%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET085-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 02:09:16 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.59s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 14 unt; 3 def)
% Number of atoms : 58 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 21 ~; 22 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [U,X,Y] :
( U = Y
| U = X
| ~ member(U,unordered_pair(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y] :
( member(X,unordered_pair(X,Y))
| ~ member(X,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,negated_conjecture,
unordered_pair(y,z) = singleton(x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f93,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f94,negated_conjecture,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,negated_conjecture,
x != z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f104,plain,
! [U,Y] :
( U = Y
| ! [X] :
( U = X
| ~ member(U,unordered_pair(X,Y)) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f105,plain,
! [X0,X1,X2] :
( X0 = X2
| X0 = X1
| ~ member(X0,unordered_pair(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f106,plain,
! [X] :
( ! [Y] : member(X,unordered_pair(X,Y))
| ~ member(X,universal_class) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f107,plain,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f111,plain,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f201,plain,
unordered_pair(y,z) = singleton(x),
inference(cnf_transformation,[status(thm)],[f92]) ).
fof(f202,plain,
member(x,universal_class),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f203,plain,
x != y,
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f204,plain,
x != z,
inference(cnf_transformation,[status(thm)],[f95]) ).
fof(f208,plain,
! [X0] :
( X0 = z
| X0 = y
| ~ member(X0,singleton(x)) ),
inference(paramodulation,[status(thm)],[f201,f105]) ).
fof(f215,plain,
! [X0] :
( member(X0,singleton(X0))
| ~ member(X0,universal_class) ),
inference(paramodulation,[status(thm)],[f111,f107]) ).
fof(f234,plain,
( ~ member(x,universal_class)
| x = z
| x = y ),
inference(resolution,[status(thm)],[f208,f215]) ).
fof(f235,definition,
( sQ4_spl
<=> x = y ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( ~ sQ4_spl
| x = y ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,definition,
( sQ5_spl
<=> x = z ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ5_spl
| x = z ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,definition,
( sQ6_spl
<=> member(x,universal_class) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f243,plain,
( sQ6_spl
| ~ member(x,universal_class) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,plain,
( ~ sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f234,f235,f238,f241]) ).
fof(f245,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f243,f202]) ).
fof(f246,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f245]) ).
fof(f247,plain,
( ~ sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f236,f203]) ).
fof(f248,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f247]) ).
fof(f249,plain,
( ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f239,f204]) ).
fof(f250,plain,
~ sQ5_spl,
inference(contradiction_clause,[status(thm)],[f249]) ).
fof(f251,plain,
$false,
inference(sat_refutation,[status(thm)],[f244,f246,f248,f250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET085-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.55 % Computer : n013.cluster.edu
% 0.10/0.55 % Model : x86_64 x86_64
% 0.10/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.55 % Memory : 8046.5625MB
% 0.10/0.55 % OS : Linux 6.8.0-71-generic
% 0.10/0.55 % CPULimit : 300
% 0.10/0.55 % WCLimit : 300
% 0.10/0.55 % DateTime : Mon Sep 21 04:50:22 UTC 2026
% 0.10/0.55 % CPUTime :
% 0.15/0.56 % Drodi V4.1.1
% 0.15/0.59 % Refutation found
% 0.15/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.62 % Elapsed time: 0.060310 seconds
% 0.15/0.62 % CPU time: 0.169226 seconds
% 0.15/0.62 % Total memory used: 104.686 MB
% 0.15/0.62 % Net memory used: 104.618 MB
%------------------------------------------------------------------------------