TSTP Solution File: GEO589+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO589+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 06:25:24 EDT 2022
% Result : Theorem 8.06s 8.24s
% Output : Refutation 8.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 21
% Syntax : Number of clauses : 59 ( 18 unt; 2 nHn; 59 RR)
% Number of literals : 121 ( 0 equ; 64 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(2,axiom,
perp(skc12,skc14,skc13,skc9),
file('GEO589+1.p',unknown),
[] ).
cnf(6,axiom,
~ para(skc13,skc10,skc12,skc14),
file('GEO589+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO589+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO589+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO589+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO589+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ perp(u,v,w,x)
| perp(u,v,x,w) ),
file('GEO589+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO589+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO589+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO589+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO589+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO589+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO589+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO589+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(v,u,w,x,y,z,x1,x2) ),
file('GEO589+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO589+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO589+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO589+1.p',unknown),
[] ).
cnf(77,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO589+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO589+1.p',unknown),
[] ).
cnf(119,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('GEO589+1.p',unknown),
[] ).
cnf(181,plain,
( ~ perp(skc13,skc9,u,v)
| para(skc12,skc14,u,v) ),
inference(res,[status(thm),theory(equality)],[2,42]),
[iquote('0:Res:2.0,42.0')] ).
cnf(183,plain,
perp(skc13,skc9,skc12,skc14),
inference(res,[status(thm),theory(equality)],[2,16]),
[iquote('0:Res:2.0,16.0')] ).
cnf(197,plain,
~ eqangle(skc13,skc10,u,v,skc12,skc14,u,v),
inference(res,[status(thm),theory(equality)],[31,6]),
[iquote('0:Res:31.1,6.0')] ).
cnf(243,plain,
( ~ perp(skc13,skc9,skc12,u)
| coll(skc12,skc14,u) ),
inference(res,[status(thm),theory(equality)],[181,11]),
[iquote('0:Res:181.1,11.0')] ).
cnf(244,plain,
coll(skc12,skc14,skc14),
inference(res,[status(thm),theory(equality)],[183,243]),
[iquote('0:Res:183.0,243.0')] ).
cnf(246,plain,
coll(skc14,skc12,skc14),
inference(res,[status(thm),theory(equality)],[244,8]),
[iquote('0:Res:244.0,8.0')] ).
cnf(247,plain,
coll(skc14,skc14,skc12),
inference(res,[status(thm),theory(equality)],[246,7]),
[iquote('0:Res:246.0,7.0')] ).
cnf(259,plain,
( ~ perp(skc13,skc9,u,v)
| para(skc12,skc14,v,u) ),
inference(res,[status(thm),theory(equality)],[181,13]),
[iquote('0:Res:181.1,13.0')] ).
cnf(306,plain,
perp(skc13,skc9,skc14,skc12),
inference(res,[status(thm),theory(equality)],[183,15]),
[iquote('0:Res:183.0,15.0')] ).
cnf(352,plain,
( ~ coll(skc14,skc14,u)
| coll(u,skc12,skc14) ),
inference(res,[status(thm),theory(equality)],[247,24]),
[iquote('0:Res:247.0,24.0')] ).
cnf(451,plain,
coll(skc12,skc12,skc14),
inference(res,[status(thm),theory(equality)],[247,352]),
[iquote('0:Res:247.0,352.0')] ).
cnf(519,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[33,31]),
[iquote('0:Res:33.1,31.0')] ).
cnf(694,plain,
( ~ perp(u,v,skc13,skc9)
| para(u,v,skc12,skc14) ),
inference(res,[status(thm),theory(equality)],[183,42]),
[iquote('0:Res:183.0,42.0')] ).
cnf(1126,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[32,55]),
[iquote('0:Res:32.1,55.0')] ).
cnf(1166,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[32,53]),
[iquote('0:Res:32.1,53.0')] ).
cnf(1186,plain,
( ~ para(u,v,w,x)
| eqangle(v,u,y,z,w,x,y,z) ),
inference(res,[status(thm),theory(equality)],[32,52]),
[iquote('0:Res:32.1,52.0')] ).
cnf(1385,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[32,77]),
[iquote('0:Res:32.1,77.1')] ).
cnf(2666,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)],[33,119]),
[iquote('0:Res:33.1,119.3')] ).
cnf(2671,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)],[2666]),
[iquote('0:Obv:2666.0')] ).
cnf(2672,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2671]),
[iquote('0:Con:2671.2')] ).
cnf(4030,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1126,60]),
[iquote('0:Res:1126.1,60.0')] ).
cnf(4035,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1126,77]),
[iquote('0:Res:1126.1,77.1')] ).
cnf(4045,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4035,4030]),
[iquote('0:MRR:4035.1,4030.1')] ).
cnf(4242,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1166,31]),
[iquote('0:Res:1166.1,31.0')] ).
cnf(4507,plain,
~ para(skc10,skc13,skc12,skc14),
inference(res,[status(thm),theory(equality)],[1186,197]),
[iquote('0:Res:1186.1,197.0')] ).
cnf(4625,plain,
~ perp(skc10,skc13,skc13,skc9),
inference(res,[status(thm),theory(equality)],[694,4507]),
[iquote('0:Res:694.1,4507.0')] ).
cnf(4774,plain,
( ~ perp(skc13,skc9,skc14,skc12)
| ~ coll(skc12,skc12,u)
| cyclic(skc14,u,skc12,skc12) ),
inference(res,[status(thm),theory(equality)],[259,1385]),
[iquote('0:Res:259.1,1385.0')] ).
cnf(4794,plain,
( ~ coll(skc12,skc12,u)
| cyclic(skc14,u,skc12,skc12) ),
inference(mrr,[status(thm)],[4774,306]),
[iquote('0:MRR:4774.0,306.0')] ).
cnf(4804,plain,
( ~ coll(skc12,skc12,u)
| para(skc12,skc14,skc12,skc14) ),
inference(res,[status(thm),theory(equality)],[4794,519]),
[iquote('0:Res:4794.1,519.0')] ).
cnf(4806,plain,
para(skc12,skc14,skc12,skc14),
inference(res,[status(thm),theory(equality)],[451,4804]),
[iquote('0:Res:451.0,4804.0')] ).
cnf(11851,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[4806,4242]),
[iquote('0:Res:4806.0,4242.0')] ).
cnf(11896,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4045,11851]),
[iquote('0:MRR:4045.0,11851.0')] ).
cnf(13605,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[11896,93]),
[iquote('0:Res:11896.0,93.0')] ).
cnf(13606,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[11896,45]),
[iquote('0:Res:11896.0,45.0')] ).
cnf(13653,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[13606,11896]),
[iquote('0:MRR:13606.0,11896.0')] ).
cnf(13673,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2672,13653]),
[iquote('0:MRR:2672.1,2672.0,13653.0')] ).
cnf(13958,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[13605,13673]),
[iquote('0:MRR:13605.0,13605.1,13673.0,13673.0')] ).
cnf(13959,plain,
$false,
inference(unc,[status(thm)],[13958,4625]),
[iquote('0:UnC:13958.0,4625.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO589+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 10:42:04 EDT 2022
% 0.14/0.34 % CPUTime :
% 8.06/8.24
% 8.06/8.24 SPASS V 3.9
% 8.06/8.24 SPASS beiseite: Proof found.
% 8.06/8.24 % SZS status Theorem
% 8.06/8.24 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.06/8.24 SPASS derived 13093 clauses, backtracked 0 clauses, performed 4 splits and kept 8204 clauses.
% 8.06/8.24 SPASS allocated 96782 KBytes.
% 8.06/8.24 SPASS spent 0:00:07.76 on the problem.
% 8.06/8.24 0:00:00.04 for the input.
% 8.06/8.24 0:00:00.24 for the FLOTTER CNF translation.
% 8.06/8.24 0:00:00.27 for inferences.
% 8.06/8.24 0:00:00.25 for the backtracking.
% 8.06/8.24 0:00:06.72 for the reduction.
% 8.06/8.24
% 8.06/8.24
% 8.06/8.24 Here is a proof with depth 9, length 59 :
% 8.06/8.24 % SZS output start Refutation
% See solution above
% 8.06/8.24 Formulae used in the proof : exemplo6GDDFULL416051 ruleD1 ruleD2 ruleD66 ruleD4 ruleD7 ruleD8 ruleD3 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD18 ruleD19 ruleD21 ruleD42a ruleD42b ruleD57 ruleD43
% 8.06/8.24
%------------------------------------------------------------------------------