TSTP Solution File: GEO587+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO587+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 06:25:23 EDT 2022
% Result : Theorem 20.78s 20.95s
% Output : Refutation 20.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 27
% Syntax : Number of clauses : 79 ( 23 unt; 5 nHn; 79 RR)
% Number of literals : 179 ( 0 equ; 96 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 14 ( 14 usr; 13 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
midp(skc10,skc17,skc16),
file('GEO587+1.p',unknown),
[] ).
cnf(8,axiom,
~ cong(skc11,skc10,skc11,skc9),
file('GEO587+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO587+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO587+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO587+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO587+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO587+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO587+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO587+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO587+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO587+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO587+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO587+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO587+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(v,u,w,x,y,z,x1,x2) ),
file('GEO587+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO587+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO587+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ eqratio(u,v,w,x,y,z,x1,x2)
| eqratio(v,u,w,x,y,z,x1,x2) ),
file('GEO587+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO587+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO587+1.p',unknown),
[] ).
cnf(79,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO587+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ cong(u,v,w,x)
| ~ eqratio(y,z,x1,x2,u,v,w,x)
| cong(y,z,x1,x2) ),
file('GEO587+1.p',unknown),
[] ).
cnf(90,axiom,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| eqangle(u,x,w,x,w,x,w,v) ),
file('GEO587+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO587+1.p',unknown),
[] ).
cnf(95,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO587+1.p',unknown),
[] ).
cnf(106,axiom,
( ~ coll(u,v,w)
| ~ coll(u,x,y)
| ~ para(x,v,y,w)
| eqratio(u,x,x,y,u,v,v,w) ),
file('GEO587+1.p',unknown),
[] ).
cnf(121,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('GEO587+1.p',unknown),
[] ).
cnf(235,plain,
midp(skc10,skc16,skc17),
inference(res,[status(thm),theory(equality)],[2,11]),
[iquote('0:Res:2.0,11.0')] ).
cnf(237,plain,
( ~ midp(skc10,u,v)
| para(u,skc17,v,skc16) ),
inference(res,[status(thm),theory(equality)],[2,38]),
[iquote('0:Res:2.0,38.1')] ).
cnf(661,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[35,33]),
[iquote('0:Res:35.1,33.0')] ).
cnf(1025,plain,
( ~ para(u,v,u,v)
| coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[34,62]),
[iquote('0:Res:34.1,62.0')] ).
cnf(1106,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[34,57]),
[iquote('0:Res:34.1,57.0')] ).
cnf(1138,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[34,55]),
[iquote('0:Res:34.1,55.0')] ).
cnf(1325,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[34,79]),
[iquote('0:Res:34.1,79.1')] ).
cnf(1488,plain,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| eqangle(x,u,w,x,w,x,w,v) ),
inference(res,[status(thm),theory(equality)],[90,54]),
[iquote('0:Res:90.2,54.0')] ).
cnf(1850,plain,
( ~ coll(u,v,w)
| ~ coll(u,x,y)
| ~ para(x,v,y,w)
| eqratio(x,u,x,y,u,v,v,w) ),
inference(res,[status(thm),theory(equality)],[106,58]),
[iquote('0:Res:106.3,58.0')] ).
cnf(2132,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)],[35,121]),
[iquote('0:Res:35.1,121.3')] ).
cnf(2134,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)],[2132]),
[iquote('0:Obv:2132.0')] ).
cnf(2135,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2134]),
[iquote('0:Con:2134.2')] ).
cnf(2471,plain,
( ~ midp(skc10,u,v)
| para(u,skc17,skc16,v) ),
inference(res,[status(thm),theory(equality)],[237,15]),
[iquote('0:Res:237.1,15.0')] ).
cnf(3978,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1106,62]),
[iquote('0:Res:1106.1,62.0')] ).
cnf(3989,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1106,79]),
[iquote('0:Res:1106.1,79.1')] ).
cnf(4003,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[3989,3978]),
[iquote('0:MRR:3989.1,3978.1')] ).
cnf(4226,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1138,33]),
[iquote('0:Res:1138.1,33.0')] ).
cnf(7326,plain,
( ~ para(u,v,w,w)
| ~ cyclic(u,v,w,w)
| ~ cyclic(u,w,w,w)
| ~ cyclic(u,w,w,v)
| ~ cyclic(u,w,w,w)
| cong(u,w,w,v) ),
inference(res,[status(thm),theory(equality)],[1488,121]),
[iquote('0:Res:1488.2,121.3')] ).
cnf(7337,plain,
( ~ para(u,v,w,w)
| ~ cyclic(u,v,w,w)
| ~ cyclic(u,w,w,v)
| ~ cyclic(u,w,w,w)
| cong(u,w,w,v) ),
inference(obv,[status(thm),theory(equality)],[7326]),
[iquote('0:Obv:7326.2')] ).
cnf(8545,plain,
( ~ coll(u,v,w)
| ~ coll(u,x,y)
| ~ para(x,v,y,w)
| ~ cong(u,v,v,w)
| cong(x,u,x,y) ),
inference(res,[status(thm),theory(equality)],[1850,85]),
[iquote('0:Res:1850.3,85.1')] ).
cnf(19064,plain,
( ~ midp(skc10,skc16,skc17)
| cyclic(skc17,skc17,skc16,u) ),
inference(res,[status(thm),theory(equality)],[2471,4003]),
[iquote('0:Res:2471.1,4003.0')] ).
cnf(19080,plain,
cyclic(skc17,skc17,skc16,u),
inference(mrr,[status(thm)],[19064,235]),
[iquote('0:MRR:19064.0,235.0')] ).
cnf(19104,plain,
para(skc16,skc17,skc16,skc17),
inference(res,[status(thm),theory(equality)],[19080,661]),
[iquote('0:Res:19080.0,661.0')] ).
cnf(19151,plain,
para(skc16,skc17,skc17,skc16),
inference(res,[status(thm),theory(equality)],[19104,15]),
[iquote('0:Res:19104.0,15.0')] ).
cnf(19224,plain,
para(skc17,skc16,skc16,skc17),
inference(res,[status(thm),theory(equality)],[19151,16]),
[iquote('0:Res:19151.0,16.0')] ).
cnf(19274,plain,
para(skc17,skc16,skc17,skc16),
inference(res,[status(thm),theory(equality)],[19224,15]),
[iquote('0:Res:19224.0,15.0')] ).
cnf(19736,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[19274,4226]),
[iquote('0:Res:19274.0,4226.0')] ).
cnf(19739,plain,
( coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(mrr,[status(thm)],[1025,19736]),
[iquote('0:MRR:1025.0,19736.0')] ).
cnf(19740,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[1325,19736]),
[iquote('0:MRR:1325.0,19736.0')] ).
cnf(19742,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4003,19736]),
[iquote('0:MRR:4003.0,19736.0')] ).
cnf(19988,plain,
( coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(res,[status(thm),theory(equality)],[19739,21]),
[iquote('0:Res:19739.1,21.0')] ).
cnf(19993,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[19988,19740]),
[iquote('0:MRR:19988.0,19740.0')] ).
cnf(20001,plain,
( ~ para(u,v,w,w)
| ~ cyclic(u,w,w,v)
| cong(u,w,w,v) ),
inference(mrr,[status(thm)],[7337,19993]),
[iquote('0:MRR:7337.3,7337.1,19993.0')] ).
cnf(22062,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[19742,95]),
[iquote('0:Res:19742.0,95.0')] ).
cnf(22063,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[19742,47]),
[iquote('0:Res:19742.0,47.0')] ).
cnf(22197,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[22063,19742]),
[iquote('0:MRR:22063.0,19742.0')] ).
cnf(22201,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[121,22197]),
[iquote('0:MRR:121.2,121.1,121.0,22197.0')] ).
cnf(22216,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[69,22197]),
[iquote('0:MRR:69.1,22197.0')] ).
cnf(22218,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2135,22197]),
[iquote('0:MRR:2135.1,2135.0,22197.0')] ).
cnf(22450,plain,
( ~ para(u,v,w,w)
| cong(u,w,w,v) ),
inference(mrr,[status(thm)],[20001,22197]),
[iquote('0:MRR:20001.1,22197.0')] ).
cnf(22686,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[22062,22218]),
[iquote('0:MRR:22062.0,22062.1,22218.0,22218.0')] ).
cnf(22692,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[92,22686]),
[iquote('0:MRR:92.0,22686.0')] ).
cnf(22710,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[22216,22686]),
[iquote('0:MRR:22216.0,22686.0')] ).
cnf(25637,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[22710,22692]),
[iquote('0:Res:22710.0,22692.0')] ).
cnf(26836,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[25637,22201]),
[iquote('0:Res:25637.0,22201.0')] ).
cnf(26856,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[49,26836]),
[iquote('0:MRR:49.1,49.0,26836.0')] ).
cnf(27627,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[44,26856]),
[iquote('0:MRR:44.1,44.0,26856.0')] ).
cnf(28062,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[13,27627]),
[iquote('0:MRR:13.0,27627.0')] ).
cnf(28213,plain,
( ~ coll(u,v,w)
| ~ coll(u,x,y)
| ~ cong(u,v,v,w)
| cong(x,u,x,y) ),
inference(mrr,[status(thm)],[8545,27627]),
[iquote('0:MRR:8545.2,27627.0')] ).
cnf(28433,plain,
cong(u,v,v,w),
inference(mrr,[status(thm)],[22450,27627]),
[iquote('0:MRR:22450.0,27627.0')] ).
cnf(29214,plain,
cong(u,v,u,w),
inference(mrr,[status(thm)],[28213,28062,28433]),
[iquote('0:MRR:28213.0,28213.1,28213.2,28062.0,28062.0,28433.0')] ).
cnf(29215,plain,
$false,
inference(unc,[status(thm)],[29214,8]),
[iquote('0:UnC:29214.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO587+1 : TPTP v8.1.0. Released v7.5.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 03:07:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 20.78/20.95
% 20.78/20.95 SPASS V 3.9
% 20.78/20.95 SPASS beiseite: Proof found.
% 20.78/20.95 % SZS status Theorem
% 20.78/20.95 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 20.78/20.95 SPASS derived 28142 clauses, backtracked 0 clauses, performed 1 splits and kept 14668 clauses.
% 20.78/20.95 SPASS allocated 104253 KBytes.
% 20.78/20.95 SPASS spent 0:0:20.50 on the problem.
% 20.78/20.95 0:00:00.02 for the input.
% 20.78/20.95 0:00:00.18 for the FLOTTER CNF translation.
% 20.78/20.95 0:00:00.44 for inferences.
% 20.78/20.95 0:00:00.01 for the backtracking.
% 20.78/20.95 0:0:19.25 for the reduction.
% 20.78/20.95
% 20.78/20.95
% 20.78/20.95 Here is a proof with depth 8, length 79 :
% 20.78/20.95 % SZS output start Refutation
% See solution above
% 20.78/20.95 Formulae used in the proof : exemplo6GDDFULL416049 ruleD11 ruleD66 ruleD4 ruleD5 ruleD16 ruleD39 ruleD40 ruleD41 ruleD63 ruleD9 ruleD17 ruleD56 ruleD18 ruleD19 ruleD21 ruleD26 ruleD42a ruleX14 ruleD42b ruleD75 ruleD54 ruleD48 ruleD57 ruleD65 ruleD43
% 20.78/20.95
%------------------------------------------------------------------------------