%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO551+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 06:25:11 EDT 2022
% Result : Theorem 17.84s 18.05s
% Output : Refutation 17.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 27 ( 7 unt; 2 nHn; 27 RR)
% Number of literals : 53 ( 0 equ; 25 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 : 14 ( 14 usr; 14 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
midp(skc8,skc13,skc12),
file('GEO551+1.p',unknown),
[] ).
cnf(6,axiom,
~ cyclic(skc8,skc7,skc9,skc10),
file('GEO551+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ midp(u,v,w)
| midp(u,w,v) ),
file('GEO551+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO551+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO551+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO551+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ midp(u,v,w)
| ~ midp(u,x,y)
| para(x,v,y,w) ),
file('GEO551+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO551+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO551+1.p',unknown),
[] ).
cnf(55,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO551+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO551+1.p',unknown),
[] ).
cnf(77,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO551+1.p',unknown),
[] ).
cnf(210,plain,
midp(skc8,skc12,skc13),
inference(res,[status(thm),theory(equality)],[1,9]),
[iquote('0:Res:1.0,9.0')] ).
cnf(212,plain,
( ~ midp(skc8,u,v)
| para(u,skc13,v,skc12) ),
inference(res,[status(thm),theory(equality)],[1,36]),
[iquote('0:Res:1.0,36.1')] ).
cnf(1067,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[32,55]),
[iquote('0:Res:32.1,55.0')] ).
cnf(1097,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[32,53]),
[iquote('0:Res:32.1,53.0')] ).
cnf(2482,plain,
( ~ midp(skc8,u,v)
| para(u,skc13,skc12,v) ),
inference(res,[status(thm),theory(equality)],[212,13]),
[iquote('0:Res:212.1,13.0')] ).
cnf(4355,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1067,60]),
[iquote('0:Res:1067.1,60.0')] ).
cnf(4366,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1067,77]),
[iquote('0:Res:1067.1,77.1')] ).
cnf(4379,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[4366,4355]),
[iquote('0:MRR:4366.1,4355.1')] ).
cnf(4703,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1097,31]),
[iquote('0:Res:1097.1,31.0')] ).
cnf(19481,plain,
( ~ midp(skc8,skc12,skc13)
| para(u,v,u,v) ),
inference(res,[status(thm),theory(equality)],[2482,4703]),
[iquote('0:Res:2482.1,4703.0')] ).
cnf(19496,plain,
para(u,v,u,v),
inference(mrr,[status(thm)],[19481,210]),
[iquote('0:MRR:19481.0,210.0')] ).
cnf(19500,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[4379,19496]),
[iquote('0:MRR:4379.0,19496.0')] ).
cnf(22042,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[19500,45]),
[iquote('0:Res:19500.0,45.0')] ).
cnf(22141,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[22042,19500]),
[iquote('0:MRR:22042.0,19500.0')] ).
cnf(22142,plain,
$false,
inference(unc,[status(thm)],[22141,6]),
[iquote('0:UnC:22141.0,6.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO551+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 10:48:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 17.84/18.05
% 17.84/18.05 SPASS V 3.9
% 17.84/18.05 SPASS beiseite: Proof found.
% 17.84/18.05 % SZS status Theorem
% 17.84/18.05 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.84/18.05 SPASS derived 21219 clauses, backtracked 0 clauses, performed 1 splits and kept 12694 clauses.
% 17.84/18.05 SPASS allocated 101802 KBytes.
% 17.84/18.05 SPASS spent 0:0:17.41 on the problem.
% 17.84/18.05 0:00:00.04 for the input.
% 17.84/18.05 0:00:00.24 for the FLOTTER CNF translation.
% 17.84/18.05 0:00:00.48 for inferences.
% 17.84/18.05 0:00:00.47 for the backtracking.
% 17.84/18.05 0:0:15.73 for the reduction.
% 17.84/18.05
% 17.84/18.05
% 17.84/18.05 Here is a proof with depth 3, length 27 :
% 17.84/18.05 % SZS output start Refutation
% See solution above
% 17.84/18.05 Formulae used in the proof : exemplo6GDDFULL012011 ruleD11 ruleD4 ruleD39 ruleD40 ruleD63 ruleD17 ruleD19 ruleD21 ruleD42a ruleD42b
% 17.84/18.05
%------------------------------------------------------------------------------