TSTP Solution File: GEO619+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO619+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 06:25:33 EDT 2022
% Result : Theorem 29.14s 29.40s
% Output : Refutation 29.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 32
% Syntax : Number of clauses : 94 ( 23 unt; 8 nHn; 94 RR)
% Number of literals : 209 ( 0 equ; 109 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 14 ( 14 usr; 13 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
midp(skc13,skc17,skc12),
file('GEO619+1.p',unknown),
[] ).
cnf(11,axiom,
~ cong(skc17,skc15,skc17,skc14),
file('GEO619+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO619+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO619+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ midp(u,v,w)
| cong(u,v,u,w) ),
file('GEO619+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO619+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO619+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO619+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ cong(u,v,w,x)
| cong(w,x,u,v) ),
file('GEO619+1.p',unknown),
[] ).
cnf(30,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO619+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO619+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO619+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO619+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ cong(u,v,u,w)
| eqangle(u,v,v,w,v,w,u,w) ),
file('GEO619+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO619+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ coll(u,v,w)
| ~ cong(u,v,u,w)
| midp(u,v,w) ),
file('GEO619+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO619+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO619+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO619+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(v,u,w,x,y,z,x1,x2) ),
file('GEO619+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('GEO619+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(y,z,x1,x2,u,v,w,x) ),
file('GEO619+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('GEO619+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('GEO619+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ eqangle(u,v,v,w,v,w,u,w)
| coll(u,v,w)
| cong(u,v,u,w) ),
file('GEO619+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('GEO619+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('GEO619+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ midp(u,v,w)
| ~ para(v,x,w,y)
| ~ para(v,y,w,x)
| midp(u,y,x) ),
file('GEO619+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| eqangle(u,x,w,x,w,x,w,v) ),
file('GEO619+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('GEO619+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('GEO619+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('GEO619+1.p',unknown),
[] ).
cnf(139,plain,
( ~ midp(skc13,u,v)
| para(skc17,u,skc12,v) ),
inference(res,[status(thm),theory(equality)],[5,42]),
[iquote('0:Res:5.0,42.0')] ).
cnf(141,plain,
midp(skc13,skc12,skc17),
inference(res,[status(thm),theory(equality)],[5,15]),
[iquote('0:Res:5.0,15.0')] ).
cnf(352,plain,
( ~ midp(u,v,w)
| cong(u,w,u,v) ),
inference(res,[status(thm),theory(equality)],[18,27]),
[iquote('0:Res:18.1,27.0')] ).
cnf(636,plain,
( ~ cong(u,u,u,v)
| para(u,u,u,v) ),
inference(res,[status(thm),theory(equality)],[41,37]),
[iquote('0:Res:41.1,37.0')] ).
cnf(1076,plain,
( ~ cyclic(u,u,u,u)
| coll(u,u,u)
| cong(u,u,u,u) ),
inference(res,[status(thm),theory(equality)],[39,67]),
[iquote('0:Res:39.1,67.0')] ).
cnf(1092,plain,
( ~ para(u,v,u,v)
| coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[38,66]),
[iquote('0:Res:38.1,66.0')] ).
cnf(1169,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(1186,plain,
( ~ para(u,v,w,x)
| eqangle(w,x,y,z,u,v,y,z) ),
inference(res,[status(thm),theory(equality)],[38,60]),
[iquote('0:Res:38.1,60.0')] ).
cnf(1203,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(1400,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[38,83]),
[iquote('0:Res:38.1,83.1')] ).
cnf(1708,plain,
( ~ para(u,v,w,x)
| ~ cyclic(u,v,w,x)
| eqangle(x,u,w,x,w,x,w,v) ),
inference(res,[status(thm),theory(equality)],[94,58]),
[iquote('0:Res:94.2,58.0')] ).
cnf(3109,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(3115,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)],[3109]),
[iquote('0:Obv:3109.0')] ).
cnf(3116,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[3115]),
[iquote('0:Con:3115.2')] ).
cnf(3306,plain,
( ~ midp(skc13,u,v)
| para(skc17,u,v,skc12) ),
inference(res,[status(thm),theory(equality)],[139,19]),
[iquote('0:Res:139.1,19.0')] ).
cnf(3424,plain,
~ midp(skc17,skc14,skc15),
inference(res,[status(thm),theory(equality)],[352,11]),
[iquote('0:Res:352.1,11.0')] ).
cnf(3651,plain,
( ~ cong(u,u,u,v)
| coll(u,u,v) ),
inference(res,[status(thm),theory(equality)],[636,17]),
[iquote('0:Res:636.1,17.0')] ).
cnf(3654,plain,
( ~ cong(u,u,u,v)
| para(u,v,u,u) ),
inference(res,[status(thm),theory(equality)],[636,20]),
[iquote('0:Res:636.1,20.0')] ).
cnf(3661,plain,
( ~ cong(u,u,u,v)
| ~ midp(w,u,u)
| ~ para(u,v,u,u)
| midp(w,v,u) ),
inference(res,[status(thm),theory(equality)],[636,92]),
[iquote('0:Res:636.1,92.1')] ).
cnf(3663,plain,
( ~ cyclic(u,u,u,u)
| coll(u,u,u) ),
inference(mrr,[status(thm)],[1076,3651]),
[iquote('0:MRR:1076.2,3651.0')] ).
cnf(3664,plain,
( ~ cong(u,u,u,v)
| ~ midp(w,u,u)
| midp(w,v,u) ),
inference(mrr,[status(thm)],[3661,3654]),
[iquote('0:MRR:3661.2,3654.1')] ).
cnf(4294,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1169,66]),
[iquote('0:Res:1169.1,66.0')] ).
cnf(4305,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1169,83]),
[iquote('0:Res:1169.1,83.1')] ).
cnf(4321,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4305,4294]),
[iquote('0:MRR:4305.1,4294.1')] ).
cnf(4422,plain,
( ~ para(u,v,u,u)
| coll(u,u,v)
| cong(u,u,u,v) ),
inference(res,[status(thm),theory(equality)],[1186,67]),
[iquote('0:Res:1186.1,67.0')] ).
cnf(4446,plain,
( ~ para(u,v,u,u)
| coll(u,u,v) ),
inference(mrr,[status(thm)],[4422,3651]),
[iquote('0:MRR:4422.2,3651.0')] ).
cnf(4566,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1203,37]),
[iquote('0:Res:1203.1,37.0')] ).
cnf(9834,plain,
( ~ para(u,v,w,w)
| ~ cyclic(u,v,w,w)
| ~ cyclic(u,w,w,w)
| ~ cyclic(u,w,w,v)
| ~ cyclic(u,w,w,w)
| cong(u,w,w,v) ),
inference(res,[status(thm),theory(equality)],[1708,125]),
[iquote('0:Res:1708.2,125.3')] ).
cnf(9840,plain,
( ~ para(u,v,w,w)
| ~ cyclic(u,v,w,w)
| ~ cyclic(u,w,w,v)
| ~ cyclic(u,w,w,w)
| cong(u,w,w,v) ),
inference(obv,[status(thm),theory(equality)],[9834]),
[iquote('0:Obv:9834.2')] ).
cnf(25432,plain,
( ~ midp(skc13,skc12,skc17)
| para(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[3306,4566]),
[iquote('0:Res:3306.1,4566.0')] ).
cnf(25437,plain,
para(u,v,u,v),
inference(mrr,[status(thm)],[25432,141]),
[iquote('0:MRR:25432.0,141.0')] ).
cnf(25438,plain,
( coll(u,u,v)
| cyclic(v,w,u,u) ),
inference(mrr,[status(thm)],[1092,25437]),
[iquote('0:MRR:1092.0,25437.0')] ).
cnf(25439,plain,
( ~ coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(mrr,[status(thm)],[1400,25437]),
[iquote('0:MRR:1400.0,25437.0')] ).
cnf(25442,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4321,25437]),
[iquote('0:MRR:4321.0,25437.0')] ).
cnf(25450,plain,
coll(u,u,u),
inference(mrr,[status(thm)],[3663,25442]),
[iquote('0:MRR:3663.0,25442.0')] ).
cnf(25524,plain,
( ~ coll(u,u,v)
| coll(v,u,u) ),
inference(res,[status(thm),theory(equality)],[25450,30]),
[iquote('0:Res:25450.0,30.0')] ).
cnf(25586,plain,
( coll(u,u,v)
| cyclic(w,v,u,u) ),
inference(res,[status(thm),theory(equality)],[25438,25]),
[iquote('0:Res:25438.1,25.0')] ).
cnf(25591,plain,
cyclic(u,v,w,w),
inference(mrr,[status(thm)],[25586,25439]),
[iquote('0:MRR:25586.0,25439.0')] ).
cnf(25606,plain,
( ~ para(u,v,w,w)
| ~ cyclic(u,w,w,v)
| cong(u,w,w,v) ),
inference(mrr,[status(thm)],[9840,25591]),
[iquote('0:MRR:9840.3,9840.1,25591.0')] ).
cnf(26751,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[25442,99]),
[iquote('0:Res:25442.0,99.0')] ).
cnf(26752,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[25442,51]),
[iquote('0:Res:25442.0,51.0')] ).
cnf(26832,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[26752,25442]),
[iquote('0:MRR:26752.0,25442.0')] ).
cnf(26836,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[125,26832]),
[iquote('0:MRR:125.2,125.1,125.0,26832.0')] ).
cnf(26851,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[73,26832]),
[iquote('0:MRR:73.1,26832.0')] ).
cnf(26853,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[3116,26832]),
[iquote('0:MRR:3116.1,3116.0,26832.0')] ).
cnf(26962,plain,
( ~ para(u,v,w,w)
| cong(u,w,w,v) ),
inference(mrr,[status(thm)],[25606,26832]),
[iquote('0:MRR:25606.1,26832.0')] ).
cnf(27224,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[26751,26853]),
[iquote('0:MRR:26751.0,26751.1,26853.0,26853.0')] ).
cnf(27230,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[96,27224]),
[iquote('0:MRR:96.0,27224.0')] ).
cnf(27330,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[26851,27224]),
[iquote('0:MRR:26851.0,27224.0')] ).
cnf(30751,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[27330,27230]),
[iquote('0:Res:27330.0,27230.0')] ).
cnf(31034,plain,
( ~ coll(u,v,v)
| midp(u,v,v) ),
inference(res,[status(thm),theory(equality)],[26853,43]),
[iquote('0:Res:26853.0,43.1')] ).
cnf(31398,plain,
para(u,v,u,u),
inference(res,[status(thm),theory(equality)],[30751,37]),
[iquote('0:Res:30751.0,37.0')] ).
cnf(31407,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[30751,26836]),
[iquote('0:Res:30751.0,26836.0')] ).
cnf(31419,plain,
coll(u,u,v),
inference(mrr,[status(thm)],[4446,31398]),
[iquote('0:MRR:4446.0,31398.0')] ).
cnf(31548,plain,
coll(u,v,v),
inference(mrr,[status(thm)],[25524,31419]),
[iquote('0:MRR:25524.0,31419.0')] ).
cnf(31739,plain,
midp(u,v,v),
inference(mrr,[status(thm)],[31034,31548]),
[iquote('0:MRR:31034.0,31548.0')] ).
cnf(31750,plain,
( ~ cong(u,u,u,v)
| midp(w,v,u) ),
inference(mrr,[status(thm)],[3664,31739]),
[iquote('0:MRR:3664.1,31739.0')] ).
cnf(31870,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[53,31407]),
[iquote('0:MRR:53.1,53.0,31407.0')] ).
cnf(31893,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[48,31870]),
[iquote('0:MRR:48.1,48.0,31870.0')] ).
cnf(33011,plain,
cong(u,v,v,w),
inference(mrr,[status(thm)],[26962,31893]),
[iquote('0:MRR:26962.0,31893.0')] ).
cnf(33306,plain,
midp(u,v,w),
inference(mrr,[status(thm)],[31750,33011]),
[iquote('0:MRR:31750.0,33011.0')] ).
cnf(33307,plain,
$false,
inference(unc,[status(thm)],[33306,3424]),
[iquote('0:UnC:33306.0,3424.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO619+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n018.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 18:26:48 EDT 2022
% 0.12/0.35 % CPUTime :
% 29.14/29.40
% 29.14/29.40 SPASS V 3.9
% 29.14/29.40 SPASS beiseite: Proof found.
% 29.14/29.40 % SZS status Theorem
% 29.14/29.40 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.14/29.40 SPASS derived 32585 clauses, backtracked 4701 clauses, performed 3 splits and kept 18935 clauses.
% 29.14/29.40 SPASS allocated 107769 KBytes.
% 29.14/29.40 SPASS spent 0:0:28.89 on the problem.
% 29.14/29.40 0:00:00.04 for the input.
% 29.14/29.40 0:00:00.23 for the FLOTTER CNF translation.
% 29.14/29.40 0:00:00.85 for inferences.
% 29.14/29.40 0:00:00.43 for the backtracking.
% 29.14/29.40 0:0:26.33 for the reduction.
% 29.14/29.40
% 29.14/29.40
% 29.14/29.40 Here is a proof with depth 3, length 94 :
% 29.14/29.40 % SZS output start Refutation
% See solution above
% 29.14/29.41 Formulae used in the proof : exemplo6GDDFULL8110981 ruleD11 ruleD66 ruleD68 ruleD4 ruleD5 ruleD16 ruleD24 ruleD3 ruleD39 ruleD40 ruleD41 ruleD46 ruleD63 ruleD67 ruleD9 ruleD17 ruleD56 ruleD18 ruleD19 ruleD20 ruleD21 ruleD42a ruleD47 ruleX14 ruleD42b ruleD64 ruleD54 ruleD48 ruleD57 ruleD43
% 29.14/29.41
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