TSTP Solution File: GEO222+3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n004.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 : Tue Apr 30 20:17:37 EDT 2024
% Result : Theorem 0.20s 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO222+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n004.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 Apr 30 01:30:19 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.20/0.49 % Refutation found
% 0.20/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.49 fof(f3,axiom,(
% 0.20/0.49 (! [X] : ~ convergent_lines(X,X) )),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f6,axiom,(
% 0.20/0.49 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( convergent_lines(X,Z)| convergent_lines(Y,Z) ) ) )),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f19,axiom,(
% 0.20/0.49 (! [L,M] :( convergent_lines(L,M)| unorthogonal_lines(L,M) ) )),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f20,axiom,(
% 0.20/0.49 (! [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) ) ) ) )),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f21,axiom,(
% 0.20/0.49 (! [A,L] : ~ unorthogonal_lines(orthogonal_through_point(L,A),L) )),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f25,axiom,(
% 0.20/0.49 (! [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) ) ) )),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f26,axiom,(
% 0.20/0.49 (! [L,M,N] :( ( ~ unorthogonal_lines(L,M)& ~ unorthogonal_lines(L,N) )=> ~ convergent_lines(M,N) ) )),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f33,axiom,(
% 0.20/0.49 (! [X,Y] :( parallel_lines(X,Y)<=> ~ convergent_lines(X,Y) ) )),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f36,conjecture,(
% 0.20/0.49 (! [A,L] : parallel_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)) )),
% 0.20/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.49 fof(f37,negated_conjecture,(
% 0.20/0.49 ~((! [A,L] : parallel_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)) ))),
% 0.20/0.49 inference(negated_conjecture,[status(cth)],[f36])).
% 0.20/0.49 fof(f40,plain,(
% 0.20/0.49 ![X0]: (~convergent_lines(X0,X0))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.49 fof(f47,plain,(
% 0.20/0.49 ![X,Y,Z]: (~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))),
% 0.20/0.49 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.20/0.49 fof(f48,plain,(
% 0.20/0.49 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (convergent_lines(X,Z)|convergent_lines(Y,Z))))),
% 0.20/0.49 inference(miniscoping,[status(esa)],[f47])).
% 0.20/0.49 fof(f49,plain,(
% 0.20/0.49 ![X0,X1,X2]: (~convergent_lines(X0,X1)|convergent_lines(X0,X2)|convergent_lines(X1,X2))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f48])).
% 0.20/0.49 fof(f76,plain,(
% 0.20/0.49 ![X0,X1]: (convergent_lines(X0,X1)|unorthogonal_lines(X0,X1))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f19])).
% 0.20/0.49 fof(f77,plain,(
% 0.20/0.49 ![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))))),
% 0.20/0.49 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.20/0.49 fof(f78,plain,(
% 0.20/0.49 ![L,N]: (pd0_0(N,L)=>(convergent_lines(L,N)&unorthogonal_lines(L,N)))),
% 0.20/0.49 introduced(predicate_definition,[f77])).
% 0.20/0.49 fof(f79,plain,(
% 0.20/0.49 ![L,M,N]: ((~convergent_lines(L,M)|~unorthogonal_lines(L,M))|(pd0_0(N,L)|(convergent_lines(M,N)&unorthogonal_lines(M,N))))),
% 0.20/0.49 inference(formula_renaming,[status(thm)],[f77,f78])).
% 0.20/0.49 fof(f80,plain,(
% 0.20/0.49 ![L,M]: ((~convergent_lines(L,M)|~unorthogonal_lines(L,M))|(![N]: (pd0_0(N,L)|(convergent_lines(M,N)&unorthogonal_lines(M,N)))))),
% 0.20/0.49 inference(miniscoping,[status(esa)],[f79])).
% 0.20/0.49 fof(f81,plain,(
% 0.20/0.49 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~unorthogonal_lines(X0,X1)|pd0_0(X2,X0)|convergent_lines(X1,X2))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f80])).
% 0.20/0.49 fof(f83,plain,(
% 0.20/0.49 ![X0,X1]: (~unorthogonal_lines(orthogonal_through_point(X0,X1),X0))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f21])).
% 0.20/0.49 fof(f90,plain,(
% 0.20/0.49 ![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)))),
% 0.20/0.49 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 0.20/0.49 fof(f91,plain,(
% 0.20/0.49 ![L,M]: (pd0_1(M,L)=>(convergent_lines(L,M)&unorthogonal_lines(L,M)))),
% 0.20/0.49 introduced(predicate_definition,[f90])).
% 0.20/0.49 fof(f92,plain,(
% 0.20/0.49 ![L,M,N]: ((pd0_1(M,L)|(convergent_lines(L,N)&unorthogonal_lines(L,N)))|(~convergent_lines(M,N)|~unorthogonal_lines(M,N)))),
% 0.20/0.49 inference(formula_renaming,[status(thm)],[f90,f91])).
% 0.20/0.49 fof(f93,plain,(
% 0.20/0.49 ![M,N]: ((![L]: (pd0_1(M,L)|(convergent_lines(L,N)&unorthogonal_lines(L,N))))|(~convergent_lines(M,N)|~unorthogonal_lines(M,N)))),
% 0.20/0.49 inference(miniscoping,[status(esa)],[f92])).
% 0.20/0.49 fof(f94,plain,(
% 0.20/0.49 ![X0,X1,X2]: (pd0_1(X0,X1)|convergent_lines(X1,X2)|~convergent_lines(X0,X2)|~unorthogonal_lines(X0,X2))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f93])).
% 0.20/0.49 fof(f96,plain,(
% 0.20/0.49 ![L,M,N]: ((unorthogonal_lines(L,M)|unorthogonal_lines(L,N))|~convergent_lines(M,N))),
% 0.20/0.49 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.20/0.49 fof(f97,plain,(
% 0.20/0.49 ![M,N]: ((![L]: (unorthogonal_lines(L,M)|unorthogonal_lines(L,N)))|~convergent_lines(M,N))),
% 0.20/0.49 inference(miniscoping,[status(esa)],[f96])).
% 0.20/0.49 fof(f98,plain,(
% 0.20/0.49 ![X0,X1,X2]: (unorthogonal_lines(X0,X1)|unorthogonal_lines(X0,X2)|~convergent_lines(X1,X2))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f97])).
% 0.20/0.49 fof(f115,plain,(
% 0.20/0.49 ![X,Y]: ((~parallel_lines(X,Y)|~convergent_lines(X,Y))&(parallel_lines(X,Y)|convergent_lines(X,Y)))),
% 0.20/0.49 inference(NNF_transformation,[status(esa)],[f33])).
% 0.20/0.49 fof(f116,plain,(
% 0.20/0.49 (![X,Y]: (~parallel_lines(X,Y)|~convergent_lines(X,Y)))&(![X,Y]: (parallel_lines(X,Y)|convergent_lines(X,Y)))),
% 0.20/0.49 inference(miniscoping,[status(esa)],[f115])).
% 0.20/0.49 fof(f118,plain,(
% 0.20/0.49 ![X0,X1]: (parallel_lines(X0,X1)|convergent_lines(X0,X1))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f116])).
% 0.20/0.49 fof(f127,plain,(
% 0.20/0.49 (?[A,L]: ~parallel_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)))),
% 0.20/0.49 inference(pre_NNF_transformation,[status(esa)],[f37])).
% 0.20/0.49 fof(f128,plain,(
% 0.20/0.49 ~parallel_lines(sk0_1,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))),
% 0.20/0.49 inference(skolemization,[status(esa)],[f127])).
% 0.20/0.49 fof(f129,plain,(
% 0.20/0.49 ~parallel_lines(sk0_1,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f128])).
% 0.20/0.49 fof(f130,plain,(
% 0.20/0.49 ![L,N]: (~pd0_0(N,L)|(convergent_lines(L,N)&unorthogonal_lines(L,N)))),
% 0.20/0.49 inference(pre_NNF_transformation,[status(esa)],[f78])).
% 0.20/0.49 fof(f132,plain,(
% 0.20/0.49 ![X0,X1]: (~pd0_0(X0,X1)|unorthogonal_lines(X1,X0))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f130])).
% 0.20/0.49 fof(f133,plain,(
% 0.20/0.49 ![L,M]: (~pd0_1(M,L)|(convergent_lines(L,M)&unorthogonal_lines(L,M)))),
% 0.20/0.49 inference(pre_NNF_transformation,[status(esa)],[f91])).
% 0.20/0.49 fof(f135,plain,(
% 0.20/0.49 ![X0,X1]: (~pd0_1(X0,X1)|unorthogonal_lines(X1,X0))),
% 0.20/0.49 inference(cnf_transformation,[status(esa)],[f133])).
% 0.20/0.49 fof(f136,plain,(
% 0.20/0.49 convergent_lines(sk0_1,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))),
% 0.20/0.49 inference(resolution,[status(thm)],[f118,f129])).
% 0.20/0.49 fof(f137,plain,(
% 0.20/0.49 ![X0,X1]: (convergent_lines(orthogonal_through_point(X0,X1),X0))),
% 0.20/0.49 inference(resolution,[status(thm)],[f76,f83])).
% 0.20/0.49 fof(f138,plain,(
% 0.20/0.49 ![X0,X1,X2]: (convergent_lines(orthogonal_through_point(X0,X1),X2)|convergent_lines(X0,X2))),
% 0.20/0.49 inference(resolution,[status(thm)],[f49,f137])).
% 0.20/0.49 fof(f143,plain,(
% 0.20/0.49 ![X0]: (unorthogonal_lines(X0,sk0_1)|unorthogonal_lines(X0,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0)))),
% 0.20/0.49 inference(resolution,[status(thm)],[f98,f136])).
% 0.20/0.49 fof(f262,plain,(
% 0.20/0.49 ![X0,X1]: (convergent_lines(X0,orthogonal_through_point(X0,X1)))),
% 0.20/0.49 inference(resolution,[status(thm)],[f138,f40])).
% 0.20/0.49 fof(f301,plain,(
% 0.20/0.49 ![X0,X1]: (~convergent_lines(X0,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))|pd0_0(X1,X0)|convergent_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),X1)|unorthogonal_lines(X0,sk0_1))),
% 0.20/0.49 inference(resolution,[status(thm)],[f81,f143])).
% 0.20/0.49 fof(f461,plain,(
% 0.20/0.49 spl0_14 <=> pd0_0(X0,orthogonal_through_point(sk0_1,sk0_0))|convergent_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),X0)),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f462,plain,(
% 0.20/0.49 ![X0]: (pd0_0(X0,orthogonal_through_point(sk0_1,sk0_0))|convergent_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),X0)|~spl0_14)),
% 0.20/0.49 inference(component_clause,[status(thm)],[f461])).
% 0.20/0.49 fof(f464,plain,(
% 0.20/0.49 spl0_15 <=> unorthogonal_lines(orthogonal_through_point(sk0_1,sk0_0),sk0_1)),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f465,plain,(
% 0.20/0.49 unorthogonal_lines(orthogonal_through_point(sk0_1,sk0_0),sk0_1)|~spl0_15),
% 0.20/0.49 inference(component_clause,[status(thm)],[f464])).
% 0.20/0.49 fof(f467,plain,(
% 0.20/0.49 ![X0]: (pd0_0(X0,orthogonal_through_point(sk0_1,sk0_0))|convergent_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),X0)|unorthogonal_lines(orthogonal_through_point(sk0_1,sk0_0),sk0_1))),
% 0.20/0.49 inference(resolution,[status(thm)],[f301,f262])).
% 0.20/0.49 fof(f468,plain,(
% 0.20/0.49 spl0_14|spl0_15),
% 0.20/0.49 inference(split_clause,[status(thm)],[f467,f461,f464])).
% 0.20/0.49 fof(f509,plain,(
% 0.20/0.49 pd0_0(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),orthogonal_through_point(sk0_1,sk0_0))|~spl0_14),
% 0.20/0.49 inference(resolution,[status(thm)],[f462,f40])).
% 0.20/0.49 fof(f510,plain,(
% 0.20/0.49 $false|~spl0_15),
% 0.20/0.49 inference(forward_subsumption_resolution,[status(thm)],[f465,f83])).
% 0.20/0.49 fof(f511,plain,(
% 0.20/0.49 ~spl0_15),
% 0.20/0.49 inference(contradiction_clause,[status(thm)],[f510])).
% 0.20/0.49 fof(f512,plain,(
% 0.20/0.49 unorthogonal_lines(orthogonal_through_point(sk0_1,sk0_0),orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))|~spl0_14),
% 0.20/0.49 inference(resolution,[status(thm)],[f509,f132])).
% 0.20/0.49 fof(f517,plain,(
% 0.20/0.49 spl0_24 <=> convergent_lines(orthogonal_through_point(sk0_1,sk0_0),orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f519,plain,(
% 0.20/0.49 ~convergent_lines(orthogonal_through_point(sk0_1,sk0_0),orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))|spl0_24),
% 0.20/0.49 inference(component_clause,[status(thm)],[f517])).
% 0.20/0.49 fof(f522,plain,(
% 0.20/0.49 spl0_25 <=> pd0_1(orthogonal_through_point(sk0_1,sk0_0),X0)|convergent_lines(X0,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))),
% 0.20/0.49 introduced(split_symbol_definition)).
% 0.20/0.49 fof(f523,plain,(
% 0.20/0.49 ![X0]: (pd0_1(orthogonal_through_point(sk0_1,sk0_0),X0)|convergent_lines(X0,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))|~spl0_25)),
% 0.20/0.49 inference(component_clause,[status(thm)],[f522])).
% 0.20/0.49 fof(f525,plain,(
% 0.20/0.49 ![X0]: (pd0_1(orthogonal_through_point(sk0_1,sk0_0),X0)|convergent_lines(X0,orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))|~convergent_lines(orthogonal_through_point(sk0_1,sk0_0),orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))|~spl0_14)),
% 0.20/0.49 inference(resolution,[status(thm)],[f512,f94])).
% 0.20/0.49 fof(f526,plain,(
% 0.20/0.49 spl0_25|~spl0_24|~spl0_14),
% 0.20/0.49 inference(split_clause,[status(thm)],[f525,f522,f517,f461])).
% 0.20/0.49 fof(f534,plain,(
% 0.20/0.49 $false|spl0_24),
% 0.20/0.49 inference(forward_subsumption_resolution,[status(thm)],[f519,f262])).
% 0.20/0.49 fof(f535,plain,(
% 0.20/0.49 spl0_24),
% 0.20/0.49 inference(contradiction_clause,[status(thm)],[f534])).
% 0.20/0.49 fof(f557,plain,(
% 0.20/0.49 pd0_1(orthogonal_through_point(sk0_1,sk0_0),orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0))|~spl0_25),
% 0.20/0.49 inference(resolution,[status(thm)],[f523,f40])).
% 0.20/0.49 fof(f572,plain,(
% 0.20/0.49 unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sk0_1,sk0_0),sk0_0),orthogonal_through_point(sk0_1,sk0_0))|~spl0_25),
% 0.20/0.49 inference(resolution,[status(thm)],[f557,f135])).
% 0.20/0.49 fof(f573,plain,(
% 0.20/0.49 $false|~spl0_25),
% 0.20/0.49 inference(forward_subsumption_resolution,[status(thm)],[f572,f83])).
% 0.20/0.49 fof(f574,plain,(
% 0.20/0.49 ~spl0_25),
% 0.20/0.49 inference(contradiction_clause,[status(thm)],[f573])).
% 0.20/0.49 fof(f575,plain,(
% 0.20/0.49 $false),
% 0.20/0.49 inference(sat_refutation,[status(thm)],[f468,f511,f526,f535,f574])).
% 0.20/0.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.49 % Elapsed time: 0.141831 seconds
% 0.20/0.49 % CPU time: 1.053749 seconds
% 0.20/0.49 % Total memory used: 27.443 MB
% 0.20/0.49 % Net memory used: 26.681 MB
%------------------------------------------------------------------------------