TSTP Solution File: GEO578+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO578+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 06:25:20 EDT 2022
% Result : Theorem 13.46s 13.64s
% Output : Refutation 13.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 16
% Syntax : Number of clauses : 53 ( 17 unt; 5 nHn; 53 RR)
% Number of literals : 116 ( 0 equ; 63 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 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(3,axiom,
~ cong(skc7,skc6,skc7,skc5),
file('GEO578+1.p',unknown),
[] ).
cnf(5,axiom,
eqangle(skc6,skc9,skc9,skc8,skc6,skc9,skc9,skc5),
file('GEO578+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO578+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO578+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO578+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO578+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO578+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('GEO578+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('GEO578+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('GEO578+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('GEO578+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('GEO578+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,w,x)
| para(y,z,x1,x2) ),
file('GEO578+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('GEO578+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('GEO578+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('GEO578+1.p',unknown),
[] ).
cnf(167,plain,
( ~ cyclic(skc7,skc6,u,v)
| ~ cyclic(skc7,skc6,u,skc7)
| ~ cyclic(skc7,skc6,u,skc5)
| ~ eqangle(u,skc7,u,skc6,v,skc7,v,skc5) ),
inference(res,[status(thm),theory(equality)],[119,3]),
[iquote('0:Res:119.4,3.0')] ).
cnf(185,plain,
eqangle(skc9,skc8,skc6,skc9,skc9,skc5,skc6,skc9),
inference(res,[status(thm),theory(equality)],[5,53]),
[iquote('0:Res:5.0,53.0')] ).
cnf(187,plain,
eqangle(skc6,skc9,skc6,skc9,skc9,skc8,skc9,skc5),
inference(res,[status(thm),theory(equality)],[5,55]),
[iquote('0:Res:5.0,55.0')] ).
cnf(547,plain,
para(skc9,skc8,skc9,skc5),
inference(res,[status(thm),theory(equality)],[185,31]),
[iquote('0:Res:185.0,31.0')] ).
cnf(965,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(1084,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(1149,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(1407,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(1902,plain,
( ~ para(skc9,skc8,skc9,skc5)
| para(skc6,skc9,skc6,skc9) ),
inference(res,[status(thm),theory(equality)],[187,85]),
[iquote('0:Res:187.0,85.1')] ).
cnf(2010,plain,
para(skc6,skc9,skc6,skc9),
inference(mrr,[status(thm)],[1902,547]),
[iquote('0:MRR:1902.0,547.0')] ).
cnf(3398,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(3410,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)],[3398]),
[iquote('0:Obv:3398.0')] ).
cnf(3411,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3410]),
[iquote('0:Con:3410.2')] ).
cnf(4072,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1084,60]),
[iquote('0:Res:1084.1,60.0')] ).
cnf(4083,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1084,77]),
[iquote('0:Res:1084.1,77.1')] ).
cnf(4096,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4083,4072]),
[iquote('0:MRR:4083.1,4072.1')] ).
cnf(4398,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1149,31]),
[iquote('0:Res:1149.1,31.0')] ).
cnf(10899,plain,
( ~ para(u,skc6,u,skc5)
| ~ cyclic(skc7,skc6,u,u)
| ~ cyclic(skc7,skc6,u,skc7)
| ~ cyclic(skc7,skc6,u,skc5) ),
inference(res,[status(thm),theory(equality)],[1149,167]),
[iquote('0:Res:1149.1,167.3')] ).
cnf(13207,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[2010,4398]),
[iquote('0:Res:2010.0,4398.0')] ).
cnf(13222,plain,
( coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(mrr,[status(thm)],[965,13207]),
[iquote('0:MRR:965.0,13207.0')] ).
cnf(13223,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[1407,13207]),
[iquote('0:MRR:1407.0,13207.0')] ).
cnf(13225,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4096,13207]),
[iquote('0:MRR:4096.0,13207.0')] ).
cnf(13334,plain,
( coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(res,[status(thm),theory(equality)],[13222,19]),
[iquote('0:Res:13222.1,19.0')] ).
cnf(13339,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[13334,13223]),
[iquote('0:MRR:13334.0,13223.0')] ).
cnf(13539,plain,
( ~ para(u,skc6,u,skc5)
| ~ cyclic(skc7,skc6,u,skc7)
| ~ cyclic(skc7,skc6,u,skc5) ),
inference(mrr,[status(thm)],[10899,13339]),
[iquote('0:MRR:10899.1,13339.0')] ).
cnf(14975,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[13225,93]),
[iquote('0:Res:13225.0,93.0')] ).
cnf(14976,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[13225,45]),
[iquote('0:Res:13225.0,45.0')] ).
cnf(15320,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[14976,13225]),
[iquote('0:MRR:14976.0,13225.0')] ).
cnf(15339,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[67,15320]),
[iquote('0:MRR:67.1,15320.0')] ).
cnf(15341,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3411,15320]),
[iquote('0:MRR:3411.1,3411.0,15320.0')] ).
cnf(15667,plain,
~ para(u,skc6,u,skc5),
inference(mrr,[status(thm)],[13539,15320]),
[iquote('0:MRR:13539.2,13539.1,15320.0')] ).
cnf(16012,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[14975,15341]),
[iquote('0:MRR:14975.0,14975.1,15341.0,15341.0')] ).
cnf(16022,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[90,16012]),
[iquote('0:MRR:90.0,16012.0')] ).
cnf(16033,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[15339,16012]),
[iquote('0:MRR:15339.0,16012.0')] ).
cnf(17412,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[16033,16022]),
[iquote('0:Res:16033.0,16022.0')] ).
cnf(18281,plain,
para(u,v,u,u),
inference(res,[status(thm),theory(equality)],[17412,31]),
[iquote('0:Res:17412.0,31.0')] ).
cnf(18311,plain,
$false,
inference(unc,[status(thm)],[18281,15667]),
[iquote('0:UnC:18281.0,15667.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO578+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n003.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 : Fri Jun 17 16:55:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 13.46/13.64
% 13.46/13.64 SPASS V 3.9
% 13.46/13.64 SPASS beiseite: Proof found.
% 13.46/13.64 % SZS status Theorem
% 13.46/13.64 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.46/13.64 SPASS derived 17806 clauses, backtracked 0 clauses, performed 0 splits and kept 10971 clauses.
% 13.46/13.64 SPASS allocated 98001 KBytes.
% 13.46/13.64 SPASS spent 0:0:13.12 on the problem.
% 13.46/13.64 0:00:00.04 for the input.
% 13.46/13.64 0:00:00.23 for the FLOTTER CNF translation.
% 13.46/13.64 0:00:00.47 for inferences.
% 13.46/13.64 0:00:00.00 for the backtracking.
% 13.46/13.64 0:0:12.04 for the reduction.
% 13.46/13.64
% 13.46/13.64
% 13.46/13.64 Here is a proof with depth 3, length 53 :
% 13.46/13.64 % SZS output start Refutation
% See solution above
% 13.46/13.64 Formulae used in the proof : exemplo6GDDFULL214040 ruleD16 ruleD39 ruleD40 ruleD41 ruleD17 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD73 ruleD48 ruleD57 ruleD43
% 13.46/13.64
%------------------------------------------------------------------------------