%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO624+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 06:25:35 EDT 2022
% Result : Theorem 12.63s 12.82s
% Output : Refutation 12.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 27 ( 7 unt; 2 nHn; 27 RR)
% Number of literals : 56 ( 0 equ; 28 neg)
% Maximal clause size : 4 ( 2 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(12,axiom,
cong(skc10,skc11,skc10,skc13),
file('GEO624+1.p',unknown),
[] ).
cnf(13,axiom,
~ cyclic(skc17,skc14,skc13,skc12),
file('GEO624+1.p',unknown),
[] ).
cnf(38,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO624+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO624+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ cyclic(u,v,w,x)
| eqangle(w,u,w,v,x,u,x,v) ),
file('GEO624+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO624+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO624+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO624+1.p',unknown),
[] ).
cnf(67,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO624+1.p',unknown),
[] ).
cnf(84,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO624+1.p',unknown),
[] ).
cnf(103,axiom,
( ~ cong(u,v,u,w)
| ~ cong(u,v,u,x)
| ~ cong(u,v,u,y)
| cyclic(v,y,x,w) ),
file('GEO624+1.p',unknown),
[] ).
cnf(680,plain,
( ~ cyclic(u,v,w,w)
| para(w,u,w,u) ),
inference(res,[status(thm),theory(equality)],[40,38]),
[iquote('0:Res:40.1,38.0')] ).
cnf(1134,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[39,62]),
[iquote('0:Res:39.1,62.0')] ).
cnf(1174,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[39,60]),
[iquote('0:Res:39.1,60.0')] ).
cnf(1686,plain,
( ~ cong(skc10,skc11,skc10,u)
| ~ cong(skc10,skc11,skc10,v)
| cyclic(skc11,v,u,skc13) ),
inference(res,[status(thm),theory(equality)],[12,103]),
[iquote('0:Res:12.0,103.0')] ).
cnf(3527,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1134,67]),
[iquote('0:Res:1134.1,67.0')] ).
cnf(3538,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1134,84]),
[iquote('0:Res:1134.1,84.1')] ).
cnf(3556,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[3538,3527]),
[iquote('0:MRR:3538.1,3527.1')] ).
cnf(3839,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1174,38]),
[iquote('0:Res:1174.1,38.0')] ).
cnf(4195,plain,
( ~ cong(skc10,skc11,skc10,skc13)
| ~ cong(skc10,skc11,skc10,u)
| para(skc13,skc11,skc13,skc11) ),
inference(res,[status(thm),theory(equality)],[1686,680]),
[iquote('0:Res:1686.2,680.0')] ).
cnf(4196,plain,
( ~ cong(skc10,skc11,skc10,skc13)
| para(skc13,skc11,skc13,skc11) ),
inference(con,[status(thm)],[4195]),
[iquote('0:Con:4195.1')] ).
cnf(4197,plain,
para(skc13,skc11,skc13,skc11),
inference(mrr,[status(thm)],[4196,12]),
[iquote('0:MRR:4196.0,12.0')] ).
cnf(18257,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[4197,3839]),
[iquote('0:Res:4197.0,3839.0')] ).
cnf(18264,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[3556,18257]),
[iquote('0:MRR:3556.0,18257.0')] ).
cnf(22075,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[18264,52]),
[iquote('0:Res:18264.0,52.0')] ).
cnf(22156,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[22075,18264]),
[iquote('0:MRR:22075.0,18264.0')] ).
cnf(22157,plain,
$false,
inference(unc,[status(thm)],[22156,13]),
[iquote('0:UnC:22156.0,13.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO624+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 22:39:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 12.63/12.82
% 12.63/12.82 SPASS V 3.9
% 12.63/12.82 SPASS beiseite: Proof found.
% 12.63/12.82 % SZS status Theorem
% 12.63/12.82 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.63/12.82 SPASS derived 21461 clauses, backtracked 0 clauses, performed 0 splits and kept 11416 clauses.
% 12.63/12.82 SPASS allocated 100752 KBytes.
% 12.63/12.82 SPASS spent 0:0:12.14 on the problem.
% 12.63/12.82 0:00:00.04 for the input.
% 12.63/12.82 0:00:00.22 for the FLOTTER CNF translation.
% 12.63/12.82 0:00:00.39 for inferences.
% 12.63/12.82 0:00:00.00 for the backtracking.
% 12.63/12.82 0:0:11.03 for the reduction.
% 12.63/12.82
% 12.63/12.82
% 12.63/12.82 Here is a proof with depth 3, length 27 :
% 12.63/12.82 % SZS output start Refutation
% See solution above
% 12.63/12.82 Formulae used in the proof : exemplo6GDDFULL8110988 ruleD39 ruleD40 ruleD41 ruleD17 ruleD19 ruleD21 ruleD42a ruleD42b ruleD13
% 12.63/12.82
%------------------------------------------------------------------------------