
inference(res,[status(thm),theory(equality)],[10007,2312]),
[iquote('0:Res:10007.0,2312.0')] ).
cnf(10049,plain,
( ~ cyclic(skc20,skc16,skc17,u)
| cyclic(skc16,skc17,u,skc20) ),
inference(res,[status(thm),theory(equality)],[10007,51]),
[iquote('0:Res:10007.0,51.0')] ).
cnf(10373,plain,
( ~ cyclic(skc20,skc20,skc16,skc20)
| ~ cyclic(skc20,skc20,skc16,skc20)
| ~ cyclic(skc20,skc20,skc16,skc17)
| cong(skc20,skc20,skc20,skc20) ),
inference(res,[status(thm),theory(equality)],[9933,125]),
[iquote('0:Res:9933.0,125.3')] ).
cnf(10377,plain,
( ~ cyclic(skc20,skc20,skc16,skc20)
| ~ cyclic(skc20,skc20,skc16,skc17)
| cong(skc20,skc20,skc20,skc20) ),
inference(obv,[status(thm),theory(equality)],[10373]),
[iquote('0:Obv:10373.0')] ).
cnf(10378,plain,
( ~ cyclic(skc20,skc20,skc16,skc20)
| cong(skc20,skc20,skc20,skc20) ),
inference(mrr,[status(thm)],[10377,9960]),
[iquote('0:MRR:10377.1,9960.0')] ).
cnf(13103,plain,
( ~ para(u,v,w,x)
| ~ para(y,z,x1,x2)
| eqangle(y,z,u,v,x1,x2,w,x) ),
inference(res,[status(thm),theory(equality)],[1365,3062]),
[iquote('0:Res:1365.1,3062.1')] ).
cnf(15507,plain,
( ~ cyclic(skc18,u,skc17,skc20)
| ~ cyclic(skc18,u,skc17,u)
| ~ cyclic(skc18,u,skc17,skc17)
| cong(skc18,u,skc20,u) ),
inference(res,[status(thm),theory(equality)],[2650,3212]),
[iquote('0:Res:2650.0,3212.0')] ).
cnf(16520,plain,
( ~ perp(skc18,u,skc20,skc18)
| ~ cyclic(skc18,u,skc18,skc12)
| ~ cyclic(skc12,skc12,skc18,skc12)
| ~ cyclic(skc12,skc12,skc18,u)
| ~ cyclic(skc12,skc12,skc18,skc18)
| cong(skc12,skc12,skc12,u) ),
inference(res,[status(thm),theory(equality)],[211,3214]),
[iquote('0:Res:211.1,3214.0')] ).
cnf(16523,plain,
( ~ cyclic(skc17,skc20,skc17,skc18)
| ~ cyclic(skc18,skc18,skc17,skc18)
| ~ cyclic(skc18,skc18,skc17,skc20)
| ~ cyclic(skc18,skc18,skc17,skc17)
| cong(skc18,skc18,skc18,skc20) ),
inference(res,[status(thm),theory(equality)],[2639,3214]),
[iquote('0:Res:2639.0,3214.0')] ).
cnf(16524,plain,
( ~ cyclic(skc17,skc18,skc17,skc20)
| ~ cyclic(skc20,skc20,skc17,skc20)
| ~ cyclic(skc20,skc20,skc17,skc18)
| ~ cyclic(skc20,skc20,skc17,skc17)
| cong(skc20,skc20,skc20,skc18) ),
inference(res,[status(thm),theory(equality)],[2650,3214]),
[iquote('0:Res:2650.0,3214.0')] ).
cnf(19005,plain,
coll(skc20,skc18,skc18),
inference(res,[status(thm),theory(equality)],[202,3859]),
[iquote('0:Res:202.0,3859.0')] ).
cnf(24504,plain,
( ~ perp(skc12,u,skc20,skc18)
| ~ cyclic(skc12,u,skc12,skc18)
| ~ cyclic(skc18,skc18,skc12,skc18)
| ~ cyclic(skc18,skc18,skc12,u)
| ~ cyclic(skc18,skc18,skc12,skc12)
| cong(skc18,skc18,skc18,u) ),
inference(res,[status(thm),theory(equality)],[859,3214]),
[iquote('0:Res:859.1,3214.0')] ).
cnf(27599,plain,
( ~ perp(skc21,skc12,skc18,skc16)
| para(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[248,6402]),
[iquote('0:Res:248.1,6402.0')] ).
cnf(33766,plain,
para(u,v,u,v),
inference(mrr,[status(thm)],[27599,243]),
[iquote('0:MRR:27599.0,243.0')] ).
cnf(33767,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[6080,33766]),
[iquote('0:MRR:6080.0,33766.0')] ).
cnf(33770,plain,
cyclic(skc17,skc16,u,skc18),
inference(mrr,[status(thm)],[9751,33767]),
[iquote('0:MRR:9751.0,33767.0')] ).
cnf(33775,plain,
cong(skc20,skc20,skc20,skc20),
inference(mrr,[status(thm)],[10378,33767]),
[iquote('0:MRR:10378.0,33767.0')] ).
cnf(33776,plain,
cyclic(skc20,skc16,u,skc17),
inference(mrr,[status(thm)],[9970,33767]),
[iquote('0:MRR:9970.0,33767.0')] ).
cnf(33842,plain,
( coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(mrr,[status(thm)],[1252,33766]),
[iquote('0:MRR:1252.0,33766.0')] ).
cnf(33876,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[1649,33766]),
[iquote('0:MRR:1649.0,33766.0')] ).
cnf(33965,plain,
( ~ cyclic(skc17,skc18,skc17,skc20)
| cong(skc20,skc20,skc20,skc18) ),
inference(mrr,[status(thm)],[16524,33767]),
[iquote('0:MRR:16524.1,16524.2,16524.3,33767.0,33767.0,33767.0')] ).
cnf(33966,plain,
( ~ cyclic(skc17,skc20,skc17,skc18)
| cong(skc18,skc18,skc18,skc20) ),
inference(mrr,[status(thm)],[16523,33767]),
[iquote('0:MRR:16523.1,16523.2,16523.3,33767.0,33767.0,33767.0')] ).
cnf(33981,plain,
( ~ perp(skc12,u,skc20,skc18)
| ~ cyclic(skc12,u,skc12,skc18)
| cong(skc18,skc18,skc18,u) ),
inference(mrr,[status(thm)],[24504,33767]),
[iquote('0:MRR:24504.2,24504.3,24504.4,33767.0,33767.0,33767.0')] ).
cnf(33989,plain,
( ~ perp(skc18,u,skc20,skc18)
| ~ cyclic(skc18,u,skc18,skc12)
| cong(skc12,skc12,skc12,u) ),
inference(mrr,[status(thm)],[16520,33767]),
[iquote('0:MRR:16520.2,16520.3,16520.4,33767.0,33767.0,33767.0')] ).
cnf(34040,plain,
coll(skc18,skc20,skc18),
inference(res,[status(thm),theory(equality)],[19005,13]),
[iquote('0:Res:19005.0,13.0')] ).
cnf(34573,plain,
coll(skc18,skc18,skc20),
inference(res,[status(thm),theory(equality)],[34040,12]),
[iquote('0:Res:34040.0,12.0')] ).
cnf(35169,plain,
( ~ coll(skc20,skc20,skc20)
| midp(skc20,skc20,skc20) ),
inference(res,[status(thm),theory(equality)],[33775,43]),
[iquote('0:Res:33775.0,43.1')] ).
cnf(35174,plain,
midp(skc20,skc20,skc20),
inference(mrr,[status(thm)],[35169,508]),
[iquote('0:MRR:35169.0,508.0')] ).
cnf(35339,plain,
cyclic(skc17,skc16,skc18,u),
inference(res,[status(thm),theory(equality)],[33770,23]),
[iquote('0:Res:33770.0,23.0')] ).
cnf(35340,plain,
cyclic(skc17,u,skc16,skc18),
inference(res,[status(thm),theory(equality)],[33770,24]),
[iquote('0:Res:33770.0,24.0')] ).
cnf(35341,plain,
cyclic(skc16,skc17,u,skc18),
inference(res,[status(thm),theory(equality)],[33770,25]),
[iquote('0:Res:33770.0,25.0')] ).
cnf(35347,plain,
cong(skc17,skc16,skc17,skc16),
inference(mrr,[status(thm)],[9793,35339]),
[iquote('0:MRR:9793.0,35339.0')] ).
cnf(35348,plain,
cong(skc17,skc18,skc17,skc18),
inference(mrr,[status(thm)],[9778,35340]),
[iquote('0:MRR:9778.0,35340.0')] ).
cnf(35354,plain,
( ~ cyclic(skc16,skc17,skc18,skc16)
| ~ cyclic(skc16,skc17,skc18,skc20)
| cong(skc16,skc17,skc16,skc20) ),
inference(mrr,[status(thm)],[5583,35341]),
[iquote('0:MRR:5583.2,35341.0')] ).
cnf(35356,plain,
( ~ cong(skc17,skc18,skc17,skc18)
| perp(skc18,skc17,skc17,skc16) ),
inference(mrr,[status(thm)],[9740,35347]),
[iquote('0:MRR:9740.0,35347.0')] ).
cnf(35358,plain,
perp(skc18,skc17,skc17,skc16),
inference(mrr,[status(thm)],[35356,35348]),
[iquote('0:MRR:35356.0,35348.0')] ).
cnf(35363,plain,
perp(skc17,skc20,skc17,skc16),
inference(mrr,[status(thm)],[7258,35358]),
[iquote('0:MRR:7258.0,35358.0')] ).
cnf(35378,plain,
perp(skc20,skc20,skc20,skc16),
inference(mrr,[status(thm)],[10003,35363]),
[iquote('0:MRR:10003.0,35363.0')] ).
cnf(35568,plain,
( ~ perp(u,v,skc20,skc20)
| para(u,v,skc20,skc16) ),
inference(res,[status(thm),theory(equality)],[35378,48]),
[iquote('0:Res:35378.0,48.0')] ).
cnf(35571,plain,
perp(skc20,skc20,skc16,skc20),
inference(res,[status(thm),theory(equality)],[35378,21]),
[iquote('0:Res:35378.0,21.0')] ).
cnf(35733,plain,
perp(skc16,skc20,skc20,skc20),
inference(res,[status(thm),theory(equality)],[35571,22]),
[iquote('0:Res:35571.0,22.0')] ).
cnf(35770,plain,
( ~ midp(skc20,skc20,skc20)
| cong(skc16,skc20,skc16,skc20) ),
inference(res,[status(thm),theory(equality)],[35733,46]),
[iquote('0:Res:35733.0,46.1')] ).
cnf(35773,plain,
cong(skc16,skc20,skc16,skc20),
inference(mrr,[status(thm)],[35770,35174]),
[iquote('0:MRR:35770.0,35174.0')] ).
cnf(35818,plain,
cong(skc16,skc20,skc20,skc16),
inference(res,[status(thm),theory(equality)],[35773,26]),
[iquote('0:Res:35773.0,26.0')] ).
cnf(35840,plain,
cong(skc20,skc16,skc16,skc20),
inference(res,[status(thm),theory(equality)],[35818,27]),
[iquote('0:Res:35818.0,27.0')] ).
cnf(35844,plain,
cong(skc20,skc16,skc20,skc16),
inference(res,[status(thm),theory(equality)],[35840,26]),
[iquote('0:Res:35840.0,26.0')] ).
cnf(35846,plain,
( ~ cong(skc20,skc17,skc20,skc17)
| perp(skc17,skc20,skc20,skc16) ),
inference(mrr,[status(thm)],[9958,35844]),
[iquote('0:MRR:9958.0,35844.0')] ).
cnf(35881,plain,
cyclic(skc20,skc16,skc17,u),
inference(res,[status(thm),theory(equality)],[33776,23]),
[iquote('0:Res:33776.0,23.0')] ).
cnf(35882,plain,
cyclic(skc20,u,skc16,skc17),
inference(res,[status(thm),theory(equality)],[33776,24]),
[iquote('0:Res:33776.0,24.0')] ).
cnf(35884,plain,
cyclic(skc16,skc17,u,skc20),
inference(mrr,[status(thm)],[10049,35881]),
[iquote('0:MRR:10049.0,35881.0')] ).
cnf(35890,plain,
cong(skc20,skc17,skc20,skc17),
inference(mrr,[status(thm)],[10020,35882]),
[iquote('0:MRR:10020.0,35882.0')] ).
cnf(35897,plain,
( ~ cyclic(skc16,skc17,skc18,skc16)
| cong(skc16,skc17,skc16,skc20) ),
inference(mrr,[status(thm)],[35354,35884]),
[iquote('0:MRR:35354.1,35884.0')] ).
cnf(35899,plain,
perp(skc17,skc20,skc20,skc16),
inference(mrr,[status(thm)],[35846,35890]),
[iquote('0:MRR:35846.0,35890.0')] ).
cnf(35922,plain,
perp(skc20,skc17,skc20,skc16),
inference(mrr,[status(thm)],[9596,35899]),
[iquote('0:MRR:9596.0,35899.0')] ).
cnf(36126,plain,
( ~ midp(skc17,skc20,skc16)
| cong(skc20,skc20,skc20,skc16) ),
inference(res,[status(thm),theory(equality)],[35922,46]),
[iquote('0:Res:35922.0,46.1')] ).
cnf(36257,plain,
( ~ cyclic(skc17,skc16,skc18,u)
| cyclic(skc16,skc18,u,v) ),
inference(res,[status(thm),theory(equality)],[35339,51]),
[iquote('0:Res:35339.0,51.0')] ).
cnf(36260,plain,
cyclic(skc16,skc17,skc18,u),
inference(res,[status(thm),theory(equality)],[35339,25]),
[iquote('0:Res:35339.0,25.0')] ).
cnf(36261,plain,
cyclic(skc17,skc18,u,skc17),
inference(mrr,[status(thm)],[9812,36260]),
[iquote('0:MRR:9812.0,36260.0')] ).
cnf(36266,plain,
cong(skc16,skc17,skc16,skc20),
inference(mrr,[status(thm)],[35897,36260]),
[iquote('0:MRR:35897.0,36260.0')] ).
cnf(36278,plain,
cyclic(skc16,skc18,u,v),
inference(mrr,[status(thm)],[36257,35339]),
[iquote('0:MRR:36257.0,35339.0')] ).
cnf(36316,plain,
cong(skc16,skc20,skc16,skc17),
inference(res,[status(thm),theory(equality)],[36266,27]),
[iquote('0:Res:36266.0,27.0')] ).
cnf(36822,plain,
( ~ cyclic(skc16,skc17,u,v)
| cyclic(skc17,u,v,skc18) ),
inference(res,[status(thm),theory(equality)],[35341,51]),
[iquote('0:Res:35341.0,51.0')] ).
cnf(36902,plain,
( ~ cyclic(skc20,skc16,skc17,u)
| cyclic(skc16,skc17,u,v) ),
inference(res,[status(thm),theory(equality)],[35881,51]),
[iquote('0:Res:35881.0,51.0')] ).
cnf(36918,plain,
cyclic(skc16,skc17,u,v),
inference(mrr,[status(thm)],[36902,35881]),
[iquote('0:MRR:36902.0,35881.0')] ).
cnf(36930,plain,
cyclic(skc17,u,v,skc18),
inference(mrr,[status(thm)],[36822,36918]),
[iquote('0:MRR:36822.0,36918.0')] ).
cnf(36938,plain,
cong(skc18,skc18,skc18,skc20),
inference(mrr,[status(thm)],[33966,36930]),
[iquote('0:MRR:33966.0,36930.0')] ).
cnf(36986,plain,
( ~ cong(skc18,skc18,skc18,u)
| circle(skc18,skc18,u,skc20) ),
inference(res,[status(thm),theory(equality)],[36938,50]),
[iquote('0:Res:36938.0,50.0')] ).
cnf(36987,plain,
( ~ coll(skc18,skc18,skc20)
| midp(skc18,skc18,skc20) ),
inference(res,[status(thm),theory(equality)],[36938,43]),
[iquote('0:Res:36938.0,43.1')] ).
cnf(36990,plain,
cong(skc18,skc18,skc20,skc18),
inference(res,[status(thm),theory(equality)],[36938,26]),
[iquote('0:Res:36938.0,26.0')] ).
cnf(36991,plain,
midp(skc18,skc18,skc20),
inference(mrr,[status(thm)],[36987,34573]),
[iquote('0:MRR:36987.0,34573.0')] ).
cnf(37003,plain,
midp(skc18,skc20,skc18),
inference(res,[status(thm),theory(equality)],[36991,14]),
[iquote('0:Res:36991.0,14.0')] ).
cnf(37005,plain,
cong(skc12,skc20,skc12,skc18),
inference(mrr,[status(thm)],[674,37003]),
[iquote('0:MRR:674.0,37003.0')] ).
cnf(37177,plain,
( ~ cong(skc18,u,skc20,u)
| perp(skc18,skc20,u,skc18) ),
inference(res,[status(thm),theory(equality)],[36990,53]),
[iquote('0:Res:36990.0,53.0')] ).
cnf(37224,plain,
cong(skc12,skc20,skc18,skc12),
inference(res,[status(thm),theory(equality)],[37005,26]),
[iquote('0:Res:37005.0,26.0')] ).
cnf(37287,plain,
cong(skc18,skc12,skc12,skc20),
inference(res,[status(thm),theory(equality)],[37224,27]),
[iquote('0:Res:37224.0,27.0')] ).
cnf(37323,plain,
cong(skc18,skc12,skc20,skc12),
inference(res,[status(thm),theory(equality)],[37287,26]),
[iquote('0:Res:37287.0,26.0')] ).
cnf(37365,plain,
( ~ cong(skc18,u,skc20,u)
| perp(skc18,skc20,u,skc12) ),
inference(res,[status(thm),theory(equality)],[37323,53]),
[iquote('0:Res:37323.0,53.0')] ).
cnf(37485,plain,
cyclic(skc17,skc18,skc17,u),
inference(res,[status(thm),theory(equality)],[36261,23]),
[iquote('0:Res:36261.0,23.0')] ).
cnf(37490,plain,
cong(skc20,skc20,skc20,skc18),
inference(mrr,[status(thm)],[33965,37485]),
[iquote('0:MRR:33965.0,37485.0')] ).
cnf(37504,plain,
cong(skc20,skc20,skc18,skc20),
inference(res,[status(thm),theory(equality)],[37490,26]),
[iquote('0:Res:37490.0,26.0')] ).
cnf(37557,plain,
cong(skc18,skc20,skc20,skc20),
inference(res,[status(thm),theory(equality)],[37504,27]),
[iquote('0:Res:37504.0,27.0')] ).
cnf(37693,plain,
( ~ cong(skc18,u,skc20,u)
| perp(skc18,skc20,u,skc20) ),
inference(res,[status(thm),theory(equality)],[37557,53]),
[iquote('0:Res:37557.0,53.0')] ).
cnf(38466,plain,
( coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(res,[status(thm),theory(equality)],[33842,25]),
[iquote('0:Res:33842.1,25.0')] ).
cnf(38467,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[38466,33876]),
[iquote('0:MRR:38466.0,33876.0')] ).
cnf(38623,plain,
( ~ cyclic(skc18,u,skc17,skc20)
| ~ cyclic(skc18,u,skc17,u)
| cong(skc18,u,skc20,u) ),
inference(mrr,[status(thm)],[15507,38467]),
[iquote('0:MRR:15507.2,38467.0')] ).
cnf(39317,plain,
( ~ cyclic(skc16,skc18,u,v)
| cyclic(skc18,u,v,w) ),
inference(res,[status(thm),theory(equality)],[36278,51]),
[iquote('0:Res:36278.0,51.0')] ).
cnf(39333,plain,
cyclic(skc18,u,v,w),
inference(mrr,[status(thm)],[39317,36278]),
[iquote('0:MRR:39317.0,36278.0')] ).
cnf(39359,plain,
cong(skc18,u,skc20,u),
inference(mrr,[status(thm)],[38623,39333]),
[iquote('0:MRR:38623.1,38623.0,39333.0')] ).
cnf(39380,plain,
( ~ perp(skc18,u,skc20,skc18)
| cong(skc12,skc12,skc12,u) ),
inference(mrr,[status(thm)],[33989,39333]),
[iquote('0:MRR:33989.1,39333.0')] ).
cnf(39387,plain,
perp(skc18,skc20,u,skc18),
inference(mrr,[status(thm)],[37177,39359]),
[iquote('0:MRR:37177.0,39359.0')] ).
cnf(39388,plain,
perp(skc18,skc20,u,skc12),
inference(mrr,[status(thm)],[37365,39359]),
[iquote('0:MRR:37365.0,39359.0')] ).
cnf(39389,plain,
perp(skc18,skc20,u,skc20),
inference(mrr,[status(thm)],[37693,39359]),
[iquote('0:MRR:37693.0,39359.0')] ).
cnf(41354,plain,
perp(skc18,skc20,skc18,u),
inference(res,[status(thm),theory(equality)],[39387,21]),
[iquote('0:Res:39387.0,21.0')] ).
cnf(41375,plain,
perp(skc18,skc20,skc12,u),
inference(res,[status(thm),theory(equality)],[39388,21]),
[iquote('0:Res:39388.0,21.0')] ).
cnf(41504,plain,
( ~ para(u,v,skc18,skc20)
| perp(u,v,w,skc20) ),
inference(res,[status(thm),theory(equality)],[39389,49]),
[iquote('0:Res:39389.0,49.0')] ).
cnf(41803,plain,
perp(skc18,u,skc18,skc20),
inference(res,[status(thm),theory(equality)],[41354,22]),
[iquote('0:Res:41354.0,22.0')] ).
cnf(41835,plain,
perp(skc12,u,skc18,skc20),
inference(res,[status(thm),theory(equality)],[41375,22]),
[iquote('0:Res:41375.0,22.0')] ).
cnf(42202,plain,
perp(skc18,u,skc20,skc18),
inference(res,[status(thm),theory(equality)],[41803,21]),
[iquote('0:Res:41803.0,21.0')] ).
cnf(42214,plain,
coll(skc18,u,skc12),
inference(mrr,[status(thm)],[3943,42202]),
[iquote('0:MRR:3943.0,42202.0')] ).
cnf(42220,plain,
cong(skc12,skc12,skc12,u),
inference(mrr,[status(thm)],[39380,42202]),
[iquote('0:MRR:39380.0,42202.0')] ).
cnf(42224,plain,
coll(skc18,skc12,u),
inference(res,[status(thm),theory(equality)],[42214,12]),
[iquote('0:Res:42214.0,12.0')] ).
cnf(42272,plain,
( ~ coll(skc18,skc12,u)
| coll(u,v,skc18) ),
inference(res,[status(thm),theory(equality)],[42224,30]),
[iquote('0:Res:42224.0,30.0')] ).
cnf(42349,plain,
coll(u,v,skc18),
inference(mrr,[status(thm)],[42272,42224]),
[iquote('0:MRR:42272.0,42224.0')] ).
cnf(42572,plain,
coll(u,skc18,v),
inference(res,[status(thm),theory(equality)],[42349,12]),
[iquote('0:Res:42349.0,12.0')] ).
cnf(43431,plain,
( ~ coll(u,skc18,v)
| coll(v,w,u) ),
inference(res,[status(thm),theory(equality)],[42572,30]),
[iquote('0:Res:42572.0,30.0')] ).
cnf(43449,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[43431,42572]),
[iquote('0:MRR:43431.0,42572.0')] ).
cnf(43450,plain,
( ~ cong(u,v,u,w)
| midp(u,v,w) ),
inference(mrr,[status(thm)],[43,43449]),
[iquote('0:MRR:43.0,43449.0')] ).
cnf(43553,plain,
( ~ perp(u,v,skf36(w,x,skc20),skc20)
| para(u,v,x,w) ),
inference(mrr,[status(thm)],[4446,43449]),
[iquote('0:MRR:4446.0,43449.0')] ).
cnf(44004,plain,
perp(skc12,u,skc20,skc18),
inference(res,[status(thm),theory(equality)],[41835,21]),
[iquote('0:Res:41835.0,21.0')] ).
cnf(44013,plain,
( ~ cyclic(skc12,u,skc12,skc18)
| cong(skc18,skc18,skc18,u) ),
inference(mrr,[status(thm)],[33981,44004]),
[iquote('0:MRR:33981.0,44004.0')] ).
cnf(44257,plain,
( ~ cong(skc12,skc12,skc12,u)
| ~ cong(skc12,skc12,skc12,v)
| cyclic(skc12,v,u,w) ),
inference(res,[status(thm),theory(equality)],[42220,102]),
[iquote('0:Res:42220.0,102.0')] ).
cnf(44275,plain,
cyclic(skc12,u,v,w),
inference(mrr,[status(thm)],[44257,42220]),
[iquote('0:MRR:44257.0,44257.1,42220.0,42220.0')] ).
cnf(44290,plain,
cong(skc18,skc18,skc18,u),
inference(mrr,[status(thm)],[44013,44275]),
[iquote('0:MRR:44013.0,44275.0')] ).
cnf(44297,plain,
circle(skc18,skc18,u,skc20),
inference(mrr,[status(thm)],[36986,44290]),
[iquote('0:MRR:36986.0,44290.0')] ).
cnf(44299,plain,
midp(skc17,skc16,skc20),
inference(mrr,[status(thm)],[5199,44297]),
[iquote('0:MRR:5199.0,44297.0')] ).
cnf(44335,plain,
midp(skc17,skc20,skc16),
inference(res,[status(thm),theory(equality)],[44299,14]),
[iquote('0:Res:44299.0,14.0')] ).
cnf(44336,plain,
cong(skc20,skc20,skc20,skc16),
inference(mrr,[status(thm)],[36126,44335]),
[iquote('0:MRR:36126.0,44335.0')] ).
cnf(44716,plain,
para(skc20,skc20,skc20,skc16),
inference(res,[status(thm),theory(equality)],[44336,635]),
[iquote('0:Res:44336.0,635.0')] ).
cnf(44718,plain,
para(skc17,skc20,skc17,skc16),
inference(mrr,[status(thm)],[10047,44716]),
[iquote('0:MRR:10047.0,44716.0')] ).
cnf(44719,plain,
para(skc18,skc17,skc16,skc17),
inference(mrr,[status(thm)],[5733,44718]),
[iquote('0:MRR:5733.0,44718.0')] ).
cnf(44725,plain,
para(skc20,skc17,skc16,skc17),
inference(mrr,[status(thm)],[6203,44719]),
[iquote('0:MRR:6203.0,44719.0')] ).
cnf(45059,plain,
( ~ para(skc20,skc17,skc16,skc17)
| para(skc16,skc20,skc20,skc17) ),
inference(res,[status(thm),theory(equality)],[36316,2308]),
[iquote('0:Res:36316.0,2308.0')] ).
cnf(45068,plain,
para(skc16,skc20,skc20,skc17),
inference(mrr,[status(thm)],[45059,44725]),
[iquote('0:MRR:45059.0,44725.0')] ).
cnf(45073,plain,
para(skc20,skc16,skc18,skc20),
inference(mrr,[status(thm)],[5700,45068]),
[iquote('0:MRR:5700.0,45068.0')] ).
cnf(46055,plain,
( ~ para(u,v,skc20,skc16)
| para(u,v,skc18,skc20) ),
inference(res,[status(thm),theory(equality)],[45073,47]),
[iquote('0:Res:45073.0,47.0')] ).
cnf(47933,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[33767,51]),
[iquote('0:Res:33767.0,51.0')] ).
cnf(48034,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[47933,33767]),
[iquote('0:MRR:47933.0,33767.0')] ).
cnf(48055,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3218,48034]),
[iquote('0:MRR:3218.0,3218.1,48034.0')] ).
cnf(48291,plain,
( ~ midp(u,v,v)
| perp(u,u,w,v) ),
inference(mrr,[status(thm)],[784,48055]),
[iquote('0:MRR:784.1,48055.0')] ).
cnf(49212,plain,
midp(u,v,v),
inference(res,[status(thm),theory(equality)],[48055,43450]),
[iquote('0:Res:48055.0,43450.0')] ).
cnf(49298,plain,
perp(u,u,v,w),
inference(mrr,[status(thm)],[48291,49212]),
[iquote('0:MRR:48291.0,49212.0')] ).
cnf(49583,plain,
perp(u,v,w,w),
inference(res,[status(thm),theory(equality)],[49298,22]),
[iquote('0:Res:49298.0,22.0')] ).
cnf(49605,plain,
para(u,v,skc20,skc16),
inference(mrr,[status(thm)],[35568,49583]),
[iquote('0:MRR:35568.0,49583.0')] ).
cnf(49640,plain,
para(u,v,skc18,skc20),
inference(mrr,[status(thm)],[46055,49605]),
[iquote('0:MRR:46055.0,49605.0')] ).
cnf(50053,plain,
perp(u,v,w,skc20),
inference(mrr,[status(thm)],[41504,49640]),
[iquote('0:MRR:41504.0,49640.0')] ).
cnf(50290,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[43553,50053]),
[iquote('0:MRR:43553.0,50053.0')] ).
cnf(50787,plain,
eqangle(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[13103,50290]),
[iquote('0:MRR:13103.1,13103.0,50290.0')] ).
cnf(54103,plain,
$false,
inference(mrr,[status(thm)],[16,50787]),
[iquote('0:MRR:16.0,50787.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO615+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n004.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 : Fri Jun 17 17:34:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 54.56/54.75
% 54.56/54.75 SPASS V 3.9
% 54.56/54.75 SPASS beiseite: Proof found.
% 54.56/54.75 % SZS status Theorem
% 54.56/54.75 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 54.56/54.75 SPASS derived 50864 clauses, backtracked 11156 clauses, performed 5 splits and kept 33430 clauses.
% 54.56/54.75 SPASS allocated 117673 KBytes.
% 54.56/54.75 SPASS spent 0:0:54.35 on the problem.
% 54.56/54.75 0:00:00.04 for the input.
% 54.56/54.75 0:00:00.22 for the FLOTTER CNF translation.
% 54.56/54.75 0:00:00.81 for inferences.
% 54.56/54.75 0:00:00.01 for the backtracking.
% 54.56/54.75 0:0:52.12 for the reduction.
% 54.56/54.75
% 54.56/54.75
% 54.56/54.75 Here is a proof with depth 19, length 330 :
% 54.56/54.75 % SZS output start Refutation
% See solution above
% 54.69/54.88 Formulae used in the proof : exemplo6GDDFULL618077 ruleD1 ruleD2 ruleD11 ruleD66 ruleD68 ruleD5 ruleD7 ruleD8 ruleD14 ruleD15 ruleD16 ruleD23 ruleD24 ruleD3 ruleD39 ruleD40 ruleD41 ruleD46 ruleD67 ruleD55 ruleD6 ruleD9 ruleD10 ruleD12 ruleD17 ruleD56 ruleD18 ruleD19 ruleD20 ruleD21 ruleD42a ruleX15 ruleD42b ruleD74 ruleD73 ruleD54 ruleD57 ruleD13 ruleD51 ruleD22 ruleD43
% 54.69/54.88
%------------------------------------------------------------------------------