TSTP Solution File: GEO083-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO083-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 12:07:43 EDT 2023

% Result   : Unsatisfiable 0.18s 0.39s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO083-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32  % Computer : n028.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Tue May 30 12:16:47 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Drodi V3.5.1
% 0.18/0.39  % Refutation found
% 0.18/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.39  % SZS output start CNFRefutation for theBenchmark
% 0.18/0.39  fof(f1,axiom,(
% 0.18/0.39    (![A,B,C]: (( ~ part_of(A,B)| ~ incident_c(C,A)| incident_c(C,B) ) ))),
% 0.18/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.39  fof(f2,axiom,(
% 0.18/0.39    (![A,B]: (( incident_c(ax0_sk1(A,B),A)| part_of(A,B) ) ))),
% 0.18/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.39  fof(f3,axiom,(
% 0.18/0.39    (![A,B]: (( ~ incident_c(ax0_sk1(A,B),B)| part_of(A,B) ) ))),
% 0.18/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.39  fof(f4,axiom,(
% 0.18/0.39    (![A,B,C,D]: (( A != sum(B,C)| ~ incident_c(D,A)| incident_c(D,B)| incident_c(D,C) ) ))),
% 0.18/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.39  fof(f5,axiom,(
% 0.18/0.39    (![A,B,C,D]: (( A != sum(B,C)| ~ incident_c(D,B)| incident_c(D,A) ) ))),
% 0.18/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.39  fof(f6,axiom,(
% 0.18/0.39    (![A,B,C,D]: (( A != sum(B,C)| ~ incident_c(D,C)| incident_c(D,A) ) ))),
% 0.18/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.39  fof(f49,negated_conjecture,(
% 0.18/0.39    part_of(sk15,sk16) ),
% 0.18/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.39  fof(f52,negated_conjecture,(
% 0.18/0.39    ~ part_of(sum(sk14,sk15),sum(sk14,sk16)) ),
% 0.18/0.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.39  fof(f53,plain,(
% 0.18/0.39    ![B,C]: ((![A]: (~part_of(A,B)|~incident_c(C,A)))|incident_c(C,B))),
% 0.18/0.39    inference(miniscoping,[status(esa)],[f1])).
% 0.18/0.39  fof(f54,plain,(
% 0.18/0.39    ![X0,X1,X2]: (~part_of(X0,X1)|~incident_c(X2,X0)|incident_c(X2,X1))),
% 0.18/0.39    inference(cnf_transformation,[status(esa)],[f53])).
% 0.18/0.39  fof(f55,plain,(
% 0.18/0.39    ![X0,X1]: (incident_c(ax0_sk1(X0,X1),X0)|part_of(X0,X1))),
% 0.18/0.39    inference(cnf_transformation,[status(esa)],[f2])).
% 0.18/0.39  fof(f56,plain,(
% 0.18/0.39    ![X0,X1]: (~incident_c(ax0_sk1(X0,X1),X1)|part_of(X0,X1))),
% 0.18/0.39    inference(cnf_transformation,[status(esa)],[f3])).
% 0.18/0.39  fof(f57,plain,(
% 0.18/0.39    ![C,D]: ((![B]: ((![A]: (~A=sum(B,C)|~incident_c(D,A)))|incident_c(D,B)))|incident_c(D,C))),
% 0.18/0.39    inference(miniscoping,[status(esa)],[f4])).
% 0.18/0.39  fof(f58,plain,(
% 0.18/0.39    ![X0,X1,X2,X3]: (~X0=sum(X1,X2)|~incident_c(X3,X0)|incident_c(X3,X1)|incident_c(X3,X2))),
% 0.18/0.39    inference(cnf_transformation,[status(esa)],[f57])).
% 0.18/0.39  fof(f59,plain,(
% 0.18/0.39    ![A,D]: ((![B]: ((![C]: ~A=sum(B,C))|~incident_c(D,B)))|incident_c(D,A))),
% 0.18/0.39    inference(miniscoping,[status(esa)],[f5])).
% 0.18/0.39  fof(f60,plain,(
% 0.18/0.39    ![X0,X1,X2,X3]: (~X0=sum(X1,X2)|~incident_c(X3,X1)|incident_c(X3,X0))),
% 0.18/0.39    inference(cnf_transformation,[status(esa)],[f59])).
% 0.18/0.39  fof(f61,plain,(
% 0.18/0.39    ![A,D]: ((![C]: ((![B]: ~A=sum(B,C))|~incident_c(D,C)))|incident_c(D,A))),
% 0.18/0.39    inference(miniscoping,[status(esa)],[f6])).
% 0.18/0.39  fof(f62,plain,(
% 0.18/0.39    ![X0,X1,X2,X3]: (~X0=sum(X1,X2)|~incident_c(X3,X2)|incident_c(X3,X0))),
% 0.18/0.39    inference(cnf_transformation,[status(esa)],[f61])).
% 0.18/0.39  fof(f117,plain,(
% 0.18/0.39    part_of(sk15,sk16)),
% 0.18/0.39    inference(cnf_transformation,[status(esa)],[f49])).
% 0.18/0.39  fof(f120,plain,(
% 0.18/0.39    ~part_of(sum(sk14,sk15),sum(sk14,sk16))),
% 0.18/0.39    inference(cnf_transformation,[status(esa)],[f52])).
% 0.18/0.39  fof(f145,plain,(
% 0.18/0.39    ~incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sum(sk14,sk16))),
% 0.18/0.39    inference(resolution,[status(thm)],[f56,f120])).
% 0.18/0.39  fof(f151,plain,(
% 0.18/0.39    ![X0,X1]: (~sum(sk14,sk16)=sum(X0,X1)|~incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),X1))),
% 0.18/0.39    inference(resolution,[status(thm)],[f145,f62])).
% 0.18/0.39  fof(f152,plain,(
% 0.18/0.39    ![X0,X1]: (~sum(sk14,sk16)=sum(X0,X1)|~incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),X0))),
% 0.18/0.39    inference(resolution,[status(thm)],[f145,f60])).
% 0.18/0.39  fof(f160,plain,(
% 0.18/0.39    spl0_1 <=> part_of(sum(sk14,sk15),sum(sk14,sk16))),
% 0.18/0.39    introduced(split_symbol_definition)).
% 0.18/0.39  fof(f161,plain,(
% 0.18/0.39    part_of(sum(sk14,sk15),sum(sk14,sk16))|~spl0_1),
% 0.18/0.39    inference(component_clause,[status(thm)],[f160])).
% 0.18/0.39  fof(f169,plain,(
% 0.18/0.39    ![X0,X1,X2]: (~sum(sk14,sk16)=sum(X0,X1)|~part_of(X2,X1)|~incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),X2))),
% 0.18/0.39    inference(resolution,[status(thm)],[f151,f54])).
% 0.18/0.39  fof(f182,plain,(
% 0.18/0.39    $false|~spl0_1),
% 0.18/0.39    inference(forward_subsumption_resolution,[status(thm)],[f161,f120])).
% 0.18/0.39  fof(f183,plain,(
% 0.18/0.39    ~spl0_1),
% 0.18/0.39    inference(contradiction_clause,[status(thm)],[f182])).
% 0.18/0.39  fof(f184,plain,(
% 0.18/0.39    spl0_3 <=> ~sum(sk14,sk16)=sum(X0,sk16)),
% 0.18/0.39    introduced(split_symbol_definition)).
% 0.18/0.39  fof(f185,plain,(
% 0.18/0.39    ![X0]: (~sum(sk14,sk16)=sum(X0,sk16)|~spl0_3)),
% 0.18/0.39    inference(component_clause,[status(thm)],[f184])).
% 0.18/0.39  fof(f187,plain,(
% 0.18/0.39    spl0_4 <=> incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk15)),
% 0.18/0.39    introduced(split_symbol_definition)).
% 0.18/0.39  fof(f189,plain,(
% 0.18/0.39    ~incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk15)|spl0_4),
% 0.18/0.39    inference(component_clause,[status(thm)],[f187])).
% 0.18/0.39  fof(f190,plain,(
% 0.18/0.39    ![X0]: (~sum(sk14,sk16)=sum(X0,sk16)|~incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk15))),
% 0.18/0.39    inference(resolution,[status(thm)],[f169,f117])).
% 0.18/0.39  fof(f191,plain,(
% 0.18/0.39    spl0_3|~spl0_4),
% 0.18/0.39    inference(split_clause,[status(thm)],[f190,f184,f187])).
% 0.18/0.39  fof(f193,plain,(
% 0.18/0.39    ![X0,X1]: (~X0=sum(X1,sk15)|~incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),X0)|incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),X1)|spl0_4)),
% 0.18/0.39    inference(resolution,[status(thm)],[f189,f58])).
% 0.18/0.39  fof(f201,plain,(
% 0.18/0.39    ![X0,X1,X2]: (~X0=sum(X1,sk15)|~incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),X0)|~sum(sk14,sk16)=sum(X1,X2)|spl0_4)),
% 0.18/0.39    inference(resolution,[status(thm)],[f193,f152])).
% 0.18/0.39  fof(f215,plain,(
% 0.18/0.39    $false|~spl0_3),
% 0.18/0.39    inference(equality_resolution,[status(esa)],[f185])).
% 0.18/0.39  fof(f216,plain,(
% 0.18/0.39    ~spl0_3),
% 0.18/0.39    inference(contradiction_clause,[status(thm)],[f215])).
% 0.18/0.39  fof(f613,plain,(
% 0.18/0.39    spl0_37 <=> ~sum(sk14,sk15)=sum(X0,sk15)|~sum(sk14,sk16)=sum(X0,X1)),
% 0.18/0.39    introduced(split_symbol_definition)).
% 0.18/0.39  fof(f614,plain,(
% 0.18/0.39    ![X0,X1]: (~sum(sk14,sk15)=sum(X0,sk15)|~sum(sk14,sk16)=sum(X0,X1)|~spl0_37)),
% 0.18/0.39    inference(component_clause,[status(thm)],[f613])).
% 0.18/0.39  fof(f616,plain,(
% 0.18/0.39    ![X0,X1]: (~sum(sk14,sk15)=sum(X0,sk15)|~sum(sk14,sk16)=sum(X0,X1)|part_of(sum(sk14,sk15),sum(sk14,sk16))|spl0_4)),
% 0.18/0.39    inference(resolution,[status(thm)],[f201,f55])).
% 0.18/0.39  fof(f617,plain,(
% 0.18/0.39    spl0_37|spl0_1|spl0_4),
% 0.18/0.39    inference(split_clause,[status(thm)],[f616,f613,f160,f187])).
% 0.18/0.39  fof(f624,plain,(
% 0.18/0.39    ![X0]: (~sum(sk14,sk16)=sum(sk14,X0)|~spl0_37)),
% 0.18/0.39    inference(equality_resolution,[status(esa)],[f614])).
% 0.18/0.39  fof(f625,plain,(
% 0.18/0.39    $false|~spl0_37),
% 0.18/0.39    inference(equality_resolution,[status(esa)],[f624])).
% 0.18/0.39  fof(f626,plain,(
% 0.18/0.39    ~spl0_37),
% 0.18/0.39    inference(contradiction_clause,[status(thm)],[f625])).
% 0.18/0.39  fof(f627,plain,(
% 0.18/0.39    $false),
% 0.18/0.39    inference(sat_refutation,[status(thm)],[f183,f191,f216,f617,f626])).
% 0.18/0.39  % SZS output end CNFRefutation for theBenchmark.p
% 0.65/0.62  % Elapsed time: 0.069827 seconds
% 0.65/0.62  % CPU time: 0.422508 seconds
% 0.65/0.62  % Memory used: 24.797 MB
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