%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO559+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 06:25:14 EDT 2022
% Result : Theorem 8.86s 9.07s
% Output : Refutation 8.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 24
% Syntax : Number of clauses : 68 ( 27 unt; 2 nHn; 68 RR)
% Number of literals : 132 ( 0 equ; 65 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 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(1,axiom,
coll(skc12,skc16,skc10),
file('GEO559+1.p',unknown),
[] ).
cnf(4,axiom,
circle(skc17,skc16,skc14,skc11),
file('GEO559+1.p',unknown),
[] ).
cnf(7,axiom,
~ para(skc10,skc13,skc12,skc11),
file('GEO559+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO559+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO559+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO559+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO559+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ circle(u,v,w,x)
| perp(skf31(u,v),v,v,u) ),
file('GEO559+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO559+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO559+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO559+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO559+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ coll(u,v,w)
| ~ cong(u,v,u,w)
| midp(u,v,w) ),
file('GEO559+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ midp(u,v,w)
| ~ perp(v,x,x,w)
| cong(v,u,x,u) ),
file('GEO559+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO559+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO559+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO559+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO559+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO559+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO559+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ coll(u,v,w)
| ~ perp(x,y,y,u)
| perp(skf36(w,v,x),x,v,w) ),
file('GEO559+1.p',unknown),
[] ).
cnf(78,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO559+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO559+1.p',unknown),
[] ).
cnf(120,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('GEO559+1.p',unknown),
[] ).
cnf(149,plain,
( ~ coll(skc12,skc16,u)
| coll(u,skc10,skc12) ),
inference(res,[status(thm),theory(equality)],[1,25]),
[iquote('0:Res:1.0,25.1')] ).
cnf(192,plain,
perp(skf31(skc17,skc16),skc16,skc16,skc17),
inference(res,[status(thm),theory(equality)],[4,24]),
[iquote('0:Res:4.0,24.0')] ).
cnf(211,plain,
( ~ perp(u,v,skc12,skc11)
| ~ perp(skc10,skc13,u,v) ),
inference(res,[status(thm),theory(equality)],[43,7]),
[iquote('0:Res:43.2,7.0')] ).
cnf(216,plain,
coll(skc10,skc10,skc12),
inference(res,[status(thm),theory(equality)],[1,149]),
[iquote('0:Res:1.0,149.0')] ).
cnf(295,plain,
perp(skc16,skc17,skf31(skc17,skc16),skc16),
inference(res,[status(thm),theory(equality)],[192,17]),
[iquote('0:Res:192.0,17.0')] ).
cnf(387,plain,
( ~ coll(skc10,skc10,u)
| coll(u,skc12,skc10) ),
inference(res,[status(thm),theory(equality)],[216,25]),
[iquote('0:Res:216.0,25.0')] ).
cnf(756,plain,
( ~ perp(u,v,skf31(skc17,skc16),skc16)
| para(u,v,skc16,skc17) ),
inference(res,[status(thm),theory(equality)],[192,43]),
[iquote('0:Res:192.0,43.0')] ).
cnf(1359,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[33,56]),
[iquote('0:Res:33.1,56.0')] ).
cnf(1391,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[33,54]),
[iquote('0:Res:33.1,54.0')] ).
cnf(3316,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)],[34,120]),
[iquote('0:Res:34.1,120.3')] ).
cnf(3321,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)],[3316]),
[iquote('0:Obv:3316.0')] ).
cnf(3322,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3321]),
[iquote('0:Con:3321.2')] ).
cnf(4048,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1359,61]),
[iquote('0:Res:1359.1,61.0')] ).
cnf(4053,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1359,78]),
[iquote('0:Res:1359.1,78.1')] ).
cnf(4064,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4053,4048]),
[iquote('0:MRR:4053.1,4048.1')] ).
cnf(4264,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1391,32]),
[iquote('0:Res:1391.1,32.0')] ).
cnf(10268,plain,
para(skc16,skc17,skc16,skc17),
inference(res,[status(thm),theory(equality)],[295,756]),
[iquote('0:Res:295.0,756.0')] ).
cnf(10296,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[10268,4264]),
[iquote('0:Res:10268.0,4264.0')] ).
cnf(10309,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4064,10296]),
[iquote('0:MRR:4064.0,10296.0')] ).
cnf(10577,plain,
coll(u,v,v),
inference(res,[status(thm),theory(equality)],[10296,12]),
[iquote('0:Res:10296.0,12.0')] ).
cnf(10659,plain,
coll(u,v,u),
inference(res,[status(thm),theory(equality)],[10577,9]),
[iquote('0:Res:10577.0,9.0')] ).
cnf(10731,plain,
coll(u,u,v),
inference(res,[status(thm),theory(equality)],[10659,8]),
[iquote('0:Res:10659.0,8.0')] ).
cnf(10761,plain,
coll(u,skc12,skc10),
inference(mrr,[status(thm)],[387,10731]),
[iquote('0:MRR:387.0,10731.0')] ).
cnf(11024,plain,
coll(skc12,u,skc10),
inference(res,[status(thm),theory(equality)],[10761,9]),
[iquote('0:Res:10761.0,9.0')] ).
cnf(11111,plain,
coll(skc12,skc10,u),
inference(res,[status(thm),theory(equality)],[11024,8]),
[iquote('0:Res:11024.0,8.0')] ).
cnf(11204,plain,
( ~ coll(skc12,skc10,u)
| coll(u,v,skc12) ),
inference(res,[status(thm),theory(equality)],[11111,25]),
[iquote('0:Res:11111.0,25.0')] ).
cnf(11207,plain,
coll(u,v,skc12),
inference(mrr,[status(thm)],[11204,11111]),
[iquote('0:MRR:11204.0,11111.0')] ).
cnf(11490,plain,
coll(u,skc12,v),
inference(res,[status(thm),theory(equality)],[11207,8]),
[iquote('0:Res:11207.0,8.0')] ).
cnf(11726,plain,
( ~ coll(u,skc12,v)
| coll(v,w,u) ),
inference(res,[status(thm),theory(equality)],[11490,25]),
[iquote('0:Res:11490.0,25.0')] ).
cnf(11745,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[11726,11490]),
[iquote('0:MRR:11726.0,11490.0')] ).
cnf(11746,plain,
( ~ cong(u,v,u,w)
| midp(u,v,w) ),
inference(mrr,[status(thm)],[38,11745]),
[iquote('0:MRR:38.0,11745.0')] ).
cnf(11748,plain,
( ~ perp(u,v,v,w)
| perp(skf36(x,y,u),u,y,x) ),
inference(mrr,[status(thm)],[66,11745]),
[iquote('0:MRR:66.0,11745.0')] ).
cnf(12305,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[10309,94]),
[iquote('0:Res:10309.0,94.0')] ).
cnf(12306,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[10309,46]),
[iquote('0:Res:10309.0,46.0')] ).
cnf(12355,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[12306,10309]),
[iquote('0:MRR:12306.0,10309.0')] ).
cnf(12375,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3322,12355]),
[iquote('0:MRR:3322.1,3322.0,12355.0')] ).
cnf(12583,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[12305,12375]),
[iquote('0:MRR:12305.0,12305.1,12375.0,12375.0')] ).
cnf(12589,plain,
perp(skf36(u,v,w),w,v,u),
inference(mrr,[status(thm)],[11748,12583]),
[iquote('0:MRR:11748.0,12583.0')] ).
cnf(12590,plain,
( ~ midp(u,v,w)
| cong(v,u,x,u) ),
inference(mrr,[status(thm)],[39,12583]),
[iquote('0:MRR:39.1,12583.0')] ).
cnf(12658,plain,
~ perp(skc10,skc13,skf36(skc11,skc12,u),u),
inference(res,[status(thm),theory(equality)],[12589,211]),
[iquote('0:Res:12589.0,211.0')] ).
cnf(13187,plain,
midp(u,v,v),
inference(res,[status(thm),theory(equality)],[12375,11746]),
[iquote('0:Res:12375.0,11746.0')] ).
cnf(13316,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[13187,12590]),
[iquote('0:Res:13187.0,12590.0')] ).
cnf(13325,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[48,13316]),
[iquote('0:MRR:48.1,48.0,13316.0')] ).
cnf(13330,plain,
$false,
inference(unc,[status(thm)],[13325,12658]),
[iquote('0:UnC:13325.0,12658.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO559+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jun 17 23:05:02 EDT 2022
% 0.13/0.35 % CPUTime :
% 8.86/9.07
% 8.86/9.07 SPASS V 3.9
% 8.86/9.07 SPASS beiseite: Proof found.
% 8.86/9.07 % SZS status Theorem
% 8.86/9.07 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.86/9.07 SPASS derived 12613 clauses, backtracked 0 clauses, performed 4 splits and kept 8569 clauses.
% 8.86/9.07 SPASS allocated 96048 KBytes.
% 8.86/9.07 SPASS spent 0:00:08.62 on the problem.
% 8.86/9.07 0:00:00.04 for the input.
% 8.86/9.07 0:00:00.23 for the FLOTTER CNF translation.
% 8.86/9.07 0:00:00.35 for inferences.
% 8.86/9.07 0:00:00.00 for the backtracking.
% 8.86/9.07 0:00:07.63 for the reduction.
% 8.86/9.07
% 8.86/9.07
% 8.86/9.07 Here is a proof with depth 8, length 68 :
% 8.86/9.07 % SZS output start Refutation
% See solution above
% 8.86/9.07 Formulae used in the proof : exemplo6GDDFULL012019 ruleD1 ruleD2 ruleD66 ruleD8 ruleX11 ruleD3 ruleD39 ruleD40 ruleD41 ruleD67 ruleD52 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX15 ruleD42b ruleD57 ruleD43
% 8.86/9.07
%------------------------------------------------------------------------------