%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO203+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 12:26:04 PM UTC 2026
% Result : Theorem 0.04s 0.32s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO203+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 20 13:26:23 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 % Drodi V4.1.1
% 0.04/0.32 % Refutation found
% 0.04/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.04/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.04/0.32 fof(f7,axiom,(
% 0.04/0.32 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(X,line_connecting(X,Y)) ) )),
% 0.04/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.32 fof(f8,axiom,(
% 0.04/0.32 (! [X,Y] :( distinct_points(X,Y)=> ~ apart_point_and_line(Y,line_connecting(X,Y)) ) )),
% 0.04/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.32 fof(f9,axiom,(
% 0.04/0.32 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),X) ) )),
% 0.04/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.32 fof(f11,axiom,(
% 0.04/0.32 (! [X,Y,U,V] :( ( distinct_points(X,Y)& distinct_lines(U,V) )=> ( apart_point_and_line(X,U)| apart_point_and_line(X,V)| apart_point_and_line(Y,U)| apart_point_and_line(Y,V) ) ) )),
% 0.04/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.32 fof(f15,conjecture,(
% 0.04/0.32 (! [X,Y,Z] :( ( convergent_lines(X,Y)& convergent_lines(X,Z)& distinct_points(intersection_point(X,Y),intersection_point(X,Z)) )=> ~ distinct_lines(line_connecting(intersection_point(X,Y),intersection_point(X,Z)),X) ) )),
% 0.04/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.04/0.32 fof(f16,negated_conjecture,(
% 0.04/0.32 ~((! [X,Y,Z] :( ( convergent_lines(X,Y)& convergent_lines(X,Z)& distinct_points(intersection_point(X,Y),intersection_point(X,Z)) )=> ~ distinct_lines(line_connecting(intersection_point(X,Y),intersection_point(X,Z)),X) ) ))),
% 0.04/0.32 inference(negated_conjecture,[status(cth)],[f15])).
% 0.04/0.32 fof(f29,plain,(
% 0.04/0.32 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(X,line_connecting(X,Y)))),
% 0.04/0.32 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.04/0.32 fof(f30,plain,(
% 0.04/0.32 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X0,line_connecting(X0,X1)))),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f29])).
% 0.04/0.32 fof(f31,plain,(
% 0.04/0.32 ![X,Y]: (~distinct_points(X,Y)|~apart_point_and_line(Y,line_connecting(X,Y)))),
% 0.04/0.32 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.04/0.32 fof(f32,plain,(
% 0.04/0.32 ![X0,X1]: (~distinct_points(X0,X1)|~apart_point_and_line(X1,line_connecting(X0,X1)))),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f31])).
% 0.04/0.32 fof(f33,plain,(
% 0.04/0.32 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),X))),
% 0.04/0.32 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.04/0.32 fof(f34,plain,(
% 0.04/0.32 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X0))),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f33])).
% 0.04/0.32 fof(f37,plain,(
% 0.04/0.32 ![X,Y,U,V]: ((~distinct_points(X,Y)|~distinct_lines(U,V))|(((apart_point_and_line(X,U)|apart_point_and_line(X,V))|apart_point_and_line(Y,U))|apart_point_and_line(Y,V)))),
% 0.04/0.32 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.04/0.32 fof(f38,plain,(
% 0.04/0.32 ![X0,X1,X2,X3]: (~distinct_points(X0,X1)|~distinct_lines(X2,X3)|apart_point_and_line(X0,X2)|apart_point_and_line(X0,X3)|apart_point_and_line(X1,X2)|apart_point_and_line(X1,X3))),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f37])).
% 0.04/0.32 fof(f48,plain,(
% 0.04/0.32 (?[X,Y,Z]: (((convergent_lines(X,Y)&convergent_lines(X,Z))&distinct_points(intersection_point(X,Y),intersection_point(X,Z)))&distinct_lines(line_connecting(intersection_point(X,Y),intersection_point(X,Z)),X)))),
% 0.04/0.32 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.04/0.32 fof(f49,plain,(
% 0.04/0.32 (((convergent_lines(sK0_skl,sK1_skl)&convergent_lines(sK0_skl,sK2_skl))&distinct_points(intersection_point(sK0_skl,sK1_skl),intersection_point(sK0_skl,sK2_skl)))&distinct_lines(line_connecting(intersection_point(sK0_skl,sK1_skl),intersection_point(sK0_skl,sK2_skl)),sK0_skl))),
% 0.04/0.32 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)],[f48])).
% 0.04/0.32 fof(f50,plain,(
% 0.04/0.32 convergent_lines(sK0_skl,sK1_skl)),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f49])).
% 0.04/0.32 fof(f51,plain,(
% 0.04/0.32 convergent_lines(sK0_skl,sK2_skl)),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f49])).
% 0.04/0.32 fof(f52,plain,(
% 0.04/0.32 distinct_points(intersection_point(sK0_skl,sK1_skl),intersection_point(sK0_skl,sK2_skl))),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f49])).
% 0.04/0.32 fof(f53,plain,(
% 0.04/0.32 distinct_lines(line_connecting(intersection_point(sK0_skl,sK1_skl),intersection_point(sK0_skl,sK2_skl)),sK0_skl)),
% 0.04/0.32 inference(cnf_transformation,[status(thm)],[f49])).
% 0.04/0.32 fof(f70,plain,(
% 0.04/0.32 ![X0,X1]: (~distinct_lines(X0,X1)|apart_point_and_line(intersection_point(sK0_skl,sK1_skl),X0)|apart_point_and_line(intersection_point(sK0_skl,sK1_skl),X1)|apart_point_and_line(intersection_point(sK0_skl,sK2_skl),X0)|apart_point_and_line(intersection_point(sK0_skl,sK2_skl),X1))),
% 0.04/0.32 inference(resolution,[status(thm)],[f38,f52])).
% 0.04/0.32 fof(f85,plain,(
% 0.04/0.32 apart_point_and_line(intersection_point(sK0_skl,sK1_skl),line_connecting(intersection_point(sK0_skl,sK1_skl),intersection_point(sK0_skl,sK2_skl)))|apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK0_skl)|apart_point_and_line(intersection_point(sK0_skl,sK2_skl),line_connecting(intersection_point(sK0_skl,sK1_skl),intersection_point(sK0_skl,sK2_skl)))|apart_point_and_line(intersection_point(sK0_skl,sK2_skl),sK0_skl)),
% 0.04/0.32 inference(resolution,[status(thm)],[f70,f53])).
% 0.04/0.32 fof(f90,definition,(
% 0.04/0.32 sQ1_spl <=> (apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK0_skl))),
% 0.04/0.32 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.04/0.32 fof(f91,plain,(
% 0.04/0.32 apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK0_skl)|~sQ1_spl),
% 0.04/0.32 inference(component_clause,[status(thm)],[f90])).
% 0.04/0.32 fof(f96,definition,(
% 0.04/0.32 sQ3_spl <=> (apart_point_and_line(intersection_point(sK0_skl,sK2_skl),sK0_skl))),
% 0.04/0.32 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.04/0.32 fof(f97,plain,(
% 0.04/0.32 apart_point_and_line(intersection_point(sK0_skl,sK2_skl),sK0_skl)|~sQ3_spl),
% 0.04/0.32 inference(component_clause,[status(thm)],[f96])).
% 0.04/0.32 fof(f111,definition,(
% 0.04/0.32 sQ7_spl <=> (apart_point_and_line(intersection_point(sK0_skl,sK1_skl),line_connecting(intersection_point(sK0_skl,sK1_skl),intersection_point(sK0_skl,sK2_skl))))),
% 0.04/0.32 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.04/0.32 fof(f112,plain,(
% 0.04/0.32 apart_point_and_line(intersection_point(sK0_skl,sK1_skl),line_connecting(intersection_point(sK0_skl,sK1_skl),intersection_point(sK0_skl,sK2_skl)))|~sQ7_spl),
% 0.04/0.32 inference(component_clause,[status(thm)],[f111])).
% 0.04/0.32 fof(f114,definition,(
% 0.04/0.32 sQ8_spl <=> (apart_point_and_line(intersection_point(sK0_skl,sK2_skl),line_connecting(intersection_point(sK0_skl,sK1_skl),intersection_point(sK0_skl,sK2_skl))))),
% 0.04/0.32 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.04/0.32 fof(f115,plain,(
% 0.04/0.32 apart_point_and_line(intersection_point(sK0_skl,sK2_skl),line_connecting(intersection_point(sK0_skl,sK1_skl),intersection_point(sK0_skl,sK2_skl)))|~sQ8_spl),
% 0.04/0.32 inference(component_clause,[status(thm)],[f114])).
% 0.04/0.32 fof(f117,plain,(
% 0.04/0.32 sQ7_spl|sQ1_spl|sQ8_spl|sQ3_spl),
% 0.04/0.32 inference(split_clause,[status(thm)],[f85,f111,f90,f114,f96])).
% 0.04/0.32 fof(f129,plain,(
% 0.04/0.32 ~convergent_lines(sK0_skl,sK2_skl)|~sQ3_spl),
% 0.04/0.32 inference(resolution,[status(thm)],[f97,f34])).
% 0.04/0.32 fof(f132,plain,(
% 0.04/0.32 $false|~sQ3_spl),
% 0.04/0.32 inference(forward_subsumption_resolution,[status(thm)],[f129,f51])).
% 0.04/0.32 fof(f133,plain,(
% 0.04/0.32 ~sQ3_spl),
% 0.04/0.32 inference(contradiction_clause,[status(thm)],[f132])).
% 0.04/0.32 fof(f134,plain,(
% 0.04/0.32 ~convergent_lines(sK0_skl,sK1_skl)|~sQ1_spl),
% 0.04/0.32 inference(resolution,[status(thm)],[f91,f34])).
% 0.04/0.32 fof(f137,plain,(
% 0.04/0.32 $false|~sQ1_spl),
% 0.04/0.32 inference(forward_subsumption_resolution,[status(thm)],[f134,f50])).
% 0.04/0.32 fof(f138,plain,(
% 0.04/0.32 ~sQ1_spl),
% 0.04/0.32 inference(contradiction_clause,[status(thm)],[f137])).
% 0.04/0.32 fof(f624,plain,(
% 0.04/0.32 ~distinct_points(intersection_point(sK0_skl,sK1_skl),intersection_point(sK0_skl,sK2_skl))|~sQ8_spl),
% 0.04/0.32 inference(resolution,[status(thm)],[f115,f32])).
% 0.04/0.32 fof(f627,plain,(
% 0.04/0.32 $false|~sQ8_spl),
% 0.04/0.32 inference(forward_subsumption_resolution,[status(thm)],[f624,f52])).
% 0.04/0.32 fof(f628,plain,(
% 0.04/0.32 ~sQ8_spl),
% 0.04/0.32 inference(contradiction_clause,[status(thm)],[f627])).
% 0.04/0.32 fof(f714,plain,(
% 0.04/0.32 ~distinct_points(intersection_point(sK0_skl,sK1_skl),intersection_point(sK0_skl,sK2_skl))|~sQ7_spl),
% 0.04/0.32 inference(resolution,[status(thm)],[f112,f30])).
% 0.04/0.32 fof(f717,plain,(
% 0.04/0.32 $false|~sQ7_spl),
% 0.04/0.32 inference(forward_subsumption_resolution,[status(thm)],[f714,f52])).
% 0.04/0.32 fof(f718,plain,(
% 0.04/0.32 ~sQ7_spl),
% 0.04/0.32 inference(contradiction_clause,[status(thm)],[f717])).
% 0.04/0.32 fof(f719,plain,(
% 0.04/0.32 $false),
% 0.04/0.32 inference(sat_refutation,[status(thm)],[f117,f133,f138,f628,f718])).
% 0.04/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.34 % Elapsed time: 0.032915 seconds
% 0.08/0.34 % CPU time: 0.122019 seconds
% 0.08/0.34 % Total memory used: 16.181 MB
% 0.08/0.34 % Net memory used: 15.638 MB
%------------------------------------------------------------------------------