TSTP Solution File: GEO614+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO614+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 06:25:31 EDT 2022
% Result : Theorem 10.66s 10.89s
% Output : Refutation 10.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of clauses : 43 ( 14 unt; 2 nHn; 43 RR)
% Number of literals : 90 ( 0 equ; 46 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(2,axiom,
midp(skc14,skc16,skc17),
file('GEO614+1.p',unknown),
[] ).
cnf(10,axiom,
~ perp(skc10,skc11,skc11,skc12),
file('GEO614+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO614+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO614+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO614+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO614+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO614+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO614+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO614+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO614+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO614+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO614+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO614+1.p',unknown),
[] ).
cnf(81,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO614+1.p',unknown),
[] ).
cnf(97,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO614+1.p',unknown),
[] ).
cnf(123,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('GEO614+1.p',unknown),
[] ).
cnf(185,plain,
midp(skc14,skc17,skc16),
inference(res,[status(thm),theory(equality)],[2,13]),
[iquote('0:Res:2.0,13.0')] ).
cnf(187,plain,
( ~ midp(skc14,u,v)
| para(u,skc16,v,skc17) ),
inference(res,[status(thm),theory(equality)],[2,40]),
[iquote('0:Res:2.0,40.1')] ).
cnf(659,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[37,35]),
[iquote('0:Res:37.1,35.0')] ).
cnf(1234,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[36,59]),
[iquote('0:Res:36.1,59.0')] ).
cnf(1266,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[36,57]),
[iquote('0:Res:36.1,57.0')] ).
cnf(2626,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)],[37,123]),
[iquote('0:Res:37.1,123.3')] ).
cnf(2628,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)],[2626]),
[iquote('0:Obv:2626.0')] ).
cnf(2629,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2628]),
[iquote('0:Con:2628.2')] ).
cnf(3194,plain,
( ~ midp(skc14,u,v)
| para(u,skc16,skc17,v) ),
inference(res,[status(thm),theory(equality)],[187,17]),
[iquote('0:Res:187.1,17.0')] ).
cnf(4992,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1234,64]),
[iquote('0:Res:1234.1,64.0')] ).
cnf(5003,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1234,81]),
[iquote('0:Res:1234.1,81.1')] ).
cnf(5018,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[5003,4992]),
[iquote('0:MRR:5003.1,4992.1')] ).
cnf(5510,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1266,35]),
[iquote('0:Res:1266.1,35.0')] ).
cnf(14797,plain,
( ~ midp(skc14,skc17,skc16)
| cyclic(skc16,skc16,skc17,u) ),
inference(res,[status(thm),theory(equality)],[3194,5018]),
[iquote('0:Res:3194.1,5018.0')] ).
cnf(14803,plain,
cyclic(skc16,skc16,skc17,u),
inference(mrr,[status(thm)],[14797,185]),
[iquote('0:MRR:14797.0,185.0')] ).
cnf(14830,plain,
para(skc17,skc16,skc17,skc16),
inference(res,[status(thm),theory(equality)],[14803,659]),
[iquote('0:Res:14803.0,659.0')] ).
cnf(14892,plain,
para(skc17,skc16,skc16,skc17),
inference(res,[status(thm),theory(equality)],[14830,17]),
[iquote('0:Res:14830.0,17.0')] ).
cnf(14989,plain,
para(skc16,skc17,skc17,skc16),
inference(res,[status(thm),theory(equality)],[14892,18]),
[iquote('0:Res:14892.0,18.0')] ).
cnf(15126,plain,
para(skc16,skc17,skc16,skc17),
inference(res,[status(thm),theory(equality)],[14989,17]),
[iquote('0:Res:14989.0,17.0')] ).
cnf(15287,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[15126,5510]),
[iquote('0:Res:15126.0,5510.0')] ).
cnf(15293,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[5018,15287]),
[iquote('0:MRR:5018.0,15287.0')] ).
cnf(16800,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[15293,97]),
[iquote('0:Res:15293.0,97.0')] ).
cnf(16801,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[15293,49]),
[iquote('0:Res:15293.0,49.0')] ).
cnf(16886,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[16801,15293]),
[iquote('0:MRR:16801.0,15293.0')] ).
cnf(16907,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2629,16886]),
[iquote('0:MRR:2629.1,2629.0,16886.0')] ).
cnf(17222,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[16800,16907]),
[iquote('0:MRR:16800.0,16800.1,16907.0,16907.0')] ).
cnf(17223,plain,
$false,
inference(unc,[status(thm)],[17222,10]),
[iquote('0:UnC:17222.0,10.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO614+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n023.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 12:40:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 10.66/10.89
% 10.66/10.89 SPASS V 3.9
% 10.66/10.89 SPASS beiseite: Proof found.
% 10.66/10.89 % SZS status Theorem
% 10.66/10.89 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.66/10.89 SPASS derived 16514 clauses, backtracked 0 clauses, performed 3 splits and kept 10429 clauses.
% 10.66/10.89 SPASS allocated 98670 KBytes.
% 10.66/10.89 SPASS spent 0:0:10.31 on the problem.
% 10.66/10.89 0:00:00.04 for the input.
% 10.66/10.89 0:00:00.21 for the FLOTTER CNF translation.
% 10.66/10.89 0:00:00.46 for inferences.
% 10.66/10.89 0:00:00.01 for the backtracking.
% 10.66/10.89 0:00:09.17 for the reduction.
% 10.66/10.89
% 10.66/10.89
% 10.66/10.89 Here is a proof with depth 8, length 43 :
% 10.66/10.89 % SZS output start Refutation
% See solution above
% 10.66/10.89 Formulae used in the proof : exemplo6GDDFULL618076 ruleD11 ruleD4 ruleD5 ruleD39 ruleD40 ruleD41 ruleD63 ruleD17 ruleD19 ruleD21 ruleD42a ruleD42b ruleD57 ruleD43
% 10.66/10.89
%------------------------------------------------------------------------------