TSTP Solution File: GEO094-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO094-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.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 : Wed May 31 12:07:46 EDT 2023

% Result   : Unsatisfiable 0.15s 0.35s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : GEO094-1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n005.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue May 30 11:57:36 EDT 2023
% 0.15/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.5.1
% 0.15/0.35  % Refutation found
% 0.15/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.35  % SZS output start CNFRefutation for theBenchmark
% 0.15/0.35  fof(f1,axiom,(
% 0.15/0.35    (![A,B,C]: (( ~ part_of(A,B)| ~ incident_c(C,A)| incident_c(C,B) ) ))),
% 0.15/0.35    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35  fof(f14,axiom,(
% 0.15/0.35    (![A,B,C,D]: (( ~ end_point(A,B)| ~ part_of(C,B)| ~ part_of(D,B)| ~ incident_c(A,C)| ~ incident_c(A,D)| part_of(C,D)| part_of(D,C) ) ))),
% 0.15/0.35    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35  fof(f21,axiom,(
% 0.15/0.35    (![A,B]: (( ~ inner_point(A,B)| incident_c(A,B) ) ))),
% 0.15/0.35    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35  fof(f22,axiom,(
% 0.15/0.35    (![A,B]: (( ~ inner_point(A,B)| ~ end_point(A,B) ) ))),
% 0.15/0.35    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35  fof(f24,axiom,(
% 0.15/0.35    (![A,B,C]: (( ~ meet(A,B,C)| incident_c(A,B) ) ))),
% 0.15/0.35    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35  fof(f25,axiom,(
% 0.15/0.35    (![A,B,C]: (( ~ meet(A,B,C)| incident_c(A,C) ) ))),
% 0.15/0.35    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35  fof(f26,axiom,(
% 0.15/0.35    (![A,B,C,D]: (( ~ meet(A,B,C)| ~ incident_c(D,B)| ~ incident_c(D,C)| end_point(D,B) ) ))),
% 0.15/0.35    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35  fof(f27,axiom,(
% 0.15/0.35    (![A,B,C,D]: (( ~ meet(A,B,C)| ~ incident_c(D,B)| ~ incident_c(D,C)| end_point(D,C) ) ))),
% 0.15/0.35    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35  fof(f37,axiom,(
% 0.15/0.35    (![A]: (inner_point(ax0_sk8(A),A) ))),
% 0.15/0.35    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35  fof(f49,negated_conjecture,(
% 0.15/0.35    meet(sk17,sk15,sk16) ),
% 0.15/0.35    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35  fof(f50,negated_conjecture,(
% 0.15/0.35    part_of(sk15,sk14) ),
% 0.15/0.35    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35  fof(f51,negated_conjecture,(
% 0.15/0.35    part_of(sk16,sk14) ),
% 0.15/0.35    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35  fof(f52,negated_conjecture,(
% 0.15/0.35    end_point(sk17,sk14) ),
% 0.15/0.35    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.35  fof(f53,plain,(
% 0.15/0.35    ![B,C]: ((![A]: (~part_of(A,B)|~incident_c(C,A)))|incident_c(C,B))),
% 0.15/0.35    inference(miniscoping,[status(esa)],[f1])).
% 0.15/0.35  fof(f54,plain,(
% 0.15/0.35    ![X0,X1,X2]: (~part_of(X0,X1)|~incident_c(X2,X0)|incident_c(X2,X1))),
% 0.15/0.35    inference(cnf_transformation,[status(esa)],[f53])).
% 0.15/0.35  fof(f70,plain,(
% 0.15/0.35    ![C,D]: (((![A]: (((![B]: ((~end_point(A,B)|~part_of(C,B))|~part_of(D,B)))|~incident_c(A,C))|~incident_c(A,D)))|part_of(C,D))|part_of(D,C))),
% 0.15/0.35    inference(miniscoping,[status(esa)],[f14])).
% 0.15/0.35  fof(f71,plain,(
% 0.15/0.35    ![X0,X1,X2,X3]: (~end_point(X0,X1)|~part_of(X2,X1)|~part_of(X3,X1)|~incident_c(X0,X2)|~incident_c(X0,X3)|part_of(X2,X3)|part_of(X3,X2))),
% 0.15/0.35    inference(cnf_transformation,[status(esa)],[f70])).
% 0.15/0.35  fof(f78,plain,(
% 0.15/0.35    ![X0,X1]: (~inner_point(X0,X1)|incident_c(X0,X1))),
% 0.15/0.35    inference(cnf_transformation,[status(esa)],[f21])).
% 0.15/0.35  fof(f79,plain,(
% 0.15/0.35    ![X0,X1]: (~inner_point(X0,X1)|~end_point(X0,X1))),
% 0.15/0.35    inference(cnf_transformation,[status(esa)],[f22])).
% 0.15/0.35  fof(f81,plain,(
% 0.15/0.35    ![A,B]: ((![C]: ~meet(A,B,C))|incident_c(A,B))),
% 0.15/0.35    inference(miniscoping,[status(esa)],[f24])).
% 0.15/0.35  fof(f82,plain,(
% 0.15/0.35    ![X0,X1,X2]: (~meet(X0,X1,X2)|incident_c(X0,X1))),
% 0.15/0.35    inference(cnf_transformation,[status(esa)],[f81])).
% 0.15/0.35  fof(f83,plain,(
% 0.15/0.35    ![A,C]: ((![B]: ~meet(A,B,C))|incident_c(A,C))),
% 0.15/0.35    inference(miniscoping,[status(esa)],[f25])).
% 0.15/0.35  fof(f84,plain,(
% 0.15/0.35    ![X0,X1,X2]: (~meet(X0,X1,X2)|incident_c(X0,X2))),
% 0.15/0.35    inference(cnf_transformation,[status(esa)],[f83])).
% 0.15/0.35  fof(f85,plain,(
% 0.15/0.35    ![B,D]: ((![C]: (((![A]: ~meet(A,B,C))|~incident_c(D,B))|~incident_c(D,C)))|end_point(D,B))),
% 0.15/0.35    inference(miniscoping,[status(esa)],[f26])).
% 0.15/0.35  fof(f86,plain,(
% 0.15/0.35    ![X0,X1,X2,X3]: (~meet(X0,X1,X2)|~incident_c(X3,X1)|~incident_c(X3,X2)|end_point(X3,X1))),
% 0.15/0.35    inference(cnf_transformation,[status(esa)],[f85])).
% 0.15/0.35  fof(f87,plain,(
% 0.15/0.35    ![C,D]: (((![B]: ((![A]: ~meet(A,B,C))|~incident_c(D,B)))|~incident_c(D,C))|end_point(D,C))),
% 0.15/0.35    inference(miniscoping,[status(esa)],[f27])).
% 0.15/0.35  fof(f88,plain,(
% 0.15/0.35    ![X0,X1,X2,X3]: (~meet(X0,X1,X2)|~incident_c(X3,X1)|~incident_c(X3,X2)|end_point(X3,X2))),
% 0.15/0.35    inference(cnf_transformation,[status(esa)],[f87])).
% 0.15/0.35  fof(f102,plain,(
% 0.15/0.35    ![X0]: (inner_point(ax0_sk8(X0),X0))),
% 0.15/0.35    inference(cnf_transformation,[status(esa)],[f37])).
% 0.15/0.35  fof(f117,plain,(
% 0.15/0.35    meet(sk17,sk15,sk16)),
% 0.15/0.35    inference(cnf_transformation,[status(esa)],[f49])).
% 0.15/0.35  fof(f118,plain,(
% 0.15/0.35    part_of(sk15,sk14)),
% 0.15/0.35    inference(cnf_transformation,[status(esa)],[f50])).
% 0.15/0.35  fof(f119,plain,(
% 0.15/0.35    part_of(sk16,sk14)),
% 0.15/0.35    inference(cnf_transformation,[status(esa)],[f51])).
% 0.15/0.35  fof(f120,plain,(
% 0.15/0.35    end_point(sk17,sk14)),
% 0.15/0.35    inference(cnf_transformation,[status(esa)],[f52])).
% 0.15/0.35  fof(f126,plain,(
% 0.15/0.35    incident_c(sk17,sk15)),
% 0.15/0.35    inference(resolution,[status(thm)],[f82,f117])).
% 0.15/0.35  fof(f127,plain,(
% 0.15/0.35    incident_c(sk17,sk16)),
% 0.15/0.35    inference(resolution,[status(thm)],[f84,f117])).
% 0.15/0.35  fof(f147,plain,(
% 0.15/0.35    ![X0,X1]: (~end_point(X0,sk14)|~part_of(X1,sk14)|~incident_c(X0,X1)|~incident_c(X0,sk16)|part_of(X1,sk16)|part_of(sk16,X1))),
% 0.15/0.35    inference(resolution,[status(thm)],[f71,f119])).
% 0.15/0.35  fof(f176,plain,(
% 0.15/0.35    ![X0]: (incident_c(ax0_sk8(X0),X0))),
% 0.15/0.35    inference(resolution,[status(thm)],[f78,f102])).
% 0.15/0.35  fof(f177,plain,(
% 0.15/0.35    ![X0]: (~end_point(ax0_sk8(X0),X0))),
% 0.15/0.35    inference(resolution,[status(thm)],[f79,f102])).
% 0.15/0.35  fof(f178,plain,(
% 0.15/0.35    ![X0,X1,X2]: (~meet(X0,X1,X2)|~incident_c(ax0_sk8(X2),X1)|~incident_c(ax0_sk8(X2),X2))),
% 0.15/0.35    inference(resolution,[status(thm)],[f177,f88])).
% 0.15/0.35  fof(f179,plain,(
% 0.15/0.35    ![X0,X1,X2]: (~meet(X0,X1,X2)|~incident_c(ax0_sk8(X2),X1))),
% 0.15/0.35    inference(forward_subsumption_resolution,[status(thm)],[f178,f176])).
% 0.15/0.35  fof(f180,plain,(
% 0.15/0.35    ![X0,X1,X2]: (~meet(X0,X1,X2)|~incident_c(ax0_sk8(X1),X1)|~incident_c(ax0_sk8(X1),X2))),
% 0.15/0.35    inference(resolution,[status(thm)],[f177,f86])).
% 0.15/0.35  fof(f181,plain,(
% 0.15/0.35    ![X0,X1,X2]: (~meet(X0,X1,X2)|~incident_c(ax0_sk8(X1),X2))),
% 0.15/0.35    inference(forward_subsumption_resolution,[status(thm)],[f180,f176])).
% 0.15/0.35  fof(f390,plain,(
% 0.15/0.35    spl0_30 <=> part_of(sk16,sk15)),
% 0.15/0.35    introduced(split_symbol_definition)).
% 0.15/0.35  fof(f391,plain,(
% 0.15/0.35    part_of(sk16,sk15)|~spl0_30),
% 0.15/0.35    inference(component_clause,[status(thm)],[f390])).
% 0.15/0.35  fof(f393,plain,(
% 0.15/0.35    spl0_31 <=> part_of(sk15,sk16)),
% 0.15/0.35    introduced(split_symbol_definition)).
% 0.15/0.35  fof(f394,plain,(
% 0.15/0.35    part_of(sk15,sk16)|~spl0_31),
% 0.15/0.35    inference(component_clause,[status(thm)],[f393])).
% 0.15/0.35  fof(f430,plain,(
% 0.15/0.35    ~incident_c(ax0_sk8(sk16),sk15)),
% 0.15/0.35    inference(resolution,[status(thm)],[f179,f117])).
% 0.15/0.35  fof(f431,plain,(
% 0.15/0.35    ![X0]: (~part_of(X0,sk15)|~incident_c(ax0_sk8(sk16),X0))),
% 0.15/0.35    inference(resolution,[status(thm)],[f430,f54])).
% 0.15/0.35  fof(f432,plain,(
% 0.15/0.35    ~incident_c(ax0_sk8(sk15),sk16)),
% 0.15/0.35    inference(resolution,[status(thm)],[f181,f117])).
% 0.15/0.35  fof(f445,plain,(
% 0.15/0.35    ![X0]: (~part_of(X0,sk16)|~incident_c(ax0_sk8(sk15),X0))),
% 0.15/0.35    inference(resolution,[status(thm)],[f432,f54])).
% 0.15/0.35  fof(f517,plain,(
% 0.15/0.35    spl0_37 <=> incident_c(sk17,sk15)),
% 0.15/0.35    introduced(split_symbol_definition)).
% 0.15/0.35  fof(f519,plain,(
% 0.15/0.35    ~incident_c(sk17,sk15)|spl0_37),
% 0.15/0.35    inference(component_clause,[status(thm)],[f517])).
% 0.15/0.35  fof(f540,plain,(
% 0.15/0.35    ~incident_c(ax0_sk8(sk15),sk15)|~spl0_31),
% 0.15/0.35    inference(resolution,[status(thm)],[f394,f445])).
% 0.15/0.35  fof(f541,plain,(
% 0.15/0.35    $false|~spl0_31),
% 0.15/0.35    inference(forward_subsumption_resolution,[status(thm)],[f540,f176])).
% 0.15/0.35  fof(f542,plain,(
% 0.15/0.35    ~spl0_31),
% 0.15/0.35    inference(contradiction_clause,[status(thm)],[f541])).
% 0.15/0.35  fof(f543,plain,(
% 0.15/0.35    ~incident_c(ax0_sk8(sk16),sk16)|~spl0_30),
% 0.15/0.35    inference(resolution,[status(thm)],[f391,f431])).
% 0.15/0.35  fof(f544,plain,(
% 0.15/0.35    $false|~spl0_30),
% 0.15/0.35    inference(forward_subsumption_resolution,[status(thm)],[f543,f176])).
% 0.15/0.35  fof(f545,plain,(
% 0.15/0.35    ~spl0_30),
% 0.15/0.35    inference(contradiction_clause,[status(thm)],[f544])).
% 0.15/0.35  fof(f607,plain,(
% 0.15/0.35    spl0_45 <=> incident_c(sk17,sk16)),
% 0.15/0.35    introduced(split_symbol_definition)).
% 0.15/0.35  fof(f609,plain,(
% 0.15/0.35    ~incident_c(sk17,sk16)|spl0_45),
% 0.15/0.35    inference(component_clause,[status(thm)],[f607])).
% 0.15/0.35  fof(f617,plain,(
% 0.15/0.35    $false|spl0_45),
% 0.15/0.35    inference(forward_subsumption_resolution,[status(thm)],[f609,f127])).
% 0.15/0.35  fof(f618,plain,(
% 0.15/0.35    spl0_45),
% 0.15/0.35    inference(contradiction_clause,[status(thm)],[f617])).
% 0.15/0.35  fof(f717,plain,(
% 0.15/0.35    spl0_55 <=> ~end_point(X0,sk14)|~incident_c(X0,sk15)|~incident_c(X0,sk16)),
% 0.15/0.35    introduced(split_symbol_definition)).
% 0.15/0.35  fof(f718,plain,(
% 0.15/0.35    ![X0]: (~end_point(X0,sk14)|~incident_c(X0,sk15)|~incident_c(X0,sk16)|~spl0_55)),
% 0.15/0.35    inference(component_clause,[status(thm)],[f717])).
% 0.15/0.35  fof(f720,plain,(
% 0.15/0.35    ![X0]: (~end_point(X0,sk14)|~incident_c(X0,sk15)|~incident_c(X0,sk16)|part_of(sk15,sk16)|part_of(sk16,sk15))),
% 0.15/0.38    inference(resolution,[status(thm)],[f147,f118])).
% 0.15/0.38  fof(f721,plain,(
% 0.15/0.38    spl0_55|spl0_31|spl0_30),
% 0.15/0.38    inference(split_clause,[status(thm)],[f720,f717,f393,f390])).
% 0.15/0.38  fof(f854,plain,(
% 0.15/0.38    ~incident_c(sk17,sk15)|~incident_c(sk17,sk16)|~spl0_55),
% 0.15/0.38    inference(resolution,[status(thm)],[f718,f120])).
% 0.15/0.38  fof(f855,plain,(
% 0.15/0.38    ~spl0_37|~spl0_45|~spl0_55),
% 0.15/0.38    inference(split_clause,[status(thm)],[f854,f517,f607,f717])).
% 0.15/0.38  fof(f875,plain,(
% 0.15/0.38    $false|spl0_37),
% 0.15/0.38    inference(forward_subsumption_resolution,[status(thm)],[f519,f126])).
% 0.15/0.38  fof(f876,plain,(
% 0.15/0.38    spl0_37),
% 0.15/0.38    inference(contradiction_clause,[status(thm)],[f875])).
% 0.15/0.38  fof(f877,plain,(
% 0.15/0.38    $false),
% 0.15/0.38    inference(sat_refutation,[status(thm)],[f542,f545,f618,f721,f855,f876])).
% 0.15/0.38  % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.38  % Elapsed time: 0.063180 seconds
% 0.15/0.38  % CPU time: 0.075779 seconds
% 0.15/0.38  % Memory used: 12.368 MB
%------------------------------------------------------------------------------