TSTP Solution File: GEO573+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO573+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 06:25:18 EDT 2022
% Result : Theorem 19.94s 20.11s
% Output : Refutation 19.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 22
% Syntax : Number of clauses : 67 ( 24 unt; 2 nHn; 67 RR)
% Number of literals : 137 ( 0 equ; 69 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 : 19 ( 19 usr; 18 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
coll(skc10,skc16,skc15),
file('GEO573+1.p',unknown),
[] ).
cnf(7,axiom,
perp(skc10,skc9,skc16,skc15),
file('GEO573+1.p',unknown),
[] ).
cnf(10,axiom,
~ cong(skc16,skc12,skc16,skc11),
file('GEO573+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO573+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO573+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO573+1.p',unknown),
[] ).
cnf(28,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO573+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO573+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO573+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO573+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO573+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO573+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO573+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO573+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO573+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO573+1.p',unknown),
[] ).
cnf(71,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO573+1.p',unknown),
[] ).
cnf(81,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO573+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO573+1.p',unknown),
[] ).
cnf(97,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO573+1.p',unknown),
[] ).
cnf(117,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('GEO573+1.p',unknown),
[] ).
cnf(123,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('GEO573+1.p',unknown),
[] ).
cnf(218,plain,
coll(skc10,skc15,skc16),
inference(res,[status(thm),theory(equality)],[1,11]),
[iquote('0:Res:1.0,11.0')] ).
cnf(219,plain,
coll(skc16,skc10,skc15),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.0')] ).
cnf(364,plain,
perp(skc16,skc15,skc10,skc9),
inference(res,[status(thm),theory(equality)],[7,20]),
[iquote('0:Res:7.0,20.0')] ).
cnf(425,plain,
( ~ coll(skc10,skc15,u)
| coll(u,skc16,skc10) ),
inference(res,[status(thm),theory(equality)],[218,28]),
[iquote('0:Res:218.0,28.0')] ).
cnf(430,plain,
( ~ coll(skc16,skc10,u)
| coll(u,skc15,skc16) ),
inference(res,[status(thm),theory(equality)],[219,28]),
[iquote('0:Res:219.0,28.0')] ).
cnf(554,plain,
coll(skc16,skc16,skc10),
inference(res,[status(thm),theory(equality)],[218,425]),
[iquote('0:Res:218.0,425.0')] ).
cnf(557,plain,
coll(skc16,skc10,skc16),
inference(res,[status(thm),theory(equality)],[554,11]),
[iquote('0:Res:554.0,11.0')] ).
cnf(581,plain,
coll(skc16,skc15,skc16),
inference(res,[status(thm),theory(equality)],[557,430]),
[iquote('0:Res:557.0,430.0')] ).
cnf(586,plain,
coll(skc16,skc16,skc15),
inference(res,[status(thm),theory(equality)],[581,11]),
[iquote('0:Res:581.0,11.0')] ).
cnf(611,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[37,35]),
[iquote('0:Res:37.1,35.0')] ).
cnf(807,plain,
( ~ perp(u,v,skc10,skc9)
| para(u,v,skc16,skc15) ),
inference(res,[status(thm),theory(equality)],[7,46]),
[iquote('0:Res:7.0,46.0')] ).
cnf(1208,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[36,59]),
[iquote('0:Res:36.1,59.0')] ).
cnf(1247,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[36,57]),
[iquote('0:Res:36.1,57.0')] ).
cnf(1473,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[36,81]),
[iquote('0:Res:36.1,81.1')] ).
cnf(2453,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)],[36,117]),
[iquote('0:Res:36.1,117.0')] ).
cnf(2589,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)],[37,123]),
[iquote('0:Res:37.1,123.3')] ).
cnf(2591,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)],[2589]),
[iquote('0:Obv:2589.0')] ).
cnf(2592,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2591]),
[iquote('0:Con:2591.2')] ).
cnf(4687,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1208,64]),
[iquote('0:Res:1208.1,64.0')] ).
cnf(4698,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1208,81]),
[iquote('0:Res:1208.1,81.1')] ).
cnf(4715,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4698,4687]),
[iquote('0:MRR:4698.1,4687.1')] ).
cnf(5053,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1247,35]),
[iquote('0:Res:1247.1,35.0')] ).
cnf(5464,plain,
( ~ perp(skc16,skc15,skc10,skc9)
| ~ coll(skc16,skc16,u)
| cyclic(skc15,u,skc16,skc16) ),
inference(res,[status(thm),theory(equality)],[807,1473]),
[iquote('0:Res:807.1,1473.0')] ).
cnf(5467,plain,
( ~ coll(skc16,skc16,u)
| cyclic(skc15,u,skc16,skc16) ),
inference(mrr,[status(thm)],[5464,364]),
[iquote('0:MRR:5464.0,364.0')] ).
cnf(8702,plain,
( ~ coll(skc16,skc16,u)
| para(skc16,skc15,skc16,skc15) ),
inference(res,[status(thm),theory(equality)],[5467,611]),
[iquote('0:Res:5467.1,611.0')] ).
cnf(8708,plain,
para(skc16,skc15,skc16,skc15),
inference(res,[status(thm),theory(equality)],[586,8702]),
[iquote('0:Res:586.0,8702.0')] ).
cnf(11926,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)],[1247,2453]),
[iquote('0:Res:1247.1,2453.1')] ).
cnf(15614,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[8708,5053]),
[iquote('0:Res:8708.0,5053.0')] ).
cnf(15632,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4715,15614]),
[iquote('0:MRR:4715.0,15614.0')] ).
cnf(18463,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[15632,97]),
[iquote('0:Res:15632.0,97.0')] ).
cnf(18464,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[15632,49]),
[iquote('0:Res:15632.0,49.0')] ).
cnf(18562,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[18464,15632]),
[iquote('0:MRR:18464.0,15632.0')] ).
cnf(18566,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[123,18562]),
[iquote('0:MRR:123.2,123.1,123.0,18562.0')] ).
cnf(18581,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[71,18562]),
[iquote('0:MRR:71.1,18562.0')] ).
cnf(18583,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2592,18562]),
[iquote('0:MRR:2592.1,2592.0,18562.0')] ).
cnf(18891,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[18463,18583]),
[iquote('0:MRR:18463.0,18463.1,18583.0,18583.0')] ).
cnf(18909,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[94,18891]),
[iquote('0:MRR:94.0,18891.0')] ).
cnf(18918,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[18581,18891]),
[iquote('0:MRR:18581.0,18891.0')] ).
cnf(21809,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[18918,18909]),
[iquote('0:Res:18918.0,18909.0')] ).
cnf(25257,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[21809,18566]),
[iquote('0:Res:21809.0,18566.0')] ).
cnf(25277,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[51,25257]),
[iquote('0:MRR:51.1,51.0,25257.0')] ).
cnf(27319,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[46,25277]),
[iquote('0:MRR:46.1,46.0,25277.0')] ).
cnf(27408,plain,
eqangle(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[11926,27319]),
[iquote('0:MRR:11926.1,11926.0,27319.0')] ).
cnf(27643,plain,
cong(u,v,w,x),
inference(mrr,[status(thm)],[18566,27408]),
[iquote('0:MRR:18566.0,27408.0')] ).
cnf(27696,plain,
$false,
inference(mrr,[status(thm)],[10,27643]),
[iquote('0:MRR:10.0,27643.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO573+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n017.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 06:32:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 19.94/20.11
% 19.94/20.11 SPASS V 3.9
% 19.94/20.11 SPASS beiseite: Proof found.
% 19.94/20.11 % SZS status Theorem
% 19.94/20.11 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.94/20.11 SPASS derived 26420 clauses, backtracked 2104 clauses, performed 1 splits and kept 14004 clauses.
% 19.94/20.11 SPASS allocated 104167 KBytes.
% 19.94/20.11 SPASS spent 0:0:19.66 on the problem.
% 19.94/20.11 0:00:00.04 for the input.
% 19.94/20.11 0:00:00.21 for the FLOTTER CNF translation.
% 19.94/20.11 0:00:00.43 for inferences.
% 19.94/20.11 0:00:00.00 for the backtracking.
% 19.94/20.11 0:0:18.57 for the reduction.
% 19.94/20.11
% 19.94/20.11
% 19.94/20.11 Here is a proof with depth 8, length 67 :
% 19.94/20.11 % SZS output start Refutation
% See solution above
% 19.94/20.11 Formulae used in the proof : exemplo6GDDFULL214035 ruleD1 ruleD2 ruleD8 ruleD3 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD22 ruleD43
% 19.94/20.11
%------------------------------------------------------------------------------