TSTP Solution File: SEU225+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU225+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 12:36:21 EDT 2023
% Result : Theorem 0.20s 0.36s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU225+3 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n025.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 09:28:57 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.35 % Drodi V3.5.1
% 0.20/0.36 % Refutation found
% 0.20/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.36 fof(f7,axiom,(
% 0.20/0.36 (! [A] :( ( relation(A)& function(A) )=> (! [B,C] :( ( in(B,relation_dom(A))=> ( C = apply(A,B)<=> in(ordered_pair(B,C),A) ) )& ( ~ in(B,relation_dom(A))=> ( C = apply(A,B)<=> C = empty_set ) ) ) )) )),
% 0.20/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36 fof(f9,axiom,(
% 0.20/0.36 (! [A,B] :( relation(A)=> relation(relation_dom_restriction(A,B)) ) )),
% 0.20/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36 fof(f19,axiom,(
% 0.20/0.36 (! [A,B] :( ( relation(A)& function(A) )=> ( relation(relation_dom_restriction(A,B))& function(relation_dom_restriction(A,B)) ) ) )),
% 0.20/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36 fof(f24,axiom,(
% 0.20/0.36 (! [A,B,C] :( ( relation(C)& function(C) )=> ( in(B,relation_dom(relation_dom_restriction(C,A)))<=> ( in(B,relation_dom(C))& in(B,A) ) ) ) )),
% 0.20/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36 fof(f42,axiom,(
% 0.20/0.36 (! [A,B] :( ( relation(B)& function(B) )=> (! [C] :( ( relation(C)& function(C) )=> ( B = relation_dom_restriction(C,A)<=> ( relation_dom(B) = set_intersection2(relation_dom(C),A)& (! [D] :( in(D,relation_dom(B))=> apply(B,D) = apply(C,D) ) )) ) ) )) )),
% 0.20/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36 fof(f44,conjecture,(
% 0.20/0.36 (! [A,B,C] :( ( relation(C)& function(C) )=> ( in(B,A)=> apply(relation_dom_restriction(C,A),B) = apply(C,B) ) ) )),
% 0.20/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.36 fof(f45,negated_conjecture,(
% 0.20/0.36 ~((! [A,B,C] :( ( relation(C)& function(C) )=> ( in(B,A)=> apply(relation_dom_restriction(C,A),B) = apply(C,B) ) ) ))),
% 0.20/0.36 inference(negated_conjecture,[status(cth)],[f44])).
% 0.20/0.36 fof(f60,plain,(
% 0.20/0.36 ![A]: ((~relation(A)|~function(A))|(![B,C]: ((~in(B,relation_dom(A))|(C=apply(A,B)<=>in(ordered_pair(B,C),A)))&(in(B,relation_dom(A))|(C=apply(A,B)<=>C=empty_set)))))),
% 0.20/0.36 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.20/0.36 fof(f61,plain,(
% 0.20/0.36 ![A]: ((~relation(A)|~function(A))|(![B,C]: ((~in(B,relation_dom(A))|((~C=apply(A,B)|in(ordered_pair(B,C),A))&(C=apply(A,B)|~in(ordered_pair(B,C),A))))&(in(B,relation_dom(A))|((~C=apply(A,B)|C=empty_set)&(C=apply(A,B)|~C=empty_set))))))),
% 0.20/0.36 inference(NNF_transformation,[status(esa)],[f60])).
% 0.20/0.36 fof(f62,plain,(
% 0.20/0.36 ![A]: ((~relation(A)|~function(A))|((![B]: (~in(B,relation_dom(A))|((![C]: (~C=apply(A,B)|in(ordered_pair(B,C),A)))&(![C]: (C=apply(A,B)|~in(ordered_pair(B,C),A))))))&(![B]: (in(B,relation_dom(A))|((![C]: (~C=apply(A,B)|C=empty_set))&(![C]: (C=apply(A,B)|~C=empty_set)))))))),
% 0.20/0.36 inference(miniscoping,[status(esa)],[f61])).
% 0.20/0.36 fof(f65,plain,(
% 0.20/0.36 ![X0,X1,X2]: (~relation(X0)|~function(X0)|in(X1,relation_dom(X0))|~X2=apply(X0,X1)|X2=empty_set)),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f62])).
% 0.20/0.36 fof(f66,plain,(
% 0.20/0.36 ![X0,X1,X2]: (~relation(X0)|~function(X0)|in(X1,relation_dom(X0))|X2=apply(X0,X1)|~X2=empty_set)),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f62])).
% 0.20/0.36 fof(f68,plain,(
% 0.20/0.36 ![A,B]: (~relation(A)|relation(relation_dom_restriction(A,B)))),
% 0.20/0.36 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.20/0.36 fof(f69,plain,(
% 0.20/0.36 ![A]: (~relation(A)|(![B]: relation(relation_dom_restriction(A,B))))),
% 0.20/0.36 inference(miniscoping,[status(esa)],[f68])).
% 0.20/0.36 fof(f70,plain,(
% 0.20/0.36 ![X0,X1]: (~relation(X0)|relation(relation_dom_restriction(X0,X1)))),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f69])).
% 0.20/0.36 fof(f87,plain,(
% 0.20/0.36 ![A,B]: ((~relation(A)|~function(A))|(relation(relation_dom_restriction(A,B))&function(relation_dom_restriction(A,B))))),
% 0.20/0.36 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.20/0.36 fof(f88,plain,(
% 0.20/0.36 ![A]: ((~relation(A)|~function(A))|((![B]: relation(relation_dom_restriction(A,B)))&(![B]: function(relation_dom_restriction(A,B)))))),
% 0.20/0.36 inference(miniscoping,[status(esa)],[f87])).
% 0.20/0.36 fof(f90,plain,(
% 0.20/0.36 ![X0,X1]: (~relation(X0)|~function(X0)|function(relation_dom_restriction(X0,X1)))),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f88])).
% 0.20/0.36 fof(f100,plain,(
% 0.20/0.36 ![A,B,C]: ((~relation(C)|~function(C))|(in(B,relation_dom(relation_dom_restriction(C,A)))<=>(in(B,relation_dom(C))&in(B,A))))),
% 0.20/0.36 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.20/0.36 fof(f101,plain,(
% 0.20/0.36 ![A,B,C]: ((~relation(C)|~function(C))|((~in(B,relation_dom(relation_dom_restriction(C,A)))|(in(B,relation_dom(C))&in(B,A)))&(in(B,relation_dom(relation_dom_restriction(C,A)))|(~in(B,relation_dom(C))|~in(B,A)))))),
% 0.20/0.36 inference(NNF_transformation,[status(esa)],[f100])).
% 0.20/0.36 fof(f102,plain,(
% 0.20/0.36 ![C]: ((~relation(C)|~function(C))|((![A,B]: (~in(B,relation_dom(relation_dom_restriction(C,A)))|(in(B,relation_dom(C))&in(B,A))))&(![A,B]: (in(B,relation_dom(relation_dom_restriction(C,A)))|(~in(B,relation_dom(C))|~in(B,A))))))),
% 0.20/0.36 inference(miniscoping,[status(esa)],[f101])).
% 0.20/0.36 fof(f105,plain,(
% 0.20/0.36 ![X0,X1,X2]: (~relation(X0)|~function(X0)|in(X1,relation_dom(relation_dom_restriction(X0,X2)))|~in(X1,relation_dom(X0))|~in(X1,X2))),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f102])).
% 0.20/0.36 fof(f154,plain,(
% 0.20/0.36 ![A,B]: ((~relation(B)|~function(B))|(![C]: ((~relation(C)|~function(C))|(B=relation_dom_restriction(C,A)<=>(relation_dom(B)=set_intersection2(relation_dom(C),A)&(![D]: (~in(D,relation_dom(B))|apply(B,D)=apply(C,D))))))))),
% 0.20/0.36 inference(pre_NNF_transformation,[status(esa)],[f42])).
% 0.20/0.36 fof(f155,plain,(
% 0.20/0.36 ![A,B]: ((~relation(B)|~function(B))|(![C]: ((~relation(C)|~function(C))|((~B=relation_dom_restriction(C,A)|(relation_dom(B)=set_intersection2(relation_dom(C),A)&(![D]: (~in(D,relation_dom(B))|apply(B,D)=apply(C,D)))))&(B=relation_dom_restriction(C,A)|(~relation_dom(B)=set_intersection2(relation_dom(C),A)|(?[D]: (in(D,relation_dom(B))&~apply(B,D)=apply(C,D)))))))))),
% 0.20/0.36 inference(NNF_transformation,[status(esa)],[f154])).
% 0.20/0.36 fof(f156,plain,(
% 0.20/0.36 ![B]: ((~relation(B)|~function(B))|(![C]: ((~relation(C)|~function(C))|((![A]: (~B=relation_dom_restriction(C,A)|(relation_dom(B)=set_intersection2(relation_dom(C),A)&(![D]: (~in(D,relation_dom(B))|apply(B,D)=apply(C,D))))))&(![A]: (B=relation_dom_restriction(C,A)|(~relation_dom(B)=set_intersection2(relation_dom(C),A)|(?[D]: (in(D,relation_dom(B))&~apply(B,D)=apply(C,D))))))))))),
% 0.20/0.36 inference(miniscoping,[status(esa)],[f155])).
% 0.20/0.36 fof(f157,plain,(
% 0.20/0.36 ![B]: ((~relation(B)|~function(B))|(![C]: ((~relation(C)|~function(C))|((![A]: (~B=relation_dom_restriction(C,A)|(relation_dom(B)=set_intersection2(relation_dom(C),A)&(![D]: (~in(D,relation_dom(B))|apply(B,D)=apply(C,D))))))&(![A]: (B=relation_dom_restriction(C,A)|(~relation_dom(B)=set_intersection2(relation_dom(C),A)|(in(sk0_11(A,C,B),relation_dom(B))&~apply(B,sk0_11(A,C,B))=apply(C,sk0_11(A,C,B))))))))))),
% 0.20/0.36 inference(skolemization,[status(esa)],[f156])).
% 0.20/0.36 fof(f159,plain,(
% 0.20/0.36 ![X0,X1,X2,X3]: (~relation(X0)|~function(X0)|~relation(X1)|~function(X1)|~X0=relation_dom_restriction(X1,X2)|~in(X3,relation_dom(X0))|apply(X0,X3)=apply(X1,X3))),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f157])).
% 0.20/0.36 fof(f164,plain,(
% 0.20/0.36 (?[A,B,C]: ((relation(C)&function(C))&(in(B,A)&~apply(relation_dom_restriction(C,A),B)=apply(C,B))))),
% 0.20/0.36 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 0.20/0.36 fof(f165,plain,(
% 0.20/0.36 ?[C]: ((relation(C)&function(C))&(?[A,B]: (in(B,A)&~apply(relation_dom_restriction(C,A),B)=apply(C,B))))),
% 0.20/0.36 inference(miniscoping,[status(esa)],[f164])).
% 0.20/0.36 fof(f166,plain,(
% 0.20/0.36 ((relation(sk0_12)&function(sk0_12))&(in(sk0_14,sk0_13)&~apply(relation_dom_restriction(sk0_12,sk0_13),sk0_14)=apply(sk0_12,sk0_14)))),
% 0.20/0.36 inference(skolemization,[status(esa)],[f165])).
% 0.20/0.36 fof(f167,plain,(
% 0.20/0.36 relation(sk0_12)),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f166])).
% 0.20/0.36 fof(f168,plain,(
% 0.20/0.36 function(sk0_12)),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f166])).
% 0.20/0.36 fof(f169,plain,(
% 0.20/0.36 in(sk0_14,sk0_13)),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f166])).
% 0.20/0.36 fof(f170,plain,(
% 0.20/0.36 ~apply(relation_dom_restriction(sk0_12,sk0_13),sk0_14)=apply(sk0_12,sk0_14)),
% 0.20/0.36 inference(cnf_transformation,[status(esa)],[f166])).
% 0.20/0.36 fof(f232,plain,(
% 0.20/0.36 spl0_8 <=> relation(relation_dom_restriction(sk0_12,sk0_13))),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f234,plain,(
% 0.20/0.36 ~relation(relation_dom_restriction(sk0_12,sk0_13))|spl0_8),
% 0.20/0.36 inference(component_clause,[status(thm)],[f232])).
% 0.20/0.36 fof(f235,plain,(
% 0.20/0.36 spl0_9 <=> function(relation_dom_restriction(sk0_12,sk0_13))),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f237,plain,(
% 0.20/0.36 ~function(relation_dom_restriction(sk0_12,sk0_13))|spl0_9),
% 0.20/0.36 inference(component_clause,[status(thm)],[f235])).
% 0.20/0.36 fof(f238,plain,(
% 0.20/0.36 spl0_10 <=> relation(sk0_12)),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f240,plain,(
% 0.20/0.36 ~relation(sk0_12)|spl0_10),
% 0.20/0.36 inference(component_clause,[status(thm)],[f238])).
% 0.20/0.36 fof(f241,plain,(
% 0.20/0.36 spl0_11 <=> function(sk0_12)),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f243,plain,(
% 0.20/0.36 ~function(sk0_12)|spl0_11),
% 0.20/0.36 inference(component_clause,[status(thm)],[f241])).
% 0.20/0.36 fof(f244,plain,(
% 0.20/0.36 spl0_12 <=> ~relation_dom_restriction(sk0_12,sk0_13)=relation_dom_restriction(sk0_12,X0)),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f245,plain,(
% 0.20/0.36 ![X0]: (~relation_dom_restriction(sk0_12,sk0_13)=relation_dom_restriction(sk0_12,X0)|~spl0_12)),
% 0.20/0.36 inference(component_clause,[status(thm)],[f244])).
% 0.20/0.36 fof(f247,plain,(
% 0.20/0.36 spl0_13 <=> in(sk0_14,relation_dom(relation_dom_restriction(sk0_12,sk0_13)))),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f249,plain,(
% 0.20/0.36 ~in(sk0_14,relation_dom(relation_dom_restriction(sk0_12,sk0_13)))|spl0_13),
% 0.20/0.36 inference(component_clause,[status(thm)],[f247])).
% 0.20/0.36 fof(f250,plain,(
% 0.20/0.36 ![X0]: (~relation(relation_dom_restriction(sk0_12,sk0_13))|~function(relation_dom_restriction(sk0_12,sk0_13))|~relation(sk0_12)|~function(sk0_12)|~relation_dom_restriction(sk0_12,sk0_13)=relation_dom_restriction(sk0_12,X0)|~in(sk0_14,relation_dom(relation_dom_restriction(sk0_12,sk0_13))))),
% 0.20/0.36 inference(resolution,[status(thm)],[f159,f170])).
% 0.20/0.36 fof(f251,plain,(
% 0.20/0.36 ~spl0_8|~spl0_9|~spl0_10|~spl0_11|spl0_12|~spl0_13),
% 0.20/0.36 inference(split_clause,[status(thm)],[f250,f232,f235,f238,f241,f244,f247])).
% 0.20/0.36 fof(f255,plain,(
% 0.20/0.36 spl0_15 <=> in(sk0_14,relation_dom(sk0_12))),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f257,plain,(
% 0.20/0.36 ~in(sk0_14,relation_dom(sk0_12))|spl0_15),
% 0.20/0.36 inference(component_clause,[status(thm)],[f255])).
% 0.20/0.36 fof(f265,plain,(
% 0.20/0.36 spl0_17 <=> ~X0=apply(sk0_12,sk0_14)|X0=empty_set),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f266,plain,(
% 0.20/0.36 ![X0]: (~X0=apply(sk0_12,sk0_14)|X0=empty_set|~spl0_17)),
% 0.20/0.36 inference(component_clause,[status(thm)],[f265])).
% 0.20/0.36 fof(f268,plain,(
% 0.20/0.36 ![X0]: (~relation(sk0_12)|~function(sk0_12)|~X0=apply(sk0_12,sk0_14)|X0=empty_set|spl0_15)),
% 0.20/0.36 inference(resolution,[status(thm)],[f257,f65])).
% 0.20/0.36 fof(f269,plain,(
% 0.20/0.36 ~spl0_10|~spl0_11|spl0_17|spl0_15),
% 0.20/0.36 inference(split_clause,[status(thm)],[f268,f238,f241,f265,f255])).
% 0.20/0.36 fof(f270,plain,(
% 0.20/0.36 $false|spl0_11),
% 0.20/0.36 inference(forward_subsumption_resolution,[status(thm)],[f243,f168])).
% 0.20/0.36 fof(f271,plain,(
% 0.20/0.36 spl0_11),
% 0.20/0.36 inference(contradiction_clause,[status(thm)],[f270])).
% 0.20/0.36 fof(f272,plain,(
% 0.20/0.36 $false|spl0_10),
% 0.20/0.36 inference(forward_subsumption_resolution,[status(thm)],[f240,f167])).
% 0.20/0.36 fof(f273,plain,(
% 0.20/0.36 spl0_10),
% 0.20/0.36 inference(contradiction_clause,[status(thm)],[f272])).
% 0.20/0.36 fof(f274,plain,(
% 0.20/0.36 ~relation(sk0_12)|~function(sk0_12)|spl0_9),
% 0.20/0.36 inference(resolution,[status(thm)],[f237,f90])).
% 0.20/0.36 fof(f275,plain,(
% 0.20/0.36 ~spl0_10|~spl0_11|spl0_9),
% 0.20/0.36 inference(split_clause,[status(thm)],[f274,f238,f241,f235])).
% 0.20/0.36 fof(f277,plain,(
% 0.20/0.36 ~relation(sk0_12)|spl0_8),
% 0.20/0.36 inference(resolution,[status(thm)],[f234,f70])).
% 0.20/0.36 fof(f278,plain,(
% 0.20/0.36 ~spl0_10|spl0_8),
% 0.20/0.36 inference(split_clause,[status(thm)],[f277,f238,f232])).
% 0.20/0.36 fof(f296,plain,(
% 0.20/0.36 apply(sk0_12,sk0_14)=empty_set|~spl0_17),
% 0.20/0.36 inference(equality_resolution,[status(esa)],[f266])).
% 0.20/0.36 fof(f301,plain,(
% 0.20/0.36 spl0_21 <=> in(sk0_14,sk0_13)),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f303,plain,(
% 0.20/0.36 ~in(sk0_14,sk0_13)|spl0_21),
% 0.20/0.36 inference(component_clause,[status(thm)],[f301])).
% 0.20/0.36 fof(f304,plain,(
% 0.20/0.36 ~relation(sk0_12)|~function(sk0_12)|~in(sk0_14,relation_dom(sk0_12))|~in(sk0_14,sk0_13)|spl0_13),
% 0.20/0.36 inference(resolution,[status(thm)],[f249,f105])).
% 0.20/0.36 fof(f305,plain,(
% 0.20/0.36 ~spl0_10|~spl0_11|~spl0_15|~spl0_21|spl0_13),
% 0.20/0.36 inference(split_clause,[status(thm)],[f304,f238,f241,f255,f301,f247])).
% 0.20/0.36 fof(f306,plain,(
% 0.20/0.36 spl0_22 <=> X0=apply(relation_dom_restriction(sk0_12,sk0_13),sk0_14)|~X0=empty_set),
% 0.20/0.36 introduced(split_symbol_definition)).
% 0.20/0.36 fof(f307,plain,(
% 0.20/0.36 ![X0]: (X0=apply(relation_dom_restriction(sk0_12,sk0_13),sk0_14)|~X0=empty_set|~spl0_22)),
% 0.20/0.36 inference(component_clause,[status(thm)],[f306])).
% 0.20/0.37 fof(f309,plain,(
% 0.20/0.37 ![X0]: (~relation(relation_dom_restriction(sk0_12,sk0_13))|~function(relation_dom_restriction(sk0_12,sk0_13))|X0=apply(relation_dom_restriction(sk0_12,sk0_13),sk0_14)|~X0=empty_set|spl0_13)),
% 0.20/0.37 inference(resolution,[status(thm)],[f249,f66])).
% 0.20/0.37 fof(f310,plain,(
% 0.20/0.37 ~spl0_8|~spl0_9|spl0_22|spl0_13),
% 0.20/0.37 inference(split_clause,[status(thm)],[f309,f232,f235,f306,f247])).
% 0.20/0.37 fof(f320,plain,(
% 0.20/0.37 ~apply(sk0_12,sk0_14)=empty_set|~spl0_22),
% 0.20/0.37 inference(resolution,[status(thm)],[f307,f170])).
% 0.20/0.37 fof(f321,plain,(
% 0.20/0.37 ~empty_set=empty_set|~spl0_17|~spl0_22),
% 0.20/0.37 inference(forward_demodulation,[status(thm)],[f296,f320])).
% 0.20/0.37 fof(f322,plain,(
% 0.20/0.37 $false|~spl0_17|~spl0_22),
% 0.20/0.37 inference(trivial_equality_resolution,[status(esa)],[f321])).
% 0.20/0.37 fof(f323,plain,(
% 0.20/0.37 ~spl0_17|~spl0_22),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f322])).
% 0.20/0.37 fof(f324,plain,(
% 0.20/0.37 $false|spl0_21),
% 0.20/0.37 inference(forward_subsumption_resolution,[status(thm)],[f303,f169])).
% 0.20/0.37 fof(f325,plain,(
% 0.20/0.37 spl0_21),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f324])).
% 0.20/0.37 fof(f342,plain,(
% 0.20/0.37 $false|~spl0_12),
% 0.20/0.37 inference(equality_resolution,[status(esa)],[f245])).
% 0.20/0.37 fof(f343,plain,(
% 0.20/0.37 ~spl0_12),
% 0.20/0.37 inference(contradiction_clause,[status(thm)],[f342])).
% 0.20/0.37 fof(f344,plain,(
% 0.20/0.37 $false),
% 0.20/0.37 inference(sat_refutation,[status(thm)],[f251,f269,f271,f273,f275,f278,f305,f310,f323,f325,f343])).
% 0.20/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.38 % Elapsed time: 0.029263 seconds
% 0.20/0.38 % CPU time: 0.063582 seconds
% 0.20/0.38 % Memory used: 15.087 MB
%------------------------------------------------------------------------------