TSTP Solution File: GEO597+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO597+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 06:25:26 EDT 2022
% Result : Theorem 35.38s 35.60s
% Output : Refutation 35.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 29
% Syntax : Number of clauses : 90 ( 31 unt; 2 nHn; 90 RR)
% Number of literals : 186 ( 0 equ; 97 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(1,axiom,
midp(skc8,skc11,skc10),
file('GEO597+1.p',unknown),
[] ).
cnf(2,axiom,
coll(skc9,skc7,skc8),
file('GEO597+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO597+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO597+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO597+1.p',unknown),
[] ).
cnf(9,axiom,
~ eqangle(skc10,skc12,skc12,skc9,skc9,skc12,skc12,skc11),
file('GEO597+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO597+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO597+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,w,v,x) ),
file('GEO597+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO597+1.p',unknown),
[] ).
cnf(30,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO597+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO597+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO597+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO597+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ coll(u,v,w)
| ~ cong(u,v,u,w)
| midp(u,v,w) ),
file('GEO597+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO597+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ cong(u,v,u,w)
| ~ cong(u,v,u,x)
| circle(u,v,x,w) ),
file('GEO597+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO597+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO597+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO597+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO597+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO597+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO597+1.p',unknown),
[] ).
cnf(74,axiom,
( ~ midp(u,v,w)
| ~ circle(x,y,v,w)
| eqangle(y,v,y,w,x,v,x,u) ),
file('GEO597+1.p',unknown),
[] ).
cnf(76,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO597+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO597+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO597+1.p',unknown),
[] ).
cnf(112,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('GEO597+1.p',unknown),
[] ).
cnf(118,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('GEO597+1.p',unknown),
[] ).
cnf(124,plain,
( ~ coll(skc9,skc7,u)
| coll(u,skc8,skc9) ),
inference(res,[status(thm),theory(equality)],[2,23]),
[iquote('0:Res:2.0,23.1')] ).
cnf(155,plain,
( ~ midp(skc8,u,v)
| para(skc11,u,skc10,v) ),
inference(res,[status(thm),theory(equality)],[1,35]),
[iquote('0:Res:1.0,35.0')] ).
cnf(157,plain,
midp(skc8,skc10,skc11),
inference(res,[status(thm),theory(equality)],[1,7]),
[iquote('0:Res:1.0,7.0')] ).
cnf(193,plain,
( ~ eqangle(u,v,w,x,skc9,skc12,skc12,skc11)
| ~ eqangle(skc10,skc12,skc12,skc9,u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[112,9]),
[iquote('0:Res:112.2,9.0')] ).
cnf(210,plain,
coll(skc8,skc8,skc9),
inference(res,[status(thm),theory(equality)],[2,124]),
[iquote('0:Res:2.0,124.0')] ).
cnf(1583,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[31,54]),
[iquote('0:Res:31.1,54.0')] ).
cnf(1621,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[31,52]),
[iquote('0:Res:31.1,52.0')] ).
cnf(1826,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[31,76]),
[iquote('0:Res:31.1,76.1')] ).
cnf(1855,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)],[74,54]),
[iquote('0:Res:74.2,54.0')] ).
cnf(3015,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)],[31,112]),
[iquote('0:Res:31.1,112.0')] ).
cnf(3148,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)],[32,118]),
[iquote('0:Res:32.1,118.3')] ).
cnf(3150,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)],[3148]),
[iquote('0:Obv:3148.0')] ).
cnf(3151,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3150]),
[iquote('0:Con:3150.2')] ).
cnf(5637,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1583,59]),
[iquote('0:Res:1583.1,59.0')] ).
cnf(5648,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1583,76]),
[iquote('0:Res:1583.1,76.1')] ).
cnf(5661,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[5648,5637]),
[iquote('0:MRR:5648.1,5637.1')] ).
cnf(6338,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1621,30]),
[iquote('0:Res:1621.1,30.0')] ).
cnf(6349,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)],[1621,118]),
[iquote('0:Res:1621.1,118.3')] ).
cnf(11625,plain,
( ~ midp(skc11,u,skc12)
| ~ circle(skc12,skc9,u,skc12)
| ~ eqangle(skc10,skc12,skc12,skc9,skc9,u,skc12,u) ),
inference(res,[status(thm),theory(equality)],[1855,193]),
[iquote('0:Res:1855.2,193.0')] ).
cnf(15710,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)],[1621,3015]),
[iquote('0:Res:1621.1,3015.1')] ).
cnf(32927,plain,
( ~ coll(skc8,skc8,u)
| coll(u,skc9,skc8) ),
inference(res,[status(thm),theory(equality)],[210,23]),
[iquote('0:Res:210.0,23.0')] ).
cnf(51965,plain,
( ~ midp(skc8,u,v)
| para(skc11,u,v,skc10) ),
inference(res,[status(thm),theory(equality)],[155,12]),
[iquote('0:Res:155.1,12.0')] ).
cnf(76257,plain,
( ~ midp(skc8,skc10,skc11)
| para(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[51965,6338]),
[iquote('0:Res:51965.1,6338.0')] ).
cnf(76262,plain,
para(u,v,u,v),
inference(mrr,[status(thm)],[76257,157]),
[iquote('0:MRR:76257.0,157.0')] ).
cnf(76264,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[1826,76262]),
[iquote('0:MRR:1826.0,76262.0')] ).
cnf(76266,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[5661,76262]),
[iquote('0:MRR:5661.0,76262.0')] ).
cnf(76389,plain,
coll(u,v,v),
inference(res,[status(thm),theory(equality)],[76262,10]),
[iquote('0:Res:76262.0,10.0')] ).
cnf(76477,plain,
coll(u,v,u),
inference(res,[status(thm),theory(equality)],[76389,6]),
[iquote('0:Res:76389.0,6.0')] ).
cnf(76594,plain,
coll(u,u,v),
inference(res,[status(thm),theory(equality)],[76477,5]),
[iquote('0:Res:76477.0,5.0')] ).
cnf(76658,plain,
coll(u,skc9,skc8),
inference(mrr,[status(thm)],[32927,76594]),
[iquote('0:MRR:32927.0,76594.0')] ).
cnf(76690,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[76264,76594]),
[iquote('0:MRR:76264.0,76594.0')] ).
cnf(76820,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)],[6349,76690]),
[iquote('0:MRR:6349.3,76690.0')] ).
cnf(76840,plain,
coll(skc9,u,skc8),
inference(res,[status(thm),theory(equality)],[76658,6]),
[iquote('0:Res:76658.0,6.0')] ).
cnf(76846,plain,
cyclic(u,v,w,v),
inference(res,[status(thm),theory(equality)],[76690,17]),
[iquote('0:Res:76690.0,17.0')] ).
cnf(76849,plain,
( ~ cyclic(u,v,u,v)
| cong(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[76690,3151]),
[iquote('0:Res:76690.0,3151.0')] ).
cnf(76881,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[76849,76846]),
[iquote('0:MRR:76849.0,76846.0')] ).
cnf(77027,plain,
coll(skc9,skc8,u),
inference(res,[status(thm),theory(equality)],[76840,5]),
[iquote('0:Res:76840.0,5.0')] ).
cnf(77258,plain,
( ~ coll(skc9,skc8,u)
| coll(u,v,skc9) ),
inference(res,[status(thm),theory(equality)],[77027,23]),
[iquote('0:Res:77027.0,23.0')] ).
cnf(77261,plain,
coll(u,v,skc9),
inference(mrr,[status(thm)],[77258,77027]),
[iquote('0:MRR:77258.0,77027.0')] ).
cnf(77407,plain,
coll(u,skc9,v),
inference(res,[status(thm),theory(equality)],[77261,5]),
[iquote('0:Res:77261.0,5.0')] ).
cnf(77503,plain,
( ~ coll(u,skc9,v)
| coll(v,w,u) ),
inference(res,[status(thm),theory(equality)],[77407,23]),
[iquote('0:Res:77407.0,23.0')] ).
cnf(77521,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[77503,77407]),
[iquote('0:MRR:77503.0,77407.0')] ).
cnf(77522,plain,
( ~ cong(u,v,u,w)
| midp(u,v,w) ),
inference(mrr,[status(thm)],[36,77521]),
[iquote('0:MRR:36.0,77521.0')] ).
cnf(78144,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[76266,92]),
[iquote('0:Res:76266.0,92.0')] ).
cnf(78145,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[76266,44]),
[iquote('0:Res:76266.0,44.0')] ).
cnf(78196,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[78145,76266]),
[iquote('0:MRR:78145.0,76266.0')] ).
cnf(78200,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[118,78196]),
[iquote('0:MRR:118.2,118.1,118.0,78196.0')] ).
cnf(78215,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[66,78196]),
[iquote('0:MRR:66.1,78196.0')] ).
cnf(78389,plain,
( ~ para(u,v,u,w)
| cong(x,v,x,w) ),
inference(mrr,[status(thm)],[76820,78196]),
[iquote('0:MRR:76820.2,76820.1,78196.0')] ).
cnf(78428,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[78144,76881]),
[iquote('0:MRR:78144.0,78144.1,76881.0,76881.0')] ).
cnf(78433,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[89,78428]),
[iquote('0:MRR:89.0,78428.0')] ).
cnf(78460,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[78215,78428]),
[iquote('0:MRR:78215.0,78428.0')] ).
cnf(78924,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[78460,78433]),
[iquote('0:Res:78460.0,78433.0')] ).
cnf(79231,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[78924,78200]),
[iquote('0:Res:78924.0,78200.0')] ).
cnf(79239,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[46,79231]),
[iquote('0:MRR:46.1,46.0,79231.0')] ).
cnf(79256,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[41,79239]),
[iquote('0:MRR:41.1,41.0,79239.0')] ).
cnf(79429,plain,
cong(u,v,u,w),
inference(mrr,[status(thm)],[78389,79256]),
[iquote('0:MRR:78389.0,79256.0')] ).
cnf(79444,plain,
eqangle(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[15710,79256]),
[iquote('0:MRR:15710.1,15710.0,79256.0')] ).
cnf(79753,plain,
circle(u,v,w,x),
inference(mrr,[status(thm)],[43,79429]),
[iquote('0:MRR:43.1,43.0,79429.0')] ).
cnf(79760,plain,
midp(u,v,w),
inference(mrr,[status(thm)],[77522,79429]),
[iquote('0:MRR:77522.0,79429.0')] ).
cnf(80409,plain,
$false,
inference(mrr,[status(thm)],[11625,79760,79753,79444]),
[iquote('0:MRR:11625.0,11625.1,11625.2,79760.0,79753.0,79444.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO597+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 07:24:53 EDT 2022
% 0.19/0.33 % CPUTime :
% 35.38/35.60
% 35.38/35.60 SPASS V 3.9
% 35.38/35.60 SPASS beiseite: Proof found.
% 35.38/35.60 % SZS status Theorem
% 35.38/35.60 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 35.38/35.60 SPASS derived 76821 clauses, backtracked 3087 clauses, performed 3 splits and kept 24072 clauses.
% 35.38/35.60 SPASS allocated 123862 KBytes.
% 35.38/35.60 SPASS spent 0:0:34.77 on the problem.
% 35.38/35.60 0:00:00.04 for the input.
% 35.38/35.60 0:00:00.20 for the FLOTTER CNF translation.
% 35.38/35.60 0:00:00.92 for inferences.
% 35.38/35.60 0:00:00.13 for the backtracking.
% 35.38/35.60 0:0:32.60 for the reduction.
% 35.38/35.60
% 35.38/35.60
% 35.38/35.60 Here is a proof with depth 8, length 90 :
% 35.38/35.60 % SZS output start Refutation
% See solution above
% 35.38/35.60 Formulae used in the proof : exemplo6GDDFULL416059 ruleD1 ruleD2 ruleD11 ruleD66 ruleD4 ruleD15 ruleD3 ruleD39 ruleD40 ruleD41 ruleD63 ruleD67 ruleD9 ruleD12 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD50 ruleD42b ruleD48 ruleD57 ruleD22 ruleD43
% 35.38/35.60
%------------------------------------------------------------------------------