TSTP Solution File: LCL551+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL551+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:27:26 EDT 2024
% Result : Theorem 126.85s 16.43s
% Output : CNFRefutation 129.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL551+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 20:20:51 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 126.85/16.43 % Refutation found
% 126.85/16.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 126.85/16.43 % SZS output start CNFRefutation for theBenchmark
% 126.85/16.43 fof(f2,axiom,(
% 126.85/16.43 ( substitution_of_equivalents<=> (! [X,Y] :( is_a_theorem(equiv(X,Y))=> X = Y ) )) ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f3,axiom,(
% 126.85/16.43 ( modus_tollens<=> (! [X,Y] : is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y))) )) ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f27,axiom,(
% 126.85/16.43 ( op_or=> (! [X,Y] : or(X,Y) = not(and(not(X),not(Y))) )) ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f29,axiom,(
% 126.85/16.43 ( op_implies_and=> (! [X,Y] : implies(X,Y) = not(and(X,not(Y))) )) ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f31,axiom,(
% 126.85/16.43 ( op_equiv=> (! [X,Y] : equiv(X,Y) = and(implies(X,Y),implies(Y,X)) )) ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f33,axiom,(
% 126.85/16.43 ( modus_ponens_strict_implies<=> (! [X,Y] :( ( is_a_theorem(X)& is_a_theorem(strict_implies(X,Y)) )=> is_a_theorem(Y) ) )) ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f34,axiom,(
% 126.85/16.43 ( adjunction<=> (! [X,Y] :( ( is_a_theorem(X)& is_a_theorem(Y) )=> is_a_theorem(and(X,Y)) ) )) ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f35,axiom,(
% 126.85/16.43 ( substitution_strict_equiv<=> (! [X,Y] :( is_a_theorem(strict_equiv(X,Y))=> X = Y ) )) ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f45,axiom,(
% 126.85/16.43 ( axiom_m1<=> (! [X,Y] : is_a_theorem(strict_implies(and(X,Y),and(Y,X))) )) ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f46,axiom,(
% 126.85/16.43 ( axiom_m2<=> (! [X,Y] : is_a_theorem(strict_implies(and(X,Y),X)) )) ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f47,axiom,(
% 126.85/16.43 ( axiom_m3<=> (! [X,Y,Z] : is_a_theorem(strict_implies(and(and(X,Y),Z),and(X,and(Y,Z)))) )) ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f48,axiom,(
% 126.85/16.43 ( axiom_m4<=> (! [X] : is_a_theorem(strict_implies(X,and(X,X))) )) ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f49,axiom,(
% 126.85/16.43 ( axiom_m5<=> (! [X,Y,Z] : is_a_theorem(strict_implies(and(strict_implies(X,Y),strict_implies(Y,Z)),strict_implies(X,Z))) )) ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f57,axiom,(
% 126.85/16.43 ( op_strict_implies=> (! [X,Y] : strict_implies(X,Y) = necessarily(implies(X,Y)) )) ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f58,axiom,(
% 126.85/16.43 ( op_strict_equiv=> (! [X,Y] : strict_equiv(X,Y) = and(strict_implies(X,Y),strict_implies(Y,X)) )) ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f60,axiom,(
% 126.85/16.43 op_or ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f62,axiom,(
% 126.85/16.43 op_strict_implies ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f63,axiom,(
% 126.85/16.43 op_equiv ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f64,axiom,(
% 126.85/16.43 op_strict_equiv ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f65,axiom,(
% 126.85/16.43 modus_ponens_strict_implies ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f66,axiom,(
% 126.85/16.43 substitution_strict_equiv ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f67,axiom,(
% 126.85/16.43 adjunction ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f68,axiom,(
% 126.85/16.43 axiom_m1 ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f69,axiom,(
% 126.85/16.43 axiom_m2 ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f70,axiom,(
% 126.85/16.43 axiom_m3 ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f71,axiom,(
% 126.85/16.43 axiom_m4 ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f72,axiom,(
% 126.85/16.43 axiom_m5 ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f74,axiom,(
% 126.85/16.43 op_implies_and ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f76,axiom,(
% 126.85/16.43 substitution_of_equivalents ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 126.85/16.43 fof(f77,conjecture,(
% 126.85/16.43 modus_tollens ),
% 126.85/16.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 127.61/16.44 fof(f78,negated_conjecture,(
% 127.61/16.44 ~(modus_tollens )),
% 127.61/16.44 inference(negated_conjecture,[status(cth)],[f77])).
% 127.61/16.44 fof(f87,plain,(
% 127.61/16.44 substitution_of_equivalents<=>(![X,Y]: (~is_a_theorem(equiv(X,Y))|X=Y))),
% 127.61/16.44 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 127.61/16.44 fof(f88,plain,(
% 127.61/16.44 (~substitution_of_equivalents|(![X,Y]: (~is_a_theorem(equiv(X,Y))|X=Y)))&(substitution_of_equivalents|(?[X,Y]: (is_a_theorem(equiv(X,Y))&~X=Y)))),
% 127.61/16.44 inference(NNF_transformation,[status(esa)],[f87])).
% 127.61/16.44 fof(f89,plain,(
% 127.61/16.44 (~substitution_of_equivalents|(![X,Y]: (~is_a_theorem(equiv(X,Y))|X=Y)))&(substitution_of_equivalents|(is_a_theorem(equiv(sk0_2,sk0_3))&~sk0_2=sk0_3))),
% 127.61/16.44 inference(skolemization,[status(esa)],[f88])).
% 127.61/16.44 fof(f90,plain,(
% 127.61/16.44 ![X0,X1]: (~substitution_of_equivalents|~is_a_theorem(equiv(X0,X1))|X0=X1)),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f89])).
% 127.61/16.44 fof(f93,plain,(
% 127.61/16.44 (~modus_tollens|(![X,Y]: is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y)))))&(modus_tollens|(?[X,Y]: ~is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y)))))),
% 127.61/16.44 inference(NNF_transformation,[status(esa)],[f3])).
% 127.61/16.44 fof(f94,plain,(
% 127.61/16.44 (~modus_tollens|(![X,Y]: is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y)))))&(modus_tollens|~is_a_theorem(implies(implies(not(sk0_5),not(sk0_4)),implies(sk0_4,sk0_5))))),
% 127.61/16.44 inference(skolemization,[status(esa)],[f93])).
% 127.61/16.44 fof(f96,plain,(
% 127.61/16.44 modus_tollens|~is_a_theorem(implies(implies(not(sk0_5),not(sk0_4)),implies(sk0_4,sk0_5)))),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f94])).
% 127.61/16.44 fof(f189,plain,(
% 127.61/16.44 ~op_or|(![X,Y]: or(X,Y)=not(and(not(X),not(Y))))),
% 127.61/16.44 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 127.61/16.44 fof(f190,plain,(
% 127.61/16.44 ![X0,X1]: (~op_or|or(X0,X1)=not(and(not(X0),not(X1))))),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f189])).
% 127.61/16.44 fof(f193,plain,(
% 127.61/16.44 ~op_implies_and|(![X,Y]: implies(X,Y)=not(and(X,not(Y))))),
% 127.61/16.44 inference(pre_NNF_transformation,[status(esa)],[f29])).
% 127.61/16.44 fof(f194,plain,(
% 127.61/16.44 ![X0,X1]: (~op_implies_and|implies(X0,X1)=not(and(X0,not(X1))))),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f193])).
% 127.61/16.44 fof(f197,plain,(
% 127.61/16.44 ~op_equiv|(![X,Y]: equiv(X,Y)=and(implies(X,Y),implies(Y,X)))),
% 127.61/16.44 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 127.61/16.44 fof(f198,plain,(
% 127.61/16.44 ![X0,X1]: (~op_equiv|equiv(X0,X1)=and(implies(X0,X1),implies(X1,X0)))),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f197])).
% 127.61/16.44 fof(f205,plain,(
% 127.61/16.44 modus_ponens_strict_implies<=>(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(strict_implies(X,Y)))|is_a_theorem(Y)))),
% 127.61/16.44 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 127.61/16.44 fof(f206,plain,(
% 127.61/16.44 (~modus_ponens_strict_implies|(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(strict_implies(X,Y)))|is_a_theorem(Y))))&(modus_ponens_strict_implies|(?[X,Y]: ((is_a_theorem(X)&is_a_theorem(strict_implies(X,Y)))&~is_a_theorem(Y))))),
% 127.61/16.44 inference(NNF_transformation,[status(esa)],[f205])).
% 127.61/16.44 fof(f207,plain,(
% 127.61/16.44 (~modus_ponens_strict_implies|(![Y]: ((![X]: (~is_a_theorem(X)|~is_a_theorem(strict_implies(X,Y))))|is_a_theorem(Y))))&(modus_ponens_strict_implies|(?[Y]: ((?[X]: (is_a_theorem(X)&is_a_theorem(strict_implies(X,Y))))&~is_a_theorem(Y))))),
% 127.61/16.44 inference(miniscoping,[status(esa)],[f206])).
% 127.61/16.44 fof(f208,plain,(
% 127.61/16.44 (~modus_ponens_strict_implies|(![Y]: ((![X]: (~is_a_theorem(X)|~is_a_theorem(strict_implies(X,Y))))|is_a_theorem(Y))))&(modus_ponens_strict_implies|((is_a_theorem(sk0_57)&is_a_theorem(strict_implies(sk0_57,sk0_56)))&~is_a_theorem(sk0_56)))),
% 127.61/16.44 inference(skolemization,[status(esa)],[f207])).
% 127.61/16.44 fof(f209,plain,(
% 127.61/16.44 ![X0,X1]: (~modus_ponens_strict_implies|~is_a_theorem(X0)|~is_a_theorem(strict_implies(X0,X1))|is_a_theorem(X1))),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f208])).
% 127.61/16.44 fof(f213,plain,(
% 127.61/16.44 adjunction<=>(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(Y))|is_a_theorem(and(X,Y))))),
% 127.61/16.44 inference(pre_NNF_transformation,[status(esa)],[f34])).
% 127.61/16.44 fof(f214,plain,(
% 127.61/16.44 (~adjunction|(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(Y))|is_a_theorem(and(X,Y)))))&(adjunction|(?[X,Y]: ((is_a_theorem(X)&is_a_theorem(Y))&~is_a_theorem(and(X,Y)))))),
% 127.61/16.44 inference(NNF_transformation,[status(esa)],[f213])).
% 127.61/16.44 fof(f215,plain,(
% 127.61/16.44 (~adjunction|(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(Y))|is_a_theorem(and(X,Y)))))&(adjunction|((is_a_theorem(sk0_58)&is_a_theorem(sk0_59))&~is_a_theorem(and(sk0_58,sk0_59))))),
% 127.61/16.44 inference(skolemization,[status(esa)],[f214])).
% 127.61/16.44 fof(f216,plain,(
% 127.61/16.44 ![X0,X1]: (~adjunction|~is_a_theorem(X0)|~is_a_theorem(X1)|is_a_theorem(and(X0,X1)))),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f215])).
% 127.61/16.44 fof(f220,plain,(
% 127.61/16.44 substitution_strict_equiv<=>(![X,Y]: (~is_a_theorem(strict_equiv(X,Y))|X=Y))),
% 127.61/16.44 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 127.61/16.44 fof(f221,plain,(
% 127.61/16.44 (~substitution_strict_equiv|(![X,Y]: (~is_a_theorem(strict_equiv(X,Y))|X=Y)))&(substitution_strict_equiv|(?[X,Y]: (is_a_theorem(strict_equiv(X,Y))&~X=Y)))),
% 127.61/16.44 inference(NNF_transformation,[status(esa)],[f220])).
% 127.61/16.44 fof(f222,plain,(
% 127.61/16.44 (~substitution_strict_equiv|(![X,Y]: (~is_a_theorem(strict_equiv(X,Y))|X=Y)))&(substitution_strict_equiv|(is_a_theorem(strict_equiv(sk0_60,sk0_61))&~sk0_60=sk0_61))),
% 127.61/16.44 inference(skolemization,[status(esa)],[f221])).
% 127.61/16.44 fof(f223,plain,(
% 127.61/16.44 ![X0,X1]: (~substitution_strict_equiv|~is_a_theorem(strict_equiv(X0,X1))|X0=X1)),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f222])).
% 127.61/16.44 fof(f262,plain,(
% 127.61/16.44 (~axiom_m1|(![X,Y]: is_a_theorem(strict_implies(and(X,Y),and(Y,X)))))&(axiom_m1|(?[X,Y]: ~is_a_theorem(strict_implies(and(X,Y),and(Y,X)))))),
% 127.61/16.44 inference(NNF_transformation,[status(esa)],[f45])).
% 127.61/16.44 fof(f263,plain,(
% 127.61/16.44 (~axiom_m1|(![X,Y]: is_a_theorem(strict_implies(and(X,Y),and(Y,X)))))&(axiom_m1|~is_a_theorem(strict_implies(and(sk0_76,sk0_77),and(sk0_77,sk0_76))))),
% 127.61/16.44 inference(skolemization,[status(esa)],[f262])).
% 127.61/16.44 fof(f264,plain,(
% 127.61/16.44 ![X0,X1]: (~axiom_m1|is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))))),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f263])).
% 127.61/16.44 fof(f266,plain,(
% 127.61/16.44 (~axiom_m2|(![X,Y]: is_a_theorem(strict_implies(and(X,Y),X))))&(axiom_m2|(?[X,Y]: ~is_a_theorem(strict_implies(and(X,Y),X))))),
% 127.61/16.44 inference(NNF_transformation,[status(esa)],[f46])).
% 127.61/16.44 fof(f267,plain,(
% 127.61/16.44 (~axiom_m2|(![X,Y]: is_a_theorem(strict_implies(and(X,Y),X))))&(axiom_m2|~is_a_theorem(strict_implies(and(sk0_78,sk0_79),sk0_78)))),
% 127.61/16.44 inference(skolemization,[status(esa)],[f266])).
% 127.61/16.44 fof(f268,plain,(
% 127.61/16.44 ![X0,X1]: (~axiom_m2|is_a_theorem(strict_implies(and(X0,X1),X0)))),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f267])).
% 127.61/16.44 fof(f270,plain,(
% 127.61/16.44 (~axiom_m3|(![X,Y,Z]: is_a_theorem(strict_implies(and(and(X,Y),Z),and(X,and(Y,Z))))))&(axiom_m3|(?[X,Y,Z]: ~is_a_theorem(strict_implies(and(and(X,Y),Z),and(X,and(Y,Z))))))),
% 127.61/16.44 inference(NNF_transformation,[status(esa)],[f47])).
% 127.61/16.44 fof(f271,plain,(
% 127.61/16.44 (~axiom_m3|(![X,Y,Z]: is_a_theorem(strict_implies(and(and(X,Y),Z),and(X,and(Y,Z))))))&(axiom_m3|~is_a_theorem(strict_implies(and(and(sk0_80,sk0_81),sk0_82),and(sk0_80,and(sk0_81,sk0_82)))))),
% 127.61/16.44 inference(skolemization,[status(esa)],[f270])).
% 127.61/16.44 fof(f272,plain,(
% 127.61/16.44 ![X0,X1,X2]: (~axiom_m3|is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2)))))),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f271])).
% 127.61/16.44 fof(f274,plain,(
% 127.61/16.44 (~axiom_m4|(![X]: is_a_theorem(strict_implies(X,and(X,X)))))&(axiom_m4|(?[X]: ~is_a_theorem(strict_implies(X,and(X,X)))))),
% 127.61/16.44 inference(NNF_transformation,[status(esa)],[f48])).
% 127.61/16.44 fof(f275,plain,(
% 127.61/16.44 (~axiom_m4|(![X]: is_a_theorem(strict_implies(X,and(X,X)))))&(axiom_m4|~is_a_theorem(strict_implies(sk0_83,and(sk0_83,sk0_83))))),
% 127.61/16.44 inference(skolemization,[status(esa)],[f274])).
% 127.61/16.44 fof(f276,plain,(
% 127.61/16.44 ![X0]: (~axiom_m4|is_a_theorem(strict_implies(X0,and(X0,X0))))),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f275])).
% 127.61/16.44 fof(f278,plain,(
% 127.61/16.44 (~axiom_m5|(![X,Y,Z]: is_a_theorem(strict_implies(and(strict_implies(X,Y),strict_implies(Y,Z)),strict_implies(X,Z)))))&(axiom_m5|(?[X,Y,Z]: ~is_a_theorem(strict_implies(and(strict_implies(X,Y),strict_implies(Y,Z)),strict_implies(X,Z)))))),
% 127.61/16.44 inference(NNF_transformation,[status(esa)],[f49])).
% 127.61/16.44 fof(f279,plain,(
% 127.61/16.44 (~axiom_m5|(![X,Y,Z]: is_a_theorem(strict_implies(and(strict_implies(X,Y),strict_implies(Y,Z)),strict_implies(X,Z)))))&(axiom_m5|~is_a_theorem(strict_implies(and(strict_implies(sk0_84,sk0_85),strict_implies(sk0_85,sk0_86)),strict_implies(sk0_84,sk0_86))))),
% 127.61/16.44 inference(skolemization,[status(esa)],[f278])).
% 127.61/16.44 fof(f280,plain,(
% 127.61/16.44 ![X0,X1,X2]: (~axiom_m5|is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2))))),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f279])).
% 127.61/16.44 fof(f306,plain,(
% 127.61/16.44 ~op_strict_implies|(![X,Y]: strict_implies(X,Y)=necessarily(implies(X,Y)))),
% 127.61/16.44 inference(pre_NNF_transformation,[status(esa)],[f57])).
% 127.61/16.44 fof(f307,plain,(
% 127.61/16.44 ![X0,X1]: (~op_strict_implies|strict_implies(X0,X1)=necessarily(implies(X0,X1)))),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f306])).
% 127.61/16.44 fof(f308,plain,(
% 127.61/16.44 ~op_strict_equiv|(![X,Y]: strict_equiv(X,Y)=and(strict_implies(X,Y),strict_implies(Y,X)))),
% 127.61/16.44 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 127.61/16.44 fof(f309,plain,(
% 127.61/16.44 ![X0,X1]: (~op_strict_equiv|strict_equiv(X0,X1)=and(strict_implies(X0,X1),strict_implies(X1,X0)))),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f308])).
% 127.61/16.44 fof(f311,plain,(
% 127.61/16.44 op_or),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f60])).
% 127.61/16.44 fof(f313,plain,(
% 127.61/16.44 op_strict_implies),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f62])).
% 127.61/16.44 fof(f314,plain,(
% 127.61/16.44 op_equiv),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f63])).
% 127.61/16.44 fof(f315,plain,(
% 127.61/16.44 op_strict_equiv),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f64])).
% 127.61/16.44 fof(f316,plain,(
% 127.61/16.44 modus_ponens_strict_implies),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f65])).
% 127.61/16.44 fof(f317,plain,(
% 127.61/16.44 substitution_strict_equiv),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f66])).
% 127.61/16.44 fof(f318,plain,(
% 127.61/16.44 adjunction),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f67])).
% 127.61/16.44 fof(f319,plain,(
% 127.61/16.44 axiom_m1),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f68])).
% 127.61/16.44 fof(f320,plain,(
% 127.61/16.44 axiom_m2),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f69])).
% 127.61/16.44 fof(f321,plain,(
% 127.61/16.44 axiom_m3),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f70])).
% 127.61/16.44 fof(f322,plain,(
% 127.61/16.44 axiom_m4),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f71])).
% 127.61/16.44 fof(f323,plain,(
% 127.61/16.44 axiom_m5),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f72])).
% 127.61/16.44 fof(f325,plain,(
% 127.61/16.44 op_implies_and),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f74])).
% 127.61/16.44 fof(f327,plain,(
% 127.61/16.44 substitution_of_equivalents),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f76])).
% 127.61/16.44 fof(f328,plain,(
% 127.61/16.44 ~modus_tollens),
% 127.61/16.44 inference(cnf_transformation,[status(esa)],[f78])).
% 127.61/16.44 fof(f348,plain,(
% 127.61/16.44 spl0_5 <=> substitution_of_equivalents),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f350,plain,(
% 127.61/16.44 ~substitution_of_equivalents|spl0_5),
% 127.61/16.44 inference(component_clause,[status(thm)],[f348])).
% 127.61/16.44 fof(f351,plain,(
% 127.61/16.44 spl0_6 <=> ~is_a_theorem(equiv(X0,X1))|X0=X1),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f352,plain,(
% 127.61/16.44 ![X0,X1]: (~is_a_theorem(equiv(X0,X1))|X0=X1|~spl0_6)),
% 127.61/16.44 inference(component_clause,[status(thm)],[f351])).
% 127.61/16.44 fof(f354,plain,(
% 127.61/16.44 ~spl0_5|spl0_6),
% 127.61/16.44 inference(split_clause,[status(thm)],[f90,f348,f351])).
% 127.61/16.44 fof(f363,plain,(
% 127.61/16.44 spl0_9 <=> modus_tollens),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f364,plain,(
% 127.61/16.44 modus_tollens|~spl0_9),
% 127.61/16.44 inference(component_clause,[status(thm)],[f363])).
% 127.61/16.44 fof(f370,plain,(
% 127.61/16.44 spl0_11 <=> is_a_theorem(implies(implies(not(sk0_5),not(sk0_4)),implies(sk0_4,sk0_5)))),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f372,plain,(
% 127.61/16.44 ~is_a_theorem(implies(implies(not(sk0_5),not(sk0_4)),implies(sk0_4,sk0_5)))|spl0_11),
% 127.61/16.44 inference(component_clause,[status(thm)],[f370])).
% 127.61/16.44 fof(f373,plain,(
% 127.61/16.44 spl0_9|~spl0_11),
% 127.61/16.44 inference(split_clause,[status(thm)],[f96,f363,f370])).
% 127.61/16.44 fof(f410,plain,(
% 127.61/16.44 spl0_22 <=> is_a_theorem(implies(and(X0,X1),X0))),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f411,plain,(
% 127.61/16.44 ![X0,X1]: (is_a_theorem(implies(and(X0,X1),X0))|~spl0_22)),
% 127.61/16.44 inference(component_clause,[status(thm)],[f410])).
% 127.61/16.44 fof(f618,plain,(
% 127.61/16.44 spl0_78 <=> op_or),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f620,plain,(
% 127.61/16.44 ~op_or|spl0_78),
% 127.61/16.44 inference(component_clause,[status(thm)],[f618])).
% 127.61/16.44 fof(f621,plain,(
% 127.61/16.44 spl0_79 <=> or(X0,X1)=not(and(not(X0),not(X1)))),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f622,plain,(
% 127.61/16.44 ![X0,X1]: (or(X0,X1)=not(and(not(X0),not(X1)))|~spl0_79)),
% 127.61/16.44 inference(component_clause,[status(thm)],[f621])).
% 127.61/16.44 fof(f624,plain,(
% 127.61/16.44 ~spl0_78|spl0_79),
% 127.61/16.44 inference(split_clause,[status(thm)],[f190,f618,f621])).
% 127.61/16.44 fof(f632,plain,(
% 127.61/16.44 spl0_82 <=> op_implies_and),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f634,plain,(
% 127.61/16.44 ~op_implies_and|spl0_82),
% 127.61/16.44 inference(component_clause,[status(thm)],[f632])).
% 127.61/16.44 fof(f635,plain,(
% 127.61/16.44 spl0_83 <=> implies(X0,X1)=not(and(X0,not(X1)))),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f636,plain,(
% 127.61/16.44 ![X0,X1]: (implies(X0,X1)=not(and(X0,not(X1)))|~spl0_83)),
% 127.61/16.44 inference(component_clause,[status(thm)],[f635])).
% 127.61/16.44 fof(f638,plain,(
% 127.61/16.44 ~spl0_82|spl0_83),
% 127.61/16.44 inference(split_clause,[status(thm)],[f194,f632,f635])).
% 127.61/16.44 fof(f646,plain,(
% 127.61/16.44 spl0_86 <=> op_equiv),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f648,plain,(
% 127.61/16.44 ~op_equiv|spl0_86),
% 127.61/16.44 inference(component_clause,[status(thm)],[f646])).
% 127.61/16.44 fof(f649,plain,(
% 127.61/16.44 spl0_87 <=> equiv(X0,X1)=and(implies(X0,X1),implies(X1,X0))),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f650,plain,(
% 127.61/16.44 ![X0,X1]: (equiv(X0,X1)=and(implies(X0,X1),implies(X1,X0))|~spl0_87)),
% 127.61/16.44 inference(component_clause,[status(thm)],[f649])).
% 127.61/16.44 fof(f652,plain,(
% 127.61/16.44 ~spl0_86|spl0_87),
% 127.61/16.44 inference(split_clause,[status(thm)],[f198,f646,f649])).
% 127.61/16.44 fof(f668,plain,(
% 127.61/16.44 spl0_92 <=> modus_ponens_strict_implies),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f670,plain,(
% 127.61/16.44 ~modus_ponens_strict_implies|spl0_92),
% 127.61/16.44 inference(component_clause,[status(thm)],[f668])).
% 127.61/16.44 fof(f671,plain,(
% 127.61/16.44 spl0_93 <=> ~is_a_theorem(X0)|~is_a_theorem(strict_implies(X0,X1))|is_a_theorem(X1)),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f672,plain,(
% 127.61/16.44 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(strict_implies(X0,X1))|is_a_theorem(X1)|~spl0_93)),
% 127.61/16.44 inference(component_clause,[status(thm)],[f671])).
% 127.61/16.44 fof(f674,plain,(
% 127.61/16.44 ~spl0_92|spl0_93),
% 127.61/16.44 inference(split_clause,[status(thm)],[f209,f668,f671])).
% 127.61/16.44 fof(f687,plain,(
% 127.61/16.44 spl0_97 <=> adjunction),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f689,plain,(
% 127.61/16.44 ~adjunction|spl0_97),
% 127.61/16.44 inference(component_clause,[status(thm)],[f687])).
% 127.61/16.44 fof(f690,plain,(
% 127.61/16.44 spl0_98 <=> ~is_a_theorem(X0)|~is_a_theorem(X1)|is_a_theorem(and(X0,X1))),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f691,plain,(
% 127.61/16.44 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(X1)|is_a_theorem(and(X0,X1))|~spl0_98)),
% 127.61/16.44 inference(component_clause,[status(thm)],[f690])).
% 127.61/16.44 fof(f693,plain,(
% 127.61/16.44 ~spl0_97|spl0_98),
% 127.61/16.44 inference(split_clause,[status(thm)],[f216,f687,f690])).
% 127.61/16.44 fof(f706,plain,(
% 127.61/16.44 spl0_102 <=> substitution_strict_equiv),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f708,plain,(
% 127.61/16.44 ~substitution_strict_equiv|spl0_102),
% 127.61/16.44 inference(component_clause,[status(thm)],[f706])).
% 127.61/16.44 fof(f709,plain,(
% 127.61/16.44 spl0_103 <=> ~is_a_theorem(strict_equiv(X0,X1))|X0=X1),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f710,plain,(
% 127.61/16.44 ![X0,X1]: (~is_a_theorem(strict_equiv(X0,X1))|X0=X1|~spl0_103)),
% 127.61/16.44 inference(component_clause,[status(thm)],[f709])).
% 127.61/16.44 fof(f712,plain,(
% 127.61/16.44 ~spl0_102|spl0_103),
% 127.61/16.44 inference(split_clause,[status(thm)],[f223,f706,f709])).
% 127.61/16.44 fof(f820,plain,(
% 127.61/16.44 spl0_133 <=> axiom_m1),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f822,plain,(
% 127.61/16.44 ~axiom_m1|spl0_133),
% 127.61/16.44 inference(component_clause,[status(thm)],[f820])).
% 127.61/16.44 fof(f823,plain,(
% 127.61/16.44 spl0_134 <=> is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f824,plain,(
% 127.61/16.44 ![X0,X1]: (is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))|~spl0_134)),
% 127.61/16.44 inference(component_clause,[status(thm)],[f823])).
% 127.61/16.44 fof(f826,plain,(
% 127.61/16.44 ~spl0_133|spl0_134),
% 127.61/16.44 inference(split_clause,[status(thm)],[f264,f820,f823])).
% 127.61/16.44 fof(f831,plain,(
% 127.61/16.44 spl0_136 <=> axiom_m2),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f833,plain,(
% 127.61/16.44 ~axiom_m2|spl0_136),
% 127.61/16.44 inference(component_clause,[status(thm)],[f831])).
% 127.61/16.44 fof(f834,plain,(
% 127.61/16.44 spl0_137 <=> is_a_theorem(strict_implies(and(X0,X1),X0))),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f835,plain,(
% 127.61/16.44 ![X0,X1]: (is_a_theorem(strict_implies(and(X0,X1),X0))|~spl0_137)),
% 127.61/16.44 inference(component_clause,[status(thm)],[f834])).
% 127.61/16.44 fof(f837,plain,(
% 127.61/16.44 ~spl0_136|spl0_137),
% 127.61/16.44 inference(split_clause,[status(thm)],[f268,f831,f834])).
% 127.61/16.44 fof(f842,plain,(
% 127.61/16.44 spl0_139 <=> axiom_m3),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f844,plain,(
% 127.61/16.44 ~axiom_m3|spl0_139),
% 127.61/16.44 inference(component_clause,[status(thm)],[f842])).
% 127.61/16.44 fof(f845,plain,(
% 127.61/16.44 spl0_140 <=> is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2))))),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f846,plain,(
% 127.61/16.44 ![X0,X1,X2]: (is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2))))|~spl0_140)),
% 127.61/16.44 inference(component_clause,[status(thm)],[f845])).
% 127.61/16.44 fof(f848,plain,(
% 127.61/16.44 ~spl0_139|spl0_140),
% 127.61/16.44 inference(split_clause,[status(thm)],[f272,f842,f845])).
% 127.61/16.44 fof(f853,plain,(
% 127.61/16.44 spl0_142 <=> axiom_m4),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f855,plain,(
% 127.61/16.44 ~axiom_m4|spl0_142),
% 127.61/16.44 inference(component_clause,[status(thm)],[f853])).
% 127.61/16.44 fof(f856,plain,(
% 127.61/16.44 spl0_143 <=> is_a_theorem(strict_implies(X0,and(X0,X0)))),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f857,plain,(
% 127.61/16.44 ![X0]: (is_a_theorem(strict_implies(X0,and(X0,X0)))|~spl0_143)),
% 127.61/16.44 inference(component_clause,[status(thm)],[f856])).
% 127.61/16.44 fof(f859,plain,(
% 127.61/16.44 ~spl0_142|spl0_143),
% 127.61/16.44 inference(split_clause,[status(thm)],[f276,f853,f856])).
% 127.61/16.44 fof(f864,plain,(
% 127.61/16.44 spl0_145 <=> axiom_m5),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f866,plain,(
% 127.61/16.44 ~axiom_m5|spl0_145),
% 127.61/16.44 inference(component_clause,[status(thm)],[f864])).
% 127.61/16.44 fof(f867,plain,(
% 127.61/16.44 spl0_146 <=> is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2)))),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f868,plain,(
% 127.61/16.44 ![X0,X1,X2]: (is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2)))|~spl0_146)),
% 127.61/16.44 inference(component_clause,[status(thm)],[f867])).
% 127.61/16.44 fof(f870,plain,(
% 127.61/16.44 ~spl0_145|spl0_146),
% 127.61/16.44 inference(split_clause,[status(thm)],[f280,f864,f867])).
% 127.61/16.44 fof(f944,plain,(
% 127.61/16.44 spl0_167 <=> op_strict_implies),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f946,plain,(
% 127.61/16.44 ~op_strict_implies|spl0_167),
% 127.61/16.44 inference(component_clause,[status(thm)],[f944])).
% 127.61/16.44 fof(f947,plain,(
% 127.61/16.44 spl0_168 <=> strict_implies(X0,X1)=necessarily(implies(X0,X1))),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f948,plain,(
% 127.61/16.44 ![X0,X1]: (strict_implies(X0,X1)=necessarily(implies(X0,X1))|~spl0_168)),
% 127.61/16.44 inference(component_clause,[status(thm)],[f947])).
% 127.61/16.44 fof(f950,plain,(
% 127.61/16.44 ~spl0_167|spl0_168),
% 127.61/16.44 inference(split_clause,[status(thm)],[f307,f944,f947])).
% 127.61/16.44 fof(f951,plain,(
% 127.61/16.44 spl0_169 <=> op_strict_equiv),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f953,plain,(
% 127.61/16.44 ~op_strict_equiv|spl0_169),
% 127.61/16.44 inference(component_clause,[status(thm)],[f951])).
% 127.61/16.44 fof(f954,plain,(
% 127.61/16.44 spl0_170 <=> strict_equiv(X0,X1)=and(strict_implies(X0,X1),strict_implies(X1,X0))),
% 127.61/16.44 introduced(split_symbol_definition)).
% 127.61/16.44 fof(f955,plain,(
% 127.61/16.44 ![X0,X1]: (strict_equiv(X0,X1)=and(strict_implies(X0,X1),strict_implies(X1,X0))|~spl0_170)),
% 127.61/16.44 inference(component_clause,[status(thm)],[f954])).
% 127.61/16.44 fof(f957,plain,(
% 127.61/16.44 ~spl0_169|spl0_170),
% 127.61/16.44 inference(split_clause,[status(thm)],[f309,f951,f954])).
% 127.61/16.44 fof(f958,plain,(
% 127.61/16.44 $false|spl0_169),
% 127.61/16.44 inference(forward_subsumption_resolution,[status(thm)],[f953,f315])).
% 127.61/16.44 fof(f959,plain,(
% 127.61/16.44 spl0_169),
% 127.61/16.44 inference(contradiction_clause,[status(thm)],[f958])).
% 127.61/16.44 fof(f960,plain,(
% 127.61/16.44 $false|spl0_97),
% 127.61/16.44 inference(forward_subsumption_resolution,[status(thm)],[f689,f318])).
% 127.61/16.44 fof(f961,plain,(
% 127.61/16.44 spl0_97),
% 127.61/16.44 inference(contradiction_clause,[status(thm)],[f960])).
% 127.61/16.44 fof(f962,plain,(
% 127.61/16.44 $false|spl0_92),
% 127.61/16.44 inference(forward_subsumption_resolution,[status(thm)],[f670,f316])).
% 127.61/16.44 fof(f963,plain,(
% 127.61/16.44 spl0_92),
% 127.61/16.44 inference(contradiction_clause,[status(thm)],[f962])).
% 127.61/16.44 fof(f964,plain,(
% 127.61/16.44 $false|spl0_102),
% 127.61/16.44 inference(forward_subsumption_resolution,[status(thm)],[f708,f317])).
% 127.61/16.44 fof(f965,plain,(
% 127.61/16.44 spl0_102),
% 127.61/16.44 inference(contradiction_clause,[status(thm)],[f964])).
% 127.61/16.44 fof(f966,plain,(
% 127.61/16.44 $false|spl0_5),
% 127.61/16.44 inference(forward_subsumption_resolution,[status(thm)],[f350,f327])).
% 127.61/16.44 fof(f967,plain,(
% 127.61/16.44 spl0_5),
% 127.61/16.44 inference(contradiction_clause,[status(thm)],[f966])).
% 127.61/16.44 fof(f968,plain,(
% 127.61/16.44 $false|spl0_167),
% 127.61/16.44 inference(forward_subsumption_resolution,[status(thm)],[f946,f313])).
% 127.61/16.44 fof(f969,plain,(
% 127.61/16.44 spl0_167),
% 127.61/16.44 inference(contradiction_clause,[status(thm)],[f968])).
% 127.61/16.44 fof(f972,plain,(
% 127.61/16.44 $false|spl0_86),
% 127.61/16.44 inference(forward_subsumption_resolution,[status(thm)],[f648,f314])).
% 127.61/16.44 fof(f973,plain,(
% 127.61/16.44 spl0_86),
% 127.61/16.44 inference(contradiction_clause,[status(thm)],[f972])).
% 127.61/16.44 fof(f974,plain,(
% 127.61/16.44 $false|spl0_82),
% 127.61/16.44 inference(forward_subsumption_resolution,[status(thm)],[f634,f325])).
% 127.61/16.44 fof(f975,plain,(
% 127.61/16.44 spl0_82),
% 127.61/16.44 inference(contradiction_clause,[status(thm)],[f974])).
% 127.61/16.44 fof(f976,plain,(
% 127.61/16.44 $false|spl0_78),
% 127.61/16.44 inference(forward_subsumption_resolution,[status(thm)],[f620,f311])).
% 127.61/16.44 fof(f977,plain,(
% 127.61/16.44 spl0_78),
% 127.61/16.44 inference(contradiction_clause,[status(thm)],[f976])).
% 127.61/16.44 fof(f991,plain,(
% 127.61/16.44 $false|spl0_142),
% 127.61/16.44 inference(forward_subsumption_resolution,[status(thm)],[f855,f322])).
% 127.61/16.44 fof(f992,plain,(
% 127.61/16.44 spl0_142),
% 127.61/16.44 inference(contradiction_clause,[status(thm)],[f991])).
% 127.61/16.44 fof(f995,plain,(
% 127.61/16.44 $false|spl0_136),
% 127.61/16.44 inference(forward_subsumption_resolution,[status(thm)],[f833,f320])).
% 127.61/16.44 fof(f996,plain,(
% 127.61/16.44 spl0_136),
% 127.61/16.44 inference(contradiction_clause,[status(thm)],[f995])).
% 127.61/16.44 fof(f1214,plain,(
% 127.61/16.44 $false|spl0_133),
% 127.61/16.44 inference(forward_subsumption_resolution,[status(thm)],[f822,f319])).
% 127.61/16.44 fof(f1215,plain,(
% 127.61/16.44 spl0_133),
% 127.61/16.44 inference(contradiction_clause,[status(thm)],[f1214])).
% 127.61/16.44 fof(f1958,plain,(
% 127.61/16.44 ![X0,X1]: (~is_a_theorem(and(X0,X1))|is_a_theorem(and(X1,X0))|~spl0_134|~spl0_93)),
% 127.61/16.44 inference(resolution,[status(thm)],[f824,f672])).
% 127.61/16.44 fof(f1972,plain,(
% 127.61/16.44 ![X0,X1]: (~is_a_theorem(strict_implies(X0,X1))|~is_a_theorem(strict_implies(X1,X0))|is_a_theorem(strict_equiv(X0,X1))|~spl0_98|~spl0_170)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f955,f691])).
% 127.61/16.44 fof(f1974,plain,(
% 127.61/16.44 ![X0,X1]: (is_a_theorem(strict_implies(strict_equiv(X0,X1),strict_implies(X0,X1)))|~spl0_137|~spl0_170)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f955,f835])).
% 127.61/16.44 fof(f1975,plain,(
% 127.61/16.44 ![X0]: (is_a_theorem(strict_implies(strict_implies(X0,X0),strict_equiv(X0,X0)))|~spl0_143|~spl0_170)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f955,f857])).
% 127.61/16.44 fof(f2191,plain,(
% 127.61/16.44 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X0))|is_a_theorem(equiv(X0,X1))|~spl0_98|~spl0_87)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f650,f691])).
% 127.61/16.44 fof(f2386,plain,(
% 127.61/16.44 ![X0,X1]: (or(X0,X1)=implies(not(X0),X1)|~spl0_83|~spl0_79)),
% 127.61/16.44 inference(forward_demodulation,[status(thm)],[f636,f622])).
% 127.61/16.44 fof(f2429,plain,(
% 127.61/16.44 ![X0,X1,X2]: (or(and(X0,not(X1)),X2)=implies(implies(X0,X1),X2)|~spl0_79|~spl0_83)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f636,f2386])).
% 127.61/16.44 fof(f2532,plain,(
% 127.61/16.44 ![X0,X1]: (equiv(X0,not(X1))=and(implies(X0,not(X1)),or(X1,X0))|~spl0_87|~spl0_83|~spl0_79)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f2386,f650])).
% 127.61/16.44 fof(f2567,plain,(
% 127.61/16.44 ![X0,X1]: (strict_implies(not(X0),X1)=necessarily(or(X0,X1))|~spl0_168|~spl0_83|~spl0_79)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f2386,f948])).
% 127.61/16.44 fof(f2588,plain,(
% 127.61/16.44 ![X0]: (is_a_theorem(necessarily(or(X0,and(not(X0),not(X0)))))|~spl0_143|~spl0_168|~spl0_83|~spl0_79)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f2567,f857])).
% 127.61/16.44 fof(f2609,plain,(
% 127.61/16.44 ![X0,X1]: (is_a_theorem(strict_implies(strict_equiv(not(X0),X1),necessarily(or(X0,X1))))|~spl0_137|~spl0_170|~spl0_168|~spl0_83|~spl0_79)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f2567,f1974])).
% 127.61/16.44 fof(f3993,plain,(
% 127.61/16.44 ~is_a_theorem(implies(or(sk0_5,not(sk0_4)),implies(sk0_4,sk0_5)))|~spl0_83|~spl0_79|spl0_11),
% 127.61/16.44 inference(forward_demodulation,[status(thm)],[f2386,f372])).
% 127.61/16.44 fof(f4002,plain,(
% 127.61/16.44 $false|spl0_145),
% 127.61/16.44 inference(forward_subsumption_resolution,[status(thm)],[f866,f323])).
% 127.61/16.44 fof(f4003,plain,(
% 127.61/16.44 spl0_145),
% 127.61/16.44 inference(contradiction_clause,[status(thm)],[f4002])).
% 127.61/16.44 fof(f4004,plain,(
% 127.61/16.44 ![X0,X1,X2]: (~is_a_theorem(and(strict_implies(X0,X1),strict_implies(X1,X2)))|is_a_theorem(strict_implies(X0,X2))|~spl0_146|~spl0_93)),
% 127.61/16.44 inference(resolution,[status(thm)],[f868,f672])).
% 127.61/16.44 fof(f4005,plain,(
% 127.61/16.44 ![X0,X1]: (is_a_theorem(strict_implies(strict_equiv(X0,X1),strict_implies(X0,X0)))|~spl0_146|~spl0_170)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f955,f868])).
% 127.61/16.44 fof(f4020,plain,(
% 127.61/16.44 $false|spl0_139),
% 127.61/16.44 inference(forward_subsumption_resolution,[status(thm)],[f844,f321])).
% 127.61/16.44 fof(f4021,plain,(
% 127.61/16.44 spl0_139),
% 127.61/16.44 inference(contradiction_clause,[status(thm)],[f4020])).
% 127.61/16.44 fof(f4105,plain,(
% 127.61/16.44 ![X0,X1]: (~is_a_theorem(strict_implies(X0,X1))|~is_a_theorem(strict_implies(X1,X0))|X0=X1|~spl0_98|~spl0_170|~spl0_103)),
% 127.61/16.44 inference(resolution,[status(thm)],[f1972,f710])).
% 127.61/16.44 fof(f4113,plain,(
% 127.61/16.44 ![X0]: (~is_a_theorem(strict_implies(strict_equiv(X0,X0),strict_implies(X0,X0)))|strict_equiv(X0,X0)=strict_implies(X0,X0)|~spl0_98|~spl0_103|~spl0_143|~spl0_170)),
% 127.61/16.44 inference(resolution,[status(thm)],[f4105,f1975])).
% 127.61/16.44 fof(f4114,plain,(
% 127.61/16.44 ![X0]: (strict_equiv(X0,X0)=strict_implies(X0,X0)|~spl0_146|~spl0_98|~spl0_103|~spl0_143|~spl0_170)),
% 127.61/16.44 inference(forward_subsumption_resolution,[status(thm)],[f4113,f4005])).
% 127.61/16.44 fof(f4120,plain,(
% 127.61/16.44 ![X0,X1]: (~is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))|and(X0,X1)=and(X1,X0)|~spl0_98|~spl0_170|~spl0_103|~spl0_134)),
% 127.61/16.44 inference(resolution,[status(thm)],[f4105,f824])).
% 127.61/16.44 fof(f4121,plain,(
% 127.61/16.44 ![X0,X1]: (and(X0,X1)=and(X1,X0)|~spl0_98|~spl0_170|~spl0_103|~spl0_134)),
% 127.61/16.44 inference(forward_subsumption_resolution,[status(thm)],[f4120,f824])).
% 127.61/16.44 fof(f4122,plain,(
% 127.61/16.44 ![X0,X1]: (~is_a_theorem(strict_implies(X0,and(X0,X1)))|X0=and(X0,X1)|~spl0_98|~spl0_170|~spl0_103|~spl0_137)),
% 127.61/16.44 inference(resolution,[status(thm)],[f4105,f835])).
% 127.61/16.44 fof(f4123,plain,(
% 127.61/16.44 ![X0]: (~is_a_theorem(strict_implies(and(X0,X0),X0))|and(X0,X0)=X0|~spl0_98|~spl0_170|~spl0_103|~spl0_143)),
% 127.61/16.44 inference(resolution,[status(thm)],[f4105,f857])).
% 127.61/16.44 fof(f4124,plain,(
% 127.61/16.44 ![X0]: (and(X0,X0)=X0|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_143)),
% 127.61/16.44 inference(forward_subsumption_resolution,[status(thm)],[f4123,f835])).
% 127.61/16.44 fof(f4126,plain,(
% 127.61/16.44 ![X0]: (is_a_theorem(necessarily(or(X0,not(X0))))|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_143|~spl0_168|~spl0_83|~spl0_79)),
% 127.61/16.44 inference(backward_demodulation,[status(thm)],[f4124,f2588])).
% 127.61/16.44 fof(f4130,plain,(
% 127.61/16.44 ![X0]: (is_a_theorem(strict_implies(X0,X0))|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_143)),
% 127.61/16.44 inference(backward_demodulation,[status(thm)],[f4124,f857])).
% 127.61/16.44 fof(f4141,plain,(
% 127.61/16.44 ![X0]: (implies(not(X0),X0)=not(not(X0))|~spl0_83|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_143)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f4124,f636])).
% 127.61/16.44 fof(f4142,plain,(
% 127.61/16.44 ![X0]: (or(X0,X0)=not(not(X0))|~spl0_79|~spl0_83|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_143)),
% 127.61/16.44 inference(forward_demodulation,[status(thm)],[f2386,f4141])).
% 127.61/16.44 fof(f4234,plain,(
% 127.61/16.44 ![X0,X1,X2]: (or(and(not(X0),X1),X2)=implies(implies(X1,X0),X2)|~spl0_79|~spl0_83|~spl0_98|~spl0_170|~spl0_103|~spl0_134)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f4121,f2429])).
% 127.61/16.44 fof(f4236,plain,(
% 127.61/16.44 ![X0,X1]: (implies(X0,X1)=not(and(not(X1),X0))|~spl0_83|~spl0_98|~spl0_170|~spl0_103|~spl0_134)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f4121,f636])).
% 127.61/16.44 fof(f4240,plain,(
% 127.61/16.44 ![X0,X1]: (is_a_theorem(strict_implies(and(X0,X1),X1))|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_134)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f4121,f835])).
% 127.61/16.44 fof(f4309,plain,(
% 127.61/16.44 ![X0,X1]: (implies(not(X0),X1)=implies(not(X1),X0)|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_83)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f636,f4236])).
% 127.61/16.44 fof(f4310,plain,(
% 127.61/16.44 ![X0,X1]: (or(X0,X1)=implies(not(X1),X0)|~spl0_79|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_83)),
% 127.61/16.44 inference(forward_demodulation,[status(thm)],[f2386,f4309])).
% 127.61/16.44 fof(f4311,plain,(
% 127.61/16.44 ![X0,X1]: (or(X0,X1)=or(X1,X0)|~spl0_79|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_83)),
% 127.61/16.44 inference(forward_demodulation,[status(thm)],[f2386,f4310])).
% 127.61/16.44 fof(f4357,plain,(
% 127.61/16.44 ![X0,X1]: (is_a_theorem(strict_implies(strict_equiv(not(X0),X1),necessarily(or(X1,X0))))|~spl0_137|~spl0_168|~spl0_79|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_83)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f4311,f2609])).
% 127.61/16.44 fof(f4387,plain,(
% 127.61/16.44 ![X0,X1]: (~is_a_theorem(strict_implies(X0,and(X1,X0)))|X0=and(X0,X1)|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_134)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f4121,f4122])).
% 127.61/16.44 fof(f4457,plain,(
% 127.61/16.44 ![X0,X1]: (is_a_theorem(strict_implies(and(X0,X1),and(X0,and(X0,X1))))|~spl0_140|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_143)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f4124,f846])).
% 127.61/16.44 fof(f4763,plain,(
% 127.61/16.44 ![X0,X1]: (and(X0,X1)=and(and(X0,X1),X0)|~spl0_140|~spl0_143|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_134)),
% 127.61/16.44 inference(resolution,[status(thm)],[f4457,f4387])).
% 127.61/16.44 fof(f4798,plain,(
% 127.61/16.44 ![X0,X1]: (and(X0,X1)=and(and(X1,X0),X0)|~spl0_140|~spl0_143|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_134)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f4121,f4763])).
% 127.61/16.44 fof(f4889,plain,(
% 127.61/16.44 ![X0,X1]: (implies(and(X0,not(X1)),X1)=not(and(not(X1),X0))|~spl0_83|~spl0_140|~spl0_143|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_134)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f4798,f636])).
% 127.61/16.44 fof(f4890,plain,(
% 127.61/16.44 ![X0,X1]: (implies(and(X0,not(X1)),X1)=implies(X0,X1)|~spl0_83|~spl0_140|~spl0_143|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_134)),
% 127.61/16.44 inference(forward_demodulation,[status(thm)],[f4236,f4889])).
% 127.61/16.44 fof(f5003,plain,(
% 127.61/16.44 ![X0,X1]: (strict_implies(and(X0,not(X1)),X1)=necessarily(implies(X0,X1))|~spl0_168|~spl0_83|~spl0_140|~spl0_143|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_134)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f4890,f948])).
% 127.61/16.44 fof(f5004,plain,(
% 127.61/16.44 ![X0,X1]: (strict_implies(and(X0,not(X1)),X1)=strict_implies(X0,X1)|~spl0_168|~spl0_83|~spl0_140|~spl0_143|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_134)),
% 127.61/16.44 inference(forward_demodulation,[status(thm)],[f948,f5003])).
% 127.61/16.44 fof(f5016,plain,(
% 127.61/16.44 ![X0,X1]: (~is_a_theorem(implies(X0,not(X1)))|~is_a_theorem(or(X1,X0))|is_a_theorem(equiv(X0,not(X1)))|~spl0_98|~spl0_87|~spl0_83|~spl0_79)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f2386,f2191])).
% 127.61/16.44 fof(f5457,plain,(
% 127.61/16.44 ![X0,X1,X2]: (~is_a_theorem(and(strict_implies(X0,not(X1)),necessarily(or(X1,X2))))|is_a_theorem(strict_implies(X0,X2))|~spl0_146|~spl0_93|~spl0_168|~spl0_83|~spl0_79)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f2567,f4004])).
% 127.61/16.44 fof(f5458,plain,(
% 127.61/16.44 ![X0,X1,X2]: (~is_a_theorem(and(necessarily(or(X0,X1)),strict_implies(X2,not(X0))))|is_a_theorem(strict_implies(X2,X1))|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_146|~spl0_93|~spl0_168|~spl0_83|~spl0_79)),
% 127.61/16.44 inference(forward_demodulation,[status(thm)],[f4121,f5457])).
% 127.61/16.44 fof(f5979,plain,(
% 127.61/16.44 ![X0,X1,X2]: (implies(implies(not(X0),X1),X2)=implies(implies(not(X1),X0),X2)|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_79|~spl0_83)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f2429,f4234])).
% 127.61/16.44 fof(f5980,plain,(
% 127.61/16.44 ![X0,X1,X2]: (implies(or(X0,X1),X2)=implies(implies(not(X1),X0),X2)|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_79|~spl0_83)),
% 127.61/16.44 inference(forward_demodulation,[status(thm)],[f2386,f5979])).
% 127.61/16.44 fof(f5981,plain,(
% 127.61/16.44 ![X0,X1,X2]: (implies(or(X0,X1),X2)=implies(or(X1,X0),X2)|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_79|~spl0_83)),
% 127.61/16.44 inference(forward_demodulation,[status(thm)],[f2386,f5980])).
% 127.61/16.44 fof(f5983,plain,(
% 127.61/16.44 ![X0,X1,X2]: (or(X0,and(not(X1),X2))=implies(implies(X2,X1),X0)|~spl0_79|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_83)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f4311,f4234])).
% 127.61/16.44 fof(f6056,plain,(
% 127.61/16.44 ![X0,X1,X2]: (strict_implies(or(X0,X1),X2)=necessarily(implies(or(X1,X0),X2))|~spl0_168|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_79|~spl0_83)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f5981,f948])).
% 127.61/16.44 fof(f6057,plain,(
% 127.61/16.44 ![X0,X1,X2]: (strict_implies(or(X0,X1),X2)=strict_implies(or(X1,X0),X2)|~spl0_168|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_79|~spl0_83)),
% 127.61/16.44 inference(forward_demodulation,[status(thm)],[f948,f6056])).
% 127.61/16.44 fof(f6104,plain,(
% 127.61/16.44 ![X0,X1]: (is_a_theorem(strict_implies(or(X0,X1),or(X1,X0)))|~spl0_137|~spl0_143|~spl0_168|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_79|~spl0_83)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f6057,f4130])).
% 127.61/16.44 fof(f6136,plain,(
% 127.61/16.44 ![X0,X1]: (~is_a_theorem(or(X0,X1))|is_a_theorem(or(X1,X0))|~spl0_137|~spl0_143|~spl0_168|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_79|~spl0_83|~spl0_93)),
% 127.61/16.44 inference(resolution,[status(thm)],[f6104,f672])).
% 127.61/16.44 fof(f6226,plain,(
% 127.61/16.44 ![X0,X1]: (~is_a_theorem(strict_equiv(not(X0),X1))|is_a_theorem(necessarily(or(X1,X0)))|~spl0_137|~spl0_168|~spl0_79|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_83|~spl0_93)),
% 127.61/16.44 inference(resolution,[status(thm)],[f4357,f672])).
% 127.61/16.44 fof(f6622,plain,(
% 127.61/16.44 ![X0]: (~is_a_theorem(strict_implies(not(X0),not(X0)))|is_a_theorem(necessarily(or(not(X0),X0)))|~spl0_137|~spl0_168|~spl0_79|~spl0_134|~spl0_83|~spl0_93|~spl0_146|~spl0_98|~spl0_103|~spl0_143|~spl0_170)),
% 127.61/16.44 inference(paramodulation,[status(thm)],[f4114,f6226])).
% 127.61/16.45 fof(f6623,plain,(
% 127.61/16.45 ![X0]: (~is_a_theorem(necessarily(or(X0,not(X0))))|is_a_theorem(necessarily(or(not(X0),X0)))|~spl0_137|~spl0_168|~spl0_79|~spl0_134|~spl0_83|~spl0_93|~spl0_146|~spl0_98|~spl0_103|~spl0_143|~spl0_170)),
% 127.61/16.45 inference(forward_demodulation,[status(thm)],[f2567,f6622])).
% 127.61/16.45 fof(f6624,plain,(
% 127.61/16.45 ![X0]: (is_a_theorem(necessarily(or(not(X0),X0)))|~spl0_137|~spl0_168|~spl0_79|~spl0_134|~spl0_83|~spl0_93|~spl0_146|~spl0_98|~spl0_103|~spl0_143|~spl0_170)),
% 127.61/16.45 inference(forward_subsumption_resolution,[status(thm)],[f6623,f4126])).
% 127.61/16.45 fof(f10875,plain,(
% 127.61/16.45 ~is_a_theorem(implies(or(not(sk0_4),sk0_5),implies(sk0_4,sk0_5)))|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_83|~spl0_79|spl0_11),
% 127.61/16.45 inference(forward_demodulation,[status(thm)],[f5981,f3993])).
% 127.61/16.45 fof(f10929,plain,(
% 127.61/16.45 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(and(X0,strict_implies(and(X1,X2),X2)))|~spl0_137|~spl0_170|~spl0_103|~spl0_134|~spl0_98)),
% 127.61/16.45 inference(resolution,[status(thm)],[f4240,f691])).
% 127.61/16.45 fof(f10979,plain,(
% 127.61/16.45 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(and(X0,necessarily(or(not(X1),X1))))|~spl0_137|~spl0_168|~spl0_79|~spl0_134|~spl0_83|~spl0_93|~spl0_146|~spl0_103|~spl0_143|~spl0_170|~spl0_98)),
% 127.61/16.45 inference(resolution,[status(thm)],[f6624,f691])).
% 127.61/16.45 fof(f10980,plain,(
% 127.61/16.45 ![X0,X1]: (~is_a_theorem(strict_implies(necessarily(or(not(X0),X0)),X1))|is_a_theorem(X1)|~spl0_137|~spl0_168|~spl0_79|~spl0_134|~spl0_83|~spl0_146|~spl0_98|~spl0_103|~spl0_143|~spl0_170|~spl0_93)),
% 127.61/16.45 inference(resolution,[status(thm)],[f6624,f672])).
% 127.61/16.45 fof(f13304,plain,(
% 127.61/16.45 ![X0,X1,X2]: (~is_a_theorem(strict_implies(X0,and(X1,X2)))|is_a_theorem(strict_implies(X0,X2))|~spl0_137|~spl0_170|~spl0_103|~spl0_134|~spl0_98|~spl0_146|~spl0_93)),
% 127.61/16.45 inference(resolution,[status(thm)],[f10929,f4004])).
% 127.61/16.45 fof(f13306,plain,(
% 127.61/16.45 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(and(strict_implies(and(X1,X2),X2),X0))|~spl0_137|~spl0_170|~spl0_103|~spl0_98|~spl0_134|~spl0_93)),
% 127.61/16.45 inference(resolution,[status(thm)],[f10929,f1958])).
% 127.61/16.45 fof(f13655,plain,(
% 127.61/16.45 ![X0,X1,X2]: (~is_a_theorem(strict_implies(X0,and(X1,X2)))|is_a_theorem(strict_implies(X0,X1))|~spl0_146|~spl0_93|~spl0_140|~spl0_143|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_134)),
% 127.61/16.45 inference(paramodulation,[status(thm)],[f4798,f13304])).
% 127.61/16.45 fof(f13940,plain,(
% 127.61/16.45 ![X0,X1,X2]: (~is_a_theorem(strict_implies(X0,X1))|is_a_theorem(strict_implies(and(X2,X0),X1))|~spl0_137|~spl0_170|~spl0_103|~spl0_98|~spl0_134|~spl0_146|~spl0_93)),
% 127.61/16.45 inference(resolution,[status(thm)],[f13306,f4004])).
% 127.61/16.45 fof(f15470,plain,(
% 127.61/16.45 ![X0,X1]: (~is_a_theorem(strict_implies(not(X0),X0))|is_a_theorem(strict_implies(X1,X0))|~spl0_146|~spl0_93|~spl0_168|~spl0_83|~spl0_140|~spl0_143|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_134)),
% 127.61/16.45 inference(paramodulation,[status(thm)],[f5004,f13940])).
% 127.61/16.45 fof(f15471,plain,(
% 127.61/16.45 ![X0,X1]: (~is_a_theorem(necessarily(or(X0,X0)))|is_a_theorem(strict_implies(X1,X0))|~spl0_79|~spl0_146|~spl0_93|~spl0_168|~spl0_83|~spl0_140|~spl0_143|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_134)),
% 127.61/16.45 inference(forward_demodulation,[status(thm)],[f2567,f15470])).
% 127.61/16.45 fof(f15472,plain,(
% 127.61/16.45 ![X0,X1]: (~is_a_theorem(necessarily(not(not(X0))))|is_a_theorem(strict_implies(X1,X0))|~spl0_79|~spl0_146|~spl0_93|~spl0_168|~spl0_83|~spl0_140|~spl0_143|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_134)),
% 127.61/16.45 inference(forward_demodulation,[status(thm)],[f4142,f15471])).
% 127.61/16.45 fof(f19271,plain,(
% 127.61/16.45 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(and(necessarily(or(not(X1),X1)),X0))|~spl0_137|~spl0_168|~spl0_79|~spl0_83|~spl0_146|~spl0_103|~spl0_143|~spl0_170|~spl0_98|~spl0_134|~spl0_93)),
% 127.61/16.45 inference(resolution,[status(thm)],[f10979,f1958])).
% 127.61/16.45 fof(f20481,plain,(
% 127.61/16.45 ![X0,X1]: (~is_a_theorem(strict_implies(X0,not(not(X1))))|is_a_theorem(strict_implies(X0,X1))|~spl0_137|~spl0_143|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_146|~spl0_93|~spl0_168|~spl0_83|~spl0_79)),
% 127.61/16.45 inference(resolution,[status(thm)],[f19271,f5458])).
% 127.61/16.45 fof(f20625,plain,(
% 127.61/16.45 ![X0,X1]: (is_a_theorem(strict_implies(and(not(not(X0)),X1),X0))|~spl0_143|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_146|~spl0_93|~spl0_168|~spl0_83|~spl0_79|~spl0_137)),
% 127.61/16.45 inference(resolution,[status(thm)],[f20481,f835])).
% 127.61/16.45 fof(f20731,plain,(
% 127.61/16.45 ![X0,X1,X2]: (is_a_theorem(strict_implies(and(not(not(and(X0,X1))),X2),X0))|~spl0_168|~spl0_83|~spl0_79|~spl0_146|~spl0_93|~spl0_140|~spl0_143|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_134)),
% 127.61/16.45 inference(resolution,[status(thm)],[f20625,f13655])).
% 127.61/16.45 fof(f20988,plain,(
% 127.61/16.45 ![X0,X1,X2]: (is_a_theorem(strict_implies(and(not(not(and(not(not(X0)),X1))),X2),X0))|~spl0_140|~spl0_137|~spl0_143|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_146|~spl0_93|~spl0_168|~spl0_83|~spl0_79)),
% 127.61/16.45 inference(resolution,[status(thm)],[f20731,f20481])).
% 127.61/16.45 fof(f20989,plain,(
% 127.61/16.45 ![X0,X1,X2]: (is_a_theorem(strict_implies(and(not(implies(X0,not(X1))),X2),X1))|~spl0_140|~spl0_137|~spl0_143|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_146|~spl0_93|~spl0_168|~spl0_83|~spl0_79)),
% 127.61/16.45 inference(forward_demodulation,[status(thm)],[f4236,f20988])).
% 127.61/16.45 fof(f23505,plain,(
% 127.61/16.45 ![X0,X1]: (is_a_theorem(strict_implies(not(implies(X0,not(X1))),X1))|~spl0_146|~spl0_93|~spl0_79|~spl0_168|~spl0_83|~spl0_140|~spl0_143|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_134)),
% 127.61/16.45 inference(paramodulation,[status(thm)],[f5004,f20989])).
% 127.61/16.45 fof(f23506,plain,(
% 127.61/16.45 ![X0,X1]: (is_a_theorem(necessarily(or(implies(X0,not(X1)),X1)))|~spl0_146|~spl0_93|~spl0_79|~spl0_168|~spl0_83|~spl0_140|~spl0_143|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_134)),
% 127.61/16.45 inference(forward_demodulation,[status(thm)],[f2567,f23505])).
% 127.61/16.45 fof(f23581,plain,(
% 127.61/16.45 ![X0,X1]: (is_a_theorem(necessarily(or(X0,implies(X1,not(X0)))))|~spl0_146|~spl0_93|~spl0_168|~spl0_140|~spl0_143|~spl0_137|~spl0_79|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_83)),
% 127.61/16.45 inference(paramodulation,[status(thm)],[f4311,f23506])).
% 127.61/16.45 fof(f23591,plain,(
% 127.61/16.45 ![X0,X1]: (is_a_theorem(necessarily(or(or(X0,not(X1)),X1)))|~spl0_146|~spl0_93|~spl0_168|~spl0_140|~spl0_143|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_83|~spl0_79)),
% 127.61/16.45 inference(paramodulation,[status(thm)],[f2386,f23506])).
% 127.61/16.45 fof(f23938,plain,(
% 127.61/16.45 ![X0,X1]: (is_a_theorem(necessarily(or(X0,or(X1,not(X0)))))|~spl0_146|~spl0_93|~spl0_168|~spl0_140|~spl0_143|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_83|~spl0_79)),
% 127.61/16.45 inference(paramodulation,[status(thm)],[f2386,f23581])).
% 127.61/16.45 fof(f24008,plain,(
% 127.61/16.45 ![X0]: (is_a_theorem(necessarily(or(not(not(not(X0))),X0)))|~spl0_146|~spl0_93|~spl0_168|~spl0_140|~spl0_134|~spl0_79|~spl0_83|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_143)),
% 127.61/16.45 inference(paramodulation,[status(thm)],[f4142,f23591])).
% 127.61/16.45 fof(f24180,plain,(
% 127.61/16.45 ![X0]: (is_a_theorem(necessarily(or(X0,not(not(not(X0))))))|~spl0_146|~spl0_93|~spl0_168|~spl0_140|~spl0_134|~spl0_79|~spl0_83|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_143)),
% 127.61/16.45 inference(paramodulation,[status(thm)],[f4142,f23938])).
% 127.61/16.45 fof(f24608,plain,(
% 127.61/16.45 ![X0,X1]: (is_a_theorem(necessarily(implies(implies(X0,X1),not(not(not(and(not(X1),X0)))))))|~spl0_146|~spl0_93|~spl0_168|~spl0_140|~spl0_137|~spl0_143|~spl0_79|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_83)),
% 127.61/16.45 inference(paramodulation,[status(thm)],[f5983,f24008])).
% 127.61/16.45 fof(f24609,plain,(
% 127.61/16.45 ![X0,X1]: (is_a_theorem(strict_implies(implies(X0,X1),not(not(not(and(not(X1),X0))))))|~spl0_146|~spl0_93|~spl0_168|~spl0_140|~spl0_137|~spl0_143|~spl0_79|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_83)),
% 127.61/16.45 inference(forward_demodulation,[status(thm)],[f948,f24608])).
% 127.61/16.45 fof(f24610,plain,(
% 127.61/16.45 ![X0,X1]: (is_a_theorem(strict_implies(implies(X0,X1),not(not(implies(X0,X1)))))|~spl0_146|~spl0_93|~spl0_168|~spl0_140|~spl0_137|~spl0_143|~spl0_79|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_83)),
% 127.61/16.45 inference(forward_demodulation,[status(thm)],[f4236,f24609])).
% 127.61/16.45 fof(f30535,plain,(
% 127.61/16.45 ![X0,X1]: (~is_a_theorem(strict_implies(not(not(implies(X0,X1))),implies(X0,X1)))|not(not(implies(X0,X1)))=implies(X0,X1)|~spl0_146|~spl0_93|~spl0_168|~spl0_140|~spl0_137|~spl0_143|~spl0_79|~spl0_134|~spl0_83|~spl0_98|~spl0_170|~spl0_103)),
% 127.61/16.45 inference(resolution,[status(thm)],[f24610,f4105])).
% 127.61/16.45 fof(f30536,plain,(
% 127.61/16.45 ![X0,X1]: (~is_a_theorem(necessarily(or(not(implies(X0,X1)),implies(X0,X1))))|not(not(implies(X0,X1)))=implies(X0,X1)|~spl0_146|~spl0_93|~spl0_168|~spl0_140|~spl0_137|~spl0_143|~spl0_79|~spl0_134|~spl0_83|~spl0_98|~spl0_170|~spl0_103)),
% 127.61/16.45 inference(forward_demodulation,[status(thm)],[f2567,f30535])).
% 127.61/16.45 fof(f30537,plain,(
% 127.61/16.45 ![X0,X1]: (~is_a_theorem(necessarily(or(implies(X0,X1),not(implies(X0,X1)))))|not(not(implies(X0,X1)))=implies(X0,X1)|~spl0_146|~spl0_93|~spl0_168|~spl0_140|~spl0_137|~spl0_143|~spl0_79|~spl0_134|~spl0_83|~spl0_98|~spl0_170|~spl0_103)),
% 127.61/16.45 inference(forward_demodulation,[status(thm)],[f4311,f30536])).
% 127.61/16.45 fof(f30538,plain,(
% 127.61/16.45 ![X0,X1]: (not(not(implies(X0,X1)))=implies(X0,X1)|~spl0_146|~spl0_93|~spl0_168|~spl0_140|~spl0_137|~spl0_143|~spl0_79|~spl0_134|~spl0_83|~spl0_98|~spl0_170|~spl0_103)),
% 127.61/16.45 inference(forward_subsumption_resolution,[status(thm)],[f30537,f4126])).
% 127.61/16.45 fof(f30670,plain,(
% 127.61/16.45 ![X0,X1,X2]: (~is_a_theorem(necessarily(implies(X0,X1)))|is_a_theorem(strict_implies(X2,implies(X0,X1)))|~spl0_146|~spl0_93|~spl0_168|~spl0_140|~spl0_137|~spl0_143|~spl0_79|~spl0_134|~spl0_83|~spl0_98|~spl0_170|~spl0_103)),
% 127.61/16.45 inference(paramodulation,[status(thm)],[f30538,f15472])).
% 127.61/16.45 fof(f30671,plain,(
% 127.61/16.45 ![X0,X1,X2]: (~is_a_theorem(strict_implies(X0,X1))|is_a_theorem(strict_implies(X2,implies(X0,X1)))|~spl0_146|~spl0_93|~spl0_168|~spl0_140|~spl0_137|~spl0_143|~spl0_79|~spl0_134|~spl0_83|~spl0_98|~spl0_170|~spl0_103)),
% 127.61/16.45 inference(forward_demodulation,[status(thm)],[f948,f30670])).
% 127.61/16.45 fof(f32352,plain,(
% 127.61/16.45 ![X0,X1]: (~is_a_theorem(strict_implies(X0,X1))|is_a_theorem(implies(X0,X1))|~spl0_140|~spl0_137|~spl0_168|~spl0_79|~spl0_134|~spl0_83|~spl0_146|~spl0_98|~spl0_103|~spl0_143|~spl0_170|~spl0_93)),
% 127.61/16.45 inference(resolution,[status(thm)],[f30671,f10980])).
% 127.61/16.45 fof(f32525,plain,(
% 127.61/16.45 ![X0,X1]: (is_a_theorem(implies(and(X0,X1),X0))|~spl0_140|~spl0_168|~spl0_79|~spl0_134|~spl0_83|~spl0_146|~spl0_98|~spl0_103|~spl0_143|~spl0_170|~spl0_93|~spl0_137)),
% 127.61/16.45 inference(resolution,[status(thm)],[f32352,f835])).
% 127.61/16.45 fof(f32526,plain,(
% 127.61/16.45 spl0_22|~spl0_140|~spl0_168|~spl0_79|~spl0_134|~spl0_83|~spl0_146|~spl0_98|~spl0_103|~spl0_143|~spl0_170|~spl0_93|~spl0_137),
% 127.61/16.45 inference(split_clause,[status(thm)],[f32525,f410,f845,f947,f621,f823,f635,f867,f690,f709,f856,f954,f671,f834])).
% 127.61/16.45 fof(f32531,plain,(
% 127.61/16.45 ![X0]: (is_a_theorem(implies(X0,X0))|~spl0_140|~spl0_168|~spl0_79|~spl0_134|~spl0_83|~spl0_146|~spl0_93|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_143)),
% 127.61/16.45 inference(resolution,[status(thm)],[f32352,f4130])).
% 127.61/16.45 fof(f32544,plain,(
% 127.61/16.45 ![X0,X1]: (~is_a_theorem(necessarily(or(X0,X1)))|is_a_theorem(implies(not(X0),X1))|~spl0_140|~spl0_137|~spl0_134|~spl0_146|~spl0_98|~spl0_103|~spl0_143|~spl0_170|~spl0_93|~spl0_168|~spl0_83|~spl0_79)),
% 127.61/16.45 inference(paramodulation,[status(thm)],[f2567,f32352])).
% 127.61/16.45 fof(f32545,plain,(
% 127.61/16.45 ![X0,X1]: (~is_a_theorem(necessarily(or(X0,X1)))|is_a_theorem(or(X0,X1))|~spl0_140|~spl0_137|~spl0_134|~spl0_146|~spl0_98|~spl0_103|~spl0_143|~spl0_170|~spl0_93|~spl0_168|~spl0_83|~spl0_79)),
% 127.61/16.45 inference(forward_demodulation,[status(thm)],[f2386,f32544])).
% 127.61/16.45 fof(f32565,plain,(
% 127.61/16.45 ![X0]: (is_a_theorem(or(X0,not(X0)))|~spl0_140|~spl0_168|~spl0_134|~spl0_146|~spl0_93|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_143|~spl0_83|~spl0_79)),
% 127.61/16.45 inference(paramodulation,[status(thm)],[f2386,f32531])).
% 127.61/16.45 fof(f32620,plain,(
% 127.61/16.45 ![X0]: (is_a_theorem(or(not(X0),X0))|~spl0_140|~spl0_146|~spl0_137|~spl0_143|~spl0_168|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_79|~spl0_83|~spl0_93)),
% 127.61/16.45 inference(resolution,[status(thm)],[f32565,f6136])).
% 127.61/16.45 fof(f32688,plain,(
% 127.61/16.45 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(and(X0,or(not(X1),X1)))|~spl0_140|~spl0_146|~spl0_137|~spl0_143|~spl0_168|~spl0_170|~spl0_103|~spl0_134|~spl0_79|~spl0_83|~spl0_93|~spl0_98)),
% 127.61/16.45 inference(resolution,[status(thm)],[f32620,f691])).
% 127.61/16.45 fof(f40223,plain,(
% 127.61/16.45 ![X0]: (is_a_theorem(or(X0,not(not(not(X0)))))|~spl0_146|~spl0_93|~spl0_168|~spl0_140|~spl0_134|~spl0_79|~spl0_83|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_143)),
% 127.61/16.45 inference(resolution,[status(thm)],[f32545,f24180])).
% 127.61/16.45 fof(f42345,plain,(
% 127.61/16.45 ![X0]: (~is_a_theorem(implies(not(not(not(X0))),not(X0)))|is_a_theorem(equiv(not(not(not(X0))),not(X0)))|~spl0_146|~spl0_93|~spl0_168|~spl0_140|~spl0_134|~spl0_137|~spl0_170|~spl0_103|~spl0_143|~spl0_98|~spl0_87|~spl0_83|~spl0_79)),
% 127.61/16.45 inference(resolution,[status(thm)],[f40223,f5016])).
% 127.61/16.45 fof(f42346,plain,(
% 127.61/16.45 ![X0]: (~is_a_theorem(or(not(not(X0)),not(X0)))|is_a_theorem(equiv(not(not(not(X0))),not(X0)))|~spl0_146|~spl0_93|~spl0_168|~spl0_140|~spl0_134|~spl0_137|~spl0_170|~spl0_103|~spl0_143|~spl0_98|~spl0_87|~spl0_83|~spl0_79)),
% 127.61/16.45 inference(forward_demodulation,[status(thm)],[f2386,f42345])).
% 127.61/16.45 fof(f42347,plain,(
% 127.61/16.45 ![X0]: (is_a_theorem(equiv(not(not(not(X0))),not(X0)))|~spl0_146|~spl0_93|~spl0_168|~spl0_140|~spl0_134|~spl0_137|~spl0_170|~spl0_103|~spl0_143|~spl0_98|~spl0_87|~spl0_83|~spl0_79)),
% 127.61/16.45 inference(forward_subsumption_resolution,[status(thm)],[f42346,f32620])).
% 127.61/16.45 fof(f48628,plain,(
% 127.61/16.45 ![X0]: (not(not(not(X0)))=not(X0)|~spl0_146|~spl0_93|~spl0_168|~spl0_140|~spl0_134|~spl0_137|~spl0_170|~spl0_103|~spl0_143|~spl0_98|~spl0_87|~spl0_83|~spl0_79|~spl0_6)),
% 127.61/16.45 inference(resolution,[status(thm)],[f42347,f352])).
% 127.61/16.45 fof(f49398,plain,(
% 127.61/16.45 ![X0,X1]: (implies(X0,not(not(X1)))=not(and(not(X1),X0))|~spl0_146|~spl0_93|~spl0_168|~spl0_140|~spl0_134|~spl0_137|~spl0_170|~spl0_103|~spl0_143|~spl0_98|~spl0_87|~spl0_83|~spl0_79|~spl0_6)),
% 127.61/16.45 inference(paramodulation,[status(thm)],[f48628,f4236])).
% 127.61/16.45 fof(f49399,plain,(
% 127.61/16.45 ![X0,X1]: (implies(X0,not(not(X1)))=implies(X0,X1)|~spl0_146|~spl0_93|~spl0_168|~spl0_140|~spl0_134|~spl0_137|~spl0_170|~spl0_103|~spl0_143|~spl0_98|~spl0_87|~spl0_83|~spl0_79|~spl0_6)),
% 127.61/16.45 inference(forward_demodulation,[status(thm)],[f4236,f49398])).
% 127.61/16.45 fof(f66068,plain,(
% 127.61/16.45 ![X0]: (is_a_theorem(implies(X0,X0))|~spl0_22|~spl0_137|~spl0_98|~spl0_170|~spl0_103|~spl0_143)),
% 127.61/16.45 inference(paramodulation,[status(thm)],[f4124,f411])).
% 127.61/16.45 fof(f82212,plain,(
% 127.61/16.45 ![X0]: (~is_a_theorem(implies(X0,not(not(X0))))|is_a_theorem(equiv(X0,not(not(X0))))|~spl0_140|~spl0_146|~spl0_137|~spl0_143|~spl0_168|~spl0_170|~spl0_103|~spl0_134|~spl0_93|~spl0_98|~spl0_87|~spl0_83|~spl0_79)),
% 127.61/16.45 inference(paramodulation,[status(thm)],[f2532,f32688])).
% 127.61/16.45 fof(f82213,plain,(
% 127.61/16.45 ![X0]: (~is_a_theorem(implies(X0,X0))|is_a_theorem(equiv(X0,not(not(X0))))|~spl0_6|~spl0_140|~spl0_146|~spl0_137|~spl0_143|~spl0_168|~spl0_170|~spl0_103|~spl0_134|~spl0_93|~spl0_98|~spl0_87|~spl0_83|~spl0_79)),
% 127.61/16.45 inference(forward_demodulation,[status(thm)],[f49399,f82212])).
% 127.61/16.45 fof(f82214,plain,(
% 127.61/16.45 ![X0]: (is_a_theorem(equiv(X0,not(not(X0))))|~spl0_22|~spl0_6|~spl0_140|~spl0_146|~spl0_137|~spl0_143|~spl0_168|~spl0_170|~spl0_103|~spl0_134|~spl0_93|~spl0_98|~spl0_87|~spl0_83|~spl0_79)),
% 127.61/16.45 inference(forward_subsumption_resolution,[status(thm)],[f82213,f66068])).
% 127.61/16.45 fof(f82280,plain,(
% 127.61/16.45 ![X0]: (X0=not(not(X0))|~spl0_22|~spl0_140|~spl0_146|~spl0_137|~spl0_143|~spl0_168|~spl0_170|~spl0_103|~spl0_134|~spl0_93|~spl0_98|~spl0_87|~spl0_83|~spl0_79|~spl0_6)),
% 127.61/16.45 inference(resolution,[status(thm)],[f82214,f352])).
% 127.61/16.45 fof(f82511,plain,(
% 127.61/16.45 ![X0,X1]: (or(not(X0),X1)=implies(X0,X1)|~spl0_22|~spl0_140|~spl0_146|~spl0_137|~spl0_143|~spl0_168|~spl0_170|~spl0_103|~spl0_134|~spl0_93|~spl0_98|~spl0_87|~spl0_83|~spl0_79|~spl0_6)),
% 127.61/16.45 inference(paramodulation,[status(thm)],[f82280,f2386])).
% 127.61/16.45 fof(f82879,plain,(
% 127.61/16.45 ~is_a_theorem(implies(implies(sk0_4,sk0_5),implies(sk0_4,sk0_5)))|~spl0_22|~spl0_140|~spl0_146|~spl0_137|~spl0_143|~spl0_168|~spl0_93|~spl0_87|~spl0_6|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_83|~spl0_79|spl0_11),
% 127.61/16.45 inference(backward_demodulation,[status(thm)],[f82511,f10875])).
% 127.61/16.45 fof(f82880,plain,(
% 127.61/16.45 $false|~spl0_22|~spl0_140|~spl0_146|~spl0_137|~spl0_143|~spl0_168|~spl0_93|~spl0_87|~spl0_6|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_83|~spl0_79|spl0_11),
% 127.61/16.45 inference(forward_subsumption_resolution,[status(thm)],[f82879,f66068])).
% 127.61/16.45 fof(f82881,plain,(
% 127.61/16.45 ~spl0_22|~spl0_140|~spl0_146|~spl0_137|~spl0_143|~spl0_168|~spl0_93|~spl0_87|~spl0_6|~spl0_98|~spl0_170|~spl0_103|~spl0_134|~spl0_83|~spl0_79|spl0_11),
% 127.61/16.45 inference(contradiction_clause,[status(thm)],[f82880])).
% 127.61/16.45 fof(f83114,plain,(
% 127.61/16.45 $false|~spl0_9),
% 127.61/16.45 inference(forward_subsumption_resolution,[status(thm)],[f364,f328])).
% 127.61/16.45 fof(f83115,plain,(
% 127.61/16.45 ~spl0_9),
% 127.61/16.45 inference(contradiction_clause,[status(thm)],[f83114])).
% 127.61/16.45 fof(f83116,plain,(
% 127.61/16.45 $false),
% 127.61/16.45 inference(sat_refutation,[status(thm)],[f354,f373,f624,f638,f652,f674,f693,f712,f826,f837,f848,f859,f870,f950,f957,f959,f961,f963,f965,f967,f969,f973,f975,f977,f992,f996,f1215,f4003,f4021,f32526,f82881,f83115])).
% 129.66/16.70 % SZS output end CNFRefutation for theBenchmark.p
% 133.95/17.81 % Elapsed time: 17.233019 seconds
% 133.95/17.81 % CPU time: 123.454349 seconds
% 133.95/17.81 % Total memory used: 1.567 GB
% 133.95/17.81 % Net memory used: 1.491 GB
%------------------------------------------------------------------------------