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Drodi-SAT---4.1.1.UNS-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : FLD023-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n019.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 12:22:20 PM UTC 2026

% Result   : Unsatisfiable 0.15s 5.44s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : FLD023-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.38  % Computer : n019.cluster.edu
% 0.10/5.38  % Model    : x86_64 x86_64
% 0.10/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38  % Memory   : 8046.5625MB
% 0.10/5.38  % OS       : Linux 6.8.0-71-generic
% 0.10/5.38  % CPULimit : 300
% 0.10/5.38  % WCLimit  : 300
% 0.10/5.38  % DateTime : Mon Sep 21 15:38:41 UTC 2026
% 0.10/5.38  % CPUTime  : 
% 0.10/5.39  % Drodi V4.1.1
% 0.15/5.44  % Refutation found
% 0.15/5.44  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.44  % SZS output start CNFRefutation for theBenchmark
% 0.15/5.44  fof(f1,axiom,(
% 0.15/5.44    (![X,V,W,Y,U,Z]: (( sum(X,V,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W) ) ))),
% 0.15/5.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.44  fof(f3,axiom,(
% 0.15/5.44    (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 0.15/5.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.44  fof(f4,axiom,(
% 0.15/5.44    (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 0.15/5.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.44  fof(f5,axiom,(
% 0.15/5.44    (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 0.15/5.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.44  fof(f14,axiom,(
% 0.15/5.44    defined(additive_identity) ),
% 0.15/5.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.44  fof(f27,hypothesis,(
% 0.15/5.44    defined(a) ),
% 0.15/5.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.44  fof(f29,negated_conjecture,(
% 0.15/5.44    sum(additive_identity,a,b) ),
% 0.15/5.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.44  fof(f30,negated_conjecture,(
% 0.15/5.44    ~ sum(b,additive_inverse(a),additive_identity) ),
% 0.15/5.44    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.44  fof(f31,plain,(
% 0.15/5.44    ![W,U,Z]: ((![V,Y]: ((![X]: (sum(X,V,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(U,Z,W))),
% 0.15/5.44    inference(miniscoping,[status(thm)],[f1])).
% 0.15/5.44  fof(f32,plain,(
% 0.15/5.44    ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X0,X3,X4)|~sum(X3,X5,X1)|~sum(X4,X5,X2))),
% 0.15/5.44    inference(cnf_transformation,[status(thm)],[f31])).
% 0.15/5.44  fof(f35,plain,(
% 0.15/5.44    ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 0.15/5.44    inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/5.44  fof(f36,plain,(
% 0.15/5.44    ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 0.15/5.44    inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/5.44  fof(f37,plain,(
% 0.15/5.44    ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 0.15/5.44    inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/5.44  fof(f51,plain,(
% 0.15/5.44    defined(additive_identity)),
% 0.15/5.44    inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/5.44  fof(f70,plain,(
% 0.15/5.44    defined(a)),
% 0.15/5.44    inference(cnf_transformation,[status(thm)],[f27])).
% 0.15/5.44  fof(f72,plain,(
% 0.15/5.44    sum(additive_identity,a,b)),
% 0.15/5.44    inference(cnf_transformation,[status(thm)],[f29])).
% 0.15/5.44  fof(f73,plain,(
% 0.15/5.44    ~sum(b,additive_inverse(a),additive_identity)),
% 0.15/5.44    inference(cnf_transformation,[status(thm)],[f30])).
% 0.15/5.44  fof(f84,plain,(
% 0.15/5.44    sum(additive_identity,additive_identity,additive_identity)),
% 0.15/5.44    inference(resolution,[status(thm)],[f35,f51])).
% 0.15/5.44  fof(f101,plain,(
% 0.15/5.44    sum(additive_inverse(a),a,additive_identity)),
% 0.15/5.44    inference(resolution,[status(thm)],[f36,f70])).
% 0.15/5.44  fof(f103,plain,(
% 0.15/5.44    sum(a,additive_identity,b)),
% 0.15/5.44    inference(resolution,[status(thm)],[f37,f72])).
% 0.15/5.44  fof(f542,plain,(
% 0.15/5.44    ![X0,X1,X2]: (sum(X0,b,X1)|~sum(X0,a,X2)|~sum(X2,additive_identity,X1))),
% 0.15/5.44    inference(resolution,[status(thm)],[f103,f32])).
% 0.15/5.44  fof(f600,plain,(
% 0.15/5.44    ![X0]: (sum(X0,b,additive_identity)|~sum(X0,a,additive_identity))),
% 0.15/5.44    inference(resolution,[status(thm)],[f84,f542])).
% 0.15/5.44  fof(f1317,plain,(
% 0.15/5.44    sum(additive_inverse(a),b,additive_identity)),
% 0.15/5.44    inference(resolution,[status(thm)],[f101,f600])).
% 0.15/5.44  fof(f1407,plain,(
% 0.15/5.44    sum(b,additive_inverse(a),additive_identity)),
% 0.15/5.44    inference(resolution,[status(thm)],[f1317,f37])).
% 0.15/5.44  fof(f1414,plain,(
% 0.15/5.44    $false),
% 0.15/5.44    inference(forward_subsumption_resolution,[status(thm)],[f1407,f73])).
% 0.15/5.44  % SZS output end CNFRefutation for theBenchmark.p
% 0.15/5.45  % Elapsed time: 0.068310 seconds
% 0.15/5.45  % CPU time: 0.355064 seconds
% 0.15/5.45  % Total memory used: 22.185 MB
% 0.15/5.45  % Net memory used: 21.819 MB
%------------------------------------------------------------------------------