TSTP Solution File: GEO577+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO577+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.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 56.15s 56.40s
% Output : Refutation 56.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 26
% Syntax : Number of clauses : 70 ( 26 unt; 2 nHn; 70 RR)
% Number of literals : 141 ( 0 equ; 72 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 : 20 ( 20 usr; 19 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
circle(skc10,skc15,skc14,skc9),
file('GEO577+1.p',unknown),
[] ).
cnf(6,axiom,
~ para(skc11,skc13,skc15,skc12),
file('GEO577+1.p',unknown),
[] ).
cnf(7,axiom,
eqangle(skc12,skc9,skc9,skc15,skc12,skc9,skc9,skc14),
file('GEO577+1.p',unknown),
[] ).
cnf(9,axiom,
eqangle(skc12,skc15,skc15,skc14,skc12,skc15,skc15,skc9),
file('GEO577+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO577+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO577+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO577+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO577+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO577+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO577+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ coll(u,v,w)
| ~ cong(u,v,u,w)
| midp(u,v,w) ),
file('GEO577+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ midp(u,v,w)
| ~ perp(v,x,x,w)
| cong(v,u,x,u) ),
file('GEO577+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO577+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO577+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO577+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('GEO577+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(y,z,x1,x2,u,v,w,x) ),
file('GEO577+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('GEO577+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('GEO577+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ coll(u,v,w)
| ~ perp(x,y,y,u)
| perp(skf36(w,v,x),x,v,w) ),
file('GEO577+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('GEO577+1.p',unknown),
[] ).
cnf(88,axiom,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,w,x)
| para(y,z,x1,x2) ),
file('GEO577+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('GEO577+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('GEO577+1.p',unknown),
[] ).
cnf(116,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('GEO577+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('GEO577+1.p',unknown),
[] ).
cnf(178,plain,
( ~ perp(skc10,skc15,skc15,u)
| eqangle(skc15,u,skc15,skc14,skc9,skc15,skc9,skc14) ),
inference(res,[status(thm),theory(equality)],[3,93]),
[iquote('0:Res:3.0,93.0')] ).
cnf(201,plain,
( ~ perp(u,v,skc15,skc12)
| ~ perp(skc11,skc13,u,v) ),
inference(res,[status(thm),theory(equality)],[45,6]),
[iquote('0:Res:45.2,6.0')] ).
cnf(212,plain,
eqangle(skc12,skc15,skc15,skc9,skc12,skc15,skc15,skc14),
inference(res,[status(thm),theory(equality)],[9,57]),
[iquote('0:Res:9.0,57.0')] ).
cnf(214,plain,
( ~ eqangle(u,v,w,x,skc12,skc15,skc15,skc14)
| eqangle(u,v,w,x,skc12,skc15,skc15,skc9) ),
inference(res,[status(thm),theory(equality)],[9,116]),
[iquote('0:Res:9.0,116.1')] ).
cnf(229,plain,
eqangle(skc9,skc15,skc12,skc9,skc9,skc14,skc12,skc9),
inference(res,[status(thm),theory(equality)],[7,56]),
[iquote('0:Res:7.0,56.0')] ).
cnf(580,plain,
para(skc9,skc15,skc9,skc14),
inference(res,[status(thm),theory(equality)],[229,34]),
[iquote('0:Res:229.0,34.0')] ).
cnf(1311,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(1380,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(3534,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(3542,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)],[3534]),
[iquote('0:Obv:3534.0')] ).
cnf(3543,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3542]),
[iquote('0:Con:3542.2')] ).
cnf(4577,plain,
( ~ perp(skc10,skc15,skc15,u)
| ~ para(skc9,skc15,skc9,skc14)
| para(skc15,u,skc15,skc14) ),
inference(res,[status(thm),theory(equality)],[178,88]),
[iquote('0:Res:178.1,88.1')] ).
cnf(4581,plain,
( ~ perp(skc10,skc15,skc15,u)
| para(skc15,u,skc15,skc14) ),
inference(mrr,[status(thm)],[4577,580]),
[iquote('0:MRR:4577.1,580.0')] ).
cnf(4993,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1311,63]),
[iquote('0:Res:1311.1,63.0')] ).
cnf(4998,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1311,80]),
[iquote('0:Res:1311.1,80.1')] ).
cnf(5008,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4998,4993]),
[iquote('0:MRR:4998.1,4993.1')] ).
cnf(5327,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1380,34]),
[iquote('0:Res:1380.1,34.0')] ).
cnf(6872,plain,
eqangle(skc12,skc15,skc15,skc9,skc12,skc15,skc15,skc9),
inference(res,[status(thm),theory(equality)],[212,214]),
[iquote('0:Res:212.0,214.0')] ).
cnf(7205,plain,
eqangle(skc15,skc9,skc12,skc15,skc15,skc9,skc12,skc15),
inference(res,[status(thm),theory(equality)],[6872,56]),
[iquote('0:Res:6872.0,56.0')] ).
cnf(7519,plain,
para(skc15,skc9,skc15,skc9),
inference(res,[status(thm),theory(equality)],[7205,34]),
[iquote('0:Res:7205.0,34.0')] ).
cnf(42452,plain,
( ~ perp(skc10,skc15,skc15,u)
| coll(skc15,u,skc14) ),
inference(res,[status(thm),theory(equality)],[4581,14]),
[iquote('0:Res:4581.1,14.0')] ).
cnf(43869,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[7519,5327]),
[iquote('0:Res:7519.0,5327.0')] ).
cnf(43892,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[5008,43869]),
[iquote('0:MRR:5008.0,43869.0')] ).
cnf(45571,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[43892,96]),
[iquote('0:Res:43892.0,96.0')] ).
cnf(45572,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[43892,48]),
[iquote('0:Res:43892.0,48.0')] ).
cnf(45837,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[45572,43892]),
[iquote('0:MRR:45572.0,43892.0')] ).
cnf(45857,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3543,45837]),
[iquote('0:MRR:3543.1,3543.0,45837.0')] ).
cnf(46499,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[45571,45857]),
[iquote('0:MRR:45571.0,45571.1,45857.0,45857.0')] ).
cnf(46510,plain,
( ~ midp(u,v,w)
| cong(v,u,x,u) ),
inference(mrr,[status(thm)],[41,46499]),
[iquote('0:MRR:41.1,46499.0')] ).
cnf(46512,plain,
( ~ coll(u,v,w)
| perp(skf36(w,v,x),x,v,w) ),
inference(mrr,[status(thm)],[68,46499]),
[iquote('0:MRR:68.1,46499.0')] ).
cnf(46556,plain,
coll(skc15,u,skc14),
inference(mrr,[status(thm)],[42452,46499]),
[iquote('0:MRR:42452.0,46499.0')] ).
cnf(46743,plain,
coll(skc15,skc14,u),
inference(res,[status(thm),theory(equality)],[46556,10]),
[iquote('0:Res:46556.0,10.0')] ).
cnf(46861,plain,
( ~ coll(skc15,skc14,u)
| coll(u,v,skc15) ),
inference(res,[status(thm),theory(equality)],[46743,27]),
[iquote('0:Res:46743.0,27.0')] ).
cnf(46916,plain,
coll(u,v,skc15),
inference(mrr,[status(thm)],[46861,46743]),
[iquote('0:MRR:46861.0,46743.0')] ).
cnf(46996,plain,
coll(u,skc15,v),
inference(res,[status(thm),theory(equality)],[46916,10]),
[iquote('0:Res:46916.0,10.0')] ).
cnf(48180,plain,
( ~ coll(u,skc15,v)
| coll(v,w,u) ),
inference(res,[status(thm),theory(equality)],[46996,27]),
[iquote('0:Res:46996.0,27.0')] ).
cnf(48188,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[48180,46996]),
[iquote('0:MRR:48180.0,46996.0')] ).
cnf(48189,plain,
( ~ cong(u,v,u,w)
| midp(u,v,w) ),
inference(mrr,[status(thm)],[40,48188]),
[iquote('0:MRR:40.0,48188.0')] ).
cnf(48199,plain,
perp(skf36(u,v,w),w,v,u),
inference(mrr,[status(thm)],[46512,48188]),
[iquote('0:MRR:46512.0,48188.0')] ).
cnf(48324,plain,
~ perp(skc11,skc13,skf36(skc12,skc15,u),u),
inference(res,[status(thm),theory(equality)],[48199,201]),
[iquote('0:Res:48199.0,201.0')] ).
cnf(48938,plain,
midp(u,v,v),
inference(res,[status(thm),theory(equality)],[45857,48189]),
[iquote('0:Res:45857.0,48189.0')] ).
cnf(54769,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[48938,46510]),
[iquote('0:Res:48938.0,46510.0')] ).
cnf(54778,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[50,54769]),
[iquote('0:MRR:50.0,50.1,54769.0')] ).
cnf(54779,plain,
$false,
inference(unc,[status(thm)],[54778,48324]),
[iquote('0:UnC:54778.0,48324.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO577+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.15 % Command : run_spass %d %s
% 0.15/0.37 % Computer : n013.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Sat Jun 18 18:34:29 EDT 2022
% 0.15/0.37 % CPUTime :
% 56.15/56.40
% 56.15/56.40 SPASS V 3.9
% 56.15/56.40 SPASS beiseite: Proof found.
% 56.15/56.40 % SZS status Theorem
% 56.15/56.40 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 56.15/56.40 SPASS derived 47438 clauses, backtracked 10886 clauses, performed 4 splits and kept 32891 clauses.
% 56.15/56.40 SPASS allocated 120085 KBytes.
% 56.15/56.40 SPASS spent 0:0:55.42 on the problem.
% 56.15/56.40 0:00:00.04 for the input.
% 56.15/56.40 0:00:00.22 for the FLOTTER CNF translation.
% 56.15/56.40 0:00:00.93 for inferences.
% 56.15/56.40 0:00:01.21 for the backtracking.
% 56.15/56.40 0:0:51.65 for the reduction.
% 56.15/56.40
% 56.15/56.40
% 56.15/56.40 Here is a proof with depth 7, length 70 :
% 56.15/56.40 % SZS output start Refutation
% See solution above
% 56.15/56.40 Formulae used in the proof : exemplo6GDDFULL214039 ruleD1 ruleD66 ruleD3 ruleD39 ruleD40 ruleD41 ruleD67 ruleD52 ruleD9 ruleD17 ruleD56 ruleD19 ruleD20 ruleD21 ruleD42a ruleX15 ruleD42b ruleD73 ruleD48 ruleD57 ruleD22 ruleD43
% 56.15/56.40
%------------------------------------------------------------------------------