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Drodi-SAT---4.1.1.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SEU444+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -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 02:22:43 PM UTC 2026

% Result   : Theorem 0.17s 0.49s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SEU444+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44  % Computer : n006.cluster.edu
% 0.17/0.44  % Model    : x86_64 x86_64
% 0.17/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44  % Memory   : 8046.5625MB
% 0.17/0.44  % OS       : Linux 6.8.0-71-generic
% 0.17/0.44  % CPULimit : 300
% 0.17/0.44  % WCLimit  : 300
% 0.17/0.44  % DateTime : Mon Sep 21 06:32:57 UTC 2026
% 0.17/0.45  % CPUTime  : 
% 0.17/0.47  % Drodi V4.1.1
% 0.17/0.49  % Refutation found
% 0.17/0.49  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.49  % SZS output start CNFRefutation for theBenchmark
% 0.17/0.49  fof(f1,conjecture,(
% 0.17/0.49    (! [A,B,C] :( m2_relset_1(C,B,A)=> ( k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A)& k10_relset_1(A,B,k6_relset_1(B,A,C),k10_relset_1(B,A,C,B)) = k10_relset_1(A,B,k6_relset_1(B,A,C),k2_funct_5(C)) ) ) )),
% 0.17/0.49    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.49  fof(f2,negated_conjecture,(
% 0.17/0.49    ~((! [A,B,C] :( m2_relset_1(C,B,A)=> ( k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A)& k10_relset_1(A,B,k6_relset_1(B,A,C),k10_relset_1(B,A,C,B)) = k10_relset_1(A,B,k6_relset_1(B,A,C),k2_funct_5(C)) ) ) ))),
% 0.17/0.49    inference(negated_conjecture,[status(cth)],[f1])).
% 0.17/0.49  fof(f46,axiom,(
% 0.17/0.49    (! [A,B,C] :( m2_relset_1(C,B,A)=> ( k1_funct_5(C) = k10_relset_1(A,B,k6_relset_1(B,A,C),A)& k2_funct_5(C) = k10_relset_1(B,A,C,B) ) ) )),
% 0.17/0.49    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.49  fof(f47,plain,(
% 0.17/0.49    (?[A,B,C]: (m2_relset_1(C,B,A)&(~k1_funct_5(C)=k10_relset_1(A,B,k6_relset_1(B,A,C),A)|~k10_relset_1(A,B,k6_relset_1(B,A,C),k10_relset_1(B,A,C,B))=k10_relset_1(A,B,k6_relset_1(B,A,C),k2_funct_5(C)))))),
% 0.17/0.49    inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.17/0.49  fof(f48,plain,(
% 0.17/0.49    (m2_relset_1(sK2_skl,sK1_skl,sK0_skl)&(~k1_funct_5(sK2_skl)=k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),sK0_skl)|~k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),k10_relset_1(sK1_skl,sK0_skl,sK2_skl,sK1_skl))=k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),k2_funct_5(sK2_skl))))),
% 0.17/0.49    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(C,sK2_skl)],[f47])).
% 0.17/0.49  fof(f49,plain,(
% 0.17/0.49    m2_relset_1(sK2_skl,sK1_skl,sK0_skl)),
% 0.17/0.49    inference(cnf_transformation,[status(thm)],[f48])).
% 0.17/0.49  fof(f50,plain,(
% 0.17/0.49    ~k1_funct_5(sK2_skl)=k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),sK0_skl)|~k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),k10_relset_1(sK1_skl,sK0_skl,sK2_skl,sK1_skl))=k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),k2_funct_5(sK2_skl))),
% 0.17/0.49    inference(cnf_transformation,[status(thm)],[f48])).
% 0.17/0.49  fof(f138,plain,(
% 0.17/0.49    ![A,B,C]: (~m2_relset_1(C,B,A)|(k1_funct_5(C)=k10_relset_1(A,B,k6_relset_1(B,A,C),A)&k2_funct_5(C)=k10_relset_1(B,A,C,B)))),
% 0.17/0.49    inference(pre_NNF_transformation,[status(thm)],[f46])).
% 0.17/0.49  fof(f139,plain,(
% 0.17/0.49    ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|k1_funct_5(X0)=k10_relset_1(X2,X1,k6_relset_1(X1,X2,X0),X2))),
% 0.17/0.49    inference(cnf_transformation,[status(thm)],[f138])).
% 0.17/0.49  fof(f140,plain,(
% 0.17/0.49    ![X0,X1,X2]: (~m2_relset_1(X0,X1,X2)|k2_funct_5(X0)=k10_relset_1(X1,X2,X0,X1))),
% 0.17/0.49    inference(cnf_transformation,[status(thm)],[f138])).
% 0.17/0.49  fof(f146,plain,(
% 0.17/0.49    k1_funct_5(sK2_skl)=k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),sK0_skl)),
% 0.17/0.49    inference(resolution,[status(thm)],[f139,f49])).
% 0.17/0.49  fof(f149,plain,(
% 0.17/0.49    ~k1_funct_5(sK2_skl)=k1_funct_5(sK2_skl)|~k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),k10_relset_1(sK1_skl,sK0_skl,sK2_skl,sK1_skl))=k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),k2_funct_5(sK2_skl))),
% 0.17/0.49    inference(backward_demodulation,[status(thm)],[f146,f50])).
% 0.17/0.49  fof(f150,plain,(
% 0.17/0.49    ~k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),k10_relset_1(sK1_skl,sK0_skl,sK2_skl,sK1_skl))=k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),k2_funct_5(sK2_skl))),
% 0.17/0.49    inference(trivial_equality_resolution,[status(thm)],[f149])).
% 0.17/0.49  fof(f152,plain,(
% 0.17/0.49    k2_funct_5(sK2_skl)=k10_relset_1(sK1_skl,sK0_skl,sK2_skl,sK1_skl)),
% 0.17/0.49    inference(resolution,[status(thm)],[f140,f49])).
% 0.17/0.49  fof(f158,plain,(
% 0.17/0.49    ~k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),k2_funct_5(sK2_skl))=k10_relset_1(sK0_skl,sK1_skl,k6_relset_1(sK1_skl,sK0_skl,sK2_skl),k2_funct_5(sK2_skl))),
% 0.17/0.49    inference(backward_demodulation,[status(thm)],[f152,f150])).
% 0.17/0.49  fof(f159,plain,(
% 0.17/0.49    $false),
% 0.17/0.49    inference(trivial_equality_resolution,[status(thm)],[f158])).
% 0.17/0.49  % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.55  % Elapsed time: 0.092608 seconds
% 0.17/0.55  % CPU time: 0.107183 seconds
% 0.17/0.55  % Total memory used: 7.682 MB
% 0.17/0.55  % Net memory used: 7.680 MB
%------------------------------------------------------------------------------