%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO631+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 06:25:37 EDT 2022
% Result : Theorem 20.07s 20.25s
% Output : Refutation 20.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 25 ( 7 unt; 2 nHn; 25 RR)
% Number of literals : 49 ( 0 equ; 23 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(13,axiom,
perp(skc14,skc18,skc20,skc19),
file('GEO631+1.p',unknown),
[] ).
cnf(14,axiom,
~ cyclic(skc18,skc16,skc15,skc13),
file('GEO631+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ perp(u,v,w,x)
| perp(w,x,u,v) ),
file('GEO631+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO631+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO631+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ perp(u,v,w,x)
| ~ perp(y,z,u,v)
| para(y,z,w,x) ),
file('GEO631+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO631+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO631+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO631+1.p',unknown),
[] ).
cnf(68,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO631+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO631+1.p',unknown),
[] ).
cnf(392,plain,
perp(skc20,skc19,skc14,skc18),
inference(res,[status(thm),theory(equality)],[13,24]),
[iquote('0:Res:13.0,24.0')] ).
cnf(866,plain,
( ~ perp(u,v,skc20,skc19)
| para(u,v,skc14,skc18) ),
inference(res,[status(thm),theory(equality)],[392,50]),
[iquote('0:Res:392.0,50.0')] ).
cnf(1239,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[40,63]),
[iquote('0:Res:40.1,63.0')] ).
cnf(1272,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[40,61]),
[iquote('0:Res:40.1,61.0')] ).
cnf(4273,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1239,68]),
[iquote('0:Res:1239.1,68.0')] ).
cnf(4284,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1239,85]),
[iquote('0:Res:1239.1,85.1')] ).
cnf(4302,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4284,4273]),
[iquote('0:MRR:4284.1,4273.1')] ).
cnf(4531,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1272,39]),
[iquote('0:Res:1272.1,39.0')] ).
cnf(20849,plain,
( ~ perp(skc14,skc18,skc20,skc19)
| para(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[866,4531]),
[iquote('0:Res:866.1,4531.0')] ).
cnf(24703,plain,
para(u,v,u,v),
inference(mrr,[status(thm)],[20849,13]),
[iquote('0:MRR:20849.0,13.0')] ).
cnf(24704,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4302,24703]),
[iquote('0:MRR:4302.0,24703.0')] ).
cnf(28514,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[24704,53]),
[iquote('0:Res:24704.0,53.0')] ).
cnf(28588,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[28514,24704]),
[iquote('0:MRR:28514.0,24704.0')] ).
cnf(28589,plain,
$false,
inference(unc,[status(thm)],[28588,14]),
[iquote('0:UnC:28588.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO631+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n012.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 : Fri Jun 17 16:28:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 20.07/20.25
% 20.07/20.25 SPASS V 3.9
% 20.07/20.25 SPASS beiseite: Proof found.
% 20.07/20.25 % SZS status Theorem
% 20.07/20.25 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.07/20.25 SPASS derived 27904 clauses, backtracked 2055 clauses, performed 1 splits and kept 16887 clauses.
% 20.07/20.25 SPASS allocated 105103 KBytes.
% 20.07/20.25 SPASS spent 0:0:19.48 on the problem.
% 20.07/20.25 0:00:00.04 for the input.
% 20.07/20.25 0:00:00.26 for the FLOTTER CNF translation.
% 20.07/20.25 0:00:00.42 for inferences.
% 20.07/20.25 0:00:00.41 for the backtracking.
% 20.07/20.25 0:0:17.81 for the reduction.
% 20.07/20.25
% 20.07/20.25
% 20.07/20.25 Here is a proof with depth 3, length 25 :
% 20.07/20.25 % SZS output start Refutation
% See solution above
% 20.07/20.25 Formulae used in the proof : exemplo6GDDFULL8110994 ruleD8 ruleD39 ruleD40 ruleD9 ruleD17 ruleD19 ruleD21 ruleD42a ruleD42b
% 20.07/20.25
%------------------------------------------------------------------------------