TSTP Solution File: GEO127-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO127-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 20:17:10 EDT 2024

% Result   : Unsatisfiable 0.21s 0.43s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GEO127-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n022.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Apr 30 01:31:13 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.38  % Drodi V3.6.0
% 0.21/0.43  % Refutation found
% 0.21/0.43  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.43  % SZS output start CNFRefutation for theBenchmark
% 0.21/0.43  fof(f13,axiom,(
% 0.21/0.43    (![A,B]: (( ~ end_point(A,B)| incident_c(A,B) ) ))),
% 0.21/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f21,axiom,(
% 0.21/0.43    (![A,B]: (( ~ inner_point(A,B)| incident_c(A,B) ) ))),
% 0.21/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f22,axiom,(
% 0.21/0.43    (![A,B]: (( ~ inner_point(A,B)| ~ end_point(A,B) ) ))),
% 0.21/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f31,axiom,(
% 0.21/0.43    (![A,B]: (( ~ closed(A)| ~ end_point(B,A) ) ))),
% 0.21/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f32,axiom,(
% 0.21/0.43    (![A]: (( end_point(ax0_sk6(A),A)| closed(A) ) ))),
% 0.21/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f33,axiom,(
% 0.21/0.43    (![A]: (( ~ open(A)| end_point(ax0_sk7(A),A) ) ))),
% 0.21/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f37,axiom,(
% 0.21/0.43    (![A]: (inner_point(ax0_sk8(A),A) ))),
% 0.21/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f62,axiom,(
% 0.21/0.43    (![A,B,C]: (( ~ start_point(A,B)| A = C| ~ incident_o(C,B)| ordered_by(B,A,C) ) ))),
% 0.21/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f71,axiom,(
% 0.21/0.43    (![A,B,C]: (( ~ ordered_by(A,B,C)| incident_o(B,A) ) ))),
% 0.21/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f72,axiom,(
% 0.21/0.43    (![A,B,C]: (( ~ ordered_by(A,B,C)| incident_o(C,A) ) ))),
% 0.21/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f73,axiom,(
% 0.21/0.43    (![A]: (open(ax2_sk3(A)) ))),
% 0.21/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f75,axiom,(
% 0.21/0.43    (![A,B]: (( ~ incident_c(A,ax2_sk3(B))| incident_o(A,B) ) ))),
% 0.21/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f83,axiom,(
% 0.21/0.43    (![A]: (start_point(ax2_sk6(A),A) ))),
% 0.21/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f97,negated_conjecture,(
% 0.21/0.43    ( incident_o(sk26,sk25)| ordered_by(sk25,sk26,sk27)| ordered_by(sk25,sk27,sk26) ) ),
% 0.21/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f101,negated_conjecture,(
% 0.21/0.43    (![A]: (( ~ ordered_by(sk25,sk26,A)| ~ incident_o(sk26,sk25) ) ))),
% 0.21/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f102,negated_conjecture,(
% 0.21/0.43    (![A]: (( ~ ordered_by(sk25,A,sk26)| ~ incident_o(sk26,sk25) ) ))),
% 0.21/0.43    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.43  fof(f119,plain,(
% 0.21/0.43    ![X0,X1]: (~end_point(X0,X1)|incident_c(X0,X1))),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f13])).
% 0.21/0.43  fof(f128,plain,(
% 0.21/0.43    ![X0,X1]: (~inner_point(X0,X1)|incident_c(X0,X1))),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f21])).
% 0.21/0.43  fof(f129,plain,(
% 0.21/0.43    ![X0,X1]: (~inner_point(X0,X1)|~end_point(X0,X1))),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f22])).
% 0.21/0.43  fof(f142,plain,(
% 0.21/0.43    ![A]: (~closed(A)|(![B]: ~end_point(B,A)))),
% 0.21/0.43    inference(miniscoping,[status(esa)],[f31])).
% 0.21/0.43  fof(f143,plain,(
% 0.21/0.43    ![X0,X1]: (~closed(X0)|~end_point(X1,X0))),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f142])).
% 0.21/0.43  fof(f144,plain,(
% 0.21/0.43    ![X0]: (end_point(ax0_sk6(X0),X0)|closed(X0))),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f32])).
% 0.21/0.43  fof(f145,plain,(
% 0.21/0.43    ![X0]: (~open(X0)|end_point(ax0_sk7(X0),X0))),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f33])).
% 0.21/0.43  fof(f152,plain,(
% 0.21/0.43    ![X0]: (inner_point(ax0_sk8(X0),X0))),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f37])).
% 0.21/0.43  fof(f186,plain,(
% 0.21/0.43    ![X0,X1,X2]: (~start_point(X0,X1)|X0=X2|~incident_o(X2,X1)|ordered_by(X1,X0,X2))),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f62])).
% 0.21/0.43  fof(f195,plain,(
% 0.21/0.43    ![A,B]: ((![C]: ~ordered_by(A,B,C))|incident_o(B,A))),
% 0.21/0.43    inference(miniscoping,[status(esa)],[f71])).
% 0.21/0.43  fof(f196,plain,(
% 0.21/0.43    ![X0,X1,X2]: (~ordered_by(X0,X1,X2)|incident_o(X1,X0))),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f195])).
% 0.21/0.43  fof(f197,plain,(
% 0.21/0.43    ![A,C]: ((![B]: ~ordered_by(A,B,C))|incident_o(C,A))),
% 0.21/0.43    inference(miniscoping,[status(esa)],[f72])).
% 0.21/0.43  fof(f198,plain,(
% 0.21/0.43    ![X0,X1,X2]: (~ordered_by(X0,X1,X2)|incident_o(X2,X0))),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f197])).
% 0.21/0.43  fof(f199,plain,(
% 0.21/0.43    ![X0]: (open(ax2_sk3(X0)))),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f73])).
% 0.21/0.43  fof(f201,plain,(
% 0.21/0.43    ![X0,X1]: (~incident_c(X0,ax2_sk3(X1))|incident_o(X0,X1))),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f75])).
% 0.21/0.43  fof(f214,plain,(
% 0.21/0.43    ![X0]: (start_point(ax2_sk6(X0),X0))),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f83])).
% 0.21/0.43  fof(f231,plain,(
% 0.21/0.43    incident_o(sk26,sk25)|ordered_by(sk25,sk26,sk27)|ordered_by(sk25,sk27,sk26)),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f97])).
% 0.21/0.43  fof(f237,plain,(
% 0.21/0.43    (![A]: ~ordered_by(sk25,sk26,A))|~incident_o(sk26,sk25)),
% 0.21/0.43    inference(miniscoping,[status(esa)],[f101])).
% 0.21/0.43  fof(f238,plain,(
% 0.21/0.43    ![X0]: (~ordered_by(sk25,sk26,X0)|~incident_o(sk26,sk25))),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f237])).
% 0.21/0.43  fof(f239,plain,(
% 0.21/0.43    (![A]: ~ordered_by(sk25,A,sk26))|~incident_o(sk26,sk25)),
% 0.21/0.43    inference(miniscoping,[status(esa)],[f102])).
% 0.21/0.43  fof(f240,plain,(
% 0.21/0.43    ![X0]: (~ordered_by(sk25,X0,sk26)|~incident_o(sk26,sk25))),
% 0.21/0.43    inference(cnf_transformation,[status(esa)],[f239])).
% 0.21/0.43  fof(f241,plain,(
% 0.21/0.43    spl0_0 <=> incident_o(sk26,sk25)),
% 0.21/0.43    introduced(split_symbol_definition)).
% 0.21/0.43  fof(f243,plain,(
% 0.21/0.43    ~incident_o(sk26,sk25)|spl0_0),
% 0.21/0.43    inference(component_clause,[status(thm)],[f241])).
% 0.21/0.43  fof(f244,plain,(
% 0.21/0.43    spl0_1 <=> ordered_by(sk25,sk26,sk27)),
% 0.21/0.43    introduced(split_symbol_definition)).
% 0.21/0.43  fof(f245,plain,(
% 0.21/0.43    ordered_by(sk25,sk26,sk27)|~spl0_1),
% 0.21/0.43    inference(component_clause,[status(thm)],[f244])).
% 0.21/0.43  fof(f247,plain,(
% 0.21/0.43    spl0_2 <=> ordered_by(sk25,sk27,sk26)),
% 0.21/0.43    introduced(split_symbol_definition)).
% 0.21/0.43  fof(f248,plain,(
% 0.21/0.43    ordered_by(sk25,sk27,sk26)|~spl0_2),
% 0.21/0.43    inference(component_clause,[status(thm)],[f247])).
% 0.21/0.43  fof(f250,plain,(
% 0.21/0.43    spl0_0|spl0_1|spl0_2),
% 0.21/0.43    inference(split_clause,[status(thm)],[f231,f241,f244,f247])).
% 0.21/0.43  fof(f252,plain,(
% 0.21/0.43    spl0_3 <=> ~ordered_by(sk25,sk26,X0)),
% 0.21/0.43    introduced(split_symbol_definition)).
% 0.21/0.43  fof(f253,plain,(
% 0.21/0.43    ![X0]: (~ordered_by(sk25,sk26,X0)|~spl0_3)),
% 0.21/0.43    inference(component_clause,[status(thm)],[f252])).
% 0.21/0.43  fof(f256,plain,(
% 0.21/0.43    spl0_4 <=> ~ordered_by(sk25,X0,sk26)),
% 0.21/0.43    introduced(split_symbol_definition)).
% 0.21/0.43  fof(f257,plain,(
% 0.21/0.43    ![X0]: (~ordered_by(sk25,X0,sk26)|~spl0_4)),
% 0.21/0.43    inference(component_clause,[status(thm)],[f256])).
% 0.21/0.43  fof(f260,plain,(
% 0.21/0.43    spl0_3|~spl0_0),
% 0.21/0.43    inference(split_clause,[status(thm)],[f238,f252,f241])).
% 0.21/0.43  fof(f261,plain,(
% 0.21/0.43    spl0_4|~spl0_0),
% 0.21/0.43    inference(split_clause,[status(thm)],[f240,f256,f241])).
% 0.21/0.43  fof(f271,plain,(
% 0.21/0.43    ![X0]: (incident_c(ax0_sk8(X0),X0))),
% 0.21/0.43    inference(resolution,[status(thm)],[f128,f152])).
% 0.21/0.43  fof(f273,plain,(
% 0.21/0.43    ![X0,X1]: (end_point(ax0_sk6(X0),X0)|~end_point(X1,X0))),
% 0.21/0.43    inference(resolution,[status(thm)],[f144,f143])).
% 0.21/0.43  fof(f274,plain,(
% 0.21/0.43    ![X0]: (end_point(ax0_sk7(ax2_sk3(X0)),ax2_sk3(X0)))),
% 0.21/0.43    inference(resolution,[status(thm)],[f145,f199])).
% 0.21/0.43  fof(f280,plain,(
% 0.21/0.43    ![X0]: (end_point(ax0_sk6(ax2_sk3(X0)),ax2_sk3(X0)))),
% 0.21/0.43    inference(resolution,[status(thm)],[f274,f273])).
% 0.21/0.43  fof(f288,plain,(
% 0.21/0.43    ![X0]: (~inner_point(ax0_sk6(ax2_sk3(X0)),ax2_sk3(X0)))),
% 0.21/0.43    inference(resolution,[status(thm)],[f280,f129])).
% 0.21/0.43  fof(f289,plain,(
% 0.21/0.43    ![X0]: (incident_c(ax0_sk6(ax2_sk3(X0)),ax2_sk3(X0)))),
% 0.21/0.43    inference(resolution,[status(thm)],[f280,f119])).
% 0.21/0.43  fof(f296,plain,(
% 0.21/0.43    ![X0]: (~ordered_by(sk25,X0,sk26)|spl0_0)),
% 0.21/0.43    inference(resolution,[status(thm)],[f243,f198])).
% 0.21/0.43  fof(f297,plain,(
% 0.21/0.43    ![X0]: (~ordered_by(sk25,sk26,X0)|spl0_0)),
% 0.21/0.43    inference(resolution,[status(thm)],[f243,f196])).
% 0.21/0.43  fof(f300,plain,(
% 0.21/0.43    $false|~spl0_4|~spl0_2),
% 0.21/0.43    inference(backward_subsumption_resolution,[status(thm)],[f248,f257])).
% 0.21/0.43  fof(f301,plain,(
% 0.21/0.43    ~spl0_4|~spl0_2),
% 0.21/0.43    inference(contradiction_clause,[status(thm)],[f300])).
% 0.21/0.43  fof(f302,plain,(
% 0.21/0.43    $false|~spl0_3|~spl0_1),
% 0.21/0.43    inference(forward_subsumption_resolution,[status(thm)],[f245,f253])).
% 0.21/0.43  fof(f303,plain,(
% 0.21/0.43    ~spl0_3|~spl0_1),
% 0.21/0.43    inference(contradiction_clause,[status(thm)],[f302])).
% 0.21/0.43  fof(f304,plain,(
% 0.21/0.43    spl0_4|spl0_0),
% 0.21/0.43    inference(split_clause,[status(thm)],[f296,f256,f241])).
% 0.21/0.43  fof(f305,plain,(
% 0.21/0.43    spl0_3|spl0_0),
% 0.21/0.43    inference(split_clause,[status(thm)],[f297,f252,f241])).
% 0.21/0.43  fof(f348,plain,(
% 0.21/0.43    ![X0,X1]: (ax2_sk6(X0)=X1|~incident_o(X1,X0)|ordered_by(X0,ax2_sk6(X0),X1))),
% 0.21/0.43    inference(resolution,[status(thm)],[f186,f214])).
% 0.21/0.43  fof(f388,plain,(
% 0.21/0.43    spl0_5 <=> ax2_sk6(sk25)=sk26),
% 0.21/0.43    introduced(split_symbol_definition)).
% 0.21/0.43  fof(f389,plain,(
% 0.21/0.44    ax2_sk6(sk25)=sk26|~spl0_5),
% 0.21/0.44    inference(component_clause,[status(thm)],[f388])).
% 0.21/0.44  fof(f391,plain,(
% 0.21/0.44    ax2_sk6(sk25)=sk26|~incident_o(sk26,sk25)|~spl0_4),
% 0.21/0.44    inference(resolution,[status(thm)],[f348,f257])).
% 0.21/0.44  fof(f392,plain,(
% 0.21/0.44    spl0_5|~spl0_0|~spl0_4),
% 0.21/0.44    inference(split_clause,[status(thm)],[f391,f388,f241,f256])).
% 0.21/0.44  fof(f408,plain,(
% 0.21/0.44    ![X0]: (ax2_sk6(sk25)=X0|~incident_o(X0,sk25)|ordered_by(sk25,sk26,X0)|~spl0_5)),
% 0.21/0.44    inference(paramodulation,[status(thm)],[f389,f348])).
% 0.21/0.44  fof(f409,plain,(
% 0.21/0.44    ![X0]: (sk26=X0|~incident_o(X0,sk25)|ordered_by(sk25,sk26,X0)|~spl0_5)),
% 0.21/0.44    inference(forward_demodulation,[status(thm)],[f389,f408])).
% 0.21/0.44  fof(f410,plain,(
% 0.21/0.44    ![X0]: (sk26=X0|~incident_o(X0,sk25)|~spl0_3|~spl0_5)),
% 0.21/0.44    inference(forward_subsumption_resolution,[status(thm)],[f409,f253])).
% 0.21/0.44  fof(f417,plain,(
% 0.21/0.44    ![X0]: (sk26=X0|~incident_c(X0,ax2_sk3(sk25))|~spl0_3|~spl0_5)),
% 0.21/0.44    inference(resolution,[status(thm)],[f410,f201])).
% 0.21/0.44  fof(f480,plain,(
% 0.21/0.44    sk26=ax0_sk6(ax2_sk3(sk25))|~spl0_3|~spl0_5),
% 0.21/0.44    inference(resolution,[status(thm)],[f417,f289])).
% 0.21/0.44  fof(f486,plain,(
% 0.21/0.44    sk26=ax0_sk8(ax2_sk3(sk25))|~spl0_3|~spl0_5),
% 0.21/0.44    inference(resolution,[status(thm)],[f417,f271])).
% 0.21/0.44  fof(f499,plain,(
% 0.21/0.44    ~inner_point(sk26,ax2_sk3(sk25))|~spl0_3|~spl0_5),
% 0.21/0.44    inference(paramodulation,[status(thm)],[f480,f288])).
% 0.21/0.44  fof(f517,plain,(
% 0.21/0.44    inner_point(sk26,ax2_sk3(sk25))|~spl0_3|~spl0_5),
% 0.21/0.44    inference(paramodulation,[status(thm)],[f486,f152])).
% 0.21/0.44  fof(f555,plain,(
% 0.21/0.44    $false|~spl0_3|~spl0_5),
% 0.21/0.44    inference(forward_subsumption_resolution,[status(thm)],[f517,f499])).
% 0.21/0.44  fof(f556,plain,(
% 0.21/0.44    ~spl0_3|~spl0_5),
% 0.21/0.44    inference(contradiction_clause,[status(thm)],[f555])).
% 0.21/0.44  fof(f557,plain,(
% 0.21/0.44    $false),
% 0.21/0.44    inference(sat_refutation,[status(thm)],[f250,f260,f261,f301,f303,f304,f305,f392,f556])).
% 0.21/0.44  % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.45  % Elapsed time: 0.080281 seconds
% 0.21/0.45  % CPU time: 0.392990 seconds
% 0.21/0.45  % Total memory used: 53.303 MB
% 0.21/0.45  % Net memory used: 53.241 MB
%------------------------------------------------------------------------------