TSTP Solution File: LCL520+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL520+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:27:22 EDT 2024
% Result : Theorem 0.18s 0.52s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL520+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Apr 29 20:28:32 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Drodi V3.6.0
% 0.18/0.52 % Refutation found
% 0.18/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.52 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.52 fof(f1,axiom,(
% 0.18/0.52 ( modus_ponens<=> (! [X,Y] :( ( is_a_theorem(X)& is_a_theorem(implies(X,Y)) )=> is_a_theorem(Y) ) )) ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f16,axiom,(
% 0.18/0.52 ( kn1<=> (! [P] : is_a_theorem(implies(P,and(P,P))) )) ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f17,axiom,(
% 0.18/0.52 ( kn2<=> (! [P,Q] : is_a_theorem(implies(and(P,Q),P)) )) ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f18,axiom,(
% 0.18/0.52 ( kn3<=> (! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P))))) )) ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f24,axiom,(
% 0.18/0.52 ( r3<=> (! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))) )) ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f27,axiom,(
% 0.18/0.52 ( op_or=> (! [X,Y] : or(X,Y) = not(and(not(X),not(Y))) )) ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f28,axiom,(
% 0.18/0.52 ( op_and=> (! [X,Y] : and(X,Y) = not(or(not(X),not(Y))) )) ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f29,axiom,(
% 0.18/0.52 ( op_implies_and=> (! [X,Y] : implies(X,Y) = not(and(X,not(Y))) )) ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f30,axiom,(
% 0.18/0.52 ( op_implies_or=> (! [X,Y] : implies(X,Y) = or(not(X),Y) )) ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f32,axiom,(
% 0.18/0.52 op_or ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f33,axiom,(
% 0.18/0.52 op_implies_and ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f35,axiom,(
% 0.18/0.52 modus_ponens ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f36,axiom,(
% 0.18/0.52 kn1 ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f37,axiom,(
% 0.18/0.52 kn2 ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f38,axiom,(
% 0.18/0.52 kn3 ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f40,axiom,(
% 0.18/0.52 op_implies_or ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f41,axiom,(
% 0.18/0.52 op_and ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f43,conjecture,(
% 0.18/0.52 r3 ),
% 0.18/0.52 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.52 fof(f44,negated_conjecture,(
% 0.18/0.52 ~(r3 )),
% 0.18/0.52 inference(negated_conjecture,[status(cth)],[f43])).
% 0.18/0.52 fof(f45,plain,(
% 0.18/0.52 modus_ponens<=>(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(implies(X,Y)))|is_a_theorem(Y)))),
% 0.18/0.52 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.18/0.52 fof(f46,plain,(
% 0.18/0.52 (~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))))),
% 0.18/0.52 inference(NNF_transformation,[status(esa)],[f45])).
% 0.18/0.52 fof(f47,plain,(
% 0.18/0.52 (~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))))),
% 0.18/0.52 inference(miniscoping,[status(esa)],[f46])).
% 0.18/0.52 fof(f48,plain,(
% 0.18/0.52 (~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)))),
% 0.18/0.52 inference(skolemization,[status(esa)],[f47])).
% 0.18/0.52 fof(f49,plain,(
% 0.18/0.52 ![X0,X1]: (~modus_ponens|~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1))),
% 0.18/0.52 inference(cnf_transformation,[status(esa)],[f48])).
% 0.18/0.52 fof(f111,plain,(
% 0.18/0.52 (~kn1|(![P]: is_a_theorem(implies(P,and(P,P)))))&(kn1|(?[P]: ~is_a_theorem(implies(P,and(P,P)))))),
% 0.18/0.52 inference(NNF_transformation,[status(esa)],[f16])).
% 0.18/0.52 fof(f112,plain,(
% 0.18/0.52 (~kn1|(![P]: is_a_theorem(implies(P,and(P,P)))))&(kn1|~is_a_theorem(implies(sk0_32,and(sk0_32,sk0_32))))),
% 0.18/0.52 inference(skolemization,[status(esa)],[f111])).
% 0.18/0.52 fof(f113,plain,(
% 0.18/0.52 ![X0]: (~kn1|is_a_theorem(implies(X0,and(X0,X0))))),
% 0.18/0.52 inference(cnf_transformation,[status(esa)],[f112])).
% 0.18/0.52 fof(f115,plain,(
% 0.18/0.52 (~kn2|(![P,Q]: is_a_theorem(implies(and(P,Q),P))))&(kn2|(?[P,Q]: ~is_a_theorem(implies(and(P,Q),P))))),
% 0.18/0.53 inference(NNF_transformation,[status(esa)],[f17])).
% 0.18/0.53 fof(f116,plain,(
% 0.18/0.53 (~kn2|(![P,Q]: is_a_theorem(implies(and(P,Q),P))))&(kn2|~is_a_theorem(implies(and(sk0_33,sk0_34),sk0_33)))),
% 0.18/0.53 inference(skolemization,[status(esa)],[f115])).
% 0.18/0.53 fof(f117,plain,(
% 0.18/0.53 ![X0,X1]: (~kn2|is_a_theorem(implies(and(X0,X1),X0)))),
% 0.18/0.53 inference(cnf_transformation,[status(esa)],[f116])).
% 0.18/0.53 fof(f119,plain,(
% 0.18/0.53 (~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)))))))),
% 0.18/0.53 inference(NNF_transformation,[status(esa)],[f18])).
% 0.18/0.53 fof(f120,plain,(
% 0.18/0.53 (~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))))))),
% 0.18/0.53 inference(skolemization,[status(esa)],[f119])).
% 0.18/0.53 fof(f121,plain,(
% 0.18/0.53 ![X0,X1,X2]: (~kn3|is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0))))))),
% 0.18/0.53 inference(cnf_transformation,[status(esa)],[f120])).
% 0.18/0.53 fof(f143,plain,(
% 0.18/0.53 (~r3|(![P,Q]: is_a_theorem(implies(or(P,Q),or(Q,P)))))&(r3|(?[P,Q]: ~is_a_theorem(implies(or(P,Q),or(Q,P)))))),
% 0.18/0.53 inference(NNF_transformation,[status(esa)],[f24])).
% 0.18/0.53 fof(f144,plain,(
% 0.18/0.53 (~r3|(![P,Q]: is_a_theorem(implies(or(P,Q),or(Q,P)))))&(r3|~is_a_theorem(implies(or(sk0_47,sk0_48),or(sk0_48,sk0_47))))),
% 0.18/0.53 inference(skolemization,[status(esa)],[f143])).
% 0.18/0.53 fof(f146,plain,(
% 0.18/0.53 r3|~is_a_theorem(implies(or(sk0_47,sk0_48),or(sk0_48,sk0_47)))),
% 0.18/0.53 inference(cnf_transformation,[status(esa)],[f144])).
% 0.18/0.53 fof(f155,plain,(
% 0.18/0.53 ~op_or|(![X,Y]: or(X,Y)=not(and(not(X),not(Y))))),
% 0.18/0.53 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 0.18/0.53 fof(f156,plain,(
% 0.18/0.53 ![X0,X1]: (~op_or|or(X0,X1)=not(and(not(X0),not(X1))))),
% 0.18/0.53 inference(cnf_transformation,[status(esa)],[f155])).
% 0.18/0.53 fof(f157,plain,(
% 0.18/0.53 ~op_and|(![X,Y]: and(X,Y)=not(or(not(X),not(Y))))),
% 0.18/0.53 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.18/0.53 fof(f158,plain,(
% 0.18/0.53 ![X0,X1]: (~op_and|and(X0,X1)=not(or(not(X0),not(X1))))),
% 0.18/0.53 inference(cnf_transformation,[status(esa)],[f157])).
% 0.18/0.53 fof(f159,plain,(
% 0.18/0.53 ~op_implies_and|(![X,Y]: implies(X,Y)=not(and(X,not(Y))))),
% 0.18/0.53 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 0.18/0.53 fof(f160,plain,(
% 0.18/0.53 ![X0,X1]: (~op_implies_and|implies(X0,X1)=not(and(X0,not(X1))))),
% 0.18/0.53 inference(cnf_transformation,[status(esa)],[f159])).
% 0.18/0.53 fof(f161,plain,(
% 0.18/0.53 ~op_implies_or|(![X,Y]: implies(X,Y)=or(not(X),Y))),
% 0.18/0.53 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 0.18/0.53 fof(f162,plain,(
% 0.18/0.53 ![X0,X1]: (~op_implies_or|implies(X0,X1)=or(not(X0),X1))),
% 0.18/0.53 inference(cnf_transformation,[status(esa)],[f161])).
% 0.18/0.53 fof(f165,plain,(
% 0.18/0.53 op_or),
% 0.18/0.53 inference(cnf_transformation,[status(esa)],[f32])).
% 0.18/0.53 fof(f166,plain,(
% 0.18/0.53 op_implies_and),
% 0.18/0.53 inference(cnf_transformation,[status(esa)],[f33])).
% 0.18/0.53 fof(f168,plain,(
% 0.18/0.53 modus_ponens),
% 0.18/0.53 inference(cnf_transformation,[status(esa)],[f35])).
% 0.18/0.53 fof(f169,plain,(
% 0.18/0.53 kn1),
% 0.18/0.53 inference(cnf_transformation,[status(esa)],[f36])).
% 0.18/0.53 fof(f170,plain,(
% 0.18/0.53 kn2),
% 0.18/0.53 inference(cnf_transformation,[status(esa)],[f37])).
% 0.18/0.53 fof(f171,plain,(
% 0.18/0.53 kn3),
% 0.18/0.53 inference(cnf_transformation,[status(esa)],[f38])).
% 0.18/0.53 fof(f173,plain,(
% 0.18/0.53 op_implies_or),
% 0.18/0.53 inference(cnf_transformation,[status(esa)],[f40])).
% 0.18/0.53 fof(f174,plain,(
% 0.18/0.53 op_and),
% 0.18/0.53 inference(cnf_transformation,[status(esa)],[f41])).
% 0.18/0.53 fof(f176,plain,(
% 0.18/0.53 ~r3),
% 0.18/0.53 inference(cnf_transformation,[status(esa)],[f44])).
% 0.18/0.53 fof(f177,plain,(
% 0.18/0.53 spl0_0 <=> modus_ponens),
% 0.18/0.53 introduced(split_symbol_definition)).
% 0.18/0.53 fof(f179,plain,(
% 0.18/0.53 ~modus_ponens|spl0_0),
% 0.18/0.53 inference(component_clause,[status(thm)],[f177])).
% 0.18/0.53 fof(f180,plain,(
% 0.18/0.53 spl0_1 <=> ~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)),
% 0.18/0.53 introduced(split_symbol_definition)).
% 0.18/0.53 fof(f181,plain,(
% 0.18/0.53 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)|~spl0_1)),
% 0.18/0.53 inference(component_clause,[status(thm)],[f180])).
% 0.18/0.53 fof(f183,plain,(
% 0.18/0.53 ~spl0_0|spl0_1),
% 0.18/0.53 inference(split_clause,[status(thm)],[f49,f177,f180])).
% 0.18/0.53 fof(f258,plain,(
% 0.18/0.53 spl0_22 <=> is_a_theorem(implies(and(X0,X1),X0))),
% 0.18/0.53 introduced(split_symbol_definition)).
% 0.18/0.53 fof(f259,plain,(
% 0.18/0.53 ![X0,X1]: (is_a_theorem(implies(and(X0,X1),X0))|~spl0_22)),
% 0.18/0.53 inference(component_clause,[status(thm)],[f258])).
% 0.18/0.53 fof(f354,plain,(
% 0.18/0.53 spl0_48 <=> kn1),
% 0.18/0.53 introduced(split_symbol_definition)).
% 0.18/0.53 fof(f356,plain,(
% 0.18/0.53 ~kn1|spl0_48),
% 0.18/0.53 inference(component_clause,[status(thm)],[f354])).
% 0.18/0.53 fof(f357,plain,(
% 0.18/0.53 spl0_49 <=> is_a_theorem(implies(X0,and(X0,X0)))),
% 0.18/0.53 introduced(split_symbol_definition)).
% 0.18/0.53 fof(f358,plain,(
% 0.18/0.53 ![X0]: (is_a_theorem(implies(X0,and(X0,X0)))|~spl0_49)),
% 0.18/0.53 inference(component_clause,[status(thm)],[f357])).
% 0.18/0.53 fof(f360,plain,(
% 0.18/0.53 ~spl0_48|spl0_49),
% 0.18/0.53 inference(split_clause,[status(thm)],[f113,f354,f357])).
% 0.18/0.53 fof(f365,plain,(
% 0.18/0.53 spl0_51 <=> kn2),
% 0.18/0.53 introduced(split_symbol_definition)).
% 0.18/0.53 fof(f367,plain,(
% 0.18/0.53 ~kn2|spl0_51),
% 0.18/0.53 inference(component_clause,[status(thm)],[f365])).
% 0.18/0.53 fof(f368,plain,(
% 0.18/0.53 ~spl0_51|spl0_22),
% 0.18/0.53 inference(split_clause,[status(thm)],[f117,f365,f258])).
% 0.18/0.53 fof(f373,plain,(
% 0.18/0.53 spl0_53 <=> kn3),
% 0.18/0.53 introduced(split_symbol_definition)).
% 0.18/0.53 fof(f375,plain,(
% 0.18/0.53 ~kn3|spl0_53),
% 0.18/0.53 inference(component_clause,[status(thm)],[f373])).
% 0.18/0.53 fof(f376,plain,(
% 0.18/0.53 spl0_54 <=> is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))),
% 0.18/0.53 introduced(split_symbol_definition)).
% 0.18/0.53 fof(f377,plain,(
% 0.18/0.53 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))|~spl0_54)),
% 0.18/0.53 inference(component_clause,[status(thm)],[f376])).
% 0.18/0.53 fof(f379,plain,(
% 0.18/0.53 ~spl0_53|spl0_54),
% 0.18/0.53 inference(split_clause,[status(thm)],[f121,f373,f376])).
% 0.18/0.53 fof(f433,plain,(
% 0.18/0.53 spl0_69 <=> r3),
% 0.18/0.53 introduced(split_symbol_definition)).
% 0.18/0.53 fof(f434,plain,(
% 0.18/0.53 r3|~spl0_69),
% 0.18/0.53 inference(component_clause,[status(thm)],[f433])).
% 0.18/0.53 fof(f440,plain,(
% 0.18/0.53 spl0_71 <=> is_a_theorem(implies(or(sk0_47,sk0_48),or(sk0_48,sk0_47)))),
% 0.18/0.53 introduced(split_symbol_definition)).
% 0.18/0.53 fof(f442,plain,(
% 0.18/0.53 ~is_a_theorem(implies(or(sk0_47,sk0_48),or(sk0_48,sk0_47)))|spl0_71),
% 0.18/0.53 inference(component_clause,[status(thm)],[f440])).
% 0.18/0.53 fof(f443,plain,(
% 0.18/0.53 spl0_69|~spl0_71),
% 0.18/0.53 inference(split_clause,[status(thm)],[f146,f433,f440])).
% 0.18/0.53 fof(f466,plain,(
% 0.18/0.53 spl0_78 <=> op_or),
% 0.18/0.53 introduced(split_symbol_definition)).
% 0.18/0.53 fof(f468,plain,(
% 0.18/0.53 ~op_or|spl0_78),
% 0.18/0.53 inference(component_clause,[status(thm)],[f466])).
% 0.18/0.53 fof(f469,plain,(
% 0.18/0.53 spl0_79 <=> or(X0,X1)=not(and(not(X0),not(X1)))),
% 0.18/0.53 introduced(split_symbol_definition)).
% 0.18/0.53 fof(f470,plain,(
% 0.18/0.53 ![X0,X1]: (or(X0,X1)=not(and(not(X0),not(X1)))|~spl0_79)),
% 0.18/0.53 inference(component_clause,[status(thm)],[f469])).
% 0.18/0.53 fof(f472,plain,(
% 0.18/0.53 ~spl0_78|spl0_79),
% 0.18/0.53 inference(split_clause,[status(thm)],[f156,f466,f469])).
% 0.18/0.53 fof(f473,plain,(
% 0.18/0.53 spl0_80 <=> op_and),
% 0.18/0.53 introduced(split_symbol_definition)).
% 0.18/0.53 fof(f475,plain,(
% 0.18/0.53 ~op_and|spl0_80),
% 0.18/0.53 inference(component_clause,[status(thm)],[f473])).
% 0.18/0.53 fof(f476,plain,(
% 0.18/0.53 spl0_81 <=> and(X0,X1)=not(or(not(X0),not(X1)))),
% 0.18/0.53 introduced(split_symbol_definition)).
% 0.18/0.53 fof(f477,plain,(
% 0.18/0.53 ![X0,X1]: (and(X0,X1)=not(or(not(X0),not(X1)))|~spl0_81)),
% 0.18/0.53 inference(component_clause,[status(thm)],[f476])).
% 0.18/0.53 fof(f479,plain,(
% 0.18/0.53 ~spl0_80|spl0_81),
% 0.18/0.53 inference(split_clause,[status(thm)],[f158,f473,f476])).
% 0.18/0.53 fof(f480,plain,(
% 0.18/0.53 spl0_82 <=> op_implies_and),
% 0.18/0.53 introduced(split_symbol_definition)).
% 0.18/0.53 fof(f482,plain,(
% 0.18/0.53 ~op_implies_and|spl0_82),
% 0.18/0.53 inference(component_clause,[status(thm)],[f480])).
% 0.18/0.53 fof(f483,plain,(
% 0.18/0.53 spl0_83 <=> implies(X0,X1)=not(and(X0,not(X1)))),
% 0.18/0.53 introduced(split_symbol_definition)).
% 0.18/0.53 fof(f484,plain,(
% 0.18/0.53 ![X0,X1]: (implies(X0,X1)=not(and(X0,not(X1)))|~spl0_83)),
% 0.18/0.53 inference(component_clause,[status(thm)],[f483])).
% 0.18/0.53 fof(f486,plain,(
% 0.18/0.53 ~spl0_82|spl0_83),
% 0.18/0.53 inference(split_clause,[status(thm)],[f160,f480,f483])).
% 0.18/0.53 fof(f487,plain,(
% 0.18/0.53 spl0_84 <=> op_implies_or),
% 0.18/0.53 introduced(split_symbol_definition)).
% 0.18/0.53 fof(f489,plain,(
% 0.18/0.53 ~op_implies_or|spl0_84),
% 0.18/0.53 inference(component_clause,[status(thm)],[f487])).
% 0.18/0.53 fof(f490,plain,(
% 0.18/0.53 spl0_85 <=> implies(X0,X1)=or(not(X0),X1)),
% 0.18/0.53 introduced(split_symbol_definition)).
% 0.18/0.53 fof(f491,plain,(
% 0.18/0.53 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1)|~spl0_85)),
% 0.18/0.53 inference(component_clause,[status(thm)],[f490])).
% 0.18/0.53 fof(f493,plain,(
% 0.18/0.53 ~spl0_84|spl0_85),
% 0.18/0.53 inference(split_clause,[status(thm)],[f162,f487,f490])).
% 0.18/0.53 fof(f503,plain,(
% 0.18/0.53 $false|spl0_84),
% 0.18/0.53 inference(forward_subsumption_resolution,[status(thm)],[f489,f173])).
% 0.18/0.53 fof(f504,plain,(
% 0.18/0.53 spl0_84),
% 0.18/0.53 inference(contradiction_clause,[status(thm)],[f503])).
% 0.18/0.53 fof(f505,plain,(
% 0.18/0.53 $false|spl0_82),
% 0.18/0.53 inference(forward_subsumption_resolution,[status(thm)],[f482,f166])).
% 0.18/0.53 fof(f506,plain,(
% 0.18/0.53 spl0_82),
% 0.18/0.53 inference(contradiction_clause,[status(thm)],[f505])).
% 0.18/0.53 fof(f507,plain,(
% 0.18/0.53 $false|spl0_80),
% 0.18/0.53 inference(forward_subsumption_resolution,[status(thm)],[f475,f174])).
% 0.18/0.53 fof(f508,plain,(
% 0.18/0.53 spl0_80),
% 0.18/0.53 inference(contradiction_clause,[status(thm)],[f507])).
% 0.18/0.53 fof(f509,plain,(
% 0.18/0.53 $false|spl0_78),
% 0.18/0.53 inference(forward_subsumption_resolution,[status(thm)],[f468,f165])).
% 0.18/0.53 fof(f510,plain,(
% 0.18/0.53 spl0_78),
% 0.18/0.53 inference(contradiction_clause,[status(thm)],[f509])).
% 0.18/0.53 fof(f511,plain,(
% 0.18/0.53 $false|spl0_0),
% 0.18/0.53 inference(forward_subsumption_resolution,[status(thm)],[f179,f168])).
% 0.18/0.53 fof(f512,plain,(
% 0.18/0.53 spl0_0),
% 0.18/0.53 inference(contradiction_clause,[status(thm)],[f511])).
% 0.18/0.53 fof(f515,plain,(
% 0.18/0.53 ![X0,X1]: (and(X0,X1)=not(implies(X0,not(X1)))|~spl0_85|~spl0_81)),
% 0.18/0.53 inference(forward_demodulation,[status(thm)],[f491,f477])).
% 0.18/0.53 fof(f564,plain,(
% 0.18/0.53 $false|spl0_53),
% 0.18/0.53 inference(forward_subsumption_resolution,[status(thm)],[f375,f171])).
% 0.18/0.53 fof(f565,plain,(
% 0.18/0.53 spl0_53),
% 0.18/0.53 inference(contradiction_clause,[status(thm)],[f564])).
% 0.18/0.53 fof(f566,plain,(
% 0.18/0.53 $false|spl0_48),
% 0.18/0.53 inference(forward_subsumption_resolution,[status(thm)],[f356,f169])).
% 0.18/0.53 fof(f567,plain,(
% 0.18/0.53 spl0_48),
% 0.18/0.53 inference(contradiction_clause,[status(thm)],[f566])).
% 0.18/0.53 fof(f568,plain,(
% 0.18/0.53 $false|spl0_51),
% 0.18/0.53 inference(forward_subsumption_resolution,[status(thm)],[f367,f170])).
% 0.18/0.53 fof(f569,plain,(
% 0.18/0.53 spl0_51),
% 0.18/0.53 inference(contradiction_clause,[status(thm)],[f568])).
% 0.18/0.53 fof(f575,plain,(
% 0.18/0.53 ![X0,X1,X2]: (implies(implies(X0,not(X1)),X2)=or(and(X0,X1),X2)|~spl0_85|~spl0_81)),
% 0.18/0.53 inference(paramodulation,[status(thm)],[f515,f491])).
% 0.18/0.53 fof(f577,plain,(
% 0.18/0.53 ![X0,X1]: (or(X0,X1)=implies(not(X0),X1)|~spl0_79|~spl0_83)),
% 0.18/0.53 inference(paramodulation,[status(thm)],[f484,f470])).
% 0.18/0.53 fof(f579,plain,(
% 0.18/0.53 ![X0,X1,X2]: (or(and(not(X0),not(X1)),X2)=not(and(or(X0,X1),not(X2)))|~spl0_79)),
% 0.18/0.53 inference(paramodulation,[status(thm)],[f470,f470])).
% 0.18/0.53 fof(f588,plain,(
% 0.18/0.53 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),or(and(X1,X2),not(and(X2,X0)))))|~spl0_79|~spl0_83|~spl0_54)),
% 0.18/0.53 inference(backward_demodulation,[status(thm)],[f577,f377])).
% 0.18/0.53 fof(f599,plain,(
% 0.18/0.53 ![X0,X1]: (and(not(X0),X1)=not(or(X0,not(X1)))|~spl0_85|~spl0_81|~spl0_79|~spl0_83)),
% 0.18/0.53 inference(paramodulation,[status(thm)],[f577,f515])).
% 0.18/0.53 fof(f602,plain,(
% 0.18/0.53 ![X0,X1,X2]: (~is_a_theorem(implies(implies(and(X0,X1),X0),X2))|is_a_theorem(X2)|~spl0_1|~spl0_22)),
% 0.18/0.53 inference(resolution,[status(thm)],[f181,f259])).
% 0.18/0.53 fof(f603,plain,(
% 0.18/0.53 ![X0,X1]: (~is_a_theorem(implies(implies(X0,and(X0,X0)),X1))|is_a_theorem(X1)|~spl0_1|~spl0_49)),
% 0.18/0.53 inference(resolution,[status(thm)],[f181,f358])).
% 0.18/0.53 fof(f634,plain,(
% 0.18/0.53 ![X0,X1]: (and(not(not(X0)),X1)=not(implies(X0,not(X1)))|~spl0_81|~spl0_79|~spl0_83|~spl0_85)),
% 0.18/0.53 inference(paramodulation,[status(thm)],[f491,f599])).
% 0.18/0.53 fof(f741,plain,(
% 0.18/0.53 ![X0,X1,X2]: (~is_a_theorem(or(and(and(not(X0),X1),X0),X2))|is_a_theorem(X2)|~spl0_1|~spl0_22|~spl0_85|~spl0_81)),
% 0.18/0.53 inference(paramodulation,[status(thm)],[f575,f602])).
% 0.18/0.53 fof(f840,plain,(
% 0.18/0.53 ![X0,X1]: (implies(not(not(X0)),X1)=not(not(implies(X0,not(not(X1)))))|~spl0_81|~spl0_79|~spl0_83|~spl0_85)),
% 0.18/0.53 inference(paramodulation,[status(thm)],[f634,f484])).
% 0.18/0.53 fof(f841,plain,(
% 0.18/0.53 ![X0,X1]: (implies(not(not(X0)),X1)=not(and(X0,not(X1)))|~spl0_81|~spl0_79|~spl0_83|~spl0_85)),
% 0.18/0.53 inference(forward_demodulation,[status(thm)],[f515,f840])).
% 0.18/0.53 fof(f971,plain,(
% 0.18/0.53 ![X0,X1]: (implies(not(not(X0)),X1)=implies(X0,X1)|~spl0_81|~spl0_79|~spl0_85|~spl0_83)),
% 0.18/0.53 inference(paramodulation,[status(thm)],[f484,f841])).
% 0.18/0.53 fof(f1254,plain,(
% 0.18/0.53 ![X0,X1]: (is_a_theorem(or(and(and(X0,X0),X1),not(and(X1,X0))))|~spl0_79|~spl0_83|~spl0_54|~spl0_1|~spl0_49)),
% 0.18/0.53 inference(resolution,[status(thm)],[f588,f603])).
% 0.18/0.53 fof(f2302,plain,(
% 0.18/0.53 ![X0]: (is_a_theorem(not(and(X0,not(X0))))|~spl0_79|~spl0_83|~spl0_54|~spl0_49|~spl0_1|~spl0_22|~spl0_85|~spl0_81)),
% 0.18/0.53 inference(resolution,[status(thm)],[f1254,f741])).
% 0.18/0.53 fof(f2303,plain,(
% 0.18/0.54 ![X0]: (is_a_theorem(implies(not(not(X0)),X0))|~spl0_79|~spl0_83|~spl0_54|~spl0_49|~spl0_1|~spl0_22|~spl0_85|~spl0_81)),
% 0.18/0.54 inference(forward_demodulation,[status(thm)],[f841,f2302])).
% 0.18/0.54 fof(f2304,plain,(
% 0.18/0.54 ![X0]: (is_a_theorem(implies(X0,X0))|~spl0_79|~spl0_83|~spl0_54|~spl0_49|~spl0_1|~spl0_22|~spl0_85|~spl0_81)),
% 0.18/0.54 inference(forward_demodulation,[status(thm)],[f971,f2303])).
% 0.18/0.54 fof(f2365,plain,(
% 0.18/0.54 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(X1)|~spl0_79|~spl0_83|~spl0_54|~spl0_49|~spl0_22|~spl0_85|~spl0_81|~spl0_1)),
% 0.18/0.54 inference(resolution,[status(thm)],[f2304,f181])).
% 0.18/0.54 fof(f2685,plain,(
% 0.18/0.54 ![X0,X1]: (is_a_theorem(or(and(X0,X1),not(and(X1,X0))))|~spl0_49|~spl0_22|~spl0_85|~spl0_81|~spl0_1|~spl0_79|~spl0_83|~spl0_54)),
% 0.18/0.54 inference(resolution,[status(thm)],[f2365,f588])).
% 0.18/0.54 fof(f3666,plain,(
% 0.18/0.54 ![X0,X1]: (is_a_theorem(not(and(or(X0,X1),not(not(and(not(X1),not(X0)))))))|~spl0_49|~spl0_22|~spl0_85|~spl0_81|~spl0_1|~spl0_83|~spl0_54|~spl0_79)),
% 0.18/0.54 inference(paramodulation,[status(thm)],[f579,f2685])).
% 0.18/0.54 fof(f3667,plain,(
% 0.18/0.54 ![X0,X1]: (is_a_theorem(implies(not(not(or(X0,X1))),not(and(not(X1),not(X0)))))|~spl0_49|~spl0_22|~spl0_85|~spl0_81|~spl0_1|~spl0_83|~spl0_54|~spl0_79)),
% 0.18/0.54 inference(forward_demodulation,[status(thm)],[f841,f3666])).
% 0.18/0.54 fof(f3668,plain,(
% 0.18/0.54 ![X0,X1]: (is_a_theorem(implies(or(X0,X1),not(and(not(X1),not(X0)))))|~spl0_49|~spl0_22|~spl0_85|~spl0_81|~spl0_1|~spl0_83|~spl0_54|~spl0_79)),
% 0.18/0.54 inference(forward_demodulation,[status(thm)],[f971,f3667])).
% 0.18/0.54 fof(f3669,plain,(
% 0.18/0.54 ![X0,X1]: (is_a_theorem(implies(or(X0,X1),or(X1,X0)))|~spl0_49|~spl0_22|~spl0_85|~spl0_81|~spl0_1|~spl0_83|~spl0_54|~spl0_79)),
% 0.18/0.54 inference(forward_demodulation,[status(thm)],[f470,f3668])).
% 0.18/0.54 fof(f3717,plain,(
% 0.18/0.54 $false|~spl0_49|~spl0_22|~spl0_85|~spl0_81|~spl0_1|~spl0_83|~spl0_54|~spl0_79|spl0_71),
% 0.18/0.54 inference(backward_subsumption_resolution,[status(thm)],[f442,f3669])).
% 0.18/0.54 fof(f3718,plain,(
% 0.18/0.54 ~spl0_49|~spl0_22|~spl0_85|~spl0_81|~spl0_1|~spl0_83|~spl0_54|~spl0_79|spl0_71),
% 0.18/0.54 inference(contradiction_clause,[status(thm)],[f3717])).
% 0.18/0.54 fof(f3721,plain,(
% 0.18/0.54 $false|~spl0_69),
% 0.18/0.54 inference(forward_subsumption_resolution,[status(thm)],[f434,f176])).
% 0.18/0.54 fof(f3722,plain,(
% 0.18/0.54 ~spl0_69),
% 0.18/0.54 inference(contradiction_clause,[status(thm)],[f3721])).
% 0.18/0.54 fof(f3723,plain,(
% 0.18/0.54 $false),
% 0.18/0.54 inference(sat_refutation,[status(thm)],[f183,f360,f368,f379,f443,f472,f479,f486,f493,f504,f506,f508,f510,f512,f565,f567,f569,f3718,f3722])).
% 0.18/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 1.51/0.55 % Elapsed time: 0.213731 seconds
% 1.51/0.55 % CPU time: 1.511648 seconds
% 1.51/0.55 % Total memory used: 91.349 MB
% 1.51/0.55 % Net memory used: 90.506 MB
%------------------------------------------------------------------------------