%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN723+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:20:25 PM UTC 2026
% Result : Theorem 0.14s 5.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN723+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.36 % Computer : n011.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Mon Sep 21 11:13:17 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 % Drodi V4.1.1
% 0.14/5.43 % Refutation found
% 0.14/5.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.43 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.43 fof(f1,conjecture,(
% 0.14/5.43 ( (? [X] :(! [Y] :( p(X)<=> p(Y) )))<=> ( ( (? [X] : q(X))<=> (! [Y] : r(Y) ))<=> ( ( (? [X] :(! [Y] :( q(X)<=> q(Y) )))<=> ( (? [X] : r(X))<=> (! [Y] : s(Y) )) )<=> ( (? [X] :(! [Y] :( r(X)<=> r(Y) )))<=> ( ( (? [X] : s(X))<=> (! [Y] : p(Y) ))<=> ( (? [X] :(! [Y] :( s(X)<=> s(Y) )))<=> ( (? [X] : p(X))<=> (! [Y] : q(Y) )) ) ) ) ) ) ) ),
% 0.14/5.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.43 fof(f2,negated_conjecture,(
% 0.14/5.43 ~(( (? [X] :(! [Y] :( p(X)<=> p(Y) )))<=> ( ( (? [X] : q(X))<=> (! [Y] : r(Y) ))<=> ( ( (? [X] :(! [Y] :( q(X)<=> q(Y) )))<=> ( (? [X] : r(X))<=> (! [Y] : s(Y) )) )<=> ( (? [X] :(! [Y] :( r(X)<=> r(Y) )))<=> ( ( (? [X] : s(X))<=> (! [Y] : p(Y) ))<=> ( (? [X] :(! [Y] :( s(X)<=> s(Y) )))<=> ( (? [X] : p(X))<=> (! [Y] : q(Y) )) ) ) ) ) ) ) )),
% 0.14/5.43 inference(negated_conjecture,[status(cth)],[f1])).
% 0.14/5.43 fof(f3,plain,(
% 0.14/5.43 ((?[X]: ![Y]: (p(X)<=>p(Y)))<~>(((?[X]: q(X))<=>(![Y]: r(Y)))<=>(((?[X]: ![Y]: (q(X)<=>q(Y)))<=>((?[X]: r(X))<=>(![Y]: s(Y))))<=>((?[X]: ![Y]: (r(X)<=>r(Y)))<=>(((?[X]: s(X))<=>(![Y]: p(Y)))<=>((?[X]: ![Y]: (s(X)<=>s(Y)))<=>((?[X]: p(X))<=>(![Y]: q(Y)))))))))),
% 0.14/5.43 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.14/5.43 fof(f4,definition,(
% 0.14/5.43 ![X,Y]: (sP0_prd(Y,X)<=>(p(X)<=>p(Y)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.14/5.43 fof(f5,definition,(
% 0.14/5.43 sP1_prd<=>((?[X]: q(X))<=>(![Y]: r(Y)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.14/5.43 fof(f6,plain,(
% 0.14/5.43 (?[X]: ![Y]: sP0_prd(Y,X))<~>(sP1_prd<=>(((?[X]: ![Y]: (q(X)<=>q(Y)))<=>((?[X]: r(X))<=>(![Y]: s(Y))))<=>((?[X]: ![Y]: (r(X)<=>r(Y)))<=>(((?[X]: s(X))<=>(![Y]: p(Y)))<=>((?[X]: ![Y]: (s(X)<=>s(Y)))<=>((?[X]: p(X))<=>(![Y]: q(Y))))))))),
% 0.14/5.43 inference(formula_renaming,[status(thm)],[f3,f5,f4])).
% 0.14/5.43 fof(f7,definition,(
% 0.14/5.43 sP2_prd<=>(((?[X]: ![Y]: (q(X)<=>q(Y)))<=>((?[X]: r(X))<=>(![Y]: s(Y))))<=>((?[X]: ![Y]: (r(X)<=>r(Y)))<=>(((?[X]: s(X))<=>(![Y]: p(Y)))<=>((?[X]: ![Y]: (s(X)<=>s(Y)))<=>((?[X]: p(X))<=>(![Y]: q(Y)))))))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sP2_prd])],[])).
% 0.14/5.43 fof(f8,plain,(
% 0.14/5.43 (?[X]: ![Y]: sP0_prd(Y,X))<~>(sP1_prd<=>sP2_prd)),
% 0.14/5.43 inference(formula_renaming,[status(thm)],[f6,f7])).
% 0.14/5.43 fof(f9,plain,(
% 0.14/5.43 ((?[X]: ![Y]: sP0_prd(Y,X))|((~sP1_prd|sP2_prd)&(sP1_prd|~sP2_prd)))&((![X]: ?[Y]: ~sP0_prd(Y,X))|((~sP1_prd|~sP2_prd)&(sP1_prd|sP2_prd)))),
% 0.14/5.43 inference(NNF_transformation,[status(thm)],[f8])).
% 0.14/5.43 fof(f10,plain,(
% 0.14/5.43 (![Y]: sP0_prd(Y,sK0_skl)|((~sP1_prd|sP2_prd)&(sP1_prd|~sP2_prd)))&((![X]: ~sP0_prd(sK1_skl(X),X))|((~sP1_prd|~sP2_prd)&(sP1_prd|sP2_prd)))),
% 0.14/5.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X,sK0_skl),skolemize(Y,sK1_skl(X))],[f9])).
% 0.14/5.43 fof(f11,plain,(
% 0.14/5.43 ![X0]: (sP0_prd(X0,sK0_skl)|~sP1_prd|sP2_prd)),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/5.43 fof(f12,plain,(
% 0.14/5.43 ![X0]: (sP0_prd(X0,sK0_skl)|sP1_prd|~sP2_prd)),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/5.43 fof(f13,plain,(
% 0.14/5.43 ![X0]: (~sP0_prd(sK1_skl(X0),X0)|~sP1_prd|~sP2_prd)),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/5.43 fof(f14,plain,(
% 0.14/5.43 ![X0]: (~sP0_prd(sK1_skl(X0),X0)|sP1_prd|sP2_prd)),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/5.43 fof(f15,plain,(
% 0.14/5.43 ![X,Y]: ((~sP0_prd(Y,X)|((~p(X)|p(Y))&(p(X)|~p(Y))))&(sP0_prd(Y,X)|((~p(X)|~p(Y))&(p(X)|p(Y)))))),
% 0.14/5.43 inference(NNF_transformation,[status(thm)],[f4])).
% 0.14/5.43 fof(f16,plain,(
% 0.14/5.43 (![X,Y]: (~sP0_prd(Y,X)|((~p(X)|p(Y))&(p(X)|~p(Y)))))&(![X,Y]: (sP0_prd(Y,X)|((~p(X)|~p(Y))&(p(X)|p(Y)))))),
% 0.14/5.43 inference(miniscoping,[status(thm)],[f15])).
% 0.14/5.43 fof(f17,plain,(
% 0.14/5.43 ![X0,X1]: (~sP0_prd(X0,X1)|~p(X1)|p(X0))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/5.43 fof(f18,plain,(
% 0.14/5.43 ![X0,X1]: (~sP0_prd(X0,X1)|p(X1)|~p(X0))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/5.43 fof(f19,plain,(
% 0.14/5.43 ![X0,X1]: (sP0_prd(X0,X1)|~p(X1)|~p(X0))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/5.43 fof(f20,plain,(
% 0.14/5.43 ![X0,X1]: (sP0_prd(X0,X1)|p(X1)|p(X0))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/5.43 fof(f21,plain,(
% 0.14/5.43 (~sP1_prd|(((![X]: ~q(X))|(![Y]: r(Y)))&((?[X]: q(X))|(?[Y]: ~r(Y)))))&(sP1_prd|(((![X]: ~q(X))|(?[Y]: ~r(Y)))&((?[X]: q(X))|(![Y]: r(Y)))))),
% 0.14/5.43 inference(NNF_transformation,[status(thm)],[f5])).
% 0.14/5.43 fof(f22,plain,(
% 0.14/5.43 (~sP1_prd|(((![X]: ~q(X))|(![Y]: r(Y)))&(q(sK2_skl)|~r(sK3_skl))))&(sP1_prd|(((![X]: ~q(X))|~r(sK4_skl))&(q(sK5_skl)|(![Y]: r(Y)))))),
% 0.14/5.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(X,sK2_skl),skolemize(Y,sK3_skl),skolemize(Y,sK4_skl),skolemize(X,sK5_skl)],[f21])).
% 0.14/5.43 fof(f23,plain,(
% 0.14/5.43 ![X0,X1]: (~sP1_prd|~q(X0)|r(X1))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/5.43 fof(f24,plain,(
% 0.14/5.43 ~sP1_prd|q(sK2_skl)|~r(sK3_skl)),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/5.43 fof(f25,plain,(
% 0.14/5.43 ![X0]: (sP1_prd|~q(X0)|~r(sK4_skl))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/5.43 fof(f26,plain,(
% 0.14/5.43 ![X0]: (sP1_prd|q(sK5_skl)|r(X0))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/5.43 fof(f27,definition,(
% 0.14/5.43 sP3_prd<=>((?[X]: ![Y]: (q(X)<=>q(Y)))<=>((?[X]: r(X))<=>(![Y]: s(Y))))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sP3_prd])],[])).
% 0.14/5.43 fof(f28,plain,(
% 0.14/5.43 sP2_prd<=>(sP3_prd<=>((?[X]: ![Y]: (r(X)<=>r(Y)))<=>(((?[X]: s(X))<=>(![Y]: p(Y)))<=>((?[X]: ![Y]: (s(X)<=>s(Y)))<=>((?[X]: p(X))<=>(![Y]: q(Y)))))))),
% 0.14/5.43 inference(formula_renaming,[status(thm)],[f7,f27])).
% 0.14/5.43 fof(f29,definition,(
% 0.14/5.43 sP4_prd<=>((?[X]: ![Y]: (r(X)<=>r(Y)))<=>(((?[X]: s(X))<=>(![Y]: p(Y)))<=>((?[X]: ![Y]: (s(X)<=>s(Y)))<=>((?[X]: p(X))<=>(![Y]: q(Y))))))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sP4_prd])],[])).
% 0.14/5.43 fof(f30,plain,(
% 0.14/5.43 sP2_prd<=>(sP3_prd<=>sP4_prd)),
% 0.14/5.43 inference(formula_renaming,[status(thm)],[f28,f29])).
% 0.14/5.43 fof(f31,plain,(
% 0.14/5.43 (~sP2_prd|((~sP3_prd|sP4_prd)&(sP3_prd|~sP4_prd)))&(sP2_prd|((~sP3_prd|~sP4_prd)&(sP3_prd|sP4_prd)))),
% 0.14/5.43 inference(NNF_transformation,[status(thm)],[f30])).
% 0.14/5.43 fof(f32,plain,(
% 0.14/5.43 ~sP2_prd|~sP3_prd|sP4_prd),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/5.43 fof(f33,plain,(
% 0.14/5.43 ~sP2_prd|sP3_prd|~sP4_prd),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/5.43 fof(f34,plain,(
% 0.14/5.43 sP2_prd|~sP3_prd|~sP4_prd),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/5.43 fof(f35,plain,(
% 0.14/5.43 sP2_prd|sP3_prd|sP4_prd),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f31])).
% 0.14/5.43 fof(f36,definition,(
% 0.14/5.43 ![X,Y]: (sP5_prd(Y,X)<=>(q(X)<=>q(Y)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sP5_prd])],[])).
% 0.14/5.43 fof(f37,definition,(
% 0.14/5.43 sP6_prd<=>((?[X]: r(X))<=>(![Y]: s(Y)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sP6_prd])],[])).
% 0.14/5.43 fof(f38,plain,(
% 0.14/5.43 sP3_prd<=>((?[X]: ![Y]: sP5_prd(Y,X))<=>sP6_prd)),
% 0.14/5.43 inference(formula_renaming,[status(thm)],[f27,f37,f36])).
% 0.14/5.43 fof(f39,plain,(
% 0.14/5.43 (~sP3_prd|(((![X]: ?[Y]: ~sP5_prd(Y,X))|sP6_prd)&((?[X]: ![Y]: sP5_prd(Y,X))|~sP6_prd)))&(sP3_prd|(((![X]: ?[Y]: ~sP5_prd(Y,X))|~sP6_prd)&((?[X]: ![Y]: sP5_prd(Y,X))|sP6_prd)))),
% 0.14/5.43 inference(NNF_transformation,[status(thm)],[f38])).
% 0.14/5.43 fof(f40,plain,(
% 0.14/5.43 (~sP3_prd|(((![X]: ~sP5_prd(sK6_skl(X),X))|sP6_prd)&(![Y]: sP5_prd(Y,sK7_skl)|~sP6_prd)))&(sP3_prd|(((![X]: ~sP5_prd(sK8_skl(X),X))|~sP6_prd)&(![Y]: sP5_prd(Y,sK9_skl)|sP6_prd)))),
% 0.14/5.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl,sK8_skl,sK9_skl]),skolemize(Y,sK6_skl(X)),skolemize(X,sK7_skl),skolemize(Y,sK8_skl(X)),skolemize(X,sK9_skl)],[f39])).
% 0.14/5.43 fof(f41,plain,(
% 0.14/5.43 ![X0]: (~sP3_prd|~sP5_prd(sK6_skl(X0),X0)|sP6_prd)),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f40])).
% 0.14/5.43 fof(f42,plain,(
% 0.14/5.43 ![X0]: (~sP3_prd|sP5_prd(X0,sK7_skl)|~sP6_prd)),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f40])).
% 0.14/5.43 fof(f43,plain,(
% 0.14/5.43 ![X0]: (sP3_prd|~sP5_prd(sK8_skl(X0),X0)|~sP6_prd)),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f40])).
% 0.14/5.43 fof(f44,plain,(
% 0.14/5.43 ![X0]: (sP3_prd|sP5_prd(X0,sK9_skl)|sP6_prd)),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f40])).
% 0.14/5.43 fof(f45,definition,(
% 0.14/5.43 ![X,Y]: (sP7_prd(Y,X)<=>(r(X)<=>r(Y)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sP7_prd])],[])).
% 0.14/5.43 fof(f46,definition,(
% 0.14/5.43 sP8_prd<=>(((?[X]: s(X))<=>(![Y]: p(Y)))<=>((?[X]: ![Y]: (s(X)<=>s(Y)))<=>((?[X]: p(X))<=>(![Y]: q(Y)))))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sP8_prd])],[])).
% 0.14/5.43 fof(f47,plain,(
% 0.14/5.43 sP4_prd<=>((?[X]: ![Y]: sP7_prd(Y,X))<=>sP8_prd)),
% 0.14/5.43 inference(formula_renaming,[status(thm)],[f29,f46,f45])).
% 0.14/5.43 fof(f48,plain,(
% 0.14/5.43 (~sP4_prd|(((![X]: ?[Y]: ~sP7_prd(Y,X))|sP8_prd)&((?[X]: ![Y]: sP7_prd(Y,X))|~sP8_prd)))&(sP4_prd|(((![X]: ?[Y]: ~sP7_prd(Y,X))|~sP8_prd)&((?[X]: ![Y]: sP7_prd(Y,X))|sP8_prd)))),
% 0.14/5.43 inference(NNF_transformation,[status(thm)],[f47])).
% 0.14/5.43 fof(f49,plain,(
% 0.14/5.43 (~sP4_prd|(((![X]: ~sP7_prd(sK10_skl(X),X))|sP8_prd)&(![Y]: sP7_prd(Y,sK11_skl)|~sP8_prd)))&(sP4_prd|(((![X]: ~sP7_prd(sK12_skl(X),X))|~sP8_prd)&(![Y]: sP7_prd(Y,sK13_skl)|sP8_prd)))),
% 0.14/5.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl,sK11_skl,sK12_skl,sK13_skl]),skolemize(Y,sK10_skl(X)),skolemize(X,sK11_skl),skolemize(Y,sK12_skl(X)),skolemize(X,sK13_skl)],[f48])).
% 0.14/5.43 fof(f50,plain,(
% 0.14/5.43 ![X0]: (~sP4_prd|~sP7_prd(sK10_skl(X0),X0)|sP8_prd)),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f49])).
% 0.14/5.43 fof(f51,plain,(
% 0.14/5.43 ![X0]: (~sP4_prd|sP7_prd(X0,sK11_skl)|~sP8_prd)),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f49])).
% 0.14/5.43 fof(f52,plain,(
% 0.14/5.43 ![X0]: (sP4_prd|~sP7_prd(sK12_skl(X0),X0)|~sP8_prd)),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f49])).
% 0.14/5.43 fof(f53,plain,(
% 0.14/5.43 ![X0]: (sP4_prd|sP7_prd(X0,sK13_skl)|sP8_prd)),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f49])).
% 0.14/5.43 fof(f54,plain,(
% 0.14/5.43 ![X,Y]: ((~sP5_prd(Y,X)|((~q(X)|q(Y))&(q(X)|~q(Y))))&(sP5_prd(Y,X)|((~q(X)|~q(Y))&(q(X)|q(Y)))))),
% 0.14/5.43 inference(NNF_transformation,[status(thm)],[f36])).
% 0.14/5.43 fof(f55,plain,(
% 0.14/5.43 (![X,Y]: (~sP5_prd(Y,X)|((~q(X)|q(Y))&(q(X)|~q(Y)))))&(![X,Y]: (sP5_prd(Y,X)|((~q(X)|~q(Y))&(q(X)|q(Y)))))),
% 0.14/5.43 inference(miniscoping,[status(thm)],[f54])).
% 0.14/5.43 fof(f56,plain,(
% 0.14/5.43 ![X0,X1]: (~sP5_prd(X0,X1)|~q(X1)|q(X0))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f55])).
% 0.14/5.43 fof(f57,plain,(
% 0.14/5.43 ![X0,X1]: (~sP5_prd(X0,X1)|q(X1)|~q(X0))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f55])).
% 0.14/5.43 fof(f58,plain,(
% 0.14/5.43 ![X0,X1]: (sP5_prd(X0,X1)|~q(X1)|~q(X0))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f55])).
% 0.14/5.43 fof(f59,plain,(
% 0.14/5.43 ![X0,X1]: (sP5_prd(X0,X1)|q(X1)|q(X0))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f55])).
% 0.14/5.43 fof(f60,plain,(
% 0.14/5.43 (~sP6_prd|(((![X]: ~r(X))|(![Y]: s(Y)))&((?[X]: r(X))|(?[Y]: ~s(Y)))))&(sP6_prd|(((![X]: ~r(X))|(?[Y]: ~s(Y)))&((?[X]: r(X))|(![Y]: s(Y)))))),
% 0.14/5.43 inference(NNF_transformation,[status(thm)],[f37])).
% 0.14/5.43 fof(f61,plain,(
% 0.14/5.43 (~sP6_prd|(((![X]: ~r(X))|(![Y]: s(Y)))&(r(sK14_skl)|~s(sK15_skl))))&(sP6_prd|(((![X]: ~r(X))|~s(sK16_skl))&(r(sK17_skl)|(![Y]: s(Y)))))),
% 0.14/5.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl,sK15_skl,sK16_skl,sK17_skl]),skolemize(X,sK14_skl),skolemize(Y,sK15_skl),skolemize(Y,sK16_skl),skolemize(X,sK17_skl)],[f60])).
% 0.14/5.43 fof(f62,plain,(
% 0.14/5.43 ![X0,X1]: (~sP6_prd|~r(X0)|s(X1))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f61])).
% 0.14/5.43 fof(f63,plain,(
% 0.14/5.43 ~sP6_prd|r(sK14_skl)|~s(sK15_skl)),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f61])).
% 0.14/5.43 fof(f64,plain,(
% 0.14/5.43 ![X0]: (sP6_prd|~r(X0)|~s(sK16_skl))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f61])).
% 0.14/5.43 fof(f65,plain,(
% 0.14/5.43 ![X0]: (sP6_prd|r(sK17_skl)|s(X0))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f61])).
% 0.14/5.43 fof(f66,plain,(
% 0.14/5.43 ![X,Y]: ((~sP7_prd(Y,X)|((~r(X)|r(Y))&(r(X)|~r(Y))))&(sP7_prd(Y,X)|((~r(X)|~r(Y))&(r(X)|r(Y)))))),
% 0.14/5.43 inference(NNF_transformation,[status(thm)],[f45])).
% 0.14/5.43 fof(f67,plain,(
% 0.14/5.43 (![X,Y]: (~sP7_prd(Y,X)|((~r(X)|r(Y))&(r(X)|~r(Y)))))&(![X,Y]: (sP7_prd(Y,X)|((~r(X)|~r(Y))&(r(X)|r(Y)))))),
% 0.14/5.43 inference(miniscoping,[status(thm)],[f66])).
% 0.14/5.43 fof(f68,plain,(
% 0.14/5.43 ![X0,X1]: (~sP7_prd(X0,X1)|~r(X1)|r(X0))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f67])).
% 0.14/5.43 fof(f69,plain,(
% 0.14/5.43 ![X0,X1]: (~sP7_prd(X0,X1)|r(X1)|~r(X0))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f67])).
% 0.14/5.43 fof(f70,plain,(
% 0.14/5.43 ![X0,X1]: (sP7_prd(X0,X1)|~r(X1)|~r(X0))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f67])).
% 0.14/5.43 fof(f71,plain,(
% 0.14/5.43 ![X0,X1]: (sP7_prd(X0,X1)|r(X1)|r(X0))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f67])).
% 0.14/5.43 fof(f72,definition,(
% 0.14/5.43 sP9_prd<=>((?[X]: s(X))<=>(![Y]: p(Y)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sP9_prd])],[])).
% 0.14/5.43 fof(f73,plain,(
% 0.14/5.43 sP8_prd<=>(sP9_prd<=>((?[X]: ![Y]: (s(X)<=>s(Y)))<=>((?[X]: p(X))<=>(![Y]: q(Y)))))),
% 0.14/5.43 inference(formula_renaming,[status(thm)],[f46,f72])).
% 0.14/5.43 fof(f74,definition,(
% 0.14/5.43 sP10_prd<=>((?[X]: ![Y]: (s(X)<=>s(Y)))<=>((?[X]: p(X))<=>(![Y]: q(Y))))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sP10_prd])],[])).
% 0.14/5.43 fof(f75,plain,(
% 0.14/5.43 sP8_prd<=>(sP9_prd<=>sP10_prd)),
% 0.14/5.43 inference(formula_renaming,[status(thm)],[f73,f74])).
% 0.14/5.43 fof(f76,plain,(
% 0.14/5.43 (~sP8_prd|((~sP9_prd|sP10_prd)&(sP9_prd|~sP10_prd)))&(sP8_prd|((~sP9_prd|~sP10_prd)&(sP9_prd|sP10_prd)))),
% 0.14/5.43 inference(NNF_transformation,[status(thm)],[f75])).
% 0.14/5.43 fof(f77,plain,(
% 0.14/5.43 ~sP8_prd|~sP9_prd|sP10_prd),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f76])).
% 0.14/5.43 fof(f78,plain,(
% 0.14/5.43 ~sP8_prd|sP9_prd|~sP10_prd),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f76])).
% 0.14/5.43 fof(f79,plain,(
% 0.14/5.43 sP8_prd|~sP9_prd|~sP10_prd),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f76])).
% 0.14/5.43 fof(f80,plain,(
% 0.14/5.43 sP8_prd|sP9_prd|sP10_prd),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f76])).
% 0.14/5.43 fof(f81,plain,(
% 0.14/5.43 (~sP9_prd|(((![X]: ~s(X))|(![Y]: p(Y)))&((?[X]: s(X))|(?[Y]: ~p(Y)))))&(sP9_prd|(((![X]: ~s(X))|(?[Y]: ~p(Y)))&((?[X]: s(X))|(![Y]: p(Y)))))),
% 0.14/5.43 inference(NNF_transformation,[status(thm)],[f72])).
% 0.14/5.43 fof(f82,plain,(
% 0.14/5.43 (~sP9_prd|(((![X]: ~s(X))|(![Y]: p(Y)))&(s(sK18_skl)|~p(sK19_skl))))&(sP9_prd|(((![X]: ~s(X))|~p(sK20_skl))&(s(sK21_skl)|(![Y]: p(Y)))))),
% 0.14/5.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK18_skl,sK19_skl,sK20_skl,sK21_skl]),skolemize(X,sK18_skl),skolemize(Y,sK19_skl),skolemize(Y,sK20_skl),skolemize(X,sK21_skl)],[f81])).
% 0.14/5.43 fof(f83,plain,(
% 0.14/5.43 ![X0,X1]: (~sP9_prd|~s(X0)|p(X1))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f82])).
% 0.14/5.43 fof(f84,plain,(
% 0.14/5.43 ~sP9_prd|s(sK18_skl)|~p(sK19_skl)),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f82])).
% 0.14/5.43 fof(f85,plain,(
% 0.14/5.43 ![X0]: (sP9_prd|~s(X0)|~p(sK20_skl))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f82])).
% 0.14/5.43 fof(f86,plain,(
% 0.14/5.43 ![X0]: (sP9_prd|s(sK21_skl)|p(X0))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f82])).
% 0.14/5.43 fof(f87,definition,(
% 0.14/5.43 ![X,Y]: (sP11_prd(Y,X)<=>(s(X)<=>s(Y)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sP11_prd])],[])).
% 0.14/5.43 fof(f88,definition,(
% 0.14/5.43 sP12_prd<=>((?[X]: p(X))<=>(![Y]: q(Y)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sP12_prd])],[])).
% 0.14/5.43 fof(f89,plain,(
% 0.14/5.43 sP10_prd<=>((?[X]: ![Y]: sP11_prd(Y,X))<=>sP12_prd)),
% 0.14/5.43 inference(formula_renaming,[status(thm)],[f74,f88,f87])).
% 0.14/5.43 fof(f90,plain,(
% 0.14/5.43 (~sP10_prd|(((![X]: ?[Y]: ~sP11_prd(Y,X))|sP12_prd)&((?[X]: ![Y]: sP11_prd(Y,X))|~sP12_prd)))&(sP10_prd|(((![X]: ?[Y]: ~sP11_prd(Y,X))|~sP12_prd)&((?[X]: ![Y]: sP11_prd(Y,X))|sP12_prd)))),
% 0.14/5.43 inference(NNF_transformation,[status(thm)],[f89])).
% 0.14/5.43 fof(f91,plain,(
% 0.14/5.43 (~sP10_prd|(((![X]: ~sP11_prd(sK22_skl(X),X))|sP12_prd)&(![Y]: sP11_prd(Y,sK23_skl)|~sP12_prd)))&(sP10_prd|(((![X]: ~sP11_prd(sK24_skl(X),X))|~sP12_prd)&(![Y]: sP11_prd(Y,sK25_skl)|sP12_prd)))),
% 0.14/5.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK22_skl,sK23_skl,sK24_skl,sK25_skl]),skolemize(Y,sK22_skl(X)),skolemize(X,sK23_skl),skolemize(Y,sK24_skl(X)),skolemize(X,sK25_skl)],[f90])).
% 0.14/5.43 fof(f92,plain,(
% 0.14/5.43 ![X0]: (~sP10_prd|~sP11_prd(sK22_skl(X0),X0)|sP12_prd)),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f91])).
% 0.14/5.43 fof(f93,plain,(
% 0.14/5.43 ![X0]: (~sP10_prd|sP11_prd(X0,sK23_skl)|~sP12_prd)),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f91])).
% 0.14/5.43 fof(f94,plain,(
% 0.14/5.43 ![X0]: (sP10_prd|~sP11_prd(sK24_skl(X0),X0)|~sP12_prd)),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f91])).
% 0.14/5.43 fof(f95,plain,(
% 0.14/5.43 ![X0]: (sP10_prd|sP11_prd(X0,sK25_skl)|sP12_prd)),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f91])).
% 0.14/5.43 fof(f96,plain,(
% 0.14/5.43 ![X,Y]: ((~sP11_prd(Y,X)|((~s(X)|s(Y))&(s(X)|~s(Y))))&(sP11_prd(Y,X)|((~s(X)|~s(Y))&(s(X)|s(Y)))))),
% 0.14/5.43 inference(NNF_transformation,[status(thm)],[f87])).
% 0.14/5.43 fof(f97,plain,(
% 0.14/5.43 (![X,Y]: (~sP11_prd(Y,X)|((~s(X)|s(Y))&(s(X)|~s(Y)))))&(![X,Y]: (sP11_prd(Y,X)|((~s(X)|~s(Y))&(s(X)|s(Y)))))),
% 0.14/5.43 inference(miniscoping,[status(thm)],[f96])).
% 0.14/5.43 fof(f98,plain,(
% 0.14/5.43 ![X0,X1]: (~sP11_prd(X0,X1)|~s(X1)|s(X0))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f97])).
% 0.14/5.43 fof(f99,plain,(
% 0.14/5.43 ![X0,X1]: (~sP11_prd(X0,X1)|s(X1)|~s(X0))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f97])).
% 0.14/5.43 fof(f100,plain,(
% 0.14/5.43 ![X0,X1]: (sP11_prd(X0,X1)|~s(X1)|~s(X0))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f97])).
% 0.14/5.43 fof(f101,plain,(
% 0.14/5.43 ![X0,X1]: (sP11_prd(X0,X1)|s(X1)|s(X0))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f97])).
% 0.14/5.43 fof(f102,plain,(
% 0.14/5.43 (~sP12_prd|(((![X]: ~p(X))|(![Y]: q(Y)))&((?[X]: p(X))|(?[Y]: ~q(Y)))))&(sP12_prd|(((![X]: ~p(X))|(?[Y]: ~q(Y)))&((?[X]: p(X))|(![Y]: q(Y)))))),
% 0.14/5.43 inference(NNF_transformation,[status(thm)],[f88])).
% 0.14/5.43 fof(f103,plain,(
% 0.14/5.43 (~sP12_prd|(((![X]: ~p(X))|(![Y]: q(Y)))&(p(sK26_skl)|~q(sK27_skl))))&(sP12_prd|(((![X]: ~p(X))|~q(sK28_skl))&(p(sK29_skl)|(![Y]: q(Y)))))),
% 0.14/5.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK26_skl,sK27_skl,sK28_skl,sK29_skl]),skolemize(X,sK26_skl),skolemize(Y,sK27_skl),skolemize(Y,sK28_skl),skolemize(X,sK29_skl)],[f102])).
% 0.14/5.43 fof(f104,plain,(
% 0.14/5.43 ![X0,X1]: (~sP12_prd|~p(X0)|q(X1))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f103])).
% 0.14/5.43 fof(f105,plain,(
% 0.14/5.43 ~sP12_prd|p(sK26_skl)|~q(sK27_skl)),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f103])).
% 0.14/5.43 fof(f106,plain,(
% 0.14/5.43 ![X0]: (sP12_prd|~p(X0)|~q(sK28_skl))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f103])).
% 0.14/5.43 fof(f107,plain,(
% 0.14/5.43 ![X0]: (sP12_prd|p(sK29_skl)|q(X0))),
% 0.14/5.43 inference(cnf_transformation,[status(thm)],[f103])).
% 0.14/5.43 fof(f108,definition,(
% 0.14/5.43 ![X0]: (sQ0_spl <=> (sP0_prd(X0,sK0_skl)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f109,plain,(
% 0.14/5.43 ![X0]: (sP0_prd(X0,sK0_skl)|~sQ0_spl)),
% 0.14/5.43 inference(component_clause,[status(thm)],[f108])).
% 0.14/5.43 fof(f111,definition,(
% 0.14/5.43 sQ1_spl <=> (sP1_prd)),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f114,definition,(
% 0.14/5.43 sQ2_spl <=> (sP2_prd)),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f117,plain,(
% 0.14/5.43 sQ0_spl|~sQ1_spl|sQ2_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f11,f108,f111,f114])).
% 0.14/5.43 fof(f118,plain,(
% 0.14/5.43 sQ0_spl|sQ1_spl|~sQ2_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f12,f108,f111,f114])).
% 0.14/5.43 fof(f119,definition,(
% 0.14/5.43 ![X0]: (sQ3_spl <=> (~sP0_prd(sK1_skl(X0),X0)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f120,plain,(
% 0.14/5.43 ![X0]: (~sP0_prd(sK1_skl(X0),X0)|~sQ3_spl)),
% 0.14/5.43 inference(component_clause,[status(thm)],[f119])).
% 0.14/5.43 fof(f122,plain,(
% 0.14/5.43 sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f13,f119,f111,f114])).
% 0.14/5.43 fof(f123,plain,(
% 0.14/5.43 sQ3_spl|sQ1_spl|sQ2_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f14,f119,f111,f114])).
% 0.14/5.43 fof(f124,definition,(
% 0.14/5.43 ![X0]: (sQ4_spl <=> (~q(X0)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f125,plain,(
% 0.14/5.43 ![X0]: (~q(X0)|~sQ4_spl)),
% 0.14/5.43 inference(component_clause,[status(thm)],[f124])).
% 0.14/5.43 fof(f127,definition,(
% 0.14/5.43 ![X1]: (sQ5_spl <=> (r(X1)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f128,plain,(
% 0.14/5.43 ![X0]: (r(X0)|~sQ5_spl)),
% 0.14/5.43 inference(component_clause,[status(thm)],[f127])).
% 0.14/5.43 fof(f130,plain,(
% 0.14/5.43 ~sQ1_spl|sQ4_spl|sQ5_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f23,f111,f124,f127])).
% 0.14/5.43 fof(f131,definition,(
% 0.14/5.43 sQ6_spl <=> (q(sK2_skl))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f132,plain,(
% 0.14/5.43 q(sK2_skl)|~sQ6_spl),
% 0.14/5.43 inference(component_clause,[status(thm)],[f131])).
% 0.14/5.43 fof(f134,definition,(
% 0.14/5.43 sQ7_spl <=> (r(sK3_skl))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f136,plain,(
% 0.14/5.43 ~r(sK3_skl)|sQ7_spl),
% 0.14/5.43 inference(component_clause,[status(thm)],[f134])).
% 0.14/5.43 fof(f137,plain,(
% 0.14/5.43 ~sQ1_spl|sQ6_spl|~sQ7_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f24,f111,f131,f134])).
% 0.14/5.43 fof(f138,definition,(
% 0.14/5.43 sQ8_spl <=> (r(sK4_skl))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f140,plain,(
% 0.14/5.43 ~r(sK4_skl)|sQ8_spl),
% 0.14/5.43 inference(component_clause,[status(thm)],[f138])).
% 0.14/5.43 fof(f141,plain,(
% 0.14/5.43 sQ1_spl|sQ4_spl|~sQ8_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f25,f111,f124,f138])).
% 0.14/5.43 fof(f142,definition,(
% 0.14/5.43 sQ9_spl <=> (q(sK5_skl))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f143,plain,(
% 0.14/5.43 q(sK5_skl)|~sQ9_spl),
% 0.14/5.43 inference(component_clause,[status(thm)],[f142])).
% 0.14/5.43 fof(f144,plain,(
% 0.14/5.43 ~q(sK5_skl)|sQ9_spl),
% 0.14/5.43 inference(component_clause,[status(thm)],[f142])).
% 0.14/5.43 fof(f145,plain,(
% 0.14/5.43 sQ1_spl|sQ9_spl|sQ5_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f26,f111,f142,f127])).
% 0.14/5.43 fof(f146,definition,(
% 0.14/5.43 sQ10_spl <=> (sP3_prd)),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f149,definition,(
% 0.14/5.43 sQ11_spl <=> (sP4_prd)),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f152,plain,(
% 0.14/5.43 ~sQ2_spl|~sQ10_spl|sQ11_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f32,f114,f146,f149])).
% 0.14/5.43 fof(f153,plain,(
% 0.14/5.43 ~sQ2_spl|sQ10_spl|~sQ11_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f33,f114,f146,f149])).
% 0.14/5.43 fof(f154,plain,(
% 0.14/5.43 sQ2_spl|~sQ10_spl|~sQ11_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f34,f114,f146,f149])).
% 0.14/5.43 fof(f155,plain,(
% 0.14/5.43 sQ2_spl|sQ10_spl|sQ11_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f35,f114,f146,f149])).
% 0.14/5.43 fof(f156,definition,(
% 0.14/5.43 ![X0]: (sQ12_spl <=> (~sP5_prd(sK6_skl(X0),X0)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f157,plain,(
% 0.14/5.43 ![X0]: (~sP5_prd(sK6_skl(X0),X0)|~sQ12_spl)),
% 0.14/5.43 inference(component_clause,[status(thm)],[f156])).
% 0.14/5.43 fof(f159,definition,(
% 0.14/5.43 sQ13_spl <=> (sP6_prd)),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f162,plain,(
% 0.14/5.43 ~sQ10_spl|sQ12_spl|sQ13_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f41,f146,f156,f159])).
% 0.14/5.43 fof(f163,definition,(
% 0.14/5.43 ![X0]: (sQ14_spl <=> (sP5_prd(X0,sK7_skl)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f164,plain,(
% 0.14/5.43 ![X0]: (sP5_prd(X0,sK7_skl)|~sQ14_spl)),
% 0.14/5.43 inference(component_clause,[status(thm)],[f163])).
% 0.14/5.43 fof(f166,plain,(
% 0.14/5.43 ~sQ10_spl|sQ14_spl|~sQ13_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f42,f146,f163,f159])).
% 0.14/5.43 fof(f167,definition,(
% 0.14/5.43 ![X0]: (sQ15_spl <=> (~sP5_prd(sK8_skl(X0),X0)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f168,plain,(
% 0.14/5.43 ![X0]: (~sP5_prd(sK8_skl(X0),X0)|~sQ15_spl)),
% 0.14/5.43 inference(component_clause,[status(thm)],[f167])).
% 0.14/5.43 fof(f170,plain,(
% 0.14/5.43 sQ10_spl|sQ15_spl|~sQ13_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f43,f146,f167,f159])).
% 0.14/5.43 fof(f171,definition,(
% 0.14/5.43 ![X0]: (sQ16_spl <=> (sP5_prd(X0,sK9_skl)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f172,plain,(
% 0.14/5.43 ![X0]: (sP5_prd(X0,sK9_skl)|~sQ16_spl)),
% 0.14/5.43 inference(component_clause,[status(thm)],[f171])).
% 0.14/5.43 fof(f174,plain,(
% 0.14/5.43 sQ10_spl|sQ16_spl|sQ13_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f44,f146,f171,f159])).
% 0.14/5.43 fof(f175,definition,(
% 0.14/5.43 ![X0]: (sQ17_spl <=> (~sP7_prd(sK10_skl(X0),X0)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f176,plain,(
% 0.14/5.43 ![X0]: (~sP7_prd(sK10_skl(X0),X0)|~sQ17_spl)),
% 0.14/5.43 inference(component_clause,[status(thm)],[f175])).
% 0.14/5.43 fof(f178,definition,(
% 0.14/5.43 sQ18_spl <=> (sP8_prd)),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f181,plain,(
% 0.14/5.43 ~sQ11_spl|sQ17_spl|sQ18_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f50,f149,f175,f178])).
% 0.14/5.43 fof(f182,definition,(
% 0.14/5.43 ![X0]: (sQ19_spl <=> (sP7_prd(X0,sK11_skl)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f183,plain,(
% 0.14/5.43 ![X0]: (sP7_prd(X0,sK11_skl)|~sQ19_spl)),
% 0.14/5.43 inference(component_clause,[status(thm)],[f182])).
% 0.14/5.43 fof(f185,plain,(
% 0.14/5.43 ~sQ11_spl|sQ19_spl|~sQ18_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f51,f149,f182,f178])).
% 0.14/5.43 fof(f186,definition,(
% 0.14/5.43 ![X0]: (sQ20_spl <=> (~sP7_prd(sK12_skl(X0),X0)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f187,plain,(
% 0.14/5.43 ![X0]: (~sP7_prd(sK12_skl(X0),X0)|~sQ20_spl)),
% 0.14/5.43 inference(component_clause,[status(thm)],[f186])).
% 0.14/5.43 fof(f189,plain,(
% 0.14/5.43 sQ11_spl|sQ20_spl|~sQ18_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f52,f149,f186,f178])).
% 0.14/5.43 fof(f190,definition,(
% 0.14/5.43 ![X0]: (sQ21_spl <=> (sP7_prd(X0,sK13_skl)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f191,plain,(
% 0.14/5.43 ![X0]: (sP7_prd(X0,sK13_skl)|~sQ21_spl)),
% 0.14/5.43 inference(component_clause,[status(thm)],[f190])).
% 0.14/5.43 fof(f193,plain,(
% 0.14/5.43 sQ11_spl|sQ21_spl|sQ18_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f53,f149,f190,f178])).
% 0.14/5.43 fof(f194,definition,(
% 0.14/5.43 ![X0]: (sQ22_spl <=> (~r(X0)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f195,plain,(
% 0.14/5.43 ![X0]: (~r(X0)|~sQ22_spl)),
% 0.14/5.43 inference(component_clause,[status(thm)],[f194])).
% 0.14/5.43 fof(f197,definition,(
% 0.14/5.43 ![X1]: (sQ23_spl <=> (s(X1)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f198,plain,(
% 0.14/5.43 ![X0]: (s(X0)|~sQ23_spl)),
% 0.14/5.43 inference(component_clause,[status(thm)],[f197])).
% 0.14/5.43 fof(f200,plain,(
% 0.14/5.43 ~sQ13_spl|sQ22_spl|sQ23_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f62,f159,f194,f197])).
% 0.14/5.43 fof(f201,definition,(
% 0.14/5.43 sQ24_spl <=> (r(sK14_skl))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f202,plain,(
% 0.14/5.43 r(sK14_skl)|~sQ24_spl),
% 0.14/5.43 inference(component_clause,[status(thm)],[f201])).
% 0.14/5.43 fof(f203,plain,(
% 0.14/5.43 ~r(sK14_skl)|sQ24_spl),
% 0.14/5.43 inference(component_clause,[status(thm)],[f201])).
% 0.14/5.43 fof(f204,definition,(
% 0.14/5.43 sQ25_spl <=> (s(sK15_skl))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f206,plain,(
% 0.14/5.43 ~s(sK15_skl)|sQ25_spl),
% 0.14/5.43 inference(component_clause,[status(thm)],[f204])).
% 0.14/5.43 fof(f207,plain,(
% 0.14/5.43 ~sQ13_spl|sQ24_spl|~sQ25_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f63,f159,f201,f204])).
% 0.14/5.43 fof(f208,definition,(
% 0.14/5.43 sQ26_spl <=> (s(sK16_skl))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f209,plain,(
% 0.14/5.43 s(sK16_skl)|~sQ26_spl),
% 0.14/5.43 inference(component_clause,[status(thm)],[f208])).
% 0.14/5.43 fof(f210,plain,(
% 0.14/5.43 ~s(sK16_skl)|sQ26_spl),
% 0.14/5.43 inference(component_clause,[status(thm)],[f208])).
% 0.14/5.43 fof(f211,plain,(
% 0.14/5.43 sQ13_spl|sQ22_spl|~sQ26_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f64,f159,f194,f208])).
% 0.14/5.43 fof(f212,definition,(
% 0.14/5.43 sQ27_spl <=> (r(sK17_skl))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f213,plain,(
% 0.14/5.43 r(sK17_skl)|~sQ27_spl),
% 0.14/5.43 inference(component_clause,[status(thm)],[f212])).
% 0.14/5.43 fof(f215,plain,(
% 0.14/5.43 sQ13_spl|sQ27_spl|sQ23_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f65,f159,f212,f197])).
% 0.14/5.43 fof(f216,definition,(
% 0.14/5.43 sQ28_spl <=> (sP9_prd)),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f219,definition,(
% 0.14/5.43 sQ29_spl <=> (sP10_prd)),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f222,plain,(
% 0.14/5.43 ~sQ18_spl|~sQ28_spl|sQ29_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f77,f178,f216,f219])).
% 0.14/5.43 fof(f223,plain,(
% 0.14/5.43 ~sQ18_spl|sQ28_spl|~sQ29_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f78,f178,f216,f219])).
% 0.14/5.43 fof(f224,plain,(
% 0.14/5.43 sQ18_spl|~sQ28_spl|~sQ29_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f79,f178,f216,f219])).
% 0.14/5.43 fof(f225,plain,(
% 0.14/5.43 sQ18_spl|sQ28_spl|sQ29_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f80,f178,f216,f219])).
% 0.14/5.43 fof(f226,definition,(
% 0.14/5.43 ![X0]: (sQ30_spl <=> (~s(X0)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f227,plain,(
% 0.14/5.43 ![X0]: (~s(X0)|~sQ30_spl)),
% 0.14/5.43 inference(component_clause,[status(thm)],[f226])).
% 0.14/5.43 fof(f229,definition,(
% 0.14/5.43 ![X1]: (sQ31_spl <=> (p(X1)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f230,plain,(
% 0.14/5.43 ![X0]: (p(X0)|~sQ31_spl)),
% 0.14/5.43 inference(component_clause,[status(thm)],[f229])).
% 0.14/5.43 fof(f232,plain,(
% 0.14/5.43 ~sQ28_spl|sQ30_spl|sQ31_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f83,f216,f226,f229])).
% 0.14/5.43 fof(f233,definition,(
% 0.14/5.43 sQ32_spl <=> (s(sK18_skl))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f234,plain,(
% 0.14/5.43 s(sK18_skl)|~sQ32_spl),
% 0.14/5.43 inference(component_clause,[status(thm)],[f233])).
% 0.14/5.43 fof(f236,definition,(
% 0.14/5.43 sQ33_spl <=> (p(sK19_skl))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f238,plain,(
% 0.14/5.43 ~p(sK19_skl)|sQ33_spl),
% 0.14/5.43 inference(component_clause,[status(thm)],[f236])).
% 0.14/5.43 fof(f239,plain,(
% 0.14/5.43 ~sQ28_spl|sQ32_spl|~sQ33_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f84,f216,f233,f236])).
% 0.14/5.43 fof(f240,definition,(
% 0.14/5.43 sQ34_spl <=> (p(sK20_skl))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f242,plain,(
% 0.14/5.43 ~p(sK20_skl)|sQ34_spl),
% 0.14/5.43 inference(component_clause,[status(thm)],[f240])).
% 0.14/5.43 fof(f243,plain,(
% 0.14/5.43 sQ28_spl|sQ30_spl|~sQ34_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f85,f216,f226,f240])).
% 0.14/5.43 fof(f244,definition,(
% 0.14/5.43 sQ35_spl <=> (s(sK21_skl))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f245,plain,(
% 0.14/5.43 s(sK21_skl)|~sQ35_spl),
% 0.14/5.43 inference(component_clause,[status(thm)],[f244])).
% 0.14/5.43 fof(f246,plain,(
% 0.14/5.43 ~s(sK21_skl)|sQ35_spl),
% 0.14/5.43 inference(component_clause,[status(thm)],[f244])).
% 0.14/5.43 fof(f247,plain,(
% 0.14/5.43 sQ28_spl|sQ35_spl|sQ31_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f86,f216,f244,f229])).
% 0.14/5.43 fof(f248,definition,(
% 0.14/5.43 ![X0]: (sQ36_spl <=> (~sP11_prd(sK22_skl(X0),X0)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f249,plain,(
% 0.14/5.43 ![X0]: (~sP11_prd(sK22_skl(X0),X0)|~sQ36_spl)),
% 0.14/5.43 inference(component_clause,[status(thm)],[f248])).
% 0.14/5.43 fof(f251,definition,(
% 0.14/5.43 sQ37_spl <=> (sP12_prd)),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f254,plain,(
% 0.14/5.43 ~sQ29_spl|sQ36_spl|sQ37_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f92,f219,f248,f251])).
% 0.14/5.43 fof(f255,definition,(
% 0.14/5.43 ![X0]: (sQ38_spl <=> (sP11_prd(X0,sK23_skl)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f256,plain,(
% 0.14/5.43 ![X0]: (sP11_prd(X0,sK23_skl)|~sQ38_spl)),
% 0.14/5.43 inference(component_clause,[status(thm)],[f255])).
% 0.14/5.43 fof(f258,plain,(
% 0.14/5.43 ~sQ29_spl|sQ38_spl|~sQ37_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f93,f219,f255,f251])).
% 0.14/5.43 fof(f259,definition,(
% 0.14/5.43 ![X0]: (sQ39_spl <=> (~sP11_prd(sK24_skl(X0),X0)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f260,plain,(
% 0.14/5.43 ![X0]: (~sP11_prd(sK24_skl(X0),X0)|~sQ39_spl)),
% 0.14/5.43 inference(component_clause,[status(thm)],[f259])).
% 0.14/5.43 fof(f262,plain,(
% 0.14/5.43 sQ29_spl|sQ39_spl|~sQ37_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f94,f219,f259,f251])).
% 0.14/5.43 fof(f263,definition,(
% 0.14/5.43 ![X0]: (sQ40_spl <=> (sP11_prd(X0,sK25_skl)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f264,plain,(
% 0.14/5.43 ![X0]: (sP11_prd(X0,sK25_skl)|~sQ40_spl)),
% 0.14/5.43 inference(component_clause,[status(thm)],[f263])).
% 0.14/5.43 fof(f266,plain,(
% 0.14/5.43 sQ29_spl|sQ40_spl|sQ37_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f95,f219,f263,f251])).
% 0.14/5.43 fof(f267,definition,(
% 0.14/5.43 ![X0]: (sQ41_spl <=> (~p(X0)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f268,plain,(
% 0.14/5.43 ![X0]: (~p(X0)|~sQ41_spl)),
% 0.14/5.43 inference(component_clause,[status(thm)],[f267])).
% 0.14/5.43 fof(f270,definition,(
% 0.14/5.43 ![X1]: (sQ42_spl <=> (q(X1)))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f271,plain,(
% 0.14/5.43 ![X0]: (q(X0)|~sQ42_spl)),
% 0.14/5.43 inference(component_clause,[status(thm)],[f270])).
% 0.14/5.43 fof(f273,plain,(
% 0.14/5.43 ~sQ37_spl|sQ41_spl|sQ42_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f104,f251,f267,f270])).
% 0.14/5.43 fof(f274,definition,(
% 0.14/5.43 sQ43_spl <=> (p(sK26_skl))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f275,plain,(
% 0.14/5.43 p(sK26_skl)|~sQ43_spl),
% 0.14/5.43 inference(component_clause,[status(thm)],[f274])).
% 0.14/5.43 fof(f277,definition,(
% 0.14/5.43 sQ44_spl <=> (q(sK27_skl))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f279,plain,(
% 0.14/5.43 ~q(sK27_skl)|sQ44_spl),
% 0.14/5.43 inference(component_clause,[status(thm)],[f277])).
% 0.14/5.43 fof(f280,plain,(
% 0.14/5.43 ~sQ37_spl|sQ43_spl|~sQ44_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f105,f251,f274,f277])).
% 0.14/5.43 fof(f281,definition,(
% 0.14/5.43 sQ45_spl <=> (q(sK28_skl))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f283,plain,(
% 0.14/5.43 ~q(sK28_skl)|sQ45_spl),
% 0.14/5.43 inference(component_clause,[status(thm)],[f281])).
% 0.14/5.43 fof(f284,plain,(
% 0.14/5.43 sQ37_spl|sQ41_spl|~sQ45_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f106,f251,f267,f281])).
% 0.14/5.43 fof(f285,definition,(
% 0.14/5.43 sQ46_spl <=> (p(sK29_skl))),
% 0.14/5.43 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.14/5.43 fof(f286,plain,(
% 0.14/5.43 p(sK29_skl)|~sQ46_spl),
% 0.14/5.43 inference(component_clause,[status(thm)],[f285])).
% 0.14/5.43 fof(f287,plain,(
% 0.14/5.43 ~p(sK29_skl)|sQ46_spl),
% 0.14/5.43 inference(component_clause,[status(thm)],[f285])).
% 0.14/5.43 fof(f288,plain,(
% 0.14/5.43 sQ37_spl|sQ46_spl|sQ42_spl),
% 0.14/5.43 inference(split_clause,[status(thm)],[f107,f251,f285,f270])).
% 0.14/5.43 fof(f289,plain,(
% 0.14/5.43 ![X0,X1]: (sP5_prd(X0,X1)|~q(X1)|~sQ42_spl)),
% 0.14/5.43 inference(backward_subsumption_resolution,[status(thm)],[f58,f271])).
% 0.14/5.43 fof(f290,plain,(
% 0.14/5.43 ![X0,X1]: (sP0_prd(X0,X1)|p(X1)|~sQ41_spl)),
% 0.14/5.43 inference(backward_subsumption_resolution,[status(thm)],[f20,f268])).
% 0.14/5.43 fof(f291,plain,(
% 0.14/5.43 $false|~sQ41_spl|~sQ31_spl),
% 0.14/5.43 inference(forward_subsumption_resolution,[status(thm)],[f230,f268])).
% 0.14/5.43 fof(f292,plain,(
% 0.14/5.43 ~sQ41_spl|~sQ31_spl),
% 0.14/5.43 inference(contradiction_clause,[status(thm)],[f291])).
% 0.14/5.43 fof(f293,plain,(
% 0.14/5.43 ![X0,X1]: (sP11_prd(X0,X1)|s(X1)|~sQ30_spl)),
% 0.14/5.43 inference(backward_subsumption_resolution,[status(thm)],[f101,f227])).
% 0.14/5.43 fof(f294,plain,(
% 0.14/5.43 $false|~sQ30_spl|~sQ23_spl),
% 0.14/5.43 inference(forward_subsumption_resolution,[status(thm)],[f198,f227])).
% 0.14/5.43 fof(f295,plain,(
% 0.14/5.43 ~sQ30_spl|~sQ23_spl),
% 0.14/5.43 inference(contradiction_clause,[status(thm)],[f294])).
% 0.14/5.43 fof(f296,plain,(
% 0.14/5.43 ![X0,X1]: (sP7_prd(X0,X1)|r(X1)|~sQ22_spl)),
% 0.14/5.43 inference(backward_subsumption_resolution,[status(thm)],[f71,f195])).
% 0.14/5.43 fof(f297,plain,(
% 0.14/5.43 $false|~sQ22_spl|~sQ5_spl),
% 0.14/5.43 inference(forward_subsumption_resolution,[status(thm)],[f128,f195])).
% 0.14/5.43 fof(f298,plain,(
% 0.14/5.43 ~sQ22_spl|~sQ5_spl),
% 0.14/5.43 inference(contradiction_clause,[status(thm)],[f297])).
% 0.14/5.43 fof(f299,plain,(
% 0.14/5.43 $false|~sQ42_spl|~sQ4_spl),
% 0.14/5.43 inference(forward_subsumption_resolution,[status(thm)],[f125,f271])).
% 0.14/5.43 fof(f300,plain,(
% 0.14/5.43 ~sQ42_spl|~sQ4_spl),
% 0.14/5.43 inference(contradiction_clause,[status(thm)],[f299])).
% 0.14/5.43 fof(f301,plain,(
% 0.14/5.43 $false|~sQ4_spl|~sQ6_spl),
% 0.14/5.43 inference(backward_subsumption_resolution,[status(thm)],[f132,f125])).
% 0.14/5.43 fof(f302,plain,(
% 0.14/5.43 $false|~sQ4_spl|~sQ9_spl),
% 0.14/5.43 inference(backward_subsumption_resolution,[status(thm)],[f143,f125])).
% 0.14/5.43 fof(f303,plain,(
% 0.14/5.43 ![X0,X1]: (sP5_prd(X0,X1)|q(X0)|~sQ4_spl)),
% 0.14/5.43 inference(forward_subsumption_resolution,[status(thm)],[f59,f125])).
% 0.14/5.43 fof(f306,plain,(
% 0.14/5.43 $false|~sQ41_spl|~sQ43_spl),
% 0.14/5.43 inference(backward_subsumption_resolution,[status(thm)],[f275,f268])).
% 0.14/5.43 fof(f307,plain,(
% 0.14/5.43 $false|~sQ41_spl|~sQ46_spl),
% 0.14/5.43 inference(backward_subsumption_resolution,[status(thm)],[f286,f268])).
% 0.14/5.43 fof(f308,plain,(
% 0.14/5.43 ![X0,X1]: (sP0_prd(X0,X1)|~sQ41_spl)),
% 0.14/5.43 inference(backward_subsumption_resolution,[status(thm)],[f290,f268])).
% 0.14/5.43 fof(f311,plain,(
% 0.14/5.43 $false|~sQ30_spl|~sQ32_spl),
% 0.14/5.43 inference(backward_subsumption_resolution,[status(thm)],[f234,f227])).
% 0.14/5.43 fof(f312,plain,(
% 0.14/5.43 $false|~sQ30_spl|~sQ35_spl),
% 0.14/5.43 inference(backward_subsumption_resolution,[status(thm)],[f245,f227])).
% 0.14/5.43 fof(f313,plain,(
% 0.14/5.43 ![X0,X1]: (sP11_prd(X0,X1)|~sQ30_spl)),
% 0.14/5.43 inference(backward_subsumption_resolution,[status(thm)],[f293,f227])).
% 0.14/5.43 fof(f316,plain,(
% 0.14/5.43 $false|~sQ22_spl|~sQ24_spl),
% 0.14/5.43 inference(backward_subsumption_resolution,[status(thm)],[f202,f195])).
% 0.14/5.43 fof(f317,plain,(
% 0.14/5.43 $false|~sQ22_spl|~sQ27_spl),
% 0.14/5.43 inference(backward_subsumption_resolution,[status(thm)],[f213,f195])).
% 0.14/5.43 fof(f318,plain,(
% 0.14/5.43 ![X0,X1]: (sP7_prd(X0,X1)|~sQ22_spl)),
% 0.14/5.43 inference(backward_subsumption_resolution,[status(thm)],[f296,f195])).
% 0.14/5.43 fof(f319,plain,(
% 0.14/5.43 ~sQ4_spl|~sQ6_spl),
% 0.14/5.43 inference(contradiction_clause,[status(thm)],[f301])).
% 0.14/5.43 fof(f320,plain,(
% 0.14/5.43 ![X0,X1]: (sP7_prd(X0,X1)|~r(X0)|~sQ5_spl)),
% 0.14/5.43 inference(forward_subsumption_resolution,[status(thm)],[f70,f128])).
% 0.14/5.43 fof(f321,plain,(
% 0.14/5.43 $false|~sQ5_spl|sQ7_spl),
% 0.14/5.43 inference(forward_subsumption_resolution,[status(thm)],[f136,f128])).
% 0.14/5.43 fof(f322,plain,(
% 0.14/5.43 ~sQ5_spl|sQ7_spl),
% 0.14/5.43 inference(contradiction_clause,[status(thm)],[f321])).
% 0.14/5.43 fof(f326,plain,(
% 0.14/5.43 ~sQ41_spl|~sQ43_spl),
% 0.14/5.43 inference(contradiction_clause,[status(thm)],[f306])).
% 0.14/5.43 fof(f329,plain,(
% 0.14/5.43 $false|~sQ42_spl|sQ45_spl),
% 0.14/5.43 inference(backward_subsumption_resolution,[status(thm)],[f283,f271])).
% 0.14/5.43 fof(f330,plain,(
% 0.14/5.43 $false|~sQ42_spl|sQ44_spl),
% 0.14/5.43 inference(backward_subsumption_resolution,[status(thm)],[f279,f271])).
% 0.14/5.43 fof(f331,plain,(
% 0.14/5.43 ![X0,X1]: (sP5_prd(X0,X1)|~sQ42_spl)),
% 0.14/5.43 inference(backward_subsumption_resolution,[status(thm)],[f289,f271])).
% 0.14/5.43 fof(f332,plain,(
% 0.14/5.43 $false|~sQ23_spl|sQ26_spl),
% 0.14/5.43 inference(backward_subsumption_resolution,[status(thm)],[f210,f198])).
% 0.14/5.43 fof(f333,plain,(
% 0.14/5.43 $false|~sQ23_spl|sQ25_spl),
% 0.14/5.43 inference(backward_subsumption_resolution,[status(thm)],[f206,f198])).
% 0.14/5.43 fof(f334,plain,(
% 0.14/5.43 ![X0,X1]: (sP11_prd(X0,X1)|~s(X1)|~sQ23_spl)),
% 0.14/5.43 inference(backward_subsumption_resolution,[status(thm)],[f100,f198])).
% 0.14/5.43 fof(f335,plain,(
% 0.14/5.43 $false|~sQ31_spl|sQ34_spl),
% 0.14/5.43 inference(backward_subsumption_resolution,[status(thm)],[f242,f230])).
% 0.14/5.43 fof(f337,plain,(
% 0.14/5.43 ![X0,X1]: (sP0_prd(X0,X1)|~p(X0)|~sQ31_spl)),
% 0.14/5.43 inference(forward_subsumption_resolution,[status(thm)],[f19,f230])).
% 0.14/5.44 fof(f339,plain,(
% 0.14/5.44 ~sQ42_spl|sQ45_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f329])).
% 0.14/5.44 fof(f341,plain,(
% 0.14/5.44 ~sQ30_spl|~sQ32_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f311])).
% 0.14/5.44 fof(f342,plain,(
% 0.14/5.44 ~sQ31_spl|sQ34_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f335])).
% 0.14/5.44 fof(f346,plain,(
% 0.14/5.44 ~sQ22_spl|~sQ24_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f316])).
% 0.14/5.44 fof(f347,plain,(
% 0.14/5.44 ~sQ23_spl|sQ26_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f332])).
% 0.14/5.44 fof(f348,plain,(
% 0.14/5.44 ~sQ22_spl|~sQ27_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f317])).
% 0.14/5.44 fof(f349,plain,(
% 0.14/5.44 $false|~sQ0_spl|~sQ3_spl),
% 0.14/5.44 inference(resolution,[status(thm)],[f109,f120])).
% 0.14/5.44 fof(f350,plain,(
% 0.14/5.44 ~sQ0_spl|~sQ3_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f349])).
% 0.14/5.44 fof(f351,plain,(
% 0.14/5.44 $false|~sQ36_spl|~sQ38_spl),
% 0.14/5.44 inference(resolution,[status(thm)],[f249,f256])).
% 0.14/5.44 fof(f352,plain,(
% 0.14/5.44 ~sQ36_spl|~sQ38_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f351])).
% 0.14/5.44 fof(f356,plain,(
% 0.14/5.44 $false|~sQ30_spl|~sQ39_spl),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f260,f313])).
% 0.14/5.44 fof(f361,plain,(
% 0.14/5.44 ~sQ30_spl|~sQ39_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f356])).
% 0.14/5.44 fof(f362,plain,(
% 0.14/5.44 $false|~sQ22_spl|~sQ17_spl),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f176,f318])).
% 0.14/5.44 fof(f363,plain,(
% 0.14/5.44 ~sQ22_spl|~sQ17_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f362])).
% 0.14/5.44 fof(f364,plain,(
% 0.14/5.44 ~sQ41_spl|~sQ46_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f307])).
% 0.14/5.44 fof(f366,plain,(
% 0.14/5.44 ![X0,X1]: (sP5_prd(X0,X1)|~sQ4_spl)),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f303,f125])).
% 0.14/5.44 fof(f377,plain,(
% 0.14/5.44 ![X0,X1]: (p(X0)|p(X1)|~p(X0)|p(X1))),
% 0.14/5.44 inference(resolution,[status(thm)],[f20,f17])).
% 0.14/5.44 fof(f378,definition,(
% 0.14/5.44 ![X0]: (sQ47_spl <=> (p(X0)|~p(X0)))),
% 0.14/5.44 introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition])).
% 0.14/5.44 fof(f381,definition,(
% 0.14/5.44 ![X1]: (sQ48_spl <=> (p(X1)|p(X1)))),
% 0.14/5.44 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.14/5.44 fof(f384,plain,(
% 0.14/5.44 sQ47_spl|sQ48_spl),
% 0.14/5.44 inference(split_clause,[status(thm)],[f377,f378,f381])).
% 0.14/5.44 fof(f385,plain,(
% 0.14/5.44 ![X0]: (~sP0_prd(sK29_skl,X0)|p(X0)|~sQ46_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f18,f286])).
% 0.14/5.44 fof(f387,plain,(
% 0.14/5.44 ![X0]: (~p(sK0_skl)|p(X0)|~sQ0_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f109,f17])).
% 0.14/5.44 fof(f388,definition,(
% 0.14/5.44 sQ49_spl <=> (p(sK0_skl))),
% 0.14/5.44 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.14/5.44 fof(f390,plain,(
% 0.14/5.44 ~p(sK0_skl)|sQ49_spl),
% 0.14/5.44 inference(component_clause,[status(thm)],[f388])).
% 0.14/5.44 fof(f391,plain,(
% 0.14/5.44 ~sQ49_spl|sQ31_spl|~sQ0_spl),
% 0.14/5.44 inference(split_clause,[status(thm)],[f387,f388,f229,f108])).
% 0.14/5.44 fof(f392,plain,(
% 0.14/5.44 p(sK0_skl)|~sQ46_spl|~sQ0_spl),
% 0.14/5.44 inference(resolution,[status(thm)],[f385,f109])).
% 0.14/5.44 fof(f394,plain,(
% 0.14/5.44 $false|sQ49_spl|~sQ46_spl|~sQ0_spl),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f392,f390])).
% 0.14/5.44 fof(f395,plain,(
% 0.14/5.44 sQ49_spl|~sQ46_spl|~sQ0_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f394])).
% 0.14/5.44 fof(f399,plain,(
% 0.14/5.44 $false|~sQ17_spl|~sQ19_spl),
% 0.14/5.44 inference(resolution,[status(thm)],[f176,f183])).
% 0.14/5.44 fof(f400,plain,(
% 0.14/5.44 ~sQ17_spl|~sQ19_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f399])).
% 0.14/5.44 fof(f405,plain,(
% 0.14/5.44 $false|~sQ4_spl|~sQ12_spl),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f157,f366])).
% 0.14/5.44 fof(f408,plain,(
% 0.14/5.44 ~sQ4_spl|~sQ12_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f405])).
% 0.14/5.44 fof(f410,plain,(
% 0.14/5.44 $false|~sQ22_spl|~sQ20_spl),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f187,f318])).
% 0.14/5.44 fof(f411,plain,(
% 0.14/5.44 ![X0,X1]: (sP0_prd(X0,X1)|~sQ31_spl)),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f337,f230])).
% 0.14/5.44 fof(f413,plain,(
% 0.14/5.44 $false|~sQ30_spl|~sQ36_spl),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f249,f313])).
% 0.14/5.44 fof(f414,plain,(
% 0.14/5.44 ~sQ30_spl|~sQ36_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f413])).
% 0.14/5.44 fof(f415,plain,(
% 0.14/5.44 $false|~sQ31_spl|sQ33_spl),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f238,f230])).
% 0.14/5.44 fof(f416,plain,(
% 0.14/5.44 ~sQ31_spl|sQ33_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f415])).
% 0.14/5.44 fof(f417,plain,(
% 0.14/5.44 ~sQ22_spl|~sQ20_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f410])).
% 0.14/5.44 fof(f419,plain,(
% 0.14/5.44 ![X0,X1]: (sP5_prd(X0,X1)|q(X1)|~sQ4_spl)),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f59,f125])).
% 0.14/5.44 fof(f420,plain,(
% 0.14/5.44 ~sQ4_spl|~sQ9_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f302])).
% 0.14/5.44 fof(f426,plain,(
% 0.14/5.44 ![X0]: (~sP11_prd(sK21_skl,X0)|s(X0)|~sQ35_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f245,f99])).
% 0.14/5.44 fof(f428,plain,(
% 0.14/5.44 ![X0]: (r(sK13_skl)|~r(X0)|~sQ21_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f191,f69])).
% 0.14/5.44 fof(f429,definition,(
% 0.14/5.44 sQ50_spl <=> (r(sK13_skl))),
% 0.14/5.44 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.14/5.44 fof(f432,plain,(
% 0.14/5.44 sQ50_spl|sQ22_spl|~sQ21_spl),
% 0.14/5.44 inference(split_clause,[status(thm)],[f428,f429,f194,f190])).
% 0.14/5.44 fof(f434,plain,(
% 0.14/5.44 ![X0]: (~r(sK13_skl)|r(X0)|~sQ21_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f68,f191])).
% 0.14/5.44 fof(f435,plain,(
% 0.14/5.44 ~sQ50_spl|sQ5_spl|~sQ21_spl),
% 0.14/5.44 inference(split_clause,[status(thm)],[f434,f429,f127,f190])).
% 0.14/5.44 fof(f437,plain,(
% 0.14/5.44 $false|~sQ5_spl|sQ8_spl),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f140,f128])).
% 0.14/5.44 fof(f439,plain,(
% 0.14/5.44 $false|~sQ5_spl|~sQ20_spl),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f187,f440])).
% 0.14/5.44 fof(f440,plain,(
% 0.14/5.44 ![X0,X1]: (sP7_prd(X0,X1)|~sQ5_spl)),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f320,f128])).
% 0.14/5.44 fof(f441,plain,(
% 0.14/5.44 ~sQ5_spl|sQ8_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f437])).
% 0.14/5.44 fof(f444,plain,(
% 0.14/5.44 ![X0,X1]: (sP5_prd(X0,X1)|~sQ4_spl)),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f419,f125])).
% 0.14/5.44 fof(f451,plain,(
% 0.14/5.44 ~sQ30_spl|~sQ35_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f312])).
% 0.14/5.44 fof(f452,plain,(
% 0.14/5.44 $false|~sQ41_spl|~sQ3_spl),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f120,f308])).
% 0.14/5.44 fof(f453,plain,(
% 0.14/5.44 ~sQ41_spl|~sQ3_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f452])).
% 0.14/5.44 fof(f459,plain,(
% 0.14/5.44 $false|~sQ5_spl|~sQ17_spl),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f176,f440])).
% 0.14/5.44 fof(f462,plain,(
% 0.14/5.44 ~sQ5_spl|~sQ17_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f459])).
% 0.14/5.44 fof(f464,plain,(
% 0.14/5.44 ~sQ5_spl|~sQ20_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f439])).
% 0.14/5.44 fof(f472,plain,(
% 0.14/5.44 s(sK23_skl)|~sQ35_spl|~sQ38_spl),
% 0.14/5.44 inference(resolution,[status(thm)],[f426,f256])).
% 0.14/5.44 fof(f474,definition,(
% 0.14/5.44 ![X0]: (sQ51_spl <=> (s(X0)|s(X0)))),
% 0.14/5.44 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.14/5.44 fof(f475,plain,(
% 0.14/5.44 ![X0]: (s(X0)|s(X0)|~sQ51_spl)),
% 0.14/5.44 inference(component_clause,[status(thm)],[f474])).
% 0.14/5.44 fof(f478,plain,(
% 0.14/5.44 ![X0]: (~sP11_prd(X0,sK23_skl)|s(X0)|~sQ35_spl|~sQ38_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f472,f98])).
% 0.14/5.44 fof(f482,plain,(
% 0.14/5.44 $false|~sQ35_spl|~sQ38_spl|sQ26_spl),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f210,f484])).
% 0.14/5.44 fof(f484,plain,(
% 0.14/5.44 ![X0]: (s(X0)|~sQ35_spl|~sQ38_spl)),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f478,f256])).
% 0.14/5.44 fof(f486,plain,(
% 0.14/5.44 ~sQ35_spl|~sQ38_spl|sQ26_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f482])).
% 0.14/5.44 fof(f489,plain,(
% 0.14/5.44 $false|~sQ31_spl|~sQ3_spl),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f120,f411])).
% 0.14/5.44 fof(f490,plain,(
% 0.14/5.44 ~sQ31_spl|~sQ3_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f489])).
% 0.14/5.44 fof(f497,plain,(
% 0.14/5.44 $false|~sQ42_spl|~sQ12_spl),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f157,f331])).
% 0.14/5.44 fof(f498,plain,(
% 0.14/5.44 ~sQ42_spl|~sQ12_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f497])).
% 0.14/5.44 fof(f499,plain,(
% 0.14/5.44 ![X0]: (~sP7_prd(sK17_skl,X0)|r(X0)|~sQ27_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f69,f213])).
% 0.14/5.44 fof(f515,plain,(
% 0.14/5.44 ![X0,X1]: (s(X0)|s(X1)|s(X0)|~s(X1))),
% 0.14/5.44 inference(resolution,[status(thm)],[f101,f99])).
% 0.14/5.44 fof(f518,definition,(
% 0.14/5.44 ![X1]: (sQ52_spl <=> (s(X1)|~s(X1)))),
% 0.14/5.44 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.14/5.44 fof(f521,plain,(
% 0.14/5.44 sQ51_spl|sQ52_spl),
% 0.14/5.44 inference(split_clause,[status(thm)],[f515,f474,f518])).
% 0.14/5.44 fof(f523,plain,(
% 0.14/5.44 $false|~sQ51_spl|sQ26_spl),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f210,f525])).
% 0.14/5.44 fof(f525,plain,(
% 0.14/5.44 ![X0]: (s(X0)|~sQ51_spl)),
% 0.14/5.44 inference(duplicate_literals_removal,[status(thm)],[f475])).
% 0.14/5.44 fof(f528,plain,(
% 0.14/5.44 ~sQ51_spl|sQ26_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f523])).
% 0.14/5.44 fof(f529,plain,(
% 0.14/5.44 ~sQ42_spl|sQ44_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f330])).
% 0.14/5.44 fof(f531,plain,(
% 0.14/5.44 ~sQ23_spl|sQ25_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f333])).
% 0.14/5.44 fof(f537,plain,(
% 0.14/5.44 $false|~sQ42_spl|~sQ15_spl),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f168,f331])).
% 0.14/5.44 fof(f541,plain,(
% 0.14/5.44 ~sQ42_spl|~sQ15_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f537])).
% 0.14/5.44 fof(f547,plain,(
% 0.14/5.44 ![X0,X1]: (sP11_prd(X0,X1)|~sQ23_spl)),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f334,f198])).
% 0.14/5.44 fof(f551,plain,(
% 0.14/5.44 $false|~sQ23_spl|~sQ39_spl),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f260,f547])).
% 0.14/5.44 fof(f552,plain,(
% 0.14/5.44 ~sQ23_spl|~sQ39_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f551])).
% 0.14/5.44 fof(f556,plain,(
% 0.14/5.44 $false|~sQ39_spl|~sQ40_spl),
% 0.14/5.44 inference(resolution,[status(thm)],[f260,f264])).
% 0.14/5.44 fof(f557,plain,(
% 0.14/5.44 ~sQ39_spl|~sQ40_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f556])).
% 0.14/5.44 fof(f560,plain,(
% 0.14/5.44 $false|~sQ23_spl|~sQ36_spl),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f249,f547])).
% 0.14/5.44 fof(f561,plain,(
% 0.14/5.44 ~sQ23_spl|~sQ36_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f560])).
% 0.14/5.44 fof(f573,plain,(
% 0.14/5.44 $false|~sQ31_spl|sQ46_spl),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f287,f230])).
% 0.14/5.44 fof(f577,plain,(
% 0.14/5.44 ~sQ31_spl|sQ46_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f573])).
% 0.14/5.44 fof(f585,plain,(
% 0.14/5.44 ![X0]: (~sP7_prd(sK14_skl,X0)|r(X0)|~sQ24_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f202,f69])).
% 0.14/5.44 fof(f590,plain,(
% 0.14/5.44 ![X0]: (~sP0_prd(sK26_skl,X0)|p(X0)|~sQ43_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f18,f275])).
% 0.14/5.44 fof(f609,plain,(
% 0.14/5.44 p(sK0_skl)|~sQ43_spl|~sQ0_spl),
% 0.14/5.44 inference(resolution,[status(thm)],[f590,f109])).
% 0.14/5.44 fof(f612,plain,(
% 0.14/5.44 sQ49_spl|~sQ43_spl|~sQ0_spl),
% 0.14/5.44 inference(split_clause,[status(thm)],[f609,f388,f274,f108])).
% 0.14/5.44 fof(f620,plain,(
% 0.14/5.44 r(sK11_skl)|~sQ19_spl|~sQ24_spl),
% 0.14/5.44 inference(resolution,[status(thm)],[f183,f585])).
% 0.14/5.44 fof(f624,plain,(
% 0.14/5.44 ![X0]: (~sP7_prd(X0,sK11_skl)|r(X0)|~sQ19_spl|~sQ24_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f620,f68])).
% 0.14/5.44 fof(f626,plain,(
% 0.14/5.44 $false|~sQ19_spl|~sQ24_spl|sQ8_spl),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f140,f628])).
% 0.14/5.44 fof(f628,plain,(
% 0.14/5.44 ![X0]: (r(X0)|~sQ19_spl|~sQ24_spl)),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f624,f183])).
% 0.14/5.44 fof(f630,plain,(
% 0.14/5.44 ~sQ19_spl|~sQ24_spl|sQ8_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f626])).
% 0.14/5.44 fof(f631,plain,(
% 0.14/5.44 ![X0]: (~sP11_prd(X0,sK16_skl)|s(X0)|~sQ26_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f98,f209])).
% 0.14/5.44 fof(f633,plain,(
% 0.14/5.44 ![X0]: (~sP11_prd(sK16_skl,X0)|s(X0)|~sQ26_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f99,f209])).
% 0.14/5.44 fof(f634,plain,(
% 0.14/5.44 ![X0]: (~sP11_prd(sK18_skl,X0)|s(X0)|~sQ32_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f99,f234])).
% 0.14/5.44 fof(f636,plain,(
% 0.14/5.44 ![X0]: (s(X0)|~s(sK16_skl)|~s(X0)|~sQ26_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f631,f100])).
% 0.14/5.44 fof(f638,plain,(
% 0.14/5.44 sQ52_spl|~sQ26_spl),
% 0.14/5.44 inference(split_clause,[status(thm)],[f636,f518,f208])).
% 0.14/5.44 fof(f643,plain,(
% 0.14/5.44 s(sK23_skl)|~sQ26_spl|~sQ38_spl),
% 0.14/5.44 inference(resolution,[status(thm)],[f633,f256])).
% 0.14/5.44 fof(f648,plain,(
% 0.14/5.44 s(sK23_skl)|~sQ32_spl|~sQ38_spl),
% 0.14/5.44 inference(resolution,[status(thm)],[f634,f256])).
% 0.14/5.44 fof(f654,plain,(
% 0.14/5.44 ![X0]: (~sP11_prd(X0,sK23_skl)|s(X0)|~sQ26_spl|~sQ38_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f643,f98])).
% 0.14/5.44 fof(f656,plain,(
% 0.14/5.44 $false|~sQ26_spl|~sQ38_spl|sQ35_spl),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f246,f658])).
% 0.14/5.44 fof(f657,plain,(
% 0.14/5.44 $false|~sQ26_spl|~sQ38_spl|sQ25_spl),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f206,f658])).
% 0.14/5.44 fof(f658,plain,(
% 0.14/5.44 ![X0]: (s(X0)|~sQ26_spl|~sQ38_spl)),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f654,f256])).
% 0.14/5.44 fof(f660,plain,(
% 0.14/5.44 ~sQ26_spl|~sQ38_spl|sQ35_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f656])).
% 0.14/5.44 fof(f663,plain,(
% 0.14/5.44 ![X0]: (s(sK23_skl)|~s(X0)|~sQ38_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f256,f99])).
% 0.14/5.44 fof(f664,definition,(
% 0.14/5.44 sQ54_spl <=> (s(sK23_skl))),
% 0.14/5.44 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 0.14/5.44 fof(f667,plain,(
% 0.14/5.44 sQ54_spl|sQ30_spl|~sQ38_spl),
% 0.14/5.44 inference(split_clause,[status(thm)],[f663,f664,f226,f255])).
% 0.14/5.44 fof(f673,plain,(
% 0.14/5.44 ![X0]: (~sP11_prd(X0,sK23_skl)|s(X0)|~sQ32_spl|~sQ38_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f98,f648])).
% 0.14/5.44 fof(f675,plain,(
% 0.14/5.44 $false|~sQ32_spl|~sQ38_spl|sQ26_spl),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f210,f679])).
% 0.14/5.44 fof(f676,plain,(
% 0.14/5.44 $false|~sQ32_spl|~sQ38_spl|sQ25_spl),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f206,f679])).
% 0.14/5.44 fof(f679,plain,(
% 0.14/5.44 ![X0]: (s(X0)|~sQ32_spl|~sQ38_spl)),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f673,f256])).
% 0.14/5.44 fof(f680,plain,(
% 0.14/5.44 ~sQ32_spl|~sQ38_spl|sQ26_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f675])).
% 0.14/5.44 fof(f681,plain,(
% 0.14/5.44 ~sQ32_spl|~sQ38_spl|sQ25_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f676])).
% 0.14/5.44 fof(f682,plain,(
% 0.14/5.44 ~sQ26_spl|~sQ38_spl|sQ25_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f657])).
% 0.14/5.44 fof(f691,plain,(
% 0.14/5.44 $false|~sQ20_spl|~sQ19_spl),
% 0.14/5.44 inference(resolution,[status(thm)],[f187,f183])).
% 0.14/5.44 fof(f692,plain,(
% 0.14/5.44 ~sQ20_spl|~sQ19_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f691])).
% 0.14/5.44 fof(f698,plain,(
% 0.14/5.44 $false|~sQ4_spl|~sQ15_spl),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f168,f444])).
% 0.14/5.44 fof(f699,plain,(
% 0.14/5.44 ~sQ4_spl|~sQ15_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f698])).
% 0.14/5.44 fof(f700,plain,(
% 0.14/5.44 ![X0]: (~sP5_prd(sK2_skl,X0)|q(X0)|~sQ6_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f132,f57])).
% 0.14/5.44 fof(f707,plain,(
% 0.14/5.44 ![X0]: (~sP5_prd(X0,sK5_skl)|q(X0)|~sQ9_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f143,f56])).
% 0.14/5.44 fof(f708,plain,(
% 0.14/5.44 ![X0]: (~sP5_prd(sK5_skl,X0)|q(X0)|~sQ9_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f143,f57])).
% 0.14/5.44 fof(f727,plain,(
% 0.14/5.44 ![X0]: (q(X0)|~q(sK5_skl)|~q(X0)|~sQ9_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f707,f58])).
% 0.14/5.44 fof(f732,definition,(
% 0.14/5.44 ![X0]: (sQ56_spl <=> (q(X0)|~q(X0)))),
% 0.14/5.44 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.14/5.44 fof(f735,plain,(
% 0.14/5.44 sQ56_spl|~sQ9_spl),
% 0.14/5.44 inference(split_clause,[status(thm)],[f727,f732,f142])).
% 0.14/5.44 fof(f736,plain,(
% 0.14/5.44 q(sK9_skl)|~sQ9_spl|~sQ16_spl),
% 0.14/5.44 inference(resolution,[status(thm)],[f708,f172])).
% 0.14/5.44 fof(f748,plain,(
% 0.14/5.44 ![X0]: (~sP5_prd(X0,sK9_skl)|q(X0)|~sQ9_spl|~sQ16_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f736,f56])).
% 0.14/5.44 fof(f750,plain,(
% 0.14/5.44 ![X0,X1]: (sP5_prd(X0,X1)|~q(X1)|~sQ9_spl|~sQ16_spl)),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f58,f752])).
% 0.14/5.44 fof(f751,plain,(
% 0.14/5.44 $false|~sQ9_spl|~sQ16_spl|sQ44_spl),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f279,f752])).
% 0.14/5.44 fof(f752,plain,(
% 0.14/5.44 ![X0]: (q(X0)|~sQ9_spl|~sQ16_spl)),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f748,f172])).
% 0.14/5.44 fof(f753,plain,(
% 0.14/5.44 ![X0,X1]: (sP5_prd(X0,X1)|~sQ9_spl|~sQ16_spl)),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f750,f752])).
% 0.14/5.44 fof(f754,plain,(
% 0.14/5.44 ~sQ9_spl|~sQ16_spl|sQ44_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f751])).
% 0.14/5.44 fof(f759,plain,(
% 0.14/5.44 q(sK9_skl)|~sQ6_spl|~sQ16_spl),
% 0.14/5.44 inference(resolution,[status(thm)],[f700,f172])).
% 0.14/5.44 fof(f763,plain,(
% 0.14/5.44 ![X0]: (~sP5_prd(X0,sK9_skl)|q(X0)|~sQ6_spl|~sQ16_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f759,f56])).
% 0.14/5.44 fof(f764,plain,(
% 0.14/5.44 $false|~sQ6_spl|~sQ16_spl|sQ9_spl),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f144,f767])).
% 0.14/5.44 fof(f767,plain,(
% 0.14/5.44 ![X0]: (q(X0)|~sQ6_spl|~sQ16_spl)),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f763,f172])).
% 0.14/5.44 fof(f768,plain,(
% 0.14/5.44 ~sQ6_spl|~sQ16_spl|sQ9_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f764])).
% 0.14/5.44 fof(f789,plain,(
% 0.14/5.44 ![X0]: (q(sK7_skl)|~q(X0)|~sQ14_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f57,f164])).
% 0.14/5.44 fof(f790,definition,(
% 0.14/5.44 sQ57_spl <=> (q(sK7_skl))),
% 0.14/5.44 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.14/5.44 fof(f793,plain,(
% 0.14/5.44 sQ57_spl|sQ4_spl|~sQ14_spl),
% 0.14/5.44 inference(split_clause,[status(thm)],[f789,f790,f124,f163])).
% 0.14/5.44 fof(f794,plain,(
% 0.14/5.44 ![X0]: (~q(sK7_skl)|q(X0)|~sQ14_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f56,f164])).
% 0.14/5.44 fof(f795,plain,(
% 0.14/5.44 ~sQ57_spl|sQ42_spl|~sQ14_spl),
% 0.14/5.44 inference(split_clause,[status(thm)],[f794,f790,f270,f163])).
% 0.14/5.44 fof(f827,plain,(
% 0.14/5.44 r(sK11_skl)|~sQ27_spl|~sQ19_spl),
% 0.14/5.44 inference(resolution,[status(thm)],[f499,f183])).
% 0.14/5.44 fof(f831,plain,(
% 0.14/5.44 ![X0]: (~sP7_prd(X0,sK11_skl)|r(X0)|~sQ27_spl|~sQ19_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f827,f68])).
% 0.14/5.44 fof(f834,plain,(
% 0.14/5.44 $false|~sQ27_spl|~sQ19_spl|sQ24_spl),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f203,f837])).
% 0.14/5.44 fof(f837,plain,(
% 0.14/5.44 ![X0]: (r(X0)|~sQ27_spl|~sQ19_spl)),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f831,f183])).
% 0.14/5.44 fof(f839,plain,(
% 0.14/5.44 ~sQ27_spl|~sQ19_spl|sQ24_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f834])).
% 0.14/5.44 fof(f843,plain,(
% 0.14/5.44 sQ5_spl|~sQ19_spl|~sQ24_spl),
% 0.14/5.44 inference(split_clause,[status(thm)],[f628,f127,f182,f201])).
% 0.14/5.44 fof(f844,plain,(
% 0.14/5.44 $false|~sQ27_spl|~sQ19_spl|sQ7_spl),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f136,f837])).
% 0.14/5.44 fof(f845,plain,(
% 0.14/5.44 ~sQ27_spl|~sQ19_spl|sQ7_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f844])).
% 0.14/5.44 fof(f850,plain,(
% 0.14/5.44 sQ42_spl|~sQ9_spl|~sQ16_spl),
% 0.14/5.44 inference(split_clause,[status(thm)],[f752,f270,f142,f171])).
% 0.14/5.44 fof(f853,plain,(
% 0.14/5.44 ![X0,X1]: (~q(X0)|q(X1)|~sQ9_spl|~sQ16_spl)),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f56,f753])).
% 0.14/5.44 fof(f859,plain,(
% 0.14/5.44 sQ4_spl|sQ42_spl|~sQ9_spl|~sQ16_spl),
% 0.14/5.44 inference(split_clause,[status(thm)],[f853,f124,f270,f142,f171])).
% 0.14/5.44 fof(f880,plain,(
% 0.14/5.44 ![X0]: (p(X0)|~p(X0)|~p(sK29_skl)|~sQ46_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f385,f19])).
% 0.14/5.44 fof(f883,plain,(
% 0.14/5.44 sQ47_spl|~sQ46_spl),
% 0.14/5.44 inference(split_clause,[status(thm)],[f880,f378,f285])).
% 0.14/5.44 fof(f890,plain,(
% 0.14/5.44 s(sK25_skl)|~sQ35_spl|~sQ40_spl),
% 0.14/5.44 inference(resolution,[status(thm)],[f426,f264])).
% 0.14/5.44 fof(f909,definition,(
% 0.14/5.44 sQ58_spl <=> (s(sK25_skl))),
% 0.14/5.44 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.14/5.44 fof(f910,plain,(
% 0.14/5.44 s(sK25_skl)|~sQ58_spl),
% 0.14/5.44 inference(component_clause,[status(thm)],[f909])).
% 0.14/5.44 fof(f915,plain,(
% 0.14/5.44 ![X0]: (~sP11_prd(X0,sK25_skl)|s(X0)|~sQ35_spl|~sQ40_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f98,f890])).
% 0.14/5.44 fof(f919,plain,(
% 0.14/5.44 $false|~sQ35_spl|~sQ40_spl|sQ26_spl),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f210,f920])).
% 0.14/5.44 fof(f920,plain,(
% 0.14/5.44 ![X0]: (s(X0)|~sQ35_spl|~sQ40_spl)),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f915,f264])).
% 0.14/5.44 fof(f922,plain,(
% 0.14/5.44 ~sQ35_spl|~sQ40_spl|sQ26_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f919])).
% 0.14/5.44 fof(f934,plain,(
% 0.14/5.44 ![X0]: (s(sK25_skl)|~s(X0)|~sQ40_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f264,f99])).
% 0.14/5.44 fof(f935,plain,(
% 0.14/5.44 sQ58_spl|sQ30_spl|~sQ40_spl),
% 0.14/5.44 inference(split_clause,[status(thm)],[f934,f909,f226,f263])).
% 0.14/5.44 fof(f936,plain,(
% 0.14/5.44 ![X0]: (~sP11_prd(X0,sK25_skl)|s(X0)|~sQ58_spl)),
% 0.14/5.44 inference(resolution,[status(thm)],[f910,f98])).
% 0.14/5.44 fof(f937,plain,(
% 0.14/5.44 $false|~sQ40_spl|~sQ58_spl|sQ35_spl),
% 0.14/5.44 inference(backward_subsumption_resolution,[status(thm)],[f246,f940])).
% 0.14/5.44 fof(f940,plain,(
% 0.14/5.44 ![X0]: (s(X0)|~sQ40_spl|~sQ58_spl)),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f936,f264])).
% 0.14/5.44 fof(f941,plain,(
% 0.14/5.44 ~sQ40_spl|~sQ58_spl|sQ35_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f937])).
% 0.14/5.44 fof(f944,plain,(
% 0.14/5.44 $false|~sQ40_spl|~sQ58_spl|sQ25_spl),
% 0.14/5.44 inference(forward_subsumption_resolution,[status(thm)],[f206,f940])).
% 0.14/5.44 fof(f945,plain,(
% 0.14/5.44 ~sQ40_spl|~sQ58_spl|sQ25_spl),
% 0.14/5.44 inference(contradiction_clause,[status(thm)],[f944])).
% 0.14/5.44 fof(f946,plain,(
% 0.14/5.44 $false),
% 0.14/5.44 inference(sat_refutation,[status(thm)],[f117,f118,f122,f123,f130,f137,f141,f145,f152,f153,f154,f155,f162,f166,f170,f174,f181,f185,f189,f193,f200,f207,f211,f215,f222,f223,f224,f225,f232,f239,f243,f247,f254,f258,f262,f266,f273,f280,f284,f288,f292,f295,f298,f300,f319,f322,f326,f339,f341,f342,f346,f347,f348,f350,f352,f361,f363,f364,f384,f391,f395,f400,f408,f414,f416,f417,f420,f432,f435,f441,f451,f453,f462,f464,f486,f490,f498,f521,f528,f529,f531,f541,f552,f557,f561,f577,f612,f630,f638,f660,f667,f680,f681,f682,f692,f699,f735,f754,f768,f793,f795,f839,f843,f845,f850,f859,f883,f922,f935,f941,f945])).
% 0.14/5.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.44 % Elapsed time: 0.071286 seconds
% 0.14/5.44 % CPU time: 0.356913 seconds
% 0.14/5.44 % Total memory used: 20.683 MB
% 0.14/5.44 % Net memory used: 20.398 MB
%------------------------------------------------------------------------------