%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SEU123+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 02:19:16 PM UTC 2026
% Result : Theorem 0.17s 0.51s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 6 unt; 0 def)
% Number of atoms : 34 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 33 ( 14 ~; 9 |; 7 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 15 ( 14 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [A,B] :
( A = B
<=> ( subset(B,A)
& subset(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : subset(empty_set,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,conjecture,
! [A] :
( subset(A,empty_set)
=> A = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
~ ! [A] :
( subset(A,empty_set)
=> A = empty_set ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f16,plain,
! [A,B] :
( ( ~ subset(B,A)
| ~ subset(A,B)
| A = B )
& ( ( subset(B,A)
& subset(A,B) )
| A != B ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f17,plain,
( ! [A,B] :
( ~ subset(B,A)
| ~ subset(A,B)
| A = B )
& ! [A,B] :
( ( subset(B,A)
& subset(A,B) )
| A != B ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f20,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f28,plain,
! [X0] : subset(empty_set,X0),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f29,plain,
? [A] :
( A != empty_set
& subset(A,empty_set) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f30,plain,
( sK2_skl != empty_set
& subset(sK2_skl,empty_set) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(A,sK2_skl)],[f29]) ).
fof(f31,plain,
subset(sK2_skl,empty_set),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
sK2_skl != empty_set,
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f44,plain,
( ~ subset(empty_set,sK2_skl)
| sK2_skl = empty_set ),
inference(resolution,[status(thm)],[f20,f31]) ).
fof(f46,plain,
~ subset(empty_set,sK2_skl),
inference(forward_subsumption_resolution,[status(thm)],[f44,f32]) ).
fof(f48,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f46,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU123+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n013.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 21 05:50:50 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.47 % Drodi V4.1.1
% 0.17/0.51 % Refutation found
% 0.17/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.26/0.58 % Elapsed time: 0.118218 seconds
% 0.26/0.58 % CPU time: 0.096415 seconds
% 0.26/0.58 % Total memory used: 1.379 MB
% 0.26/0.58 % Net memory used: 1.375 MB
%------------------------------------------------------------------------------