TSTP Solution File: GEO607+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO607+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 06:25:29 EDT 2022
% Result : Theorem 29.86s 30.10s
% Output : Refutation 29.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of clauses : 39 ( 11 unt; 2 nHn; 39 RR)
% Number of literals : 85 ( 0 equ; 45 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 : 14 ( 14 usr; 14 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
midp(skc9,skc10,skc11),
file('GEO607+1.p',unknown),
[] ).
cnf(5,axiom,
~ perp(skc7,skc6,skc6,skc8),
file('GEO607+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO607+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO607+1.p',unknown),
[] ).
cnf(30,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO607+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO607+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO607+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO607+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO607+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO607+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO607+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO607+1.p',unknown),
[] ).
cnf(76,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO607+1.p',unknown),
[] ).
cnf(92,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO607+1.p',unknown),
[] ).
cnf(118,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('GEO607+1.p',unknown),
[] ).
cnf(134,plain,
midp(skc9,skc11,skc10),
inference(res,[status(thm),theory(equality)],[1,8]),
[iquote('0:Res:1.0,8.0')] ).
cnf(136,plain,
( ~ midp(skc9,u,v)
| para(u,skc10,v,skc11) ),
inference(res,[status(thm),theory(equality)],[1,35]),
[iquote('0:Res:1.0,35.1')] ).
cnf(282,plain,
( ~ midp(skc9,u,v)
| para(u,skc10,skc11,v) ),
inference(res,[status(thm),theory(equality)],[136,12]),
[iquote('0:Res:136.1,12.0')] ).
cnf(595,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[32,30]),
[iquote('0:Res:32.1,30.0')] ).
cnf(1773,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[31,54]),
[iquote('0:Res:31.1,54.0')] ).
cnf(1805,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[31,52]),
[iquote('0:Res:31.1,52.0')] ).
cnf(4044,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)],[32,118]),
[iquote('0:Res:32.1,118.3')] ).
cnf(4046,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)],[4044]),
[iquote('0:Obv:4044.0')] ).
cnf(4047,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[4046]),
[iquote('0:Con:4046.2')] ).
cnf(15720,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1773,59]),
[iquote('0:Res:1773.1,59.0')] ).
cnf(15731,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1773,76]),
[iquote('0:Res:1773.1,76.1')] ).
cnf(15743,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[15731,15720]),
[iquote('0:MRR:15731.1,15720.1')] ).
cnf(16159,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1805,30]),
[iquote('0:Res:1805.1,30.0')] ).
cnf(37284,plain,
( ~ midp(skc9,skc11,skc10)
| cyclic(skc10,skc10,skc11,u) ),
inference(res,[status(thm),theory(equality)],[282,15743]),
[iquote('0:Res:282.1,15743.0')] ).
cnf(37290,plain,
cyclic(skc10,skc10,skc11,u),
inference(mrr,[status(thm)],[37284,134]),
[iquote('0:MRR:37284.0,134.0')] ).
cnf(37320,plain,
para(skc11,skc10,skc11,skc10),
inference(res,[status(thm),theory(equality)],[37290,595]),
[iquote('0:Res:37290.0,595.0')] ).
cnf(37957,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[37320,16159]),
[iquote('0:Res:37320.0,16159.0')] ).
cnf(37968,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[15743,37957]),
[iquote('0:MRR:15743.0,37957.0')] ).
cnf(47783,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[37968,92]),
[iquote('0:Res:37968.0,92.0')] ).
cnf(47784,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[37968,44]),
[iquote('0:Res:37968.0,44.0')] ).
cnf(47876,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[47784,37968]),
[iquote('0:MRR:47784.0,37968.0')] ).
cnf(47897,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[4047,47876]),
[iquote('0:MRR:4047.1,4047.0,47876.0')] ).
cnf(48193,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[47783,47897]),
[iquote('0:MRR:47783.0,47783.1,47897.0,47897.0')] ).
cnf(48194,plain,
$false,
inference(unc,[status(thm)],[48193,5]),
[iquote('0:UnC:48193.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO607+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n021.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 02:34:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 29.86/30.10
% 29.86/30.10 SPASS V 3.9
% 29.86/30.10 SPASS beiseite: Proof found.
% 29.86/30.10 % SZS status Theorem
% 29.86/30.10 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.86/30.10 SPASS derived 41531 clauses, backtracked 4703 clauses, performed 6 splits and kept 25578 clauses.
% 29.86/30.10 SPASS allocated 116288 KBytes.
% 29.86/30.10 SPASS spent 0:0:29.58 on the problem.
% 29.86/30.10 0:00:00.04 for the input.
% 29.86/30.10 0:00:00.22 for the FLOTTER CNF translation.
% 29.86/30.10 0:00:00.60 for inferences.
% 29.86/30.10 0:00:03.15 for the backtracking.
% 29.86/30.10 0:0:25.01 for the reduction.
% 29.86/30.10
% 29.86/30.10
% 29.86/30.10 Here is a proof with depth 5, length 39 :
% 29.86/30.10 % SZS output start Refutation
% See solution above
% 29.86/30.10 Formulae used in the proof : exemplo6GDDFULL618069 ruleD11 ruleD4 ruleD39 ruleD40 ruleD41 ruleD63 ruleD17 ruleD19 ruleD21 ruleD42a ruleD42b ruleD57 ruleD43
% 29.86/30.10
%------------------------------------------------------------------------------