%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SET027-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 02:08:58 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.61s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 9 unt; 1 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 19 ~; 19 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 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(f142,hypothesis,
subset(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f143,hypothesis,
subset(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f144,negated_conjecture,
~ subset(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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(f231,plain,
! [X0,X1] :
( member(f17(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f232,plain,
! [X0,X1] :
( ~ member(f17(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f322,plain,
subset(a,b),
inference(cnf_transformation,[status(thm)],[f142]) ).
fof(f323,plain,
subset(b,c),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f324,plain,
~ subset(a,c),
inference(cnf_transformation,[status(thm)],[f144]) ).
fof(f488,plain,
! [X0,X1,X2] :
( ~ member(f17(X0,X1),X2)
| ~ subset(X2,X1)
| subset(X0,X1) ),
inference(resolution,[status(thm)],[f232,f230]) ).
fof(f491,plain,
! [X0] :
( ~ member(f17(X0,c),b)
| subset(X0,c) ),
inference(resolution,[status(thm)],[f488,f323]) ).
fof(f494,plain,
! [X0,X1] :
( ~ member(f17(X0,c),X1)
| ~ subset(X1,b)
| subset(X0,c) ),
inference(resolution,[status(thm)],[f491,f230]) ).
fof(f506,plain,
! [X0] :
( ~ member(f17(X0,c),a)
| subset(X0,c) ),
inference(resolution,[status(thm)],[f494,f322]) ).
fof(f640,plain,
( subset(a,c)
| subset(a,c) ),
inference(resolution,[status(thm)],[f506,f231]) ).
fof(f642,definition,
( sQ22_spl
<=> subset(a,c) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f643,plain,
( ~ sQ22_spl
| subset(a,c) ),
inference(component_clause,[status(thm)],[f642]) ).
fof(f645,plain,
sQ22_spl,
inference(split_clause,[status(thm)],[f640,f642]) ).
fof(f646,plain,
( ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f643,f324]) ).
fof(f647,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f646]) ).
fof(f648,plain,
$false,
inference(sat_refutation,[status(thm)],[f645,f647]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET027-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.56 % Computer : n003.cluster.edu
% 0.10/0.56 % Model : x86_64 x86_64
% 0.10/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.56 % Memory : 8046.5625MB
% 0.10/0.56 % OS : Linux 6.8.0-71-generic
% 0.10/0.56 % CPULimit : 300
% 0.10/0.56 % WCLimit : 300
% 0.10/0.56 % DateTime : Mon Sep 21 04:46:17 UTC 2026
% 0.10/0.56 % CPUTime :
% 0.15/0.58 % Drodi V4.1.1
% 0.15/0.61 % Refutation found
% 0.15/0.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.63 % Elapsed time: 0.065356 seconds
% 0.15/0.63 % CPU time: 0.207048 seconds
% 0.15/0.63 % Total memory used: 108.257 MB
% 0.15/0.63 % Net memory used: 107.957 MB
%------------------------------------------------------------------------------