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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : GEO208+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n005.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 12:26:06 PM UTC 2026

% Result   : Theorem 0.10s 0.40s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO208+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37  % Computer : n005.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 20 13:24:34 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.38  % Drodi V4.1.1
% 0.10/0.40  % Refutation found
% 0.10/0.40  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40  % SZS output start CNFRefutation for theBenchmark
% 0.10/0.40  fof(f15,axiom,(
% 0.10/0.40    (! [X,Y] :( distinct_lines(X,Y)=> convergent_lines(X,Y) ) )),
% 0.10/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40  fof(f32,axiom,(
% 0.10/0.40    (! [X,Y] :( equal_lines(X,Y)<=> ~ distinct_lines(X,Y) ) )),
% 0.10/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40  fof(f33,axiom,(
% 0.10/0.40    (! [X,Y] :( parallel_lines(X,Y)<=> ~ convergent_lines(X,Y) ) )),
% 0.10/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40  fof(f36,conjecture,(
% 0.10/0.40    (! [X,Y,Z] :( ( incident_point_and_line(X,Y)& incident_point_and_line(X,Z)& parallel_lines(Y,Z) )=> equal_lines(Y,Z) ) )),
% 0.10/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.40  fof(f37,negated_conjecture,(
% 0.10/0.40    ~((! [X,Y,Z] :( ( incident_point_and_line(X,Y)& incident_point_and_line(X,Z)& parallel_lines(Y,Z) )=> equal_lines(Y,Z) ) ))),
% 0.10/0.40    inference(negated_conjecture,[status(cth)],[f36])).
% 0.10/0.40  fof(f69,plain,(
% 0.10/0.40    ![X,Y]: (~distinct_lines(X,Y)|convergent_lines(X,Y))),
% 0.10/0.40    inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.10/0.40  fof(f70,plain,(
% 0.10/0.40    ![X0,X1]: (~distinct_lines(X0,X1)|convergent_lines(X0,X1))),
% 0.10/0.40    inference(cnf_transformation,[status(thm)],[f69])).
% 0.10/0.40  fof(f111,plain,(
% 0.10/0.40    ![X,Y]: ((~equal_lines(X,Y)|~distinct_lines(X,Y))&(equal_lines(X,Y)|distinct_lines(X,Y)))),
% 0.10/0.40    inference(NNF_transformation,[status(thm)],[f32])).
% 0.10/0.40  fof(f112,plain,(
% 0.10/0.40    (![X,Y]: (~equal_lines(X,Y)|~distinct_lines(X,Y)))&(![X,Y]: (equal_lines(X,Y)|distinct_lines(X,Y)))),
% 0.10/0.40    inference(miniscoping,[status(thm)],[f111])).
% 0.10/0.40  fof(f114,plain,(
% 0.10/0.40    ![X0,X1]: (equal_lines(X0,X1)|distinct_lines(X0,X1))),
% 0.10/0.40    inference(cnf_transformation,[status(thm)],[f112])).
% 0.10/0.40  fof(f115,plain,(
% 0.10/0.40    ![X,Y]: ((~parallel_lines(X,Y)|~convergent_lines(X,Y))&(parallel_lines(X,Y)|convergent_lines(X,Y)))),
% 0.10/0.40    inference(NNF_transformation,[status(thm)],[f33])).
% 0.10/0.40  fof(f116,plain,(
% 0.10/0.40    (![X,Y]: (~parallel_lines(X,Y)|~convergent_lines(X,Y)))&(![X,Y]: (parallel_lines(X,Y)|convergent_lines(X,Y)))),
% 0.10/0.40    inference(miniscoping,[status(thm)],[f115])).
% 0.10/0.40  fof(f117,plain,(
% 0.10/0.40    ![X0,X1]: (~parallel_lines(X0,X1)|~convergent_lines(X0,X1))),
% 0.10/0.40    inference(cnf_transformation,[status(thm)],[f116])).
% 0.10/0.40  fof(f127,plain,(
% 0.10/0.40    (?[X,Y,Z]: (((incident_point_and_line(X,Y)&incident_point_and_line(X,Z))&parallel_lines(Y,Z))&~equal_lines(Y,Z)))),
% 0.10/0.40    inference(pre_NNF_transformation,[status(thm)],[f37])).
% 0.10/0.40  fof(f128,plain,(
% 0.10/0.40    ?[Y,Z]: (((?[X]: (incident_point_and_line(X,Y)&incident_point_and_line(X,Z)))&parallel_lines(Y,Z))&~equal_lines(Y,Z))),
% 0.10/0.40    inference(miniscoping,[status(thm)],[f127])).
% 0.10/0.40  fof(f129,plain,(
% 0.10/0.40    (((incident_point_and_line(sK2_skl,sK0_skl)&incident_point_and_line(sK2_skl,sK1_skl))&parallel_lines(sK0_skl,sK1_skl))&~equal_lines(sK0_skl,sK1_skl))),
% 0.10/0.40    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(Y,sK0_skl),skolemize(Z,sK1_skl),skolemize(X,sK2_skl)],[f128])).
% 0.10/0.40  fof(f132,plain,(
% 0.10/0.40    parallel_lines(sK0_skl,sK1_skl)),
% 0.10/0.40    inference(cnf_transformation,[status(thm)],[f129])).
% 0.10/0.40  fof(f133,plain,(
% 0.10/0.40    ~equal_lines(sK0_skl,sK1_skl)),
% 0.10/0.40    inference(cnf_transformation,[status(thm)],[f129])).
% 0.10/0.40  fof(f144,plain,(
% 0.10/0.40    distinct_lines(sK0_skl,sK1_skl)),
% 0.10/0.40    inference(resolution,[status(thm)],[f114,f133])).
% 0.10/0.40  fof(f146,plain,(
% 0.10/0.40    convergent_lines(sK0_skl,sK1_skl)),
% 0.10/0.40    inference(resolution,[status(thm)],[f70,f144])).
% 0.10/0.40  fof(f147,plain,(
% 0.10/0.40    ~parallel_lines(sK0_skl,sK1_skl)),
% 0.10/0.40    inference(resolution,[status(thm)],[f146,f117])).
% 0.10/0.40  fof(f148,plain,(
% 0.10/0.40    $false),
% 0.10/0.40    inference(forward_subsumption_resolution,[status(thm)],[f147,f132])).
% 0.10/0.40  % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.42  % Elapsed time: 0.039502 seconds
% 0.10/0.42  % CPU time: 0.108588 seconds
% 0.10/0.42  % Total memory used: 16.957 MB
% 0.10/0.42  % Net memory used: 16.893 MB
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