%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET019-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 02:08:54 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 8 unt; 2 def)
% Number of atoms : 53 ( 12 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 46 ( 19 ~; 25 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X,Y] :
( X = Y
| member(f1(X,Y),Y)
| member(f1(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] :
( X = Y
| ~ member(f1(X,Y),Y)
| ~ member(f1(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [X,Y,U] :
( member(U,Y)
| ~ member(U,X)
| ~ subset(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f142,hypothesis,
subset(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f143,hypothesis,
subset(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f144,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f148,plain,
! [X0,X1] :
( X0 = X1
| member(f1(X0,X1),X1)
| member(f1(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f149,plain,
! [X0,X1] :
( X0 = X1
| ~ member(f1(X0,X1),X1)
| ~ member(f1(X0,X1),X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f229,plain,
! [Y,U] :
( member(U,Y)
| ! [X] :
( ~ member(U,X)
| ~ subset(X,Y) ) ),
inference(miniscoping,[status(thm)],[f67]) ).
fof(f230,plain,
! [X0,X1,X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f229]) ).
fof(f322,plain,
subset(b,a),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f323,plain,
subset(a,b),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f324,plain,
a != b,
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f878,plain,
! [X0] :
( member(X0,b)
| ~ member(X0,a) ),
inference(resolution,[status(thm)],[f230,f323]) ).
fof(f879,plain,
! [X0] :
( member(X0,a)
| ~ member(X0,b) ),
inference(resolution,[status(thm)],[f230,f322]) ).
fof(f881,plain,
! [X0] :
( X0 = a
| member(f1(X0,a),X0)
| member(f1(X0,a),b) ),
inference(resolution,[status(thm)],[f878,f148]) ).
fof(f904,plain,
( b = a
| ~ member(f1(b,a),a)
| b = a ),
inference(resolution,[status(thm)],[f881,f149]) ).
fof(f906,plain,
( member(f1(b,a),a)
| b = a ),
inference(resolution,[status(thm)],[f881,f879]) ).
fof(f961,definition,
( sQ27_spl
<=> b = a ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f962,plain,
( ~ sQ27_spl
| b = a ),
inference(component_clause,[status(thm)],[f961]) ).
fof(f964,definition,
( sQ28_spl
<=> member(f1(b,a),a) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f967,plain,
( ~ sQ28_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f904,f961,f964]) ).
fof(f972,plain,
( sQ28_spl
| sQ27_spl ),
inference(split_clause,[status(thm)],[f906,f961,f964]) ).
fof(f1039,plain,
( ~ sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f962,f324]) ).
fof(f1040,plain,
~ sQ27_spl,
inference(contradiction_clause,[status(thm)],[f1039]) ).
fof(f1041,plain,
$false,
inference(sat_refutation,[status(thm)],[f967,f972,f1040]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET019-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n003.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 04:44:45 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.067641 seconds
% 0.13/0.43 % CPU time: 0.345650 seconds
% 0.13/0.43 % Total memory used: 77.157 MB
% 0.13/0.43 % Net memory used: 76.595 MB
%------------------------------------------------------------------------------