TSTP Solution File: LCL516+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL516+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 : Tue Apr 30 20:27:21 EDT 2024
% Result : Theorem 1.96s 0.57s
% Output : CNFRefutation 1.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : LCL516+1 : TPTP v8.1.2. Released v3.3.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n006.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Apr 29 20:23:35 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.6.0
% 1.96/0.57 % Refutation found
% 1.96/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.96/0.57 % SZS output start CNFRefutation for theBenchmark
% 1.96/0.57 fof(f1,axiom,(
% 1.96/0.57 ( modus_ponens<=> (! [X,Y] :( ( is_a_theorem(X)& is_a_theorem(implies(X,Y)) )=> is_a_theorem(Y) ) )) ),
% 1.96/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.96/0.57 fof(f16,axiom,(
% 1.96/0.57 ( kn1<=> (! [P] : is_a_theorem(implies(P,and(P,P))) )) ),
% 1.96/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.96/0.57 fof(f17,axiom,(
% 1.96/0.57 ( kn2<=> (! [P,Q] : is_a_theorem(implies(and(P,Q),P)) )) ),
% 1.96/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.96/0.57 fof(f18,axiom,(
% 1.96/0.57 ( kn3<=> (! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P))))) )) ),
% 1.96/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.96/0.57 fof(f20,axiom,(
% 1.96/0.57 ( cn2<=> (! [P,Q] : is_a_theorem(implies(P,implies(not(P),Q))) )) ),
% 1.96/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.96/0.57 fof(f27,axiom,(
% 1.96/0.57 ( op_or=> (! [X,Y] : or(X,Y) = not(and(not(X),not(Y))) )) ),
% 1.96/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.96/0.57 fof(f29,axiom,(
% 1.96/0.57 ( op_implies_and=> (! [X,Y] : implies(X,Y) = not(and(X,not(Y))) )) ),
% 1.96/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.96/0.57 fof(f32,axiom,(
% 1.96/0.57 op_or ),
% 1.96/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.96/0.57 fof(f33,axiom,(
% 1.96/0.57 op_implies_and ),
% 1.96/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.96/0.57 fof(f35,axiom,(
% 1.96/0.57 modus_ponens ),
% 1.96/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.96/0.57 fof(f36,axiom,(
% 1.96/0.57 kn1 ),
% 1.96/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.96/0.57 fof(f37,axiom,(
% 1.96/0.57 kn2 ),
% 1.96/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.96/0.57 fof(f38,axiom,(
% 1.96/0.57 kn3 ),
% 1.96/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.96/0.57 fof(f43,conjecture,(
% 1.96/0.57 cn2 ),
% 1.96/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.96/0.57 fof(f44,negated_conjecture,(
% 1.96/0.57 ~(cn2 )),
% 1.96/0.57 inference(negated_conjecture,[status(cth)],[f43])).
% 1.96/0.57 fof(f45,plain,(
% 1.96/0.57 modus_ponens<=>(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(implies(X,Y)))|is_a_theorem(Y)))),
% 1.96/0.57 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 1.96/0.57 fof(f46,plain,(
% 1.96/0.57 (~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))))),
% 1.96/0.57 inference(NNF_transformation,[status(esa)],[f45])).
% 1.96/0.57 fof(f47,plain,(
% 1.96/0.57 (~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))))),
% 1.96/0.57 inference(miniscoping,[status(esa)],[f46])).
% 1.96/0.57 fof(f48,plain,(
% 1.96/0.57 (~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)))),
% 1.96/0.57 inference(skolemization,[status(esa)],[f47])).
% 1.96/0.57 fof(f49,plain,(
% 1.96/0.57 ![X0,X1]: (~modus_ponens|~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1))),
% 1.96/0.57 inference(cnf_transformation,[status(esa)],[f48])).
% 1.96/0.57 fof(f111,plain,(
% 1.96/0.57 (~kn1|(![P]: is_a_theorem(implies(P,and(P,P)))))&(kn1|(?[P]: ~is_a_theorem(implies(P,and(P,P)))))),
% 1.96/0.57 inference(NNF_transformation,[status(esa)],[f16])).
% 1.96/0.57 fof(f112,plain,(
% 1.96/0.57 (~kn1|(![P]: is_a_theorem(implies(P,and(P,P)))))&(kn1|~is_a_theorem(implies(sk0_32,and(sk0_32,sk0_32))))),
% 1.96/0.57 inference(skolemization,[status(esa)],[f111])).
% 1.96/0.57 fof(f113,plain,(
% 1.96/0.57 ![X0]: (~kn1|is_a_theorem(implies(X0,and(X0,X0))))),
% 1.96/0.57 inference(cnf_transformation,[status(esa)],[f112])).
% 1.96/0.57 fof(f115,plain,(
% 1.96/0.57 (~kn2|(![P,Q]: is_a_theorem(implies(and(P,Q),P))))&(kn2|(?[P,Q]: ~is_a_theorem(implies(and(P,Q),P))))),
% 1.96/0.57 inference(NNF_transformation,[status(esa)],[f17])).
% 1.96/0.57 fof(f116,plain,(
% 1.96/0.57 (~kn2|(![P,Q]: is_a_theorem(implies(and(P,Q),P))))&(kn2|~is_a_theorem(implies(and(sk0_33,sk0_34),sk0_33)))),
% 1.96/0.57 inference(skolemization,[status(esa)],[f115])).
% 1.96/0.57 fof(f117,plain,(
% 1.96/0.57 ![X0,X1]: (~kn2|is_a_theorem(implies(and(X0,X1),X0)))),
% 1.96/0.57 inference(cnf_transformation,[status(esa)],[f116])).
% 1.96/0.57 fof(f119,plain,(
% 1.96/0.57 (~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)))))))),
% 1.96/0.57 inference(NNF_transformation,[status(esa)],[f18])).
% 1.96/0.57 fof(f120,plain,(
% 1.96/0.57 (~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))))))),
% 1.96/0.57 inference(skolemization,[status(esa)],[f119])).
% 1.96/0.57 fof(f121,plain,(
% 1.96/0.57 ![X0,X1,X2]: (~kn3|is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0))))))),
% 1.96/0.57 inference(cnf_transformation,[status(esa)],[f120])).
% 1.96/0.57 fof(f127,plain,(
% 1.96/0.57 (~cn2|(![P,Q]: is_a_theorem(implies(P,implies(not(P),Q)))))&(cn2|(?[P,Q]: ~is_a_theorem(implies(P,implies(not(P),Q)))))),
% 1.96/0.57 inference(NNF_transformation,[status(esa)],[f20])).
% 1.96/0.57 fof(f128,plain,(
% 1.96/0.57 (~cn2|(![P,Q]: is_a_theorem(implies(P,implies(not(P),Q)))))&(cn2|~is_a_theorem(implies(sk0_41,implies(not(sk0_41),sk0_42))))),
% 1.96/0.57 inference(skolemization,[status(esa)],[f127])).
% 1.96/0.57 fof(f130,plain,(
% 1.96/0.57 cn2|~is_a_theorem(implies(sk0_41,implies(not(sk0_41),sk0_42)))),
% 1.96/0.57 inference(cnf_transformation,[status(esa)],[f128])).
% 1.96/0.57 fof(f155,plain,(
% 1.96/0.57 ~op_or|(![X,Y]: or(X,Y)=not(and(not(X),not(Y))))),
% 1.96/0.57 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 1.96/0.57 fof(f156,plain,(
% 1.96/0.57 ![X0,X1]: (~op_or|or(X0,X1)=not(and(not(X0),not(X1))))),
% 1.96/0.57 inference(cnf_transformation,[status(esa)],[f155])).
% 1.96/0.57 fof(f159,plain,(
% 1.96/0.57 ~op_implies_and|(![X,Y]: implies(X,Y)=not(and(X,not(Y))))),
% 1.96/0.57 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 1.96/0.57 fof(f160,plain,(
% 1.96/0.57 ![X0,X1]: (~op_implies_and|implies(X0,X1)=not(and(X0,not(X1))))),
% 1.96/0.57 inference(cnf_transformation,[status(esa)],[f159])).
% 1.96/0.57 fof(f165,plain,(
% 1.96/0.57 op_or),
% 1.96/0.57 inference(cnf_transformation,[status(esa)],[f32])).
% 1.96/0.57 fof(f166,plain,(
% 1.96/0.57 op_implies_and),
% 1.96/0.57 inference(cnf_transformation,[status(esa)],[f33])).
% 1.96/0.57 fof(f168,plain,(
% 1.96/0.57 modus_ponens),
% 1.96/0.57 inference(cnf_transformation,[status(esa)],[f35])).
% 1.96/0.57 fof(f169,plain,(
% 1.96/0.57 kn1),
% 1.96/0.57 inference(cnf_transformation,[status(esa)],[f36])).
% 1.96/0.57 fof(f170,plain,(
% 1.96/0.57 kn2),
% 1.96/0.57 inference(cnf_transformation,[status(esa)],[f37])).
% 1.96/0.57 fof(f171,plain,(
% 1.96/0.57 kn3),
% 1.96/0.57 inference(cnf_transformation,[status(esa)],[f38])).
% 1.96/0.57 fof(f176,plain,(
% 1.96/0.57 ~cn2),
% 1.96/0.57 inference(cnf_transformation,[status(esa)],[f44])).
% 1.96/0.57 fof(f177,plain,(
% 1.96/0.57 spl0_0 <=> modus_ponens),
% 1.96/0.57 introduced(split_symbol_definition)).
% 1.96/0.57 fof(f179,plain,(
% 1.96/0.57 ~modus_ponens|spl0_0),
% 1.96/0.57 inference(component_clause,[status(thm)],[f177])).
% 1.96/0.57 fof(f180,plain,(
% 1.96/0.57 spl0_1 <=> ~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)),
% 1.96/0.57 introduced(split_symbol_definition)).
% 1.96/0.57 fof(f181,plain,(
% 1.96/0.57 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)|~spl0_1)),
% 1.96/0.57 inference(component_clause,[status(thm)],[f180])).
% 1.96/0.57 fof(f183,plain,(
% 1.96/0.57 ~spl0_0|spl0_1),
% 1.96/0.57 inference(split_clause,[status(thm)],[f49,f177,f180])).
% 1.96/0.57 fof(f258,plain,(
% 1.96/0.57 spl0_22 <=> is_a_theorem(implies(and(X0,X1),X0))),
% 1.96/0.57 introduced(split_symbol_definition)).
% 1.96/0.57 fof(f259,plain,(
% 1.96/0.57 ![X0,X1]: (is_a_theorem(implies(and(X0,X1),X0))|~spl0_22)),
% 1.96/0.57 inference(component_clause,[status(thm)],[f258])).
% 1.96/0.57 fof(f354,plain,(
% 1.96/0.57 spl0_48 <=> kn1),
% 1.96/0.57 introduced(split_symbol_definition)).
% 1.96/0.57 fof(f356,plain,(
% 1.96/0.57 ~kn1|spl0_48),
% 1.96/0.57 inference(component_clause,[status(thm)],[f354])).
% 1.96/0.57 fof(f357,plain,(
% 1.96/0.57 spl0_49 <=> is_a_theorem(implies(X0,and(X0,X0)))),
% 1.96/0.57 introduced(split_symbol_definition)).
% 1.96/0.57 fof(f358,plain,(
% 1.96/0.57 ![X0]: (is_a_theorem(implies(X0,and(X0,X0)))|~spl0_49)),
% 1.96/0.57 inference(component_clause,[status(thm)],[f357])).
% 1.96/0.57 fof(f360,plain,(
% 1.96/0.57 ~spl0_48|spl0_49),
% 1.96/0.57 inference(split_clause,[status(thm)],[f113,f354,f357])).
% 1.96/0.57 fof(f365,plain,(
% 1.96/0.57 spl0_51 <=> kn2),
% 1.96/0.57 introduced(split_symbol_definition)).
% 1.96/0.57 fof(f367,plain,(
% 1.96/0.57 ~kn2|spl0_51),
% 1.96/0.57 inference(component_clause,[status(thm)],[f365])).
% 1.96/0.57 fof(f368,plain,(
% 1.96/0.57 ~spl0_51|spl0_22),
% 1.96/0.57 inference(split_clause,[status(thm)],[f117,f365,f258])).
% 1.96/0.57 fof(f373,plain,(
% 1.96/0.57 spl0_53 <=> kn3),
% 1.96/0.57 introduced(split_symbol_definition)).
% 1.96/0.57 fof(f375,plain,(
% 1.96/0.57 ~kn3|spl0_53),
% 1.96/0.57 inference(component_clause,[status(thm)],[f373])).
% 1.96/0.57 fof(f376,plain,(
% 1.96/0.57 spl0_54 <=> is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))),
% 1.96/0.57 introduced(split_symbol_definition)).
% 1.96/0.57 fof(f377,plain,(
% 1.96/0.57 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))|~spl0_54)),
% 1.96/0.57 inference(component_clause,[status(thm)],[f376])).
% 1.96/0.57 fof(f379,plain,(
% 1.96/0.57 ~spl0_53|spl0_54),
% 1.96/0.57 inference(split_clause,[status(thm)],[f121,f373,f376])).
% 1.96/0.57 fof(f392,plain,(
% 1.96/0.57 spl0_58 <=> cn2),
% 1.96/0.57 introduced(split_symbol_definition)).
% 1.96/0.57 fof(f393,plain,(
% 1.96/0.57 cn2|~spl0_58),
% 1.96/0.57 inference(component_clause,[status(thm)],[f392])).
% 1.96/0.57 fof(f395,plain,(
% 1.96/0.57 spl0_59 <=> is_a_theorem(implies(X0,implies(not(X0),X1)))),
% 1.96/0.57 introduced(split_symbol_definition)).
% 1.96/0.57 fof(f396,plain,(
% 1.96/0.57 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1)))|~spl0_59)),
% 1.96/0.57 inference(component_clause,[status(thm)],[f395])).
% 1.96/0.57 fof(f399,plain,(
% 1.96/0.57 spl0_60 <=> is_a_theorem(implies(sk0_41,implies(not(sk0_41),sk0_42)))),
% 1.96/0.57 introduced(split_symbol_definition)).
% 1.96/0.57 fof(f401,plain,(
% 1.96/0.57 ~is_a_theorem(implies(sk0_41,implies(not(sk0_41),sk0_42)))|spl0_60),
% 1.96/0.57 inference(component_clause,[status(thm)],[f399])).
% 1.96/0.57 fof(f402,plain,(
% 1.96/0.57 spl0_58|~spl0_60),
% 1.96/0.57 inference(split_clause,[status(thm)],[f130,f392,f399])).
% 1.96/0.57 fof(f466,plain,(
% 1.96/0.57 spl0_78 <=> op_or),
% 1.96/0.57 introduced(split_symbol_definition)).
% 1.96/0.57 fof(f468,plain,(
% 1.96/0.57 ~op_or|spl0_78),
% 1.96/0.57 inference(component_clause,[status(thm)],[f466])).
% 1.96/0.57 fof(f469,plain,(
% 1.96/0.57 spl0_79 <=> or(X0,X1)=not(and(not(X0),not(X1)))),
% 1.96/0.57 introduced(split_symbol_definition)).
% 1.96/0.57 fof(f470,plain,(
% 1.96/0.57 ![X0,X1]: (or(X0,X1)=not(and(not(X0),not(X1)))|~spl0_79)),
% 1.96/0.57 inference(component_clause,[status(thm)],[f469])).
% 1.96/0.57 fof(f472,plain,(
% 1.96/0.57 ~spl0_78|spl0_79),
% 1.96/0.57 inference(split_clause,[status(thm)],[f156,f466,f469])).
% 1.96/0.57 fof(f480,plain,(
% 1.96/0.57 spl0_82 <=> op_implies_and),
% 1.96/0.57 introduced(split_symbol_definition)).
% 1.96/0.57 fof(f482,plain,(
% 1.96/0.57 ~op_implies_and|spl0_82),
% 1.96/0.57 inference(component_clause,[status(thm)],[f480])).
% 1.96/0.57 fof(f483,plain,(
% 1.96/0.57 spl0_83 <=> implies(X0,X1)=not(and(X0,not(X1)))),
% 1.96/0.57 introduced(split_symbol_definition)).
% 1.96/0.57 fof(f484,plain,(
% 1.96/0.57 ![X0,X1]: (implies(X0,X1)=not(and(X0,not(X1)))|~spl0_83)),
% 1.96/0.57 inference(component_clause,[status(thm)],[f483])).
% 1.96/0.57 fof(f486,plain,(
% 1.96/0.57 ~spl0_82|spl0_83),
% 1.96/0.57 inference(split_clause,[status(thm)],[f160,f480,f483])).
% 1.96/0.57 fof(f503,plain,(
% 1.96/0.57 $false|spl0_0),
% 1.96/0.57 inference(forward_subsumption_resolution,[status(thm)],[f179,f168])).
% 1.96/0.57 fof(f504,plain,(
% 1.96/0.57 spl0_0),
% 1.96/0.57 inference(contradiction_clause,[status(thm)],[f503])).
% 1.96/0.57 fof(f507,plain,(
% 1.96/0.57 $false|spl0_82),
% 1.96/0.57 inference(forward_subsumption_resolution,[status(thm)],[f482,f166])).
% 1.96/0.57 fof(f508,plain,(
% 1.96/0.57 spl0_82),
% 1.96/0.57 inference(contradiction_clause,[status(thm)],[f507])).
% 1.96/0.57 fof(f509,plain,(
% 1.96/0.57 $false|spl0_78),
% 1.96/0.57 inference(forward_subsumption_resolution,[status(thm)],[f468,f165])).
% 1.96/0.57 fof(f510,plain,(
% 1.96/0.57 spl0_78),
% 1.96/0.57 inference(contradiction_clause,[status(thm)],[f509])).
% 1.96/0.57 fof(f517,plain,(
% 1.96/0.57 $false|spl0_51),
% 1.96/0.57 inference(forward_subsumption_resolution,[status(thm)],[f367,f170])).
% 1.96/0.57 fof(f518,plain,(
% 1.96/0.57 spl0_51),
% 1.96/0.57 inference(contradiction_clause,[status(thm)],[f517])).
% 1.96/0.57 fof(f521,plain,(
% 1.96/0.57 $false|spl0_48),
% 1.96/0.57 inference(forward_subsumption_resolution,[status(thm)],[f356,f169])).
% 1.96/0.57 fof(f522,plain,(
% 1.96/0.57 spl0_48),
% 1.96/0.57 inference(contradiction_clause,[status(thm)],[f521])).
% 1.96/0.57 fof(f533,plain,(
% 1.96/0.57 $false|~spl0_59|spl0_60),
% 1.96/0.57 inference(forward_subsumption_resolution,[status(thm)],[f401,f396])).
% 1.96/0.57 fof(f534,plain,(
% 1.96/0.57 ~spl0_59|spl0_60),
% 1.96/0.57 inference(contradiction_clause,[status(thm)],[f533])).
% 1.96/0.57 fof(f544,plain,(
% 1.96/0.57 ![X0,X1,X2]: (implies(X0,and(X1,not(X2)))=not(and(X0,implies(X1,X2)))|~spl0_83)),
% 1.96/0.57 inference(paramodulation,[status(thm)],[f484,f484])).
% 1.96/0.57 fof(f568,plain,(
% 1.96/0.57 ![X0,X1]: (or(X0,X1)=implies(not(X0),X1)|~spl0_83|~spl0_79)),
% 1.96/0.57 inference(forward_demodulation,[status(thm)],[f484,f470])).
% 1.96/0.57 fof(f570,plain,(
% 1.96/0.57 ![X0,X1,X2]: (or(and(X0,not(X1)),X2)=implies(implies(X0,X1),X2)|~spl0_79|~spl0_83)),
% 1.96/0.57 inference(paramodulation,[status(thm)],[f484,f568])).
% 1.96/0.57 fof(f571,plain,(
% 1.96/0.57 ![X0]: (is_a_theorem(or(X0,and(not(X0),not(X0))))|~spl0_49|~spl0_83|~spl0_79)),
% 1.96/0.57 inference(paramodulation,[status(thm)],[f568,f358])).
% 1.96/0.57 fof(f577,plain,(
% 1.96/0.57 ![X0,X1]: (~is_a_theorem(not(X0))|~is_a_theorem(or(X0,X1))|is_a_theorem(X1)|~spl0_1|~spl0_83|~spl0_79)),
% 1.96/0.57 inference(paramodulation,[status(thm)],[f568,f181])).
% 1.96/0.57 fof(f640,plain,(
% 1.96/0.57 ![X0,X1,X2]: (implies(X0,and(not(X1),not(X2)))=not(and(X0,or(X1,X2)))|~spl0_83|~spl0_79)),
% 1.96/0.57 inference(paramodulation,[status(thm)],[f568,f544])).
% 1.96/0.57 fof(f726,plain,(
% 1.96/0.57 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),or(and(X1,X2),not(and(X2,X0)))))|~spl0_83|~spl0_79|~spl0_54)),
% 1.96/0.57 inference(forward_demodulation,[status(thm)],[f568,f377])).
% 1.96/0.57 fof(f727,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(resolution,[status(thm)],[f726,f181])).
% 1.96/0.57 fof(f728,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(paramodulation,[status(thm)],[f568,f726])).
% 1.96/0.57 fof(f729,plain,(
% 1.96/0.57 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),or(and(X1,X2),implies(X2,X0))))|~spl0_54|~spl0_83|~spl0_79)),
% 1.96/0.57 inference(forward_demodulation,[status(thm)],[f484,f728])).
% 1.96/0.57 fof(f730,plain,(
% 1.96/0.57 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),not(and(not(X2),X0)))))|~spl0_54|~spl0_79|~spl0_83)),
% 1.96/0.57 inference(paramodulation,[status(thm)],[f570,f726])).
% 1.96/0.57 fof(f819,plain,(
% 1.96/0.57 $false|spl0_53),
% 1.96/0.57 inference(forward_subsumption_resolution,[status(thm)],[f375,f171])).
% 1.96/0.57 fof(f820,plain,(
% 1.96/0.57 spl0_53),
% 1.96/0.57 inference(contradiction_clause,[status(thm)],[f819])).
% 1.96/0.57 fof(f831,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(resolution,[status(thm)],[f729,f181])).
% 1.96/0.57 fof(f833,plain,(
% 1.96/0.57 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),implies(implies(X1,X2),implies(not(X2),X0))))|~spl0_54|~spl0_79|~spl0_83)),
% 1.96/0.57 inference(paramodulation,[status(thm)],[f570,f729])).
% 1.96/0.57 fof(f834,plain,(
% 1.96/0.57 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),implies(implies(X1,X2),or(X2,X0))))|~spl0_54|~spl0_79|~spl0_83)),
% 1.96/0.57 inference(forward_demodulation,[status(thm)],[f568,f833])).
% 1.96/0.57 fof(f845,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(resolution,[status(thm)],[f834,f181])).
% 1.96/0.57 fof(f852,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(resolution,[status(thm)],[f845,f571])).
% 1.96/0.57 fof(f872,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(resolution,[status(thm)],[f852,f181])).
% 1.96/0.57 fof(f884,plain,(
% 1.96/0.57 ![X0]: (is_a_theorem(or(not(X0),X0))|~spl0_54|~spl0_49|~spl0_83|~spl0_79|~spl0_1|~spl0_22)),
% 1.96/0.57 inference(resolution,[status(thm)],[f872,f259])).
% 1.96/0.57 fof(f894,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(resolution,[status(thm)],[f884,f845])).
% 1.96/0.57 fof(f898,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(resolution,[status(thm)],[f894,f181])).
% 1.96/0.57 fof(f902,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(paramodulation,[status(thm)],[f568,f894])).
% 1.96/0.57 fof(f926,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(resolution,[status(thm)],[f898,f845])).
% 1.96/0.57 fof(f927,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(forward_demodulation,[status(thm)],[f568,f926])).
% 1.96/0.57 fof(f932,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(resolution,[status(thm)],[f902,f181])).
% 1.96/0.57 fof(f960,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(resolution,[status(thm)],[f927,f181])).
% 1.96/0.57 fof(f1006,plain,(
% 1.96/0.57 ![X0]: (is_a_theorem(not(and(not(X0),or(X0,X0))))|~spl0_49|~spl0_83|~spl0_79)),
% 1.96/0.57 inference(paramodulation,[status(thm)],[f640,f358])).
% 1.96/0.57 fof(f1052,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(resolution,[status(thm)],[f1006,f577])).
% 1.96/0.57 fof(f1150,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(resolution,[status(thm)],[f727,f1052])).
% 1.96/0.57 fof(f1169,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(paramodulation,[status(thm)],[f484,f1150])).
% 1.96/0.57 fof(f1170,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(forward_demodulation,[status(thm)],[f568,f1169])).
% 1.96/0.57 fof(f1176,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(resolution,[status(thm)],[f1170,f932])).
% 1.96/0.57 fof(f1208,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(resolution,[status(thm)],[f1176,f884])).
% 1.96/0.57 fof(f1221,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(resolution,[status(thm)],[f1208,f181])).
% 1.96/0.57 fof(f1235,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(resolution,[status(thm)],[f1221,f932])).
% 1.96/0.57 fof(f1280,plain,(
% 1.96/0.57 ![X0]: (is_a_theorem(X0)|~is_a_theorem(or(X0,X0))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 1.96/0.57 inference(resolution,[status(thm)],[f1235,f932])).
% 1.96/0.57 fof(f1291,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(resolution,[status(thm)],[f1280,f960])).
% 1.96/0.57 fof(f1618,plain,(
% 1.96/0.57 ![X0,X1]: (is_a_theorem(or(X0,not(and(X0,X1))))|~spl0_49|~spl0_54|~spl0_79|~spl0_83|~spl0_1|~spl0_22)),
% 1.96/0.57 inference(resolution,[status(thm)],[f898,f259])).
% 1.96/0.57 fof(f1631,plain,(
% 1.96/0.57 ![X0,X1]: (is_a_theorem(or(X0,implies(X0,X1)))|~spl0_49|~spl0_54|~spl0_79|~spl0_1|~spl0_22|~spl0_83)),
% 1.96/0.57 inference(paramodulation,[status(thm)],[f484,f1618])).
% 1.96/0.57 fof(f1636,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(resolution,[status(thm)],[f1631,f831])).
% 1.96/0.57 fof(f1708,plain,(
% 1.96/0.57 ![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)),
% 1.96/0.57 inference(resolution,[status(thm)],[f1291,f259])).
% 1.96/0.57 fof(f1751,plain,(
% 1.96/0.57 ![X0]: (is_a_theorem(implies(X0,X0))|~spl0_49|~spl0_54|~spl0_79|~spl0_83|~spl0_1|~spl0_22)),
% 1.96/0.57 inference(resolution,[status(thm)],[f1636,f1708])).
% 1.96/0.57 fof(f1753,plain,(
% 1.96/0.57 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X2),X0)))|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_79|~spl0_83)),
% 1.96/0.57 inference(paramodulation,[status(thm)],[f570,f1636])).
% 1.96/0.57 fof(f1754,plain,(
% 1.96/0.57 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X1),X2),or(X2,X0)))|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_79|~spl0_83)),
% 1.96/0.57 inference(forward_demodulation,[status(thm)],[f568,f1753])).
% 1.96/0.57 fof(f1932,plain,(
% 1.96/0.57 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(or(X2,X0))|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 1.96/0.57 inference(resolution,[status(thm)],[f1754,f181])).
% 1.96/0.57 fof(f1978,plain,(
% 1.96/0.57 ![X0,X1]: (is_a_theorem(or(implies(X0,X1),X0))|~spl0_49|~spl0_54|~spl0_79|~spl0_83|~spl0_1|~spl0_22)),
% 1.96/0.57 inference(resolution,[status(thm)],[f1932,f1751])).
% 1.96/0.57 fof(f1992,plain,(
% 1.96/0.57 ![X0,X1,X2]: (is_a_theorem(or(and(X0,X1),implies(X1,implies(X0,X2))))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 1.96/0.57 inference(resolution,[status(thm)],[f1978,f831])).
% 1.96/0.58 fof(f2181,plain,(
% 1.96/0.58 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(not(X1),implies(X0,X2))))|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_79|~spl0_83)),
% 1.96/0.58 inference(paramodulation,[status(thm)],[f570,f1992])).
% 1.96/0.58 fof(f2182,plain,(
% 1.96/0.58 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),or(X1,implies(X0,X2))))|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_79|~spl0_83)),
% 1.96/0.58 inference(forward_demodulation,[status(thm)],[f568,f2181])).
% 1.96/0.58 fof(f2610,plain,(
% 1.96/0.58 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(or(X1,implies(X0,X2)))|~spl0_49|~spl0_22|~spl0_54|~spl0_79|~spl0_83|~spl0_1)),
% 1.96/0.58 inference(resolution,[status(thm)],[f2182,f181])).
% 1.96/0.58 fof(f2871,plain,(
% 1.96/0.58 ![X0,X1]: (~is_a_theorem(implies(X0,implies(X0,X1)))|is_a_theorem(implies(X0,X1))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 1.96/0.58 inference(resolution,[status(thm)],[f2610,f1280])).
% 1.96/0.58 fof(f3518,plain,(
% 1.96/0.58 ![X0]: (is_a_theorem(implies(implies(X0,X0),not(and(not(X0),X0))))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 1.96/0.58 inference(resolution,[status(thm)],[f730,f2871])).
% 1.96/0.58 fof(f4088,plain,(
% 1.96/0.58 ![X0]: (~is_a_theorem(implies(X0,X0))|is_a_theorem(not(and(not(X0),X0)))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 1.96/0.58 inference(resolution,[status(thm)],[f3518,f181])).
% 1.96/0.58 fof(f4089,plain,(
% 1.96/0.58 ![X0]: (is_a_theorem(not(and(not(X0),X0)))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 1.96/0.58 inference(forward_subsumption_resolution,[status(thm)],[f4088,f1751])).
% 1.96/0.58 fof(f4108,plain,(
% 1.96/0.58 ![X0,X1]: (~is_a_theorem(or(and(not(X0),X0),X1))|is_a_theorem(X1)|~spl0_49|~spl0_22|~spl0_54|~spl0_1|~spl0_83|~spl0_79)),
% 1.96/0.58 inference(resolution,[status(thm)],[f4089,f577])).
% 1.96/0.58 fof(f4137,plain,(
% 1.96/0.58 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1)))|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1)),
% 1.96/0.58 inference(resolution,[status(thm)],[f4108,f1992])).
% 1.96/0.58 fof(f4138,plain,(
% 1.96/0.58 spl0_59|~spl0_49|~spl0_22|~spl0_54|~spl0_83|~spl0_79|~spl0_1),
% 1.96/0.58 inference(split_clause,[status(thm)],[f4137,f395,f357,f258,f376,f483,f469,f180])).
% 1.96/0.58 fof(f4168,plain,(
% 1.96/0.58 $false|~spl0_58),
% 1.96/0.58 inference(forward_subsumption_resolution,[status(thm)],[f393,f176])).
% 1.96/0.58 fof(f4169,plain,(
% 1.96/0.58 ~spl0_58),
% 1.96/0.58 inference(contradiction_clause,[status(thm)],[f4168])).
% 1.96/0.58 fof(f4170,plain,(
% 1.96/0.58 $false),
% 1.96/0.58 inference(sat_refutation,[status(thm)],[f183,f360,f368,f379,f402,f472,f486,f504,f508,f510,f518,f522,f534,f820,f4138,f4169])).
% 1.96/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 1.96/0.59 % Elapsed time: 0.290396 seconds
% 1.96/0.59 % CPU time: 2.165943 seconds
% 1.96/0.59 % Total memory used: 122.201 MB
% 1.96/0.59 % Net memory used: 119.745 MB
%------------------------------------------------------------------------------