TSTP Solution File: SWV225+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV225+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 12:40:57 EDT 2023
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 345 ( 281 equ)
% Maximal formula atoms : 79 ( 15 avg)
% Number of connectives : 531 ( 208 ~; 85 |; 226 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-3 aty)
% Number of variables : 22 (; 20 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,n2) )
=> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) )
=> ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
=> ( ( ~ ( n0 = E
& n2 = F )
& ~ ( n0 = E
& n3 = F )
& ~ ( n0 = E
& n4 = F )
& ~ ( n0 = E
& n5 = F )
& ~ ( n0 = F
& n4 = E )
& ~ ( n0 = F
& n5 = E )
& ~ ( n1 = E
& n2 = F )
& ~ ( n1 = E
& n3 = F )
& ~ ( n1 = E
& n4 = F )
& ~ ( n1 = E
& n5 = F )
& ~ ( n1 = F
& n2 = E )
& ~ ( n1 = F
& n3 = E )
& ~ ( n1 = F
& n4 = E )
& ~ ( n1 = F
& n5 = E )
& ~ ( n2 = E
& n2 = F )
& ~ ( n2 = E
& n3 = F )
& ~ ( n2 = E
& n4 = F )
& ~ ( n2 = E
& n5 = F )
& ~ ( n2 = F
& n3 = E )
& ~ ( n2 = F
& n4 = E )
& ~ ( n2 = F
& n5 = E )
& ~ ( n3 = E
& n3 = F )
& ~ ( n3 = E
& n4 = F )
& ~ ( n3 = E
& n5 = F )
& ~ ( n3 = F
& n4 = E )
& ~ ( n3 = F
& n5 = E )
& ~ ( n4 = E
& n4 = F )
& ~ ( n4 = E
& n5 = F )
& ~ ( n4 = F
& n5 = E )
& ~ ( n5 = E
& n5 = F )
& n1 = E
& n1 = F
& n2 = F
& n3 = E )
=> n0 = a_select2(xinit_noise,n1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n5)
& leq(B,n5) )
=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,n2) )
=> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ) )
=> ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5) )
=> ( ( ~ ( n0 = E
& n2 = F )
& ~ ( n0 = E
& n3 = F )
& ~ ( n0 = E
& n4 = F )
& ~ ( n0 = E
& n5 = F )
& ~ ( n0 = F
& n4 = E )
& ~ ( n0 = F
& n5 = E )
& ~ ( n1 = E
& n2 = F )
& ~ ( n1 = E
& n3 = F )
& ~ ( n1 = E
& n4 = F )
& ~ ( n1 = E
& n5 = F )
& ~ ( n1 = F
& n2 = E )
& ~ ( n1 = F
& n3 = E )
& ~ ( n1 = F
& n4 = E )
& ~ ( n1 = F
& n5 = E )
& ~ ( n2 = E
& n2 = F )
& ~ ( n2 = E
& n3 = F )
& ~ ( n2 = E
& n4 = F )
& ~ ( n2 = E
& n5 = F )
& ~ ( n2 = F
& n3 = E )
& ~ ( n2 = F
& n4 = E )
& ~ ( n2 = F
& n5 = E )
& ~ ( n3 = E
& n3 = F )
& ~ ( n3 = E
& n4 = F )
& ~ ( n3 = E
& n5 = F )
& ~ ( n3 = F
& n4 = E )
& ~ ( n3 = F
& n5 = E )
& ~ ( n4 = E
& n4 = F )
& ~ ( n4 = E
& n5 = F )
& ~ ( n4 = F
& n5 = E )
& ~ ( n5 = E
& n5 = F )
& n1 = E
& n1 = F
& n2 = F
& n3 = E )
=> n0 = a_select2(xinit_noise,n1) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f244,plain,
( ! [A,B] :
( ~ leq(n0,A)
| ~ leq(n0,B)
| ~ leq(A,n5)
| ~ leq(B,n5)
| a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& ! [C,D] :
( ~ leq(n0,C)
| ~ leq(n0,D)
| ~ leq(C,n2)
| ~ leq(D,n2)
| a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) )
& ? [E,F] :
( leq(n0,E)
& leq(n0,F)
& leq(E,n5)
& leq(F,n5)
& ( n0 != E
| n2 != F )
& ( n0 != E
| n3 != F )
& ( n0 != E
| n4 != F )
& ( n0 != E
| n5 != F )
& ( n0 != F
| n4 != E )
& ( n0 != F
| n5 != E )
& ( n1 != E
| n2 != F )
& ( n1 != E
| n3 != F )
& ( n1 != E
| n4 != F )
& ( n1 != E
| n5 != F )
& ( n1 != F
| n2 != E )
& ( n1 != F
| n3 != E )
& ( n1 != F
| n4 != E )
& ( n1 != F
| n5 != E )
& ( n2 != E
| n2 != F )
& ( n2 != E
| n3 != F )
& ( n2 != E
| n4 != F )
& ( n2 != E
| n5 != F )
& ( n2 != F
| n3 != E )
& ( n2 != F
| n4 != E )
& ( n2 != F
| n5 != E )
& ( n3 != E
| n3 != F )
& ( n3 != E
| n4 != F )
& ( n3 != E
| n5 != F )
& ( n3 != F
| n4 != E )
& ( n3 != F
| n5 != E )
& ( n4 != E
| n4 != F )
& ( n4 != E
| n5 != F )
& ( n4 != F
| n5 != E )
& ( n5 != E
| n5 != F )
& n1 = E
& n1 = F
& n2 = F
& n3 = E
& n0 != a_select2(xinit_noise,n1) ) ),
inference(pre_NNF_transformation,[status(esa)],[f54]) ).
fof(f245,plain,
( ! [A,B] :
( ~ leq(n0,A)
| ~ leq(n0,B)
| ~ leq(A,n5)
| ~ leq(B,n5)
| a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& ! [C,D] :
( ~ leq(n0,C)
| ~ leq(n0,D)
| ~ leq(C,n2)
| ~ leq(D,n2)
| a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) )
& leq(n0,sk0_23)
& leq(n0,sk0_24)
& leq(sk0_23,n5)
& leq(sk0_24,n5)
& ( n0 != sk0_23
| n2 != sk0_24 )
& ( n0 != sk0_23
| n3 != sk0_24 )
& ( n0 != sk0_23
| n4 != sk0_24 )
& ( n0 != sk0_23
| n5 != sk0_24 )
& ( n0 != sk0_24
| n4 != sk0_23 )
& ( n0 != sk0_24
| n5 != sk0_23 )
& ( n1 != sk0_23
| n2 != sk0_24 )
& ( n1 != sk0_23
| n3 != sk0_24 )
& ( n1 != sk0_23
| n4 != sk0_24 )
& ( n1 != sk0_23
| n5 != sk0_24 )
& ( n1 != sk0_24
| n2 != sk0_23 )
& ( n1 != sk0_24
| n3 != sk0_23 )
& ( n1 != sk0_24
| n4 != sk0_23 )
& ( n1 != sk0_24
| n5 != sk0_23 )
& ( n2 != sk0_23
| n2 != sk0_24 )
& ( n2 != sk0_23
| n3 != sk0_24 )
& ( n2 != sk0_23
| n4 != sk0_24 )
& ( n2 != sk0_23
| n5 != sk0_24 )
& ( n2 != sk0_24
| n3 != sk0_23 )
& ( n2 != sk0_24
| n4 != sk0_23 )
& ( n2 != sk0_24
| n5 != sk0_23 )
& ( n3 != sk0_23
| n3 != sk0_24 )
& ( n3 != sk0_23
| n4 != sk0_24 )
& ( n3 != sk0_23
| n5 != sk0_24 )
& ( n3 != sk0_24
| n4 != sk0_23 )
& ( n3 != sk0_24
| n5 != sk0_23 )
& ( n4 != sk0_23
| n4 != sk0_24 )
& ( n4 != sk0_23
| n5 != sk0_24 )
& ( n4 != sk0_24
| n5 != sk0_23 )
& ( n5 != sk0_23
| n5 != sk0_24 )
& n1 = sk0_23
& n1 = sk0_24
& n2 = sk0_24
& n3 = sk0_23
& n0 != a_select2(xinit_noise,n1) ),
inference(skolemization,[status(esa)],[f244]) ).
fof(f258,plain,
( n1 != sk0_23
| n2 != sk0_24 ),
inference(cnf_transformation,[status(esa)],[f245]) ).
fof(f282,plain,
n1 = sk0_23,
inference(cnf_transformation,[status(esa)],[f245]) ).
fof(f283,plain,
n1 = sk0_24,
inference(cnf_transformation,[status(esa)],[f245]) ).
fof(f284,plain,
n2 = sk0_24,
inference(cnf_transformation,[status(esa)],[f245]) ).
fof(f355,plain,
( spl0_1
<=> n2 = sk0_24 ),
introduced(split_symbol_definition) ).
fof(f357,plain,
( n2 != sk0_24
| spl0_1 ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f382,plain,
( spl0_8
<=> n1 = sk0_23 ),
introduced(split_symbol_definition) ).
fof(f384,plain,
( n1 != sk0_23
| spl0_8 ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,plain,
( ~ spl0_8
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f258,f382,f355]) ).
fof(f420,plain,
n2 = n1,
inference(forward_demodulation,[status(thm)],[f283,f284]) ).
fof(f449,plain,
( n1 != n1
| spl0_8 ),
inference(forward_demodulation,[status(thm)],[f282,f384]) ).
fof(f450,plain,
( $false
| spl0_8 ),
inference(trivial_equality_resolution,[status(esa)],[f449]) ).
fof(f451,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f450]) ).
fof(f456,plain,
( n1 != sk0_24
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f420,f357]) ).
fof(f457,plain,
( n1 != n1
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f283,f456]) ).
fof(f458,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f457]) ).
fof(f459,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f458]) ).
fof(f460,plain,
$false,
inference(sat_refutation,[status(thm)],[f385,f451,f459]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV225+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n027.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 : 300
% 0.13/0.34 % DateTime : Tue May 30 11:58:03 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.38 % Elapsed time: 0.029763 seconds
% 0.19/0.38 % CPU time: 0.046696 seconds
% 0.19/0.38 % Memory used: 16.091 MB
%------------------------------------------------------------------------------