TSTP Solution File: GEO660+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO660+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 06:25:47 EDT 2022
% Result : Theorem 14.81s 15.03s
% Output : Refutation 14.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of clauses : 49 ( 17 unt; 2 nHn; 49 RR)
% Number of literals : 103 ( 0 equ; 54 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(6,axiom,
perp(skc7,skc13,skc7,skc11),
file('GEO660+1.p',unknown),
[] ).
cnf(8,axiom,
~ para(skc9,skc10,skc7,skc11),
file('GEO660+1.p',unknown),
[] ).
cnf(9,axiom,
eqangle(skc11,skc13,skc13,skc9,skc9,skc13,skc13,skc7),
file('GEO660+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO660+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO660+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO660+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO660+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO660+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO660+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('GEO660+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(y,z,x1,x2,u,v,w,x) ),
file('GEO660+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('GEO660+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('GEO660+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('GEO660+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('GEO660+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('GEO660+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('GEO660+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('GEO660+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('GEO660+1.p',unknown),
[] ).
cnf(837,plain,
( ~ perp(u,v,skc7,skc13)
| para(u,v,skc7,skc11) ),
inference(res,[status(thm),theory(equality)],[6,46]),
[iquote('0:Res:6.0,46.0')] ).
cnf(1158,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(1174,plain,
eqangle(skc9,skc13,skc13,skc7,skc11,skc13,skc13,skc9),
inference(res,[status(thm),theory(equality)],[9,58]),
[iquote('0:Res:9.0,58.0')] ).
cnf(1194,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(2770,plain,
( ~ eqangle(u,v,w,x,skc11,skc13,skc13,skc9)
| eqangle(u,v,w,x,skc9,skc13,skc13,skc7) ),
inference(res,[status(thm),theory(equality)],[9,117]),
[iquote('0:Res:9.0,117.0')] ).
cnf(3064,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(3070,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)],[3064]),
[iquote('0:Obv:3064.0')] ).
cnf(3071,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3070]),
[iquote('0:Con:3070.2')] ).
cnf(3472,plain,
~ perp(skc9,skc10,skc7,skc13),
inference(res,[status(thm),theory(equality)],[837,8]),
[iquote('0:Res:837.1,8.0')] ).
cnf(4294,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1158,64]),
[iquote('0:Res:1158.1,64.0')] ).
cnf(4305,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1158,81]),
[iquote('0:Res:1158.1,81.1')] ).
cnf(4321,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4305,4294]),
[iquote('0:MRR:4305.1,4294.1')] ).
cnf(4562,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1194,35]),
[iquote('0:Res:1194.1,35.0')] ).
cnf(5497,plain,
eqangle(skc9,skc13,skc13,skc7,skc9,skc13,skc13,skc7),
inference(res,[status(thm),theory(equality)],[1174,2770]),
[iquote('0:Res:1174.0,2770.0')] ).
cnf(6437,plain,
para(skc9,skc13,skc9,skc13),
inference(res,[status(thm),theory(equality)],[5497,35]),
[iquote('0:Res:5497.0,35.0')] ).
cnf(13175,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[6437,4562]),
[iquote('0:Res:6437.0,4562.0')] ).
cnf(13186,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4321,13175]),
[iquote('0:MRR:4321.0,13175.0')] ).
cnf(14982,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[13186,97]),
[iquote('0:Res:13186.0,97.0')] ).
cnf(14983,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[13186,49]),
[iquote('0:Res:13186.0,49.0')] ).
cnf(15172,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[14983,13186]),
[iquote('0:MRR:14983.0,13186.0')] ).
cnf(15176,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[123,15172]),
[iquote('0:MRR:123.2,123.1,123.0,15172.0')] ).
cnf(15191,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[71,15172]),
[iquote('0:MRR:71.1,15172.0')] ).
cnf(15193,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3071,15172]),
[iquote('0:MRR:3071.1,3071.0,15172.0')] ).
cnf(15526,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[14982,15193]),
[iquote('0:MRR:14982.0,14982.1,15193.0,15193.0')] ).
cnf(15542,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[94,15526]),
[iquote('0:MRR:94.0,15526.0')] ).
cnf(15575,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[15191,15526]),
[iquote('0:MRR:15191.0,15526.0')] ).
cnf(19082,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[15575,15542]),
[iquote('0:Res:15575.0,15542.0')] ).
cnf(20111,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[19082,15176]),
[iquote('0:Res:19082.0,15176.0')] ).
cnf(20131,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[51,20111]),
[iquote('0:MRR:51.1,51.0,20111.0')] ).
cnf(20151,plain,
$false,
inference(unc,[status(thm)],[20131,3472]),
[iquote('0:UnC:20131.0,3472.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO660+1 : TPTP v8.1.0. Released v7.5.0.
% 0.14/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jun 17 23:44:28 EDT 2022
% 0.14/0.34 % CPUTime :
% 14.81/15.03
% 14.81/15.03 SPASS V 3.9
% 14.81/15.03 SPASS beiseite: Proof found.
% 14.81/15.03 % SZS status Theorem
% 14.81/15.03 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.81/15.03 SPASS derived 19558 clauses, backtracked 0 clauses, performed 0 splits and kept 10931 clauses.
% 14.81/15.03 SPASS allocated 99273 KBytes.
% 14.81/15.03 SPASS spent 0:0:14.47 on the problem.
% 14.81/15.03 0:00:00.04 for the input.
% 14.81/15.03 0:00:00.23 for the FLOTTER CNF translation.
% 14.81/15.03 0:00:00.57 for inferences.
% 14.81/15.03 0:00:00.00 for the backtracking.
% 14.81/15.03 0:0:13.12 for the reduction.
% 14.81/15.03
% 14.81/15.03
% 14.81/15.03 Here is a proof with depth 4, length 49 :
% 14.81/15.03 % SZS output start Refutation
% See solution above
% 14.81/15.03 Formulae used in the proof : exemplo7Book00EE02E02319 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD56 ruleD19 ruleD20 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD22 ruleD43
% 14.81/15.03
%------------------------------------------------------------------------------