TSTP Solution File: SEU165+2 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU165+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 : Tue Jul 19 14:34:36 EDT 2022
% Result : Theorem 0.11s 0.50s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 3 unt; 2 nHn; 9 RR)
% Number of literals : 17 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(75,axiom,
( in(skc6,skc8)
| in(ordered_pair(skc6,skc7),cartesian_product2(skc8,skc9)) ),
file('SEU165+2.p',unknown),
[] ).
cnf(76,axiom,
( in(skc7,skc9)
| in(ordered_pair(skc6,skc7),cartesian_product2(skc8,skc9)) ),
file('SEU165+2.p',unknown),
[] ).
cnf(89,axiom,
( ~ in(ordered_pair(u,v),cartesian_product2(w,x))
| in(u,w) ),
file('SEU165+2.p',unknown),
[] ).
cnf(90,axiom,
( ~ in(ordered_pair(u,v),cartesian_product2(w,x))
| in(v,x) ),
file('SEU165+2.p',unknown),
[] ).
cnf(126,axiom,
( ~ in(u,v)
| ~ in(w,x)
| in(ordered_pair(u,w),cartesian_product2(v,x)) ),
file('SEU165+2.p',unknown),
[] ).
cnf(128,axiom,
( ~ in(ordered_pair(skc6,skc7),cartesian_product2(skc8,skc9))
| ~ in(skc6,skc8)
| ~ in(skc7,skc9) ),
file('SEU165+2.p',unknown),
[] ).
cnf(155,plain,
in(skc7,skc9),
inference(mrr,[status(thm)],[76,90]),
[iquote('0:MRR:76.1,90.0')] ).
cnf(156,plain,
in(skc6,skc8),
inference(mrr,[status(thm)],[75,89]),
[iquote('0:MRR:75.1,89.0')] ).
cnf(157,plain,
$false,
inference(mrr,[status(thm)],[128,126,156,155]),
[iquote('0:MRR:128.0,128.1,128.2,126.2,156.0,155.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SEU165+2 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.08 % Command : run_spass %d %s
% 0.07/0.26 % Computer : n032.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Sun Jun 19 21:33:03 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.11/0.50
% 0.11/0.50 SPASS V 3.9
% 0.11/0.50 SPASS beiseite: Proof found.
% 0.11/0.50 % SZS status Theorem
% 0.11/0.50 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.50 SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 110 clauses.
% 0.11/0.50 SPASS allocated 100120 KBytes.
% 0.11/0.50 SPASS spent 0:00:00.23 on the problem.
% 0.11/0.50 0:00:00.03 for the input.
% 0.11/0.50 0:00:00.17 for the FLOTTER CNF translation.
% 0.11/0.50 0:00:00.00 for inferences.
% 0.11/0.50 0:00:00.00 for the backtracking.
% 0.11/0.50 0:00:00.00 for the reduction.
% 0.11/0.50
% 0.11/0.50
% 0.11/0.50 Here is a proof with depth 0, length 9 :
% 0.11/0.50 % SZS output start Refutation
% See solution above
% 0.11/0.50 Formulae used in the proof : t106_zfmisc_1 l55_zfmisc_1
% 0.11/0.50
%------------------------------------------------------------------------------