TSTP Solution File: SWV406+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWV406+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.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 20:46:56 EDT 2024

% Result   : Theorem 0.15s 0.37s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWV406+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35  % Computer : n029.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue Apr 30 01:05:35 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.15/0.36  % Drodi V3.6.0
% 0.15/0.37  % Refutation found
% 0.15/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.37  % SZS output start CNFRefutation for theBenchmark
% 0.15/0.37  fof(f2,axiom,(
% 0.15/0.37    (! [U,V] :( less_than(U,V)| less_than(V,U) ) )),
% 0.15/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37  fof(f4,axiom,(
% 0.15/0.37    (! [U,V] :( strictly_less_than(U,V)<=> ( less_than(U,V)& ~ less_than(V,U) ) ) )),
% 0.15/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37  fof(f11,axiom,(
% 0.15/0.37    (! [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 ) ) ) )),
% 0.15/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37  fof(f24,axiom,(
% 0.15/0.37    (! [U,V] : check_cpq(triple(U,create_slb,V)) )),
% 0.15/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37  fof(f25,axiom,(
% 0.15/0.37    (! [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)) ) ) )),
% 0.15/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37  fof(f26,axiom,(
% 0.15/0.37    (! [U,V,W,X,Y] :( strictly_less_than(X,Y)=> ( check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))<=> $false ) ) )),
% 0.15/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37  fof(f42,conjecture,(
% 0.15/0.37    (! [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) ) )) )) )),
% 0.15/0.37    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.37  fof(f43,negated_conjecture,(
% 0.15/0.37    ~((! [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) ) )) )) ))),
% 0.15/0.37    inference(negated_conjecture,[status(cth)],[f42])).
% 0.15/0.37  fof(f47,plain,(
% 0.15/0.37    ![X0,X1]: (less_than(X0,X1)|less_than(X1,X0))),
% 0.15/0.37    inference(cnf_transformation,[status(esa)],[f2])).
% 0.15/0.37  fof(f49,plain,(
% 0.15/0.37    ![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))))),
% 0.15/0.37    inference(NNF_transformation,[status(esa)],[f4])).
% 0.15/0.37  fof(f50,plain,(
% 0.15/0.37    (![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))))),
% 0.15/0.37    inference(miniscoping,[status(esa)],[f49])).
% 0.15/0.37  fof(f53,plain,(
% 0.15/0.37    ![X0,X1]: (strictly_less_than(X0,X1)|~less_than(X0,X1)|less_than(X1,X0))),
% 0.15/0.37    inference(cnf_transformation,[status(esa)],[f50])).
% 0.15/0.37  fof(f64,plain,(
% 0.15/0.37    ![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))))),
% 0.15/0.37    inference(NNF_transformation,[status(esa)],[f11])).
% 0.15/0.37  fof(f65,plain,(
% 0.15/0.37    (![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))))),
% 0.15/0.37    inference(miniscoping,[status(esa)],[f64])).
% 0.15/0.37  fof(f66,plain,(
% 0.15/0.37    ![X0,X1,X2,X3,X4]: (~pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4)|pair_in_list(X0,X3,X4)|X1=X3)),
% 0.15/0.37    inference(cnf_transformation,[status(esa)],[f65])).
% 0.15/0.37  fof(f67,plain,(
% 0.15/0.37    ![X0,X1,X2,X3,X4]: (~pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4)|pair_in_list(X0,X3,X4)|X2=X4)),
% 0.15/0.37    inference(cnf_transformation,[status(esa)],[f65])).
% 0.15/0.37  fof(f68,plain,(
% 0.15/0.37    ![X0,X1,X2,X3,X4]: (pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4)|~pair_in_list(X0,X3,X4))),
% 0.15/0.37    inference(cnf_transformation,[status(esa)],[f65])).
% 0.15/0.37  fof(f69,plain,(
% 0.15/0.37    ![X0,X1,X2,X3,X4]: (pair_in_list(insert_slb(X0,pair(X1,X2)),X3,X4)|~X1=X3|~X2=X4)),
% 0.15/0.37    inference(cnf_transformation,[status(esa)],[f65])).
% 0.15/0.37  fof(f96,plain,(
% 0.15/0.37    ![X0,X1]: (check_cpq(triple(X0,create_slb,X1)))),
% 0.15/0.37    inference(cnf_transformation,[status(esa)],[f24])).
% 0.15/0.37  fof(f97,plain,(
% 0.15/0.37    ![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))))),
% 0.15/0.37    inference(pre_NNF_transformation,[status(esa)],[f25])).
% 0.15/0.37  fof(f98,plain,(
% 0.15/0.37    ![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)))))),
% 0.15/0.38    inference(NNF_transformation,[status(esa)],[f97])).
% 0.15/0.38  fof(f99,plain,(
% 0.15/0.38    ![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))))))),
% 0.15/0.38    inference(miniscoping,[status(esa)],[f98])).
% 0.15/0.38  fof(f100,plain,(
% 0.15/0.38    ![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)))),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f99])).
% 0.15/0.38  fof(f101,plain,(
% 0.15/0.38    ![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)))),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f99])).
% 0.15/0.38  fof(f102,plain,(
% 0.15/0.38    ![U,V,W,X,Y]: (~strictly_less_than(X,Y)|(check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))<=>$false))),
% 0.15/0.38    inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.15/0.38  fof(f103,plain,(
% 0.15/0.38    ![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)))),
% 0.15/0.38    inference(NNF_transformation,[status(esa)],[f102])).
% 0.15/0.38  fof(f104,plain,(
% 0.15/0.38    ![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)))),
% 0.15/0.38    inference(miniscoping,[status(esa)],[f103])).
% 0.15/0.38  fof(f105,plain,(
% 0.15/0.38    ![X,Y]: (~strictly_less_than(X,Y)|(![U,V,W]: ~check_cpq(triple(U,insert_slb(V,pair(X,Y)),W))))),
% 0.15/0.38    inference($true_and_$false_simplification,[status(esa)],[f104])).
% 0.15/0.38  fof(f106,plain,(
% 0.15/0.38    ![X0,X1,X2,X3,X4]: (~strictly_less_than(X0,X1)|~check_cpq(triple(X2,insert_slb(X3,pair(X0,X1)),X4)))),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f105])).
% 0.15/0.38  fof(f144,plain,(
% 0.15/0.38    (?[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)))))))),
% 0.15/0.38    inference(pre_NNF_transformation,[status(esa)],[f43])).
% 0.15/0.38  fof(f145,plain,(
% 0.15/0.38    ?[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)))))))),
% 0.15/0.38    inference(NNF_transformation,[status(esa)],[f144])).
% 0.15/0.38  fof(f146,plain,(
% 0.15/0.38    ?[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)))))))),
% 0.15/0.38    inference(miniscoping,[status(esa)],[f145])).
% 0.15/0.38  fof(f147,plain,(
% 0.15/0.38    ((((![V,W]: ~check_cpq(triple(V,sk0_0,W)))|(![X,Y]: (~pair_in_list(sk0_0,X,Y)|less_than(Y,X))))&((![V,W]: check_cpq(triple(V,sk0_0,W)))|(pair_in_list(sk0_0,sk0_1,sk0_2)&~less_than(sk0_2,sk0_1))))&((check_cpq(triple(sk0_3,insert_slb(sk0_0,pair(sk0_5,sk0_6)),sk0_4))|(![X4,X5]: (~pair_in_list(insert_slb(sk0_0,pair(sk0_5,sk0_6)),X4,X5)|less_than(X5,X4))))&(~check_cpq(triple(sk0_3,insert_slb(sk0_0,pair(sk0_5,sk0_6)),sk0_4))|(pair_in_list(insert_slb(sk0_0,pair(sk0_5,sk0_6)),sk0_7,sk0_8)&~less_than(sk0_8,sk0_7)))))),
% 0.15/0.38    inference(skolemization,[status(esa)],[f146])).
% 0.15/0.38  fof(f148,plain,(
% 0.15/0.38    ![X0,X1,X2,X3]: (~check_cpq(triple(X0,sk0_0,X1))|~pair_in_list(sk0_0,X2,X3)|less_than(X3,X2))),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f147])).
% 0.15/0.38  fof(f149,plain,(
% 0.15/0.38    ![X0,X1]: (check_cpq(triple(X0,sk0_0,X1))|pair_in_list(sk0_0,sk0_1,sk0_2))),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f147])).
% 0.15/0.38  fof(f150,plain,(
% 0.15/0.38    ![X0,X1]: (check_cpq(triple(X0,sk0_0,X1))|~less_than(sk0_2,sk0_1))),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f147])).
% 0.15/0.38  fof(f151,plain,(
% 0.15/0.38    ![X0,X1]: (check_cpq(triple(sk0_3,insert_slb(sk0_0,pair(sk0_5,sk0_6)),sk0_4))|~pair_in_list(insert_slb(sk0_0,pair(sk0_5,sk0_6)),X0,X1)|less_than(X1,X0))),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f147])).
% 0.15/0.38  fof(f152,plain,(
% 0.15/0.38    ~check_cpq(triple(sk0_3,insert_slb(sk0_0,pair(sk0_5,sk0_6)),sk0_4))|pair_in_list(insert_slb(sk0_0,pair(sk0_5,sk0_6)),sk0_7,sk0_8)),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f147])).
% 0.15/0.38  fof(f153,plain,(
% 0.15/0.38    ~check_cpq(triple(sk0_3,insert_slb(sk0_0,pair(sk0_5,sk0_6)),sk0_4))|~less_than(sk0_8,sk0_7)),
% 0.15/0.38    inference(cnf_transformation,[status(esa)],[f147])).
% 0.15/0.38  fof(f154,plain,(
% 0.15/0.38    spl0_0 <=> ~check_cpq(triple(X0,sk0_0,X1))),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f155,plain,(
% 0.15/0.38    ![X0,X1]: (~check_cpq(triple(X0,sk0_0,X1))|~spl0_0)),
% 0.15/0.38    inference(component_clause,[status(thm)],[f154])).
% 0.15/0.38  fof(f157,plain,(
% 0.15/0.38    spl0_1 <=> ~pair_in_list(sk0_0,X2,X3)|less_than(X3,X2)),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f158,plain,(
% 0.15/0.38    ![X0,X1]: (~pair_in_list(sk0_0,X0,X1)|less_than(X1,X0)|~spl0_1)),
% 0.15/0.38    inference(component_clause,[status(thm)],[f157])).
% 0.15/0.38  fof(f160,plain,(
% 0.15/0.38    spl0_0|spl0_1),
% 0.15/0.38    inference(split_clause,[status(thm)],[f148,f154,f157])).
% 0.15/0.38  fof(f161,plain,(
% 0.15/0.38    spl0_2 <=> check_cpq(triple(X0,sk0_0,X1))),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f162,plain,(
% 0.15/0.38    ![X0,X1]: (check_cpq(triple(X0,sk0_0,X1))|~spl0_2)),
% 0.15/0.38    inference(component_clause,[status(thm)],[f161])).
% 0.15/0.38  fof(f164,plain,(
% 0.15/0.38    spl0_3 <=> pair_in_list(sk0_0,sk0_1,sk0_2)),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f165,plain,(
% 0.15/0.38    pair_in_list(sk0_0,sk0_1,sk0_2)|~spl0_3),
% 0.15/0.38    inference(component_clause,[status(thm)],[f164])).
% 0.15/0.38  fof(f167,plain,(
% 0.15/0.38    spl0_2|spl0_3),
% 0.15/0.38    inference(split_clause,[status(thm)],[f149,f161,f164])).
% 0.15/0.38  fof(f168,plain,(
% 0.15/0.38    spl0_4 <=> less_than(sk0_2,sk0_1)),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f170,plain,(
% 0.15/0.38    ~less_than(sk0_2,sk0_1)|spl0_4),
% 0.15/0.38    inference(component_clause,[status(thm)],[f168])).
% 0.15/0.38  fof(f171,plain,(
% 0.15/0.38    spl0_2|~spl0_4),
% 0.15/0.38    inference(split_clause,[status(thm)],[f150,f161,f168])).
% 0.15/0.38  fof(f172,plain,(
% 0.15/0.38    spl0_5 <=> check_cpq(triple(sk0_3,insert_slb(sk0_0,pair(sk0_5,sk0_6)),sk0_4))),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f173,plain,(
% 0.15/0.38    check_cpq(triple(sk0_3,insert_slb(sk0_0,pair(sk0_5,sk0_6)),sk0_4))|~spl0_5),
% 0.15/0.38    inference(component_clause,[status(thm)],[f172])).
% 0.15/0.38  fof(f174,plain,(
% 0.15/0.38    ~check_cpq(triple(sk0_3,insert_slb(sk0_0,pair(sk0_5,sk0_6)),sk0_4))|spl0_5),
% 0.15/0.38    inference(component_clause,[status(thm)],[f172])).
% 0.15/0.38  fof(f175,plain,(
% 0.15/0.38    spl0_6 <=> ~pair_in_list(insert_slb(sk0_0,pair(sk0_5,sk0_6)),X0,X1)|less_than(X1,X0)),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f176,plain,(
% 0.15/0.38    ![X0,X1]: (~pair_in_list(insert_slb(sk0_0,pair(sk0_5,sk0_6)),X0,X1)|less_than(X1,X0)|~spl0_6)),
% 0.15/0.38    inference(component_clause,[status(thm)],[f175])).
% 0.15/0.38  fof(f178,plain,(
% 0.15/0.38    spl0_5|spl0_6),
% 0.15/0.38    inference(split_clause,[status(thm)],[f151,f172,f175])).
% 0.15/0.38  fof(f179,plain,(
% 0.15/0.38    spl0_7 <=> pair_in_list(insert_slb(sk0_0,pair(sk0_5,sk0_6)),sk0_7,sk0_8)),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f180,plain,(
% 0.15/0.38    pair_in_list(insert_slb(sk0_0,pair(sk0_5,sk0_6)),sk0_7,sk0_8)|~spl0_7),
% 0.15/0.38    inference(component_clause,[status(thm)],[f179])).
% 0.15/0.38  fof(f182,plain,(
% 0.15/0.38    ~spl0_5|spl0_7),
% 0.15/0.38    inference(split_clause,[status(thm)],[f152,f172,f179])).
% 0.15/0.38  fof(f183,plain,(
% 0.15/0.38    spl0_8 <=> less_than(sk0_8,sk0_7)),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f185,plain,(
% 0.15/0.38    ~less_than(sk0_8,sk0_7)|spl0_8),
% 0.15/0.38    inference(component_clause,[status(thm)],[f183])).
% 0.15/0.38  fof(f186,plain,(
% 0.15/0.38    ~spl0_5|~spl0_8),
% 0.15/0.38    inference(split_clause,[status(thm)],[f153,f172,f183])).
% 0.15/0.38  fof(f188,plain,(
% 0.15/0.38    ![X0,X1,X2]: (pair_in_list(insert_slb(X0,pair(X1,X2)),X1,X2))),
% 0.15/0.38    inference(destructive_equality_resolution,[status(esa)],[f69])).
% 0.15/0.38  fof(f189,plain,(
% 0.15/0.38    ![X0,X1,X2,X3]: (~less_than(X0,X1)|check_cpq(triple(X2,insert_slb(create_slb,pair(X1,X0)),X3)))),
% 0.15/0.38    inference(resolution,[status(thm)],[f101,f96])).
% 0.15/0.38  fof(f190,plain,(
% 0.15/0.38    spl0_9 <=> ~less_than(X0,X1)|~less_than(X0,X1)),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f191,plain,(
% 0.15/0.38    ![X0,X1]: (~less_than(X0,X1)|~less_than(X0,X1)|~spl0_9)),
% 0.15/0.38    inference(component_clause,[status(thm)],[f190])).
% 0.15/0.38  fof(f193,plain,(
% 0.15/0.38    spl0_10 <=> check_cpq(triple(X2,create_slb,X3))),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f196,plain,(
% 0.15/0.38    ![X0,X1,X2,X3]: (~less_than(X0,X1)|~less_than(X0,X1)|check_cpq(triple(X2,create_slb,X3)))),
% 0.15/0.38    inference(resolution,[status(thm)],[f189,f100])).
% 0.15/0.38  fof(f197,plain,(
% 0.15/0.38    spl0_9|spl0_10),
% 0.15/0.38    inference(split_clause,[status(thm)],[f196,f190,f193])).
% 0.15/0.38  fof(f198,plain,(
% 0.15/0.38    ![X0,X1,X2,X3,X4,X5]: (~less_than(X0,X1)|~less_than(X2,X3)|check_cpq(triple(X4,insert_slb(insert_slb(create_slb,pair(X1,X0)),pair(X3,X2)),X5)))),
% 0.15/0.38    inference(resolution,[status(thm)],[f189,f101])).
% 0.15/0.38  fof(f199,plain,(
% 0.15/0.38    ![X0,X1]: (~less_than(X0,X1)|~spl0_9)),
% 0.15/0.38    inference(duplicate_literals_removal,[status(esa)],[f191])).
% 0.15/0.38  fof(f200,plain,(
% 0.15/0.38    spl0_11 <=> ~less_than(X0,X1)|check_cpq(triple(X4,insert_slb(create_slb,pair(X1,X0)),X5))),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f203,plain,(
% 0.15/0.38    ![X0,X1,X2,X3,X4,X5]: (~less_than(X0,X1)|~less_than(X2,X3)|~less_than(X2,X3)|check_cpq(triple(X4,insert_slb(create_slb,pair(X1,X0)),X5)))),
% 0.15/0.38    inference(resolution,[status(thm)],[f198,f100])).
% 0.15/0.38  fof(f204,plain,(
% 0.15/0.38    spl0_11|spl0_9),
% 0.15/0.38    inference(split_clause,[status(thm)],[f203,f200,f190])).
% 0.15/0.38  fof(f205,plain,(
% 0.15/0.38    ![X0,X1,X2,X3,X4,X5,X6,X7]: (~less_than(X0,X1)|~less_than(X2,X3)|~less_than(X4,X5)|check_cpq(triple(X6,insert_slb(insert_slb(insert_slb(create_slb,pair(X1,X0)),pair(X3,X2)),pair(X5,X4)),X7)))),
% 0.15/0.38    inference(resolution,[status(thm)],[f198,f101])).
% 0.15/0.38  fof(f206,plain,(
% 0.15/0.38    spl0_12 <=> ~less_than(X0,X1)|~less_than(X2,X3)|check_cpq(triple(X6,insert_slb(insert_slb(create_slb,pair(X1,X0)),pair(X3,X2)),X7))),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f209,plain,(
% 0.15/0.38    ![X0,X1,X2,X3,X4,X5,X6,X7]: (~less_than(X0,X1)|~less_than(X2,X3)|~less_than(X4,X5)|~less_than(X4,X5)|check_cpq(triple(X6,insert_slb(insert_slb(create_slb,pair(X1,X0)),pair(X3,X2)),X7)))),
% 0.15/0.38    inference(resolution,[status(thm)],[f205,f100])).
% 0.15/0.38  fof(f210,plain,(
% 0.15/0.38    spl0_12|spl0_9),
% 0.15/0.38    inference(split_clause,[status(thm)],[f209,f206,f190])).
% 0.15/0.38  fof(f211,plain,(
% 0.15/0.38    ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~less_than(X0,X1)|~less_than(X2,X3)|~less_than(X4,X5)|~less_than(X6,X7)|check_cpq(triple(X8,insert_slb(insert_slb(insert_slb(insert_slb(create_slb,pair(X1,X0)),pair(X3,X2)),pair(X5,X4)),pair(X7,X6)),X9)))),
% 0.15/0.38    inference(resolution,[status(thm)],[f205,f101])).
% 0.15/0.38  fof(f212,plain,(
% 0.15/0.38    spl0_13 <=> ~less_than(X0,X1)|~less_than(X2,X3)|~less_than(X4,X5)|check_cpq(triple(X8,insert_slb(insert_slb(insert_slb(create_slb,pair(X1,X0)),pair(X3,X2)),pair(X5,X4)),X9))),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f215,plain,(
% 0.15/0.38    ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9]: (~less_than(X0,X1)|~less_than(X2,X3)|~less_than(X4,X5)|~less_than(X6,X7)|~less_than(X6,X7)|check_cpq(triple(X8,insert_slb(insert_slb(insert_slb(create_slb,pair(X1,X0)),pair(X3,X2)),pair(X5,X4)),X9)))),
% 0.15/0.38    inference(resolution,[status(thm)],[f211,f100])).
% 0.15/0.38  fof(f216,plain,(
% 0.15/0.38    spl0_13|spl0_9),
% 0.15/0.38    inference(split_clause,[status(thm)],[f215,f212,f190])).
% 0.15/0.38  fof(f217,plain,(
% 0.15/0.38    ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (~less_than(X0,X1)|~less_than(X2,X3)|~less_than(X4,X5)|~less_than(X6,X7)|~less_than(X8,X9)|check_cpq(triple(X10,insert_slb(insert_slb(insert_slb(insert_slb(insert_slb(create_slb,pair(X1,X0)),pair(X3,X2)),pair(X5,X4)),pair(X7,X6)),pair(X9,X8)),X11)))),
% 0.15/0.38    inference(resolution,[status(thm)],[f211,f101])).
% 0.15/0.38  fof(f218,plain,(
% 0.15/0.38    spl0_14 <=> ~less_than(X0,X1)|~less_than(X2,X3)|~less_than(X4,X5)|~less_than(X6,X7)|check_cpq(triple(X10,insert_slb(insert_slb(insert_slb(insert_slb(create_slb,pair(X1,X0)),pair(X3,X2)),pair(X5,X4)),pair(X7,X6)),X11))),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f221,plain,(
% 0.15/0.38    ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (~less_than(X0,X1)|~less_than(X2,X3)|~less_than(X4,X5)|~less_than(X6,X7)|~less_than(X8,X9)|~less_than(X8,X9)|check_cpq(triple(X10,insert_slb(insert_slb(insert_slb(insert_slb(create_slb,pair(X1,X0)),pair(X3,X2)),pair(X5,X4)),pair(X7,X6)),X11)))),
% 0.15/0.38    inference(resolution,[status(thm)],[f217,f100])).
% 0.15/0.38  fof(f222,plain,(
% 0.15/0.38    spl0_14|spl0_9),
% 0.15/0.38    inference(split_clause,[status(thm)],[f221,f218,f190])).
% 0.15/0.38  fof(f223,plain,(
% 0.15/0.38    ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13]: (~less_than(X0,X1)|~less_than(X2,X3)|~less_than(X4,X5)|~less_than(X6,X7)|~less_than(X8,X9)|~less_than(X10,X11)|check_cpq(triple(X12,insert_slb(insert_slb(insert_slb(insert_slb(insert_slb(insert_slb(create_slb,pair(X1,X0)),pair(X3,X2)),pair(X5,X4)),pair(X7,X6)),pair(X9,X8)),pair(X11,X10)),X13)))),
% 0.15/0.38    inference(resolution,[status(thm)],[f217,f101])).
% 0.15/0.38  fof(f224,plain,(
% 0.15/0.38    spl0_15 <=> ~less_than(X0,X1)|~less_than(X2,X3)|~less_than(X4,X5)|~less_than(X6,X7)|~less_than(X8,X9)|check_cpq(triple(X12,insert_slb(insert_slb(insert_slb(insert_slb(insert_slb(create_slb,pair(X1,X0)),pair(X3,X2)),pair(X5,X4)),pair(X7,X6)),pair(X9,X8)),X13))),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f227,plain,(
% 0.15/0.38    ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13]: (~less_than(X0,X1)|~less_than(X2,X3)|~less_than(X4,X5)|~less_than(X6,X7)|~less_than(X8,X9)|~less_than(X10,X11)|~less_than(X10,X11)|check_cpq(triple(X12,insert_slb(insert_slb(insert_slb(insert_slb(insert_slb(create_slb,pair(X1,X0)),pair(X3,X2)),pair(X5,X4)),pair(X7,X6)),pair(X9,X8)),X13)))),
% 0.15/0.38    inference(resolution,[status(thm)],[f223,f100])).
% 0.15/0.38  fof(f228,plain,(
% 0.15/0.38    spl0_15|spl0_9),
% 0.15/0.38    inference(split_clause,[status(thm)],[f227,f224,f190])).
% 0.15/0.38  fof(f229,plain,(
% 0.15/0.38    ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15]: (~less_than(X0,X1)|~less_than(X2,X3)|~less_than(X4,X5)|~less_than(X6,X7)|~less_than(X8,X9)|~less_than(X10,X11)|~less_than(X12,X13)|check_cpq(triple(X14,insert_slb(insert_slb(insert_slb(insert_slb(insert_slb(insert_slb(insert_slb(create_slb,pair(X1,X0)),pair(X3,X2)),pair(X5,X4)),pair(X7,X6)),pair(X9,X8)),pair(X11,X10)),pair(X13,X12)),X15)))),
% 0.15/0.38    inference(resolution,[status(thm)],[f223,f101])).
% 0.15/0.38  fof(f230,plain,(
% 0.15/0.38    spl0_16 <=> ~less_than(X0,X1)|~less_than(X2,X3)|~less_than(X4,X5)|~less_than(X6,X7)|~less_than(X8,X9)|~less_than(X10,X11)|check_cpq(triple(X14,insert_slb(insert_slb(insert_slb(insert_slb(insert_slb(insert_slb(create_slb,pair(X1,X0)),pair(X3,X2)),pair(X5,X4)),pair(X7,X6)),pair(X9,X8)),pair(X11,X10)),X15))),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f233,plain,(
% 0.15/0.38    ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15]: (~less_than(X0,X1)|~less_than(X2,X3)|~less_than(X4,X5)|~less_than(X6,X7)|~less_than(X8,X9)|~less_than(X10,X11)|~less_than(X12,X13)|~less_than(X12,X13)|check_cpq(triple(X14,insert_slb(insert_slb(insert_slb(insert_slb(insert_slb(insert_slb(create_slb,pair(X1,X0)),pair(X3,X2)),pair(X5,X4)),pair(X7,X6)),pair(X9,X8)),pair(X11,X10)),X15)))),
% 0.15/0.38    inference(resolution,[status(thm)],[f229,f100])).
% 0.15/0.38  fof(f234,plain,(
% 0.15/0.38    spl0_16|spl0_9),
% 0.15/0.38    inference(split_clause,[status(thm)],[f233,f230,f190])).
% 0.15/0.38  fof(f235,plain,(
% 0.15/0.38    ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17]: (~less_than(X0,X1)|~less_than(X2,X3)|~less_than(X4,X5)|~less_than(X6,X7)|~less_than(X8,X9)|~less_than(X10,X11)|~less_than(X12,X13)|~less_than(X14,X15)|check_cpq(triple(X16,insert_slb(insert_slb(insert_slb(insert_slb(insert_slb(insert_slb(insert_slb(insert_slb(create_slb,pair(X1,X0)),pair(X3,X2)),pair(X5,X4)),pair(X7,X6)),pair(X9,X8)),pair(X11,X10)),pair(X13,X12)),pair(X15,X14)),X17)))),
% 0.15/0.38    inference(resolution,[status(thm)],[f229,f101])).
% 0.15/0.38  fof(f236,plain,(
% 0.15/0.38    ![X0,X1]: (strictly_less_than(X0,X1)|less_than(X1,X0))),
% 0.15/0.38    inference(forward_subsumption_resolution,[status(thm)],[f53,f47])).
% 0.15/0.38  fof(f239,plain,(
% 0.15/0.38    less_than(sk0_1,sk0_2)|spl0_4),
% 0.15/0.38    inference(resolution,[status(thm)],[f170,f47])).
% 0.15/0.38  fof(f244,plain,(
% 0.15/0.38    ![X0,X1,X2,X3]: (~less_than(X0,X1)|check_cpq(triple(X2,insert_slb(sk0_0,pair(X1,X0)),X3))|~spl0_2)),
% 0.15/0.38    inference(resolution,[status(thm)],[f162,f101])).
% 0.15/0.38  fof(f249,plain,(
% 0.15/0.38    $false|~spl0_2|~spl0_0),
% 0.15/0.38    inference(forward_subsumption_resolution,[status(thm)],[f155,f162])).
% 0.15/0.38  fof(f250,plain,(
% 0.15/0.38    ~spl0_2|~spl0_0),
% 0.15/0.38    inference(contradiction_clause,[status(thm)],[f249])).
% 0.15/0.38  fof(f251,plain,(
% 0.15/0.38    $false|~spl0_9|spl0_4),
% 0.15/0.38    inference(backward_subsumption_resolution,[status(thm)],[f239,f199])).
% 0.15/0.38  fof(f252,plain,(
% 0.15/0.38    ~spl0_9|spl0_4),
% 0.15/0.38    inference(contradiction_clause,[status(thm)],[f251])).
% 0.15/0.38  fof(f253,plain,(
% 0.15/0.38    less_than(sk0_6,sk0_5)|~spl0_6),
% 0.15/0.38    inference(resolution,[status(thm)],[f176,f188])).
% 0.15/0.38  fof(f254,plain,(
% 0.15/0.38    ![X0,X1]: (check_cpq(triple(X0,insert_slb(sk0_0,pair(sk0_5,sk0_6)),X1))|~spl0_6|~spl0_2)),
% 0.15/0.38    inference(resolution,[status(thm)],[f253,f244])).
% 0.15/0.38  fof(f255,plain,(
% 0.15/0.38    $false|~spl0_6|~spl0_2|spl0_5),
% 0.15/0.38    inference(backward_subsumption_resolution,[status(thm)],[f174,f254])).
% 0.15/0.38  fof(f256,plain,(
% 0.15/0.38    ~spl0_6|~spl0_2|spl0_5),
% 0.15/0.38    inference(contradiction_clause,[status(thm)],[f255])).
% 0.15/0.38  fof(f257,plain,(
% 0.15/0.38    less_than(sk0_2,sk0_1)|~spl0_3|~spl0_1),
% 0.15/0.38    inference(resolution,[status(thm)],[f165,f158])).
% 0.15/0.38  fof(f258,plain,(
% 0.15/0.38    $false|spl0_4|~spl0_3|~spl0_1),
% 0.15/0.38    inference(forward_subsumption_resolution,[status(thm)],[f257,f170])).
% 0.15/0.38  fof(f259,plain,(
% 0.15/0.38    spl0_4|~spl0_3|~spl0_1),
% 0.15/0.38    inference(contradiction_clause,[status(thm)],[f258])).
% 0.15/0.38  fof(f260,plain,(
% 0.15/0.38    ![X0,X1]: (less_than(X0,X1)|~pair_in_list(sk0_0,X1,X0)|~spl0_6)),
% 0.15/0.38    inference(resolution,[status(thm)],[f176,f68])).
% 0.15/0.38  fof(f261,plain,(
% 0.15/0.38    spl0_1|~spl0_6),
% 0.15/0.38    inference(split_clause,[status(thm)],[f260,f157,f175])).
% 0.15/0.38  fof(f262,plain,(
% 0.15/0.38    spl0_17 <=> pair_in_list(sk0_0,sk0_7,sk0_8)),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f263,plain,(
% 0.15/0.38    pair_in_list(sk0_0,sk0_7,sk0_8)|~spl0_17),
% 0.15/0.38    inference(component_clause,[status(thm)],[f262])).
% 0.15/0.38  fof(f265,plain,(
% 0.15/0.38    spl0_18 <=> sk0_6=sk0_8),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f266,plain,(
% 0.15/0.38    sk0_6=sk0_8|~spl0_18),
% 0.15/0.38    inference(component_clause,[status(thm)],[f265])).
% 0.15/0.38  fof(f268,plain,(
% 0.15/0.38    pair_in_list(sk0_0,sk0_7,sk0_8)|sk0_6=sk0_8|~spl0_7),
% 0.15/0.38    inference(resolution,[status(thm)],[f180,f67])).
% 0.15/0.38  fof(f269,plain,(
% 0.15/0.38    spl0_17|spl0_18|~spl0_7),
% 0.15/0.38    inference(split_clause,[status(thm)],[f268,f262,f265,f179])).
% 0.15/0.38  fof(f270,plain,(
% 0.15/0.38    spl0_19 <=> sk0_5=sk0_7),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f271,plain,(
% 0.15/0.38    sk0_5=sk0_7|~spl0_19),
% 0.15/0.38    inference(component_clause,[status(thm)],[f270])).
% 0.15/0.38  fof(f273,plain,(
% 0.15/0.38    pair_in_list(sk0_0,sk0_7,sk0_8)|sk0_5=sk0_7|~spl0_7),
% 0.15/0.38    inference(resolution,[status(thm)],[f180,f66])).
% 0.15/0.38  fof(f274,plain,(
% 0.15/0.38    spl0_17|spl0_19|~spl0_7),
% 0.15/0.38    inference(split_clause,[status(thm)],[f273,f262,f270,f179])).
% 0.15/0.38  fof(f275,plain,(
% 0.15/0.38    less_than(sk0_8,sk0_7)|~spl0_17|~spl0_1),
% 0.15/0.38    inference(resolution,[status(thm)],[f263,f158])).
% 0.15/0.38  fof(f276,plain,(
% 0.15/0.38    spl0_8|~spl0_17|~spl0_1),
% 0.15/0.38    inference(split_clause,[status(thm)],[f275,f183,f262,f157])).
% 0.15/0.38  fof(f279,plain,(
% 0.15/0.38    ~less_than(sk0_6,sk0_7)|~spl0_18|spl0_8),
% 0.15/0.38    inference(backward_demodulation,[status(thm)],[f266,f185])).
% 0.15/0.38  fof(f303,plain,(
% 0.15/0.38    spl0_24 <=> check_cpq(triple(X2,X3,X4))|~check_cpq(triple(X2,X3,X4))),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f306,plain,(
% 0.15/0.38    ![X0,X1,X2,X3,X4]: (~less_than(X0,X1)|check_cpq(triple(X2,X3,X4))|~less_than(X0,X1)|~check_cpq(triple(X2,X3,X4)))),
% 0.15/0.38    inference(resolution,[status(thm)],[f100,f101])).
% 0.15/0.38  fof(f307,plain,(
% 0.15/0.38    spl0_9|spl0_24),
% 0.15/0.38    inference(split_clause,[status(thm)],[f306,f190,f303])).
% 0.15/0.38  fof(f320,plain,(
% 0.15/0.38    spl0_25 <=> ~less_than(X0,X1)|~less_than(X2,X3)|~less_than(X4,X5)|~less_than(X6,X7)|~less_than(X8,X9)|~less_than(X10,X11)|~less_than(X12,X13)|check_cpq(triple(X16,insert_slb(insert_slb(insert_slb(insert_slb(insert_slb(insert_slb(insert_slb(create_slb,pair(X1,X0)),pair(X3,X2)),pair(X5,X4)),pair(X7,X6)),pair(X9,X8)),pair(X11,X10)),pair(X13,X12)),X17))),
% 0.15/0.38    introduced(split_symbol_definition)).
% 0.15/0.38  fof(f323,plain,(
% 0.15/0.38    ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17]: (~less_than(X0,X1)|~less_than(X2,X3)|~less_than(X4,X5)|~less_than(X6,X7)|~less_than(X8,X9)|~less_than(X10,X11)|~less_than(X12,X13)|~less_than(X14,X15)|~less_than(X14,X15)|check_cpq(triple(X16,insert_slb(insert_slb(insert_slb(insert_slb(insert_slb(insert_slb(insert_slb(create_slb,pair(X1,X0)),pair(X3,X2)),pair(X5,X4)),pair(X7,X6)),pair(X9,X8)),pair(X11,X10)),pair(X13,X12)),X17)))),
% 0.15/0.38    inference(resolution,[status(thm)],[f235,f100])).
% 0.15/0.38  fof(f324,plain,(
% 0.15/0.38    spl0_25|spl0_9),
% 0.15/0.38    inference(split_clause,[status(thm)],[f323,f320,f190])).
% 0.15/0.38  fof(f354,plain,(
% 0.15/0.38    ![X0,X1,X2,X3,X4]: (~check_cpq(triple(X0,insert_slb(X1,pair(X2,X3)),X4))|less_than(X3,X2))),
% 0.15/0.38    inference(resolution,[status(thm)],[f106,f236])).
% 0.15/0.38  fof(f355,plain,(
% 0.15/0.38    ![X0,X1,X2,X3,X4]: (~check_cpq(triple(X0,insert_slb(X1,pair(X2,X3)),X4))|check_cpq(triple(X0,X1,X4)))),
% 0.15/0.38    inference(backward_subsumption_resolution,[status(thm)],[f100,f354])).
% 0.15/0.38  fof(f356,plain,(
% 0.15/0.38    less_than(sk0_6,sk0_5)|~spl0_5),
% 0.15/0.38    inference(resolution,[status(thm)],[f354,f173])).
% 0.15/0.38  fof(f403,plain,(
% 0.15/0.38    ~less_than(sk0_6,sk0_5)|~spl0_19|~spl0_18|spl0_8),
% 0.15/0.38    inference(forward_demodulation,[status(thm)],[f271,f279])).
% 0.15/0.38  fof(f409,plain,(
% 0.15/0.38    $false|~spl0_19|~spl0_18|spl0_8|~spl0_5),
% 0.15/0.38    inference(forward_subsumption_resolution,[status(thm)],[f356,f403])).
% 0.15/0.38  fof(f410,plain,(
% 0.15/0.38    ~spl0_19|~spl0_18|spl0_8|~spl0_5),
% 0.15/0.38    inference(contradiction_clause,[status(thm)],[f409])).
% 0.15/0.38  fof(f473,plain,(
% 0.15/0.38    check_cpq(triple(sk0_3,sk0_0,sk0_4))|~spl0_5),
% 0.15/0.38    inference(resolution,[status(thm)],[f355,f173])).
% 0.15/0.38  fof(f474,plain,(
% 0.15/0.38    $false|~spl0_0|~spl0_5),
% 0.15/0.38    inference(forward_subsumption_resolution,[status(thm)],[f473,f155])).
% 0.15/0.38  fof(f475,plain,(
% 0.15/0.38    ~spl0_0|~spl0_5),
% 0.15/0.38    inference(contradiction_clause,[status(thm)],[f474])).
% 0.15/0.38  fof(f476,plain,(
% 0.15/0.38    $false),
% 0.15/0.38    inference(sat_refutation,[status(thm)],[f160,f167,f171,f178,f182,f186,f197,f204,f210,f216,f222,f228,f234,f250,f252,f256,f259,f261,f269,f274,f276,f307,f324,f410,f475])).
% 0.15/0.38  % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.39  % Elapsed time: 0.030563 seconds
% 0.15/0.39  % CPU time: 0.096184 seconds
% 0.15/0.39  % Total memory used: 15.942 MB
% 0.15/0.39  % Net memory used: 15.818 MB
%------------------------------------------------------------------------------