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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SEU424+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n007.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 02:22:37 PM UTC 2026

% Result   : Theorem 16.83s 6.12s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU424+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.40  % Computer : n007.cluster.edu
% 0.14/0.40  % Model    : x86_64 x86_64
% 0.14/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40  % Memory   : 8046.5625MB
% 0.14/0.40  % OS       : Linux 6.8.0-71-generic
% 0.14/0.41  % CPULimit : 300
% 0.14/0.41  % WCLimit  : 300
% 0.14/0.41  % DateTime : Mon Sep 21 06:24:39 UTC 2026
% 0.14/0.41  % CPUTime  : 
% 4.08/4.37  % Drodi V4.1.1
% 16.83/6.12  % Refutation found
% 16.83/6.12  % SZS status Theorem for theBenchmark: Theorem is valid
% 16.83/6.12  % SZS output start CNFRefutation for theBenchmark
% 16.83/6.12  fof(f19053,axiom,(
% 16.83/6.12    (! [A,B,C,D] :( ( ~ v1_xboole_0(A)& m1_subset_1(C,k1_zfmisc_1(A))& m2_relset_1(D,A,B) )=> m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) )),
% 16.83/6.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.83/6.12  fof(f19089,conjecture,(
% 16.83/6.12    (! [A] :( ~ v1_xboole_0(A)=> (! [B,C] :( m1_subset_1(C,k1_zfmisc_1(A))=> (! [D] :( m2_relset_1(D,A,B)=> m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) )) )) )),
% 16.83/6.12    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 16.83/6.12  fof(f19090,negated_conjecture,(
% 16.83/6.12    ~((! [A] :( ~ v1_xboole_0(A)=> (! [B,C] :( m1_subset_1(C,k1_zfmisc_1(A))=> (! [D] :( m2_relset_1(D,A,B)=> m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) )) )) ))),
% 16.83/6.12    inference(negated_conjecture,[status(cth)],[f19089])).
% 16.83/6.12  fof(f89181,plain,(
% 16.83/6.12    ![A,B,C,D]: (((v1_xboole_0(A)|~m1_subset_1(C,k1_zfmisc_1(A)))|~m2_relset_1(D,A,B))|m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))))),
% 16.83/6.12    inference(pre_NNF_transformation,[status(thm)],[f19053])).
% 16.83/6.12  fof(f89182,plain,(
% 16.83/6.12    ![X0,X1,X2,X3]: (v1_xboole_0(X0)|~m1_subset_1(X1,k1_zfmisc_1(X0))|~m2_relset_1(X2,X0,X3)|m1_subset_1(a_4_0_relset_2(X0,X3,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X3))))),
% 16.83/6.12    inference(cnf_transformation,[status(thm)],[f89181])).
% 16.83/6.12  fof(f89271,plain,(
% 16.83/6.12    (?[A]: (~v1_xboole_0(A)&(?[B,C]: (m1_subset_1(C,k1_zfmisc_1(A))&(?[D]: (m2_relset_1(D,A,B)&~m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B)))))))))),
% 16.83/6.12    inference(pre_NNF_transformation,[status(thm)],[f19090])).
% 16.83/6.12  fof(f89272,plain,(
% 16.83/6.12    ?[A]: (~v1_xboole_0(A)&(?[C]: (m1_subset_1(C,k1_zfmisc_1(A))&(?[B,D]: (m2_relset_1(D,A,B)&~m1_subset_1(a_4_0_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))))))))),
% 16.83/6.12    inference(miniscoping,[status(thm)],[f89271])).
% 16.83/6.12  fof(f89273,plain,(
% 16.83/6.12    (~v1_xboole_0(sK6522_skl)&(m1_subset_1(sK6523_skl,k1_zfmisc_1(sK6522_skl))&(m2_relset_1(sK6525_skl,sK6522_skl,sK6524_skl)&~m1_subset_1(a_4_0_relset_2(sK6522_skl,sK6524_skl,sK6523_skl,sK6525_skl),k1_zfmisc_1(k1_zfmisc_1(sK6524_skl))))))),
% 16.83/6.12    inference(skolemize,[status(esa),new_symbols(skolem,[sK6522_skl,sK6523_skl,sK6524_skl,sK6525_skl]),skolemize(A,sK6522_skl),skolemize(C,sK6523_skl),skolemize(B,sK6524_skl),skolemize(D,sK6525_skl)],[f89272])).
% 16.83/6.12  fof(f89274,plain,(
% 16.83/6.12    ~v1_xboole_0(sK6522_skl)),
% 16.83/6.12    inference(cnf_transformation,[status(thm)],[f89273])).
% 16.83/6.12  fof(f89275,plain,(
% 16.83/6.12    m1_subset_1(sK6523_skl,k1_zfmisc_1(sK6522_skl))),
% 16.83/6.12    inference(cnf_transformation,[status(thm)],[f89273])).
% 16.83/6.12  fof(f89276,plain,(
% 16.83/6.12    m2_relset_1(sK6525_skl,sK6522_skl,sK6524_skl)),
% 16.83/6.12    inference(cnf_transformation,[status(thm)],[f89273])).
% 16.83/6.12  fof(f89277,plain,(
% 16.83/6.12    ~m1_subset_1(a_4_0_relset_2(sK6522_skl,sK6524_skl,sK6523_skl,sK6525_skl),k1_zfmisc_1(k1_zfmisc_1(sK6524_skl)))),
% 16.83/6.12    inference(cnf_transformation,[status(thm)],[f89273])).
% 16.83/6.12  fof(f97048,plain,(
% 16.83/6.12    ![X0,X1]: (v1_xboole_0(sK6522_skl)|~m2_relset_1(X0,sK6522_skl,X1)|m1_subset_1(a_4_0_relset_2(sK6522_skl,X1,sK6523_skl,X0),k1_zfmisc_1(k1_zfmisc_1(X1))))),
% 16.83/6.12    inference(resolution,[status(thm)],[f89182,f89275])).
% 16.83/6.12  fof(f97050,plain,(
% 16.83/6.12    ![X0,X1]: (~m2_relset_1(X0,sK6522_skl,X1)|m1_subset_1(a_4_0_relset_2(sK6522_skl,X1,sK6523_skl,X0),k1_zfmisc_1(k1_zfmisc_1(X1))))),
% 16.83/6.12    inference(forward_subsumption_resolution,[status(thm)],[f97048,f89274])).
% 16.83/6.12  fof(f97105,plain,(
% 16.83/6.12    m1_subset_1(a_4_0_relset_2(sK6522_skl,sK6524_skl,sK6523_skl,sK6525_skl),k1_zfmisc_1(k1_zfmisc_1(sK6524_skl)))),
% 16.83/6.12    inference(resolution,[status(thm)],[f97050,f89276])).
% 16.83/6.12  fof(f97106,plain,(
% 16.83/6.12    $false),
% 16.83/6.12    inference(forward_subsumption_resolution,[status(thm)],[f97105,f89277])).
% 16.83/6.12  % SZS output end CNFRefutation for theBenchmark.p
% 4.52/6.42  % Elapsed time: 5.878960 seconds
% 4.52/6.42  % CPU time: 15.322697 seconds
% 4.52/6.42  % Total memory used: 5.291 GB
% 4.52/6.42  % Net memory used: 5.263 GB
%------------------------------------------------------------------------------