TSTP Solution File: SYN067+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN067+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 12:45:52 EDT 2023
% Result : Theorem 0.21s 0.37s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN067+1 : TPTP v8.1.2. Released v2.0.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n002.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 10:38:13 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.21/0.37 % Refutation found
% 0.21/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.37 fof(f1,conjecture,(
% 0.21/0.37 ( (! [X] :( ( big_p(a)& ( big_p(X)=> (? [Y] :( big_p(Y)& big_r(X,Y) ) )) )=> (? [Z,W] :( big_p(Z)& big_r(X,W)& big_r(W,Z) ) )))<=> (! [X1] :( ( ~ big_p(a)| big_p(X1)| (? [Z1,W1] :( big_p(Z1)& big_r(X1,W1)& big_r(W1,Z1) ) ))& ( ~ big_p(a)| ~ (? [Y1] :( big_p(Y1)& big_r(X1,Y1) ))| (? [Z2,W2] :( big_p(Z2)& big_r(X1,W2)& big_r(W2,Z2) ) )) ) )) ),
% 0.21/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.37 fof(f2,negated_conjecture,(
% 0.21/0.37 ~(( (! [X] :( ( big_p(a)& ( big_p(X)=> (? [Y] :( big_p(Y)& big_r(X,Y) ) )) )=> (? [Z,W] :( big_p(Z)& big_r(X,W)& big_r(W,Z) ) )))<=> (! [X1] :( ( ~ big_p(a)| big_p(X1)| (? [Z1,W1] :( big_p(Z1)& big_r(X1,W1)& big_r(W1,Z1) ) ))& ( ~ big_p(a)| ~ (? [Y1] :( big_p(Y1)& big_r(X1,Y1) ))| (? [Z2,W2] :( big_p(Z2)& big_r(X1,W2)& big_r(W2,Z2) ) )) ) )) )),
% 0.21/0.37 inference(negated_conjecture,[status(cth)],[f1])).
% 0.21/0.37 fof(f3,plain,(
% 0.21/0.37 ((![X]: ((~big_p(a)|(big_p(X)&(![Y]: (~big_p(Y)|~big_r(X,Y)))))|(?[Z,W]: ((big_p(Z)&big_r(X,W))&big_r(W,Z)))))<~>(![X1]: (((~big_p(a)|big_p(X1))|(?[Z1,W1]: ((big_p(Z1)&big_r(X1,W1))&big_r(W1,Z1))))&((~big_p(a)|(![Y1]: (~big_p(Y1)|~big_r(X1,Y1))))|(?[Z2,W2]: ((big_p(Z2)&big_r(X1,W2))&big_r(W2,Z2)))))))),
% 0.21/0.37 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.21/0.37 fof(f4,plain,(
% 0.21/0.37 ![X]: (pd0_0(X)<=>((~big_p(a)|(big_p(X)&(![Y]: (~big_p(Y)|~big_r(X,Y)))))|(?[Z,W]: ((big_p(Z)&big_r(X,W))&big_r(W,Z)))))),
% 0.21/0.37 introduced(predicate_definition,[f3])).
% 0.21/0.37 fof(f5,plain,(
% 0.21/0.37 ![X1]: (pd0_1(X1)<=>((~big_p(a)|big_p(X1))|(?[Z1,W1]: ((big_p(Z1)&big_r(X1,W1))&big_r(W1,Z1)))))),
% 0.21/0.37 introduced(predicate_definition,[f3])).
% 0.21/0.37 fof(f6,plain,(
% 0.21/0.37 (![X]: pd0_0(X))<~>(![X1]: (pd0_1(X1)&((~big_p(a)|(![Y1]: (~big_p(Y1)|~big_r(X1,Y1))))|(?[Z2,W2]: ((big_p(Z2)&big_r(X1,W2))&big_r(W2,Z2))))))),
% 0.21/0.37 inference(formula_renaming,[status(thm)],[f3,f5,f4])).
% 0.21/0.37 fof(f7,plain,(
% 0.21/0.37 ((![X]: pd0_0(X))|(![X1]: (pd0_1(X1)&((~big_p(a)|(![Y1]: (~big_p(Y1)|~big_r(X1,Y1))))|(?[Z2,W2]: ((big_p(Z2)&big_r(X1,W2))&big_r(W2,Z2)))))))&((?[X]: ~pd0_0(X))|(?[X1]: (~pd0_1(X1)|((big_p(a)&(?[Y1]: (big_p(Y1)&big_r(X1,Y1))))&(![Z2,W2]: ((~big_p(Z2)|~big_r(X1,W2))|~big_r(W2,Z2)))))))),
% 0.21/0.37 inference(NNF_transformation,[status(esa)],[f6])).
% 0.21/0.37 fof(f8,plain,(
% 0.21/0.37 ((![X]: pd0_0(X))|((![X1]: pd0_1(X1))&(![X1]: ((~big_p(a)|(![Y1]: (~big_p(Y1)|~big_r(X1,Y1))))|(?[Z2,W2]: ((big_p(Z2)&big_r(X1,W2))&big_r(W2,Z2)))))))&((?[X]: ~pd0_0(X))|((?[X1]: ~pd0_1(X1))|(?[X1]: ((big_p(a)&(?[Y1]: (big_p(Y1)&big_r(X1,Y1))))&(![Z2,W2]: ((~big_p(Z2)|~big_r(X1,W2))|~big_r(W2,Z2)))))))),
% 0.21/0.37 inference(miniscoping,[status(esa)],[f7])).
% 0.21/0.37 fof(f9,plain,(
% 0.21/0.37 ((![X]: pd0_0(X))|((![X1]: pd0_1(X1))&(![X1]: ((~big_p(a)|(![Y1]: (~big_p(Y1)|~big_r(X1,Y1))))|((big_p(sk0_0(X1))&big_r(X1,sk0_1(X1)))&big_r(sk0_1(X1),sk0_0(X1)))))))&(~pd0_0(sk0_2)|(~pd0_1(sk0_3)|((big_p(a)&(big_p(sk0_5)&big_r(sk0_4,sk0_5)))&(![Z2,W2]: ((~big_p(Z2)|~big_r(sk0_4,W2))|~big_r(W2,Z2))))))),
% 0.21/0.37 inference(skolemization,[status(esa)],[f8])).
% 0.21/0.37 fof(f10,plain,(
% 0.21/0.37 ![X0,X1]: (pd0_0(X0)|pd0_1(X1))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f9])).
% 0.21/0.37 fof(f11,plain,(
% 0.21/0.37 ![X0,X1,X2]: (pd0_0(X0)|~big_p(a)|~big_p(X1)|~big_r(X2,X1)|big_p(sk0_0(X2)))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f9])).
% 0.21/0.37 fof(f12,plain,(
% 0.21/0.37 ![X0,X1,X2]: (pd0_0(X0)|~big_p(a)|~big_p(X1)|~big_r(X2,X1)|big_r(X2,sk0_1(X2)))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f9])).
% 0.21/0.37 fof(f13,plain,(
% 0.21/0.37 ![X0,X1,X2]: (pd0_0(X0)|~big_p(a)|~big_p(X1)|~big_r(X2,X1)|big_r(sk0_1(X2),sk0_0(X2)))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f9])).
% 0.21/0.37 fof(f14,plain,(
% 0.21/0.37 ~pd0_0(sk0_2)|~pd0_1(sk0_3)|big_p(a)),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f9])).
% 0.21/0.37 fof(f15,plain,(
% 0.21/0.37 ~pd0_0(sk0_2)|~pd0_1(sk0_3)|big_p(sk0_5)),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f9])).
% 0.21/0.37 fof(f16,plain,(
% 0.21/0.37 ~pd0_0(sk0_2)|~pd0_1(sk0_3)|big_r(sk0_4,sk0_5)),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f9])).
% 0.21/0.37 fof(f17,plain,(
% 0.21/0.37 ![X0,X1]: (~pd0_0(sk0_2)|~pd0_1(sk0_3)|~big_p(X0)|~big_r(sk0_4,X1)|~big_r(X1,X0))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f9])).
% 0.21/0.37 fof(f18,plain,(
% 0.21/0.37 ![X]: (pd0_2(X)<=>(big_p(X)&(![Y]: (~big_p(Y)|~big_r(X,Y)))))),
% 0.21/0.37 introduced(predicate_definition,[f4])).
% 0.21/0.37 fof(f19,plain,(
% 0.21/0.37 ![X]: (pd0_0(X)<=>((~big_p(a)|pd0_2(X))|(?[Z,W]: ((big_p(Z)&big_r(X,W))&big_r(W,Z)))))),
% 0.21/0.37 inference(formula_renaming,[status(thm)],[f4,f18])).
% 0.21/0.37 fof(f20,plain,(
% 0.21/0.37 ![X]: ((~pd0_0(X)|((~big_p(a)|pd0_2(X))|(?[Z,W]: ((big_p(Z)&big_r(X,W))&big_r(W,Z)))))&(pd0_0(X)|((big_p(a)&~pd0_2(X))&(![Z,W]: ((~big_p(Z)|~big_r(X,W))|~big_r(W,Z))))))),
% 0.21/0.37 inference(NNF_transformation,[status(esa)],[f19])).
% 0.21/0.37 fof(f21,plain,(
% 0.21/0.37 (![X]: (~pd0_0(X)|((~big_p(a)|pd0_2(X))|(?[Z,W]: ((big_p(Z)&big_r(X,W))&big_r(W,Z))))))&(![X]: (pd0_0(X)|((big_p(a)&~pd0_2(X))&(![Z,W]: ((~big_p(Z)|~big_r(X,W))|~big_r(W,Z))))))),
% 0.21/0.37 inference(miniscoping,[status(esa)],[f20])).
% 0.21/0.37 fof(f22,plain,(
% 0.21/0.37 (![X]: (~pd0_0(X)|((~big_p(a)|pd0_2(X))|((big_p(sk0_6(X))&big_r(X,sk0_7(X)))&big_r(sk0_7(X),sk0_6(X))))))&(![X]: (pd0_0(X)|((big_p(a)&~pd0_2(X))&(![Z,W]: ((~big_p(Z)|~big_r(X,W))|~big_r(W,Z))))))),
% 0.21/0.37 inference(skolemization,[status(esa)],[f21])).
% 0.21/0.37 fof(f23,plain,(
% 0.21/0.37 ![X0]: (~pd0_0(X0)|~big_p(a)|pd0_2(X0)|big_p(sk0_6(X0)))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f22])).
% 0.21/0.37 fof(f24,plain,(
% 0.21/0.37 ![X0]: (~pd0_0(X0)|~big_p(a)|pd0_2(X0)|big_r(X0,sk0_7(X0)))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f22])).
% 0.21/0.37 fof(f25,plain,(
% 0.21/0.37 ![X0]: (~pd0_0(X0)|~big_p(a)|pd0_2(X0)|big_r(sk0_7(X0),sk0_6(X0)))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f22])).
% 0.21/0.37 fof(f26,plain,(
% 0.21/0.37 ![X0]: (pd0_0(X0)|big_p(a))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f22])).
% 0.21/0.37 fof(f27,plain,(
% 0.21/0.37 ![X0]: (pd0_0(X0)|~pd0_2(X0))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f22])).
% 0.21/0.37 fof(f28,plain,(
% 0.21/0.37 ![X0,X1,X2]: (pd0_0(X0)|~big_p(X1)|~big_r(X0,X2)|~big_r(X2,X1))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f22])).
% 0.21/0.37 fof(f29,plain,(
% 0.21/0.37 ![X1]: ((~pd0_1(X1)|((~big_p(a)|big_p(X1))|(?[Z1,W1]: ((big_p(Z1)&big_r(X1,W1))&big_r(W1,Z1)))))&(pd0_1(X1)|((big_p(a)&~big_p(X1))&(![Z1,W1]: ((~big_p(Z1)|~big_r(X1,W1))|~big_r(W1,Z1))))))),
% 0.21/0.37 inference(NNF_transformation,[status(esa)],[f5])).
% 0.21/0.37 fof(f30,plain,(
% 0.21/0.37 (![X1]: (~pd0_1(X1)|((~big_p(a)|big_p(X1))|(?[Z1,W1]: ((big_p(Z1)&big_r(X1,W1))&big_r(W1,Z1))))))&(![X1]: (pd0_1(X1)|((big_p(a)&~big_p(X1))&(![Z1,W1]: ((~big_p(Z1)|~big_r(X1,W1))|~big_r(W1,Z1))))))),
% 0.21/0.37 inference(miniscoping,[status(esa)],[f29])).
% 0.21/0.37 fof(f31,plain,(
% 0.21/0.37 (![X1]: (~pd0_1(X1)|((~big_p(a)|big_p(X1))|((big_p(sk0_8(X1))&big_r(X1,sk0_9(X1)))&big_r(sk0_9(X1),sk0_8(X1))))))&(![X1]: (pd0_1(X1)|((big_p(a)&~big_p(X1))&(![Z1,W1]: ((~big_p(Z1)|~big_r(X1,W1))|~big_r(W1,Z1))))))),
% 0.21/0.37 inference(skolemization,[status(esa)],[f30])).
% 0.21/0.37 fof(f32,plain,(
% 0.21/0.37 ![X0]: (~pd0_1(X0)|~big_p(a)|big_p(X0)|big_p(sk0_8(X0)))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f31])).
% 0.21/0.37 fof(f33,plain,(
% 0.21/0.37 ![X0]: (~pd0_1(X0)|~big_p(a)|big_p(X0)|big_r(X0,sk0_9(X0)))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f31])).
% 0.21/0.37 fof(f34,plain,(
% 0.21/0.37 ![X0]: (~pd0_1(X0)|~big_p(a)|big_p(X0)|big_r(sk0_9(X0),sk0_8(X0)))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f31])).
% 0.21/0.37 fof(f35,plain,(
% 0.21/0.37 ![X0]: (pd0_1(X0)|big_p(a))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f31])).
% 0.21/0.37 fof(f36,plain,(
% 0.21/0.37 ![X0]: (pd0_1(X0)|~big_p(X0))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f31])).
% 0.21/0.37 fof(f37,plain,(
% 0.21/0.37 ![X0,X1,X2]: (pd0_1(X0)|~big_p(X1)|~big_r(X0,X2)|~big_r(X2,X1))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f31])).
% 0.21/0.37 fof(f38,plain,(
% 0.21/0.37 ![X]: ((~pd0_2(X)|(big_p(X)&(![Y]: (~big_p(Y)|~big_r(X,Y)))))&(pd0_2(X)|(~big_p(X)|(?[Y]: (big_p(Y)&big_r(X,Y))))))),
% 0.21/0.37 inference(NNF_transformation,[status(esa)],[f18])).
% 0.21/0.37 fof(f39,plain,(
% 0.21/0.37 (![X]: (~pd0_2(X)|(big_p(X)&(![Y]: (~big_p(Y)|~big_r(X,Y))))))&(![X]: (pd0_2(X)|(~big_p(X)|(?[Y]: (big_p(Y)&big_r(X,Y))))))),
% 0.21/0.37 inference(miniscoping,[status(esa)],[f38])).
% 0.21/0.37 fof(f40,plain,(
% 0.21/0.37 (![X]: (~pd0_2(X)|(big_p(X)&(![Y]: (~big_p(Y)|~big_r(X,Y))))))&(![X]: (pd0_2(X)|(~big_p(X)|(big_p(sk0_10(X))&big_r(X,sk0_10(X))))))),
% 0.21/0.37 inference(skolemization,[status(esa)],[f39])).
% 0.21/0.37 fof(f41,plain,(
% 0.21/0.37 ![X0]: (~pd0_2(X0)|big_p(X0))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f40])).
% 0.21/0.37 fof(f42,plain,(
% 0.21/0.37 ![X0,X1]: (~pd0_2(X0)|~big_p(X1)|~big_r(X0,X1))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f40])).
% 0.21/0.37 fof(f43,plain,(
% 0.21/0.37 ![X0]: (pd0_2(X0)|~big_p(X0)|big_p(sk0_10(X0)))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f40])).
% 0.21/0.37 fof(f44,plain,(
% 0.21/0.37 ![X0]: (pd0_2(X0)|~big_p(X0)|big_r(X0,sk0_10(X0)))),
% 0.21/0.37 inference(cnf_transformation,[status(esa)],[f40])).
% 0.21/0.37 fof(f45,plain,(
% 0.21/0.37 spl0_0 <=> pd0_0(X0)),
% 0.21/0.37 introduced(split_symbol_definition)).
% 0.21/0.37 fof(f46,plain,(
% 0.21/0.37 ![X0]: (pd0_0(X0)|~spl0_0)),
% 0.21/0.37 inference(component_clause,[status(thm)],[f45])).
% 0.21/0.37 fof(f48,plain,(
% 0.21/0.37 spl0_1 <=> pd0_1(X1)),
% 0.21/0.37 introduced(split_symbol_definition)).
% 0.21/0.37 fof(f49,plain,(
% 0.21/0.37 ![X0]: (pd0_1(X0)|~spl0_1)),
% 0.21/0.37 inference(component_clause,[status(thm)],[f48])).
% 0.21/0.37 fof(f51,plain,(
% 0.21/0.37 spl0_0|spl0_1),
% 0.21/0.37 inference(split_clause,[status(thm)],[f10,f45,f48])).
% 0.21/0.37 fof(f52,plain,(
% 0.21/0.37 spl0_2 <=> big_p(a)),
% 0.21/0.37 introduced(split_symbol_definition)).
% 0.21/0.37 fof(f55,plain,(
% 0.21/0.37 spl0_3 <=> ~big_p(X1)|~big_r(X2,X1)|big_p(sk0_0(X2))),
% 0.21/0.37 introduced(split_symbol_definition)).
% 0.21/0.37 fof(f56,plain,(
% 0.21/0.37 ![X0,X1]: (~big_p(X0)|~big_r(X1,X0)|big_p(sk0_0(X1))|~spl0_3)),
% 0.21/0.37 inference(component_clause,[status(thm)],[f55])).
% 0.21/0.37 fof(f58,plain,(
% 0.21/0.37 spl0_0|~spl0_2|spl0_3),
% 0.21/0.37 inference(split_clause,[status(thm)],[f11,f45,f52,f55])).
% 0.21/0.37 fof(f59,plain,(
% 0.21/0.37 spl0_4 <=> ~big_p(X1)|~big_r(X2,X1)|big_r(X2,sk0_1(X2))),
% 0.21/0.37 introduced(split_symbol_definition)).
% 0.21/0.37 fof(f60,plain,(
% 0.21/0.37 ![X0,X1]: (~big_p(X0)|~big_r(X1,X0)|big_r(X1,sk0_1(X1))|~spl0_4)),
% 0.21/0.37 inference(component_clause,[status(thm)],[f59])).
% 0.21/0.37 fof(f62,plain,(
% 0.21/0.37 spl0_0|~spl0_2|spl0_4),
% 0.21/0.37 inference(split_clause,[status(thm)],[f12,f45,f52,f59])).
% 0.21/0.37 fof(f63,plain,(
% 0.21/0.37 spl0_5 <=> ~big_p(X1)|~big_r(X2,X1)|big_r(sk0_1(X2),sk0_0(X2))),
% 0.21/0.37 introduced(split_symbol_definition)).
% 0.21/0.37 fof(f64,plain,(
% 0.21/0.37 ![X0,X1]: (~big_p(X0)|~big_r(X1,X0)|big_r(sk0_1(X1),sk0_0(X1))|~spl0_5)),
% 0.21/0.37 inference(component_clause,[status(thm)],[f63])).
% 0.21/0.37 fof(f66,plain,(
% 0.21/0.37 spl0_0|~spl0_2|spl0_5),
% 0.21/0.37 inference(split_clause,[status(thm)],[f13,f45,f52,f63])).
% 0.21/0.37 fof(f67,plain,(
% 0.21/0.37 spl0_6 <=> pd0_0(sk0_2)),
% 0.21/0.37 introduced(split_symbol_definition)).
% 0.21/0.37 fof(f69,plain,(
% 0.21/0.37 ~pd0_0(sk0_2)|spl0_6),
% 0.21/0.37 inference(component_clause,[status(thm)],[f67])).
% 0.21/0.37 fof(f70,plain,(
% 0.21/0.37 spl0_7 <=> pd0_1(sk0_3)),
% 0.21/0.37 introduced(split_symbol_definition)).
% 0.21/0.37 fof(f72,plain,(
% 0.21/0.37 ~pd0_1(sk0_3)|spl0_7),
% 0.21/0.37 inference(component_clause,[status(thm)],[f70])).
% 0.21/0.37 fof(f73,plain,(
% 0.21/0.37 ~spl0_6|~spl0_7|spl0_2),
% 0.21/0.37 inference(split_clause,[status(thm)],[f14,f67,f70,f52])).
% 0.21/0.37 fof(f74,plain,(
% 0.21/0.37 spl0_8 <=> big_p(sk0_5)),
% 0.21/0.37 introduced(split_symbol_definition)).
% 0.21/0.37 fof(f77,plain,(
% 0.21/0.37 ~spl0_6|~spl0_7|spl0_8),
% 0.21/0.37 inference(split_clause,[status(thm)],[f15,f67,f70,f74])).
% 0.21/0.37 fof(f78,plain,(
% 0.21/0.37 spl0_9 <=> big_r(sk0_4,sk0_5)),
% 0.21/0.37 introduced(split_symbol_definition)).
% 0.21/0.37 fof(f79,plain,(
% 0.21/0.37 big_r(sk0_4,sk0_5)|~spl0_9),
% 0.21/0.37 inference(component_clause,[status(thm)],[f78])).
% 0.21/0.37 fof(f81,plain,(
% 0.21/0.37 ~spl0_6|~spl0_7|spl0_9),
% 0.21/0.37 inference(split_clause,[status(thm)],[f16,f67,f70,f78])).
% 0.21/0.37 fof(f82,plain,(
% 0.21/0.37 spl0_10 <=> ~big_p(X0)|~big_r(sk0_4,X1)|~big_r(X1,X0)),
% 0.21/0.37 introduced(split_symbol_definition)).
% 0.21/0.37 fof(f83,plain,(
% 0.21/0.37 ![X0,X1]: (~big_p(X0)|~big_r(sk0_4,X1)|~big_r(X1,X0)|~spl0_10)),
% 0.21/0.37 inference(component_clause,[status(thm)],[f82])).
% 0.21/0.37 fof(f85,plain,(
% 0.21/0.37 ~spl0_6|~spl0_7|spl0_10),
% 0.21/0.37 inference(split_clause,[status(thm)],[f17,f67,f70,f82])).
% 0.21/0.37 fof(f86,plain,(
% 0.21/0.37 spl0_11 <=> ~pd0_0(X0)|pd0_2(X0)|big_p(sk0_6(X0))),
% 0.21/0.37 introduced(split_symbol_definition)).
% 0.21/0.37 fof(f87,plain,(
% 0.21/0.37 ![X0]: (~pd0_0(X0)|pd0_2(X0)|big_p(sk0_6(X0))|~spl0_11)),
% 0.21/0.37 inference(component_clause,[status(thm)],[f86])).
% 0.21/0.37 fof(f89,plain,(
% 0.21/0.37 spl0_11|~spl0_2),
% 0.21/0.37 inference(split_clause,[status(thm)],[f23,f86,f52])).
% 0.21/0.37 fof(f90,plain,(
% 0.21/0.37 spl0_12 <=> ~pd0_0(X0)|pd0_2(X0)|big_r(X0,sk0_7(X0))),
% 0.21/0.37 introduced(split_symbol_definition)).
% 0.21/0.37 fof(f91,plain,(
% 0.21/0.37 ![X0]: (~pd0_0(X0)|pd0_2(X0)|big_r(X0,sk0_7(X0))|~spl0_12)),
% 0.21/0.37 inference(component_clause,[status(thm)],[f90])).
% 0.21/0.37 fof(f93,plain,(
% 0.21/0.37 spl0_12|~spl0_2),
% 0.21/0.37 inference(split_clause,[status(thm)],[f24,f90,f52])).
% 0.21/0.37 fof(f94,plain,(
% 0.21/0.37 spl0_13 <=> ~pd0_0(X0)|pd0_2(X0)|big_r(sk0_7(X0),sk0_6(X0))),
% 0.21/0.37 introduced(split_symbol_definition)).
% 0.21/0.37 fof(f95,plain,(
% 0.21/0.37 ![X0]: (~pd0_0(X0)|pd0_2(X0)|big_r(sk0_7(X0),sk0_6(X0))|~spl0_13)),
% 0.21/0.37 inference(component_clause,[status(thm)],[f94])).
% 0.21/0.37 fof(f97,plain,(
% 0.21/0.37 spl0_13|~spl0_2),
% 0.21/0.37 inference(split_clause,[status(thm)],[f25,f94,f52])).
% 0.21/0.37 fof(f98,plain,(
% 0.21/0.37 spl0_0|spl0_2),
% 0.21/0.37 inference(split_clause,[status(thm)],[f26,f45,f52])).
% 0.21/0.37 fof(f99,plain,(
% 0.21/0.37 spl0_14 <=> ~pd0_1(X0)|big_p(X0)|big_p(sk0_8(X0))),
% 0.21/0.37 introduced(split_symbol_definition)).
% 0.21/0.37 fof(f100,plain,(
% 0.21/0.37 ![X0]: (~pd0_1(X0)|big_p(X0)|big_p(sk0_8(X0))|~spl0_14)),
% 0.21/0.37 inference(component_clause,[status(thm)],[f99])).
% 0.21/0.37 fof(f102,plain,(
% 0.21/0.37 spl0_14|~spl0_2),
% 0.21/0.37 inference(split_clause,[status(thm)],[f32,f99,f52])).
% 0.21/0.37 fof(f103,plain,(
% 0.21/0.37 spl0_15 <=> ~pd0_1(X0)|big_p(X0)|big_r(X0,sk0_9(X0))),
% 0.21/0.37 introduced(split_symbol_definition)).
% 0.21/0.37 fof(f104,plain,(
% 0.21/0.37 ![X0]: (~pd0_1(X0)|big_p(X0)|big_r(X0,sk0_9(X0))|~spl0_15)),
% 0.21/0.37 inference(component_clause,[status(thm)],[f103])).
% 0.21/0.37 fof(f106,plain,(
% 0.21/0.37 spl0_15|~spl0_2),
% 0.21/0.37 inference(split_clause,[status(thm)],[f33,f103,f52])).
% 0.21/0.37 fof(f107,plain,(
% 0.21/0.37 spl0_16 <=> ~pd0_1(X0)|big_p(X0)|big_r(sk0_9(X0),sk0_8(X0))),
% 0.21/0.37 introduced(split_symbol_definition)).
% 0.21/0.37 fof(f108,plain,(
% 0.21/0.37 ![X0]: (~pd0_1(X0)|big_p(X0)|big_r(sk0_9(X0),sk0_8(X0))|~spl0_16)),
% 0.21/0.37 inference(component_clause,[status(thm)],[f107])).
% 0.21/0.37 fof(f110,plain,(
% 0.21/0.37 spl0_16|~spl0_2),
% 0.21/0.37 inference(split_clause,[status(thm)],[f34,f107,f52])).
% 0.21/0.37 fof(f111,plain,(
% 0.21/0.37 spl0_1|spl0_2),
% 0.21/0.37 inference(split_clause,[status(thm)],[f35,f48,f52])).
% 0.21/0.37 fof(f113,plain,(
% 0.21/0.37 ![X0]: (pd0_2(X0)|big_p(sk0_6(X0))|~spl0_0|~spl0_11)),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f87,f46])).
% 0.21/0.37 fof(f116,plain,(
% 0.21/0.37 ![X0]: (pd0_2(X0)|big_r(X0,sk0_7(X0))|~spl0_0|~spl0_12)),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f91,f46])).
% 0.21/0.37 fof(f122,plain,(
% 0.21/0.37 ![X0]: (pd0_2(X0)|big_r(sk0_7(X0),sk0_6(X0))|~spl0_0|~spl0_13)),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f95,f46])).
% 0.21/0.37 fof(f123,plain,(
% 0.21/0.37 ![X0,X1]: (pd0_2(X0)|pd0_1(X1)|~big_p(sk0_6(X0))|~big_r(X1,sk0_7(X0))|~spl0_0|~spl0_13)),
% 0.21/0.37 inference(resolution,[status(thm)],[f122,f37])).
% 0.21/0.37 fof(f124,plain,(
% 0.21/0.37 ![X0,X1]: (pd0_2(X0)|pd0_1(X1)|~big_r(X1,sk0_7(X0))|~spl0_11|~spl0_0|~spl0_13)),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f123,f113])).
% 0.21/0.37 fof(f127,plain,(
% 0.21/0.37 ![X0]: (pd0_2(X0)|pd0_1(X0)|pd0_2(X0)|~spl0_11|~spl0_13|~spl0_0|~spl0_12)),
% 0.21/0.37 inference(resolution,[status(thm)],[f124,f116])).
% 0.21/0.37 fof(f128,plain,(
% 0.21/0.37 ![X0]: (pd0_2(X0)|pd0_1(X0)|~spl0_11|~spl0_13|~spl0_0|~spl0_12)),
% 0.21/0.37 inference(duplicate_literals_removal,[status(esa)],[f127])).
% 0.21/0.37 fof(f130,plain,(
% 0.21/0.37 ![X0]: (pd0_1(X0)|big_p(X0)|~spl0_11|~spl0_13|~spl0_0|~spl0_12)),
% 0.21/0.37 inference(resolution,[status(thm)],[f128,f41])).
% 0.21/0.37 fof(f131,plain,(
% 0.21/0.37 ![X0]: (pd0_1(X0)|~spl0_11|~spl0_13|~spl0_0|~spl0_12)),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f130,f36])).
% 0.21/0.37 fof(f134,plain,(
% 0.21/0.37 $false|~spl0_11|~spl0_13|~spl0_0|~spl0_12|spl0_7),
% 0.21/0.37 inference(backward_subsumption_resolution,[status(thm)],[f72,f131])).
% 0.21/0.37 fof(f135,plain,(
% 0.21/0.37 ~spl0_11|~spl0_13|~spl0_0|~spl0_12|spl0_7),
% 0.21/0.37 inference(contradiction_clause,[status(thm)],[f134])).
% 0.21/0.37 fof(f136,plain,(
% 0.21/0.37 $false|~spl0_0|spl0_6),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f69,f46])).
% 0.21/0.37 fof(f137,plain,(
% 0.21/0.37 ~spl0_0|spl0_6),
% 0.21/0.37 inference(contradiction_clause,[status(thm)],[f136])).
% 0.21/0.37 fof(f138,plain,(
% 0.21/0.37 $false|~spl0_1|spl0_7),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f72,f49])).
% 0.21/0.37 fof(f139,plain,(
% 0.21/0.37 ~spl0_1|spl0_7),
% 0.21/0.37 inference(contradiction_clause,[status(thm)],[f138])).
% 0.21/0.37 fof(f140,plain,(
% 0.21/0.37 ![X0]: (big_p(X0)|big_p(sk0_8(X0))|~spl0_1|~spl0_14)),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f100,f49])).
% 0.21/0.37 fof(f143,plain,(
% 0.21/0.37 ![X0]: (big_p(X0)|big_r(sk0_9(X0),sk0_8(X0))|~spl0_1|~spl0_16)),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f108,f49])).
% 0.21/0.37 fof(f154,plain,(
% 0.21/0.37 ![X0]: (big_p(X0)|big_r(X0,sk0_9(X0))|~spl0_1|~spl0_15)),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f104,f49])).
% 0.21/0.37 fof(f164,plain,(
% 0.21/0.37 ![X0,X1,X2]: (pd0_0(X0)|~big_p(sk0_0(X1))|~big_r(X0,sk0_1(X1))|~big_p(X2)|~big_r(X1,X2)|~spl0_5)),
% 0.21/0.37 inference(resolution,[status(thm)],[f28,f64])).
% 0.21/0.37 fof(f165,plain,(
% 0.21/0.37 ![X0,X1,X2]: (pd0_0(X0)|~big_r(X0,sk0_1(X1))|~big_p(X2)|~big_r(X1,X2)|~spl0_3|~spl0_5)),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f164,f56])).
% 0.21/0.37 fof(f166,plain,(
% 0.21/0.37 ![X0,X1]: (pd0_0(X0)|~big_p(sk0_8(X1))|~big_r(X0,sk0_9(X1))|big_p(X1)|~spl0_1|~spl0_16)),
% 0.21/0.37 inference(resolution,[status(thm)],[f28,f143])).
% 0.21/0.37 fof(f167,plain,(
% 0.21/0.37 ![X0,X1]: (pd0_0(X0)|~big_r(X0,sk0_9(X1))|big_p(X1)|~spl0_14|~spl0_1|~spl0_16)),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f166,f140])).
% 0.21/0.37 fof(f171,plain,(
% 0.21/0.37 ![X0,X1]: (pd0_0(X0)|~big_p(sk0_10(X1))|~big_r(X0,X1)|pd0_2(X1)|~big_p(X1))),
% 0.21/0.37 inference(resolution,[status(thm)],[f28,f44])).
% 0.21/0.37 fof(f172,plain,(
% 0.21/0.37 ![X0,X1]: (pd0_0(X0)|~big_r(X0,X1)|pd0_2(X1)|~big_p(X1))),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f171,f43])).
% 0.21/0.37 fof(f173,plain,(
% 0.21/0.37 ![X0]: (pd0_0(X0)|big_p(X0)|big_p(X0)|~spl0_14|~spl0_16|~spl0_1|~spl0_15)),
% 0.21/0.37 inference(resolution,[status(thm)],[f167,f154])).
% 0.21/0.37 fof(f174,plain,(
% 0.21/0.37 ![X0]: (pd0_0(X0)|big_p(X0)|~spl0_14|~spl0_16|~spl0_1|~spl0_15)),
% 0.21/0.37 inference(duplicate_literals_removal,[status(esa)],[f173])).
% 0.21/0.37 fof(f184,plain,(
% 0.21/0.37 ![X0]: (pd0_0(X0)|pd0_2(sk0_10(X0))|~big_p(sk0_10(X0))|pd0_2(X0)|~big_p(X0))),
% 0.21/0.37 inference(resolution,[status(thm)],[f172,f44])).
% 0.21/0.37 fof(f185,plain,(
% 0.21/0.37 ![X0]: (pd0_0(X0)|pd0_2(sk0_10(X0))|~big_p(sk0_10(X0))|~big_p(X0))),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f184,f27])).
% 0.21/0.37 fof(f200,plain,(
% 0.21/0.37 ![X0,X1,X2]: (pd0_0(X0)|~big_p(X1)|~big_r(X0,X1)|~big_p(X2)|~big_r(X0,X2)|~spl0_3|~spl0_5|~spl0_4)),
% 0.21/0.37 inference(resolution,[status(thm)],[f165,f60])).
% 0.21/0.37 fof(f203,plain,(
% 0.21/0.37 ![X0]: (pd0_0(X0)|pd0_2(sk0_10(X0))|~big_p(sk0_10(X0))|~spl0_14|~spl0_16|~spl0_1|~spl0_15)),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f185,f174])).
% 0.21/0.37 fof(f204,plain,(
% 0.21/0.37 ![X0]: (pd0_0(X0)|pd0_2(sk0_10(X0))|pd0_2(X0)|~big_p(X0)|~spl0_14|~spl0_16|~spl0_1|~spl0_15)),
% 0.21/0.37 inference(resolution,[status(thm)],[f203,f43])).
% 0.21/0.37 fof(f205,plain,(
% 0.21/0.37 ![X0]: (pd0_0(X0)|pd0_2(sk0_10(X0))|~big_p(X0)|~spl0_14|~spl0_16|~spl0_1|~spl0_15)),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f204,f27])).
% 0.21/0.37 fof(f206,plain,(
% 0.21/0.37 ![X0]: (pd0_0(X0)|pd0_2(sk0_10(X0))|~spl0_14|~spl0_16|~spl0_1|~spl0_15)),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f205,f174])).
% 0.21/0.37 fof(f208,plain,(
% 0.21/0.37 ![X0]: (pd0_0(X0)|big_p(sk0_10(X0))|~spl0_14|~spl0_16|~spl0_1|~spl0_15)),
% 0.21/0.37 inference(resolution,[status(thm)],[f206,f41])).
% 0.21/0.37 fof(f230,plain,(
% 0.21/0.37 ![X0,X1]: (pd0_0(X0)|~big_p(X1)|~big_r(X0,X1)|~big_p(sk0_10(X0))|pd0_2(X0)|~big_p(X0)|~spl0_3|~spl0_5|~spl0_4)),
% 0.21/0.37 inference(resolution,[status(thm)],[f200,f44])).
% 0.21/0.37 fof(f231,plain,(
% 0.21/0.37 ![X0,X1]: (pd0_0(X0)|~big_p(X1)|~big_r(X0,X1)|~big_p(sk0_10(X0))|pd0_2(X0)|~spl0_14|~spl0_16|~spl0_1|~spl0_15|~spl0_3|~spl0_5|~spl0_4)),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f230,f174])).
% 0.21/0.37 fof(f241,plain,(
% 0.21/0.37 ![X0,X1]: (pd0_0(X0)|~big_p(X1)|~big_r(X0,X1)|pd0_2(X0)|~spl0_14|~spl0_16|~spl0_1|~spl0_15|~spl0_3|~spl0_5|~spl0_4)),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f231,f208])).
% 0.21/0.37 fof(f249,plain,(
% 0.21/0.37 ![X0]: (pd0_0(X0)|~big_p(sk0_10(X0))|pd0_2(X0)|pd0_2(X0)|~big_p(X0)|~spl0_14|~spl0_16|~spl0_1|~spl0_15|~spl0_3|~spl0_5|~spl0_4)),
% 0.21/0.37 inference(resolution,[status(thm)],[f241,f44])).
% 0.21/0.37 fof(f250,plain,(
% 0.21/0.37 ![X0]: (pd0_0(X0)|~big_p(sk0_10(X0))|pd0_2(X0)|~big_p(X0)|~spl0_14|~spl0_16|~spl0_1|~spl0_15|~spl0_3|~spl0_5|~spl0_4)),
% 0.21/0.37 inference(duplicate_literals_removal,[status(esa)],[f249])).
% 0.21/0.37 fof(f251,plain,(
% 0.21/0.37 ![X0]: (pd0_0(X0)|~big_p(sk0_10(X0))|pd0_2(X0)|~spl0_14|~spl0_16|~spl0_1|~spl0_15|~spl0_3|~spl0_5|~spl0_4)),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f250,f174])).
% 0.21/0.37 fof(f252,plain,(
% 0.21/0.37 ![X0]: (pd0_0(X0)|pd0_2(X0)|~spl0_14|~spl0_16|~spl0_1|~spl0_15|~spl0_3|~spl0_5|~spl0_4)),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f251,f208])).
% 0.21/0.37 fof(f263,plain,(
% 0.21/0.37 ![X0]: (pd0_0(X0)|~spl0_14|~spl0_16|~spl0_1|~spl0_15|~spl0_3|~spl0_5|~spl0_4)),
% 0.21/0.37 inference(backward_subsumption_resolution,[status(thm)],[f27,f252])).
% 0.21/0.37 fof(f264,plain,(
% 0.21/0.37 spl0_0|~spl0_14|~spl0_16|~spl0_1|~spl0_15|~spl0_3|~spl0_5|~spl0_4),
% 0.21/0.37 inference(split_clause,[status(thm)],[f263,f45,f99,f107,f48,f103,f55,f63,f59])).
% 0.21/0.37 fof(f269,plain,(
% 0.21/0.37 spl0_17 <=> pd0_2(sk0_4)),
% 0.21/0.37 introduced(split_symbol_definition)).
% 0.21/0.37 fof(f271,plain,(
% 0.21/0.37 ~pd0_2(sk0_4)|spl0_17),
% 0.21/0.37 inference(component_clause,[status(thm)],[f269])).
% 0.21/0.37 fof(f272,plain,(
% 0.21/0.37 ~pd0_2(sk0_4)|~big_p(sk0_5)|~spl0_9),
% 0.21/0.37 inference(resolution,[status(thm)],[f79,f42])).
% 0.21/0.37 fof(f273,plain,(
% 0.21/0.37 ~spl0_17|~spl0_8|~spl0_9),
% 0.21/0.37 inference(split_clause,[status(thm)],[f272,f269,f74,f78])).
% 0.21/0.37 fof(f284,plain,(
% 0.21/0.37 spl0_20 <=> ~big_p(X0)|~big_r(sk0_7(sk0_4),X0)),
% 0.21/0.37 introduced(split_symbol_definition)).
% 0.21/0.37 fof(f285,plain,(
% 0.21/0.37 ![X0]: (~big_p(X0)|~big_r(sk0_7(sk0_4),X0)|~spl0_20)),
% 0.21/0.37 inference(component_clause,[status(thm)],[f284])).
% 0.21/0.37 fof(f287,plain,(
% 0.21/0.37 ![X0]: (~big_p(X0)|~big_r(sk0_7(sk0_4),X0)|pd0_2(sk0_4)|~spl0_10|~spl0_0|~spl0_12)),
% 0.21/0.37 inference(resolution,[status(thm)],[f83,f116])).
% 0.21/0.37 fof(f288,plain,(
% 0.21/0.37 spl0_20|spl0_17|~spl0_10|~spl0_0|~spl0_12),
% 0.21/0.37 inference(split_clause,[status(thm)],[f287,f284,f269,f82,f45,f90])).
% 0.21/0.37 fof(f317,plain,(
% 0.21/0.37 spl0_26 <=> big_p(sk0_6(sk0_4))),
% 0.21/0.37 introduced(split_symbol_definition)).
% 0.21/0.37 fof(f319,plain,(
% 0.21/0.37 ~big_p(sk0_6(sk0_4))|spl0_26),
% 0.21/0.37 inference(component_clause,[status(thm)],[f317])).
% 0.21/0.37 fof(f320,plain,(
% 0.21/0.37 ~big_p(sk0_6(sk0_4))|pd0_2(sk0_4)|~spl0_20|~spl0_0|~spl0_13),
% 0.21/0.37 inference(resolution,[status(thm)],[f285,f122])).
% 0.21/0.37 fof(f321,plain,(
% 0.21/0.37 ~spl0_26|spl0_17|~spl0_20|~spl0_0|~spl0_13),
% 0.21/0.37 inference(split_clause,[status(thm)],[f320,f317,f269,f284,f45,f94])).
% 0.21/0.37 fof(f343,plain,(
% 0.21/0.37 pd0_2(sk0_4)|spl0_26|~spl0_0|~spl0_11),
% 0.21/0.37 inference(resolution,[status(thm)],[f319,f113])).
% 0.21/0.37 fof(f344,plain,(
% 0.21/0.37 $false|spl0_17|spl0_26|~spl0_0|~spl0_11),
% 0.21/0.37 inference(forward_subsumption_resolution,[status(thm)],[f343,f271])).
% 0.21/0.37 fof(f345,plain,(
% 0.21/0.37 spl0_17|spl0_26|~spl0_0|~spl0_11),
% 0.21/0.37 inference(contradiction_clause,[status(thm)],[f344])).
% 0.21/0.37 fof(f346,plain,(
% 0.21/0.37 $false),
% 0.21/0.37 inference(sat_refutation,[status(thm)],[f51,f58,f62,f66,f73,f77,f81,f85,f89,f93,f97,f98,f102,f106,f110,f111,f135,f137,f139,f264,f273,f288,f321,f345])).
% 0.21/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.38 % Elapsed time: 0.033991 seconds
% 0.21/0.38 % CPU time: 0.147018 seconds
% 0.21/0.38 % Memory used: 3.880 MB
%------------------------------------------------------------------------------