TSTP Solution File: GEO634+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO634+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.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 06:25:38 EDT 2022
% Result : Theorem 17.30s 17.50s
% Output : Refutation 17.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 17
% Syntax : Number of clauses : 45 ( 15 unt; 2 nHn; 45 RR)
% Number of literals : 96 ( 0 equ; 50 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 : 21 ( 21 usr; 20 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(12,axiom,
~ perp(skc14,skc21,skc22,skc18),
file('GEO634+1.p',unknown),
[] ).
cnf(13,axiom,
eqangle(skc16,skc18,skc18,skc12,skc13,skc18,skc18,skc17),
file('GEO634+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO634+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO634+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO634+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO634+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO634+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO634+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(y,z,x1,x2,u,v,w,x) ),
file('GEO634+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO634+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO634+1.p',unknown),
[] ).
cnf(74,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO634+1.p',unknown),
[] ).
cnf(84,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO634+1.p',unknown),
[] ).
cnf(97,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO634+1.p',unknown),
[] ).
cnf(100,axiom,
( ~ cyclic(u,v,w,x)
| ~ cong(u,x,v,x)
| ~ cong(u,w,v,w)
| perp(w,u,u,x) ),
file('GEO634+1.p',unknown),
[] ).
cnf(120,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('GEO634+1.p',unknown),
[] ).
cnf(126,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('GEO634+1.p',unknown),
[] ).
cnf(1197,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[39,62]),
[iquote('0:Res:39.1,62.0')] ).
cnf(1213,plain,
eqangle(skc13,skc18,skc18,skc17,skc16,skc18,skc18,skc12),
inference(res,[status(thm),theory(equality)],[13,61]),
[iquote('0:Res:13.0,61.0')] ).
cnf(1236,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[39,60]),
[iquote('0:Res:39.1,60.0')] ).
cnf(2593,plain,
( ~ eqangle(u,v,w,x,skc16,skc18,skc18,skc12)
| eqangle(u,v,w,x,skc13,skc18,skc18,skc17) ),
inference(res,[status(thm),theory(equality)],[13,120]),
[iquote('0:Res:13.0,120.0')] ).
cnf(2847,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)],[40,126]),
[iquote('0:Res:40.1,126.3')] ).
cnf(2857,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)],[2847]),
[iquote('0:Obv:2847.0')] ).
cnf(2858,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2857]),
[iquote('0:Con:2857.2')] ).
cnf(4501,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1197,67]),
[iquote('0:Res:1197.1,67.0')] ).
cnf(4512,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1197,84]),
[iquote('0:Res:1197.1,84.1')] ).
cnf(4529,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4512,4501]),
[iquote('0:MRR:4512.1,4501.1')] ).
cnf(4751,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1236,38]),
[iquote('0:Res:1236.1,38.0')] ).
cnf(5655,plain,
eqangle(skc13,skc18,skc18,skc17,skc13,skc18,skc18,skc17),
inference(res,[status(thm),theory(equality)],[1213,2593]),
[iquote('0:Res:1213.0,2593.0')] ).
cnf(5679,plain,
para(skc13,skc18,skc13,skc18),
inference(res,[status(thm),theory(equality)],[5655,38]),
[iquote('0:Res:5655.0,38.0')] ).
cnf(18786,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[5679,4751]),
[iquote('0:Res:5679.0,4751.0')] ).
cnf(18796,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4529,18786]),
[iquote('0:MRR:4529.0,18786.0')] ).
cnf(20998,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[18796,100]),
[iquote('0:Res:18796.0,100.0')] ).
cnf(20999,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[18796,52]),
[iquote('0:Res:18796.0,52.0')] ).
cnf(21115,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[20999,18796]),
[iquote('0:MRR:20999.0,18796.0')] ).
cnf(21119,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[126,21115]),
[iquote('0:MRR:126.2,126.1,126.0,21115.0')] ).
cnf(21134,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[74,21115]),
[iquote('0:MRR:74.1,21115.0')] ).
cnf(21136,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2858,21115]),
[iquote('0:MRR:2858.1,2858.0,21115.0')] ).
cnf(21639,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[20998,21136]),
[iquote('0:MRR:20998.0,20998.1,21136.0,21136.0')] ).
cnf(21657,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[97,21639]),
[iquote('0:MRR:97.0,21639.0')] ).
cnf(21667,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[21134,21639]),
[iquote('0:MRR:21134.0,21639.0')] ).
cnf(24751,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[21667,21657]),
[iquote('0:Res:21667.0,21657.0')] ).
cnf(25996,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[24751,21119]),
[iquote('0:Res:24751.0,21119.0')] ).
cnf(26016,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[54,25996]),
[iquote('0:MRR:54.1,54.0,25996.0')] ).
cnf(26035,plain,
$false,
inference(unc,[status(thm)],[26016,12]),
[iquote('0:UnC:26016.0,12.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO634+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n007.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 05:34:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 17.30/17.50
% 17.30/17.50 SPASS V 3.9
% 17.30/17.50 SPASS beiseite: Proof found.
% 17.30/17.50 % SZS status Theorem
% 17.30/17.50 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.30/17.50 SPASS derived 25158 clauses, backtracked 0 clauses, performed 0 splits and kept 13823 clauses.
% 17.30/17.50 SPASS allocated 102741 KBytes.
% 17.30/17.50 SPASS spent 0:0:16.87 on the problem.
% 17.30/17.50 0:00:00.04 for the input.
% 17.30/17.50 0:00:00.20 for the FLOTTER CNF translation.
% 17.30/17.50 0:00:00.49 for inferences.
% 17.30/17.50 0:00:00.00 for the backtracking.
% 17.30/17.50 0:0:15.56 for the reduction.
% 17.30/17.50
% 17.30/17.50
% 17.30/17.50 Here is a proof with depth 4, length 45 :
% 17.30/17.50 % SZS output start Refutation
% See solution above
% 17.30/17.50 Formulae used in the proof : exemplo6GDDFULL8110997 ruleD39 ruleD40 ruleD41 ruleD17 ruleD56 ruleD19 ruleD20 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD22 ruleD43
% 17.30/17.50
%------------------------------------------------------------------------------