%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO560+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 22.72s 22.97s
% Output : Refutation 22.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 22
% Syntax : Number of clauses : 66 ( 23 unt; 2 nHn; 66 RR)
% Number of literals : 136 ( 0 equ; 69 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 : 19 ( 19 usr; 18 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
coll(skc9,skc13,skc7),
file('GEO560+1.p',unknown),
[] ).
cnf(8,axiom,
perp(skc10,skc9,skc13,skc11),
file('GEO560+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO560+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO560+1.p',unknown),
[] ).
cnf(13,axiom,
~ eqangle(skc8,skc10,skc10,skc9,skc9,skc10,skc10,skc7),
file('GEO560+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO560+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO560+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO560+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO560+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO560+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO560+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO560+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO560+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO560+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO560+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO560+1.p',unknown),
[] ).
cnf(70,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO560+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO560+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO560+1.p',unknown),
[] ).
cnf(96,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO560+1.p',unknown),
[] ).
cnf(116,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| ~ eqangle(x3,x4,x5,x6,u,v,w,x)
| eqangle(x3,x4,x5,x6,y,z,x1,x2) ),
file('GEO560+1.p',unknown),
[] ).
cnf(122,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('GEO560+1.p',unknown),
[] ).
cnf(194,plain,
coll(skc9,skc7,skc13),
inference(res,[status(thm),theory(equality)],[2,9]),
[iquote('0:Res:2.0,9.0')] ).
cnf(195,plain,
coll(skc13,skc9,skc7),
inference(res,[status(thm),theory(equality)],[2,10]),
[iquote('0:Res:2.0,10.0')] ).
cnf(248,plain,
perp(skc13,skc11,skc10,skc9),
inference(res,[status(thm),theory(equality)],[8,19]),
[iquote('0:Res:8.0,19.0')] ).
cnf(253,plain,
( ~ perp(u,v,skc10,skc9)
| para(u,v,skc13,skc11) ),
inference(res,[status(thm),theory(equality)],[8,45]),
[iquote('0:Res:8.0,45.1')] ).
cnf(437,plain,
( ~ coll(skc13,skc9,u)
| coll(u,skc7,skc13) ),
inference(res,[status(thm),theory(equality)],[195,27]),
[iquote('0:Res:195.0,27.0')] ).
cnf(442,plain,
( ~ coll(skc9,skc7,u)
| coll(u,skc13,skc9) ),
inference(res,[status(thm),theory(equality)],[194,27]),
[iquote('0:Res:194.0,27.0')] ).
cnf(607,plain,
coll(skc13,skc13,skc9),
inference(res,[status(thm),theory(equality)],[194,442]),
[iquote('0:Res:194.0,442.0')] ).
cnf(610,plain,
coll(skc13,skc9,skc13),
inference(res,[status(thm),theory(equality)],[607,9]),
[iquote('0:Res:607.0,9.0')] ).
cnf(615,plain,
coll(skc13,skc7,skc13),
inference(res,[status(thm),theory(equality)],[610,437]),
[iquote('0:Res:610.0,437.0')] ).
cnf(622,plain,
coll(skc13,skc13,skc7),
inference(res,[status(thm),theory(equality)],[615,9]),
[iquote('0:Res:615.0,9.0')] ).
cnf(646,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[36,34]),
[iquote('0:Res:36.1,34.0')] ).
cnf(1149,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[35,58]),
[iquote('0:Res:35.1,58.0')] ).
cnf(1186,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[35,56]),
[iquote('0:Res:35.1,56.0')] ).
cnf(1379,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[35,80]),
[iquote('0:Res:35.1,80.1')] ).
cnf(2219,plain,
( ~ para(u,v,w,x)
| ~ eqangle(y,z,x1,x2,u,v,x3,x4)
| eqangle(y,z,x1,x2,w,x,x3,x4) ),
inference(res,[status(thm),theory(equality)],[35,116]),
[iquote('0:Res:35.1,116.0')] ).
cnf(2413,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)],[36,122]),
[iquote('0:Res:36.1,122.3')] ).
cnf(2415,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)],[2413]),
[iquote('0:Obv:2413.0')] ).
cnf(2416,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2415]),
[iquote('0:Con:2415.2')] ).
cnf(4896,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1149,63]),
[iquote('0:Res:1149.1,63.0')] ).
cnf(4907,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1149,80]),
[iquote('0:Res:1149.1,80.1')] ).
cnf(4923,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4907,4896]),
[iquote('0:MRR:4907.1,4896.1')] ).
cnf(5257,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1186,34]),
[iquote('0:Res:1186.1,34.0')] ).
cnf(5703,plain,
( ~ perp(skc13,skc11,skc10,skc9)
| ~ coll(skc13,skc13,u)
| cyclic(skc11,u,skc13,skc13) ),
inference(res,[status(thm),theory(equality)],[253,1379]),
[iquote('0:Res:253.1,1379.0')] ).
cnf(5707,plain,
( ~ coll(skc13,skc13,u)
| cyclic(skc11,u,skc13,skc13) ),
inference(mrr,[status(thm)],[5703,248]),
[iquote('0:MRR:5703.0,248.0')] ).
cnf(8182,plain,
( ~ coll(skc13,skc13,u)
| para(skc13,skc11,skc13,skc11) ),
inference(res,[status(thm),theory(equality)],[5707,646]),
[iquote('0:Res:5707.1,646.0')] ).
cnf(8191,plain,
para(skc13,skc11,skc13,skc11),
inference(res,[status(thm),theory(equality)],[622,8182]),
[iquote('0:Res:622.0,8182.0')] ).
cnf(13248,plain,
( ~ para(u,v,w,x)
| ~ para(y,z,x1,x2)
| eqangle(y,z,u,v,x1,x2,w,x) ),
inference(res,[status(thm),theory(equality)],[1186,2219]),
[iquote('0:Res:1186.1,2219.1')] ).
cnf(17271,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[8191,5257]),
[iquote('0:Res:8191.0,5257.0')] ).
cnf(17300,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4923,17271]),
[iquote('0:MRR:4923.0,17271.0')] ).
cnf(20389,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[17300,96]),
[iquote('0:Res:17300.0,96.0')] ).
cnf(20390,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[17300,48]),
[iquote('0:Res:17300.0,48.0')] ).
cnf(20526,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[20390,17300]),
[iquote('0:MRR:20390.0,17300.0')] ).
cnf(20530,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[122,20526]),
[iquote('0:MRR:122.2,122.1,122.0,20526.0')] ).
cnf(20545,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[70,20526]),
[iquote('0:MRR:70.1,20526.0')] ).
cnf(20547,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2416,20526]),
[iquote('0:MRR:2416.1,2416.0,20526.0')] ).
cnf(20895,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[20389,20547]),
[iquote('0:MRR:20389.0,20389.1,20547.0,20547.0')] ).
cnf(20910,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[93,20895]),
[iquote('0:MRR:93.0,20895.0')] ).
cnf(20919,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[20545,20895]),
[iquote('0:MRR:20545.0,20895.0')] ).
cnf(23529,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[20919,20910]),
[iquote('0:Res:20919.0,20910.0')] ).
cnf(25274,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[23529,20530]),
[iquote('0:Res:23529.0,20530.0')] ).
cnf(25294,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[50,25274]),
[iquote('0:MRR:50.1,50.0,25274.0')] ).
cnf(25353,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[45,25294]),
[iquote('0:MRR:45.1,45.0,25294.0')] ).
cnf(26797,plain,
eqangle(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[13248,25353]),
[iquote('0:MRR:13248.1,13248.0,25353.0')] ).
cnf(28628,plain,
$false,
inference(unc,[status(thm)],[26797,13]),
[iquote('0:UnC:26797.0,13.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO560+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 16:08:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 22.72/22.97
% 22.72/22.97 SPASS V 3.9
% 22.72/22.97 SPASS beiseite: Proof found.
% 22.72/22.97 % SZS status Theorem
% 22.72/22.97 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.72/22.97 SPASS derived 27662 clauses, backtracked 0 clauses, performed 0 splits and kept 14275 clauses.
% 22.72/22.97 SPASS allocated 104294 KBytes.
% 22.72/22.97 SPASS spent 0:0:22.50 on the problem.
% 22.72/22.97 0:00:00.04 for the input.
% 22.72/22.97 0:00:00.22 for the FLOTTER CNF translation.
% 22.72/22.97 0:00:00.52 for inferences.
% 22.72/22.97 0:00:00.00 for the backtracking.
% 22.72/22.97 0:0:21.25 for the reduction.
% 22.72/22.97
% 22.72/22.97
% 22.72/22.97 Here is a proof with depth 8, length 66 :
% 22.72/22.97 % SZS output start Refutation
% See solution above
% 22.72/22.97 Formulae used in the proof : exemplo6GDDFULL012020 ruleD1 ruleD2 ruleD8 ruleD3 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD22 ruleD43
% 22.72/22.97
%------------------------------------------------------------------------------