%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO593+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 06:25:25 EDT 2022
% Result : Theorem 10.53s 10.72s
% Output : Refutation 10.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 24
% Syntax : Number of clauses : 82 ( 25 unt; 5 nHn; 82 RR)
% Number of literals : 171 ( 0 equ; 85 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 18 ( 18 usr; 18 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
midp(skc15,skc20,skc21),
file('GEO593+1.p',unknown),
[] ).
cnf(14,axiom,
~ cong(skc14,skc12,skc14,skc13),
file('GEO593+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO593+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO593+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO593+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ perp(u,v,w,x)
| perp(u,v,x,w) ),
file('GEO593+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO593+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,w,v,x) ),
file('GEO593+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO593+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO593+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO593+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO593+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO593+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO593+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ perp(u,v,w,x)
| ~ para(y,z,u,v)
| perp(y,z,w,x) ),
file('GEO593+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO593+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO593+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO593+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO593+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO593+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO593+1.p',unknown),
[] ).
cnf(101,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO593+1.p',unknown),
[] ).
cnf(121,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('GEO593+1.p',unknown),
[] ).
cnf(127,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('GEO593+1.p',unknown),
[] ).
cnf(267,plain,
midp(skc15,skc21,skc20),
inference(res,[status(thm),theory(equality)],[2,17]),
[iquote('0:Res:2.0,17.0')] ).
cnf(534,plain,
( ~ midp(skc15,u,v)
| para(u,skc20,v,skc21) ),
inference(res,[status(thm),theory(equality)],[2,44]),
[iquote('0:Res:2.0,44.0')] ).
cnf(654,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[41,39]),
[iquote('0:Res:41.1,39.0')] ).
cnf(1095,plain,
( ~ para(u,v,u,v)
| coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[40,68]),
[iquote('0:Res:40.1,68.0')] ).
cnf(1168,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[40,63]),
[iquote('0:Res:40.1,63.0')] ).
cnf(1200,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[40,61]),
[iquote('0:Res:40.1,61.0')] ).
cnf(1409,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[40,85]),
[iquote('0:Res:40.1,85.1')] ).
cnf(2693,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)],[40,121]),
[iquote('0:Res:40.1,121.0')] ).
cnf(2796,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)],[41,127]),
[iquote('0:Res:41.1,127.3')] ).
cnf(2798,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)],[2796]),
[iquote('0:Obv:2796.0')] ).
cnf(2799,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2798]),
[iquote('0:Con:2798.2')] ).
cnf(3057,plain,
( ~ midp(skc15,u,v)
| para(u,skc20,skc21,v) ),
inference(res,[status(thm),theory(equality)],[534,21]),
[iquote('0:Res:534.1,21.0')] ).
cnf(4126,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1168,68]),
[iquote('0:Res:1168.1,68.0')] ).
cnf(4137,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1168,85]),
[iquote('0:Res:1168.1,85.1')] ).
cnf(4155,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4137,4126]),
[iquote('0:MRR:4137.1,4126.1')] ).
cnf(4377,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1200,39]),
[iquote('0:Res:1200.1,39.0')] ).
cnf(4388,plain,
( ~ para(u,v,u,w)
| ~ cyclic(x,v,u,x)
| ~ cyclic(x,v,u,w)
| ~ cyclic(x,v,u,u)
| cong(x,v,x,w) ),
inference(res,[status(thm),theory(equality)],[1200,127]),
[iquote('0:Res:1200.1,127.3')] ).
cnf(8700,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)],[1200,2693]),
[iquote('0:Res:1200.1,2693.1')] ).
cnf(12506,plain,
( ~ midp(skc15,skc21,skc20)
| cyclic(skc20,skc20,skc21,u) ),
inference(res,[status(thm),theory(equality)],[3057,4155]),
[iquote('0:Res:3057.1,4155.0')] ).
cnf(12509,plain,
cyclic(skc20,skc20,skc21,u),
inference(mrr,[status(thm)],[12506,267]),
[iquote('0:MRR:12506.0,267.0')] ).
cnf(12530,plain,
( ~ cong(skc20,u,skc20,u)
| ~ cong(skc20,skc21,skc20,skc21)
| perp(skc21,skc20,skc20,u) ),
inference(res,[status(thm),theory(equality)],[12509,101]),
[iquote('0:Res:12509.0,101.0')] ).
cnf(12531,plain,
( ~ cyclic(skc20,skc20,skc21,u)
| cyclic(skc20,skc21,u,v) ),
inference(res,[status(thm),theory(equality)],[12509,53]),
[iquote('0:Res:12509.0,53.0')] ).
cnf(12535,plain,
para(skc21,skc20,skc21,skc20),
inference(res,[status(thm),theory(equality)],[12509,654]),
[iquote('0:Res:12509.0,654.0')] ).
cnf(12536,plain,
( ~ cyclic(skc20,skc20,skc21,skc20)
| cong(skc20,skc20,skc20,skc20) ),
inference(res,[status(thm),theory(equality)],[12509,2799]),
[iquote('0:Res:12509.0,2799.0')] ).
cnf(12540,plain,
cyclic(skc20,skc21,u,v),
inference(mrr,[status(thm)],[12531,12509]),
[iquote('0:MRR:12531.0,12509.0')] ).
cnf(12546,plain,
cong(skc20,skc20,skc20,skc20),
inference(mrr,[status(thm)],[12536,12509]),
[iquote('0:MRR:12536.0,12509.0')] ).
cnf(12600,plain,
( ~ cong(skc20,u,skc20,u)
| perp(skc20,skc20,u,skc20) ),
inference(res,[status(thm),theory(equality)],[12546,55]),
[iquote('0:Res:12546.0,55.0')] ).
cnf(12750,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[12535,4377]),
[iquote('0:Res:12535.0,4377.0')] ).
cnf(12752,plain,
( coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(mrr,[status(thm)],[1095,12750]),
[iquote('0:MRR:1095.0,12750.0')] ).
cnf(12753,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[1409,12750]),
[iquote('0:MRR:1409.0,12750.0')] ).
cnf(12951,plain,
( coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(res,[status(thm),theory(equality)],[12752,27]),
[iquote('0:Res:12752.1,27.0')] ).
cnf(12958,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[12951,12753]),
[iquote('0:MRR:12951.0,12753.0')] ).
cnf(13002,plain,
( ~ para(u,v,u,w)
| ~ cyclic(x,v,u,x)
| ~ cyclic(x,v,u,w)
| cong(x,v,x,w) ),
inference(mrr,[status(thm)],[4388,12958]),
[iquote('0:MRR:4388.3,12958.0')] ).
cnf(13260,plain,
cyclic(skc20,u,skc21,v),
inference(res,[status(thm),theory(equality)],[12540,26]),
[iquote('0:Res:12540.0,26.0')] ).
cnf(13263,plain,
( ~ cyclic(skc20,skc21,u,skc21)
| cong(skc20,skc21,skc20,skc21) ),
inference(res,[status(thm),theory(equality)],[12540,2799]),
[iquote('0:Res:12540.0,2799.0')] ).
cnf(13289,plain,
cong(skc20,skc21,skc20,skc21),
inference(mrr,[status(thm)],[13263,12540]),
[iquote('0:MRR:13263.0,12540.0')] ).
cnf(13290,plain,
( ~ cong(skc20,u,skc20,u)
| perp(skc21,skc20,skc20,u) ),
inference(mrr,[status(thm)],[12530,13289]),
[iquote('0:MRR:12530.1,13289.0')] ).
cnf(13535,plain,
( ~ cyclic(skc20,u,skc21,u)
| cong(skc20,u,skc20,u) ),
inference(res,[status(thm),theory(equality)],[13260,2799]),
[iquote('0:Res:13260.0,2799.0')] ).
cnf(13557,plain,
cong(skc20,u,skc20,u),
inference(mrr,[status(thm)],[13535,13260]),
[iquote('0:MRR:13535.0,13260.0')] ).
cnf(13558,plain,
perp(skc20,skc20,u,skc20),
inference(mrr,[status(thm)],[12600,13557]),
[iquote('0:MRR:12600.0,13557.0')] ).
cnf(13559,plain,
perp(skc21,skc20,skc20,u),
inference(mrr,[status(thm)],[13290,13557]),
[iquote('0:MRR:13290.0,13557.0')] ).
cnf(13568,plain,
( ~ perp(u,v,skc20,skc20)
| para(u,v,w,skc20) ),
inference(res,[status(thm),theory(equality)],[13558,50]),
[iquote('0:Res:13558.0,50.0')] ).
cnf(13598,plain,
perp(skc21,skc20,u,skc20),
inference(res,[status(thm),theory(equality)],[13559,23]),
[iquote('0:Res:13559.0,23.0')] ).
cnf(13728,plain,
( ~ para(u,v,skc21,skc20)
| perp(u,v,w,skc20) ),
inference(res,[status(thm),theory(equality)],[13598,51]),
[iquote('0:Res:13598.0,51.0')] ).
cnf(14119,plain,
( ~ cong(skc20,u,skc20,u)
| perp(skc20,skc20,u,v) ),
inference(res,[status(thm),theory(equality)],[13557,55]),
[iquote('0:Res:13557.0,55.0')] ).
cnf(14128,plain,
perp(skc20,skc20,u,v),
inference(mrr,[status(thm)],[14119,13557]),
[iquote('0:MRR:14119.0,13557.0')] ).
cnf(14316,plain,
( ~ perp(u,v,skc20,skc20)
| para(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[14128,50]),
[iquote('0:Res:14128.0,50.0')] ).
cnf(14319,plain,
perp(u,v,skc20,skc20),
inference(res,[status(thm),theory(equality)],[14128,24]),
[iquote('0:Res:14128.0,24.0')] ).
cnf(14342,plain,
para(u,v,w,skc20),
inference(mrr,[status(thm)],[13568,14319]),
[iquote('0:MRR:13568.0,14319.0')] ).
cnf(14368,plain,
perp(u,v,w,skc20),
inference(mrr,[status(thm)],[13728,14342]),
[iquote('0:MRR:13728.0,14342.0')] ).
cnf(15278,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[14316,14368]),
[iquote('0:MRR:14316.0,14368.0')] ).
cnf(15279,plain,
coll(u,v,w),
inference(mrr,[status(thm)],[19,15278]),
[iquote('0:MRR:19.0,15278.0')] ).
cnf(15412,plain,
eqangle(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[8700,15278]),
[iquote('0:MRR:8700.1,8700.0,15278.0')] ).
cnf(15490,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,x)
| cong(u,v,u,x) ),
inference(mrr,[status(thm)],[13002,15278]),
[iquote('0:MRR:13002.0,15278.0')] ).
cnf(15945,plain,
( ~ eqangle(u,v,u,w,x,v,x,w)
| cyclic(v,w,u,x) ),
inference(mrr,[status(thm)],[85,15279]),
[iquote('0:MRR:85.0,15279.0')] ).
cnf(16193,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[15945,15412]),
[iquote('0:MRR:15945.0,15412.0')] ).
cnf(16231,plain,
cong(u,v,u,w),
inference(mrr,[status(thm)],[15490,16193]),
[iquote('0:MRR:15490.0,15490.1,16193.0,16193.0')] ).
cnf(16232,plain,
$false,
inference(unc,[status(thm)],[16231,14]),
[iquote('0:UnC:16231.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO593+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n005.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 : Fri Jun 17 21:22:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 10.53/10.72
% 10.53/10.72 SPASS V 3.9
% 10.53/10.72 SPASS beiseite: Proof found.
% 10.53/10.72 % SZS status Theorem
% 10.53/10.72 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.53/10.72 SPASS derived 15513 clauses, backtracked 0 clauses, performed 0 splits and kept 9059 clauses.
% 10.53/10.72 SPASS allocated 97868 KBytes.
% 10.53/10.72 SPASS spent 0:0:10.31 on the problem.
% 10.53/10.72 0:00:00.04 for the input.
% 10.53/10.72 0:00:00.23 for the FLOTTER CNF translation.
% 10.53/10.72 0:00:00.44 for inferences.
% 10.53/10.72 0:00:00.00 for the backtracking.
% 10.53/10.72 0:00:09.21 for the reduction.
% 10.53/10.72
% 10.53/10.72
% 10.53/10.72 Here is a proof with depth 8, length 82 :
% 10.53/10.72 % SZS output start Refutation
% See solution above
% 10.53/10.72 Formulae used in the proof : exemplo6GDDFULL416055 ruleD11 ruleD66 ruleD4 ruleD7 ruleD8 ruleD15 ruleD16 ruleD39 ruleD40 ruleD41 ruleD63 ruleD9 ruleD10 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleD42b ruleD57 ruleD22 ruleD43
% 10.53/10.72
%------------------------------------------------------------------------------