TSTP Solution File: GEO222+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO222+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:08:24 EDT 2023
% Result : Theorem 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO222+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 12:10:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.19/0.49 % Refutation found
% 0.19/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.49 fof(f3,axiom,(
% 0.19/0.49 (! [X] : ~ convergent_lines(X,X) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f6,axiom,(
% 0.19/0.49 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( convergent_lines(X,Z)| convergent_lines(Y,Z) ) ) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f13,axiom,(
% 0.19/0.49 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f14,axiom,(
% 0.19/0.49 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( distinct_lines(Y,Z)| convergent_lines(X,Z) ) ) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f15,axiom,(
% 0.19/0.49 (! [X,Y] :( distinct_lines(X,Y)=> convergent_lines(X,Y) ) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f16,axiom,(
% 0.19/0.49 (! [X,Y] : ~ convergent_lines(parallel_through_point(Y,X),Y) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f17,axiom,(
% 0.19/0.49 (! [X,Y] : ~ apart_point_and_line(X,parallel_through_point(Y,X)) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f19,axiom,(
% 0.19/0.49 (! [L,M] :( convergent_lines(L,M)| unorthogonal_lines(L,M) ) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f20,axiom,(
% 0.19/0.49 (! [L,M,N] :( ( convergent_lines(L,M)& unorthogonal_lines(L,M) )=> ( ( convergent_lines(L,N)& unorthogonal_lines(L,N) )| ( convergent_lines(M,N)& unorthogonal_lines(M,N) ) ) ) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f21,axiom,(
% 0.19/0.49 (! [A,L] : ~ unorthogonal_lines(orthogonal_through_point(L,A),L) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f22,axiom,(
% 0.19/0.49 (! [A,L] : ~ apart_point_and_line(A,orthogonal_through_point(L,A)) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f23,axiom,(
% 0.19/0.49 (! [A,L,M,N] :( distinct_lines(L,M)=> ( apart_point_and_line(A,L)| apart_point_and_line(A,M)| unorthogonal_lines(L,N)| unorthogonal_lines(M,N) ) ) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f33,axiom,(
% 0.19/0.49 (! [X,Y] :( parallel_lines(X,Y)<=> ~ convergent_lines(X,Y) ) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f36,conjecture,(
% 0.19/0.49 (! [A,L] : parallel_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)) )),
% 0.19/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.49 fof(f37,negated_conjecture,(
% 0.19/0.49 ~((! [A,L] : parallel_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)) ))),
% 0.19/0.49 inference(negated_conjecture,[status(cth)],[f36])).
% 0.19/0.49 fof(f40,plain,(
% 0.19/0.49 ![X0]: (~convergent_lines(X0,X0))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f3])).
% 0.19/0.49 fof(f47,plain,(
% 0.19/0.49 ![X,Y,Z]: (~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.19/0.49 fof(f48,plain,(
% 0.19/0.49 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (convergent_lines(X,Z)|convergent_lines(Y,Z))))),
% 0.19/0.49 inference(miniscoping,[status(esa)],[f47])).
% 0.19/0.49 fof(f49,plain,(
% 0.19/0.49 ![X0,X1,X2]: (~convergent_lines(X0,X1)|convergent_lines(X0,X2)|convergent_lines(X1,X2))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f48])).
% 0.19/0.49 fof(f63,plain,(
% 0.19/0.49 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.19/0.49 fof(f64,plain,(
% 0.19/0.49 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.19/0.49 inference(miniscoping,[status(esa)],[f63])).
% 0.19/0.49 fof(f65,plain,(
% 0.19/0.49 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.19/0.49 inference(cnf_transformation,[status(esa)],[f64])).
% 0.19/0.49 fof(f66,plain,(
% 0.19/0.49 ![X,Y,Z]: (~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))),
% 0.19/0.49 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.19/0.49 fof(f67,plain,(
% 0.19/0.49 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (distinct_lines(Y,Z)|convergent_lines(X,Z))))),
% 0.19/0.49 inference(miniscoping,[status(esa)],[f66])).
% 0.19/0.49 fof(f68,plain,(
% 0.19/0.49 ![X0,X1,X2]: (~convergent_lines(X0,X1)|distinct_lines(X1,X2)|convergent_lines(X0,X2))),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f67])).
% 0.19/0.50 fof(f69,plain,(
% 0.19/0.50 ![X,Y]: (~distinct_lines(X,Y)|convergent_lines(X,Y))),
% 0.19/0.50 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.19/0.50 fof(f70,plain,(
% 0.19/0.50 ![X0,X1]: (~distinct_lines(X0,X1)|convergent_lines(X0,X1))),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f69])).
% 0.19/0.50 fof(f71,plain,(
% 0.19/0.50 ![X0,X1]: (~convergent_lines(parallel_through_point(X0,X1),X0))),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f16])).
% 0.19/0.50 fof(f72,plain,(
% 0.19/0.50 ![X0,X1]: (~apart_point_and_line(X0,parallel_through_point(X1,X0)))),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f17])).
% 0.19/0.50 fof(f76,plain,(
% 0.19/0.50 ![X0,X1]: (convergent_lines(X0,X1)|unorthogonal_lines(X0,X1))),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f19])).
% 0.19/0.50 fof(f77,plain,(
% 0.19/0.50 ![L,M,N]: ((~convergent_lines(L,M)|~unorthogonal_lines(L,M))|((convergent_lines(L,N)&unorthogonal_lines(L,N))|(convergent_lines(M,N)&unorthogonal_lines(M,N))))),
% 0.19/0.50 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.19/0.50 fof(f78,plain,(
% 0.19/0.50 ![L,N]: (pd0_0(N,L)=>(convergent_lines(L,N)&unorthogonal_lines(L,N)))),
% 0.19/0.50 introduced(predicate_definition,[f77])).
% 0.19/0.50 fof(f79,plain,(
% 0.19/0.50 ![L,M,N]: ((~convergent_lines(L,M)|~unorthogonal_lines(L,M))|(pd0_0(N,L)|(convergent_lines(M,N)&unorthogonal_lines(M,N))))),
% 0.19/0.50 inference(formula_renaming,[status(thm)],[f77,f78])).
% 0.19/0.50 fof(f80,plain,(
% 0.19/0.50 ![L,M]: ((~convergent_lines(L,M)|~unorthogonal_lines(L,M))|(![N]: (pd0_0(N,L)|(convergent_lines(M,N)&unorthogonal_lines(M,N)))))),
% 0.19/0.50 inference(miniscoping,[status(esa)],[f79])).
% 0.19/0.50 fof(f82,plain,(
% 0.19/0.50 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~unorthogonal_lines(X0,X1)|pd0_0(X2,X0)|unorthogonal_lines(X1,X2))),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f80])).
% 0.19/0.50 fof(f83,plain,(
% 0.19/0.50 ![X0,X1]: (~unorthogonal_lines(orthogonal_through_point(X0,X1),X0))),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f21])).
% 0.19/0.50 fof(f84,plain,(
% 0.19/0.50 ![X0,X1]: (~apart_point_and_line(X0,orthogonal_through_point(X1,X0)))),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f22])).
% 0.19/0.50 fof(f85,plain,(
% 0.19/0.50 ![A,L,M,N]: (~distinct_lines(L,M)|(((apart_point_and_line(A,L)|apart_point_and_line(A,M))|unorthogonal_lines(L,N))|unorthogonal_lines(M,N)))),
% 0.19/0.50 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 0.19/0.50 fof(f86,plain,(
% 0.19/0.50 ![L,M]: (~distinct_lines(L,M)|(![N]: (((![A]: (apart_point_and_line(A,L)|apart_point_and_line(A,M)))|unorthogonal_lines(L,N))|unorthogonal_lines(M,N))))),
% 0.19/0.50 inference(miniscoping,[status(esa)],[f85])).
% 0.19/0.50 fof(f87,plain,(
% 0.19/0.50 ![X0,X1,X2,X3]: (~distinct_lines(X0,X1)|apart_point_and_line(X2,X0)|apart_point_and_line(X2,X1)|unorthogonal_lines(X0,X3)|unorthogonal_lines(X1,X3))),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f86])).
% 0.19/0.50 fof(f115,plain,(
% 0.19/0.50 ![X,Y]: ((~parallel_lines(X,Y)|~convergent_lines(X,Y))&(parallel_lines(X,Y)|convergent_lines(X,Y)))),
% 0.19/0.50 inference(NNF_transformation,[status(esa)],[f33])).
% 0.19/0.50 fof(f116,plain,(
% 0.19/0.50 (![X,Y]: (~parallel_lines(X,Y)|~convergent_lines(X,Y)))&(![X,Y]: (parallel_lines(X,Y)|convergent_lines(X,Y)))),
% 0.19/0.50 inference(miniscoping,[status(esa)],[f115])).
% 0.19/0.50 fof(f118,plain,(
% 0.19/0.50 ![X0,X1]: (parallel_lines(X0,X1)|convergent_lines(X0,X1))),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f116])).
% 0.19/0.50 fof(f127,plain,(
% 0.19/0.50 (?[A,L]: ~parallel_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)))),
% 0.19/0.50 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.19/0.50 fof(f128,plain,(
% 0.19/0.50 ~parallel_lines(sk0_1,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))),
% 0.19/0.50 inference(skolemization,[status(esa)],[f127])).
% 0.19/0.50 fof(f129,plain,(
% 0.19/0.50 ~parallel_lines(sk0_1,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f128])).
% 0.19/0.50 fof(f130,plain,(
% 0.19/0.50 ![L,N]: (~pd0_0(N,L)|(convergent_lines(L,N)&unorthogonal_lines(L,N)))),
% 0.19/0.50 inference(pre_NNF_transformation,[status(esa)],[f78])).
% 0.19/0.50 fof(f131,plain,(
% 0.19/0.50 ![X0,X1]: (~pd0_0(X0,X1)|convergent_lines(X1,X0))),
% 0.19/0.50 inference(cnf_transformation,[status(esa)],[f130])).
% 0.19/0.50 fof(f136,plain,(
% 0.19/0.50 convergent_lines(sk0_1,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))),
% 0.19/0.50 inference(resolution,[status(thm)],[f118,f129])).
% 0.19/0.50 fof(f137,plain,(
% 0.19/0.50 ![X0,X1]: (convergent_lines(orthogonal_through_point(X0,X1),X0))),
% 0.19/0.50 inference(resolution,[status(thm)],[f76,f83])).
% 0.19/0.50 fof(f138,plain,(
% 0.19/0.50 ![X0,X1,X2]: (convergent_lines(orthogonal_through_point(X0,X1),X2)|convergent_lines(X0,X2))),
% 0.19/0.50 inference(resolution,[status(thm)],[f49,f137])).
% 0.19/0.50 fof(f139,plain,(
% 0.19/0.50 ![X0]: (convergent_lines(sk0_1,X0)|convergent_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),X0))),
% 0.19/0.50 inference(resolution,[status(thm)],[f49,f136])).
% 0.19/0.50 fof(f140,plain,(
% 0.19/0.50 ![X0,X1]: (convergent_lines(sk0_1,X0)|convergent_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),X1)|convergent_lines(X0,X1))),
% 0.19/0.50 inference(resolution,[status(thm)],[f139,f49])).
% 0.19/0.50 fof(f142,plain,(
% 0.19/0.50 spl0_0 <=> convergent_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),sk0_1)),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f143,plain,(
% 0.19/0.50 convergent_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),sk0_1)|~spl0_0),
% 0.19/0.50 inference(component_clause,[status(thm)],[f142])).
% 0.19/0.50 fof(f150,plain,(
% 0.19/0.50 ![X0,X1,X2]: (convergent_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),X0)|convergent_lines(X1,X0)|convergent_lines(sk0_1,X2)|convergent_lines(X1,X2))),
% 0.19/0.50 inference(resolution,[status(thm)],[f140,f49])).
% 0.19/0.50 fof(f182,plain,(
% 0.19/0.50 ![X0,X1]: (convergent_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),X0)|convergent_lines(sk0_1,X1)|convergent_lines(X0,X1))),
% 0.19/0.50 inference(resolution,[status(thm)],[f150,f49])).
% 0.19/0.50 fof(f188,plain,(
% 0.19/0.50 spl0_6 <=> convergent_lines(sk0_1,X1)|convergent_lines(X2,X1)),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f189,plain,(
% 0.19/0.50 ![X0,X1]: (convergent_lines(sk0_1,X0)|convergent_lines(X1,X0)|~spl0_6)),
% 0.19/0.50 inference(component_clause,[status(thm)],[f188])).
% 0.19/0.50 fof(f224,plain,(
% 0.19/0.50 $false|~spl0_6),
% 0.19/0.50 inference(resolution,[status(thm)],[f189,f40])).
% 0.19/0.50 fof(f225,plain,(
% 0.19/0.50 ~spl0_6),
% 0.19/0.50 inference(contradiction_clause,[status(thm)],[f224])).
% 0.19/0.50 fof(f273,plain,(
% 0.19/0.50 ![X0,X1]: (convergent_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),sk0_1)|convergent_lines(sk0_1,X0)|convergent_lines(X1,X0))),
% 0.19/0.50 inference(resolution,[status(thm)],[f182,f49])).
% 0.19/0.50 fof(f274,plain,(
% 0.19/0.50 spl0_0|spl0_6),
% 0.19/0.50 inference(split_clause,[status(thm)],[f273,f142,f188])).
% 0.19/0.50 fof(f407,plain,(
% 0.19/0.50 ![X0,X1]: (convergent_lines(X0,orthogonal_through_point(X0,X1)))),
% 0.19/0.50 inference(resolution,[status(thm)],[f138,f40])).
% 0.19/0.50 fof(f470,plain,(
% 0.19/0.50 ![X0]: (distinct_lines(sk0_1,X0)|convergent_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),X0)|~spl0_0)),
% 0.19/0.50 inference(resolution,[status(thm)],[f68,f143])).
% 0.19/0.50 fof(f752,plain,(
% 0.19/0.50 distinct_lines(sk0_1,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))|~spl0_0),
% 0.19/0.50 inference(resolution,[status(thm)],[f470,f40])).
% 0.19/0.50 fof(f1399,plain,(
% 0.19/0.50 spl0_79 <=> convergent_lines(sk0_1,orthogonal_through_point(sk0_1,sk0_0))),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f1401,plain,(
% 0.19/0.50 ~convergent_lines(sk0_1,orthogonal_through_point(sk0_1,sk0_0))|spl0_79),
% 0.19/0.50 inference(component_clause,[status(thm)],[f1399])).
% 0.19/0.50 fof(f1402,plain,(
% 0.19/0.50 spl0_80 <=> pd0_0(X0,sk0_1)|unorthogonal_lines(orthogonal_through_point(sk0_1,sk0_0),X0)),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f1403,plain,(
% 0.19/0.50 ![X0]: (pd0_0(X0,sk0_1)|unorthogonal_lines(orthogonal_through_point(sk0_1,sk0_0),X0)|~spl0_80)),
% 0.19/0.50 inference(component_clause,[status(thm)],[f1402])).
% 0.19/0.50 fof(f1412,plain,(
% 0.19/0.50 $false|spl0_79),
% 0.19/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1401,f407])).
% 0.19/0.50 fof(f1413,plain,(
% 0.19/0.50 spl0_79),
% 0.19/0.50 inference(contradiction_clause,[status(thm)],[f1412])).
% 0.19/0.50 fof(f1414,plain,(
% 0.19/0.50 pd0_0(sk0_1,sk0_1)|~spl0_80),
% 0.19/0.50 inference(resolution,[status(thm)],[f1403,f83])).
% 0.19/0.50 fof(f1418,plain,(
% 0.19/0.50 convergent_lines(sk0_1,sk0_1)|~spl0_80),
% 0.19/0.50 inference(resolution,[status(thm)],[f1414,f131])).
% 0.19/0.50 fof(f1419,plain,(
% 0.19/0.50 $false|~spl0_80),
% 0.19/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1418,f40])).
% 0.19/0.50 fof(f1420,plain,(
% 0.19/0.50 ~spl0_80),
% 0.19/0.50 inference(contradiction_clause,[status(thm)],[f1419])).
% 0.19/0.50 fof(f1768,plain,(
% 0.19/0.50 spl0_86 <=> apart_point_and_line(X0,sk0_1)|apart_point_and_line(X0,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f1769,plain,(
% 0.19/0.50 ![X0]: (apart_point_and_line(X0,sk0_1)|apart_point_and_line(X0,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))|~spl0_86)),
% 0.19/0.50 inference(component_clause,[status(thm)],[f1768])).
% 0.19/0.50 fof(f1771,plain,(
% 0.19/0.50 spl0_87 <=> unorthogonal_lines(sk0_1,X1)|unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),X1)),
% 0.19/0.50 introduced(split_symbol_definition)).
% 0.19/0.50 fof(f1772,plain,(
% 0.19/0.50 ![X0]: (unorthogonal_lines(sk0_1,X0)|unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),X0)|~spl0_87)),
% 0.19/0.50 inference(component_clause,[status(thm)],[f1771])).
% 0.19/0.50 fof(f1774,plain,(
% 0.19/0.50 ![X0,X1]: (apart_point_and_line(X0,sk0_1)|apart_point_and_line(X0,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))|unorthogonal_lines(sk0_1,X1)|unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),X1)|~spl0_0)),
% 0.19/0.50 inference(resolution,[status(thm)],[f87,f752])).
% 0.19/0.50 fof(f1775,plain,(
% 0.19/0.50 spl0_86|spl0_87|~spl0_0),
% 0.19/0.50 inference(split_clause,[status(thm)],[f1774,f1768,f1771,f142])).
% 0.19/0.50 fof(f1877,plain,(
% 0.19/0.50 apart_point_and_line(sk0_0,sk0_1)|~spl0_86),
% 0.19/0.50 inference(resolution,[status(thm)],[f1769,f84])).
% 0.19/0.50 fof(f1880,plain,(
% 0.19/0.50 ![X0]: (distinct_lines(sk0_1,X0)|apart_point_and_line(sk0_0,X0)|~spl0_86)),
% 0.19/0.50 inference(resolution,[status(thm)],[f1877,f65])).
% 0.19/0.50 fof(f1884,plain,(
% 0.19/0.50 ![X0]: (distinct_lines(sk0_1,parallel_through_point(X0,sk0_0))|~spl0_86)),
% 0.19/0.50 inference(resolution,[status(thm)],[f1880,f72])).
% 0.19/0.50 fof(f1891,plain,(
% 0.19/0.50 ![X0]: (convergent_lines(sk0_1,parallel_through_point(X0,sk0_0))|~spl0_86)),
% 0.19/0.50 inference(resolution,[status(thm)],[f1884,f70])).
% 0.19/0.50 fof(f1898,plain,(
% 0.19/0.50 ![X0,X1]: (convergent_lines(sk0_1,X0)|convergent_lines(parallel_through_point(X1,sk0_0),X0)|~spl0_86)),
% 0.19/0.50 inference(resolution,[status(thm)],[f1891,f49])).
% 0.19/0.50 fof(f1934,plain,(
% 0.19/0.50 ![X0]: (convergent_lines(sk0_1,X0)|~spl0_86)),
% 0.19/0.50 inference(resolution,[status(thm)],[f1898,f71])).
% 0.19/0.50 fof(f2161,plain,(
% 0.19/0.50 $false|~spl0_86),
% 0.19/0.50 inference(resolution,[status(thm)],[f1934,f40])).
% 0.19/0.50 fof(f2162,plain,(
% 0.19/0.50 ~spl0_86),
% 0.19/0.50 inference(contradiction_clause,[status(thm)],[f2161])).
% 0.19/0.50 fof(f2179,plain,(
% 0.19/0.50 unorthogonal_lines(sk0_1,orthogonal_through_point(sk0_1,sk0_0))|~spl0_87),
% 0.19/0.50 inference(resolution,[status(thm)],[f1772,f83])).
% 0.19/0.50 fof(f2194,plain,(
% 0.19/0.50 ![X0]: (~convergent_lines(sk0_1,orthogonal_through_point(sk0_1,sk0_0))|pd0_0(X0,sk0_1)|unorthogonal_lines(orthogonal_through_point(sk0_1,sk0_0),X0)|~spl0_87)),
% 0.19/0.50 inference(resolution,[status(thm)],[f2179,f82])).
% 0.19/0.50 fof(f2195,plain,(
% 0.19/0.50 ~spl0_79|spl0_80|~spl0_87),
% 0.19/0.50 inference(split_clause,[status(thm)],[f2194,f1399,f1402,f1771])).
% 0.19/0.50 fof(f2198,plain,(
% 0.19/0.50 $false),
% 0.19/0.50 inference(sat_refutation,[status(thm)],[f225,f274,f1413,f1420,f1775,f2162,f2195])).
% 0.19/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.50 % Elapsed time: 0.155619 seconds
% 0.19/0.50 % CPU time: 1.131299 seconds
% 0.19/0.50 % Memory used: 19.787 MB
%------------------------------------------------------------------------------