TSTP Solution File: GEO571+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO571+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 06:25:18 EDT 2022
% Result : Theorem 57.63s 57.83s
% Output : Refutation 57.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 26
% Syntax : Number of clauses : 82 ( 22 unt; 5 nHn; 82 RR)
% Number of literals : 188 ( 0 equ; 102 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(8,axiom,
perp(skc9,skc10,skc9,skc11),
file('GEO571+1.p',unknown),
[] ).
cnf(13,axiom,
~ eqangle(skc14,skc13,skc13,skc12,skc11,skc13,skc13,skc9),
file('GEO571+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO571+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO571+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO571+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO571+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO571+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO571+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ coll(u,v,w)
| ~ cong(u,v,u,w)
| midp(u,v,w) ),
file('GEO571+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO571+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ cong(u,v,u,w)
| ~ cong(u,v,u,x)
| circle(u,v,x,w) ),
file('GEO571+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO571+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO571+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(v,u,w,x,y,z,x1,x2) ),
file('GEO571+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO571+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(y,z,x1,x2,u,v,w,x) ),
file('GEO571+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO571+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO571+1.p',unknown),
[] ).
cnf(70,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO571+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ midp(u,v,w)
| ~ circle(x,y,v,w)
| eqangle(y,v,y,w,x,v,x,u) ),
file('GEO571+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO571+1.p',unknown),
[] ).
cnf(91,axiom,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| eqangle(u,x,w,x,w,x,w,v) ),
file('GEO571+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO571+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO571+1.p',unknown),
[] ).
cnf(116,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('GEO571+1.p',unknown),
[] ).
cnf(122,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('GEO571+1.p',unknown),
[] ).
cnf(179,plain,
perp(skc9,skc11,skc9,skc10),
inference(res,[status(thm),theory(equality)],[8,19]),
[iquote('0:Res:8.0,19.0')] ).
cnf(185,plain,
( ~ perp(u,v,skc9,skc10)
| para(u,v,skc9,skc11) ),
inference(res,[status(thm),theory(equality)],[8,45]),
[iquote('0:Res:8.0,45.1')] ).
cnf(1347,plain,
( ~ para(u,v,u,v)
| coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[35,63]),
[iquote('0:Res:35.1,63.0')] ).
cnf(1447,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[35,58]),
[iquote('0:Res:35.1,58.0')] ).
cnf(1485,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[35,56]),
[iquote('0:Res:35.1,56.0')] ).
cnf(1507,plain,
( ~ para(u,v,w,x)
| eqangle(v,u,y,z,w,x,y,z) ),
inference(res,[status(thm),theory(equality)],[35,55]),
[iquote('0:Res:35.1,55.0')] ).
cnf(1809,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[35,80]),
[iquote('0:Res:35.1,80.1')] ).
cnf(1831,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)],[78,58]),
[iquote('0:Res:78.2,58.0')] ).
cnf(1993,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)],[91,57]),
[iquote('0:Res:91.2,57.0')] ).
cnf(2549,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)],[78,116]),
[iquote('0:Res:78.2,116.0')] ).
cnf(2649,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)],[36,122]),
[iquote('0:Res:36.1,122.3')] ).
cnf(2651,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)],[2649]),
[iquote('0:Obv:2649.0')] ).
cnf(2652,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2651]),
[iquote('0:Con:2651.2')] ).
cnf(5434,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1447,63]),
[iquote('0:Res:1447.1,63.0')] ).
cnf(5445,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1447,80]),
[iquote('0:Res:1447.1,80.1')] ).
cnf(5457,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[5445,5434]),
[iquote('0:MRR:5445.1,5434.1')] ).
cnf(5839,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1485,34]),
[iquote('0:Res:1485.1,34.0')] ).
cnf(5853,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)],[1485,122]),
[iquote('0:Res:1485.1,122.3')] ).
cnf(9256,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)],[1831,116]),
[iquote('0:Res:1831.2,116.0')] ).
cnf(9662,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)],[1993,116]),
[iquote('0:Res:1993.2,116.0')] ).
cnf(22081,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)],[1507,2549]),
[iquote('0:Res:1507.1,2549.2')] ).
cnf(60383,plain,
( ~ perp(skc9,skc11,skc9,skc10)
| para(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[185,5839]),
[iquote('0:Res:185.1,5839.0')] ).
cnf(60411,plain,
para(u,v,u,v),
inference(mrr,[status(thm)],[60383,179]),
[iquote('0:MRR:60383.0,179.0')] ).
cnf(60412,plain,
( coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(mrr,[status(thm)],[1347,60411]),
[iquote('0:MRR:1347.0,60411.0')] ).
cnf(60413,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[1809,60411]),
[iquote('0:MRR:1809.0,60411.0')] ).
cnf(60415,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[5457,60411]),
[iquote('0:MRR:5457.0,60411.0')] ).
cnf(60587,plain,
( coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(res,[status(thm),theory(equality)],[60412,22]),
[iquote('0:Res:60412.1,22.0')] ).
cnf(60602,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[60587,60413]),
[iquote('0:MRR:60587.0,60413.0')] ).
cnf(60643,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)],[5853,60602]),
[iquote('0:MRR:5853.3,60602.0')] ).
cnf(62981,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[60415,96]),
[iquote('0:Res:60415.0,96.0')] ).
cnf(62982,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[60415,48]),
[iquote('0:Res:60415.0,48.0')] ).
cnf(63042,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[62982,60415]),
[iquote('0:MRR:62982.0,60415.0')] ).
cnf(63043,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[122,63042]),
[iquote('0:MRR:122.2,122.1,122.0,63042.0')] ).
cnf(63061,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[70,63042]),
[iquote('0:MRR:70.1,63042.0')] ).
cnf(63063,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2652,63042]),
[iquote('0:MRR:2652.0,2652.1,63042.0')] ).
cnf(63123,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)],[9662,63042]),
[iquote('0:MRR:9662.1,63042.0')] ).
cnf(63268,plain,
( ~ para(u,v,u,w)
| cong(x,v,x,w) ),
inference(mrr,[status(thm)],[60643,63042]),
[iquote('0:MRR:60643.1,60643.2,63042.0')] ).
cnf(63299,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[62981,63063]),
[iquote('0:MRR:62981.0,62981.1,63063.0,63063.0')] ).
cnf(63305,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[93,63299]),
[iquote('0:MRR:93.0,63299.0')] ).
cnf(63335,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[63061,63299]),
[iquote('0:MRR:63061.0,63299.0')] ).
cnf(66923,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[63335,63305]),
[iquote('0:Res:63335.0,63305.0')] ).
cnf(67751,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[66923,63043]),
[iquote('0:Res:66923.0,63043.0')] ).
cnf(67753,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[50,67751]),
[iquote('0:MRR:50.1,50.0,67751.0')] ).
cnf(67775,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[45,67753]),
[iquote('0:MRR:45.1,45.0,67753.0')] ).
cnf(69038,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[14,67775]),
[iquote('0:MRR:14.0,67775.0')] ).
cnf(69090,plain,
cong(u,v,u,w),
inference(mrr,[status(thm)],[63268,67775]),
[iquote('0:MRR:63268.0,67775.0')] ).
cnf(69125,plain,
( ~ midp(u,v,w)
| ~ circle(x,y,v,w)
| eqangle(z,x1,y,w,x,v,x,u) ),
inference(mrr,[status(thm)],[22081,67775]),
[iquote('0:MRR:22081.0,67775.0')] ).
cnf(69153,plain,
( ~ eqangle(u,v,w,x,y,z,y,x1)
| eqangle(u,v,w,x,x2,z,y,z) ),
inference(mrr,[status(thm)],[63123,67775]),
[iquote('0:MRR:63123.0,67775.0')] ).
cnf(69349,plain,
( ~ cong(u,v,u,w)
| midp(u,v,w) ),
inference(mrr,[status(thm)],[40,69038]),
[iquote('0:MRR:40.0,69038.0')] ).
cnf(69452,plain,
circle(u,v,w,x),
inference(mrr,[status(thm)],[47,69090]),
[iquote('0:MRR:47.1,47.0,69090.0')] ).
cnf(69551,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)],[9256,69452]),
[iquote('0:MRR:9256.1,69452.0')] ).
cnf(69602,plain,
midp(u,v,w),
inference(mrr,[status(thm)],[69349,69090]),
[iquote('0:MRR:69349.0,69090.0')] ).
cnf(69709,plain,
eqangle(u,v,w,x,y,z,y,x1),
inference(mrr,[status(thm)],[69125,69602,69452]),
[iquote('0:MRR:69125.0,69125.1,69602.0,69452.0')] ).
cnf(69711,plain,
eqangle(u,v,w,x,y,z,x1,z),
inference(mrr,[status(thm)],[69153,69709]),
[iquote('0:MRR:69153.0,69709.0')] ).
cnf(69722,plain,
eqangle(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[69551,69602,69711]),
[iquote('0:MRR:69551.0,69551.1,69602.0,69711.0')] ).
cnf(69723,plain,
$false,
inference(unc,[status(thm)],[69722,13]),
[iquote('0:UnC:69722.0,13.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO571+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.14 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jun 17 19:07:36 EDT 2022
% 0.13/0.35 % CPUTime :
% 57.63/57.83
% 57.63/57.83 SPASS V 3.9
% 57.63/57.83 SPASS beiseite: Proof found.
% 57.63/57.83 % SZS status Theorem
% 57.63/57.83 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 57.63/57.83 SPASS derived 67713 clauses, backtracked 19010 clauses, performed 4 splits and kept 42734 clauses.
% 57.63/57.83 SPASS allocated 120787 KBytes.
% 57.63/57.83 SPASS spent 0:0:57.18 on the problem.
% 57.63/57.83 0:00:00.04 for the input.
% 57.63/57.83 0:00:00.23 for the FLOTTER CNF translation.
% 57.63/57.83 0:00:01.53 for inferences.
% 57.63/57.83 0:00:00.47 for the backtracking.
% 57.63/57.83 0:0:52.69 for the reduction.
% 57.63/57.83
% 57.63/57.83
% 57.63/57.83 Here is a proof with depth 3, length 82 :
% 57.63/57.83 % SZS output start Refutation
% See solution above
% 57.63/57.83 Formulae used in the proof : exemplo6GDDFULL214033 ruleD66 ruleD8 ruleD16 ruleD39 ruleD40 ruleD41 ruleD67 ruleD9 ruleD12 ruleD17 ruleD56 ruleD18 ruleD19 ruleD20 ruleD21 ruleD42a ruleX14 ruleD50 ruleD42b ruleD54 ruleD48 ruleD57 ruleD22 ruleD43
% 57.63/57.83
%------------------------------------------------------------------------------