%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL509+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 : n014.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 01:10:11 PM UTC 2026
% Result : Theorem 11.92s 1.94s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL509+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n014.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 00:36:20 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 11.92/1.94 % Refutation found
% 11.92/1.94 % SZS status Theorem for theBenchmark: Theorem is valid
% 11.92/1.94 % SZS output start CNFRefutation for theBenchmark
% 11.92/1.94 fof(f1,axiom,(
% 11.92/1.94 ( modus_ponens<=> (! [X,Y] :( ( is_a_theorem(X)& is_a_theorem(implies(X,Y)) )=> is_a_theorem(Y) ) )) ),
% 11.92/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.92/1.94 fof(f10,axiom,(
% 11.92/1.94 ( or_1<=> (! [X,Y] : is_a_theorem(implies(X,or(X,Y))) )) ),
% 11.92/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.92/1.94 fof(f16,axiom,(
% 11.92/1.94 ( kn1<=> (! [P] : is_a_theorem(implies(P,and(P,P))) )) ),
% 11.92/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.92/1.94 fof(f17,axiom,(
% 11.92/1.94 ( kn2<=> (! [P,Q] : is_a_theorem(implies(and(P,Q),P)) )) ),
% 11.92/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.92/1.94 fof(f18,axiom,(
% 11.92/1.94 ( kn3<=> (! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(not(and(Q,R)),not(and(R,P))))) )) ),
% 11.92/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.92/1.94 fof(f27,axiom,(
% 11.92/1.94 ( op_or=> (! [X,Y] : or(X,Y) = not(and(not(X),not(Y))) )) ),
% 11.92/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.92/1.94 fof(f29,axiom,(
% 11.92/1.94 ( op_implies_and=> (! [X,Y] : implies(X,Y) = not(and(X,not(Y))) )) ),
% 11.92/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.92/1.94 fof(f32,axiom,(
% 11.92/1.94 op_or ),
% 11.92/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.92/1.94 fof(f33,axiom,(
% 11.92/1.94 op_implies_and ),
% 11.92/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.92/1.94 fof(f35,axiom,(
% 11.92/1.94 modus_ponens ),
% 11.92/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.92/1.94 fof(f36,axiom,(
% 11.92/1.94 kn1 ),
% 11.92/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.92/1.94 fof(f37,axiom,(
% 11.92/1.94 kn2 ),
% 11.92/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.92/1.94 fof(f38,axiom,(
% 11.92/1.94 kn3 ),
% 11.92/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.92/1.94 fof(f43,conjecture,(
% 11.92/1.94 or_1 ),
% 11.92/1.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 11.92/1.94 fof(f44,negated_conjecture,(
% 11.92/1.94 ~(or_1 )),
% 11.92/1.94 inference(negated_conjecture,[status(cth)],[f43])).
% 11.92/1.94 fof(f45,plain,(
% 11.92/1.94 modus_ponens<=>(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(implies(X,Y)))|is_a_theorem(Y)))),
% 11.92/1.94 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 11.92/1.94 fof(f46,plain,(
% 11.92/1.94 (~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))))),
% 11.92/1.94 inference(NNF_transformation,[status(thm)],[f45])).
% 11.92/1.94 fof(f47,plain,(
% 11.92/1.94 (~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))))),
% 11.92/1.94 inference(miniscoping,[status(thm)],[f46])).
% 11.92/1.94 fof(f48,plain,(
% 11.92/1.94 (~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)))),
% 11.92/1.94 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl),skolemize(X,sK1_skl)],[f47])).
% 11.92/1.94 fof(f49,plain,(
% 11.92/1.94 ![X0,X1]: (~modus_ponens|~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1))),
% 11.92/1.94 inference(cnf_transformation,[status(thm)],[f48])).
% 11.92/1.94 fof(f87,plain,(
% 11.92/1.94 (~or_1|(![X,Y]: is_a_theorem(implies(X,or(X,Y)))))&(or_1|(?[X,Y]: ~is_a_theorem(implies(X,or(X,Y)))))),
% 11.92/1.94 inference(NNF_transformation,[status(thm)],[f10])).
% 11.92/1.94 fof(f88,plain,(
% 11.92/1.94 (~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))))),
% 11.92/1.94 inference(skolemize,[status(esa),new_symbols(skolem,[sK19_skl,sK20_skl]),skolemize(X,sK19_skl),skolemize(Y,sK20_skl)],[f87])).
% 11.92/1.94 fof(f90,plain,(
% 11.92/1.94 or_1|~is_a_theorem(implies(sK19_skl,or(sK19_skl,sK20_skl)))),
% 11.92/1.94 inference(cnf_transformation,[status(thm)],[f88])).
% 11.92/1.94 fof(f111,plain,(
% 11.92/1.94 (~kn1|(![P]: is_a_theorem(implies(P,and(P,P)))))&(kn1|(?[P]: ~is_a_theorem(implies(P,and(P,P)))))),
% 11.92/1.94 inference(NNF_transformation,[status(thm)],[f16])).
% 11.92/1.94 fof(f112,plain,(
% 11.92/1.94 (~kn1|(![P]: is_a_theorem(implies(P,and(P,P)))))&(kn1|~is_a_theorem(implies(sK32_skl,and(sK32_skl,sK32_skl))))),
% 11.92/1.94 inference(skolemize,[status(esa),new_symbols(skolem,[sK32_skl]),skolemize(P,sK32_skl)],[f111])).
% 11.92/1.94 fof(f113,plain,(
% 11.92/1.94 ![X0]: (~kn1|is_a_theorem(implies(X0,and(X0,X0))))),
% 11.92/1.94 inference(cnf_transformation,[status(thm)],[f112])).
% 11.92/1.94 fof(f115,plain,(
% 11.92/1.94 (~kn2|(![P,Q]: is_a_theorem(implies(and(P,Q),P))))&(kn2|(?[P,Q]: ~is_a_theorem(implies(and(P,Q),P))))),
% 11.92/1.94 inference(NNF_transformation,[status(thm)],[f17])).
% 11.92/1.94 fof(f116,plain,(
% 11.92/1.94 (~kn2|(![P,Q]: is_a_theorem(implies(and(P,Q),P))))&(kn2|~is_a_theorem(implies(and(sK33_skl,sK34_skl),sK33_skl)))),
% 11.92/1.94 inference(skolemize,[status(esa),new_symbols(skolem,[sK33_skl,sK34_skl]),skolemize(P,sK33_skl),skolemize(Q,sK34_skl)],[f115])).
% 11.92/1.94 fof(f117,plain,(
% 11.92/1.94 ![X0,X1]: (~kn2|is_a_theorem(implies(and(X0,X1),X0)))),
% 11.92/1.94 inference(cnf_transformation,[status(thm)],[f116])).
% 11.92/1.94 fof(f119,plain,(
% 11.92/1.94 (~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)))))))),
% 11.92/1.94 inference(NNF_transformation,[status(thm)],[f18])).
% 11.92/1.94 fof(f120,plain,(
% 11.92/1.94 (~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))))))),
% 11.92/1.94 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)],[f119])).
% 11.92/1.94 fof(f121,plain,(
% 11.92/1.94 ![X0,X1,X2]: (~kn3|is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0))))))),
% 11.92/1.94 inference(cnf_transformation,[status(thm)],[f120])).
% 11.92/1.94 fof(f155,plain,(
% 11.92/1.94 ~op_or|(![X,Y]: or(X,Y)=not(and(not(X),not(Y))))),
% 11.92/1.94 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 11.92/1.94 fof(f156,plain,(
% 11.92/1.94 ![X0,X1]: (~op_or|or(X0,X1)=not(and(not(X0),not(X1))))),
% 11.92/1.94 inference(cnf_transformation,[status(thm)],[f155])).
% 11.92/1.94 fof(f159,plain,(
% 11.92/1.94 ~op_implies_and|(![X,Y]: implies(X,Y)=not(and(X,not(Y))))),
% 11.92/1.94 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 11.92/1.94 fof(f160,plain,(
% 11.92/1.94 ![X0,X1]: (~op_implies_and|implies(X0,X1)=not(and(X0,not(X1))))),
% 11.92/1.94 inference(cnf_transformation,[status(thm)],[f159])).
% 11.92/1.94 fof(f165,plain,(
% 11.92/1.94 op_or),
% 11.92/1.94 inference(cnf_transformation,[status(thm)],[f32])).
% 11.92/1.94 fof(f166,plain,(
% 11.92/1.94 op_implies_and),
% 11.92/1.94 inference(cnf_transformation,[status(thm)],[f33])).
% 11.92/1.94 fof(f168,plain,(
% 11.92/1.94 modus_ponens),
% 11.92/1.94 inference(cnf_transformation,[status(thm)],[f35])).
% 11.92/1.94 fof(f169,plain,(
% 11.92/1.94 kn1),
% 11.92/1.94 inference(cnf_transformation,[status(thm)],[f36])).
% 11.92/1.94 fof(f170,plain,(
% 11.92/1.94 kn2),
% 11.92/1.94 inference(cnf_transformation,[status(thm)],[f37])).
% 11.92/1.94 fof(f171,plain,(
% 11.92/1.94 kn3),
% 11.92/1.94 inference(cnf_transformation,[status(thm)],[f38])).
% 11.92/1.94 fof(f176,plain,(
% 11.92/1.94 ~or_1),
% 11.92/1.94 inference(cnf_transformation,[status(thm)],[f44])).
% 11.92/1.94 fof(f177,plain,(
% 11.92/1.94 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1))),
% 11.92/1.94 inference(backward_subsumption_resolution,[status(thm)],[f49,f168])).
% 11.92/1.94 fof(f179,plain,(
% 11.92/1.94 ![X0]: (is_a_theorem(implies(X0,and(X0,X0))))),
% 11.92/1.94 inference(forward_subsumption_resolution,[status(thm)],[f113,f169])).
% 11.92/1.94 fof(f180,plain,(
% 11.92/1.94 ![X0,X1]: (is_a_theorem(implies(and(X0,X1),X0)))),
% 11.92/1.94 inference(forward_subsumption_resolution,[status(thm)],[f117,f170])).
% 11.92/1.94 fof(f186,plain,(
% 11.92/1.94 ~is_a_theorem(implies(sK19_skl,or(sK19_skl,sK20_skl)))),
% 11.92/1.94 inference(forward_subsumption_resolution,[status(thm)],[f90,f176])).
% 11.92/1.94 fof(f187,plain,(
% 11.92/1.94 ![X0,X1]: (implies(X0,X1)=not(and(X0,not(X1))))),
% 11.92/1.94 inference(forward_subsumption_resolution,[status(thm)],[f160,f166])).
% 11.92/1.94 fof(f189,plain,(
% 11.92/1.94 ![X0,X1]: (~op_or|or(X0,X1)=implies(not(X0),X1))),
% 11.92/1.94 inference(forward_demodulation,[status(thm)],[f187,f156])).
% 11.92/1.94 fof(f196,plain,(
% 11.92/1.94 ![X0,X1]: (or(X0,X1)=implies(not(X0),X1))),
% 11.92/1.94 inference(forward_subsumption_resolution,[status(thm)],[f189,f165])).
% 11.92/1.94 fof(f197,plain,(
% 11.92/1.94 ![X0,X1,X2]: (or(and(X0,not(X1)),X2)=implies(implies(X0,X1),X2))),
% 11.92/1.94 inference(paramodulation,[status(thm)],[f187,f196])).
% 11.92/1.94 fof(f199,plain,(
% 11.92/1.94 ![X0,X1]: (~is_a_theorem(not(X0))|~is_a_theorem(or(X0,X1))|is_a_theorem(X1))),
% 11.92/1.94 inference(paramodulation,[status(thm)],[f196,f177])).
% 11.92/1.94 fof(f205,plain,(
% 11.92/1.94 ![X0,X1,X2]: (~kn3|is_a_theorem(implies(implies(X0,X1),or(and(X1,X2),not(and(X2,X0))))))),
% 11.92/1.94 inference(forward_demodulation,[status(thm)],[f196,f121])).
% 11.92/1.94 fof(f206,plain,(
% 11.92/1.94 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),or(and(X1,X2),not(and(X2,X0))))))),
% 11.92/1.94 inference(forward_subsumption_resolution,[status(thm)],[f205,f171])).
% 11.92/1.94 fof(f207,plain,(
% 11.92/1.94 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(or(and(X1,X2),not(and(X2,X0)))))),
% 11.92/1.94 inference(resolution,[status(thm)],[f206,f177])).
% 11.92/1.94 fof(f209,plain,(
% 11.92/1.94 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),or(and(X1,X2),not(and(X2,not(X0)))))))),
% 11.92/1.94 inference(paramodulation,[status(thm)],[f196,f206])).
% 11.92/1.94 fof(f211,plain,(
% 11.92/1.94 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),or(and(X1,X2),implies(X2,X0)))))),
% 11.92/1.94 inference(forward_demodulation,[status(thm)],[f187,f209])).
% 11.92/1.94 fof(f272,plain,(
% 11.92/1.94 ![X0,X1,X2]: (~is_a_theorem(or(X0,X1))|is_a_theorem(or(and(X1,X2),implies(X2,X0))))),
% 11.92/1.94 inference(resolution,[status(thm)],[f211,f177])).
% 11.92/1.94 fof(f275,plain,(
% 11.92/1.94 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),implies(implies(X1,X2),implies(not(X2),X0)))))),
% 11.92/1.94 inference(paramodulation,[status(thm)],[f197,f211])).
% 11.92/1.94 fof(f278,plain,(
% 11.92/1.94 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),implies(implies(X1,X2),or(X2,X0)))))),
% 11.92/1.94 inference(forward_demodulation,[status(thm)],[f196,f275])).
% 11.92/1.94 fof(f305,plain,(
% 11.92/1.94 ![X0,X1]: (is_a_theorem(or(and(and(X0,X0),X1),not(and(X1,X0)))))),
% 11.92/1.94 inference(resolution,[status(thm)],[f207,f179])).
% 11.92/1.94 fof(f337,plain,(
% 11.92/1.94 ![X0,X1]: (is_a_theorem(implies(implies(and(X0,X0),X1),not(and(not(X1),X0)))))),
% 11.92/1.94 inference(paramodulation,[status(thm)],[f197,f305])).
% 11.92/1.94 fof(f493,plain,(
% 11.92/1.94 ![X0,X1,X2]: (~is_a_theorem(or(X0,X1))|is_a_theorem(implies(implies(X1,X2),or(X2,X0))))),
% 11.92/1.94 inference(resolution,[status(thm)],[f278,f177])).
% 11.92/1.94 fof(f587,plain,(
% 11.92/1.94 ![X0,X1]: (~is_a_theorem(implies(and(X0,X0),X1))|is_a_theorem(not(and(not(X1),X0))))),
% 11.92/1.94 inference(resolution,[status(thm)],[f337,f177])).
% 11.92/1.94 fof(f770,plain,(
% 11.92/1.94 ![X0]: (is_a_theorem(not(and(not(X0),X0))))),
% 11.92/1.94 inference(resolution,[status(thm)],[f587,f180])).
% 11.92/1.94 fof(f775,plain,(
% 11.92/1.94 ![X0,X1]: (~is_a_theorem(or(and(not(X0),X0),X1))|is_a_theorem(X1))),
% 11.92/1.94 inference(resolution,[status(thm)],[f770,f199])).
% 11.92/1.94 fof(f778,plain,(
% 11.92/1.94 ![X0]: (is_a_theorem(implies(not(not(X0)),X0)))),
% 11.92/1.94 inference(paramodulation,[status(thm)],[f187,f770])).
% 11.92/1.94 fof(f782,plain,(
% 11.92/1.94 ![X0]: (is_a_theorem(or(not(X0),X0)))),
% 11.92/1.94 inference(forward_demodulation,[status(thm)],[f196,f778])).
% 11.92/1.94 fof(f783,plain,(
% 11.92/1.94 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),or(X1,not(X0)))))),
% 11.92/1.94 inference(resolution,[status(thm)],[f782,f493])).
% 11.92/1.94 fof(f959,plain,(
% 11.92/1.94 ![X0,X1]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(or(X1,not(X0))))),
% 11.92/1.94 inference(resolution,[status(thm)],[f783,f177])).
% 11.92/1.94 fof(f1307,plain,(
% 11.92/1.94 ![X0,X1]: (is_a_theorem(or(X0,not(and(X0,X1)))))),
% 11.92/1.94 inference(resolution,[status(thm)],[f959,f180])).
% 11.92/1.94 fof(f1309,plain,(
% 11.92/1.94 ![X0]: (is_a_theorem(or(and(X0,X0),not(X0))))),
% 11.92/1.94 inference(resolution,[status(thm)],[f959,f179])).
% 11.92/1.94 fof(f1318,plain,(
% 11.92/1.94 ![X0,X1,X2]: (is_a_theorem(implies(implies(not(and(X0,X1)),X2),or(X2,X0))))),
% 11.92/1.94 inference(resolution,[status(thm)],[f1307,f493])).
% 11.92/1.94 fof(f1325,plain,(
% 11.92/1.94 ![X0,X1]: (is_a_theorem(or(X0,implies(X0,X1))))),
% 11.92/1.94 inference(paramodulation,[status(thm)],[f187,f1307])).
% 11.92/1.94 fof(f1329,plain,(
% 11.92/1.94 ![X0,X1,X2]: (is_a_theorem(implies(or(and(X0,X1),X2),or(X2,X0))))),
% 11.92/1.94 inference(forward_demodulation,[status(thm)],[f196,f1318])).
% 11.92/1.94 fof(f1332,plain,(
% 11.92/1.94 ![X0,X1,X2]: (is_a_theorem(or(and(implies(X0,X1),X2),implies(X2,X0))))),
% 11.92/1.94 inference(resolution,[status(thm)],[f1325,f272])).
% 11.92/1.94 fof(f1346,plain,(
% 11.92/1.94 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),not(not(X0)))))),
% 11.92/1.94 inference(paramodulation,[status(thm)],[f197,f1309])).
% 11.92/1.94 fof(f1352,plain,(
% 11.92/1.94 ![X0]: (is_a_theorem(implies(or(X0,X0),not(not(X0)))))),
% 11.92/1.94 inference(forward_demodulation,[status(thm)],[f196,f1346])).
% 11.92/1.94 fof(f1566,plain,(
% 11.92/1.94 ![X0]: (~is_a_theorem(or(X0,X0))|is_a_theorem(not(not(X0))))),
% 11.92/1.94 inference(resolution,[status(thm)],[f1352,f177])).
% 11.92/1.94 fof(f2048,plain,(
% 11.92/1.94 ![X0,X1,X2]: (~is_a_theorem(or(and(X0,X1),X2))|is_a_theorem(or(X2,X0)))),
% 11.92/1.94 inference(resolution,[status(thm)],[f1329,f177])).
% 11.92/1.94 fof(f2430,plain,(
% 11.92/1.94 ![X0,X1,X2]: (is_a_theorem(or(implies(X0,X1),implies(X1,X2))))),
% 11.92/1.94 inference(resolution,[status(thm)],[f2048,f1332])).
% 11.92/1.94 fof(f2482,plain,(
% 11.92/1.99 ![X0]: (is_a_theorem(not(not(implies(X0,X0)))))),
% 11.92/1.99 inference(resolution,[status(thm)],[f2430,f1566])).
% 11.92/1.99 fof(f2693,plain,(
% 11.92/1.99 ![X0,X1]: (~is_a_theorem(or(not(implies(X0,X0)),X1))|is_a_theorem(X1))),
% 11.92/1.99 inference(resolution,[status(thm)],[f2482,f199])).
% 11.92/1.99 fof(f2871,plain,(
% 11.92/1.99 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 11.92/1.99 inference(resolution,[status(thm)],[f2693,f782])).
% 11.92/1.99 fof(f2887,plain,(
% 11.92/1.99 ![X0]: (is_a_theorem(or(X0,not(X0))))),
% 11.92/1.99 inference(resolution,[status(thm)],[f2871,f959])).
% 11.92/1.99 fof(f2963,plain,(
% 11.92/1.99 ![X0,X1]: (is_a_theorem(or(not(and(X0,X1)),X0)))),
% 11.92/1.99 inference(resolution,[status(thm)],[f2887,f2048])).
% 11.92/1.99 fof(f3092,plain,(
% 11.92/1.99 ![X0,X1]: (is_a_theorem(or(implies(X0,X1),X0)))),
% 11.92/1.99 inference(paramodulation,[status(thm)],[f187,f2963])).
% 11.92/1.99 fof(f3100,plain,(
% 11.92/1.99 ![X0,X1,X2]: (is_a_theorem(or(and(X0,X1),implies(X1,implies(X0,X2)))))),
% 11.92/1.99 inference(resolution,[status(thm)],[f3092,f272])).
% 11.92/1.99 fof(f14399,plain,(
% 11.92/1.99 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 11.92/1.99 inference(resolution,[status(thm)],[f3100,f775])).
% 11.92/1.99 fof(f14430,plain,(
% 11.92/1.99 ![X0,X1]: (is_a_theorem(implies(X0,or(X0,X1))))),
% 11.92/1.99 inference(forward_demodulation,[status(thm)],[f196,f14399])).
% 11.92/1.99 fof(f14441,plain,(
% 11.92/1.99 $false),
% 11.92/1.99 inference(backward_subsumption_resolution,[status(thm)],[f186,f14430])).
% 11.92/1.99 % SZS output end CNFRefutation for theBenchmark.p
% 2.35/2.03 % Elapsed time: 1.651302 seconds
% 2.35/2.03 % CPU time: 12.555144 seconds
% 2.35/2.03 % Total memory used: 275.004 MB
% 2.35/2.03 % Net memory used: 269.011 MB
%------------------------------------------------------------------------------