TSTP Solution File: SEU250+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU250+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 : Tue Apr 30 20:41:42 EDT 2024
% Result : Theorem 0.16s 0.38s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 5 unt; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 94 ( 35 ~; 36 |; 14 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 59 ( 52 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [A,B,C] :
( relation(C)
=> ( in(A,relation_field(relation_restriction(C,B)))
=> ( in(A,relation_field(C))
& in(A,B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,conjecture,
! [A,B] :
( relation(B)
=> ( subset(relation_field(relation_restriction(B,A)),relation_field(B))
& subset(relation_field(relation_restriction(B,A)),A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> ( subset(relation_field(relation_restriction(B,A)),relation_field(B))
& subset(relation_field(relation_restriction(B,A)),A) ) ),
inference(negated_conjecture,[status(cth)],[f34]) ).
fof(f54,plain,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( ~ in(C,A)
| in(C,B) ) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f55,plain,
! [A,B] :
( ( ~ subset(A,B)
| ! [C] :
( ~ in(C,A)
| in(C,B) ) )
& ( subset(A,B)
| ? [C] :
( in(C,A)
& ~ in(C,B) ) ) ),
inference(NNF_transformation,[status(esa)],[f54]) ).
fof(f56,plain,
( ! [A,B] :
( ~ subset(A,B)
| ! [C] :
( ~ in(C,A)
| in(C,B) ) )
& ! [A,B] :
( subset(A,B)
| ? [C] :
( in(C,A)
& ~ in(C,B) ) ) ),
inference(miniscoping,[status(esa)],[f55]) ).
fof(f57,plain,
( ! [A,B] :
( ~ subset(A,B)
| ! [C] :
( ~ in(C,A)
| in(C,B) ) )
& ! [A,B] :
( subset(A,B)
| ( in(sk0_0(B,A),A)
& ~ in(sk0_0(B,A),B) ) ) ),
inference(skolemization,[status(esa)],[f56]) ).
fof(f59,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sk0_0(X1,X0),X0) ),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f60,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sk0_0(X1,X0),X1) ),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f98,plain,
! [A,B,C] :
( ~ relation(C)
| ~ in(A,relation_field(relation_restriction(C,B)))
| ( in(A,relation_field(C))
& in(A,B) ) ),
inference(pre_NNF_transformation,[status(esa)],[f31]) ).
fof(f99,plain,
! [C] :
( ~ relation(C)
| ! [A,B] :
( ~ in(A,relation_field(relation_restriction(C,B)))
| ( in(A,relation_field(C))
& in(A,B) ) ) ),
inference(miniscoping,[status(esa)],[f98]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ relation(X0)
| ~ in(X1,relation_field(relation_restriction(X0,X2)))
| in(X1,relation_field(X0)) ),
inference(cnf_transformation,[status(esa)],[f99]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ~ relation(X0)
| ~ in(X1,relation_field(relation_restriction(X0,X2)))
| in(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f99]) ).
fof(f105,plain,
? [A,B] :
( relation(B)
& ( ~ subset(relation_field(relation_restriction(B,A)),relation_field(B))
| ~ subset(relation_field(relation_restriction(B,A)),A) ) ),
inference(pre_NNF_transformation,[status(esa)],[f35]) ).
fof(f106,plain,
? [B] :
( relation(B)
& ( ? [A] : ~ subset(relation_field(relation_restriction(B,A)),relation_field(B))
| ? [A] : ~ subset(relation_field(relation_restriction(B,A)),A) ) ),
inference(miniscoping,[status(esa)],[f105]) ).
fof(f107,plain,
( relation(sk0_7)
& ( ~ subset(relation_field(relation_restriction(sk0_7,sk0_8)),relation_field(sk0_7))
| ~ subset(relation_field(relation_restriction(sk0_7,sk0_9)),sk0_9) ) ),
inference(skolemization,[status(esa)],[f106]) ).
fof(f108,plain,
relation(sk0_7),
inference(cnf_transformation,[status(esa)],[f107]) ).
fof(f109,plain,
( ~ subset(relation_field(relation_restriction(sk0_7,sk0_8)),relation_field(sk0_7))
| ~ subset(relation_field(relation_restriction(sk0_7,sk0_9)),sk0_9) ),
inference(cnf_transformation,[status(esa)],[f107]) ).
fof(f131,plain,
( spl0_0
<=> subset(relation_field(relation_restriction(sk0_7,sk0_8)),relation_field(sk0_7)) ),
introduced(split_symbol_definition) ).
fof(f133,plain,
( ~ subset(relation_field(relation_restriction(sk0_7,sk0_8)),relation_field(sk0_7))
| spl0_0 ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f134,plain,
( spl0_1
<=> subset(relation_field(relation_restriction(sk0_7,sk0_9)),sk0_9) ),
introduced(split_symbol_definition) ).
fof(f136,plain,
( ~ subset(relation_field(relation_restriction(sk0_7,sk0_9)),sk0_9)
| spl0_1 ),
inference(component_clause,[status(thm)],[f134]) ).
fof(f137,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f109,f131,f134]) ).
fof(f140,plain,
! [X0,X1] :
( ~ in(X0,relation_field(relation_restriction(sk0_7,X1)))
| in(X0,X1) ),
inference(resolution,[status(thm)],[f101,f108]) ).
fof(f142,plain,
! [X0,X1] :
( ~ in(X0,relation_field(relation_restriction(sk0_7,X1)))
| in(X0,relation_field(sk0_7)) ),
inference(resolution,[status(thm)],[f100,f108]) ).
fof(f437,plain,
! [X0,X1] :
( subset(relation_field(relation_restriction(sk0_7,X0)),X1)
| in(sk0_0(X1,relation_field(relation_restriction(sk0_7,X0))),X0) ),
inference(resolution,[status(thm)],[f59,f140]) ).
fof(f447,plain,
! [X0,X1] :
( subset(X0,relation_field(sk0_7))
| ~ in(sk0_0(relation_field(sk0_7),X0),relation_field(relation_restriction(sk0_7,X1))) ),
inference(resolution,[status(thm)],[f60,f142]) ).
fof(f467,plain,
! [X0] :
( subset(relation_field(relation_restriction(sk0_7,X0)),relation_field(sk0_7))
| subset(relation_field(relation_restriction(sk0_7,X0)),relation_field(sk0_7)) ),
inference(resolution,[status(thm)],[f447,f59]) ).
fof(f468,plain,
! [X0] : subset(relation_field(relation_restriction(sk0_7,X0)),relation_field(sk0_7)),
inference(duplicate_literals_removal,[status(esa)],[f467]) ).
fof(f470,plain,
( $false
| spl0_0 ),
inference(backward_subsumption_resolution,[status(thm)],[f133,f468]) ).
fof(f471,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f470]) ).
fof(f472,plain,
( in(sk0_0(sk0_9,relation_field(relation_restriction(sk0_7,sk0_9))),sk0_9)
| spl0_1 ),
inference(resolution,[status(thm)],[f136,f437]) ).
fof(f473,plain,
( subset(relation_field(relation_restriction(sk0_7,sk0_9)),sk0_9)
| spl0_1 ),
inference(resolution,[status(thm)],[f472,f60]) ).
fof(f474,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f473,f136]) ).
fof(f475,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f474]) ).
fof(f476,plain,
$false,
inference(sat_refutation,[status(thm)],[f137,f471,f475]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU250+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n010.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 19:39:20 EDT 2024
% 0.15/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 0.16/0.38 % Refutation found
% 0.16/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.39 % Elapsed time: 0.077296 seconds
% 0.16/0.39 % CPU time: 0.467754 seconds
% 0.16/0.39 % Total memory used: 71.036 MB
% 0.16/0.39 % Net memory used: 70.368 MB
%------------------------------------------------------------------------------