TSTP Solution File: GEO636+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO636+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 06:25:39 EDT 2022
% Result : Theorem 18.21s 18.42s
% Output : Refutation 18.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 22
% Syntax : Number of clauses : 60 ( 19 unt; 2 nHn; 60 RR)
% Number of literals : 125 ( 0 equ; 65 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 : 15 ( 15 usr; 14 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
coll(skc9,skc7,skc13),
file('GEO636+1.p',unknown),
[] ).
cnf(3,axiom,
perp(skc9,skc12,skc7,skc13),
file('GEO636+1.p',unknown),
[] ).
cnf(5,axiom,
~ perp(skc7,skc8,skc10,skc9),
file('GEO636+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO636+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO636+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO636+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO636+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO636+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO636+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO636+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO636+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO636+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO636+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO636+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO636+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO636+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO636+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO636+1.p',unknown),
[] ).
cnf(77,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO636+1.p',unknown),
[] ).
cnf(90,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO636+1.p',unknown),
[] ).
cnf(93,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO636+1.p',unknown),
[] ).
cnf(119,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('GEO636+1.p',unknown),
[] ).
cnf(145,plain,
coll(skc9,skc13,skc7),
inference(res,[status(thm),theory(equality)],[1,7]),
[iquote('0:Res:1.0,7.0')] ).
cnf(195,plain,
perp(skc7,skc13,skc9,skc12),
inference(res,[status(thm),theory(equality)],[3,16]),
[iquote('0:Res:3.0,16.0')] ).
cnf(200,plain,
( ~ perp(u,v,skc9,skc12)
| para(u,v,skc7,skc13) ),
inference(res,[status(thm),theory(equality)],[3,42]),
[iquote('0:Res:3.0,42.1')] ).
cnf(209,plain,
( ~ cong(skc7,skc9,skc8,skc9)
| ~ cong(skc7,skc10,skc8,skc10) ),
inference(res,[status(thm),theory(equality)],[47,5]),
[iquote('0:Res:47.2,5.0')] ).
cnf(399,plain,
( ~ coll(skc9,skc13,u)
| coll(u,skc7,skc9) ),
inference(res,[status(thm),theory(equality)],[145,24]),
[iquote('0:Res:145.0,24.0')] ).
cnf(497,plain,
coll(skc7,skc7,skc9),
inference(res,[status(thm),theory(equality)],[145,399]),
[iquote('0:Res:145.0,399.0')] ).
cnf(609,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[33,31]),
[iquote('0:Res:33.1,31.0')] ).
cnf(1185,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[32,55]),
[iquote('0:Res:32.1,55.0')] ).
cnf(1229,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[32,53]),
[iquote('0:Res:32.1,53.0')] ).
cnf(1449,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[32,77]),
[iquote('0:Res:32.1,77.1')] ).
cnf(2949,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)],[33,119]),
[iquote('0:Res:33.1,119.3')] ).
cnf(2951,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)],[2949]),
[iquote('0:Obv:2949.0')] ).
cnf(2952,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2951]),
[iquote('0:Con:2951.2')] ).
cnf(4235,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1185,60]),
[iquote('0:Res:1185.1,60.0')] ).
cnf(4246,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1185,77]),
[iquote('0:Res:1185.1,77.1')] ).
cnf(4260,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4246,4235]),
[iquote('0:MRR:4246.1,4235.1')] ).
cnf(4558,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1229,31]),
[iquote('0:Res:1229.1,31.0')] ).
cnf(5131,plain,
( ~ perp(skc7,skc13,skc9,skc12)
| ~ coll(skc7,skc7,u)
| cyclic(skc13,u,skc7,skc7) ),
inference(res,[status(thm),theory(equality)],[200,1449]),
[iquote('0:Res:200.1,1449.0')] ).
cnf(5135,plain,
( ~ coll(skc7,skc7,u)
| cyclic(skc13,u,skc7,skc7) ),
inference(mrr,[status(thm)],[5131,195]),
[iquote('0:MRR:5131.0,195.0')] ).
cnf(5694,plain,
( ~ coll(skc7,skc7,u)
| para(skc7,skc13,skc7,skc13) ),
inference(res,[status(thm),theory(equality)],[5135,609]),
[iquote('0:Res:5135.1,609.0')] ).
cnf(5696,plain,
para(skc7,skc13,skc7,skc13),
inference(res,[status(thm),theory(equality)],[497,5694]),
[iquote('0:Res:497.0,5694.0')] ).
cnf(5705,plain,
para(skc7,skc13,skc13,skc7),
inference(res,[status(thm),theory(equality)],[5696,13]),
[iquote('0:Res:5696.0,13.0')] ).
cnf(5747,plain,
para(skc13,skc7,skc7,skc13),
inference(res,[status(thm),theory(equality)],[5705,14]),
[iquote('0:Res:5705.0,14.0')] ).
cnf(5759,plain,
para(skc13,skc7,skc13,skc7),
inference(res,[status(thm),theory(equality)],[5747,13]),
[iquote('0:Res:5747.0,13.0')] ).
cnf(17493,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[5759,4558]),
[iquote('0:Res:5759.0,4558.0')] ).
cnf(17546,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4260,17493]),
[iquote('0:MRR:4260.0,17493.0')] ).
cnf(20307,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[17546,93]),
[iquote('0:Res:17546.0,93.0')] ).
cnf(20308,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[17546,45]),
[iquote('0:Res:17546.0,45.0')] ).
cnf(20415,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[20308,17546]),
[iquote('0:MRR:20308.0,17546.0')] ).
cnf(20419,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[119,20415]),
[iquote('0:MRR:119.2,119.1,119.0,20415.0')] ).
cnf(20434,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[67,20415]),
[iquote('0:MRR:67.1,20415.0')] ).
cnf(20436,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2952,20415]),
[iquote('0:MRR:2952.1,2952.0,20415.0')] ).
cnf(20920,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[20307,20436]),
[iquote('0:MRR:20307.0,20307.1,20436.0,20436.0')] ).
cnf(20930,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[90,20920]),
[iquote('0:MRR:90.0,20920.0')] ).
cnf(20972,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[20434,20920]),
[iquote('0:MRR:20434.0,20920.0')] ).
cnf(22941,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[20972,20930]),
[iquote('0:Res:20972.0,20930.0')] ).
cnf(24553,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[22941,20419]),
[iquote('0:Res:22941.0,20419.0')] ).
cnf(24574,plain,
$false,
inference(mrr,[status(thm)],[209,24553]),
[iquote('0:MRR:209.1,209.0,24553.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO636+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n005.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 : Sat Jun 18 02:29:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 18.21/18.42
% 18.21/18.42 SPASS V 3.9
% 18.21/18.42 SPASS beiseite: Proof found.
% 18.21/18.42 % SZS status Theorem
% 18.21/18.42 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.21/18.42 SPASS derived 23921 clauses, backtracked 0 clauses, performed 0 splits and kept 14505 clauses.
% 18.21/18.42 SPASS allocated 102374 KBytes.
% 18.21/18.42 SPASS spent 0:0:17.87 on the problem.
% 18.21/18.42 0:00:00.04 for the input.
% 18.21/18.42 0:00:00.21 for the FLOTTER CNF translation.
% 18.21/18.42 0:00:00.36 for inferences.
% 18.21/18.42 0:00:00.00 for the backtracking.
% 18.21/18.42 0:0:16.91 for the reduction.
% 18.21/18.42
% 18.21/18.42
% 18.21/18.42 Here is a proof with depth 8, length 60 :
% 18.21/18.42 % SZS output start Refutation
% See solution above
% 18.21/18.42 Formulae used in the proof : exemplo6GDDFULL8110999 ruleD1 ruleD4 ruleD5 ruleD8 ruleD3 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD43
% 18.21/18.42
%------------------------------------------------------------------------------