%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP544-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 12:34:38 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.37s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 39 unt; 2 def)
% Number of atoms : 39 ( 38 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 : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(identity,divide(divide(divide(A,B),C),A)),C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,divide(identity,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = divide(identity,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = divide(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : divide(divide(identity,divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
! [X0] : inverse(X0) = divide(identity,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f9,plain,
! [X0] : identity = divide(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
multiply(a,b) != multiply(b,a),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f11,definition,
sF0_fnc = multiply(a,b),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f12,definition,
sF1_fnc = multiply(b,a),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f13,plain,
sF0_fnc != sF1_fnc,
inference(definition_folding,[],[f10,f12,f11]) ).
fof(f18,plain,
! [X0] : identity = multiply(divide(identity,X0),X0),
inference(paramodulation,[status(thm)],[f7,f9]) ).
fof(f19,plain,
! [X0] : multiply(X0,identity) = divide(X0,identity),
inference(paramodulation,[status(thm)],[f9,f7]) ).
fof(f24,plain,
identity = multiply(identity,identity),
inference(paramodulation,[status(thm)],[f9,f18]) ).
fof(f121,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f122,plain,
inverse(identity) = multiply(identity,identity),
inference(paramodulation,[status(thm)],[f19,f8]) ).
fof(f126,plain,
inverse(identity) = identity,
inference(forward_demodulation,[status(thm)],[f24,f122]) ).
fof(f129,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f121]) ).
fof(f140,plain,
! [X0,X1,X2] : divide(inverse(divide(divide(divide(X0,X1),X2),X0)),X2) = X1,
inference(forward_demodulation,[status(thm)],[f8,f6]) ).
fof(f141,plain,
! [X0,X1,X2] : multiply(inverse(divide(divide(divide(X0,X1),inverse(X2)),X0)),X2) = X1,
inference(paramodulation,[status(thm)],[f121,f140]) ).
fof(f147,plain,
! [X0,X1] : divide(inverse(divide(identity,X0)),divide(X0,X1)) = X1,
inference(paramodulation,[status(thm)],[f9,f140]) ).
fof(f155,plain,
! [X0,X1,X2] : multiply(inverse(divide(multiply(divide(X0,X1),X2),X0)),X2) = X1,
inference(forward_demodulation,[status(thm)],[f121,f141]) ).
fof(f160,plain,
! [X0,X1] : divide(inverse(inverse(X0)),divide(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f147]) ).
fof(f166,plain,
! [X0] : divide(inverse(identity),divide(identity,X0)) = X0,
inference(paramodulation,[status(thm)],[f126,f160]) ).
fof(f174,plain,
! [X0] : divide(identity,divide(identity,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f126,f166]) ).
fof(f175,plain,
! [X0] : inverse(divide(identity,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f174]) ).
fof(f176,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f175]) ).
fof(f183,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(backward_demodulation,[status(thm)],[f176,f160]) ).
fof(f184,plain,
! [X0] : multiply(identity,X0) = X0,
inference(backward_demodulation,[status(thm)],[f176,f129]) ).
fof(f193,plain,
! [X0,X1] : divide(X0,multiply(X0,X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f121,f183]) ).
fof(f210,plain,
! [X0,X1] : multiply(inverse(divide(multiply(identity,X0),X1)),X0) = X1,
inference(paramodulation,[status(thm)],[f9,f155]) ).
fof(f214,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f184,f210]) ).
fof(f313,plain,
divide(b,sF1_fnc) = inverse(a),
inference(paramodulation,[status(thm)],[f12,f193]) ).
fof(f333,plain,
multiply(inverse(inverse(a)),b) = sF1_fnc,
inference(paramodulation,[status(thm)],[f313,f214]) ).
fof(f346,plain,
multiply(a,b) = sF1_fnc,
inference(forward_demodulation,[status(thm)],[f176,f333]) ).
fof(f347,plain,
sF0_fnc = sF1_fnc,
inference(forward_demodulation,[status(thm)],[f11,f346]) ).
fof(f348,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f347,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP544-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n011.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 20:16:26 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.10/0.37 % Refutation found
% 0.10/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39 % Elapsed time: 0.027075 seconds
% 0.13/0.39 % CPU time: 0.040575 seconds
% 0.13/0.39 % Total memory used: 1.985 MB
% 0.13/0.39 % Net memory used: 1.951 MB
%------------------------------------------------------------------------------