TSTP Solution File: GEO565+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO565+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 06:25:16 EDT 2022
% Result : Theorem 105.51s 105.75s
% Output : Refutation 105.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 26
% Syntax : Number of clauses : 72 ( 18 unt; 5 nHn; 72 RR)
% Number of literals : 170 ( 0 equ; 94 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 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(7,axiom,
midp(skc31,skc23,skc29),
file('GEO565+1.p',unknown),
[] ).
cnf(28,axiom,
~ cong(skc20,skc21,skc20,skc22),
file('GEO565+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO565+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO565+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO565+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO565+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO565+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO565+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO565+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO565+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO565+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO565+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO565+1.p',unknown),
[] ).
cnf(74,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(v,u,w,x,y,z,x1,x2) ),
file('GEO565+1.p',unknown),
[] ).
cnf(75,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO565+1.p',unknown),
[] ).
cnf(77,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO565+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ eqratio(u,v,w,x,y,z,x1,x2)
| eqratio(v,u,w,x,y,z,x1,x2) ),
file('GEO565+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO565+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO565+1.p',unknown),
[] ).
cnf(99,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO565+1.p',unknown),
[] ).
cnf(105,axiom,
( ~ cong(u,v,w,x)
| ~ eqratio(y,z,x1,x2,u,v,w,x)
| cong(y,z,x1,x2) ),
file('GEO565+1.p',unknown),
[] ).
cnf(110,axiom,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| eqangle(u,x,w,x,w,x,w,v) ),
file('GEO565+1.p',unknown),
[] ).
cnf(112,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO565+1.p',unknown),
[] ).
cnf(115,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO565+1.p',unknown),
[] ).
cnf(126,axiom,
( ~ coll(u,v,w)
| ~ coll(u,x,y)
| ~ para(x,v,y,w)
| eqratio(u,x,x,y,u,v,v,w) ),
file('GEO565+1.p',unknown),
[] ).
cnf(141,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('GEO565+1.p',unknown),
[] ).
cnf(287,plain,
midp(skc31,skc29,skc23),
inference(res,[status(thm),theory(equality)],[7,31]),
[iquote('0:Res:7.0,31.0')] ).
cnf(289,plain,
( ~ midp(skc31,u,v)
| para(u,skc23,v,skc29) ),
inference(res,[status(thm),theory(equality)],[7,58]),
[iquote('0:Res:7.0,58.1')] ).
cnf(1655,plain,
( ~ para(u,v,u,v)
| coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[54,82]),
[iquote('0:Res:54.1,82.0')] ).
cnf(1739,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[54,77]),
[iquote('0:Res:54.1,77.0')] ).
cnf(1771,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[54,75]),
[iquote('0:Res:54.1,75.0')] ).
cnf(2284,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[54,99]),
[iquote('0:Res:54.1,99.1')] ).
cnf(2454,plain,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| eqangle(x,u,w,x,w,x,w,v) ),
inference(res,[status(thm),theory(equality)],[110,74]),
[iquote('0:Res:110.2,74.0')] ).
cnf(2809,plain,
( ~ coll(u,v,w)
| ~ coll(u,x,y)
| ~ para(x,v,y,w)
| eqratio(x,u,x,y,u,v,v,w) ),
inference(res,[status(thm),theory(equality)],[126,78]),
[iquote('0:Res:126.3,78.0')] ).
cnf(3309,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)],[55,141]),
[iquote('0:Res:55.1,141.3')] ).
cnf(3311,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)],[3309]),
[iquote('0:Obv:3309.0')] ).
cnf(3312,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3311]),
[iquote('0:Con:3311.2')] ).
cnf(4793,plain,
( ~ midp(skc31,u,v)
| para(u,skc23,skc29,v) ),
inference(res,[status(thm),theory(equality)],[289,35]),
[iquote('0:Res:289.1,35.0')] ).
cnf(10044,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1739,82]),
[iquote('0:Res:1739.1,82.0')] ).
cnf(10055,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1739,99]),
[iquote('0:Res:1739.1,99.1')] ).
cnf(10067,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[10055,10044]),
[iquote('0:MRR:10055.1,10044.1')] ).
cnf(10288,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1771,53]),
[iquote('0:Res:1771.1,53.0')] ).
cnf(17112,plain,
( ~ para(u,v,w,w)
| ~ cyclic(u,v,w,w)
| ~ cyclic(u,w,w,w)
| ~ cyclic(u,w,w,v)
| ~ cyclic(u,w,w,w)
| cong(u,w,w,v) ),
inference(res,[status(thm),theory(equality)],[2454,141]),
[iquote('0:Res:2454.2,141.3')] ).
cnf(17123,plain,
( ~ para(u,v,w,w)
| ~ cyclic(u,v,w,w)
| ~ cyclic(u,w,w,v)
| ~ cyclic(u,w,w,w)
| cong(u,w,w,v) ),
inference(obv,[status(thm),theory(equality)],[17112]),
[iquote('0:Obv:17112.2')] ).
cnf(17975,plain,
( ~ coll(u,v,w)
| ~ coll(u,x,y)
| ~ para(x,v,y,w)
| ~ cong(u,v,v,w)
| cong(x,u,x,y) ),
inference(res,[status(thm),theory(equality)],[2809,105]),
[iquote('0:Res:2809.3,105.1')] ).
cnf(42020,plain,
( ~ midp(skc31,skc29,skc23)
| para(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[4793,10288]),
[iquote('0:Res:4793.1,10288.0')] ).
cnf(42057,plain,
para(u,v,u,v),
inference(mrr,[status(thm)],[42020,287]),
[iquote('0:MRR:42020.0,287.0')] ).
cnf(42058,plain,
( coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(mrr,[status(thm)],[1655,42057]),
[iquote('0:MRR:1655.0,42057.0')] ).
cnf(42059,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[2284,42057]),
[iquote('0:MRR:2284.0,42057.0')] ).
cnf(42061,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[10067,42057]),
[iquote('0:MRR:10067.0,42057.0')] ).
cnf(42280,plain,
( coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(res,[status(thm),theory(equality)],[42058,41]),
[iquote('0:Res:42058.1,41.0')] ).
cnf(42299,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[42280,42059]),
[iquote('0:MRR:42280.0,42059.0')] ).
cnf(42331,plain,
( ~ para(u,v,w,w)
| ~ cyclic(u,w,w,v)
| cong(u,w,w,v) ),
inference(mrr,[status(thm)],[17123,42299]),
[iquote('0:MRR:17123.3,17123.1,42299.0')] ).
cnf(44306,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[42061,115]),
[iquote('0:Res:42061.0,115.0')] ).
cnf(44307,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[42061,67]),
[iquote('0:Res:42061.0,67.0')] ).
cnf(44658,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[44307,42061]),
[iquote('0:MRR:44307.0,42061.0')] ).
cnf(44662,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[141,44658]),
[iquote('0:MRR:141.2,141.1,141.0,44658.0')] ).
cnf(44677,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[89,44658]),
[iquote('0:MRR:89.1,44658.0')] ).
cnf(44679,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3312,44658]),
[iquote('0:MRR:3312.1,3312.0,44658.0')] ).
cnf(45772,plain,
( ~ para(u,v,w,w)
| cong(u,w,w,v) ),
inference(mrr,[status(thm)],[42331,44658]),
[iquote('0:MRR:42331.1,44658.0')] ).
cnf(46116,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[44306,44679]),
[iquote('0:MRR:44306.0,44306.1,44679.0,44679.0')] ).
cnf(46125,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[112,46116]),
[iquote('0:MRR:112.0,46116.0')] ).
cnf(46139,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[44677,46116]),
[iquote('0:MRR:44677.0,46116.0')] ).
cnf(52631,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[46139,46125]),
[iquote('0:Res:46139.0,46125.0')] ).
cnf(54158,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[52631,44662]),
[iquote('0:Res:52631.0,44662.0')] ).
cnf(54178,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[69,54158]),
[iquote('0:MRR:69.1,69.0,54158.0')] ).
cnf(55832,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[64,54178]),
[iquote('0:MRR:64.1,64.0,54178.0')] ).
cnf(59413,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[33,55832]),
[iquote('0:MRR:33.0,55832.0')] ).
cnf(59559,plain,
( ~ coll(u,v,w)
| ~ coll(u,x,y)
| ~ cong(u,v,v,w)
| cong(x,u,x,y) ),
inference(mrr,[status(thm)],[17975,55832]),
[iquote('0:MRR:17975.2,55832.0')] ).
cnf(59685,plain,
cong(u,v,v,w),
inference(mrr,[status(thm)],[45772,55832]),
[iquote('0:MRR:45772.0,55832.0')] ).
cnf(61843,plain,
cong(u,v,u,w),
inference(mrr,[status(thm)],[59559,59413,59685]),
[iquote('0:MRR:59559.0,59559.1,59559.2,59413.0,59413.0,59685.0')] ).
cnf(61844,plain,
$false,
inference(unc,[status(thm)],[61843,28]),
[iquote('0:UnC:61843.0,28.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO565+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sat Jun 18 11:17:12 EDT 2022
% 0.11/0.33 % CPUTime :
% 105.51/105.75
% 105.51/105.75 SPASS V 3.9
% 105.51/105.75 SPASS beiseite: Proof found.
% 105.51/105.75 % SZS status Theorem
% 105.51/105.75 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 105.51/105.75 SPASS derived 60208 clauses, backtracked 0 clauses, performed 14 splits and kept 35875 clauses.
% 105.51/105.75 SPASS allocated 128959 KBytes.
% 105.51/105.75 SPASS spent 0:1:45.06 on the problem.
% 105.51/105.75 0:00:00.04 for the input.
% 105.51/105.75 0:00:00.26 for the FLOTTER CNF translation.
% 105.51/105.75 0:00:01.66 for inferences.
% 105.51/105.75 0:00:00.58 for the backtracking.
% 105.51/105.75 0:1:39.24 for the reduction.
% 105.51/105.75
% 105.51/105.75
% 105.51/105.75 Here is a proof with depth 3, length 72 :
% 105.51/105.75 % SZS output start Refutation
% See solution above
% 105.51/105.75 Formulae used in the proof : exemplo6GDDFULL214027 ruleD11 ruleD66 ruleD4 ruleD16 ruleD39 ruleD40 ruleD41 ruleD63 ruleD9 ruleD17 ruleD56 ruleD18 ruleD19 ruleD21 ruleD26 ruleD42a ruleX14 ruleD42b ruleD75 ruleD54 ruleD48 ruleD57 ruleD65 ruleD43
% 105.51/105.75
%------------------------------------------------------------------------------