TSTP Solution File: GEO582+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO582+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 06:25:21 EDT 2022
% Result : Theorem 15.00s 15.23s
% Output : Refutation 15.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 39
% Syntax : Number of clauses : 175 ( 73 unt; 12 nHn; 175 RR)
% Number of literals : 327 ( 0 equ; 144 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 : 16 ( 16 usr; 15 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
coll(skc10,skc13,skc12),
file('GEO582+1.p',unknown),
[] ).
cnf(2,axiom,
coll(skc11,skc8,skc9),
file('GEO582+1.p',unknown),
[] ).
cnf(4,axiom,
circle(skc14,skc13,skc12,skc8),
file('GEO582+1.p',unknown),
[] ).
cnf(5,axiom,
perp(skc13,skc12,skc13,skc11),
file('GEO582+1.p',unknown),
[] ).
cnf(7,axiom,
~ para(skc9,skc12,skc11,skc10),
file('GEO582+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO582+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO582+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO582+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO582+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO582+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ perp(u,v,w,x)
| perp(u,v,x,w) ),
file('GEO582+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO582+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,v,x,w) ),
file('GEO582+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,w,v,x) ),
file('GEO582+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO582+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO582+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO582+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO582+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO582+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ cong(u,v,u,w)
| eqangle(u,v,v,w,v,w,u,w) ),
file('GEO582+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ coll(u,v,w)
| ~ cong(u,v,u,w)
| midp(u,v,w) ),
file('GEO582+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ midp(u,v,w)
| ~ perp(v,x,x,w)
| cong(v,u,x,u) ),
file('GEO582+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO582+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ perp(u,v,w,x)
| ~ para(y,z,u,v)
| perp(y,z,w,x) ),
file('GEO582+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO582+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO582+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO582+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(y,z,x1,x2,u,v,w,x) ),
file('GEO582+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO582+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO582+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ coll(u,v,w)
| ~ perp(x,y,y,u)
| perp(skf36(w,v,x),x,v,w) ),
file('GEO582+1.p',unknown),
[] ).
cnf(74,axiom,
( ~ eqangle(u,v,w,x,w,x,u,v)
| para(u,v,w,x)
| perp(u,v,w,x) ),
file('GEO582+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO582+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ perp(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,w,x)
| perp(y,z,x1,x2) ),
file('GEO582+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| eqangle(u,x,w,x,w,x,w,v) ),
file('GEO582+1.p',unknown),
[] ).
cnf(90,axiom,
( ~ circle(u,v,w,x)
| ~ eqangle(v,y,v,w,x,v,x,w)
| perp(u,v,v,y) ),
file('GEO582+1.p',unknown),
[] ).
cnf(91,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO582+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO582+1.p',unknown),
[] ).
cnf(120,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('GEO582+1.p',unknown),
[] ).
cnf(124,plain,
coll(skc8,skc11,skc9),
inference(res,[status(thm),theory(equality)],[2,9]),
[iquote('0:Res:2.0,9.0')] ).
cnf(146,plain,
coll(skc10,skc12,skc13),
inference(res,[status(thm),theory(equality)],[1,8]),
[iquote('0:Res:1.0,8.0')] ).
cnf(147,plain,
coll(skc13,skc10,skc12),
inference(res,[status(thm),theory(equality)],[1,9]),
[iquote('0:Res:1.0,9.0')] ).
cnf(196,plain,
( ~ perp(skc13,skc11,u,v)
| para(skc13,skc12,u,v) ),
inference(res,[status(thm),theory(equality)],[5,43]),
[iquote('0:Res:5.0,43.0')] ).
cnf(197,plain,
perp(skc13,skc12,skc11,skc13),
inference(res,[status(thm),theory(equality)],[5,16]),
[iquote('0:Res:5.0,16.0')] ).
cnf(198,plain,
perp(skc13,skc11,skc13,skc12),
inference(res,[status(thm),theory(equality)],[5,17]),
[iquote('0:Res:5.0,17.0')] ).
cnf(204,plain,
( ~ perp(u,v,skc13,skc12)
| para(u,v,skc13,skc11) ),
inference(res,[status(thm),theory(equality)],[5,43]),
[iquote('0:Res:5.0,43.1')] ).
cnf(210,plain,
( ~ perp(skc14,skc13,skc13,u)
| eqangle(skc13,u,skc13,skc12,skc8,skc13,skc8,skc12) ),
inference(res,[status(thm),theory(equality)],[4,91]),
[iquote('0:Res:4.0,91.0')] ).
cnf(211,plain,
( ~ eqangle(skc13,u,skc13,skc12,skc8,skc13,skc8,skc12)
| perp(skc14,skc13,skc13,u) ),
inference(res,[status(thm),theory(equality)],[4,90]),
[iquote('0:Res:4.0,90.0')] ).
cnf(233,plain,
( ~ perp(u,v,skc11,skc10)
| ~ perp(skc9,skc12,u,v) ),
inference(res,[status(thm),theory(equality)],[43,7]),
[iquote('0:Res:43.2,7.0')] ).
cnf(278,plain,
coll(skc8,skc9,skc11),
inference(res,[status(thm),theory(equality)],[124,8]),
[iquote('0:Res:124.0,8.0')] ).
cnf(370,plain,
perp(skc11,skc13,skc13,skc12),
inference(res,[status(thm),theory(equality)],[197,17]),
[iquote('0:Res:197.0,17.0')] ).
cnf(428,plain,
( ~ coll(skc13,skc10,u)
| coll(u,skc12,skc13) ),
inference(res,[status(thm),theory(equality)],[147,25]),
[iquote('0:Res:147.0,25.0')] ).
cnf(430,plain,
( ~ coll(skc10,skc12,u)
| coll(u,skc13,skc10) ),
inference(res,[status(thm),theory(equality)],[146,25]),
[iquote('0:Res:146.0,25.0')] ).
cnf(445,plain,
( ~ coll(skc8,skc9,u)
| coll(u,skc11,skc8) ),
inference(res,[status(thm),theory(equality)],[278,25]),
[iquote('0:Res:278.0,25.0')] ).
cnf(562,plain,
coll(skc13,skc13,skc10),
inference(res,[status(thm),theory(equality)],[146,430]),
[iquote('0:Res:146.0,430.0')] ).
cnf(565,plain,
coll(skc13,skc10,skc13),
inference(res,[status(thm),theory(equality)],[562,8]),
[iquote('0:Res:562.0,8.0')] ).
cnf(570,plain,
coll(skc13,skc12,skc13),
inference(res,[status(thm),theory(equality)],[565,428]),
[iquote('0:Res:565.0,428.0')] ).
cnf(577,plain,
coll(skc13,skc13,skc12),
inference(res,[status(thm),theory(equality)],[570,8]),
[iquote('0:Res:570.0,8.0')] ).
cnf(579,plain,
( ~ coll(skc13,skc13,u)
| coll(u,skc12,skc13) ),
inference(res,[status(thm),theory(equality)],[577,25]),
[iquote('0:Res:577.0,25.0')] ).
cnf(596,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[34,32]),
[iquote('0:Res:34.1,32.0')] ).
cnf(729,plain,
coll(skc11,skc11,skc8),
inference(res,[status(thm),theory(equality)],[278,445]),
[iquote('0:Res:278.0,445.0')] ).
cnf(733,plain,
( ~ coll(skc11,skc11,u)
| coll(u,skc8,skc11) ),
inference(res,[status(thm),theory(equality)],[729,25]),
[iquote('0:Res:729.0,25.0')] ).
cnf(812,plain,
( ~ perp(u,v,skc13,skc12)
| para(u,v,skc11,skc13) ),
inference(res,[status(thm),theory(equality)],[197,43]),
[iquote('0:Res:197.0,43.0')] ).
cnf(1292,plain,
( ~ cong(u,u,u,u)
| coll(u,u,u)
| cyclic(u,u,u,u) ),
inference(res,[status(thm),theory(equality)],[36,61]),
[iquote('0:Res:36.1,61.0')] ).
cnf(1293,plain,
( ~ para(u,v,u,v)
| coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[33,61]),
[iquote('0:Res:33.1,61.0')] ).
cnf(1371,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[33,56]),
[iquote('0:Res:33.1,56.0')] ).
cnf(1392,plain,
( ~ cyclic(u,v,w,x)
| eqangle(x,u,x,v,w,u,w,v) ),
inference(res,[status(thm),theory(equality)],[34,55]),
[iquote('0:Res:34.1,55.0')] ).
cnf(1406,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[33,54]),
[iquote('0:Res:33.1,54.0')] ).
cnf(1721,plain,
( ~ cong(u,u,u,u)
| ~ coll(u,u,u)
| cyclic(u,u,u,u) ),
inference(res,[status(thm),theory(equality)],[36,78]),
[iquote('0:Res:36.1,78.1')] ).
cnf(1722,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[33,78]),
[iquote('0:Res:33.1,78.1')] ).
cnf(1725,plain,
( ~ cong(u,u,u,u)
| cyclic(u,u,u,u) ),
inference(mrr,[status(thm)],[1721,1292]),
[iquote('0:MRR:1721.1,1292.1')] ).
cnf(1764,plain,
( ~ cong(u,v,u,v)
| para(u,v,v,v)
| perp(u,v,v,v) ),
inference(res,[status(thm),theory(equality)],[36,74]),
[iquote('0:Res:36.1,74.0')] ).
cnf(2046,plain,
( ~ cyclic(u,v,w,x)
| ~ perp(x,u,x,v)
| perp(w,u,w,v) ),
inference(res,[status(thm),theory(equality)],[34,85]),
[iquote('0:Res:34.1,85.1')] ).
cnf(2676,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)],[89,120]),
[iquote('0:Res:89.2,120.3')] ).
cnf(2677,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)],[34,120]),
[iquote('0:Res:34.1,120.3')] ).
cnf(2679,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)],[2677]),
[iquote('0:Obv:2677.0')] ).
cnf(2680,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2679]),
[iquote('0:Con:2679.2')] ).
cnf(3200,plain,
( ~ perp(skc13,u,skc13,skc12)
| coll(skc13,u,skc11) ),
inference(res,[status(thm),theory(equality)],[204,12]),
[iquote('0:Res:204.1,12.0')] ).
cnf(3203,plain,
( ~ perp(u,v,skc13,skc12)
| para(skc13,skc11,u,v) ),
inference(res,[status(thm),theory(equality)],[204,15]),
[iquote('0:Res:204.1,15.0')] ).
cnf(3500,plain,
( ~ cong(u,u,u,u)
| ~ cong(u,u,u,u)
| ~ cong(u,u,u,u)
| perp(u,u,u,u) ),
inference(res,[status(thm),theory(equality)],[1725,94]),
[iquote('0:Res:1725.1,94.0')] ).
cnf(3506,plain,
( ~ cong(u,u,u,u)
| perp(u,u,u,u) ),
inference(obv,[status(thm),theory(equality)],[3500]),
[iquote('0:Obv:3500.1')] ).
cnf(4038,plain,
( ~ perp(skc14,skc13,skc13,skc13)
| ~ coll(skc13,skc8,skc12)
| cyclic(skc13,skc12,skc13,skc8) ),
inference(res,[status(thm),theory(equality)],[210,78]),
[iquote('0:Res:210.1,78.1')] ).
cnf(4040,plain,
( ~ perp(skc14,skc13,skc13,u)
| ~ perp(skc8,skc13,skc8,skc12)
| perp(skc13,u,skc13,skc12) ),
inference(res,[status(thm),theory(equality)],[210,85]),
[iquote('0:Res:210.1,85.1')] ).
cnf(4498,plain,
( ~ perp(skc13,skc11,skc13,skc12)
| coll(skc13,skc13,skc11)
| cyclic(skc11,u,skc13,skc13) ),
inference(res,[status(thm),theory(equality)],[204,1293]),
[iquote('0:Res:204.1,1293.0')] ).
cnf(4502,plain,
( coll(skc13,skc13,skc11)
| cyclic(skc11,u,skc13,skc13) ),
inference(mrr,[status(thm)],[4498,198]),
[iquote('0:MRR:4498.0,198.0')] ).
cnf(4541,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1371,61]),
[iquote('0:Res:1371.1,61.0')] ).
cnf(4552,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1371,78]),
[iquote('0:Res:1371.1,78.1')] ).
cnf(4567,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4552,4541]),
[iquote('0:MRR:4552.1,4541.1')] ).
cnf(4681,plain,
( coll(skc13,skc13,skc11)
| para(skc13,skc11,skc13,skc11) ),
inference(res,[status(thm),theory(equality)],[4502,596]),
[iquote('0:Res:4502.1,596.0')] ).
cnf(4683,plain,
coll(skc13,skc13,skc11),
inference(spt,[spt(split,[position(s1)])],[4681]),
[iquote('1:Spt:4681.0')] ).
cnf(4685,plain,
( ~ coll(skc13,skc13,u)
| coll(u,skc11,skc13) ),
inference(res,[status(thm),theory(equality)],[4683,25]),
[iquote('1:Res:4683.0,25.0')] ).
cnf(4686,plain,
coll(skc13,skc11,skc13),
inference(res,[status(thm),theory(equality)],[4683,8]),
[iquote('1:Res:4683.0,8.0')] ).
cnf(4691,plain,
( ~ coll(skc13,skc11,u)
| coll(u,skc13,skc13) ),
inference(res,[status(thm),theory(equality)],[4686,25]),
[iquote('1:Res:4686.0,25.0')] ).
cnf(4763,plain,
( ~ cyclic(skc13,skc12,skc8,skc13)
| perp(skc14,skc13,skc13,skc13) ),
inference(res,[status(thm),theory(equality)],[1392,211]),
[iquote('0:Res:1392.1,211.0')] ).
cnf(4832,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1406,32]),
[iquote('0:Res:1406.1,32.0')] ).
cnf(5144,plain,
( ~ perp(skc13,skc11,skc13,skc12)
| ~ coll(skc13,skc13,u)
| cyclic(skc12,u,skc13,skc13) ),
inference(res,[status(thm),theory(equality)],[196,1722]),
[iquote('0:Res:196.1,1722.0')] ).
cnf(5148,plain,
( ~ coll(skc13,skc13,u)
| cyclic(skc12,u,skc13,skc13) ),
inference(mrr,[status(thm)],[5144,198]),
[iquote('0:MRR:5144.0,198.0')] ).
cnf(5194,plain,
coll(skc11,skc11,skc13),
inference(res,[status(thm),theory(equality)],[4683,4685]),
[iquote('1:Res:4683.0,4685.0')] ).
cnf(5201,plain,
coll(skc13,skc8,skc11),
inference(res,[status(thm),theory(equality)],[5194,733]),
[iquote('1:Res:5194.0,733.0')] ).
cnf(5212,plain,
coll(skc13,skc11,skc8),
inference(res,[status(thm),theory(equality)],[5201,8]),
[iquote('1:Res:5201.0,8.0')] ).
cnf(5428,plain,
coll(skc8,skc13,skc13),
inference(res,[status(thm),theory(equality)],[5212,4691]),
[iquote('1:Res:5212.0,4691.0')] ).
cnf(5445,plain,
coll(skc13,skc8,skc13),
inference(res,[status(thm),theory(equality)],[5428,9]),
[iquote('1:Res:5428.0,9.0')] ).
cnf(5450,plain,
coll(skc13,skc13,skc8),
inference(res,[status(thm),theory(equality)],[5445,8]),
[iquote('1:Res:5445.0,8.0')] ).
cnf(5470,plain,
coll(skc8,skc12,skc13),
inference(res,[status(thm),theory(equality)],[5450,579]),
[iquote('1:Res:5450.0,579.0')] ).
cnf(5479,plain,
coll(skc8,skc13,skc12),
inference(res,[status(thm),theory(equality)],[5470,8]),
[iquote('1:Res:5470.0,8.0')] ).
cnf(5532,plain,
coll(skc13,skc8,skc12),
inference(res,[status(thm),theory(equality)],[5479,9]),
[iquote('1:Res:5479.0,9.0')] ).
cnf(5533,plain,
( ~ perp(skc14,skc13,skc13,skc13)
| cyclic(skc13,skc12,skc13,skc8) ),
inference(mrr,[status(thm)],[4038,5532]),
[iquote('1:MRR:4038.1,5532.0')] ).
cnf(10208,plain,
( ~ coll(skc13,skc13,u)
| cyclic(u,skc12,skc13,skc13) ),
inference(res,[status(thm),theory(equality)],[5148,20]),
[iquote('0:Res:5148.1,20.0')] ).
cnf(10626,plain,
( ~ perp(skc14,skc13,skc13,skc13)
| cyclic(skc12,skc13,skc13,skc8) ),
inference(res,[status(thm),theory(equality)],[5533,20]),
[iquote('1:Res:5533.1,20.0')] ).
cnf(11503,plain,
( ~ perp(skc13,u,skc13,skc12)
| coll(skc13,skc11,u) ),
inference(res,[status(thm),theory(equality)],[3203,12]),
[iquote('0:Res:3203.1,12.0')] ).
cnf(11770,plain,
( ~ perp(skc13,skc11,skc13,skc12)
| cyclic(skc11,skc11,skc13,u) ),
inference(res,[status(thm),theory(equality)],[204,4567]),
[iquote('0:Res:204.1,4567.0')] ).
cnf(11776,plain,
( ~ perp(skc11,skc13,skc13,skc12)
| cyclic(skc13,skc13,skc11,u) ),
inference(res,[status(thm),theory(equality)],[812,4567]),
[iquote('0:Res:812.1,4567.0')] ).
cnf(11786,plain,
cyclic(skc11,skc11,skc13,u),
inference(mrr,[status(thm)],[11770,198]),
[iquote('0:MRR:11770.0,198.0')] ).
cnf(11798,plain,
cyclic(skc13,skc13,skc11,u),
inference(mrr,[status(thm)],[11776,370]),
[iquote('0:MRR:11776.0,370.0')] ).
cnf(11806,plain,
( ~ cyclic(skc11,skc11,skc13,u)
| cyclic(skc11,skc13,u,v) ),
inference(res,[status(thm),theory(equality)],[11786,46]),
[iquote('0:Res:11786.0,46.0')] ).
cnf(11810,plain,
para(skc13,skc11,skc13,skc11),
inference(res,[status(thm),theory(equality)],[11786,596]),
[iquote('0:Res:11786.0,596.0')] ).
cnf(11814,plain,
cyclic(skc11,skc13,u,v),
inference(mrr,[status(thm)],[11806,11786]),
[iquote('0:MRR:11806.0,11786.0')] ).
cnf(11837,plain,
para(skc13,skc11,skc11,skc13),
inference(res,[status(thm),theory(equality)],[11810,14]),
[iquote('0:Res:11810.0,14.0')] ).
cnf(11909,plain,
para(skc11,skc13,skc13,skc11),
inference(res,[status(thm),theory(equality)],[11837,15]),
[iquote('0:Res:11837.0,15.0')] ).
cnf(11999,plain,
para(skc11,skc13,skc11,skc13),
inference(res,[status(thm),theory(equality)],[11909,14]),
[iquote('0:Res:11909.0,14.0')] ).
cnf(12032,plain,
( ~ cyclic(skc11,skc13,skc11,skc13)
| ~ cyclic(skc13,skc13,skc11,skc13)
| ~ cyclic(skc13,skc13,skc11,skc13)
| ~ cyclic(skc13,skc13,skc11,skc11)
| cong(skc13,skc13,skc13,skc13) ),
inference(res,[status(thm),theory(equality)],[11999,2676]),
[iquote('0:Res:11999.0,2676.0')] ).
cnf(12060,plain,
( ~ cyclic(skc11,skc13,skc11,skc13)
| ~ cyclic(skc13,skc13,skc11,skc13)
| ~ cyclic(skc13,skc13,skc11,skc11)
| cong(skc13,skc13,skc13,skc13) ),
inference(obv,[status(thm),theory(equality)],[12032]),
[iquote('0:Obv:12032.1')] ).
cnf(12061,plain,
cong(skc13,skc13,skc13,skc13),
inference(mrr,[status(thm)],[12060,11814,11798]),
[iquote('0:MRR:12060.0,12060.1,12060.2,11814.0,11798.0,11798.0')] ).
cnf(12080,plain,
perp(skc13,skc13,skc13,skc13),
inference(res,[status(thm),theory(equality)],[12061,3506]),
[iquote('0:Res:12061.0,3506.0')] ).
cnf(12112,plain,
( ~ para(u,v,skc13,skc13)
| perp(u,v,skc13,skc13) ),
inference(res,[status(thm),theory(equality)],[12080,44]),
[iquote('0:Res:12080.0,44.0')] ).
cnf(12150,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[11810,4832]),
[iquote('0:Res:11810.0,4832.0')] ).
cnf(12155,plain,
( coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(mrr,[status(thm)],[1293,12150]),
[iquote('0:MRR:1293.0,12150.0')] ).
cnf(12156,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[1722,12150]),
[iquote('0:MRR:1722.0,12150.0')] ).
cnf(12158,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4567,12150]),
[iquote('0:MRR:4567.0,12150.0')] ).
cnf(12260,plain,
cyclic(u,skc12,skc13,skc13),
inference(mrr,[status(thm)],[10208,12155]),
[iquote('0:MRR:10208.0,12155.0')] ).
cnf(12321,plain,
cyclic(u,skc13,skc12,skc13),
inference(res,[status(thm),theory(equality)],[12260,19]),
[iquote('0:Res:12260.0,19.0')] ).
cnf(12337,plain,
( coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(res,[status(thm),theory(equality)],[12155,20]),
[iquote('0:Res:12155.1,20.0')] ).
cnf(12353,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[12337,12156]),
[iquote('0:MRR:12337.0,12156.0')] ).
cnf(12615,plain,
cyclic(u,skc13,skc13,skc12),
inference(res,[status(thm),theory(equality)],[12321,18]),
[iquote('0:Res:12321.0,18.0')] ).
cnf(12617,plain,
cyclic(skc13,u,skc12,skc13),
inference(res,[status(thm),theory(equality)],[12321,20]),
[iquote('0:Res:12321.0,20.0')] ).
cnf(13307,plain,
( ~ cyclic(skc12,skc13,skc13,skc13)
| cong(skc12,skc13,skc12,skc13) ),
inference(res,[status(thm),theory(equality)],[12615,2680]),
[iquote('0:Res:12615.0,2680.0')] ).
cnf(13315,plain,
cong(skc12,skc13,skc12,skc13),
inference(mrr,[status(thm)],[13307,12353]),
[iquote('0:MRR:13307.0,12353.0')] ).
cnf(13365,plain,
( para(skc12,skc13,skc13,skc13)
| perp(skc12,skc13,skc13,skc13) ),
inference(res,[status(thm),theory(equality)],[13315,1764]),
[iquote('0:Res:13315.0,1764.0')] ).
cnf(13368,plain,
perp(skc12,skc13,skc13,skc13),
inference(mrr,[status(thm)],[13365,12112]),
[iquote('0:MRR:13365.0,12112.0')] ).
cnf(13408,plain,
perp(skc13,skc13,skc12,skc13),
inference(res,[status(thm),theory(equality)],[13368,17]),
[iquote('0:Res:13368.0,17.0')] ).
cnf(13441,plain,
perp(skc13,skc13,skc13,skc12),
inference(res,[status(thm),theory(equality)],[13408,16]),
[iquote('0:Res:13408.0,16.0')] ).
cnf(13456,plain,
perp(skc13,skc12,skc13,skc13),
inference(res,[status(thm),theory(equality)],[13441,17]),
[iquote('0:Res:13441.0,17.0')] ).
cnf(13470,plain,
coll(skc13,skc13,skc11),
inference(res,[status(thm),theory(equality)],[13441,3200]),
[iquote('0:Res:13441.0,3200.0')] ).
cnf(13489,plain,
cyclic(skc13,skc12,u,skc13),
inference(res,[status(thm),theory(equality)],[12617,19]),
[iquote('0:Res:12617.0,19.0')] ).
cnf(13492,plain,
perp(skc14,skc13,skc13,skc13),
inference(mrr,[status(thm)],[4763,13489]),
[iquote('0:MRR:4763.0,13489.0')] ).
cnf(13498,plain,
cyclic(skc12,skc13,skc13,skc8),
inference(mrr,[status(thm)],[10626,13492]),
[iquote('1:MRR:10626.0,13492.0')] ).
cnf(13567,plain,
cyclic(skc12,skc13,skc8,skc13),
inference(res,[status(thm),theory(equality)],[13498,18]),
[iquote('1:Res:13498.0,18.0')] ).
cnf(13624,plain,
( ~ perp(skc13,skc12,skc13,skc13)
| perp(skc8,skc12,skc8,skc13) ),
inference(res,[status(thm),theory(equality)],[13567,2046]),
[iquote('1:Res:13567.0,2046.0')] ).
cnf(13631,plain,
perp(skc8,skc12,skc8,skc13),
inference(mrr,[status(thm)],[13624,13456]),
[iquote('1:MRR:13624.0,13456.0')] ).
cnf(13662,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[12158,94]),
[iquote('0:Res:12158.0,94.0')] ).
cnf(13663,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[12158,46]),
[iquote('0:Res:12158.0,46.0')] ).
cnf(13734,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[13663,12158]),
[iquote('0:MRR:13663.0,12158.0')] ).
cnf(13755,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2680,13734]),
[iquote('0:MRR:2680.1,2680.0,13734.0')] ).
cnf(14104,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[13662,13755]),
[iquote('0:MRR:13662.0,13662.1,13755.0,13755.0')] ).
cnf(14117,plain,
( ~ midp(u,v,w)
| cong(v,u,x,u) ),
inference(mrr,[status(thm)],[39,14104]),
[iquote('0:MRR:39.1,14104.0')] ).
cnf(14121,plain,
( ~ coll(u,v,w)
| perp(skf36(w,v,x),x,v,w) ),
inference(mrr,[status(thm)],[66,14104]),
[iquote('0:MRR:66.1,14104.0')] ).
cnf(14145,plain,
( ~ perp(skc8,skc13,skc8,skc12)
| perp(skc13,u,skc13,skc12) ),
inference(mrr,[status(thm)],[4040,14104]),
[iquote('0:MRR:4040.0,14104.0')] ).
cnf(14296,plain,
perp(skc8,skc13,skc8,skc12),
inference(res,[status(thm),theory(equality)],[13631,17]),
[iquote('1:Res:13631.0,17.0')] ).
cnf(14300,plain,
perp(skc13,u,skc13,skc12),
inference(mrr,[status(thm)],[14145,14296]),
[iquote('1:MRR:14145.0,14296.0')] ).
cnf(14304,plain,
coll(skc13,skc11,u),
inference(mrr,[status(thm)],[11503,14300]),
[iquote('1:MRR:11503.0,14300.0')] ).
cnf(14438,plain,
( ~ coll(skc13,skc11,u)
| coll(u,v,skc13) ),
inference(res,[status(thm),theory(equality)],[14304,25]),
[iquote('1:Res:14304.0,25.0')] ).
cnf(14462,plain,
coll(u,v,skc13),
inference(mrr,[status(thm)],[14438,14304]),
[iquote('1:MRR:14438.0,14304.0')] ).
cnf(14535,plain,
coll(u,skc13,v),
inference(res,[status(thm),theory(equality)],[14462,8]),
[iquote('1:Res:14462.0,8.0')] ).
cnf(15251,plain,
( ~ coll(u,skc13,v)
| coll(v,w,u) ),
inference(res,[status(thm),theory(equality)],[14535,25]),
[iquote('1:Res:14535.0,25.0')] ).
cnf(15255,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[15251,14535]),
[iquote('1:MRR:15251.0,14535.0')] ).
cnf(15256,plain,
( ~ cong(u,v,u,w)
| midp(u,v,w) ),
inference(mrr,[status(thm)],[38,15255]),
[iquote('1:MRR:38.0,15255.0')] ).
cnf(15266,plain,
perp(skf36(u,v,w),w,v,u),
inference(mrr,[status(thm)],[14121,15255]),
[iquote('1:MRR:14121.0,15255.0')] ).
cnf(15400,plain,
~ perp(skc9,skc12,skf36(skc10,skc11,u),u),
inference(res,[status(thm),theory(equality)],[15266,233]),
[iquote('1:Res:15266.0,233.0')] ).
cnf(15805,plain,
midp(u,v,v),
inference(res,[status(thm),theory(equality)],[13755,15256]),
[iquote('1:Res:13755.0,15256.0')] ).
cnf(15854,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[15805,14117]),
[iquote('1:Res:15805.0,14117.0')] ).
cnf(15861,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[48,15854]),
[iquote('1:MRR:48.1,48.0,15854.0')] ).
cnf(15863,plain,
$false,
inference(unc,[status(thm)],[15861,15400]),
[iquote('1:UnC:15861.0,15400.0')] ).
cnf(15864,plain,
~ coll(skc13,skc13,skc11),
inference(spt,[spt(split,[position(sa)])],[15863,4683]),
[iquote('1:Spt:15863.0,4681.0,4683.0')] ).
cnf(15865,plain,
para(skc13,skc11,skc13,skc11),
inference(spt,[spt(split,[position(s2)])],[4681]),
[iquote('1:Spt:15863.0,4681.1')] ).
cnf(15866,plain,
$false,
inference(mrr,[status(thm)],[15864,13470]),
[iquote('1:MRR:15864.0,13470.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GEO582+1 : TPTP v8.1.0. Released v7.5.0.
% 0.02/0.09 % Command : run_spass %d %s
% 0.08/0.29 % Computer : n008.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 600
% 0.08/0.29 % DateTime : Sat Jun 18 03:04:07 EDT 2022
% 0.08/0.29 % CPUTime :
% 15.00/15.23
% 15.00/15.23 SPASS V 3.9
% 15.00/15.23 SPASS beiseite: Proof found.
% 15.00/15.23 % SZS status Theorem
% 15.00/15.23 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.00/15.23 SPASS derived 15223 clauses, backtracked 2503 clauses, performed 4 splits and kept 11973 clauses.
% 15.00/15.23 SPASS allocated 97952 KBytes.
% 15.00/15.23 SPASS spent 0:0:14.92 on the problem.
% 15.00/15.23 0:00:00.03 for the input.
% 15.00/15.23 0:00:00.24 for the FLOTTER CNF translation.
% 15.00/15.23 0:00:00.54 for inferences.
% 15.00/15.23 0:00:00.06 for the backtracking.
% 15.00/15.23 0:0:13.63 for the reduction.
% 15.00/15.23
% 15.00/15.23
% 15.00/15.23 Here is a proof with depth 14, length 175 :
% 15.00/15.23 % SZS output start Refutation
% See solution above
% 15.24/15.45 Formulae used in the proof : exemplo6GDDFULL416044 ruleD1 ruleD2 ruleD66 ruleD4 ruleD5 ruleD7 ruleD8 ruleD14 ruleD15 ruleD16 ruleD3 ruleD39 ruleD40 ruleD41 ruleD46 ruleD67 ruleD52 ruleD9 ruleD10 ruleD17 ruleD56 ruleD19 ruleD20 ruleD21 ruleD42a ruleX15 ruleD72 ruleD42b ruleD74 ruleD54 ruleD49 ruleD48 ruleD57 ruleD43
% 15.24/15.45
%------------------------------------------------------------------------------