%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET027-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 02:08:58 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.57s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 14 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f67,axiom,
! [X,Y,U] :
( member(U,Y)
| ~ member(U,X)
| ~ subset(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,axiom,
! [X,Y] :
( member(f17(X,Y),X)
| subset(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f69,axiom,
! [X,Y] :
( ~ member(f17(X,Y),Y)
| subset(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f153,hypothesis,
subset(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f154,hypothesis,
subset(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f155,negated_conjecture,
~ subset(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f240,plain,
! [Y,U] :
( member(U,Y)
| ! [X] :
( ~ member(U,X)
| ~ subset(X,Y) ) ),
inference(miniscoping,[status(thm)],[f67]) ).
fof(f241,plain,
! [X0,X1,X2] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f240]) ).
fof(f242,plain,
! [X0,X1] :
( member(f17(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f243,plain,
! [X0,X1] :
( ~ member(f17(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f347,plain,
subset(a,b),
inference(cnf_transformation,[status(thm)],[f153]) ).
fof(f348,plain,
subset(b,c),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f349,plain,
~ subset(a,c),
inference(cnf_transformation,[status(thm)],[f155]) ).
fof(f364,plain,
! [X0] :
( member(X0,c)
| ~ member(X0,b) ),
inference(resolution,[status(thm)],[f241,f348]) ).
fof(f365,plain,
! [X0] :
( member(X0,b)
| ~ member(X0,a) ),
inference(resolution,[status(thm)],[f241,f347]) ).
fof(f740,plain,
! [X0] :
( ~ member(f17(X0,c),b)
| subset(X0,c) ),
inference(resolution,[status(thm)],[f243,f364]) ).
fof(f816,plain,
! [X0] :
( ~ member(f17(X0,c),a)
| subset(X0,c) ),
inference(resolution,[status(thm)],[f740,f365]) ).
fof(f915,plain,
( subset(a,c)
| subset(a,c) ),
inference(resolution,[status(thm)],[f816,f242]) ).
fof(f916,plain,
subset(a,c),
inference(duplicate_literals_removal,[status(thm)],[f915]) ).
fof(f917,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f916,f349]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET027-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.53 % Computer : n020.cluster.edu
% 0.09/0.53 % Model : x86_64 x86_64
% 0.09/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.53 % Memory : 8046.5625MB
% 0.09/0.53 % OS : Linux 6.8.0-71-generic
% 0.09/0.53 % CPULimit : 300
% 0.09/0.53 % WCLimit : 300
% 0.09/0.53 % DateTime : Mon Sep 21 04:45:48 UTC 2026
% 0.09/0.53 % CPUTime :
% 0.09/0.54 % Drodi V4.1.1
% 0.09/0.57 % Refutation found
% 0.09/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.59 % Elapsed time: 0.055483 seconds
% 0.13/0.59 % CPU time: 0.164037 seconds
% 0.13/0.59 % Total memory used: 74.736 MB
% 0.13/0.59 % Net memory used: 74.537 MB
%------------------------------------------------------------------------------