%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ROB008-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 0.04s 0.41s
% Output : CNFRefutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 16 unt; 1 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 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 : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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,
negate(add(a,negate(add(b,c)))) = negate(add(a,add(b,negate(c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
add(a,b) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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,
negate(add(a,negate(add(b,c)))) = negate(add(a,add(b,negate(c)))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
add(a,b) != a,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f11,definition,
sF0_fnc = add(a,b),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f12,plain,
sF0_fnc != a,
inference(definition_folding,[],[f10,f11]) ).
fof(f25,plain,
! [X0] : add(sF0_fnc,X0) = add(a,add(b,X0)),
inference(paramodulation,[status(thm)],[f11,f7]) ).
fof(f1202,plain,
negate(add(a,negate(add(b,c)))) = negate(add(sF0_fnc,negate(c))),
inference(forward_demodulation,[status(thm)],[f25,f9]) ).
fof(f1205,plain,
negate(add(negate(add(a,add(b,c))),negate(add(sF0_fnc,negate(c))))) = a,
inference(paramodulation,[status(thm)],[f1202,f8]) ).
fof(f1208,plain,
negate(add(negate(add(sF0_fnc,c)),negate(add(sF0_fnc,negate(c))))) = a,
inference(forward_demodulation,[status(thm)],[f25,f1205]) ).
fof(f1209,plain,
sF0_fnc = a,
inference(forward_demodulation,[status(thm)],[f8,f1208]) ).
fof(f1210,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1209,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Computer : n006.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8046.5625MB
% 0.13/0.36 % OS : Linux 6.8.0-71-generic
% 0.04/0.36 % CPULimit : 300
% 0.04/0.36 % WCLimit : 300
% 0.04/0.36 % DateTime : Mon Sep 21 04:23:12 UTC 2026
% 0.04/0.37 % CPUTime :
% 0.04/0.37 % Drodi V4.1.1
% 0.04/0.41 % Refutation found
% 0.04/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.04/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.44/1.63 % Elapsed time: 1.048860 seconds
% 1.44/1.63 % CPU time: 0.131367 seconds
% 1.44/1.63 % Total memory used: 2.688 MB
% 1.44/1.63 % Net memory used: 2.650 MB
%------------------------------------------------------------------------------