TSTP Solution File: SEU424+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU424+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 12:37:02 EDT 2023
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 8 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 25 ~; 16 |; 11 &)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-4 aty)
% Number of variables : 28 (; 20 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ~ v1_xboole_0(A)
=> ! [B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m2_relset_1(D,A,B)
=> m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ~ v1_xboole_0(A)
=> ! [B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
=> ! [D] :
( m2_relset_1(D,A,B)
=> m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f35,axiom,
! [A,B,C,D] :
( ( ~ v1_xboole_0(A)
& m1_subset_1(C,k1_zfmisc_1(A))
& m2_relset_1(D,A,B) )
=> m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,plain,
? [A] :
( ~ v1_xboole_0(A)
& ? [B,C] :
( m1_subset_1(C,k1_zfmisc_1(A))
& ? [D] :
( m2_relset_1(D,A,B)
& ~ m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f46,plain,
? [A] :
( ~ v1_xboole_0(A)
& ? [C] :
( m1_subset_1(C,k1_zfmisc_1(A))
& ? [B,D] :
( m2_relset_1(D,A,B)
& ~ m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) ) ),
inference(miniscoping,[status(esa)],[f45]) ).
fof(f47,plain,
( ~ v1_xboole_0(sk0_0)
& m1_subset_1(sk0_1,k1_zfmisc_1(sk0_0))
& m2_relset_1(sk0_3,sk0_0,sk0_2)
& ~ m1_subset_1(a_4_0_relset_2(sk0_0,sk0_2,sk0_1,sk0_3),k1_zfmisc_1(k1_zfmisc_1(sk0_2))) ),
inference(skolemization,[status(esa)],[f46]) ).
fof(f48,plain,
~ v1_xboole_0(sk0_0),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f49,plain,
m1_subset_1(sk0_1,k1_zfmisc_1(sk0_0)),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f50,plain,
m2_relset_1(sk0_3,sk0_0,sk0_2),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f51,plain,
~ m1_subset_1(a_4_0_relset_2(sk0_0,sk0_2,sk0_1,sk0_3),k1_zfmisc_1(k1_zfmisc_1(sk0_2))),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f117,plain,
! [A,B,C,D] :
( v1_xboole_0(A)
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| ~ m2_relset_1(D,A,B)
| m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ),
inference(pre_NNF_transformation,[status(esa)],[f35]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m2_relset_1(X2,X0,X3)
| m1_subset_1(a_4_0_relset_2(X0,X3,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X3))) ),
inference(cnf_transformation,[status(esa)],[f117]) ).
fof(f147,plain,
( spl0_0
<=> v1_xboole_0(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f148,plain,
( v1_xboole_0(sk0_0)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,plain,
( spl0_1
<=> m1_subset_1(sk0_1,k1_zfmisc_1(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f152,plain,
( ~ m1_subset_1(sk0_1,k1_zfmisc_1(sk0_0))
| spl0_1 ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,plain,
( spl0_2
<=> m2_relset_1(sk0_3,sk0_0,sk0_2) ),
introduced(split_symbol_definition) ).
fof(f155,plain,
( ~ m2_relset_1(sk0_3,sk0_0,sk0_2)
| spl0_2 ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,plain,
( v1_xboole_0(sk0_0)
| ~ m1_subset_1(sk0_1,k1_zfmisc_1(sk0_0))
| ~ m2_relset_1(sk0_3,sk0_0,sk0_2) ),
inference(resolution,[status(thm)],[f118,f51]) ).
fof(f157,plain,
( spl0_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f156,f147,f150,f153]) ).
fof(f158,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f155,f50]) ).
fof(f159,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f158]) ).
fof(f160,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f152,f49]) ).
fof(f161,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f160]) ).
fof(f162,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f148,f48]) ).
fof(f163,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f162]) ).
fof(f164,plain,
$false,
inference(sat_refutation,[status(thm)],[f157,f159,f161,f163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU424+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n009.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 : 300
% 0.12/0.33 % DateTime : Tue May 30 09:14:46 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 0.12/0.34 % Refutation found
% 0.12/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.56 % Elapsed time: 0.012941 seconds
% 0.21/0.56 % CPU time: 0.029040 seconds
% 0.21/0.56 % Memory used: 11.823 MB
%------------------------------------------------------------------------------