%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ROB011-1 : 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 02:06:32 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 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,axiom,
! [X] : multiply(one,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,hypothesis,
negate(add(a,negate(b))) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
negate(add(a,negate(add(b,multiply(one,add(a,c)))))) != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f11,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f12,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f13,plain,
! [X0] : multiply(one,X0) = X0,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f18,plain,
negate(add(a,negate(b))) = c,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f19,plain,
negate(add(a,negate(add(b,multiply(one,add(a,c)))))) != c,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
negate(add(a,negate(add(b,add(a,c))))) != c,
inference(forward_demodulation,[status(thm)],[f13,f19]) ).
fof(f21,plain,
negate(add(a,negate(add(b,add(c,a))))) != c,
inference(forward_demodulation,[status(thm)],[f10,f20]) ).
fof(f26,plain,
! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X1,add(X2,X0)),
inference(paramodulation,[status(thm)],[f10,f11]) ).
fof(f33,plain,
negate(add(a,negate(add(c,add(a,b))))) != c,
inference(backward_demodulation,[status(thm)],[f26,f21]) ).
fof(f38,plain,
negate(add(a,negate(add(c,add(b,a))))) != c,
inference(forward_demodulation,[status(thm)],[f10,f33]) ).
fof(f374,plain,
negate(add(negate(add(a,b)),c)) = a,
inference(paramodulation,[status(thm)],[f18,f12]) ).
fof(f383,plain,
negate(add(c,negate(add(a,b)))) = a,
inference(forward_demodulation,[status(thm)],[f10,f374]) ).
fof(f384,plain,
negate(add(c,negate(add(b,a)))) = a,
inference(forward_demodulation,[status(thm)],[f10,f383]) ).
fof(f388,plain,
negate(add(negate(add(c,add(b,a))),a)) = c,
inference(paramodulation,[status(thm)],[f384,f12]) ).
fof(f391,plain,
negate(add(a,negate(add(c,add(b,a))))) = c,
inference(forward_demodulation,[status(thm)],[f10,f388]) ).
fof(f392,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f391,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 04:24:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.46 % Refutation found
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.47 % Elapsed time: 0.097673 seconds
% 0.10/0.47 % CPU time: 0.531918 seconds
% 0.10/0.47 % Total memory used: 73.006 MB
% 0.10/0.47 % Net memory used: 72.677 MB
%------------------------------------------------------------------------------