TSTP Solution File: GEO628+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO628+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 06:25:36 EDT 2022
% Result : Theorem 27.91s 28.12s
% Output : Refutation 27.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of clauses : 57 ( 22 unt; 8 nHn; 57 RR)
% Number of literals : 102 ( 0 equ; 39 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(12,axiom,
perp(skc18,skc17,skc19,skc16),
file('GEO628+1.p',unknown),
[] ).
cnf(14,axiom,
~ cyclic(skc20,skc19,skc15,skc16),
file('GEO628+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO628+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,v,x,w) ),
file('GEO628+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,w,v,x) ),
file('GEO628+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO628+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO628+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO628+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO628+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO628+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO628+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO628+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO628+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO628+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO628+1.p',unknown),
[] ).
cnf(249,plain,
perp(skc19,skc16,skc18,skc17),
inference(res,[status(thm),theory(equality)],[12,24]),
[iquote('0:Res:12.0,24.0')] ).
cnf(254,plain,
( ~ perp(u,v,skc18,skc17)
| para(u,v,skc19,skc16) ),
inference(res,[status(thm),theory(equality)],[12,50]),
[iquote('0:Res:12.0,50.1')] ).
cnf(621,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[41,39]),
[iquote('0:Res:41.1,39.0')] ).
cnf(1257,plain,
( ~ para(u,v,u,v)
| coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[40,68]),
[iquote('0:Res:40.1,68.0')] ).
cnf(1358,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[40,63]),
[iquote('0:Res:40.1,63.0')] ).
cnf(1401,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[40,61]),
[iquote('0:Res:40.1,61.0')] ).
cnf(1817,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[40,85]),
[iquote('0:Res:40.1,85.1')] ).
cnf(6120,plain,
( ~ perp(skc19,skc16,skc18,skc17)
| coll(skc19,skc19,skc16)
| cyclic(skc16,u,skc19,skc19) ),
inference(res,[status(thm),theory(equality)],[254,1257]),
[iquote('0:Res:254.1,1257.0')] ).
cnf(6128,plain,
( coll(skc19,skc19,skc16)
| cyclic(skc16,u,skc19,skc19) ),
inference(mrr,[status(thm)],[6120,249]),
[iquote('0:MRR:6120.0,249.0')] ).
cnf(6133,plain,
( coll(skc19,skc19,skc16)
| cyclic(skc16,skc19,u,skc19) ),
inference(res,[status(thm),theory(equality)],[6128,26]),
[iquote('0:Res:6128.1,26.0')] ).
cnf(6134,plain,
( coll(skc19,skc19,skc16)
| cyclic(u,skc16,skc19,skc19) ),
inference(res,[status(thm),theory(equality)],[6128,27]),
[iquote('0:Res:6128.1,27.0')] ).
cnf(6135,plain,
( coll(skc19,skc19,skc16)
| para(skc19,skc16,skc19,skc16) ),
inference(res,[status(thm),theory(equality)],[6128,621]),
[iquote('0:Res:6128.1,621.0')] ).
cnf(6137,plain,
coll(skc19,skc19,skc16),
inference(spt,[spt(split,[position(s1)])],[6135]),
[iquote('1:Spt:6135.0')] ).
cnf(6148,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1358,68]),
[iquote('0:Res:1358.1,68.0')] ).
cnf(6159,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1358,85]),
[iquote('0:Res:1358.1,85.1')] ).
cnf(6175,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[6159,6148]),
[iquote('0:MRR:6159.1,6148.1')] ).
cnf(6477,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1401,39]),
[iquote('0:Res:1401.1,39.0')] ).
cnf(6769,plain,
( ~ perp(skc19,skc16,skc18,skc17)
| ~ coll(skc19,skc19,u)
| cyclic(skc16,u,skc19,skc19) ),
inference(res,[status(thm),theory(equality)],[254,1817]),
[iquote('0:Res:254.1,1817.0')] ).
cnf(6777,plain,
( ~ coll(skc19,skc19,u)
| cyclic(skc16,u,skc19,skc19) ),
inference(mrr,[status(thm)],[6769,249]),
[iquote('0:MRR:6769.0,249.0')] ).
cnf(11693,plain,
( ~ coll(skc19,skc19,u)
| para(skc19,skc16,skc19,skc16) ),
inference(res,[status(thm),theory(equality)],[6777,621]),
[iquote('0:Res:6777.1,621.0')] ).
cnf(11702,plain,
para(skc19,skc16,skc19,skc16),
inference(res,[status(thm),theory(equality)],[6137,11693]),
[iquote('1:Res:6137.0,11693.0')] ).
cnf(18427,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[11702,6477]),
[iquote('1:Res:11702.0,6477.0')] ).
cnf(18448,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[6175,18427]),
[iquote('1:MRR:6175.0,18427.0')] ).
cnf(26542,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[18448,53]),
[iquote('1:Res:18448.0,53.0')] ).
cnf(26650,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[26542,18448]),
[iquote('1:MRR:26542.0,18448.0')] ).
cnf(26651,plain,
$false,
inference(unc,[status(thm)],[26650,14]),
[iquote('1:UnC:26650.0,14.0')] ).
cnf(26652,plain,
~ coll(skc19,skc19,skc16),
inference(spt,[spt(split,[position(sa)])],[26651,6137]),
[iquote('1:Spt:26651.0,6135.0,6137.0')] ).
cnf(26653,plain,
para(skc19,skc16,skc19,skc16),
inference(spt,[spt(split,[position(s2)])],[6135]),
[iquote('1:Spt:26651.0,6135.1')] ).
cnf(26655,plain,
cyclic(skc16,skc19,u,skc19),
inference(mrr,[status(thm)],[6133,26652]),
[iquote('1:MRR:6133.0,26652.0')] ).
cnf(26656,plain,
cyclic(u,skc16,skc19,skc19),
inference(mrr,[status(thm)],[6134,26652]),
[iquote('1:MRR:6134.0,26652.0')] ).
cnf(26916,plain,
cyclic(skc16,skc19,skc19,u),
inference(res,[status(thm),theory(equality)],[26655,25]),
[iquote('1:Res:26655.0,25.0')] ).
cnf(26922,plain,
cyclic(u,skc19,skc16,skc19),
inference(res,[status(thm),theory(equality)],[26656,26]),
[iquote('1:Res:26656.0,26.0')] ).
cnf(27017,plain,
cyclic(skc19,skc16,skc19,u),
inference(res,[status(thm),theory(equality)],[26916,27]),
[iquote('1:Res:26916.0,27.0')] ).
cnf(27035,plain,
cyclic(u,skc19,skc19,skc16),
inference(res,[status(thm),theory(equality)],[26922,25]),
[iquote('1:Res:26922.0,25.0')] ).
cnf(27924,plain,
( ~ cyclic(skc19,skc16,skc19,u)
| cyclic(skc16,skc19,u,v) ),
inference(res,[status(thm),theory(equality)],[27017,53]),
[iquote('1:Res:27017.0,53.0')] ).
cnf(27928,plain,
cyclic(skc16,skc19,u,v),
inference(mrr,[status(thm)],[27924,27017]),
[iquote('1:MRR:27924.0,27017.0')] ).
cnf(27935,plain,
cyclic(skc19,u,skc19,skc16),
inference(res,[status(thm),theory(equality)],[27035,27]),
[iquote('1:Res:27035.0,27.0')] ).
cnf(28093,plain,
( ~ cyclic(skc19,u,skc19,v)
| cyclic(u,skc19,v,skc16) ),
inference(res,[status(thm),theory(equality)],[27935,53]),
[iquote('1:Res:27935.0,53.0')] ).
cnf(28259,plain,
( ~ cyclic(skc16,skc19,u,v)
| cyclic(skc19,u,v,w) ),
inference(res,[status(thm),theory(equality)],[27928,53]),
[iquote('1:Res:27928.0,53.0')] ).
cnf(28271,plain,
cyclic(skc19,u,v,w),
inference(mrr,[status(thm)],[28259,27928]),
[iquote('1:MRR:28259.0,27928.0')] ).
cnf(28272,plain,
cyclic(u,skc19,v,skc16),
inference(mrr,[status(thm)],[28093,28271]),
[iquote('1:MRR:28093.0,28271.0')] ).
cnf(28274,plain,
$false,
inference(unc,[status(thm)],[28272,14]),
[iquote('1:UnC:28272.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO628+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n005.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 23:07:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 27.91/28.12
% 27.91/28.12 SPASS V 3.9
% 27.91/28.12 SPASS beiseite: Proof found.
% 27.91/28.12 % SZS status Theorem
% 27.91/28.12 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.91/28.12 SPASS derived 27335 clauses, backtracked 10385 clauses, performed 3 splits and kept 24646 clauses.
% 27.91/28.12 SPASS allocated 109900 KBytes.
% 27.91/28.12 SPASS spent 0:0:27.20 on the problem.
% 27.91/28.12 0:00:00.04 for the input.
% 27.91/28.12 0:00:00.22 for the FLOTTER CNF translation.
% 27.91/28.12 0:00:00.46 for inferences.
% 27.91/28.12 0:00:00.49 for the backtracking.
% 27.91/28.12 0:0:25.23 for the reduction.
% 27.91/28.12
% 27.91/28.12
% 27.91/28.12 Here is a proof with depth 7, length 57 :
% 27.91/28.12 % SZS output start Refutation
% See solution above
% 27.91/28.12 Formulae used in the proof : exemplo6GDDFULL8110991 ruleD8 ruleD14 ruleD15 ruleD16 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD19 ruleD21 ruleD42a ruleD42b
% 27.91/28.12
%------------------------------------------------------------------------------