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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET911+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n002.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 02:12:50 PM UTC 2026

% Result   : Theorem 0.03s 0.38s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET911+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n002.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
% 0.03/0.35  % DateTime : Mon Sep 21 05:45:47 UTC 2026
% 0.03/0.36  % CPUTime  : 
% 0.03/0.36  % Drodi V4.1.1
% 0.03/0.38  % Refutation found
% 0.03/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.03/0.38  % SZS output start CNFRefutation for theBenchmark
% 0.03/0.38  fof(f6,conjecture,(
% 0.03/0.38    (! [A,B] :( in(A,B)=> set_intersection2(B,singleton(A)) = singleton(A) ) )),
% 0.03/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.38  fof(f7,negated_conjecture,(
% 0.03/0.38    ~((! [A,B] :( in(A,B)=> set_intersection2(B,singleton(A)) = singleton(A) ) ))),
% 0.03/0.38    inference(negated_conjecture,[status(cth)],[f6])).
% 0.03/0.38  fof(f8,axiom,(
% 0.03/0.38    (! [A,B] :( in(A,B)=> set_intersection2(B,singleton(A)) = singleton(A) ) )),
% 0.03/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.38  fof(f18,plain,(
% 0.03/0.38    (?[A,B]: (in(A,B)&~set_intersection2(B,singleton(A))=singleton(A)))),
% 0.03/0.38    inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.03/0.38  fof(f19,plain,(
% 0.03/0.38    (in(sK2_skl,sK3_skl)&~set_intersection2(sK3_skl,singleton(sK2_skl))=singleton(sK2_skl))),
% 0.03/0.38    inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f18])).
% 0.03/0.38  fof(f20,plain,(
% 0.03/0.38    in(sK2_skl,sK3_skl)),
% 0.03/0.38    inference(cnf_transformation,[status(thm)],[f19])).
% 0.03/0.38  fof(f21,plain,(
% 0.03/0.38    ~set_intersection2(sK3_skl,singleton(sK2_skl))=singleton(sK2_skl)),
% 0.03/0.38    inference(cnf_transformation,[status(thm)],[f19])).
% 0.03/0.38  fof(f22,plain,(
% 0.03/0.38    ![A,B]: (~in(A,B)|set_intersection2(B,singleton(A))=singleton(A))),
% 0.03/0.38    inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.03/0.38  fof(f23,plain,(
% 0.03/0.38    ![X0,X1]: (~in(X0,X1)|set_intersection2(X1,singleton(X0))=singleton(X0))),
% 0.03/0.38    inference(cnf_transformation,[status(thm)],[f22])).
% 0.03/0.38  fof(f30,plain,(
% 0.03/0.38    set_intersection2(sK3_skl,singleton(sK2_skl))=singleton(sK2_skl)),
% 0.03/0.38    inference(resolution,[status(thm)],[f23,f20])).
% 0.03/0.38  fof(f31,plain,(
% 0.03/0.38    $false),
% 0.03/0.38    inference(forward_subsumption_resolution,[status(thm)],[f30,f21])).
% 0.03/0.38  % SZS output end CNFRefutation for theBenchmark.p
% 0.03/0.41  % Elapsed time: 0.045773 seconds
% 0.03/0.41  % CPU time: 0.145160 seconds
% 0.03/0.41  % Total memory used: 66.262 MB
% 0.03/0.41  % Net memory used: 65.699 MB
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