TSTP Solution File: GEO623+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO623+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 06:25:35 EDT 2022
% Result : Theorem 11.12s 11.32s
% Output : Refutation 11.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 27
% Syntax : Number of clauses : 77 ( 27 unt; 2 nHn; 77 RR)
% Number of literals : 161 ( 0 equ; 84 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 15 ( 15 usr; 14 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
~ cong(skc8,skc9,skc8,skc10),
file('GEO623+1.p',unknown),
[] ).
cnf(8,axiom,
eqangle(skc9,skc13,skc13,skc14,skc9,skc13,skc13,skc15),
file('GEO623+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO623+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ midp(u,v,w)
| cong(u,v,u,w) ),
file('GEO623+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO623+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,w,v,x) ),
file('GEO623+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ cong(u,v,w,x)
| cong(w,x,u,v) ),
file('GEO623+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO623+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO623+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO623+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ cong(u,v,u,w)
| eqangle(u,v,v,w,v,w,u,w) ),
file('GEO623+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ coll(u,v,w)
| ~ cong(u,v,u,w)
| midp(u,v,w) ),
file('GEO623+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO623+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO623+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO623+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(v,u,w,x,y,z,x1,x2) ),
file('GEO623+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('GEO623+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('GEO623+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('GEO623+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('GEO623+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('GEO623+1.p',unknown),
[] ).
cnf(87,axiom,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,w,x)
| para(y,z,x1,x2) ),
file('GEO623+1.p',unknown),
[] ).
cnf(88,axiom,
( ~ midp(u,v,w)
| ~ para(v,x,w,y)
| ~ para(v,y,w,x)
| midp(u,y,x) ),
file('GEO623+1.p',unknown),
[] ).
cnf(90,axiom,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| eqangle(u,x,w,x,w,x,w,v) ),
file('GEO623+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('GEO623+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('GEO623+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('GEO623+1.p',unknown),
[] ).
cnf(342,plain,
( ~ midp(u,v,w)
| cong(u,w,u,v) ),
inference(res,[status(thm),theory(equality)],[14,23]),
[iquote('0:Res:14.1,23.0')] ).
cnf(653,plain,
( ~ cong(u,u,u,v)
| para(u,u,u,v) ),
inference(res,[status(thm),theory(equality)],[37,33]),
[iquote('0:Res:37.1,33.0')] ).
cnf(1055,plain,
eqangle(skc9,skc13,skc9,skc13,skc13,skc14,skc13,skc15),
inference(res,[status(thm),theory(equality)],[8,57]),
[iquote('0:Res:8.0,57.0')] ).
cnf(1057,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(1089,plain,
eqangle(skc13,skc14,skc9,skc13,skc13,skc15,skc9,skc13),
inference(res,[status(thm),theory(equality)],[8,55]),
[iquote('0:Res:8.0,55.0')] ).
cnf(1091,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(1117,plain,
eqangle(skc13,skc9,skc9,skc13,skc13,skc14,skc13,skc15),
inference(res,[status(thm),theory(equality)],[1055,54]),
[iquote('0:Res:1055.0,54.0')] ).
cnf(1147,plain,
para(skc13,skc14,skc13,skc15),
inference(res,[status(thm),theory(equality)],[1089,33]),
[iquote('0:Res:1089.0,33.0')] ).
cnf(1155,plain,
para(skc13,skc15,skc13,skc14),
inference(res,[status(thm),theory(equality)],[1147,16]),
[iquote('0:Res:1147.0,16.0')] ).
cnf(1353,plain,
eqangle(skc9,skc13,skc13,skc9,skc13,skc15,skc13,skc14),
inference(res,[status(thm),theory(equality)],[1117,55]),
[iquote('0:Res:1117.0,55.0')] ).
cnf(1419,plain,
eqangle(skc13,skc9,skc13,skc9,skc13,skc15,skc13,skc14),
inference(res,[status(thm),theory(equality)],[1353,54]),
[iquote('0:Res:1353.0,54.0')] ).
cnf(1611,plain,
( ~ para(skc13,skc15,skc13,skc14)
| para(skc13,skc9,skc13,skc9) ),
inference(res,[status(thm),theory(equality)],[1419,87]),
[iquote('0:Res:1419.0,87.1')] ).
cnf(1618,plain,
para(skc13,skc9,skc13,skc9),
inference(mrr,[status(thm)],[1611,1155]),
[iquote('0:MRR:1611.0,1155.0')] ).
cnf(2610,plain,
( ~ para(u,v,u,w)
| ~ cyclic(u,v,u,w)
| ~ cyclic(w,w,u,w)
| ~ cyclic(w,w,u,v)
| ~ cyclic(w,w,u,u)
| cong(w,w,w,v) ),
inference(res,[status(thm),theory(equality)],[90,121]),
[iquote('0:Res:90.2,121.3')] ).
cnf(2611,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(2627,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)],[2611]),
[iquote('0:Obv:2611.0')] ).
cnf(2628,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2627]),
[iquote('0:Con:2627.2')] ).
cnf(3000,plain,
~ midp(skc8,skc10,skc9),
inference(res,[status(thm),theory(equality)],[342,7]),
[iquote('0:Res:342.1,7.0')] ).
cnf(3161,plain,
( ~ cong(u,u,u,v)
| para(u,v,u,u) ),
inference(res,[status(thm),theory(equality)],[653,16]),
[iquote('0:Res:653.1,16.0')] ).
cnf(3167,plain,
( ~ cong(u,u,u,v)
| ~ midp(w,u,u)
| ~ para(u,v,u,u)
| midp(w,v,u) ),
inference(res,[status(thm),theory(equality)],[653,88]),
[iquote('0:Res:653.1,88.1')] ).
cnf(3170,plain,
( ~ cong(u,u,u,v)
| ~ midp(w,u,u)
| midp(w,v,u) ),
inference(mrr,[status(thm)],[3167,3161]),
[iquote('0:MRR:3167.2,3161.1')] ).
cnf(3792,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1057,62]),
[iquote('0:Res:1057.1,62.0')] ).
cnf(3803,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1057,79]),
[iquote('0:Res:1057.1,79.1')] ).
cnf(3818,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[3803,3792]),
[iquote('0:MRR:3803.1,3792.1')] ).
cnf(4070,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1091,33]),
[iquote('0:Res:1091.1,33.0')] ).
cnf(12440,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[1618,4070]),
[iquote('0:Res:1618.0,4070.0')] ).
cnf(12451,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[3818,12440]),
[iquote('0:MRR:3818.0,12440.0')] ).
cnf(12462,plain,
( ~ para(u,v,u,w)
| ~ cyclic(u,v,u,w)
| cong(w,w,w,v) ),
inference(mrr,[status(thm)],[2610,12451]),
[iquote('0:MRR:2610.4,2610.2,2610.3,12451.0')] ).
cnf(12520,plain,
coll(u,v,v),
inference(res,[status(thm),theory(equality)],[12440,13]),
[iquote('0:Res:12440.0,13.0')] ).
cnf(13660,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[12451,95]),
[iquote('0:Res:12451.0,95.0')] ).
cnf(13661,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[12451,47]),
[iquote('0:Res:12451.0,47.0')] ).
cnf(13663,plain,
cyclic(u,v,u,w),
inference(res,[status(thm),theory(equality)],[12451,20]),
[iquote('0:Res:12451.0,20.0')] ).
cnf(13668,plain,
( ~ para(u,v,u,w)
| cong(w,w,w,v) ),
inference(mrr,[status(thm)],[12462,13663]),
[iquote('0:MRR:12462.1,13663.0')] ).
cnf(13771,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[13661,12451]),
[iquote('0:MRR:13661.0,12451.0')] ).
cnf(13775,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[121,13771]),
[iquote('0:MRR:121.2,121.1,121.0,13771.0')] ).
cnf(13790,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[69,13771]),
[iquote('0:MRR:69.1,13771.0')] ).
cnf(13792,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2628,13771]),
[iquote('0:MRR:2628.1,2628.0,13771.0')] ).
cnf(14190,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[13660,13792]),
[iquote('0:MRR:13660.0,13660.1,13792.0,13792.0')] ).
cnf(14196,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[92,14190]),
[iquote('0:MRR:92.0,14190.0')] ).
cnf(14210,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[13790,14190]),
[iquote('0:MRR:13790.0,14190.0')] ).
cnf(14880,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[14210,14196]),
[iquote('0:Res:14210.0,14196.0')] ).
cnf(15232,plain,
( ~ coll(u,v,v)
| midp(u,v,v) ),
inference(res,[status(thm),theory(equality)],[13792,39]),
[iquote('0:Res:13792.0,39.1')] ).
cnf(15240,plain,
midp(u,v,v),
inference(mrr,[status(thm)],[15232,12520]),
[iquote('0:MRR:15232.0,12520.0')] ).
cnf(15284,plain,
( ~ cong(u,u,u,v)
| midp(w,v,u) ),
inference(mrr,[status(thm)],[3170,15240]),
[iquote('0:MRR:3170.1,15240.0')] ).
cnf(15666,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[14880,13775]),
[iquote('0:Res:14880.0,13775.0')] ).
cnf(15685,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[49,15666]),
[iquote('0:MRR:49.1,49.0,15666.0')] ).
cnf(15698,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[44,15685]),
[iquote('0:MRR:44.1,44.0,15685.0')] ).
cnf(15914,plain,
cong(u,u,u,v),
inference(mrr,[status(thm)],[13668,15698]),
[iquote('0:MRR:13668.0,15698.0')] ).
cnf(16564,plain,
midp(u,v,w),
inference(mrr,[status(thm)],[15284,15914]),
[iquote('0:MRR:15284.0,15914.0')] ).
cnf(16577,plain,
$false,
inference(unc,[status(thm)],[16564,3000]),
[iquote('0:UnC:16564.0,3000.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO623+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n003.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 01:19:12 EDT 2022
% 0.14/0.34 % CPUTime :
% 11.12/11.32
% 11.12/11.32 SPASS V 3.9
% 11.12/11.32 SPASS beiseite: Proof found.
% 11.12/11.32 % SZS status Theorem
% 11.12/11.32 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.12/11.32 SPASS derived 16157 clauses, backtracked 0 clauses, performed 0 splits and kept 10312 clauses.
% 11.12/11.32 SPASS allocated 97154 KBytes.
% 11.12/11.32 SPASS spent 0:0:10.89 on the problem.
% 11.12/11.32 0:00:00.04 for the input.
% 11.12/11.32 0:00:00.21 for the FLOTTER CNF translation.
% 11.12/11.32 0:00:00.34 for inferences.
% 11.12/11.32 0:00:00.00 for the backtracking.
% 11.12/11.32 0:00:09.85 for the reduction.
% 11.12/11.32
% 11.12/11.32
% 11.12/11.32 Here is a proof with depth 7, length 77 :
% 11.12/11.32 % SZS output start Refutation
% See solution above
% 11.12/11.32 Formulae used in the proof : exemplo6GDDFULL8110986 ruleD66 ruleD68 ruleD5 ruleD15 ruleD24 ruleD39 ruleD40 ruleD41 ruleD46 ruleD67 ruleD9 ruleD17 ruleD56 ruleD18 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD73 ruleD64 ruleD54 ruleD48 ruleD57 ruleD43
% 11.12/11.32
%------------------------------------------------------------------------------