TSTP Solution File: GEO576+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO576+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 06:25:19 EDT 2022
% Result : Theorem 20.73s 20.90s
% Output : Refutation 20.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 23
% Syntax : Number of clauses : 75 ( 29 unt; 2 nHn; 75 RR)
% Number of literals : 148 ( 0 equ; 72 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 20 ( 20 usr; 19 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
coll(skc13,skc12,skc11),
file('GEO576+1.p',unknown),
[] ).
cnf(2,axiom,
coll(skc11,skc8,skc9),
file('GEO576+1.p',unknown),
[] ).
cnf(6,axiom,
perp(skc12,skc9,skc13,skc10),
file('GEO576+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO576+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO576+1.p',unknown),
[] ).
cnf(12,axiom,
~ eqangle(skc14,skc12,skc12,skc11,skc9,skc12,skc12,skc10),
file('GEO576+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO576+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO576+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO576+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO576+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO576+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO576+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO576+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO576+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO576+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO576+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO576+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO576+1.p',unknown),
[] ).
cnf(79,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO576+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO576+1.p',unknown),
[] ).
cnf(95,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO576+1.p',unknown),
[] ).
cnf(115,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('GEO576+1.p',unknown),
[] ).
cnf(121,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('GEO576+1.p',unknown),
[] ).
cnf(146,plain,
( ~ coll(skc11,skc8,u)
| coll(skc9,u,skc11) ),
inference(res,[status(thm),theory(equality)],[2,26]),
[iquote('0:Res:2.0,26.0')] ).
cnf(169,plain,
( ~ coll(skc13,skc12,u)
| coll(skc11,u,skc13) ),
inference(res,[status(thm),theory(equality)],[1,26]),
[iquote('0:Res:1.0,26.0')] ).
cnf(220,plain,
perp(skc13,skc10,skc12,skc9),
inference(res,[status(thm),theory(equality)],[6,18]),
[iquote('0:Res:6.0,18.0')] ).
cnf(225,plain,
( ~ perp(u,v,skc12,skc9)
| para(u,v,skc13,skc10) ),
inference(res,[status(thm),theory(equality)],[6,44]),
[iquote('0:Res:6.0,44.1')] ).
cnf(251,plain,
coll(skc11,skc11,skc13),
inference(res,[status(thm),theory(equality)],[1,169]),
[iquote('0:Res:1.0,169.0')] ).
cnf(252,plain,
coll(skc9,skc9,skc11),
inference(res,[status(thm),theory(equality)],[2,146]),
[iquote('0:Res:2.0,146.0')] ).
cnf(415,plain,
( ~ coll(skc9,skc9,u)
| coll(u,skc11,skc9) ),
inference(res,[status(thm),theory(equality)],[252,26]),
[iquote('0:Res:252.0,26.0')] ).
cnf(421,plain,
( ~ coll(skc11,skc11,u)
| coll(u,skc13,skc11) ),
inference(res,[status(thm),theory(equality)],[251,26]),
[iquote('0:Res:251.0,26.0')] ).
cnf(479,plain,
coll(skc11,skc11,skc9),
inference(res,[status(thm),theory(equality)],[252,415]),
[iquote('0:Res:252.0,415.0')] ).
cnf(592,plain,
coll(skc13,skc13,skc11),
inference(res,[status(thm),theory(equality)],[251,421]),
[iquote('0:Res:251.0,421.0')] ).
cnf(593,plain,
coll(skc9,skc13,skc11),
inference(res,[status(thm),theory(equality)],[479,421]),
[iquote('0:Res:479.0,421.0')] ).
cnf(597,plain,
coll(skc13,skc11,skc13),
inference(res,[status(thm),theory(equality)],[592,8]),
[iquote('0:Res:592.0,8.0')] ).
cnf(601,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[35,33]),
[iquote('0:Res:35.1,33.0')] ).
cnf(604,plain,
coll(skc13,skc9,skc11),
inference(res,[status(thm),theory(equality)],[593,9]),
[iquote('0:Res:593.0,9.0')] ).
cnf(608,plain,
( ~ coll(skc13,skc11,u)
| coll(u,skc13,skc13) ),
inference(res,[status(thm),theory(equality)],[597,26]),
[iquote('0:Res:597.0,26.0')] ).
cnf(643,plain,
coll(skc13,skc11,skc9),
inference(res,[status(thm),theory(equality)],[604,8]),
[iquote('0:Res:604.0,8.0')] ).
cnf(1175,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[34,57]),
[iquote('0:Res:34.1,57.0')] ).
cnf(1213,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[34,55]),
[iquote('0:Res:34.1,55.0')] ).
cnf(1532,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[34,79]),
[iquote('0:Res:34.1,79.1')] ).
cnf(2017,plain,
coll(skc9,skc13,skc13),
inference(res,[status(thm),theory(equality)],[643,608]),
[iquote('0:Res:643.0,608.0')] ).
cnf(2023,plain,
coll(skc13,skc9,skc13),
inference(res,[status(thm),theory(equality)],[2017,9]),
[iquote('0:Res:2017.0,9.0')] ).
cnf(2043,plain,
coll(skc13,skc13,skc9),
inference(res,[status(thm),theory(equality)],[2023,8]),
[iquote('0:Res:2023.0,8.0')] ).
cnf(2539,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)],[34,115]),
[iquote('0:Res:34.1,115.0')] ).
cnf(2694,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)],[35,121]),
[iquote('0:Res:35.1,121.3')] ).
cnf(2696,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)],[2694]),
[iquote('0:Obv:2694.0')] ).
cnf(2697,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2696]),
[iquote('0:Con:2696.2')] ).
cnf(4523,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1175,62]),
[iquote('0:Res:1175.1,62.0')] ).
cnf(4534,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1175,79]),
[iquote('0:Res:1175.1,79.1')] ).
cnf(4549,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4534,4523]),
[iquote('0:MRR:4534.1,4523.1')] ).
cnf(4876,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1213,33]),
[iquote('0:Res:1213.1,33.0')] ).
cnf(5511,plain,
( ~ perp(skc13,skc10,skc12,skc9)
| ~ coll(skc13,skc13,u)
| cyclic(skc10,u,skc13,skc13) ),
inference(res,[status(thm),theory(equality)],[225,1532]),
[iquote('0:Res:225.1,1532.0')] ).
cnf(5521,plain,
( ~ coll(skc13,skc13,u)
| cyclic(skc10,u,skc13,skc13) ),
inference(mrr,[status(thm)],[5511,220]),
[iquote('0:MRR:5511.0,220.0')] ).
cnf(5530,plain,
( ~ coll(skc13,skc13,u)
| para(skc13,skc10,skc13,skc10) ),
inference(res,[status(thm),theory(equality)],[5521,601]),
[iquote('0:Res:5521.1,601.0')] ).
cnf(5532,plain,
para(skc13,skc10,skc13,skc10),
inference(res,[status(thm),theory(equality)],[2043,5530]),
[iquote('0:Res:2043.0,5530.0')] ).
cnf(12074,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)],[1213,2539]),
[iquote('0:Res:1213.1,2539.1')] ).
cnf(16655,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[5532,4876]),
[iquote('0:Res:5532.0,4876.0')] ).
cnf(16696,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4549,16655]),
[iquote('0:MRR:4549.0,16655.0')] ).
cnf(19092,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[16696,95]),
[iquote('0:Res:16696.0,95.0')] ).
cnf(19093,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[16696,47]),
[iquote('0:Res:16696.0,47.0')] ).
cnf(19195,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[19093,16696]),
[iquote('0:MRR:19093.0,16696.0')] ).
cnf(19199,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[121,19195]),
[iquote('0:MRR:121.2,121.1,121.0,19195.0')] ).
cnf(19214,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[69,19195]),
[iquote('0:MRR:69.1,19195.0')] ).
cnf(19216,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2697,19195]),
[iquote('0:MRR:2697.1,2697.0,19195.0')] ).
cnf(19659,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[19092,19216]),
[iquote('0:MRR:19092.0,19092.1,19216.0,19216.0')] ).
cnf(19673,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[92,19659]),
[iquote('0:MRR:92.0,19659.0')] ).
cnf(19682,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[19214,19659]),
[iquote('0:MRR:19214.0,19659.0')] ).
cnf(22462,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[19682,19673]),
[iquote('0:Res:19682.0,19673.0')] ).
cnf(25123,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[22462,19199]),
[iquote('0:Res:22462.0,19199.0')] ).
cnf(25143,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[49,25123]),
[iquote('0:MRR:49.1,49.0,25123.0')] ).
cnf(25220,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[44,25143]),
[iquote('0:MRR:44.1,44.0,25143.0')] ).
cnf(26461,plain,
eqangle(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[12074,25220]),
[iquote('0:MRR:12074.1,12074.0,25220.0')] ).
cnf(28133,plain,
$false,
inference(mrr,[status(thm)],[12,26461]),
[iquote('0:MRR:12.0,26461.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO576+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.12 % 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 : Fri Jun 17 17:12:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 20.73/20.90
% 20.73/20.90 SPASS V 3.9
% 20.73/20.90 SPASS beiseite: Proof found.
% 20.73/20.90 % SZS status Theorem
% 20.73/20.90 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.73/20.90 SPASS derived 26697 clauses, backtracked 1143 clauses, performed 3 splits and kept 14067 clauses.
% 20.73/20.90 SPASS allocated 104735 KBytes.
% 20.73/20.90 SPASS spent 0:0:20.46 on the problem.
% 20.73/20.90 0:00:00.04 for the input.
% 20.73/20.90 0:00:00.21 for the FLOTTER CNF translation.
% 20.73/20.90 0:00:00.38 for inferences.
% 20.73/20.90 0:00:00.01 for the backtracking.
% 20.73/20.90 0:0:19.44 for the reduction.
% 20.73/20.90
% 20.73/20.90
% 20.73/20.90 Here is a proof with depth 12, length 75 :
% 20.73/20.90 % SZS output start Refutation
% See solution above
% 20.73/20.90 Formulae used in the proof : exemplo6GDDFULL214038 ruleD1 ruleD2 ruleD8 ruleD3 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD22 ruleD43
% 20.73/20.90
%------------------------------------------------------------------------------