%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : FLD025-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 12:21:55 PM UTC 2026
% Result : Unsatisfiable 1.37s 0.61s
% Output : CNFRefutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 11
% Syntax : Number of formulae : 47 ( 22 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 99 ( 61 ~; 38 |; 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 : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X,Y] :
( ~ defined(Y)
| ~ defined(X)
| equalish(multiply(X,Y),multiply(Y,X)) ),
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(f23,axiom,
! [X,Z,Y] :
( ~ equalish(Y,Z)
| ~ equalish(X,Y)
| equalish(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X,Z,Y] :
( ~ equalish(X,Y)
| ~ defined(Z)
| equalish(multiply(X,Z),multiply(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(f34,negated_conjecture,
equalish(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
equalish(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
equalish(multiply(a,c),u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
equalish(multiply(d,b),v),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
~ equalish(v,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,plain,
! [Y] :
( ~ defined(Y)
| ! [X] :
( ~ defined(X)
| equalish(multiply(X,Y),multiply(Y,X)) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f50,plain,
! [X0,X1] :
( ~ defined(X1)
| ~ defined(X0)
| equalish(multiply(X0,X1),multiply(X1,X0)) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f71,plain,
! [X0,X1] :
( ~ equalish(X1,X0)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f72,plain,
! [Z,Y] :
( ~ equalish(Y,Z)
| ! [X] :
( ~ equalish(X,Y)
| equalish(X,Z) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ~ equalish(X2,X1)
| ~ equalish(X0,X2)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f76,plain,
! [X,Y] :
( ~ equalish(X,Y)
| ! [Z] :
( ~ defined(Z)
| equalish(multiply(X,Z),multiply(Y,Z)) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ~ equalish(X0,X2)
| ~ defined(X1)
| equalish(multiply(X0,X1),multiply(X2,X1)) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f82,plain,
defined(b),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f83,plain,
defined(c),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f87,plain,
equalish(a,b),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f88,plain,
equalish(c,d),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f89,plain,
equalish(multiply(a,c),u),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f90,plain,
equalish(multiply(d,b),v),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f91,plain,
~ equalish(v,u),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f92,plain,
~ equalish(u,v),
inference(resolution,[status(thm)],[f71,f91]) ).
fof(f94,plain,
! [X0] :
( ~ equalish(X0,v)
| ~ equalish(u,X0) ),
inference(resolution,[status(thm)],[f73,f92]) ).
fof(f97,plain,
! [X0] :
( ~ equalish(X0,u)
| ~ equalish(X0,v) ),
inference(resolution,[status(thm)],[f94,f71]) ).
fof(f109,plain,
~ equalish(multiply(d,b),u),
inference(resolution,[status(thm)],[f90,f97]) ).
fof(f112,plain,
! [X0] :
( ~ equalish(X0,u)
| ~ equalish(multiply(d,b),X0) ),
inference(resolution,[status(thm)],[f109,f73]) ).
fof(f139,plain,
~ equalish(multiply(d,b),multiply(a,c)),
inference(resolution,[status(thm)],[f112,f89]) ).
fof(f187,plain,
! [X0] :
( ~ equalish(X0,multiply(a,c))
| ~ equalish(multiply(d,b),X0) ),
inference(resolution,[status(thm)],[f139,f73]) ).
fof(f327,plain,
~ equalish(v,multiply(a,c)),
inference(resolution,[status(thm)],[f187,f90]) ).
fof(f336,plain,
~ equalish(multiply(a,c),v),
inference(resolution,[status(thm)],[f327,f71]) ).
fof(f344,plain,
! [X0] :
( ~ equalish(X0,v)
| ~ equalish(multiply(a,c),X0) ),
inference(resolution,[status(thm)],[f336,f73]) ).
fof(f350,plain,
! [X0] :
( ~ equalish(a,X0)
| ~ defined(c)
| ~ equalish(multiply(X0,c),v) ),
inference(resolution,[status(thm)],[f344,f77]) ).
fof(f355,plain,
! [X0] :
( ~ equalish(a,X0)
| ~ equalish(multiply(X0,c),v) ),
inference(forward_subsumption_resolution,[status(thm)],[f350,f83]) ).
fof(f365,plain,
! [X0,X1] :
( ~ equalish(X1,v)
| ~ equalish(multiply(X0,c),X1)
| ~ equalish(a,X0) ),
inference(resolution,[status(thm)],[f355,f73]) ).
fof(f645,plain,
! [X0] :
( ~ equalish(X0,v)
| ~ equalish(multiply(b,c),X0) ),
inference(resolution,[status(thm)],[f365,f87]) ).
fof(f650,plain,
( ~ defined(c)
| ~ defined(b)
| ~ equalish(multiply(c,b),v) ),
inference(resolution,[status(thm)],[f645,f50]) ).
fof(f655,plain,
( ~ defined(c)
| ~ equalish(multiply(c,b),v) ),
inference(forward_subsumption_resolution,[status(thm)],[f650,f82]) ).
fof(f658,plain,
~ equalish(multiply(c,b),v),
inference(forward_subsumption_resolution,[status(thm)],[f655,f83]) ).
fof(f659,plain,
! [X0] :
( ~ equalish(X0,v)
| ~ equalish(multiply(c,b),X0) ),
inference(resolution,[status(thm)],[f658,f73]) ).
fof(f702,plain,
! [X0] :
( ~ equalish(c,X0)
| ~ defined(b)
| ~ equalish(multiply(X0,b),v) ),
inference(resolution,[status(thm)],[f659,f77]) ).
fof(f707,plain,
! [X0] :
( ~ equalish(c,X0)
| ~ equalish(multiply(X0,b),v) ),
inference(forward_subsumption_resolution,[status(thm)],[f702,f82]) ).
fof(f716,plain,
~ equalish(c,d),
inference(resolution,[status(thm)],[f707,f90]) ).
fof(f719,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f716,f88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD025-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n018.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 15:41:00 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 1.37/0.61 % Refutation found
% 1.37/0.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.37/0.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.37/0.63 % Elapsed time: 0.256002 seconds
% 1.37/0.63 % CPU time: 1.793275 seconds
% 1.37/0.63 % Total memory used: 44.415 MB
% 1.37/0.63 % Net memory used: 40.512 MB
%------------------------------------------------------------------------------