%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO555+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 06:25:13 EDT 2022
% Result : Theorem 17.74s 17.98s
% Output : Refutation 17.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 22 ( 7 unt; 2 nHn; 22 RR)
% Number of literals : 43 ( 0 equ; 20 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-8 aty)
% Number of functors : 15 ( 15 usr; 15 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(11,axiom,
perp(skc11,skc17,skc18,skc14),
file('GEO555+1.p',unknown),
[] ).
cnf(15,axiom,
~ cyclic(skc11,skc12,skc13,skc10),
file('GEO555+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO555+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO555+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO555+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO555+1.p',unknown),
[] ).
cnf(64,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO555+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO555+1.p',unknown),
[] ).
cnf(86,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO555+1.p',unknown),
[] ).
cnf(399,plain,
perp(skc18,skc14,skc11,skc17),
inference(res,[status(thm),theory(equality)],[11,25]),
[iquote('0:Res:11.0,25.0')] ).
cnf(899,plain,
( ~ perp(u,v,skc18,skc14)
| para(u,v,skc11,skc17) ),
inference(res,[status(thm),theory(equality)],[399,51]),
[iquote('0:Res:399.0,51.0')] ).
cnf(1302,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[41,64]),
[iquote('0:Res:41.1,64.0')] ).
cnf(4656,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1302,69]),
[iquote('0:Res:1302.1,69.0')] ).
cnf(4667,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1302,86]),
[iquote('0:Res:1302.1,86.1')] ).
cnf(4685,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4667,4656]),
[iquote('0:MRR:4667.1,4656.1')] ).
cnf(22681,plain,
( ~ perp(skc11,skc17,skc18,skc14)
| cyclic(skc17,skc17,skc11,u) ),
inference(res,[status(thm),theory(equality)],[899,4685]),
[iquote('0:Res:899.1,4685.0')] ).
cnf(22712,plain,
cyclic(skc17,skc17,skc11,u),
inference(mrr,[status(thm)],[22681,11]),
[iquote('0:MRR:22681.0,11.0')] ).
cnf(23078,plain,
( ~ cyclic(skc17,skc17,skc11,u)
| cyclic(skc17,skc11,u,v) ),
inference(res,[status(thm),theory(equality)],[22712,54]),
[iquote('0:Res:22712.0,54.0')] ).
cnf(23087,plain,
cyclic(skc17,skc11,u,v),
inference(mrr,[status(thm)],[23078,22712]),
[iquote('0:MRR:23078.0,22712.0')] ).
cnf(27629,plain,
( ~ cyclic(skc17,skc11,u,v)
| cyclic(skc11,u,v,w) ),
inference(res,[status(thm),theory(equality)],[23087,54]),
[iquote('0:Res:23087.0,54.0')] ).
cnf(27635,plain,
cyclic(skc11,u,v,w),
inference(mrr,[status(thm)],[27629,23087]),
[iquote('0:MRR:27629.0,23087.0')] ).
cnf(27636,plain,
$false,
inference(unc,[status(thm)],[27635,15]),
[iquote('0:UnC:27635.0,15.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO555+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.14 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 15:37:39 EDT 2022
% 0.14/0.36 % CPUTime :
% 17.74/17.98
% 17.74/17.98 SPASS V 3.9
% 17.74/17.98 SPASS beiseite: Proof found.
% 17.74/17.98 % SZS status Theorem
% 17.74/17.98 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.74/17.98 SPASS derived 27206 clauses, backtracked 0 clauses, performed 0 splits and kept 13577 clauses.
% 17.74/17.98 SPASS allocated 103532 KBytes.
% 17.74/17.98 SPASS spent 0:0:17.14 on the problem.
% 17.74/17.98 0:00:00.04 for the input.
% 17.74/17.98 0:00:00.22 for the FLOTTER CNF translation.
% 17.74/17.98 0:00:00.52 for inferences.
% 17.74/17.98 0:00:00.00 for the backtracking.
% 17.74/17.98 0:0:15.63 for the reduction.
% 17.74/17.98
% 17.74/17.98
% 17.74/17.98 Here is a proof with depth 5, length 22 :
% 17.74/17.98 % SZS output start Refutation
% See solution above
% 17.74/17.99 Formulae used in the proof : exemplo6GDDFULL012015 ruleD8 ruleD40 ruleD9 ruleD17 ruleD21 ruleD42a ruleD42b
% 17.74/17.99
%------------------------------------------------------------------------------