TSTP Solution File: GEO581+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO581+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 15.64s 15.83s
% Output : Refutation 15.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 26
% Syntax : Number of clauses : 86 ( 27 unt; 8 nHn; 86 RR)
% Number of literals : 186 ( 0 equ; 94 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 19 ( 19 usr; 18 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
eqangle(skc6,skc9,skc9,skc7,skc9,skc7,skc7,skc11),
file('GEO581+1.p',unknown),
[] ).
cnf(10,axiom,
~ eqangle(skc9,skc10,skc10,skc8,skc8,skc10,skc10,skc6),
file('GEO581+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO581+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO581+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO581+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO581+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO581+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO581+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ cong(u,v,u,w)
| eqangle(u,v,v,w,v,w,u,w) ),
file('GEO581+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ coll(u,v,w)
| ~ cong(u,v,u,w)
| midp(u,v,w) ),
file('GEO581+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO581+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ cong(u,v,u,w)
| ~ cong(u,v,u,x)
| circle(u,v,x,w) ),
file('GEO581+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO581+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO581+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO581+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(y,z,x1,x2,u,v,w,x) ),
file('GEO581+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO581+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO581+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ eqangle(u,v,v,w,v,w,u,w)
| coll(u,v,w)
| cong(u,v,u,w) ),
file('GEO581+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO581+1.p',unknown),
[] ).
cnf(75,axiom,
( ~ midp(u,v,w)
| ~ circle(x,y,v,w)
| eqangle(y,v,y,w,x,v,x,u) ),
file('GEO581+1.p',unknown),
[] ).
cnf(77,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO581+1.p',unknown),
[] ).
cnf(90,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO581+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO581+1.p',unknown),
[] ).
cnf(113,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('GEO581+1.p',unknown),
[] ).
cnf(119,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('GEO581+1.p',unknown),
[] ).
cnf(194,plain,
( ~ eqangle(skc9,skc7,skc7,skc11,u,v,w,x)
| eqangle(skc6,skc9,skc9,skc7,u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[5,113]),
[iquote('0:Res:5.0,113.0')] ).
cnf(199,plain,
eqangle(skc9,skc7,skc7,skc11,skc6,skc9,skc9,skc7),
inference(res,[status(thm),theory(equality)],[5,54]),
[iquote('0:Res:5.0,54.0')] ).
cnf(203,plain,
~ eqangle(skc9,skc10,skc8,skc10,skc10,skc8,skc10,skc6),
inference(res,[status(thm),theory(equality)],[55,10]),
[iquote('0:Res:55.1,10.0')] ).
cnf(626,plain,
( ~ cong(u,u,u,v)
| para(u,u,u,v) ),
inference(res,[status(thm),theory(equality)],[35,31]),
[iquote('0:Res:35.1,31.0')] ).
cnf(1138,plain,
( ~ cyclic(u,u,u,u)
| coll(u,u,u)
| cong(u,u,u,u) ),
inference(res,[status(thm),theory(equality)],[33,61]),
[iquote('0:Res:33.1,61.0')] ).
cnf(1160,plain,
( ~ para(u,v,u,v)
| coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[32,60]),
[iquote('0:Res:32.1,60.0')] ).
cnf(1261,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[32,55]),
[iquote('0:Res:32.1,55.0')] ).
cnf(1281,plain,
( ~ para(u,v,w,x)
| eqangle(w,x,y,z,u,v,y,z) ),
inference(res,[status(thm),theory(equality)],[32,54]),
[iquote('0:Res:32.1,54.0')] ).
cnf(1301,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[32,53]),
[iquote('0:Res:32.1,53.0')] ).
cnf(1588,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[32,77]),
[iquote('0:Res:32.1,77.1')] ).
cnf(2889,plain,
( ~ midp(u,v,w)
| ~ circle(x,y,v,w)
| ~ eqangle(z,x1,x2,x3,y,v,y,w)
| eqangle(z,x1,x2,x3,x,v,x,u) ),
inference(res,[status(thm),theory(equality)],[75,113]),
[iquote('0:Res:75.2,113.0')] ).
cnf(3054,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)],[33,119]),
[iquote('0:Res:33.1,119.3')] ).
cnf(3056,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)],[3054]),
[iquote('0:Obv:3054.0')] ).
cnf(3057,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3056]),
[iquote('0:Con:3056.2')] ).
cnf(3332,plain,
( ~ cong(u,u,u,v)
| coll(u,u,v) ),
inference(res,[status(thm),theory(equality)],[626,11]),
[iquote('0:Res:626.1,11.0')] ).
cnf(3344,plain,
( ~ cyclic(u,u,u,u)
| coll(u,u,u) ),
inference(mrr,[status(thm)],[1138,3332]),
[iquote('0:MRR:1138.2,3332.0')] ).
cnf(3892,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1261,60]),
[iquote('0:Res:1261.1,60.0')] ).
cnf(3903,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1261,77]),
[iquote('0:Res:1261.1,77.1')] ).
cnf(3916,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[3903,3892]),
[iquote('0:MRR:3903.1,3892.1')] ).
cnf(4028,plain,
( ~ para(u,v,u,u)
| coll(u,u,v)
| cong(u,u,u,v) ),
inference(res,[status(thm),theory(equality)],[1281,61]),
[iquote('0:Res:1281.1,61.0')] ).
cnf(4053,plain,
( ~ para(u,v,u,u)
| coll(u,u,v) ),
inference(mrr,[status(thm)],[4028,3332]),
[iquote('0:MRR:4028.2,3332.0')] ).
cnf(4206,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1301,31]),
[iquote('0:Res:1301.1,31.0')] ).
cnf(4218,plain,
( ~ para(u,v,u,w)
| ~ cyclic(x,v,u,x)
| ~ cyclic(x,v,u,w)
| ~ cyclic(x,v,u,u)
| cong(x,v,x,w) ),
inference(res,[status(thm),theory(equality)],[1301,119]),
[iquote('0:Res:1301.1,119.3')] ).
cnf(14826,plain,
eqangle(skc6,skc9,skc9,skc7,skc6,skc9,skc9,skc7),
inference(res,[status(thm),theory(equality)],[199,194]),
[iquote('0:Res:199.0,194.0')] ).
cnf(15109,plain,
eqangle(skc9,skc7,skc6,skc9,skc9,skc7,skc6,skc9),
inference(res,[status(thm),theory(equality)],[14826,53]),
[iquote('0:Res:14826.0,53.0')] ).
cnf(15219,plain,
para(skc9,skc7,skc9,skc7),
inference(res,[status(thm),theory(equality)],[15109,31]),
[iquote('0:Res:15109.0,31.0')] ).
cnf(18658,plain,
( ~ para(u,v,w,x)
| ~ midp(y,z,z)
| ~ circle(x1,x2,z,z)
| eqangle(u,v,w,x,x1,z,x1,y) ),
inference(res,[status(thm),theory(equality)],[1261,2889]),
[iquote('0:Res:1261.1,2889.2')] ).
cnf(21412,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[15219,4206]),
[iquote('0:Res:15219.0,4206.0')] ).
cnf(21417,plain,
( coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(mrr,[status(thm)],[1160,21412]),
[iquote('0:MRR:1160.0,21412.0')] ).
cnf(21418,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[1588,21412]),
[iquote('0:MRR:1588.0,21412.0')] ).
cnf(21420,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[3916,21412]),
[iquote('0:MRR:3916.0,21412.0')] ).
cnf(21432,plain,
coll(u,u,u),
inference(mrr,[status(thm)],[3344,21420]),
[iquote('0:MRR:3344.0,21420.0')] ).
cnf(21513,plain,
( ~ coll(u,u,v)
| coll(v,u,u) ),
inference(res,[status(thm),theory(equality)],[21432,24]),
[iquote('0:Res:21432.0,24.0')] ).
cnf(21616,plain,
( coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(res,[status(thm),theory(equality)],[21417,19]),
[iquote('0:Res:21417.1,19.0')] ).
cnf(21627,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[21616,21418]),
[iquote('0:MRR:21616.0,21418.0')] ).
cnf(21636,plain,
( ~ para(u,v,u,w)
| ~ cyclic(x,v,u,x)
| ~ cyclic(x,v,u,w)
| cong(x,v,x,w) ),
inference(mrr,[status(thm)],[4218,21627]),
[iquote('0:MRR:4218.3,21627.0')] ).
cnf(23112,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[21420,93]),
[iquote('0:Res:21420.0,93.0')] ).
cnf(23113,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[21420,45]),
[iquote('0:Res:21420.0,45.0')] ).
cnf(23283,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[23113,21420]),
[iquote('0:MRR:23113.0,21420.0')] ).
cnf(23287,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[119,23283]),
[iquote('0:MRR:119.2,119.1,119.0,23283.0')] ).
cnf(23302,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[67,23283]),
[iquote('0:MRR:67.1,23283.0')] ).
cnf(23304,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3057,23283]),
[iquote('0:MRR:3057.1,3057.0,23283.0')] ).
cnf(23317,plain,
( ~ para(u,v,u,w)
| cong(x,v,x,w) ),
inference(mrr,[status(thm)],[21636,23283]),
[iquote('0:MRR:21636.2,21636.1,23283.0')] ).
cnf(23589,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[23112,23304]),
[iquote('0:MRR:23112.0,23112.1,23304.0,23304.0')] ).
cnf(23595,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[90,23589]),
[iquote('0:MRR:90.0,23589.0')] ).
cnf(23626,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[23302,23589]),
[iquote('0:MRR:23302.0,23589.0')] ).
cnf(26465,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[23626,23595]),
[iquote('0:Res:23626.0,23595.0')] ).
cnf(26681,plain,
( ~ coll(u,v,v)
| midp(u,v,v) ),
inference(res,[status(thm),theory(equality)],[23304,37]),
[iquote('0:Res:23304.0,37.1')] ).
cnf(27588,plain,
para(u,v,u,u),
inference(res,[status(thm),theory(equality)],[26465,31]),
[iquote('0:Res:26465.0,31.0')] ).
cnf(27590,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[26465,23287]),
[iquote('0:Res:26465.0,23287.0')] ).
cnf(27604,plain,
coll(u,u,v),
inference(mrr,[status(thm)],[4053,27588]),
[iquote('0:MRR:4053.0,27588.0')] ).
cnf(27715,plain,
coll(u,v,v),
inference(mrr,[status(thm)],[21513,27604]),
[iquote('0:MRR:21513.0,27604.0')] ).
cnf(27860,plain,
midp(u,v,v),
inference(mrr,[status(thm)],[26681,27715]),
[iquote('0:MRR:26681.0,27715.0')] ).
cnf(27924,plain,
( ~ para(u,v,w,x)
| ~ circle(y,z,x1,x1)
| eqangle(u,v,w,x,y,x1,y,x2) ),
inference(mrr,[status(thm)],[18658,27860]),
[iquote('0:MRR:18658.1,27860.0')] ).
cnf(27975,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[47,27590]),
[iquote('0:MRR:47.1,47.0,27590.0')] ).
cnf(28007,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[42,27975]),
[iquote('0:MRR:42.1,42.0,27975.0')] ).
cnf(28442,plain,
cong(u,v,u,w),
inference(mrr,[status(thm)],[23317,28007]),
[iquote('0:MRR:23317.0,28007.0')] ).
cnf(28924,plain,
circle(u,v,w,x),
inference(mrr,[status(thm)],[44,28442]),
[iquote('0:MRR:44.1,44.0,28442.0')] ).
cnf(29340,plain,
eqangle(u,v,w,x,y,z,y,x1),
inference(mrr,[status(thm)],[27924,28007,28924]),
[iquote('0:MRR:27924.0,27924.1,28007.0,28924.0')] ).
cnf(29341,plain,
$false,
inference(unc,[status(thm)],[29340,203]),
[iquote('0:UnC:29340.0,203.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO581+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jun 17 15:23:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 15.64/15.83
% 15.64/15.83 SPASS V 3.9
% 15.64/15.83 SPASS beiseite: Proof found.
% 15.64/15.83 % SZS status Theorem
% 15.64/15.83 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.64/15.83 SPASS derived 28482 clauses, backtracked 4747 clauses, performed 3 splits and kept 16735 clauses.
% 15.64/15.83 SPASS allocated 102598 KBytes.
% 15.64/15.83 SPASS spent 0:0:15.40 on the problem.
% 15.64/15.83 0:00:00.04 for the input.
% 15.64/15.83 0:00:00.23 for the FLOTTER CNF translation.
% 15.64/15.83 0:00:00.51 for inferences.
% 15.64/15.83 0:00:00.16 for the backtracking.
% 15.64/15.83 0:0:13.97 for the reduction.
% 15.64/15.83
% 15.64/15.83
% 15.64/15.83 Here is a proof with depth 5, length 86 :
% 15.64/15.83 % SZS output start Refutation
% See solution above
% 15.64/15.83 Formulae used in the proof : exemplo6GDDFULL416043 ruleD66 ruleD16 ruleD3 ruleD39 ruleD40 ruleD41 ruleD46 ruleD67 ruleD9 ruleD12 ruleD17 ruleD56 ruleD19 ruleD20 ruleD21 ruleD42a ruleD47 ruleX14 ruleD50 ruleD42b ruleD48 ruleD57 ruleD22 ruleD43
% 15.64/15.83
%------------------------------------------------------------------------------