TSTP Solution File: GEO658+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO658+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 06:25:46 EDT 2022
% Result : Theorem 10.69s 10.84s
% Output : Refutation 10.69s
% 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(11,axiom,
perp(skc9,skc13,skc15,skc14),
file('GEO658+1.p',unknown),
[] ).
cnf(12,axiom,
~ para(skc10,skc9,skc11,skc12),
file('GEO658+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO658+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO658+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO658+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO658+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO658+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO658+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO658+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO658+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO658+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO658+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO658+1.p',unknown),
[] ).
cnf(83,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO658+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO658+1.p',unknown),
[] ).
cnf(99,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO658+1.p',unknown),
[] ).
cnf(125,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('GEO658+1.p',unknown),
[] ).
cnf(387,plain,
perp(skc15,skc14,skc9,skc13),
inference(res,[status(thm),theory(equality)],[11,22]),
[iquote('0:Res:11.0,22.0')] ).
cnf(787,plain,
( ~ perp(u,v,skc9,skc13)
| para(u,v,skc15,skc14) ),
inference(res,[status(thm),theory(equality)],[11,48]),
[iquote('0:Res:11.0,48.0')] ).
cnf(1087,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[38,61]),
[iquote('0:Res:38.1,61.0')] ).
cnf(1116,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[38,59]),
[iquote('0:Res:38.1,59.0')] ).
cnf(2140,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)],[39,125]),
[iquote('0:Res:39.1,125.3')] ).
cnf(2142,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)],[2140]),
[iquote('0:Obv:2140.0')] ).
cnf(2143,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2142]),
[iquote('0:Con:2142.2')] ).
cnf(2941,plain,
para(skc15,skc14,skc15,skc14),
inference(res,[status(thm),theory(equality)],[387,787]),
[iquote('0:Res:387.0,787.0')] ).
cnf(3789,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1087,66]),
[iquote('0:Res:1087.1,66.0')] ).
cnf(3800,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1087,83]),
[iquote('0:Res:1087.1,83.1')] ).
cnf(3818,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[3800,3789]),
[iquote('0:MRR:3800.1,3789.1')] ).
cnf(4042,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1116,37]),
[iquote('0:Res:1116.1,37.0')] ).
cnf(12242,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[2941,4042]),
[iquote('0:Res:2941.0,4042.0')] ).
cnf(12257,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[3818,12242]),
[iquote('0:MRR:3818.0,12242.0')] ).
cnf(14294,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[12257,99]),
[iquote('0:Res:12257.0,99.0')] ).
cnf(14295,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[12257,51]),
[iquote('0:Res:12257.0,51.0')] ).
cnf(14345,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[14295,12257]),
[iquote('0:MRR:14295.0,12257.0')] ).
cnf(14349,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[125,14345]),
[iquote('0:MRR:125.2,125.1,125.0,14345.0')] ).
cnf(14364,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[73,14345]),
[iquote('0:MRR:73.1,14345.0')] ).
cnf(14366,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2143,14345]),
[iquote('0:MRR:2143.1,2143.0,14345.0')] ).
cnf(14581,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[14294,14366]),
[iquote('0:MRR:14294.0,14294.1,14366.0,14366.0')] ).
cnf(14595,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[96,14581]),
[iquote('0:MRR:96.0,14581.0')] ).
cnf(14603,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[14364,14581]),
[iquote('0:MRR:14364.0,14581.0')] ).
cnf(16602,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[14603,14595]),
[iquote('0:Res:14603.0,14595.0')] ).
cnf(17902,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[16602,14349]),
[iquote('0:Res:16602.0,14349.0')] ).
cnf(17922,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[53,17902]),
[iquote('0:MRR:53.1,53.0,17902.0')] ).
cnf(17942,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[48,17922]),
[iquote('0:MRR:48.1,48.0,17922.0')] ).
cnf(18294,plain,
$false,
inference(unc,[status(thm)],[17942,12]),
[iquote('0:UnC:17942.0,12.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO658+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 08:17:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 10.69/10.84
% 10.69/10.84 SPASS V 3.9
% 10.69/10.84 SPASS beiseite: Proof found.
% 10.69/10.84 % SZS status Theorem
% 10.69/10.84 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.69/10.84 SPASS derived 17650 clauses, backtracked 0 clauses, performed 0 splits and kept 10612 clauses.
% 10.69/10.84 SPASS allocated 98483 KBytes.
% 10.69/10.84 SPASS spent 0:0:10.38 on the problem.
% 10.69/10.84 0:00:00.04 for the input.
% 10.69/10.84 0:00:00.21 for the FLOTTER CNF translation.
% 10.69/10.84 0:00:00.43 for inferences.
% 10.69/10.84 0:00:00.00 for the backtracking.
% 10.69/10.84 0:00:09.32 for the reduction.
% 10.69/10.84
% 10.69/10.84
% 10.69/10.84 Here is a proof with depth 3, length 45 :
% 10.69/10.84 % SZS output start Refutation
% See solution above
% 10.69/10.84 Formulae used in the proof : exemplo6GDDFULLmoreE02316 ruleD8 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD43
% 10.69/10.84
%------------------------------------------------------------------------------