%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO255+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 : n007.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 0.80s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO255+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 14:36:05 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.80/0.57 % Refutation found
% 0.80/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.80/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.80/0.57 fof(f1,axiom,(
% 0.80/0.57 (! [X,Y] :( unequally_directed_opposite_lines(X,Y)<=> unequally_directed_lines(X,reverse_line(Y)) ) )),
% 0.80/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.80/0.57 fof(f4,axiom,(
% 0.80/0.57 (! [X,Y] :( equally_directed_lines(X,Y)<=> ~ unequally_directed_lines(X,Y) ) )),
% 0.80/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.80/0.57 fof(f7,axiom,(
% 0.80/0.57 (! [L,M] :( convergent_lines(L,M)<=> ( unequally_directed_lines(L,M)& unequally_directed_opposite_lines(L,M) ) ) )),
% 0.80/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.80/0.57 fof(f9,axiom,(
% 0.80/0.57 (! [L,A,B] :( before_on_line(L,A,B)<=> ( distinct_points(A,B)& incident_point_and_line(A,L)& incident_point_and_line(B,L)& equally_directed_lines(L,line_connecting(A,B)) ) ) )),
% 0.80/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.80/0.57 fof(f11,axiom,(
% 0.80/0.57 (! [A] : ~ distinct_points(A,A) )),
% 0.80/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.80/0.57 fof(f12,axiom,(
% 0.80/0.57 (! [A,B,C] :( distinct_points(A,B)=> ( distinct_points(A,C)| distinct_points(B,C) ) ) )),
% 0.80/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.80/0.57 fof(f15,axiom,(
% 0.80/0.57 (! [L] : equally_directed_lines(L,L) )),
% 0.80/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.80/0.57 fof(f16,axiom,(
% 0.80/0.57 (! [L,M,N] :( unequally_directed_lines(L,M)=> ( unequally_directed_lines(L,N)| unequally_directed_lines(M,N) ) ) )),
% 0.80/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.80/0.57 fof(f18,axiom,(
% 0.80/0.57 (! [L,M] :( unequally_directed_lines(L,M)| unequally_directed_lines(L,reverse_line(M)) ) )),
% 0.80/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.80/0.57 fof(f19,axiom,(
% 0.80/0.57 (! [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)) ) ) )),
% 0.80/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.80/0.57 fof(f21,axiom,(
% 0.80/0.57 (! [L,M] :~ ( left_convergent_lines(L,M)| left_convergent_lines(L,reverse_line(M)) ) )),
% 0.80/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.80/0.57 fof(f30,axiom,(
% 0.80/0.57 (! [A,B] :( distinct_points(A,B)=> equally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))) ) )),
% 0.80/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.80/0.57 fof(f37,conjecture,(
% 0.80/0.57 (! [L,A,B] :~ ( before_on_line(L,A,B)& before_on_line(L,B,A) ) )),
% 0.80/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.80/0.57 fof(f38,negated_conjecture,(
% 0.80/0.57 ~((! [L,A,B] :~ ( before_on_line(L,A,B)& before_on_line(L,B,A) ) ))),
% 0.80/0.57 inference(negated_conjecture,[status(cth)],[f37])).
% 0.80/0.57 fof(f39,plain,(
% 0.80/0.57 ![X,Y]: ((~unequally_directed_opposite_lines(X,Y)|unequally_directed_lines(X,reverse_line(Y)))&(unequally_directed_opposite_lines(X,Y)|~unequally_directed_lines(X,reverse_line(Y))))),
% 0.80/0.57 inference(NNF_transformation,[status(thm)],[f1])).
% 0.80/0.57 fof(f40,plain,(
% 0.80/0.57 (![X,Y]: (~unequally_directed_opposite_lines(X,Y)|unequally_directed_lines(X,reverse_line(Y))))&(![X,Y]: (unequally_directed_opposite_lines(X,Y)|~unequally_directed_lines(X,reverse_line(Y))))),
% 0.80/0.57 inference(miniscoping,[status(thm)],[f39])).
% 0.80/0.57 fof(f41,plain,(
% 0.80/0.57 ![X0,X1]: (~unequally_directed_opposite_lines(X0,X1)|unequally_directed_lines(X0,reverse_line(X1)))),
% 0.80/0.57 inference(cnf_transformation,[status(thm)],[f40])).
% 0.80/0.57 fof(f42,plain,(
% 0.80/0.57 ![X0,X1]: (unequally_directed_opposite_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1)))),
% 0.80/0.57 inference(cnf_transformation,[status(thm)],[f40])).
% 0.80/0.57 fof(f51,plain,(
% 0.80/0.57 ![X,Y]: ((~equally_directed_lines(X,Y)|~unequally_directed_lines(X,Y))&(equally_directed_lines(X,Y)|unequally_directed_lines(X,Y)))),
% 0.80/0.57 inference(NNF_transformation,[status(thm)],[f4])).
% 0.80/0.57 fof(f52,plain,(
% 0.80/0.57 (![X,Y]: (~equally_directed_lines(X,Y)|~unequally_directed_lines(X,Y)))&(![X,Y]: (equally_directed_lines(X,Y)|unequally_directed_lines(X,Y)))),
% 0.80/0.57 inference(miniscoping,[status(thm)],[f51])).
% 0.80/0.57 fof(f53,plain,(
% 0.80/0.57 ![X0,X1]: (~equally_directed_lines(X0,X1)|~unequally_directed_lines(X0,X1))),
% 0.80/0.57 inference(cnf_transformation,[status(thm)],[f52])).
% 0.80/0.57 fof(f64,plain,(
% 0.80/0.57 ![L,M]: ((~convergent_lines(L,M)|(unequally_directed_lines(L,M)&unequally_directed_opposite_lines(L,M)))&(convergent_lines(L,M)|(~unequally_directed_lines(L,M)|~unequally_directed_opposite_lines(L,M))))),
% 0.80/0.57 inference(NNF_transformation,[status(thm)],[f7])).
% 0.80/0.57 fof(f65,plain,(
% 0.80/0.57 (![L,M]: (~convergent_lines(L,M)|(unequally_directed_lines(L,M)&unequally_directed_opposite_lines(L,M))))&(![L,M]: (convergent_lines(L,M)|(~unequally_directed_lines(L,M)|~unequally_directed_opposite_lines(L,M))))),
% 0.80/0.57 inference(miniscoping,[status(thm)],[f64])).
% 0.80/0.57 fof(f66,plain,(
% 0.80/0.57 ![X0,X1]: (~convergent_lines(X0,X1)|unequally_directed_lines(X0,X1))),
% 0.80/0.57 inference(cnf_transformation,[status(thm)],[f65])).
% 0.80/0.57 fof(f68,plain,(
% 0.80/0.57 ![X0,X1]: (convergent_lines(X0,X1)|~unequally_directed_lines(X0,X1)|~unequally_directed_opposite_lines(X0,X1))),
% 0.80/0.57 inference(cnf_transformation,[status(thm)],[f65])).
% 0.80/0.57 fof(f77,plain,(
% 0.80/0.57 ![L,A,B]: ((~before_on_line(L,A,B)|(((distinct_points(A,B)&incident_point_and_line(A,L))&incident_point_and_line(B,L))&equally_directed_lines(L,line_connecting(A,B))))&(before_on_line(L,A,B)|(((~distinct_points(A,B)|~incident_point_and_line(A,L))|~incident_point_and_line(B,L))|~equally_directed_lines(L,line_connecting(A,B)))))),
% 0.80/0.57 inference(NNF_transformation,[status(thm)],[f9])).
% 0.80/0.57 fof(f78,plain,(
% 0.80/0.57 (![L,A,B]: (~before_on_line(L,A,B)|(((distinct_points(A,B)&incident_point_and_line(A,L))&incident_point_and_line(B,L))&equally_directed_lines(L,line_connecting(A,B)))))&(![L,A,B]: (before_on_line(L,A,B)|(((~distinct_points(A,B)|~incident_point_and_line(A,L))|~incident_point_and_line(B,L))|~equally_directed_lines(L,line_connecting(A,B)))))),
% 0.80/0.57 inference(miniscoping,[status(thm)],[f77])).
% 0.80/0.57 fof(f79,plain,(
% 0.80/0.57 ![X0,X1,X2]: (~before_on_line(X0,X1,X2)|distinct_points(X1,X2))),
% 0.80/0.57 inference(cnf_transformation,[status(thm)],[f78])).
% 0.80/0.57 fof(f82,plain,(
% 0.80/0.57 ![X0,X1,X2]: (~before_on_line(X0,X1,X2)|equally_directed_lines(X0,line_connecting(X1,X2)))),
% 0.80/0.57 inference(cnf_transformation,[status(thm)],[f78])).
% 0.80/0.57 fof(f92,plain,(
% 0.80/0.57 ![X0]: (~distinct_points(X0,X0))),
% 0.80/0.57 inference(cnf_transformation,[status(thm)],[f11])).
% 0.80/0.57 fof(f93,plain,(
% 0.80/0.57 ![A,B,C]: (~distinct_points(A,B)|(distinct_points(A,C)|distinct_points(B,C)))),
% 0.80/0.57 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.80/0.57 fof(f94,plain,(
% 0.80/0.57 ![A,B]: (~distinct_points(A,B)|(![C]: (distinct_points(A,C)|distinct_points(B,C))))),
% 0.80/0.57 inference(miniscoping,[status(thm)],[f93])).
% 0.80/0.57 fof(f95,plain,(
% 0.80/0.57 ![X0,X1,X2]: (~distinct_points(X0,X1)|distinct_points(X0,X2)|distinct_points(X1,X2))),
% 0.80/0.57 inference(cnf_transformation,[status(thm)],[f94])).
% 0.80/0.57 fof(f100,plain,(
% 0.80/0.57 ![X0]: (equally_directed_lines(X0,X0))),
% 0.80/0.57 inference(cnf_transformation,[status(thm)],[f15])).
% 0.80/0.57 fof(f101,plain,(
% 0.80/0.57 ![L,M,N]: (~unequally_directed_lines(L,M)|(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))),
% 0.80/0.57 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.80/0.57 fof(f102,plain,(
% 0.80/0.57 ![L,M]: (~unequally_directed_lines(L,M)|(![N]: (unequally_directed_lines(L,N)|unequally_directed_lines(M,N))))),
% 0.80/0.57 inference(miniscoping,[status(thm)],[f101])).
% 0.80/0.57 fof(f103,plain,(
% 0.80/0.57 ![X0,X1,X2]: (~unequally_directed_lines(X0,X1)|unequally_directed_lines(X0,X2)|unequally_directed_lines(X1,X2))),
% 0.80/0.57 inference(cnf_transformation,[status(thm)],[f102])).
% 0.80/0.57 fof(f110,plain,(
% 0.80/0.57 ![X0,X1]: (unequally_directed_lines(X0,X1)|unequally_directed_lines(X0,reverse_line(X1)))),
% 0.80/0.57 inference(cnf_transformation,[status(thm)],[f18])).
% 0.80/0.57 fof(f111,plain,(
% 0.80/0.57 ![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))))),
% 0.80/0.57 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.80/0.57 fof(f112,plain,(
% 0.80/0.57 ![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)))),
% 0.80/0.57 inference(cnf_transformation,[status(thm)],[f111])).
% 0.80/0.57 fof(f117,plain,(
% 0.80/0.57 ![L,M]: (~left_convergent_lines(L,M)&~left_convergent_lines(L,reverse_line(M)))),
% 0.80/0.57 inference(pre_NNF_transformation,[status(thm)],[f21])).
% 0.80/0.57 fof(f118,plain,(
% 0.80/0.57 (![L,M]: ~left_convergent_lines(L,M))&(![L,M]: ~left_convergent_lines(L,reverse_line(M)))),
% 0.80/0.57 inference(miniscoping,[status(thm)],[f117])).
% 0.80/0.57 fof(f119,plain,(
% 0.80/0.57 ![X0,X1]: (~left_convergent_lines(X0,X1))),
% 0.80/0.57 inference(cnf_transformation,[status(thm)],[f118])).
% 0.80/0.57 fof(f137,plain,(
% 0.80/0.57 ![A,B]: (~distinct_points(A,B)|equally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))))),
% 0.80/0.57 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.80/0.57 fof(f138,plain,(
% 0.80/0.57 ![X0,X1]: (~distinct_points(X0,X1)|equally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))))),
% 0.80/0.57 inference(cnf_transformation,[status(thm)],[f137])).
% 0.80/0.57 fof(f152,plain,(
% 0.80/0.57 (?[L,A,B]: (before_on_line(L,A,B)&before_on_line(L,B,A)))),
% 0.80/0.57 inference(pre_NNF_transformation,[status(thm)],[f38])).
% 0.80/0.57 fof(f153,plain,(
% 0.80/0.57 (before_on_line(sK0_skl,sK1_skl,sK2_skl)&before_on_line(sK0_skl,sK2_skl,sK1_skl))),
% 0.80/0.57 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(L,sK0_skl),skolemize(A,sK1_skl),skolemize(B,sK2_skl)],[f152])).
% 0.80/0.57 fof(f154,plain,(
% 0.80/0.57 before_on_line(sK0_skl,sK1_skl,sK2_skl)),
% 0.80/0.57 inference(cnf_transformation,[status(thm)],[f153])).
% 0.80/0.57 fof(f155,plain,(
% 0.80/0.57 before_on_line(sK0_skl,sK2_skl,sK1_skl)),
% 0.80/0.57 inference(cnf_transformation,[status(thm)],[f153])).
% 0.80/0.57 fof(f168,plain,(
% 0.80/0.57 distinct_points(sK1_skl,sK2_skl)),
% 0.80/0.57 inference(resolution,[status(thm)],[f79,f154])).
% 0.80/0.57 fof(f173,plain,(
% 0.80/0.57 ![X0,X1]: (unequally_directed_lines(X0,X1)|unequally_directed_opposite_lines(X0,X1))),
% 0.80/0.57 inference(resolution,[status(thm)],[f110,f42])).
% 0.80/0.57 fof(f174,plain,(
% 0.80/0.57 ![X0,X1]: (unequally_directed_lines(X0,X1)|~equally_directed_lines(X0,reverse_line(X1)))),
% 0.80/0.57 inference(resolution,[status(thm)],[f110,f53])).
% 0.80/0.57 fof(f176,plain,(
% 0.80/0.57 ![X0,X1]: (unequally_directed_opposite_lines(X0,X1)|~equally_directed_lines(X0,X1))),
% 0.80/0.57 inference(resolution,[status(thm)],[f173,f53])).
% 0.80/0.57 fof(f196,plain,(
% 0.80/0.57 ![X0]: (unequally_directed_lines(reverse_line(X0),X0))),
% 0.80/0.57 inference(resolution,[status(thm)],[f174,f100])).
% 0.80/0.57 fof(f209,plain,(
% 0.80/0.57 equally_directed_lines(sK0_skl,line_connecting(sK2_skl,sK1_skl))),
% 0.80/0.57 inference(resolution,[status(thm)],[f82,f155])).
% 0.80/0.57 fof(f210,plain,(
% 0.80/0.57 equally_directed_lines(sK0_skl,line_connecting(sK1_skl,sK2_skl))),
% 0.80/0.57 inference(resolution,[status(thm)],[f82,f154])).
% 0.80/0.57 fof(f211,plain,(
% 0.80/0.57 unequally_directed_opposite_lines(sK0_skl,line_connecting(sK2_skl,sK1_skl))),
% 0.80/0.57 inference(resolution,[status(thm)],[f209,f176])).
% 0.80/0.57 fof(f212,plain,(
% 0.80/0.57 unequally_directed_opposite_lines(sK0_skl,line_connecting(sK1_skl,sK2_skl))),
% 0.80/0.57 inference(resolution,[status(thm)],[f210,f176])).
% 0.80/0.57 fof(f214,plain,(
% 0.80/0.57 convergent_lines(sK0_skl,line_connecting(sK2_skl,sK1_skl))|~unequally_directed_lines(sK0_skl,line_connecting(sK2_skl,sK1_skl))),
% 0.80/0.57 inference(resolution,[status(thm)],[f211,f68])).
% 0.80/0.57 fof(f215,definition,(
% 0.80/0.57 sQ0_spl <=> (convergent_lines(sK0_skl,line_connecting(sK2_skl,sK1_skl)))),
% 0.80/0.57 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.80/0.57 fof(f216,plain,(
% 0.80/0.57 convergent_lines(sK0_skl,line_connecting(sK2_skl,sK1_skl))|~sQ0_spl),
% 0.80/0.57 inference(component_clause,[status(thm)],[f215])).
% 0.80/0.57 fof(f218,definition,(
% 0.80/0.57 sQ1_spl <=> (unequally_directed_lines(sK0_skl,line_connecting(sK2_skl,sK1_skl)))),
% 0.80/0.57 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.80/0.57 fof(f221,plain,(
% 0.80/0.57 sQ0_spl|~sQ1_spl),
% 0.80/0.57 inference(split_clause,[status(thm)],[f214,f215,f218])).
% 0.80/0.57 fof(f279,plain,(
% 0.80/0.57 unequally_directed_lines(sK0_skl,line_connecting(sK2_skl,sK1_skl))|~sQ0_spl),
% 0.80/0.57 inference(resolution,[status(thm)],[f216,f66])).
% 0.80/0.57 fof(f285,plain,(
% 0.80/0.57 ~equally_directed_lines(sK0_skl,line_connecting(sK2_skl,sK1_skl))|~sQ0_spl),
% 0.80/0.57 inference(resolution,[status(thm)],[f279,f53])).
% 0.80/0.57 fof(f286,plain,(
% 0.80/0.57 $false|~sQ0_spl),
% 0.80/0.57 inference(forward_subsumption_resolution,[status(thm)],[f285,f209])).
% 0.80/0.57 fof(f287,plain,(
% 0.80/0.57 ~sQ0_spl),
% 0.80/0.57 inference(contradiction_clause,[status(thm)],[f286])).
% 0.80/0.57 fof(f313,plain,(
% 0.80/0.57 ![X0]: (distinct_points(sK1_skl,X0)|distinct_points(sK2_skl,X0))),
% 0.80/0.57 inference(resolution,[status(thm)],[f95,f168])).
% 0.80/0.57 fof(f319,plain,(
% 0.80/0.57 ![X0,X1]: (distinct_points(sK1_skl,X0)|distinct_points(sK2_skl,X1)|distinct_points(X0,X1))),
% 0.80/0.57 inference(resolution,[status(thm)],[f313,f95])).
% 0.80/0.57 fof(f350,plain,(
% 0.80/0.57 ![X0,X1,X2]: (distinct_points(sK1_skl,X0)|distinct_points(X0,X1)|distinct_points(sK2_skl,X2)|distinct_points(X1,X2))),
% 0.80/0.57 inference(resolution,[status(thm)],[f319,f95])).
% 0.80/0.57 fof(f367,definition,(
% 0.80/0.57 ![X0]: (sQ18_spl <=> (distinct_points(sK1_skl,X0)|distinct_points(sK1_skl,X0)))),
% 0.80/0.57 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.80/0.57 fof(f368,plain,(
% 0.80/0.57 ![X0]: (distinct_points(sK1_skl,X0)|distinct_points(sK1_skl,X0)|~sQ18_spl)),
% 0.80/0.57 inference(component_clause,[status(thm)],[f367])).
% 0.80/0.57 fof(f371,definition,(
% 0.80/0.57 sQ19_spl <=> (distinct_points(sK1_skl,sK2_skl))),
% 0.80/0.57 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.80/0.57 fof(f379,definition,(
% 0.80/0.57 ![X0]: (sQ21_spl <=> (distinct_points(sK1_skl,X0)|distinct_points(X0,sK1_skl)))),
% 0.80/0.57 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.80/0.57 fof(f380,plain,(
% 0.80/0.57 ![X0]: (distinct_points(sK1_skl,X0)|distinct_points(X0,sK1_skl)|~sQ21_spl)),
% 0.80/0.57 inference(component_clause,[status(thm)],[f379])).
% 0.80/0.57 fof(f440,plain,(
% 0.80/0.57 ![X0,X1]: (unequally_directed_lines(reverse_line(X0),X1)|unequally_directed_lines(X0,X1))),
% 0.80/0.57 inference(resolution,[status(thm)],[f103,f196])).
% 0.80/0.57 fof(f445,plain,(
% 0.80/0.57 ![X0,X1,X2]: (unequally_directed_lines(X0,X1)|unequally_directed_lines(reverse_line(X2),X1)|~unequally_directed_opposite_lines(X0,X2))),
% 0.80/0.57 inference(resolution,[status(thm)],[f103,f41])).
% 0.80/0.57 fof(f612,plain,(
% 0.80/0.57 ![X0,X1]: (unequally_directed_lines(X0,reverse_line(X1))|unequally_directed_opposite_lines(reverse_line(X0),X1))),
% 0.80/0.57 inference(resolution,[status(thm)],[f440,f42])).
% 0.80/0.57 fof(f692,plain,(
% 0.80/0.57 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1))|left_convergent_lines(X0,reverse_line(X1)))),
% 0.80/0.57 inference(forward_subsumption_resolution,[status(thm)],[f112,f119])).
% 0.80/0.57 fof(f693,plain,(
% 0.80/0.57 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1)))),
% 0.80/0.57 inference(resolution,[status(thm)],[f692,f119])).
% 0.80/0.57 fof(f887,plain,(
% 0.80/0.57 ![X0,X1]: (distinct_points(sK1_skl,X0)|distinct_points(X0,X1)|distinct_points(X1,sK2_skl))),
% 0.80/0.57 inference(resolution,[status(thm)],[f350,f92])).
% 0.80/0.57 fof(f1018,plain,(
% 0.80/0.57 ![X0,X1]: (~unequally_directed_lines(X0,X1)|unequally_directed_opposite_lines(reverse_line(X0),X1))),
% 0.80/0.57 inference(resolution,[status(thm)],[f693,f612])).
% 0.80/0.57 fof(f1021,plain,(
% 0.80/0.57 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_opposite_lines(X0,X1))),
% 0.80/0.57 inference(resolution,[status(thm)],[f693,f41])).
% 0.80/0.57 fof(f1050,plain,(
% 0.80/0.57 ![X0,X1]: (~distinct_points(X0,X1)|unequally_directed_lines(line_connecting(X0,X1),line_connecting(X1,X0)))),
% 0.80/0.57 inference(resolution,[status(thm)],[f138,f174])).
% 0.80/0.57 fof(f1256,plain,(
% 0.80/0.57 ![X0]: (distinct_points(sK1_skl,X0)|~sQ18_spl)),
% 0.80/0.57 inference(duplicate_literals_removal,[status(thm)],[f368])).
% 0.80/0.57 fof(f1265,plain,(
% 0.80/0.57 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(reverse_line(X0),X1))),
% 0.80/0.57 inference(resolution,[status(thm)],[f1018,f1021])).
% 0.80/0.57 fof(f1370,plain,(
% 0.80/0.57 ![X0]: (unequally_directed_lines(sK0_skl,X0)|unequally_directed_lines(reverse_line(line_connecting(sK1_skl,sK2_skl)),X0))),
% 0.80/0.57 inference(resolution,[status(thm)],[f445,f212])).
% 0.80/0.57 fof(f1439,plain,(
% 0.80/0.57 ![X0]: (distinct_points(sK1_skl,sK2_skl)|distinct_points(sK1_skl,X0)|distinct_points(sK1_skl,X0))),
% 0.80/0.57 inference(resolution,[status(thm)],[f887,f95])).
% 0.80/0.57 fof(f1458,plain,(
% 0.80/0.57 sQ19_spl|sQ18_spl),
% 0.80/0.57 inference(split_clause,[status(thm)],[f1439,f371,f367])).
% 0.80/0.57 fof(f1478,plain,(
% 0.80/0.57 $false|~sQ18_spl),
% 0.80/0.57 inference(resolution,[status(thm)],[f1256,f92])).
% 0.80/0.57 fof(f1480,plain,(
% 0.80/0.57 ~sQ18_spl),
% 0.80/0.57 inference(contradiction_clause,[status(thm)],[f1478])).
% 0.80/0.57 fof(f1514,plain,(
% 0.80/0.57 ![X0]: (~unequally_directed_lines(line_connecting(sK1_skl,sK2_skl),X0)|unequally_directed_lines(sK0_skl,X0))),
% 0.80/0.57 inference(resolution,[status(thm)],[f1265,f1370])).
% 0.80/0.57 fof(f1600,plain,(
% 0.80/0.57 $false|~sQ21_spl),
% 0.80/0.57 inference(resolution,[status(thm)],[f380,f92])).
% 0.80/0.57 fof(f1610,plain,(
% 0.80/0.57 ~sQ21_spl),
% 0.80/0.57 inference(contradiction_clause,[status(thm)],[f1600])).
% 0.80/0.57 fof(f2698,plain,(
% 0.80/0.57 unequally_directed_lines(sK0_skl,line_connecting(sK2_skl,sK1_skl))|~distinct_points(sK1_skl,sK2_skl)),
% 0.80/0.57 inference(resolution,[status(thm)],[f1514,f1050])).
% 0.80/0.58 fof(f2740,plain,(
% 0.80/0.58 sQ1_spl|~sQ19_spl),
% 0.80/0.58 inference(split_clause,[status(thm)],[f2698,f218,f371])).
% 0.80/0.58 fof(f2762,plain,(
% 0.80/0.58 $false),
% 0.80/0.58 inference(sat_refutation,[status(thm)],[f221,f287,f1458,f1480,f1610,f2740])).
% 0.80/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.80/0.58 % Elapsed time: 0.213948 seconds
% 0.80/0.58 % CPU time: 1.371846 seconds
% 0.80/0.58 % Total memory used: 34.439 MB
% 0.80/0.58 % Net memory used: 31.250 MB
%------------------------------------------------------------------------------