TSTP Solution File: SEU290+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU290+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 : Wed May 31 12:36:35 EDT 2023
% Result : Theorem 0.19s 0.38s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU290+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:27:17 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.35 % Drodi V3.5.1
% 0.19/0.38 % Refutation found
% 0.19/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.38 fof(f4,axiom,(
% 0.19/0.38 (! [A,B,C] :( element(C,powerset(cartesian_product2(A,B)))=> relation(C) ) )),
% 0.19/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.38 fof(f6,axiom,(
% 0.19/0.38 (! [A,B,C] :( relation_of2_as_subset(C,A,B)=> ( ( ( B = empty_set=> A = empty_set )=> ( quasi_total(C,A,B)<=> A = relation_dom_as_subset(A,B,C) ) )& ( B = empty_set=> ( A = empty_set| ( quasi_total(C,A,B)<=> C = empty_set ) ) ) ) ) )),
% 0.19/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.38 fof(f7,axiom,(
% 0.19/0.38 (! [A] :( ( relation(A)& function(A) )=> (! [B] :( B = relation_rng(A)<=> (! [C] :( in(C,B)<=> (? [D] :( in(D,relation_dom(A))& C = apply(A,D) ) )) )) )) )),
% 0.19/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.38 fof(f17,axiom,(
% 0.19/0.38 (! [A,B,C] :( relation_of2_as_subset(C,A,B)=> element(C,powerset(cartesian_product2(A,B))) ) )),
% 0.19/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.38 fof(f44,axiom,(
% 0.19/0.38 (! [A,B,C] :( relation_of2(C,A,B)=> relation_dom_as_subset(A,B,C) = relation_dom(C) ) )),
% 0.19/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.38 fof(f45,axiom,(
% 0.19/0.38 (! [A,B,C] :( relation_of2_as_subset(C,A,B)<=> relation_of2(C,A,B) ) )),
% 0.19/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.38 fof(f53,conjecture,(
% 0.19/0.38 (! [A,B,C,D] :( ( function(D)& quasi_total(D,A,B)& relation_of2_as_subset(D,A,B) )=> ( in(C,A)=> ( B = empty_set| in(apply(D,C),relation_rng(D)) ) ) ) )),
% 0.19/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.38 fof(f54,negated_conjecture,(
% 0.19/0.38 ~((! [A,B,C,D] :( ( function(D)& quasi_total(D,A,B)& relation_of2_as_subset(D,A,B) )=> ( in(C,A)=> ( B = empty_set| in(apply(D,C),relation_rng(D)) ) ) ) ))),
% 0.19/0.38 inference(negated_conjecture,[status(cth)],[f53])).
% 0.19/0.38 fof(f63,plain,(
% 0.19/0.38 ![A,B,C]: (~element(C,powerset(cartesian_product2(A,B)))|relation(C))),
% 0.19/0.38 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.19/0.38 fof(f64,plain,(
% 0.19/0.38 ![C]: ((![A,B]: ~element(C,powerset(cartesian_product2(A,B))))|relation(C))),
% 0.19/0.38 inference(miniscoping,[status(esa)],[f63])).
% 0.19/0.38 fof(f65,plain,(
% 0.19/0.38 ![X0,X1,X2]: (~element(X0,powerset(cartesian_product2(X1,X2)))|relation(X0))),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f64])).
% 0.19/0.38 fof(f70,plain,(
% 0.19/0.38 ![A,B,C]: (~relation_of2_as_subset(C,A,B)|(((B=empty_set&~A=empty_set)|(quasi_total(C,A,B)<=>A=relation_dom_as_subset(A,B,C)))&(~B=empty_set|(A=empty_set|(quasi_total(C,A,B)<=>C=empty_set)))))),
% 0.19/0.38 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.19/0.38 fof(f71,plain,(
% 0.19/0.38 ![A,B]: (pd0_0(B,A)=>(B=empty_set&~A=empty_set))),
% 0.19/0.38 introduced(predicate_definition,[f70])).
% 0.19/0.38 fof(f72,plain,(
% 0.19/0.38 ![A,B,C]: (~relation_of2_as_subset(C,A,B)|((pd0_0(B,A)|(quasi_total(C,A,B)<=>A=relation_dom_as_subset(A,B,C)))&(~B=empty_set|(A=empty_set|(quasi_total(C,A,B)<=>C=empty_set)))))),
% 0.19/0.38 inference(formula_renaming,[status(thm)],[f70,f71])).
% 0.19/0.38 fof(f73,plain,(
% 0.19/0.38 ![A,B,C]: (~relation_of2_as_subset(C,A,B)|((pd0_0(B,A)|((~quasi_total(C,A,B)|A=relation_dom_as_subset(A,B,C))&(quasi_total(C,A,B)|~A=relation_dom_as_subset(A,B,C))))&(~B=empty_set|(A=empty_set|((~quasi_total(C,A,B)|C=empty_set)&(quasi_total(C,A,B)|~C=empty_set))))))),
% 0.19/0.38 inference(NNF_transformation,[status(esa)],[f72])).
% 0.19/0.38 fof(f74,plain,(
% 0.19/0.38 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|pd0_0(X2,X1)|~quasi_total(X0,X1,X2)|X1=relation_dom_as_subset(X1,X2,X0))),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f73])).
% 0.19/0.38 fof(f78,plain,(
% 0.19/0.38 ![A]: ((~relation(A)|~function(A))|(![B]: (B=relation_rng(A)<=>(![C]: (in(C,B)<=>(?[D]: (in(D,relation_dom(A))&C=apply(A,D))))))))),
% 0.19/0.38 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.19/0.38 fof(f79,plain,(
% 0.19/0.38 ![A]: ((~relation(A)|~function(A))|(![B]: ((~B=relation_rng(A)|(![C]: ((~in(C,B)|(?[D]: (in(D,relation_dom(A))&C=apply(A,D))))&(in(C,B)|(![D]: (~in(D,relation_dom(A))|~C=apply(A,D)))))))&(B=relation_rng(A)|(?[C]: ((~in(C,B)|(![D]: (~in(D,relation_dom(A))|~C=apply(A,D))))&(in(C,B)|(?[D]: (in(D,relation_dom(A))&C=apply(A,D))))))))))),
% 0.19/0.38 inference(NNF_transformation,[status(esa)],[f78])).
% 0.19/0.38 fof(f80,plain,(
% 0.19/0.38 ![A]: ((~relation(A)|~function(A))|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|(?[D]: (in(D,relation_dom(A))&C=apply(A,D)))))&(![C]: (in(C,B)|(![D]: (~in(D,relation_dom(A))|~C=apply(A,D))))))))&(![B]: (B=relation_rng(A)|(?[C]: ((~in(C,B)|(![D]: (~in(D,relation_dom(A))|~C=apply(A,D))))&(in(C,B)|(?[D]: (in(D,relation_dom(A))&C=apply(A,D))))))))))),
% 0.19/0.38 inference(miniscoping,[status(esa)],[f79])).
% 0.19/0.38 fof(f81,plain,(
% 0.19/0.38 ![A]: ((~relation(A)|~function(A))|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|(in(sk0_0(C,B,A),relation_dom(A))&C=apply(A,sk0_0(C,B,A)))))&(![C]: (in(C,B)|(![D]: (~in(D,relation_dom(A))|~C=apply(A,D))))))))&(![B]: (B=relation_rng(A)|((~in(sk0_1(B,A),B)|(![D]: (~in(D,relation_dom(A))|~sk0_1(B,A)=apply(A,D))))&(in(sk0_1(B,A),B)|(in(sk0_2(B,A),relation_dom(A))&sk0_1(B,A)=apply(A,sk0_2(B,A)))))))))),
% 0.19/0.38 inference(skolemization,[status(esa)],[f80])).
% 0.19/0.38 fof(f84,plain,(
% 0.19/0.38 ![X0,X1,X2,X3]: (~relation(X0)|~function(X0)|~X1=relation_rng(X0)|in(X2,X1)|~in(X3,relation_dom(X0))|~X2=apply(X0,X3))),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f81])).
% 0.19/0.38 fof(f90,plain,(
% 0.19/0.38 ![A,B,C]: (~relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))))),
% 0.19/0.38 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 0.19/0.38 fof(f91,plain,(
% 0.19/0.38 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|element(X0,powerset(cartesian_product2(X1,X2))))),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f90])).
% 0.19/0.38 fof(f166,plain,(
% 0.19/0.38 ![A,B,C]: (~relation_of2(C,A,B)|relation_dom_as_subset(A,B,C)=relation_dom(C))),
% 0.19/0.38 inference(pre_NNF_transformation,[status(esa)],[f44])).
% 0.19/0.38 fof(f167,plain,(
% 0.19/0.38 ![X0,X1,X2]: (~relation_of2(X0,X1,X2)|relation_dom_as_subset(X1,X2,X0)=relation_dom(X0))),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f166])).
% 0.19/0.38 fof(f168,plain,(
% 0.19/0.38 ![A,B,C]: ((~relation_of2_as_subset(C,A,B)|relation_of2(C,A,B))&(relation_of2_as_subset(C,A,B)|~relation_of2(C,A,B)))),
% 0.19/0.38 inference(NNF_transformation,[status(esa)],[f45])).
% 0.19/0.38 fof(f169,plain,(
% 0.19/0.38 (![A,B,C]: (~relation_of2_as_subset(C,A,B)|relation_of2(C,A,B)))&(![A,B,C]: (relation_of2_as_subset(C,A,B)|~relation_of2(C,A,B)))),
% 0.19/0.38 inference(miniscoping,[status(esa)],[f168])).
% 0.19/0.38 fof(f170,plain,(
% 0.19/0.38 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|relation_of2(X0,X1,X2))),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f169])).
% 0.19/0.38 fof(f190,plain,(
% 0.19/0.38 (?[A,B,C,D]: (((function(D)&quasi_total(D,A,B))&relation_of2_as_subset(D,A,B))&(in(C,A)&(~B=empty_set&~in(apply(D,C),relation_rng(D))))))),
% 0.19/0.38 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 0.19/0.38 fof(f191,plain,(
% 0.19/0.38 ?[A,B,D]: (((function(D)&quasi_total(D,A,B))&relation_of2_as_subset(D,A,B))&(?[C]: (in(C,A)&(~B=empty_set&~in(apply(D,C),relation_rng(D))))))),
% 0.19/0.38 inference(miniscoping,[status(esa)],[f190])).
% 0.19/0.38 fof(f192,plain,(
% 0.19/0.38 (((function(sk0_22)&quasi_total(sk0_22,sk0_20,sk0_21))&relation_of2_as_subset(sk0_22,sk0_20,sk0_21))&(in(sk0_23,sk0_20)&(~sk0_21=empty_set&~in(apply(sk0_22,sk0_23),relation_rng(sk0_22)))))),
% 0.19/0.38 inference(skolemization,[status(esa)],[f191])).
% 0.19/0.38 fof(f193,plain,(
% 0.19/0.38 function(sk0_22)),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f192])).
% 0.19/0.38 fof(f194,plain,(
% 0.19/0.38 quasi_total(sk0_22,sk0_20,sk0_21)),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f192])).
% 0.19/0.38 fof(f195,plain,(
% 0.19/0.38 relation_of2_as_subset(sk0_22,sk0_20,sk0_21)),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f192])).
% 0.19/0.38 fof(f196,plain,(
% 0.19/0.38 in(sk0_23,sk0_20)),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f192])).
% 0.19/0.38 fof(f197,plain,(
% 0.19/0.38 ~sk0_21=empty_set),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f192])).
% 0.19/0.38 fof(f198,plain,(
% 0.19/0.38 ~in(apply(sk0_22,sk0_23),relation_rng(sk0_22))),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f192])).
% 0.19/0.38 fof(f205,plain,(
% 0.19/0.38 ![A,B]: (~pd0_0(B,A)|(B=empty_set&~A=empty_set))),
% 0.19/0.38 inference(pre_NNF_transformation,[status(esa)],[f71])).
% 0.19/0.38 fof(f206,plain,(
% 0.19/0.38 ![X0,X1]: (~pd0_0(X0,X1)|X0=empty_set)),
% 0.19/0.38 inference(cnf_transformation,[status(esa)],[f205])).
% 0.19/0.38 fof(f212,plain,(
% 0.19/0.38 ![X0,X1]: (~relation(X0)|~function(X0)|in(apply(X0,X1),relation_rng(X0))|~in(X1,relation_dom(X0)))),
% 0.19/0.38 inference(destructive_equality_resolution,[status(esa)],[f84])).
% 0.19/0.38 fof(f368,plain,(
% 0.19/0.38 ![X0,X1,X2]: (relation_dom_as_subset(X0,X1,X2)=relation_dom(X2)|~relation_of2_as_subset(X2,X0,X1))),
% 0.19/0.38 inference(resolution,[status(thm)],[f167,f170])).
% 0.19/0.38 fof(f428,plain,(
% 0.19/0.38 ![X0,X1,X2]: (X0=empty_set|~relation_of2_as_subset(X1,X2,X0)|~quasi_total(X1,X2,X0)|X2=relation_dom_as_subset(X2,X0,X1))),
% 0.19/0.38 inference(resolution,[status(thm)],[f206,f74])).
% 0.19/0.38 fof(f438,plain,(
% 0.19/0.38 spl0_19 <=> sk0_21=empty_set),
% 0.19/0.38 introduced(split_symbol_definition)).
% 0.19/0.38 fof(f439,plain,(
% 0.19/0.38 sk0_21=empty_set|~spl0_19),
% 0.19/0.38 inference(component_clause,[status(thm)],[f438])).
% 0.19/0.38 fof(f441,plain,(
% 0.19/0.38 spl0_20 <=> quasi_total(sk0_22,sk0_20,sk0_21)),
% 0.19/0.38 introduced(split_symbol_definition)).
% 0.19/0.38 fof(f443,plain,(
% 0.19/0.38 ~quasi_total(sk0_22,sk0_20,sk0_21)|spl0_20),
% 0.19/0.38 inference(component_clause,[status(thm)],[f441])).
% 0.19/0.38 fof(f444,plain,(
% 0.19/0.38 spl0_21 <=> sk0_20=relation_dom_as_subset(sk0_20,sk0_21,sk0_22)),
% 0.19/0.38 introduced(split_symbol_definition)).
% 0.19/0.38 fof(f445,plain,(
% 0.19/0.38 sk0_20=relation_dom_as_subset(sk0_20,sk0_21,sk0_22)|~spl0_21),
% 0.19/0.38 inference(component_clause,[status(thm)],[f444])).
% 0.19/0.38 fof(f447,plain,(
% 0.19/0.38 sk0_21=empty_set|~quasi_total(sk0_22,sk0_20,sk0_21)|sk0_20=relation_dom_as_subset(sk0_20,sk0_21,sk0_22)),
% 0.19/0.38 inference(resolution,[status(thm)],[f428,f195])).
% 0.19/0.38 fof(f448,plain,(
% 0.19/0.38 spl0_19|~spl0_20|spl0_21),
% 0.19/0.38 inference(split_clause,[status(thm)],[f447,f438,f441,f444])).
% 0.19/0.38 fof(f449,plain,(
% 0.19/0.38 $false|spl0_20),
% 0.19/0.38 inference(forward_subsumption_resolution,[status(thm)],[f443,f194])).
% 0.19/0.38 fof(f450,plain,(
% 0.19/0.38 spl0_20),
% 0.19/0.38 inference(contradiction_clause,[status(thm)],[f449])).
% 0.19/0.38 fof(f451,plain,(
% 0.19/0.38 $false|~spl0_19),
% 0.19/0.38 inference(forward_subsumption_resolution,[status(thm)],[f439,f197])).
% 0.19/0.38 fof(f452,plain,(
% 0.19/0.38 ~spl0_19),
% 0.19/0.38 inference(contradiction_clause,[status(thm)],[f451])).
% 0.19/0.38 fof(f453,plain,(
% 0.19/0.38 spl0_22 <=> sk0_20=relation_dom(sk0_22)),
% 0.19/0.38 introduced(split_symbol_definition)).
% 0.19/0.38 fof(f454,plain,(
% 0.19/0.38 sk0_20=relation_dom(sk0_22)|~spl0_22),
% 0.19/0.38 inference(component_clause,[status(thm)],[f453])).
% 0.19/0.38 fof(f456,plain,(
% 0.19/0.38 spl0_23 <=> relation_of2_as_subset(sk0_22,sk0_20,sk0_21)),
% 0.19/0.38 introduced(split_symbol_definition)).
% 0.19/0.38 fof(f458,plain,(
% 0.19/0.38 ~relation_of2_as_subset(sk0_22,sk0_20,sk0_21)|spl0_23),
% 0.19/0.38 inference(component_clause,[status(thm)],[f456])).
% 0.19/0.38 fof(f459,plain,(
% 0.19/0.38 sk0_20=relation_dom(sk0_22)|~relation_of2_as_subset(sk0_22,sk0_20,sk0_21)|~spl0_21),
% 0.19/0.38 inference(paramodulation,[status(thm)],[f445,f368])).
% 0.19/0.38 fof(f460,plain,(
% 0.19/0.38 spl0_22|~spl0_23|~spl0_21),
% 0.19/0.38 inference(split_clause,[status(thm)],[f459,f453,f456,f444])).
% 0.19/0.38 fof(f461,plain,(
% 0.19/0.38 $false|spl0_23),
% 0.19/0.38 inference(forward_subsumption_resolution,[status(thm)],[f458,f195])).
% 0.19/0.38 fof(f462,plain,(
% 0.19/0.38 spl0_23),
% 0.19/0.38 inference(contradiction_clause,[status(thm)],[f461])).
% 0.19/0.38 fof(f463,plain,(
% 0.19/0.38 spl0_24 <=> relation(sk0_22)),
% 0.19/0.38 introduced(split_symbol_definition)).
% 0.19/0.38 fof(f465,plain,(
% 0.19/0.38 ~relation(sk0_22)|spl0_24),
% 0.19/0.38 inference(component_clause,[status(thm)],[f463])).
% 0.19/0.38 fof(f466,plain,(
% 0.19/0.38 spl0_25 <=> function(sk0_22)),
% 0.19/0.38 introduced(split_symbol_definition)).
% 0.19/0.38 fof(f468,plain,(
% 0.19/0.38 ~function(sk0_22)|spl0_25),
% 0.19/0.38 inference(component_clause,[status(thm)],[f466])).
% 0.19/0.38 fof(f484,plain,(
% 0.19/0.38 spl0_29 <=> in(apply(sk0_22,X0),relation_rng(sk0_22))|~in(X0,sk0_20)),
% 0.19/0.38 introduced(split_symbol_definition)).
% 0.19/0.38 fof(f485,plain,(
% 0.19/0.38 ![X0]: (in(apply(sk0_22,X0),relation_rng(sk0_22))|~in(X0,sk0_20)|~spl0_29)),
% 0.19/0.38 inference(component_clause,[status(thm)],[f484])).
% 0.19/0.38 fof(f487,plain,(
% 0.19/0.38 ![X0]: (~relation(sk0_22)|~function(sk0_22)|in(apply(sk0_22,X0),relation_rng(sk0_22))|~in(X0,sk0_20)|~spl0_22)),
% 0.19/0.38 inference(paramodulation,[status(thm)],[f454,f212])).
% 0.19/0.38 fof(f488,plain,(
% 0.19/0.38 ~spl0_24|~spl0_25|spl0_29|~spl0_22),
% 0.19/0.38 inference(split_clause,[status(thm)],[f487,f463,f466,f484,f453])).
% 0.19/0.38 fof(f489,plain,(
% 0.19/0.38 $false|spl0_25),
% 0.19/0.38 inference(forward_subsumption_resolution,[status(thm)],[f468,f193])).
% 0.19/0.38 fof(f490,plain,(
% 0.19/0.38 spl0_25),
% 0.19/0.38 inference(contradiction_clause,[status(thm)],[f489])).
% 0.19/0.38 fof(f491,plain,(
% 0.19/0.38 ![X0,X1]: (~element(sk0_22,powerset(cartesian_product2(X0,X1)))|spl0_24)),
% 0.19/0.38 inference(resolution,[status(thm)],[f465,f65])).
% 0.19/0.38 fof(f671,plain,(
% 0.19/0.38 ![X0,X1]: (~relation_of2_as_subset(sk0_22,X0,X1)|spl0_24)),
% 0.19/0.38 inference(resolution,[status(thm)],[f91,f491])).
% 0.19/0.38 fof(f708,plain,(
% 0.19/0.38 $false|spl0_24),
% 0.19/0.38 inference(backward_subsumption_resolution,[status(thm)],[f195,f671])).
% 0.19/0.38 fof(f709,plain,(
% 0.19/0.38 spl0_24),
% 0.19/0.38 inference(contradiction_clause,[status(thm)],[f708])).
% 0.19/0.38 fof(f715,plain,(
% 0.19/0.38 in(apply(sk0_22,sk0_23),relation_rng(sk0_22))|~spl0_29),
% 0.19/0.38 inference(resolution,[status(thm)],[f485,f196])).
% 0.19/0.38 fof(f716,plain,(
% 0.19/0.38 $false|~spl0_29),
% 0.19/0.38 inference(forward_subsumption_resolution,[status(thm)],[f715,f198])).
% 0.19/0.38 fof(f717,plain,(
% 0.19/0.38 ~spl0_29),
% 0.19/0.38 inference(contradiction_clause,[status(thm)],[f716])).
% 0.19/0.38 fof(f718,plain,(
% 0.19/0.38 $false),
% 0.19/0.38 inference(sat_refutation,[status(thm)],[f448,f450,f452,f460,f462,f488,f490,f709,f717])).
% 0.19/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.39 % Elapsed time: 0.046695 seconds
% 0.19/0.39 % CPU time: 0.215356 seconds
% 0.19/0.39 % Memory used: 21.823 MB
%------------------------------------------------------------------------------