TSTP Solution File: SYN036+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN036+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 20:51:03 EDT 2024
% Result : Theorem 0.15s 0.36s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN036+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.34 % Computer : n013.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon Apr 29 21:47:04 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Drodi V3.6.0
% 0.15/0.36 % Refutation found
% 0.15/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.36 fof(f1,conjecture,(
% 0.15/0.36 ( ( (? [X] :(! [Y] :( big_p(X)<=> big_p(Y) )))<=> ( (? [U] : big_q(U))<=> (! [W] : big_q(W) )) )<=> ( (? [X1] :(! [Y1] :( big_q(X1)<=> big_q(Y1) )))<=> ( (? [U1] : big_p(U1))<=> (! [W1] : big_p(W1) )) ) ) ),
% 0.15/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.36 fof(f2,negated_conjecture,(
% 0.15/0.36 ~(( ( (? [X] :(! [Y] :( big_p(X)<=> big_p(Y) )))<=> ( (? [U] : big_q(U))<=> (! [W] : big_q(W) )) )<=> ( (? [X1] :(! [Y1] :( big_q(X1)<=> big_q(Y1) )))<=> ( (? [U1] : big_p(U1))<=> (! [W1] : big_p(W1) )) ) ) )),
% 0.15/0.36 inference(negated_conjecture,[status(cth)],[f1])).
% 0.15/0.36 fof(f3,plain,(
% 0.15/0.36 (((?[X]: ![Y]: (big_p(X)<=>big_p(Y)))<=>((?[U]: big_q(U))<=>(![W]: big_q(W))))<~>((?[X1]: ![Y1]: (big_q(X1)<=>big_q(Y1)))<=>((?[U1]: big_p(U1))<=>(![W1]: big_p(W1)))))),
% 0.15/0.36 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.15/0.36 fof(f4,plain,(
% 0.15/0.36 pd0_0<=>((?[X]: ![Y]: (big_p(X)<=>big_p(Y)))<=>((?[U]: big_q(U))<=>(![W]: big_q(W))))),
% 0.15/0.36 introduced(predicate_definition,[f3])).
% 0.15/0.36 fof(f5,plain,(
% 0.15/0.36 pd0_0<~>((?[X1]: ![Y1]: (big_q(X1)<=>big_q(Y1)))<=>((?[U1]: big_p(U1))<=>(![W1]: big_p(W1))))),
% 0.15/0.36 inference(formula_renaming,[status(thm)],[f3,f4])).
% 0.15/0.36 fof(f6,plain,(
% 0.15/0.36 ![X1,Y1]: (pd0_1(Y1,X1)<=>(big_q(X1)<=>big_q(Y1)))),
% 0.15/0.36 introduced(predicate_definition,[f5])).
% 0.15/0.36 fof(f7,plain,(
% 0.15/0.36 pd0_2<=>((?[U1]: big_p(U1))<=>(![W1]: big_p(W1)))),
% 0.15/0.36 introduced(predicate_definition,[f5])).
% 0.15/0.36 fof(f8,plain,(
% 0.15/0.36 pd0_0<~>((?[X1]: ![Y1]: pd0_1(Y1,X1))<=>pd0_2)),
% 0.15/0.36 inference(formula_renaming,[status(thm)],[f5,f7,f6])).
% 0.15/0.36 fof(f9,plain,(
% 0.15/0.36 (pd0_0|(((![X1]: ?[Y1]: ~pd0_1(Y1,X1))|pd0_2)&((?[X1]: ![Y1]: pd0_1(Y1,X1))|~pd0_2)))&(~pd0_0|(((![X1]: ?[Y1]: ~pd0_1(Y1,X1))|~pd0_2)&((?[X1]: ![Y1]: pd0_1(Y1,X1))|pd0_2)))),
% 0.15/0.36 inference(NNF_transformation,[status(esa)],[f8])).
% 0.15/0.36 fof(f10,plain,(
% 0.15/0.36 (pd0_0|(((![X1]: ~pd0_1(sk0_0(X1),X1))|pd0_2)&(![Y1]: pd0_1(Y1,sk0_1)|~pd0_2)))&(~pd0_0|(((![X1]: ~pd0_1(sk0_2(X1),X1))|~pd0_2)&(![Y1]: pd0_1(Y1,sk0_3)|pd0_2)))),
% 0.15/0.36 inference(skolemization,[status(esa)],[f9])).
% 0.15/0.36 fof(f11,plain,(
% 0.15/0.36 ![X0]: (pd0_0|~pd0_1(sk0_0(X0),X0)|pd0_2)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f10])).
% 0.15/0.36 fof(f12,plain,(
% 0.15/0.36 ![X0]: (pd0_0|pd0_1(X0,sk0_1)|~pd0_2)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f10])).
% 0.15/0.36 fof(f13,plain,(
% 0.15/0.36 ![X0]: (~pd0_0|~pd0_1(sk0_2(X0),X0)|~pd0_2)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f10])).
% 0.15/0.36 fof(f14,plain,(
% 0.15/0.36 ![X0]: (~pd0_0|pd0_1(X0,sk0_3)|pd0_2)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f10])).
% 0.15/0.36 fof(f15,plain,(
% 0.15/0.36 ![X,Y]: (pd0_3(Y,X)<=>(big_p(X)<=>big_p(Y)))),
% 0.15/0.36 introduced(predicate_definition,[f4])).
% 0.15/0.36 fof(f16,plain,(
% 0.15/0.36 pd0_4<=>((?[U]: big_q(U))<=>(![W]: big_q(W)))),
% 0.15/0.36 introduced(predicate_definition,[f4])).
% 0.15/0.36 fof(f17,plain,(
% 0.15/0.36 pd0_0<=>((?[X]: ![Y]: pd0_3(Y,X))<=>pd0_4)),
% 0.15/0.36 inference(formula_renaming,[status(thm)],[f4,f16,f15])).
% 0.15/0.36 fof(f18,plain,(
% 0.15/0.36 (~pd0_0|(((![X]: ?[Y]: ~pd0_3(Y,X))|pd0_4)&((?[X]: ![Y]: pd0_3(Y,X))|~pd0_4)))&(pd0_0|(((![X]: ?[Y]: ~pd0_3(Y,X))|~pd0_4)&((?[X]: ![Y]: pd0_3(Y,X))|pd0_4)))),
% 0.15/0.36 inference(NNF_transformation,[status(esa)],[f17])).
% 0.15/0.36 fof(f19,plain,(
% 0.15/0.36 (~pd0_0|(((![X]: ~pd0_3(sk0_4(X),X))|pd0_4)&(![Y]: pd0_3(Y,sk0_5)|~pd0_4)))&(pd0_0|(((![X]: ~pd0_3(sk0_6(X),X))|~pd0_4)&(![Y]: pd0_3(Y,sk0_7)|pd0_4)))),
% 0.15/0.36 inference(skolemization,[status(esa)],[f18])).
% 0.15/0.36 fof(f20,plain,(
% 0.15/0.36 ![X0]: (~pd0_0|~pd0_3(sk0_4(X0),X0)|pd0_4)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f19])).
% 0.15/0.36 fof(f21,plain,(
% 0.15/0.36 ![X0]: (~pd0_0|pd0_3(X0,sk0_5)|~pd0_4)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f19])).
% 0.15/0.36 fof(f22,plain,(
% 0.15/0.36 ![X0]: (pd0_0|~pd0_3(sk0_6(X0),X0)|~pd0_4)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f19])).
% 0.15/0.36 fof(f23,plain,(
% 0.15/0.36 ![X0]: (pd0_0|pd0_3(X0,sk0_7)|pd0_4)),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f19])).
% 0.15/0.36 fof(f24,plain,(
% 0.15/0.36 ![X1,Y1]: ((~pd0_1(Y1,X1)|((~big_q(X1)|big_q(Y1))&(big_q(X1)|~big_q(Y1))))&(pd0_1(Y1,X1)|((~big_q(X1)|~big_q(Y1))&(big_q(X1)|big_q(Y1)))))),
% 0.15/0.36 inference(NNF_transformation,[status(esa)],[f6])).
% 0.15/0.36 fof(f25,plain,(
% 0.15/0.36 (![X1,Y1]: (~pd0_1(Y1,X1)|((~big_q(X1)|big_q(Y1))&(big_q(X1)|~big_q(Y1)))))&(![X1,Y1]: (pd0_1(Y1,X1)|((~big_q(X1)|~big_q(Y1))&(big_q(X1)|big_q(Y1)))))),
% 0.15/0.36 inference(miniscoping,[status(esa)],[f24])).
% 0.15/0.36 fof(f26,plain,(
% 0.15/0.36 ![X0,X1]: (~pd0_1(X0,X1)|~big_q(X1)|big_q(X0))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f25])).
% 0.15/0.36 fof(f27,plain,(
% 0.15/0.36 ![X0,X1]: (~pd0_1(X0,X1)|big_q(X1)|~big_q(X0))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f25])).
% 0.15/0.36 fof(f28,plain,(
% 0.15/0.36 ![X0,X1]: (pd0_1(X0,X1)|~big_q(X1)|~big_q(X0))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f25])).
% 0.15/0.36 fof(f29,plain,(
% 0.15/0.36 ![X0,X1]: (pd0_1(X0,X1)|big_q(X1)|big_q(X0))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f25])).
% 0.15/0.36 fof(f30,plain,(
% 0.15/0.36 (~pd0_2|(((![U1]: ~big_p(U1))|(![W1]: big_p(W1)))&((?[U1]: big_p(U1))|(?[W1]: ~big_p(W1)))))&(pd0_2|(((![U1]: ~big_p(U1))|(?[W1]: ~big_p(W1)))&((?[U1]: big_p(U1))|(![W1]: big_p(W1)))))),
% 0.15/0.36 inference(NNF_transformation,[status(esa)],[f7])).
% 0.15/0.36 fof(f31,plain,(
% 0.15/0.36 (~pd0_2|(((![U1]: ~big_p(U1))|(![W1]: big_p(W1)))&(big_p(sk0_8)|~big_p(sk0_9))))&(pd0_2|(((![U1]: ~big_p(U1))|~big_p(sk0_10))&(big_p(sk0_11)|(![W1]: big_p(W1)))))),
% 0.15/0.36 inference(skolemization,[status(esa)],[f30])).
% 0.15/0.36 fof(f32,plain,(
% 0.15/0.36 ![X0,X1]: (~pd0_2|~big_p(X0)|big_p(X1))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f31])).
% 0.15/0.36 fof(f34,plain,(
% 0.15/0.36 ![X0]: (pd0_2|~big_p(X0)|~big_p(sk0_10))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f31])).
% 0.15/0.36 fof(f35,plain,(
% 0.15/0.36 ![X0]: (pd0_2|big_p(sk0_11)|big_p(X0))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f31])).
% 0.15/0.36 fof(f36,plain,(
% 0.15/0.36 ![X,Y]: ((~pd0_3(Y,X)|((~big_p(X)|big_p(Y))&(big_p(X)|~big_p(Y))))&(pd0_3(Y,X)|((~big_p(X)|~big_p(Y))&(big_p(X)|big_p(Y)))))),
% 0.15/0.36 inference(NNF_transformation,[status(esa)],[f15])).
% 0.15/0.36 fof(f37,plain,(
% 0.15/0.36 (![X,Y]: (~pd0_3(Y,X)|((~big_p(X)|big_p(Y))&(big_p(X)|~big_p(Y)))))&(![X,Y]: (pd0_3(Y,X)|((~big_p(X)|~big_p(Y))&(big_p(X)|big_p(Y)))))),
% 0.15/0.36 inference(miniscoping,[status(esa)],[f36])).
% 0.15/0.36 fof(f38,plain,(
% 0.15/0.36 ![X0,X1]: (~pd0_3(X0,X1)|~big_p(X1)|big_p(X0))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f37])).
% 0.15/0.36 fof(f39,plain,(
% 0.15/0.36 ![X0,X1]: (~pd0_3(X0,X1)|big_p(X1)|~big_p(X0))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f37])).
% 0.15/0.36 fof(f40,plain,(
% 0.15/0.36 ![X0,X1]: (pd0_3(X0,X1)|~big_p(X1)|~big_p(X0))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f37])).
% 0.15/0.36 fof(f41,plain,(
% 0.15/0.36 ![X0,X1]: (pd0_3(X0,X1)|big_p(X1)|big_p(X0))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f37])).
% 0.15/0.36 fof(f42,plain,(
% 0.15/0.36 (~pd0_4|(((![U]: ~big_q(U))|(![W]: big_q(W)))&((?[U]: big_q(U))|(?[W]: ~big_q(W)))))&(pd0_4|(((![U]: ~big_q(U))|(?[W]: ~big_q(W)))&((?[U]: big_q(U))|(![W]: big_q(W)))))),
% 0.15/0.36 inference(NNF_transformation,[status(esa)],[f16])).
% 0.15/0.36 fof(f43,plain,(
% 0.15/0.36 (~pd0_4|(((![U]: ~big_q(U))|(![W]: big_q(W)))&(big_q(sk0_12)|~big_q(sk0_13))))&(pd0_4|(((![U]: ~big_q(U))|~big_q(sk0_14))&(big_q(sk0_15)|(![W]: big_q(W)))))),
% 0.15/0.36 inference(skolemization,[status(esa)],[f42])).
% 0.15/0.36 fof(f44,plain,(
% 0.15/0.36 ![X0,X1]: (~pd0_4|~big_q(X0)|big_q(X1))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f43])).
% 0.15/0.36 fof(f46,plain,(
% 0.15/0.36 ![X0]: (pd0_4|~big_q(X0)|~big_q(sk0_14))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f43])).
% 0.15/0.36 fof(f47,plain,(
% 0.15/0.36 ![X0]: (pd0_4|big_q(sk0_15)|big_q(X0))),
% 0.15/0.36 inference(cnf_transformation,[status(esa)],[f43])).
% 0.15/0.36 fof(f48,plain,(
% 0.15/0.36 spl0_0 <=> pd0_0),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f51,plain,(
% 0.15/0.36 spl0_1 <=> ~pd0_1(sk0_0(X0),X0)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f52,plain,(
% 0.15/0.36 ![X0]: (~pd0_1(sk0_0(X0),X0)|~spl0_1)),
% 0.15/0.36 inference(component_clause,[status(thm)],[f51])).
% 0.15/0.36 fof(f54,plain,(
% 0.15/0.36 spl0_2 <=> pd0_2),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f57,plain,(
% 0.15/0.36 spl0_0|spl0_1|spl0_2),
% 0.15/0.36 inference(split_clause,[status(thm)],[f11,f48,f51,f54])).
% 0.15/0.36 fof(f58,plain,(
% 0.15/0.36 spl0_3 <=> pd0_1(X0,sk0_1)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f59,plain,(
% 0.15/0.36 ![X0]: (pd0_1(X0,sk0_1)|~spl0_3)),
% 0.15/0.36 inference(component_clause,[status(thm)],[f58])).
% 0.15/0.36 fof(f61,plain,(
% 0.15/0.36 spl0_0|spl0_3|~spl0_2),
% 0.15/0.36 inference(split_clause,[status(thm)],[f12,f48,f58,f54])).
% 0.15/0.36 fof(f62,plain,(
% 0.15/0.36 spl0_4 <=> ~pd0_1(sk0_2(X0),X0)),
% 0.15/0.36 introduced(split_symbol_definition)).
% 0.15/0.36 fof(f63,plain,(
% 0.15/0.36 ![X0]: (~pd0_1(sk0_2(X0),X0)|~spl0_4)),
% 0.15/0.36 inference(component_clause,[status(thm)],[f62])).
% 0.15/0.36 fof(f65,plain,(
% 0.15/0.37 ~spl0_0|spl0_4|~spl0_2),
% 0.15/0.37 inference(split_clause,[status(thm)],[f13,f48,f62,f54])).
% 0.15/0.37 fof(f66,plain,(
% 0.15/0.37 spl0_5 <=> pd0_1(X0,sk0_3)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f67,plain,(
% 0.15/0.37 ![X0]: (pd0_1(X0,sk0_3)|~spl0_5)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f66])).
% 0.15/0.37 fof(f69,plain,(
% 0.15/0.37 ~spl0_0|spl0_5|spl0_2),
% 0.15/0.37 inference(split_clause,[status(thm)],[f14,f48,f66,f54])).
% 0.15/0.37 fof(f70,plain,(
% 0.15/0.37 spl0_6 <=> ~pd0_3(sk0_4(X0),X0)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f71,plain,(
% 0.15/0.37 ![X0]: (~pd0_3(sk0_4(X0),X0)|~spl0_6)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f70])).
% 0.15/0.37 fof(f73,plain,(
% 0.15/0.37 spl0_7 <=> pd0_4),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f76,plain,(
% 0.15/0.37 ~spl0_0|spl0_6|spl0_7),
% 0.15/0.37 inference(split_clause,[status(thm)],[f20,f48,f70,f73])).
% 0.15/0.37 fof(f77,plain,(
% 0.15/0.37 spl0_8 <=> pd0_3(X0,sk0_5)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f78,plain,(
% 0.15/0.37 ![X0]: (pd0_3(X0,sk0_5)|~spl0_8)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f77])).
% 0.15/0.37 fof(f80,plain,(
% 0.15/0.37 ~spl0_0|spl0_8|~spl0_7),
% 0.15/0.37 inference(split_clause,[status(thm)],[f21,f48,f77,f73])).
% 0.15/0.37 fof(f81,plain,(
% 0.15/0.37 spl0_9 <=> ~pd0_3(sk0_6(X0),X0)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f82,plain,(
% 0.15/0.37 ![X0]: (~pd0_3(sk0_6(X0),X0)|~spl0_9)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f81])).
% 0.15/0.37 fof(f84,plain,(
% 0.15/0.37 spl0_0|spl0_9|~spl0_7),
% 0.15/0.37 inference(split_clause,[status(thm)],[f22,f48,f81,f73])).
% 0.15/0.37 fof(f85,plain,(
% 0.15/0.37 spl0_10 <=> pd0_3(X0,sk0_7)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f86,plain,(
% 0.15/0.37 ![X0]: (pd0_3(X0,sk0_7)|~spl0_10)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f85])).
% 0.15/0.37 fof(f88,plain,(
% 0.15/0.37 spl0_0|spl0_10|spl0_7),
% 0.15/0.37 inference(split_clause,[status(thm)],[f23,f48,f85,f73])).
% 0.15/0.37 fof(f89,plain,(
% 0.15/0.37 spl0_11 <=> ~big_p(X0)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f90,plain,(
% 0.15/0.37 ![X0]: (~big_p(X0)|~spl0_11)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f89])).
% 0.15/0.37 fof(f92,plain,(
% 0.15/0.37 spl0_12 <=> big_p(X1)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f93,plain,(
% 0.15/0.37 ![X0]: (big_p(X0)|~spl0_12)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f92])).
% 0.15/0.37 fof(f95,plain,(
% 0.15/0.37 ~spl0_2|spl0_11|spl0_12),
% 0.15/0.37 inference(split_clause,[status(thm)],[f32,f54,f89,f92])).
% 0.15/0.37 fof(f103,plain,(
% 0.15/0.37 spl0_15 <=> big_p(sk0_10)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f105,plain,(
% 0.15/0.37 ~big_p(sk0_10)|spl0_15),
% 0.15/0.37 inference(component_clause,[status(thm)],[f103])).
% 0.15/0.37 fof(f106,plain,(
% 0.15/0.37 spl0_2|spl0_11|~spl0_15),
% 0.15/0.37 inference(split_clause,[status(thm)],[f34,f54,f89,f103])).
% 0.15/0.37 fof(f107,plain,(
% 0.15/0.37 spl0_16 <=> big_p(sk0_11)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f108,plain,(
% 0.15/0.37 big_p(sk0_11)|~spl0_16),
% 0.15/0.37 inference(component_clause,[status(thm)],[f107])).
% 0.15/0.37 fof(f110,plain,(
% 0.15/0.37 spl0_2|spl0_16|spl0_12),
% 0.15/0.37 inference(split_clause,[status(thm)],[f35,f54,f107,f92])).
% 0.15/0.37 fof(f111,plain,(
% 0.15/0.37 spl0_17 <=> ~big_q(X0)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f112,plain,(
% 0.15/0.37 ![X0]: (~big_q(X0)|~spl0_17)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f111])).
% 0.15/0.37 fof(f114,plain,(
% 0.15/0.37 spl0_18 <=> big_q(X1)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f115,plain,(
% 0.15/0.37 ![X0]: (big_q(X0)|~spl0_18)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f114])).
% 0.15/0.37 fof(f117,plain,(
% 0.15/0.37 ~spl0_7|spl0_17|spl0_18),
% 0.15/0.37 inference(split_clause,[status(thm)],[f44,f73,f111,f114])).
% 0.15/0.37 fof(f125,plain,(
% 0.15/0.37 spl0_21 <=> big_q(sk0_14)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f127,plain,(
% 0.15/0.37 ~big_q(sk0_14)|spl0_21),
% 0.15/0.37 inference(component_clause,[status(thm)],[f125])).
% 0.15/0.37 fof(f128,plain,(
% 0.15/0.37 spl0_7|spl0_17|~spl0_21),
% 0.15/0.37 inference(split_clause,[status(thm)],[f46,f73,f111,f125])).
% 0.15/0.37 fof(f129,plain,(
% 0.15/0.37 spl0_22 <=> big_q(sk0_15)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f130,plain,(
% 0.15/0.37 big_q(sk0_15)|~spl0_22),
% 0.15/0.37 inference(component_clause,[status(thm)],[f129])).
% 0.15/0.37 fof(f132,plain,(
% 0.15/0.37 spl0_7|spl0_22|spl0_18),
% 0.15/0.37 inference(split_clause,[status(thm)],[f47,f73,f129,f114])).
% 0.15/0.37 fof(f133,plain,(
% 0.15/0.37 $false|~spl0_18|~spl0_17),
% 0.15/0.37 inference(forward_subsumption_resolution,[status(thm)],[f112,f115])).
% 0.15/0.37 fof(f134,plain,(
% 0.15/0.37 ~spl0_18|~spl0_17),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f133])).
% 0.15/0.37 fof(f135,plain,(
% 0.15/0.37 $false|~spl0_12|~spl0_11),
% 0.15/0.37 inference(forward_subsumption_resolution,[status(thm)],[f90,f93])).
% 0.15/0.37 fof(f136,plain,(
% 0.15/0.37 ~spl0_12|~spl0_11),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f135])).
% 0.15/0.37 fof(f143,plain,(
% 0.15/0.37 spl0_23 <=> big_q(X0)|big_q(X0)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f144,plain,(
% 0.15/0.37 ![X0]: (big_q(X0)|big_q(X0)|~spl0_23)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f143])).
% 0.15/0.37 fof(f146,plain,(
% 0.15/0.37 spl0_24 <=> big_q(X1)|~big_q(X1)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f149,plain,(
% 0.15/0.37 ![X0,X1]: (big_q(X0)|big_q(X1)|big_q(X0)|~big_q(X1))),
% 0.15/0.37 inference(resolution,[status(thm)],[f29,f27])).
% 0.15/0.37 fof(f150,plain,(
% 0.15/0.37 spl0_23|spl0_24),
% 0.15/0.37 inference(split_clause,[status(thm)],[f149,f143,f146])).
% 0.15/0.37 fof(f153,plain,(
% 0.15/0.37 ![X0]: (big_q(X0)|~spl0_23)),
% 0.15/0.37 inference(duplicate_literals_removal,[status(esa)],[f144])).
% 0.15/0.37 fof(f156,plain,(
% 0.15/0.37 $false|~spl0_23|spl0_21),
% 0.15/0.37 inference(backward_subsumption_resolution,[status(thm)],[f127,f153])).
% 0.15/0.37 fof(f157,plain,(
% 0.15/0.37 ~spl0_23|spl0_21),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f156])).
% 0.15/0.37 fof(f158,plain,(
% 0.15/0.37 $false|~spl0_17|~spl0_22),
% 0.15/0.37 inference(backward_subsumption_resolution,[status(thm)],[f130,f112])).
% 0.15/0.37 fof(f159,plain,(
% 0.15/0.37 ~spl0_17|~spl0_22),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f158])).
% 0.15/0.37 fof(f162,plain,(
% 0.15/0.37 ![X0,X1]: (pd0_1(X0,X1)|big_q(X0)|~spl0_17)),
% 0.15/0.37 inference(backward_subsumption_resolution,[status(thm)],[f29,f112])).
% 0.15/0.37 fof(f166,plain,(
% 0.15/0.37 ![X0,X1]: (pd0_1(X0,X1)|~spl0_17)),
% 0.15/0.37 inference(backward_subsumption_resolution,[status(thm)],[f162,f112])).
% 0.15/0.37 fof(f167,plain,(
% 0.15/0.37 $false|~spl0_17|~spl0_1),
% 0.15/0.37 inference(backward_subsumption_resolution,[status(thm)],[f52,f166])).
% 0.15/0.37 fof(f168,plain,(
% 0.15/0.37 ~spl0_17|~spl0_1),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f167])).
% 0.15/0.37 fof(f169,plain,(
% 0.15/0.37 spl0_25 <=> big_p(X0)|big_p(X0)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f170,plain,(
% 0.15/0.37 ![X0]: (big_p(X0)|big_p(X0)|~spl0_25)),
% 0.15/0.37 inference(component_clause,[status(thm)],[f169])).
% 0.15/0.37 fof(f172,plain,(
% 0.15/0.37 spl0_26 <=> big_p(X1)|~big_p(X1)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f175,plain,(
% 0.15/0.37 ![X0,X1]: (big_p(X0)|big_p(X1)|big_p(X0)|~big_p(X1))),
% 0.15/0.37 inference(resolution,[status(thm)],[f41,f39])).
% 0.15/0.37 fof(f176,plain,(
% 0.15/0.37 spl0_25|spl0_26),
% 0.15/0.37 inference(split_clause,[status(thm)],[f175,f169,f172])).
% 0.15/0.37 fof(f179,plain,(
% 0.15/0.37 ![X0]: (big_p(X0)|~spl0_25)),
% 0.15/0.37 inference(duplicate_literals_removal,[status(esa)],[f170])).
% 0.15/0.37 fof(f182,plain,(
% 0.15/0.37 $false|~spl0_25|spl0_15),
% 0.15/0.37 inference(backward_subsumption_resolution,[status(thm)],[f105,f179])).
% 0.15/0.37 fof(f183,plain,(
% 0.15/0.37 ~spl0_25|spl0_15),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f182])).
% 0.15/0.37 fof(f184,plain,(
% 0.15/0.37 $false|~spl0_11|~spl0_16),
% 0.15/0.37 inference(backward_subsumption_resolution,[status(thm)],[f108,f90])).
% 0.15/0.37 fof(f185,plain,(
% 0.15/0.37 ~spl0_11|~spl0_16),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f184])).
% 0.15/0.37 fof(f194,plain,(
% 0.15/0.37 spl0_27 <=> big_q(sk0_3)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f197,plain,(
% 0.15/0.37 ![X0]: (big_q(sk0_3)|~big_q(X0)|~spl0_5)),
% 0.15/0.37 inference(resolution,[status(thm)],[f67,f27])).
% 0.15/0.37 fof(f198,plain,(
% 0.15/0.37 spl0_27|spl0_17|~spl0_5),
% 0.15/0.37 inference(split_clause,[status(thm)],[f197,f194,f111,f66])).
% 0.15/0.37 fof(f199,plain,(
% 0.15/0.37 ![X0]: (~big_q(sk0_3)|big_q(X0)|~spl0_5)),
% 0.15/0.37 inference(resolution,[status(thm)],[f67,f26])).
% 0.15/0.37 fof(f200,plain,(
% 0.15/0.37 ~spl0_27|spl0_18|~spl0_5),
% 0.15/0.37 inference(split_clause,[status(thm)],[f199,f194,f114,f66])).
% 0.15/0.37 fof(f203,plain,(
% 0.15/0.37 spl0_28 <=> big_p(sk0_5)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f206,plain,(
% 0.15/0.37 ![X0]: (~big_p(sk0_5)|big_p(X0)|~spl0_8)),
% 0.15/0.37 inference(resolution,[status(thm)],[f78,f38])).
% 0.15/0.37 fof(f207,plain,(
% 0.15/0.37 ~spl0_28|spl0_12|~spl0_8),
% 0.15/0.37 inference(split_clause,[status(thm)],[f206,f203,f92,f77])).
% 0.15/0.37 fof(f208,plain,(
% 0.15/0.37 ![X0]: (big_p(sk0_5)|~big_p(X0)|~spl0_8)),
% 0.15/0.37 inference(resolution,[status(thm)],[f78,f39])).
% 0.15/0.37 fof(f209,plain,(
% 0.15/0.37 spl0_28|spl0_11|~spl0_8),
% 0.15/0.37 inference(split_clause,[status(thm)],[f208,f203,f89,f77])).
% 0.15/0.37 fof(f210,plain,(
% 0.15/0.37 ![X0,X1]: (pd0_1(X0,X1)|~big_q(X0)|~spl0_18)),
% 0.15/0.37 inference(backward_subsumption_resolution,[status(thm)],[f28,f115])).
% 0.15/0.37 fof(f211,plain,(
% 0.15/0.37 $false|~spl0_18|spl0_21),
% 0.15/0.37 inference(backward_subsumption_resolution,[status(thm)],[f127,f115])).
% 0.15/0.37 fof(f212,plain,(
% 0.15/0.37 ~spl0_18|spl0_21),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f211])).
% 0.15/0.37 fof(f221,plain,(
% 0.15/0.37 spl0_29 <=> big_p(sk0_7)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f224,plain,(
% 0.15/0.37 ![X0]: (~big_p(sk0_7)|big_p(X0)|~spl0_10)),
% 0.15/0.37 inference(resolution,[status(thm)],[f86,f38])).
% 0.15/0.37 fof(f225,plain,(
% 0.15/0.37 ~spl0_29|spl0_12|~spl0_10),
% 0.15/0.37 inference(split_clause,[status(thm)],[f224,f221,f92,f85])).
% 0.15/0.37 fof(f226,plain,(
% 0.15/0.37 ![X0]: (big_p(sk0_7)|~big_p(X0)|~spl0_10)),
% 0.15/0.37 inference(resolution,[status(thm)],[f86,f39])).
% 0.15/0.37 fof(f227,plain,(
% 0.15/0.37 spl0_29|spl0_11|~spl0_10),
% 0.15/0.37 inference(split_clause,[status(thm)],[f226,f221,f89,f85])).
% 0.15/0.37 fof(f228,plain,(
% 0.15/0.37 $false|~spl0_12|spl0_15),
% 0.15/0.37 inference(backward_subsumption_resolution,[status(thm)],[f105,f93])).
% 0.15/0.37 fof(f229,plain,(
% 0.15/0.37 ~spl0_12|spl0_15),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f228])).
% 0.15/0.37 fof(f230,plain,(
% 0.15/0.37 ![X0,X1]: (pd0_3(X0,X1)|big_p(X0)|~spl0_11)),
% 0.15/0.37 inference(backward_subsumption_resolution,[status(thm)],[f41,f90])).
% 0.15/0.37 fof(f233,plain,(
% 0.15/0.37 ![X0,X1]: (pd0_3(X0,X1)|~big_p(X0)|~spl0_12)),
% 0.15/0.37 inference(backward_subsumption_resolution,[status(thm)],[f40,f93])).
% 0.15/0.37 fof(f234,plain,(
% 0.15/0.37 ![X0,X1]: (pd0_3(X0,X1)|~spl0_12)),
% 0.15/0.37 inference(backward_subsumption_resolution,[status(thm)],[f233,f93])).
% 0.15/0.37 fof(f235,plain,(
% 0.15/0.37 $false|~spl0_12|~spl0_9),
% 0.15/0.37 inference(backward_subsumption_resolution,[status(thm)],[f82,f234])).
% 0.15/0.37 fof(f236,plain,(
% 0.15/0.37 ~spl0_12|~spl0_9),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f235])).
% 0.15/0.37 fof(f240,plain,(
% 0.15/0.37 ![X0,X1]: (pd0_1(X0,X1)|~spl0_18)),
% 0.15/0.37 inference(backward_subsumption_resolution,[status(thm)],[f210,f115])).
% 0.15/0.37 fof(f246,plain,(
% 0.15/0.37 $false|~spl0_18|~spl0_1),
% 0.15/0.37 inference(backward_subsumption_resolution,[status(thm)],[f52,f240])).
% 0.15/0.37 fof(f247,plain,(
% 0.15/0.37 ~spl0_18|~spl0_1),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f246])).
% 0.15/0.37 fof(f251,plain,(
% 0.15/0.37 ![X0,X1]: (pd0_3(X0,X1)|~spl0_11)),
% 0.15/0.37 inference(backward_subsumption_resolution,[status(thm)],[f230,f90])).
% 0.15/0.37 fof(f252,plain,(
% 0.15/0.37 $false|~spl0_17|~spl0_4),
% 0.15/0.37 inference(backward_subsumption_resolution,[status(thm)],[f63,f166])).
% 0.15/0.37 fof(f253,plain,(
% 0.15/0.37 ~spl0_17|~spl0_4),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f252])).
% 0.15/0.37 fof(f259,plain,(
% 0.15/0.37 $false|~spl0_18|~spl0_4),
% 0.15/0.37 inference(forward_subsumption_resolution,[status(thm)],[f63,f240])).
% 0.15/0.37 fof(f260,plain,(
% 0.15/0.37 ~spl0_18|~spl0_4),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f259])).
% 0.15/0.37 fof(f266,plain,(
% 0.15/0.37 spl0_30 <=> big_q(sk0_1)),
% 0.15/0.37 introduced(split_symbol_definition)).
% 0.15/0.37 fof(f269,plain,(
% 0.15/0.37 ![X0]: (big_q(sk0_1)|~big_q(X0)|~spl0_3)),
% 0.15/0.37 inference(resolution,[status(thm)],[f59,f27])).
% 0.15/0.37 fof(f270,plain,(
% 0.15/0.37 spl0_30|spl0_17|~spl0_3),
% 0.15/0.37 inference(split_clause,[status(thm)],[f269,f266,f111,f58])).
% 0.15/0.37 fof(f271,plain,(
% 0.15/0.37 ![X0]: (~big_q(sk0_1)|big_q(X0)|~spl0_3)),
% 0.15/0.37 inference(resolution,[status(thm)],[f59,f26])).
% 0.15/0.37 fof(f272,plain,(
% 0.15/0.37 ~spl0_30|spl0_18|~spl0_3),
% 0.15/0.37 inference(split_clause,[status(thm)],[f271,f266,f114,f58])).
% 0.15/0.37 fof(f277,plain,(
% 0.15/0.37 $false|~spl0_11|~spl0_9),
% 0.15/0.37 inference(forward_subsumption_resolution,[status(thm)],[f82,f251])).
% 0.15/0.37 fof(f278,plain,(
% 0.15/0.37 ~spl0_11|~spl0_9),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f277])).
% 0.15/0.37 fof(f280,plain,(
% 0.15/0.37 $false|~spl0_12|~spl0_6),
% 0.15/0.37 inference(backward_subsumption_resolution,[status(thm)],[f71,f234])).
% 0.15/0.37 fof(f281,plain,(
% 0.15/0.37 ~spl0_12|~spl0_6),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f280])).
% 0.15/0.37 fof(f283,plain,(
% 0.15/0.37 $false|~spl0_11|~spl0_6),
% 0.15/0.37 inference(backward_subsumption_resolution,[status(thm)],[f71,f251])).
% 0.15/0.37 fof(f284,plain,(
% 0.15/0.37 ~spl0_11|~spl0_6),
% 0.15/0.37 inference(contradiction_clause,[status(thm)],[f283])).
% 0.15/0.37 fof(f285,plain,(
% 0.15/0.37 $false),
% 0.15/0.37 inference(sat_refutation,[status(thm)],[f57,f61,f65,f69,f76,f80,f84,f88,f95,f106,f110,f117,f128,f132,f134,f136,f150,f157,f159,f168,f176,f183,f185,f198,f200,f207,f209,f212,f225,f227,f229,f236,f247,f253,f260,f270,f272,f278,f281,f284])).
% 0.15/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.37 % Elapsed time: 0.022210 seconds
% 0.15/0.37 % CPU time: 0.076078 seconds
% 0.15/0.37 % Total memory used: 2.784 MB
% 0.15/0.37 % Net memory used: 2.711 MB
%------------------------------------------------------------------------------