TSTP Solution File: GEO568+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO568+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 06:25:17 EDT 2022
% Result : Theorem 44.02s 44.23s
% Output : Refutation 44.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 19
% Syntax : Number of clauses : 52 ( 16 unt; 2 nHn; 52 RR)
% Number of literals : 109 ( 0 equ; 56 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 : 15 ( 15 usr; 14 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
midp(skc17,skc13,skc9),
file('GEO568+1.p',unknown),
[] ).
cnf(11,axiom,
~ perp(skc13,skc12,skc16,skc15),
file('GEO568+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO568+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO568+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO568+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO568+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO568+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ cong(u,v,u,w)
| eqangle(u,v,v,w,v,w,u,w) ),
file('GEO568+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO568+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO568+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO568+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO568+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO568+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO568+1.p',unknown),
[] ).
cnf(72,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO568+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO568+1.p',unknown),
[] ).
cnf(95,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO568+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO568+1.p',unknown),
[] ).
cnf(124,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('GEO568+1.p',unknown),
[] ).
cnf(238,plain,
midp(skc17,skc9,skc13),
inference(res,[status(thm),theory(equality)],[1,14]),
[iquote('0:Res:1.0,14.0')] ).
cnf(240,plain,
( ~ midp(skc17,u,v)
| para(u,skc13,v,skc9) ),
inference(res,[status(thm),theory(equality)],[1,41]),
[iquote('0:Res:1.0,41.1')] ).
cnf(623,plain,
( ~ cong(u,u,u,v)
| para(u,u,u,v) ),
inference(res,[status(thm),theory(equality)],[40,36]),
[iquote('0:Res:40.1,36.0')] ).
cnf(1268,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[37,60]),
[iquote('0:Res:37.1,60.0')] ).
cnf(1302,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[37,58]),
[iquote('0:Res:37.1,58.0')] ).
cnf(2382,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)],[38,124]),
[iquote('0:Res:38.1,124.3')] ).
cnf(2384,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)],[2382]),
[iquote('0:Obv:2382.0')] ).
cnf(2385,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2384]),
[iquote('0:Con:2384.2')] ).
cnf(2946,plain,
( ~ midp(skc17,u,v)
| para(u,skc13,skc9,v) ),
inference(res,[status(thm),theory(equality)],[240,18]),
[iquote('0:Res:240.1,18.0')] ).
cnf(6368,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1268,65]),
[iquote('0:Res:1268.1,65.0')] ).
cnf(6379,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1268,82]),
[iquote('0:Res:1268.1,82.1')] ).
cnf(6393,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[6379,6368]),
[iquote('0:MRR:6379.1,6368.1')] ).
cnf(6628,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1302,36]),
[iquote('0:Res:1302.1,36.0')] ).
cnf(49271,plain,
( ~ midp(skc17,skc9,skc13)
| cyclic(skc13,skc13,skc9,u) ),
inference(res,[status(thm),theory(equality)],[2946,6393]),
[iquote('0:Res:2946.1,6393.0')] ).
cnf(49283,plain,
cyclic(skc13,skc13,skc9,u),
inference(mrr,[status(thm)],[49271,238]),
[iquote('0:MRR:49271.0,238.0')] ).
cnf(49327,plain,
( ~ cyclic(skc13,skc13,skc9,skc13)
| cong(skc13,skc13,skc13,skc13) ),
inference(res,[status(thm),theory(equality)],[49283,2385]),
[iquote('0:Res:49283.0,2385.0')] ).
cnf(49388,plain,
cong(skc13,skc13,skc13,skc13),
inference(mrr,[status(thm)],[49327,49283]),
[iquote('0:MRR:49327.0,49283.0')] ).
cnf(49453,plain,
para(skc13,skc13,skc13,skc13),
inference(res,[status(thm),theory(equality)],[49388,623]),
[iquote('0:Res:49388.0,623.0')] ).
cnf(51461,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[49453,6628]),
[iquote('0:Res:49453.0,6628.0')] ).
cnf(51476,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[6393,51461]),
[iquote('0:MRR:6393.0,51461.0')] ).
cnf(55096,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[51476,98]),
[iquote('0:Res:51476.0,98.0')] ).
cnf(55097,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[51476,50]),
[iquote('0:Res:51476.0,50.0')] ).
cnf(55240,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[55097,51476]),
[iquote('0:MRR:55097.0,51476.0')] ).
cnf(55244,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[124,55240]),
[iquote('0:MRR:124.2,124.1,124.0,55240.0')] ).
cnf(55259,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[72,55240]),
[iquote('0:MRR:72.1,55240.0')] ).
cnf(55261,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2385,55240]),
[iquote('0:MRR:2385.1,2385.0,55240.0')] ).
cnf(55797,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[55096,55261]),
[iquote('0:MRR:55096.0,55096.1,55261.0,55261.0')] ).
cnf(55810,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[95,55797]),
[iquote('0:MRR:95.0,55797.0')] ).
cnf(55820,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[55259,55797]),
[iquote('0:MRR:55259.0,55797.0')] ).
cnf(60349,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[55820,55810]),
[iquote('0:Res:55820.0,55810.0')] ).
cnf(61775,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[60349,55244]),
[iquote('0:Res:60349.0,55244.0')] ).
cnf(61795,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[52,61775]),
[iquote('0:MRR:52.1,52.0,61775.0')] ).
cnf(61830,plain,
$false,
inference(unc,[status(thm)],[61795,11]),
[iquote('0:UnC:61795.0,11.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO568+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 10:38:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 44.02/44.23
% 44.02/44.23 SPASS V 3.9
% 44.02/44.23 SPASS beiseite: Proof found.
% 44.02/44.23 % SZS status Theorem
% 44.02/44.23 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 44.02/44.23 SPASS derived 60707 clauses, backtracked 0 clauses, performed 2 splits and kept 20520 clauses.
% 44.02/44.23 SPASS allocated 118320 KBytes.
% 44.02/44.23 SPASS spent 0:0:43.34 on the problem.
% 44.02/44.23 0:00:00.04 for the input.
% 44.02/44.23 0:00:00.22 for the FLOTTER CNF translation.
% 44.02/44.23 0:00:00.91 for inferences.
% 44.02/44.23 0:00:00.20 for the backtracking.
% 44.02/44.23 0:0:40.30 for the reduction.
% 44.02/44.23
% 44.02/44.23
% 44.02/44.23 Here is a proof with depth 6, length 52 :
% 44.02/44.23 % SZS output start Refutation
% See solution above
% 44.02/44.23 Formulae used in the proof : exemplo6GDDFULL214030 ruleD11 ruleD4 ruleD39 ruleD40 ruleD41 ruleD46 ruleD63 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD43
% 44.02/44.23
%------------------------------------------------------------------------------