%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : FLD061-2 : 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 12:22:06 PM UTC 2026
% Result : Unsatisfiable 31.77s 4.47s
% Output : CNFRefutation 31.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 54 ( 20 unt; 0 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 142 ( 78 ~; 64 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X,Y] :
( ~ defined(Y)
| ~ defined(X)
| equalish(add(X,Y),add(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X,Z,Y] :
( ~ less_or_equal(Y,Z)
| ~ less_or_equal(X,Y)
| less_or_equal(X,Z) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Z,Y] :
( ~ less_or_equal(X,Y)
| ~ defined(Z)
| less_or_equal(add(X,Z),add(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y] :
( ~ equalish(Y,X)
| equalish(X,Y) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,hypothesis,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,hypothesis,
defined(v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
equalish(add(a,c),u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
equalish(add(d,b),v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
less_or_equal(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
less_or_equal(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
~ less_or_equal(u,v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,plain,
! [Y] :
( ~ defined(Y)
| ! [X] :
( ~ defined(X)
| equalish(add(X,Y),add(Y,X)) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f44,plain,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| equalish(add(X0,X1),add(X1,X0)) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f62,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(f63,plain,
! [X0,X1,X2] :
( ~ less_or_equal(X2,X1)
| ~ less_or_equal(X0,X2)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f64,plain,
! [Y] :
( ~ defined(Y)
| ! [X] :
( ~ defined(X)
| less_or_equal(Y,X)
| less_or_equal(X,Y) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f65,plain,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| less_or_equal(X1,X0)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f66,plain,
! [X,Y] :
( ~ less_or_equal(X,Y)
| ! [Z] :
( ~ defined(Z)
| less_or_equal(add(X,Z),add(Y,Z)) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ less_or_equal(X0,X2)
| ~ defined(X1)
| less_or_equal(add(X0,X1),add(X2,X1)) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f71,plain,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f78,plain,
! [Y,X] :
( ~ equalish(X,Y)
| ! [Z] :
( ~ less_or_equal(X,Z)
| less_or_equal(Y,Z) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ equalish(X2,X0)
| ~ less_or_equal(X2,X1)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f82,plain,
defined(b),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f83,plain,
defined(c),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f86,plain,
defined(v),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f87,plain,
equalish(add(a,c),u),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f88,plain,
equalish(add(d,b),v),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f89,plain,
less_or_equal(a,b),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f90,plain,
less_or_equal(c,d),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f91,plain,
~ less_or_equal(u,v),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f92,plain,
! [X0] :
( ~ less_or_equal(X0,v)
| ~ less_or_equal(u,X0) ),
inference(resolution,[status(thm)],[f63,f91]) ).
fof(f95,plain,
! [X0] :
( ~ defined(X0)
| less_or_equal(v,X0)
| less_or_equal(X0,v) ),
inference(resolution,[status(thm)],[f65,f86]) ).
fof(f104,plain,
! [X0,X1] :
( ~ less_or_equal(X1,v)
| ~ equalish(X0,u)
| ~ less_or_equal(X0,X1) ),
inference(resolution,[status(thm)],[f79,f92]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ~ equalish(X2,X1)
| ~ less_or_equal(X2,v)
| ~ equalish(X0,u)
| ~ less_or_equal(X0,X1) ),
inference(resolution,[status(thm)],[f104,f79]) ).
fof(f244,plain,
( less_or_equal(v,v)
| less_or_equal(v,v) ),
inference(resolution,[status(thm)],[f95,f86]) ).
fof(f250,plain,
less_or_equal(v,v),
inference(duplicate_literals_removal,[status(thm)],[f244]) ).
fof(f943,plain,
! [X0,X1] :
( ~ equalish(v,X1)
| ~ equalish(X0,u)
| ~ less_or_equal(X0,X1) ),
inference(resolution,[status(thm)],[f250,f109]) ).
fof(f1026,plain,
! [X0,X1] :
( ~ equalish(X1,v)
| ~ equalish(X0,u)
| ~ less_or_equal(X0,X1) ),
inference(resolution,[status(thm)],[f943,f71]) ).
fof(f1106,plain,
! [X0] :
( ~ equalish(X0,v)
| ~ less_or_equal(add(a,c),X0) ),
inference(resolution,[status(thm)],[f1026,f87]) ).
fof(f1229,plain,
! [X0,X1] :
( ~ less_or_equal(X1,X0)
| ~ less_or_equal(add(a,c),X1)
| ~ equalish(X0,v) ),
inference(resolution,[status(thm)],[f1106,f63]) ).
fof(f1787,plain,
! [X0,X1] :
( ~ less_or_equal(a,X1)
| ~ defined(c)
| ~ less_or_equal(add(X1,c),X0)
| ~ equalish(X0,v) ),
inference(resolution,[status(thm)],[f1229,f67]) ).
fof(f1791,plain,
! [X0,X1] :
( ~ less_or_equal(a,X1)
| ~ less_or_equal(add(X1,c),X0)
| ~ equalish(X0,v) ),
inference(forward_subsumption_resolution,[status(thm)],[f1787,f83]) ).
fof(f3320,plain,
! [X0] :
( ~ less_or_equal(add(b,c),X0)
| ~ equalish(X0,v) ),
inference(resolution,[status(thm)],[f1791,f89]) ).
fof(f3325,plain,
~ less_or_equal(add(b,c),add(d,b)),
inference(resolution,[status(thm)],[f3320,f88]) ).
fof(f3339,plain,
! [X0] :
( ~ equalish(X0,add(b,c))
| ~ less_or_equal(X0,add(d,b)) ),
inference(resolution,[status(thm)],[f3325,f79]) ).
fof(f4957,plain,
! [X0] :
( ~ less_or_equal(X0,d)
| ~ defined(b)
| ~ equalish(add(X0,b),add(b,c)) ),
inference(resolution,[status(thm)],[f3339,f67]) ).
fof(f4960,plain,
! [X0] :
( ~ less_or_equal(X0,d)
| ~ equalish(add(X0,b),add(b,c)) ),
inference(forward_subsumption_resolution,[status(thm)],[f4957,f82]) ).
fof(f6759,plain,
( ~ defined(b)
| ~ defined(c)
| ~ less_or_equal(c,d) ),
inference(resolution,[status(thm)],[f4960,f44]) ).
fof(f6763,plain,
( ~ defined(b)
| ~ defined(c) ),
inference(forward_subsumption_resolution,[status(thm)],[f6759,f90]) ).
fof(f6765,plain,
~ defined(b),
inference(forward_subsumption_resolution,[status(thm)],[f6763,f83]) ).
fof(f6766,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f82,f6765]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD061-2 : 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 15:46:37 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 31.77/4.47 % Refutation found
% 31.77/4.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 31.77/4.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 31.77/4.51 % Elapsed time: 4.123685 seconds
% 31.77/4.51 % CPU time: 32.395372 seconds
% 31.77/4.51 % Total memory used: 209.385 MB
% 31.77/4.51 % Net memory used: 177.727 MB
%------------------------------------------------------------------------------