TSTP Solution File: GEO610+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO610+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 06:25:30 EDT 2022
% Result : Theorem 19.68s 19.85s
% Output : Refutation 19.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 26
% Syntax : Number of clauses : 70 ( 22 unt; 2 nHn; 70 RR)
% Number of literals : 153 ( 0 equ; 83 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-8 aty)
% Number of functors : 19 ( 19 usr; 18 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
coll(skc11,skc13,skc9),
file('GEO610+1.p',unknown),
[] ).
cnf(5,axiom,
perp(skc11,skc10,skc13,skc9),
file('GEO610+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO610+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ perp(u,v,w,x)
| perp(u,v,x,w) ),
file('GEO610+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO610+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO610+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO610+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO610+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO610+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ eqangle(u,v,v,w,u,x,x,y)
| skP0(y,x,w,v,u) ),
file('GEO610+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ eqangle(u,v,v,w,v,x,x,y)
| skP1(x,y,w,u,v) ),
file('GEO610+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ eqangle(u,v,v,w,x,u,u,y)
| skP2(y,x,w,v,u) ),
file('GEO610+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ eqangle(u,v,v,w,v,x,x,y)
| skP3(y,x,w,u,v) ),
file('GEO610+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO610+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO610+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO610+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('GEO610+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('GEO610+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('GEO610+1.p',unknown),
[] ).
cnf(75,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO610+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('GEO610+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO610+1.p',unknown),
[] ).
cnf(101,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO610+1.p',unknown),
[] ).
cnf(121,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| ~ eqangle(x3,x4,x5,x6,u,v,w,x)
| eqangle(x3,x4,x5,x6,y,z,x1,x2) ),
file('GEO610+1.p',unknown),
[] ).
cnf(127,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('GEO610+1.p',unknown),
[] ).
cnf(129,axiom,
( ~ eqangle(skc10,skc11,skc11,skc12,skc9,skc10,skc10,skc8)
| ~ eqangle(skc11,skc10,skc10,skc12,skc9,skc10,skc10,skc8)
| ~ skP0(skc8,skc9,skc12,skc11,skc10)
| ~ skP1(skc9,skc8,skc12,skc11,skc10)
| ~ skP2(skc8,skc9,skc12,skc11,skc10)
| ~ skP3(skc9,skc8,skc12,skc11,skc10)
| ~ eqangle(skc10,skc11,skc11,skc12,skc10,skc9,skc9,skc8) ),
file('GEO610+1.p',unknown),
[] ).
cnf(131,plain,
( ~ skP3(skc9,skc8,skc12,skc11,skc10)
| ~ skP1(skc9,skc8,skc12,skc11,skc10)
| ~ eqangle(skc10,skc11,skc11,skc12,skc10,skc9,skc9,skc8)
| ~ eqangle(skc10,skc11,skc11,skc12,skc9,skc10,skc10,skc8)
| ~ eqangle(skc11,skc10,skc10,skc12,skc9,skc10,skc10,skc8) ),
inference(mrr,[status(thm)],[129,38,42]),
[iquote('0:MRR:129.2,129.4,38.1,42.1')] ).
cnf(157,plain,
coll(skc11,skc9,skc13),
inference(res,[status(thm),theory(equality)],[1,7]),
[iquote('0:Res:1.0,7.0')] ).
cnf(207,plain,
perp(skc13,skc9,skc11,skc10),
inference(res,[status(thm),theory(equality)],[5,16]),
[iquote('0:Res:5.0,16.0')] ).
cnf(389,plain,
perp(skc13,skc9,skc10,skc11),
inference(res,[status(thm),theory(equality)],[207,15]),
[iquote('0:Res:207.0,15.0')] ).
cnf(398,plain,
perp(skc10,skc11,skc13,skc9),
inference(res,[status(thm),theory(equality)],[389,16]),
[iquote('0:Res:389.0,16.0')] ).
cnf(429,plain,
( ~ coll(skc11,skc9,u)
| coll(u,skc13,skc11) ),
inference(res,[status(thm),theory(equality)],[157,24]),
[iquote('0:Res:157.0,24.0')] ).
cnf(525,plain,
coll(skc13,skc13,skc11),
inference(res,[status(thm),theory(equality)],[157,429]),
[iquote('0:Res:157.0,429.0')] ).
cnf(619,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(983,plain,
( ~ perp(u,v,skc10,skc11)
| para(u,v,skc13,skc9) ),
inference(res,[status(thm),theory(equality)],[398,50]),
[iquote('0:Res:398.0,50.0')] ).
cnf(1397,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[32,63]),
[iquote('0:Res:32.1,63.0')] ).
cnf(1445,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[32,61]),
[iquote('0:Res:32.1,61.0')] ).
cnf(1824,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[32,85]),
[iquote('0:Res:32.1,85.1')] ).
cnf(2966,plain,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,x3,x4)
| eqangle(y,z,x1,x2,w,x,x3,x4) ),
inference(res,[status(thm),theory(equality)],[32,121]),
[iquote('0:Res:32.1,121.0')] ).
cnf(3147,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)],[33,127]),
[iquote('0:Res:33.1,127.3')] ).
cnf(3149,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)],[3147]),
[iquote('0:Obv:3147.0')] ).
cnf(3150,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3149]),
[iquote('0:Con:3149.2')] ).
cnf(5642,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1397,68]),
[iquote('0:Res:1397.1,68.0')] ).
cnf(5653,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1397,85]),
[iquote('0:Res:1397.1,85.1')] ).
cnf(5667,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[5653,5642]),
[iquote('0:MRR:5653.1,5642.1')] ).
cnf(6113,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1445,31]),
[iquote('0:Res:1445.1,31.0')] ).
cnf(6694,plain,
( ~ perp(skc13,skc9,skc10,skc11)
| ~ coll(skc13,skc13,u)
| cyclic(skc9,u,skc13,skc13) ),
inference(res,[status(thm),theory(equality)],[983,1824]),
[iquote('0:Res:983.1,1824.0')] ).
cnf(6724,plain,
( ~ coll(skc13,skc13,u)
| cyclic(skc9,u,skc13,skc13) ),
inference(mrr,[status(thm)],[6694,389]),
[iquote('0:MRR:6694.0,389.0')] ).
cnf(6737,plain,
( ~ coll(skc13,skc13,u)
| para(skc13,skc9,skc13,skc9) ),
inference(res,[status(thm),theory(equality)],[6724,619]),
[iquote('0:Res:6724.1,619.0')] ).
cnf(6739,plain,
para(skc13,skc9,skc13,skc9),
inference(res,[status(thm),theory(equality)],[525,6737]),
[iquote('0:Res:525.0,6737.0')] ).
cnf(12377,plain,
( ~ para(u,v,w,x)
| ~ para(y,z,x1,x2)
| eqangle(y,z,u,v,x1,x2,w,x) ),
inference(res,[status(thm),theory(equality)],[1445,2966]),
[iquote('0:Res:1445.1,2966.1')] ).
cnf(16498,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[6739,6113]),
[iquote('0:Res:6739.0,6113.0')] ).
cnf(16521,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[5667,16498]),
[iquote('0:MRR:5667.0,16498.0')] ).
cnf(19849,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[16521,101]),
[iquote('0:Res:16521.0,101.0')] ).
cnf(19850,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[16521,53]),
[iquote('0:Res:16521.0,53.0')] ).
cnf(19946,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[19850,16521]),
[iquote('0:MRR:19850.0,16521.0')] ).
cnf(19950,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[127,19946]),
[iquote('0:MRR:127.2,127.1,127.0,19946.0')] ).
cnf(19965,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[75,19946]),
[iquote('0:MRR:75.1,19946.0')] ).
cnf(19967,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3150,19946]),
[iquote('0:MRR:3150.1,3150.0,19946.0')] ).
cnf(20390,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[19849,19967]),
[iquote('0:MRR:19849.0,19849.1,19967.0,19967.0')] ).
cnf(20400,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[98,20390]),
[iquote('0:MRR:98.0,20390.0')] ).
cnf(20409,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[19965,20390]),
[iquote('0:MRR:19965.0,20390.0')] ).
cnf(23386,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[20409,20400]),
[iquote('0:Res:20409.0,20400.0')] ).
cnf(25830,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[23386,19950]),
[iquote('0:Res:23386.0,19950.0')] ).
cnf(25855,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[55,25830]),
[iquote('0:MRR:55.1,55.0,25830.0')] ).
cnf(25901,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[50,25855]),
[iquote('0:MRR:50.1,50.0,25855.0')] ).
cnf(27315,plain,
eqangle(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[12377,25901]),
[iquote('0:MRR:12377.1,12377.0,25901.0')] ).
cnf(29036,plain,
skP3(u,v,w,x,y),
inference(mrr,[status(thm)],[45,27315]),
[iquote('0:MRR:45.0,27315.0')] ).
cnf(29038,plain,
skP1(u,v,w,x,y),
inference(mrr,[status(thm)],[41,27315]),
[iquote('0:MRR:41.0,27315.0')] ).
cnf(29103,plain,
$false,
inference(mrr,[status(thm)],[131,29036,29038,27315]),
[iquote('0:MRR:131.0,131.1,131.2,131.3,131.4,29036.0,29038.0,27315.0,27315.0,27315.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO610+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n018.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 : Sat Jun 18 16:50:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 19.68/19.85
% 19.68/19.85 SPASS V 3.9
% 19.68/19.85 SPASS beiseite: Proof found.
% 19.68/19.85 % SZS status Theorem
% 19.68/19.85 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.68/19.85 SPASS derived 27723 clauses, backtracked 236 clauses, performed 4 splits and kept 14497 clauses.
% 19.68/19.85 SPASS allocated 105085 KBytes.
% 19.68/19.85 SPASS spent 0:0:19.42 on the problem.
% 19.68/19.85 0:00:00.04 for the input.
% 19.68/19.85 0:00:00.22 for the FLOTTER CNF translation.
% 19.68/19.85 0:00:00.38 for inferences.
% 19.68/19.85 0:00:00.23 for the backtracking.
% 19.68/19.85 0:0:18.17 for the reduction.
% 19.68/19.85
% 19.68/19.85
% 19.68/19.85 Here is a proof with depth 8, length 70 :
% 19.68/19.85 % SZS output start Refutation
% See solution above
% 19.68/19.85 Formulae used in the proof : exemplo6GDDFULL618072 ruleD1 ruleD7 ruleD8 ruleD3 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD22 ruleD43
% 19.68/19.85
%------------------------------------------------------------------------------