TSTP Solution File: GEO586+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO586+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 06:25:23 EDT 2022
% Result : Theorem 10.74s 10.96s
% Output : Refutation 10.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 23
% Syntax : Number of clauses : 66 ( 27 unt; 2 nHn; 66 RR)
% Number of literals : 127 ( 0 equ; 61 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; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
coll(skc10,skc13,skc8),
file('GEO586+1.p',unknown),
[] ).
cnf(4,axiom,
circle(skc14,skc13,skc12,skc8),
file('GEO586+1.p',unknown),
[] ).
cnf(6,axiom,
~ perp(skc11,skc10,skc8,skc9),
file('GEO586+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO586+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO586+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO586+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO586+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ circle(u,v,w,x)
| perp(skf31(u,v),v,v,u) ),
file('GEO586+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO586+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO586+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO586+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO586+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ coll(u,v,w)
| ~ cong(u,v,u,w)
| midp(u,v,w) ),
file('GEO586+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ midp(u,v,w)
| ~ perp(v,x,x,w)
| cong(v,u,x,u) ),
file('GEO586+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO586+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO586+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO586+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('GEO586+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('GEO586+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('GEO586+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('GEO586+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('GEO586+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('GEO586+1.p',unknown),
[] ).
cnf(148,plain,
( ~ coll(skc10,skc13,u)
| coll(u,skc8,skc10) ),
inference(res,[status(thm),theory(equality)],[1,24]),
[iquote('0:Res:1.0,24.1')] ).
cnf(181,plain,
perp(skf31(skc14,skc13),skc13,skc13,skc14),
inference(res,[status(thm),theory(equality)],[4,23]),
[iquote('0:Res:4.0,23.0')] ).
cnf(200,plain,
~ perp(skc8,skc9,skc11,skc10),
inference(res,[status(thm),theory(equality)],[16,6]),
[iquote('0:Res:16.1,6.0')] ).
cnf(202,plain,
coll(skc8,skc8,skc10),
inference(res,[status(thm),theory(equality)],[1,148]),
[iquote('0:Res:1.0,148.0')] ).
cnf(291,plain,
perp(skc13,skc14,skf31(skc14,skc13),skc13),
inference(res,[status(thm),theory(equality)],[181,16]),
[iquote('0:Res:181.0,16.0')] ).
cnf(385,plain,
( ~ coll(skc8,skc8,u)
| coll(u,skc10,skc8) ),
inference(res,[status(thm),theory(equality)],[202,24]),
[iquote('0:Res:202.0,24.0')] ).
cnf(476,plain,
coll(skc10,skc10,skc8),
inference(res,[status(thm),theory(equality)],[202,385]),
[iquote('0:Res:202.0,385.0')] ).
cnf(479,plain,
( ~ coll(skc10,skc10,u)
| coll(u,skc8,skc10) ),
inference(res,[status(thm),theory(equality)],[476,24]),
[iquote('0:Res:476.0,24.0')] ).
cnf(761,plain,
( ~ perp(u,v,skf31(skc14,skc13),skc13)
| para(u,v,skc13,skc14) ),
inference(res,[status(thm),theory(equality)],[181,42]),
[iquote('0:Res:181.0,42.0')] ).
cnf(1261,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(1293,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(2954,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(2956,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)],[2954]),
[iquote('0:Obv:2954.0')] ).
cnf(2957,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2956]),
[iquote('0:Con:2956.2')] ).
cnf(3883,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1261,60]),
[iquote('0:Res:1261.1,60.0')] ).
cnf(3894,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1261,77]),
[iquote('0:Res:1261.1,77.1')] ).
cnf(3908,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[3894,3883]),
[iquote('0:MRR:3894.1,3883.1')] ).
cnf(4162,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1293,31]),
[iquote('0:Res:1293.1,31.0')] ).
cnf(14770,plain,
para(skc13,skc14,skc13,skc14),
inference(res,[status(thm),theory(equality)],[291,761]),
[iquote('0:Res:291.0,761.0')] ).
cnf(14788,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[14770,4162]),
[iquote('0:Res:14770.0,4162.0')] ).
cnf(14806,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[3908,14788]),
[iquote('0:MRR:3908.0,14788.0')] ).
cnf(15232,plain,
coll(u,v,v),
inference(res,[status(thm),theory(equality)],[14788,11]),
[iquote('0:Res:14788.0,11.0')] ).
cnf(15386,plain,
coll(u,v,u),
inference(res,[status(thm),theory(equality)],[15232,8]),
[iquote('0:Res:15232.0,8.0')] ).
cnf(15505,plain,
coll(u,u,v),
inference(res,[status(thm),theory(equality)],[15386,7]),
[iquote('0:Res:15386.0,7.0')] ).
cnf(15561,plain,
coll(u,skc8,skc10),
inference(mrr,[status(thm)],[479,15505]),
[iquote('0:MRR:479.0,15505.0')] ).
cnf(15898,plain,
coll(skc8,u,skc10),
inference(res,[status(thm),theory(equality)],[15561,8]),
[iquote('0:Res:15561.0,8.0')] ).
cnf(16040,plain,
coll(skc8,skc10,u),
inference(res,[status(thm),theory(equality)],[15898,7]),
[iquote('0:Res:15898.0,7.0')] ).
cnf(16144,plain,
( ~ coll(skc8,skc10,u)
| coll(u,v,skc8) ),
inference(res,[status(thm),theory(equality)],[16040,24]),
[iquote('0:Res:16040.0,24.0')] ).
cnf(16147,plain,
coll(u,v,skc8),
inference(mrr,[status(thm)],[16144,16040]),
[iquote('0:MRR:16144.0,16040.0')] ).
cnf(16353,plain,
coll(u,skc8,v),
inference(res,[status(thm),theory(equality)],[16147,7]),
[iquote('0:Res:16147.0,7.0')] ).
cnf(16456,plain,
( ~ coll(u,skc8,v)
| coll(v,w,u) ),
inference(res,[status(thm),theory(equality)],[16353,24]),
[iquote('0:Res:16353.0,24.0')] ).
cnf(16463,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[16456,16353]),
[iquote('0:MRR:16456.0,16353.0')] ).
cnf(16464,plain,
( ~ cong(u,v,u,w)
| midp(u,v,w) ),
inference(mrr,[status(thm)],[37,16463]),
[iquote('0:MRR:37.0,16463.0')] ).
cnf(16876,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[14806,93]),
[iquote('0:Res:14806.0,93.0')] ).
cnf(16877,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[14806,45]),
[iquote('0:Res:14806.0,45.0')] ).
cnf(17216,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[16877,14806]),
[iquote('0:MRR:16877.0,14806.0')] ).
cnf(17237,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2957,17216]),
[iquote('0:MRR:2957.1,2957.0,17216.0')] ).
cnf(17417,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[16876,17237]),
[iquote('0:MRR:16876.0,16876.1,17237.0,17237.0')] ).
cnf(17418,plain,
( ~ midp(u,v,w)
| cong(v,u,x,u) ),
inference(mrr,[status(thm)],[38,17417]),
[iquote('0:MRR:38.1,17417.0')] ).
cnf(18126,plain,
midp(u,v,v),
inference(res,[status(thm),theory(equality)],[17237,16464]),
[iquote('0:Res:17237.0,16464.0')] ).
cnf(18220,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[18126,17418]),
[iquote('0:Res:18126.0,17418.0')] ).
cnf(18230,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[47,18220]),
[iquote('0:MRR:47.1,47.0,18220.0')] ).
cnf(18238,plain,
$false,
inference(unc,[status(thm)],[18230,200]),
[iquote('0:UnC:18230.0,200.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO586+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n025.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 12:11:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 10.74/10.96
% 10.74/10.96 SPASS V 3.9
% 10.74/10.96 SPASS beiseite: Proof found.
% 10.74/10.96 % SZS status Theorem
% 10.74/10.96 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.74/10.96 SPASS derived 17080 clauses, backtracked 0 clauses, performed 3 splits and kept 9830 clauses.
% 10.74/10.96 SPASS allocated 97546 KBytes.
% 10.74/10.96 SPASS spent 0:0:10.50 on the problem.
% 10.74/10.96 0:00:00.04 for the input.
% 10.74/10.96 0:00:00.23 for the FLOTTER CNF translation.
% 10.74/10.96 0:00:00.31 for inferences.
% 10.74/10.96 0:00:00.00 for the backtracking.
% 10.74/10.96 0:00:09.66 for the reduction.
% 10.74/10.96
% 10.74/10.96
% 10.74/10.96 Here is a proof with depth 10, length 66 :
% 10.74/10.96 % SZS output start Refutation
% See solution above
% 10.74/10.96 Formulae used in the proof : exemplo6GDDFULL416048 ruleD1 ruleD2 ruleD66 ruleD8 ruleX11 ruleD3 ruleD39 ruleD40 ruleD41 ruleD67 ruleD52 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleD42b ruleD57 ruleD43
% 10.74/10.96
%------------------------------------------------------------------------------