TSTP Solution File: GEO602+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO602+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 06:25:28 EDT 2022
% Result : Theorem 7.03s 7.26s
% Output : Refutation 7.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of clauses : 46 ( 15 unt; 2 nHn; 46 RR)
% Number of literals : 98 ( 0 equ; 51 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 : 17 ( 17 usr; 15 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(8,axiom,
circle(skc24,skc21,skc22,skc29),
file('GEO602+1.p',unknown),
[] ).
cnf(12,axiom,
~ perp(skc22,skc19,skc18,skc23),
file('GEO602+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO602+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ circle(u,v,w,x)
| perp(skf31(u,v),v,v,u) ),
file('GEO602+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO602+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO602+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO602+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO602+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO602+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO602+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('GEO602+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('GEO602+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('GEO602+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('GEO602+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('GEO602+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('GEO602+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('GEO602+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('GEO602+1.p',unknown),
[] ).
cnf(253,plain,
perp(skf31(skc24,skc21),skc21,skc21,skc24),
inference(res,[status(thm),theory(equality)],[8,29]),
[iquote('0:Res:8.0,29.0')] ).
cnf(350,plain,
perp(skc21,skc24,skf31(skc24,skc21),skc21),
inference(res,[status(thm),theory(equality)],[253,22]),
[iquote('0:Res:253.0,22.0')] ).
cnf(812,plain,
( ~ perp(u,v,skf31(skc24,skc21),skc21)
| para(u,v,skc21,skc24) ),
inference(res,[status(thm),theory(equality)],[253,48]),
[iquote('0:Res:253.0,48.0')] ).
cnf(1236,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(1275,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(2665,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(2667,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)],[2665]),
[iquote('0:Obv:2665.0')] ).
cnf(2668,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2667]),
[iquote('0:Con:2667.2')] ).
cnf(3916,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1236,66]),
[iquote('0:Res:1236.1,66.0')] ).
cnf(3927,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1236,83]),
[iquote('0:Res:1236.1,83.1')] ).
cnf(3943,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[3927,3916]),
[iquote('0:MRR:3927.1,3916.1')] ).
cnf(4212,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1275,37]),
[iquote('0:Res:1275.1,37.0')] ).
cnf(11821,plain,
para(skc21,skc24,skc21,skc24),
inference(res,[status(thm),theory(equality)],[350,812]),
[iquote('0:Res:350.0,812.0')] ).
cnf(11858,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[11821,4212]),
[iquote('0:Res:11821.0,4212.0')] ).
cnf(11875,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[3943,11858]),
[iquote('0:MRR:3943.0,11858.0')] ).
cnf(13404,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[11875,99]),
[iquote('0:Res:11875.0,99.0')] ).
cnf(13405,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[11875,51]),
[iquote('0:Res:11875.0,51.0')] ).
cnf(13458,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[13405,11875]),
[iquote('0:MRR:13405.0,11875.0')] ).
cnf(13462,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[125,13458]),
[iquote('0:MRR:125.2,125.1,125.0,13458.0')] ).
cnf(13477,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[73,13458]),
[iquote('0:MRR:73.1,13458.0')] ).
cnf(13479,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2668,13458]),
[iquote('0:MRR:2668.1,2668.0,13458.0')] ).
cnf(13676,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[13404,13479]),
[iquote('0:MRR:13404.0,13404.1,13479.0,13479.0')] ).
cnf(13682,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[96,13676]),
[iquote('0:MRR:96.0,13676.0')] ).
cnf(13695,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[13477,13676]),
[iquote('0:MRR:13477.0,13676.0')] ).
cnf(14596,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[13695,13682]),
[iquote('0:Res:13695.0,13682.0')] ).
cnf(14860,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[14596,13462]),
[iquote('0:Res:14596.0,13462.0')] ).
cnf(14879,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[53,14860]),
[iquote('0:MRR:53.1,53.0,14860.0')] ).
cnf(14883,plain,
$false,
inference(unc,[status(thm)],[14879,12]),
[iquote('0:UnC:14879.0,12.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO602+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n028.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 : Fri Jun 17 20:59:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.03/7.26
% 7.03/7.26 SPASS V 3.9
% 7.03/7.26 SPASS beiseite: Proof found.
% 7.03/7.26 % SZS status Theorem
% 7.03/7.26 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.03/7.26 SPASS derived 14445 clauses, backtracked 0 clauses, performed 4 splits and kept 8127 clauses.
% 7.03/7.26 SPASS allocated 95189 KBytes.
% 7.03/7.26 SPASS spent 0:00:06.85 on the problem.
% 7.03/7.26 0:00:00.04 for the input.
% 7.03/7.26 0:00:00.21 for the FLOTTER CNF translation.
% 7.03/7.26 0:00:00.34 for inferences.
% 7.03/7.26 0:00:00.00 for the backtracking.
% 7.03/7.26 0:00:05.96 for the reduction.
% 7.03/7.26
% 7.03/7.26
% 7.03/7.26 Here is a proof with depth 4, length 46 :
% 7.03/7.26 % SZS output start Refutation
% See solution above
% 7.03/7.26 Formulae used in the proof : exemplo6GDDFULL618064 ruleD8 ruleX11 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD43
% 7.03/7.26
%------------------------------------------------------------------------------