TSTP Solution File: SEU424+3 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SEU424+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:42:19 EDT 2024

% Result   : Theorem 17.11s 4.88s
% Output   : CNFRefutation 19.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SEU424+3 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32  % Computer : n025.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Mon Apr 29 20:05:28 EDT 2024
% 0.10/0.32  % CPUTime  : 
% 2.65/2.98  % Drodi V3.6.0
% 17.11/4.88  % Refutation found
% 17.11/4.88  % SZS status Theorem for theBenchmark: Theorem is valid
% 17.11/4.88  % SZS output start CNFRefutation for theBenchmark
% 17.11/4.88  fof(f19053,axiom,(
% 17.11/4.88    (! [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))) ) )),
% 17.11/4.88    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.11/4.88  fof(f19089,conjecture,(
% 17.11/4.88    (! [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))) ) )) )) )),
% 17.11/4.88    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 17.11/4.88  fof(f19090,negated_conjecture,(
% 17.11/4.88    ~((! [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))) ) )) )) ))),
% 17.11/4.88    inference(negated_conjecture,[status(cth)],[f19089])).
% 17.11/4.88  fof(f89181,plain,(
% 17.11/4.88    ![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))))),
% 17.11/4.88    inference(pre_NNF_transformation,[status(esa)],[f19053])).
% 17.11/4.88  fof(f89182,plain,(
% 17.11/4.88    ![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))))),
% 17.11/4.88    inference(cnf_transformation,[status(esa)],[f89181])).
% 17.11/4.88  fof(f89271,plain,(
% 17.11/4.88    (?[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)))))))))),
% 17.11/4.88    inference(pre_NNF_transformation,[status(esa)],[f19090])).
% 17.11/4.88  fof(f89272,plain,(
% 17.11/4.88    ?[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))))))))),
% 17.11/4.88    inference(miniscoping,[status(esa)],[f89271])).
% 17.11/4.88  fof(f89273,plain,(
% 17.11/4.88    (~v1_xboole_0(sk0_6522)&(m1_subset_1(sk0_6523,k1_zfmisc_1(sk0_6522))&(m2_relset_1(sk0_6525,sk0_6522,sk0_6524)&~m1_subset_1(a_4_0_relset_2(sk0_6522,sk0_6524,sk0_6523,sk0_6525),k1_zfmisc_1(k1_zfmisc_1(sk0_6524))))))),
% 17.11/4.88    inference(skolemization,[status(esa)],[f89272])).
% 17.11/4.88  fof(f89274,plain,(
% 17.11/4.88    ~v1_xboole_0(sk0_6522)),
% 17.11/4.88    inference(cnf_transformation,[status(esa)],[f89273])).
% 17.11/4.88  fof(f89275,plain,(
% 17.11/4.88    m1_subset_1(sk0_6523,k1_zfmisc_1(sk0_6522))),
% 17.11/4.88    inference(cnf_transformation,[status(esa)],[f89273])).
% 17.11/4.88  fof(f89276,plain,(
% 17.11/4.88    m2_relset_1(sk0_6525,sk0_6522,sk0_6524)),
% 17.11/4.88    inference(cnf_transformation,[status(esa)],[f89273])).
% 17.11/4.88  fof(f89277,plain,(
% 17.11/4.88    ~m1_subset_1(a_4_0_relset_2(sk0_6522,sk0_6524,sk0_6523,sk0_6525),k1_zfmisc_1(k1_zfmisc_1(sk0_6524)))),
% 17.11/4.88    inference(cnf_transformation,[status(esa)],[f89273])).
% 17.11/4.88  fof(f108379,plain,(
% 17.11/4.88    spl0_2348 <=> v1_xboole_0(sk0_6522)),
% 17.11/4.88    introduced(split_symbol_definition)).
% 17.11/4.88  fof(f108380,plain,(
% 17.11/4.88    v1_xboole_0(sk0_6522)|~spl0_2348),
% 17.11/4.88    inference(component_clause,[status(thm)],[f108379])).
% 17.11/4.88  fof(f108382,plain,(
% 17.11/4.88    spl0_2349 <=> ~m2_relset_1(X0,sk0_6522,X1)|m1_subset_1(a_4_0_relset_2(sk0_6522,X1,sk0_6523,X0),k1_zfmisc_1(k1_zfmisc_1(X1)))),
% 17.11/4.88    introduced(split_symbol_definition)).
% 17.11/4.88  fof(f108383,plain,(
% 17.11/4.88    ![X0,X1]: (~m2_relset_1(X0,sk0_6522,X1)|m1_subset_1(a_4_0_relset_2(sk0_6522,X1,sk0_6523,X0),k1_zfmisc_1(k1_zfmisc_1(X1)))|~spl0_2349)),
% 17.11/4.88    inference(component_clause,[status(thm)],[f108382])).
% 17.11/4.88  fof(f108385,plain,(
% 17.11/4.88    ![X0,X1]: (v1_xboole_0(sk0_6522)|~m2_relset_1(X0,sk0_6522,X1)|m1_subset_1(a_4_0_relset_2(sk0_6522,X1,sk0_6523,X0),k1_zfmisc_1(k1_zfmisc_1(X1))))),
% 17.11/4.88    inference(resolution,[status(thm)],[f89182,f89275])).
% 17.11/4.88  fof(f108386,plain,(
% 17.11/4.88    spl0_2348|spl0_2349),
% 17.11/4.88    inference(split_clause,[status(thm)],[f108385,f108379,f108382])).
% 17.11/4.88  fof(f108387,plain,(
% 17.11/4.88    $false|~spl0_2348),
% 17.11/4.88    inference(forward_subsumption_resolution,[status(thm)],[f108380,f89274])).
% 17.11/4.88  fof(f108388,plain,(
% 17.11/4.88    ~spl0_2348),
% 17.11/4.88    inference(contradiction_clause,[status(thm)],[f108387])).
% 17.11/4.88  fof(f108408,plain,(
% 17.11/4.88    m1_subset_1(a_4_0_relset_2(sk0_6522,sk0_6524,sk0_6523,sk0_6525),k1_zfmisc_1(k1_zfmisc_1(sk0_6524)))|~spl0_2349),
% 17.11/4.88    inference(resolution,[status(thm)],[f108383,f89276])).
% 17.11/4.88  fof(f108409,plain,(
% 17.11/4.88    $false|~spl0_2349),
% 17.11/4.88    inference(forward_subsumption_resolution,[status(thm)],[f108408,f89277])).
% 19.71/5.24  fof(f108410,plain,(
% 19.71/5.24    ~spl0_2349),
% 19.71/5.24    inference(contradiction_clause,[status(thm)],[f108409])).
% 19.71/5.24  fof(f108411,plain,(
% 19.71/5.24    $false),
% 19.71/5.24    inference(sat_refutation,[status(thm)],[f108386,f108388,f108410])).
% 19.71/5.24  % SZS output end CNFRefutation for theBenchmark.p
% 20.75/5.39  % Elapsed time: 5.009320 seconds
% 20.75/5.39  % CPU time: 18.265384 seconds
% 20.75/5.39  % Total memory used: 5.206 GB
% 20.75/5.39  % Net memory used: 5.178 GB
%------------------------------------------------------------------------------