TSTP Solution File: GEO566+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO566+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 06:25:16 EDT 2022
% Result : Theorem 2.69s 2.88s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of clauses : 40 ( 25 unt; 0 nHn; 40 RR)
% Number of literals : 56 ( 0 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
coll(skc9,skc14,skc15),
file('GEO566+1.p',unknown),
[] ).
cnf(2,axiom,
coll(skc10,skc14,skc11),
file('GEO566+1.p',unknown),
[] ).
cnf(4,axiom,
coll(skc8,skc12,skc11),
file('GEO566+1.p',unknown),
[] ).
cnf(11,axiom,
~ coll(skc10,skc9,skc8),
file('GEO566+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO566+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO566+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO566+1.p',unknown),
[] ).
cnf(130,plain,
( ~ coll(skc8,skc12,u)
| coll(u,skc11,skc8) ),
inference(res,[status(thm),theory(equality)],[4,29]),
[iquote('0:Res:4.0,29.1')] ).
cnf(172,plain,
( ~ coll(skc10,skc14,u)
| coll(skc11,u,skc10) ),
inference(res,[status(thm),theory(equality)],[2,29]),
[iquote('0:Res:2.0,29.0')] ).
cnf(173,plain,
coll(skc10,skc11,skc14),
inference(res,[status(thm),theory(equality)],[2,12]),
[iquote('0:Res:2.0,12.0')] ).
cnf(176,plain,
( ~ coll(skc10,skc14,u)
| coll(u,skc11,skc10) ),
inference(res,[status(thm),theory(equality)],[2,29]),
[iquote('0:Res:2.0,29.1')] ).
cnf(196,plain,
coll(skc9,skc15,skc14),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.0')] ).
cnf(225,plain,
( ~ coll(skc8,u,skc9)
| ~ coll(skc8,u,skc10) ),
inference(res,[status(thm),theory(equality)],[29,11]),
[iquote('0:Res:29.2,11.0')] ).
cnf(315,plain,
( ~ coll(skc10,skc14,u)
| coll(skc11,skc10,u) ),
inference(res,[status(thm),theory(equality)],[172,12]),
[iquote('0:Res:172.1,12.0')] ).
cnf(333,plain,
coll(skc11,skc11,skc10),
inference(res,[status(thm),theory(equality)],[2,176]),
[iquote('0:Res:2.0,176.0')] ).
cnf(334,plain,
coll(skc11,skc10,skc11),
inference(res,[status(thm),theory(equality)],[333,12]),
[iquote('0:Res:333.0,12.0')] ).
cnf(337,plain,
coll(skc10,skc11,skc11),
inference(res,[status(thm),theory(equality)],[334,13]),
[iquote('0:Res:334.0,13.0')] ).
cnf(342,plain,
coll(skc11,skc11,skc8),
inference(res,[status(thm),theory(equality)],[4,130]),
[iquote('0:Res:4.0,130.0')] ).
cnf(424,plain,
( ~ coll(skc11,skc10,u)
| coll(u,skc11,skc11) ),
inference(res,[status(thm),theory(equality)],[334,29]),
[iquote('0:Res:334.0,29.0')] ).
cnf(438,plain,
( ~ coll(skc9,skc15,u)
| coll(u,skc14,skc9) ),
inference(res,[status(thm),theory(equality)],[196,29]),
[iquote('0:Res:196.0,29.0')] ).
cnf(439,plain,
( ~ coll(skc10,skc11,u)
| coll(u,skc14,skc10) ),
inference(res,[status(thm),theory(equality)],[173,29]),
[iquote('0:Res:173.0,29.0')] ).
cnf(448,plain,
( ~ coll(skc10,skc11,u)
| coll(u,skc11,skc10) ),
inference(res,[status(thm),theory(equality)],[337,29]),
[iquote('0:Res:337.0,29.0')] ).
cnf(451,plain,
( ~ coll(skc11,skc11,u)
| coll(u,skc8,skc11) ),
inference(res,[status(thm),theory(equality)],[342,29]),
[iquote('0:Res:342.0,29.0')] ).
cnf(536,plain,
( ~ coll(skc10,skc14,u)
| coll(u,skc11,skc11) ),
inference(res,[status(thm),theory(equality)],[315,424]),
[iquote('0:Res:315.1,424.0')] ).
cnf(708,plain,
coll(skc14,skc14,skc9),
inference(res,[status(thm),theory(equality)],[196,438]),
[iquote('0:Res:196.0,438.0')] ).
cnf(712,plain,
( ~ coll(skc14,skc14,u)
| coll(u,skc9,skc14) ),
inference(res,[status(thm),theory(equality)],[708,29]),
[iquote('0:Res:708.0,29.0')] ).
cnf(736,plain,
coll(skc14,skc14,skc10),
inference(res,[status(thm),theory(equality)],[173,439]),
[iquote('0:Res:173.0,439.0')] ).
cnf(4100,plain,
coll(skc10,skc8,skc11),
inference(res,[status(thm),theory(equality)],[333,451]),
[iquote('0:Res:333.0,451.0')] ).
cnf(4114,plain,
coll(skc10,skc11,skc8),
inference(res,[status(thm),theory(equality)],[4100,12]),
[iquote('0:Res:4100.0,12.0')] ).
cnf(4128,plain,
coll(skc8,skc11,skc10),
inference(res,[status(thm),theory(equality)],[4114,448]),
[iquote('0:Res:4114.0,448.0')] ).
cnf(4149,plain,
~ coll(skc8,skc11,skc9),
inference(res,[status(thm),theory(equality)],[4128,225]),
[iquote('0:Res:4128.0,225.1')] ).
cnf(7389,plain,
coll(skc10,skc9,skc14),
inference(res,[status(thm),theory(equality)],[736,712]),
[iquote('0:Res:736.0,712.0')] ).
cnf(7403,plain,
coll(skc10,skc14,skc9),
inference(res,[status(thm),theory(equality)],[7389,12]),
[iquote('0:Res:7389.0,12.0')] ).
cnf(7409,plain,
coll(skc9,skc11,skc11),
inference(res,[status(thm),theory(equality)],[7403,536]),
[iquote('0:Res:7403.0,536.0')] ).
cnf(7432,plain,
coll(skc11,skc9,skc11),
inference(res,[status(thm),theory(equality)],[7409,13]),
[iquote('0:Res:7409.0,13.0')] ).
cnf(7530,plain,
coll(skc11,skc11,skc9),
inference(res,[status(thm),theory(equality)],[7432,12]),
[iquote('0:Res:7432.0,12.0')] ).
cnf(7658,plain,
coll(skc9,skc8,skc11),
inference(res,[status(thm),theory(equality)],[7530,451]),
[iquote('0:Res:7530.0,451.0')] ).
cnf(7715,plain,
coll(skc8,skc9,skc11),
inference(res,[status(thm),theory(equality)],[7658,13]),
[iquote('0:Res:7658.0,13.0')] ).
cnf(7766,plain,
coll(skc8,skc11,skc9),
inference(res,[status(thm),theory(equality)],[7715,12]),
[iquote('0:Res:7715.0,12.0')] ).
cnf(7768,plain,
$false,
inference(mrr,[status(thm)],[7766,4149]),
[iquote('0:MRR:7766.0,4149.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO566+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 03:32:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.69/2.88
% 2.69/2.88 SPASS V 3.9
% 2.69/2.88 SPASS beiseite: Proof found.
% 2.69/2.88 % SZS status Theorem
% 2.69/2.88 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.69/2.88 SPASS derived 7540 clauses, backtracked 0 clauses, performed 3 splits and kept 4811 clauses.
% 2.69/2.88 SPASS allocated 91189 KBytes.
% 2.69/2.88 SPASS spent 0:00:02.47 on the problem.
% 2.69/2.88 0:00:00.04 for the input.
% 2.69/2.88 0:00:00.21 for the FLOTTER CNF translation.
% 2.69/2.88 0:00:00.16 for inferences.
% 2.69/2.88 0:00:00.01 for the backtracking.
% 2.69/2.88 0:00:01.88 for the reduction.
% 2.69/2.88
% 2.69/2.88
% 2.69/2.88 Here is a proof with depth 12, length 40 :
% 2.69/2.88 % SZS output start Refutation
% See solution above
% 2.69/2.88 Formulae used in the proof : exemplo6GDDFULL214028 ruleD1 ruleD2 ruleD3
% 2.69/2.88
%------------------------------------------------------------------------------