%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET077+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 02:09:13 PM UTC 2026
% Result : Theorem 0.23s 0.70s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 11 unt; 0 def)
% Number of atoms : 11 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 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/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] : singleton(X) = unordered_pair(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,conjecture,
! [X] : member(singleton(X),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
~ ! [X] : member(singleton(X),universal_class),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f65,plain,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f66,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f191,plain,
? [X] : ~ member(singleton(X),universal_class),
inference(pre_NNF_transformation,[status(thm)],[f45]) ).
fof(f192,plain,
~ member(singleton(sK7_skl),universal_class),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(X,sK7_skl)],[f191]) ).
fof(f193,plain,
~ member(singleton(sK7_skl),universal_class),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f202,plain,
! [X0] : member(singleton(X0),universal_class),
inference(paramodulation,[status(thm)],[f66,f65]) ).
fof(f204,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f193,f202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET077+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.65 % Computer : n006.cluster.edu
% 0.16/0.65 % Model : x86_64 x86_64
% 0.16/0.65 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.65 % Memory : 8046.5625MB
% 0.16/0.65 % OS : Linux 6.8.0-71-generic
% 0.16/0.65 % CPULimit : 300
% 0.22/0.65 % WCLimit : 300
% 0.22/0.65 % DateTime : Mon Sep 21 04:49:57 UTC 2026
% 0.22/0.66 % CPUTime :
% 0.22/0.67 % Drodi V4.1.1
% 0.23/0.70 % Refutation found
% 0.23/0.70 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.23/0.70 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.78 % Elapsed time: 0.115943 seconds
% 0.23/0.78 % CPU time: 0.106370 seconds
% 0.23/0.78 % Total memory used: 3.277 MB
% 0.23/0.78 % Net memory used: 3.276 MB
%------------------------------------------------------------------------------