TSTP Solution File: GEO638+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO638+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 06:25:39 EDT 2022
% Result : Theorem 27.36s 27.61s
% Output : Refutation 27.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of clauses : 44 ( 14 unt; 2 nHn; 44 RR)
% Number of literals : 95 ( 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 : 14 ( 14 usr; 13 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
para(skc17,skc11,skc12,skc18),
file('GEO638+1.p',unknown),
[] ).
cnf(10,axiom,
~ perp(skc12,skc13,skc11,skc13),
file('GEO638+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO638+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO638+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO638+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO638+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ para(u,v,w,x)
| ~ para(y,z,u,v)
| para(y,z,w,x) ),
file('GEO638+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO638+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO638+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('GEO638+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('GEO638+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('GEO638+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('GEO638+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('GEO638+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('GEO638+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('GEO638+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('GEO638+1.p',unknown),
[] ).
cnf(387,plain,
para(skc12,skc18,skc17,skc11),
inference(res,[status(thm),theory(equality)],[6,18]),
[iquote('0:Res:6.0,18.0')] ).
cnf(915,plain,
( ~ para(u,v,skc17,skc11)
| para(u,v,skc12,skc18) ),
inference(res,[status(thm),theory(equality)],[6,45]),
[iquote('0:Res:6.0,45.0')] ).
cnf(1261,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(1293,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(2354,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(2356,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)],[2354]),
[iquote('0:Obv:2354.0')] ).
cnf(2357,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2356]),
[iquote('0:Con:2356.2')] ).
cnf(3875,plain,
para(skc12,skc18,skc12,skc18),
inference(res,[status(thm),theory(equality)],[387,915]),
[iquote('0:Res:387.0,915.0')] ).
cnf(5586,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1261,64]),
[iquote('0:Res:1261.1,64.0')] ).
cnf(5597,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1261,81]),
[iquote('0:Res:1261.1,81.1')] ).
cnf(5611,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[5597,5586]),
[iquote('0:MRR:5597.1,5586.1')] ).
cnf(5877,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1293,35]),
[iquote('0:Res:1293.1,35.0')] ).
cnf(18331,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[3875,5877]),
[iquote('0:Res:3875.0,5877.0')] ).
cnf(18351,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[5611,18331]),
[iquote('0:MRR:5611.0,18331.0')] ).
cnf(20283,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[18351,97]),
[iquote('0:Res:18351.0,97.0')] ).
cnf(20284,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[18351,49]),
[iquote('0:Res:18351.0,49.0')] ).
cnf(20404,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[20284,18351]),
[iquote('0:MRR:20284.0,18351.0')] ).
cnf(20408,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[123,20404]),
[iquote('0:MRR:123.2,123.1,123.0,20404.0')] ).
cnf(20423,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[71,20404]),
[iquote('0:MRR:71.1,20404.0')] ).
cnf(20425,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2357,20404]),
[iquote('0:MRR:2357.0,2357.1,20404.0')] ).
cnf(20887,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[20283,20425]),
[iquote('0:MRR:20283.0,20283.1,20425.0,20425.0')] ).
cnf(20894,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[94,20887]),
[iquote('0:MRR:94.0,20887.0')] ).
cnf(20908,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[20423,20887]),
[iquote('0:MRR:20423.0,20887.0')] ).
cnf(25311,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[20908,20894]),
[iquote('0:Res:20908.0,20894.0')] ).
cnf(26802,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[25311,20408]),
[iquote('0:Res:25311.0,20408.0')] ).
cnf(26822,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[51,26802]),
[iquote('0:MRR:51.1,51.0,26802.0')] ).
cnf(26852,plain,
$false,
inference(unc,[status(thm)],[26822,10]),
[iquote('0:UnC:26822.0,10.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : GEO638+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.10 % Command : run_spass %d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Sat Jun 18 03:09:16 EDT 2022
% 0.10/0.30 % CPUTime :
% 27.36/27.61
% 27.36/27.61 SPASS V 3.9
% 27.36/27.61 SPASS beiseite: Proof found.
% 27.36/27.61 % SZS status Theorem
% 27.36/27.61 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.36/27.61 SPASS derived 26060 clauses, backtracked 0 clauses, performed 1 splits and kept 14641 clauses.
% 27.36/27.61 SPASS allocated 104645 KBytes.
% 27.36/27.61 SPASS spent 0:0:27.00 on the problem.
% 27.36/27.61 0:00:00.02 for the input.
% 27.36/27.61 0:00:00.20 for the FLOTTER CNF translation.
% 27.36/27.61 0:00:00.74 for inferences.
% 27.36/27.61 0:00:00.03 for the backtracking.
% 27.36/27.61 0:0:25.25 for the reduction.
% 27.36/27.61
% 27.36/27.61
% 27.36/27.61 Here is a proof with depth 3, length 44 :
% 27.36/27.61 % SZS output start Refutation
% See solution above
% 27.36/27.61 Formulae used in the proof : exemplo6GDDFULL81109104 ruleD5 ruleD39 ruleD40 ruleD41 ruleD6 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD43
% 27.36/27.61
%------------------------------------------------------------------------------