%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ROB004-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 1.06s 0.59s
% Output : CNFRefutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 38 ( 38 unt; 0 def)
% Number of atoms : 38 ( 37 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 : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 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,
negate(d) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
add(c,d) = d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
add(c,c) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
negate(d) = c,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
add(c,d) = d,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f13,plain,
add(c,c) = c,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f14,plain,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f27,plain,
add(negate(add(a,negate(b))),negate(add(negate(b),negate(a)))) != b,
inference(paramodulation,[status(thm)],[f8,f14]) ).
fof(f86,plain,
! [X0,X1,X2] : negate(add(negate(add(X0,add(X1,X2))),negate(add(add(X0,X1),negate(X2))))) = add(X0,X1),
inference(paramodulation,[status(thm)],[f9,f10]) ).
fof(f89,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X1,negate(X0))))) = X1,
inference(paramodulation,[status(thm)],[f8,f10]) ).
fof(f93,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(negate(X1),X0)))) = X0,
inference(paramodulation,[status(thm)],[f8,f10]) ).
fof(f96,plain,
! [X0,X1,X2] : negate(add(negate(add(X0,add(X1,X2))),negate(add(X0,add(X1,negate(X2)))))) = add(X0,X1),
inference(forward_demodulation,[status(thm)],[f9,f86]) ).
fof(f98,plain,
! [X0] : negate(add(negate(add(X0,d)),negate(add(X0,c)))) = X0,
inference(paramodulation,[status(thm)],[f11,f10]) ).
fof(f236,plain,
! [X0] : negate(add(negate(add(X0,d)),negate(add(X0,add(c,negate(d)))))) = add(X0,c),
inference(paramodulation,[status(thm)],[f12,f96]) ).
fof(f268,plain,
! [X0] : negate(add(negate(add(X0,d)),negate(add(X0,add(c,c))))) = add(X0,c),
inference(forward_demodulation,[status(thm)],[f11,f236]) ).
fof(f269,plain,
! [X0] : negate(add(negate(add(X0,d)),negate(add(X0,c)))) = add(X0,c),
inference(forward_demodulation,[status(thm)],[f13,f268]) ).
fof(f278,plain,
! [X0] : X0 = add(X0,c),
inference(forward_demodulation,[status(thm)],[f98,f269]) ).
fof(f297,plain,
! [X0] : X0 = add(c,X0),
inference(paramodulation,[status(thm)],[f8,f278]) ).
fof(f325,plain,
! [X0] : negate(add(negate(X0),negate(add(c,negate(X0))))) = c,
inference(paramodulation,[status(thm)],[f278,f89]) ).
fof(f353,plain,
! [X0] : negate(add(negate(X0),negate(negate(X0)))) = c,
inference(forward_demodulation,[status(thm)],[f297,f325]) ).
fof(f611,plain,
! [X0] : negate(add(negate(add(negate(negate(X0)),X0)),c)) = negate(negate(X0)),
inference(paramodulation,[status(thm)],[f353,f93]) ).
fof(f615,plain,
! [X0] : negate(add(c,negate(add(negate(negate(negate(X0))),negate(X0))))) = negate(X0),
inference(paramodulation,[status(thm)],[f353,f93]) ).
fof(f650,plain,
! [X0] : negate(negate(add(negate(negate(X0)),X0))) = negate(negate(X0)),
inference(forward_demodulation,[status(thm)],[f278,f611]) ).
fof(f653,plain,
! [X0] : negate(negate(add(negate(negate(negate(X0))),negate(X0)))) = negate(X0),
inference(forward_demodulation,[status(thm)],[f297,f615]) ).
fof(f655,plain,
! [X0] : negate(negate(negate(X0))) = negate(X0),
inference(forward_demodulation,[status(thm)],[f650,f653]) ).
fof(f679,plain,
! [X0,X1] : negate(negate(X0)) = negate(add(negate(add(X0,X1)),negate(add(negate(X1),X0)))),
inference(paramodulation,[status(thm)],[f93,f655]) ).
fof(f748,plain,
! [X0] : negate(negate(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f93,f679]) ).
fof(f792,plain,
! [X0,X1] : negate(X0) = add(negate(add(X1,X0)),negate(add(X0,negate(X1)))),
inference(paramodulation,[status(thm)],[f89,f748]) ).
fof(f827,plain,
negate(negate(b)) != b,
inference(backward_demodulation,[status(thm)],[f792,f27]) ).
fof(f847,plain,
b != b,
inference(forward_demodulation,[status(thm)],[f748,f827]) ).
fof(f848,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f847]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 04:23:45 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.14/0.36 % Drodi V4.1.1
% 1.06/0.59 % Refutation found
% 1.06/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.06/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.07/1.82 % Elapsed time: 1.241301 seconds
% 8.07/1.82 % CPU time: 1.444755 seconds
% 8.07/1.82 % Total memory used: 30.650 MB
% 8.07/1.82 % Net memory used: 29.952 MB
%------------------------------------------------------------------------------