%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : RNG011-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 02:04:40 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.37s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 13 unt; 3 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-3 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X,Y] : multiply(multiply(associator(X,X,Y),X),associator(X,X,Y)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
multiply(multiply(associator(a,a,b),a),associator(a,a,b)) != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,plain,
! [X0,X1] : multiply(multiply(associator(X0,X0,X1),X0),associator(X0,X0,X1)) = additive_identity,
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f44,plain,
multiply(multiply(associator(a,a,b),a),associator(a,a,b)) != additive_identity,
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f45,definition,
sF2_fnc = associator(a,a,b),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f46,definition,
sF1_fnc = multiply(sF2_fnc,a),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f47,definition,
sF0_fnc = multiply(sF1_fnc,sF2_fnc),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f48,plain,
sF0_fnc != additive_identity,
inference(definition_folding,[],[f44,f47,f46,f45]) ).
fof(f74,plain,
multiply(multiply(sF2_fnc,a),associator(a,a,b)) = additive_identity,
inference(paramodulation,[status(thm)],[f45,f43]) ).
fof(f77,plain,
multiply(sF1_fnc,associator(a,a,b)) = additive_identity,
inference(forward_demodulation,[status(thm)],[f46,f74]) ).
fof(f78,plain,
multiply(sF1_fnc,sF2_fnc) = additive_identity,
inference(forward_demodulation,[status(thm)],[f45,f77]) ).
fof(f79,plain,
sF0_fnc = additive_identity,
inference(forward_demodulation,[status(thm)],[f47,f78]) ).
fof(f80,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f79,f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG011-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 04:11:32 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.41 % Elapsed time: 0.048962 seconds
% 0.16/0.41 % CPU time: 0.038966 seconds
% 0.16/0.41 % Total memory used: 460.240 KB
% 0.16/0.41 % Net memory used: 448.848 KB
%------------------------------------------------------------------------------