TSTP Solution File: GEO599+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO599+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 06:25:27 EDT 2022
% Result : Theorem 48.02s 48.20s
% Output : Refutation 48.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 31
% Syntax : Number of clauses : 127 ( 61 unt; 2 nHn; 127 RR)
% Number of literals : 229 ( 0 equ; 102 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-8 aty)
% Number of functors : 19 ( 19 usr; 19 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
midp(skc11,skc15,skc16),
file('GEO599+1.p',unknown),
[] ).
cnf(2,axiom,
coll(skc13,skc15,skc14),
file('GEO599+1.p',unknown),
[] ).
cnf(3,axiom,
coll(skc12,skc10,skc11),
file('GEO599+1.p',unknown),
[] ).
cnf(5,axiom,
circle(skc10,skc16,skc15,skc14),
file('GEO599+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO599+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO599+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ midp(u,v,w)
| coll(u,v,w) ),
file('GEO599+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO599+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO599+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO599+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO599+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO599+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO599+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ coll(u,v,w)
| ~ cong(u,v,u,w)
| midp(u,v,w) ),
file('GEO599+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ eqangle(u,v,v,w,u,x,x,y)
| skP0(y,x,w,v,u) ),
file('GEO599+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ eqangle(u,v,v,w,v,x,x,y)
| skP1(x,y,w,u,v) ),
file('GEO599+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ eqangle(u,v,v,w,x,u,u,y)
| skP2(y,x,w,v,u) ),
file('GEO599+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ eqangle(u,v,v,w,v,x,x,y)
| skP3(y,x,w,u,v) ),
file('GEO599+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ midp(u,v,w)
| ~ perp(v,x,x,w)
| cong(v,u,x,u) ),
file('GEO599+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ coll(u,v,w)
| ~ circle(u,v,x,w)
| perp(v,x,x,w) ),
file('GEO599+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO599+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO599+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO599+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO599+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO599+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO599+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO599+1.p',unknown),
[] ).
cnf(101,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO599+1.p',unknown),
[] ).
cnf(121,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('GEO599+1.p',unknown),
[] ).
cnf(127,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('GEO599+1.p',unknown),
[] ).
cnf(128,axiom,
( ~ eqangle(skc10,skc16,skc16,skc12,skc16,skc13,skc13,skc14)
| ~ eqangle(skc10,skc16,skc16,skc12,skc14,skc16,skc16,skc13)
| ~ skP0(skc13,skc14,skc12,skc10,skc16)
| ~ skP1(skc14,skc13,skc12,skc10,skc16)
| ~ skP2(skc13,skc14,skc12,skc10,skc16)
| ~ skP3(skc14,skc13,skc12,skc10,skc16)
| ~ eqangle(skc16,skc10,skc10,skc12,skc16,skc14,skc14,skc13) ),
file('GEO599+1.p',unknown),
[] ).
cnf(130,plain,
( ~ skP2(skc13,skc14,skc12,skc10,skc16)
| ~ skP1(skc14,skc13,skc12,skc10,skc16)
| ~ eqangle(skc16,skc10,skc10,skc12,skc16,skc14,skc14,skc13)
| ~ eqangle(skc10,skc16,skc16,skc12,skc16,skc13,skc13,skc14)
| ~ eqangle(skc10,skc16,skc16,skc12,skc14,skc16,skc16,skc13) ),
inference(mrr,[status(thm)],[128,38,45]),
[iquote('0:MRR:128.2,128.5,38.1,45.1')] ).
cnf(133,plain,
( ~ coll(skc12,skc10,u)
| coll(skc11,u,skc12) ),
inference(res,[status(thm),theory(equality)],[3,24]),
[iquote('0:Res:3.0,24.0')] ).
cnf(134,plain,
coll(skc12,skc11,skc10),
inference(res,[status(thm),theory(equality)],[3,7]),
[iquote('0:Res:3.0,7.0')] ).
cnf(156,plain,
( ~ coll(skc13,skc15,u)
| coll(skc14,u,skc13) ),
inference(res,[status(thm),theory(equality)],[2,24]),
[iquote('0:Res:2.0,24.0')] ).
cnf(157,plain,
coll(skc13,skc14,skc15),
inference(res,[status(thm),theory(equality)],[2,7]),
[iquote('0:Res:2.0,7.0')] ).
cnf(194,plain,
coll(skc11,skc15,skc16),
inference(res,[status(thm),theory(equality)],[1,10]),
[iquote('0:Res:1.0,10.0')] ).
cnf(218,plain,
( ~ coll(skc10,skc16,skc14)
| perp(skc16,skc15,skc15,skc14) ),
inference(res,[status(thm),theory(equality)],[5,47]),
[iquote('0:Res:5.0,47.0')] ).
cnf(276,plain,
coll(skc11,skc11,skc12),
inference(res,[status(thm),theory(equality)],[3,133]),
[iquote('0:Res:3.0,133.0')] ).
cnf(281,plain,
coll(skc15,skc11,skc16),
inference(res,[status(thm),theory(equality)],[194,8]),
[iquote('0:Res:194.0,8.0')] ).
cnf(283,plain,
coll(skc14,skc13,skc15),
inference(res,[status(thm),theory(equality)],[157,8]),
[iquote('0:Res:157.0,8.0')] ).
cnf(285,plain,
coll(skc11,skc12,skc10),
inference(res,[status(thm),theory(equality)],[134,8]),
[iquote('0:Res:134.0,8.0')] ).
cnf(297,plain,
coll(skc11,skc16,skc15),
inference(res,[status(thm),theory(equality)],[194,7]),
[iquote('0:Res:194.0,7.0')] ).
cnf(299,plain,
coll(skc14,skc15,skc13),
inference(res,[status(thm),theory(equality)],[283,7]),
[iquote('0:Res:283.0,7.0')] ).
cnf(304,plain,
( ~ coll(skc13,skc15,u)
| coll(skc14,skc13,u) ),
inference(res,[status(thm),theory(equality)],[156,7]),
[iquote('0:Res:156.1,7.0')] ).
cnf(306,plain,
coll(skc15,skc16,skc11),
inference(res,[status(thm),theory(equality)],[281,7]),
[iquote('0:Res:281.0,7.0')] ).
cnf(525,plain,
( ~ coll(skc14,skc15,u)
| coll(u,skc13,skc14) ),
inference(res,[status(thm),theory(equality)],[299,24]),
[iquote('0:Res:299.0,24.0')] ).
cnf(528,plain,
( ~ coll(skc14,skc13,u)
| coll(u,skc15,skc14) ),
inference(res,[status(thm),theory(equality)],[283,24]),
[iquote('0:Res:283.0,24.0')] ).
cnf(530,plain,
( ~ coll(skc13,skc15,u)
| ~ coll(skc14,skc13,v)
| coll(v,u,skc14) ),
inference(res,[status(thm),theory(equality)],[304,24]),
[iquote('0:Res:304.1,24.0')] ).
cnf(531,plain,
( ~ coll(skc13,skc14,u)
| coll(u,skc15,skc13) ),
inference(res,[status(thm),theory(equality)],[157,24]),
[iquote('0:Res:157.0,24.0')] ).
cnf(568,plain,
coll(skc13,skc13,skc14),
inference(res,[status(thm),theory(equality)],[299,525]),
[iquote('0:Res:299.0,525.0')] ).
cnf(572,plain,
( ~ coll(skc13,skc13,u)
| coll(u,skc14,skc13) ),
inference(res,[status(thm),theory(equality)],[568,24]),
[iquote('0:Res:568.0,24.0')] ).
cnf(630,plain,
coll(skc15,skc15,skc14),
inference(res,[status(thm),theory(equality)],[283,528]),
[iquote('0:Res:283.0,528.0')] ).
cnf(639,plain,
( ~ coll(skc15,skc15,u)
| coll(u,skc14,skc15) ),
inference(res,[status(thm),theory(equality)],[630,24]),
[iquote('0:Res:630.0,24.0')] ).
cnf(661,plain,
coll(skc15,skc15,skc13),
inference(res,[status(thm),theory(equality)],[157,531]),
[iquote('0:Res:157.0,531.0')] ).
cnf(668,plain,
( ~ coll(skc15,skc15,u)
| coll(u,skc13,skc15) ),
inference(res,[status(thm),theory(equality)],[661,24]),
[iquote('0:Res:661.0,24.0')] ).
cnf(1478,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[32,63]),
[iquote('0:Res:32.1,63.0')] ).
cnf(1512,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[32,61]),
[iquote('0:Res:32.1,61.0')] ).
cnf(2883,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)],[32,121]),
[iquote('0:Res:32.1,121.0')] ).
cnf(3047,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)],[33,127]),
[iquote('0:Res:33.1,127.3')] ).
cnf(3049,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)],[3047]),
[iquote('0:Obv:3047.0')] ).
cnf(3050,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3049]),
[iquote('0:Con:3049.2')] ).
cnf(3236,plain,
( ~ coll(skc10,skc16,skc14)
| ~ perp(u,v,skc16,skc15)
| para(u,v,skc15,skc14) ),
inference(res,[status(thm),theory(equality)],[218,50]),
[iquote('0:Res:218.1,50.0')] ).
cnf(3239,plain,
( ~ coll(skc10,skc16,skc14)
| perp(skc15,skc14,skc16,skc15) ),
inference(res,[status(thm),theory(equality)],[218,16]),
[iquote('0:Res:218.1,16.0')] ).
cnf(4856,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1478,68]),
[iquote('0:Res:1478.1,68.0')] ).
cnf(4867,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1478,85]),
[iquote('0:Res:1478.1,85.1')] ).
cnf(4881,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4867,4856]),
[iquote('0:MRR:4867.1,4856.1')] ).
cnf(5148,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1512,31]),
[iquote('0:Res:1512.1,31.0')] ).
cnf(9334,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)],[1512,2883]),
[iquote('0:Res:1512.1,2883.1')] ).
cnf(39672,plain,
( ~ coll(skc11,skc15,u)
| coll(u,skc16,skc11) ),
inference(res,[status(thm),theory(equality)],[194,24]),
[iquote('0:Res:194.0,24.0')] ).
cnf(39673,plain,
( ~ coll(skc11,skc16,u)
| coll(u,skc15,skc11) ),
inference(res,[status(thm),theory(equality)],[297,24]),
[iquote('0:Res:297.0,24.0')] ).
cnf(39676,plain,
( ~ coll(skc11,skc12,u)
| coll(u,skc10,skc11) ),
inference(res,[status(thm),theory(equality)],[285,24]),
[iquote('0:Res:285.0,24.0')] ).
cnf(39679,plain,
( ~ coll(skc11,skc11,u)
| coll(u,skc12,skc11) ),
inference(res,[status(thm),theory(equality)],[276,24]),
[iquote('0:Res:276.0,24.0')] ).
cnf(39685,plain,
( ~ coll(skc15,skc16,u)
| coll(u,skc11,skc15) ),
inference(res,[status(thm),theory(equality)],[306,24]),
[iquote('0:Res:306.0,24.0')] ).
cnf(47048,plain,
coll(skc15,skc15,skc11),
inference(res,[status(thm),theory(equality)],[297,39673]),
[iquote('0:Res:297.0,39673.0')] ).
cnf(47094,plain,
coll(skc11,skc14,skc15),
inference(res,[status(thm),theory(equality)],[47048,639]),
[iquote('0:Res:47048.0,639.0')] ).
cnf(47105,plain,
coll(skc11,skc15,skc14),
inference(res,[status(thm),theory(equality)],[47094,7]),
[iquote('0:Res:47094.0,7.0')] ).
cnf(47121,plain,
( ~ coll(skc11,skc15,u)
| coll(u,skc14,skc11) ),
inference(res,[status(thm),theory(equality)],[47105,24]),
[iquote('0:Res:47105.0,24.0')] ).
cnf(47124,plain,
coll(skc14,skc16,skc11),
inference(res,[status(thm),theory(equality)],[47105,39672]),
[iquote('0:Res:47105.0,39672.0')] ).
cnf(47159,plain,
coll(skc14,skc11,skc16),
inference(res,[status(thm),theory(equality)],[47124,7]),
[iquote('0:Res:47124.0,7.0')] ).
cnf(47207,plain,
( ~ coll(skc14,skc11,u)
| coll(u,skc16,skc14) ),
inference(res,[status(thm),theory(equality)],[47159,24]),
[iquote('0:Res:47159.0,24.0')] ).
cnf(48367,plain,
coll(skc11,skc11,skc15),
inference(res,[status(thm),theory(equality)],[306,39685]),
[iquote('0:Res:306.0,39685.0')] ).
cnf(48431,plain,
coll(skc15,skc12,skc11),
inference(res,[status(thm),theory(equality)],[48367,39679]),
[iquote('0:Res:48367.0,39679.0')] ).
cnf(48437,plain,
coll(skc12,skc15,skc11),
inference(res,[status(thm),theory(equality)],[48431,8]),
[iquote('0:Res:48431.0,8.0')] ).
cnf(48455,plain,
coll(skc12,skc11,skc15),
inference(res,[status(thm),theory(equality)],[48437,7]),
[iquote('0:Res:48437.0,7.0')] ).
cnf(48470,plain,
coll(skc11,skc12,skc15),
inference(res,[status(thm),theory(equality)],[48455,8]),
[iquote('0:Res:48455.0,8.0')] ).
cnf(48489,plain,
coll(skc15,skc10,skc11),
inference(res,[status(thm),theory(equality)],[48470,39676]),
[iquote('0:Res:48470.0,39676.0')] ).
cnf(48540,plain,
coll(skc15,skc11,skc10),
inference(res,[status(thm),theory(equality)],[48489,7]),
[iquote('0:Res:48489.0,7.0')] ).
cnf(48648,plain,
coll(skc11,skc15,skc10),
inference(res,[status(thm),theory(equality)],[48540,8]),
[iquote('0:Res:48540.0,8.0')] ).
cnf(51587,plain,
coll(skc10,skc14,skc11),
inference(res,[status(thm),theory(equality)],[48648,47121]),
[iquote('0:Res:48648.0,47121.0')] ).
cnf(51659,plain,
coll(skc14,skc10,skc11),
inference(res,[status(thm),theory(equality)],[51587,8]),
[iquote('0:Res:51587.0,8.0')] ).
cnf(51736,plain,
coll(skc14,skc11,skc10),
inference(res,[status(thm),theory(equality)],[51659,7]),
[iquote('0:Res:51659.0,7.0')] ).
cnf(53583,plain,
coll(skc10,skc16,skc14),
inference(res,[status(thm),theory(equality)],[51736,47207]),
[iquote('0:Res:51736.0,47207.0')] ).
cnf(53627,plain,
perp(skc15,skc14,skc16,skc15),
inference(mrr,[status(thm)],[3239,53583]),
[iquote('0:MRR:3239.0,53583.0')] ).
cnf(53630,plain,
( ~ perp(u,v,skc16,skc15)
| para(u,v,skc15,skc14) ),
inference(mrr,[status(thm)],[3236,53583]),
[iquote('0:MRR:3236.0,53583.0')] ).
cnf(56916,plain,
para(skc15,skc14,skc15,skc14),
inference(res,[status(thm),theory(equality)],[53627,53630]),
[iquote('0:Res:53627.0,53630.0')] ).
cnf(57129,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[56916,5148]),
[iquote('0:Res:56916.0,5148.0')] ).
cnf(57137,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4881,57129]),
[iquote('0:MRR:4881.0,57129.0')] ).
cnf(57794,plain,
coll(u,v,v),
inference(res,[status(thm),theory(equality)],[57129,11]),
[iquote('0:Res:57129.0,11.0')] ).
cnf(57871,plain,
coll(u,v,u),
inference(res,[status(thm),theory(equality)],[57794,8]),
[iquote('0:Res:57794.0,8.0')] ).
cnf(57960,plain,
coll(u,u,v),
inference(res,[status(thm),theory(equality)],[57871,7]),
[iquote('0:Res:57871.0,7.0')] ).
cnf(58015,plain,
coll(u,skc14,skc13),
inference(mrr,[status(thm)],[572,57960]),
[iquote('0:MRR:572.0,57960.0')] ).
cnf(58018,plain,
coll(u,skc13,skc15),
inference(mrr,[status(thm)],[668,57960]),
[iquote('0:MRR:668.0,57960.0')] ).
cnf(58199,plain,
coll(skc14,u,skc13),
inference(res,[status(thm),theory(equality)],[58015,8]),
[iquote('0:Res:58015.0,8.0')] ).
cnf(58209,plain,
coll(skc13,u,skc15),
inference(res,[status(thm),theory(equality)],[58018,8]),
[iquote('0:Res:58018.0,8.0')] ).
cnf(58347,plain,
coll(skc14,skc13,u),
inference(res,[status(thm),theory(equality)],[58199,7]),
[iquote('0:Res:58199.0,7.0')] ).
cnf(58349,plain,
( ~ coll(skc13,skc15,u)
| coll(v,u,skc14) ),
inference(mrr,[status(thm)],[530,58347]),
[iquote('0:MRR:530.1,58347.0')] ).
cnf(58382,plain,
coll(skc13,skc15,u),
inference(res,[status(thm),theory(equality)],[58209,7]),
[iquote('0:Res:58209.0,7.0')] ).
cnf(58388,plain,
coll(u,v,skc14),
inference(mrr,[status(thm)],[58349,58382]),
[iquote('0:MRR:58349.0,58382.0')] ).
cnf(58957,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[57137,101]),
[iquote('0:Res:57137.0,101.0')] ).
cnf(58958,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[57137,53]),
[iquote('0:Res:57137.0,53.0')] ).
cnf(59035,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[58958,57137]),
[iquote('0:MRR:58958.0,57137.0')] ).
cnf(59056,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3050,59035]),
[iquote('0:MRR:3050.1,3050.0,59035.0')] ).
cnf(59339,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[58957,59056]),
[iquote('0:MRR:58957.0,58957.1,59056.0,59056.0')] ).
cnf(59352,plain,
( ~ midp(u,v,w)
| cong(v,u,x,u) ),
inference(mrr,[status(thm)],[46,59339]),
[iquote('0:MRR:46.1,59339.0')] ).
cnf(59672,plain,
coll(u,skc14,v),
inference(res,[status(thm),theory(equality)],[58388,7]),
[iquote('0:Res:58388.0,7.0')] ).
cnf(59865,plain,
( ~ coll(u,skc14,v)
| coll(v,w,u) ),
inference(res,[status(thm),theory(equality)],[59672,24]),
[iquote('0:Res:59672.0,24.0')] ).
cnf(59868,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[59865,59672]),
[iquote('0:MRR:59865.0,59672.0')] ).
cnf(59869,plain,
( ~ cong(u,v,u,w)
| midp(u,v,w) ),
inference(mrr,[status(thm)],[37,59868]),
[iquote('0:MRR:37.0,59868.0')] ).
cnf(60493,plain,
midp(u,v,v),
inference(res,[status(thm),theory(equality)],[59056,59869]),
[iquote('0:Res:59056.0,59869.0')] ).
cnf(60662,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[60493,59352]),
[iquote('0:Res:60493.0,59352.0')] ).
cnf(60668,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[55,60662]),
[iquote('0:MRR:55.1,55.0,60662.0')] ).
cnf(60676,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[50,60668]),
[iquote('0:MRR:50.1,50.0,60668.0')] ).
cnf(60930,plain,
eqangle(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[9334,60676]),
[iquote('0:MRR:9334.1,9334.0,60676.0')] ).
cnf(61847,plain,
skP2(u,v,w,x,y),
inference(mrr,[status(thm)],[42,60930]),
[iquote('0:MRR:42.0,60930.0')] ).
cnf(61850,plain,
skP1(u,v,w,x,y),
inference(mrr,[status(thm)],[41,60930]),
[iquote('0:MRR:41.0,60930.0')] ).
cnf(61932,plain,
$false,
inference(mrr,[status(thm)],[130,61847,61850,60930]),
[iquote('0:MRR:130.0,130.1,130.2,130.3,130.4,61847.0,61850.0,60930.0,60930.0,60930.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO599+1 : TPTP v8.1.0. Released v7.5.0.
% 0.04/0.14 % Command : run_spass %d %s
% 0.13/0.36 % Computer : n008.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 600
% 0.13/0.36 % DateTime : Sat Jun 18 01:46:39 EDT 2022
% 0.13/0.36 % CPUTime :
% 48.02/48.20
% 48.02/48.20 SPASS V 3.9
% 48.02/48.20 SPASS beiseite: Proof found.
% 48.02/48.20 % SZS status Theorem
% 48.02/48.20 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 48.02/48.20 SPASS derived 59903 clauses, backtracked 6076 clauses, performed 8 splits and kept 29955 clauses.
% 48.02/48.20 SPASS allocated 117451 KBytes.
% 48.02/48.20 SPASS spent 0:0:47.77 on the problem.
% 48.02/48.20 0:00:00.04 for the input.
% 48.02/48.20 0:00:00.28 for the FLOTTER CNF translation.
% 48.02/48.20 0:00:01.67 for inferences.
% 48.02/48.20 0:00:00.02 for the backtracking.
% 48.02/48.20 0:0:44.06 for the reduction.
% 48.02/48.20
% 48.02/48.20
% 48.02/48.20 Here is a proof with depth 16, length 127 :
% 48.02/48.20 % SZS output start Refutation
% See solution above
% 48.26/48.46 Formulae used in the proof : exemplo6GDDFULL618061 ruleD1 ruleD2 ruleD69 ruleD66 ruleD8 ruleD3 ruleD39 ruleD40 ruleD41 ruleD67 ruleD52 ruleD53 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleD42b ruleD57 ruleD22 ruleD43
% 48.26/48.46
%------------------------------------------------------------------------------