TSTP Solution File: GEO549+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO549+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 06:25:11 EDT 2022
% Result : Theorem 39.38s 39.57s
% Output : Refutation 39.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 21
% Syntax : Number of clauses : 57 ( 20 unt; 0 nHn; 57 RR)
% Number of literals : 112 ( 0 equ; 56 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 22 ( 22 usr; 22 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
perp(skc16,skc27,skc23,skc26),
file('GEO549+1.p',unknown),
[] ).
cnf(15,axiom,
perp(skc17,skc30,skc23,skc26),
file('GEO549+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO549+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO549+1.p',unknown),
[] ).
cnf(21,axiom,
~ eqangle(skc16,skc20,skc20,skc19,skc17,skc21,skc21,skc18),
file('GEO549+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ para(u,v,u,w)
| coll(u,v,w) ),
file('GEO549+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO549+1.p',unknown),
[] ).
cnf(28,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,v,x,w) ),
file('GEO549+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(u,w,v,x) ),
file('GEO549+1.p',unknown),
[] ).
cnf(30,axiom,
( ~ cyclic(u,v,w,x)
| cyclic(v,u,w,x) ),
file('GEO549+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO549+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO549+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO549+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO549+1.p',unknown),
[] ).
cnf(56,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO549+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO549+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO549+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO549+1.p',unknown),
[] ).
cnf(88,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO549+1.p',unknown),
[] ).
cnf(124,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('GEO549+1.p',unknown),
[] ).
cnf(130,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('GEO549+1.p',unknown),
[] ).
cnf(399,plain,
perp(skc23,skc26,skc17,skc30),
inference(res,[status(thm),theory(equality)],[15,27]),
[iquote('0:Res:15.0,27.0')] ).
cnf(404,plain,
perp(skc23,skc26,skc16,skc27),
inference(res,[status(thm),theory(equality)],[9,27]),
[iquote('0:Res:9.0,27.0')] ).
cnf(894,plain,
( ~ perp(u,v,skc16,skc27)
| para(u,v,skc23,skc26) ),
inference(res,[status(thm),theory(equality)],[9,53]),
[iquote('0:Res:9.0,53.0')] ).
cnf(901,plain,
( ~ perp(u,v,skc23,skc26)
| para(u,v,skc17,skc30) ),
inference(res,[status(thm),theory(equality)],[399,53]),
[iquote('0:Res:399.0,53.0')] ).
cnf(1315,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[43,66]),
[iquote('0:Res:43.1,66.0')] ).
cnf(1356,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[43,64]),
[iquote('0:Res:43.1,64.0')] ).
cnf(1718,plain,
( ~ para(u,v,u,v)
| ~ coll(u,u,w)
| cyclic(v,w,u,u) ),
inference(res,[status(thm),theory(equality)],[43,88]),
[iquote('0:Res:43.1,88.1')] ).
cnf(2597,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)],[43,124]),
[iquote('0:Res:43.1,124.0')] ).
cnf(2730,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)],[44,130]),
[iquote('0:Res:44.1,130.3')] ).
cnf(2732,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)],[2730]),
[iquote('0:Obv:2730.0')] ).
cnf(2733,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2732]),
[iquote('0:Con:2732.2')] ).
cnf(5321,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1356,42]),
[iquote('0:Res:1356.1,42.0')] ).
cnf(5649,plain,
( ~ perp(skc23,skc26,skc16,skc27)
| ~ coll(skc23,skc23,u)
| cyclic(skc26,u,skc23,skc23) ),
inference(res,[status(thm),theory(equality)],[894,1718]),
[iquote('0:Res:894.1,1718.0')] ).
cnf(5655,plain,
( ~ coll(skc23,skc23,u)
| cyclic(skc26,u,skc23,skc23) ),
inference(mrr,[status(thm)],[5649,404]),
[iquote('0:MRR:5649.0,404.0')] ).
cnf(12009,plain,
( ~ para(u,v,w,x)
| ~ para(y,z,x1,x2)
| eqangle(u,v,w,x,x1,x2,y,z) ),
inference(res,[status(thm),theory(equality)],[1315,2597]),
[iquote('0:Res:1315.1,2597.1')] ).
cnf(18499,plain,
( ~ coll(skc23,skc23,u)
| cyclic(skc26,skc23,u,skc23) ),
inference(res,[status(thm),theory(equality)],[5655,29]),
[iquote('0:Res:5655.1,29.0')] ).
cnf(22562,plain,
( ~ perp(skc17,skc30,skc23,skc26)
| para(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[901,5321]),
[iquote('0:Res:901.1,5321.0')] ).
cnf(37105,plain,
para(u,v,u,v),
inference(mrr,[status(thm)],[22562,15]),
[iquote('0:MRR:22562.0,15.0')] ).
cnf(43754,plain,
coll(u,v,v),
inference(res,[status(thm),theory(equality)],[37105,22]),
[iquote('0:Res:37105.0,22.0')] ).
cnf(43841,plain,
coll(u,v,u),
inference(res,[status(thm),theory(equality)],[43754,18]),
[iquote('0:Res:43754.0,18.0')] ).
cnf(43858,plain,
coll(u,u,v),
inference(res,[status(thm),theory(equality)],[43841,17]),
[iquote('0:Res:43841.0,17.0')] ).
cnf(43875,plain,
cyclic(skc26,skc23,u,skc23),
inference(mrr,[status(thm)],[18499,43858]),
[iquote('0:MRR:18499.0,43858.0')] ).
cnf(46172,plain,
cyclic(skc26,skc23,skc23,u),
inference(res,[status(thm),theory(equality)],[43875,28]),
[iquote('0:Res:43875.0,28.0')] ).
cnf(46201,plain,
cyclic(skc23,skc26,skc23,u),
inference(res,[status(thm),theory(equality)],[46172,30]),
[iquote('0:Res:46172.0,30.0')] ).
cnf(46450,plain,
( ~ cyclic(skc23,skc26,skc23,u)
| cyclic(skc26,skc23,u,v) ),
inference(res,[status(thm),theory(equality)],[46201,56]),
[iquote('0:Res:46201.0,56.0')] ).
cnf(46456,plain,
cyclic(skc26,skc23,u,v),
inference(mrr,[status(thm)],[46450,46201]),
[iquote('0:MRR:46450.0,46201.0')] ).
cnf(46500,plain,
cyclic(skc26,u,skc23,v),
inference(res,[status(thm),theory(equality)],[46456,29]),
[iquote('0:Res:46456.0,29.0')] ).
cnf(46610,plain,
( ~ cyclic(skc26,u,skc23,u)
| cong(skc26,u,skc26,u) ),
inference(res,[status(thm),theory(equality)],[46500,2733]),
[iquote('0:Res:46500.0,2733.0')] ).
cnf(46615,plain,
cong(skc26,u,skc26,u),
inference(mrr,[status(thm)],[46610,46500]),
[iquote('0:MRR:46610.0,46500.0')] ).
cnf(46903,plain,
( ~ cong(skc26,u,skc26,u)
| perp(skc26,skc26,u,v) ),
inference(res,[status(thm),theory(equality)],[46615,58]),
[iquote('0:Res:46615.0,58.0')] ).
cnf(46910,plain,
perp(skc26,skc26,u,v),
inference(mrr,[status(thm)],[46903,46615]),
[iquote('0:MRR:46903.0,46615.0')] ).
cnf(47146,plain,
( ~ perp(u,v,skc26,skc26)
| para(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[46910,53]),
[iquote('0:Res:46910.0,53.0')] ).
cnf(47148,plain,
perp(u,v,skc26,skc26),
inference(res,[status(thm),theory(equality)],[46910,27]),
[iquote('0:Res:46910.0,27.0')] ).
cnf(47579,plain,
para(u,v,w,x),
inference(mrr,[status(thm)],[47146,47148]),
[iquote('0:MRR:47146.0,47148.0')] ).
cnf(47658,plain,
eqangle(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[12009,47579]),
[iquote('0:MRR:12009.1,12009.0,47579.0')] ).
cnf(48006,plain,
$false,
inference(unc,[status(thm)],[47658,21]),
[iquote('0:UnC:47658.0,21.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO549+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n023.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 09:42:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 39.38/39.57
% 39.38/39.57 SPASS V 3.9
% 39.38/39.57 SPASS beiseite: Proof found.
% 39.38/39.57 % SZS status Theorem
% 39.38/39.57 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 39.38/39.57 SPASS derived 47147 clauses, backtracked 10683 clauses, performed 1 splits and kept 30476 clauses.
% 39.38/39.57 SPASS allocated 117074 KBytes.
% 39.38/39.57 SPASS spent 0:0:39.05 on the problem.
% 39.38/39.57 0:00:00.04 for the input.
% 39.38/39.57 0:00:00.22 for the FLOTTER CNF translation.
% 39.38/39.57 0:00:00.69 for inferences.
% 39.38/39.57 0:00:00.02 for the backtracking.
% 39.38/39.57 0:0:36.50 for the reduction.
% 39.38/39.57
% 39.38/39.57
% 39.38/39.57 Here is a proof with depth 10, length 57 :
% 39.38/39.57 % SZS output start Refutation
% See solution above
% 39.38/39.57 Formulae used in the proof : exemplo6GDDFULL012009 ruleD1 ruleD2 ruleD66 ruleD8 ruleD14 ruleD15 ruleD16 ruleD39 ruleD40 ruleD41 ruleD9 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42b ruleD22 ruleD43
% 39.38/39.57
%------------------------------------------------------------------------------