TSTP Solution File: SWV121+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV121+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 : 300s
% DateTime : Wed May 31 12:40:43 EDT 2023
% Result : Theorem 0.16s 0.57s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 4 unt; 0 def)
% Number of atoms : 52 ( 9 equ)
% Maximal formula atoms : 16 ( 7 avg)
% Number of connectives : 60 ( 15 ~; 12 |; 25 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 18 (; 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f51,axiom,
true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( ( ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,minus(n6,n1))
& leq(B,minus(n6,n1)) )
=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,minus(n3,n1))
& leq(D,minus(n3,n1)) )
=> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) )
& ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,minus(n6,n1))
& leq(F,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) ) )
=> true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,minus(n6,n1))
& leq(B,minus(n6,n1)) )
=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,minus(n3,n1))
& leq(D,minus(n3,n1)) )
=> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) )
& ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,minus(n6,n1))
& leq(F,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) ) )
=> true ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f251,plain,
true,
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f253,plain,
( ! [A,B] :
( ~ leq(n0,A)
| ~ leq(n0,B)
| ~ leq(A,minus(n6,n1))
| ~ leq(B,minus(n6,n1))
| a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& ! [C,D] :
( ~ leq(n0,C)
| ~ leq(n0,D)
| ~ leq(C,minus(n3,n1))
| ~ leq(D,minus(n3,n1))
| a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) )
& ! [E,F] :
( ~ leq(n0,E)
| ~ leq(n0,F)
| ~ leq(E,minus(n6,n1))
| ~ leq(F,minus(n6,n1))
| a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) )
& ~ true ),
inference(pre_NNF_transformation,[status(esa)],[f54]) ).
fof(f257,plain,
~ true,
inference(cnf_transformation,[status(esa)],[f253]) ).
fof(f335,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f251,f257]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV121+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.31 % Computer : n003.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue May 30 11:37:23 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 0.16/0.57 % Refutation found
% 0.16/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.57 % Elapsed time: 0.042492 seconds
% 0.16/0.57 % CPU time: 0.018665 seconds
% 0.16/0.57 % Memory used: 3.980 MB
%------------------------------------------------------------------------------