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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SET904+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 : n010.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 0.14s 0.38s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET904+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
% 0.10/0.35  % Computer : n010.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 : Mon Sep 21 05:43:40 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.14/0.36  % Drodi V4.1.1
% 0.14/0.38  % Refutation found
% 0.14/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38  % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38  fof(f9,conjecture,(
% 0.14/0.38    (! [A,B] :( subset(set_union2(singleton(A),B),B)=> in(A,B) ) )),
% 0.14/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38  fof(f10,negated_conjecture,(
% 0.14/0.38    ~((! [A,B] :( subset(set_union2(singleton(A),B),B)=> in(A,B) ) ))),
% 0.14/0.38    inference(negated_conjecture,[status(cth)],[f9])).
% 0.14/0.38  fof(f11,axiom,(
% 0.14/0.38    (! [A,B] :( subset(set_union2(singleton(A),B),B)=> in(A,B) ) )),
% 0.14/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.38  fof(f29,plain,(
% 0.14/0.38    (?[A,B]: (subset(set_union2(singleton(A),B),B)&~in(A,B)))),
% 0.14/0.38    inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.14/0.38  fof(f30,plain,(
% 0.14/0.38    (subset(set_union2(singleton(sK2_skl),sK3_skl),sK3_skl)&~in(sK2_skl,sK3_skl))),
% 0.14/0.38    inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl)],[f29])).
% 0.14/0.38  fof(f31,plain,(
% 0.14/0.38    subset(set_union2(singleton(sK2_skl),sK3_skl),sK3_skl)),
% 0.14/0.38    inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.38  fof(f32,plain,(
% 0.14/0.38    ~in(sK2_skl,sK3_skl)),
% 0.14/0.38    inference(cnf_transformation,[status(thm)],[f30])).
% 0.14/0.38  fof(f33,plain,(
% 0.14/0.38    ![A,B]: (~subset(set_union2(singleton(A),B),B)|in(A,B))),
% 0.14/0.38    inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.14/0.38  fof(f34,plain,(
% 0.14/0.38    ![X0,X1]: (~subset(set_union2(singleton(X0),X1),X1)|in(X0,X1))),
% 0.14/0.38    inference(cnf_transformation,[status(thm)],[f33])).
% 0.14/0.38  fof(f41,plain,(
% 0.14/0.38    in(sK2_skl,sK3_skl)),
% 0.14/0.38    inference(resolution,[status(thm)],[f34,f31])).
% 0.14/0.38  fof(f45,plain,(
% 0.14/0.38    $false),
% 0.14/0.38    inference(forward_subsumption_resolution,[status(thm)],[f41,f32])).
% 0.14/0.38  % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40  % Elapsed time: 0.036472 seconds
% 0.14/0.40  % CPU time: 0.120177 seconds
% 0.14/0.40  % Total memory used: 51.838 MB
% 0.14/0.40  % Net memory used: 51.450 MB
%------------------------------------------------------------------------------