TSTP Solution File: GEO562+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO562+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 06:25:15 EDT 2022
% Result : Theorem 10.78s 11.06s
% Output : Refutation 10.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of clauses : 52 ( 17 unt; 2 nHn; 52 RR)
% Number of literals : 111 ( 0 equ; 58 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 : 20 ( 20 usr; 19 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(8,axiom,
perp(skc11,skc15,skc18,skc19),
file('GEO562+1.p',unknown),
[] ).
cnf(15,axiom,
~ eqangle(skc18,skc13,skc13,skc11,skc11,skc17,skc17,skc12),
file('GEO562+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO562+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO562+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO562+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO562+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO562+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO562+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO562+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('GEO562+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('GEO562+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('GEO562+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('GEO562+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('GEO562+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('GEO562+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('GEO562+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('GEO562+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('GEO562+1.p',unknown),
[] ).
cnf(394,plain,
perp(skc18,skc19,skc11,skc15),
inference(res,[status(thm),theory(equality)],[8,21]),
[iquote('0:Res:8.0,21.0')] ).
cnf(690,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(876,plain,
( ~ perp(u,v,skc18,skc19)
| para(u,v,skc11,skc15) ),
inference(res,[status(thm),theory(equality)],[394,47]),
[iquote('0:Res:394.0,47.0')] ).
cnf(1180,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(1219,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(2295,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(2416,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(2418,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)],[2416]),
[iquote('0:Obv:2416.0')] ).
cnf(2419,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2418]),
[iquote('0:Con:2418.2')] ).
cnf(3779,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1180,65]),
[iquote('0:Res:1180.1,65.0')] ).
cnf(3790,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1180,82]),
[iquote('0:Res:1180.1,82.1')] ).
cnf(3808,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[3790,3779]),
[iquote('0:MRR:3790.1,3779.1')] ).
cnf(4047,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1219,36]),
[iquote('0:Res:1219.1,36.0')] ).
cnf(8980,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)],[1219,2295]),
[iquote('0:Res:1219.1,2295.1')] ).
cnf(12519,plain,
( ~ perp(skc11,skc15,skc18,skc19)
| cyclic(skc15,skc15,skc11,u) ),
inference(res,[status(thm),theory(equality)],[876,3808]),
[iquote('0:Res:876.1,3808.0')] ).
cnf(12526,plain,
cyclic(skc15,skc15,skc11,u),
inference(mrr,[status(thm)],[12519,8]),
[iquote('0:MRR:12519.0,8.0')] ).
cnf(12542,plain,
para(skc11,skc15,skc11,skc15),
inference(res,[status(thm),theory(equality)],[12526,690]),
[iquote('0:Res:12526.0,690.0')] ).
cnf(12891,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[12542,4047]),
[iquote('0:Res:12542.0,4047.0')] ).
cnf(12898,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[3808,12891]),
[iquote('0:MRR:3808.0,12891.0')] ).
cnf(15094,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[12898,98]),
[iquote('0:Res:12898.0,98.0')] ).
cnf(15095,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[12898,50]),
[iquote('0:Res:12898.0,50.0')] ).
cnf(15137,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[15095,12898]),
[iquote('0:MRR:15095.0,12898.0')] ).
cnf(15141,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[124,15137]),
[iquote('0:MRR:124.2,124.1,124.0,15137.0')] ).
cnf(15156,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[72,15137]),
[iquote('0:MRR:72.1,15137.0')] ).
cnf(15158,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2419,15137]),
[iquote('0:MRR:2419.1,2419.0,15137.0')] ).
cnf(15365,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[15094,15158]),
[iquote('0:MRR:15094.0,15094.1,15158.0,15158.0')] ).
cnf(15379,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[95,15365]),
[iquote('0:MRR:95.0,15365.0')] ).
cnf(15387,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[15156,15365]),
[iquote('0:MRR:15156.0,15365.0')] ).
cnf(17788,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[15387,15379]),
[iquote('0:Res:15387.0,15379.0')] ).
cnf(19360,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[17788,15141]),
[iquote('0:Res:17788.0,15141.0')] ).
cnf(19380,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[52,19360]),
[iquote('0:MRR:52.1,52.0,19360.0')] ).
cnf(19397,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[47,19380]),
[iquote('0:MRR:47.1,47.0,19380.0')] ).
cnf(19790,plain,
eqangle(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[8980,19397]),
[iquote('0:MRR:8980.1,8980.0,19397.0')] ).
cnf(20296,plain,
$false,
inference(unc,[status(thm)],[19790,15]),
[iquote('0:UnC:19790.0,15.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO562+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n019.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 16:54:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 10.78/11.06
% 10.78/11.06 SPASS V 3.9
% 10.78/11.06 SPASS beiseite: Proof found.
% 10.78/11.06 % SZS status Theorem
% 10.78/11.06 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.78/11.06 SPASS derived 19678 clauses, backtracked 0 clauses, performed 0 splits and kept 10425 clauses.
% 10.78/11.06 SPASS allocated 98578 KBytes.
% 10.78/11.06 SPASS spent 0:0:10.65 on the problem.
% 10.78/11.06 0:00:00.04 for the input.
% 10.78/11.06 0:00:00.22 for the FLOTTER CNF translation.
% 10.78/11.06 0:00:00.38 for inferences.
% 10.78/11.06 0:00:00.00 for the backtracking.
% 10.78/11.06 0:00:09.68 for the reduction.
% 10.78/11.06
% 10.78/11.06
% 10.78/11.06 Here is a proof with depth 5, length 52 :
% 10.78/11.06 % SZS output start Refutation
% See solution above
% 10.78/11.06 Formulae used in the proof : exemplo6GDDFULL214023 ruleD8 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD22 ruleD43
% 10.78/11.06
%------------------------------------------------------------------------------