TSTP Solution File: GEO596+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO596+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 06:25:26 EDT 2022
% Result : Theorem 1.53s 1.70s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 22
% Syntax : Number of clauses : 77 ( 34 unt; 0 nHn; 77 RR)
% Number of literals : 140 ( 0 equ; 65 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 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,
coll(skc10,skc13,skc12),
file('GEO596+1.p',unknown),
[] ).
cnf(6,axiom,
para(skc13,skc9,skc11,skc10),
file('GEO596+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO596+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO596+1.p',unknown),
[] ).
cnf(11,axiom,
~ eqangle(skc11,skc10,skc10,skc12,skc10,skc8,skc8,skc12),
file('GEO596+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO596+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ midp(u,v,w)
| cong(u,v,u,w) ),
file('GEO596+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO596+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,w,v,x) ),
file('GEO596+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO596+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO596+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO596+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ coll(u,v,w)
| ~ cong(u,v,u,w)
| midp(u,v,w) ),
file('GEO596+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO596+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO596+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('GEO596+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('GEO596+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('GEO596+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('GEO596+1.p',unknown),
[] ).
cnf(86,axiom,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,w,x)
| para(y,z,x1,x2) ),
file('GEO596+1.p',unknown),
[] ).
cnf(114,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('GEO596+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('GEO596+1.p',unknown),
[] ).
cnf(168,plain,
( ~ coll(skc10,skc13,u)
| coll(skc12,u,skc10) ),
inference(res,[status(thm),theory(equality)],[1,25]),
[iquote('0:Res:1.0,25.0')] ).
cnf(169,plain,
coll(skc10,skc12,skc13),
inference(res,[status(thm),theory(equality)],[1,7]),
[iquote('0:Res:1.0,7.0')] ).
cnf(172,plain,
( ~ coll(skc10,skc13,u)
| coll(u,skc12,skc10) ),
inference(res,[status(thm),theory(equality)],[1,25]),
[iquote('0:Res:1.0,25.1')] ).
cnf(196,plain,
eqangle(skc13,skc9,u,v,skc11,skc10,u,v),
inference(res,[status(thm),theory(equality)],[6,33]),
[iquote('0:Res:6.0,33.0')] ).
cnf(231,plain,
~ eqangle(skc10,skc12,skc11,skc10,skc8,skc12,skc10,skc8),
inference(res,[status(thm),theory(equality)],[54,11]),
[iquote('0:Res:54.1,11.0')] ).
cnf(235,plain,
coll(skc12,skc12,skc10),
inference(res,[status(thm),theory(equality)],[1,172]),
[iquote('0:Res:1.0,172.0')] ).
cnf(291,plain,
( ~ coll(skc10,skc13,u)
| coll(skc12,skc10,u) ),
inference(res,[status(thm),theory(equality)],[168,7]),
[iquote('0:Res:168.1,7.0')] ).
cnf(415,plain,
( ~ coll(skc10,skc12,u)
| coll(u,skc13,skc10) ),
inference(res,[status(thm),theory(equality)],[169,25]),
[iquote('0:Res:169.0,25.0')] ).
cnf(430,plain,
( ~ coll(skc12,skc12,u)
| coll(u,skc10,skc12) ),
inference(res,[status(thm),theory(equality)],[235,25]),
[iquote('0:Res:235.0,25.0')] ).
cnf(438,plain,
( ~ coll(skc10,skc13,u)
| ~ coll(skc12,skc10,v)
| coll(v,u,skc12) ),
inference(res,[status(thm),theory(equality)],[291,25]),
[iquote('0:Res:291.1,25.0')] ).
cnf(442,plain,
coll(skc13,skc13,skc10),
inference(res,[status(thm),theory(equality)],[169,415]),
[iquote('0:Res:169.0,415.0')] ).
cnf(444,plain,
( ~ coll(skc13,skc13,u)
| coll(u,skc10,skc13) ),
inference(res,[status(thm),theory(equality)],[442,25]),
[iquote('0:Res:442.0,25.0')] ).
cnf(718,plain,
( ~ midp(u,v,v)
| ~ cong(u,w,u,w)
| perp(u,u,w,v) ),
inference(res,[status(thm),theory(equality)],[13,48]),
[iquote('0:Res:13.1,48.0')] ).
cnf(1191,plain,
eqangle(skc13,skc9,skc11,skc10,u,v,u,v),
inference(res,[status(thm),theory(equality)],[196,56]),
[iquote('0:Res:196.0,56.0')] ).
cnf(1227,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(1278,plain,
coll(skc10,skc10,skc12),
inference(res,[status(thm),theory(equality)],[235,430]),
[iquote('0:Res:235.0,430.0')] ).
cnf(1283,plain,
( ~ coll(skc10,skc10,u)
| coll(u,skc12,skc10) ),
inference(res,[status(thm),theory(equality)],[1278,25]),
[iquote('0:Res:1278.0,25.0')] ).
cnf(1598,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(2637,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)],[33,114]),
[iquote('0:Res:33.1,114.0')] ).
cnf(2826,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(2828,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)],[2826]),
[iquote('0:Obv:2826.0')] ).
cnf(2829,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2828]),
[iquote('0:Con:2828.2')] ).
cnf(3692,plain,
eqangle(u,v,u,v,skc13,skc9,skc11,skc10),
inference(res,[status(thm),theory(equality)],[1191,55]),
[iquote('0:Res:1191.0,55.0')] ).
cnf(3761,plain,
( ~ para(skc13,skc9,skc11,skc10)
| para(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[3692,86]),
[iquote('0:Res:3692.0,86.1')] ).
cnf(3763,plain,
para(u,v,u,v),
inference(mrr,[status(thm)],[3761,6]),
[iquote('0:MRR:3761.0,6.0')] ).
cnf(3765,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[1598,3763]),
[iquote('0:MRR:1598.0,3763.0')] ).
cnf(3772,plain,
coll(u,v,v),
inference(res,[status(thm),theory(equality)],[3763,12]),
[iquote('0:Res:3763.0,12.0')] ).
cnf(3817,plain,
coll(u,v,u),
inference(res,[status(thm),theory(equality)],[3772,8]),
[iquote('0:Res:3772.0,8.0')] ).
cnf(4008,plain,
coll(u,u,v),
inference(res,[status(thm),theory(equality)],[3817,7]),
[iquote('0:Res:3817.0,7.0')] ).
cnf(4164,plain,
coll(u,skc12,skc10),
inference(mrr,[status(thm)],[1283,4008]),
[iquote('0:MRR:1283.0,4008.0')] ).
cnf(4174,plain,
coll(u,skc10,skc13),
inference(mrr,[status(thm)],[444,4008]),
[iquote('0:MRR:444.0,4008.0')] ).
cnf(4179,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[3765,4008]),
[iquote('0:MRR:3765.0,4008.0')] ).
cnf(4337,plain,
cyclic(u,v,w,v),
inference(res,[status(thm),theory(equality)],[4179,19]),
[iquote('0:Res:4179.0,19.0')] ).
cnf(4339,plain,
( ~ cyclic(u,v,w,u)
| cong(u,v,u,v) ),
inference(mrr,[status(thm)],[2829,4337]),
[iquote('0:MRR:2829.1,4337.0')] ).
cnf(4396,plain,
coll(skc12,u,skc10),
inference(res,[status(thm),theory(equality)],[4164,8]),
[iquote('0:Res:4164.0,8.0')] ).
cnf(4397,plain,
cong(u,v,u,v),
inference(res,[status(thm),theory(equality)],[4179,4339]),
[iquote('0:Res:4179.0,4339.0')] ).
cnf(4402,plain,
( ~ midp(u,v,v)
| perp(u,u,w,v) ),
inference(mrr,[status(thm)],[718,4397]),
[iquote('0:MRR:718.1,4397.0')] ).
cnf(4437,plain,
coll(skc10,u,skc13),
inference(res,[status(thm),theory(equality)],[4174,8]),
[iquote('0:Res:4174.0,8.0')] ).
cnf(4571,plain,
coll(skc12,skc10,u),
inference(res,[status(thm),theory(equality)],[4396,7]),
[iquote('0:Res:4396.0,7.0')] ).
cnf(4573,plain,
( ~ coll(skc10,skc13,u)
| coll(v,u,skc12) ),
inference(mrr,[status(thm)],[438,4571]),
[iquote('0:MRR:438.1,4571.0')] ).
cnf(4614,plain,
coll(skc10,skc13,u),
inference(res,[status(thm),theory(equality)],[4437,7]),
[iquote('0:Res:4437.0,7.0')] ).
cnf(4617,plain,
coll(u,v,skc12),
inference(mrr,[status(thm)],[4573,4614]),
[iquote('0:MRR:4573.0,4614.0')] ).
cnf(4761,plain,
coll(u,skc12,v),
inference(res,[status(thm),theory(equality)],[4617,7]),
[iquote('0:Res:4617.0,7.0')] ).
cnf(4908,plain,
( ~ coll(u,skc12,v)
| coll(v,w,u) ),
inference(res,[status(thm),theory(equality)],[4761,25]),
[iquote('0:Res:4761.0,25.0')] ).
cnf(4913,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[4908,4761]),
[iquote('0:MRR:4908.0,4761.0')] ).
cnf(4914,plain,
( ~ cong(u,v,u,w)
| midp(u,v,w) ),
inference(mrr,[status(thm)],[38,4913]),
[iquote('0:MRR:38.0,4913.0')] ).
cnf(5108,plain,
midp(u,v,v),
inference(res,[status(thm),theory(equality)],[4397,4914]),
[iquote('0:Res:4397.0,4914.0')] ).
cnf(5119,plain,
perp(u,u,v,w),
inference(mrr,[status(thm)],[4402,5108]),
[iquote('0:MRR:4402.0,5108.0')] ).
cnf(5242,plain,
( ~ perp(u,v,w,w)
| para(u,v,x,y) ),
inference(res,[status(thm),theory(equality)],[5119,43]),
[iquote('0:Res:5119.0,43.0')] ).
cnf(5245,plain,
perp(u,v,w,w),
inference(res,[status(thm),theory(equality)],[5119,17]),
[iquote('0:Res:5119.0,17.0')] ).
cnf(5266,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[5242,5245]),
[iquote('0:MRR:5242.0,5245.0')] ).
cnf(5278,plain,
eqangle(u,v,w,x,u,v,y,z),
inference(mrr,[status(thm)],[1227,5266]),
[iquote('0:MRR:1227.0,5266.0')] ).
cnf(5284,plain,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,w,x,x3,x4,x1,x2) ),
inference(mrr,[status(thm)],[2637,5266]),
[iquote('0:MRR:2637.0,5266.0')] ).
cnf(6514,plain,
eqangle(u,v,w,x,y,z,x1,x2),
inference(res,[status(thm),theory(equality)],[5278,5284]),
[iquote('0:Res:5278.0,5284.0')] ).
cnf(6622,plain,
$false,
inference(unc,[status(thm)],[6514,231]),
[iquote('0:UnC:6514.0,231.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO596+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 13:32:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.53/1.70
% 1.53/1.70 SPASS V 3.9
% 1.53/1.70 SPASS beiseite: Proof found.
% 1.53/1.70 % SZS status Theorem
% 1.53/1.70 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.53/1.70 SPASS derived 6328 clauses, backtracked 49 clauses, performed 2 splits and kept 3009 clauses.
% 1.53/1.70 SPASS allocated 89078 KBytes.
% 1.53/1.70 SPASS spent 0:00:01.35 on the problem.
% 1.53/1.70 0:00:00.04 for the input.
% 1.53/1.70 0:00:00.23 for the FLOTTER CNF translation.
% 1.53/1.70 0:00:00.08 for inferences.
% 1.53/1.70 0:00:00.00 for the backtracking.
% 1.53/1.70 0:00:00.90 for the reduction.
% 1.53/1.70
% 1.53/1.70
% 1.53/1.70 Here is a proof with depth 7, length 77 :
% 1.53/1.70 % SZS output start Refutation
% See solution above
% 1.53/1.70 Formulae used in the proof : exemplo6GDDFULL416058 ruleD1 ruleD2 ruleD66 ruleD68 ruleD8 ruleD15 ruleD3 ruleD40 ruleD41 ruleD67 ruleD9 ruleD56 ruleD19 ruleD20 ruleD21 ruleD42b ruleD73 ruleD22 ruleD43
% 1.53/1.70
%------------------------------------------------------------------------------