%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : FLD071-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 12:22:09 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 90 ( 48 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X,Z,Y] :
( ~ less_or_equal(Y,Z)
| ~ less_or_equal(X,Y)
| less_or_equal(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y] :
( ~ defined(Y)
| ~ defined(X)
| less_or_equal(Y,X)
| less_or_equal(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [Y,Z] :
( ~ less_or_equal(additive_identity,Z)
| ~ less_or_equal(additive_identity,Y)
| less_or_equal(additive_identity,multiply(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y] :
( ~ equalish(Y,X)
| equalish(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [Y,Z,X] :
( ~ equalish(X,Y)
| ~ less_or_equal(X,Z)
| less_or_equal(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,hypothesis,
defined(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
less_or_equal(additive_identity,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
equalish(multiply(a,b),u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ less_or_equal(additive_identity,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,plain,
! [Z,Y] :
( ~ less_or_equal(Y,Z)
| ! [X] :
( ~ less_or_equal(X,Y)
| less_or_equal(X,Z) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X0,X2)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f60,plain,
! [Y] :
( ~ defined(Y)
| ! [X] :
( ~ defined(X)
| less_or_equal(Y,X)
| less_or_equal(X,Y) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f61,plain,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| less_or_equal(X1,X0)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f64,plain,
! [Z] :
( ~ less_or_equal(additive_identity,Z)
| ! [Y] :
( ~ less_or_equal(additive_identity,Y)
| less_or_equal(additive_identity,multiply(Y,Z)) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f65,plain,
! [X0,X1] :
( ~ less_or_equal(additive_identity,X1)
| ~ less_or_equal(additive_identity,X0)
| less_or_equal(additive_identity,multiply(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f67,plain,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f74,plain,
! [Y,X] :
( ~ equalish(X,Y)
| ! [Z] :
( ~ less_or_equal(X,Z)
| less_or_equal(Y,Z) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ~ equalish(X2,X0)
| ~ less_or_equal(X2,X1)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f79,plain,
defined(u),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f80,plain,
less_or_equal(additive_identity,a),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f81,plain,
less_or_equal(additive_identity,b),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f82,plain,
equalish(multiply(a,b),u),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f83,plain,
~ less_or_equal(additive_identity,u),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f84,plain,
! [X0] :
( ~ less_or_equal(X0,u)
| ~ less_or_equal(additive_identity,X0) ),
inference(resolution,[status(thm)],[f59,f83]) ).
fof(f90,plain,
! [X0,X1] :
( ~ less_or_equal(additive_identity,X1)
| ~ equalish(X0,X1)
| ~ less_or_equal(X0,u) ),
inference(resolution,[status(thm)],[f75,f84]) ).
fof(f104,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(u,X0)
| less_or_equal(X0,u) ),
inference(resolution,[status(thm)],[f61,f79]) ).
fof(f110,plain,
! [X0] :
( ~ less_or_equal(additive_identity,X0)
| ~ equalish(u,X0)
| ~ defined(u)
| less_or_equal(u,u) ),
inference(resolution,[status(thm)],[f104,f90]) ).
fof(f115,plain,
! [X0] :
( ~ less_or_equal(additive_identity,X0)
| ~ equalish(u,X0)
| ~ defined(u) ),
inference(forward_subsumption_resolution,[status(thm)],[f110,f90]) ).
fof(f181,plain,
! [X0] :
( ~ less_or_equal(additive_identity,X0)
| ~ equalish(u,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f115,f79]) ).
fof(f185,plain,
! [X0] :
( ~ equalish(X0,u)
| ~ less_or_equal(additive_identity,X0) ),
inference(resolution,[status(thm)],[f181,f67]) ).
fof(f189,plain,
~ less_or_equal(additive_identity,multiply(a,b)),
inference(resolution,[status(thm)],[f185,f82]) ).
fof(f206,plain,
( ~ less_or_equal(additive_identity,b)
| ~ less_or_equal(additive_identity,a) ),
inference(resolution,[status(thm)],[f189,f65]) ).
fof(f210,plain,
~ less_or_equal(additive_identity,b),
inference(forward_subsumption_resolution,[status(thm)],[f206,f80]) ).
fof(f212,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f210,f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : FLD071-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n007.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 15:42:50 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.076000 seconds
% 0.13/0.43 % CPU time: 0.430409 seconds
% 0.13/0.43 % Total memory used: 20.367 MB
% 0.13/0.43 % Net memory used: 19.771 MB
%------------------------------------------------------------------------------