%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET093+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 02:09:18 PM UTC 2026
% Result : Theorem 0.17s 0.46s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 17 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 9 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X,Y] : member(unordered_pair(X,Y),universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] : singleton(X) = unordered_pair(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,conjecture,
! [X] :
( singleton(member_of(X)) = X
=> member(X,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
~ ! [X] :
( singleton(member_of(X)) = X
=> member(X,universal_class) ),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f69,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f70,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f201,plain,
? [X] :
( ~ member(X,universal_class)
& singleton(member_of(X)) = X ),
inference(pre_NNF_transformation,[status(thm)],[f49]) ).
fof(f202,plain,
( ~ member(sK7_skl,universal_class)
& singleton(member_of(sK7_skl)) = sK7_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(X,sK7_skl)],[f201]) ).
fof(f203,plain,
singleton(member_of(sK7_skl)) = sK7_skl,
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f204,plain,
~ member(sK7_skl,universal_class),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f267,plain,
! [X0] : member(singleton(X0),universal_class),
inference(paramodulation,[status(thm)],[f70,f69]) ).
fof(f279,plain,
member(sK7_skl,universal_class),
inference(paramodulation,[status(thm)],[f203,f267]) ).
fof(f284,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f279,f204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET093+1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n010.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Mon Sep 21 04:51:56 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.17/0.46 % Refutation found
% 0.17/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.52 % Elapsed time: 0.085240 seconds
% 0.17/0.52 % CPU time: 0.099786 seconds
% 0.17/0.52 % Total memory used: 3.316 MB
% 0.17/0.52 % Net memory used: 3.315 MB
%------------------------------------------------------------------------------