TSTP Solution File: GEO647+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO647+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 06:25:42 EDT 2022
% Result : Theorem 17.57s 17.76s
% Output : Refutation 17.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 27
% Syntax : Number of clauses : 91 ( 33 unt; 2 nHn; 91 RR)
% Number of literals : 177 ( 0 equ; 87 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 16 ( 16 usr; 15 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
midp(skc13,skc12,skc8),
file('GEO647+1.p',unknown),
[] ).
cnf(4,axiom,
para(skc12,skc9,skc10,skc13),
file('GEO647+1.p',unknown),
[] ).
cnf(5,axiom,
para(skc12,skc8,skc10,skc9),
file('GEO647+1.p',unknown),
[] ).
cnf(6,axiom,
~ para(skc8,skc11,skc10,skc7),
file('GEO647+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ midp(u,v,w)
| cong(u,v,u,w) ),
file('GEO647+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO647+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO647+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO647+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO647+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO647+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ cong(u,v,u,w)
| eqangle(u,v,v,w,v,w,u,w) ),
file('GEO647+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ para(u,v,w,x)
| ~ para(y,z,u,v)
| para(y,z,w,x) ),
file('GEO647+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO647+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO647+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO647+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(v,u,w,x,y,z,x1,x2) ),
file('GEO647+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('GEO647+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(y,z,x1,x2,u,v,w,x) ),
file('GEO647+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('GEO647+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('GEO647+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('GEO647+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('GEO647+1.p',unknown),
[] ).
cnf(84,axiom,
( ~ perp(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,w,x)
| perp(y,z,x1,x2) ),
file('GEO647+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('GEO647+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('GEO647+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('GEO647+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('GEO647+1.p',unknown),
[] ).
cnf(186,plain,
cong(skc13,skc12,skc13,skc8),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.0')] ).
cnf(202,plain,
( ~ para(skc10,skc9,u,v)
| para(skc12,skc8,u,v) ),
inference(res,[status(thm),theory(equality)],[5,41]),
[iquote('0:Res:5.0,41.0')] ).
cnf(204,plain,
eqangle(skc12,skc8,u,v,skc10,skc9,u,v),
inference(res,[status(thm),theory(equality)],[5,32]),
[iquote('0:Res:5.0,32.0')] ).
cnf(207,plain,
( ~ para(u,v,skc12,skc8)
| para(u,v,skc10,skc9) ),
inference(res,[status(thm),theory(equality)],[5,41]),
[iquote('0:Res:5.0,41.1')] ).
cnf(215,plain,
( ~ eqangle(u,v,w,x,skc12,skc8,skc10,skc9)
| para(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[5,85]),
[iquote('0:Res:5.0,85.1')] ).
cnf(221,plain,
( ~ para(skc10,skc13,u,v)
| para(skc12,skc9,u,v) ),
inference(res,[status(thm),theory(equality)],[4,41]),
[iquote('0:Res:4.0,41.0')] ).
cnf(223,plain,
eqangle(skc12,skc9,u,v,skc10,skc13,u,v),
inference(res,[status(thm),theory(equality)],[4,32]),
[iquote('0:Res:4.0,32.0')] ).
cnf(225,plain,
para(skc10,skc13,skc12,skc9),
inference(res,[status(thm),theory(equality)],[4,14]),
[iquote('0:Res:4.0,14.0')] ).
cnf(226,plain,
( ~ para(u,v,skc12,skc9)
| para(u,v,skc10,skc13) ),
inference(res,[status(thm),theory(equality)],[4,41]),
[iquote('0:Res:4.0,41.1')] ).
cnf(234,plain,
( ~ eqangle(u,v,w,x,skc12,skc9,skc10,skc13)
| para(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[4,85]),
[iquote('0:Res:4.0,85.1')] ).
cnf(241,plain,
~ eqangle(skc8,skc11,u,v,skc10,skc7,u,v),
inference(res,[status(thm),theory(equality)],[31,6]),
[iquote('0:Res:31.1,6.0')] ).
cnf(888,plain,
( ~ para(u,v,skc10,skc13)
| para(u,v,skc12,skc9) ),
inference(res,[status(thm),theory(equality)],[225,41]),
[iquote('0:Res:225.0,41.0')] ).
cnf(1153,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(1169,plain,
eqangle(skc10,skc13,u,v,skc12,skc9,u,v),
inference(res,[status(thm),theory(equality)],[223,54]),
[iquote('0:Res:223.0,54.0')] ).
cnf(1170,plain,
eqangle(skc10,skc9,u,v,skc12,skc8,u,v),
inference(res,[status(thm),theory(equality)],[204,54]),
[iquote('0:Res:204.0,54.0')] ).
cnf(1190,plain,
eqangle(u,v,skc12,skc9,u,v,skc10,skc13),
inference(res,[status(thm),theory(equality)],[223,53]),
[iquote('0:Res:223.0,53.0')] ).
cnf(1194,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(1215,plain,
( ~ para(u,v,w,x)
| eqangle(v,u,y,z,w,x,y,z) ),
inference(res,[status(thm),theory(equality)],[32,52]),
[iquote('0:Res:32.1,52.0')] ).
cnf(1653,plain,
( ~ cong(u,v,u,w)
| ~ perp(v,w,u,w)
| perp(u,v,v,w) ),
inference(res,[status(thm),theory(equality)],[35,84]),
[iquote('0:Res:35.1,84.1')] ).
cnf(2336,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(2341,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)],[2336]),
[iquote('0:Obv:2336.0')] ).
cnf(2342,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2341]),
[iquote('0:Con:2341.2')] ).
cnf(2742,plain,
( ~ para(skc10,skc13,u,v)
| para(skc12,skc9,v,u) ),
inference(res,[status(thm),theory(equality)],[221,13]),
[iquote('0:Res:221.1,13.0')] ).
cnf(2793,plain,
( ~ para(skc10,skc9,skc12,skc9)
| para(skc12,skc8,skc10,skc13) ),
inference(res,[status(thm),theory(equality)],[202,226]),
[iquote('0:Res:202.1,226.0')] ).
cnf(3761,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1153,60]),
[iquote('0:Res:1153.1,60.0')] ).
cnf(3766,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1153,77]),
[iquote('0:Res:1153.1,77.1')] ).
cnf(3775,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[3766,3761]),
[iquote('0:MRR:3766.1,3761.1')] ).
cnf(4003,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1194,31]),
[iquote('0:Res:1194.1,31.0')] ).
cnf(4009,plain,
( ~ para(u,v,skc10,skc13)
| para(skc12,skc9,u,v) ),
inference(res,[status(thm),theory(equality)],[1194,234]),
[iquote('0:Res:1194.1,234.0')] ).
cnf(4010,plain,
( ~ para(u,v,skc10,skc9)
| para(skc12,skc8,u,v) ),
inference(res,[status(thm),theory(equality)],[1194,215]),
[iquote('0:Res:1194.1,215.0')] ).
cnf(4122,plain,
~ para(skc11,skc8,skc10,skc7),
inference(res,[status(thm),theory(equality)],[1215,241]),
[iquote('0:Res:1215.1,241.0')] ).
cnf(4803,plain,
( ~ perp(skc12,skc8,skc13,skc8)
| perp(skc13,skc12,skc12,skc8) ),
inference(res,[status(thm),theory(equality)],[186,1653]),
[iquote('0:Res:186.0,1653.0')] ).
cnf(10291,plain,
( ~ para(skc12,skc9,u,v)
| para(skc10,skc13,u,v) ),
inference(res,[status(thm),theory(equality)],[1169,85]),
[iquote('0:Res:1169.0,85.1')] ).
cnf(10393,plain,
( ~ para(skc12,skc8,u,v)
| para(skc10,skc9,u,v) ),
inference(res,[status(thm),theory(equality)],[1170,85]),
[iquote('0:Res:1170.0,85.1')] ).
cnf(10569,plain,
para(skc12,skc9,skc12,skc9),
inference(res,[status(thm),theory(equality)],[1190,234]),
[iquote('0:Res:1190.0,234.0')] ).
cnf(13332,plain,
( ~ para(skc10,skc9,skc12,skc9)
| ~ para(u,v,skc12,skc8)
| para(u,v,skc10,skc13) ),
inference(res,[status(thm),theory(equality)],[2793,41]),
[iquote('0:Res:2793.1,41.0')] ).
cnf(13431,plain,
( ~ perp(skc12,skc8,skc13,skc8)
| ~ perp(u,v,skc13,skc12)
| para(u,v,skc12,skc8) ),
inference(res,[status(thm),theory(equality)],[4803,42]),
[iquote('0:Res:4803.1,42.0')] ).
cnf(14654,plain,
( ~ para(skc10,skc13,u,v)
| ~ para(w,x,skc12,skc9)
| para(w,x,v,u) ),
inference(res,[status(thm),theory(equality)],[2742,41]),
[iquote('0:Res:2742.1,41.0')] ).
cnf(15505,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[10569,4003]),
[iquote('0:Res:10569.0,4003.0')] ).
cnf(15537,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[3775,15505]),
[iquote('0:MRR:3775.0,15505.0')] ).
cnf(17281,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[15537,93]),
[iquote('0:Res:15537.0,93.0')] ).
cnf(17282,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[15537,45]),
[iquote('0:Res:15537.0,45.0')] ).
cnf(17411,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[17282,15537]),
[iquote('0:MRR:17282.0,15537.0')] ).
cnf(17415,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[119,17411]),
[iquote('0:MRR:119.2,119.1,119.0,17411.0')] ).
cnf(17430,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[67,17411]),
[iquote('0:MRR:67.1,17411.0')] ).
cnf(17432,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2342,17411]),
[iquote('0:MRR:2342.1,2342.0,17411.0')] ).
cnf(17996,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[17281,17432]),
[iquote('0:MRR:17281.0,17281.1,17432.0,17432.0')] ).
cnf(18002,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[90,17996]),
[iquote('0:MRR:90.0,17996.0')] ).
cnf(18016,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[17430,17996]),
[iquote('0:MRR:17430.0,17996.0')] ).
cnf(20300,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[18016,18002]),
[iquote('0:Res:18016.0,18002.0')] ).
cnf(21221,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[20300,17415]),
[iquote('0:Res:20300.0,17415.0')] ).
cnf(21239,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[47,21221]),
[iquote('0:MRR:47.1,47.0,21221.0')] ).
cnf(21457,plain,
para(u,v,skc12,skc8),
inference(mrr,[status(thm)],[13431,21239]),
[iquote('0:MRR:13431.0,13431.1,21239.0')] ).
cnf(21759,plain,
para(u,v,skc10,skc9),
inference(mrr,[status(thm)],[207,21457]),
[iquote('0:MRR:207.0,21457.0')] ).
cnf(21762,plain,
( ~ para(skc10,skc9,skc12,skc9)
| para(u,v,skc10,skc13) ),
inference(mrr,[status(thm)],[13332,21457]),
[iquote('0:MRR:13332.1,21457.0')] ).
cnf(21858,plain,
para(skc12,skc8,u,v),
inference(mrr,[status(thm)],[4010,21759]),
[iquote('0:MRR:4010.0,21759.0')] ).
cnf(21913,plain,
para(skc10,skc9,u,v),
inference(mrr,[status(thm)],[10393,21858]),
[iquote('0:MRR:10393.0,21858.0')] ).
cnf(22554,plain,
para(u,v,skc10,skc13),
inference(mrr,[status(thm)],[21762,21913]),
[iquote('0:MRR:21762.0,21913.0')] ).
cnf(22555,plain,
para(u,v,skc12,skc9),
inference(mrr,[status(thm)],[888,22554]),
[iquote('0:MRR:888.0,22554.0')] ).
cnf(22556,plain,
para(skc12,skc9,u,v),
inference(mrr,[status(thm)],[4009,22554]),
[iquote('0:MRR:4009.0,22554.0')] ).
cnf(22589,plain,
( ~ para(skc10,skc13,u,v)
| para(w,x,v,u) ),
inference(mrr,[status(thm)],[14654,22555]),
[iquote('0:MRR:14654.1,22555.0')] ).
cnf(22610,plain,
para(skc10,skc13,u,v),
inference(mrr,[status(thm)],[10291,22556]),
[iquote('0:MRR:10291.0,22556.0')] ).
cnf(22689,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[22589,22610]),
[iquote('0:MRR:22589.0,22610.0')] ).
cnf(22690,plain,
$false,
inference(unc,[status(thm)],[22689,4122]),
[iquote('0:UnC:22689.0,4122.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO647+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 13:10:38 EDT 2022
% 0.13/0.35 % CPUTime :
% 17.57/17.76
% 17.57/17.76 SPASS V 3.9
% 17.57/17.76 SPASS beiseite: Proof found.
% 17.57/17.76 % SZS status Theorem
% 17.57/17.76 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.57/17.76 SPASS derived 21793 clauses, backtracked 0 clauses, performed 1 splits and kept 13402 clauses.
% 17.57/17.76 SPASS allocated 101145 KBytes.
% 17.57/17.76 SPASS spent 0:0:17.24 on the problem.
% 17.57/17.76 0:00:00.04 for the input.
% 17.57/17.76 0:00:00.26 for the FLOTTER CNF translation.
% 17.57/17.76 0:00:00.42 for inferences.
% 17.57/17.76 0:00:00.02 for the backtracking.
% 17.57/17.76 0:0:16.04 for the reduction.
% 17.57/17.76
% 17.57/17.76
% 17.57/17.76 Here is a proof with depth 4, length 91 :
% 17.57/17.76 % SZS output start Refutation
% See solution above
% 17.57/17.76 Formulae used in the proof : exemplo6GDDFULLmoreE0156 ruleD68 ruleD4 ruleD5 ruleD39 ruleD40 ruleD41 ruleD46 ruleD6 ruleD9 ruleD17 ruleD56 ruleD18 ruleD19 ruleD20 ruleD21 ruleD42a ruleX14 ruleD42b ruleD74 ruleD73 ruleD48 ruleD57 ruleD43
% 17.57/17.76
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