%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ROB023-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 0.16s 0.66s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of formulae : 49 ( 49 unt; 0 def)
% Number of atoms : 49 ( 48 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 : 11 ( 3 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 : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : add(add(X,Y),Z) = add(X,add(Y,Z)),
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] : add(X,X) = X,
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(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,X0) = X0,
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(f19,plain,
add(negate(add(a,negate(b))),negate(add(negate(b),negate(a)))) != b,
inference(forward_demodulation,[status(thm)],[f6,f10]) ).
fof(f24,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X1,add(X2,X0)),
inference(paramodulation,[status(thm)],[f6,f7]) ).
fof(f30,plain,
! [X0,X1] : add(X0,X1) = add(X0,add(X0,X1)),
inference(paramodulation,[status(thm)],[f9,f7]) ).
fof(f41,plain,
! [X0,X1] : add(X0,X1) = add(X0,add(X1,X0)),
inference(paramodulation,[status(thm)],[f6,f30]) ).
fof(f58,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X1,negate(X0))))) = X1,
inference(paramodulation,[status(thm)],[f6,f8]) ).
fof(f60,plain,
! [X0] : negate(add(negate(X0),negate(add(X0,negate(X0))))) = X0,
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f65,plain,
! [X0] : negate(add(negate(add(negate(X0),X0)),negate(negate(X0)))) = negate(X0),
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f72,plain,
! [X0] : negate(add(negate(negate(X0)),negate(add(negate(X0),X0)))) = negate(X0),
inference(forward_demodulation,[status(thm)],[f6,f65]) ).
fof(f73,plain,
! [X0] : negate(add(negate(negate(X0)),negate(add(X0,negate(X0))))) = negate(X0),
inference(forward_demodulation,[status(thm)],[f6,f72]) ).
fof(f87,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X0,add(add(X1,X0),X2)),
inference(paramodulation,[status(thm)],[f41,f7]) ).
fof(f100,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X0,add(add(X1,X0),X2)),
inference(forward_demodulation,[status(thm)],[f7,f87]) ).
fof(f102,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X0,add(X1,add(X0,X2))),
inference(forward_demodulation,[status(thm)],[f7,f100]) ).
fof(f104,plain,
! [X0] : negate(add(X0,negate(add(add(negate(X0),negate(add(X0,negate(X0)))),negate(add(negate(X0),negate(add(X0,negate(X0))))))))) = add(negate(X0),negate(add(X0,negate(X0)))),
inference(paramodulation,[status(thm)],[f60,f60]) ).
fof(f108,plain,
! [X0] : negate(add(negate(add(negate(X0),add(X0,negate(X0)))),X0)) = negate(X0),
inference(paramodulation,[status(thm)],[f60,f8]) ).
fof(f114,plain,
! [X0] : negate(add(X0,negate(add(negate(X0),add(negate(add(X0,negate(X0))),negate(add(negate(X0),negate(add(X0,negate(X0)))))))))) = add(negate(X0),negate(add(X0,negate(X0)))),
inference(forward_demodulation,[status(thm)],[f7,f104]) ).
fof(f115,plain,
! [X0] : negate(add(X0,negate(add(negate(X0),add(negate(add(X0,negate(X0))),X0))))) = add(negate(X0),negate(add(X0,negate(X0)))),
inference(forward_demodulation,[status(thm)],[f60,f114]) ).
fof(f116,plain,
! [X0] : negate(add(X0,negate(add(X0,add(negate(X0),negate(add(X0,negate(X0)))))))) = add(negate(X0),negate(add(X0,negate(X0)))),
inference(forward_demodulation,[status(thm)],[f24,f115]) ).
fof(f123,plain,
! [X0] : negate(add(X0,negate(add(negate(X0),add(X0,negate(X0)))))) = negate(X0),
inference(forward_demodulation,[status(thm)],[f6,f108]) ).
fof(f124,plain,
! [X0] : negate(add(X0,negate(add(negate(X0),X0)))) = negate(X0),
inference(forward_demodulation,[status(thm)],[f41,f123]) ).
fof(f125,plain,
! [X0] : negate(add(X0,negate(add(X0,negate(X0))))) = negate(X0),
inference(forward_demodulation,[status(thm)],[f6,f124]) ).
fof(f134,plain,
! [X0] : negate(add(negate(add(X0,negate(add(X0,negate(X0))))),negate(add(add(X0,negate(add(X0,negate(X0)))),negate(X0))))) = add(X0,negate(add(X0,negate(X0)))),
inference(paramodulation,[status(thm)],[f125,f60]) ).
fof(f153,plain,
! [X0] : negate(add(negate(X0),negate(add(add(X0,negate(add(X0,negate(X0)))),negate(X0))))) = add(X0,negate(add(X0,negate(X0)))),
inference(forward_demodulation,[status(thm)],[f125,f134]) ).
fof(f154,plain,
! [X0] : negate(add(negate(X0),negate(add(X0,add(negate(add(X0,negate(X0))),negate(X0)))))) = add(X0,negate(add(X0,negate(X0)))),
inference(forward_demodulation,[status(thm)],[f7,f153]) ).
fof(f155,plain,
! [X0] : negate(add(negate(X0),negate(add(X0,add(negate(X0),negate(add(X0,negate(X0)))))))) = add(X0,negate(add(X0,negate(X0)))),
inference(forward_demodulation,[status(thm)],[f6,f154]) ).
fof(f599,plain,
! [X0] : negate(add(negate(X0),negate(add(add(negate(X0),negate(add(X0,negate(X0)))),negate(add(negate(X0),negate(add(X0,negate(X0))))))))) = negate(add(negate(X0),negate(add(X0,negate(X0))))),
inference(paramodulation,[status(thm)],[f60,f73]) ).
fof(f620,plain,
! [X0] : negate(add(negate(X0),negate(add(negate(X0),add(negate(add(X0,negate(X0))),negate(add(negate(X0),negate(add(X0,negate(X0)))))))))) = negate(add(negate(X0),negate(add(X0,negate(X0))))),
inference(forward_demodulation,[status(thm)],[f7,f599]) ).
fof(f621,plain,
! [X0] : negate(add(negate(X0),negate(add(negate(X0),add(negate(add(X0,negate(X0))),X0))))) = negate(add(negate(X0),negate(add(X0,negate(X0))))),
inference(forward_demodulation,[status(thm)],[f60,f620]) ).
fof(f622,plain,
! [X0] : negate(add(negate(X0),negate(add(X0,add(negate(X0),negate(add(X0,negate(X0)))))))) = negate(add(negate(X0),negate(add(X0,negate(X0))))),
inference(forward_demodulation,[status(thm)],[f24,f621]) ).
fof(f623,plain,
! [X0] : add(X0,negate(add(X0,negate(X0)))) = negate(add(negate(X0),negate(add(X0,negate(X0))))),
inference(forward_demodulation,[status(thm)],[f155,f622]) ).
fof(f627,plain,
! [X0] : add(X0,negate(add(X0,negate(X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f60,f623]) ).
fof(f672,plain,
! [X0,X1] : add(X0,add(X1,negate(add(X0,negate(X0))))) = add(X0,add(X1,X0)),
inference(paramodulation,[status(thm)],[f627,f102]) ).
fof(f703,plain,
! [X0] : negate(add(X0,negate(add(X0,negate(X0))))) = add(negate(X0),negate(add(X0,negate(X0)))),
inference(backward_demodulation,[status(thm)],[f704,f116]) ).
fof(f704,plain,
! [X0,X1] : add(X0,add(X1,negate(add(X0,negate(X0))))) = add(X0,X1),
inference(forward_demodulation,[status(thm)],[f41,f672]) ).
fof(f712,plain,
! [X0] : negate(negate(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f714,f60]) ).
fof(f714,plain,
! [X0] : negate(X0) = add(negate(X0),negate(add(X0,negate(X0)))),
inference(forward_demodulation,[status(thm)],[f627,f703]) ).
fof(f870,plain,
! [X0,X1] : negate(X0) = add(negate(add(X1,X0)),negate(add(X0,negate(X1)))),
inference(paramodulation,[status(thm)],[f58,f712]) ).
fof(f907,plain,
negate(negate(b)) != b,
inference(backward_demodulation,[status(thm)],[f870,f19]) ).
fof(f914,plain,
b != b,
inference(forward_demodulation,[status(thm)],[f712,f907]) ).
fof(f915,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f914]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ROB023-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n007.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 04:21:52 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 0.16/0.66 % Refutation found
% 0.16/0.66 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.75/1.88 % Elapsed time: 1.229430 seconds
% 7.75/1.88 % CPU time: 1.475924 seconds
% 7.75/1.88 % Total memory used: 23.299 MB
% 7.75/1.88 % Net memory used: 22.807 MB
%------------------------------------------------------------------------------