TSTP Solution File: GEO570+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO570+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 19.25s 19.50s
% Output : Refutation 19.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 21
% Syntax : Number of clauses : 60 ( 19 unt; 2 nHn; 60 RR)
% Number of literals : 128 ( 0 equ; 67 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 : 18 ( 18 usr; 17 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
coll(skc15,skc14,skc13),
file('GEO570+1.p',unknown),
[] ).
cnf(6,axiom,
perp(skc15,skc12,skc14,skc13),
file('GEO570+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO570+1.p',unknown),
[] ).
cnf(13,axiom,
~ eqangle(skc14,skc12,skc12,skc11,skc15,skc12,skc12,skc13),
file('GEO570+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO570+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO570+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO570+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO570+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO570+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO570+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO570+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO570+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('GEO570+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('GEO570+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('GEO570+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('GEO570+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('GEO570+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('GEO570+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('GEO570+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('GEO570+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('GEO570+1.p',unknown),
[] ).
cnf(194,plain,
coll(skc15,skc13,skc14),
inference(res,[status(thm),theory(equality)],[1,9]),
[iquote('0:Res:1.0,9.0')] ).
cnf(354,plain,
perp(skc14,skc13,skc15,skc12),
inference(res,[status(thm),theory(equality)],[6,19]),
[iquote('0:Res:6.0,19.0')] ).
cnf(425,plain,
( ~ coll(skc15,skc13,u)
| coll(u,skc14,skc15) ),
inference(res,[status(thm),theory(equality)],[194,27]),
[iquote('0:Res:194.0,27.0')] ).
cnf(520,plain,
coll(skc14,skc14,skc15),
inference(res,[status(thm),theory(equality)],[194,425]),
[iquote('0:Res:194.0,425.0')] ).
cnf(614,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[36,34]),
[iquote('0:Res:36.1,34.0')] ).
cnf(821,plain,
( ~ perp(u,v,skc15,skc12)
| para(u,v,skc14,skc13) ),
inference(res,[status(thm),theory(equality)],[6,45]),
[iquote('0:Res:6.0,45.0')] ).
cnf(1193,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(1232,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(1447,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(2387,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)],[35,116]),
[iquote('0:Res:35.1,116.0')] ).
cnf(2509,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(2511,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)],[2509]),
[iquote('0:Obv:2509.0')] ).
cnf(2512,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2511]),
[iquote('0:Con:2511.2')] ).
cnf(4451,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1193,63]),
[iquote('0:Res:1193.1,63.0')] ).
cnf(4462,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1193,80]),
[iquote('0:Res:1193.1,80.1')] ).
cnf(4478,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4462,4451]),
[iquote('0:MRR:4462.1,4451.1')] ).
cnf(4809,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1232,34]),
[iquote('0:Res:1232.1,34.0')] ).
cnf(5224,plain,
( ~ perp(skc14,skc13,skc15,skc12)
| ~ coll(skc14,skc14,u)
| cyclic(skc13,u,skc14,skc14) ),
inference(res,[status(thm),theory(equality)],[821,1447]),
[iquote('0:Res:821.1,1447.0')] ).
cnf(5227,plain,
( ~ coll(skc14,skc14,u)
| cyclic(skc13,u,skc14,skc14) ),
inference(mrr,[status(thm)],[5224,354]),
[iquote('0:MRR:5224.0,354.0')] ).
cnf(7933,plain,
( ~ coll(skc14,skc14,u)
| para(skc14,skc13,skc14,skc13) ),
inference(res,[status(thm),theory(equality)],[5227,614]),
[iquote('0:Res:5227.1,614.0')] ).
cnf(7939,plain,
para(skc14,skc13,skc14,skc13),
inference(res,[status(thm),theory(equality)],[520,7933]),
[iquote('0:Res:520.0,7933.0')] ).
cnf(12409,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)],[1232,2387]),
[iquote('0:Res:1232.1,2387.1')] ).
cnf(16725,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[7939,4809]),
[iquote('0:Res:7939.0,4809.0')] ).
cnf(16753,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4478,16725]),
[iquote('0:MRR:4478.0,16725.0')] ).
cnf(19357,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[16753,96]),
[iquote('0:Res:16753.0,96.0')] ).
cnf(19358,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[16753,48]),
[iquote('0:Res:16753.0,48.0')] ).
cnf(19444,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[19358,16753]),
[iquote('0:MRR:19358.0,16753.0')] ).
cnf(19448,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[122,19444]),
[iquote('0:MRR:122.2,122.1,122.0,19444.0')] ).
cnf(19463,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[70,19444]),
[iquote('0:MRR:70.1,19444.0')] ).
cnf(19465,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2512,19444]),
[iquote('0:MRR:2512.1,2512.0,19444.0')] ).
cnf(19837,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[19357,19465]),
[iquote('0:MRR:19357.0,19357.1,19465.0,19465.0')] ).
cnf(19853,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[93,19837]),
[iquote('0:MRR:93.0,19837.0')] ).
cnf(19862,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[19463,19837]),
[iquote('0:MRR:19463.0,19837.0')] ).
cnf(23234,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[19862,19853]),
[iquote('0:Res:19862.0,19853.0')] ).
cnf(25686,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[23234,19448]),
[iquote('0:Res:23234.0,19448.0')] ).
cnf(25706,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[50,25686]),
[iquote('0:MRR:50.1,50.0,25686.0')] ).
cnf(25770,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[45,25706]),
[iquote('0:MRR:45.1,45.0,25706.0')] ).
cnf(26897,plain,
eqangle(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[12409,25770]),
[iquote('0:MRR:12409.1,12409.0,25770.0')] ).
cnf(28716,plain,
$false,
inference(mrr,[status(thm)],[13,26897]),
[iquote('0:MRR:13.0,26897.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO570+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n026.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 : Sat Jun 18 09:46:09 EDT 2022
% 0.12/0.34 % CPUTime :
% 19.25/19.50
% 19.25/19.50 SPASS V 3.9
% 19.25/19.50 SPASS beiseite: Proof found.
% 19.25/19.50 % SZS status Theorem
% 19.25/19.50 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 19.25/19.50 SPASS derived 27226 clauses, backtracked 926 clauses, performed 1 splits and kept 14243 clauses.
% 19.25/19.50 SPASS allocated 104935 KBytes.
% 19.25/19.50 SPASS spent 0:0:19.06 on the problem.
% 19.25/19.50 0:00:00.04 for the input.
% 19.25/19.50 0:00:00.27 for the FLOTTER CNF translation.
% 19.25/19.50 0:00:00.37 for inferences.
% 19.25/19.50 0:00:00.00 for the backtracking.
% 19.25/19.50 0:0:18.00 for the reduction.
% 19.25/19.50
% 19.25/19.50
% 19.25/19.50 Here is a proof with depth 5, length 60 :
% 19.25/19.50 % SZS output start Refutation
% See solution above
% 19.25/19.50 Formulae used in the proof : exemplo6GDDFULL214032 ruleD1 ruleD8 ruleD3 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD22 ruleD43
% 19.25/19.50
%------------------------------------------------------------------------------