%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : FLD034-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 12:21:58 PM UTC 2026
% Result : Unsatisfiable 0.12s 5.43s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 38 ( 22 ~; 16 |; 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 : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 29 ( 29 !; 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(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(f27,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
product(multiplicative_identity,m,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
~ product(m,a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,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(f39,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)],[f38]) ).
fof(f42,plain,
! [X0] :
( ~ defined(X0)
| product(multiplicative_identity,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ product(X1,X0,X2)
| product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f70,plain,
defined(a),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f72,plain,
product(multiplicative_identity,m,multiplicative_identity),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f73,plain,
~ product(m,a,a),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ product(X1,X2,a)
| ~ product(X0,X2,a)
| ~ product(m,X0,X1) ),
inference(resolution,[status(thm)],[f39,f73]) ).
fof(f82,plain,
( ~ defined(a)
| ~ product(m,multiplicative_identity,multiplicative_identity) ),
inference(resolution,[status(thm)],[f74,f42]) ).
fof(f92,plain,
~ product(m,multiplicative_identity,multiplicative_identity),
inference(forward_subsumption_resolution,[status(thm)],[f82,f70]) ).
fof(f95,plain,
~ product(multiplicative_identity,m,multiplicative_identity),
inference(resolution,[status(thm)],[f92,f44]) ).
fof(f97,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f95,f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD034-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.40 % Computer : n004.cluster.edu
% 0.12/5.40 % Model : x86_64 x86_64
% 0.12/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.40 % Memory : 8046.5625MB
% 0.12/5.40 % OS : Linux 6.8.0-71-generic
% 0.12/5.40 % CPULimit : 300
% 0.12/5.40 % WCLimit : 300
% 0.12/5.40 % DateTime : Mon Sep 21 15:39:25 UTC 2026
% 0.12/5.40 % CPUTime :
% 0.12/5.41 % Drodi V4.1.1
% 0.12/5.43 % Refutation found
% 0.12/5.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/5.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/5.46 % Elapsed time: 0.052144 seconds
% 0.12/5.46 % CPU time: 0.138197 seconds
% 0.12/5.46 % Total memory used: 7.365 MB
% 0.12/5.46 % Net memory used: 7.262 MB
%------------------------------------------------------------------------------