TSTP Solution File: GEO620+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO620+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 06:25:34 EDT 2022
% Result : Theorem 3.56s 3.76s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of clauses : 39 ( 27 unt; 0 nHn; 39 RR)
% Number of literals : 52 ( 0 equ; 16 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('GEO620+1.p',unknown),
[] ).
cnf(2,axiom,
coll(skc8,skc14,skc11),
file('GEO620+1.p',unknown),
[] ).
cnf(3,axiom,
coll(skc10,skc12,skc11),
file('GEO620+1.p',unknown),
[] ).
cnf(8,axiom,
~ coll(skc8,skc10,skc9),
file('GEO620+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ coll(u,v,w)
| coll(u,w,v) ),
file('GEO620+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ coll(u,v,w)
| coll(v,u,w) ),
file('GEO620+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ coll(u,v,w)
| ~ coll(u,v,x)
| coll(x,w,u) ),
file('GEO620+1.p',unknown),
[] ).
cnf(130,plain,
( ~ coll(skc10,skc12,u)
| coll(u,skc11,skc10) ),
inference(res,[status(thm),theory(equality)],[3,29]),
[iquote('0:Res:3.0,29.1')] ).
cnf(150,plain,
coll(skc8,skc11,skc14),
inference(res,[status(thm),theory(equality)],[2,12]),
[iquote('0:Res:2.0,12.0')] ).
cnf(151,plain,
coll(skc14,skc8,skc11),
inference(res,[status(thm),theory(equality)],[2,13]),
[iquote('0:Res:2.0,13.0')] ).
cnf(153,plain,
( ~ coll(skc8,skc14,u)
| coll(u,skc11,skc8) ),
inference(res,[status(thm),theory(equality)],[2,29]),
[iquote('0:Res:2.0,29.1')] ).
cnf(173,plain,
coll(skc9,skc15,skc14),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.0')] ).
cnf(202,plain,
( ~ coll(skc9,u,skc10)
| ~ coll(skc9,u,skc8) ),
inference(res,[status(thm),theory(equality)],[29,8]),
[iquote('0:Res:29.2,8.0')] ).
cnf(263,plain,
coll(skc11,skc11,skc10),
inference(res,[status(thm),theory(equality)],[3,130]),
[iquote('0:Res:3.0,130.0')] ).
cnf(421,plain,
( ~ coll(skc14,skc8,u)
| coll(u,skc11,skc14) ),
inference(res,[status(thm),theory(equality)],[151,29]),
[iquote('0:Res:151.0,29.0')] ).
cnf(427,plain,
( ~ coll(skc9,skc15,u)
| coll(u,skc14,skc9) ),
inference(res,[status(thm),theory(equality)],[173,29]),
[iquote('0:Res:173.0,29.0')] ).
cnf(428,plain,
( ~ coll(skc8,skc11,u)
| coll(u,skc14,skc8) ),
inference(res,[status(thm),theory(equality)],[150,29]),
[iquote('0:Res:150.0,29.0')] ).
cnf(441,plain,
( ~ coll(skc11,skc11,u)
| coll(u,skc10,skc11) ),
inference(res,[status(thm),theory(equality)],[263,29]),
[iquote('0:Res:263.0,29.0')] ).
cnf(475,plain,
coll(skc11,skc11,skc14),
inference(res,[status(thm),theory(equality)],[151,421]),
[iquote('0:Res:151.0,421.0')] ).
cnf(477,plain,
coll(skc11,skc14,skc11),
inference(res,[status(thm),theory(equality)],[475,12]),
[iquote('0:Res:475.0,12.0')] ).
cnf(479,plain,
( ~ coll(skc11,skc14,u)
| coll(u,skc11,skc11) ),
inference(res,[status(thm),theory(equality)],[477,29]),
[iquote('0:Res:477.0,29.0')] ).
cnf(516,plain,
coll(skc14,skc14,skc9),
inference(res,[status(thm),theory(equality)],[173,427]),
[iquote('0:Res:173.0,427.0')] ).
cnf(518,plain,
( ~ coll(skc14,skc14,u)
| coll(u,skc9,skc14) ),
inference(res,[status(thm),theory(equality)],[516,29]),
[iquote('0:Res:516.0,29.0')] ).
cnf(539,plain,
coll(skc14,skc14,skc8),
inference(res,[status(thm),theory(equality)],[150,428]),
[iquote('0:Res:150.0,428.0')] ).
cnf(542,plain,
coll(skc14,skc8,skc14),
inference(res,[status(thm),theory(equality)],[539,12]),
[iquote('0:Res:539.0,12.0')] ).
cnf(544,plain,
coll(skc14,skc11,skc14),
inference(res,[status(thm),theory(equality)],[542,421]),
[iquote('0:Res:542.0,421.0')] ).
cnf(549,plain,
coll(skc14,skc14,skc11),
inference(res,[status(thm),theory(equality)],[544,12]),
[iquote('0:Res:544.0,12.0')] ).
cnf(8811,plain,
coll(skc11,skc9,skc14),
inference(res,[status(thm),theory(equality)],[549,518]),
[iquote('0:Res:549.0,518.0')] ).
cnf(8816,plain,
coll(skc8,skc9,skc14),
inference(res,[status(thm),theory(equality)],[539,518]),
[iquote('0:Res:539.0,518.0')] ).
cnf(8820,plain,
coll(skc11,skc14,skc9),
inference(res,[status(thm),theory(equality)],[8811,12]),
[iquote('0:Res:8811.0,12.0')] ).
cnf(8823,plain,
coll(skc8,skc14,skc9),
inference(res,[status(thm),theory(equality)],[8816,12]),
[iquote('0:Res:8816.0,12.0')] ).
cnf(8828,plain,
coll(skc9,skc11,skc11),
inference(res,[status(thm),theory(equality)],[8820,479]),
[iquote('0:Res:8820.0,479.0')] ).
cnf(8834,plain,
coll(skc9,skc11,skc8),
inference(res,[status(thm),theory(equality)],[8823,153]),
[iquote('0:Res:8823.0,153.0')] ).
cnf(8848,plain,
coll(skc11,skc9,skc11),
inference(res,[status(thm),theory(equality)],[8828,13]),
[iquote('0:Res:8828.0,13.0')] ).
cnf(8883,plain,
coll(skc11,skc11,skc9),
inference(res,[status(thm),theory(equality)],[8848,12]),
[iquote('0:Res:8848.0,12.0')] ).
cnf(8973,plain,
coll(skc9,skc10,skc11),
inference(res,[status(thm),theory(equality)],[8883,441]),
[iquote('0:Res:8883.0,441.0')] ).
cnf(9081,plain,
coll(skc9,skc11,skc10),
inference(res,[status(thm),theory(equality)],[8973,12]),
[iquote('0:Res:8973.0,12.0')] ).
cnf(9192,plain,
~ coll(skc9,skc11,skc8),
inference(res,[status(thm),theory(equality)],[9081,202]),
[iquote('0:Res:9081.0,202.0')] ).
cnf(9193,plain,
$false,
inference(mrr,[status(thm)],[9192,8834]),
[iquote('0:MRR:9192.0,8834.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO620+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n024.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 15:52:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 3.56/3.76
% 3.56/3.76 SPASS V 3.9
% 3.56/3.76 SPASS beiseite: Proof found.
% 3.56/3.76 % SZS status Theorem
% 3.56/3.76 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.56/3.76 SPASS derived 8860 clauses, backtracked 0 clauses, performed 3 splits and kept 5425 clauses.
% 3.56/3.76 SPASS allocated 92142 KBytes.
% 3.56/3.76 SPASS spent 0:00:03.33 on the problem.
% 3.56/3.76 0:00:00.04 for the input.
% 3.56/3.76 0:00:00.21 for the FLOTTER CNF translation.
% 3.56/3.76 0:00:00.24 for inferences.
% 3.56/3.76 0:00:00.00 for the backtracking.
% 3.56/3.76 0:00:02.61 for the reduction.
% 3.56/3.76
% 3.56/3.76
% 3.56/3.76 Here is a proof with depth 14, length 39 :
% 3.56/3.76 % SZS output start Refutation
% See solution above
% 3.56/3.76 Formulae used in the proof : exemplo6GDDFULL8110982 ruleD1 ruleD2 ruleD3
% 3.56/3.76
%------------------------------------------------------------------------------