%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV406+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 : n005.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 02:50:43 PM UTC 2026
% Result : Theorem 0.12s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV406+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
% 0.08/0.35 % Computer : n005.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:44:33 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.12/0.44 % Refutation found
% 0.12/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.44 fof(f2,axiom,(
% 0.12/0.44 (! [U,V] :( less_than(U,V)| less_than(V,U) ) )),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f4,axiom,(
% 0.12/0.44 (! [U,V] :( strictly_less_than(U,V)<=> ( less_than(U,V)& ~ less_than(V,U) ) ) )),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f11,axiom,(
% 0.12/0.44 (! [U,V,W,X,Y] :( pair_in_list(insert_slb(U,pair(V,X)),W,Y)<=> ( pair_in_list(U,W,Y)| ( V = W& X = Y ) ) ) )),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f25,axiom,(
% 0.12/0.44 (! [U,V,W,X,Y] :( less_than(Y,X)=> ( check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))<=> check_cpq(triple(U,V,W)) ) ) )),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f26,axiom,(
% 0.12/0.44 (! [U,V,W,X,Y] :( strictly_less_than(X,Y)=> ( check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))<=> $false ) ) )),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f42,conjecture,(
% 0.12/0.44 (! [U] :( (! [V,W] :( check_cpq(triple(V,U,W))<=> (! [X,Y] :( pair_in_list(U,X,Y)=> less_than(Y,X) ) )))=> (! [Z,X1,X2,X3] :( check_cpq(triple(Z,insert_slb(U,pair(X2,X3)),X1))<=> (! [X4,X5] :( pair_in_list(insert_slb(U,pair(X2,X3)),X4,X5)=> less_than(X5,X4) ) )) )) )),
% 0.12/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.44 fof(f43,negated_conjecture,(
% 0.12/0.44 ~((! [U] :( (! [V,W] :( check_cpq(triple(V,U,W))<=> (! [X,Y] :( pair_in_list(U,X,Y)=> less_than(Y,X) ) )))=> (! [Z,X1,X2,X3] :( check_cpq(triple(Z,insert_slb(U,pair(X2,X3)),X1))<=> (! [X4,X5] :( pair_in_list(insert_slb(U,pair(X2,X3)),X4,X5)=> less_than(X5,X4) ) )) )) ))),
% 0.12/0.44 inference(negated_conjecture,[status(cth)],[f42])).
% 0.12/0.44 fof(f47,plain,(
% 0.12/0.44 ![X0,X1]: (less_than(X0,X1)|less_than(X1,X0))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.44 fof(f49,plain,(
% 0.12/0.44 ![U,V]: ((~strictly_less_than(U,V)|(less_than(U,V)&~less_than(V,U)))&(strictly_less_than(U,V)|(~less_than(U,V)|less_than(V,U))))),
% 0.12/0.44 inference(NNF_transformation,[status(thm)],[f4])).
% 0.12/0.44 fof(f50,plain,(
% 0.12/0.44 (![U,V]: (~strictly_less_than(U,V)|(less_than(U,V)&~less_than(V,U))))&(![U,V]: (strictly_less_than(U,V)|(~less_than(U,V)|less_than(V,U))))),
% 0.12/0.44 inference(miniscoping,[status(thm)],[f49])).
% 0.12/0.44 fof(f53,plain,(
% 0.12/0.44 ![X0,X1]: (strictly_less_than(X0,X1)|~less_than(X0,X1)|less_than(X1,X0))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f50])).
% 0.12/0.44 fof(f64,plain,(
% 0.12/0.44 ![U,V,W,X,Y]: ((~pair_in_list(insert_slb(U,pair(V,X)),W,Y)|(pair_in_list(U,W,Y)|(V=W&X=Y)))&(pair_in_list(insert_slb(U,pair(V,X)),W,Y)|(~pair_in_list(U,W,Y)&(~V=W|~X=Y))))),
% 0.12/0.44 inference(NNF_transformation,[status(thm)],[f11])).
% 0.12/0.44 fof(f65,plain,(
% 0.12/0.44 (![U,V,W,X,Y]: (~pair_in_list(insert_slb(U,pair(V,X)),W,Y)|(pair_in_list(U,W,Y)|(V=W&X=Y))))&(![U,V,W,X,Y]: (pair_in_list(insert_slb(U,pair(V,X)),W,Y)|(~pair_in_list(U,W,Y)&(~V=W|~X=Y))))),
% 0.12/0.44 inference(miniscoping,[status(thm)],[f64])).
% 0.12/0.44 fof(f66,plain,(
% 0.12/0.44 ![X0,X1,X2,X3,X4]: (~pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4)|pair_in_list(X0,X3,X4)|X1=X3)),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f65])).
% 0.12/0.44 fof(f67,plain,(
% 0.12/0.44 ![X0,X1,X2,X3,X4]: (~pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4)|pair_in_list(X0,X3,X4)|X2=X4)),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f65])).
% 0.12/0.44 fof(f68,plain,(
% 0.12/0.44 ![X0,X1,X2,X3,X4]: (pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4)|~pair_in_list(X0,X3,X4))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f65])).
% 0.12/0.44 fof(f69,plain,(
% 0.12/0.44 ![X0,X1,X2,X3,X4]: (pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4)|~X1=X3|~X2=X4)),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f65])).
% 0.12/0.44 fof(f97,plain,(
% 0.12/0.44 ![U,V,W,X,Y]: (~less_than(Y,X)|(check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))<=>check_cpq(triple(U,V,W))))),
% 0.12/0.44 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.12/0.44 fof(f98,plain,(
% 0.12/0.44 ![U,V,W,X,Y]: (~less_than(Y,X)|((~check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))|check_cpq(triple(U,V,W)))&(check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))|~check_cpq(triple(U,V,W)))))),
% 0.12/0.44 inference(NNF_transformation,[status(thm)],[f97])).
% 0.12/0.44 fof(f99,plain,(
% 0.12/0.44 ![X,Y]: (~less_than(Y,X)|((![U,V,W]: (~check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))|check_cpq(triple(U,V,W))))&(![U,V,W]: (check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))|~check_cpq(triple(U,V,W))))))),
% 0.12/0.44 inference(miniscoping,[status(thm)],[f98])).
% 0.12/0.44 fof(f100,plain,(
% 0.12/0.44 ![X0,X1,X2,X3,X4]: (~less_than(X0,X1)|~check_cpq(triple(X2,insert_slb(X3,pair(X1,X0)),X4))|check_cpq(triple(X2,X3,X4)))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f99])).
% 0.12/0.44 fof(f101,plain,(
% 0.12/0.44 ![X0,X1,X2,X3,X4]: (~less_than(X0,X1)|check_cpq(triple(X2,insert_slb(X3,pair(X1,X0)),X4))|~check_cpq(triple(X2,X3,X4)))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f99])).
% 0.12/0.44 fof(f102,plain,(
% 0.12/0.44 ![U,V,W,X,Y]: (~strictly_less_than(X,Y)|(check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))<=>$false))),
% 0.12/0.44 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.12/0.44 fof(f103,plain,(
% 0.12/0.44 ![U,V,W,X,Y]: (~strictly_less_than(X,Y)|((~check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))|$false)&(check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))|$true)))),
% 0.12/0.44 inference(NNF_transformation,[status(thm)],[f102])).
% 0.12/0.44 fof(f104,plain,(
% 0.12/0.44 ![X,Y]: (~strictly_less_than(X,Y)|(((![U,V,W]: ~check_cpq(triple(U,insert_slb(V,pair(X,Y)),W)))|$false)&((![U,V,W]: check_cpq(triple(U,insert_slb(V,pair(X,Y)),W)))|$true)))),
% 0.12/0.44 inference(miniscoping,[status(thm)],[f103])).
% 0.12/0.44 fof(f105,plain,(
% 0.12/0.44 ![X,Y]: (~strictly_less_than(X,Y)|(![U,V,W]: ~check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))))),
% 0.12/0.44 inference(true_and_false_simplification,[status(thm)],[f104])).
% 0.12/0.44 fof(f106,plain,(
% 0.12/0.44 ![X0,X1,X2,X3,X4]: (~strictly_less_than(X0,X1)|~check_cpq(triple(X2,insert_slb(X3,pair(X0,X1)),X4)))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f105])).
% 0.12/0.44 fof(f144,plain,(
% 0.12/0.44 (?[U]: ((![V,W]: (check_cpq(triple(V,U,W))<=>(![X,Y]: (~pair_in_list(U,X,Y)|less_than(Y,X)))))&(?[Z,X1,X2,X3]: (check_cpq(triple(Z,insert_slb(U,pair(X2,X3)),X1))<~>(![X4,X5]: (~pair_in_list(insert_slb(U,pair(X2,X3)),X4,X5)|less_than(X5,X4)))))))),
% 0.12/0.44 inference(pre_NNF_transformation,[status(thm)],[f43])).
% 0.12/0.44 fof(f145,plain,(
% 0.12/0.44 ?[U]: ((![V,W]: ((~check_cpq(triple(V,U,W))|(![X,Y]: (~pair_in_list(U,X,Y)|less_than(Y,X))))&(check_cpq(triple(V,U,W))|(?[X,Y]: (pair_in_list(U,X,Y)&~less_than(Y,X))))))&(?[Z,X1,X2,X3]: ((check_cpq(triple(Z,insert_slb(U,pair(X2,X3)),X1))|(![X4,X5]: (~pair_in_list(insert_slb(U,pair(X2,X3)),X4,X5)|less_than(X5,X4))))&(~check_cpq(triple(Z,insert_slb(U,pair(X2,X3)),X1))|(?[X4,X5]: (pair_in_list(insert_slb(U,pair(X2,X3)),X4,X5)&~less_than(X5,X4)))))))),
% 0.12/0.44 inference(NNF_transformation,[status(thm)],[f144])).
% 0.12/0.44 fof(f146,plain,(
% 0.12/0.44 ?[U]: ((((![V,W]: ~check_cpq(triple(V,U,W)))|(![X,Y]: (~pair_in_list(U,X,Y)|less_than(Y,X))))&((![V,W]: check_cpq(triple(V,U,W)))|(?[X,Y]: (pair_in_list(U,X,Y)&~less_than(Y,X)))))&(?[Z,X1,X2,X3]: ((check_cpq(triple(Z,insert_slb(U,pair(X2,X3)),X1))|(![X4,X5]: (~pair_in_list(insert_slb(U,pair(X2,X3)),X4,X5)|less_than(X5,X4))))&(~check_cpq(triple(Z,insert_slb(U,pair(X2,X3)),X1))|(?[X4,X5]: (pair_in_list(insert_slb(U,pair(X2,X3)),X4,X5)&~less_than(X5,X4)))))))),
% 0.12/0.44 inference(miniscoping,[status(thm)],[f145])).
% 0.12/0.44 fof(f147,plain,(
% 0.12/0.44 ((((![V,W]: ~check_cpq(triple(V,sK0_skl,W)))|(![X,Y]: (~pair_in_list(sK0_skl,X,Y)|less_than(Y,X))))&((![V,W]: check_cpq(triple(V,sK0_skl,W)))|(pair_in_list(sK0_skl,sK1_skl,sK2_skl)&~less_than(sK2_skl,sK1_skl))))&((check_cpq(triple(sK3_skl,insert_slb(sK0_skl,pair(sK5_skl,sK6_skl)),sK4_skl))|(![X4,X5]: (~pair_in_list(insert_slb(sK0_skl,pair(sK5_skl,sK6_skl)),X4,X5)|less_than(X5,X4))))&(~check_cpq(triple(sK3_skl,insert_slb(sK0_skl,pair(sK5_skl,sK6_skl)),sK4_skl))|(pair_in_list(insert_slb(sK0_skl,pair(sK5_skl,sK6_skl)),sK7_skl,sK8_skl)&~less_than(sK8_skl,sK7_skl)))))),
% 0.12/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl,sK6_skl,sK7_skl,sK8_skl]),skolemize(U,sK0_skl),skolemize(X,sK1_skl),skolemize(Y,sK2_skl),skolemize(Z,sK3_skl),skolemize(X1,sK4_skl),skolemize(X2,sK5_skl),skolemize(X3,sK6_skl),skolemize(X4,sK7_skl),skolemize(X5,sK8_skl)],[f146])).
% 0.12/0.44 fof(f148,plain,(
% 0.12/0.44 ![X0,X1,X2,X3]: (~check_cpq(triple(X0,sK0_skl,X1))|~pair_in_list(sK0_skl,X2,X3)|less_than(X3,X2))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f147])).
% 0.12/0.44 fof(f149,plain,(
% 0.12/0.44 ![X0,X1]: (check_cpq(triple(X0,sK0_skl,X1))|pair_in_list(sK0_skl,sK1_skl,sK2_skl))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f147])).
% 0.12/0.44 fof(f150,plain,(
% 0.12/0.44 ![X0,X1]: (check_cpq(triple(X0,sK0_skl,X1))|~less_than(sK2_skl,sK1_skl))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f147])).
% 0.12/0.44 fof(f151,plain,(
% 0.12/0.44 ![X0,X1]: (check_cpq(triple(sK3_skl,insert_slb(sK0_skl,pair(sK5_skl,sK6_skl)),sK4_skl))|~pair_in_list(insert_slb(sK0_skl,pair(sK5_skl,sK6_skl)),X0,X1)|less_than(X1,X0))),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f147])).
% 0.12/0.44 fof(f152,plain,(
% 0.12/0.44 ~check_cpq(triple(sK3_skl,insert_slb(sK0_skl,pair(sK5_skl,sK6_skl)),sK4_skl))|pair_in_list(insert_slb(sK0_skl,pair(sK5_skl,sK6_skl)),sK7_skl,sK8_skl)),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f147])).
% 0.12/0.44 fof(f153,plain,(
% 0.12/0.44 ~check_cpq(triple(sK3_skl,insert_slb(sK0_skl,pair(sK5_skl,sK6_skl)),sK4_skl))|~less_than(sK8_skl,sK7_skl)),
% 0.12/0.44 inference(cnf_transformation,[status(thm)],[f147])).
% 0.12/0.44 fof(f154,definition,(
% 0.12/0.44 ![X0,X1]: (sQ0_spl <=> (~check_cpq(triple(X0,sK0_skl,X1))))),
% 0.12/0.44 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.44 fof(f155,plain,(
% 0.12/0.44 ![X0,X1]: (~check_cpq(triple(X0,sK0_skl,X1))|~sQ0_spl)),
% 0.12/0.44 inference(component_clause,[status(thm)],[f154])).
% 0.12/0.44 fof(f157,definition,(
% 0.12/0.44 ![X2,X3]: (sQ1_spl <=> (~pair_in_list(sK0_skl,X2,X3)|less_than(X3,X2)))),
% 0.12/0.44 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.44 fof(f158,plain,(
% 0.12/0.44 ![X0,X1]: (~pair_in_list(sK0_skl,X0,X1)|less_than(X1,X0)|~sQ1_spl)),
% 0.12/0.44 inference(component_clause,[status(thm)],[f157])).
% 0.12/0.44 fof(f160,plain,(
% 0.12/0.44 sQ0_spl|sQ1_spl),
% 0.12/0.44 inference(split_clause,[status(thm)],[f148,f154,f157])).
% 0.12/0.44 fof(f161,definition,(
% 0.12/0.44 ![X0,X1]: (sQ2_spl <=> (check_cpq(triple(X0,sK0_skl,X1))))),
% 0.12/0.44 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.44 fof(f162,plain,(
% 0.12/0.44 ![X0,X1]: (check_cpq(triple(X0,sK0_skl,X1))|~sQ2_spl)),
% 0.12/0.44 inference(component_clause,[status(thm)],[f161])).
% 0.12/0.44 fof(f164,definition,(
% 0.12/0.44 sQ3_spl <=> (pair_in_list(sK0_skl,sK1_skl,sK2_skl))),
% 0.12/0.44 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.44 fof(f165,plain,(
% 0.12/0.44 pair_in_list(sK0_skl,sK1_skl,sK2_skl)|~sQ3_spl),
% 0.12/0.44 inference(component_clause,[status(thm)],[f164])).
% 0.12/0.44 fof(f167,plain,(
% 0.12/0.44 sQ2_spl|sQ3_spl),
% 0.12/0.44 inference(split_clause,[status(thm)],[f149,f161,f164])).
% 0.12/0.44 fof(f168,definition,(
% 0.12/0.44 sQ4_spl <=> (less_than(sK2_skl,sK1_skl))),
% 0.12/0.44 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.44 fof(f171,plain,(
% 0.12/0.44 sQ2_spl|~sQ4_spl),
% 0.12/0.44 inference(split_clause,[status(thm)],[f150,f161,f168])).
% 0.12/0.44 fof(f172,definition,(
% 0.12/0.44 sQ5_spl <=> (check_cpq(triple(sK3_skl,insert_slb(sK0_skl,pair(sK5_skl,sK6_skl)),sK4_skl)))),
% 0.12/0.44 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.44 fof(f173,plain,(
% 0.12/0.44 check_cpq(triple(sK3_skl,insert_slb(sK0_skl,pair(sK5_skl,sK6_skl)),sK4_skl))|~sQ5_spl),
% 0.12/0.44 inference(component_clause,[status(thm)],[f172])).
% 0.12/0.44 fof(f174,plain,(
% 0.12/0.44 ~check_cpq(triple(sK3_skl,insert_slb(sK0_skl,pair(sK5_skl,sK6_skl)),sK4_skl))|sQ5_spl),
% 0.12/0.44 inference(component_clause,[status(thm)],[f172])).
% 0.12/0.44 fof(f175,definition,(
% 0.12/0.44 ![X0,X1]: (sQ6_spl <=> (~pair_in_list(insert_slb(sK0_skl,pair(sK5_skl,sK6_skl)),X0,X1)|less_than(X1,X0)))),
% 0.12/0.44 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.44 fof(f176,plain,(
% 0.12/0.44 ![X0,X1]: (~pair_in_list(insert_slb(sK0_skl,pair(sK5_skl,sK6_skl)),X0,X1)|less_than(X1,X0)|~sQ6_spl)),
% 0.12/0.44 inference(component_clause,[status(thm)],[f175])).
% 0.12/0.44 fof(f178,plain,(
% 0.12/0.44 sQ5_spl|sQ6_spl),
% 0.12/0.44 inference(split_clause,[status(thm)],[f151,f172,f175])).
% 0.12/0.44 fof(f179,definition,(
% 0.12/0.44 sQ7_spl <=> (pair_in_list(insert_slb(sK0_skl,pair(sK5_skl,sK6_skl)),sK7_skl,sK8_skl))),
% 0.12/0.44 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.44 fof(f180,plain,(
% 0.12/0.44 pair_in_list(insert_slb(sK0_skl,pair(sK5_skl,sK6_skl)),sK7_skl,sK8_skl)|~sQ7_spl),
% 0.12/0.44 inference(component_clause,[status(thm)],[f179])).
% 0.12/0.44 fof(f182,plain,(
% 0.12/0.44 ~sQ5_spl|sQ7_spl),
% 0.12/0.44 inference(split_clause,[status(thm)],[f152,f172,f179])).
% 0.12/0.44 fof(f183,definition,(
% 0.12/0.44 sQ8_spl <=> (less_than(sK8_skl,sK7_skl))),
% 0.12/0.44 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.12/0.44 fof(f185,plain,(
% 0.12/0.44 ~less_than(sK8_skl,sK7_skl)|sQ8_spl),
% 0.12/0.44 inference(component_clause,[status(thm)],[f183])).
% 0.12/0.44 fof(f186,plain,(
% 0.12/0.44 ~sQ5_spl|~sQ8_spl),
% 0.12/0.44 inference(split_clause,[status(thm)],[f153,f172,f183])).
% 0.12/0.44 fof(f188,plain,(
% 0.12/0.44 ![X0,X1,X2]: (pair_in_list(insert_slb(X0,pair(X1,X2)),X1,X2))),
% 0.12/0.44 inference(destructive_equality_resolution,[status(thm)],[f69])).
% 0.12/0.44 fof(f197,plain,(
% 0.12/0.44 ![X0,X1]: (strictly_less_than(X0,X1)|less_than(X1,X0))),
% 0.12/0.44 inference(forward_subsumption_resolution,[status(thm)],[f53,f47])).
% 0.12/0.44 fof(f198,plain,(
% 0.12/0.44 strictly_less_than(sK7_skl,sK8_skl)|sQ8_spl),
% 0.12/0.44 inference(resolution,[status(thm)],[f197,f185])).
% 0.12/0.44 fof(f207,plain,(
% 0.12/0.44 pair_in_list(sK0_skl,sK7_skl,sK8_skl)|sK5_skl=sK7_skl|~sQ7_spl),
% 0.12/0.44 inference(resolution,[status(thm)],[f180,f66])).
% 0.12/0.44 fof(f208,definition,(
% 0.12/0.44 sQ9_spl <=> (pair_in_list(sK0_skl,sK7_skl,sK8_skl))),
% 0.12/0.44 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.12/0.44 fof(f209,plain,(
% 0.12/0.44 pair_in_list(sK0_skl,sK7_skl,sK8_skl)|~sQ9_spl),
% 0.12/0.44 inference(component_clause,[status(thm)],[f208])).
% 0.12/0.44 fof(f211,definition,(
% 0.12/0.44 sQ10_spl <=> (sK5_skl=sK7_skl)),
% 0.12/0.44 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.12/0.44 fof(f212,plain,(
% 0.12/0.44 sK5_skl=sK7_skl|~sQ10_spl),
% 0.12/0.44 inference(component_clause,[status(thm)],[f211])).
% 0.12/0.44 fof(f214,plain,(
% 0.12/0.44 sQ9_spl|sQ10_spl|~sQ7_spl),
% 0.12/0.44 inference(split_clause,[status(thm)],[f207,f208,f211,f179])).
% 0.12/0.44 fof(f215,plain,(
% 0.12/0.44 less_than(sK8_skl,sK7_skl)|~sQ9_spl|~sQ1_spl),
% 0.12/0.44 inference(resolution,[status(thm)],[f209,f158])).
% 0.12/0.44 fof(f216,plain,(
% 0.12/0.44 $false|sQ8_spl|~sQ9_spl|~sQ1_spl),
% 0.12/0.44 inference(forward_subsumption_resolution,[status(thm)],[f215,f185])).
% 0.12/0.44 fof(f217,plain,(
% 0.12/0.44 sQ8_spl|~sQ9_spl|~sQ1_spl),
% 0.12/0.44 inference(contradiction_clause,[status(thm)],[f216])).
% 0.12/0.44 fof(f237,plain,(
% 0.12/0.44 ![X0,X1,X2,X3]: (~less_than(X0,X1)|check_cpq(triple(X2,insert_slb(sK0_skl,pair(X1,X0)),X3))|~sQ2_spl)),
% 0.12/0.44 inference(resolution,[status(thm)],[f101,f162])).
% 0.12/0.44 fof(f250,plain,(
% 0.12/0.44 ~less_than(sK6_skl,sK5_skl)|sQ5_spl|~sQ2_spl),
% 0.12/0.44 inference(resolution,[status(thm)],[f174,f237])).
% 0.12/0.44 fof(f251,plain,(
% 0.12/0.44 less_than(sK6_skl,sK5_skl)|~sQ6_spl),
% 0.12/0.44 inference(resolution,[status(thm)],[f176,f188])).
% 0.12/0.44 fof(f256,plain,(
% 0.12/0.44 $false|sQ5_spl|~sQ2_spl|~sQ6_spl),
% 0.12/0.44 inference(forward_subsumption_resolution,[status(thm)],[f251,f250])).
% 0.12/0.44 fof(f257,plain,(
% 0.12/0.44 sQ5_spl|~sQ2_spl|~sQ6_spl),
% 0.12/0.44 inference(contradiction_clause,[status(thm)],[f256])).
% 0.12/0.44 fof(f285,plain,(
% 0.12/0.44 check_cpq(triple(sK3_skl,insert_slb(sK0_skl,pair(sK7_skl,sK6_skl)),sK4_skl))|~sQ10_spl|~sQ5_spl),
% 0.12/0.44 inference(forward_demodulation,[status(thm)],[f212,f173])).
% 0.12/0.44 fof(f291,definition,(
% 0.12/0.44 sQ13_spl <=> (check_cpq(triple(sK3_skl,sK0_skl,sK4_skl)))),
% 0.12/0.44 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.12/0.44 fof(f292,plain,(
% 0.12/0.44 check_cpq(triple(sK3_skl,sK0_skl,sK4_skl))|~sQ13_spl),
% 0.12/0.44 inference(component_clause,[status(thm)],[f291])).
% 0.12/0.44 fof(f325,definition,(
% 0.12/0.44 sQ14_spl <=> (sK6_skl=sK8_skl)),
% 0.12/0.44 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.12/0.45 fof(f326,plain,(
% 0.12/0.45 sK6_skl=sK8_skl|~sQ14_spl),
% 0.12/0.45 inference(component_clause,[status(thm)],[f325])).
% 0.12/0.45 fof(f341,plain,(
% 0.12/0.45 check_cpq(triple(sK3_skl,insert_slb(sK0_skl,pair(sK7_skl,sK8_skl)),sK4_skl))|~sQ14_spl|~sQ10_spl|~sQ5_spl),
% 0.12/0.45 inference(backward_demodulation,[status(thm)],[f326,f285])).
% 0.12/0.45 fof(f353,plain,(
% 0.12/0.45 ![X0,X1]: (pair_in_list(insert_slb(sK0_skl,pair(X0,X1)),sK1_skl,sK2_skl)|~sQ3_spl)),
% 0.12/0.45 inference(resolution,[status(thm)],[f165,f68])).
% 0.12/0.45 fof(f386,plain,(
% 0.12/0.45 ~strictly_less_than(sK7_skl,sK8_skl)|~sQ14_spl|~sQ10_spl|~sQ5_spl),
% 0.12/0.45 inference(resolution,[status(thm)],[f341,f106])).
% 0.12/0.45 fof(f389,plain,(
% 0.12/0.45 $false|sQ8_spl|~sQ14_spl|~sQ10_spl|~sQ5_spl),
% 0.12/0.45 inference(forward_subsumption_resolution,[status(thm)],[f386,f198])).
% 0.12/0.45 fof(f390,plain,(
% 0.12/0.45 sQ8_spl|~sQ14_spl|~sQ10_spl|~sQ5_spl),
% 0.12/0.45 inference(contradiction_clause,[status(thm)],[f389])).
% 0.12/0.45 fof(f476,plain,(
% 0.12/0.45 $false|~sQ0_spl|~sQ13_spl),
% 0.12/0.45 inference(forward_subsumption_resolution,[status(thm)],[f292,f155])).
% 0.12/0.45 fof(f477,plain,(
% 0.12/0.45 ~sQ0_spl|~sQ13_spl),
% 0.12/0.45 inference(contradiction_clause,[status(thm)],[f476])).
% 0.12/0.45 fof(f509,plain,(
% 0.12/0.45 pair_in_list(sK0_skl,sK7_skl,sK8_skl)|sK6_skl=sK8_skl|~sQ7_spl),
% 0.12/0.45 inference(resolution,[status(thm)],[f180,f67])).
% 0.12/0.45 fof(f513,plain,(
% 0.12/0.45 sQ9_spl|sQ14_spl|~sQ7_spl),
% 0.12/0.45 inference(split_clause,[status(thm)],[f509,f208,f325,f179])).
% 0.12/0.45 fof(f660,plain,(
% 0.12/0.45 less_than(sK2_skl,sK1_skl)|~sQ3_spl|~sQ6_spl),
% 0.12/0.45 inference(resolution,[status(thm)],[f353,f176])).
% 0.12/0.45 fof(f664,plain,(
% 0.12/0.45 sQ4_spl|~sQ3_spl|~sQ6_spl),
% 0.12/0.45 inference(split_clause,[status(thm)],[f660,f168,f164,f175])).
% 0.12/0.45 fof(f678,plain,(
% 0.12/0.45 ~less_than(sK6_skl,sK5_skl)|check_cpq(triple(sK3_skl,sK0_skl,sK4_skl))|~sQ5_spl),
% 0.12/0.45 inference(resolution,[status(thm)],[f173,f100])).
% 0.12/0.45 fof(f679,plain,(
% 0.12/0.45 ~strictly_less_than(sK5_skl,sK6_skl)|~sQ5_spl),
% 0.12/0.45 inference(resolution,[status(thm)],[f173,f106])).
% 0.12/0.45 fof(f681,definition,(
% 0.12/0.45 sQ26_spl <=> (less_than(sK6_skl,sK5_skl))),
% 0.12/0.45 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.12/0.45 fof(f683,plain,(
% 0.12/0.45 ~less_than(sK6_skl,sK5_skl)|sQ26_spl),
% 0.12/0.45 inference(component_clause,[status(thm)],[f681])).
% 0.12/0.45 fof(f684,plain,(
% 0.12/0.45 ~sQ26_spl|sQ13_spl|~sQ5_spl),
% 0.12/0.45 inference(split_clause,[status(thm)],[f678,f681,f291,f172])).
% 0.12/0.45 fof(f690,plain,(
% 0.12/0.45 strictly_less_than(sK5_skl,sK6_skl)|sQ26_spl),
% 0.12/0.45 inference(resolution,[status(thm)],[f683,f197])).
% 0.12/0.45 fof(f691,plain,(
% 0.12/0.45 $false|~sQ5_spl|sQ26_spl),
% 0.12/0.45 inference(forward_subsumption_resolution,[status(thm)],[f690,f679])).
% 0.12/0.45 fof(f692,plain,(
% 0.12/0.45 ~sQ5_spl|sQ26_spl),
% 0.12/0.45 inference(contradiction_clause,[status(thm)],[f691])).
% 0.12/0.45 fof(f693,plain,(
% 0.12/0.45 $false),
% 0.12/0.45 inference(sat_refutation,[status(thm)],[f160,f167,f171,f178,f182,f186,f214,f217,f257,f390,f477,f513,f664,f684,f692])).
% 0.12/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.47 % Elapsed time: 0.109689 seconds
% 0.12/0.47 % CPU time: 0.500759 seconds
% 0.12/0.47 % Total memory used: 109.250 MB
% 0.12/0.47 % Net memory used: 108.554 MB
%------------------------------------------------------------------------------