TSTP Solution File: GEO625+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO625+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 06:25:35 EDT 2022
% Result : Theorem 34.10s 34.35s
% Output : Refutation 34.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 20
% Syntax : Number of clauses : 56 ( 21 unt; 2 nHn; 56 RR)
% Number of literals : 116 ( 0 equ; 59 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 : 21 ( 21 usr; 20 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
eqangle(skc16,skc17,skc17,skc19,skc16,skc17,skc17,skc18),
file('GEO625+1.p',unknown),
[] ).
cnf(14,axiom,
~ eqangle(skc14,skc10,skc10,skc13,skc13,skc10,skc10,skc15),
file('GEO625+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO625+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO625+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO625+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO625+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO625+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO625+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO625+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO625+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO625+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO625+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO625+1.p',unknown),
[] ).
cnf(71,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO625+1.p',unknown),
[] ).
cnf(81,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO625+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,w,x)
| para(y,z,x1,x2) ),
file('GEO625+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO625+1.p',unknown),
[] ).
cnf(97,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO625+1.p',unknown),
[] ).
cnf(117,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('GEO625+1.p',unknown),
[] ).
cnf(123,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('GEO625+1.p',unknown),
[] ).
cnf(1287,plain,
eqangle(skc16,skc17,skc16,skc17,skc17,skc19,skc17,skc18),
inference(res,[status(thm),theory(equality)],[9,59]),
[iquote('0:Res:9.0,59.0')] ).
cnf(1291,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[36,59]),
[iquote('0:Res:36.1,59.0')] ).
cnf(1324,plain,
eqangle(skc17,skc19,skc16,skc17,skc17,skc18,skc16,skc17),
inference(res,[status(thm),theory(equality)],[9,57]),
[iquote('0:Res:9.0,57.0')] ).
cnf(1333,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[36,57]),
[iquote('0:Res:36.1,57.0')] ).
cnf(1394,plain,
para(skc17,skc19,skc17,skc18),
inference(res,[status(thm),theory(equality)],[1324,35]),
[iquote('0:Res:1324.0,35.0')] ).
cnf(1858,plain,
( ~ para(skc17,skc19,skc17,skc18)
| para(skc16,skc17,skc16,skc17) ),
inference(res,[status(thm),theory(equality)],[1287,89]),
[iquote('0:Res:1287.0,89.1')] ).
cnf(1873,plain,
para(skc16,skc17,skc16,skc17),
inference(mrr,[status(thm)],[1858,1394]),
[iquote('0:MRR:1858.0,1394.0')] ).
cnf(1948,plain,
para(skc16,skc17,skc17,skc16),
inference(res,[status(thm),theory(equality)],[1873,17]),
[iquote('0:Res:1873.0,17.0')] ).
cnf(1971,plain,
para(skc17,skc16,skc16,skc17),
inference(res,[status(thm),theory(equality)],[1948,18]),
[iquote('0:Res:1948.0,18.0')] ).
cnf(1988,plain,
para(skc17,skc16,skc17,skc16),
inference(res,[status(thm),theory(equality)],[1971,17]),
[iquote('0:Res:1971.0,17.0')] ).
cnf(2796,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)],[36,117]),
[iquote('0:Res:36.1,117.0')] ).
cnf(3128,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)],[37,123]),
[iquote('0:Res:37.1,123.3')] ).
cnf(3142,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)],[3128]),
[iquote('0:Obv:3128.0')] ).
cnf(3143,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3142]),
[iquote('0:Con:3142.2')] ).
cnf(5640,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1291,64]),
[iquote('0:Res:1291.1,64.0')] ).
cnf(5651,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1291,81]),
[iquote('0:Res:1291.1,81.1')] ).
cnf(5663,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[5651,5640]),
[iquote('0:MRR:5651.1,5640.1')] ).
cnf(5980,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1333,35]),
[iquote('0:Res:1333.1,35.0')] ).
cnf(13435,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)],[1333,2796]),
[iquote('0:Res:1333.1,2796.1')] ).
cnf(22397,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[1988,5980]),
[iquote('0:Res:1988.0,5980.0')] ).
cnf(22427,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[5663,22397]),
[iquote('0:MRR:5663.0,22397.0')] ).
cnf(24133,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[22427,97]),
[iquote('0:Res:22427.0,97.0')] ).
cnf(24134,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[22427,49]),
[iquote('0:Res:22427.0,49.0')] ).
cnf(24418,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[24134,22427]),
[iquote('0:MRR:24134.0,22427.0')] ).
cnf(24422,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[123,24418]),
[iquote('0:MRR:123.2,123.1,123.0,24418.0')] ).
cnf(24437,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[71,24418]),
[iquote('0:MRR:71.1,24418.0')] ).
cnf(24439,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3143,24418]),
[iquote('0:MRR:3143.1,3143.0,24418.0')] ).
cnf(25677,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[24133,24439]),
[iquote('0:MRR:24133.0,24133.1,24439.0,24439.0')] ).
cnf(25683,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[94,25677]),
[iquote('0:MRR:94.0,25677.0')] ).
cnf(25699,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[24437,25677]),
[iquote('0:MRR:24437.0,25677.0')] ).
cnf(28282,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[25699,25683]),
[iquote('0:Res:25699.0,25683.0')] ).
cnf(29019,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[28282,24422]),
[iquote('0:Res:28282.0,24422.0')] ).
cnf(29039,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[51,29019]),
[iquote('0:MRR:51.1,51.0,29019.0')] ).
cnf(29071,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[46,29039]),
[iquote('0:MRR:46.1,46.0,29039.0')] ).
cnf(29690,plain,
eqangle(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[13435,29071]),
[iquote('0:MRR:13435.1,13435.0,29071.0')] ).
cnf(32582,plain,
$false,
inference(unc,[status(thm)],[29690,14]),
[iquote('0:UnC:29690.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : GEO625+1 : TPTP v8.1.0. Released v7.5.0.
% 0.09/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 14:14:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 34.10/34.35
% 34.10/34.35 SPASS V 3.9
% 34.10/34.35 SPASS beiseite: Proof found.
% 34.10/34.35 % SZS status Theorem
% 34.10/34.35 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.10/34.35 SPASS derived 31687 clauses, backtracked 0 clauses, performed 0 splits and kept 17444 clauses.
% 34.10/34.35 SPASS allocated 107831 KBytes.
% 34.10/34.35 SPASS spent 0:0:33.87 on the problem.
% 34.10/34.35 0:00:00.04 for the input.
% 34.10/34.35 0:00:00.22 for the FLOTTER CNF translation.
% 34.10/34.35 0:00:00.71 for inferences.
% 34.10/34.35 0:00:00.00 for the backtracking.
% 34.10/34.35 0:0:31.95 for the reduction.
% 34.10/34.35
% 34.10/34.35
% 34.10/34.35 Here is a proof with depth 6, length 56 :
% 34.10/34.35 % SZS output start Refutation
% See solution above
% 34.10/34.35 Formulae used in the proof : exemplo6GDDFULL8110989 ruleD4 ruleD5 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD73 ruleD48 ruleD57 ruleD22 ruleD43
% 34.10/34.35
%------------------------------------------------------------------------------