%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO580+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 06:25:21 EDT 2022
% Result : Theorem 17.21s 17.41s
% Output : Refutation 17.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of clauses : 35 ( 15 unt; 2 nHn; 35 RR)
% Number of literals : 61 ( 0 equ; 25 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-8 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(8,axiom,
~ cyclic(skc8,skc9,skc10,skc11),
file('GEO580+1.p',unknown),
[] ).
cnf(9,axiom,
eqangle(skc15,skc14,skc14,skc13,skc15,skc14,skc14,skc12),
file('GEO580+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ para(u,v,w,x)
| para(u,v,x,w) ),
file('GEO580+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ para(u,v,w,x)
| para(w,x,u,v) ),
file('GEO580+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ eqangle(u,v,w,x,y,z,w,x)
| para(u,v,y,z) ),
file('GEO580+1.p',unknown),
[] ).
cnf(37,axiom,
( ~ para(u,v,w,x)
| eqangle(u,v,y,z,w,x,y,z) ),
file('GEO580+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ cyclic(u,v,w,x)
| ~ cyclic(u,v,w,y)
| cyclic(v,w,y,x) ),
file('GEO580+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(v,u,w,x,y,z,x1,x2) ),
file('GEO580+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(w,x,u,v,x1,x2,y,z) ),
file('GEO580+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(y,z,x1,x2,u,v,w,x) ),
file('GEO580+1.p',unknown),
[] ).
cnf(60,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| eqangle(u,v,y,z,w,x,x1,x2) ),
file('GEO580+1.p',unknown),
[] ).
cnf(65,axiom,
( ~ eqangle(u,v,u,w,x,v,x,w)
| coll(u,x,v)
| cyclic(v,w,u,x) ),
file('GEO580+1.p',unknown),
[] ).
cnf(82,axiom,
( ~ coll(u,v,w)
| ~ eqangle(u,x,u,w,v,x,v,w)
| cyclic(x,w,u,v) ),
file('GEO580+1.p',unknown),
[] ).
cnf(118,axiom,
( ~ eqangle(u,v,w,x,y,z,x1,x2)
| ~ eqangle(x3,x4,x5,x6,u,v,w,x)
| eqangle(x3,x4,x5,x6,y,z,x1,x2) ),
file('GEO580+1.p',unknown),
[] ).
cnf(1247,plain,
( ~ para(u,v,w,x)
| eqangle(u,v,w,x,y,z,y,z) ),
inference(res,[status(thm),theory(equality)],[37,60]),
[iquote('0:Res:37.1,60.0')] ).
cnf(1259,plain,
eqangle(skc15,skc14,skc14,skc12,skc15,skc14,skc14,skc13),
inference(res,[status(thm),theory(equality)],[9,59]),
[iquote('0:Res:9.0,59.0')] ).
cnf(1276,plain,
eqangle(skc14,skc12,skc15,skc14,skc14,skc13,skc15,skc14),
inference(res,[status(thm),theory(equality)],[1259,58]),
[iquote('0:Res:1259.0,58.0')] ).
cnf(1285,plain,
( ~ para(u,v,w,x)
| eqangle(y,z,u,v,y,z,w,x) ),
inference(res,[status(thm),theory(equality)],[37,58]),
[iquote('0:Res:37.1,58.0')] ).
cnf(1566,plain,
eqangle(skc12,skc14,skc15,skc14,skc14,skc13,skc15,skc14),
inference(res,[status(thm),theory(equality)],[1276,57]),
[iquote('0:Res:1276.0,57.0')] ).
cnf(1799,plain,
eqangle(skc15,skc14,skc12,skc14,skc15,skc14,skc14,skc13),
inference(res,[status(thm),theory(equality)],[1566,58]),
[iquote('0:Res:1566.0,58.0')] ).
cnf(2564,plain,
( ~ eqangle(u,v,w,x,skc15,skc14,skc14,skc13)
| eqangle(u,v,w,x,skc15,skc14,skc14,skc12) ),
inference(res,[status(thm),theory(equality)],[9,118]),
[iquote('0:Res:9.0,118.0')] ).
cnf(5518,plain,
( ~ para(u,v,u,v)
| coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1247,65]),
[iquote('0:Res:1247.1,65.0')] ).
cnf(5529,plain,
( ~ para(u,v,u,v)
| ~ coll(u,w,v)
| cyclic(v,v,u,w) ),
inference(res,[status(thm),theory(equality)],[1247,82]),
[iquote('0:Res:1247.1,82.1')] ).
cnf(5544,plain,
( ~ para(u,v,u,v)
| cyclic(v,v,u,w) ),
inference(mrr,[status(thm)],[5529,5518]),
[iquote('0:MRR:5529.1,5518.1')] ).
cnf(5851,plain,
( ~ para(u,v,u,v)
| para(w,x,w,x) ),
inference(res,[status(thm),theory(equality)],[1285,36]),
[iquote('0:Res:1285.1,36.0')] ).
cnf(7212,plain,
eqangle(skc15,skc14,skc12,skc14,skc15,skc14,skc14,skc12),
inference(res,[status(thm),theory(equality)],[1799,2564]),
[iquote('0:Res:1799.0,2564.0')] ).
cnf(7487,plain,
eqangle(skc12,skc14,skc15,skc14,skc14,skc12,skc15,skc14),
inference(res,[status(thm),theory(equality)],[7212,58]),
[iquote('0:Res:7212.0,58.0')] ).
cnf(7631,plain,
para(skc12,skc14,skc14,skc12),
inference(res,[status(thm),theory(equality)],[7487,36]),
[iquote('0:Res:7487.0,36.0')] ).
cnf(7641,plain,
para(skc14,skc12,skc12,skc14),
inference(res,[status(thm),theory(equality)],[7631,19]),
[iquote('0:Res:7631.0,19.0')] ).
cnf(7667,plain,
para(skc14,skc12,skc14,skc12),
inference(res,[status(thm),theory(equality)],[7641,18]),
[iquote('0:Res:7641.0,18.0')] ).
cnf(19119,plain,
para(u,v,u,v),
inference(res,[status(thm),theory(equality)],[7667,5851]),
[iquote('0:Res:7667.0,5851.0')] ).
cnf(19144,plain,
cyclic(u,u,v,w),
inference(mrr,[status(thm)],[5544,19119]),
[iquote('0:MRR:5544.0,19119.0')] ).
cnf(21202,plain,
( ~ cyclic(u,u,v,w)
| cyclic(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[19144,50]),
[iquote('0:Res:19144.0,50.0')] ).
cnf(21464,plain,
cyclic(u,v,w,x),
inference(mrr,[status(thm)],[21202,19144]),
[iquote('0:MRR:21202.0,19144.0')] ).
cnf(21465,plain,
$false,
inference(unc,[status(thm)],[21464,8]),
[iquote('0:UnC:21464.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GEO580+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.10 % Command : run_spass %d %s
% 0.10/0.30 % Computer : n011.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Fri Jun 17 19:09:37 EDT 2022
% 0.10/0.30 % CPUTime :
% 17.21/17.41
% 17.21/17.41 SPASS V 3.9
% 17.21/17.41 SPASS beiseite: Proof found.
% 17.21/17.41 % SZS status Theorem
% 17.21/17.41 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.21/17.41 SPASS derived 20716 clauses, backtracked 0 clauses, performed 2 splits and kept 12840 clauses.
% 17.21/17.41 SPASS allocated 101033 KBytes.
% 17.21/17.41 SPASS spent 0:0:16.60 on the problem.
% 17.21/17.41 0:00:00.04 for the input.
% 17.21/17.41 0:00:00.21 for the FLOTTER CNF translation.
% 17.21/17.41 0:00:00.61 for inferences.
% 17.21/17.41 0:00:00.01 for the backtracking.
% 17.21/17.41 0:0:15.19 for the reduction.
% 17.21/17.41
% 17.21/17.41
% 17.21/17.41 Here is a proof with depth 10, length 35 :
% 17.21/17.41 % SZS output start Refutation
% See solution above
% 17.21/17.41 Formulae used in the proof : exemplo6GDDFULL416042 ruleD4 ruleD5 ruleD39 ruleD40 ruleD17 ruleD18 ruleD19 ruleD20 ruleD21 ruleD42a ruleD42b ruleD22
% 17.21/17.41
%------------------------------------------------------------------------------