%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO230+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 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 12:26:11 PM UTC 2026
% Result : Theorem 2.59s 0.76s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO230+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n004.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sun Sep 20 14:08:05 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 2.59/0.76 % Refutation found
% 2.59/0.76 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.59/0.76 % SZS output start CNFRefutation for theBenchmark
% 2.59/0.76 fof(f4,axiom,(
% 2.59/0.76 (! [L,A,B] :( before_on_line(L,A,B)<=> ( distinct_points(A,B)& ~ ( left_apart_point(A,L)| left_apart_point(A,reverse_line(L)) )& ~ ( left_apart_point(B,L)| left_apart_point(B,reverse_line(L)) )& ~ unequally_directed_lines(L,line_connecting(A,B)) ) ) )),
% 2.59/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.59/0.76 fof(f10,axiom,(
% 2.59/0.76 (! [L] : ~ unequally_directed_lines(L,L) )),
% 2.59/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.59/0.76 fof(f11,axiom,(
% 2.59/0.76 (! [L,M,N] :( unequally_directed_lines(L,M)=> ( unequally_directed_lines(L,N)| unequally_directed_lines(M,N) ) ) )),
% 2.59/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.59/0.76 fof(f14,axiom,(
% 2.59/0.76 (! [L,M] :( ( unequally_directed_lines(L,M)& unequally_directed_lines(L,reverse_line(M)) )=> ( left_convergent_lines(L,M)| left_convergent_lines(L,reverse_line(M)) ) ) )),
% 2.59/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.59/0.76 fof(f15,axiom,(
% 2.59/0.76 (! [A,L] :~ ( left_apart_point(A,L)| left_apart_point(A,reverse_line(L)) ) )),
% 2.59/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.59/0.76 fof(f16,axiom,(
% 2.59/0.76 (! [L,M] :~ ( left_convergent_lines(L,M)| left_convergent_lines(L,reverse_line(M)) ) )),
% 2.59/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.59/0.76 fof(f25,axiom,(
% 2.59/0.76 (! [A,B] : ~ unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))) )),
% 2.59/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.59/0.76 fof(f27,axiom,(
% 2.59/0.76 (! [A,B,L,M] :( ( distinct_points(A,B)& distinct_lines(L,M) )=> ( left_apart_point(A,L)| left_apart_point(B,L)| left_apart_point(A,M)| left_apart_point(B,M)| left_apart_point(A,reverse_line(L))| left_apart_point(B,reverse_line(L))| left_apart_point(A,reverse_line(M))| left_apart_point(B,reverse_line(M)) ) ) )),
% 2.59/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.59/0.76 fof(f32,conjecture,(
% 2.59/0.76 (! [A,B] :( distinct_points(A,B)=> ( ~ distinct_lines(line_connecting(A,B),line_connecting(B,A))& ~ unequally_directed_lines(line_connecting(B,A),line_connecting(A,B)) ) ) )),
% 2.59/0.76 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.59/0.76 fof(f33,negated_conjecture,(
% 2.59/0.76 ~((! [A,B] :( distinct_points(A,B)=> ( ~ distinct_lines(line_connecting(A,B),line_connecting(B,A))& ~ unequally_directed_lines(line_connecting(B,A),line_connecting(A,B)) ) ) ))),
% 2.59/0.76 inference(negated_conjecture,[status(cth)],[f32])).
% 2.59/0.76 fof(f52,plain,(
% 2.59/0.76 ![L,A,B]: (before_on_line(L,A,B)<=>(((distinct_points(A,B)&(~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L))))&(~left_apart_point(B,L)&~left_apart_point(B,reverse_line(L))))&~unequally_directed_lines(L,line_connecting(A,B))))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 2.59/0.76 fof(f53,plain,(
% 2.59/0.76 ![L,A,B]: ((~before_on_line(L,A,B)|(((distinct_points(A,B)&(~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L))))&(~left_apart_point(B,L)&~left_apart_point(B,reverse_line(L))))&~unequally_directed_lines(L,line_connecting(A,B))))&(before_on_line(L,A,B)|(((~distinct_points(A,B)|(left_apart_point(A,L)|left_apart_point(A,reverse_line(L))))|(left_apart_point(B,L)|left_apart_point(B,reverse_line(L))))|unequally_directed_lines(L,line_connecting(A,B)))))),
% 2.59/0.76 inference(NNF_transformation,[status(thm)],[f52])).
% 2.59/0.76 fof(f54,plain,(
% 2.59/0.76 (![L,A,B]: (~before_on_line(L,A,B)|(((distinct_points(A,B)&(~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L))))&(~left_apart_point(B,L)&~left_apart_point(B,reverse_line(L))))&~unequally_directed_lines(L,line_connecting(A,B)))))&(![L,A,B]: (before_on_line(L,A,B)|(((~distinct_points(A,B)|(left_apart_point(A,L)|left_apart_point(A,reverse_line(L))))|(left_apart_point(B,L)|left_apart_point(B,reverse_line(L))))|unequally_directed_lines(L,line_connecting(A,B)))))),
% 2.59/0.76 inference(miniscoping,[status(thm)],[f53])).
% 2.59/0.76 fof(f60,plain,(
% 2.59/0.76 ![X0,X1,X2]: (~before_on_line(X0,X1,X2)|~unequally_directed_lines(X0,line_connecting(X1,X2)))),
% 2.59/0.76 inference(cnf_transformation,[status(thm)],[f54])).
% 2.59/0.76 fof(f61,plain,(
% 2.59/0.76 ![X0,X1,X2]: (before_on_line(X0,X1,X2)|~distinct_points(X1,X2)|left_apart_point(X1,X0)|left_apart_point(X1,reverse_line(X0))|left_apart_point(X2,X0)|left_apart_point(X2,reverse_line(X0))|unequally_directed_lines(X0,line_connecting(X1,X2)))),
% 2.59/0.76 inference(cnf_transformation,[status(thm)],[f54])).
% 2.59/0.76 fof(f78,plain,(
% 2.59/0.76 ![X0]: (~unequally_directed_lines(X0,X0))),
% 2.59/0.76 inference(cnf_transformation,[status(thm)],[f10])).
% 2.59/0.76 fof(f79,plain,(
% 2.59/0.76 ![L,M,N]: (~unequally_directed_lines(L,M)|(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 2.59/0.76 fof(f80,plain,(
% 2.59/0.76 ![L,M]: (~unequally_directed_lines(L,M)|(![N]: (unequally_directed_lines(L,N)|unequally_directed_lines(M,N))))),
% 2.59/0.76 inference(miniscoping,[status(thm)],[f79])).
% 2.59/0.76 fof(f81,plain,(
% 2.59/0.76 ![X0,X1,X2]: (~unequally_directed_lines(X0,X1)|unequally_directed_lines(X0,X2)|unequally_directed_lines(X1,X2))),
% 2.59/0.76 inference(cnf_transformation,[status(thm)],[f80])).
% 2.59/0.76 fof(f90,plain,(
% 2.59/0.76 ![L,M]: ((~unequally_directed_lines(L,M)|~unequally_directed_lines(L,reverse_line(M)))|(left_convergent_lines(L,M)|left_convergent_lines(L,reverse_line(M))))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 2.59/0.76 fof(f91,plain,(
% 2.59/0.76 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1))|left_convergent_lines(X0,X1)|left_convergent_lines(X0,reverse_line(X1)))),
% 2.59/0.76 inference(cnf_transformation,[status(thm)],[f90])).
% 2.59/0.76 fof(f92,plain,(
% 2.59/0.76 ![A,L]: (~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L)))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 2.59/0.76 fof(f93,plain,(
% 2.59/0.76 (![A,L]: ~left_apart_point(A,L))&(![A,L]: ~left_apart_point(A,reverse_line(L)))),
% 2.59/0.76 inference(miniscoping,[status(thm)],[f92])).
% 2.59/0.76 fof(f94,plain,(
% 2.59/0.76 ![X0,X1]: (~left_apart_point(X0,X1))),
% 2.59/0.76 inference(cnf_transformation,[status(thm)],[f93])).
% 2.59/0.76 fof(f96,plain,(
% 2.59/0.76 ![L,M]: (~left_convergent_lines(L,M)&~left_convergent_lines(L,reverse_line(M)))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 2.59/0.76 fof(f97,plain,(
% 2.59/0.76 (![L,M]: ~left_convergent_lines(L,M))&(![L,M]: ~left_convergent_lines(L,reverse_line(M)))),
% 2.59/0.76 inference(miniscoping,[status(thm)],[f96])).
% 2.59/0.76 fof(f98,plain,(
% 2.59/0.76 ![X0,X1]: (~left_convergent_lines(X0,X1))),
% 2.59/0.76 inference(cnf_transformation,[status(thm)],[f97])).
% 2.59/0.76 fof(f116,plain,(
% 2.59/0.76 ![X0,X1]: (~unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))))),
% 2.59/0.76 inference(cnf_transformation,[status(thm)],[f25])).
% 2.59/0.76 fof(f118,plain,(
% 2.59/0.76 ![A,B,L,M]: ((~distinct_points(A,B)|~distinct_lines(L,M))|(((((((left_apart_point(A,L)|left_apart_point(B,L))|left_apart_point(A,M))|left_apart_point(B,M))|left_apart_point(A,reverse_line(L)))|left_apart_point(B,reverse_line(L)))|left_apart_point(A,reverse_line(M)))|left_apart_point(B,reverse_line(M))))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 2.59/0.76 fof(f119,plain,(
% 2.59/0.76 ![X0,X1,X2,X3]: (~distinct_points(X0,X1)|~distinct_lines(X2,X3)|left_apart_point(X0,X2)|left_apart_point(X1,X2)|left_apart_point(X0,X3)|left_apart_point(X1,X3)|left_apart_point(X0,reverse_line(X2))|left_apart_point(X1,reverse_line(X2))|left_apart_point(X0,reverse_line(X3))|left_apart_point(X1,reverse_line(X3)))),
% 2.59/0.76 inference(cnf_transformation,[status(thm)],[f118])).
% 2.59/0.76 fof(f130,plain,(
% 2.59/0.76 (?[A,B]: (distinct_points(A,B)&(distinct_lines(line_connecting(A,B),line_connecting(B,A))|unequally_directed_lines(line_connecting(B,A),line_connecting(A,B)))))),
% 2.59/0.76 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 2.59/0.76 fof(f131,plain,(
% 2.59/0.76 (distinct_points(sK0_skl,sK1_skl)&(distinct_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK1_skl,sK0_skl))|unequally_directed_lines(line_connecting(sK1_skl,sK0_skl),line_connecting(sK0_skl,sK1_skl))))),
% 2.59/0.76 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl)],[f130])).
% 2.59/0.76 fof(f132,plain,(
% 2.59/0.76 distinct_points(sK0_skl,sK1_skl)),
% 2.59/0.76 inference(cnf_transformation,[status(thm)],[f131])).
% 2.59/0.76 fof(f133,plain,(
% 2.59/0.76 distinct_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK1_skl,sK0_skl))|unequally_directed_lines(line_connecting(sK1_skl,sK0_skl),line_connecting(sK0_skl,sK1_skl))),
% 2.59/0.76 inference(cnf_transformation,[status(thm)],[f131])).
% 2.59/0.76 fof(f139,definition,(
% 2.59/0.76 sQ0_spl <=> (distinct_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK1_skl,sK0_skl)))),
% 2.59/0.76 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 2.59/0.76 fof(f140,plain,(
% 2.59/0.76 distinct_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK1_skl,sK0_skl))|~sQ0_spl),
% 2.59/0.76 inference(component_clause,[status(thm)],[f139])).
% 2.59/0.76 fof(f142,definition,(
% 2.59/0.76 sQ1_spl <=> (unequally_directed_lines(line_connecting(sK1_skl,sK0_skl),line_connecting(sK0_skl,sK1_skl)))),
% 2.59/0.76 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 2.59/0.76 fof(f143,plain,(
% 2.59/0.76 unequally_directed_lines(line_connecting(sK1_skl,sK0_skl),line_connecting(sK0_skl,sK1_skl))|~sQ1_spl),
% 2.59/0.76 inference(component_clause,[status(thm)],[f142])).
% 2.59/0.76 fof(f145,plain,(
% 2.59/0.76 sQ0_spl|sQ1_spl),
% 2.59/0.76 inference(split_clause,[status(thm)],[f133,f139,f142])).
% 2.59/0.76 fof(f340,plain,(
% 2.59/0.76 ![X0,X1,X2]: (before_on_line(X0,X1,X2)|~distinct_points(X1,X2)|left_apart_point(X1,reverse_line(X0))|left_apart_point(X2,X0)|left_apart_point(X2,reverse_line(X0))|unequally_directed_lines(X0,line_connecting(X1,X2)))),
% 2.59/0.76 inference(forward_subsumption_resolution,[status(thm)],[f61,f94])).
% 2.59/0.76 fof(f351,plain,(
% 2.59/0.76 ![X0]: (before_on_line(X0,sK0_skl,sK1_skl)|left_apart_point(sK0_skl,reverse_line(X0))|left_apart_point(sK1_skl,X0)|left_apart_point(sK1_skl,reverse_line(X0))|unequally_directed_lines(X0,line_connecting(sK0_skl,sK1_skl)))),
% 2.59/0.76 inference(resolution,[status(thm)],[f340,f132])).
% 2.59/0.76 fof(f402,plain,(
% 2.59/0.76 ![X0]: (before_on_line(X0,sK0_skl,sK1_skl)|left_apart_point(sK1_skl,X0)|left_apart_point(sK1_skl,reverse_line(X0))|unequally_directed_lines(X0,line_connecting(sK0_skl,sK1_skl)))),
% 2.59/0.76 inference(forward_subsumption_resolution,[status(thm)],[f351,f94])).
% 2.59/0.76 fof(f446,plain,(
% 2.59/0.76 ![X0,X1,X2,X3]: (~distinct_points(X0,X1)|~distinct_lines(X2,X3)|left_apart_point(X1,X2)|left_apart_point(X0,X3)|left_apart_point(X1,X3)|left_apart_point(X0,reverse_line(X2))|left_apart_point(X1,reverse_line(X2))|left_apart_point(X0,reverse_line(X3))|left_apart_point(X1,reverse_line(X3)))),
% 2.59/0.76 inference(forward_subsumption_resolution,[status(thm)],[f119,f94])).
% 2.59/0.76 fof(f457,plain,(
% 2.59/0.76 ![X0,X1]: (~distinct_lines(X0,X1)|left_apart_point(sK1_skl,X0)|left_apart_point(sK0_skl,X1)|left_apart_point(sK1_skl,X1)|left_apart_point(sK0_skl,reverse_line(X0))|left_apart_point(sK1_skl,reverse_line(X0))|left_apart_point(sK0_skl,reverse_line(X1))|left_apart_point(sK1_skl,reverse_line(X1)))),
% 2.59/0.76 inference(resolution,[status(thm)],[f446,f132])).
% 2.59/0.76 fof(f508,plain,(
% 2.59/0.76 ![X0,X1]: (~distinct_lines(X0,X1)|left_apart_point(sK0_skl,X1)|left_apart_point(sK1_skl,X1)|left_apart_point(sK0_skl,reverse_line(X0))|left_apart_point(sK1_skl,reverse_line(X0))|left_apart_point(sK0_skl,reverse_line(X1))|left_apart_point(sK1_skl,reverse_line(X1)))),
% 2.59/0.76 inference(forward_subsumption_resolution,[status(thm)],[f457,f94])).
% 2.59/0.76 fof(f555,plain,(
% 2.59/0.76 ![X0]: (before_on_line(X0,sK0_skl,sK1_skl)|left_apart_point(sK1_skl,reverse_line(X0))|unequally_directed_lines(X0,line_connecting(sK0_skl,sK1_skl)))),
% 2.59/0.76 inference(forward_subsumption_resolution,[status(thm)],[f402,f94])).
% 2.59/0.76 fof(f558,plain,(
% 2.59/0.76 ![X0,X1]: (before_on_line(X0,sK0_skl,sK1_skl)|left_apart_point(sK1_skl,reverse_line(X0))|unequally_directed_lines(X0,X1)|unequally_directed_lines(line_connecting(sK0_skl,sK1_skl),X1))),
% 2.59/0.76 inference(resolution,[status(thm)],[f555,f81])).
% 2.59/0.76 fof(f561,plain,(
% 2.59/0.76 ![X0,X1]: (before_on_line(X0,sK0_skl,sK1_skl)|unequally_directed_lines(X0,X1)|unequally_directed_lines(line_connecting(sK0_skl,sK1_skl),X1))),
% 2.59/0.76 inference(forward_subsumption_resolution,[status(thm)],[f558,f94])).
% 2.59/0.76 fof(f565,definition,(
% 2.59/0.76 sQ21_spl <=> (left_apart_point(sK1_skl,reverse_line(line_connecting(sK0_skl,sK1_skl))))),
% 2.59/0.76 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 2.59/0.76 fof(f566,plain,(
% 2.59/0.76 left_apart_point(sK1_skl,reverse_line(line_connecting(sK0_skl,sK1_skl)))|~sQ21_spl),
% 2.59/0.76 inference(component_clause,[status(thm)],[f565])).
% 2.59/0.76 fof(f569,plain,(
% 2.59/0.76 ![X0,X1]: (~distinct_lines(X0,X1)|left_apart_point(sK1_skl,X1)|left_apart_point(sK0_skl,reverse_line(X0))|left_apart_point(sK1_skl,reverse_line(X0))|left_apart_point(sK0_skl,reverse_line(X1))|left_apart_point(sK1_skl,reverse_line(X1)))),
% 2.59/0.76 inference(forward_subsumption_resolution,[status(thm)],[f508,f94])).
% 2.59/0.76 fof(f571,plain,(
% 2.59/0.76 left_apart_point(sK1_skl,line_connecting(sK1_skl,sK0_skl))|left_apart_point(sK0_skl,reverse_line(line_connecting(sK0_skl,sK1_skl)))|left_apart_point(sK1_skl,reverse_line(line_connecting(sK0_skl,sK1_skl)))|left_apart_point(sK0_skl,reverse_line(line_connecting(sK1_skl,sK0_skl)))|left_apart_point(sK1_skl,reverse_line(line_connecting(sK1_skl,sK0_skl)))|~sQ0_spl),
% 2.59/0.76 inference(resolution,[status(thm)],[f569,f140])).
% 2.59/0.76 fof(f575,definition,(
% 2.59/0.76 sQ23_spl <=> (left_apart_point(sK0_skl,reverse_line(line_connecting(sK1_skl,sK0_skl))))),
% 2.59/0.76 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 2.59/0.76 fof(f576,plain,(
% 2.59/0.76 left_apart_point(sK0_skl,reverse_line(line_connecting(sK1_skl,sK0_skl)))|~sQ23_spl),
% 2.59/0.76 inference(component_clause,[status(thm)],[f575])).
% 2.59/0.76 fof(f578,definition,(
% 2.59/0.76 sQ24_spl <=> (left_apart_point(sK1_skl,reverse_line(line_connecting(sK1_skl,sK0_skl))))),
% 2.59/0.76 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 2.59/0.76 fof(f579,plain,(
% 2.59/0.76 left_apart_point(sK1_skl,reverse_line(line_connecting(sK1_skl,sK0_skl)))|~sQ24_spl),
% 2.59/0.76 inference(component_clause,[status(thm)],[f578])).
% 2.59/0.76 fof(f582,definition,(
% 2.59/0.76 sQ25_spl <=> (left_apart_point(sK1_skl,line_connecting(sK1_skl,sK0_skl)))),
% 2.59/0.76 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 2.59/0.76 fof(f583,plain,(
% 2.59/0.76 left_apart_point(sK1_skl,line_connecting(sK1_skl,sK0_skl))|~sQ25_spl),
% 2.59/0.76 inference(component_clause,[status(thm)],[f582])).
% 2.59/0.76 fof(f585,definition,(
% 2.59/0.76 sQ26_spl <=> (left_apart_point(sK0_skl,reverse_line(line_connecting(sK0_skl,sK1_skl))))),
% 2.59/0.76 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 2.59/0.76 fof(f586,plain,(
% 2.59/0.76 left_apart_point(sK0_skl,reverse_line(line_connecting(sK0_skl,sK1_skl)))|~sQ26_spl),
% 2.59/0.76 inference(component_clause,[status(thm)],[f585])).
% 2.59/0.76 fof(f588,plain,(
% 2.59/0.76 sQ25_spl|sQ26_spl|sQ21_spl|sQ23_spl|sQ24_spl|~sQ0_spl),
% 2.59/0.76 inference(split_clause,[status(thm)],[f571,f582,f585,f565,f575,f578,f139])).
% 2.59/0.76 fof(f589,plain,(
% 2.59/0.76 $false|~sQ21_spl),
% 2.59/0.76 inference(forward_subsumption_resolution,[status(thm)],[f566,f94])).
% 2.59/0.76 fof(f590,plain,(
% 2.59/0.76 ~sQ21_spl),
% 2.59/0.76 inference(contradiction_clause,[status(thm)],[f589])).
% 2.59/0.76 fof(f591,plain,(
% 2.59/0.76 $false|~sQ24_spl),
% 2.59/0.76 inference(forward_subsumption_resolution,[status(thm)],[f579,f94])).
% 2.59/0.76 fof(f592,plain,(
% 2.59/0.76 ~sQ24_spl),
% 2.59/0.76 inference(contradiction_clause,[status(thm)],[f591])).
% 2.59/0.76 fof(f593,plain,(
% 2.59/0.76 $false|~sQ23_spl),
% 2.59/0.76 inference(forward_subsumption_resolution,[status(thm)],[f576,f94])).
% 2.59/0.76 fof(f594,plain,(
% 2.59/0.76 ~sQ23_spl),
% 2.59/0.76 inference(contradiction_clause,[status(thm)],[f593])).
% 2.59/0.76 fof(f596,plain,(
% 2.59/0.76 $false|~sQ25_spl),
% 2.59/0.76 inference(forward_subsumption_resolution,[status(thm)],[f583,f94])).
% 2.59/0.76 fof(f597,plain,(
% 2.59/0.76 ~sQ25_spl),
% 2.59/0.76 inference(contradiction_clause,[status(thm)],[f596])).
% 2.59/0.76 fof(f598,plain,(
% 2.59/0.76 $false|~sQ26_spl),
% 2.59/0.76 inference(forward_subsumption_resolution,[status(thm)],[f586,f94])).
% 2.59/0.76 fof(f599,plain,(
% 2.59/0.76 ~sQ26_spl),
% 2.59/0.76 inference(contradiction_clause,[status(thm)],[f598])).
% 2.59/0.76 fof(f1001,plain,(
% 2.59/0.76 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1))|left_convergent_lines(X0,reverse_line(X1)))),
% 2.59/0.76 inference(forward_subsumption_resolution,[status(thm)],[f91,f98])).
% 2.59/0.76 fof(f1017,plain,(
% 2.59/0.76 ![X0]: (before_on_line(X0,sK0_skl,sK1_skl)|unequally_directed_lines(line_connecting(sK0_skl,sK1_skl),X0))),
% 2.59/0.76 inference(resolution,[status(thm)],[f561,f78])).
% 2.59/0.76 fof(f1019,plain,(
% 2.59/0.76 ![X0,X1]: (before_on_line(X0,sK0_skl,sK1_skl)|unequally_directed_lines(X0,reverse_line(X1))|~unequally_directed_lines(line_connecting(sK0_skl,sK1_skl),X1)|left_convergent_lines(line_connecting(sK0_skl,sK1_skl),reverse_line(X1)))),
% 2.59/0.76 inference(resolution,[status(thm)],[f561,f1001])).
% 2.59/0.76 fof(f1023,plain,(
% 2.59/0.76 ![X0,X1,X2]: (before_on_line(X0,sK0_skl,sK1_skl)|unequally_directed_lines(X0,X1)|unequally_directed_lines(line_connecting(sK0_skl,sK1_skl),X2)|unequally_directed_lines(X1,X2))),
% 2.59/0.76 inference(resolution,[status(thm)],[f561,f81])).
% 2.59/0.77 fof(f1047,plain,(
% 2.59/0.77 ![X0,X1]: (before_on_line(X0,sK0_skl,sK1_skl)|unequally_directed_lines(X0,reverse_line(X1))|~unequally_directed_lines(line_connecting(sK0_skl,sK1_skl),X1))),
% 2.59/0.77 inference(forward_subsumption_resolution,[status(thm)],[f1019,f98])).
% 2.59/0.77 fof(f1131,plain,(
% 2.59/0.77 ~before_on_line(line_connecting(sK1_skl,sK0_skl),sK0_skl,sK1_skl)|~sQ1_spl),
% 2.59/0.77 inference(resolution,[status(thm)],[f143,f60])).
% 2.59/0.77 fof(f2239,plain,(
% 2.59/0.77 ![X0,X1]: (before_on_line(X0,sK0_skl,sK1_skl)|unequally_directed_lines(X0,reverse_line(X1))|before_on_line(X1,sK0_skl,sK1_skl))),
% 2.59/0.77 inference(resolution,[status(thm)],[f1047,f1017])).
% 2.59/0.77 fof(f2394,plain,(
% 2.59/0.77 ![X0,X1]: (before_on_line(X0,sK0_skl,sK1_skl)|unequally_directed_lines(X0,X1)|unequally_directed_lines(X1,line_connecting(sK0_skl,sK1_skl)))),
% 2.59/0.77 inference(resolution,[status(thm)],[f1023,f78])).
% 2.59/0.77 fof(f2949,plain,(
% 2.59/0.77 ![X0,X1]: (before_on_line(line_connecting(X0,X1),sK0_skl,sK1_skl)|before_on_line(line_connecting(X1,X0),sK0_skl,sK1_skl))),
% 2.59/0.77 inference(resolution,[status(thm)],[f2239,f116])).
% 2.59/0.77 fof(f3181,plain,(
% 2.59/0.77 ![X0,X1]: (before_on_line(X0,sK0_skl,sK1_skl)|unequally_directed_lines(X0,X1)|~before_on_line(X1,sK0_skl,sK1_skl))),
% 2.59/0.77 inference(resolution,[status(thm)],[f2394,f60])).
% 2.59/0.77 fof(f4032,plain,(
% 2.59/0.77 ![X0,X1]: (before_on_line(X0,sK0_skl,sK1_skl)|unequally_directed_lines(X0,line_connecting(X1,X1)))),
% 2.59/0.77 inference(resolution,[status(thm)],[f2949,f3181])).
% 2.59/0.77 fof(f4068,plain,(
% 2.59/0.77 ![X0,X1,X2]: (before_on_line(X0,sK0_skl,sK1_skl)|unequally_directed_lines(X0,X1)|unequally_directed_lines(line_connecting(X2,X2),X1))),
% 2.59/0.77 inference(resolution,[status(thm)],[f4032,f81])).
% 2.59/0.77 fof(f4126,plain,(
% 2.59/0.77 ![X0,X1]: (before_on_line(X0,sK0_skl,sK1_skl)|unequally_directed_lines(X0,reverse_line(line_connecting(X1,X1))))),
% 2.59/0.77 inference(resolution,[status(thm)],[f4068,f116])).
% 2.59/0.77 fof(f4236,plain,(
% 2.59/0.77 ![X0,X1]: (before_on_line(X0,sK0_skl,sK1_skl)|~unequally_directed_lines(X0,line_connecting(X1,X1))|left_convergent_lines(X0,reverse_line(line_connecting(X1,X1))))),
% 2.59/0.77 inference(resolution,[status(thm)],[f4126,f1001])).
% 2.59/0.77 fof(f4264,plain,(
% 2.59/0.77 ![X0,X1]: (before_on_line(X0,sK0_skl,sK1_skl)|left_convergent_lines(X0,reverse_line(line_connecting(X1,X1))))),
% 2.59/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4236,f4032])).
% 2.59/0.77 fof(f4277,plain,(
% 2.59/0.77 $false|~sQ1_spl),
% 2.59/0.77 inference(backward_subsumption_resolution,[status(thm)],[f1131,f4278])).
% 2.59/0.77 fof(f4278,plain,(
% 2.59/0.77 ![X0]: (before_on_line(X0,sK0_skl,sK1_skl))),
% 2.59/0.77 inference(forward_subsumption_resolution,[status(thm)],[f4264,f98])).
% 2.59/0.77 fof(f4280,plain,(
% 2.59/0.77 ~sQ1_spl),
% 2.59/0.77 inference(contradiction_clause,[status(thm)],[f4277])).
% 2.59/0.77 fof(f4281,plain,(
% 2.59/0.77 $false),
% 2.59/0.77 inference(sat_refutation,[status(thm)],[f145,f588,f590,f592,f594,f597,f599,f4280])).
% 2.59/0.77 % SZS output end CNFRefutation for theBenchmark.p
% 2.59/0.79 % Elapsed time: 0.426162 seconds
% 2.59/0.79 % CPU time: 2.977675 seconds
% 2.59/0.79 % Total memory used: 42.333 MB
% 2.59/0.79 % Net memory used: 38.331 MB
%------------------------------------------------------------------------------