%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : FLD025-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 12:21:56 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.54s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 17 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 58 ( 30 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X,V,W,Y,U,Z] :
( ~ product(U,Z,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U)
| product(X,V,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [U,Z,W,X,Y,V] :
( ~ product(X,V,W)
| ~ product(Y,Z,V)
| ~ product(X,Y,U)
| product(U,Z,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( ~ defined(X)
| product(multiplicative_identity,X,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [Y,X,Z] :
( ~ product(X,Y,Z)
| product(Y,X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,hypothesis,
defined(u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
product(multiplicative_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
product(multiplicative_identity,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
product(a,c,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
~ product(d,b,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,plain,
! [W,U,Z] :
( ~ product(U,Z,W)
| ! [V,Y] :
( ~ product(Y,Z,V)
| ! [X] :
( ~ product(X,Y,U)
| product(X,V,W) ) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f44,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ product(X4,X5,X2)
| ~ product(X3,X5,X1)
| ~ product(X0,X3,X4)
| product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f45,plain,
! [W,X,V] :
( ~ product(X,V,W)
| ! [Z,Y] :
( ~ product(Y,Z,V)
| ! [U] :
( ~ product(X,Y,U)
| product(U,Z,W) ) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f46,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ product(X3,X5,X2)
| ~ product(X4,X1,X5)
| ~ product(X3,X4,X0)
| product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f47,plain,
! [X0] :
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ product(X1,X0,X2)
| product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f79,plain,
defined(u),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f80,plain,
product(multiplicative_identity,a,b),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f81,plain,
product(multiplicative_identity,c,d),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f82,plain,
product(a,c,u),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f83,plain,
~ product(d,b,u),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ~ product(u,X2,X1)
| ~ product(c,X2,X0)
| product(a,X0,X1) ),
inference(resolution,[status(thm)],[f44,f82]) ).
fof(f87,plain,
product(multiplicative_identity,u,u),
inference(resolution,[status(thm)],[f47,f79]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ~ product(multiplicative_identity,X2,X1)
| ~ product(a,X0,X2)
| product(b,X0,X1) ),
inference(resolution,[status(thm)],[f46,f80]) ).
fof(f97,plain,
product(c,multiplicative_identity,d),
inference(resolution,[status(thm)],[f49,f81]) ).
fof(f121,plain,
product(u,multiplicative_identity,u),
inference(resolution,[status(thm)],[f87,f49]) ).
fof(f153,plain,
! [X0] :
( ~ product(u,multiplicative_identity,X0)
| product(a,d,X0) ),
inference(resolution,[status(thm)],[f84,f97]) ).
fof(f266,plain,
product(a,d,u),
inference(resolution,[status(thm)],[f153,f121]) ).
fof(f303,plain,
! [X0] :
( ~ product(multiplicative_identity,u,X0)
| product(b,d,X0) ),
inference(resolution,[status(thm)],[f95,f266]) ).
fof(f1108,plain,
product(b,d,u),
inference(resolution,[status(thm)],[f303,f87]) ).
fof(f1110,plain,
product(d,b,u),
inference(resolution,[status(thm)],[f1108,f49]) ).
fof(f1113,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1110,f83]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD025-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.36 % Computer : n020.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Mon Sep 21 15:39:54 UTC 2026
% 0.10/5.36 % CPUTime :
% 0.10/5.37 % Drodi V4.1.1
% 0.14/5.54 % Refutation found
% 0.14/5.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.55 % Elapsed time: 0.170481 seconds
% 0.14/5.55 % CPU time: 1.154384 seconds
% 0.14/5.55 % Total memory used: 28.552 MB
% 0.14/5.55 % Net memory used: 27.257 MB
%------------------------------------------------------------------------------