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Drodi-SAT---4.1.1.UNS-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : GEO083-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n011.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 12:25:44 PM UTC 2026

% Result   : Unsatisfiable 28.52s 4.03s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO083-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36  % Computer : n011.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Sun Sep 20 10:15:24 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.14/0.38  % Drodi V4.1.1
% 28.52/4.03  % Refutation found
% 28.52/4.03  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 28.52/4.03  % SZS output start CNFRefutation for theBenchmark
% 28.52/4.03  fof(f1,axiom,(
% 28.52/4.03    (![A,B,C]: (( ~ part_of(A,B)| ~ incident_c(C,A)| incident_c(C,B) ) ))),
% 28.52/4.03    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 28.52/4.03  fof(f2,axiom,(
% 28.52/4.03    (![A,B]: (( incident_c(ax0_sk1(A,B),A)| part_of(A,B) ) ))),
% 28.52/4.03    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 28.52/4.03  fof(f3,axiom,(
% 28.52/4.03    (![A,B]: (( ~ incident_c(ax0_sk1(A,B),B)| part_of(A,B) ) ))),
% 28.52/4.03    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 28.52/4.03  fof(f4,axiom,(
% 28.52/4.03    (![A,B,C,D]: (( A != sum(B,C)| ~ incident_c(D,A)| incident_c(D,B)| incident_c(D,C) ) ))),
% 28.52/4.03    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 28.52/4.03  fof(f5,axiom,(
% 28.52/4.03    (![A,B,C,D]: (( A != sum(B,C)| ~ incident_c(D,B)| incident_c(D,A) ) ))),
% 28.52/4.03    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 28.52/4.03  fof(f6,axiom,(
% 28.52/4.03    (![A,B,C,D]: (( A != sum(B,C)| ~ incident_c(D,C)| incident_c(D,A) ) ))),
% 28.52/4.03    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 28.52/4.03  fof(f49,negated_conjecture,(
% 28.52/4.03    part_of(sk15,sk16) ),
% 28.52/4.03    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 28.52/4.03  fof(f52,negated_conjecture,(
% 28.52/4.03    ~ part_of(sum(sk14,sk15),sum(sk14,sk16)) ),
% 28.52/4.03    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 28.52/4.03  fof(f53,plain,(
% 28.52/4.03    ![B,C]: ((![A]: (~part_of(A,B)|~incident_c(C,A)))|incident_c(C,B))),
% 28.52/4.03    inference(miniscoping,[status(thm)],[f1])).
% 28.52/4.03  fof(f54,plain,(
% 28.52/4.03    ![X0,X1,X2]: (~part_of(X0,X1)|~incident_c(X2,X0)|incident_c(X2,X1))),
% 28.52/4.03    inference(cnf_transformation,[status(thm)],[f53])).
% 28.52/4.03  fof(f55,plain,(
% 28.52/4.03    ![X0,X1]: (incident_c(ax0_sk1(X0,X1),X0)|part_of(X0,X1))),
% 28.52/4.03    inference(cnf_transformation,[status(thm)],[f2])).
% 28.52/4.03  fof(f56,plain,(
% 28.52/4.03    ![X0,X1]: (~incident_c(ax0_sk1(X0,X1),X1)|part_of(X0,X1))),
% 28.52/4.03    inference(cnf_transformation,[status(thm)],[f3])).
% 28.52/4.03  fof(f57,plain,(
% 28.52/4.03    ![C,D]: ((![B]: ((![A]: (~A=sum(B,C)|~incident_c(D,A)))|incident_c(D,B)))|incident_c(D,C))),
% 28.52/4.03    inference(miniscoping,[status(thm)],[f4])).
% 28.52/4.03  fof(f58,plain,(
% 28.52/4.03    ![X0,X1,X2,X3]: (~X0=sum(X1,X2)|~incident_c(X3,X0)|incident_c(X3,X1)|incident_c(X3,X2))),
% 28.52/4.03    inference(cnf_transformation,[status(thm)],[f57])).
% 28.52/4.03  fof(f59,plain,(
% 28.52/4.03    ![A,D]: ((![B]: ((![C]: ~A=sum(B,C))|~incident_c(D,B)))|incident_c(D,A))),
% 28.52/4.03    inference(miniscoping,[status(thm)],[f5])).
% 28.52/4.03  fof(f60,plain,(
% 28.52/4.03    ![X0,X1,X2,X3]: (~X0=sum(X1,X2)|~incident_c(X3,X1)|incident_c(X3,X0))),
% 28.52/4.03    inference(cnf_transformation,[status(thm)],[f59])).
% 28.52/4.03  fof(f61,plain,(
% 28.52/4.03    ![A,D]: ((![C]: ((![B]: ~A=sum(B,C))|~incident_c(D,C)))|incident_c(D,A))),
% 28.52/4.03    inference(miniscoping,[status(thm)],[f6])).
% 28.52/4.03  fof(f62,plain,(
% 28.52/4.03    ![X0,X1,X2,X3]: (~X0=sum(X1,X2)|~incident_c(X3,X2)|incident_c(X3,X0))),
% 28.52/4.03    inference(cnf_transformation,[status(thm)],[f61])).
% 28.52/4.03  fof(f117,plain,(
% 28.52/4.03    part_of(sk15,sk16)),
% 28.52/4.03    inference(cnf_transformation,[status(thm)],[f49])).
% 28.52/4.03  fof(f120,plain,(
% 28.52/4.03    ~part_of(sum(sk14,sk15),sum(sk14,sk16))),
% 28.52/4.03    inference(cnf_transformation,[status(thm)],[f52])).
% 28.52/4.03  fof(f121,plain,(
% 28.52/4.03    ![X0,X1,X2]: (~incident_c(X0,sum(X1,X2))|incident_c(X0,X1)|incident_c(X0,X2))),
% 28.52/4.03    inference(destructive_equality_resolution,[status(thm)],[f58])).
% 28.52/4.03  fof(f122,plain,(
% 28.52/4.03    ![X0,X1,X2]: (~incident_c(X0,X1)|incident_c(X0,sum(X1,X2)))),
% 28.52/4.03    inference(destructive_equality_resolution,[status(thm)],[f60])).
% 28.52/4.03  fof(f123,plain,(
% 28.52/4.03    ![X0,X1,X2]: (~incident_c(X0,X1)|incident_c(X0,sum(X2,X1)))),
% 28.52/4.03    inference(destructive_equality_resolution,[status(thm)],[f62])).
% 28.52/4.03  fof(f204,plain,(
% 28.52/4.03    ![X0,X1,X2]: (part_of(sum(X0,X1),X2)|incident_c(ax0_sk1(sum(X0,X1),X2),X0)|incident_c(ax0_sk1(sum(X0,X1),X2),X1))),
% 28.52/4.03    inference(resolution,[status(thm)],[f55,f121])).
% 28.52/4.03  fof(f206,plain,(
% 28.52/4.03    ![X0,X1,X2]: (part_of(X0,sum(X1,X2))|~incident_c(ax0_sk1(X0,sum(X1,X2)),X2))),
% 28.52/4.03    inference(resolution,[status(thm)],[f56,f123])).
% 28.52/4.03  fof(f207,plain,(
% 28.52/4.03    ![X0,X1,X2]: (part_of(X0,sum(X1,X2))|~incident_c(ax0_sk1(X0,sum(X1,X2)),X1))),
% 28.52/4.03    inference(resolution,[status(thm)],[f56,f122])).
% 28.52/4.03  fof(f246,plain,(
% 28.52/4.03    ![X0,X1,X2,X3]: (part_of(X0,sum(X1,X2))|~part_of(X3,X2)|~incident_c(ax0_sk1(X0,sum(X1,X2)),X3))),
% 28.52/4.03    inference(resolution,[status(thm)],[f206,f54])).
% 28.52/4.03  fof(f265,plain,(
% 28.52/4.03    ![X0,X1]: (part_of(X0,sum(X1,sk16))|~incident_c(ax0_sk1(X0,sum(X1,sk16)),sk15))),
% 28.52/4.05    inference(resolution,[status(thm)],[f246,f117])).
% 28.52/4.05  fof(f2507,plain,(
% 28.52/4.05    ![X0,X1]: (part_of(sum(X0,sk15),sum(X1,sk16))|incident_c(ax0_sk1(sum(X0,sk15),sum(X1,sk16)),X0)|part_of(sum(X0,sk15),sum(X1,sk16)))),
% 28.52/4.05    inference(resolution,[status(thm)],[f204,f265])).
% 28.52/4.05  fof(f2581,plain,(
% 28.52/4.05    ![X0,X1]: (part_of(sum(X0,sk15),sum(X1,sk16))|incident_c(ax0_sk1(sum(X0,sk15),sum(X1,sk16)),X0))),
% 28.52/4.05    inference(duplicate_literals_removal,[status(thm)],[f2507])).
% 28.52/4.05  fof(f4566,plain,(
% 28.52/4.05    ![X0]: (part_of(sum(X0,sk15),sum(X0,sk16))|part_of(sum(X0,sk15),sum(X0,sk16)))),
% 28.52/4.05    inference(resolution,[status(thm)],[f2581,f207])).
% 28.52/4.05  fof(f4596,plain,(
% 28.52/4.05    ![X0]: (part_of(sum(X0,sk15),sum(X0,sk16)))),
% 28.52/4.05    inference(duplicate_literals_removal,[status(thm)],[f4566])).
% 28.52/4.05  fof(f4597,plain,(
% 28.52/4.05    $false),
% 28.52/4.05    inference(backward_subsumption_resolution,[status(thm)],[f120,f4596])).
% 28.52/4.05  % SZS output end CNFRefutation for theBenchmark.p
% 28.52/4.07  % Elapsed time: 3.682761 seconds
% 28.52/4.07  % CPU time: 28.879404 seconds
% 28.52/4.07  % Total memory used: 211.176 MB
% 28.52/4.07  % Net memory used: 191.548 MB
%------------------------------------------------------------------------------