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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SEU429+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 : n019.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 02:22:39 PM UTC 2026

% Result   : Theorem 0.09s 0.40s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU429+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n019.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 06:28:19 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.38  % Drodi V4.1.1
% 0.09/0.40  % Refutation found
% 0.09/0.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40  % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40  fof(f1,conjecture,(
% 0.09/0.40    (! [A] :( ~ v1_xboole_0(A)=> (! [B,C] :( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))=> (! [D] :( m2_relset_1(D,A,B)=> m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) )) )) )),
% 0.09/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40  fof(f2,negated_conjecture,(
% 0.09/0.40    ~((! [A] :( ~ v1_xboole_0(A)=> (! [B,C] :( m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))=> (! [D] :( m2_relset_1(D,A,B)=> m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) )) )) ))),
% 0.09/0.40    inference(negated_conjecture,[status(cth)],[f1])).
% 0.09/0.40  fof(f43,axiom,(
% 0.09/0.40    (! [A,B,C,D] :( ( ~ v1_xboole_0(A)& m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))& m2_relset_1(D,A,B) )=> m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))) ) )),
% 0.09/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40  fof(f53,plain,(
% 0.09/0.40    (?[A]: (~v1_xboole_0(A)&(?[B,C]: (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))&(?[D]: (m2_relset_1(D,A,B)&~m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B)))))))))),
% 0.09/0.40    inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.09/0.40  fof(f54,plain,(
% 0.09/0.40    ?[A]: (~v1_xboole_0(A)&(?[C]: (m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A)))&(?[B,D]: (m2_relset_1(D,A,B)&~m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))))))))),
% 0.09/0.40    inference(miniscoping,[status(thm)],[f53])).
% 0.09/0.40  fof(f55,plain,(
% 0.09/0.40    (~v1_xboole_0(sK0_skl)&(m1_subset_1(sK1_skl,k1_zfmisc_1(k1_zfmisc_1(sK0_skl)))&(m2_relset_1(sK3_skl,sK0_skl,sK2_skl)&~m1_subset_1(a_4_1_relset_2(sK0_skl,sK2_skl,sK1_skl,sK3_skl),k1_zfmisc_1(k1_zfmisc_1(sK2_skl))))))),
% 0.09/0.40    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(A,sK0_skl),skolemize(C,sK1_skl),skolemize(B,sK2_skl),skolemize(D,sK3_skl)],[f54])).
% 0.09/0.40  fof(f56,plain,(
% 0.09/0.40    ~v1_xboole_0(sK0_skl)),
% 0.09/0.40    inference(cnf_transformation,[status(thm)],[f55])).
% 0.09/0.40  fof(f57,plain,(
% 0.09/0.40    m1_subset_1(sK1_skl,k1_zfmisc_1(k1_zfmisc_1(sK0_skl)))),
% 0.09/0.40    inference(cnf_transformation,[status(thm)],[f55])).
% 0.09/0.40  fof(f58,plain,(
% 0.09/0.40    m2_relset_1(sK3_skl,sK0_skl,sK2_skl)),
% 0.09/0.40    inference(cnf_transformation,[status(thm)],[f55])).
% 0.09/0.40  fof(f59,plain,(
% 0.09/0.40    ~m1_subset_1(a_4_1_relset_2(sK0_skl,sK2_skl,sK1_skl,sK3_skl),k1_zfmisc_1(k1_zfmisc_1(sK2_skl)))),
% 0.09/0.40    inference(cnf_transformation,[status(thm)],[f55])).
% 0.09/0.40  fof(f148,plain,(
% 0.09/0.40    ![A,B,C,D]: (((v1_xboole_0(A)|~m1_subset_1(C,k1_zfmisc_1(k1_zfmisc_1(A))))|~m2_relset_1(D,A,B))|m1_subset_1(a_4_1_relset_2(A,B,C,D),k1_zfmisc_1(k1_zfmisc_1(B))))),
% 0.09/0.40    inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.09/0.40  fof(f149,plain,(
% 0.09/0.40    ![X0,X1,X2,X3]: (v1_xboole_0(X0)|~m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))|~m2_relset_1(X2,X0,X3)|m1_subset_1(a_4_1_relset_2(X0,X3,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X3))))),
% 0.09/0.40    inference(cnf_transformation,[status(thm)],[f148])).
% 0.09/0.40  fof(f179,plain,(
% 0.09/0.40    ![X0,X1]: (v1_xboole_0(sK0_skl)|~m2_relset_1(X0,sK0_skl,X1)|m1_subset_1(a_4_1_relset_2(sK0_skl,X1,sK1_skl,X0),k1_zfmisc_1(k1_zfmisc_1(X1))))),
% 0.09/0.40    inference(resolution,[status(thm)],[f149,f57])).
% 0.09/0.40  fof(f180,plain,(
% 0.09/0.40    ![X0,X1]: (~m2_relset_1(X0,sK0_skl,X1)|m1_subset_1(a_4_1_relset_2(sK0_skl,X1,sK1_skl,X0),k1_zfmisc_1(k1_zfmisc_1(X1))))),
% 0.09/0.40    inference(forward_subsumption_resolution,[status(thm)],[f179,f56])).
% 0.09/0.40  fof(f185,plain,(
% 0.09/0.40    m1_subset_1(a_4_1_relset_2(sK0_skl,sK2_skl,sK1_skl,sK3_skl),k1_zfmisc_1(k1_zfmisc_1(sK2_skl)))),
% 0.09/0.40    inference(resolution,[status(thm)],[f180,f58])).
% 0.09/0.40  fof(f186,plain,(
% 0.09/0.40    $false),
% 0.09/0.40    inference(forward_subsumption_resolution,[status(thm)],[f185,f59])).
% 0.09/0.40  % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.44  % Elapsed time: 0.052726 seconds
% 0.09/0.44  % CPU time: 0.150511 seconds
% 0.09/0.44  % Total memory used: 82.206 MB
% 0.09/0.44  % Net memory used: 82.172 MB
%------------------------------------------------------------------------------