TSTP Solution File: GEO618+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO618+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 06:25:33 EDT 2022
% Result : Theorem 36.61s 36.80s
% Output : Refutation 36.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of clauses : 45 ( 16 unt; 2 nHn; 45 RR)
% Number of literals : 96 ( 0 equ; 52 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 : 18 ( 18 usr; 17 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
~ cong(skc8,skc10,skc8,skc9),
file('GEO618+1.p',unknown),
[] ).
cnf(6,axiom,
eqangle(skc9,skc10,skc10,skc7,skc9,skc10,skc10,skc6),
file('GEO618+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO618+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO618+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO618+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO618+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('GEO618+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('GEO618+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('GEO618+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('GEO618+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('GEO618+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('GEO618+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('GEO618+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('GEO618+1.p',unknown),
[] ).
cnf(113,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('GEO618+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('GEO618+1.p',unknown),
[] ).
cnf(202,plain,
( ~ cyclic(skc8,skc10,u,v)
| ~ cyclic(skc8,skc10,u,skc8)
| ~ cyclic(skc8,skc10,u,skc9)
| ~ eqangle(u,skc8,u,skc10,v,skc8,v,skc9) ),
inference(res,[status(thm),theory(equality)],[119,5]),
[iquote('0:Res:119.4,5.0')] ).
cnf(212,plain,
eqangle(skc9,skc10,skc10,skc6,skc9,skc10,skc10,skc7),
inference(res,[status(thm),theory(equality)],[6,54]),
[iquote('0:Res:6.0,54.0')] ).
cnf(214,plain,
( ~ eqangle(u,v,w,x,skc9,skc10,skc10,skc7)
| eqangle(u,v,w,x,skc9,skc10,skc10,skc6) ),
inference(res,[status(thm),theory(equality)],[6,113]),
[iquote('0:Res:6.0,113.1')] ).
cnf(1267,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(1310,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(3340,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(3346,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)],[3340]),
[iquote('0:Obv:3340.0')] ).
cnf(3347,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3346]),
[iquote('0:Con:3346.2')] ).
cnf(4029,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1267,60]),
[iquote('0:Res:1267.1,60.0')] ).
cnf(4040,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1267,77]),
[iquote('0:Res:1267.1,77.1')] ).
cnf(4054,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4040,4029]),
[iquote('0:MRR:4040.1,4029.1')] ).
cnf(4288,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1310,31]),
[iquote('0:Res:1310.1,31.0')] ).
cnf(5270,plain,
eqangle(skc9,skc10,skc10,skc6,skc9,skc10,skc10,skc6),
inference(res,[status(thm),theory(equality)],[212,214]),
[iquote('0:Res:212.0,214.0')] ).
cnf(5618,plain,
eqangle(skc10,skc6,skc9,skc10,skc10,skc6,skc9,skc10),
inference(res,[status(thm),theory(equality)],[5270,53]),
[iquote('0:Res:5270.0,53.0')] ).
cnf(5645,plain,
para(skc10,skc6,skc10,skc6),
inference(res,[status(thm),theory(equality)],[5618,31]),
[iquote('0:Res:5618.0,31.0')] ).
cnf(43546,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[5645,4288]),
[iquote('0:Res:5645.0,4288.0')] ).
cnf(43557,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4054,43546]),
[iquote('0:MRR:4054.0,43546.0')] ).
cnf(45295,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[43557,93]),
[iquote('0:Res:43557.0,93.0')] ).
cnf(45296,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[43557,45]),
[iquote('0:Res:43557.0,45.0')] ).
cnf(45430,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[45296,43557]),
[iquote('0:MRR:45296.0,43557.0')] ).
cnf(45449,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[67,45430]),
[iquote('0:MRR:67.1,45430.0')] ).
cnf(45452,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3347,45430]),
[iquote('0:MRR:3347.1,3347.0,45430.0')] ).
cnf(45455,plain,
~ eqangle(u,skc8,u,skc10,v,skc8,v,skc9),
inference(mrr,[status(thm)],[202,45430]),
[iquote('0:MRR:202.2,202.1,202.0,45430.0')] ).
cnf(45808,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[45295,45452]),
[iquote('0:MRR:45295.0,45295.1,45452.0,45452.0')] ).
cnf(45809,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[90,45808]),
[iquote('0:MRR:90.0,45808.0')] ).
cnf(45828,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[45449,45808]),
[iquote('0:MRR:45449.0,45808.0')] ).
cnf(47865,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[45828,45809]),
[iquote('0:Res:45828.0,45809.0')] ).
cnf(48670,plain,
eqangle(u,v,u,w,x,v,x,u),
inference(res,[status(thm),theory(equality)],[47865,53]),
[iquote('0:Res:47865.0,53.0')] ).
cnf(49590,plain,
$false,
inference(unc,[status(thm)],[48670,45455]),
[iquote('0:UnC:48670.0,45455.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO618+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 07:00:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 36.61/36.80
% 36.61/36.80 SPASS V 3.9
% 36.61/36.80 SPASS beiseite: Proof found.
% 36.61/36.80 % SZS status Theorem
% 36.61/36.80 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 36.61/36.80 SPASS derived 45802 clauses, backtracked 8375 clauses, performed 3 splits and kept 27920 clauses.
% 36.61/36.80 SPASS allocated 111639 KBytes.
% 36.61/36.80 SPASS spent 0:0:36.24 on the problem.
% 36.61/36.80 0:00:00.04 for the input.
% 36.61/36.80 0:00:00.25 for the FLOTTER CNF translation.
% 36.61/36.80 0:00:01.02 for inferences.
% 36.61/36.80 0:00:00.75 for the backtracking.
% 36.61/36.80 0:0:32.89 for the reduction.
% 36.61/36.80
% 36.61/36.80
% 36.61/36.80 Here is a proof with depth 5, length 45 :
% 36.61/36.80 % SZS output start Refutation
% See solution above
% 36.61/36.80 Formulae used in the proof : exemplo6GDDFULL618080 ruleD39 ruleD40 ruleD41 ruleD17 ruleD19 ruleD20 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD22 ruleD43
% 36.61/36.80
%------------------------------------------------------------------------------