%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ROB003-1 : TPTP v9.3.1. Released v1.0.0.
% 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 02:06:31 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.55s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 34 unt; 0 def)
% Number of atoms : 34 ( 33 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : add(add(X,Y),Z) = add(X,add(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
! [X] : add(X,c) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(cnf_transformation,[status(thm)],[f2]) ).
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] : add(X0,c) = c,
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(f23,plain,
add(negate(add(a,negate(b))),negate(add(negate(b),negate(a)))) != b,
inference(paramodulation,[status(thm)],[f6,f10]) ).
fof(f85,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X1,negate(X0))))) = X1,
inference(paramodulation,[status(thm)],[f6,f8]) ).
fof(f87,plain,
! [X0,X1] : negate(add(negate(add(negate(add(X0,X1)),add(X0,negate(X1)))),X0)) = negate(add(X0,X1)),
inference(paramodulation,[status(thm)],[f8,f8]) ).
fof(f95,plain,
! [X0] : add(c,X0) = c,
inference(paramodulation,[status(thm)],[f6,f9]) ).
fof(f98,plain,
! [X0] : negate(add(negate(c),negate(add(X0,negate(c))))) = X0,
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f117,plain,
! [X0] : negate(add(negate(add(c,X0)),negate(c))) = c,
inference(paramodulation,[status(thm)],[f95,f8]) ).
fof(f128,plain,
negate(add(negate(c),negate(c))) = c,
inference(forward_demodulation,[status(thm)],[f95,f117]) ).
fof(f138,plain,
! [X0] : negate(add(negate(add(X0,add(negate(c),negate(c)))),negate(add(X0,c)))) = X0,
inference(paramodulation,[status(thm)],[f128,f8]) ).
fof(f139,plain,
! [X0] : negate(add(negate(add(X0,add(negate(c),negate(c)))),negate(c))) = X0,
inference(forward_demodulation,[status(thm)],[f9,f138]) ).
fof(f342,plain,
! [X0] : negate(add(negate(c),negate(add(negate(c),X0)))) = X0,
inference(paramodulation,[status(thm)],[f6,f98]) ).
fof(f379,plain,
! [X0] : negate(add(negate(add(add(negate(c),negate(c)),X0)),negate(add(X0,c)))) = X0,
inference(paramodulation,[status(thm)],[f128,f85]) ).
fof(f406,plain,
! [X0] : negate(add(negate(add(negate(c),add(negate(c),X0))),negate(add(X0,c)))) = X0,
inference(forward_demodulation,[status(thm)],[f7,f379]) ).
fof(f407,plain,
! [X0] : negate(add(negate(add(negate(c),add(negate(c),X0))),negate(c))) = X0,
inference(forward_demodulation,[status(thm)],[f9,f406]) ).
fof(f544,plain,
! [X0] : negate(add(negate(add(negate(add(X0,add(negate(c),negate(c)))),add(X0,c))),X0)) = negate(add(X0,add(negate(c),negate(c)))),
inference(paramodulation,[status(thm)],[f128,f87]) ).
fof(f598,plain,
! [X0] : negate(add(negate(add(negate(add(X0,add(negate(c),negate(c)))),c)),X0)) = negate(add(X0,add(negate(c),negate(c)))),
inference(forward_demodulation,[status(thm)],[f9,f544]) ).
fof(f601,plain,
! [X0] : negate(add(negate(add(negate(c),X0)),negate(c))) = X0,
inference(backward_demodulation,[status(thm)],[f602,f139]) ).
fof(f602,plain,
! [X0] : negate(add(negate(c),X0)) = negate(add(X0,add(negate(c),negate(c)))),
inference(forward_demodulation,[status(thm)],[f9,f598]) ).
fof(f617,plain,
! [X0] : add(negate(c),X0) = X0,
inference(backward_demodulation,[status(thm)],[f601,f407]) ).
fof(f618,plain,
! [X0] : negate(negate(add(negate(c),X0))) = X0,
inference(backward_demodulation,[status(thm)],[f617,f342]) ).
fof(f685,plain,
! [X0] : negate(negate(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f617,f618]) ).
fof(f825,plain,
! [X0,X1] : negate(X0) = add(negate(add(X1,X0)),negate(add(X0,negate(X1)))),
inference(paramodulation,[status(thm)],[f85,f685]) ).
fof(f852,plain,
negate(negate(b)) != b,
inference(backward_demodulation,[status(thm)],[f825,f23]) ).
fof(f872,plain,
b != b,
inference(forward_demodulation,[status(thm)],[f685,f852]) ).
fof(f873,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f872]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 04:23:02 UTC 2026
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.55 % Refutation found
% 0.14/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.58 % Elapsed time: 0.203298 seconds
% 0.14/0.58 % CPU time: 1.340686 seconds
% 0.14/0.58 % Total memory used: 27.202 MB
% 0.14/0.58 % Net memory used: 26.609 MB
%------------------------------------------------------------------------------