%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : FLD005-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 12:21:50 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.46s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 8 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 99 ( 56 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] :
( ~ defined(Z)
| ~ defined(Y)
| ~ defined(X)
| equalish(add(X,add(Y,Z)),add(add(X,Y),Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( ~ defined(X)
| equalish(add(additive_identity,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( ~ defined(X)
| equalish(add(X,additive_inverse(X)),additive_identity) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] :
( ~ defined(X)
| defined(additive_inverse(X)) ),
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(f24,axiom,
! [X,Z,Y] :
( ~ equalish(X,Y)
| ~ defined(Z)
| equalish(add(X,Z),add(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [X] : ~ equalish(add(a,X),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,plain,
! [Z] :
( ~ defined(Z)
| ! [Y] :
( ~ defined(Y)
| ! [X] :
( ~ defined(X)
| equalish(add(X,add(Y,Z)),add(add(X,Y),Z)) ) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ~ defined(X2)
| ~ defined(X1)
| ~ defined(X0)
| equalish(add(X0,add(X1,X2)),add(add(X0,X1),X2)) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f33,plain,
! [X0] :
( ~ defined(X0)
| equalish(add(additive_identity,X0),X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f34,plain,
! [X0] :
( ~ defined(X0)
| equalish(add(X0,additive_inverse(X0)),additive_identity) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f48,plain,
! [X0] :
( ~ defined(X0)
| defined(additive_inverse(X0)) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f64,plain,
! [Z,Y] :
( ~ equalish(Y,Z)
| ! [X] :
( ~ equalish(X,Y)
| equalish(X,Z) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ~ equalish(X2,X1)
| ~ equalish(X0,X2)
| equalish(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f66,plain,
! [X,Y] :
( ~ equalish(X,Y)
| ! [Z] :
( ~ defined(Z)
| equalish(add(X,Z),add(Y,Z)) ) ),
inference(miniscoping,[status(thm)],[f24]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ equalish(X0,X2)
| ~ defined(X1)
| equalish(add(X0,X1),add(X2,X1)) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f73,plain,
defined(a),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f74,plain,
defined(b),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f75,plain,
! [X0] : ~ equalish(add(a,X0),b),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f79,plain,
! [X0,X1] :
( ~ equalish(X1,b)
| ~ equalish(add(a,X0),X1) ),
inference(resolution,[status(thm)],[f65,f75]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ~ equalish(X2,b)
| ~ equalish(X1,X2)
| ~ equalish(add(a,X0),X1) ),
inference(resolution,[status(thm)],[f79,f65]) ).
fof(f98,plain,
! [X0,X1] :
( ~ equalish(X1,add(additive_identity,b))
| ~ equalish(add(a,X0),X1)
| ~ defined(b) ),
inference(resolution,[status(thm)],[f33,f83]) ).
fof(f101,plain,
! [X0,X1] :
( ~ equalish(X1,add(additive_identity,b))
| ~ equalish(add(a,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f98,f74]) ).
fof(f131,plain,
! [X0,X1] :
( ~ equalish(X1,additive_identity)
| ~ defined(b)
| ~ equalish(add(a,X0),add(X1,b)) ),
inference(resolution,[status(thm)],[f101,f67]) ).
fof(f136,plain,
! [X0,X1] :
( ~ equalish(X1,additive_identity)
| ~ equalish(add(a,X0),add(X1,b)) ),
inference(forward_subsumption_resolution,[status(thm)],[f131,f74]) ).
fof(f360,plain,
! [X0] :
( ~ defined(b)
| ~ defined(X0)
| ~ defined(a)
| ~ equalish(add(a,X0),additive_identity) ),
inference(resolution,[status(thm)],[f136,f32]) ).
fof(f365,plain,
! [X0] :
( ~ defined(b)
| ~ defined(X0)
| ~ equalish(add(a,X0),additive_identity) ),
inference(forward_subsumption_resolution,[status(thm)],[f360,f73]) ).
fof(f366,plain,
! [X0] :
( ~ defined(X0)
| ~ equalish(add(a,X0),additive_identity) ),
inference(forward_subsumption_resolution,[status(thm)],[f365,f74]) ).
fof(f367,plain,
( ~ defined(a)
| ~ defined(additive_inverse(a)) ),
inference(resolution,[status(thm)],[f366,f34]) ).
fof(f370,plain,
~ defined(a),
inference(forward_subsumption_resolution,[status(thm)],[f367,f48]) ).
fof(f371,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f370,f73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD005-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n006.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 15:36:13 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.14/0.46 % Refutation found
% 0.14/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.49 % Elapsed time: 0.122939 seconds
% 0.14/0.49 % CPU time: 0.741337 seconds
% 0.14/0.49 % Total memory used: 27.271 MB
% 0.14/0.49 % Net memory used: 25.690 MB
%------------------------------------------------------------------------------