TSTP Solution File: GEO644+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO644+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 06:25:41 EDT 2022
% Result : Theorem 23.15s 23.38s
% Output : Refutation 23.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 27
% Syntax : Number of clauses : 77 ( 24 unt; 5 nHn; 77 RR)
% Number of literals : 166 ( 0 equ; 86 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 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(8,axiom,
para(skc15,skc14,skc12,skc8),
file('GEO644+1.p',unknown),
[] ).
cnf(9,axiom,
~ cong(skc15,skc10,skc10,skc13),
file('GEO644+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO644+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ midp(u,v,w)
| cong(u,v,u,w) ),
file('GEO644+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO644+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO644+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO644+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ cong(u,v,w,x)
| cong(u,v,x,w) ),
file('GEO644+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ cong(u,v,w,x)
| cong(w,x,u,v) ),
file('GEO644+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO644+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO644+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO644+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ para(u,v,w,x)
| ~ para(y,z,u,v)
| para(y,z,w,x) ),
file('GEO644+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO644+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ cong(u,v,u,w)
| ~ cong(u,v,u,x)
| circle(u,v,x,w) ),
file('GEO644+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO644+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO644+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO644+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO644+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO644+1.p',unknown),
[] ).
cnf(70,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO644+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO644+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO644+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO644+1.p',unknown),
[] ).
cnf(108,axiom,
( ~ coll(u,v,w)
| ~ circle(x,y,v,w)
| ~ eqangle(y,v,y,w,x,v,x,u)
| midp(u,v,w) ),
file('GEO644+1.p',unknown),
[] ).
cnf(116,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('GEO644+1.p',unknown),
[] ).
cnf(122,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('GEO644+1.p',unknown),
[] ).
cnf(388,plain,
( ~ midp(u,v,w)
| cong(u,v,w,u) ),
inference(res,[status(thm),theory(equality)],[15,23]),
[iquote('0:Res:15.1,23.0')] ).
cnf(421,plain,
para(skc15,skc14,skc8,skc12),
inference(res,[status(thm),theory(equality)],[8,16]),
[iquote('0:Res:8.0,16.0')] ).
cnf(426,plain,
para(skc8,skc12,skc15,skc14),
inference(res,[status(thm),theory(equality)],[421,17]),
[iquote('0:Res:421.0,17.0')] ).
cnf(866,plain,
( ~ para(u,v,skc15,skc14)
| para(u,v,skc12,skc8) ),
inference(res,[status(thm),theory(equality)],[8,44]),
[iquote('0:Res:8.0,44.0')] ).
cnf(1047,plain,
( ~ para(u,v,u,v)
| coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[35,63]),
[iquote('0:Res:35.1,63.0')] ).
cnf(1132,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[35,58]),
[iquote('0:Res:35.1,58.0')] ).
cnf(1164,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[35,56]),
[iquote('0:Res:35.1,56.0')] ).
cnf(1327,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[35,80]),
[iquote('0:Res:35.1,80.1')] ).
cnf(2090,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)],[35,116]),
[iquote('0:Res:35.1,116.0')] ).
cnf(2231,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)],[36,122]),
[iquote('0:Res:36.1,122.3')] ).
cnf(2233,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)],[2231]),
[iquote('0:Obv:2231.0')] ).
cnf(2234,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2233]),
[iquote('0:Con:2233.2')] ).
cnf(2652,plain,
( ~ midp(u,v,w)
| cong(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[388,24]),
[iquote('0:Res:388.1,24.0')] ).
cnf(2798,plain,
para(skc8,skc12,skc12,skc8),
inference(res,[status(thm),theory(equality)],[426,866]),
[iquote('0:Res:426.0,866.0')] ).
cnf(3585,plain,
para(skc8,skc12,skc8,skc12),
inference(res,[status(thm),theory(equality)],[2798,16]),
[iquote('0:Res:2798.0,16.0')] ).
cnf(3598,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1132,63]),
[iquote('0:Res:1132.1,63.0')] ).
cnf(3609,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1132,80]),
[iquote('0:Res:1132.1,80.1')] ).
cnf(3625,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[3609,3598]),
[iquote('0:MRR:3609.1,3598.1')] ).
cnf(3888,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1164,34]),
[iquote('0:Res:1164.1,34.0')] ).
cnf(3899,plain,
( ~ para(u,v,u,w)
| ~ cyclic(x,v,u,x)
| ~ cyclic(x,v,u,w)
| ~ cyclic(x,v,u,u)
| cong(x,v,x,w) ),
inference(res,[status(thm),theory(equality)],[1164,122]),
[iquote('0:Res:1164.1,122.3')] ).
cnf(12091,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)],[1164,2090]),
[iquote('0:Res:1164.1,2090.1')] ).
cnf(15497,plain,
~ midp(skc10,skc13,skc15),
inference(res,[status(thm),theory(equality)],[2652,9]),
[iquote('0:Res:2652.1,9.0')] ).
cnf(19716,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[3585,3888]),
[iquote('0:Res:3585.0,3888.0')] ).
cnf(19729,plain,
( coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(mrr,[status(thm)],[1047,19716]),
[iquote('0:MRR:1047.0,19716.0')] ).
cnf(19730,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[1327,19716]),
[iquote('0:MRR:1327.0,19716.0')] ).
cnf(19732,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[3625,19716]),
[iquote('0:MRR:3625.0,19716.0')] ).
cnf(19898,plain,
( coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(res,[status(thm),theory(equality)],[19729,22]),
[iquote('0:Res:19729.1,22.0')] ).
cnf(19904,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[19898,19730]),
[iquote('0:MRR:19898.0,19730.0')] ).
cnf(19935,plain,
( ~ para(u,v,u,w)
| ~ cyclic(x,v,u,x)
| ~ cyclic(x,v,u,w)
| cong(x,v,x,w) ),
inference(mrr,[status(thm)],[3899,19904]),
[iquote('0:MRR:3899.3,19904.0')] ).
cnf(21831,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[19732,96]),
[iquote('0:Res:19732.0,96.0')] ).
cnf(21832,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[19732,48]),
[iquote('0:Res:19732.0,48.0')] ).
cnf(21908,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[21832,19732]),
[iquote('0:MRR:21832.0,19732.0')] ).
cnf(21912,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[122,21908]),
[iquote('0:MRR:122.2,122.1,122.0,21908.0')] ).
cnf(21927,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[70,21908]),
[iquote('0:MRR:70.1,21908.0')] ).
cnf(21929,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2234,21908]),
[iquote('0:MRR:2234.1,2234.0,21908.0')] ).
cnf(22113,plain,
( ~ para(u,v,u,w)
| cong(x,v,x,w) ),
inference(mrr,[status(thm)],[19935,21908]),
[iquote('0:MRR:19935.1,19935.2,21908.0')] ).
cnf(22238,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[21831,21929]),
[iquote('0:MRR:21831.0,21831.1,21929.0,21929.0')] ).
cnf(22244,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[93,22238]),
[iquote('0:MRR:93.0,22238.0')] ).
cnf(22260,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[21927,22238]),
[iquote('0:MRR:21927.0,22238.0')] ).
cnf(24467,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[22260,22244]),
[iquote('0:Res:22260.0,22244.0')] ).
cnf(25916,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[24467,21912]),
[iquote('0:Res:24467.0,21912.0')] ).
cnf(25936,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[50,25916]),
[iquote('0:MRR:50.1,50.0,25916.0')] ).
cnf(25970,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[45,25936]),
[iquote('0:MRR:45.1,45.0,25936.0')] ).
cnf(26354,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[14,25970]),
[iquote('0:MRR:14.0,25970.0')] ).
cnf(26453,plain,
eqangle(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[12091,25970]),
[iquote('0:MRR:12091.1,12091.0,25970.0')] ).
cnf(26528,plain,
cong(u,v,u,w),
inference(mrr,[status(thm)],[22113,25970]),
[iquote('0:MRR:22113.0,25970.0')] ).
cnf(27746,plain,
( ~ circle(u,v,w,x)
| ~ eqangle(v,w,v,x,u,w,u,y)
| midp(y,w,x) ),
inference(mrr,[status(thm)],[108,26354]),
[iquote('0:MRR:108.0,26354.0')] ).
cnf(28249,plain,
circle(u,v,w,x),
inference(mrr,[status(thm)],[47,26528]),
[iquote('0:MRR:47.1,47.0,26528.0')] ).
cnf(28566,plain,
midp(u,v,w),
inference(mrr,[status(thm)],[27746,28249,26453]),
[iquote('0:MRR:27746.0,27746.1,28249.0,26453.0')] ).
cnf(28567,plain,
$false,
inference(unc,[status(thm)],[28566,15497]),
[iquote('0:UnC:28566.0,15497.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GEO644+1 : TPTP v8.1.0. Released v7.5.0.
% 0.09/0.11 % Command : run_spass %d %s
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sat Jun 18 11:42:32 EDT 2022
% 0.11/0.32 % CPUTime :
% 23.15/23.38
% 23.15/23.38 SPASS V 3.9
% 23.15/23.38 SPASS beiseite: Proof found.
% 23.15/23.38 % SZS status Theorem
% 23.15/23.38 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.15/23.38 SPASS derived 26950 clauses, backtracked 0 clauses, performed 1 splits and kept 14397 clauses.
% 23.15/23.38 SPASS allocated 104959 KBytes.
% 23.15/23.38 SPASS spent 0:0:22.94 on the problem.
% 23.15/23.38 0:00:00.04 for the input.
% 23.15/23.38 0:00:00.21 for the FLOTTER CNF translation.
% 23.15/23.38 0:00:00.58 for inferences.
% 23.15/23.38 0:00:00.01 for the backtracking.
% 23.15/23.38 0:0:21.48 for the reduction.
% 23.15/23.38
% 23.15/23.38
% 23.15/23.38 Here is a proof with depth 5, length 77 :
% 23.15/23.38 % SZS output start Refutation
% See solution above
% 23.15/23.38 Formulae used in the proof : exemplo6GDDFULLmoreE0061 ruleD66 ruleD68 ruleD4 ruleD5 ruleD16 ruleD23 ruleD24 ruleD39 ruleD40 ruleD41 ruleD6 ruleD9 ruleD12 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD51 ruleD22 ruleD43
% 23.15/23.38
%------------------------------------------------------------------------------