%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO646+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 06:25:42 EDT 2022
% Result : Theorem 42.40s 42.59s
% Output : Refutation 42.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of clauses : 48 ( 14 unt; 2 nHn; 48 RR)
% Number of literals : 104 ( 0 equ; 55 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 : 14 ( 14 usr; 13 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
midp(skc16,skc14,skc15),
file('GEO646+1.p',unknown),
[] ).
cnf(11,axiom,
~ para(skc14,skc15,skc20,skc18),
file('GEO646+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO646+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO646+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO646+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO646+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO646+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO646+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO646+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO646+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO646+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO646+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO646+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO646+1.p',unknown),
[] ).
cnf(72,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO646+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO646+1.p',unknown),
[] ).
cnf(95,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO646+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO646+1.p',unknown),
[] ).
cnf(124,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('GEO646+1.p',unknown),
[] ).
cnf(140,plain,
midp(skc16,skc15,skc14),
inference(res,[status(thm),theory(equality)],[3,14]),
[iquote('0:Res:3.0,14.0')] ).
cnf(142,plain,
( ~ midp(skc16,u,v)
| para(u,skc14,v,skc15) ),
inference(res,[status(thm),theory(equality)],[3,41]),
[iquote('0:Res:3.0,41.1')] ).
cnf(320,plain,
( ~ midp(skc16,u,v)
| para(u,skc14,skc15,v) ),
inference(res,[status(thm),theory(equality)],[142,18]),
[iquote('0:Res:142.1,18.0')] ).
cnf(1264,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[37,60]),
[iquote('0:Res:37.1,60.0')] ).
cnf(1303,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[37,58]),
[iquote('0:Res:37.1,58.0')] ).
cnf(3045,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)],[38,124]),
[iquote('0:Res:38.1,124.3')] ).
cnf(3047,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)],[3045]),
[iquote('0:Obv:3045.0')] ).
cnf(3048,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3047]),
[iquote('0:Con:3047.2')] ).
cnf(5245,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1264,65]),
[iquote('0:Res:1264.1,65.0')] ).
cnf(5256,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1264,82]),
[iquote('0:Res:1264.1,82.1')] ).
cnf(5270,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[5256,5245]),
[iquote('0:MRR:5256.1,5245.1')] ).
cnf(5508,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1303,36]),
[iquote('0:Res:1303.1,36.0')] ).
cnf(38769,plain,
( ~ midp(skc16,skc15,skc14)
| para(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[320,5508]),
[iquote('0:Res:320.1,5508.0')] ).
cnf(38776,plain,
para(u,v,u,v),
inference(mrr,[status(thm)],[38769,140]),
[iquote('0:MRR:38769.0,140.0')] ).
cnf(38780,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[5270,38776]),
[iquote('0:MRR:5270.0,38776.0')] ).
cnf(41161,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[38780,98]),
[iquote('0:Res:38780.0,98.0')] ).
cnf(41162,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[38780,50]),
[iquote('0:Res:38780.0,50.0')] ).
cnf(41233,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[41162,38780]),
[iquote('0:MRR:41162.0,38780.0')] ).
cnf(41237,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[124,41233]),
[iquote('0:MRR:124.2,124.1,124.0,41233.0')] ).
cnf(41252,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[72,41233]),
[iquote('0:MRR:72.1,41233.0')] ).
cnf(41254,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3048,41233]),
[iquote('0:MRR:3048.0,3048.1,41233.0')] ).
cnf(41575,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[41161,41254]),
[iquote('0:MRR:41161.0,41161.1,41254.0,41254.0')] ).
cnf(41581,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[95,41575]),
[iquote('0:MRR:95.0,41575.0')] ).
cnf(41638,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[41252,41575]),
[iquote('0:MRR:41252.0,41575.0')] ).
cnf(47063,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[41638,41581]),
[iquote('0:Res:41638.0,41581.0')] ).
cnf(47715,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[47063,41237]),
[iquote('0:Res:47063.0,41237.0')] ).
cnf(47729,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[52,47715]),
[iquote('0:MRR:52.1,52.0,47715.0')] ).
cnf(47751,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[47,47729]),
[iquote('0:MRR:47.1,47.0,47729.0')] ).
cnf(48793,plain,
$false,
inference(unc,[status(thm)],[47751,11]),
[iquote('0:UnC:47751.0,11.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO646+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 16:26:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 42.40/42.59
% 42.40/42.59 SPASS V 3.9
% 42.40/42.59 SPASS beiseite: Proof found.
% 42.40/42.59 % SZS status Theorem
% 42.40/42.59 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 42.40/42.59 SPASS derived 49204 clauses, backtracked 5327 clauses, performed 4 splits and kept 26581 clauses.
% 42.40/42.59 SPASS allocated 120710 KBytes.
% 42.40/42.59 SPASS spent 0:0:42.01 on the problem.
% 42.40/42.59 0:00:00.04 for the input.
% 42.40/42.59 0:00:00.27 for the FLOTTER CNF translation.
% 42.40/42.59 0:00:00.89 for inferences.
% 42.40/42.59 0:00:02.32 for the backtracking.
% 42.40/42.59 0:0:37.47 for the reduction.
% 42.40/42.59
% 42.40/42.59
% 42.40/42.59 Here is a proof with depth 3, length 48 :
% 42.40/42.59 % SZS output start Refutation
% See solution above
% 42.40/42.59 Formulae used in the proof : exemplo6GDDFULLmoreE0133 ruleD11 ruleD4 ruleD39 ruleD40 ruleD41 ruleD63 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD43
% 42.40/42.59
%------------------------------------------------------------------------------