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Drodi-SAT---4.1.1.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : GEO206+3 : TPTP v9.3.1. Bugfixed v4.0.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n004.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 12:26:05 PM UTC 2026

% Result   : Theorem 0.07s 5.39s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO206+3 : TPTP v9.3.1. Bugfixed v4.0.1.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/5.36  % Computer : n004.cluster.edu
% 0.07/5.36  % Model    : x86_64 x86_64
% 0.07/5.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/5.36  % Memory   : 8046.5625MB
% 0.07/5.36  % OS       : Linux 6.8.0-71-generic
% 0.07/5.36  % CPULimit : 300
% 0.07/5.36  % WCLimit  : 300
% 0.07/5.36  % DateTime : Sun Sep 20 13:22:57 UTC 2026
% 0.07/5.36  % CPUTime  : 
% 0.07/5.37  % Drodi V4.1.1
% 0.07/5.39  % Refutation found
% 0.07/5.39  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/5.39  % SZS output start CNFRefutation for theBenchmark
% 0.07/5.39  fof(f6,axiom,(
% 0.07/5.39    (! [X,Y,Z] :( convergent_lines(X,Y)=> ( convergent_lines(X,Z)| convergent_lines(Y,Z) ) ) )),
% 0.07/5.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39  fof(f15,axiom,(
% 0.07/5.39    (! [X,Y] :( distinct_lines(X,Y)=> convergent_lines(X,Y) ) )),
% 0.07/5.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39  fof(f16,axiom,(
% 0.07/5.39    (! [X,Y] : ~ convergent_lines(parallel_through_point(Y,X),Y) )),
% 0.07/5.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39  fof(f32,axiom,(
% 0.07/5.39    (! [X,Y] :( equal_lines(X,Y)<=> ~ distinct_lines(X,Y) ) )),
% 0.07/5.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39  fof(f33,axiom,(
% 0.07/5.39    (! [X,Y] :( parallel_lines(X,Y)<=> ~ convergent_lines(X,Y) ) )),
% 0.07/5.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39  fof(f36,conjecture,(
% 0.07/5.39    (! [X,Y,Z] :( ( incident_point_and_line(X,Y)& parallel_lines(Y,Z) )=> equal_lines(Y,parallel_through_point(Z,X)) ) )),
% 0.07/5.39    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.07/5.39  fof(f37,negated_conjecture,(
% 0.07/5.39    ~((! [X,Y,Z] :( ( incident_point_and_line(X,Y)& parallel_lines(Y,Z) )=> equal_lines(Y,parallel_through_point(Z,X)) ) ))),
% 0.07/5.39    inference(negated_conjecture,[status(cth)],[f36])).
% 0.07/5.39  fof(f47,plain,(
% 0.07/5.39    ![X,Y,Z]: (~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))),
% 0.07/5.39    inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.07/5.39  fof(f48,plain,(
% 0.07/5.39    ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (convergent_lines(X,Z)|convergent_lines(Y,Z))))),
% 0.07/5.39    inference(miniscoping,[status(thm)],[f47])).
% 0.07/5.39  fof(f49,plain,(
% 0.07/5.39    ![X0,X1,X2]: (~convergent_lines(X0,X1)|convergent_lines(X0,X2)|convergent_lines(X1,X2))),
% 0.07/5.39    inference(cnf_transformation,[status(thm)],[f48])).
% 0.07/5.39  fof(f69,plain,(
% 0.07/5.39    ![X,Y]: (~distinct_lines(X,Y)|convergent_lines(X,Y))),
% 0.07/5.39    inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.07/5.39  fof(f70,plain,(
% 0.07/5.39    ![X0,X1]: (~distinct_lines(X0,X1)|convergent_lines(X0,X1))),
% 0.07/5.39    inference(cnf_transformation,[status(thm)],[f69])).
% 0.07/5.39  fof(f71,plain,(
% 0.07/5.39    ![X0,X1]: (~convergent_lines(parallel_through_point(X0,X1),X0))),
% 0.07/5.39    inference(cnf_transformation,[status(thm)],[f16])).
% 0.07/5.39  fof(f111,plain,(
% 0.07/5.39    ![X,Y]: ((~equal_lines(X,Y)|~distinct_lines(X,Y))&(equal_lines(X,Y)|distinct_lines(X,Y)))),
% 0.07/5.39    inference(NNF_transformation,[status(thm)],[f32])).
% 0.07/5.39  fof(f112,plain,(
% 0.07/5.39    (![X,Y]: (~equal_lines(X,Y)|~distinct_lines(X,Y)))&(![X,Y]: (equal_lines(X,Y)|distinct_lines(X,Y)))),
% 0.07/5.39    inference(miniscoping,[status(thm)],[f111])).
% 0.07/5.39  fof(f114,plain,(
% 0.07/5.39    ![X0,X1]: (equal_lines(X0,X1)|distinct_lines(X0,X1))),
% 0.07/5.39    inference(cnf_transformation,[status(thm)],[f112])).
% 0.07/5.39  fof(f115,plain,(
% 0.07/5.39    ![X,Y]: ((~parallel_lines(X,Y)|~convergent_lines(X,Y))&(parallel_lines(X,Y)|convergent_lines(X,Y)))),
% 0.07/5.39    inference(NNF_transformation,[status(thm)],[f33])).
% 0.07/5.39  fof(f116,plain,(
% 0.07/5.39    (![X,Y]: (~parallel_lines(X,Y)|~convergent_lines(X,Y)))&(![X,Y]: (parallel_lines(X,Y)|convergent_lines(X,Y)))),
% 0.07/5.39    inference(miniscoping,[status(thm)],[f115])).
% 0.07/5.39  fof(f117,plain,(
% 0.07/5.39    ![X0,X1]: (~parallel_lines(X0,X1)|~convergent_lines(X0,X1))),
% 0.07/5.39    inference(cnf_transformation,[status(thm)],[f116])).
% 0.07/5.40  fof(f127,plain,(
% 0.07/5.40    (?[X,Y,Z]: ((incident_point_and_line(X,Y)&parallel_lines(Y,Z))&~equal_lines(Y,parallel_through_point(Z,X))))),
% 0.07/5.40    inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.07/5.40  fof(f128,plain,(
% 0.07/5.40    ((incident_point_and_line(sK0_skl,sK1_skl)&parallel_lines(sK1_skl,sK2_skl))&~equal_lines(sK1_skl,parallel_through_point(sK2_skl,sK0_skl)))),
% 0.07/5.40    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl),skolemize(Z,sK2_skl)],[f127])).
% 0.07/5.40  fof(f130,plain,(
% 0.07/5.40    parallel_lines(sK1_skl,sK2_skl)),
% 0.07/5.40    inference(cnf_transformation,[status(thm)],[f128])).
% 0.07/5.40  fof(f131,plain,(
% 0.07/5.40    ~equal_lines(sK1_skl,parallel_through_point(sK2_skl,sK0_skl))),
% 0.07/5.40    inference(cnf_transformation,[status(thm)],[f128])).
% 0.07/5.40  fof(f142,plain,(
% 0.07/5.40    distinct_lines(sK1_skl,parallel_through_point(sK2_skl,sK0_skl))),
% 0.07/5.40    inference(resolution,[status(thm)],[f114,f131])).
% 0.07/5.40  fof(f149,plain,(
% 0.07/5.40    convergent_lines(sK1_skl,parallel_through_point(sK2_skl,sK0_skl))),
% 0.07/5.40    inference(resolution,[status(thm)],[f142,f70])).
% 0.07/5.40  fof(f150,plain,(
% 0.07/5.40    ![X0]: (convergent_lines(sK1_skl,X0)|convergent_lines(parallel_through_point(sK2_skl,sK0_skl),X0))),
% 0.07/5.40    inference(resolution,[status(thm)],[f149,f49])).
% 0.07/5.40  fof(f156,plain,(
% 0.07/5.40    convergent_lines(sK1_skl,sK2_skl)),
% 0.07/5.40    inference(resolution,[status(thm)],[f150,f71])).
% 0.07/5.40  fof(f161,plain,(
% 0.07/5.40    ~parallel_lines(sK1_skl,sK2_skl)),
% 0.07/5.40    inference(resolution,[status(thm)],[f156,f117])).
% 0.07/5.40  fof(f162,plain,(
% 0.07/5.40    $false),
% 0.07/5.40    inference(forward_subsumption_resolution,[status(thm)],[f161,f130])).
% 0.07/5.40  % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.42  % Elapsed time: 0.045935 seconds
% 0.13/5.42  % CPU time: 0.122330 seconds
% 0.13/5.42  % Total memory used: 18.200 MB
% 0.13/5.42  % Net memory used: 18.128 MB
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