TSTP Solution File: GEO584+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO584+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 06:25:22 EDT 2022
% Result : Theorem 24.36s 24.55s
% Output : Refutation 24.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 26
% Syntax : Number of clauses : 85 ( 24 unt; 5 nHn; 85 RR)
% Number of literals : 192 ( 0 equ; 103 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 : 20 ( 20 usr; 19 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(10,axiom,
perp(skc13,skc12,skc19,skc18),
file('GEO584+1.p',unknown),
[] ).
cnf(16,axiom,
~ eqangle(skc12,skc14,skc14,skc15,skc12,skc13,skc13,skc16),
file('GEO584+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO584+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO584+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO584+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO584+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO584+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO584+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ coll(u,v,w)
| ~ cong(u,v,u,w)
| midp(u,v,w) ),
file('GEO584+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO584+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ cong(u,v,u,w)
| ~ cong(u,v,u,x)
| circle(u,v,x,w) ),
file('GEO584+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO584+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO584+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(v,u,w,x,y,z,x1,x2) ),
file('GEO584+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO584+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(y,z,x1,x2,u,v,w,x) ),
file('GEO584+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO584+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO584+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO584+1.p',unknown),
[] ).
cnf(81,axiom,
( ~ midp(u,v,w)
| ~ circle(x,y,v,w)
| eqangle(y,v,y,w,x,v,x,u) ),
file('GEO584+1.p',unknown),
[] ).
cnf(83,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO584+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| eqangle(u,x,w,x,w,x,w,v) ),
file('GEO584+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO584+1.p',unknown),
[] ).
cnf(99,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO584+1.p',unknown),
[] ).
cnf(119,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('GEO584+1.p',unknown),
[] ).
cnf(125,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('GEO584+1.p',unknown),
[] ).
cnf(247,plain,
perp(skc19,skc18,skc13,skc12),
inference(res,[status(thm),theory(equality)],[10,22]),
[iquote('0:Res:10.0,22.0')] ).
cnf(252,plain,
( ~ perp(u,v,skc13,skc12)
| para(u,v,skc19,skc18) ),
inference(res,[status(thm),theory(equality)],[10,48]),
[iquote('0:Res:10.0,48.1')] ).
cnf(619,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[39,37]),
[iquote('0:Res:39.1,37.0')] ).
cnf(1158,plain,
( ~ para(u,v,u,v)
| coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[38,66]),
[iquote('0:Res:38.1,66.0')] ).
cnf(1243,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[38,61]),
[iquote('0:Res:38.1,61.0')] ).
cnf(1279,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[38,59]),
[iquote('0:Res:38.1,59.0')] ).
cnf(1297,plain,
( ~ para(u,v,w,x)
| eqangle(v,u,y,z,w,x,y,z) ),
inference(res,[status(thm),theory(equality)],[38,58]),
[iquote('0:Res:38.1,58.0')] ).
cnf(1591,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[38,83]),
[iquote('0:Res:38.1,83.1')] ).
cnf(1649,plain,
( ~ midp(u,v,w)
| ~ circle(x,y,v,w)
| eqangle(y,v,x,v,y,w,x,u) ),
inference(res,[status(thm),theory(equality)],[81,61]),
[iquote('0:Res:81.2,61.0')] ).
cnf(1824,plain,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| eqangle(w,x,w,v,u,x,w,x) ),
inference(res,[status(thm),theory(equality)],[94,60]),
[iquote('0:Res:94.2,60.0')] ).
cnf(2369,plain,
( ~ midp(u,v,w)
| ~ circle(x,y,v,w)
| ~ eqangle(z,x1,x2,x3,y,v,y,w)
| eqangle(z,x1,x2,x3,x,v,x,u) ),
inference(res,[status(thm),theory(equality)],[81,119]),
[iquote('0:Res:81.2,119.0')] ).
cnf(2490,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)],[39,125]),
[iquote('0:Res:39.1,125.3')] ).
cnf(2492,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)],[2490]),
[iquote('0:Obv:2490.0')] ).
cnf(2493,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2492]),
[iquote('0:Con:2492.2')] ).
cnf(4741,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1243,66]),
[iquote('0:Res:1243.1,66.0')] ).
cnf(4752,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1243,83]),
[iquote('0:Res:1243.1,83.1')] ).
cnf(4768,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4752,4741]),
[iquote('0:MRR:4752.1,4741.1')] ).
cnf(5001,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1279,37]),
[iquote('0:Res:1279.1,37.0')] ).
cnf(5014,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)],[1279,125]),
[iquote('0:Res:1279.1,125.3')] ).
cnf(7775,plain,
( ~ midp(u,v,w)
| ~ circle(x,y,v,w)
| ~ eqangle(z,x1,x2,x3,y,v,x,v)
| eqangle(z,x1,x2,x3,y,w,x,u) ),
inference(res,[status(thm),theory(equality)],[1649,119]),
[iquote('0:Res:1649.2,119.0')] ).
cnf(8659,plain,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| ~ eqangle(y,z,x1,x2,w,x,w,v)
| eqangle(y,z,x1,x2,u,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1824,119]),
[iquote('0:Res:1824.2,119.0')] ).
cnf(14628,plain,
( ~ para(u,v,w,x)
| ~ midp(y,x,z)
| ~ circle(x1,w,x,z)
| eqangle(v,u,w,z,x1,x,x1,y) ),
inference(res,[status(thm),theory(equality)],[1297,2369]),
[iquote('0:Res:1297.1,2369.2')] ).
cnf(20616,plain,
( ~ perp(skc19,skc18,skc13,skc12)
| cyclic(skc18,skc18,skc19,u) ),
inference(res,[status(thm),theory(equality)],[252,4768]),
[iquote('0:Res:252.1,4768.0')] ).
cnf(20640,plain,
cyclic(skc18,skc18,skc19,u),
inference(mrr,[status(thm)],[20616,247]),
[iquote('0:MRR:20616.0,247.0')] ).
cnf(20674,plain,
para(skc19,skc18,skc19,skc18),
inference(res,[status(thm),theory(equality)],[20640,619]),
[iquote('0:Res:20640.0,619.0')] ).
cnf(21074,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[20674,5001]),
[iquote('0:Res:20674.0,5001.0')] ).
cnf(21078,plain,
( coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(mrr,[status(thm)],[1158,21074]),
[iquote('0:MRR:1158.0,21074.0')] ).
cnf(21079,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[1591,21074]),
[iquote('0:MRR:1591.0,21074.0')] ).
cnf(21081,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4768,21074]),
[iquote('0:MRR:4768.0,21074.0')] ).
cnf(21375,plain,
( coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(res,[status(thm),theory(equality)],[21078,25]),
[iquote('0:Res:21078.1,25.0')] ).
cnf(21385,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[21375,21079]),
[iquote('0:MRR:21375.0,21079.0')] ).
cnf(21432,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)],[5014,21385]),
[iquote('0:MRR:5014.3,21385.0')] ).
cnf(25401,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[21081,99]),
[iquote('0:Res:21081.0,99.0')] ).
cnf(25402,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[21081,51]),
[iquote('0:Res:21081.0,51.0')] ).
cnf(25464,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[25402,21081]),
[iquote('0:MRR:25402.0,21081.0')] ).
cnf(25468,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[125,25464]),
[iquote('0:MRR:125.2,125.1,125.0,25464.0')] ).
cnf(25483,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[73,25464]),
[iquote('0:MRR:73.1,25464.0')] ).
cnf(25485,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2493,25464]),
[iquote('0:MRR:2493.1,2493.0,25464.0')] ).
cnf(25517,plain,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,w,x,w,v)
| eqangle(y,z,x1,x2,u,x,w,x) ),
inference(mrr,[status(thm)],[8659,25464]),
[iquote('0:MRR:8659.1,25464.0')] ).
cnf(25688,plain,
( ~ para(u,v,u,w)
| cong(x,v,x,w) ),
inference(mrr,[status(thm)],[21432,25464]),
[iquote('0:MRR:21432.2,21432.1,25464.0')] ).
cnf(25848,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[25401,25485]),
[iquote('0:MRR:25401.0,25401.1,25485.0,25485.0')] ).
cnf(25864,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[96,25848]),
[iquote('0:MRR:96.0,25848.0')] ).
cnf(25873,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[25483,25848]),
[iquote('0:MRR:25483.0,25848.0')] ).
cnf(29622,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[25873,25864]),
[iquote('0:Res:25873.0,25864.0')] ).
cnf(31466,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[29622,25468]),
[iquote('0:Res:29622.0,25468.0')] ).
cnf(31486,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[53,31466]),
[iquote('0:MRR:53.1,53.0,31466.0')] ).
cnf(31514,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[48,31486]),
[iquote('0:MRR:48.1,48.0,31486.0')] ).
cnf(33353,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[17,31514]),
[iquote('0:MRR:17.0,31514.0')] ).
cnf(33449,plain,
( ~ midp(u,v,w)
| ~ circle(x,y,v,w)
| eqangle(z,x1,y,w,x,v,x,u) ),
inference(mrr,[status(thm)],[14628,31514]),
[iquote('0:MRR:14628.0,31514.0')] ).
cnf(33478,plain,
( ~ eqangle(u,v,w,x,y,z,y,x1)
| eqangle(u,v,w,x,x2,z,y,z) ),
inference(mrr,[status(thm)],[25517,31514]),
[iquote('0:MRR:25517.0,31514.0')] ).
cnf(33489,plain,
cong(u,v,u,w),
inference(mrr,[status(thm)],[25688,31514]),
[iquote('0:MRR:25688.0,31514.0')] ).
cnf(34572,plain,
( ~ cong(u,v,u,w)
| midp(u,v,w) ),
inference(mrr,[status(thm)],[43,33353]),
[iquote('0:MRR:43.0,33353.0')] ).
cnf(35137,plain,
circle(u,v,w,x),
inference(mrr,[status(thm)],[50,33489]),
[iquote('0:MRR:50.1,50.0,33489.0')] ).
cnf(35274,plain,
( ~ midp(u,v,w)
| ~ eqangle(x,y,z,x1,x2,v,x3,v)
| eqangle(x,y,z,x1,x2,w,x3,u) ),
inference(mrr,[status(thm)],[7775,35137]),
[iquote('0:MRR:7775.1,35137.0')] ).
cnf(35318,plain,
midp(u,v,w),
inference(mrr,[status(thm)],[34572,33489]),
[iquote('0:MRR:34572.0,33489.0')] ).
cnf(35416,plain,
eqangle(u,v,w,x,y,z,y,x1),
inference(mrr,[status(thm)],[33449,35318,35137]),
[iquote('0:MRR:33449.0,33449.1,35318.0,35137.0')] ).
cnf(35417,plain,
eqangle(u,v,w,x,y,z,x1,z),
inference(mrr,[status(thm)],[33478,35416]),
[iquote('0:MRR:33478.0,35416.0')] ).
cnf(35429,plain,
eqangle(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[35274,35318,35417]),
[iquote('0:MRR:35274.0,35274.1,35318.0,35417.0')] ).
cnf(35430,plain,
$false,
inference(unc,[status(thm)],[35429,16]),
[iquote('0:UnC:35429.0,16.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO584+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 23:01:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 24.36/24.55
% 24.36/24.55 SPASS V 3.9
% 24.36/24.55 SPASS beiseite: Proof found.
% 24.36/24.55 % SZS status Theorem
% 24.36/24.55 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.36/24.55 SPASS derived 34587 clauses, backtracked 0 clauses, performed 2 splits and kept 17163 clauses.
% 24.36/24.55 SPASS allocated 108269 KBytes.
% 24.36/24.55 SPASS spent 0:0:24.08 on the problem.
% 24.36/24.55 0:00:00.04 for the input.
% 24.36/24.55 0:00:00.22 for the FLOTTER CNF translation.
% 24.36/24.55 0:00:00.43 for inferences.
% 24.36/24.55 0:00:00.21 for the backtracking.
% 24.36/24.55 0:0:22.66 for the reduction.
% 24.36/24.55
% 24.36/24.55
% 24.36/24.55 Here is a proof with depth 5, length 85 :
% 24.36/24.55 % SZS output start Refutation
% See solution above
% 24.36/24.55 Formulae used in the proof : exemplo6GDDFULL416046 ruleD66 ruleD8 ruleD16 ruleD39 ruleD40 ruleD41 ruleD67 ruleD9 ruleD12 ruleD17 ruleD56 ruleD18 ruleD19 ruleD20 ruleD21 ruleD42a ruleX14 ruleD50 ruleD42b ruleD54 ruleD48 ruleD57 ruleD22 ruleD43
% 24.36/24.55
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