TSTP Solution File: GEO213+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO213+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:17:33 EDT 2024
% Result : Theorem 0.10s 0.34s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : GEO213+1 : TPTP v8.1.2. Released v3.3.0.
% 0.02/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n012.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue Apr 30 01:24:26 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.10/0.26 % Drodi V3.6.0
% 0.10/0.34 % Refutation found
% 0.10/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.34 fof(f2,axiom,(
% 0.10/0.34 (! [X] : ~ distinct_lines(X,X) )),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f3,axiom,(
% 0.10/0.34 (! [X] : ~ convergent_lines(X,X) )),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f5,axiom,(
% 0.10/0.34 (! [X,Y,Z] :( distinct_lines(X,Y)=> ( distinct_lines(X,Z)| distinct_lines(Y,Z) ) ) )),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f6,axiom,(
% 0.10/0.34 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( convergent_lines(X,Z)| convergent_lines(Y,Z) ) ) )),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f14,axiom,(
% 0.10/0.34 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( distinct_lines(Y,Z)| convergent_lines(X,Z) ) ) )),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f18,axiom,(
% 0.10/0.34 (! [L,M] :( convergent_lines(L,M)| unorthogonal_lines(L,M) ) )),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f19,axiom,(
% 0.10/0.34 (! [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) ) ) ) )),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f23,conjecture,(
% 0.10/0.34 (! [L,M,N] :( unorthogonal_lines(L,M)=> ( distinct_lines(L,N)| unorthogonal_lines(M,N) ) ) )),
% 0.10/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.34 fof(f24,negated_conjecture,(
% 0.10/0.34 ~((! [L,M,N] :( unorthogonal_lines(L,M)=> ( distinct_lines(L,N)| unorthogonal_lines(M,N) ) ) ))),
% 0.10/0.34 inference(negated_conjecture,[status(cth)],[f23])).
% 0.10/0.34 fof(f26,plain,(
% 0.10/0.34 ![X0]: (~distinct_lines(X0,X0))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f2])).
% 0.10/0.34 fof(f27,plain,(
% 0.10/0.34 ![X0]: (~convergent_lines(X0,X0))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f3])).
% 0.10/0.34 fof(f31,plain,(
% 0.10/0.34 ![X,Y,Z]: (~distinct_lines(X,Y)|(distinct_lines(X,Z)|distinct_lines(Y,Z)))),
% 0.10/0.34 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.10/0.34 fof(f32,plain,(
% 0.10/0.34 ![X,Y]: (~distinct_lines(X,Y)|(![Z]: (distinct_lines(X,Z)|distinct_lines(Y,Z))))),
% 0.10/0.34 inference(miniscoping,[status(esa)],[f31])).
% 0.10/0.34 fof(f33,plain,(
% 0.10/0.34 ![X0,X1,X2]: (~distinct_lines(X0,X1)|distinct_lines(X0,X2)|distinct_lines(X1,X2))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f32])).
% 0.10/0.34 fof(f34,plain,(
% 0.10/0.34 ![X,Y,Z]: (~convergent_lines(X,Y)|(convergent_lines(X,Z)|convergent_lines(Y,Z)))),
% 0.10/0.34 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.10/0.34 fof(f35,plain,(
% 0.10/0.34 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (convergent_lines(X,Z)|convergent_lines(Y,Z))))),
% 0.10/0.34 inference(miniscoping,[status(esa)],[f34])).
% 0.10/0.34 fof(f36,plain,(
% 0.10/0.34 ![X0,X1,X2]: (~convergent_lines(X0,X1)|convergent_lines(X0,X2)|convergent_lines(X1,X2))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f35])).
% 0.10/0.34 fof(f53,plain,(
% 0.10/0.34 ![X,Y,Z]: (~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))),
% 0.10/0.34 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.10/0.34 fof(f54,plain,(
% 0.10/0.34 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (distinct_lines(Y,Z)|convergent_lines(X,Z))))),
% 0.10/0.34 inference(miniscoping,[status(esa)],[f53])).
% 0.10/0.34 fof(f55,plain,(
% 0.10/0.34 ![X0,X1,X2]: (~convergent_lines(X0,X1)|distinct_lines(X1,X2)|convergent_lines(X0,X2))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f54])).
% 0.10/0.34 fof(f61,plain,(
% 0.10/0.34 ![X0,X1]: (convergent_lines(X0,X1)|unorthogonal_lines(X0,X1))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f18])).
% 0.10/0.34 fof(f62,plain,(
% 0.10/0.34 ![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))))),
% 0.10/0.34 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.10/0.34 fof(f63,plain,(
% 0.10/0.34 ![L,N]: (pd0_0(N,L)=>(convergent_lines(L,N)&unorthogonal_lines(L,N)))),
% 0.10/0.34 introduced(predicate_definition,[f62])).
% 0.10/0.34 fof(f64,plain,(
% 0.10/0.34 ![L,M,N]: ((~convergent_lines(L,M)|~unorthogonal_lines(L,M))|(pd0_0(N,L)|(convergent_lines(M,N)&unorthogonal_lines(M,N))))),
% 0.10/0.34 inference(formula_renaming,[status(thm)],[f62,f63])).
% 0.10/0.34 fof(f65,plain,(
% 0.10/0.34 ![L,M]: ((~convergent_lines(L,M)|~unorthogonal_lines(L,M))|(![N]: (pd0_0(N,L)|(convergent_lines(M,N)&unorthogonal_lines(M,N)))))),
% 0.10/0.34 inference(miniscoping,[status(esa)],[f64])).
% 0.10/0.34 fof(f66,plain,(
% 0.10/0.34 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~unorthogonal_lines(X0,X1)|pd0_0(X2,X0)|convergent_lines(X1,X2))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f65])).
% 0.10/0.34 fof(f67,plain,(
% 0.10/0.34 ![X0,X1,X2]: (~convergent_lines(X0,X1)|~unorthogonal_lines(X0,X1)|pd0_0(X2,X0)|unorthogonal_lines(X1,X2))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f65])).
% 0.10/0.34 fof(f73,plain,(
% 0.10/0.34 (?[L,M,N]: (unorthogonal_lines(L,M)&(~distinct_lines(L,N)&~unorthogonal_lines(M,N))))),
% 0.10/0.34 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.10/0.34 fof(f74,plain,(
% 0.10/0.34 ?[L,M]: (unorthogonal_lines(L,M)&(?[N]: (~distinct_lines(L,N)&~unorthogonal_lines(M,N))))),
% 0.10/0.34 inference(miniscoping,[status(esa)],[f73])).
% 0.10/0.34 fof(f75,plain,(
% 0.10/0.34 (unorthogonal_lines(sk0_0,sk0_1)&(~distinct_lines(sk0_0,sk0_2)&~unorthogonal_lines(sk0_1,sk0_2)))),
% 0.10/0.34 inference(skolemization,[status(esa)],[f74])).
% 0.10/0.34 fof(f76,plain,(
% 0.10/0.34 unorthogonal_lines(sk0_0,sk0_1)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f75])).
% 0.10/0.34 fof(f77,plain,(
% 0.10/0.34 ~distinct_lines(sk0_0,sk0_2)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f75])).
% 0.10/0.34 fof(f78,plain,(
% 0.10/0.34 ~unorthogonal_lines(sk0_1,sk0_2)),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f75])).
% 0.10/0.34 fof(f79,plain,(
% 0.10/0.34 ![L,N]: (~pd0_0(N,L)|(convergent_lines(L,N)&unorthogonal_lines(L,N)))),
% 0.10/0.34 inference(pre_NNF_transformation,[status(esa)],[f63])).
% 0.10/0.34 fof(f80,plain,(
% 0.10/0.34 ![X0,X1]: (~pd0_0(X0,X1)|convergent_lines(X1,X0))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f79])).
% 0.10/0.34 fof(f81,plain,(
% 0.10/0.34 ![X0,X1]: (~pd0_0(X0,X1)|unorthogonal_lines(X1,X0))),
% 0.10/0.34 inference(cnf_transformation,[status(esa)],[f79])).
% 0.10/0.34 fof(f82,plain,(
% 0.10/0.34 convergent_lines(sk0_1,sk0_2)),
% 0.10/0.34 inference(resolution,[status(thm)],[f61,f78])).
% 0.10/0.34 fof(f83,plain,(
% 0.10/0.34 ![X0]: (distinct_lines(sk0_2,X0)|convergent_lines(sk0_1,X0))),
% 0.10/0.34 inference(resolution,[status(thm)],[f55,f82])).
% 0.10/0.34 fof(f136,plain,(
% 0.10/0.34 ![X0,X1]: (convergent_lines(sk0_1,X0)|convergent_lines(X1,X0)|distinct_lines(sk0_2,X1))),
% 0.10/0.34 inference(resolution,[status(thm)],[f36,f83])).
% 0.10/0.34 fof(f234,plain,(
% 0.10/0.34 spl0_9 <=> convergent_lines(sk0_0,sk0_1)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f236,plain,(
% 0.10/0.34 ~convergent_lines(sk0_0,sk0_1)|spl0_9),
% 0.10/0.34 inference(component_clause,[status(thm)],[f234])).
% 0.10/0.34 fof(f295,plain,(
% 0.10/0.34 ![X0]: (convergent_lines(X0,sk0_1)|distinct_lines(sk0_2,X0))),
% 0.10/0.34 inference(resolution,[status(thm)],[f136,f27])).
% 0.10/0.34 fof(f344,plain,(
% 0.10/0.34 spl0_11 <=> pd0_0(X0,sk0_0)|convergent_lines(sk0_1,X0)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f345,plain,(
% 0.10/0.34 ![X0]: (pd0_0(X0,sk0_0)|convergent_lines(sk0_1,X0)|~spl0_11)),
% 0.10/0.34 inference(component_clause,[status(thm)],[f344])).
% 0.10/0.34 fof(f347,plain,(
% 0.10/0.34 ![X0]: (~convergent_lines(sk0_0,sk0_1)|pd0_0(X0,sk0_0)|convergent_lines(sk0_1,X0))),
% 0.10/0.34 inference(resolution,[status(thm)],[f66,f76])).
% 0.10/0.34 fof(f348,plain,(
% 0.10/0.34 ~spl0_9|spl0_11),
% 0.10/0.34 inference(split_clause,[status(thm)],[f347,f234,f344])).
% 0.10/0.34 fof(f443,plain,(
% 0.10/0.34 distinct_lines(sk0_2,sk0_0)|spl0_9),
% 0.10/0.34 inference(resolution,[status(thm)],[f236,f295])).
% 0.10/0.34 fof(f447,plain,(
% 0.10/0.34 spl0_17 <=> convergent_lines(sk0_1,sk0_1)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f448,plain,(
% 0.10/0.34 convergent_lines(sk0_1,sk0_1)|~spl0_17),
% 0.10/0.34 inference(component_clause,[status(thm)],[f447])).
% 0.10/0.34 fof(f484,plain,(
% 0.10/0.34 ![X0]: (distinct_lines(sk0_2,X0)|distinct_lines(sk0_0,X0)|spl0_9)),
% 0.10/0.34 inference(resolution,[status(thm)],[f443,f33])).
% 0.10/0.34 fof(f494,plain,(
% 0.10/0.34 distinct_lines(sk0_0,sk0_2)|spl0_9),
% 0.10/0.34 inference(resolution,[status(thm)],[f484,f26])).
% 0.10/0.34 fof(f495,plain,(
% 0.10/0.34 $false|spl0_9),
% 0.10/0.34 inference(forward_subsumption_resolution,[status(thm)],[f494,f77])).
% 0.10/0.34 fof(f496,plain,(
% 0.10/0.34 spl0_9),
% 0.10/0.34 inference(contradiction_clause,[status(thm)],[f495])).
% 0.10/0.34 fof(f497,plain,(
% 0.10/0.34 ![X0]: (convergent_lines(sk0_1,X0)|unorthogonal_lines(sk0_0,X0)|~spl0_11)),
% 0.10/0.34 inference(resolution,[status(thm)],[f345,f81])).
% 0.10/0.34 fof(f498,plain,(
% 0.10/0.34 ![X0]: (convergent_lines(sk0_1,X0)|convergent_lines(sk0_0,X0)|~spl0_11)),
% 0.10/0.34 inference(resolution,[status(thm)],[f345,f80])).
% 0.10/0.34 fof(f501,plain,(
% 0.10/0.34 ![X0,X1]: (convergent_lines(sk0_1,X0)|~convergent_lines(sk0_0,X0)|pd0_0(X1,sk0_0)|unorthogonal_lines(X0,X1)|~spl0_11)),
% 0.10/0.34 inference(resolution,[status(thm)],[f497,f67])).
% 0.10/0.34 fof(f539,plain,(
% 0.10/0.34 ![X0,X1]: (convergent_lines(sk0_1,X0)|pd0_0(X1,sk0_0)|unorthogonal_lines(X0,X1)|~spl0_11)),
% 0.10/0.34 inference(forward_subsumption_resolution,[status(thm)],[f501,f498])).
% 0.10/0.34 fof(f543,plain,(
% 0.10/0.34 spl0_28 <=> pd0_0(sk0_2,sk0_0)),
% 0.10/0.34 introduced(split_symbol_definition)).
% 0.10/0.34 fof(f544,plain,(
% 0.10/0.34 pd0_0(sk0_2,sk0_0)|~spl0_28),
% 0.10/0.34 inference(component_clause,[status(thm)],[f543])).
% 0.10/0.34 fof(f546,plain,(
% 0.10/0.34 convergent_lines(sk0_1,sk0_1)|pd0_0(sk0_2,sk0_0)|~spl0_11),
% 0.10/0.34 inference(resolution,[status(thm)],[f539,f78])).
% 0.10/0.34 fof(f547,plain,(
% 0.10/0.34 spl0_17|spl0_28|~spl0_11),
% 0.10/0.34 inference(split_clause,[status(thm)],[f546,f447,f543,f344])).
% 0.10/0.34 fof(f550,plain,(
% 0.10/0.34 $false|~spl0_17),
% 0.10/0.34 inference(forward_subsumption_resolution,[status(thm)],[f448,f27])).
% 0.10/0.34 fof(f551,plain,(
% 0.10/0.34 ~spl0_17),
% 0.10/0.34 inference(contradiction_clause,[status(thm)],[f550])).
% 0.10/0.34 fof(f552,plain,(
% 0.10/0.34 convergent_lines(sk0_0,sk0_2)|~spl0_28),
% 0.10/0.34 inference(resolution,[status(thm)],[f544,f80])).
% 0.10/0.34 fof(f585,plain,(
% 0.10/0.34 ![X0]: (distinct_lines(sk0_2,X0)|convergent_lines(sk0_0,X0)|~spl0_28)),
% 0.10/0.34 inference(resolution,[status(thm)],[f552,f55])).
% 0.10/0.34 fof(f587,plain,(
% 0.10/0.34 distinct_lines(sk0_2,sk0_0)|~spl0_28),
% 0.10/0.34 inference(resolution,[status(thm)],[f585,f27])).
% 0.10/0.34 fof(f594,plain,(
% 0.10/0.34 ![X0]: (distinct_lines(sk0_2,X0)|distinct_lines(sk0_0,X0)|~spl0_28)),
% 0.10/0.34 inference(resolution,[status(thm)],[f587,f33])).
% 0.10/0.34 fof(f599,plain,(
% 0.10/0.34 distinct_lines(sk0_0,sk0_2)|~spl0_28),
% 0.10/0.34 inference(resolution,[status(thm)],[f594,f26])).
% 0.10/0.34 fof(f600,plain,(
% 0.10/0.34 $false|~spl0_28),
% 0.10/0.34 inference(forward_subsumption_resolution,[status(thm)],[f599,f77])).
% 0.10/0.34 fof(f601,plain,(
% 0.10/0.34 ~spl0_28),
% 0.10/0.34 inference(contradiction_clause,[status(thm)],[f600])).
% 0.10/0.34 fof(f602,plain,(
% 0.10/0.34 $false),
% 0.10/0.34 inference(sat_refutation,[status(thm)],[f348,f496,f547,f551,f601])).
% 0.10/0.34 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.35 % Elapsed time: 0.082581 seconds
% 0.10/0.35 % CPU time: 0.607456 seconds
% 0.10/0.35 % Total memory used: 18.449 MB
% 0.10/0.35 % Net memory used: 17.140 MB
%------------------------------------------------------------------------------