%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL461+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:10:07 PM UTC 2026
% Result : Theorem 131.11s 17.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL461+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.53 % Computer : n004.cluster.edu
% 0.09/0.53 % Model : x86_64 x86_64
% 0.09/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.53 % Memory : 8046.5625MB
% 0.09/0.53 % OS : Linux 6.8.0-71-generic
% 0.09/0.53 % CPULimit : 300
% 0.09/0.53 % WCLimit : 300
% 0.09/0.53 % DateTime : Mon Sep 21 00:33:37 UTC 2026
% 0.09/0.53 % CPUTime :
% 0.09/0.54 % Drodi V4.1.1
% 131.11/17.47 % Refutation found
% 131.11/17.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 131.11/17.47 % SZS output start CNFRefutation for theBenchmark
% 131.11/17.47 fof(f1,axiom,(
% 131.11/17.47 ( modus_ponens<=> (! [X,Y] :( ( is_a_theorem(X)& is_a_theorem(implies(X,Y)) )=> is_a_theorem(Y) ) )) ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f2,axiom,(
% 131.11/17.47 ( substitution_of_equivalents<=> (! [X,Y] :( is_a_theorem(equiv(X,Y))=> X = Y ) )) ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f4,axiom,(
% 131.11/17.47 ( implies_1<=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,X))) )) ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f5,axiom,(
% 131.11/17.47 ( implies_2<=> (! [X,Y] : is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))) )) ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f6,axiom,(
% 131.11/17.47 ( implies_3<=> (! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) )) ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f8,axiom,(
% 131.11/17.47 ( and_2<=> (! [X,Y] : is_a_theorem(implies(and(X,Y),Y)) )) ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f9,axiom,(
% 131.11/17.47 ( and_3<=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,and(X,Y)))) )) ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f10,axiom,(
% 131.11/17.47 ( or_1<=> (! [X,Y] : is_a_theorem(implies(X,or(X,Y))) )) ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f11,axiom,(
% 131.11/17.47 ( or_2<=> (! [X,Y] : is_a_theorem(implies(Y,or(X,Y))) )) ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f12,axiom,(
% 131.11/17.47 ( or_3<=> (! [X,Y,Z] : is_a_theorem(implies(implies(X,Z),implies(implies(Y,Z),implies(or(X,Y),Z)))) )) ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f15,axiom,(
% 131.11/17.47 ( equivalence_3<=> (! [X,Y] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,X),equiv(X,Y)))) )) ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f18,axiom,(
% 131.11/17.47 ( kn3<=> (! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P))))) )) ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f21,axiom,(
% 131.11/17.47 ( cn3<=> (! [P] : is_a_theorem(implies(implies(not(P),P),P)) )) ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f24,axiom,(
% 131.11/17.47 ( r3<=> (! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))) )) ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f27,axiom,(
% 131.11/17.47 ( op_or=> (! [X,Y] : or(X,Y) = not(and(not(X),not(Y))) )) ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f29,axiom,(
% 131.11/17.47 ( op_implies_and=> (! [X,Y] : implies(X,Y) = not(and(X,not(Y))) )) ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f32,axiom,(
% 131.11/17.47 op_or ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f33,axiom,(
% 131.11/17.47 op_implies_and ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f35,axiom,(
% 131.11/17.47 modus_ponens ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f37,axiom,(
% 131.11/17.47 implies_1 ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f38,axiom,(
% 131.11/17.47 implies_2 ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f39,axiom,(
% 131.11/17.47 implies_3 ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f41,axiom,(
% 131.11/17.47 and_2 ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f42,axiom,(
% 131.11/17.47 and_3 ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f43,axiom,(
% 131.11/17.47 or_1 ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f44,axiom,(
% 131.11/17.47 or_2 ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f45,axiom,(
% 131.11/17.47 or_3 ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f48,axiom,(
% 131.11/17.47 equivalence_3 ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f49,axiom,(
% 131.11/17.47 substitution_of_equivalents ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f53,conjecture,(
% 131.11/17.47 kn3 ),
% 131.11/17.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 131.11/17.47 fof(f54,negated_conjecture,(
% 131.11/17.47 ~(kn3 )),
% 131.11/17.47 inference(negated_conjecture,[status(cth)],[f53])).
% 131.11/17.47 fof(f55,plain,(
% 131.11/17.47 modus_ponens<=>(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(implies(X,Y)))|is_a_theorem(Y)))),
% 131.11/17.47 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 131.11/17.47 fof(f56,plain,(
% 131.11/17.47 (~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))))),
% 131.11/17.47 inference(NNF_transformation,[status(thm)],[f55])).
% 131.11/17.47 fof(f57,plain,(
% 131.11/17.47 (~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))))),
% 131.11/17.47 inference(miniscoping,[status(thm)],[f56])).
% 131.11/17.47 fof(f58,plain,(
% 131.11/17.47 (~modus_ponens|(![Y]: ((![X]: (~is_a_theorem(X)|~is_a_theorem(implies(X,Y))))|is_a_theorem(Y))))&(modus_ponens|((is_a_theorem(sK1_skl)&is_a_theorem(implies(sK1_skl,sK0_skl)))&~is_a_theorem(sK0_skl)))),
% 131.11/17.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl),skolemize(X,sK1_skl)],[f57])).
% 131.11/17.47 fof(f59,plain,(
% 131.11/17.47 ![X0,X1]: (~modus_ponens|~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1))),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f58])).
% 131.11/17.47 fof(f63,plain,(
% 131.11/17.47 substitution_of_equivalents<=>(![X,Y]: (~is_a_theorem(equiv(X,Y))|X=Y))),
% 131.11/17.47 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 131.11/17.47 fof(f64,plain,(
% 131.11/17.47 (~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)))),
% 131.11/17.47 inference(NNF_transformation,[status(thm)],[f63])).
% 131.11/17.47 fof(f65,plain,(
% 131.11/17.47 (~substitution_of_equivalents|(![X,Y]: (~is_a_theorem(equiv(X,Y))|X=Y)))&(substitution_of_equivalents|(is_a_theorem(equiv(sK2_skl,sK3_skl))&~sK2_skl=sK3_skl))),
% 131.11/17.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(X,sK2_skl),skolemize(Y,sK3_skl)],[f64])).
% 131.11/17.47 fof(f66,plain,(
% 131.11/17.47 ![X0,X1]: (~substitution_of_equivalents|~is_a_theorem(equiv(X0,X1))|X0=X1)),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f65])).
% 131.11/17.47 fof(f73,plain,(
% 131.11/17.47 (~implies_1|(![X,Y]: is_a_theorem(implies(X,implies(Y,X)))))&(implies_1|(?[X,Y]: ~is_a_theorem(implies(X,implies(Y,X)))))),
% 131.11/17.47 inference(NNF_transformation,[status(thm)],[f4])).
% 131.11/17.47 fof(f74,plain,(
% 131.11/17.47 (~implies_1|(![X,Y]: is_a_theorem(implies(X,implies(Y,X)))))&(implies_1|~is_a_theorem(implies(sK6_skl,implies(sK7_skl,sK6_skl))))),
% 131.11/17.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl]),skolemize(X,sK6_skl),skolemize(Y,sK7_skl)],[f73])).
% 131.11/17.47 fof(f75,plain,(
% 131.11/17.47 ![X0,X1]: (~implies_1|is_a_theorem(implies(X0,implies(X1,X0))))),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f74])).
% 131.11/17.47 fof(f77,plain,(
% 131.11/17.47 (~implies_2|(![X,Y]: is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y)))))&(implies_2|(?[X,Y]: ~is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y)))))),
% 131.11/17.47 inference(NNF_transformation,[status(thm)],[f5])).
% 131.11/17.47 fof(f78,plain,(
% 131.11/17.47 (~implies_2|(![X,Y]: is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y)))))&(implies_2|~is_a_theorem(implies(implies(sK8_skl,implies(sK8_skl,sK9_skl)),implies(sK8_skl,sK9_skl))))),
% 131.11/17.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl]),skolemize(X,sK8_skl),skolemize(Y,sK9_skl)],[f77])).
% 131.11/17.47 fof(f79,plain,(
% 131.11/17.47 ![X0,X1]: (~implies_2|is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))))),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f78])).
% 131.11/17.47 fof(f81,plain,(
% 131.11/17.47 (~implies_3|(![X,Y,Z]: is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))))&(implies_3|(?[X,Y,Z]: ~is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))))),
% 131.11/17.47 inference(NNF_transformation,[status(thm)],[f6])).
% 131.11/17.47 fof(f82,plain,(
% 131.11/17.47 (~implies_3|(![X,Y,Z]: is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))))&(implies_3|~is_a_theorem(implies(implies(sK10_skl,sK11_skl),implies(implies(sK11_skl,sK12_skl),implies(sK10_skl,sK12_skl)))))),
% 131.11/17.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl,sK11_skl,sK12_skl]),skolemize(X,sK10_skl),skolemize(Y,sK11_skl),skolemize(Z,sK12_skl)],[f81])).
% 131.11/17.47 fof(f83,plain,(
% 131.11/17.47 ![X0,X1,X2]: (~implies_3|is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f82])).
% 131.11/17.47 fof(f89,plain,(
% 131.11/17.47 (~and_2|(![X,Y]: is_a_theorem(implies(and(X,Y),Y))))&(and_2|(?[X,Y]: ~is_a_theorem(implies(and(X,Y),Y))))),
% 131.11/17.47 inference(NNF_transformation,[status(thm)],[f8])).
% 131.11/17.47 fof(f90,plain,(
% 131.11/17.47 (~and_2|(![X,Y]: is_a_theorem(implies(and(X,Y),Y))))&(and_2|~is_a_theorem(implies(and(sK15_skl,sK16_skl),sK16_skl)))),
% 131.11/17.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl,sK16_skl]),skolemize(X,sK15_skl),skolemize(Y,sK16_skl)],[f89])).
% 131.11/17.47 fof(f91,plain,(
% 131.11/17.47 ![X0,X1]: (~and_2|is_a_theorem(implies(and(X0,X1),X1)))),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f90])).
% 131.11/17.47 fof(f93,plain,(
% 131.11/17.47 (~and_3|(![X,Y]: is_a_theorem(implies(X,implies(Y,and(X,Y))))))&(and_3|(?[X,Y]: ~is_a_theorem(implies(X,implies(Y,and(X,Y))))))),
% 131.11/17.47 inference(NNF_transformation,[status(thm)],[f9])).
% 131.11/17.47 fof(f94,plain,(
% 131.11/17.47 (~and_3|(![X,Y]: is_a_theorem(implies(X,implies(Y,and(X,Y))))))&(and_3|~is_a_theorem(implies(sK17_skl,implies(sK18_skl,and(sK17_skl,sK18_skl)))))),
% 131.11/17.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl,sK18_skl]),skolemize(X,sK17_skl),skolemize(Y,sK18_skl)],[f93])).
% 131.11/17.47 fof(f95,plain,(
% 131.11/17.47 ![X0,X1]: (~and_3|is_a_theorem(implies(X0,implies(X1,and(X0,X1)))))),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f94])).
% 131.11/17.47 fof(f97,plain,(
% 131.11/17.47 (~or_1|(![X,Y]: is_a_theorem(implies(X,or(X,Y)))))&(or_1|(?[X,Y]: ~is_a_theorem(implies(X,or(X,Y)))))),
% 131.11/17.47 inference(NNF_transformation,[status(thm)],[f10])).
% 131.11/17.47 fof(f98,plain,(
% 131.11/17.47 (~or_1|(![X,Y]: is_a_theorem(implies(X,or(X,Y)))))&(or_1|~is_a_theorem(implies(sK19_skl,or(sK19_skl,sK20_skl))))),
% 131.11/17.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK19_skl,sK20_skl]),skolemize(X,sK19_skl),skolemize(Y,sK20_skl)],[f97])).
% 131.11/17.47 fof(f99,plain,(
% 131.11/17.47 ![X0,X1]: (~or_1|is_a_theorem(implies(X0,or(X0,X1))))),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f98])).
% 131.11/17.47 fof(f101,plain,(
% 131.11/17.47 (~or_2|(![X,Y]: is_a_theorem(implies(Y,or(X,Y)))))&(or_2|(?[X,Y]: ~is_a_theorem(implies(Y,or(X,Y)))))),
% 131.11/17.47 inference(NNF_transformation,[status(thm)],[f11])).
% 131.11/17.47 fof(f102,plain,(
% 131.11/17.47 (~or_2|(![X,Y]: is_a_theorem(implies(Y,or(X,Y)))))&(or_2|~is_a_theorem(implies(sK22_skl,or(sK21_skl,sK22_skl))))),
% 131.11/17.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl,sK22_skl]),skolemize(X,sK21_skl),skolemize(Y,sK22_skl)],[f101])).
% 131.11/17.47 fof(f103,plain,(
% 131.11/17.47 ![X0,X1]: (~or_2|is_a_theorem(implies(X0,or(X1,X0))))),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f102])).
% 131.11/17.47 fof(f105,plain,(
% 131.11/17.47 (~or_3|(![X,Y,Z]: is_a_theorem(implies(implies(X,Z),implies(implies(Y,Z),implies(or(X,Y),Z))))))&(or_3|(?[X,Y,Z]: ~is_a_theorem(implies(implies(X,Z),implies(implies(Y,Z),implies(or(X,Y),Z))))))),
% 131.11/17.47 inference(NNF_transformation,[status(thm)],[f12])).
% 131.11/17.47 fof(f106,plain,(
% 131.11/17.47 (~or_3|(![X,Y,Z]: is_a_theorem(implies(implies(X,Z),implies(implies(Y,Z),implies(or(X,Y),Z))))))&(or_3|~is_a_theorem(implies(implies(sK23_skl,sK25_skl),implies(implies(sK24_skl,sK25_skl),implies(or(sK23_skl,sK24_skl),sK25_skl)))))),
% 131.11/17.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl,sK25_skl]),skolemize(X,sK23_skl),skolemize(Y,sK24_skl),skolemize(Z,sK25_skl)],[f105])).
% 131.11/17.47 fof(f107,plain,(
% 131.11/17.47 ![X0,X1,X2]: (~or_3|is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1)))))),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f106])).
% 131.11/17.47 fof(f117,plain,(
% 131.11/17.47 (~equivalence_3|(![X,Y]: is_a_theorem(implies(implies(X,Y),implies(implies(Y,X),equiv(X,Y))))))&(equivalence_3|(?[X,Y]: ~is_a_theorem(implies(implies(X,Y),implies(implies(Y,X),equiv(X,Y))))))),
% 131.11/17.47 inference(NNF_transformation,[status(thm)],[f15])).
% 131.11/17.47 fof(f118,plain,(
% 131.11/17.47 (~equivalence_3|(![X,Y]: is_a_theorem(implies(implies(X,Y),implies(implies(Y,X),equiv(X,Y))))))&(equivalence_3|~is_a_theorem(implies(implies(sK30_skl,sK31_skl),implies(implies(sK31_skl,sK30_skl),equiv(sK30_skl,sK31_skl)))))),
% 131.11/17.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK30_skl,sK31_skl]),skolemize(X,sK30_skl),skolemize(Y,sK31_skl)],[f117])).
% 131.11/17.47 fof(f119,plain,(
% 131.11/17.47 ![X0,X1]: (~equivalence_3|is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))))),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f118])).
% 131.11/17.47 fof(f129,plain,(
% 131.11/17.47 (~kn3|(![P,Q,R]: is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P)))))))&(kn3|(?[P,Q,R]: ~is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P)))))))),
% 131.11/17.47 inference(NNF_transformation,[status(thm)],[f18])).
% 131.11/17.47 fof(f130,plain,(
% 131.11/17.47 (~kn3|(![P,Q,R]: is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P)))))))&(kn3|~is_a_theorem(implies(implies(sK35_skl,sK36_skl),implies(not(and(sK36_skl,sK37_skl)),not(and(sK37_skl,sK35_skl))))))),
% 131.11/17.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK35_skl,sK36_skl,sK37_skl]),skolemize(P,sK35_skl),skolemize(Q,sK36_skl),skolemize(R,sK37_skl)],[f129])).
% 131.11/17.47 fof(f132,plain,(
% 131.11/17.47 kn3|~is_a_theorem(implies(implies(sK35_skl,sK36_skl),implies(not(and(sK36_skl,sK37_skl)),not(and(sK37_skl,sK35_skl)))))),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f130])).
% 131.11/17.47 fof(f141,plain,(
% 131.11/17.47 (~cn3|(![P]: is_a_theorem(implies(implies(not(P),P),P))))&(cn3|(?[P]: ~is_a_theorem(implies(implies(not(P),P),P))))),
% 131.11/17.47 inference(NNF_transformation,[status(thm)],[f21])).
% 131.11/17.47 fof(f142,plain,(
% 131.11/17.47 (~cn3|(![P]: is_a_theorem(implies(implies(not(P),P),P))))&(cn3|~is_a_theorem(implies(implies(not(sK43_skl),sK43_skl),sK43_skl)))),
% 131.11/17.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK43_skl]),skolemize(P,sK43_skl)],[f141])).
% 131.11/17.47 fof(f143,plain,(
% 131.11/17.47 ![X0]: (~cn3|is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f142])).
% 131.11/17.47 fof(f144,plain,(
% 131.11/17.47 cn3|~is_a_theorem(implies(implies(not(sK43_skl),sK43_skl),sK43_skl))),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f142])).
% 131.11/17.47 fof(f153,plain,(
% 131.11/17.47 (~r3|(![P,Q]: is_a_theorem(implies(or(P,Q),or(Q,P)))))&(r3|(?[P,Q]: ~is_a_theorem(implies(or(P,Q),or(Q,P)))))),
% 131.11/17.47 inference(NNF_transformation,[status(thm)],[f24])).
% 131.11/17.47 fof(f154,plain,(
% 131.11/17.47 (~r3|(![P,Q]: is_a_theorem(implies(or(P,Q),or(Q,P)))))&(r3|~is_a_theorem(implies(or(sK47_skl,sK48_skl),or(sK48_skl,sK47_skl))))),
% 131.11/17.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl]),skolemize(P,sK47_skl),skolemize(Q,sK48_skl)],[f153])).
% 131.11/17.47 fof(f155,plain,(
% 131.11/17.47 ![X0,X1]: (~r3|is_a_theorem(implies(or(X0,X1),or(X1,X0))))),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f154])).
% 131.11/17.47 fof(f156,plain,(
% 131.11/17.47 r3|~is_a_theorem(implies(or(sK47_skl,sK48_skl),or(sK48_skl,sK47_skl)))),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f154])).
% 131.11/17.47 fof(f165,plain,(
% 131.11/17.47 ~op_or|(![X,Y]: or(X,Y)=not(and(not(X),not(Y))))),
% 131.11/17.47 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 131.11/17.47 fof(f166,plain,(
% 131.11/17.47 ![X0,X1]: (~op_or|or(X0,X1)=not(and(not(X0),not(X1))))),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f165])).
% 131.11/17.47 fof(f169,plain,(
% 131.11/17.47 ~op_implies_and|(![X,Y]: implies(X,Y)=not(and(X,not(Y))))),
% 131.11/17.47 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 131.11/17.47 fof(f170,plain,(
% 131.11/17.47 ![X0,X1]: (~op_implies_and|implies(X0,X1)=not(and(X0,not(X1))))),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f169])).
% 131.11/17.47 fof(f175,plain,(
% 131.11/17.47 op_or),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f32])).
% 131.11/17.47 fof(f176,plain,(
% 131.11/17.47 op_implies_and),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f33])).
% 131.11/17.47 fof(f178,plain,(
% 131.11/17.47 modus_ponens),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f35])).
% 131.11/17.47 fof(f180,plain,(
% 131.11/17.47 implies_1),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f37])).
% 131.11/17.47 fof(f181,plain,(
% 131.11/17.47 implies_2),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f38])).
% 131.11/17.47 fof(f182,plain,(
% 131.11/17.47 implies_3),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f39])).
% 131.11/17.47 fof(f184,plain,(
% 131.11/17.47 and_2),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f41])).
% 131.11/17.47 fof(f185,plain,(
% 131.11/17.47 and_3),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f42])).
% 131.11/17.47 fof(f186,plain,(
% 131.11/17.47 or_1),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f43])).
% 131.11/17.47 fof(f187,plain,(
% 131.11/17.47 or_2),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f44])).
% 131.11/17.47 fof(f188,plain,(
% 131.11/17.47 or_3),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f45])).
% 131.11/17.47 fof(f191,plain,(
% 131.11/17.47 equivalence_3),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f48])).
% 131.11/17.47 fof(f192,plain,(
% 131.11/17.47 substitution_of_equivalents),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f49])).
% 131.11/17.47 fof(f196,plain,(
% 131.11/17.47 ~kn3),
% 131.11/17.47 inference(cnf_transformation,[status(thm)],[f54])).
% 131.11/17.47 fof(f197,plain,(
% 131.11/17.47 ![X0,X1]: (or(X0,X1)=not(and(not(X0),not(X1))))),
% 131.11/17.47 inference(backward_subsumption_resolution,[status(thm)],[f166,f175])).
% 131.11/17.47 fof(f198,plain,(
% 131.11/17.47 ![X0,X1]: (implies(X0,X1)=not(and(X0,not(X1))))),
% 131.11/17.47 inference(backward_subsumption_resolution,[status(thm)],[f170,f176])).
% 131.11/17.47 fof(f200,plain,(
% 131.11/17.47 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1))),
% 131.11/17.47 inference(backward_subsumption_resolution,[status(thm)],[f59,f178])).
% 131.11/17.47 fof(f202,plain,(
% 131.11/17.47 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X0))))),
% 131.11/17.47 inference(backward_subsumption_resolution,[status(thm)],[f75,f180])).
% 131.11/17.47 fof(f203,plain,(
% 131.11/17.47 ![X0,X1]: (is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))))),
% 131.11/17.47 inference(backward_subsumption_resolution,[status(thm)],[f79,f181])).
% 131.11/17.47 fof(f204,plain,(
% 131.11/17.47 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 131.11/17.47 inference(backward_subsumption_resolution,[status(thm)],[f83,f182])).
% 131.11/17.47 fof(f206,plain,(
% 131.11/17.47 ![X0,X1]: (is_a_theorem(implies(and(X0,X1),X1)))),
% 131.11/17.47 inference(backward_subsumption_resolution,[status(thm)],[f91,f184])).
% 131.11/17.47 fof(f207,plain,(
% 131.11/17.47 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,and(X0,X1)))))),
% 131.11/17.47 inference(backward_subsumption_resolution,[status(thm)],[f95,f185])).
% 131.11/17.47 fof(f208,plain,(
% 131.11/17.47 ![X0,X1]: (is_a_theorem(implies(X0,or(X0,X1))))),
% 131.11/17.47 inference(backward_subsumption_resolution,[status(thm)],[f99,f186])).
% 131.11/17.47 fof(f209,plain,(
% 131.11/17.47 ![X0,X1]: (is_a_theorem(implies(X0,or(X1,X0))))),
% 131.11/17.47 inference(backward_subsumption_resolution,[status(thm)],[f103,f187])).
% 131.11/17.47 fof(f210,plain,(
% 131.11/17.47 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1)))))),
% 131.11/17.47 inference(backward_subsumption_resolution,[status(thm)],[f107,f188])).
% 131.11/17.47 fof(f213,plain,(
% 131.11/17.47 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))))),
% 131.11/17.47 inference(backward_subsumption_resolution,[status(thm)],[f119,f191])).
% 131.11/17.47 fof(f214,plain,(
% 131.11/17.47 ![X0,X1]: (~is_a_theorem(equiv(X0,X1))|X0=X1)),
% 131.11/17.47 inference(backward_subsumption_resolution,[status(thm)],[f66,f192])).
% 131.11/17.47 fof(f215,plain,(
% 131.11/17.47 ~is_a_theorem(implies(implies(sK35_skl,sK36_skl),implies(not(and(sK36_skl,sK37_skl)),not(and(sK37_skl,sK35_skl)))))),
% 131.11/17.47 inference(backward_subsumption_resolution,[status(thm)],[f132,f196])).
% 131.11/17.47 fof(f216,plain,(
% 131.11/17.47 ![X0,X1]: (or(X0,X1)=implies(not(X0),X1))),
% 131.11/17.47 inference(backward_demodulation,[status(thm)],[f198,f197])).
% 131.11/17.47 fof(f220,plain,(
% 131.11/17.47 cn3|~is_a_theorem(implies(or(sK43_skl,sK43_skl),sK43_skl))),
% 131.11/17.47 inference(backward_demodulation,[status(thm)],[f216,f144])).
% 131.11/17.47 fof(f222,plain,(
% 131.11/17.47 ~is_a_theorem(implies(implies(sK35_skl,sK36_skl),or(and(sK36_skl,sK37_skl),not(and(sK37_skl,sK35_skl)))))),
% 131.11/17.47 inference(backward_demodulation,[status(thm)],[f216,f215])).
% 131.11/17.47 fof(f224,plain,(
% 131.11/17.47 ![X0]: (~cn3|is_a_theorem(implies(or(X0,X0),X0)))),
% 131.11/17.47 inference(backward_demodulation,[status(thm)],[f216,f143])).
% 131.11/17.47 fof(f227,plain,(
% 131.11/17.47 ![X0,X1,X2]: (implies(X0,and(X1,not(X2)))=not(and(X0,implies(X1,X2))))),
% 131.11/17.47 inference(paramodulation,[status(thm)],[f198,f198])).
% 131.11/17.47 fof(f229,plain,(
% 131.11/17.47 ![X0,X1]: (~is_a_theorem(implies(X0,implies(X0,X1)))|is_a_theorem(implies(X0,X1)))),
% 131.11/17.47 inference(resolution,[status(thm)],[f203,f200])).
% 131.11/17.47 fof(f230,plain,(
% 131.11/17.47 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 131.11/17.47 inference(resolution,[status(thm)],[f204,f200])).
% 131.11/17.47 fof(f235,plain,(
% 131.11/17.47 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(X1,and(X0,X1))))),
% 131.11/17.47 inference(resolution,[status(thm)],[f207,f200])).
% 131.11/17.47 fof(f247,plain,(
% 131.11/17.47 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X2,X1),implies(or(X0,X2),X1))))),
% 131.11/17.47 inference(resolution,[status(thm)],[f210,f200])).
% 131.11/17.47 fof(f252,plain,(
% 131.11/17.47 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X0),equiv(X0,X1))))),
% 131.11/17.47 inference(resolution,[status(thm)],[f213,f200])).
% 131.11/17.47 fof(f253,plain,(
% 131.11/17.47 ![X0,X1,X2]: (or(and(X0,not(X1)),X2)=implies(implies(X0,X1),X2))),
% 131.11/17.47 inference(paramodulation,[status(thm)],[f198,f216])).
% 131.11/17.47 fof(f292,plain,(
% 131.11/17.47 ![X0,X1,X2]: (implies(X0,and(not(X1),not(X2)))=not(and(X0,or(X1,X2))))),
% 131.11/17.47 inference(paramodulation,[status(thm)],[f216,f227])).
% 131.11/17.47 fof(f294,plain,(
% 131.11/17.47 ![X0,X1,X2,X3]: (or(and(X0,implies(X1,X2)),X3)=implies(implies(X0,and(X1,not(X2))),X3))),
% 131.11/17.49 inference(paramodulation,[status(thm)],[f227,f216])).
% 131.11/17.49 fof(f298,plain,(
% 131.11/17.49 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(or(X0,X0),X1))))),
% 131.11/17.49 inference(resolution,[status(thm)],[f229,f210])).
% 131.11/17.49 fof(f300,plain,(
% 131.11/17.49 ![X0]: (is_a_theorem(implies(X0,and(X0,X0))))),
% 131.11/17.49 inference(resolution,[status(thm)],[f229,f207])).
% 131.11/17.49 fof(f301,plain,(
% 131.11/17.49 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 131.11/17.49 inference(resolution,[status(thm)],[f229,f202])).
% 131.11/17.49 fof(f311,plain,(
% 131.11/17.49 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 131.11/17.49 inference(resolution,[status(thm)],[f230,f200])).
% 131.11/17.49 fof(f321,plain,(
% 131.11/17.49 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(or(X1,and(X0,not(X1)))))),
% 131.11/17.49 inference(paramodulation,[status(thm)],[f216,f235])).
% 131.11/17.49 fof(f323,plain,(
% 131.11/17.49 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X2,X1))|is_a_theorem(implies(or(X0,X2),X1)))),
% 131.11/17.49 inference(resolution,[status(thm)],[f247,f200])).
% 131.11/17.49 fof(f333,plain,(
% 131.11/17.49 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X0))|is_a_theorem(equiv(X0,X1)))),
% 131.11/17.49 inference(resolution,[status(thm)],[f252,f200])).
% 131.11/17.49 fof(f768,plain,(
% 131.11/17.49 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),or(and(X1,implies(X2,X3)),implies(X0,and(X2,not(X3)))))))),
% 131.11/17.49 inference(paramodulation,[status(thm)],[f294,f204])).
% 131.11/17.49 fof(f840,plain,(
% 131.11/17.49 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(or(X0,X0),X1)))),
% 131.11/17.49 inference(resolution,[status(thm)],[f298,f200])).
% 131.11/17.49 fof(f863,plain,(
% 131.11/17.49 ~is_a_theorem(implies(sK43_skl,sK43_skl))|cn3),
% 131.11/17.49 inference(resolution,[status(thm)],[f840,f220])).
% 131.11/17.49 fof(f869,plain,(
% 131.11/17.49 ![X0]: (is_a_theorem(implies(or(X0,X0),X0)))),
% 131.11/17.49 inference(backward_subsumption_resolution,[status(thm)],[f224,f870])).
% 131.11/17.49 fof(f870,plain,(
% 131.11/17.49 cn3),
% 131.11/17.49 inference(forward_subsumption_resolution,[status(thm)],[f863,f301])).
% 131.11/17.49 fof(f910,plain,(
% 131.11/17.49 ![X0]: (~is_a_theorem(implies(implies(sK35_skl,sK36_skl),X0))|~is_a_theorem(implies(X0,or(and(sK36_skl,sK37_skl),not(and(sK37_skl,sK35_skl))))))),
% 131.11/17.49 inference(resolution,[status(thm)],[f311,f222])).
% 131.11/17.49 fof(f926,plain,(
% 131.11/17.49 ![X0]: (~is_a_theorem(implies(implies(sK35_skl,sK36_skl),and(X0,or(and(sK36_skl,sK37_skl),not(and(sK37_skl,sK35_skl)))))))),
% 131.11/17.49 inference(resolution,[status(thm)],[f910,f206])).
% 131.11/17.49 fof(f980,plain,(
% 131.11/17.49 ~is_a_theorem(implies(sK47_skl,or(sK48_skl,sK47_skl)))|~is_a_theorem(implies(sK48_skl,or(sK48_skl,sK47_skl)))|r3),
% 131.11/17.49 inference(resolution,[status(thm)],[f323,f156])).
% 131.11/17.49 fof(f987,plain,(
% 131.11/17.49 ~is_a_theorem(implies(sK48_skl,or(sK48_skl,sK47_skl)))|r3),
% 131.11/17.49 inference(forward_subsumption_resolution,[status(thm)],[f980,f209])).
% 131.11/17.49 fof(f1016,plain,(
% 131.11/17.49 r3),
% 131.11/17.49 inference(resolution,[status(thm)],[f987,f208])).
% 131.11/17.49 fof(f1019,plain,(
% 131.11/17.49 ![X0,X1]: (is_a_theorem(implies(or(X0,X1),or(X1,X0))))),
% 131.11/17.49 inference(backward_subsumption_resolution,[status(thm)],[f155,f1016])).
% 131.11/17.49 fof(f1072,plain,(
% 131.11/17.49 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X0))|X0=X1)),
% 131.11/17.49 inference(resolution,[status(thm)],[f333,f214])).
% 131.11/17.49 fof(f1926,plain,(
% 131.11/17.49 ![X0,X1]: (~is_a_theorem(implies(or(X0,X1),or(X1,X0)))|or(X0,X1)=or(X1,X0))),
% 131.11/17.49 inference(resolution,[status(thm)],[f1072,f1019])).
% 131.11/17.49 fof(f1933,plain,(
% 131.11/17.49 ![X0]: (~is_a_theorem(implies(X0,or(X0,X0)))|X0=or(X0,X0))),
% 131.11/17.49 inference(resolution,[status(thm)],[f1072,f869])).
% 131.11/17.49 fof(f1961,plain,(
% 131.11/17.49 ![X0]: (~is_a_theorem(implies(and(X0,X0),X0))|and(X0,X0)=X0)),
% 131.11/17.49 inference(resolution,[status(thm)],[f1072,f300])).
% 131.11/17.49 fof(f1962,plain,(
% 131.11/17.49 ![X0,X1]: (~is_a_theorem(implies(and(X0,X1),X1))|and(X0,X1)=X1|~is_a_theorem(X0))),
% 131.11/17.49 inference(resolution,[status(thm)],[f1072,f235])).
% 131.11/17.49 fof(f2029,plain,(
% 131.11/17.49 ![X0,X1]: (or(X0,X1)=or(X1,X0))),
% 131.11/17.49 inference(forward_subsumption_resolution,[status(thm)],[f1926,f1019])).
% 131.11/17.49 fof(f2080,plain,(
% 131.11/17.49 ![X0]: (X0=or(X0,X0))),
% 131.11/17.49 inference(forward_subsumption_resolution,[status(thm)],[f1933,f209])).
% 131.11/17.49 fof(f2156,plain,(
% 131.11/17.49 ![X0]: (and(X0,X0)=X0)),
% 131.11/17.49 inference(forward_subsumption_resolution,[status(thm)],[f1961,f206])).
% 131.11/17.49 fof(f2157,plain,(
% 131.11/17.49 ![X0,X1]: (and(X0,X1)=X1|~is_a_theorem(X0))),
% 131.11/17.49 inference(forward_subsumption_resolution,[status(thm)],[f1962,f206])).
% 131.11/17.49 fof(f2326,plain,(
% 133.94/17.61 ![X0,X1]: (implies(X0,not(X1))=not(and(X0,or(X1,X1))))),
% 133.94/17.61 inference(paramodulation,[status(thm)],[f2156,f292])).
% 133.94/17.61 fof(f2331,plain,(
% 133.94/17.61 ~is_a_theorem(implies(implies(sK35_skl,sK36_skl),or(and(sK36_skl,sK37_skl),not(and(sK37_skl,sK35_skl)))))),
% 133.94/17.61 inference(paramodulation,[status(thm)],[f2156,f926])).
% 133.94/17.61 fof(f2366,plain,(
% 133.94/17.61 ![X0,X1]: (or(not(X0),X1)=implies(implies(not(X0),X0),X1))),
% 133.94/17.61 inference(paramodulation,[status(thm)],[f2156,f253])).
% 133.94/17.61 fof(f2487,plain,(
% 133.94/17.61 ![X0,X1]: (implies(X0,not(X1))=not(and(X0,X1)))),
% 133.94/17.61 inference(forward_demodulation,[status(thm)],[f2080,f2326])).
% 133.94/17.61 fof(f2493,plain,(
% 133.94/17.61 ~is_a_theorem(implies(implies(sK35_skl,sK36_skl),or(and(sK36_skl,sK37_skl),implies(sK37_skl,not(sK35_skl)))))),
% 133.94/17.61 inference(forward_demodulation,[status(thm)],[f2487,f2331])).
% 133.94/17.61 fof(f2609,plain,(
% 133.94/17.61 ![X0,X1]: (or(not(X0),X1)=implies(or(X0,X0),X1))),
% 133.94/17.61 inference(forward_demodulation,[status(thm)],[f216,f2366])).
% 133.94/17.61 fof(f2627,plain,(
% 133.94/17.61 ![X0,X1]: (or(not(X0),X1)=implies(X0,X1))),
% 133.94/17.61 inference(forward_demodulation,[status(thm)],[f2080,f2609])).
% 133.94/17.61 fof(f2932,plain,(
% 133.94/17.61 ![X0,X1,X2]: (implies(implies(X0,X1),X2)=or(X2,and(X0,not(X1))))),
% 133.94/17.61 inference(paramodulation,[status(thm)],[f253,f2029])).
% 133.94/17.61 fof(f3023,plain,(
% 133.94/17.61 ![X0,X1]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X0,X1),X1)))),
% 133.94/17.61 inference(backward_demodulation,[status(thm)],[f2932,f321])).
% 133.94/17.61 fof(f3343,plain,(
% 133.94/17.61 ![X0,X1]: (and(implies(X0,X0),X1)=X1)),
% 133.94/17.61 inference(resolution,[status(thm)],[f2157,f301])).
% 133.94/17.61 fof(f3854,plain,(
% 133.94/17.61 ![X0,X1]: (or(X0,not(X1))=implies(X1,X0))),
% 133.94/17.61 inference(paramodulation,[status(thm)],[f2029,f2627])).
% 133.94/17.61 fof(f4466,plain,(
% 133.94/17.61 ![X0,X1]: (implies(X0,not(X1))=implies(X1,not(X0)))),
% 133.94/17.61 inference(paramodulation,[status(thm)],[f2627,f3854])).
% 133.94/17.61 fof(f4513,plain,(
% 133.94/17.61 ~is_a_theorem(implies(implies(sK35_skl,sK36_skl),or(and(sK36_skl,sK37_skl),implies(sK35_skl,not(sK37_skl)))))),
% 133.94/17.61 inference(backward_demodulation,[status(thm)],[f4466,f2493])).
% 133.94/17.61 fof(f11973,plain,(
% 133.94/17.61 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(implies(X1,implies(X0,X1)))|X1=implies(X0,X1))),
% 133.94/17.61 inference(resolution,[status(thm)],[f3023,f1072])).
% 133.94/17.61 fof(f11997,plain,(
% 133.94/17.61 ![X0,X1]: (~is_a_theorem(X0)|X1=implies(X0,X1))),
% 133.94/17.61 inference(forward_subsumption_resolution,[status(thm)],[f11973,f202])).
% 133.94/17.61 fof(f12447,plain,(
% 133.94/17.61 ![X0,X1]: (X0=implies(implies(X1,X1),X0))),
% 133.94/17.61 inference(resolution,[status(thm)],[f11997,f301])).
% 133.94/17.61 fof(f20804,plain,(
% 133.94/17.61 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(X0,X1),or(and(X1,X2),implies(X0,and(implies(X3,X3),not(X2)))))))),
% 133.94/17.61 inference(paramodulation,[status(thm)],[f12447,f768])).
% 133.94/17.61 fof(f20909,plain,(
% 133.94/17.61 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),or(and(X1,X2),implies(X0,not(X2))))))),
% 133.94/17.61 inference(forward_demodulation,[status(thm)],[f3343,f20804])).
% 133.94/17.61 fof(f20910,plain,(
% 133.94/17.61 $false),
% 133.94/17.61 inference(backward_subsumption_resolution,[status(thm)],[f4513,f20909])).
% 133.94/17.61 % SZS output end CNFRefutation for theBenchmark.p
% 39.79/17.78 % Elapsed time: 17.223648 seconds
% 39.79/17.78 % CPU time: 135.765978 seconds
% 39.79/17.78 % Total memory used: 1.319 GB
% 39.79/17.78 % Net memory used: 1.267 GB
%------------------------------------------------------------------------------