%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO600+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 06:25:27 EDT 2022
% Result : Theorem 20.67s 20.85s
% Output : Refutation 20.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 21
% Syntax : Number of clauses : 57 ( 20 unt; 2 nHn; 57 RR)
% Number of literals : 116 ( 0 equ; 59 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(skc31,skc30,skc27),
file('GEO600+1.p',unknown),
[] ).
cnf(15,axiom,
~ coll(skc24,skc23,skc25),
file('GEO600+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO600+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO600+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO600+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO600+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO600+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO600+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO600+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO600+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO600+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO600+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO600+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO600+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO600+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO600+1.p',unknown),
[] ).
cnf(76,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO600+1.p',unknown),
[] ).
cnf(86,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO600+1.p',unknown),
[] ).
cnf(99,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO600+1.p',unknown),
[] ).
cnf(102,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO600+1.p',unknown),
[] ).
cnf(128,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('GEO600+1.p',unknown),
[] ).
cnf(219,plain,
midp(skc31,skc27,skc30),
inference(res,[status(thm),theory(equality)],[1,18]),
[iquote('0:Res:1.0,18.0')] ).
cnf(221,plain,
( ~ midp(skc31,u,v)
| para(u,skc30,v,skc27) ),
inference(res,[status(thm),theory(equality)],[1,45]),
[iquote('0:Res:1.0,45.1')] ).
cnf(232,plain,
~ para(skc24,skc23,skc24,skc25),
inference(res,[status(thm),theory(equality)],[20,15]),
[iquote('0:Res:20.1,15.0')] ).
cnf(613,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[42,40]),
[iquote('0:Res:42.1,40.0')] ).
cnf(1293,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[41,64]),
[iquote('0:Res:41.1,64.0')] ).
cnf(1325,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[41,62]),
[iquote('0:Res:41.1,62.0')] ).
cnf(2985,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)],[42,128]),
[iquote('0:Res:42.1,128.3')] ).
cnf(2987,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)],[2985]),
[iquote('0:Obv:2985.0')] ).
cnf(2988,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2987]),
[iquote('0:Con:2987.2')] ).
cnf(3568,plain,
( ~ midp(skc31,u,v)
| para(u,skc30,skc27,v) ),
inference(res,[status(thm),theory(equality)],[221,22]),
[iquote('0:Res:221.1,22.0')] ).
cnf(4943,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1293,69]),
[iquote('0:Res:1293.1,69.0')] ).
cnf(4954,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1293,86]),
[iquote('0:Res:1293.1,86.1')] ).
cnf(4968,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4954,4943]),
[iquote('0:MRR:4954.1,4943.1')] ).
cnf(5188,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1325,40]),
[iquote('0:Res:1325.1,40.0')] ).
cnf(14648,plain,
( ~ midp(skc31,skc27,skc30)
| cyclic(skc30,skc30,skc27,u) ),
inference(res,[status(thm),theory(equality)],[3568,4968]),
[iquote('0:Res:3568.1,4968.0')] ).
cnf(14660,plain,
cyclic(skc30,skc30,skc27,u),
inference(mrr,[status(thm)],[14648,219]),
[iquote('0:MRR:14648.0,219.0')] ).
cnf(14744,plain,
para(skc27,skc30,skc27,skc30),
inference(res,[status(thm),theory(equality)],[14660,613]),
[iquote('0:Res:14660.0,613.0')] ).
cnf(14795,plain,
para(skc27,skc30,skc30,skc27),
inference(res,[status(thm),theory(equality)],[14744,22]),
[iquote('0:Res:14744.0,22.0')] ).
cnf(14868,plain,
para(skc30,skc27,skc27,skc30),
inference(res,[status(thm),theory(equality)],[14795,23]),
[iquote('0:Res:14795.0,23.0')] ).
cnf(14967,plain,
para(skc30,skc27,skc30,skc27),
inference(res,[status(thm),theory(equality)],[14868,22]),
[iquote('0:Res:14868.0,22.0')] ).
cnf(15314,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[14967,5188]),
[iquote('0:Res:14967.0,5188.0')] ).
cnf(15321,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4968,15314]),
[iquote('0:MRR:4968.0,15314.0')] ).
cnf(16874,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[15321,102]),
[iquote('0:Res:15321.0,102.0')] ).
cnf(16875,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[15321,54]),
[iquote('0:Res:15321.0,54.0')] ).
cnf(16984,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[16875,15321]),
[iquote('0:MRR:16875.0,15321.0')] ).
cnf(16988,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[128,16984]),
[iquote('0:MRR:128.2,128.1,128.0,16984.0')] ).
cnf(17003,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[76,16984]),
[iquote('0:MRR:76.1,16984.0')] ).
cnf(17005,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2988,16984]),
[iquote('0:MRR:2988.1,2988.0,16984.0')] ).
cnf(17480,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[16874,17005]),
[iquote('0:MRR:16874.0,16874.1,17005.0,17005.0')] ).
cnf(17486,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[99,17480]),
[iquote('0:MRR:99.0,17480.0')] ).
cnf(17502,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[17003,17480]),
[iquote('0:MRR:17003.0,17480.0')] ).
cnf(21233,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[17502,17486]),
[iquote('0:Res:17502.0,17486.0')] ).
cnf(22283,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[21233,16988]),
[iquote('0:Res:21233.0,16988.0')] ).
cnf(22303,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[56,22283]),
[iquote('0:MRR:56.1,56.0,22283.0')] ).
cnf(22334,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[51,22303]),
[iquote('0:MRR:51.1,51.0,22303.0')] ).
cnf(22899,plain,
$false,
inference(unc,[status(thm)],[22334,232]),
[iquote('0:UnC:22334.0,232.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO600+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 17 19:49:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 20.67/20.85
% 20.67/20.85 SPASS V 3.9
% 20.67/20.85 SPASS beiseite: Proof found.
% 20.67/20.85 % SZS status Theorem
% 20.67/20.85 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.67/20.85 SPASS derived 22051 clauses, backtracked 0 clauses, performed 2 splits and kept 13514 clauses.
% 20.67/20.85 SPASS allocated 102261 KBytes.
% 20.67/20.85 SPASS spent 0:0:20.31 on the problem.
% 20.67/20.85 0:00:00.04 for the input.
% 20.67/20.85 0:00:00.22 for the FLOTTER CNF translation.
% 20.67/20.85 0:00:00.54 for inferences.
% 20.67/20.85 0:00:00.00 for the backtracking.
% 20.67/20.85 0:0:18.97 for the reduction.
% 20.67/20.85
% 20.67/20.85
% 20.67/20.85 Here is a proof with depth 8, length 57 :
% 20.67/20.85 % SZS output start Refutation
% See solution above
% 20.67/20.85 Formulae used in the proof : exemplo6GDDFULL618062 ruleD11 ruleD66 ruleD4 ruleD5 ruleD39 ruleD40 ruleD41 ruleD63 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD43
% 20.67/20.85
%------------------------------------------------------------------------------