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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET913+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n017.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 02:12:51 PM UTC 2026

% Result   : Theorem 0.09s 0.36s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET913+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.33  % Computer : n017.cluster.edu
% 0.09/0.33  % Model    : x86_64 x86_64
% 0.09/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33  % Memory   : 8046.5625MB
% 0.09/0.33  % OS       : Linux 6.8.0-71-generic
% 0.09/0.33  % CPULimit : 300
% 0.09/0.33  % WCLimit  : 300
% 0.09/0.33  % DateTime : Mon Sep 21 05:38:56 UTC 2026
% 0.09/0.34  % CPUTime  : 
% 0.09/0.35  % Drodi V4.1.1
% 0.09/0.36  % Refutation found
% 0.09/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.36  % SZS output start CNFRefutation for theBenchmark
% 0.09/0.36  fof(f5,conjecture,(
% 0.09/0.36    (! [A,B] :~ ( disjoint(singleton(A),B)& in(A,B) ) )),
% 0.09/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.36  fof(f6,negated_conjecture,(
% 0.09/0.36    ~((! [A,B] :~ ( disjoint(singleton(A),B)& in(A,B) ) ))),
% 0.09/0.36    inference(negated_conjecture,[status(cth)],[f5])).
% 0.09/0.36  fof(f7,axiom,(
% 0.09/0.36    (! [A,B] :~ ( disjoint(singleton(A),B)& in(A,B) ) )),
% 0.09/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.36  fof(f16,plain,(
% 0.09/0.36    (?[A,B]: (disjoint(singleton(A),B)&in(A,B)))),
% 0.09/0.36    inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.09/0.36  fof(f17,plain,(
% 0.09/0.36    (disjoint(singleton(sK2_skl),sK3_skl)&in(sK2_skl,sK3_skl))),
% 0.09/0.36    inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f16])).
% 0.09/0.36  fof(f18,plain,(
% 0.09/0.36    disjoint(singleton(sK2_skl),sK3_skl)),
% 0.09/0.36    inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.36  fof(f19,plain,(
% 0.09/0.36    in(sK2_skl,sK3_skl)),
% 0.09/0.36    inference(cnf_transformation,[status(thm)],[f17])).
% 0.09/0.36  fof(f20,plain,(
% 0.09/0.36    ![A,B]: (~disjoint(singleton(A),B)|~in(A,B))),
% 0.09/0.36    inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.09/0.36  fof(f21,plain,(
% 0.09/0.36    ![X0,X1]: (~disjoint(singleton(X0),X1)|~in(X0,X1))),
% 0.09/0.36    inference(cnf_transformation,[status(thm)],[f20])).
% 0.09/0.36  fof(f24,plain,(
% 0.09/0.36    ~in(sK2_skl,sK3_skl)),
% 0.09/0.36    inference(resolution,[status(thm)],[f21,f18])).
% 0.09/0.36  fof(f25,plain,(
% 0.09/0.36    $false),
% 0.09/0.36    inference(forward_subsumption_resolution,[status(thm)],[f24,f19])).
% 0.09/0.36  % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.38  % Elapsed time: 0.038659 seconds
% 0.09/0.38  % CPU time: 0.106165 seconds
% 0.09/0.38  % Total memory used: 36.282 MB
% 0.09/0.38  % Net memory used: 35.887 MB
%------------------------------------------------------------------------------