%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM141-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 01:38:41 PM UTC 2026
% Result : Unsatisfiable 5.37s 1.24s
% Output : CNFRefutation 5.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 14 unt; 0 def)
% Number of atoms : 46 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 15 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f22,axiom,
! [Z,X,Y] :
( member(Z,Y)
| ~ member(Z,intersection(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [Z,X] :
( ~ member(Z,X)
| ~ member(Z,complement(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [Z,X] :
( member(Z,X)
| member(Z,complement(X))
| ~ member(Z,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X,Y] : complement(intersection(complement(X),complement(Y))) = union(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [X] : union(X,singleton(X)) = successor(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f159,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f160,negated_conjecture,
~ member(x,successor(x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f171,plain,
! [X] :
( ! [Y] : member(X,unordered_pair(X,Y))
| ~ member(X,universal_class) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f172,plain,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(thm)],[f171]) ).
fof(f176,plain,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f190,plain,
! [Z,Y] :
( member(Z,Y)
| ! [X] : ~ member(Z,intersection(X,Y)) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f191,plain,
! [X0,X1,X2] :
( member(X0,X2)
| ~ member(X0,intersection(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f193,plain,
! [X0,X1] :
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f194,plain,
! [X0,X1] :
( member(X0,X1)
| member(X0,complement(X1))
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f195,plain,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f212,plain,
! [X0] : union(X0,singleton(X0)) = successor(X0),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f348,plain,
member(x,universal_class),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f349,plain,
~ member(x,successor(x)),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f365,plain,
! [X0] : member(x,unordered_pair(x,X0)),
inference(resolution,[status(thm)],[f172,f348]) ).
fof(f367,plain,
member(x,singleton(x)),
inference(paramodulation,[status(thm)],[f176,f365]) ).
fof(f698,plain,
! [X0] :
( member(x,X0)
| member(x,complement(X0)) ),
inference(resolution,[status(thm)],[f194,f348]) ).
fof(f822,plain,
! [X0,X1] :
( member(x,intersection(complement(X0),complement(X1)))
| member(x,union(X0,X1)) ),
inference(paramodulation,[status(thm)],[f195,f698]) ).
fof(f1228,plain,
! [X0,X1] :
( member(x,complement(X1))
| member(x,union(X0,X1)) ),
inference(resolution,[status(thm)],[f822,f191]) ).
fof(f1290,plain,
! [X0] :
( member(x,complement(singleton(X0)))
| member(x,successor(X0)) ),
inference(paramodulation,[status(thm)],[f212,f1228]) ).
fof(f3801,plain,
! [X0] :
( ~ member(x,singleton(X0))
| member(x,successor(X0)) ),
inference(resolution,[status(thm)],[f1290,f193]) ).
fof(f3813,plain,
member(x,successor(x)),
inference(resolution,[status(thm)],[f3801,f367]) ).
fof(f3816,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3813,f349]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM141-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n026.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 02:10:22 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 5.37/1.24 % Refutation found
% 5.37/1.24 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.37/1.24 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.37/1.26 % Elapsed time: 0.869477 seconds
% 5.37/1.26 % CPU time: 6.446079 seconds
% 5.37/1.26 % Total memory used: 209.083 MB
% 5.37/1.26 % Net memory used: 200.855 MB
%------------------------------------------------------------------------------