TSTP Solution File: GEO588+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO588+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 06:25:23 EDT 2022
% Result : Theorem 17.67s 17.83s
% Output : Refutation 17.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 20
% Syntax : Number of clauses : 55 ( 19 unt; 2 nHn; 55 RR)
% Number of literals : 113 ( 0 equ; 57 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(2,axiom,
midp(skc10,skc15,skc19),
file('GEO588+1.p',unknown),
[] ).
cnf(10,axiom,
~ para(skc10,skc14,skc17,skc11),
file('GEO588+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO588+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO588+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO588+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO588+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO588+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO588+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO588+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO588+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO588+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO588+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('GEO588+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('GEO588+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('GEO588+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('GEO588+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('GEO588+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('GEO588+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('GEO588+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('GEO588+1.p',unknown),
[] ).
cnf(234,plain,
midp(skc10,skc19,skc15),
inference(res,[status(thm),theory(equality)],[2,13]),
[iquote('0:Res:2.0,13.0')] ).
cnf(236,plain,
( ~ midp(skc10,u,v)
| para(u,skc15,v,skc19) ),
inference(res,[status(thm),theory(equality)],[2,40]),
[iquote('0:Res:2.0,40.1')] ).
cnf(661,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(1211,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(1243,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(2560,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(2562,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)],[2560]),
[iquote('0:Obv:2560.0')] ).
cnf(2563,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2562]),
[iquote('0:Con:2562.2')] ).
cnf(2833,plain,
( ~ midp(skc10,u,v)
| para(u,skc15,skc19,v) ),
inference(res,[status(thm),theory(equality)],[236,17]),
[iquote('0:Res:236.1,17.0')] ).
cnf(4041,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1211,64]),
[iquote('0:Res:1211.1,64.0')] ).
cnf(4052,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1211,81]),
[iquote('0:Res:1211.1,81.1')] ).
cnf(4068,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4052,4041]),
[iquote('0:MRR:4052.1,4041.1')] ).
cnf(4290,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1243,35]),
[iquote('0:Res:1243.1,35.0')] ).
cnf(13742,plain,
( ~ midp(skc10,skc19,skc15)
| cyclic(skc15,skc15,skc19,u) ),
inference(res,[status(thm),theory(equality)],[2833,4068]),
[iquote('0:Res:2833.1,4068.0')] ).
cnf(13750,plain,
cyclic(skc15,skc15,skc19,u),
inference(mrr,[status(thm)],[13742,234]),
[iquote('0:MRR:13742.0,234.0')] ).
cnf(13777,plain,
para(skc19,skc15,skc19,skc15),
inference(res,[status(thm),theory(equality)],[13750,661]),
[iquote('0:Res:13750.0,661.0')] ).
cnf(13817,plain,
para(skc19,skc15,skc15,skc19),
inference(res,[status(thm),theory(equality)],[13777,17]),
[iquote('0:Res:13777.0,17.0')] ).
cnf(13869,plain,
para(skc15,skc19,skc19,skc15),
inference(res,[status(thm),theory(equality)],[13817,18]),
[iquote('0:Res:13817.0,18.0')] ).
cnf(13989,plain,
para(skc15,skc19,skc15,skc19),
inference(res,[status(thm),theory(equality)],[13869,17]),
[iquote('0:Res:13869.0,17.0')] ).
cnf(14470,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[13989,4290]),
[iquote('0:Res:13989.0,4290.0')] ).
cnf(14477,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4068,14470]),
[iquote('0:MRR:4068.0,14470.0')] ).
cnf(16373,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[14477,97]),
[iquote('0:Res:14477.0,97.0')] ).
cnf(16374,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[14477,49]),
[iquote('0:Res:14477.0,49.0')] ).
cnf(16476,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[16374,14477]),
[iquote('0:MRR:16374.0,14477.0')] ).
cnf(16480,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[123,16476]),
[iquote('0:MRR:123.2,123.1,123.0,16476.0')] ).
cnf(16495,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[71,16476]),
[iquote('0:MRR:71.1,16476.0')] ).
cnf(16497,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2563,16476]),
[iquote('0:MRR:2563.1,2563.0,16476.0')] ).
cnf(16848,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[16373,16497]),
[iquote('0:MRR:16373.0,16373.1,16497.0,16497.0')] ).
cnf(16855,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[94,16848]),
[iquote('0:MRR:94.0,16848.0')] ).
cnf(16874,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[16495,16848]),
[iquote('0:MRR:16495.0,16848.0')] ).
cnf(21119,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[16874,16855]),
[iquote('0:Res:16874.0,16855.0')] ).
cnf(22507,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[21119,16480]),
[iquote('0:Res:21119.0,16480.0')] ).
cnf(22527,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[51,22507]),
[iquote('0:MRR:51.1,51.0,22507.0')] ).
cnf(22551,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[46,22527]),
[iquote('0:MRR:46.1,46.0,22527.0')] ).
cnf(23167,plain,
$false,
inference(unc,[status(thm)],[22551,10]),
[iquote('0:UnC:22551.0,10.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO588+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jun 17 15:10:11 EDT 2022
% 0.14/0.35 % CPUTime :
% 17.67/17.83
% 17.67/17.83 SPASS V 3.9
% 17.67/17.83 SPASS beiseite: Proof found.
% 17.67/17.83 % SZS status Theorem
% 17.67/17.83 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.67/17.83 SPASS derived 22341 clauses, backtracked 0 clauses, performed 0 splits and kept 12816 clauses.
% 17.67/17.83 SPASS allocated 101761 KBytes.
% 17.67/17.83 SPASS spent 0:0:17.31 on the problem.
% 17.67/17.83 0:00:00.04 for the input.
% 17.67/17.83 0:00:00.27 for the FLOTTER CNF translation.
% 17.67/17.83 0:00:00.46 for inferences.
% 17.67/17.83 0:00:00.00 for the backtracking.
% 17.67/17.83 0:0:16.10 for the reduction.
% 17.67/17.83
% 17.67/17.83
% 17.67/17.83 Here is a proof with depth 8, length 55 :
% 17.67/17.83 % SZS output start Refutation
% See solution above
% 17.67/17.83 Formulae used in the proof : exemplo6GDDFULL416050 ruleD11 ruleD4 ruleD5 ruleD39 ruleD40 ruleD41 ruleD63 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD43
% 17.67/17.83
%------------------------------------------------------------------------------