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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SEU429+3 : 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 : n015.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 14.72s 4.93s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU429+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37  % Computer : n015.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 21 06:31:43 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 3.16/3.41  % Drodi V4.1.1
% 14.72/4.93  % Refutation found
% 14.72/4.93  % SZS status Theorem for theBenchmark: Theorem is valid
% 14.72/4.93  % SZS output start CNFRefutation for theBenchmark
% 14.72/4.93  fof(f19053,axiom,(
% 14.72/4.93    (! [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))) ) )),
% 14.72/4.93    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.72/4.93  fof(f19101,conjecture,(
% 14.72/4.93    (! [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))) ) )) )) )),
% 14.72/4.93    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.72/4.93  fof(f19102,negated_conjecture,(
% 14.72/4.93    ~((! [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))) ) )) )) ))),
% 14.72/4.93    inference(negated_conjecture,[status(cth)],[f19101])).
% 14.72/4.93  fof(f89193,plain,(
% 14.72/4.93    ![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))))),
% 14.72/4.93    inference(pre_NNF_transformation,[status(thm)],[f19053])).
% 14.72/4.93  fof(f89194,plain,(
% 14.72/4.93    ![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))))),
% 14.72/4.93    inference(cnf_transformation,[status(thm)],[f89193])).
% 14.72/4.93  fof(f89330,plain,(
% 14.72/4.93    (?[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)))))))))),
% 14.72/4.93    inference(pre_NNF_transformation,[status(thm)],[f19102])).
% 14.72/4.93  fof(f89331,plain,(
% 14.72/4.93    ?[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))))))))),
% 14.72/4.93    inference(miniscoping,[status(thm)],[f89330])).
% 14.72/4.93  fof(f89332,plain,(
% 14.72/4.93    (~v1_xboole_0(sK6524_skl)&(m1_subset_1(sK6525_skl,k1_zfmisc_1(k1_zfmisc_1(sK6524_skl)))&(m2_relset_1(sK6527_skl,sK6524_skl,sK6526_skl)&~m1_subset_1(a_4_1_relset_2(sK6524_skl,sK6526_skl,sK6525_skl,sK6527_skl),k1_zfmisc_1(k1_zfmisc_1(sK6526_skl))))))),
% 14.72/4.93    inference(skolemize,[status(esa),new_symbols(skolem,[sK6524_skl,sK6525_skl,sK6526_skl,sK6527_skl]),skolemize(A,sK6524_skl),skolemize(C,sK6525_skl),skolemize(B,sK6526_skl),skolemize(D,sK6527_skl)],[f89331])).
% 14.72/4.93  fof(f89333,plain,(
% 14.72/4.93    ~v1_xboole_0(sK6524_skl)),
% 14.72/4.93    inference(cnf_transformation,[status(thm)],[f89332])).
% 14.72/4.93  fof(f89334,plain,(
% 14.72/4.93    m1_subset_1(sK6525_skl,k1_zfmisc_1(k1_zfmisc_1(sK6524_skl)))),
% 14.72/4.93    inference(cnf_transformation,[status(thm)],[f89332])).
% 14.72/4.93  fof(f89335,plain,(
% 14.72/4.93    m2_relset_1(sK6527_skl,sK6524_skl,sK6526_skl)),
% 14.72/4.93    inference(cnf_transformation,[status(thm)],[f89332])).
% 14.72/4.93  fof(f89336,plain,(
% 14.72/4.93    ~m1_subset_1(a_4_1_relset_2(sK6524_skl,sK6526_skl,sK6525_skl,sK6527_skl),k1_zfmisc_1(k1_zfmisc_1(sK6526_skl)))),
% 14.72/4.93    inference(cnf_transformation,[status(thm)],[f89332])).
% 14.72/4.93  fof(f107100,definition,(
% 14.72/4.93    sQ2485_spl <=> (v1_xboole_0(sK6524_skl))),
% 14.72/4.93    introduced(definition,[new_symbols(definition,[sQ2485_spl])],[split_symbol_definition])).
% 14.72/4.93  fof(f107101,plain,(
% 14.72/4.93    v1_xboole_0(sK6524_skl)|~sQ2485_spl),
% 14.72/4.93    inference(component_clause,[status(thm)],[f107100])).
% 14.72/4.93  fof(f107107,plain,(
% 14.72/4.93    $false|~sQ2485_spl),
% 14.72/4.93    inference(forward_subsumption_resolution,[status(thm)],[f107101,f89333])).
% 14.72/4.93  fof(f107108,plain,(
% 14.72/4.93    ~sQ2485_spl),
% 14.72/4.93    inference(contradiction_clause,[status(thm)],[f107107])).
% 14.72/4.93  fof(f107112,plain,(
% 14.72/4.93    ![X0,X1]: (v1_xboole_0(sK6524_skl)|~m2_relset_1(X0,sK6524_skl,X1)|m1_subset_1(a_4_1_relset_2(sK6524_skl,X1,sK6525_skl,X0),k1_zfmisc_1(k1_zfmisc_1(X1))))),
% 14.72/4.93    inference(resolution,[status(thm)],[f89194,f89334])).
% 14.72/4.93  fof(f107113,definition,(
% 14.72/4.93    ![X0,X1]: (sQ2487_spl <=> (~m2_relset_1(X0,sK6524_skl,X1)|m1_subset_1(a_4_1_relset_2(sK6524_skl,X1,sK6525_skl,X0),k1_zfmisc_1(k1_zfmisc_1(X1)))))),
% 14.72/4.93    introduced(definition,[new_symbols(definition,[sQ2487_spl])],[split_symbol_definition])).
% 14.72/4.93  fof(f107114,plain,(
% 14.72/4.93    ![X0,X1]: (~m2_relset_1(X0,sK6524_skl,X1)|m1_subset_1(a_4_1_relset_2(sK6524_skl,X1,sK6525_skl,X0),k1_zfmisc_1(k1_zfmisc_1(X1)))|~sQ2487_spl)),
% 15.49/5.20    inference(component_clause,[status(thm)],[f107113])).
% 15.49/5.20  fof(f107116,plain,(
% 15.49/5.20    sQ2485_spl|sQ2487_spl),
% 15.49/5.20    inference(split_clause,[status(thm)],[f107112,f107100,f107113])).
% 15.49/5.20  fof(f107152,plain,(
% 15.49/5.20    m1_subset_1(a_4_1_relset_2(sK6524_skl,sK6526_skl,sK6525_skl,sK6527_skl),k1_zfmisc_1(k1_zfmisc_1(sK6526_skl)))|~sQ2487_spl),
% 15.49/5.20    inference(resolution,[status(thm)],[f107114,f89335])).
% 15.49/5.20  fof(f107153,plain,(
% 15.49/5.20    $false|~sQ2487_spl),
% 15.49/5.20    inference(forward_subsumption_resolution,[status(thm)],[f107152,f89336])).
% 15.49/5.20  fof(f107154,plain,(
% 15.49/5.20    ~sQ2487_spl),
% 15.49/5.20    inference(contradiction_clause,[status(thm)],[f107153])).
% 15.49/5.20  fof(f107155,plain,(
% 15.49/5.20    $false),
% 15.49/5.20    inference(sat_refutation,[status(thm)],[f107108,f107116,f107154])).
% 15.49/5.20  % SZS output end CNFRefutation for theBenchmark.p
% 3.61/5.37  % Elapsed time: 4.947618 seconds
% 3.61/5.37  % CPU time: 15.468046 seconds
% 3.61/5.37  % Total memory used: 5.315 GB
% 3.61/5.37  % Net memory used: 5.278 GB
%------------------------------------------------------------------------------