TSTP Solution File: GEO656+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO656+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 06:25:45 EDT 2022
% Result : Theorem 12.83s 13.01s
% Output : Refutation 13.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 33
% Syntax : Number of clauses : 197 ( 113 unt; 2 nHn; 197 RR)
% Number of literals : 314 ( 0 equ; 121 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 18 ( 18 usr; 18 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
midp(skc8,skc6,skc10),
file('GEO656+1.p',unknown),
[] ).
cnf(2,axiom,
~ para(skc11,skc9,skc10,skc6),
file('GEO656+1.p',unknown),
[] ).
cnf(3,axiom,
eqangle(skc11,skc8,skc8,skc10,skc11,skc8,skc8,skc7),
file('GEO656+1.p',unknown),
[] ).
cnf(4,axiom,
eqangle(skc9,skc8,skc8,skc6,skc9,skc8,skc8,skc7),
file('GEO656+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO656+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO656+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ midp(u,v,w)
| coll(u,v,w) ),
file('GEO656+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO656+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO656+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO656+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,v,x,w) ),
file('GEO656+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,w,v,x) ),
file('GEO656+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO656+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ cong(u,v,w,x)
| cong(u,v,x,w) ),
file('GEO656+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ cong(u,v,w,x)
| cong(w,x,u,v) ),
file('GEO656+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO656+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO656+1.p',unknown),
[] ).
cnf(30,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO656+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO656+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ midp(u,v,w)
| ~ midp(x,v,y)
| para(x,u,y,w) ),
file('GEO656+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ coll(u,v,w)
| ~ cong(u,v,u,w)
| midp(u,v,w) ),
file('GEO656+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO656+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(v,u,w,x,y,z,x1,x2) ),
file('GEO656+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO656+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(y,z,x1,x2,u,v,w,x) ),
file('GEO656+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO656+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO656+1.p',unknown),
[] ).
cnf(74,axiom,
( ~ coll(u,v,w)
| ~ midp(x,v,y)
| ~ para(x,u,y,w)
| midp(u,v,w) ),
file('GEO656+1.p',unknown),
[] ).
cnf(75,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO656+1.p',unknown),
[] ).
cnf(83,axiom,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,w,x)
| para(y,z,x1,x2) ),
file('GEO656+1.p',unknown),
[] ).
cnf(84,axiom,
( ~ midp(u,v,w)
| ~ para(v,x,w,y)
| ~ para(v,y,w,x)
| midp(u,y,x) ),
file('GEO656+1.p',unknown),
[] ).
cnf(111,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('GEO656+1.p',unknown),
[] ).
cnf(117,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('GEO656+1.p',unknown),
[] ).
cnf(134,plain,
coll(skc8,skc6,skc10),
inference(res,[status(thm),theory(equality)],[1,8]),
[iquote('0:Res:1.0,8.0')] ).
cnf(152,plain,
( ~ midp(skc9,u,skc6)
| ~ midp(skc11,u,skc10) ),
inference(res,[status(thm),theory(equality)],[32,2]),
[iquote('0:Res:32.2,2.0')] ).
cnf(154,plain,
( ~ eqangle(skc9,skc8,skc8,skc7,u,v,w,x)
| eqangle(skc9,skc8,skc8,skc6,u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[4,111]),
[iquote('0:Res:4.0,111.0')] ).
cnf(157,plain,
eqangle(skc8,skc9,skc8,skc6,skc9,skc8,skc8,skc7),
inference(res,[status(thm),theory(equality)],[4,50]),
[iquote('0:Res:4.0,50.0')] ).
cnf(158,plain,
eqangle(skc8,skc6,skc9,skc8,skc8,skc7,skc9,skc8),
inference(res,[status(thm),theory(equality)],[4,51]),
[iquote('0:Res:4.0,51.0')] ).
cnf(160,plain,
eqangle(skc9,skc8,skc9,skc8,skc8,skc6,skc8,skc7),
inference(res,[status(thm),theory(equality)],[4,53]),
[iquote('0:Res:4.0,53.0')] ).
cnf(166,plain,
eqangle(skc8,skc11,skc8,skc10,skc11,skc8,skc8,skc7),
inference(res,[status(thm),theory(equality)],[3,50]),
[iquote('0:Res:3.0,50.0')] ).
cnf(167,plain,
eqangle(skc8,skc10,skc11,skc8,skc8,skc7,skc11,skc8),
inference(res,[status(thm),theory(equality)],[3,51]),
[iquote('0:Res:3.0,51.0')] ).
cnf(168,plain,
eqangle(skc11,skc8,skc8,skc7,skc11,skc8,skc8,skc10),
inference(res,[status(thm),theory(equality)],[3,52]),
[iquote('0:Res:3.0,52.0')] ).
cnf(169,plain,
eqangle(skc11,skc8,skc11,skc8,skc8,skc10,skc8,skc7),
inference(res,[status(thm),theory(equality)],[3,53]),
[iquote('0:Res:3.0,53.0')] ).
cnf(170,plain,
( ~ eqangle(u,v,w,x,skc11,skc8,skc8,skc10)
| eqangle(u,v,w,x,skc11,skc8,skc8,skc7) ),
inference(res,[status(thm),theory(equality)],[3,111]),
[iquote('0:Res:3.0,111.1')] ).
cnf(187,plain,
coll(skc6,skc8,skc10),
inference(res,[status(thm),theory(equality)],[134,6]),
[iquote('0:Res:134.0,6.0')] ).
cnf(188,plain,
( ~ midp(u,v,w)
| coll(v,u,w) ),
inference(res,[status(thm),theory(equality)],[8,6]),
[iquote('0:Res:8.1,6.0')] ).
cnf(190,plain,
coll(skc8,skc10,skc6),
inference(res,[status(thm),theory(equality)],[134,5]),
[iquote('0:Res:134.0,5.0')] ).
cnf(191,plain,
coll(skc6,skc10,skc8),
inference(res,[status(thm),theory(equality)],[187,5]),
[iquote('0:Res:187.0,5.0')] ).
cnf(201,plain,
( ~ midp(u,v,w)
| coll(v,w,u) ),
inference(res,[status(thm),theory(equality)],[188,5]),
[iquote('0:Res:188.1,5.0')] ).
cnf(206,plain,
( ~ midp(u,v,w)
| coll(w,v,u) ),
inference(res,[status(thm),theory(equality)],[201,6]),
[iquote('0:Res:201.1,6.0')] ).
cnf(299,plain,
( ~ coll(skc8,skc6,u)
| coll(u,skc10,skc8) ),
inference(res,[status(thm),theory(equality)],[134,22]),
[iquote('0:Res:134.0,22.0')] ).
cnf(307,plain,
( ~ coll(skc8,skc10,u)
| coll(u,skc6,skc8) ),
inference(res,[status(thm),theory(equality)],[190,22]),
[iquote('0:Res:190.0,22.0')] ).
cnf(309,plain,
( ~ coll(skc6,skc10,u)
| coll(u,skc8,skc6) ),
inference(res,[status(thm),theory(equality)],[191,22]),
[iquote('0:Res:191.0,22.0')] ).
cnf(417,plain,
coll(skc8,skc8,skc6),
inference(res,[status(thm),theory(equality)],[191,309]),
[iquote('0:Res:191.0,309.0')] ).
cnf(423,plain,
( ~ coll(skc8,skc8,u)
| coll(u,skc6,skc8) ),
inference(res,[status(thm),theory(equality)],[417,22]),
[iquote('0:Res:417.0,22.0')] ).
cnf(424,plain,
coll(skc8,skc6,skc8),
inference(res,[status(thm),theory(equality)],[417,5]),
[iquote('0:Res:417.0,5.0')] ).
cnf(429,plain,
coll(skc8,skc10,skc8),
inference(res,[status(thm),theory(equality)],[424,299]),
[iquote('0:Res:424.0,299.0')] ).
cnf(435,plain,
coll(skc8,skc8,skc10),
inference(res,[status(thm),theory(equality)],[429,5]),
[iquote('0:Res:429.0,5.0')] ).
cnf(438,plain,
( ~ coll(skc8,skc8,u)
| coll(u,skc10,skc8) ),
inference(res,[status(thm),theory(equality)],[435,22]),
[iquote('0:Res:435.0,22.0')] ).
cnf(677,plain,
para(skc8,skc10,skc8,skc7),
inference(res,[status(thm),theory(equality)],[167,29]),
[iquote('0:Res:167.0,29.0')] ).
cnf(678,plain,
para(skc8,skc6,skc8,skc7),
inference(res,[status(thm),theory(equality)],[158,29]),
[iquote('0:Res:158.0,29.0')] ).
cnf(682,plain,
coll(skc8,skc10,skc7),
inference(res,[status(thm),theory(equality)],[677,9]),
[iquote('0:Res:677.0,9.0')] ).
cnf(684,plain,
para(skc8,skc7,skc8,skc10),
inference(res,[status(thm),theory(equality)],[677,12]),
[iquote('0:Res:677.0,12.0')] ).
cnf(685,plain,
( ~ coll(skc8,skc10,u)
| coll(u,skc7,skc8) ),
inference(res,[status(thm),theory(equality)],[682,22]),
[iquote('0:Res:682.0,22.0')] ).
cnf(689,plain,
coll(skc7,skc6,skc8),
inference(res,[status(thm),theory(equality)],[682,307]),
[iquote('0:Res:682.0,307.0')] ).
cnf(703,plain,
coll(skc7,skc8,skc6),
inference(res,[status(thm),theory(equality)],[689,5]),
[iquote('0:Res:689.0,5.0')] ).
cnf(717,plain,
( ~ coll(skc7,skc8,u)
| coll(u,skc6,skc7) ),
inference(res,[status(thm),theory(equality)],[703,22]),
[iquote('0:Res:703.0,22.0')] ).
cnf(783,plain,
para(skc8,skc6,skc7,skc8),
inference(res,[status(thm),theory(equality)],[678,11]),
[iquote('0:Res:678.0,11.0')] ).
cnf(784,plain,
para(skc8,skc7,skc8,skc6),
inference(res,[status(thm),theory(equality)],[678,12]),
[iquote('0:Res:678.0,12.0')] ).
cnf(791,plain,
para(skc7,skc8,skc8,skc6),
inference(res,[status(thm),theory(equality)],[783,12]),
[iquote('0:Res:783.0,12.0')] ).
cnf(815,plain,
para(skc7,skc8,skc6,skc8),
inference(res,[status(thm),theory(equality)],[791,11]),
[iquote('0:Res:791.0,11.0')] ).
cnf(825,plain,
para(skc6,skc8,skc7,skc8),
inference(res,[status(thm),theory(equality)],[815,12]),
[iquote('0:Res:815.0,12.0')] ).
cnf(1582,plain,
eqangle(skc8,skc11,skc11,skc8,skc8,skc10,skc8,skc7),
inference(res,[status(thm),theory(equality)],[166,53]),
[iquote('0:Res:166.0,53.0')] ).
cnf(1583,plain,
eqangle(skc8,skc9,skc9,skc8,skc8,skc6,skc8,skc7),
inference(res,[status(thm),theory(equality)],[157,53]),
[iquote('0:Res:157.0,53.0')] ).
cnf(1586,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[30,53]),
[iquote('0:Res:30.1,53.0')] ).
cnf(1610,plain,
eqangle(skc8,skc7,skc11,skc8,skc8,skc10,skc11,skc8),
inference(res,[status(thm),theory(equality)],[167,52]),
[iquote('0:Res:167.0,52.0')] ).
cnf(1613,plain,
eqangle(skc9,skc8,skc8,skc7,skc8,skc9,skc8,skc6),
inference(res,[status(thm),theory(equality)],[157,52]),
[iquote('0:Res:157.0,52.0')] ).
cnf(1646,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[30,51]),
[iquote('0:Res:30.1,51.0')] ).
cnf(1669,plain,
eqangle(skc6,skc8,skc9,skc8,skc8,skc7,skc9,skc8),
inference(res,[status(thm),theory(equality)],[158,50]),
[iquote('0:Res:158.0,50.0')] ).
cnf(1679,plain,
eqangle(skc11,skc8,skc8,skc11,skc8,skc7,skc8,skc10),
inference(res,[status(thm),theory(equality)],[1582,51]),
[iquote('0:Res:1582.0,51.0')] ).
cnf(1683,plain,
eqangle(skc9,skc8,skc8,skc9,skc8,skc7,skc8,skc6),
inference(res,[status(thm),theory(equality)],[1583,51]),
[iquote('0:Res:1583.0,51.0')] ).
cnf(1744,plain,
eqangle(skc7,skc8,skc11,skc8,skc8,skc10,skc11,skc8),
inference(res,[status(thm),theory(equality)],[1610,50]),
[iquote('0:Res:1610.0,50.0')] ).
cnf(1757,plain,
eqangle(skc8,skc9,skc8,skc7,skc8,skc9,skc8,skc6),
inference(res,[status(thm),theory(equality)],[1613,50]),
[iquote('0:Res:1613.0,50.0')] ).
cnf(1846,plain,
eqangle(skc9,skc8,skc6,skc8,skc9,skc8,skc8,skc7),
inference(res,[status(thm),theory(equality)],[1669,51]),
[iquote('0:Res:1669.0,51.0')] ).
cnf(1923,plain,
eqangle(skc11,skc8,skc7,skc8,skc11,skc8,skc8,skc10),
inference(res,[status(thm),theory(equality)],[1744,51]),
[iquote('0:Res:1744.0,51.0')] ).
cnf(1958,plain,
( ~ midp(u,skc6,skc7)
| ~ para(skc6,skc8,skc7,skc8)
| midp(u,skc8,skc8) ),
inference(res,[status(thm),theory(equality)],[825,84]),
[iquote('0:Res:825.0,84.1')] ).
cnf(1963,plain,
( ~ midp(u,skc8,skc8)
| ~ para(skc8,skc7,skc8,skc10)
| midp(u,skc7,skc10) ),
inference(res,[status(thm),theory(equality)],[677,84]),
[iquote('0:Res:677.0,84.1')] ).
cnf(1964,plain,
( ~ midp(u,skc8,skc8)
| ~ para(skc8,skc7,skc8,skc6)
| midp(u,skc7,skc6) ),
inference(res,[status(thm),theory(equality)],[678,84]),
[iquote('0:Res:678.0,84.1')] ).
cnf(1974,plain,
( ~ midp(u,skc6,skc7)
| midp(u,skc8,skc8) ),
inference(mrr,[status(thm)],[1958,825]),
[iquote('0:MRR:1958.1,825.0')] ).
cnf(1975,plain,
( ~ midp(u,skc8,skc8)
| midp(u,skc7,skc10) ),
inference(mrr,[status(thm)],[1963,684]),
[iquote('0:MRR:1963.1,684.0')] ).
cnf(1976,plain,
( ~ midp(u,skc8,skc8)
| midp(u,skc7,skc6) ),
inference(mrr,[status(thm)],[1964,784]),
[iquote('0:MRR:1964.1,784.0')] ).
cnf(1982,plain,
eqangle(skc8,skc9,skc8,skc6,skc8,skc9,skc8,skc7),
inference(res,[status(thm),theory(equality)],[1757,52]),
[iquote('0:Res:1757.0,52.0')] ).
cnf(2085,plain,
eqangle(skc9,skc8,skc8,skc7,skc9,skc8,skc6,skc8),
inference(res,[status(thm),theory(equality)],[1846,52]),
[iquote('0:Res:1846.0,52.0')] ).
cnf(2343,plain,
( ~ para(skc8,skc10,skc8,skc7)
| para(skc11,skc8,skc11,skc8) ),
inference(res,[status(thm),theory(equality)],[169,83]),
[iquote('0:Res:169.0,83.1')] ).
cnf(2344,plain,
( ~ para(skc8,skc6,skc8,skc7)
| para(skc9,skc8,skc9,skc8) ),
inference(res,[status(thm),theory(equality)],[160,83]),
[iquote('0:Res:160.0,83.1')] ).
cnf(2357,plain,
( ~ para(skc8,skc7,skc8,skc10)
| para(skc11,skc8,skc8,skc11) ),
inference(res,[status(thm),theory(equality)],[1679,83]),
[iquote('0:Res:1679.0,83.1')] ).
cnf(2358,plain,
( ~ para(skc8,skc7,skc8,skc6)
| para(skc9,skc8,skc8,skc9) ),
inference(res,[status(thm),theory(equality)],[1683,83]),
[iquote('0:Res:1683.0,83.1')] ).
cnf(2379,plain,
( ~ para(skc8,skc10,skc8,skc7)
| para(skc8,skc11,skc11,skc8) ),
inference(res,[status(thm),theory(equality)],[1582,83]),
[iquote('0:Res:1582.0,83.1')] ).
cnf(2380,plain,
( ~ para(skc8,skc6,skc8,skc7)
| para(skc8,skc9,skc9,skc8) ),
inference(res,[status(thm),theory(equality)],[1583,83]),
[iquote('0:Res:1583.0,83.1')] ).
cnf(2421,plain,
para(skc11,skc8,skc11,skc8),
inference(mrr,[status(thm)],[2343,677]),
[iquote('0:MRR:2343.0,677.0')] ).
cnf(2422,plain,
para(skc9,skc8,skc9,skc8),
inference(mrr,[status(thm)],[2344,678]),
[iquote('0:MRR:2344.0,678.0')] ).
cnf(2423,plain,
para(skc11,skc8,skc8,skc11),
inference(mrr,[status(thm)],[2357,684]),
[iquote('0:MRR:2357.0,684.0')] ).
cnf(2424,plain,
para(skc9,skc8,skc8,skc9),
inference(mrr,[status(thm)],[2358,784]),
[iquote('0:MRR:2358.0,784.0')] ).
cnf(2425,plain,
para(skc8,skc11,skc11,skc8),
inference(mrr,[status(thm)],[2379,677]),
[iquote('0:MRR:2379.0,677.0')] ).
cnf(2426,plain,
para(skc8,skc9,skc9,skc8),
inference(mrr,[status(thm)],[2380,678]),
[iquote('0:MRR:2380.0,678.0')] ).
cnf(2429,plain,
coll(skc11,skc8,skc8),
inference(res,[status(thm),theory(equality)],[2421,9]),
[iquote('0:Res:2421.0,9.0')] ).
cnf(2438,plain,
coll(skc8,skc11,skc8),
inference(res,[status(thm),theory(equality)],[2429,6]),
[iquote('0:Res:2429.0,6.0')] ).
cnf(2440,plain,
coll(skc8,skc8,skc11),
inference(res,[status(thm),theory(equality)],[2438,5]),
[iquote('0:Res:2438.0,5.0')] ).
cnf(2445,plain,
coll(skc11,skc10,skc8),
inference(res,[status(thm),theory(equality)],[2440,438]),
[iquote('0:Res:2440.0,438.0')] ).
cnf(2448,plain,
coll(skc11,skc8,skc10),
inference(res,[status(thm),theory(equality)],[2445,5]),
[iquote('0:Res:2445.0,5.0')] ).
cnf(2455,plain,
coll(skc8,skc11,skc10),
inference(res,[status(thm),theory(equality)],[2448,6]),
[iquote('0:Res:2448.0,6.0')] ).
cnf(2466,plain,
coll(skc8,skc10,skc11),
inference(res,[status(thm),theory(equality)],[2455,5]),
[iquote('0:Res:2455.0,5.0')] ).
cnf(2566,plain,
coll(skc9,skc8,skc8),
inference(res,[status(thm),theory(equality)],[2422,9]),
[iquote('0:Res:2422.0,9.0')] ).
cnf(2575,plain,
coll(skc8,skc9,skc8),
inference(res,[status(thm),theory(equality)],[2566,6]),
[iquote('0:Res:2566.0,6.0')] ).
cnf(2577,plain,
coll(skc8,skc8,skc9),
inference(res,[status(thm),theory(equality)],[2575,5]),
[iquote('0:Res:2575.0,5.0')] ).
cnf(2582,plain,
coll(skc9,skc10,skc8),
inference(res,[status(thm),theory(equality)],[2577,438]),
[iquote('0:Res:2577.0,438.0')] ).
cnf(2583,plain,
coll(skc9,skc6,skc8),
inference(res,[status(thm),theory(equality)],[2577,423]),
[iquote('0:Res:2577.0,423.0')] ).
cnf(2591,plain,
coll(skc9,skc8,skc10),
inference(res,[status(thm),theory(equality)],[2582,5]),
[iquote('0:Res:2582.0,5.0')] ).
cnf(2595,plain,
coll(skc6,skc9,skc8),
inference(res,[status(thm),theory(equality)],[2583,6]),
[iquote('0:Res:2583.0,6.0')] ).
cnf(2598,plain,
coll(skc8,skc9,skc10),
inference(res,[status(thm),theory(equality)],[2591,6]),
[iquote('0:Res:2591.0,6.0')] ).
cnf(2617,plain,
coll(skc8,skc10,skc9),
inference(res,[status(thm),theory(equality)],[2598,5]),
[iquote('0:Res:2598.0,5.0')] ).
cnf(2755,plain,
( ~ coll(skc8,u,skc11)
| ~ midp(skc11,u,skc8)
| midp(skc8,u,skc11) ),
inference(res,[status(thm),theory(equality)],[2423,74]),
[iquote('0:Res:2423.0,74.2')] ).
cnf(2758,plain,
( ~ midp(skc11,u,skc8)
| midp(skc8,u,skc11) ),
inference(mrr,[status(thm)],[2755,206]),
[iquote('0:MRR:2755.0,206.1')] ).
cnf(2762,plain,
( ~ coll(skc8,u,skc9)
| ~ midp(skc9,u,skc8)
| midp(skc8,u,skc9) ),
inference(res,[status(thm),theory(equality)],[2424,74]),
[iquote('0:Res:2424.0,74.2')] ).
cnf(2765,plain,
( ~ midp(skc9,u,skc8)
| midp(skc8,u,skc9) ),
inference(mrr,[status(thm)],[2762,206]),
[iquote('0:MRR:2762.0,206.1')] ).
cnf(2769,plain,
( ~ coll(skc11,u,skc8)
| ~ midp(skc8,u,skc11)
| midp(skc11,u,skc8) ),
inference(res,[status(thm),theory(equality)],[2425,74]),
[iquote('0:Res:2425.0,74.2')] ).
cnf(2772,plain,
( ~ midp(skc8,u,skc11)
| midp(skc11,u,skc8) ),
inference(mrr,[status(thm)],[2769,206]),
[iquote('0:MRR:2769.0,206.1')] ).
cnf(2776,plain,
( ~ coll(skc9,u,skc8)
| ~ midp(skc8,u,skc9)
| midp(skc9,u,skc8) ),
inference(res,[status(thm),theory(equality)],[2426,74]),
[iquote('0:Res:2426.0,74.2')] ).
cnf(2779,plain,
( ~ midp(skc8,u,skc9)
| midp(skc9,u,skc8) ),
inference(mrr,[status(thm)],[2776,206]),
[iquote('0:MRR:2776.0,206.1')] ).
cnf(3560,plain,
( ~ cyclic(skc9,skc6,skc8,skc9)
| ~ cyclic(skc9,skc6,skc8,skc7)
| ~ cyclic(skc9,skc6,skc8,skc8)
| cong(skc9,skc6,skc9,skc7) ),
inference(res,[status(thm),theory(equality)],[1982,117]),
[iquote('0:Res:1982.0,117.3')] ).
cnf(3563,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)],[31,117]),
[iquote('0:Res:31.1,117.3')] ).
cnf(3574,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)],[3563]),
[iquote('0:Obv:3563.0')] ).
cnf(3575,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3574]),
[iquote('0:Con:3574.2')] ).
cnf(4344,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1586,58]),
[iquote('0:Res:1586.1,58.0')] ).
cnf(4349,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1586,75]),
[iquote('0:Res:1586.1,75.1')] ).
cnf(4358,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4349,4344]),
[iquote('0:MRR:4349.1,4344.1')] ).
cnf(4660,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1646,29]),
[iquote('0:Res:1646.1,29.0')] ).
cnf(5625,plain,
coll(skc11,skc7,skc8),
inference(res,[status(thm),theory(equality)],[2466,685]),
[iquote('0:Res:2466.0,685.0')] ).
cnf(5626,plain,
coll(skc9,skc7,skc8),
inference(res,[status(thm),theory(equality)],[2617,685]),
[iquote('0:Res:2617.0,685.0')] ).
cnf(5644,plain,
coll(skc7,skc11,skc8),
inference(res,[status(thm),theory(equality)],[5625,6]),
[iquote('0:Res:5625.0,6.0')] ).
cnf(5647,plain,
coll(skc7,skc9,skc8),
inference(res,[status(thm),theory(equality)],[5626,6]),
[iquote('0:Res:5626.0,6.0')] ).
cnf(5662,plain,
coll(skc7,skc8,skc9),
inference(res,[status(thm),theory(equality)],[5647,5]),
[iquote('0:Res:5647.0,5.0')] ).
cnf(6088,plain,
coll(skc9,skc6,skc7),
inference(res,[status(thm),theory(equality)],[5662,717]),
[iquote('0:Res:5662.0,717.0')] ).
cnf(6603,plain,
eqangle(skc9,skc8,skc8,skc6,skc9,skc8,skc6,skc8),
inference(res,[status(thm),theory(equality)],[2085,154]),
[iquote('0:Res:2085.0,154.0')] ).
cnf(6633,plain,
eqangle(skc8,skc6,skc9,skc8,skc6,skc8,skc9,skc8),
inference(res,[status(thm),theory(equality)],[6603,51]),
[iquote('0:Res:6603.0,51.0')] ).
cnf(6645,plain,
eqangle(skc11,skc8,skc8,skc7,skc11,skc8,skc8,skc7),
inference(res,[status(thm),theory(equality)],[168,170]),
[iquote('0:Res:168.0,170.0')] ).
cnf(6646,plain,
eqangle(skc11,skc8,skc7,skc8,skc11,skc8,skc8,skc7),
inference(res,[status(thm),theory(equality)],[1923,170]),
[iquote('0:Res:1923.0,170.0')] ).
cnf(6839,plain,
eqangle(skc6,skc8,skc9,skc8,skc6,skc8,skc9,skc8),
inference(res,[status(thm),theory(equality)],[6633,50]),
[iquote('0:Res:6633.0,50.0')] ).
cnf(6897,plain,
eqangle(skc8,skc7,skc11,skc8,skc8,skc7,skc11,skc8),
inference(res,[status(thm),theory(equality)],[6645,51]),
[iquote('0:Res:6645.0,51.0')] ).
cnf(6904,plain,
eqangle(skc7,skc8,skc11,skc8,skc8,skc7,skc11,skc8),
inference(res,[status(thm),theory(equality)],[6646,51]),
[iquote('0:Res:6646.0,51.0')] ).
cnf(7032,plain,
eqangle(skc6,skc8,skc6,skc8,skc9,skc8,skc9,skc8),
inference(res,[status(thm),theory(equality)],[6839,53]),
[iquote('0:Res:6839.0,53.0')] ).
cnf(7118,plain,
para(skc8,skc7,skc8,skc7),
inference(res,[status(thm),theory(equality)],[6897,29]),
[iquote('0:Res:6897.0,29.0')] ).
cnf(7133,plain,
para(skc8,skc7,skc7,skc8),
inference(res,[status(thm),theory(equality)],[7118,11]),
[iquote('0:Res:7118.0,11.0')] ).
cnf(7147,plain,
para(skc7,skc8,skc8,skc7),
inference(res,[status(thm),theory(equality)],[7133,12]),
[iquote('0:Res:7133.0,12.0')] ).
cnf(7160,plain,
para(skc7,skc8,skc7,skc8),
inference(res,[status(thm),theory(equality)],[7147,11]),
[iquote('0:Res:7147.0,11.0')] ).
cnf(7202,plain,
eqangle(skc8,skc7,skc11,skc8,skc7,skc8,skc11,skc8),
inference(res,[status(thm),theory(equality)],[6904,52]),
[iquote('0:Res:6904.0,52.0')] ).
cnf(7395,plain,
( ~ coll(skc6,skc9,skc8)
| cyclic(skc8,skc8,skc6,skc9) ),
inference(res,[status(thm),theory(equality)],[7032,75]),
[iquote('0:Res:7032.0,75.1')] ).
cnf(7399,plain,
cyclic(skc8,skc8,skc6,skc9),
inference(mrr,[status(thm)],[7395,2595]),
[iquote('0:MRR:7395.0,2595.0')] ).
cnf(7463,plain,
cyclic(skc8,skc8,skc9,skc6),
inference(res,[status(thm),theory(equality)],[7399,15]),
[iquote('0:Res:7399.0,15.0')] ).
cnf(7474,plain,
cyclic(skc8,skc9,skc8,skc6),
inference(res,[status(thm),theory(equality)],[7463,16]),
[iquote('0:Res:7463.0,16.0')] ).
cnf(7488,plain,
cyclic(skc8,skc9,skc6,skc8),
inference(res,[status(thm),theory(equality)],[7474,15]),
[iquote('0:Res:7474.0,15.0')] ).
cnf(7538,plain,
cyclic(skc9,skc8,skc6,skc8),
inference(res,[status(thm),theory(equality)],[7488,17]),
[iquote('0:Res:7488.0,17.0')] ).
cnf(7585,plain,
cyclic(skc9,skc6,skc8,skc8),
inference(res,[status(thm),theory(equality)],[7538,16]),
[iquote('0:Res:7538.0,16.0')] ).
cnf(7587,plain,
( ~ cyclic(skc9,skc6,skc8,skc9)
| ~ cyclic(skc9,skc6,skc8,skc7)
| cong(skc9,skc6,skc9,skc7) ),
inference(mrr,[status(thm)],[3560,7585]),
[iquote('0:MRR:3560.2,7585.0')] ).
cnf(7696,plain,
eqangle(skc7,skc8,skc11,skc8,skc7,skc8,skc11,skc8),
inference(res,[status(thm),theory(equality)],[7202,50]),
[iquote('0:Res:7202.0,50.0')] ).
cnf(7933,plain,
eqangle(skc7,skc8,skc7,skc8,skc11,skc8,skc11,skc8),
inference(res,[status(thm),theory(equality)],[7696,53]),
[iquote('0:Res:7696.0,53.0')] ).
cnf(8139,plain,
( ~ coll(skc7,skc11,skc8)
| cyclic(skc8,skc8,skc7,skc11) ),
inference(res,[status(thm),theory(equality)],[7933,75]),
[iquote('0:Res:7933.0,75.1')] ).
cnf(8143,plain,
cyclic(skc8,skc8,skc7,skc11),
inference(mrr,[status(thm)],[8139,5644]),
[iquote('0:MRR:8139.0,5644.0')] ).
cnf(8161,plain,
( ~ cyclic(skc8,skc8,skc7,u)
| cyclic(skc8,skc7,u,skc11) ),
inference(res,[status(thm),theory(equality)],[8143,43]),
[iquote('0:Res:8143.0,43.0')] ).
cnf(8162,plain,
cyclic(skc8,skc8,skc11,skc7),
inference(res,[status(thm),theory(equality)],[8143,15]),
[iquote('0:Res:8143.0,15.0')] ).
cnf(8173,plain,
cyclic(skc8,skc11,skc8,skc7),
inference(res,[status(thm),theory(equality)],[8162,16]),
[iquote('0:Res:8162.0,16.0')] ).
cnf(8187,plain,
cyclic(skc8,skc11,skc7,skc8),
inference(res,[status(thm),theory(equality)],[8173,15]),
[iquote('0:Res:8173.0,15.0')] ).
cnf(8246,plain,
( ~ cyclic(skc8,skc11,skc7,skc11)
| cong(skc8,skc11,skc8,skc11) ),
inference(res,[status(thm),theory(equality)],[8187,3575]),
[iquote('0:Res:8187.0,3575.0')] ).
cnf(15565,plain,
( ~ midp(skc9,skc6,skc7)
| midp(skc8,skc8,skc9) ),
inference(res,[status(thm),theory(equality)],[1974,2765]),
[iquote('0:Res:1974.1,2765.0')] ).
cnf(15734,plain,
( ~ midp(skc8,skc8,skc11)
| midp(skc11,skc7,skc10) ),
inference(res,[status(thm),theory(equality)],[2772,1975]),
[iquote('0:Res:2772.1,1975.0')] ).
cnf(15785,plain,
( ~ midp(skc8,skc8,skc11)
| ~ midp(skc9,skc7,skc6) ),
inference(res,[status(thm),theory(equality)],[15734,152]),
[iquote('0:Res:15734.1,152.1')] ).
cnf(15819,plain,
( ~ midp(skc8,skc8,skc9)
| midp(skc9,skc7,skc6) ),
inference(res,[status(thm),theory(equality)],[2779,1976]),
[iquote('0:Res:2779.1,1976.0')] ).
cnf(21252,plain,
cyclic(skc8,skc8,skc7,u),
inference(res,[status(thm),theory(equality)],[7160,4358]),
[iquote('0:Res:7160.0,4358.0')] ).
cnf(21266,plain,
cyclic(skc8,skc7,u,skc11),
inference(mrr,[status(thm)],[8161,21252]),
[iquote('0:MRR:8161.0,21252.0')] ).
cnf(21536,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[7160,4660]),
[iquote('0:Res:7160.0,4660.0')] ).
cnf(21551,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4358,21536]),
[iquote('0:MRR:4358.0,21536.0')] ).
cnf(22109,plain,
cyclic(skc8,u,skc7,skc11),
inference(res,[status(thm),theory(equality)],[21266,16]),
[iquote('0:Res:21266.0,16.0')] ).
cnf(22114,plain,
cong(skc8,skc11,skc8,skc11),
inference(mrr,[status(thm)],[8246,22109]),
[iquote('0:MRR:8246.0,22109.0')] ).
cnf(22237,plain,
cong(skc8,skc11,skc11,skc8),
inference(res,[status(thm),theory(equality)],[22114,18]),
[iquote('0:Res:22114.0,18.0')] ).
cnf(22519,plain,
cong(skc11,skc8,skc8,skc11),
inference(res,[status(thm),theory(equality)],[22237,19]),
[iquote('0:Res:22237.0,19.0')] ).
cnf(22686,plain,
cong(skc11,skc8,skc11,skc8),
inference(res,[status(thm),theory(equality)],[22519,18]),
[iquote('0:Res:22519.0,18.0')] ).
cnf(22917,plain,
( ~ coll(skc11,skc8,skc8)
| midp(skc11,skc8,skc8) ),
inference(res,[status(thm),theory(equality)],[22686,35]),
[iquote('0:Res:22686.0,35.1')] ).
cnf(22928,plain,
midp(skc11,skc8,skc8),
inference(mrr,[status(thm)],[22917,2429]),
[iquote('0:MRR:22917.0,2429.0')] ).
cnf(22963,plain,
midp(skc8,skc8,skc11),
inference(res,[status(thm),theory(equality)],[22928,2758]),
[iquote('0:Res:22928.0,2758.0')] ).
cnf(22974,plain,
~ midp(skc9,skc7,skc6),
inference(mrr,[status(thm)],[15785,22963]),
[iquote('0:MRR:15785.0,22963.0')] ).
cnf(22985,plain,
~ midp(skc8,skc8,skc9),
inference(mrr,[status(thm)],[15819,22974]),
[iquote('0:MRR:15819.1,22974.0')] ).
cnf(22996,plain,
~ midp(skc9,skc6,skc7),
inference(mrr,[status(thm)],[15565,22985]),
[iquote('0:MRR:15565.1,22985.0')] ).
cnf(23200,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[21551,43]),
[iquote('0:Res:21551.0,43.0')] ).
cnf(23370,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[23200,21551]),
[iquote('0:MRR:23200.0,21551.0')] ).
cnf(23634,plain,
cong(skc9,skc6,skc9,skc7),
inference(mrr,[status(thm)],[7587,23370]),
[iquote('0:MRR:7587.1,7587.0,23370.0')] ).
cnf(24499,plain,
( ~ coll(skc9,skc6,skc7)
| midp(skc9,skc6,skc7) ),
inference(res,[status(thm),theory(equality)],[23634,35]),
[iquote('0:Res:23634.0,35.1')] ).
cnf(24505,plain,
$false,
inference(mrr,[status(thm)],[24499,6088,22996]),
[iquote('0:MRR:24499.0,24499.1,6088.0,22996.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO656+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n016.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 : Sat Jun 18 00:35:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 12.83/13.01
% 12.83/13.01 SPASS V 3.9
% 12.83/13.01 SPASS beiseite: Proof found.
% 12.83/13.01 % SZS status Theorem
% 12.83/13.01 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.83/13.01 SPASS derived 23982 clauses, backtracked 0 clauses, performed 0 splits and kept 10014 clauses.
% 12.83/13.01 SPASS allocated 100135 KBytes.
% 12.83/13.01 SPASS spent 0:0:12.64 on the problem.
% 12.83/13.01 0:00:00.04 for the input.
% 12.83/13.01 0:00:00.23 for the FLOTTER CNF translation.
% 12.83/13.01 0:00:00.41 for inferences.
% 12.83/13.01 0:00:00.00 for the backtracking.
% 12.83/13.01 0:0:11.50 for the reduction.
% 12.83/13.01
% 12.83/13.01
% 12.83/13.01 Here is a proof with depth 19, length 197 :
% 12.83/13.01 % SZS output start Refutation
% See solution above
% 13.05/13.23 Formulae used in the proof : exemplo6GDDFULLmoreE02314 ruleD1 ruleD2 ruleD69 ruleD66 ruleD4 ruleD5 ruleD14 ruleD15 ruleD16 ruleD23 ruleD24 ruleD3 ruleD39 ruleD40 ruleD41 ruleD44 ruleD67 ruleD17 ruleD18 ruleD19 ruleD20 ruleD21 ruleD42a ruleD45 ruleD42b ruleD73 ruleD64 ruleD22 ruleD43
% 13.05/13.23
%------------------------------------------------------------------------------