%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO196+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:26:02 PM UTC 2026
% Result : Theorem 1.24s 0.72s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO196+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n011.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 13:19:09 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 1.24/0.72 % Refutation found
% 1.24/0.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.24/0.72 % SZS output start CNFRefutation for theBenchmark
% 1.24/0.72 fof(f3,axiom,(
% 1.24/0.72 (! [X] : ~ convergent_lines(X,X) )),
% 1.24/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.24/0.72 fof(f9,axiom,(
% 1.24/0.72 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),X) ) )),
% 1.24/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.24/0.72 fof(f10,axiom,(
% 1.24/0.72 (! [X,Y] :( convergent_lines(X,Y)=> ~ apart_point_and_line(intersection_point(X,Y),Y) ) )),
% 1.24/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.24/0.72 fof(f11,axiom,(
% 1.24/0.72 (! [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) ) ) )),
% 1.24/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.24/0.72 fof(f12,axiom,(
% 1.24/0.72 (! [X,Y,Z] :( apart_point_and_line(X,Y)=> ( distinct_points(X,Z)| apart_point_and_line(Z,Y) ) ) )),
% 1.24/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.24/0.72 fof(f14,axiom,(
% 1.24/0.72 (! [X,Y,Z] :( convergent_lines(X,Y)=> ( distinct_lines(Y,Z)| convergent_lines(X,Z) ) ) )),
% 1.24/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.24/0.72 fof(f15,conjecture,(
% 1.24/0.72 (! [X,Y,U,V] :( ( convergent_lines(X,Y)& convergent_lines(U,V)& ~ apart_point_and_line(intersection_point(X,Y),U)& ~ apart_point_and_line(intersection_point(X,Y),V) )=> ( ~ apart_point_and_line(intersection_point(U,V),X)& ~ apart_point_and_line(intersection_point(U,V),Y) ) ) )),
% 1.24/0.72 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.24/0.72 fof(f16,negated_conjecture,(
% 1.24/0.72 ~((! [X,Y,U,V] :( ( convergent_lines(X,Y)& convergent_lines(U,V)& ~ apart_point_and_line(intersection_point(X,Y),U)& ~ apart_point_and_line(intersection_point(X,Y),V) )=> ( ~ apart_point_and_line(intersection_point(U,V),X)& ~ apart_point_and_line(intersection_point(U,V),Y) ) ) ))),
% 1.24/0.72 inference(negated_conjecture,[status(cth)],[f15])).
% 1.24/0.72 fof(f19,plain,(
% 1.24/0.72 ![X0]: (~convergent_lines(X0,X0))),
% 1.24/0.72 inference(cnf_transformation,[status(thm)],[f3])).
% 1.24/0.72 fof(f33,plain,(
% 1.24/0.72 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),X))),
% 1.24/0.72 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 1.24/0.72 fof(f34,plain,(
% 1.24/0.72 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X0))),
% 1.24/0.72 inference(cnf_transformation,[status(thm)],[f33])).
% 1.24/0.72 fof(f35,plain,(
% 1.24/0.72 ![X,Y]: (~convergent_lines(X,Y)|~apart_point_and_line(intersection_point(X,Y),Y))),
% 1.24/0.72 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 1.24/0.72 fof(f36,plain,(
% 1.24/0.72 ![X0,X1]: (~convergent_lines(X0,X1)|~apart_point_and_line(intersection_point(X0,X1),X1))),
% 1.24/0.72 inference(cnf_transformation,[status(thm)],[f35])).
% 1.24/0.72 fof(f37,plain,(
% 1.24/0.72 ![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)))),
% 1.24/0.72 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 1.24/0.72 fof(f38,plain,(
% 1.24/0.72 ![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))),
% 1.24/0.72 inference(cnf_transformation,[status(thm)],[f37])).
% 1.24/0.72 fof(f39,plain,(
% 1.24/0.72 ![X,Y,Z]: (~apart_point_and_line(X,Y)|(distinct_points(X,Z)|apart_point_and_line(Z,Y)))),
% 1.24/0.72 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 1.24/0.72 fof(f40,plain,(
% 1.24/0.72 ![X,Y]: (~apart_point_and_line(X,Y)|(![Z]: (distinct_points(X,Z)|apart_point_and_line(Z,Y))))),
% 1.24/0.72 inference(miniscoping,[status(thm)],[f39])).
% 1.24/0.72 fof(f41,plain,(
% 1.24/0.72 ![X0,X1,X2]: (~apart_point_and_line(X0,X1)|distinct_points(X0,X2)|apart_point_and_line(X2,X1))),
% 1.24/0.72 inference(cnf_transformation,[status(thm)],[f40])).
% 1.24/0.72 fof(f45,plain,(
% 1.24/0.72 ![X,Y,Z]: (~convergent_lines(X,Y)|(distinct_lines(Y,Z)|convergent_lines(X,Z)))),
% 1.24/0.72 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 1.24/0.72 fof(f46,plain,(
% 1.24/0.72 ![X,Y]: (~convergent_lines(X,Y)|(![Z]: (distinct_lines(Y,Z)|convergent_lines(X,Z))))),
% 1.24/0.72 inference(miniscoping,[status(thm)],[f45])).
% 1.24/0.72 fof(f47,plain,(
% 1.24/0.72 ![X0,X1,X2]: (~convergent_lines(X0,X1)|distinct_lines(X1,X2)|convergent_lines(X0,X2))),
% 1.24/0.72 inference(cnf_transformation,[status(thm)],[f46])).
% 1.24/0.72 fof(f48,plain,(
% 1.24/0.72 (?[X,Y,U,V]: ((((convergent_lines(X,Y)&convergent_lines(U,V))&~apart_point_and_line(intersection_point(X,Y),U))&~apart_point_and_line(intersection_point(X,Y),V))&(apart_point_and_line(intersection_point(U,V),X)|apart_point_and_line(intersection_point(U,V),Y))))),
% 1.24/0.72 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 1.24/0.72 fof(f49,plain,(
% 1.24/0.72 ((((convergent_lines(sK0_skl,sK1_skl)&convergent_lines(sK2_skl,sK3_skl))&~apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK2_skl))&~apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK3_skl))&(apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK0_skl)|apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK1_skl)))),
% 1.24/0.72 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl),skolemize(U,sK2_skl),skolemize(V,sK3_skl)],[f48])).
% 1.24/0.72 fof(f50,plain,(
% 1.24/0.72 convergent_lines(sK0_skl,sK1_skl)),
% 1.24/0.72 inference(cnf_transformation,[status(thm)],[f49])).
% 1.24/0.72 fof(f51,plain,(
% 1.24/0.72 convergent_lines(sK2_skl,sK3_skl)),
% 1.24/0.72 inference(cnf_transformation,[status(thm)],[f49])).
% 1.24/0.72 fof(f52,plain,(
% 1.24/0.72 ~apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK2_skl)),
% 1.24/0.72 inference(cnf_transformation,[status(thm)],[f49])).
% 1.24/0.72 fof(f53,plain,(
% 1.24/0.72 ~apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK3_skl)),
% 1.24/0.72 inference(cnf_transformation,[status(thm)],[f49])).
% 1.24/0.72 fof(f54,plain,(
% 1.24/0.72 apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK0_skl)|apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK1_skl)),
% 1.24/0.72 inference(cnf_transformation,[status(thm)],[f49])).
% 1.24/0.72 fof(f55,definition,(
% 1.24/0.72 sQ0_spl <=> (apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK0_skl))),
% 1.24/0.72 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 1.24/0.72 fof(f56,plain,(
% 1.24/0.72 apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK0_skl)|~sQ0_spl),
% 1.24/0.72 inference(component_clause,[status(thm)],[f55])).
% 1.24/0.72 fof(f58,definition,(
% 1.24/0.72 sQ1_spl <=> (apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK1_skl))),
% 1.24/0.72 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 1.24/0.72 fof(f59,plain,(
% 1.24/0.72 apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK1_skl)|~sQ1_spl),
% 1.24/0.72 inference(component_clause,[status(thm)],[f58])).
% 1.24/0.72 fof(f61,plain,(
% 1.24/0.72 sQ0_spl|sQ1_spl),
% 1.24/0.72 inference(split_clause,[status(thm)],[f54,f55,f58])).
% 1.24/0.72 fof(f199,plain,(
% 1.24/0.72 ![X0]: (distinct_points(intersection_point(sK2_skl,sK3_skl),X0)|apart_point_and_line(X0,sK0_skl)|~sQ0_spl)),
% 1.24/0.72 inference(resolution,[status(thm)],[f41,f56])).
% 1.24/0.72 fof(f207,plain,(
% 1.24/0.72 ![X0]: (distinct_lines(sK3_skl,X0)|convergent_lines(sK2_skl,X0))),
% 1.24/0.72 inference(resolution,[status(thm)],[f47,f51])).
% 1.24/0.72 fof(f235,plain,(
% 1.24/0.72 distinct_lines(sK3_skl,sK2_skl)),
% 1.24/0.72 inference(resolution,[status(thm)],[f207,f19])).
% 1.24/0.72 fof(f305,plain,(
% 1.24/0.72 ![X0,X1,X2]: (apart_point_and_line(X0,sK0_skl)|~distinct_lines(X1,X2)|apart_point_and_line(intersection_point(sK2_skl,sK3_skl),X1)|apart_point_and_line(intersection_point(sK2_skl,sK3_skl),X2)|apart_point_and_line(X0,X1)|apart_point_and_line(X0,X2)|~sQ0_spl)),
% 1.24/0.72 inference(resolution,[status(thm)],[f199,f38])).
% 1.24/0.72 fof(f654,plain,(
% 1.24/0.72 ![X0]: (apart_point_and_line(X0,sK0_skl)|apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK3_skl)|apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK2_skl)|apart_point_and_line(X0,sK3_skl)|apart_point_and_line(X0,sK2_skl)|~sQ0_spl)),
% 1.24/0.72 inference(resolution,[status(thm)],[f305,f235])).
% 1.24/0.72 fof(f689,definition,(
% 1.24/0.72 ![X0]: (sQ40_spl <=> (apart_point_and_line(X0,sK0_skl)|apart_point_and_line(X0,sK3_skl)|apart_point_and_line(X0,sK2_skl)))),
% 1.24/0.72 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 1.24/0.72 fof(f690,plain,(
% 1.24/0.72 ![X0]: (apart_point_and_line(X0,sK0_skl)|apart_point_and_line(X0,sK3_skl)|apart_point_and_line(X0,sK2_skl)|~sQ40_spl)),
% 1.24/0.72 inference(component_clause,[status(thm)],[f689])).
% 1.24/0.72 fof(f692,definition,(
% 1.24/0.72 sQ41_spl <=> (apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK3_skl))),
% 1.24/0.72 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 1.24/0.72 fof(f693,plain,(
% 1.24/0.72 apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK3_skl)|~sQ41_spl),
% 1.24/0.72 inference(component_clause,[status(thm)],[f692])).
% 1.24/0.72 fof(f695,definition,(
% 1.24/0.72 sQ42_spl <=> (apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK2_skl))),
% 1.24/0.72 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 1.24/0.72 fof(f696,plain,(
% 1.24/0.72 apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK2_skl)|~sQ42_spl),
% 1.24/0.72 inference(component_clause,[status(thm)],[f695])).
% 1.24/0.72 fof(f698,plain,(
% 1.24/0.72 sQ40_spl|sQ41_spl|sQ42_spl|~sQ0_spl),
% 1.24/0.72 inference(split_clause,[status(thm)],[f654,f689,f692,f695,f55])).
% 1.24/0.72 fof(f741,plain,(
% 1.24/0.72 ![X0]: (distinct_points(intersection_point(sK2_skl,sK3_skl),X0)|apart_point_and_line(X0,sK1_skl)|~sQ1_spl)),
% 1.24/0.72 inference(resolution,[status(thm)],[f59,f41])).
% 1.24/0.72 fof(f930,plain,(
% 1.24/0.72 ![X0,X1,X2]: (apart_point_and_line(X0,sK1_skl)|~distinct_lines(X1,X2)|apart_point_and_line(intersection_point(sK2_skl,sK3_skl),X1)|apart_point_and_line(intersection_point(sK2_skl,sK3_skl),X2)|apart_point_and_line(X0,X1)|apart_point_and_line(X0,X2)|~sQ1_spl)),
% 1.24/0.72 inference(resolution,[status(thm)],[f741,f38])).
% 1.24/0.72 fof(f1394,plain,(
% 1.24/0.72 ![X0]: (apart_point_and_line(X0,sK1_skl)|apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK3_skl)|apart_point_and_line(intersection_point(sK2_skl,sK3_skl),sK2_skl)|apart_point_and_line(X0,sK3_skl)|apart_point_and_line(X0,sK2_skl)|~sQ1_spl)),
% 1.24/0.72 inference(resolution,[status(thm)],[f930,f235])).
% 1.24/0.72 fof(f1454,definition,(
% 1.24/0.72 ![X0]: (sQ73_spl <=> (apart_point_and_line(X0,sK1_skl)|apart_point_and_line(X0,sK3_skl)|apart_point_and_line(X0,sK2_skl)))),
% 1.24/0.72 introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition])).
% 1.24/0.72 fof(f1455,plain,(
% 1.24/0.72 ![X0]: (apart_point_and_line(X0,sK1_skl)|apart_point_and_line(X0,sK3_skl)|apart_point_and_line(X0,sK2_skl)|~sQ73_spl)),
% 1.24/0.72 inference(component_clause,[status(thm)],[f1454])).
% 1.24/0.72 fof(f1457,plain,(
% 1.24/0.72 sQ73_spl|sQ41_spl|sQ42_spl|~sQ1_spl),
% 1.24/0.72 inference(split_clause,[status(thm)],[f1394,f1454,f692,f695,f58])).
% 1.24/0.72 fof(f1524,plain,(
% 1.24/0.72 ~convergent_lines(sK2_skl,sK3_skl)|~sQ41_spl),
% 1.24/0.72 inference(resolution,[status(thm)],[f693,f36])).
% 1.24/0.72 fof(f1527,plain,(
% 1.24/0.72 $false|~sQ41_spl),
% 1.24/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1524,f51])).
% 1.24/0.72 fof(f1528,plain,(
% 1.24/0.72 ~sQ41_spl),
% 1.24/0.72 inference(contradiction_clause,[status(thm)],[f1527])).
% 1.24/0.72 fof(f1529,plain,(
% 1.24/0.72 ~convergent_lines(sK2_skl,sK3_skl)|~sQ42_spl),
% 1.24/0.72 inference(resolution,[status(thm)],[f696,f34])).
% 1.24/0.72 fof(f1532,plain,(
% 1.24/0.72 $false|~sQ42_spl),
% 1.24/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1529,f51])).
% 1.24/0.72 fof(f1533,plain,(
% 1.24/0.72 ~sQ42_spl),
% 1.24/0.72 inference(contradiction_clause,[status(thm)],[f1532])).
% 1.24/0.72 fof(f1709,plain,(
% 1.24/0.72 apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK1_skl)|apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK2_skl)|~sQ73_spl),
% 1.24/0.72 inference(resolution,[status(thm)],[f1455,f53])).
% 1.24/0.72 fof(f1714,definition,(
% 1.24/0.72 sQ86_spl <=> (apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK1_skl))),
% 1.24/0.72 introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition])).
% 1.24/0.72 fof(f1715,plain,(
% 1.24/0.72 apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK1_skl)|~sQ86_spl),
% 1.24/0.72 inference(component_clause,[status(thm)],[f1714])).
% 1.24/0.72 fof(f1717,definition,(
% 1.24/0.72 sQ87_spl <=> (apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK2_skl))),
% 1.24/0.72 introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 1.24/0.72 fof(f1718,plain,(
% 1.24/0.72 apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK2_skl)|~sQ87_spl),
% 1.24/0.72 inference(component_clause,[status(thm)],[f1717])).
% 1.24/0.72 fof(f1720,plain,(
% 1.24/0.72 sQ86_spl|sQ87_spl|~sQ73_spl),
% 1.24/0.72 inference(split_clause,[status(thm)],[f1709,f1714,f1717,f1454])).
% 1.24/0.72 fof(f1756,plain,(
% 1.24/0.72 ~convergent_lines(sK0_skl,sK1_skl)|~sQ86_spl),
% 1.24/0.72 inference(resolution,[status(thm)],[f1715,f36])).
% 1.24/0.72 fof(f1759,plain,(
% 1.24/0.72 $false|~sQ86_spl),
% 1.24/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1756,f50])).
% 1.24/0.72 fof(f1760,plain,(
% 1.24/0.72 ~sQ86_spl),
% 1.24/0.72 inference(contradiction_clause,[status(thm)],[f1759])).
% 1.24/0.72 fof(f1761,plain,(
% 1.24/0.72 $false|~sQ87_spl),
% 1.24/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1718,f52])).
% 1.24/0.72 fof(f1762,plain,(
% 1.24/0.72 ~sQ87_spl),
% 1.24/0.72 inference(contradiction_clause,[status(thm)],[f1761])).
% 1.24/0.72 fof(f1770,plain,(
% 1.24/0.72 apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK0_skl)|apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK2_skl)|~sQ40_spl),
% 1.24/0.72 inference(resolution,[status(thm)],[f690,f53])).
% 1.24/0.72 fof(f1775,definition,(
% 1.24/0.72 sQ92_spl <=> (apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK0_skl))),
% 1.24/0.72 introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition])).
% 1.24/0.72 fof(f1776,plain,(
% 1.24/0.72 apart_point_and_line(intersection_point(sK0_skl,sK1_skl),sK0_skl)|~sQ92_spl),
% 1.24/0.72 inference(component_clause,[status(thm)],[f1775])).
% 1.24/0.72 fof(f1778,plain,(
% 1.24/0.72 sQ92_spl|sQ87_spl|~sQ40_spl),
% 1.24/0.72 inference(split_clause,[status(thm)],[f1770,f1775,f1717,f689])).
% 1.24/0.72 fof(f1779,plain,(
% 1.24/0.72 ~convergent_lines(sK0_skl,sK1_skl)|~sQ92_spl),
% 1.24/0.72 inference(resolution,[status(thm)],[f1776,f34])).
% 1.24/0.72 fof(f1782,plain,(
% 1.24/0.72 $false|~sQ92_spl),
% 1.24/0.72 inference(forward_subsumption_resolution,[status(thm)],[f1779,f50])).
% 1.24/0.72 fof(f1783,plain,(
% 1.24/0.72 ~sQ92_spl),
% 1.24/0.72 inference(contradiction_clause,[status(thm)],[f1782])).
% 1.24/0.72 fof(f1784,plain,(
% 1.24/0.72 $false),
% 1.24/0.72 inference(sat_refutation,[status(thm)],[f61,f698,f1457,f1528,f1533,f1720,f1760,f1762,f1778,f1783])).
% 1.24/0.72 % SZS output end CNFRefutation for theBenchmark.p
% 0.82/0.73 % Elapsed time: 0.368828 seconds
% 0.82/0.73 % CPU time: 2.696120 seconds
% 0.82/0.73 % Total memory used: 40.275 MB
% 0.82/0.73 % Net memory used: 33.947 MB
%------------------------------------------------------------------------------