TSTP Solution File: SEU424+4 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU424+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 12:37:03 EDT 2023
% Result : Theorem 64.09s 14.16s
% Output : CNFRefutation 73.73s
% 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(f71064,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/sandbox/benchmark/theBenchmark.p') ).
fof(f71100,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/sandbox/benchmark/theBenchmark.p') ).
fof(f71101,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)],[f71100]) ).
fof(f335884,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)],[f71064]) ).
fof(f335885,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)],[f335884]) ).
fof(f335974,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)],[f71101]) ).
fof(f335975,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)],[f335974]) ).
fof(f335976,plain,
( ~ v1_xboole_0(sk0_23835)
& m1_subset_1(sk0_23836,k1_zfmisc_1(sk0_23835))
& m2_relset_1(sk0_23838,sk0_23835,sk0_23837)
& ~ m1_subset_1(a_4_0_relset_2(sk0_23835,sk0_23837,sk0_23836,sk0_23838),k1_zfmisc_1(k1_zfmisc_1(sk0_23837))) ),
inference(skolemization,[status(esa)],[f335975]) ).
fof(f335977,plain,
~ v1_xboole_0(sk0_23835),
inference(cnf_transformation,[status(esa)],[f335976]) ).
fof(f335978,plain,
m1_subset_1(sk0_23836,k1_zfmisc_1(sk0_23835)),
inference(cnf_transformation,[status(esa)],[f335976]) ).
fof(f335979,plain,
m2_relset_1(sk0_23838,sk0_23835,sk0_23837),
inference(cnf_transformation,[status(esa)],[f335976]) ).
fof(f335980,plain,
~ m1_subset_1(a_4_0_relset_2(sk0_23835,sk0_23837,sk0_23836,sk0_23838),k1_zfmisc_1(k1_zfmisc_1(sk0_23837))),
inference(cnf_transformation,[status(esa)],[f335976]) ).
fof(f402739,plain,
( spl0_6189
<=> v1_xboole_0(sk0_23835) ),
introduced(split_symbol_definition) ).
fof(f402740,plain,
( v1_xboole_0(sk0_23835)
| ~ spl0_6189 ),
inference(component_clause,[status(thm)],[f402739]) ).
fof(f402757,plain,
( spl0_6190
<=> m1_subset_1(sk0_23836,k1_zfmisc_1(sk0_23835)) ),
introduced(split_symbol_definition) ).
fof(f402759,plain,
( ~ m1_subset_1(sk0_23836,k1_zfmisc_1(sk0_23835))
| spl0_6190 ),
inference(component_clause,[status(thm)],[f402757]) ).
fof(f402760,plain,
( spl0_6191
<=> m2_relset_1(sk0_23838,sk0_23835,sk0_23837) ),
introduced(split_symbol_definition) ).
fof(f402762,plain,
( ~ m2_relset_1(sk0_23838,sk0_23835,sk0_23837)
| spl0_6191 ),
inference(component_clause,[status(thm)],[f402760]) ).
fof(f402763,plain,
( v1_xboole_0(sk0_23835)
| ~ m1_subset_1(sk0_23836,k1_zfmisc_1(sk0_23835))
| ~ m2_relset_1(sk0_23838,sk0_23835,sk0_23837) ),
inference(resolution,[status(thm)],[f335885,f335980]) ).
fof(f402764,plain,
( spl0_6189
| ~ spl0_6190
| ~ spl0_6191 ),
inference(split_clause,[status(thm)],[f402763,f402739,f402757,f402760]) ).
fof(f402768,plain,
( $false
| spl0_6190 ),
inference(forward_subsumption_resolution,[status(thm)],[f402759,f335978]) ).
fof(f402769,plain,
spl0_6190,
inference(contradiction_clause,[status(thm)],[f402768]) ).
fof(f402770,plain,
( $false
| spl0_6191 ),
inference(forward_subsumption_resolution,[status(thm)],[f402762,f335979]) ).
fof(f402771,plain,
spl0_6191,
inference(contradiction_clause,[status(thm)],[f402770]) ).
fof(f402772,plain,
( $false
| ~ spl0_6189 ),
inference(forward_subsumption_resolution,[status(thm)],[f402740,f335977]) ).
fof(f402773,plain,
~ spl0_6189,
inference(contradiction_clause,[status(thm)],[f402772]) ).
fof(f402774,plain,
$false,
inference(sat_refutation,[status(thm)],[f402764,f402769,f402771,f402773]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU424+4 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n004.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 09:10:18 EDT 2023
% 0.12/0.34 % CPUTime :
% 6.64/6.83 % Drodi V3.5.1
% 64.09/14.16 % Refutation found
% 64.09/14.16 % SZS status Theorem for theBenchmark: Theorem is valid
% 64.09/14.16 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 76.46/15.75 % Elapsed time: 15.217558 seconds
% 76.46/15.75 % CPU time: 67.627921 seconds
% 76.46/15.75 % Memory used: 20.781 GB
%------------------------------------------------------------------------------