TSTP Solution File: GEO259+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO259+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 20:17:47 EDT 2024
% Result : Theorem 0.12s 0.51s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GEO259+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.26 % Computer : n025.cluster.edu
% 0.08/0.26 % Model : x86_64 x86_64
% 0.08/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26 % Memory : 8042.1875MB
% 0.08/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26 % CPULimit : 300
% 0.08/0.26 % WCLimit : 300
% 0.08/0.26 % DateTime : Tue Apr 30 01:46:26 EDT 2024
% 0.08/0.26 % CPUTime :
% 0.12/0.27 % Drodi V3.6.0
% 0.12/0.51 % Refutation found
% 0.12/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.51 fof(f10,axiom,(
% 0.12/0.51 (! [L] : ~ unequally_directed_lines(L,L) )),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f11,axiom,(
% 0.12/0.51 (! [L,M,N] :( unequally_directed_lines(L,M)=> ( unequally_directed_lines(L,N)| unequally_directed_lines(M,N) ) ) )),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f13,axiom,(
% 0.12/0.51 (! [L,M] :( ( line(L)& line(M) )=> ( unequally_directed_lines(L,M)| unequally_directed_lines(L,reverse_line(M)) ) ) )),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f14,axiom,(
% 0.12/0.51 (! [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)) ) ) )),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f16,axiom,(
% 0.12/0.51 (! [L,M] :~ ( left_convergent_lines(L,M)| left_convergent_lines(L,reverse_line(M)) ) )),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f20,axiom,(
% 0.12/0.51 (! [L] :( line(L)=> line(reverse_line(L)) ) )),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f25,axiom,(
% 0.12/0.51 (! [A,B] : ~ unequally_directed_lines(line_connecting(A,B),reverse_line(line_connecting(B,A))) )),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f26,axiom,(
% 0.12/0.51 (! [A,L] : ~ unequally_directed_lines(parallel_through_point(L,A),L) )),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f32,conjecture,(
% 0.12/0.51 (! [L,A,B,C] :( ( line(L)& distinct_points(A,C)& distinct_points(B,C)& distinct_points(A,B) )=> ~ ( between_on_line(L,A,B,C)& between_on_line(L,B,A,C) ) ) )),
% 0.12/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.51 fof(f33,negated_conjecture,(
% 0.12/0.51 ~((! [L,A,B,C] :( ( line(L)& distinct_points(A,C)& distinct_points(B,C)& distinct_points(A,B) )=> ~ ( between_on_line(L,A,B,C)& between_on_line(L,B,A,C) ) ) ))),
% 0.12/0.51 inference(negated_conjecture,[status(cth)],[f32])).
% 0.12/0.51 fof(f78,plain,(
% 0.12/0.51 ![X0]: (~unequally_directed_lines(X0,X0))),
% 0.12/0.51 inference(cnf_transformation,[status(esa)],[f10])).
% 0.12/0.51 fof(f79,plain,(
% 0.12/0.51 ![L,M,N]: (~unequally_directed_lines(L,M)|(unequally_directed_lines(L,N)|unequally_directed_lines(M,N)))),
% 0.12/0.51 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.12/0.51 fof(f80,plain,(
% 0.12/0.51 ![L,M]: (~unequally_directed_lines(L,M)|(![N]: (unequally_directed_lines(L,N)|unequally_directed_lines(M,N))))),
% 0.12/0.51 inference(miniscoping,[status(esa)],[f79])).
% 0.12/0.51 fof(f81,plain,(
% 0.12/0.51 ![X0,X1,X2]: (~unequally_directed_lines(X0,X1)|unequally_directed_lines(X0,X2)|unequally_directed_lines(X1,X2))),
% 0.12/0.51 inference(cnf_transformation,[status(esa)],[f80])).
% 0.12/0.51 fof(f88,plain,(
% 0.12/0.51 ![L,M]: ((~line(L)|~line(M))|(unequally_directed_lines(L,M)|unequally_directed_lines(L,reverse_line(M))))),
% 0.12/0.51 inference(pre_NNF_transformation,[status(esa)],[f13])).
% 0.12/0.51 fof(f89,plain,(
% 0.12/0.51 ![X0,X1]: (~line(X0)|~line(X1)|unequally_directed_lines(X0,X1)|unequally_directed_lines(X0,reverse_line(X1)))),
% 0.12/0.51 inference(cnf_transformation,[status(esa)],[f88])).
% 0.12/0.51 fof(f90,plain,(
% 0.12/0.51 ![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))))),
% 0.12/0.51 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.12/0.51 fof(f91,plain,(
% 0.12/0.51 ![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)))),
% 0.12/0.51 inference(cnf_transformation,[status(esa)],[f90])).
% 0.12/0.51 fof(f96,plain,(
% 0.12/0.51 ![L,M]: (~left_convergent_lines(L,M)&~left_convergent_lines(L,reverse_line(M)))),
% 0.12/0.51 inference(pre_NNF_transformation,[status(esa)],[f16])).
% 0.12/0.51 fof(f97,plain,(
% 0.12/0.51 (![L,M]: ~left_convergent_lines(L,M))&(![L,M]: ~left_convergent_lines(L,reverse_line(M)))),
% 0.12/0.51 inference(miniscoping,[status(esa)],[f96])).
% 0.12/0.51 fof(f98,plain,(
% 0.12/0.51 ![X0,X1]: (~left_convergent_lines(X0,X1))),
% 0.12/0.51 inference(cnf_transformation,[status(esa)],[f97])).
% 0.12/0.51 fof(f106,plain,(
% 0.12/0.51 ![L]: (~line(L)|line(reverse_line(L)))),
% 0.12/0.51 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.12/0.51 fof(f107,plain,(
% 0.12/0.51 ![X0]: (~line(X0)|line(reverse_line(X0)))),
% 0.12/0.52 inference(cnf_transformation,[status(esa)],[f106])).
% 0.12/0.52 fof(f116,plain,(
% 0.12/0.52 ![X0,X1]: (~unequally_directed_lines(line_connecting(X0,X1),reverse_line(line_connecting(X1,X0))))),
% 0.12/0.52 inference(cnf_transformation,[status(esa)],[f25])).
% 0.12/0.52 fof(f117,plain,(
% 0.12/0.52 ![X0,X1]: (~unequally_directed_lines(parallel_through_point(X0,X1),X0))),
% 0.12/0.52 inference(cnf_transformation,[status(esa)],[f26])).
% 0.12/0.52 fof(f130,plain,(
% 0.12/0.52 (?[L,A,B,C]: ((((line(L)&distinct_points(A,C))&distinct_points(B,C))&distinct_points(A,B))&(between_on_line(L,A,B,C)&between_on_line(L,B,A,C))))),
% 0.12/0.52 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 0.12/0.52 fof(f131,plain,(
% 0.12/0.52 ((((line(sk0_0)&distinct_points(sk0_1,sk0_3))&distinct_points(sk0_2,sk0_3))&distinct_points(sk0_1,sk0_2))&(between_on_line(sk0_0,sk0_1,sk0_2,sk0_3)&between_on_line(sk0_0,sk0_2,sk0_1,sk0_3)))),
% 0.12/0.52 inference(skolemization,[status(esa)],[f130])).
% 0.12/0.52 fof(f132,plain,(
% 0.12/0.52 line(sk0_0)),
% 0.12/0.52 inference(cnf_transformation,[status(esa)],[f131])).
% 0.12/0.52 fof(f651,plain,(
% 0.12/0.52 ![X0]: (~line(reverse_line(X0))|~line(X0)|unequally_directed_lines(reverse_line(X0),X0))),
% 0.12/0.52 inference(resolution,[status(thm)],[f78,f89])).
% 0.12/0.52 fof(f652,plain,(
% 0.12/0.52 ![X0]: (~line(X0)|unequally_directed_lines(reverse_line(X0),X0))),
% 0.12/0.52 inference(forward_subsumption_resolution,[status(thm)],[f651,f107])).
% 0.12/0.52 fof(f655,plain,(
% 0.12/0.52 ![X0,X1]: (unequally_directed_lines(reverse_line(X0),X1)|unequally_directed_lines(X0,X1)|~line(X0))),
% 0.12/0.52 inference(resolution,[status(thm)],[f81,f652])).
% 0.12/0.52 fof(f661,plain,(
% 0.12/0.52 ![X0]: (unequally_directed_lines(reverse_line(sk0_0),X0)|unequally_directed_lines(sk0_0,X0))),
% 0.12/0.52 inference(resolution,[status(thm)],[f655,f132])).
% 0.12/0.52 fof(f663,plain,(
% 0.12/0.52 ![X0,X1]: (unequally_directed_lines(sk0_0,X0)|unequally_directed_lines(reverse_line(sk0_0),X1)|unequally_directed_lines(X0,X1))),
% 0.12/0.52 inference(resolution,[status(thm)],[f661,f81])).
% 0.12/0.52 fof(f670,plain,(
% 0.12/0.52 spl0_23 <=> unequally_directed_lines(sk0_0,sk0_0)),
% 0.12/0.52 introduced(split_symbol_definition)).
% 0.12/0.52 fof(f671,plain,(
% 0.12/0.52 unequally_directed_lines(sk0_0,sk0_0)|~spl0_23),
% 0.12/0.52 inference(component_clause,[status(thm)],[f670])).
% 0.12/0.52 fof(f695,plain,(
% 0.12/0.52 spl0_25 <=> unequally_directed_lines(sk0_0,X0)|unequally_directed_lines(sk0_0,X0)),
% 0.12/0.52 introduced(split_symbol_definition)).
% 0.12/0.52 fof(f696,plain,(
% 0.12/0.52 ![X0]: (unequally_directed_lines(sk0_0,X0)|unequally_directed_lines(sk0_0,X0)|~spl0_25)),
% 0.12/0.52 inference(component_clause,[status(thm)],[f695])).
% 0.12/0.52 fof(f725,plain,(
% 0.12/0.52 ![X0]: (unequally_directed_lines(sk0_0,X0)|unequally_directed_lines(X0,reverse_line(sk0_0)))),
% 0.12/0.52 inference(resolution,[status(thm)],[f663,f78])).
% 0.12/0.52 fof(f733,plain,(
% 0.12/0.52 ![X0]: (unequally_directed_lines(sk0_0,parallel_through_point(reverse_line(sk0_0),X0)))),
% 0.12/0.52 inference(resolution,[status(thm)],[f725,f117])).
% 0.12/0.52 fof(f737,plain,(
% 0.12/0.52 ![X0,X1]: (unequally_directed_lines(sk0_0,X0)|unequally_directed_lines(parallel_through_point(reverse_line(sk0_0),X1),X0))),
% 0.12/0.52 inference(resolution,[status(thm)],[f733,f81])).
% 0.12/0.52 fof(f878,plain,(
% 0.12/0.52 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1))|left_convergent_lines(X0,reverse_line(X1)))),
% 0.12/0.52 inference(forward_subsumption_resolution,[status(thm)],[f91,f98])).
% 0.12/0.52 fof(f879,plain,(
% 0.12/0.52 ![X0,X1]: (~unequally_directed_lines(X0,X1)|~unequally_directed_lines(X0,reverse_line(X1)))),
% 0.12/0.52 inference(resolution,[status(thm)],[f878,f98])).
% 0.12/0.52 fof(f915,plain,(
% 0.12/0.52 $false|~spl0_23),
% 0.12/0.52 inference(forward_subsumption_resolution,[status(thm)],[f671,f78])).
% 0.12/0.52 fof(f916,plain,(
% 0.12/0.52 ~spl0_23),
% 0.12/0.52 inference(contradiction_clause,[status(thm)],[f915])).
% 0.12/0.52 fof(f1533,plain,(
% 0.12/0.52 ![X0]: (unequally_directed_lines(sk0_0,X0)|~spl0_25)),
% 0.12/0.52 inference(duplicate_literals_removal,[status(esa)],[f696])).
% 0.12/0.52 fof(f1542,plain,(
% 0.12/0.52 $false|~spl0_25),
% 0.12/0.52 inference(resolution,[status(thm)],[f1533,f78])).
% 0.12/0.52 fof(f1543,plain,(
% 0.12/0.52 ~spl0_25),
% 0.12/0.52 inference(contradiction_clause,[status(thm)],[f1542])).
% 0.12/0.52 fof(f1585,plain,(
% 0.12/0.52 spl0_48 <=> line(sk0_0)),
% 0.12/0.52 introduced(split_symbol_definition)).
% 0.12/0.52 fof(f1587,plain,(
% 0.12/0.52 ~line(sk0_0)|spl0_48),
% 0.12/0.52 inference(component_clause,[status(thm)],[f1585])).
% 0.12/0.52 fof(f1601,plain,(
% 0.12/0.52 ![X0,X1]: (unequally_directed_lines(sk0_0,reverse_line(X0))|~unequally_directed_lines(parallel_through_point(reverse_line(sk0_0),X1),X0))),
% 0.12/0.52 inference(resolution,[status(thm)],[f737,f879])).
% 0.12/0.52 fof(f1613,plain,(
% 0.12/0.52 $false|spl0_48),
% 0.12/0.52 inference(forward_subsumption_resolution,[status(thm)],[f1587,f132])).
% 0.12/0.52 fof(f1614,plain,(
% 0.12/0.52 spl0_48),
% 0.12/0.52 inference(contradiction_clause,[status(thm)],[f1613])).
% 0.12/0.52 fof(f1656,plain,(
% 0.12/0.52 ![X0,X1]: (unequally_directed_lines(sk0_0,X0)|unequally_directed_lines(reverse_line(sk0_0),reverse_line(X1))|~unequally_directed_lines(X0,X1))),
% 0.12/0.52 inference(resolution,[status(thm)],[f663,f879])).
% 0.12/0.52 fof(f1661,plain,(
% 0.12/0.52 ![X0]: (unequally_directed_lines(sk0_0,reverse_line(X0))|unequally_directed_lines(sk0_0,X0))),
% 0.12/0.52 inference(resolution,[status(thm)],[f1601,f737])).
% 0.12/0.52 fof(f1834,plain,(
% 0.12/0.52 spl0_77 <=> unequally_directed_lines(reverse_line(sk0_0),reverse_line(reverse_line(X0)))|unequally_directed_lines(sk0_0,X0)),
% 0.12/0.52 introduced(split_symbol_definition)).
% 0.12/0.52 fof(f1835,plain,(
% 0.12/0.52 ![X0]: (unequally_directed_lines(reverse_line(sk0_0),reverse_line(reverse_line(X0)))|unequally_directed_lines(sk0_0,X0)|~spl0_77)),
% 0.12/0.52 inference(component_clause,[status(thm)],[f1834])).
% 0.12/0.52 fof(f1837,plain,(
% 0.12/0.52 ![X0]: (unequally_directed_lines(sk0_0,sk0_0)|unequally_directed_lines(reverse_line(sk0_0),reverse_line(reverse_line(X0)))|unequally_directed_lines(sk0_0,X0))),
% 0.12/0.52 inference(resolution,[status(thm)],[f1656,f1661])).
% 0.12/0.52 fof(f1838,plain,(
% 0.12/0.52 spl0_23|spl0_77),
% 0.12/0.52 inference(split_clause,[status(thm)],[f1837,f670,f1834])).
% 0.12/0.52 fof(f1953,plain,(
% 0.12/0.52 ![X0]: (unequally_directed_lines(sk0_0,X0)|~unequally_directed_lines(reverse_line(sk0_0),reverse_line(X0))|~spl0_77)),
% 0.12/0.52 inference(resolution,[status(thm)],[f1835,f879])).
% 0.12/0.52 fof(f1970,plain,(
% 0.12/0.52 ![X0,X1]: (unequally_directed_lines(sk0_0,X0)|unequally_directed_lines(sk0_0,X1)|unequally_directed_lines(X1,reverse_line(X0))|~spl0_77)),
% 0.12/0.52 inference(resolution,[status(thm)],[f1953,f663])).
% 0.12/0.52 fof(f2030,plain,(
% 0.12/0.52 ![X0,X1]: (unequally_directed_lines(sk0_0,line_connecting(X0,X1))|unequally_directed_lines(sk0_0,line_connecting(X1,X0))|~spl0_77)),
% 0.12/0.52 inference(resolution,[status(thm)],[f1970,f116])).
% 0.12/0.52 fof(f2037,plain,(
% 0.12/0.52 ![X0,X1]: (unequally_directed_lines(sk0_0,X0)|unequally_directed_lines(sk0_0,X1)|~unequally_directed_lines(X1,X0)|~spl0_77)),
% 0.12/0.52 inference(resolution,[status(thm)],[f1970,f879])).
% 0.12/0.52 fof(f2165,plain,(
% 0.12/0.52 spl0_114 <=> unequally_directed_lines(sk0_0,line_connecting(X0,X0))),
% 0.12/0.52 introduced(split_symbol_definition)).
% 0.12/0.52 fof(f2166,plain,(
% 0.12/0.52 ![X0]: (unequally_directed_lines(sk0_0,line_connecting(X0,X0))|~spl0_114)),
% 0.12/0.52 inference(component_clause,[status(thm)],[f2165])).
% 0.12/0.52 fof(f2168,plain,(
% 0.12/0.52 ![X0]: (unequally_directed_lines(sk0_0,line_connecting(X0,X0))|unequally_directed_lines(sk0_0,sk0_0)|~spl0_77)),
% 0.12/0.52 inference(resolution,[status(thm)],[f2030,f2037])).
% 0.12/0.52 fof(f2169,plain,(
% 0.12/0.52 spl0_114|spl0_23|~spl0_77),
% 0.12/0.52 inference(split_clause,[status(thm)],[f2168,f2165,f670,f1834])).
% 0.12/0.52 fof(f2185,plain,(
% 0.12/0.52 ![X0,X1]: (unequally_directed_lines(sk0_0,X0)|unequally_directed_lines(line_connecting(X1,X1),X0)|~spl0_77)),
% 0.12/0.52 inference(resolution,[status(thm)],[f2030,f81])).
% 0.12/0.52 fof(f2205,plain,(
% 0.12/0.52 ![X0]: (unequally_directed_lines(sk0_0,reverse_line(line_connecting(X0,X0)))|~spl0_77)),
% 0.12/0.52 inference(resolution,[status(thm)],[f2185,f116])).
% 0.12/0.52 fof(f2214,plain,(
% 0.12/0.52 ![X0]: (~unequally_directed_lines(sk0_0,line_connecting(X0,X0))|~spl0_77)),
% 0.12/0.52 inference(resolution,[status(thm)],[f2205,f879])).
% 0.12/0.52 fof(f2215,plain,(
% 0.12/0.52 $false|~spl0_114|~spl0_77),
% 0.12/0.52 inference(forward_subsumption_resolution,[status(thm)],[f2214,f2166])).
% 0.12/0.52 fof(f2216,plain,(
% 0.12/0.52 ~spl0_114|~spl0_77),
% 0.12/0.52 inference(contradiction_clause,[status(thm)],[f2215])).
% 0.12/0.52 fof(f2217,plain,(
% 0.12/0.52 $false),
% 0.12/0.52 inference(sat_refutation,[status(thm)],[f916,f1543,f1614,f1838,f2169,f2216])).
% 0.12/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.52 % Elapsed time: 0.255544 seconds
% 0.12/0.52 % CPU time: 1.976577 seconds
% 0.12/0.52 % Total memory used: 34.441 MB
% 0.12/0.52 % Net memory used: 32.470 MB
%------------------------------------------------------------------------------