TSTP Solution File: GEO542+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO542+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 06:25:08 EDT 2022
% Result : Theorem 43.33s 43.52s
% Output : Refutation 43.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 20
% Syntax : Number of clauses : 54 ( 17 unt; 2 nHn; 54 RR)
% Number of literals : 112 ( 0 equ; 58 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 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,
midp(skc8,skc11,skc13),
file('GEO542+1.p',unknown),
[] ).
cnf(5,axiom,
~ perp(skc10,skc7,skc8,skc9),
file('GEO542+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO542+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO542+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO542+1.p',unknown),
[] ).
cnf(30,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO542+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO542+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO542+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ cong(u,v,u,w)
| eqangle(u,v,v,w,v,w,u,w) ),
file('GEO542+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO542+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO542+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ cong(u,v,w,v)
| ~ cong(u,x,w,x)
| perp(u,w,x,v) ),
file('GEO542+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('GEO542+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('GEO542+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('GEO542+1.p',unknown),
[] ).
cnf(66,axiom,
( ~ perp(u,v,v,w)
| ~ cyclic(u,w,v,x)
| circle(skf35(v,w,u),u,w,v) ),
file('GEO542+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('GEO542+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ perp(u,v,v,w)
| ~ circle(u,v,x,y)
| eqangle(v,w,v,x,y,v,y,x) ),
file('GEO542+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('GEO542+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('GEO542+1.p',unknown),
[] ).
cnf(184,plain,
( ~ midp(skc8,u,v)
| para(skc11,u,skc13,v) ),
inference(res,[status(thm),theory(equality)],[1,35]),
[iquote('0:Res:1.0,35.0')] ).
cnf(186,plain,
midp(skc8,skc13,skc11),
inference(res,[status(thm),theory(equality)],[1,8]),
[iquote('0:Res:1.0,8.0')] ).
cnf(211,plain,
~ perp(skc8,skc9,skc10,skc7),
inference(res,[status(thm),theory(equality)],[15,5]),
[iquote('0:Res:15.1,5.0')] ).
cnf(379,plain,
( ~ midp(skc8,u,v)
| para(skc11,u,v,skc13) ),
inference(res,[status(thm),theory(equality)],[184,12]),
[iquote('0:Res:184.1,12.0')] ).
cnf(655,plain,
( ~ cong(u,u,u,v)
| para(u,u,u,v) ),
inference(res,[status(thm),theory(equality)],[34,30]),
[iquote('0:Res:34.1,30.0')] ).
cnf(1220,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(1255,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(2756,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(2758,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)],[2756]),
[iquote('0:Obv:2756.0')] ).
cnf(2759,plain,
( ~ cyclic(u,v,w,u)
| ~ cyclic(u,v,w,v)
| cong(u,v,u,v) ),
inference(con,[status(thm)],[2758]),
[iquote('0:Con:2758.2')] ).
cnf(4220,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1220,59]),
[iquote('0:Res:1220.1,59.0')] ).
cnf(4231,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1220,76]),
[iquote('0:Res:1220.1,76.1')] ).
cnf(4243,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4231,4220]),
[iquote('0:MRR:4231.1,4220.1')] ).
cnf(4507,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1255,30]),
[iquote('0:Res:1255.1,30.0')] ).
cnf(12571,plain,
( ~ midp(skc8,skc13,skc11)
| cyclic(skc13,skc13,skc11,u) ),
inference(res,[status(thm),theory(equality)],[379,4243]),
[iquote('0:Res:379.1,4243.0')] ).
cnf(12585,plain,
cyclic(skc13,skc13,skc11,u),
inference(mrr,[status(thm)],[12571,186]),
[iquote('0:MRR:12571.0,186.0')] ).
cnf(12618,plain,
( ~ cyclic(skc13,skc13,skc11,skc13)
| cong(skc13,skc13,skc13,skc13) ),
inference(res,[status(thm),theory(equality)],[12585,2759]),
[iquote('0:Res:12585.0,2759.0')] ).
cnf(12632,plain,
cong(skc13,skc13,skc13,skc13),
inference(mrr,[status(thm)],[12618,12585]),
[iquote('0:MRR:12618.0,12585.0')] ).
cnf(12684,plain,
para(skc13,skc13,skc13,skc13),
inference(res,[status(thm),theory(equality)],[12632,655]),
[iquote('0:Res:12632.0,655.0')] ).
cnf(12933,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[12684,4507]),
[iquote('0:Res:12684.0,4507.0')] ).
cnf(12942,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4243,12933]),
[iquote('0:MRR:4243.0,12933.0')] ).
cnf(37052,plain,
( ~ cong(u,v,u,v)
| ~ cong(u,w,u,w)
| perp(w,u,u,v) ),
inference(res,[status(thm),theory(equality)],[12942,92]),
[iquote('0:Res:12942.0,92.0')] ).
cnf(37053,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[12942,44]),
[iquote('0:Res:12942.0,44.0')] ).
cnf(37231,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[37053,12942]),
[iquote('0:MRR:37053.0,12942.0')] ).
cnf(37235,plain,
( ~ eqangle(u,v,u,w,x,y,x,z)
| cong(v,w,y,z) ),
inference(mrr,[status(thm)],[118,37231]),
[iquote('0:MRR:118.2,118.1,118.0,37231.0')] ).
cnf(37250,plain,
( ~ perp(u,v,v,w)
| circle(skf35(v,w,u),u,w,v) ),
inference(mrr,[status(thm)],[66,37231]),
[iquote('0:MRR:66.1,37231.0')] ).
cnf(37252,plain,
cong(u,v,u,v),
inference(mrr,[status(thm)],[2759,37231]),
[iquote('0:MRR:2759.1,2759.0,37231.0')] ).
cnf(37594,plain,
perp(u,v,v,w),
inference(mrr,[status(thm)],[37052,37252]),
[iquote('0:MRR:37052.0,37052.1,37252.0,37252.0')] ).
cnf(37600,plain,
( ~ circle(u,v,w,x)
| eqangle(v,y,v,w,x,v,x,w) ),
inference(mrr,[status(thm)],[89,37594]),
[iquote('0:MRR:89.0,37594.0')] ).
cnf(37613,plain,
circle(skf35(u,v,w),w,v,u),
inference(mrr,[status(thm)],[37250,37594]),
[iquote('0:MRR:37250.0,37594.0')] ).
cnf(38649,plain,
eqangle(u,v,u,w,x,u,x,w),
inference(res,[status(thm),theory(equality)],[37613,37600]),
[iquote('0:Res:37613.0,37600.0')] ).
cnf(39362,plain,
cong(u,v,w,v),
inference(res,[status(thm),theory(equality)],[38649,37235]),
[iquote('0:Res:38649.0,37235.0')] ).
cnf(39382,plain,
perp(u,v,w,x),
inference(mrr,[status(thm)],[46,39362]),
[iquote('0:MRR:46.1,46.0,39362.0')] ).
cnf(39399,plain,
$false,
inference(unc,[status(thm)],[39382,211]),
[iquote('0:UnC:39382.0,211.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO542+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 08:20:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 43.33/43.52
% 43.33/43.52 SPASS V 3.9
% 43.33/43.52 SPASS beiseite: Proof found.
% 43.33/43.52 % SZS status Theorem
% 43.33/43.52 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 43.33/43.52 SPASS derived 30992 clauses, backtracked 10536 clauses, performed 2 splits and kept 29348 clauses.
% 43.33/43.52 SPASS allocated 114722 KBytes.
% 43.33/43.52 SPASS spent 0:0:42.76 on the problem.
% 43.33/43.52 0:00:00.04 for the input.
% 43.33/43.52 0:00:00.22 for the FLOTTER CNF translation.
% 43.33/43.52 0:00:00.50 for inferences.
% 43.33/43.52 0:00:02.11 for the backtracking.
% 43.33/43.52 0:0:39.26 for the reduction.
% 43.33/43.52
% 43.33/43.52
% 43.33/43.52 Here is a proof with depth 6, length 54 :
% 43.33/43.52 % SZS output start Refutation
% See solution above
% 43.33/43.52 Formulae used in the proof : exemplo6GDDFULL012002 ruleD11 ruleD4 ruleD8 ruleD39 ruleD40 ruleD41 ruleD46 ruleD63 ruleD17 ruleD56 ruleD19 ruleD21 ruleD42a ruleX14 ruleD42b ruleD48 ruleD57 ruleD43
% 43.33/43.52
%------------------------------------------------------------------------------