TSTP Solution File: GEO613+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO613+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 06:25:31 EDT 2022
% Result : Theorem 44.76s 44.95s
% Output : Refutation 44.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 21
% Syntax : Number of clauses : 59 ( 20 unt; 2 nHn; 59 RR)
% Number of literals : 123 ( 0 equ; 63 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 : 21 ( 21 usr; 20 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
midp(skc21,skc20,skc19),
file('GEO613+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO613+1.p',unknown),
[] ).
cnf(15,axiom,
~ eqangle(skc23,skc20,skc20,skc17,skc24,skc18,skc18,skc16),
file('GEO613+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO613+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO613+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO613+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO613+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO613+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO613+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO613+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO613+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO613+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO613+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO613+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO613+1.p',unknown),
[] ).
cnf(72,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO613+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO613+1.p',unknown),
[] ).
cnf(95,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO613+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO613+1.p',unknown),
[] ).
cnf(118,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('GEO613+1.p',unknown),
[] ).
cnf(124,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('GEO613+1.p',unknown),
[] ).
cnf(186,plain,
midp(skc21,skc19,skc20),
inference(res,[status(thm),theory(equality)],[2,13]),
[iquote('0:Res:2.0,13.0')] ).
cnf(188,plain,
( ~ midp(skc21,u,v)
| para(u,skc20,v,skc19) ),
inference(res,[status(thm),theory(equality)],[2,41]),
[iquote('0:Res:2.0,41.1')] ).
cnf(704,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[38,36]),
[iquote('0:Res:38.1,36.0')] ).
cnf(1199,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[37,60]),
[iquote('0:Res:37.1,60.0')] ).
cnf(1231,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[37,58]),
[iquote('0:Res:37.1,58.0')] ).
cnf(2386,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)],[37,118]),
[iquote('0:Res:37.1,118.0')] ).
cnf(2484,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)],[38,124]),
[iquote('0:Res:38.1,124.3')] ).
cnf(2486,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)],[2484]),
[iquote('0:Obv:2484.0')] ).
cnf(2487,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2486]),
[iquote('0:Con:2486.2')] ).
cnf(3771,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1199,65]),
[iquote('0:Res:1199.1,65.0')] ).
cnf(3782,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1199,82]),
[iquote('0:Res:1199.1,82.1')] ).
cnf(3797,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[3782,3771]),
[iquote('0:MRR:3782.1,3771.1')] ).
cnf(4025,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1231,36]),
[iquote('0:Res:1231.1,36.0')] ).
cnf(7786,plain,
( ~ para(u,v,w,x)
| ~ para(y,z,x1,x2)
| eqangle(y,z,u,v,x1,x2,w,x) ),
inference(res,[status(thm),theory(equality)],[1231,2386]),
[iquote('0:Res:1231.1,2386.1')] ).
cnf(44462,plain,
( ~ midp(skc21,u,v)
| para(u,skc20,skc19,v) ),
inference(res,[status(thm),theory(equality)],[188,18]),
[iquote('0:Res:188.1,18.0')] ).
cnf(49422,plain,
( ~ midp(skc21,skc19,skc20)
| cyclic(skc20,skc20,skc19,u) ),
inference(res,[status(thm),theory(equality)],[44462,3797]),
[iquote('0:Res:44462.1,3797.0')] ).
cnf(49443,plain,
cyclic(skc20,skc20,skc19,u),
inference(mrr,[status(thm)],[49422,186]),
[iquote('0:MRR:49422.0,186.0')] ).
cnf(49454,plain,
para(skc19,skc20,skc19,skc20),
inference(res,[status(thm),theory(equality)],[49443,704]),
[iquote('0:Res:49443.0,704.0')] ).
cnf(49489,plain,
para(skc19,skc20,skc20,skc19),
inference(res,[status(thm),theory(equality)],[49454,18]),
[iquote('0:Res:49454.0,18.0')] ).
cnf(49567,plain,
para(skc20,skc19,skc19,skc20),
inference(res,[status(thm),theory(equality)],[49489,19]),
[iquote('0:Res:49489.0,19.0')] ).
cnf(49692,plain,
para(skc20,skc19,skc20,skc19),
inference(res,[status(thm),theory(equality)],[49567,18]),
[iquote('0:Res:49567.0,18.0')] ).
cnf(53411,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[49692,4025]),
[iquote('0:Res:49692.0,4025.0')] ).
cnf(53420,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[3797,53411]),
[iquote('0:MRR:3797.0,53411.0')] ).
cnf(55080,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[53420,98]),
[iquote('0:Res:53420.0,98.0')] ).
cnf(55081,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[53420,50]),
[iquote('0:Res:53420.0,50.0')] ).
cnf(55129,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[55081,53420]),
[iquote('0:MRR:55081.0,53420.0')] ).
cnf(55133,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[124,55129]),
[iquote('0:MRR:124.2,124.1,124.0,55129.0')] ).
cnf(55148,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[72,55129]),
[iquote('0:MRR:72.1,55129.0')] ).
cnf(55150,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2487,55129]),
[iquote('0:MRR:2487.1,2487.0,55129.0')] ).
cnf(55401,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[55080,55150]),
[iquote('0:MRR:55080.0,55080.1,55150.0,55150.0')] ).
cnf(55402,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[95,55401]),
[iquote('0:MRR:95.0,55401.0')] ).
cnf(55421,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[55148,55401]),
[iquote('0:MRR:55148.0,55401.0')] ).
cnf(57340,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[55421,55402]),
[iquote('0:Res:55421.0,55402.0')] ).
cnf(62125,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[57340,55133]),
[iquote('0:Res:57340.0,55133.0')] ).
cnf(62145,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[52,62125]),
[iquote('0:MRR:52.1,52.0,62125.0')] ).
cnf(62172,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[47,62145]),
[iquote('0:MRR:47.1,47.0,62145.0')] ).
cnf(62571,plain,
eqangle(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[7786,62172]),
[iquote('0:MRR:7786.1,7786.0,62172.0')] ).
cnf(64206,plain,
$false,
inference(mrr,[status(thm)],[15,62571]),
[iquote('0:MRR:15.0,62571.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : GEO613+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.10 % Command : run_spass %d %s
% 0.10/0.28 % Computer : n032.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 600
% 0.10/0.28 % DateTime : Fri Jun 17 22:50:01 EDT 2022
% 0.10/0.29 % CPUTime :
% 44.76/44.95
% 44.76/44.95 SPASS V 3.9
% 44.76/44.95 SPASS beiseite: Proof found.
% 44.76/44.95 % SZS status Theorem
% 44.76/44.95 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 44.76/44.95 SPASS derived 58849 clauses, backtracked 10006 clauses, performed 4 splits and kept 32133 clauses.
% 44.76/44.95 SPASS allocated 120652 KBytes.
% 44.76/44.95 SPASS spent 0:0:44.36 on the problem.
% 44.76/44.95 0:00:00.03 for the input.
% 44.76/44.95 0:00:00.21 for the FLOTTER CNF translation.
% 44.76/44.95 0:00:01.11 for inferences.
% 44.76/44.95 0:00:00.98 for the backtracking.
% 44.76/44.95 0:0:40.80 for the reduction.
% 44.76/44.95
% 44.76/44.95
% 44.76/44.95 Here is a proof with depth 8, length 59 :
% 44.76/44.95 % SZS output start Refutation
% See solution above
% 44.76/44.95 Formulae used in the proof : exemplo6GDDFULL618075y ruleD11 ruleD4 ruleD5 ruleD39 ruleD40 ruleD41 ruleD63 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD22 ruleD43
% 44.76/44.95
%------------------------------------------------------------------------------