TSTP Solution File: GEO640+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO640+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 06:25:40 EDT 2022
% Result : Theorem 9.07s 9.24s
% Output : Refutation 9.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 27 ( 9 unt; 2 nHn; 27 RR)
% Number of literals : 51 ( 0 equ; 23 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 16 ( 16 usr; 15 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(25,axiom,
circle(skc57,skc36,skc32,skc59),
file('GEO640+1.p',unknown),
[] ).
cnf(26,axiom,
~ cyclic(skc30,skc31,skc32,skc33),
file('GEO640+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO640+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ circle(u,v,w,x)
| perp(skf31(u,v),v,v,u) ),
file('GEO640+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO640+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO640+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO640+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO640+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO640+1.p',unknown),
[] ).
cnf(75,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO640+1.p',unknown),
[] ).
cnf(80,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO640+1.p',unknown),
[] ).
cnf(97,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO640+1.p',unknown),
[] ).
cnf(441,plain,
perp(skf31(skc57,skc36),skc36,skc36,skc57),
inference(res,[status(thm),theory(equality)],[25,43]),
[iquote('0:Res:25.0,43.0')] ).
cnf(457,plain,
perp(skc36,skc57,skf31(skc57,skc36),skc36),
inference(res,[status(thm),theory(equality)],[441,36]),
[iquote('0:Res:441.0,36.0')] ).
cnf(919,plain,
( ~ perp(u,v,skf31(skc57,skc36),skc36)
| para(u,v,skc36,skc57) ),
inference(res,[status(thm),theory(equality)],[441,62]),
[iquote('0:Res:441.0,62.0')] ).
cnf(1497,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[52,75]),
[iquote('0:Res:52.1,75.0')] ).
cnf(1529,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[52,73]),
[iquote('0:Res:52.1,73.0')] ).
cnf(5422,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1497,80]),
[iquote('0:Res:1497.1,80.0')] ).
cnf(5433,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1497,97]),
[iquote('0:Res:1497.1,97.1')] ).
cnf(5451,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[5433,5422]),
[iquote('0:MRR:5433.1,5422.1')] ).
cnf(5668,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1529,51]),
[iquote('0:Res:1529.1,51.0')] ).
cnf(15080,plain,
para(skc36,skc57,skc36,skc57),
inference(res,[status(thm),theory(equality)],[457,919]),
[iquote('0:Res:457.0,919.0')] ).
cnf(15099,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[15080,5668]),
[iquote('0:Res:15080.0,5668.0')] ).
cnf(15116,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[5451,15099]),
[iquote('0:MRR:5451.0,15099.0')] ).
cnf(17512,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[15116,65]),
[iquote('0:Res:15116.0,65.0')] ).
cnf(17553,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[17512,15116]),
[iquote('0:MRR:17512.0,15116.0')] ).
cnf(17554,plain,
$false,
inference(unc,[status(thm)],[17553,26]),
[iquote('0:UnC:17553.0,26.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO640+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.13 % Command : run_spass %d %s
% 0.14/0.33 % Computer : n016.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jun 17 19:52:21 EDT 2022
% 0.14/0.34 % CPUTime :
% 9.07/9.24
% 9.07/9.24 SPASS V 3.9
% 9.07/9.24 SPASS beiseite: Proof found.
% 9.07/9.24 % SZS status Theorem
% 9.07/9.24 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.07/9.24 SPASS derived 16852 clauses, backtracked 0 clauses, performed 0 splits and kept 10371 clauses.
% 9.07/9.24 SPASS allocated 98571 KBytes.
% 9.07/9.24 SPASS spent 0:00:08.72 on the problem.
% 9.07/9.24 0:00:00.04 for the input.
% 9.07/9.24 0:00:00.22 for the FLOTTER CNF translation.
% 9.07/9.24 0:00:00.37 for inferences.
% 9.07/9.24 0:00:00.00 for the backtracking.
% 9.07/9.24 0:00:07.57 for the reduction.
% 9.07/9.24
% 9.07/9.24
% 9.07/9.24 Here is a proof with depth 4, length 27 :
% 9.07/9.24 % SZS output start Refutation
% See solution above
% 9.07/9.24 Formulae used in the proof : exemplo6GDDFULL81109106 ruleD8 ruleX11 ruleD39 ruleD40 ruleD9 ruleD17 ruleD19 ruleD21 ruleD42a ruleD42b
% 9.07/9.24
%------------------------------------------------------------------------------