TSTP Solution File: GEO569+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO569+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 8.57s 8.77s
% Output : Refutation 8.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of clauses : 35 ( 12 unt; 2 nHn; 35 RR)
% Number of literals : 64 ( 0 equ; 28 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-8 aty)
% Number of functors : 14 ( 14 usr; 14 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
midp(skc12,skc14,skc15),
file('GEO569+1.p',unknown),
[] ).
cnf(8,axiom,
~ cyclic(skc10,skc14,skc13,skc11),
file('GEO569+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO569+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO569+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO569+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO569+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO569+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO569+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO569+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO569+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO569+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO569+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO569+1.p',unknown),
[] ).
cnf(79,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO569+1.p',unknown),
[] ).
cnf(255,plain,
midp(skc12,skc15,skc14),
inference(res,[status(thm),theory(equality)],[1,11]),
[iquote('0:Res:1.0,11.0')] ).
cnf(257,plain,
( ~ midp(skc12,u,v)
| para(u,skc14,v,skc15) ),
inference(res,[status(thm),theory(equality)],[1,38]),
[iquote('0:Res:1.0,38.1')] ).
cnf(664,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[35,33]),
[iquote('0:Res:35.1,33.0')] ).
cnf(1111,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[34,57]),
[iquote('0:Res:34.1,57.0')] ).
cnf(1151,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[34,55]),
[iquote('0:Res:34.1,55.0')] ).
cnf(2548,plain,
( ~ midp(skc12,u,v)
| para(u,skc14,skc15,v) ),
inference(res,[status(thm),theory(equality)],[257,15]),
[iquote('0:Res:257.1,15.0')] ).
cnf(3602,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1111,62]),
[iquote('0:Res:1111.1,62.0')] ).
cnf(3613,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1111,79]),
[iquote('0:Res:1111.1,79.1')] ).
cnf(3629,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[3613,3602]),
[iquote('0:MRR:3613.1,3602.1')] ).
cnf(3837,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1151,33]),
[iquote('0:Res:1151.1,33.0')] ).
cnf(11988,plain,
( ~ midp(skc12,skc15,skc14)
| cyclic(skc14,skc14,skc15,u) ),
inference(res,[status(thm),theory(equality)],[2548,3629]),
[iquote('0:Res:2548.1,3629.0')] ).
cnf(11996,plain,
cyclic(skc14,skc14,skc15,u),
inference(mrr,[status(thm)],[11988,255]),
[iquote('0:MRR:11988.0,255.0')] ).
cnf(12012,plain,
para(skc15,skc14,skc15,skc14),
inference(res,[status(thm),theory(equality)],[11996,664]),
[iquote('0:Res:11996.0,664.0')] ).
cnf(12048,plain,
para(skc15,skc14,skc14,skc15),
inference(res,[status(thm),theory(equality)],[12012,15]),
[iquote('0:Res:12012.0,15.0')] ).
cnf(12099,plain,
para(skc14,skc15,skc15,skc14),
inference(res,[status(thm),theory(equality)],[12048,16]),
[iquote('0:Res:12048.0,16.0')] ).
cnf(12184,plain,
para(skc14,skc15,skc14,skc15),
inference(res,[status(thm),theory(equality)],[12099,15]),
[iquote('0:Res:12099.0,15.0')] ).
cnf(12840,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[12184,3837]),
[iquote('0:Res:12184.0,3837.0')] ).
cnf(12847,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[3629,12840]),
[iquote('0:MRR:3629.0,12840.0')] ).
cnf(14340,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[12847,47]),
[iquote('0:Res:12847.0,47.0')] ).
cnf(14408,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[14340,12847]),
[iquote('0:MRR:14340.0,12847.0')] ).
cnf(14409,plain,
$false,
inference(unc,[status(thm)],[14408,8]),
[iquote('0:UnC:14408.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO569+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.14/0.33 % Computer : n023.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Sat Jun 18 17:11:49 EDT 2022
% 0.14/0.34 % CPUTime :
% 8.57/8.77
% 8.57/8.77 SPASS V 3.9
% 8.57/8.77 SPASS beiseite: Proof found.
% 8.57/8.77 % SZS status Theorem
% 8.57/8.77 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.57/8.77 SPASS derived 13697 clauses, backtracked 0 clauses, performed 0 splits and kept 9336 clauses.
% 8.57/8.77 SPASS allocated 96452 KBytes.
% 8.57/8.77 SPASS spent 0:00:08.23 on the problem.
% 8.57/8.77 0:00:00.04 for the input.
% 8.57/8.77 0:00:00.27 for the FLOTTER CNF translation.
% 8.57/8.77 0:00:00.33 for inferences.
% 8.57/8.77 0:00:00.00 for the backtracking.
% 8.57/8.77 0:00:07.17 for the reduction.
% 8.57/8.77
% 8.57/8.77
% 8.57/8.77 Here is a proof with depth 8, length 35 :
% 8.57/8.77 % SZS output start Refutation
% See solution above
% 8.57/8.77 Formulae used in the proof : exemplo6GDDFULL214031 ruleD11 ruleD4 ruleD5 ruleD39 ruleD40 ruleD41 ruleD63 ruleD17 ruleD19 ruleD21 ruleD42a ruleD42b
% 8.57/8.77
%------------------------------------------------------------------------------