%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO572+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 06:25:18 EDT 2022
% Result : Theorem 17.46s 17.63s
% Output : Refutation 17.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of clauses : 47 ( 15 unt; 2 nHn; 47 RR)
% Number of literals : 97 ( 0 equ; 51 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 13 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
perp(skc13,skc10,skc7,skc8),
file('GEO572+1.p',unknown),
[] ).
cnf(5,axiom,
perp(skc10,skc7,skc13,skc8),
file('GEO572+1.p',unknown),
[] ).
cnf(7,axiom,
~ para(skc13,skc8,skc10,skc9),
file('GEO572+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO572+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO572+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ perp(u,v,w,x)
| perp(u,v,x,w) ),
file('GEO572+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO572+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO572+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO572+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO572+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO572+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO572+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO572+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO572+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO572+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO572+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO572+1.p',unknown),
[] ).
cnf(120,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('GEO572+1.p',unknown),
[] ).
cnf(167,plain,
( ~ perp(u,v,skc10,skc7)
| para(u,v,skc13,skc8) ),
inference(res,[status(thm),theory(equality)],[5,43]),
[iquote('0:Res:5.0,43.1')] ).
cnf(218,plain,
( ~ perp(skc7,skc8,u,v)
| para(skc13,skc10,u,v) ),
inference(res,[status(thm),theory(equality)],[1,43]),
[iquote('0:Res:1.0,43.0')] ).
cnf(220,plain,
perp(skc7,skc8,skc13,skc10),
inference(res,[status(thm),theory(equality)],[1,17]),
[iquote('0:Res:1.0,17.0')] ).
cnf(229,plain,
~ para(skc13,skc8,skc9,skc10),
inference(res,[status(thm),theory(equality)],[14,7]),
[iquote('0:Res:14.1,7.0')] ).
cnf(366,plain,
perp(skc7,skc8,skc10,skc13),
inference(res,[status(thm),theory(equality)],[220,16]),
[iquote('0:Res:220.0,16.0')] ).
cnf(563,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[34,32]),
[iquote('0:Res:34.1,32.0')] ).
cnf(1587,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[33,56]),
[iquote('0:Res:33.1,56.0')] ).
cnf(1619,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[33,54]),
[iquote('0:Res:33.1,54.0')] ).
cnf(3427,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)],[34,120]),
[iquote('0:Res:34.1,120.3')] ).
cnf(3429,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)],[3427]),
[iquote('0:Obv:3427.0')] ).
cnf(3430,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3429]),
[iquote('0:Con:3429.2')] ).
cnf(3768,plain,
( ~ perp(skc7,skc8,u,v)
| para(skc13,skc10,v,u) ),
inference(res,[status(thm),theory(equality)],[218,14]),
[iquote('0:Res:218.1,14.0')] ).
cnf(4052,plain,
( ~ perp(u,v,skc10,skc7)
| para(skc13,skc8,u,v) ),
inference(res,[status(thm),theory(equality)],[167,15]),
[iquote('0:Res:167.1,15.0')] ).
cnf(6231,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1587,61]),
[iquote('0:Res:1587.1,61.0')] ).
cnf(6242,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1587,78]),
[iquote('0:Res:1587.1,78.1')] ).
cnf(6255,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[6242,6231]),
[iquote('0:MRR:6242.1,6231.1')] ).
cnf(6614,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1619,32]),
[iquote('0:Res:1619.1,32.0')] ).
cnf(18700,plain,
~ perp(skc9,skc10,skc10,skc7),
inference(res,[status(thm),theory(equality)],[4052,229]),
[iquote('0:Res:4052.1,229.0')] ).
cnf(19236,plain,
( ~ perp(skc7,skc8,skc10,skc13)
| cyclic(skc10,skc10,skc13,u) ),
inference(res,[status(thm),theory(equality)],[3768,6255]),
[iquote('0:Res:3768.1,6255.0')] ).
cnf(19266,plain,
cyclic(skc10,skc10,skc13,u),
inference(mrr,[status(thm)],[19236,366]),
[iquote('0:MRR:19236.0,366.0')] ).
cnf(19301,plain,
para(skc13,skc10,skc13,skc10),
inference(res,[status(thm),theory(equality)],[19266,563]),
[iquote('0:Res:19266.0,563.0')] ).
cnf(19631,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[19301,6614]),
[iquote('0:Res:19301.0,6614.0')] ).
cnf(19665,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[6255,19631]),
[iquote('0:MRR:6255.0,19631.0')] ).
cnf(20888,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[19665,94]),
[iquote('0:Res:19665.0,94.0')] ).
cnf(20889,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[19665,46]),
[iquote('0:Res:19665.0,46.0')] ).
cnf(20984,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[20889,19665]),
[iquote('0:MRR:20889.0,19665.0')] ).
cnf(21005,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3430,20984]),
[iquote('0:MRR:3430.0,3430.1,20984.0')] ).
cnf(21414,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[20888,21005]),
[iquote('0:MRR:20888.0,20888.1,21005.0,21005.0')] ).
cnf(21415,plain,
$false,
inference(unc,[status(thm)],[21414,18700]),
[iquote('0:UnC:21414.0,18700.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO572+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 15:12:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 17.46/17.63
% 17.46/17.63 SPASS V 3.9
% 17.46/17.63 SPASS beiseite: Proof found.
% 17.46/17.63 % SZS status Theorem
% 17.46/17.63 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.46/17.63 SPASS derived 20650 clauses, backtracked 1755 clauses, performed 9 splits and kept 14205 clauses.
% 17.46/17.63 SPASS allocated 102396 KBytes.
% 17.46/17.63 SPASS spent 0:0:16.98 on the problem.
% 17.46/17.63 0:00:00.04 for the input.
% 17.46/17.63 0:00:00.23 for the FLOTTER CNF translation.
% 17.46/17.63 0:00:00.55 for inferences.
% 17.46/17.63 0:00:00.55 for the backtracking.
% 17.46/17.63 0:0:15.04 for the reduction.
% 17.46/17.63
% 17.46/17.63
% 17.46/17.63 Here is a proof with depth 5, length 47 :
% 17.46/17.63 % SZS output start Refutation
% See solution above
% 17.46/17.63 Formulae used in the proof : exemplo6GDDFULL214034 ruleD4 ruleD5 ruleD7 ruleD8 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD19 ruleD21 ruleD42a ruleD42b ruleD57 ruleD43
% 17.46/17.63
%------------------------------------------------------------------------------