TSTP Solution File: GEO544+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO544+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 06:25:09 EDT 2022
% Result : Theorem 24.55s 24.80s
% Output : Refutation 24.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of clauses : 45 ( 13 unt; 2 nHn; 45 RR)
% Number of literals : 101 ( 0 equ; 55 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 : 15 ( 15 usr; 14 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
cong(skc15,skc13,skc15,skc14),
file('GEO544+1.p',unknown),
[] ).
cnf(10,axiom,
~ perp(skc12,skc14,skc17,skc16),
file('GEO544+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO544+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO544+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO544+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO544+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO544+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('GEO544+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('GEO544+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('GEO544+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('GEO544+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('GEO544+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('GEO544+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('GEO544+1.p',unknown),
[] ).
cnf(100,axiom,
( ~ cong(u,v,u,w)
| ~ cong(u,v,u,x)
| ~ cong(u,v,u,y)
| cyclic(v,y,x,w) ),
file('GEO544+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('GEO544+1.p',unknown),
[] ).
cnf(648,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[37,35]),
[iquote('0:Res:37.1,35.0')] ).
cnf(1153,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(1190,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(1872,plain,
( ~ cong(skc15,skc13,skc15,u)
| ~ cong(skc15,skc13,skc15,v)
| cyclic(skc13,v,u,skc14) ),
inference(res,[status(thm),theory(equality)],[9,100]),
[iquote('0:Res:9.0,100.0')] ).
cnf(2414,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(2416,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)],[2414]),
[iquote('0:Obv:2414.0')] ).
cnf(2417,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2416]),
[iquote('0:Con:2416.2')] ).
cnf(4171,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1153,64]),
[iquote('0:Res:1153.1,64.0')] ).
cnf(4182,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1153,81]),
[iquote('0:Res:1153.1,81.1')] ).
cnf(4196,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4182,4171]),
[iquote('0:MRR:4182.1,4171.1')] ).
cnf(4429,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1190,35]),
[iquote('0:Res:1190.1,35.0')] ).
cnf(5757,plain,
( ~ cong(skc15,skc13,skc15,skc14)
| ~ cong(skc15,skc13,skc15,u)
| para(skc14,skc13,skc14,skc13) ),
inference(res,[status(thm),theory(equality)],[1872,648]),
[iquote('0:Res:1872.2,648.0')] ).
cnf(5758,plain,
( ~ cong(skc15,skc13,skc15,skc14)
| para(skc14,skc13,skc14,skc13) ),
inference(con,[status(thm)],[5757]),
[iquote('0:Con:5757.1')] ).
cnf(5759,plain,
para(skc14,skc13,skc14,skc13),
inference(mrr,[status(thm)],[5758,9]),
[iquote('0:MRR:5758.0,9.0')] ).
cnf(16477,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[5759,4429]),
[iquote('0:Res:5759.0,4429.0')] ).
cnf(16482,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4196,16477]),
[iquote('0:MRR:4196.0,16477.0')] ).
cnf(18741,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[16482,97]),
[iquote('0:Res:16482.0,97.0')] ).
cnf(18742,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[16482,49]),
[iquote('0:Res:16482.0,49.0')] ).
cnf(18841,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[18742,16482]),
[iquote('0:MRR:18742.0,16482.0')] ).
cnf(18845,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[123,18841]),
[iquote('0:MRR:123.2,123.1,123.0,18841.0')] ).
cnf(18860,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[71,18841]),
[iquote('0:MRR:71.1,18841.0')] ).
cnf(18862,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2417,18841]),
[iquote('0:MRR:2417.1,2417.0,18841.0')] ).
cnf(19339,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[18741,18862]),
[iquote('0:MRR:18741.0,18741.1,18862.0,18862.0')] ).
cnf(19347,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[94,19339]),
[iquote('0:MRR:94.0,19339.0')] ).
cnf(19360,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[18860,19339]),
[iquote('0:MRR:18860.0,19339.0')] ).
cnf(21335,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[19360,19347]),
[iquote('0:Res:19360.0,19347.0')] ).
cnf(22522,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[21335,18845]),
[iquote('0:Res:21335.0,18845.0')] ).
cnf(22542,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[51,22522]),
[iquote('0:MRR:51.1,51.0,22522.0')] ).
cnf(23513,plain,
$false,
inference(unc,[status(thm)],[22542,10]),
[iquote('0:UnC:22542.0,10.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : GEO544+1 : TPTP v8.1.0. Released v7.5.0.
% 0.09/0.15 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 06:44:48 EDT 2022
% 0.14/0.36 % CPUTime :
% 24.55/24.80
% 24.55/24.80 SPASS V 3.9
% 24.55/24.80 SPASS beiseite: Proof found.
% 24.55/24.80 % SZS status Theorem
% 24.55/24.80 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.55/24.80 SPASS derived 22306 clauses, backtracked 0 clauses, performed 0 splits and kept 14360 clauses.
% 24.55/24.80 SPASS allocated 103202 KBytes.
% 24.55/24.80 SPASS spent 0:0:24.19 on the problem.
% 24.55/24.80 0:00:00.04 for the input.
% 24.55/24.80 0:00:00.23 for the FLOTTER CNF translation.
% 24.55/24.80 0:00:00.56 for inferences.
% 24.55/24.80 0:00:00.00 for the backtracking.
% 24.55/24.80 0:0:22.67 for the reduction.
% 24.55/24.80
% 24.55/24.80
% 24.55/24.80 Here is a proof with depth 3, length 45 :
% 24.55/24.80 % SZS output start Refutation
% See solution above
% 24.55/24.80 Formulae used in the proof : exemplo6GDDFULL012004 ruleD39 ruleD40 ruleD41 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD13 ruleD43
% 24.55/24.80
%------------------------------------------------------------------------------