TSTP Solution File: LCL463+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL463+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:27:16 EDT 2024
% Result : Theorem 18.92s 2.79s
% Output : CNFRefutation 19.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL463+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35 % Computer : n008.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Mon Apr 29 20:33:12 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 18.92/2.79 % Refutation found
% 18.92/2.79 % SZS status Theorem for theBenchmark: Theorem is valid
% 18.92/2.79 % SZS output start CNFRefutation for theBenchmark
% 18.92/2.79 fof(f1,axiom,(
% 18.92/2.79 ( modus_ponens<=> (! [X,Y] :( ( is_a_theorem(X)& is_a_theorem(implies(X,Y)) )=> is_a_theorem(Y) ) )) ),
% 18.92/2.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.92/2.79 fof(f4,axiom,(
% 18.92/2.79 ( implies_1<=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,X))) )) ),
% 18.92/2.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.92/2.79 fof(f19,axiom,(
% 18.92/2.79 ( cn1<=> (! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R)))) )) ),
% 18.92/2.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.92/2.79 fof(f20,axiom,(
% 18.92/2.79 ( cn2<=> (! [P,Q] : is_a_theorem(implies(P,implies(not(P),Q))) )) ),
% 18.92/2.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.92/2.79 fof(f21,axiom,(
% 18.92/2.79 ( cn3<=> (! [P] : is_a_theorem(implies(implies(not(P),P),P)) )) ),
% 18.92/2.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.92/2.79 fof(f35,axiom,(
% 18.92/2.79 modus_ponens ),
% 18.92/2.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.92/2.79 fof(f36,axiom,(
% 18.92/2.79 cn1 ),
% 18.92/2.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.92/2.79 fof(f37,axiom,(
% 18.92/2.79 cn2 ),
% 18.92/2.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.92/2.79 fof(f38,axiom,(
% 18.92/2.79 cn3 ),
% 18.92/2.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.92/2.79 fof(f43,conjecture,(
% 18.92/2.79 implies_1 ),
% 18.92/2.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.92/2.79 fof(f44,negated_conjecture,(
% 18.92/2.79 ~(implies_1 )),
% 18.92/2.79 inference(negated_conjecture,[status(cth)],[f43])).
% 18.92/2.79 fof(f45,plain,(
% 18.92/2.79 modus_ponens<=>(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(implies(X,Y)))|is_a_theorem(Y)))),
% 18.92/2.79 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 18.92/2.79 fof(f46,plain,(
% 18.92/2.79 (~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))))),
% 18.92/2.79 inference(NNF_transformation,[status(esa)],[f45])).
% 18.92/2.79 fof(f47,plain,(
% 18.92/2.79 (~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))))),
% 18.92/2.79 inference(miniscoping,[status(esa)],[f46])).
% 18.92/2.79 fof(f48,plain,(
% 18.92/2.79 (~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)))),
% 18.92/2.79 inference(skolemization,[status(esa)],[f47])).
% 18.92/2.79 fof(f49,plain,(
% 18.92/2.79 ![X0,X1]: (~modus_ponens|~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1))),
% 18.92/2.79 inference(cnf_transformation,[status(esa)],[f48])).
% 18.92/2.79 fof(f63,plain,(
% 18.92/2.79 (~implies_1|(![X,Y]: is_a_theorem(implies(X,implies(Y,X)))))&(implies_1|(?[X,Y]: ~is_a_theorem(implies(X,implies(Y,X)))))),
% 18.92/2.79 inference(NNF_transformation,[status(esa)],[f4])).
% 18.92/2.79 fof(f64,plain,(
% 18.92/2.79 (~implies_1|(![X,Y]: is_a_theorem(implies(X,implies(Y,X)))))&(implies_1|~is_a_theorem(implies(sk0_6,implies(sk0_7,sk0_6))))),
% 18.92/2.79 inference(skolemization,[status(esa)],[f63])).
% 18.92/2.79 fof(f66,plain,(
% 18.92/2.79 implies_1|~is_a_theorem(implies(sk0_6,implies(sk0_7,sk0_6)))),
% 18.92/2.79 inference(cnf_transformation,[status(esa)],[f64])).
% 18.92/2.79 fof(f123,plain,(
% 18.92/2.79 (~cn1|(![P,Q,R]: is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R))))))&(cn1|(?[P,Q,R]: ~is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R))))))),
% 18.92/2.79 inference(NNF_transformation,[status(esa)],[f19])).
% 18.92/2.79 fof(f124,plain,(
% 18.92/2.79 (~cn1|(![P,Q,R]: is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R))))))&(cn1|~is_a_theorem(implies(implies(sk0_38,sk0_39),implies(implies(sk0_39,sk0_40),implies(sk0_38,sk0_40)))))),
% 18.92/2.79 inference(skolemization,[status(esa)],[f123])).
% 18.92/2.79 fof(f125,plain,(
% 18.92/2.79 ![X0,X1,X2]: (~cn1|is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 18.92/2.79 inference(cnf_transformation,[status(esa)],[f124])).
% 18.92/2.79 fof(f127,plain,(
% 18.92/2.79 (~cn2|(![P,Q]: is_a_theorem(implies(P,implies(not(P),Q)))))&(cn2|(?[P,Q]: ~is_a_theorem(implies(P,implies(not(P),Q)))))),
% 18.92/2.79 inference(NNF_transformation,[status(esa)],[f20])).
% 18.92/2.79 fof(f128,plain,(
% 18.92/2.79 (~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))))),
% 18.92/2.79 inference(skolemization,[status(esa)],[f127])).
% 18.92/2.79 fof(f129,plain,(
% 18.92/2.79 ![X0,X1]: (~cn2|is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 18.92/2.79 inference(cnf_transformation,[status(esa)],[f128])).
% 18.92/2.79 fof(f131,plain,(
% 18.92/2.79 (~cn3|(![P]: is_a_theorem(implies(implies(not(P),P),P))))&(cn3|(?[P]: ~is_a_theorem(implies(implies(not(P),P),P))))),
% 18.92/2.79 inference(NNF_transformation,[status(esa)],[f21])).
% 18.92/2.79 fof(f132,plain,(
% 18.92/2.79 (~cn3|(![P]: is_a_theorem(implies(implies(not(P),P),P))))&(cn3|~is_a_theorem(implies(implies(not(sk0_43),sk0_43),sk0_43)))),
% 18.92/2.79 inference(skolemization,[status(esa)],[f131])).
% 18.92/2.79 fof(f133,plain,(
% 18.92/2.79 ![X0]: (~cn3|is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 18.92/2.79 inference(cnf_transformation,[status(esa)],[f132])).
% 18.92/2.79 fof(f168,plain,(
% 18.92/2.79 modus_ponens),
% 18.92/2.79 inference(cnf_transformation,[status(esa)],[f35])).
% 18.92/2.79 fof(f169,plain,(
% 18.92/2.79 cn1),
% 18.92/2.79 inference(cnf_transformation,[status(esa)],[f36])).
% 18.92/2.79 fof(f170,plain,(
% 18.92/2.79 cn2),
% 18.92/2.79 inference(cnf_transformation,[status(esa)],[f37])).
% 18.92/2.79 fof(f171,plain,(
% 18.92/2.79 cn3),
% 18.92/2.79 inference(cnf_transformation,[status(esa)],[f38])).
% 18.92/2.79 fof(f176,plain,(
% 18.92/2.79 ~implies_1),
% 18.92/2.79 inference(cnf_transformation,[status(esa)],[f44])).
% 18.92/2.79 fof(f177,plain,(
% 18.92/2.79 spl0_0 <=> modus_ponens),
% 18.92/2.79 introduced(split_symbol_definition)).
% 18.92/2.79 fof(f179,plain,(
% 18.92/2.79 ~modus_ponens|spl0_0),
% 18.92/2.79 inference(component_clause,[status(thm)],[f177])).
% 18.92/2.79 fof(f180,plain,(
% 18.92/2.79 spl0_1 <=> ~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)),
% 18.92/2.79 introduced(split_symbol_definition)).
% 18.92/2.79 fof(f181,plain,(
% 18.92/2.79 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)|~spl0_1)),
% 18.92/2.79 inference(component_clause,[status(thm)],[f180])).
% 18.92/2.79 fof(f183,plain,(
% 18.92/2.79 ~spl0_0|spl0_1),
% 18.92/2.79 inference(split_clause,[status(thm)],[f49,f177,f180])).
% 18.92/2.79 fof(f222,plain,(
% 18.92/2.79 spl0_12 <=> implies_1),
% 18.92/2.79 introduced(split_symbol_definition)).
% 18.92/2.79 fof(f223,plain,(
% 18.92/2.79 implies_1|~spl0_12),
% 18.92/2.79 inference(component_clause,[status(thm)],[f222])).
% 18.92/2.79 fof(f225,plain,(
% 18.92/2.79 spl0_13 <=> is_a_theorem(implies(X0,implies(X1,X0)))),
% 18.92/2.79 introduced(split_symbol_definition)).
% 18.92/2.79 fof(f226,plain,(
% 18.92/2.79 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0)))|~spl0_13)),
% 18.92/2.79 inference(component_clause,[status(thm)],[f225])).
% 18.92/2.79 fof(f229,plain,(
% 18.92/2.79 spl0_14 <=> is_a_theorem(implies(sk0_6,implies(sk0_7,sk0_6)))),
% 18.92/2.79 introduced(split_symbol_definition)).
% 18.92/2.79 fof(f231,plain,(
% 18.92/2.79 ~is_a_theorem(implies(sk0_6,implies(sk0_7,sk0_6)))|spl0_14),
% 18.92/2.79 inference(component_clause,[status(thm)],[f229])).
% 18.92/2.79 fof(f232,plain,(
% 18.92/2.79 spl0_12|~spl0_14),
% 18.92/2.79 inference(split_clause,[status(thm)],[f66,f222,f229])).
% 18.92/2.79 fof(f247,plain,(
% 18.92/2.79 spl0_19 <=> is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))),
% 18.92/2.79 introduced(split_symbol_definition)).
% 18.92/2.79 fof(f248,plain,(
% 18.92/2.79 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))|~spl0_19)),
% 18.92/2.79 inference(component_clause,[status(thm)],[f247])).
% 18.92/2.79 fof(f384,plain,(
% 18.92/2.79 spl0_56 <=> cn1),
% 18.92/2.79 introduced(split_symbol_definition)).
% 18.92/2.79 fof(f386,plain,(
% 18.92/2.79 ~cn1|spl0_56),
% 18.92/2.79 inference(component_clause,[status(thm)],[f384])).
% 18.92/2.79 fof(f387,plain,(
% 18.92/2.79 ~spl0_56|spl0_19),
% 18.92/2.79 inference(split_clause,[status(thm)],[f125,f384,f247])).
% 18.92/2.79 fof(f392,plain,(
% 18.92/2.79 spl0_58 <=> cn2),
% 18.92/2.79 introduced(split_symbol_definition)).
% 18.92/2.79 fof(f394,plain,(
% 18.92/2.79 ~cn2|spl0_58),
% 18.92/2.79 inference(component_clause,[status(thm)],[f392])).
% 18.92/2.79 fof(f395,plain,(
% 18.92/2.79 spl0_59 <=> is_a_theorem(implies(X0,implies(not(X0),X1)))),
% 18.92/2.79 introduced(split_symbol_definition)).
% 18.92/2.79 fof(f396,plain,(
% 18.92/2.79 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1)))|~spl0_59)),
% 18.92/2.79 inference(component_clause,[status(thm)],[f395])).
% 18.92/2.79 fof(f398,plain,(
% 18.92/2.79 ~spl0_58|spl0_59),
% 18.92/2.79 inference(split_clause,[status(thm)],[f129,f392,f395])).
% 18.92/2.79 fof(f403,plain,(
% 18.92/2.79 spl0_61 <=> cn3),
% 18.92/2.79 introduced(split_symbol_definition)).
% 18.92/2.79 fof(f405,plain,(
% 18.92/2.79 ~cn3|spl0_61),
% 18.92/2.79 inference(component_clause,[status(thm)],[f403])).
% 18.92/2.79 fof(f406,plain,(
% 18.92/2.79 spl0_62 <=> is_a_theorem(implies(implies(not(X0),X0),X0))),
% 18.92/2.79 introduced(split_symbol_definition)).
% 18.92/2.79 fof(f407,plain,(
% 18.92/2.79 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0))|~spl0_62)),
% 18.92/2.79 inference(component_clause,[status(thm)],[f406])).
% 18.92/2.79 fof(f409,plain,(
% 18.92/2.79 ~spl0_61|spl0_62),
% 18.92/2.79 inference(split_clause,[status(thm)],[f133,f403,f406])).
% 18.92/2.79 fof(f503,plain,(
% 18.92/2.79 $false|spl0_0),
% 18.92/2.79 inference(forward_subsumption_resolution,[status(thm)],[f179,f168])).
% 18.92/2.79 fof(f504,plain,(
% 18.92/2.79 spl0_0),
% 18.92/2.79 inference(contradiction_clause,[status(thm)],[f503])).
% 18.92/2.79 fof(f523,plain,(
% 18.92/2.79 spl0_88 <=> ~is_a_theorem(X0)),
% 18.92/2.79 introduced(split_symbol_definition)).
% 18.92/2.79 fof(f524,plain,(
% 18.92/2.79 ![X0]: (~is_a_theorem(X0)|~spl0_88)),
% 18.92/2.79 inference(component_clause,[status(thm)],[f523])).
% 18.92/2.79 fof(f532,plain,(
% 18.92/2.79 spl0_89 <=> is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))),
% 18.92/2.79 introduced(split_symbol_definition)).
% 18.92/2.79 fof(f533,plain,(
% 18.92/2.79 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))|~spl0_89)),
% 18.92/2.79 inference(component_clause,[status(thm)],[f532])).
% 18.92/2.79 fof(f538,plain,(
% 18.92/2.79 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,implies(X2,X1)))|~spl0_89|~spl0_1)),
% 18.92/2.79 inference(resolution,[status(thm)],[f533,f181])).
% 18.92/2.79 fof(f539,plain,(
% 18.92/2.79 spl0_88|spl0_13|~spl0_89|~spl0_1),
% 18.92/2.79 inference(split_clause,[status(thm)],[f538,f523,f225,f532,f180])).
% 18.92/2.79 fof(f540,plain,(
% 18.92/2.79 $false|~spl0_88|~spl0_62),
% 18.92/2.79 inference(backward_subsumption_resolution,[status(thm)],[f407,f524])).
% 18.92/2.79 fof(f541,plain,(
% 18.92/2.79 ~spl0_88|~spl0_62),
% 18.92/2.79 inference(contradiction_clause,[status(thm)],[f540])).
% 18.92/2.79 fof(f542,plain,(
% 18.92/2.79 $false|spl0_61),
% 18.92/2.79 inference(forward_subsumption_resolution,[status(thm)],[f405,f171])).
% 18.92/2.79 fof(f543,plain,(
% 18.92/2.79 spl0_61),
% 18.92/2.79 inference(contradiction_clause,[status(thm)],[f542])).
% 18.92/2.79 fof(f548,plain,(
% 18.92/2.79 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))|~spl0_19|~spl0_1)),
% 18.92/2.79 inference(resolution,[status(thm)],[f248,f181])).
% 18.92/2.79 fof(f551,plain,(
% 18.92/2.79 $false|spl0_56),
% 18.92/2.79 inference(forward_subsumption_resolution,[status(thm)],[f386,f169])).
% 18.92/2.79 fof(f552,plain,(
% 18.92/2.79 spl0_56),
% 18.92/2.79 inference(contradiction_clause,[status(thm)],[f551])).
% 18.92/2.79 fof(f556,plain,(
% 18.92/2.79 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1)))|~spl0_19|~spl0_1|~spl0_62)),
% 18.92/2.79 inference(resolution,[status(thm)],[f548,f407])).
% 18.92/2.79 fof(f558,plain,(
% 18.92/2.79 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3)))|~spl0_1|~spl0_19)),
% 18.92/2.79 inference(resolution,[status(thm)],[f548,f248])).
% 18.92/2.79 fof(f560,plain,(
% 18.92/2.79 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2)))|~spl0_62|~spl0_19|~spl0_1)),
% 18.92/2.79 inference(resolution,[status(thm)],[f556,f548])).
% 18.92/2.79 fof(f761,plain,(
% 18.92/2.79 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3))|~spl0_19|~spl0_1)),
% 18.92/2.79 inference(resolution,[status(thm)],[f558,f181])).
% 18.92/2.79 fof(f801,plain,(
% 18.92/2.79 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2))))|~spl0_62|~spl0_19|~spl0_1)),
% 18.92/2.79 inference(resolution,[status(thm)],[f761,f560])).
% 18.92/2.79 fof(f802,plain,(
% 18.92/2.79 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2)))))|~spl0_1|~spl0_19)),
% 18.92/2.79 inference(resolution,[status(thm)],[f761,f558])).
% 18.92/2.79 fof(f817,plain,(
% 18.92/2.79 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3))))|~spl0_1|~spl0_19)),
% 18.92/2.79 inference(resolution,[status(thm)],[f761,f248])).
% 18.92/2.79 fof(f939,plain,(
% 18.92/2.79 ![X0,X1,X2]: (is_a_theorem(implies(implies(not(X0),X1),implies(implies(X0,X2),implies(implies(X1,X0),X2))))|~spl0_62|~spl0_19|~spl0_1)),
% 18.92/2.79 inference(resolution,[status(thm)],[f801,f761])).
% 18.92/2.79 fof(f961,plain,(
% 18.92/2.79 ![X0,X1,X2]: (~is_a_theorem(implies(not(X0),X1))|is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X0),X2)))|~spl0_62|~spl0_19|~spl0_1)),
% 18.92/2.79 inference(resolution,[status(thm)],[f939,f181])).
% 18.92/2.79 fof(f1008,plain,(
% 18.92/2.79 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2))))|~spl0_19|~spl0_1)),
% 18.92/2.79 inference(resolution,[status(thm)],[f802,f181])).
% 18.92/2.79 fof(f1044,plain,(
% 18.92/2.79 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))|~spl0_19|~spl0_1)),
% 18.92/2.79 inference(resolution,[status(thm)],[f817,f181])).
% 18.92/2.80 fof(f1674,plain,(
% 18.92/2.80 $false|spl0_58),
% 18.92/2.80 inference(forward_subsumption_resolution,[status(thm)],[f394,f170])).
% 18.92/2.80 fof(f1675,plain,(
% 18.92/2.80 spl0_58),
% 18.92/2.80 inference(contradiction_clause,[status(thm)],[f1674])).
% 18.92/2.80 fof(f1685,plain,(
% 18.92/2.80 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2)))|~spl0_59|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f396,f548])).
% 18.92/2.80 fof(f1747,plain,(
% 18.92/2.80 ![X0,X1,X2]: (~is_a_theorem(implies(implies(not(X0),X1),X2))|is_a_theorem(implies(X0,X2))|~spl0_59|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f1685,f181])).
% 18.92/2.80 fof(f1755,plain,(
% 18.92/2.80 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X0,X1),implies(implies(X2,X0),X1))))|~spl0_59|~spl0_62|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f1747,f939])).
% 18.92/2.80 fof(f1756,plain,(
% 18.92/2.80 ![X0]: (is_a_theorem(implies(X0,X0))|~spl0_59|~spl0_19|~spl0_1|~spl0_62)),
% 18.92/2.80 inference(resolution,[status(thm)],[f1747,f407])).
% 18.92/2.80 fof(f1790,plain,(
% 18.92/2.80 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),X1)))|~spl0_59|~spl0_62|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f1755,f181])).
% 18.92/2.80 fof(f1810,plain,(
% 18.92/2.80 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X2,implies(X0,X0)),X1)))|~spl0_59|~spl0_19|~spl0_1|~spl0_62)),
% 18.92/2.80 inference(resolution,[status(thm)],[f1790,f1756])).
% 18.92/2.80 fof(f1818,plain,(
% 18.92/2.80 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(implies(implies(X2,implies(X0,X0)),X1))|~spl0_59|~spl0_19|~spl0_62|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f1810,f181])).
% 18.92/2.80 fof(f1849,plain,(
% 18.92/2.80 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(X1,X1)),implies(X1,X1)))|~spl0_59|~spl0_19|~spl0_1|~spl0_62)),
% 18.92/2.80 inference(resolution,[status(thm)],[f1818,f1756])).
% 18.92/2.80 fof(f1850,plain,(
% 18.92/2.80 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1)))|~spl0_62|~spl0_59|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f1849,f1747])).
% 18.92/2.80 fof(f1868,plain,(
% 18.92/2.80 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,X2),X0),X1)))|~spl0_59|~spl0_62|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f1850,f961])).
% 18.92/2.80 fof(f1870,plain,(
% 18.92/2.80 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1))))|~spl0_62|~spl0_59|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f1850,f1008])).
% 18.92/2.80 fof(f1872,plain,(
% 18.92/2.80 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X3,X3),X1),X2)))|~spl0_62|~spl0_59|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f1850,f1044])).
% 18.92/2.80 fof(f1875,plain,(
% 18.92/2.80 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1)))|~spl0_62|~spl0_59|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f1850,f548])).
% 18.92/2.80 fof(f1893,plain,(
% 18.92/2.80 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(implies(X1,X2),X3)))|~spl0_62|~spl0_59|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f1870,f548])).
% 18.92/2.80 fof(f1962,plain,(
% 18.92/2.80 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(implies(X2,X2),X0),X1))|~spl0_59|~spl0_62|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f1868,f181])).
% 18.92/2.80 fof(f2021,plain,(
% 18.92/2.80 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X0),implies(implies(X1,X1),X2)),implies(X3,X2)))|~spl0_62|~spl0_59|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f1962,f1875])).
% 18.92/2.80 fof(f2041,plain,(
% 18.92/2.80 ![X0,X1]: (is_a_theorem(implies(implies(implies(X0,X0),X1),X1))|~spl0_59|~spl0_19|~spl0_1|~spl0_62)),
% 18.92/2.80 inference(resolution,[status(thm)],[f1962,f1756])).
% 18.92/2.80 fof(f2054,plain,(
% 18.92/2.80 ![X0,X1]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(X1)|~spl0_59|~spl0_19|~spl0_62|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f2041,f181])).
% 18.92/2.80 fof(f2484,plain,(
% 18.92/2.80 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),X2))|is_a_theorem(implies(implies(implies(X3,X3),X1),X2))|~spl0_62|~spl0_59|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f1872,f181])).
% 18.92/2.80 fof(f2540,plain,(
% 18.92/2.80 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(X1,X2)),X3))|is_a_theorem(implies(implies(X1,X2),X3))|~spl0_62|~spl0_59|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f1893,f181])).
% 18.92/2.80 fof(f2897,plain,(
% 18.92/2.80 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,X2),implies(X3,X2))))|~spl0_62|~spl0_59|~spl0_1|~spl0_19)),
% 18.92/2.80 inference(resolution,[status(thm)],[f2484,f248])).
% 18.92/2.80 fof(f3273,plain,(
% 18.92/2.80 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X3,implies(X2,X1)))))|~spl0_62|~spl0_59|~spl0_1|~spl0_19)),
% 18.92/2.80 inference(resolution,[status(thm)],[f2540,f802])).
% 18.92/2.80 fof(f3890,plain,(
% 18.92/2.80 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))|~spl0_62|~spl0_59|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f2897,f181])).
% 18.92/2.80 fof(f3953,plain,(
% 18.92/2.80 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X2,X0),implies(X3,implies(X2,X1))))|~spl0_62|~spl0_59|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f3273,f181])).
% 18.92/2.80 fof(f4485,plain,(
% 18.92/2.80 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,implies(X1,X1)),X2),implies(X3,X2)))|~spl0_62|~spl0_59|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f3890,f2021])).
% 18.92/2.80 fof(f4540,plain,(
% 18.92/2.80 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))|is_a_theorem(implies(X3,X2))|~spl0_62|~spl0_59|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f4485,f181])).
% 18.92/2.80 fof(f4680,plain,(
% 18.92/2.80 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,implies(implies(X1,X1),X2)),implies(X3,implies(X0,X2))))|~spl0_59|~spl0_19|~spl0_1|~spl0_62)),
% 18.92/2.80 inference(resolution,[status(thm)],[f3953,f2041])).
% 18.92/2.80 fof(f4832,plain,(
% 18.92/2.80 ![X0,X1,X2,X3]: (~is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))|is_a_theorem(implies(X3,implies(X0,X2)))|~spl0_59|~spl0_19|~spl0_62|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f4680,f181])).
% 18.92/2.80 fof(f10162,plain,(
% 18.92/2.80 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,implies(implies(X1,X3),X3))))|~spl0_59|~spl0_19|~spl0_1|~spl0_62)),
% 18.92/2.80 inference(resolution,[status(thm)],[f761,f4680])).
% 18.92/2.80 fof(f10223,plain,(
% 18.92/2.80 ![X0,X1,X2,X3]: (is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),implies(implies(X2,X3),X3))))|~spl0_59|~spl0_19|~spl0_62|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f10162,f4832])).
% 18.92/2.80 fof(f10316,plain,(
% 18.92/2.80 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,X2),X2)))|~spl0_59|~spl0_19|~spl0_62|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f10223,f2054])).
% 18.92/2.80 fof(f10374,plain,(
% 18.92/2.80 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(implies(implies(X1,X2),X2))|~spl0_59|~spl0_19|~spl0_62|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f10316,f181])).
% 18.92/2.80 fof(f10443,plain,(
% 18.92/2.80 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(implies(X0,X0),X1),X1),X2),X2))|~spl0_59|~spl0_19|~spl0_62|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f10374,f10316])).
% 18.92/2.80 fof(f10582,plain,(
% 18.92/2.80 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(implies(X1,X1),X2)),implies(X0,X2)))|~spl0_59|~spl0_62|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f10443,f761])).
% 18.92/2.80 fof(f10708,plain,(
% 18.92/2.80 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(implies(X1,X1),X2)))|is_a_theorem(implies(X0,X2))|~spl0_59|~spl0_62|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f10582,f181])).
% 18.92/2.80 fof(f10956,plain,(
% 18.92/2.80 ![X0,X1]: (is_a_theorem(implies(X0,implies(implies(X1,X0),X0)))|~spl0_59|~spl0_62|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f10708,f1755])).
% 18.92/2.80 fof(f11007,plain,(
% 18.92/2.80 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X1,X2)))|~spl0_59|~spl0_62|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f10956,f548])).
% 18.92/2.80 fof(f11102,plain,(
% 18.92/2.80 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X2,implies(X0,X2))))|~spl0_59|~spl0_62|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f11007,f761])).
% 18.92/2.80 fof(f11155,plain,(
% 18.92/2.80 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,implies(X2,X1))))|~spl0_62|~spl0_59|~spl0_19|~spl0_1)),
% 18.92/2.80 inference(resolution,[status(thm)],[f11102,f4540])).
% 18.92/2.80 fof(f11156,plain,(
% 18.92/2.80 spl0_89|~spl0_62|~spl0_59|~spl0_19|~spl0_1),
% 19.53/2.83 inference(split_clause,[status(thm)],[f11155,f532,f406,f395,f247,f180])).
% 19.53/2.83 fof(f11200,plain,(
% 19.53/2.83 $false|~spl0_12),
% 19.53/2.83 inference(forward_subsumption_resolution,[status(thm)],[f223,f176])).
% 19.53/2.83 fof(f11201,plain,(
% 19.53/2.83 ~spl0_12),
% 19.53/2.83 inference(contradiction_clause,[status(thm)],[f11200])).
% 19.53/2.83 fof(f13923,plain,(
% 19.53/2.83 $false|~spl0_13|spl0_14),
% 19.53/2.83 inference(forward_subsumption_resolution,[status(thm)],[f231,f226])).
% 19.53/2.83 fof(f13924,plain,(
% 19.53/2.83 ~spl0_13|spl0_14),
% 19.53/2.83 inference(contradiction_clause,[status(thm)],[f13923])).
% 19.53/2.83 fof(f13925,plain,(
% 19.53/2.83 $false),
% 19.53/2.83 inference(sat_refutation,[status(thm)],[f183,f232,f387,f398,f409,f504,f539,f541,f543,f552,f1675,f11156,f11201,f13924])).
% 19.53/2.83 % SZS output end CNFRefutation for theBenchmark.p
% 19.53/2.86 % Elapsed time: 2.493685 seconds
% 19.53/2.86 % CPU time: 19.568245 seconds
% 19.53/2.86 % Total memory used: 330.271 MB
% 19.53/2.86 % Net memory used: 321.071 MB
%------------------------------------------------------------------------------