TSTP Solution File: GEO553+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO553+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 06:25:12 EDT 2022
% Result : Theorem 22.98s 23.19s
% Output : Refutation 22.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of clauses : 45 ( 15 unt; 2 nHn; 45 RR)
% Number of literals : 96 ( 0 equ; 50 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 : 16 ( 16 usr; 15 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
perp(skc10,skc12,skc15,skc14),
file('GEO553+1.p',unknown),
[] ).
cnf(11,axiom,
~ para(skc8,skc9,skc10,skc11),
file('GEO553+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO553+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO553+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO553+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO553+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO553+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO553+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO553+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO553+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO553+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO553+1.p',unknown),
[] ).
cnf(72,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO553+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO553+1.p',unknown),
[] ).
cnf(95,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO553+1.p',unknown),
[] ).
cnf(98,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO553+1.p',unknown),
[] ).
cnf(124,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('GEO553+1.p',unknown),
[] ).
cnf(246,plain,
perp(skc15,skc14,skc10,skc12),
inference(res,[status(thm),theory(equality)],[9,21]),
[iquote('0:Res:9.0,21.0')] ).
cnf(251,plain,
( ~ perp(u,v,skc10,skc12)
| para(u,v,skc15,skc14) ),
inference(res,[status(thm),theory(equality)],[9,47]),
[iquote('0:Res:9.0,47.1')] ).
cnf(1262,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[37,60]),
[iquote('0:Res:37.1,60.0')] ).
cnf(1308,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[37,58]),
[iquote('0:Res:37.1,58.0')] ).
cnf(2923,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)],[38,124]),
[iquote('0:Res:38.1,124.3')] ).
cnf(2925,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)],[2923]),
[iquote('0:Obv:2923.0')] ).
cnf(2926,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2925]),
[iquote('0:Con:2925.2')] ).
cnf(3089,plain,
para(skc15,skc14,skc15,skc14),
inference(res,[status(thm),theory(equality)],[246,251]),
[iquote('0:Res:246.0,251.0')] ).
cnf(5075,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1262,65]),
[iquote('0:Res:1262.1,65.0')] ).
cnf(5086,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1262,82]),
[iquote('0:Res:1262.1,82.1')] ).
cnf(5102,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[5086,5075]),
[iquote('0:MRR:5086.1,5075.1')] ).
cnf(5350,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1308,36]),
[iquote('0:Res:1308.1,36.0')] ).
cnf(18613,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[3089,5350]),
[iquote('0:Res:3089.0,5350.0')] ).
cnf(18639,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[5102,18613]),
[iquote('0:MRR:5102.0,18613.0')] ).
cnf(21497,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[18639,98]),
[iquote('0:Res:18639.0,98.0')] ).
cnf(21498,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[18639,50]),
[iquote('0:Res:18639.0,50.0')] ).
cnf(21554,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[21498,18639]),
[iquote('0:MRR:21498.0,18639.0')] ).
cnf(21558,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[124,21554]),
[iquote('0:MRR:124.2,124.1,124.0,21554.0')] ).
cnf(21573,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[72,21554]),
[iquote('0:MRR:72.1,21554.0')] ).
cnf(21574,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2926,21554]),
[iquote('0:MRR:2926.1,2926.0,21554.0')] ).
cnf(21941,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[21497,21574]),
[iquote('0:MRR:21497.0,21497.1,21574.0,21574.0')] ).
cnf(21953,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[95,21941]),
[iquote('0:MRR:95.0,21941.0')] ).
cnf(21962,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[21573,21941]),
[iquote('0:MRR:21573.0,21941.0')] ).
cnf(25483,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[21962,21953]),
[iquote('0:Res:21962.0,21953.0')] ).
cnf(26760,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[25483,21558]),
[iquote('0:Res:25483.0,21558.0')] ).
cnf(26780,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[52,26760]),
[iquote('0:MRR:52.1,52.0,26760.0')] ).
cnf(26814,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[47,26780]),
[iquote('0:MRR:47.1,47.0,26780.0')] ).
cnf(27631,plain,
$false,
inference(unc,[status(thm)],[26814,11]),
[iquote('0:UnC:26814.0,11.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO553+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 16:32:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 22.98/23.19
% 22.98/23.19 SPASS V 3.9
% 22.98/23.19 SPASS beiseite: Proof found.
% 22.98/23.19 % SZS status Theorem
% 22.98/23.19 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.98/23.19 SPASS derived 26737 clauses, backtracked 0 clauses, performed 0 splits and kept 16440 clauses.
% 22.98/23.19 SPASS allocated 104566 KBytes.
% 22.98/23.19 SPASS spent 0:0:22.62 on the problem.
% 22.98/23.19 0:00:00.04 for the input.
% 22.98/23.19 0:00:00.25 for the FLOTTER CNF translation.
% 22.98/23.19 0:00:00.55 for inferences.
% 22.98/23.19 0:00:00.00 for the backtracking.
% 22.98/23.19 0:0:21.13 for the reduction.
% 22.98/23.19
% 22.98/23.19
% 22.98/23.19 Here is a proof with depth 3, length 45 :
% 22.98/23.19 % SZS output start Refutation
% See solution above
% 22.98/23.19 Formulae used in the proof : exemplo6GDDFULL012013 ruleD8 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD43
% 22.98/23.19
%------------------------------------------------------------------------------