%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO254+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 : n019.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 12:26:16 PM UTC 2026
% Result : Theorem 12.66s 7.08s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO254+1 : TPTP v9.3.1. Bugfixed v6.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n019.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sun Sep 20 14:48:43 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.39 % Drodi V4.1.1
% 12.66/7.08 % Refutation found
% 12.66/7.08 % SZS status Theorem for theBenchmark: Theorem is valid
% 12.66/7.08 % SZS output start CNFRefutation for theBenchmark
% 12.66/7.08 fof(f4,axiom,(
% 12.66/7.08 (! [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)) ) ) )),
% 12.66/7.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.66/7.08 fof(f6,axiom,(
% 12.66/7.08 (! [A] : ~ distinct_points(A,A) )),
% 12.66/7.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.66/7.08 fof(f7,axiom,(
% 12.66/7.08 (! [A,B,C] :( distinct_points(A,B)=> ( distinct_points(A,C)| distinct_points(B,C) ) ) )),
% 12.66/7.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.66/7.08 fof(f10,axiom,(
% 12.66/7.08 (! [L] : ~ unequally_directed_lines(L,L) )),
% 12.66/7.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.66/7.08 fof(f11,axiom,(
% 12.66/7.08 (! [L,M,N] :( unequally_directed_lines(L,M)=> ( unequally_directed_lines(L,N)| unequally_directed_lines(M,N) ) ) )),
% 12.66/7.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.66/7.08 fof(f14,axiom,(
% 12.66/7.08 (! [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)) ) ) )),
% 12.66/7.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.66/7.08 fof(f15,axiom,(
% 12.66/7.08 (! [A,L] :~ ( left_apart_point(A,L)| left_apart_point(A,reverse_line(L)) ) )),
% 12.66/7.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.66/7.08 fof(f16,axiom,(
% 12.66/7.08 (! [L,M] :~ ( left_convergent_lines(L,M)| left_convergent_lines(L,reverse_line(M)) ) )),
% 12.66/7.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.66/7.08 fof(f25,axiom,(
% 12.66/7.08 (! [A,B] : ~ unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))) )),
% 12.66/7.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.66/7.08 fof(f32,conjecture,(
% 12.66/7.08 (! [A,B,L] :( ( distinct_points(A,B)& ~ apart_point_and_line(A,L)& ~ apart_point_and_line(B,L) )=> ( before_on_line(L,A,B)& before_on_line(L,B,A) ) ) )),
% 12.66/7.08 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.66/7.08 fof(f33,negated_conjecture,(
% 12.66/7.08 ~((! [A,B,L] :( ( distinct_points(A,B)& ~ apart_point_and_line(A,L)& ~ apart_point_and_line(B,L) )=> ( before_on_line(L,A,B)& before_on_line(L,B,A) ) ) ))),
% 12.66/7.08 inference(negated_conjecture,[status(cth)],[f32])).
% 12.66/7.08 fof(f52,plain,(
% 12.66/7.08 ![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))))),
% 12.66/7.08 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 12.66/7.08 fof(f53,plain,(
% 12.66/7.08 ![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)))))),
% 12.66/7.08 inference(NNF_transformation,[status(thm)],[f52])).
% 12.66/7.08 fof(f54,plain,(
% 12.66/7.08 (![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)))))),
% 12.66/7.08 inference(miniscoping,[status(thm)],[f53])).
% 12.66/7.08 fof(f60,plain,(
% 12.66/7.08 ![X0,X1,X2]: (~before_on_line(X0,X1,X2)|~unequally_directed_lines(X0,line_connecting(X1,X2)))),
% 12.66/7.08 inference(cnf_transformation,[status(thm)],[f54])).
% 12.66/7.08 fof(f61,plain,(
% 12.66/7.08 ![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)))),
% 12.66/7.08 inference(cnf_transformation,[status(thm)],[f54])).
% 12.66/7.08 fof(f70,plain,(
% 12.66/7.08 ![X0]: (~distinct_points(X0,X0))),
% 12.66/7.08 inference(cnf_transformation,[status(thm)],[f6])).
% 12.66/7.08 fof(f71,plain,(
% 12.66/7.08 ![A,B,C]: (~distinct_points(A,B)|(distinct_points(A,C)|distinct_points(B,C)))),
% 12.66/7.08 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 12.66/7.08 fof(f72,plain,(
% 12.66/7.08 ![A,B]: (~distinct_points(A,B)|(![C]: (distinct_points(A,C)|distinct_points(B,C))))),
% 12.66/7.08 inference(miniscoping,[status(thm)],[f71])).
% 12.66/7.08 fof(f73,plain,(
% 12.66/7.08 ![X0,X1,X2]: (~distinct_points(X0,X1)|distinct_points(X0,X2)|distinct_points(X1,X2))),
% 12.66/7.08 inference(cnf_transformation,[status(thm)],[f72])).
% 12.66/7.08 fof(f78,plain,(
% 12.66/7.08 ![X0]: (~unequally_directed_lines(X0,X0))),
% 12.66/7.08 inference(cnf_transformation,[status(thm)],[f10])).
% 12.66/7.08 fof(f79,plain,(
% 12.66/7.08 ![L,M,N]: (~unequally_directed_lines(L,M)|(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))),
% 12.66/7.08 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 12.66/7.08 fof(f80,plain,(
% 12.66/7.08 ![L,M]: (~unequally_directed_lines(L,M)|(![N]: (unequally_directed_lines(L,N)|unequally_directed_lines(M,N))))),
% 12.66/7.08 inference(miniscoping,[status(thm)],[f79])).
% 12.66/7.08 fof(f81,plain,(
% 12.66/7.08 ![X0,X1,X2]: (~unequally_directed_lines(X0,X1)|unequally_directed_lines(X0,X2)|unequally_directed_lines(X1,X2))),
% 12.66/7.08 inference(cnf_transformation,[status(thm)],[f80])).
% 12.66/7.08 fof(f90,plain,(
% 12.66/7.08 ![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))))),
% 12.66/7.08 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 12.66/7.08 fof(f91,plain,(
% 12.66/7.08 ![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)))),
% 12.66/7.08 inference(cnf_transformation,[status(thm)],[f90])).
% 12.66/7.08 fof(f92,plain,(
% 12.66/7.08 ![A,L]: (~left_apart_point(A,L)&~left_apart_point(A,reverse_line(L)))),
% 12.66/7.08 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 12.66/7.08 fof(f93,plain,(
% 12.66/7.08 (![A,L]: ~left_apart_point(A,L))&(![A,L]: ~left_apart_point(A,reverse_line(L)))),
% 12.66/7.08 inference(miniscoping,[status(thm)],[f92])).
% 12.66/7.08 fof(f94,plain,(
% 12.66/7.08 ![X0,X1]: (~left_apart_point(X0,X1))),
% 12.66/7.08 inference(cnf_transformation,[status(thm)],[f93])).
% 12.66/7.08 fof(f96,plain,(
% 12.66/7.08 ![L,M]: (~left_convergent_lines(L,M)&~left_convergent_lines(L,reverse_line(M)))),
% 12.66/7.08 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 12.66/7.08 fof(f97,plain,(
% 12.66/7.08 (![L,M]: ~left_convergent_lines(L,M))&(![L,M]: ~left_convergent_lines(L,reverse_line(M)))),
% 12.66/7.08 inference(miniscoping,[status(thm)],[f96])).
% 12.66/7.08 fof(f98,plain,(
% 12.66/7.08 ![X0,X1]: (~left_convergent_lines(X0,X1))),
% 12.66/7.08 inference(cnf_transformation,[status(thm)],[f97])).
% 12.66/7.08 fof(f116,plain,(
% 12.66/7.08 ![X0,X1]: (~unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))))),
% 12.66/7.08 inference(cnf_transformation,[status(thm)],[f25])).
% 12.66/7.08 fof(f130,plain,(
% 12.66/7.08 (?[A,B,L]: (((distinct_points(A,B)&~apart_point_and_line(A,L))&~apart_point_and_line(B,L))&(~before_on_line(L,A,B)|~before_on_line(L,B,A))))),
% 12.66/7.08 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 12.66/7.08 fof(f131,plain,(
% 12.66/7.08 (((distinct_points(sK0_skl,sK1_skl)&~apart_point_and_line(sK0_skl,sK2_skl))&~apart_point_and_line(sK1_skl,sK2_skl))&(~before_on_line(sK2_skl,sK0_skl,sK1_skl)|~before_on_line(sK2_skl,sK1_skl,sK0_skl)))),
% 12.66/7.08 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(A,sK0_skl),skolemize(B,sK1_skl),skolemize(L,sK2_skl)],[f130])).
% 12.66/7.08 fof(f132,plain,(
% 12.66/7.08 distinct_points(sK0_skl,sK1_skl)),
% 12.66/7.08 inference(cnf_transformation,[status(thm)],[f131])).
% 12.66/7.08 fof(f135,plain,(
% 12.66/7.08 ~before_on_line(sK2_skl,sK0_skl,sK1_skl)|~before_on_line(sK2_skl,sK1_skl,sK0_skl)),
% 12.66/7.08 inference(cnf_transformation,[status(thm)],[f131])).
% 12.66/7.08 fof(f143,plain,(
% 12.66/7.08 ![X0]: (distinct_points(sK0_skl,X0)|distinct_points(sK1_skl,X0))),
% 12.66/7.08 inference(resolution,[status(thm)],[f73,f132])).
% 12.66/7.08 fof(f148,plain,(
% 12.66/7.08 ![X0,X1]: (distinct_points(sK0_skl,X0)|distinct_points(sK1_skl,X1)|distinct_points(X0,X1))),
% 12.66/7.08 inference(resolution,[status(thm)],[f143,f73])).
% 12.66/7.08 fof(f152,plain,(
% 12.66/7.08 distinct_points(sK1_skl,sK0_skl)),
% 12.66/7.08 inference(resolution,[status(thm)],[f148,f70])).
% 12.66/7.08 fof(f434,plain,(
% 12.66/7.08 ![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)))),
% 12.66/7.08 inference(forward_subsumption_resolution,[status(thm)],[f61,f94])).
% 12.66/7.08 fof(f437,plain,(
% 12.66/7.08 ![X0,X1,X2,X3]: (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,X3)|unequally_directed_lines(line_connecting(X1,X2),X3))),
% 12.66/7.08 inference(resolution,[status(thm)],[f434,f81])).
% 12.66/7.08 fof(f440,plain,(
% 12.66/7.08 ![X0,X1,X2,X3]: (before_on_line(X0,X1,X2)|~distinct_points(X1,X2)|left_apart_point(X2,X0)|left_apart_point(X2,reverse_line(X0))|unequally_directed_lines(X0,X3)|unequally_directed_lines(line_connecting(X1,X2),X3))),
% 12.66/7.08 inference(forward_subsumption_resolution,[status(thm)],[f437,f94])).
% 12.66/7.08 fof(f442,plain,(
% 12.66/7.08 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1))|left_convergent_lines(X0,reverse_line(X1)))),
% 12.66/7.08 inference(forward_subsumption_resolution,[status(thm)],[f91,f98])).
% 12.66/7.08 fof(f979,plain,(
% 12.66/7.08 ![X0,X1,X2,X3]: (before_on_line(X0,X1,X2)|~distinct_points(X1,X2)|left_apart_point(X2,reverse_line(X0))|unequally_directed_lines(X0,X3)|unequally_directed_lines(line_connecting(X1,X2),X3))),
% 12.66/7.08 inference(forward_subsumption_resolution,[status(thm)],[f440,f94])).
% 12.66/7.08 fof(f980,plain,(
% 12.66/7.08 ![X0,X1]: (before_on_line(X0,sK1_skl,sK0_skl)|left_apart_point(sK0_skl,reverse_line(X0))|unequally_directed_lines(X0,X1)|unequally_directed_lines(line_connecting(sK1_skl,sK0_skl),X1))),
% 12.66/7.08 inference(resolution,[status(thm)],[f979,f152])).
% 12.66/7.08 fof(f1036,plain,(
% 12.66/7.08 ![X0,X1,X2]: (before_on_line(X0,sK1_skl,X1)|left_apart_point(X1,reverse_line(X0))|unequally_directed_lines(X0,X2)|unequally_directed_lines(line_connecting(sK1_skl,X1),X2)|distinct_points(sK0_skl,X1))),
% 12.66/7.08 inference(resolution,[status(thm)],[f979,f143])).
% 12.66/7.08 fof(f1037,plain,(
% 12.66/7.08 ![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))),
% 12.66/7.08 inference(resolution,[status(thm)],[f979,f132])).
% 12.66/7.08 fof(f1370,plain,(
% 12.66/7.08 ![X0,X1]: (before_on_line(X0,sK1_skl,sK0_skl)|unequally_directed_lines(X0,X1)|unequally_directed_lines(line_connecting(sK1_skl,sK0_skl),X1))),
% 12.66/7.08 inference(forward_subsumption_resolution,[status(thm)],[f980,f94])).
% 12.66/7.08 fof(f1408,plain,(
% 12.66/7.08 ![X0,X1,X2]: (before_on_line(X0,sK1_skl,X1)|unequally_directed_lines(X0,X2)|unequally_directed_lines(line_connecting(sK1_skl,X1),X2)|distinct_points(sK0_skl,X1))),
% 12.66/7.08 inference(forward_subsumption_resolution,[status(thm)],[f1036,f94])).
% 12.66/7.08 fof(f1409,plain,(
% 12.66/7.08 ![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))),
% 12.66/7.08 inference(forward_subsumption_resolution,[status(thm)],[f1037,f94])).
% 12.66/7.08 fof(f1658,plain,(
% 12.66/7.08 ![X0]: (before_on_line(X0,sK1_skl,sK0_skl)|unequally_directed_lines(line_connecting(sK1_skl,sK0_skl),X0))),
% 12.66/7.08 inference(resolution,[status(thm)],[f1370,f78])).
% 12.66/7.08 fof(f1659,plain,(
% 12.66/7.08 ![X0]: (before_on_line(X0,sK1_skl,sK0_skl)|unequally_directed_lines(X0,reverse_line(line_connecting(sK0_skl,sK1_skl))))),
% 12.66/7.08 inference(resolution,[status(thm)],[f1370,f116])).
% 12.66/7.08 fof(f1677,plain,(
% 12.66/7.08 ![X0,X1]: (before_on_line(line_connecting(X0,X1),sK1_skl,sK0_skl)|~before_on_line(line_connecting(sK1_skl,sK0_skl),X0,X1))),
% 12.66/7.08 inference(resolution,[status(thm)],[f1658,f60])).
% 12.66/7.08 fof(f1715,plain,(
% 12.66/7.08 ![X0,X1,X2]: (before_on_line(X0,sK1_skl,X1)|unequally_directed_lines(X0,reverse_line(X2))|distinct_points(sK0_skl,X1)|~unequally_directed_lines(line_connecting(sK1_skl,X1),X2)|left_convergent_lines(line_connecting(sK1_skl,X1),reverse_line(X2)))),
% 12.66/7.08 inference(resolution,[status(thm)],[f1408,f442])).
% 12.66/7.08 fof(f1726,plain,(
% 12.66/7.08 ![X0,X1,X2]: (before_on_line(X0,sK1_skl,X1)|unequally_directed_lines(X0,reverse_line(X2))|distinct_points(sK0_skl,X1)|~unequally_directed_lines(line_connecting(sK1_skl,X1),X2))),
% 12.66/7.08 inference(forward_subsumption_resolution,[status(thm)],[f1715,f98])).
% 12.66/7.08 fof(f1743,plain,(
% 12.66/7.08 ![X0]: (before_on_line(X0,sK1_skl,sK0_skl)|~unequally_directed_lines(X0,line_connecting(sK0_skl,sK1_skl))|left_convergent_lines(X0,reverse_line(line_connecting(sK0_skl,sK1_skl))))),
% 12.66/7.08 inference(resolution,[status(thm)],[f1659,f442])).
% 12.66/7.08 fof(f1750,plain,(
% 12.66/7.08 ![X0]: (before_on_line(X0,sK1_skl,sK0_skl)|~unequally_directed_lines(X0,line_connecting(sK0_skl,sK1_skl)))),
% 12.66/7.08 inference(forward_subsumption_resolution,[status(thm)],[f1743,f98])).
% 12.66/7.08 fof(f1760,plain,(
% 12.66/7.08 ![X0]: (before_on_line(X0,sK1_skl,sK0_skl)|before_on_line(X0,sK1_skl,sK0_skl)|unequally_directed_lines(line_connecting(sK1_skl,sK0_skl),line_connecting(sK0_skl,sK1_skl)))),
% 12.66/7.08 inference(resolution,[status(thm)],[f1750,f1370])).
% 12.66/7.08 fof(f1764,plain,(
% 12.66/7.08 ![X0]: (before_on_line(X0,sK1_skl,sK0_skl)|unequally_directed_lines(line_connecting(sK1_skl,sK0_skl),line_connecting(sK0_skl,sK1_skl)))),
% 12.66/7.08 inference(duplicate_literals_removal,[status(thm)],[f1760])).
% 12.66/7.08 fof(f1793,plain,(
% 12.66/7.08 ![X0]: (before_on_line(X0,sK0_skl,sK1_skl)|unequally_directed_lines(line_connecting(sK0_skl,sK1_skl),X0))),
% 12.66/7.08 inference(resolution,[status(thm)],[f1409,f78])).
% 12.66/7.08 fof(f1794,plain,(
% 12.66/7.08 ![X0]: (before_on_line(X0,sK0_skl,sK1_skl)|unequally_directed_lines(X0,reverse_line(line_connecting(sK1_skl,sK0_skl))))),
% 12.66/7.08 inference(resolution,[status(thm)],[f1409,f116])).
% 12.66/7.08 fof(f1873,plain,(
% 12.66/7.08 ![X0,X1]: (before_on_line(line_connecting(X0,X1),sK0_skl,sK1_skl)|~before_on_line(line_connecting(sK0_skl,sK1_skl),X0,X1))),
% 12.66/7.08 inference(resolution,[status(thm)],[f1793,f60])).
% 12.66/7.08 fof(f1900,plain,(
% 12.66/7.08 ![X0]: (before_on_line(X0,sK0_skl,sK1_skl)|~unequally_directed_lines(X0,line_connecting(sK1_skl,sK0_skl))|left_convergent_lines(X0,reverse_line(line_connecting(sK1_skl,sK0_skl))))),
% 12.66/7.08 inference(resolution,[status(thm)],[f1794,f442])).
% 12.66/7.08 fof(f1907,plain,(
% 12.66/7.08 ![X0]: (before_on_line(X0,sK0_skl,sK1_skl)|~unequally_directed_lines(X0,line_connecting(sK1_skl,sK0_skl)))),
% 12.66/7.08 inference(forward_subsumption_resolution,[status(thm)],[f1900,f98])).
% 12.66/7.08 fof(f1923,plain,(
% 12.66/7.08 ![X0]: (before_on_line(X0,sK0_skl,sK1_skl)|before_on_line(X0,sK0_skl,sK1_skl)|unequally_directed_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK1_skl,sK0_skl)))),
% 12.66/7.08 inference(resolution,[status(thm)],[f1907,f1409])).
% 12.66/7.08 fof(f1930,plain,(
% 12.66/7.08 ![X0]: (before_on_line(X0,sK0_skl,sK1_skl)|unequally_directed_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK1_skl,sK0_skl)))),
% 12.66/7.08 inference(duplicate_literals_removal,[status(thm)],[f1923])).
% 12.66/7.08 fof(f2282,plain,(
% 12.66/7.08 ![X0]: (before_on_line(X0,sK1_skl,sK0_skl)|~before_on_line(line_connecting(sK1_skl,sK0_skl),sK0_skl,sK1_skl))),
% 12.66/7.08 inference(resolution,[status(thm)],[f1764,f60])).
% 12.66/7.08 fof(f2284,plain,(
% 12.66/7.08 ![X0]: (before_on_line(X0,sK1_skl,sK0_skl)|~before_on_line(line_connecting(sK0_skl,sK1_skl),sK1_skl,sK0_skl))),
% 12.66/7.08 inference(resolution,[status(thm)],[f2282,f1873])).
% 12.66/7.08 fof(f2290,plain,(
% 12.66/7.08 ~before_on_line(line_connecting(sK0_skl,sK1_skl),sK1_skl,sK0_skl)|~before_on_line(sK2_skl,sK0_skl,sK1_skl)),
% 12.66/7.08 inference(resolution,[status(thm)],[f2284,f135])).
% 12.66/7.08 fof(f2311,plain,(
% 12.66/7.08 unequally_directed_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(sK1_skl,sK0_skl))|~before_on_line(line_connecting(sK0_skl,sK1_skl),sK1_skl,sK0_skl)),
% 12.66/7.08 inference(resolution,[status(thm)],[f1930,f2290])).
% 12.66/7.08 fof(f2321,plain,(
% 12.66/7.08 ~before_on_line(line_connecting(sK0_skl,sK1_skl),sK1_skl,sK0_skl)),
% 12.66/7.08 inference(forward_subsumption_resolution,[status(thm)],[f2311,f60])).
% 12.66/7.08 fof(f2323,plain,(
% 12.66/7.08 ~before_on_line(line_connecting(sK1_skl,sK0_skl),sK0_skl,sK1_skl)),
% 12.66/7.08 inference(resolution,[status(thm)],[f2321,f1677])).
% 12.66/7.08 fof(f2326,plain,(
% 12.66/7.08 ![X0]: (unequally_directed_lines(line_connecting(sK0_skl,sK1_skl),X0)|unequally_directed_lines(line_connecting(sK1_skl,sK0_skl),X0))),
% 12.66/7.08 inference(resolution,[status(thm)],[f2321,f1370])).
% 12.66/7.08 fof(f2386,plain,(
% 12.66/7.08 ![X0]: (unequally_directed_lines(line_connecting(sK0_skl,sK1_skl),reverse_line(X0))|~unequally_directed_lines(line_connecting(sK1_skl,sK0_skl),X0)|left_convergent_lines(line_connecting(sK1_skl,sK0_skl),reverse_line(X0)))),
% 12.66/7.08 inference(resolution,[status(thm)],[f2326,f442])).
% 12.66/7.08 fof(f2393,plain,(
% 12.66/7.08 ![X0]: (unequally_directed_lines(line_connecting(sK0_skl,sK1_skl),reverse_line(X0))|~unequally_directed_lines(line_connecting(sK1_skl,sK0_skl),X0))),
% 12.66/7.08 inference(forward_subsumption_resolution,[status(thm)],[f2386,f98])).
% 12.66/7.08 fof(f2406,plain,(
% 12.66/7.08 ![X0]: (~unequally_directed_lines(line_connecting(sK1_skl,sK0_skl),X0)|~unequally_directed_lines(line_connecting(sK0_skl,sK1_skl),X0)|left_convergent_lines(line_connecting(sK0_skl,sK1_skl),reverse_line(X0)))),
% 12.66/7.08 inference(resolution,[status(thm)],[f2393,f442])).
% 12.66/7.08 fof(f2412,plain,(
% 12.66/7.08 ![X0]: (~unequally_directed_lines(line_connecting(sK1_skl,sK0_skl),X0)|~unequally_directed_lines(line_connecting(sK0_skl,sK1_skl),X0))),
% 12.66/7.08 inference(forward_subsumption_resolution,[status(thm)],[f2406,f98])).
% 12.66/7.08 fof(f2418,plain,(
% 12.66/7.08 ![X0,X1]: (~unequally_directed_lines(line_connecting(sK1_skl,sK0_skl),X0)|before_on_line(X1,sK0_skl,sK1_skl)|unequally_directed_lines(X1,X0))),
% 12.66/7.08 inference(resolution,[status(thm)],[f2412,f1409])).
% 12.66/7.08 fof(f2603,plain,(
% 12.66/7.08 ![X0,X1]: (before_on_line(X0,sK0_skl,sK1_skl)|unequally_directed_lines(X0,X1)|before_on_line(X1,sK1_skl,sK0_skl))),
% 12.66/7.08 inference(resolution,[status(thm)],[f2418,f1658])).
% 12.66/7.08 fof(f2655,plain,(
% 12.66/7.08 ![X0,X1]: (before_on_line(X0,sK0_skl,sK1_skl)|before_on_line(reverse_line(X1),sK1_skl,sK0_skl)|~unequally_directed_lines(X0,X1)|left_convergent_lines(X0,reverse_line(X1)))),
% 12.66/7.08 inference(resolution,[status(thm)],[f2603,f442])).
% 12.66/7.08 fof(f2672,plain,(
% 12.66/7.08 ![X0,X1]: (before_on_line(X0,sK0_skl,sK1_skl)|before_on_line(reverse_line(X1),sK1_skl,sK0_skl)|~unequally_directed_lines(X0,X1))),
% 12.66/7.08 inference(forward_subsumption_resolution,[status(thm)],[f2655,f98])).
% 12.66/7.08 fof(f2768,plain,(
% 12.66/7.08 ![X0,X1]: (before_on_line(line_connecting(sK1_skl,sK0_skl),sK0_skl,sK1_skl)|before_on_line(reverse_line(X0),sK1_skl,sK0_skl)|before_on_line(X1,sK1_skl,sK0_skl)|unequally_directed_lines(X1,X0))),
% 12.66/7.08 inference(resolution,[status(thm)],[f2672,f1370])).
% 12.66/7.08 fof(f2801,plain,(
% 12.66/7.08 ![X0,X1]: (before_on_line(reverse_line(X0),sK1_skl,sK0_skl)|before_on_line(X1,sK1_skl,sK0_skl)|unequally_directed_lines(X1,X0))),
% 12.66/7.08 inference(forward_subsumption_resolution,[status(thm)],[f2768,f2323])).
% 12.66/7.08 fof(f3030,plain,(
% 12.66/7.08 ![X0]: (before_on_line(reverse_line(X0),sK1_skl,sK0_skl)|unequally_directed_lines(reverse_line(X0),X0))),
% 12.66/7.08 inference(factoring,[status(thm)],[f2801])).
% 12.66/7.08 fof(f3053,plain,(
% 12.66/7.08 ![X0,X1]: (before_on_line(reverse_line(X0),sK1_skl,sK0_skl)|unequally_directed_lines(reverse_line(X0),X1)|unequally_directed_lines(X0,X1))),
% 12.66/7.08 inference(resolution,[status(thm)],[f3030,f81])).
% 12.66/7.08 fof(f3087,plain,(
% 12.66/7.08 ![X0]: (before_on_line(reverse_line(X0),sK1_skl,sK0_skl)|unequally_directed_lines(X0,reverse_line(X0)))),
% 12.66/7.08 inference(resolution,[status(thm)],[f3053,f78])).
% 12.66/7.08 fof(f3100,plain,(
% 12.66/7.08 ![X0]: (before_on_line(reverse_line(line_connecting(X0,X0)),sK1_skl,sK0_skl))),
% 12.66/7.08 inference(resolution,[status(thm)],[f3087,f116])).
% 12.66/7.08 fof(f3566,plain,(
% 12.66/7.08 ![X0,X1]: (before_on_line(X0,sK1_skl,sK0_skl)|unequally_directed_lines(X0,reverse_line(X1))|distinct_points(sK0_skl,sK0_skl)|before_on_line(X1,sK1_skl,sK0_skl))),
% 12.66/7.08 inference(resolution,[status(thm)],[f1726,f1658])).
% 12.66/7.08 fof(f3607,plain,(
% 12.66/7.08 ![X0,X1]: (before_on_line(X0,sK1_skl,sK0_skl)|unequally_directed_lines(X0,reverse_line(X1))|before_on_line(X1,sK1_skl,sK0_skl))),
% 12.66/7.08 inference(forward_subsumption_resolution,[status(thm)],[f3566,f70])).
% 12.66/7.08 fof(f3641,plain,(
% 12.66/7.08 ![X0,X1]: (before_on_line(line_connecting(X0,X1),sK1_skl,sK0_skl)|before_on_line(line_connecting(X1,X0),sK1_skl,sK0_skl))),
% 12.66/7.08 inference(resolution,[status(thm)],[f3607,f116])).
% 12.66/7.08 fof(f3662,plain,(
% 12.66/7.08 ![X0]: (before_on_line(X0,sK1_skl,sK0_skl)|unequally_directed_lines(X0,reverse_line(X0)))),
% 12.66/7.08 inference(factoring,[status(thm)],[f3607])).
% 12.66/7.08 fof(f3689,plain,(
% 12.66/7.08 ![X0,X1]: (before_on_line(X0,sK1_skl,sK0_skl)|unequally_directed_lines(X0,X1)|unequally_directed_lines(reverse_line(X0),X1))),
% 12.66/7.08 inference(resolution,[status(thm)],[f3662,f81])).
% 12.66/7.08 fof(f3717,plain,(
% 12.66/7.08 ![X0,X1,X2]: (before_on_line(X0,sK1_skl,sK0_skl)|unequally_directed_lines(X0,line_connecting(X1,X2))|~before_on_line(reverse_line(X0),X1,X2))),
% 12.66/7.08 inference(resolution,[status(thm)],[f3689,f60])).
% 12.66/7.08 fof(f3727,plain,(
% 12.66/7.08 ![X0,X1,X2]: (before_on_line(X0,sK1_skl,sK0_skl)|unequally_directed_lines(X0,X1)|unequally_directed_lines(reverse_line(X0),X2)|unequally_directed_lines(X1,X2))),
% 12.66/7.09 inference(resolution,[status(thm)],[f3689,f81])).
% 12.66/7.09 fof(f4516,plain,(
% 12.66/7.09 ![X0,X1]: (before_on_line(X0,sK1_skl,sK0_skl)|unequally_directed_lines(X0,line_connecting(sK0_skl,sK1_skl))|unequally_directed_lines(reverse_line(X0),X1)|before_on_line(X1,sK1_skl,sK0_skl))),
% 12.66/7.09 inference(resolution,[status(thm)],[f3717,f2603])).
% 12.66/7.09 fof(f4548,plain,(
% 12.66/7.09 ![X0,X1]: (before_on_line(X0,sK1_skl,sK0_skl)|unequally_directed_lines(reverse_line(X0),X1)|before_on_line(X1,sK1_skl,sK0_skl))),
% 12.66/7.09 inference(forward_subsumption_resolution,[status(thm)],[f4516,f1750])).
% 12.66/7.09 fof(f4775,plain,(
% 12.66/7.09 ![X0]: (before_on_line(X0,sK1_skl,sK0_skl)|unequally_directed_lines(reverse_line(X0),line_connecting(sK0_skl,sK1_skl)))),
% 12.66/7.09 inference(resolution,[status(thm)],[f4548,f2321])).
% 12.66/7.09 fof(f4791,plain,(
% 12.66/7.09 ![X0]: (before_on_line(X0,sK1_skl,sK0_skl)|~before_on_line(reverse_line(X0),sK0_skl,sK1_skl))),
% 12.66/7.09 inference(resolution,[status(thm)],[f4775,f60])).
% 12.66/7.09 fof(f5374,plain,(
% 12.66/7.09 ![X0,X1]: (before_on_line(X0,sK1_skl,sK0_skl)|unequally_directed_lines(X0,X1)|unequally_directed_lines(X1,line_connecting(sK1_skl,sK0_skl))|before_on_line(reverse_line(X0),sK0_skl,sK1_skl))),
% 12.66/7.09 inference(resolution,[status(thm)],[f3727,f1907])).
% 12.66/7.09 fof(f5450,plain,(
% 12.66/7.09 ![X0,X1]: (before_on_line(X0,sK1_skl,sK0_skl)|unequally_directed_lines(X0,X1)|unequally_directed_lines(X1,line_connecting(sK1_skl,sK0_skl)))),
% 12.66/7.09 inference(forward_subsumption_resolution,[status(thm)],[f5374,f4791])).
% 12.66/7.09 fof(f5746,plain,(
% 12.66/7.09 ![X0,X1]: (before_on_line(X0,sK1_skl,sK0_skl)|unequally_directed_lines(X0,X1)|~before_on_line(X1,sK1_skl,sK0_skl))),
% 12.66/7.09 inference(resolution,[status(thm)],[f5450,f60])).
% 12.66/7.09 fof(f6084,plain,(
% 12.66/7.09 ![X0,X1]: (before_on_line(X0,sK1_skl,sK0_skl)|unequally_directed_lines(X0,reverse_line(line_connecting(X1,X1))))),
% 12.66/7.09 inference(resolution,[status(thm)],[f5746,f3100])).
% 12.66/7.09 fof(f6102,plain,(
% 12.66/7.09 ![X0,X1]: (before_on_line(X0,sK1_skl,sK0_skl)|unequally_directed_lines(X0,line_connecting(X1,X1)))),
% 12.66/7.09 inference(resolution,[status(thm)],[f5746,f3641])).
% 12.66/7.09 fof(f6164,plain,(
% 12.66/7.09 ![X0]: (before_on_line(line_connecting(sK0_skl,sK1_skl),sK1_skl,sK0_skl)|~unequally_directed_lines(line_connecting(sK1_skl,sK0_skl),line_connecting(X0,X0)))),
% 12.66/7.09 inference(resolution,[status(thm)],[f6102,f2412])).
% 12.66/7.09 fof(f6176,plain,(
% 12.66/7.09 ![X0]: (~unequally_directed_lines(line_connecting(sK1_skl,sK0_skl),line_connecting(X0,X0)))),
% 12.66/7.09 inference(forward_subsumption_resolution,[status(thm)],[f6164,f2321])).
% 12.66/7.09 fof(f6179,plain,(
% 12.66/7.09 ![X0]: (unequally_directed_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(X0,X0)))),
% 12.66/7.09 inference(resolution,[status(thm)],[f6176,f2326])).
% 12.66/7.09 fof(f6608,plain,(
% 12.66/7.09 ![X0]: (before_on_line(line_connecting(sK0_skl,sK1_skl),sK1_skl,sK0_skl)|~unequally_directed_lines(line_connecting(sK1_skl,sK0_skl),reverse_line(line_connecting(X0,X0))))),
% 12.66/7.09 inference(resolution,[status(thm)],[f6084,f2412])).
% 12.66/7.09 fof(f6626,plain,(
% 12.66/7.09 ![X0]: (~unequally_directed_lines(line_connecting(sK1_skl,sK0_skl),reverse_line(line_connecting(X0,X0))))),
% 12.66/7.09 inference(forward_subsumption_resolution,[status(thm)],[f6608,f2321])).
% 12.66/7.09 fof(f6635,plain,(
% 12.66/7.09 ![X0]: (unequally_directed_lines(line_connecting(sK0_skl,sK1_skl),reverse_line(line_connecting(X0,X0))))),
% 12.66/7.09 inference(resolution,[status(thm)],[f6626,f2326])).
% 12.66/7.09 fof(f6698,plain,(
% 12.66/7.09 ![X0]: (~unequally_directed_lines(line_connecting(sK0_skl,sK1_skl),line_connecting(X0,X0))|left_convergent_lines(line_connecting(sK0_skl,sK1_skl),reverse_line(line_connecting(X0,X0))))),
% 12.66/7.09 inference(resolution,[status(thm)],[f6635,f442])).
% 12.66/7.09 fof(f6711,plain,(
% 12.66/7.09 ![X0]: (left_convergent_lines(line_connecting(sK0_skl,sK1_skl),reverse_line(line_connecting(X0,X0))))),
% 12.66/7.09 inference(forward_subsumption_resolution,[status(thm)],[f6698,f6179])).
% 12.66/7.09 fof(f6735,plain,(
% 12.66/7.09 $false),
% 12.66/7.09 inference(forward_subsumption_resolution,[status(thm)],[f6711,f98])).
% 12.66/7.09 % SZS output end CNFRefutation for theBenchmark.p
% 12.66/7.11 % Elapsed time: 1.713663 seconds
% 12.66/7.11 % CPU time: 13.420682 seconds
% 12.66/7.11 % Total memory used: 97.920 MB
% 12.66/7.11 % Net memory used: 81.290 MB
%------------------------------------------------------------------------------