TSTP Solution File: GEO594+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO594+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 06:25:25 EDT 2022
% Result : Theorem 51.22s 51.38s
% Output : Refutation 51.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 28
% Syntax : Number of clauses : 97 ( 34 unt; 5 nHn; 97 RR)
% Number of literals : 197 ( 0 equ; 100 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 14 ( 14 usr; 13 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
para(skc10,skc9,skc8,skc6),
file('GEO594+1.p',unknown),
[] ).
cnf(5,axiom,
perp(skc10,skc9,skc10,skc8),
file('GEO594+1.p',unknown),
[] ).
cnf(6,axiom,
~ cong(skc6,skc8,skc6,skc7),
file('GEO594+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO594+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO594+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ perp(u,v,w,x)
| perp(u,v,x,w) ),
file('GEO594+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO594+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO594+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO594+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO594+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO594+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ para(u,v,w,x)
| ~ para(y,z,u,v)
| para(y,z,w,x) ),
file('GEO594+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO594+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ perp(u,v,w,x)
| ~ para(y,z,u,v)
| perp(y,z,w,x) ),
file('GEO594+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO594+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO594+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO594+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(y,z,x1,x2,u,v,w,x) ),
file('GEO594+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO594+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO594+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO594+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO594+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ perp(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,w,x)
| perp(y,z,x1,x2) ),
file('GEO594+1.p',unknown),
[] ).
cnf(86,axiom,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,w,x)
| para(y,z,x1,x2) ),
file('GEO594+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| eqangle(u,x,w,x,w,x,w,v) ),
file('GEO594+1.p',unknown),
[] ).
cnf(91,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO594+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO594+1.p',unknown),
[] ).
cnf(120,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('GEO594+1.p',unknown),
[] ).
cnf(177,plain,
perp(skc10,skc8,skc10,skc9),
inference(res,[status(thm),theory(equality)],[5,17]),
[iquote('0:Res:5.0,17.0')] ).
cnf(184,plain,
( ~ para(u,v,skc10,skc9)
| perp(u,v,skc10,skc8) ),
inference(res,[status(thm),theory(equality)],[5,44]),
[iquote('0:Res:5.0,44.1')] ).
cnf(192,plain,
( ~ para(skc8,skc6,u,v)
| para(skc10,skc9,u,v) ),
inference(res,[status(thm),theory(equality)],[4,42]),
[iquote('0:Res:4.0,42.0')] ).
cnf(193,plain,
( ~ perp(skc8,skc6,u,v)
| perp(skc10,skc9,u,v) ),
inference(res,[status(thm),theory(equality)],[4,44]),
[iquote('0:Res:4.0,44.0')] ).
cnf(194,plain,
eqangle(skc10,skc9,u,v,skc8,skc6,u,v),
inference(res,[status(thm),theory(equality)],[4,33]),
[iquote('0:Res:4.0,33.0')] ).
cnf(196,plain,
para(skc8,skc6,skc10,skc9),
inference(res,[status(thm),theory(equality)],[4,15]),
[iquote('0:Res:4.0,15.0')] ).
cnf(205,plain,
( ~ eqangle(u,v,w,x,skc10,skc9,skc8,skc6)
| para(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[4,86]),
[iquote('0:Res:4.0,86.1')] ).
cnf(222,plain,
( ~ cyclic(skc6,skc8,u,v)
| ~ cyclic(skc6,skc8,u,skc6)
| ~ cyclic(skc6,skc8,u,skc7)
| ~ eqangle(u,skc6,u,skc8,v,skc6,v,skc7) ),
inference(res,[status(thm),theory(equality)],[120,6]),
[iquote('0:Res:120.4,6.0')] ).
cnf(1278,plain,
( ~ para(u,v,u,v)
| coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[33,61]),
[iquote('0:Res:33.1,61.0')] ).
cnf(1751,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[33,56]),
[iquote('0:Res:33.1,56.0')] ).
cnf(1784,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[33,54]),
[iquote('0:Res:33.1,54.0')] ).
cnf(2066,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[33,78]),
[iquote('0:Res:33.1,78.1')] ).
cnf(2350,plain,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| ~ perp(w,x,w,v)
| perp(u,x,w,x) ),
inference(res,[status(thm),theory(equality)],[89,85]),
[iquote('0:Res:89.2,85.1')] ).
cnf(3163,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)],[34,120]),
[iquote('0:Res:34.1,120.3')] ).
cnf(3165,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)],[3163]),
[iquote('0:Obv:3163.0')] ).
cnf(3166,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3165]),
[iquote('0:Con:3165.2')] ).
cnf(4768,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1751,61]),
[iquote('0:Res:1751.1,61.0')] ).
cnf(4779,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1751,78]),
[iquote('0:Res:1751.1,78.1')] ).
cnf(4793,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4779,4768]),
[iquote('0:MRR:4779.1,4768.1')] ).
cnf(5207,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1784,32]),
[iquote('0:Res:1784.1,32.0')] ).
cnf(17612,plain,
( ~ perp(u,v,skc10,skc8)
| para(u,v,skc10,skc9) ),
inference(res,[status(thm),theory(equality)],[177,43]),
[iquote('0:Res:177.0,43.0')] ).
cnf(17634,plain,
para(skc8,skc6,skc9,skc10),
inference(res,[status(thm),theory(equality)],[196,14]),
[iquote('0:Res:196.0,14.0')] ).
cnf(17714,plain,
para(skc9,skc10,skc8,skc6),
inference(res,[status(thm),theory(equality)],[17634,15]),
[iquote('0:Res:17634.0,15.0')] ).
cnf(18065,plain,
eqangle(u,v,skc10,skc9,u,v,skc8,skc6),
inference(res,[status(thm),theory(equality)],[194,54]),
[iquote('0:Res:194.0,54.0')] ).
cnf(18066,plain,
eqangle(skc8,skc6,u,v,skc10,skc9,u,v),
inference(res,[status(thm),theory(equality)],[194,55]),
[iquote('0:Res:194.0,55.0')] ).
cnf(18457,plain,
( ~ perp(skc8,skc6,u,v)
| perp(u,v,skc10,skc9) ),
inference(res,[status(thm),theory(equality)],[193,17]),
[iquote('0:Res:193.1,17.0')] ).
cnf(18547,plain,
perp(skc8,skc6,skc10,skc8),
inference(res,[status(thm),theory(equality)],[196,184]),
[iquote('0:Res:196.0,184.0')] ).
cnf(18589,plain,
perp(skc8,skc6,skc8,skc10),
inference(res,[status(thm),theory(equality)],[18547,16]),
[iquote('0:Res:18547.0,16.0')] ).
cnf(18609,plain,
( ~ para(skc8,skc6,u,v)
| para(skc10,skc9,v,u) ),
inference(res,[status(thm),theory(equality)],[192,14]),
[iquote('0:Res:192.1,14.0')] ).
cnf(22292,plain,
( ~ cyclic(skc9,skc10,skc8,skc6)
| ~ perp(skc8,skc6,skc8,skc10)
| perp(skc9,skc6,skc8,skc6) ),
inference(res,[status(thm),theory(equality)],[17714,2350]),
[iquote('0:Res:17714.0,2350.0')] ).
cnf(22310,plain,
( ~ cyclic(skc9,skc10,skc8,skc6)
| perp(skc9,skc6,skc8,skc6) ),
inference(mrr,[status(thm)],[22292,18589]),
[iquote('0:MRR:22292.1,18589.0')] ).
cnf(24292,plain,
para(skc10,skc9,skc10,skc9),
inference(res,[status(thm),theory(equality)],[18065,205]),
[iquote('0:Res:18065.0,205.0')] ).
cnf(24386,plain,
( ~ para(skc10,skc9,u,v)
| para(skc8,skc6,u,v) ),
inference(res,[status(thm),theory(equality)],[18066,86]),
[iquote('0:Res:18066.0,86.1')] ).
cnf(30452,plain,
( ~ para(u,skc8,u,skc7)
| ~ cyclic(skc6,skc8,u,u)
| ~ cyclic(skc6,skc8,u,skc6)
| ~ cyclic(skc6,skc8,u,skc7) ),
inference(res,[status(thm),theory(equality)],[1784,222]),
[iquote('0:Res:1784.1,222.3')] ).
cnf(32102,plain,
( ~ perp(u,v,skc10,skc8)
| para(skc10,skc9,u,v) ),
inference(res,[status(thm),theory(equality)],[17612,15]),
[iquote('0:Res:17612.1,15.0')] ).
cnf(32437,plain,
( ~ para(skc8,skc6,u,v)
| ~ para(w,x,skc10,skc9)
| para(w,x,v,u) ),
inference(res,[status(thm),theory(equality)],[18609,42]),
[iquote('0:Res:18609.1,42.0')] ).
cnf(33133,plain,
cyclic(skc9,skc9,skc10,u),
inference(res,[status(thm),theory(equality)],[24292,4793]),
[iquote('0:Res:24292.0,4793.0')] ).
cnf(33159,plain,
( ~ cyclic(skc9,skc9,skc10,u)
| cyclic(skc9,skc10,u,v) ),
inference(res,[status(thm),theory(equality)],[33133,46]),
[iquote('0:Res:33133.0,46.0')] ).
cnf(33173,plain,
cyclic(skc9,skc10,u,v),
inference(mrr,[status(thm)],[33159,33133]),
[iquote('0:MRR:33159.0,33133.0')] ).
cnf(33181,plain,
perp(skc9,skc6,skc8,skc6),
inference(mrr,[status(thm)],[22310,33173]),
[iquote('0:MRR:22310.0,33173.0')] ).
cnf(33258,plain,
perp(skc8,skc6,skc9,skc6),
inference(res,[status(thm),theory(equality)],[33181,17]),
[iquote('0:Res:33181.0,17.0')] ).
cnf(33400,plain,
perp(skc9,skc6,skc10,skc9),
inference(res,[status(thm),theory(equality)],[33258,18457]),
[iquote('0:Res:33258.0,18457.0')] ).
cnf(33474,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[24292,5207]),
[iquote('0:Res:24292.0,5207.0')] ).
cnf(33480,plain,
( coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(mrr,[status(thm)],[1278,33474]),
[iquote('0:MRR:1278.0,33474.0')] ).
cnf(33481,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[2066,33474]),
[iquote('0:MRR:2066.0,33474.0')] ).
cnf(33483,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4793,33474]),
[iquote('0:MRR:4793.0,33474.0')] ).
cnf(33622,plain,
( coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(res,[status(thm),theory(equality)],[33480,20]),
[iquote('0:Res:33480.1,20.0')] ).
cnf(33632,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[33622,33481]),
[iquote('0:MRR:33622.0,33481.0')] ).
cnf(33677,plain,
( ~ para(u,skc8,u,skc7)
| ~ cyclic(skc6,skc8,u,skc6)
| ~ cyclic(skc6,skc8,u,skc7) ),
inference(mrr,[status(thm)],[30452,33632]),
[iquote('0:MRR:30452.1,33632.0')] ).
cnf(34893,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[33483,94]),
[iquote('0:Res:33483.0,94.0')] ).
cnf(34894,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[33483,46]),
[iquote('0:Res:33483.0,46.0')] ).
cnf(34974,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[34894,33483]),
[iquote('0:MRR:34894.0,33483.0')] ).
cnf(34978,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[120,34974]),
[iquote('0:MRR:120.2,120.1,120.0,34974.0')] ).
cnf(34993,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[68,34974]),
[iquote('0:MRR:68.1,34974.0')] ).
cnf(34995,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3166,34974]),
[iquote('0:MRR:3166.1,3166.0,34974.0')] ).
cnf(35160,plain,
~ para(u,skc8,u,skc7),
inference(mrr,[status(thm)],[33677,34974]),
[iquote('0:MRR:33677.1,33677.2,34974.0')] ).
cnf(35327,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[34893,34995]),
[iquote('0:MRR:34893.0,34893.1,34995.0,34995.0')] ).
cnf(35332,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[91,35327]),
[iquote('0:MRR:91.0,35327.0')] ).
cnf(35349,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[34993,35327]),
[iquote('0:MRR:34993.0,35327.0')] ).
cnf(42443,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[35349,35332]),
[iquote('0:Res:35349.0,35332.0')] ).
cnf(52830,plain,
( ~ perp(u,v,skc9,skc6)
| para(u,v,skc10,skc9) ),
inference(res,[status(thm),theory(equality)],[33400,43]),
[iquote('0:Res:33400.0,43.0')] ).
cnf(57398,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[42443,34978]),
[iquote('0:Res:42443.0,34978.0')] ).
cnf(57405,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[48,57398]),
[iquote('0:MRR:48.1,48.0,57398.0')] ).
cnf(57489,plain,
para(u,v,skc10,skc9),
inference(mrr,[status(thm)],[52830,57405]),
[iquote('0:MRR:52830.0,57405.0')] ).
cnf(57537,plain,
para(skc10,skc9,u,v),
inference(mrr,[status(thm)],[32102,57405]),
[iquote('0:MRR:32102.0,57405.0')] ).
cnf(58212,plain,
( ~ para(skc8,skc6,u,v)
| para(w,x,v,u) ),
inference(mrr,[status(thm)],[32437,57489]),
[iquote('0:MRR:32437.1,57489.0')] ).
cnf(58242,plain,
para(skc8,skc6,u,v),
inference(mrr,[status(thm)],[24386,57537]),
[iquote('0:MRR:24386.0,57537.0')] ).
cnf(58394,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[58212,58242]),
[iquote('0:MRR:58212.0,58242.0')] ).
cnf(58395,plain,
$false,
inference(unc,[status(thm)],[58394,35160]),
[iquote('0:UnC:58394.0,35160.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO594+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 00:05:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 51.22/51.38
% 51.22/51.38 SPASS V 3.9
% 51.22/51.38 SPASS beiseite: Proof found.
% 51.22/51.38 % SZS status Theorem
% 51.22/51.38 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 51.22/51.38 SPASS derived 49308 clauses, backtracked 11114 clauses, performed 5 splits and kept 36617 clauses.
% 51.22/51.38 SPASS allocated 119815 KBytes.
% 51.22/51.38 SPASS spent 0:0:50.73 on the problem.
% 51.22/51.38 0:00:00.04 for the input.
% 51.22/51.38 0:00:00.29 for the FLOTTER CNF translation.
% 51.22/51.38 0:00:00.78 for inferences.
% 51.22/51.38 0:00:01.31 for the backtracking.
% 51.22/51.38 0:0:47.57 for the reduction.
% 51.22/51.38
% 51.22/51.38
% 51.22/51.38 Here is a proof with depth 7, length 97 :
% 51.22/51.38 % SZS output start Refutation
% See solution above
% 51.22/51.38 Formulae used in the proof : exemplo6GDDFULL416056 ruleD4 ruleD5 ruleD7 ruleD8 ruleD16 ruleD39 ruleD40 ruleD41 ruleD6 ruleD9 ruleD10 ruleD17 ruleD56 ruleD19 ruleD20 ruleD21 ruleD42a ruleX14 ruleD42b ruleD74 ruleD73 ruleD54 ruleD48 ruleD57 ruleD43
% 51.22/51.38
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