TSTP Solution File: GEO575+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO575+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 06:25:19 EDT 2022
% Result : Theorem 21.27s 21.48s
% Output : Refutation 21.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 18
% Syntax : Number of clauses : 59 ( 18 unt; 5 nHn; 59 RR)
% Number of literals : 128 ( 0 equ; 65 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 : 15 ( 15 usr; 14 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
perp(skc14,skc9,skc15,skc10),
file('GEO575+1.p',unknown),
[] ).
cnf(9,axiom,
~ cong(skc14,skc13,skc14,skc11),
file('GEO575+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO575+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO575+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO575+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO575+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO575+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO575+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO575+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO575+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO575+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO575+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO575+1.p',unknown),
[] ).
cnf(70,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO575+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO575+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO575+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO575+1.p',unknown),
[] ).
cnf(122,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('GEO575+1.p',unknown),
[] ).
cnf(237,plain,
perp(skc15,skc10,skc14,skc9),
inference(res,[status(thm),theory(equality)],[4,19]),
[iquote('0:Res:4.0,19.0')] ).
cnf(242,plain,
( ~ perp(u,v,skc14,skc9)
| para(u,v,skc15,skc10) ),
inference(res,[status(thm),theory(equality)],[4,45]),
[iquote('0:Res:4.0,45.1')] ).
cnf(590,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[36,34]),
[iquote('0:Res:36.1,34.0')] ).
cnf(1412,plain,
( ~ para(u,v,u,v)
| coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[35,63]),
[iquote('0:Res:35.1,63.0')] ).
cnf(1486,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[35,58]),
[iquote('0:Res:35.1,58.0')] ).
cnf(1518,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[35,56]),
[iquote('0:Res:35.1,56.0')] ).
cnf(1910,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[35,80]),
[iquote('0:Res:35.1,80.1')] ).
cnf(2981,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)],[36,122]),
[iquote('0:Res:36.1,122.3')] ).
cnf(2983,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)],[2981]),
[iquote('0:Obv:2981.0')] ).
cnf(2984,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2983]),
[iquote('0:Con:2983.2')] ).
cnf(5203,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1486,63]),
[iquote('0:Res:1486.1,63.0')] ).
cnf(5214,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1486,80]),
[iquote('0:Res:1486.1,80.1')] ).
cnf(5228,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[5214,5203]),
[iquote('0:MRR:5214.1,5203.1')] ).
cnf(5590,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1518,34]),
[iquote('0:Res:1518.1,34.0')] ).
cnf(5604,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)],[1518,122]),
[iquote('0:Res:1518.1,122.3')] ).
cnf(13458,plain,
( ~ perp(skc15,skc10,skc14,skc9)
| cyclic(skc10,skc10,skc15,u) ),
inference(res,[status(thm),theory(equality)],[242,5228]),
[iquote('0:Res:242.1,5228.0')] ).
cnf(13482,plain,
cyclic(skc10,skc10,skc15,u),
inference(mrr,[status(thm)],[13458,237]),
[iquote('0:MRR:13458.0,237.0')] ).
cnf(13511,plain,
para(skc15,skc10,skc15,skc10),
inference(res,[status(thm),theory(equality)],[13482,590]),
[iquote('0:Res:13482.0,590.0')] ).
cnf(13751,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[13511,5590]),
[iquote('0:Res:13511.0,5590.0')] ).
cnf(13753,plain,
( coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(mrr,[status(thm)],[1412,13751]),
[iquote('0:MRR:1412.0,13751.0')] ).
cnf(13754,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[1910,13751]),
[iquote('0:MRR:1910.0,13751.0')] ).
cnf(13756,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[5228,13751]),
[iquote('0:MRR:5228.0,13751.0')] ).
cnf(13927,plain,
( coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(res,[status(thm),theory(equality)],[13753,22]),
[iquote('0:Res:13753.1,22.0')] ).
cnf(13937,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[13927,13754]),
[iquote('0:MRR:13927.0,13754.0')] ).
cnf(13979,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)],[5604,13937]),
[iquote('0:MRR:5604.3,13937.0')] ).
cnf(15162,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[13756,96]),
[iquote('0:Res:13756.0,96.0')] ).
cnf(15163,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[13756,48]),
[iquote('0:Res:13756.0,48.0')] ).
cnf(15220,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[15163,13756]),
[iquote('0:MRR:15163.0,13756.0')] ).
cnf(15224,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[122,15220]),
[iquote('0:MRR:122.2,122.1,122.0,15220.0')] ).
cnf(15239,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[70,15220]),
[iquote('0:MRR:70.1,15220.0')] ).
cnf(15241,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2984,15220]),
[iquote('0:MRR:2984.1,2984.0,15220.0')] ).
cnf(15441,plain,
( ~ para(u,v,u,w)
| cong(x,v,x,w) ),
inference(mrr,[status(thm)],[13979,15220]),
[iquote('0:MRR:13979.2,13979.1,15220.0')] ).
cnf(15548,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[15162,15241]),
[iquote('0:MRR:15162.0,15162.1,15241.0,15241.0')] ).
cnf(15560,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[93,15548]),
[iquote('0:MRR:93.0,15548.0')] ).
cnf(15569,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[15239,15548]),
[iquote('0:MRR:15239.0,15548.0')] ).
cnf(18744,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[15569,15560]),
[iquote('0:Res:15569.0,15560.0')] ).
cnf(19697,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[18744,15224]),
[iquote('0:Res:18744.0,15224.0')] ).
cnf(19717,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[50,19697]),
[iquote('0:MRR:50.1,50.0,19697.0')] ).
cnf(20013,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[45,19717]),
[iquote('0:MRR:45.1,45.0,19717.0')] ).
cnf(21561,plain,
cong(u,v,u,w),
inference(mrr,[status(thm)],[15441,20013]),
[iquote('0:MRR:15441.0,20013.0')] ).
cnf(21776,plain,
$false,
inference(unc,[status(thm)],[21561,9]),
[iquote('0:UnC:21561.0,9.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GEO575+1 : TPTP v8.1.0. Released v7.5.0.
% 0.04/0.15 % Command : run_spass %d %s
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Fri Jun 17 18:12:13 EDT 2022
% 0.15/0.37 % CPUTime :
% 21.27/21.48
% 21.27/21.48 SPASS V 3.9
% 21.27/21.48 SPASS beiseite: Proof found.
% 21.27/21.48 % SZS status Theorem
% 21.27/21.48 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.27/21.48 SPASS derived 21662 clauses, backtracked 0 clauses, performed 6 splits and kept 12056 clauses.
% 21.27/21.48 SPASS allocated 101868 KBytes.
% 21.27/21.48 SPASS spent 0:0:20.99 on the problem.
% 21.27/21.48 0:00:00.04 for the input.
% 21.27/21.48 0:00:00.22 for the FLOTTER CNF translation.
% 21.27/21.48 0:00:00.59 for inferences.
% 21.27/21.48 0:00:00.38 for the backtracking.
% 21.27/21.48 0:0:19.13 for the reduction.
% 21.27/21.48
% 21.27/21.48
% 21.27/21.48 Here is a proof with depth 5, length 59 :
% 21.27/21.48 % SZS output start Refutation
% See solution above
% 21.27/21.48 Formulae used in the proof : exemplo6GDDFULL214037 ruleD8 ruleD16 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD43
% 21.27/21.48
%------------------------------------------------------------------------------