TSTP Solution File: LCL517+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LCL517+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:19:30 EDT 2023
% Result : Theorem 0.13s 0.38s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL517+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:34:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 ( modus_ponens<=> (! [X,Y] :( ( is_a_theorem(X)& is_a_theorem(implies(X,Y)) )=> is_a_theorem(Y) ) )) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f16,axiom,(
% 0.13/0.38 ( kn1<=> (! [P] : is_a_theorem(implies(P,and(P,P))) )) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f17,axiom,(
% 0.13/0.38 ( kn2<=> (! [P,Q] : is_a_theorem(implies(and(P,Q),P)) )) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f18,axiom,(
% 0.13/0.38 ( kn3<=> (! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P))))) )) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f21,axiom,(
% 0.13/0.38 ( cn3<=> (! [P] : is_a_theorem(implies(implies(not(P),P),P)) )) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f27,axiom,(
% 0.13/0.38 ( op_or=> (! [X,Y] : or(X,Y) = not(and(not(X),not(Y))) )) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f29,axiom,(
% 0.13/0.38 ( op_implies_and=> (! [X,Y] : implies(X,Y) = not(and(X,not(Y))) )) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f32,axiom,(
% 0.13/0.38 op_or ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f33,axiom,(
% 0.13/0.38 op_implies_and ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f35,axiom,(
% 0.13/0.38 modus_ponens ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f36,axiom,(
% 0.13/0.38 kn1 ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f37,axiom,(
% 0.13/0.38 kn2 ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f38,axiom,(
% 0.13/0.38 kn3 ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f43,conjecture,(
% 0.13/0.38 cn3 ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f44,negated_conjecture,(
% 0.13/0.38 ~(cn3 )),
% 0.13/0.38 inference(negated_conjecture,[status(cth)],[f43])).
% 0.13/0.38 fof(f45,plain,(
% 0.13/0.38 modus_ponens<=>(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(implies(X,Y)))|is_a_theorem(Y)))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.13/0.38 fof(f46,plain,(
% 0.13/0.38 (~modus_ponens|(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(implies(X,Y)))|is_a_theorem(Y))))&(modus_ponens|(?[X,Y]: ((is_a_theorem(X)&is_a_theorem(implies(X,Y)))&~is_a_theorem(Y))))),
% 0.13/0.38 inference(NNF_transformation,[status(esa)],[f45])).
% 0.13/0.38 fof(f47,plain,(
% 0.13/0.38 (~modus_ponens|(![Y]: ((![X]: (~is_a_theorem(X)|~is_a_theorem(implies(X,Y))))|is_a_theorem(Y))))&(modus_ponens|(?[Y]: ((?[X]: (is_a_theorem(X)&is_a_theorem(implies(X,Y))))&~is_a_theorem(Y))))),
% 0.13/0.38 inference(miniscoping,[status(esa)],[f46])).
% 0.13/0.38 fof(f48,plain,(
% 0.13/0.38 (~modus_ponens|(![Y]: ((![X]: (~is_a_theorem(X)|~is_a_theorem(implies(X,Y))))|is_a_theorem(Y))))&(modus_ponens|((is_a_theorem(sk0_1)&is_a_theorem(implies(sk0_1,sk0_0)))&~is_a_theorem(sk0_0)))),
% 0.13/0.38 inference(skolemization,[status(esa)],[f47])).
% 0.13/0.38 fof(f49,plain,(
% 0.13/0.38 ![X0,X1]: (~modus_ponens|~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f48])).
% 0.13/0.38 fof(f111,plain,(
% 0.13/0.38 (~kn1|(![P]: is_a_theorem(implies(P,and(P,P)))))&(kn1|(?[P]: ~is_a_theorem(implies(P,and(P,P)))))),
% 0.13/0.38 inference(NNF_transformation,[status(esa)],[f16])).
% 0.13/0.38 fof(f112,plain,(
% 0.13/0.38 (~kn1|(![P]: is_a_theorem(implies(P,and(P,P)))))&(kn1|~is_a_theorem(implies(sk0_32,and(sk0_32,sk0_32))))),
% 0.13/0.38 inference(skolemization,[status(esa)],[f111])).
% 0.13/0.38 fof(f113,plain,(
% 0.13/0.38 ![X0]: (~kn1|is_a_theorem(implies(X0,and(X0,X0))))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f112])).
% 0.13/0.38 fof(f115,plain,(
% 0.13/0.38 (~kn2|(![P,Q]: is_a_theorem(implies(and(P,Q),P))))&(kn2|(?[P,Q]: ~is_a_theorem(implies(and(P,Q),P))))),
% 0.13/0.38 inference(NNF_transformation,[status(esa)],[f17])).
% 0.13/0.38 fof(f116,plain,(
% 0.13/0.38 (~kn2|(![P,Q]: is_a_theorem(implies(and(P,Q),P))))&(kn2|~is_a_theorem(implies(and(sk0_33,sk0_34),sk0_33)))),
% 0.13/0.38 inference(skolemization,[status(esa)],[f115])).
% 0.13/0.38 fof(f117,plain,(
% 0.13/0.38 ![X0,X1]: (~kn2|is_a_theorem(implies(and(X0,X1),X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f116])).
% 0.13/0.38 fof(f119,plain,(
% 0.13/0.38 (~kn3|(![P,Q,R]: is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P)))))))&(kn3|(?[P,Q,R]: ~is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P)))))))),
% 0.13/0.38 inference(NNF_transformation,[status(esa)],[f18])).
% 0.13/0.38 fof(f120,plain,(
% 0.13/0.38 (~kn3|(![P,Q,R]: is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P)))))))&(kn3|~is_a_theorem(implies(implies(sk0_35,sk0_36),implies(not(and(sk0_36,sk0_37)),not(and(sk0_37,sk0_35))))))),
% 0.13/0.38 inference(skolemization,[status(esa)],[f119])).
% 0.13/0.38 fof(f121,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~kn3|is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0))))))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f120])).
% 0.13/0.38 fof(f131,plain,(
% 0.13/0.38 (~cn3|(![P]: is_a_theorem(implies(implies(not(P),P),P))))&(cn3|(?[P]: ~is_a_theorem(implies(implies(not(P),P),P))))),
% 0.13/0.38 inference(NNF_transformation,[status(esa)],[f21])).
% 0.13/0.38 fof(f132,plain,(
% 0.13/0.38 (~cn3|(![P]: is_a_theorem(implies(implies(not(P),P),P))))&(cn3|~is_a_theorem(implies(implies(not(sk0_43),sk0_43),sk0_43)))),
% 0.13/0.38 inference(skolemization,[status(esa)],[f131])).
% 0.13/0.38 fof(f134,plain,(
% 0.13/0.38 cn3|~is_a_theorem(implies(implies(not(sk0_43),sk0_43),sk0_43))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f132])).
% 0.13/0.38 fof(f155,plain,(
% 0.13/0.38 ~op_or|(![X,Y]: or(X,Y)=not(and(not(X),not(Y))))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 0.13/0.38 fof(f156,plain,(
% 0.13/0.38 ![X0,X1]: (~op_or|or(X0,X1)=not(and(not(X0),not(X1))))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f155])).
% 0.13/0.38 fof(f159,plain,(
% 0.13/0.38 ~op_implies_and|(![X,Y]: implies(X,Y)=not(and(X,not(Y))))),
% 0.13/0.38 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 0.13/0.38 fof(f160,plain,(
% 0.13/0.38 ![X0,X1]: (~op_implies_and|implies(X0,X1)=not(and(X0,not(X1))))),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f159])).
% 0.13/0.38 fof(f165,plain,(
% 0.13/0.38 op_or),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f32])).
% 0.13/0.38 fof(f166,plain,(
% 0.13/0.38 op_implies_and),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f33])).
% 0.13/0.38 fof(f168,plain,(
% 0.13/0.38 modus_ponens),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f35])).
% 0.13/0.38 fof(f169,plain,(
% 0.13/0.38 kn1),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f36])).
% 0.13/0.38 fof(f170,plain,(
% 0.13/0.38 kn2),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f37])).
% 0.13/0.38 fof(f171,plain,(
% 0.13/0.38 kn3),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f38])).
% 0.13/0.38 fof(f176,plain,(
% 0.13/0.38 ~cn3),
% 0.13/0.38 inference(cnf_transformation,[status(esa)],[f44])).
% 0.13/0.38 fof(f177,plain,(
% 0.13/0.38 spl0_0 <=> modus_ponens),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f179,plain,(
% 0.13/0.38 ~modus_ponens|spl0_0),
% 0.13/0.38 inference(component_clause,[status(thm)],[f177])).
% 0.13/0.38 fof(f180,plain,(
% 0.13/0.38 spl0_1 <=> ~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f181,plain,(
% 0.13/0.38 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)|~spl0_1)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f180])).
% 0.13/0.38 fof(f183,plain,(
% 0.13/0.38 ~spl0_0|spl0_1),
% 0.13/0.38 inference(split_clause,[status(thm)],[f49,f177,f180])).
% 0.13/0.38 fof(f258,plain,(
% 0.13/0.38 spl0_22 <=> is_a_theorem(implies(and(X0,X1),X0))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f259,plain,(
% 0.13/0.38 ![X0,X1]: (is_a_theorem(implies(and(X0,X1),X0))|~spl0_22)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f258])).
% 0.13/0.38 fof(f354,plain,(
% 0.13/0.38 spl0_48 <=> kn1),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f356,plain,(
% 0.13/0.38 ~kn1|spl0_48),
% 0.13/0.38 inference(component_clause,[status(thm)],[f354])).
% 0.13/0.38 fof(f357,plain,(
% 0.13/0.38 spl0_49 <=> is_a_theorem(implies(X0,and(X0,X0)))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f358,plain,(
% 0.13/0.38 ![X0]: (is_a_theorem(implies(X0,and(X0,X0)))|~spl0_49)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f357])).
% 0.13/0.38 fof(f360,plain,(
% 0.13/0.38 ~spl0_48|spl0_49),
% 0.13/0.38 inference(split_clause,[status(thm)],[f113,f354,f357])).
% 0.13/0.38 fof(f365,plain,(
% 0.13/0.38 spl0_51 <=> kn2),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f367,plain,(
% 0.13/0.38 ~kn2|spl0_51),
% 0.13/0.38 inference(component_clause,[status(thm)],[f365])).
% 0.13/0.38 fof(f368,plain,(
% 0.13/0.38 ~spl0_51|spl0_22),
% 0.13/0.38 inference(split_clause,[status(thm)],[f117,f365,f258])).
% 0.13/0.38 fof(f373,plain,(
% 0.13/0.38 spl0_53 <=> kn3),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f375,plain,(
% 0.13/0.38 ~kn3|spl0_53),
% 0.13/0.38 inference(component_clause,[status(thm)],[f373])).
% 0.13/0.38 fof(f376,plain,(
% 0.13/0.38 spl0_54 <=> is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f377,plain,(
% 0.13/0.38 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))|~spl0_54)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f376])).
% 0.13/0.38 fof(f379,plain,(
% 0.13/0.38 ~spl0_53|spl0_54),
% 0.13/0.38 inference(split_clause,[status(thm)],[f121,f373,f376])).
% 0.13/0.38 fof(f403,plain,(
% 0.13/0.38 spl0_61 <=> cn3),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f404,plain,(
% 0.13/0.38 cn3|~spl0_61),
% 0.13/0.38 inference(component_clause,[status(thm)],[f403])).
% 0.13/0.38 fof(f410,plain,(
% 0.13/0.38 spl0_63 <=> is_a_theorem(implies(implies(not(sk0_43),sk0_43),sk0_43))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f412,plain,(
% 0.13/0.38 ~is_a_theorem(implies(implies(not(sk0_43),sk0_43),sk0_43))|spl0_63),
% 0.13/0.38 inference(component_clause,[status(thm)],[f410])).
% 0.13/0.38 fof(f413,plain,(
% 0.13/0.38 spl0_61|~spl0_63),
% 0.13/0.38 inference(split_clause,[status(thm)],[f134,f403,f410])).
% 0.13/0.38 fof(f466,plain,(
% 0.13/0.38 spl0_78 <=> op_or),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f468,plain,(
% 0.13/0.38 ~op_or|spl0_78),
% 0.13/0.38 inference(component_clause,[status(thm)],[f466])).
% 0.13/0.38 fof(f469,plain,(
% 0.13/0.38 spl0_79 <=> or(X0,X1)=not(and(not(X0),not(X1)))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f470,plain,(
% 0.13/0.38 ![X0,X1]: (or(X0,X1)=not(and(not(X0),not(X1)))|~spl0_79)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f469])).
% 0.13/0.38 fof(f472,plain,(
% 0.13/0.38 ~spl0_78|spl0_79),
% 0.13/0.38 inference(split_clause,[status(thm)],[f156,f466,f469])).
% 0.13/0.38 fof(f480,plain,(
% 0.13/0.38 spl0_82 <=> op_implies_and),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f482,plain,(
% 0.13/0.38 ~op_implies_and|spl0_82),
% 0.13/0.38 inference(component_clause,[status(thm)],[f480])).
% 0.13/0.38 fof(f483,plain,(
% 0.13/0.38 spl0_83 <=> implies(X0,X1)=not(and(X0,not(X1)))),
% 0.13/0.38 introduced(split_symbol_definition)).
% 0.13/0.38 fof(f484,plain,(
% 0.13/0.38 ![X0,X1]: (implies(X0,X1)=not(and(X0,not(X1)))|~spl0_83)),
% 0.13/0.38 inference(component_clause,[status(thm)],[f483])).
% 0.13/0.38 fof(f486,plain,(
% 0.13/0.38 ~spl0_82|spl0_83),
% 0.13/0.38 inference(split_clause,[status(thm)],[f160,f480,f483])).
% 0.13/0.38 fof(f503,plain,(
% 0.13/0.38 $false|spl0_0),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f179,f168])).
% 0.13/0.38 fof(f504,plain,(
% 0.13/0.38 spl0_0),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f503])).
% 0.13/0.38 fof(f509,plain,(
% 0.13/0.38 $false|spl0_82),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f482,f166])).
% 0.13/0.38 fof(f510,plain,(
% 0.13/0.38 spl0_82),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f509])).
% 0.13/0.38 fof(f511,plain,(
% 0.13/0.38 $false|spl0_78),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f468,f165])).
% 0.13/0.38 fof(f512,plain,(
% 0.13/0.38 spl0_78),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f511])).
% 0.13/0.38 fof(f519,plain,(
% 0.13/0.38 $false|spl0_51),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f367,f170])).
% 0.13/0.38 fof(f520,plain,(
% 0.13/0.38 spl0_51),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f519])).
% 0.13/0.38 fof(f525,plain,(
% 0.13/0.38 $false|spl0_48),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f356,f169])).
% 0.13/0.38 fof(f526,plain,(
% 0.13/0.38 spl0_48),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f525])).
% 0.13/0.38 fof(f544,plain,(
% 0.13/0.38 ![X0,X1,X2]: (implies(X0,and(X1,not(X2)))=not(and(X0,implies(X1,X2)))|~spl0_83)),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f484,f484])).
% 0.13/0.38 fof(f571,plain,(
% 0.13/0.38 ![X0,X1]: (or(X0,X1)=implies(not(X0),X1)|~spl0_83|~spl0_79)),
% 0.19/0.38 inference(forward_demodulation,[status(thm)],[f484,f470])).
% 0.19/0.38 fof(f573,plain,(
% 0.19/0.38 ~is_a_theorem(implies(or(sk0_43,sk0_43),sk0_43))|~spl0_83|~spl0_79|spl0_63),
% 0.19/0.38 inference(backward_demodulation,[status(thm)],[f571,f412])).
% 0.19/0.38 fof(f574,plain,(
% 0.19/0.38 ![X0,X1,X2]: (or(and(X0,not(X1)),X2)=implies(implies(X0,X1),X2)|~spl0_79|~spl0_83)),
% 0.19/0.38 inference(paramodulation,[status(thm)],[f484,f571])).
% 0.19/0.38 fof(f575,plain,(
% 0.19/0.38 ![X0]: (is_a_theorem(or(X0,and(not(X0),not(X0))))|~spl0_49|~spl0_83|~spl0_79)),
% 0.19/0.38 inference(paramodulation,[status(thm)],[f571,f358])).
% 0.19/0.38 fof(f582,plain,(
% 0.19/0.38 ![X0,X1]: (~is_a_theorem(not(X0))|~is_a_theorem(or(X0,X1))|is_a_theorem(X1)|~spl0_1|~spl0_83|~spl0_79)),
% 0.19/0.38 inference(paramodulation,[status(thm)],[f571,f181])).
% 0.19/0.38 fof(f597,plain,(
% 0.19/0.38 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),or(and(X1,X2),not(and(X2,X0)))))|~spl0_83|~spl0_79|~spl0_54)),
% 0.19/0.38 inference(forward_demodulation,[status(thm)],[f571,f377])).
% 0.19/0.38 fof(f598,plain,(
% 0.19/0.38 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(or(and(X1,X2),not(and(X2,X0))))|~spl0_83|~spl0_79|~spl0_54|~spl0_1)),
% 0.19/0.38 inference(resolution,[status(thm)],[f597,f181])).
% 0.19/0.38 fof(f599,plain,(
% 0.19/0.38 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),or(and(X1,X2),not(and(X2,not(X0))))))|~spl0_54|~spl0_83|~spl0_79)),
% 0.19/0.38 inference(paramodulation,[status(thm)],[f571,f597])).
% 0.19/0.38 fof(f600,plain,(
% 0.19/0.38 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),or(and(X1,X2),implies(X2,X0))))|~spl0_54|~spl0_83|~spl0_79)),
% 0.19/0.38 inference(forward_demodulation,[status(thm)],[f484,f599])).
% 0.19/0.38 fof(f644,plain,(
% 0.19/0.38 ![X0,X1,X2]: (implies(X0,and(not(X1),not(X2)))=not(and(X0,or(X1,X2)))|~spl0_83|~spl0_79)),
% 0.19/0.38 inference(paramodulation,[status(thm)],[f571,f544])).
% 0.19/0.38 fof(f751,plain,(
% 0.19/0.38 ![X0,X1,X2]: (~is_a_theorem(or(X0,X1))|is_a_theorem(or(and(X1,X2),implies(X2,X0)))|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 0.19/0.38 inference(resolution,[status(thm)],[f600,f181])).
% 0.19/0.38 fof(f753,plain,(
% 0.19/0.38 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),implies(implies(X1,X2),implies(not(X2),X0))))|~spl0_54|~spl0_79|~spl0_83)),
% 0.19/0.38 inference(paramodulation,[status(thm)],[f574,f600])).
% 0.19/0.38 fof(f754,plain,(
% 0.19/0.38 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),implies(implies(X1,X2),or(X2,X0))))|~spl0_54|~spl0_79|~spl0_83)),
% 0.19/0.38 inference(forward_demodulation,[status(thm)],[f571,f753])).
% 0.19/0.38 fof(f804,plain,(
% 0.19/0.38 $false|spl0_53),
% 0.19/0.38 inference(forward_subsumption_resolution,[status(thm)],[f375,f171])).
% 0.19/0.38 fof(f805,plain,(
% 0.19/0.38 spl0_53),
% 0.19/0.38 inference(contradiction_clause,[status(thm)],[f804])).
% 0.19/0.38 fof(f823,plain,(
% 0.19/0.38 ![X0,X1,X2]: (~is_a_theorem(or(X0,X1))|is_a_theorem(implies(implies(X1,X2),or(X2,X0)))|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 0.19/0.38 inference(resolution,[status(thm)],[f754,f181])).
% 0.19/0.38 fof(f830,plain,(
% 0.19/0.38 ![X0,X1]: (is_a_theorem(implies(implies(and(not(X0),not(X0)),X1),or(X1,X0)))|~spl0_54|~spl0_1|~spl0_49|~spl0_83|~spl0_79)),
% 0.19/0.38 inference(resolution,[status(thm)],[f823,f575])).
% 0.19/0.38 fof(f850,plain,(
% 0.19/0.38 ![X0,X1]: (~is_a_theorem(implies(and(not(X0),not(X0)),X1))|is_a_theorem(or(X1,X0))|~spl0_54|~spl0_49|~spl0_83|~spl0_79|~spl0_1)),
% 0.19/0.38 inference(resolution,[status(thm)],[f830,f181])).
% 0.19/0.38 fof(f860,plain,(
% 0.19/0.38 ![X0]: (is_a_theorem(or(not(X0),X0))|~spl0_54|~spl0_49|~spl0_83|~spl0_79|~spl0_1|~spl0_22)),
% 0.19/0.38 inference(resolution,[status(thm)],[f850,f259])).
% 0.19/0.38 fof(f872,plain,(
% 0.19/0.38 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),or(X1,not(X0))))|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 0.19/0.38 inference(resolution,[status(thm)],[f860,f823])).
% 0.19/0.38 fof(f876,plain,(
% 0.19/0.38 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(or(X1,not(X0)))|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 0.19/0.38 inference(resolution,[status(thm)],[f872,f181])).
% 0.19/0.38 fof(f880,plain,(
% 0.19/0.38 ![X0,X1]: (is_a_theorem(implies(or(X0,X1),or(X1,not(not(X0)))))|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_83|~spl0_79)),
% 0.19/0.38 inference(paramodulation,[status(thm)],[f571,f872])).
% 0.19/0.38 fof(f904,plain,(
% 0.19/0.38 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(not(X0),X2),or(X2,X1)))|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 0.19/0.38 inference(resolution,[status(thm)],[f876,f823])).
% 0.19/0.38 fof(f905,plain,(
% 0.19/0.38 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(or(X0,X2),or(X2,X1)))|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 0.19/0.38 inference(forward_demodulation,[status(thm)],[f571,f904])).
% 0.19/0.38 fof(f910,plain,(
% 0.19/0.38 ![X0,X1]: (~is_a_theorem(or(X0,X1))|is_a_theorem(or(X1,not(not(X0))))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 0.19/0.38 inference(resolution,[status(thm)],[f880,f181])).
% 0.19/0.38 fof(f938,plain,(
% 0.19/0.38 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(or(X0,X2))|is_a_theorem(or(X2,X1))|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 0.19/0.38 inference(resolution,[status(thm)],[f905,f181])).
% 0.19/0.38 fof(f984,plain,(
% 0.19/0.38 ![X0]: (is_a_theorem(not(and(not(X0),or(X0,X0))))|~spl0_49|~spl0_83|~spl0_79)),
% 0.19/0.38 inference(paramodulation,[status(thm)],[f644,f358])).
% 0.19/0.38 fof(f1030,plain,(
% 0.19/0.38 ![X0,X1]: (~is_a_theorem(or(and(not(X0),or(X0,X0)),X1))|is_a_theorem(X1)|~spl0_49|~spl0_1|~spl0_83|~spl0_79)),
% 0.19/0.38 inference(resolution,[status(thm)],[f984,f582])).
% 0.19/0.38 fof(f1128,plain,(
% 0.19/0.38 ![X0,X1]: (~is_a_theorem(implies(X0,not(X1)))|is_a_theorem(not(and(or(X1,X1),X0)))|~spl0_54|~spl0_49|~spl0_1|~spl0_83|~spl0_79)),
% 0.19/0.40 inference(resolution,[status(thm)],[f598,f1030])).
% 0.19/0.40 fof(f1147,plain,(
% 0.19/0.40 ![X0,X1]: (~is_a_theorem(implies(not(X0),not(X1)))|is_a_theorem(implies(or(X1,X1),X0))|~spl0_54|~spl0_49|~spl0_1|~spl0_79|~spl0_83)),
% 0.19/0.40 inference(paramodulation,[status(thm)],[f484,f1128])).
% 0.19/0.40 fof(f1148,plain,(
% 0.19/0.40 ![X0,X1]: (~is_a_theorem(or(X0,not(X1)))|is_a_theorem(implies(or(X1,X1),X0))|~spl0_54|~spl0_49|~spl0_1|~spl0_79|~spl0_83)),
% 0.19/0.40 inference(forward_demodulation,[status(thm)],[f571,f1147])).
% 0.19/0.40 fof(f1154,plain,(
% 0.19/0.40 ![X0,X1]: (is_a_theorem(implies(or(not(X0),not(X0)),X1))|~is_a_theorem(or(X0,X1))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 0.19/0.40 inference(resolution,[status(thm)],[f1148,f910])).
% 0.19/0.40 fof(f1155,plain,(
% 0.19/0.40 ![X0,X1]: (is_a_theorem(implies(or(X0,X0),X1))|~is_a_theorem(implies(X0,X1))|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 0.19/0.40 inference(resolution,[status(thm)],[f1148,f876])).
% 0.19/0.40 fof(f1161,plain,(
% 0.19/0.40 ~is_a_theorem(implies(sk0_43,sk0_43))|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_83|~spl0_79|spl0_63),
% 0.19/0.40 inference(resolution,[status(thm)],[f1155,f573])).
% 0.19/0.40 fof(f1186,plain,(
% 0.19/0.40 ![X0]: (is_a_theorem(implies(or(not(not(X0)),not(not(X0))),X0))|~spl0_54|~spl0_49|~spl0_83|~spl0_79|~spl0_1|~spl0_22)),
% 0.19/0.40 inference(resolution,[status(thm)],[f1154,f860])).
% 0.19/0.40 fof(f1199,plain,(
% 0.19/0.40 ![X0]: (~is_a_theorem(or(not(not(X0)),not(not(X0))))|is_a_theorem(X0)|~spl0_54|~spl0_49|~spl0_83|~spl0_79|~spl0_22|~spl0_1)),
% 0.19/0.40 inference(resolution,[status(thm)],[f1186,f181])).
% 0.19/0.40 fof(f1213,plain,(
% 0.19/0.40 ![X0]: (is_a_theorem(X0)|~is_a_theorem(or(X0,not(not(X0))))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 0.19/0.40 inference(resolution,[status(thm)],[f1199,f910])).
% 0.19/0.40 fof(f1225,plain,(
% 0.19/0.40 ![X0]: (is_a_theorem(X0)|~is_a_theorem(or(X0,X0))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 0.19/0.40 inference(resolution,[status(thm)],[f1213,f910])).
% 0.19/0.40 fof(f1236,plain,(
% 0.19/0.40 ![X0,X1]: (is_a_theorem(X0)|~is_a_theorem(implies(X1,X0))|~is_a_theorem(or(X1,X0))|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 0.19/0.40 inference(resolution,[status(thm)],[f1225,f938])).
% 0.19/0.40 fof(f1596,plain,(
% 0.19/0.40 ![X0,X1]: (is_a_theorem(or(X0,not(and(X0,X1))))|~spl0_49|~spl0_54|~spl0_79|~spl0_83|~spl0_1|~spl0_22)),
% 0.19/0.40 inference(resolution,[status(thm)],[f876,f259])).
% 0.19/0.40 fof(f1609,plain,(
% 0.19/0.40 ![X0,X1]: (is_a_theorem(or(X0,implies(X0,X1)))|~spl0_49|~spl0_54|~spl0_79|~spl0_1|~spl0_22|~spl0_83)),
% 0.19/0.40 inference(paramodulation,[status(thm)],[f484,f1596])).
% 0.19/0.40 fof(f1614,plain,(
% 0.19/0.40 ![X0,X1,X2]: (is_a_theorem(or(and(implies(X0,X1),X2),implies(X2,X0)))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 0.19/0.40 inference(resolution,[status(thm)],[f1609,f751])).
% 0.19/0.40 fof(f1686,plain,(
% 0.19/0.40 ![X0,X1]: (is_a_theorem(X0)|~is_a_theorem(or(and(X0,X1),X0))|~spl0_49|~spl0_54|~spl0_79|~spl0_83|~spl0_1|~spl0_22)),
% 0.19/0.40 inference(resolution,[status(thm)],[f1236,f259])).
% 0.19/0.40 fof(f1729,plain,(
% 0.19/0.40 ![X0]: (is_a_theorem(implies(X0,X0))|~spl0_49|~spl0_54|~spl0_79|~spl0_83|~spl0_1|~spl0_22)),
% 0.19/0.40 inference(resolution,[status(thm)],[f1614,f1686])).
% 0.19/0.40 fof(f1749,plain,(
% 0.19/0.40 $false|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_83|~spl0_79|spl0_63),
% 0.19/0.40 inference(backward_subsumption_resolution,[status(thm)],[f1161,f1729])).
% 0.19/0.40 fof(f1750,plain,(
% 0.19/0.40 ~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_83|~spl0_79|spl0_63),
% 0.19/0.40 inference(contradiction_clause,[status(thm)],[f1749])).
% 0.19/0.40 fof(f1757,plain,(
% 0.19/0.40 $false|~spl0_61),
% 0.19/0.40 inference(forward_subsumption_resolution,[status(thm)],[f404,f176])).
% 0.19/0.40 fof(f1758,plain,(
% 0.19/0.40 ~spl0_61),
% 0.19/0.40 inference(contradiction_clause,[status(thm)],[f1757])).
% 0.19/0.40 fof(f1759,plain,(
% 0.19/0.40 $false),
% 0.19/0.40 inference(sat_refutation,[status(thm)],[f183,f360,f368,f379,f413,f472,f486,f504,f510,f512,f520,f526,f805,f1750,f1758])).
% 0.19/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.40 % Elapsed time: 0.053621 seconds
% 0.19/0.40 % CPU time: 0.265271 seconds
% 0.19/0.40 % Memory used: 21.658 MB
%------------------------------------------------------------------------------