%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU250+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:19:54 PM UTC 2026
% Result : Theorem 0.09s 0.59s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 29 ( 4 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 94 ( 38 ~; 35 |; 14 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 63 ( 56 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [A,B,C] :
( relation(C)
=> ( in(A,relation_field(relation_restriction(C,B)))
=> ( in(A,B)
& in(A,relation_field(C)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,conjecture,
! [A,B] :
( relation(B)
=> ( subset(relation_field(relation_restriction(B,A)),A)
& subset(relation_field(relation_restriction(B,A)),relation_field(B)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> ( subset(relation_field(relation_restriction(B,A)),A)
& subset(relation_field(relation_restriction(B,A)),relation_field(B)) ) ),
inference(negated_conjecture,[status(cth)],[f34]) ).
fof(f54,plain,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,B)
| ~ in(C,A) ) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f55,plain,
! [A,B] :
( ( ? [C] :
( ~ in(C,B)
& in(C,A) )
| subset(A,B) )
& ( ! [C] :
( in(C,B)
| ~ in(C,A) )
| ~ subset(A,B) ) ),
inference(NNF_transformation,[status(thm)],[f54]) ).
fof(f56,plain,
( ! [A,B] :
( ? [C] :
( ~ in(C,B)
& in(C,A) )
| subset(A,B) )
& ! [A,B] :
( ! [C] :
( in(C,B)
| ~ in(C,A) )
| ~ subset(A,B) ) ),
inference(miniscoping,[status(thm)],[f55]) ).
fof(f57,plain,
( ! [A,B] :
( ( ~ in(sK0_skl(B,A),B)
& in(sK0_skl(B,A),A) )
| subset(A,B) )
& ! [A,B] :
( ! [C] :
( in(C,B)
| ~ in(C,A) )
| ~ subset(A,B) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(C,sK0_skl(B,A))],[f56]) ).
fof(f59,plain,
! [X0,X1] :
( in(sK0_skl(X1,X0),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f60,plain,
! [X0,X1] :
( ~ in(sK0_skl(X1,X0),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f98,plain,
! [A,B,C] :
( ( in(A,B)
& in(A,relation_field(C)) )
| ~ in(A,relation_field(relation_restriction(C,B)))
| ~ relation(C) ),
inference(pre_NNF_transformation,[status(thm)],[f31]) ).
fof(f99,plain,
! [C] :
( ! [A,B] :
( ( in(A,B)
& in(A,relation_field(C)) )
| ~ in(A,relation_field(relation_restriction(C,B))) )
| ~ relation(C) ),
inference(miniscoping,[status(thm)],[f98]) ).
fof(f100,plain,
! [X0,X1,X2] :
( in(X1,relation_field(X0))
| ~ in(X1,relation_field(relation_restriction(X0,X2)))
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f101,plain,
! [X0,X1,X2] :
( in(X1,X2)
| ~ in(X1,relation_field(relation_restriction(X0,X2)))
| ~ relation(X0) ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f105,plain,
? [A,B] :
( ( ~ subset(relation_field(relation_restriction(B,A)),A)
| ~ subset(relation_field(relation_restriction(B,A)),relation_field(B)) )
& relation(B) ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f106,plain,
? [B] :
( ( ? [A] : ~ subset(relation_field(relation_restriction(B,A)),A)
| ? [A] : ~ subset(relation_field(relation_restriction(B,A)),relation_field(B)) )
& relation(B) ),
inference(miniscoping,[status(thm)],[f105]) ).
fof(f107,plain,
( ( ~ subset(relation_field(relation_restriction(sK7_skl,sK9_skl)),sK9_skl)
| ~ subset(relation_field(relation_restriction(sK7_skl,sK8_skl)),relation_field(sK7_skl)) )
& relation(sK7_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl,sK8_skl,sK9_skl]),skolemize(B,sK7_skl),skolemize(A,sK8_skl),skolemize(A,sK9_skl)],[f106]) ).
fof(f108,plain,
relation(sK7_skl),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f109,plain,
( ~ subset(relation_field(relation_restriction(sK7_skl,sK9_skl)),sK9_skl)
| ~ subset(relation_field(relation_restriction(sK7_skl,sK8_skl)),relation_field(sK7_skl)) ),
inference(cnf_transformation,[status(thm)],[f107]) ).
fof(f147,plain,
! [X0,X1,X2] :
( in(sK0_skl(X2,relation_field(relation_restriction(X0,X1))),relation_field(X0))
| ~ relation(X0)
| subset(relation_field(relation_restriction(X0,X1)),X2) ),
inference(resolution,[status(thm)],[f59,f100]) ).
fof(f148,plain,
! [X0,X1,X2] :
( in(sK0_skl(X2,relation_field(relation_restriction(X0,X1))),X1)
| ~ relation(X0)
| subset(relation_field(relation_restriction(X0,X1)),X2) ),
inference(resolution,[status(thm)],[f59,f101]) ).
fof(f187,plain,
! [X0,X1] :
( ~ relation(X0)
| subset(relation_field(relation_restriction(X0,X1)),relation_field(X0))
| subset(relation_field(relation_restriction(X0,X1)),relation_field(X0)) ),
inference(resolution,[status(thm)],[f60,f147]) ).
fof(f188,plain,
! [X0,X1] :
( ~ relation(X0)
| subset(relation_field(relation_restriction(X0,X1)),X1)
| subset(relation_field(relation_restriction(X0,X1)),X1) ),
inference(resolution,[status(thm)],[f60,f148]) ).
fof(f193,plain,
! [X0,X1] :
( ~ relation(X0)
| subset(relation_field(relation_restriction(X0,X1)),relation_field(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f187]) ).
fof(f194,plain,
! [X0,X1] :
( ~ relation(X0)
| subset(relation_field(relation_restriction(X0,X1)),X1) ),
inference(duplicate_literals_removal,[status(thm)],[f188]) ).
fof(f200,plain,
( ~ subset(relation_field(relation_restriction(sK7_skl,sK9_skl)),sK9_skl)
| ~ relation(sK7_skl) ),
inference(resolution,[status(thm)],[f193,f109]) ).
fof(f202,plain,
~ subset(relation_field(relation_restriction(sK7_skl,sK9_skl)),sK9_skl),
inference(forward_subsumption_resolution,[status(thm)],[f200,f108]) ).
fof(f203,plain,
~ relation(sK7_skl),
inference(resolution,[status(thm)],[f202,f194]) ).
fof(f204,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f203,f108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU250+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.56 % Computer : n008.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Mon Sep 21 06:04:10 UTC 2026
% 0.09/0.56 % CPUTime :
% 0.09/0.57 % Drodi V4.1.1
% 0.09/0.59 % Refutation found
% 0.09/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.61 % Elapsed time: 0.046227 seconds
% 0.09/0.61 % CPU time: 0.134919 seconds
% 0.09/0.61 % Total memory used: 70.952 MB
% 0.09/0.61 % Net memory used: 70.875 MB
%------------------------------------------------------------------------------