TSTP Solution File: GEO182+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO182+2 : TPTP v8.1.2. Released v3.3.0.
% 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 : Tue Apr 30 20:17:21 EDT 2024
% Result : Theorem 0.16s 0.50s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO182+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n018.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Apr 30 01:44:28 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.6.0
% 0.16/0.50 % Refutation found
% 0.16/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.50 fof(f1,axiom,(
% 0.16/0.50 (! [X] : ~ distinct_points(X,X) )),
% 0.16/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.50 fof(f4,axiom,(
% 0.16/0.50 (! [X,Y,Z] :( distinct_points(X,Y)=> ( distinct_points(X,Z)| distinct_points(Y,Z) ) ) )),
% 0.16/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.50 fof(f7,axiom,(
% 0.16/0.50 (! [X,Y,Z] :( distinct_points(X,Y)=> ( apart_point_and_line(Z,line_connecting(X,Y))=> ( distinct_points(Z,X)& distinct_points(Z,Y) ) ) ) )),
% 0.16/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.50 fof(f9,axiom,(
% 0.16/0.50 (! [X,Y,U,V] :( ( distinct_points(X,Y)& distinct_lines(U,V) )=> ( apart_point_and_line(X,U)| apart_point_and_line(X,V)| apart_point_and_line(Y,U)| apart_point_and_line(Y,V) ) ) )),
% 0.16/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.50 fof(f11,axiom,(
% 0.16/0.50 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_lines(Y,Z)| apart_point_and_line(X,Z) ) ) )),
% 0.16/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.50 fof(f13,conjecture,(
% 0.16/0.50 (! [X,Y,Z] :( distinct_points(X,Y)=> ( apart_point_and_line(Z,line_connecting(X,Y))=> apart_point_and_line(Z,line_connecting(Y,X)) ) ) )),
% 0.16/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.50 fof(f14,negated_conjecture,(
% 0.16/0.50 ~((! [X,Y,Z] :( distinct_points(X,Y)=> ( apart_point_and_line(Z,line_connecting(X,Y))=> apart_point_and_line(Z,line_connecting(Y,X)) ) ) ))),
% 0.16/0.50 inference(negated_conjecture,[status(cth)],[f13])).
% 0.16/0.50 fof(f15,plain,(
% 0.16/0.50 ![X0]: (~distinct_points(X0,X0))),
% 0.16/0.50 inference(cnf_transformation,[status(esa)],[f1])).
% 0.16/0.50 fof(f18,plain,(
% 0.16/0.50 ![X,Y,Z]: (~distinct_points(X,Y)|(distinct_points(X,Z)|distinct_points(Y,Z)))),
% 0.16/0.50 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.16/0.50 fof(f19,plain,(
% 0.16/0.50 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (distinct_points(X,Z)|distinct_points(Y,Z))))),
% 0.16/0.50 inference(miniscoping,[status(esa)],[f18])).
% 0.16/0.50 fof(f20,plain,(
% 0.16/0.50 ![X0,X1,X2]: (~distinct_points(X0,X1)|distinct_points(X0,X2)|distinct_points(X1,X2))),
% 0.16/0.50 inference(cnf_transformation,[status(esa)],[f19])).
% 0.16/0.50 fof(f27,plain,(
% 0.16/0.50 ![X,Y,Z]: (~distinct_points(X,Y)|(~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y))))),
% 0.16/0.50 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.16/0.50 fof(f28,plain,(
% 0.16/0.50 ![X,Y]: (~distinct_points(X,Y)|(![Z]: (~apart_point_and_line(Z,line_connecting(X,Y))|(distinct_points(Z,X)&distinct_points(Z,Y)))))),
% 0.16/0.50 inference(miniscoping,[status(esa)],[f27])).
% 0.16/0.50 fof(f29,plain,(
% 0.16/0.50 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X0))),
% 0.16/0.50 inference(cnf_transformation,[status(esa)],[f28])).
% 0.16/0.50 fof(f30,plain,(
% 0.16/0.50 ![X0,X1,X2]: (~distinct_points(X0,X1)|~apart_point_and_line(X2,line_connecting(X0,X1))|distinct_points(X2,X1))),
% 0.16/0.50 inference(cnf_transformation,[status(esa)],[f28])).
% 0.16/0.50 fof(f35,plain,(
% 0.16/0.50 ![X,Y,U,V]: ((~distinct_points(X,Y)|~distinct_lines(U,V))|(((apart_point_and_line(X,U)|apart_point_and_line(X,V))|apart_point_and_line(Y,U))|apart_point_and_line(Y,V)))),
% 0.16/0.50 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.16/0.50 fof(f36,plain,(
% 0.16/0.50 ![X0,X1,X2,X3]: (~distinct_points(X0,X1)|~distinct_lines(X2,X3)|apart_point_and_line(X0,X2)|apart_point_and_line(X0,X3)|apart_point_and_line(X1,X2)|apart_point_and_line(X1,X3))),
% 0.16/0.50 inference(cnf_transformation,[status(esa)],[f35])).
% 0.16/0.50 fof(f40,plain,(
% 0.16/0.50 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_lines(Y,Z)|apart_point_and_line(X,Z)))),
% 0.16/0.50 inference(pre_NNF_transformation,[status(esa)],[f11])).
% 0.16/0.50 fof(f41,plain,(
% 0.16/0.50 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_lines(Y,Z)|apart_point_and_line(X,Z))))),
% 0.16/0.50 inference(miniscoping,[status(esa)],[f40])).
% 0.16/0.50 fof(f42,plain,(
% 0.16/0.50 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_lines(X1,X2)|apart_point_and_line(X0,X2))),
% 0.16/0.50 inference(cnf_transformation,[status(esa)],[f41])).
% 0.16/0.50 fof(f45,plain,(
% 0.16/0.50 (?[X,Y,Z]: (distinct_points(X,Y)&(apart_point_and_line(Z,line_connecting(X,Y))&~apart_point_and_line(Z,line_connecting(Y,X)))))),
% 0.16/0.50 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.16/0.50 fof(f46,plain,(
% 0.16/0.50 ?[X,Y]: (distinct_points(X,Y)&(?[Z]: (apart_point_and_line(Z,line_connecting(X,Y))&~apart_point_and_line(Z,line_connecting(Y,X)))))),
% 0.16/0.50 inference(miniscoping,[status(esa)],[f45])).
% 0.16/0.50 fof(f47,plain,(
% 0.16/0.50 (distinct_points(sk0_0,sk0_1)&(apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))&~apart_point_and_line(sk0_2,line_connecting(sk0_1,sk0_0))))),
% 0.16/0.50 inference(skolemization,[status(esa)],[f46])).
% 0.16/0.50 fof(f48,plain,(
% 0.16/0.50 distinct_points(sk0_0,sk0_1)),
% 0.16/0.50 inference(cnf_transformation,[status(esa)],[f47])).
% 0.16/0.50 fof(f49,plain,(
% 0.16/0.50 apart_point_and_line(sk0_2,line_connecting(sk0_0,sk0_1))),
% 0.16/0.50 inference(cnf_transformation,[status(esa)],[f47])).
% 0.16/0.50 fof(f50,plain,(
% 0.16/0.50 ~apart_point_and_line(sk0_2,line_connecting(sk0_1,sk0_0))),
% 0.16/0.50 inference(cnf_transformation,[status(esa)],[f47])).
% 0.16/0.50 fof(f51,plain,(
% 0.16/0.50 ![X0]: (distinct_points(sk0_0,X0)|distinct_points(sk0_1,X0))),
% 0.16/0.50 inference(resolution,[status(thm)],[f20,f48])).
% 0.16/0.50 fof(f52,plain,(
% 0.16/0.50 ![X0,X1]: (distinct_points(sk0_0,X0)|distinct_points(sk0_1,X1)|distinct_points(X0,X1))),
% 0.16/0.50 inference(resolution,[status(thm)],[f51,f20])).
% 0.16/0.50 fof(f62,plain,(
% 0.16/0.50 ![X0,X1,X2]: (distinct_points(sk0_1,X0)|distinct_points(X1,X0)|distinct_points(sk0_0,X2)|distinct_points(X1,X2))),
% 0.16/0.50 inference(resolution,[status(thm)],[f52,f20])).
% 0.16/0.50 fof(f87,plain,(
% 0.16/0.50 spl0_4 <=> distinct_points(sk0_0,X0)|distinct_points(X1,X0)),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f88,plain,(
% 0.16/0.50 ![X0,X1]: (distinct_points(sk0_0,X0)|distinct_points(X1,X0)|~spl0_4)),
% 0.16/0.50 inference(component_clause,[status(thm)],[f87])).
% 0.16/0.50 fof(f137,plain,(
% 0.16/0.50 spl0_6 <=> distinct_points(sk0_1,X0)|distinct_points(sk0_0,X0)),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f138,plain,(
% 0.16/0.50 ![X0]: (distinct_points(sk0_1,X0)|distinct_points(sk0_0,X0)|~spl0_6)),
% 0.16/0.50 inference(component_clause,[status(thm)],[f137])).
% 0.16/0.50 fof(f140,plain,(
% 0.16/0.50 ![X0,X1,X2]: (distinct_points(sk0_1,X0)|distinct_points(sk0_0,X0)|distinct_points(sk0_0,X1)|distinct_points(X2,X1))),
% 0.16/0.50 inference(resolution,[status(thm)],[f62,f20])).
% 0.16/0.50 fof(f141,plain,(
% 0.16/0.50 spl0_6|spl0_4),
% 0.16/0.50 inference(split_clause,[status(thm)],[f140,f137,f87])).
% 0.16/0.50 fof(f301,plain,(
% 0.16/0.50 ![X0]: (distinct_lines(line_connecting(sk0_0,sk0_1),X0)|apart_point_and_line(sk0_2,X0))),
% 0.16/0.50 inference(resolution,[status(thm)],[f42,f49])).
% 0.16/0.50 fof(f401,plain,(
% 0.16/0.50 spl0_18 <=> ~distinct_lines(X0,X1)|apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_0,X1)|apart_point_and_line(sk0_1,X0)|apart_point_and_line(sk0_1,X1)),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f402,plain,(
% 0.16/0.50 ![X0,X1]: (~distinct_lines(X0,X1)|apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_0,X1)|apart_point_and_line(sk0_1,X0)|apart_point_and_line(sk0_1,X1)|~spl0_18)),
% 0.16/0.50 inference(component_clause,[status(thm)],[f401])).
% 0.16/0.50 fof(f442,plain,(
% 0.16/0.50 $false|~spl0_4),
% 0.16/0.50 inference(resolution,[status(thm)],[f88,f15])).
% 0.16/0.50 fof(f443,plain,(
% 0.16/0.50 ~spl0_4),
% 0.16/0.50 inference(contradiction_clause,[status(thm)],[f442])).
% 0.16/0.50 fof(f456,plain,(
% 0.16/0.50 ![X0,X1]: (distinct_points(sk0_0,X0)|~apart_point_and_line(X1,line_connecting(sk0_1,X0))|distinct_points(X1,sk0_1)|~spl0_6)),
% 0.16/0.50 inference(resolution,[status(thm)],[f138,f29])).
% 0.16/0.50 fof(f457,plain,(
% 0.16/0.50 ![X0,X1]: (distinct_points(sk0_0,X0)|distinct_points(sk0_1,X1)|distinct_points(X0,X1)|~spl0_6)),
% 0.16/0.50 inference(resolution,[status(thm)],[f138,f20])).
% 0.16/0.50 fof(f470,plain,(
% 0.16/0.50 ![X0,X1,X2]: (distinct_points(sk0_1,X0)|distinct_points(X1,X0)|distinct_points(sk0_0,X2)|distinct_points(X1,X2)|~spl0_6)),
% 0.16/0.50 inference(resolution,[status(thm)],[f457,f20])).
% 0.16/0.50 fof(f501,plain,(
% 0.16/0.50 ![X0,X1]: (distinct_points(X0,sk0_1)|distinct_points(sk0_0,X1)|distinct_points(X0,X1)|~spl0_6)),
% 0.16/0.50 inference(resolution,[status(thm)],[f470,f15])).
% 0.16/0.50 fof(f506,plain,(
% 0.16/0.50 ![X0,X1]: (distinct_points(sk0_1,X0)|~apart_point_and_line(X1,line_connecting(sk0_0,X0))|distinct_points(X1,sk0_0)|~spl0_6)),
% 0.16/0.50 inference(resolution,[status(thm)],[f470,f29])).
% 0.16/0.50 fof(f525,plain,(
% 0.16/0.50 ![X0,X1]: (distinct_points(sk0_1,X0)|distinct_points(X1,X0)|distinct_points(X1,sk0_0)|~spl0_6)),
% 0.16/0.50 inference(resolution,[status(thm)],[f470,f15])).
% 0.16/0.50 fof(f533,plain,(
% 0.16/0.50 ![X0]: (~apart_point_and_line(X0,line_connecting(sk0_0,sk0_1))|distinct_points(X0,sk0_1)|~spl0_6)),
% 0.16/0.50 inference(resolution,[status(thm)],[f501,f30])).
% 0.16/0.50 fof(f552,plain,(
% 0.16/0.50 ![X0,X1,X2]: (distinct_points(X0,sk0_1)|distinct_points(X0,X1)|distinct_points(sk0_0,X2)|distinct_points(X1,X2)|~spl0_6)),
% 0.16/0.50 inference(resolution,[status(thm)],[f501,f20])).
% 0.16/0.50 fof(f595,plain,(
% 0.16/0.50 ![X0]: (~apart_point_and_line(X0,line_connecting(sk0_1,sk0_0))|distinct_points(X0,sk0_0)|~spl0_6)),
% 0.16/0.50 inference(resolution,[status(thm)],[f525,f30])).
% 0.16/0.50 fof(f845,plain,(
% 0.16/0.50 spl0_29 <=> apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f846,plain,(
% 0.16/0.50 apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|~spl0_29),
% 0.16/0.50 inference(component_clause,[status(thm)],[f845])).
% 0.16/0.50 fof(f974,plain,(
% 0.16/0.50 distinct_points(sk0_1,sk0_1)|~spl0_29|~spl0_6),
% 0.16/0.50 inference(resolution,[status(thm)],[f846,f533])).
% 0.16/0.50 fof(f975,plain,(
% 0.16/0.50 $false|~spl0_29|~spl0_6),
% 0.16/0.50 inference(forward_subsumption_resolution,[status(thm)],[f974,f15])).
% 0.16/0.50 fof(f976,plain,(
% 0.16/0.50 ~spl0_29|~spl0_6),
% 0.16/0.50 inference(contradiction_clause,[status(thm)],[f975])).
% 0.16/0.50 fof(f1082,plain,(
% 0.16/0.50 spl0_36 <=> distinct_points(sk0_1,sk0_1)),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1083,plain,(
% 0.16/0.50 distinct_points(sk0_1,sk0_1)|~spl0_36),
% 0.16/0.50 inference(component_clause,[status(thm)],[f1082])).
% 0.16/0.50 fof(f1092,plain,(
% 0.16/0.50 $false|~spl0_36),
% 0.16/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1083,f15])).
% 0.16/0.50 fof(f1093,plain,(
% 0.16/0.50 ~spl0_36),
% 0.16/0.50 inference(contradiction_clause,[status(thm)],[f1092])).
% 0.16/0.50 fof(f1192,plain,(
% 0.16/0.50 ![X0,X1]: (distinct_points(sk0_1,sk0_1)|~distinct_lines(X0,X1)|apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_0,X1)|apart_point_and_line(sk0_1,X0)|apart_point_and_line(sk0_1,X1)|~spl0_6)),
% 0.16/0.50 inference(resolution,[status(thm)],[f552,f36])).
% 0.16/0.50 fof(f1193,plain,(
% 0.16/0.50 spl0_36|spl0_18|~spl0_6),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1192,f1082,f401,f137])).
% 0.16/0.50 fof(f1380,plain,(
% 0.16/0.50 spl0_44 <=> apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1381,plain,(
% 0.16/0.50 apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|~spl0_44),
% 0.16/0.50 inference(component_clause,[status(thm)],[f1380])).
% 0.16/0.50 fof(f1383,plain,(
% 0.16/0.50 spl0_45 <=> apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_1,X0)|apart_point_and_line(sk0_2,X0)),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1384,plain,(
% 0.16/0.50 ![X0]: (apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_1,X0)|apart_point_and_line(sk0_2,X0)|~spl0_45)),
% 0.16/0.50 inference(component_clause,[status(thm)],[f1383])).
% 0.16/0.50 fof(f1386,plain,(
% 0.16/0.50 ![X0]: (apart_point_and_line(sk0_0,line_connecting(sk0_0,sk0_1))|apart_point_and_line(sk0_0,X0)|apart_point_and_line(sk0_1,line_connecting(sk0_0,sk0_1))|apart_point_and_line(sk0_1,X0)|apart_point_and_line(sk0_2,X0)|~spl0_18)),
% 0.16/0.50 inference(resolution,[status(thm)],[f402,f301])).
% 0.16/0.50 fof(f1387,plain,(
% 0.16/0.50 spl0_44|spl0_45|spl0_29|~spl0_18),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1386,f1380,f1383,f845,f401])).
% 0.16/0.50 fof(f1389,plain,(
% 0.16/0.50 spl0_46 <=> distinct_points(sk0_0,sk0_0)),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1390,plain,(
% 0.16/0.50 distinct_points(sk0_0,sk0_0)|~spl0_46),
% 0.16/0.50 inference(component_clause,[status(thm)],[f1389])).
% 0.16/0.50 fof(f1543,plain,(
% 0.16/0.50 $false|~spl0_46),
% 0.16/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1390,f15])).
% 0.16/0.50 fof(f1544,plain,(
% 0.16/0.50 ~spl0_46),
% 0.16/0.50 inference(contradiction_clause,[status(thm)],[f1543])).
% 0.16/0.50 fof(f1658,plain,(
% 0.16/0.50 distinct_points(sk0_1,sk0_1)|distinct_points(sk0_0,sk0_0)|~spl0_44|~spl0_6),
% 0.16/0.50 inference(resolution,[status(thm)],[f1381,f506])).
% 0.16/0.50 fof(f1659,plain,(
% 0.16/0.50 spl0_36|spl0_46|~spl0_44|~spl0_6),
% 0.16/0.50 inference(split_clause,[status(thm)],[f1658,f1082,f1389,f1380,f137])).
% 0.16/0.50 fof(f1682,plain,(
% 0.16/0.50 spl0_49 <=> apart_point_and_line(sk0_0,line_connecting(sk0_1,sk0_0))),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1683,plain,(
% 0.16/0.50 apart_point_and_line(sk0_0,line_connecting(sk0_1,sk0_0))|~spl0_49),
% 0.16/0.50 inference(component_clause,[status(thm)],[f1682])).
% 0.16/0.50 fof(f1685,plain,(
% 0.16/0.50 spl0_50 <=> apart_point_and_line(sk0_1,line_connecting(sk0_1,sk0_0))),
% 0.16/0.50 introduced(split_symbol_definition)).
% 0.16/0.50 fof(f1686,plain,(
% 0.16/0.50 apart_point_and_line(sk0_1,line_connecting(sk0_1,sk0_0))|~spl0_50),
% 0.16/0.50 inference(component_clause,[status(thm)],[f1685])).
% 0.16/0.50 fof(f1688,plain,(
% 0.16/0.50 apart_point_and_line(sk0_0,line_connecting(sk0_1,sk0_0))|apart_point_and_line(sk0_1,line_connecting(sk0_1,sk0_0))|~spl0_45),
% 0.16/0.51 inference(resolution,[status(thm)],[f1384,f50])).
% 0.16/0.51 fof(f1689,plain,(
% 0.16/0.51 spl0_49|spl0_50|~spl0_45),
% 0.16/0.51 inference(split_clause,[status(thm)],[f1688,f1682,f1685,f1383])).
% 0.16/0.51 fof(f1696,plain,(
% 0.16/0.51 spl0_53 <=> distinct_points(sk0_2,sk0_2)),
% 0.16/0.51 introduced(split_symbol_definition)).
% 0.16/0.51 fof(f1697,plain,(
% 0.16/0.51 distinct_points(sk0_2,sk0_2)|~spl0_53),
% 0.16/0.51 inference(component_clause,[status(thm)],[f1696])).
% 0.16/0.51 fof(f1792,plain,(
% 0.16/0.51 $false|~spl0_53),
% 0.16/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1697,f15])).
% 0.16/0.51 fof(f1793,plain,(
% 0.16/0.51 ~spl0_53),
% 0.16/0.51 inference(contradiction_clause,[status(thm)],[f1792])).
% 0.16/0.51 fof(f1794,plain,(
% 0.16/0.51 distinct_points(sk0_0,sk0_0)|~spl0_49|~spl0_6),
% 0.16/0.51 inference(resolution,[status(thm)],[f1683,f595])).
% 0.16/0.51 fof(f1795,plain,(
% 0.16/0.51 spl0_46|~spl0_49|~spl0_6),
% 0.16/0.51 inference(split_clause,[status(thm)],[f1794,f1389,f1682,f137])).
% 0.16/0.51 fof(f1975,plain,(
% 0.16/0.51 distinct_points(sk0_0,sk0_0)|distinct_points(sk0_1,sk0_1)|~spl0_50|~spl0_6),
% 0.16/0.51 inference(resolution,[status(thm)],[f1686,f456])).
% 0.16/0.51 fof(f1976,plain,(
% 0.16/0.51 spl0_46|spl0_36|~spl0_50|~spl0_6),
% 0.16/0.51 inference(split_clause,[status(thm)],[f1975,f1389,f1082,f1685,f137])).
% 0.16/0.51 fof(f1996,plain,(
% 0.16/0.51 $false),
% 0.16/0.51 inference(sat_refutation,[status(thm)],[f141,f443,f976,f1093,f1193,f1387,f1544,f1659,f1689,f1793,f1795,f1976])).
% 0.16/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.52 % Elapsed time: 0.189906 seconds
% 0.16/0.52 % CPU time: 1.218900 seconds
% 0.16/0.52 % Total memory used: 19.521 MB
% 0.16/0.52 % Net memory used: 18.468 MB
%------------------------------------------------------------------------------