%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL539+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 : n008.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 01:10:14 PM UTC 2026
% Result : Theorem 5.73s 11.17s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL539+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
% 0.10/10.37 % Computer : n008.cluster.edu
% 0.10/10.37 % Model : x86_64 x86_64
% 0.10/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.37 % Memory : 8046.5625MB
% 0.10/10.37 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Mon Sep 21 00:38:52 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.39 % Drodi V4.1.1
% 5.73/11.17 % Refutation found
% 5.73/11.17 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.73/11.17 % SZS output start CNFRefutation for theBenchmark
% 5.73/11.17 fof(f1,axiom,(
% 5.73/11.17 ( modus_ponens<=> (! [X,Y] :( ( is_a_theorem(X)& is_a_theorem(implies(X,Y)) )=> is_a_theorem(Y) ) )) ),
% 5.73/11.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.73/11.17 fof(f2,axiom,(
% 5.73/11.17 ( substitution_of_equivalents<=> (! [X,Y] :( is_a_theorem(equiv(X,Y))=> X = Y ) )) ),
% 5.73/11.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.73/11.17 fof(f7,axiom,(
% 5.73/11.17 ( and_1<=> (! [X,Y] : is_a_theorem(implies(and(X,Y),X)) )) ),
% 5.73/11.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.73/11.17 fof(f8,axiom,(
% 5.73/11.17 ( and_2<=> (! [X,Y] : is_a_theorem(implies(and(X,Y),Y)) )) ),
% 5.73/11.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.73/11.17 fof(f15,axiom,(
% 5.73/11.17 ( equivalence_3<=> (! [X,Y] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,X),equiv(X,Y)))) )) ),
% 5.73/11.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.73/11.17 fof(f35,axiom,(
% 5.73/11.17 modus_ponens ),
% 5.73/11.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.73/11.17 fof(f40,axiom,(
% 5.73/11.17 and_1 ),
% 5.73/11.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.73/11.17 fof(f41,axiom,(
% 5.73/11.17 and_2 ),
% 5.73/11.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.73/11.17 fof(f48,axiom,(
% 5.73/11.17 equivalence_3 ),
% 5.73/11.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.73/11.17 fof(f49,axiom,(
% 5.73/11.17 substitution_of_equivalents ),
% 5.73/11.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.73/11.17 fof(f53,axiom,(
% 5.73/11.17 ( substitution_strict_equiv<=> (! [X,Y] :( is_a_theorem(strict_equiv(X,Y))=> X = Y ) )) ),
% 5.73/11.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.73/11.17 fof(f55,axiom,(
% 5.73/11.17 ( axiom_M<=> (! [X] : is_a_theorem(implies(necessarily(X),X)) )) ),
% 5.73/11.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.73/11.17 fof(f75,axiom,(
% 5.73/11.17 ( op_strict_implies=> (! [X,Y] : strict_implies(X,Y) = necessarily(implies(X,Y)) )) ),
% 5.73/11.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.73/11.17 fof(f76,axiom,(
% 5.73/11.17 ( op_strict_equiv=> (! [X,Y] : strict_equiv(X,Y) = and(strict_implies(X,Y),strict_implies(Y,X)) )) ),
% 5.73/11.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.73/11.17 fof(f80,axiom,(
% 5.73/11.17 axiom_M ),
% 5.73/11.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.73/11.17 fof(f86,axiom,(
% 5.73/11.17 op_strict_implies ),
% 5.73/11.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.73/11.17 fof(f88,axiom,(
% 5.73/11.17 op_strict_equiv ),
% 5.73/11.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.73/11.17 fof(f89,conjecture,(
% 5.73/11.17 substitution_strict_equiv ),
% 5.73/11.17 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 5.73/11.17 fof(f90,negated_conjecture,(
% 5.73/11.17 ~(substitution_strict_equiv )),
% 5.73/11.17 inference(negated_conjecture,[status(cth)],[f89])).
% 5.73/11.17 fof(f91,plain,(
% 5.73/11.17 modus_ponens<=>(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(implies(X,Y)))|is_a_theorem(Y)))),
% 5.73/11.17 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 5.73/11.17 fof(f92,plain,(
% 5.73/11.17 (~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))))),
% 5.73/11.17 inference(NNF_transformation,[status(thm)],[f91])).
% 5.73/11.17 fof(f93,plain,(
% 5.73/11.17 (~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))))),
% 5.73/11.17 inference(miniscoping,[status(thm)],[f92])).
% 5.73/11.17 fof(f94,plain,(
% 5.73/11.17 (~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)))),
% 5.73/11.17 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl),skolemize(X,sK1_skl)],[f93])).
% 5.73/11.17 fof(f95,plain,(
% 5.73/11.17 ![X0,X1]: (~modus_ponens|~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1))),
% 5.73/11.17 inference(cnf_transformation,[status(thm)],[f94])).
% 5.73/11.17 fof(f99,plain,(
% 5.73/11.17 substitution_of_equivalents<=>(![X,Y]: (~is_a_theorem(equiv(X,Y))|X=Y))),
% 5.73/11.17 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 5.73/11.17 fof(f100,plain,(
% 5.73/11.17 (~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)))),
% 5.73/11.17 inference(NNF_transformation,[status(thm)],[f99])).
% 5.73/11.17 fof(f101,plain,(
% 5.73/11.17 (~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))),
% 5.73/11.17 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(X,sK2_skl),skolemize(Y,sK3_skl)],[f100])).
% 5.73/11.17 fof(f102,plain,(
% 5.73/11.17 ![X0,X1]: (~substitution_of_equivalents|~is_a_theorem(equiv(X0,X1))|X0=X1)),
% 5.73/11.17 inference(cnf_transformation,[status(thm)],[f101])).
% 5.73/11.17 fof(f121,plain,(
% 5.73/11.17 (~and_1|(![X,Y]: is_a_theorem(implies(and(X,Y),X))))&(and_1|(?[X,Y]: ~is_a_theorem(implies(and(X,Y),X))))),
% 5.73/11.17 inference(NNF_transformation,[status(thm)],[f7])).
% 5.73/11.17 fof(f122,plain,(
% 5.73/11.17 (~and_1|(![X,Y]: is_a_theorem(implies(and(X,Y),X))))&(and_1|~is_a_theorem(implies(and(sK13_skl,sK14_skl),sK13_skl)))),
% 5.73/11.17 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl]),skolemize(X,sK13_skl),skolemize(Y,sK14_skl)],[f121])).
% 5.73/11.17 fof(f123,plain,(
% 5.73/11.17 ![X0,X1]: (~and_1|is_a_theorem(implies(and(X0,X1),X0)))),
% 5.73/11.17 inference(cnf_transformation,[status(thm)],[f122])).
% 5.73/11.17 fof(f125,plain,(
% 5.73/11.17 (~and_2|(![X,Y]: is_a_theorem(implies(and(X,Y),Y))))&(and_2|(?[X,Y]: ~is_a_theorem(implies(and(X,Y),Y))))),
% 5.73/11.17 inference(NNF_transformation,[status(thm)],[f8])).
% 5.73/11.17 fof(f126,plain,(
% 5.73/11.17 (~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)))),
% 5.73/11.17 inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl,sK16_skl]),skolemize(X,sK15_skl),skolemize(Y,sK16_skl)],[f125])).
% 5.73/11.17 fof(f127,plain,(
% 5.73/11.17 ![X0,X1]: (~and_2|is_a_theorem(implies(and(X0,X1),X1)))),
% 5.73/11.17 inference(cnf_transformation,[status(thm)],[f126])).
% 5.73/11.17 fof(f153,plain,(
% 5.73/11.17 (~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))))))),
% 5.73/11.17 inference(NNF_transformation,[status(thm)],[f15])).
% 5.73/11.17 fof(f154,plain,(
% 5.73/11.17 (~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)))))),
% 5.73/11.17 inference(skolemize,[status(esa),new_symbols(skolem,[sK30_skl,sK31_skl]),skolemize(X,sK30_skl),skolemize(Y,sK31_skl)],[f153])).
% 5.73/11.17 fof(f155,plain,(
% 5.73/11.17 ![X0,X1]: (~equivalence_3|is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))))),
% 5.73/11.17 inference(cnf_transformation,[status(thm)],[f154])).
% 5.73/11.17 fof(f214,plain,(
% 5.73/11.17 modus_ponens),
% 5.73/11.17 inference(cnf_transformation,[status(thm)],[f35])).
% 5.73/11.17 fof(f219,plain,(
% 5.73/11.17 and_1),
% 5.73/11.17 inference(cnf_transformation,[status(thm)],[f40])).
% 5.73/11.17 fof(f220,plain,(
% 5.73/11.17 and_2),
% 5.73/11.17 inference(cnf_transformation,[status(thm)],[f41])).
% 5.73/11.17 fof(f227,plain,(
% 5.73/11.17 equivalence_3),
% 5.73/11.17 inference(cnf_transformation,[status(thm)],[f48])).
% 5.73/11.17 fof(f228,plain,(
% 5.73/11.17 substitution_of_equivalents),
% 5.73/11.17 inference(cnf_transformation,[status(thm)],[f49])).
% 5.73/11.17 fof(f250,plain,(
% 5.73/11.17 substitution_strict_equiv<=>(![X,Y]: (~is_a_theorem(strict_equiv(X,Y))|X=Y))),
% 5.73/11.17 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 5.73/11.17 fof(f251,plain,(
% 5.73/11.17 (~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)))),
% 5.73/11.17 inference(NNF_transformation,[status(thm)],[f250])).
% 5.73/11.17 fof(f252,plain,(
% 5.73/11.17 (~substitution_strict_equiv|(![X,Y]: (~is_a_theorem(strict_equiv(X,Y))|X=Y)))&(substitution_strict_equiv|(is_a_theorem(strict_equiv(sK60_skl,sK61_skl))&~sK60_skl=sK61_skl))),
% 5.73/11.17 inference(skolemize,[status(esa),new_symbols(skolem,[sK60_skl,sK61_skl]),skolemize(X,sK60_skl),skolemize(Y,sK61_skl)],[f251])).
% 5.73/11.17 fof(f254,plain,(
% 5.73/11.17 substitution_strict_equiv|is_a_theorem(strict_equiv(sK60_skl,sK61_skl))),
% 5.73/11.17 inference(cnf_transformation,[status(thm)],[f252])).
% 5.73/11.17 fof(f255,plain,(
% 5.73/11.17 substitution_strict_equiv|~sK60_skl=sK61_skl),
% 5.73/11.17 inference(cnf_transformation,[status(thm)],[f252])).
% 5.73/11.17 fof(f260,plain,(
% 5.73/11.17 (~axiom_M|(![X]: is_a_theorem(implies(necessarily(X),X))))&(axiom_M|(?[X]: ~is_a_theorem(implies(necessarily(X),X))))),
% 5.73/11.17 inference(NNF_transformation,[status(thm)],[f55])).
% 5.73/11.17 fof(f261,plain,(
% 5.73/11.17 (~axiom_M|(![X]: is_a_theorem(implies(necessarily(X),X))))&(axiom_M|~is_a_theorem(implies(necessarily(sK64_skl),sK64_skl)))),
% 5.73/11.17 inference(skolemize,[status(esa),new_symbols(skolem,[sK64_skl]),skolemize(X,sK64_skl)],[f260])).
% 5.73/11.17 fof(f262,plain,(
% 5.73/11.17 ![X0]: (~axiom_M|is_a_theorem(implies(necessarily(X0),X0)))),
% 5.73/11.17 inference(cnf_transformation,[status(thm)],[f261])).
% 5.73/11.17 fof(f336,plain,(
% 5.73/11.17 ~op_strict_implies|(![X,Y]: strict_implies(X,Y)=necessarily(implies(X,Y)))),
% 5.73/11.17 inference(pre_NNF_transformation,[status(thm)],[f75])).
% 5.73/11.17 fof(f337,plain,(
% 5.73/11.17 ![X0,X1]: (~op_strict_implies|strict_implies(X0,X1)=necessarily(implies(X0,X1)))),
% 5.73/11.17 inference(cnf_transformation,[status(thm)],[f336])).
% 5.73/11.17 fof(f338,plain,(
% 5.73/11.17 ~op_strict_equiv|(![X,Y]: strict_equiv(X,Y)=and(strict_implies(X,Y),strict_implies(Y,X)))),
% 5.73/11.17 inference(pre_NNF_transformation,[status(thm)],[f76])).
% 5.73/11.17 fof(f339,plain,(
% 5.73/11.17 ![X0,X1]: (~op_strict_equiv|strict_equiv(X0,X1)=and(strict_implies(X0,X1),strict_implies(X1,X0)))),
% 5.73/11.17 inference(cnf_transformation,[status(thm)],[f338])).
% 5.73/11.17 fof(f343,plain,(
% 5.73/11.17 axiom_M),
% 5.73/11.17 inference(cnf_transformation,[status(thm)],[f80])).
% 5.73/11.17 fof(f349,plain,(
% 5.73/11.17 op_strict_implies),
% 5.73/11.17 inference(cnf_transformation,[status(thm)],[f86])).
% 5.73/11.17 fof(f351,plain,(
% 5.73/11.17 op_strict_equiv),
% 5.73/11.17 inference(cnf_transformation,[status(thm)],[f88])).
% 5.73/11.17 fof(f352,plain,(
% 5.73/11.17 ~substitution_strict_equiv),
% 5.73/11.17 inference(cnf_transformation,[status(thm)],[f90])).
% 5.73/11.17 fof(f353,plain,(
% 5.73/11.17 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1))),
% 5.73/11.17 inference(backward_subsumption_resolution,[status(thm)],[f95,f214])).
% 5.73/11.17 fof(f359,plain,(
% 5.73/11.17 ![X0,X1]: (is_a_theorem(implies(and(X0,X1),X0)))),
% 5.73/11.17 inference(backward_subsumption_resolution,[status(thm)],[f123,f219])).
% 5.73/11.17 fof(f360,plain,(
% 5.73/11.17 ![X0,X1]: (is_a_theorem(implies(and(X0,X1),X1)))),
% 5.73/11.17 inference(backward_subsumption_resolution,[status(thm)],[f127,f220])).
% 5.73/11.17 fof(f367,plain,(
% 5.73/11.17 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))))),
% 5.73/11.17 inference(forward_subsumption_resolution,[status(thm)],[f155,f227])).
% 5.73/11.17 fof(f368,plain,(
% 5.73/11.17 ![X0,X1]: (~is_a_theorem(equiv(X0,X1))|X0=X1)),
% 5.73/11.17 inference(backward_subsumption_resolution,[status(thm)],[f102,f228])).
% 5.73/11.17 fof(f382,plain,(
% 5.73/11.17 ~sK60_skl=sK61_skl),
% 5.73/11.17 inference(forward_subsumption_resolution,[status(thm)],[f255,f352])).
% 5.73/11.17 fof(f383,plain,(
% 5.73/11.17 is_a_theorem(strict_equiv(sK60_skl,sK61_skl))),
% 5.73/11.17 inference(forward_subsumption_resolution,[status(thm)],[f254,f352])).
% 5.73/11.17 fof(f385,plain,(
% 5.73/11.17 ![X0]: (is_a_theorem(implies(necessarily(X0),X0)))),
% 5.73/11.17 inference(forward_subsumption_resolution,[status(thm)],[f262,f343])).
% 5.73/11.17 fof(f428,plain,(
% 5.73/11.17 ![X0,X1]: (strict_implies(X0,X1)=necessarily(implies(X0,X1)))),
% 5.73/11.17 inference(forward_subsumption_resolution,[status(thm)],[f337,f349])).
% 5.73/11.17 fof(f440,plain,(
% 5.73/11.17 ![X0,X1]: (strict_equiv(X0,X1)=and(strict_implies(X0,X1),strict_implies(X1,X0)))),
% 5.73/11.17 inference(forward_subsumption_resolution,[status(thm)],[f339,f351])).
% 5.73/11.17 fof(f444,plain,(
% 5.73/11.17 ![X0,X1]: (~is_a_theorem(and(X0,X1))|is_a_theorem(X1))),
% 5.73/11.17 inference(resolution,[status(thm)],[f353,f360])).
% 5.73/11.17 fof(f445,plain,(
% 5.73/11.17 ![X0,X1]: (~is_a_theorem(and(X0,X1))|is_a_theorem(X0))),
% 5.73/11.17 inference(resolution,[status(thm)],[f353,f359])).
% 5.73/11.17 fof(f447,plain,(
% 5.73/11.17 ![X0]: (~is_a_theorem(necessarily(X0))|is_a_theorem(X0))),
% 5.73/11.17 inference(resolution,[status(thm)],[f353,f385])).
% 5.73/11.17 fof(f448,plain,(
% 5.73/11.17 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X0),equiv(X0,X1))))),
% 5.73/11.17 inference(resolution,[status(thm)],[f353,f367])).
% 5.73/11.17 fof(f456,plain,(
% 5.73/11.17 ![X0,X1]: (~is_a_theorem(strict_implies(X0,X1))|is_a_theorem(implies(X0,X1)))),
% 5.73/11.17 inference(paramodulation,[status(thm)],[f428,f447])).
% 5.73/11.17 fof(f474,plain,(
% 5.73/11.17 ![X0,X1]: (~is_a_theorem(strict_equiv(X0,X1))|is_a_theorem(strict_implies(X1,X0)))),
% 5.73/11.17 inference(paramodulation,[status(thm)],[f440,f444])).
% 5.73/11.17 fof(f483,plain,(
% 5.73/11.17 ![X0,X1]: (~is_a_theorem(strict_equiv(X0,X1))|is_a_theorem(strict_implies(X0,X1)))),
% 5.73/11.17 inference(paramodulation,[status(thm)],[f440,f445])).
% 5.73/11.17 fof(f975,plain,(
% 5.73/11.17 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X0))|is_a_theorem(equiv(X0,X1)))),
% 5.73/11.17 inference(resolution,[status(thm)],[f448,f353])).
% 5.73/11.18 fof(f1338,plain,(
% 5.73/11.18 is_a_theorem(strict_implies(sK61_skl,sK60_skl))),
% 5.73/11.18 inference(resolution,[status(thm)],[f474,f383])).
% 5.73/11.18 fof(f1340,plain,(
% 5.73/11.18 is_a_theorem(implies(sK61_skl,sK60_skl))),
% 5.73/11.18 inference(resolution,[status(thm)],[f1338,f456])).
% 5.73/11.18 fof(f1343,plain,(
% 5.73/11.18 is_a_theorem(strict_implies(sK60_skl,sK61_skl))),
% 5.73/11.18 inference(resolution,[status(thm)],[f483,f383])).
% 5.73/11.18 fof(f1345,plain,(
% 5.73/11.18 is_a_theorem(implies(sK60_skl,sK61_skl))),
% 5.73/11.18 inference(resolution,[status(thm)],[f1343,f456])).
% 5.73/11.18 fof(f7411,plain,(
% 5.73/11.18 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X0))|X0=X1)),
% 5.73/11.18 inference(resolution,[status(thm)],[f975,f368])).
% 5.73/11.18 fof(f7923,plain,(
% 5.73/11.18 ~is_a_theorem(implies(sK61_skl,sK60_skl))|sK61_skl=sK60_skl),
% 5.73/11.18 inference(resolution,[status(thm)],[f7411,f1345])).
% 5.73/11.18 fof(f8049,plain,(
% 5.73/11.18 sK61_skl=sK60_skl),
% 5.73/11.18 inference(forward_subsumption_resolution,[status(thm)],[f7923,f1340])).
% 5.73/11.18 fof(f8109,plain,(
% 5.73/11.18 $false),
% 5.73/11.18 inference(forward_subsumption_resolution,[status(thm)],[f8049,f382])).
% 5.73/11.18 % SZS output end CNFRefutation for theBenchmark.p
% 5.73/11.20 % Elapsed time: 0.804729 seconds
% 5.73/11.20 % CPU time: 6.087584 seconds
% 5.73/11.20 % Total memory used: 210.692 MB
% 5.73/11.20 % Net memory used: 200.953 MB
%------------------------------------------------------------------------------