%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ROB021-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 02:06:33 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 11 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
! [X,Y] :
( X = Y
| negate(X) != negate(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f8,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f9,plain,
! [X0,X1] :
( X0 = X1
| negate(X0) != negate(X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f15,plain,
add(negate(add(a,negate(b))),negate(add(negate(b),negate(a)))) != b,
inference(paramodulation,[status(thm)],[f6,f10]) ).
fof(f104,plain,
! [X0,X1] : add(negate(add(negate(X0),X1)),negate(add(negate(X0),negate(X1)))) = X0,
inference(resolution,[status(thm)],[f8,f9]) ).
fof(f131,plain,
! [X0,X1] : add(negate(add(X0,negate(X1))),negate(add(negate(X1),negate(X0)))) = X1,
inference(paramodulation,[status(thm)],[f6,f104]) ).
fof(f148,plain,
b != b,
inference(backward_demodulation,[status(thm)],[f131,f15]) ).
fof(f152,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ROB021-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n004.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 04:24:05 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.48 % Drodi V4.1.1
% 0.19/0.49 % Refutation found
% 0.19/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.57 % Elapsed time: 0.099279 seconds
% 0.22/0.57 % CPU time: 0.096708 seconds
% 0.22/0.57 % Total memory used: 6.409 MB
% 0.22/0.57 % Net memory used: 6.390 MB
%------------------------------------------------------------------------------