%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL489+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 01:10:10 PM UTC 2026
% Result : Theorem 57.19s 7.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL489+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
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 00:36:24 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 57.19/7.67 % Refutation found
% 57.19/7.67 % SZS status Theorem for theBenchmark: Theorem is valid
% 57.19/7.67 % SZS output start CNFRefutation for theBenchmark
% 57.19/7.67 fof(f1,axiom,(
% 57.19/7.67 ( modus_ponens<=> (! [X,Y] :( ( is_a_theorem(X)& is_a_theorem(implies(X,Y)) )=> is_a_theorem(Y) ) )) ),
% 57.19/7.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.19/7.67 fof(f9,axiom,(
% 57.19/7.67 ( and_3<=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,and(X,Y)))) )) ),
% 57.19/7.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.19/7.67 fof(f19,axiom,(
% 57.19/7.67 ( cn1<=> (! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R)))) )) ),
% 57.19/7.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.19/7.67 fof(f24,axiom,(
% 57.19/7.67 ( r3<=> (! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))) )) ),
% 57.19/7.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.19/7.67 fof(f25,axiom,(
% 57.19/7.67 ( r4<=> (! [P,Q,R] : is_a_theorem(implies(or(P,or(Q,R)),or(Q,or(P,R)))) )) ),
% 57.19/7.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.19/7.67 fof(f26,axiom,(
% 57.19/7.67 ( r5<=> (! [P,Q,R] : is_a_theorem(implies(implies(Q,R),implies(or(P,Q),or(P,R)))) )) ),
% 57.19/7.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.19/7.67 fof(f27,axiom,(
% 57.19/7.67 ( op_or=> (! [X,Y] : or(X,Y) = not(and(not(X),not(Y))) )) ),
% 57.19/7.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.19/7.67 fof(f28,axiom,(
% 57.19/7.67 ( op_and=> (! [X,Y] : and(X,Y) = not(or(not(X),not(Y))) )) ),
% 57.19/7.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.19/7.67 fof(f29,axiom,(
% 57.19/7.67 ( op_implies_and=> (! [X,Y] : implies(X,Y) = not(and(X,not(Y))) )) ),
% 57.19/7.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.19/7.67 fof(f30,axiom,(
% 57.19/7.67 ( op_implies_or=> (! [X,Y] : implies(X,Y) = or(not(X),Y) )) ),
% 57.19/7.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.19/7.67 fof(f32,axiom,(
% 57.19/7.67 op_implies_or ),
% 57.19/7.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.19/7.67 fof(f33,axiom,(
% 57.19/7.67 op_and ),
% 57.19/7.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.19/7.67 fof(f35,axiom,(
% 57.19/7.67 modus_ponens ),
% 57.19/7.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.19/7.67 fof(f38,axiom,(
% 57.19/7.67 r3 ),
% 57.19/7.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.19/7.67 fof(f39,axiom,(
% 57.19/7.67 r4 ),
% 57.19/7.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.19/7.67 fof(f40,axiom,(
% 57.19/7.67 r5 ),
% 57.19/7.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.19/7.67 fof(f42,axiom,(
% 57.19/7.67 op_or ),
% 57.19/7.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.19/7.67 fof(f43,axiom,(
% 57.19/7.67 op_implies_and ),
% 57.19/7.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.19/7.67 fof(f45,conjecture,(
% 57.19/7.67 and_3 ),
% 57.19/7.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.19/7.67 fof(f46,negated_conjecture,(
% 57.19/7.67 ~(and_3 )),
% 57.19/7.67 inference(negated_conjecture,[status(cth)],[f45])).
% 57.19/7.67 fof(f47,plain,(
% 57.19/7.67 modus_ponens<=>(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(implies(X,Y)))|is_a_theorem(Y)))),
% 57.19/7.67 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 57.19/7.67 fof(f48,plain,(
% 57.19/7.67 (~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))))),
% 57.19/7.67 inference(NNF_transformation,[status(thm)],[f47])).
% 57.19/7.67 fof(f49,plain,(
% 57.19/7.67 (~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))))),
% 57.19/7.68 inference(miniscoping,[status(thm)],[f48])).
% 57.19/7.68 fof(f50,plain,(
% 57.19/7.68 (~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)))),
% 57.19/7.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl),skolemize(X,sK1_skl)],[f49])).
% 57.19/7.68 fof(f51,plain,(
% 57.19/7.68 ![X0,X1]: (~modus_ponens|~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1))),
% 57.19/7.68 inference(cnf_transformation,[status(thm)],[f50])).
% 57.19/7.68 fof(f85,plain,(
% 57.19/7.68 (~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))))))),
% 57.19/7.68 inference(NNF_transformation,[status(thm)],[f9])).
% 57.19/7.68 fof(f86,plain,(
% 57.19/7.68 (~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)))))),
% 57.19/7.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl,sK18_skl]),skolemize(X,sK17_skl),skolemize(Y,sK18_skl)],[f85])).
% 57.19/7.68 fof(f88,plain,(
% 57.19/7.68 and_3|~is_a_theorem(implies(sK17_skl,implies(sK18_skl,and(sK17_skl,sK18_skl))))),
% 57.19/7.68 inference(cnf_transformation,[status(thm)],[f86])).
% 57.19/7.68 fof(f125,plain,(
% 57.19/7.68 (~cn1|(![P,Q,R]: is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R))))))&(cn1|(?[P,Q,R]: ~is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R))))))),
% 57.19/7.68 inference(NNF_transformation,[status(thm)],[f19])).
% 57.19/7.68 fof(f126,plain,(
% 57.19/7.68 (~cn1|(![P,Q,R]: is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R))))))&(cn1|~is_a_theorem(implies(implies(sK38_skl,sK39_skl),implies(implies(sK39_skl,sK40_skl),implies(sK38_skl,sK40_skl)))))),
% 57.19/7.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK38_skl,sK39_skl,sK40_skl]),skolemize(P,sK38_skl),skolemize(Q,sK39_skl),skolemize(R,sK40_skl)],[f125])).
% 57.19/7.68 fof(f127,plain,(
% 57.19/7.68 ![X0,X1,X2]: (~cn1|is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 57.19/7.68 inference(cnf_transformation,[status(thm)],[f126])).
% 57.19/7.68 fof(f128,plain,(
% 57.19/7.68 cn1|~is_a_theorem(implies(implies(sK38_skl,sK39_skl),implies(implies(sK39_skl,sK40_skl),implies(sK38_skl,sK40_skl))))),
% 57.19/7.68 inference(cnf_transformation,[status(thm)],[f126])).
% 57.19/7.68 fof(f145,plain,(
% 57.19/7.68 (~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)))))),
% 57.19/7.68 inference(NNF_transformation,[status(thm)],[f24])).
% 57.19/7.68 fof(f146,plain,(
% 57.19/7.68 (~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))))),
% 57.19/7.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl]),skolemize(P,sK47_skl),skolemize(Q,sK48_skl)],[f145])).
% 57.19/7.68 fof(f147,plain,(
% 57.19/7.68 ![X0,X1]: (~r3|is_a_theorem(implies(or(X0,X1),or(X1,X0))))),
% 57.19/7.68 inference(cnf_transformation,[status(thm)],[f146])).
% 57.19/7.68 fof(f149,plain,(
% 57.19/7.68 (~r4|(![P,Q,R]: is_a_theorem(implies(or(P,or(Q,R)),or(Q,or(P,R))))))&(r4|(?[P,Q,R]: ~is_a_theorem(implies(or(P,or(Q,R)),or(Q,or(P,R))))))),
% 57.19/7.68 inference(NNF_transformation,[status(thm)],[f25])).
% 57.19/7.68 fof(f150,plain,(
% 57.19/7.68 (~r4|(![P,Q,R]: is_a_theorem(implies(or(P,or(Q,R)),or(Q,or(P,R))))))&(r4|~is_a_theorem(implies(or(sK49_skl,or(sK50_skl,sK51_skl)),or(sK50_skl,or(sK49_skl,sK51_skl)))))),
% 57.19/7.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK49_skl,sK50_skl,sK51_skl]),skolemize(P,sK49_skl),skolemize(Q,sK50_skl),skolemize(R,sK51_skl)],[f149])).
% 57.19/7.68 fof(f151,plain,(
% 57.19/7.68 ![X0,X1,X2]: (~r4|is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 57.19/7.68 inference(cnf_transformation,[status(thm)],[f150])).
% 57.19/7.68 fof(f153,plain,(
% 57.19/7.68 (~r5|(![P,Q,R]: is_a_theorem(implies(implies(Q,R),implies(or(P,Q),or(P,R))))))&(r5|(?[P,Q,R]: ~is_a_theorem(implies(implies(Q,R),implies(or(P,Q),or(P,R))))))),
% 57.19/7.68 inference(NNF_transformation,[status(thm)],[f26])).
% 57.19/7.68 fof(f154,plain,(
% 57.19/7.68 (~r5|(![P,Q,R]: is_a_theorem(implies(implies(Q,R),implies(or(P,Q),or(P,R))))))&(r5|~is_a_theorem(implies(implies(sK53_skl,sK54_skl),implies(or(sK52_skl,sK53_skl),or(sK52_skl,sK54_skl)))))),
% 57.19/7.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK52_skl,sK53_skl,sK54_skl]),skolemize(P,sK52_skl),skolemize(Q,sK53_skl),skolemize(R,sK54_skl)],[f153])).
% 57.19/7.68 fof(f155,plain,(
% 57.19/7.68 ![X0,X1,X2]: (~r5|is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 57.19/7.68 inference(cnf_transformation,[status(thm)],[f154])).
% 57.19/7.68 fof(f157,plain,(
% 57.19/7.68 ~op_or|(![X,Y]: or(X,Y)=not(and(not(X),not(Y))))),
% 57.19/7.68 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 57.19/7.68 fof(f158,plain,(
% 57.19/7.68 ![X0,X1]: (~op_or|or(X0,X1)=not(and(not(X0),not(X1))))),
% 57.19/7.68 inference(cnf_transformation,[status(thm)],[f157])).
% 57.19/7.68 fof(f159,plain,(
% 57.19/7.68 ~op_and|(![X,Y]: and(X,Y)=not(or(not(X),not(Y))))),
% 57.19/7.68 inference(pre_NNF_transformation,[status(thm)],[f28])).
% 57.19/7.68 fof(f160,plain,(
% 57.19/7.68 ![X0,X1]: (~op_and|and(X0,X1)=not(or(not(X0),not(X1))))),
% 57.19/7.68 inference(cnf_transformation,[status(thm)],[f159])).
% 57.19/7.68 fof(f161,plain,(
% 57.19/7.68 ~op_implies_and|(![X,Y]: implies(X,Y)=not(and(X,not(Y))))),
% 57.19/7.68 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 57.19/7.68 fof(f162,plain,(
% 57.19/7.68 ![X0,X1]: (~op_implies_and|implies(X0,X1)=not(and(X0,not(X1))))),
% 57.19/7.68 inference(cnf_transformation,[status(thm)],[f161])).
% 57.19/7.68 fof(f163,plain,(
% 57.19/7.68 ~op_implies_or|(![X,Y]: implies(X,Y)=or(not(X),Y))),
% 57.19/7.68 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 57.19/7.68 fof(f164,plain,(
% 57.19/7.68 ![X0,X1]: (~op_implies_or|implies(X0,X1)=or(not(X0),X1))),
% 57.19/7.68 inference(cnf_transformation,[status(thm)],[f163])).
% 57.19/7.68 fof(f167,plain,(
% 57.19/7.68 op_implies_or),
% 57.19/7.68 inference(cnf_transformation,[status(thm)],[f32])).
% 57.19/7.68 fof(f168,plain,(
% 57.19/7.68 op_and),
% 57.19/7.68 inference(cnf_transformation,[status(thm)],[f33])).
% 57.19/7.68 fof(f170,plain,(
% 57.19/7.68 modus_ponens),
% 57.19/7.68 inference(cnf_transformation,[status(thm)],[f35])).
% 57.19/7.68 fof(f173,plain,(
% 57.19/7.68 r3),
% 57.19/7.68 inference(cnf_transformation,[status(thm)],[f38])).
% 57.19/7.68 fof(f174,plain,(
% 57.19/7.68 r4),
% 57.19/7.68 inference(cnf_transformation,[status(thm)],[f39])).
% 57.19/7.68 fof(f175,plain,(
% 57.19/7.68 r5),
% 57.19/7.68 inference(cnf_transformation,[status(thm)],[f40])).
% 57.19/7.68 fof(f177,plain,(
% 57.19/7.68 op_or),
% 57.19/7.68 inference(cnf_transformation,[status(thm)],[f42])).
% 57.19/7.68 fof(f178,plain,(
% 57.19/7.68 op_implies_and),
% 57.19/7.68 inference(cnf_transformation,[status(thm)],[f43])).
% 57.19/7.68 fof(f180,plain,(
% 57.19/7.68 ~and_3),
% 57.19/7.68 inference(cnf_transformation,[status(thm)],[f46])).
% 57.19/7.68 fof(f181,plain,(
% 57.19/7.68 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1))),
% 57.19/7.68 inference(backward_subsumption_resolution,[status(thm)],[f51,f170])).
% 57.19/7.68 fof(f184,plain,(
% 57.19/7.68 ~is_a_theorem(implies(sK17_skl,implies(sK18_skl,and(sK17_skl,sK18_skl))))),
% 57.19/7.68 inference(forward_subsumption_resolution,[status(thm)],[f88,f180])).
% 57.19/7.68 fof(f188,plain,(
% 57.19/7.68 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1))),
% 57.19/7.68 inference(forward_subsumption_resolution,[status(thm)],[f164,f167])).
% 57.19/7.68 fof(f195,plain,(
% 57.19/7.68 ![X0,X1]: (is_a_theorem(implies(or(X0,X1),or(X1,X0))))),
% 57.19/7.68 inference(forward_subsumption_resolution,[status(thm)],[f147,f173])).
% 57.19/7.68 fof(f197,plain,(
% 57.19/7.68 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),or(X1,not(X0)))))),
% 57.19/7.68 inference(paramodulation,[status(thm)],[f188,f195])).
% 57.19/7.68 fof(f198,plain,(
% 57.19/7.68 ![X0,X1]: (is_a_theorem(implies(or(X0,not(X1)),implies(X1,X0))))),
% 57.19/7.68 inference(paramodulation,[status(thm)],[f188,f195])).
% 57.19/7.68 fof(f199,plain,(
% 57.19/7.68 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))))),
% 57.19/7.68 inference(forward_subsumption_resolution,[status(thm)],[f151,f174])).
% 57.19/7.68 fof(f200,plain,(
% 57.19/7.68 ![X0,X1,X2]: (~is_a_theorem(or(X0,or(X1,X2)))|is_a_theorem(or(X1,or(X0,X2))))),
% 57.19/7.68 inference(resolution,[status(thm)],[f199,f181])).
% 57.19/7.68 fof(f210,plain,(
% 57.19/7.68 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 57.19/7.68 inference(forward_subsumption_resolution,[status(thm)],[f155,f175])).
% 57.19/7.68 fof(f212,plain,(
% 57.19/7.68 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))))),
% 57.19/7.68 inference(paramodulation,[status(thm)],[f188,f210])).
% 57.19/7.68 fof(f214,plain,(
% 57.19/7.68 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))))),
% 57.19/7.68 inference(forward_demodulation,[status(thm)],[f188,f212])).
% 57.19/7.68 fof(f225,plain,(
% 57.19/7.68 ![X0,X1]: (or(X0,X1)=not(and(not(X0),not(X1))))),
% 57.19/7.68 inference(forward_subsumption_resolution,[status(thm)],[f158,f177])).
% 57.19/7.68 fof(f229,plain,(
% 57.19/7.68 ![X0,X1]: (~op_and|and(X0,X1)=not(implies(X0,not(X1))))),
% 57.19/7.68 inference(forward_demodulation,[status(thm)],[f188,f160])).
% 57.19/7.68 fof(f230,plain,(
% 57.19/7.68 ![X0,X1]: (and(X0,X1)=not(implies(X0,not(X1))))),
% 57.19/7.68 inference(forward_subsumption_resolution,[status(thm)],[f229,f168])).
% 57.19/7.68 fof(f235,plain,(
% 57.19/7.68 ![X0,X1,X2]: (implies(implies(X0,not(X1)),X2)=or(and(X0,X1),X2))),
% 57.19/7.68 inference(paramodulation,[status(thm)],[f230,f188])).
% 57.19/7.68 fof(f236,plain,(
% 57.19/7.68 ![X0,X1]: (or(X0,X1)=implies(not(X0),X1))),
% 57.19/7.68 inference(backward_demodulation,[status(thm)],[f237,f225])).
% 57.19/7.68 fof(f237,plain,(
% 57.19/7.68 ![X0,X1]: (implies(X0,X1)=not(and(X0,not(X1))))),
% 57.19/7.68 inference(forward_subsumption_resolution,[status(thm)],[f162,f178])).
% 57.19/7.68 fof(f251,plain,(
% 57.19/7.68 ![X0,X1,X2]: (or(and(X0,not(X1)),X2)=implies(implies(X0,X1),X2))),
% 57.19/7.68 inference(paramodulation,[status(thm)],[f237,f236])).
% 57.19/7.68 fof(f289,plain,(
% 57.19/7.68 ![X0,X1]: (is_a_theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))))),
% 57.19/7.68 inference(paramodulation,[status(thm)],[f188,f197])).
% 57.19/7.68 fof(f315,plain,(
% 57.19/7.68 ![X0,X1,X2]: (~is_a_theorem(or(X0,or(not(X1),X2)))|is_a_theorem(implies(X1,or(X0,X2))))),
% 45.53/7.78 inference(paramodulation,[status(thm)],[f188,f200])).
% 45.53/7.78 fof(f317,plain,(
% 45.53/7.78 ![X0,X1,X2]: (~is_a_theorem(or(X0,implies(X1,X2)))|is_a_theorem(implies(X1,or(X0,X2))))),
% 45.53/7.78 inference(forward_demodulation,[status(thm)],[f188,f315])).
% 45.53/7.78 fof(f1309,plain,(
% 45.53/7.78 ![X0,X1]: (is_a_theorem(or(and(X0,X1),implies(X1,not(X0)))))),
% 45.53/7.78 inference(forward_demodulation,[status(thm)],[f235,f289])).
% 45.53/7.78 fof(f1493,plain,(
% 45.53/7.78 ![X0,X1]: (is_a_theorem(implies(X0,or(and(X1,X0),not(X1)))))),
% 45.53/7.78 inference(resolution,[status(thm)],[f317,f1309])).
% 45.53/7.78 fof(f1502,plain,(
% 45.53/7.78 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(X2,or(and(X0,not(X1)),X3))))),
% 45.53/7.78 inference(paramodulation,[status(thm)],[f251,f317])).
% 45.53/7.78 fof(f1503,plain,(
% 45.53/7.78 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X1,or(not(X0),X2))))),
% 45.53/7.78 inference(paramodulation,[status(thm)],[f188,f317])).
% 45.53/7.78 fof(f1510,plain,(
% 45.53/7.78 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(X0,X1),implies(X2,X3)))|is_a_theorem(implies(X2,implies(implies(X0,X1),X3))))),
% 45.53/7.78 inference(forward_demodulation,[status(thm)],[f251,f1502])).
% 45.53/7.78 fof(f1511,plain,(
% 45.53/7.78 ![X0,X1,X2]: (~is_a_theorem(implies(X0,implies(X1,X2)))|is_a_theorem(implies(X1,implies(X0,X2))))),
% 45.53/7.78 inference(forward_demodulation,[status(thm)],[f188,f1503])).
% 45.53/7.78 fof(f76334,plain,(
% 45.53/7.78 ~is_a_theorem(implies(implies(sK39_skl,sK40_skl),implies(implies(sK38_skl,sK39_skl),implies(sK38_skl,sK40_skl))))|cn1),
% 45.53/7.78 inference(resolution,[status(thm)],[f1510,f128])).
% 45.53/7.78 fof(f76352,plain,(
% 45.53/7.78 cn1),
% 45.53/7.78 inference(forward_subsumption_resolution,[status(thm)],[f76334,f214])).
% 45.53/7.78 fof(f76380,plain,(
% 45.53/7.78 ~is_a_theorem(implies(sK18_skl,implies(sK17_skl,and(sK17_skl,sK18_skl))))),
% 45.53/7.78 inference(resolution,[status(thm)],[f1511,f184])).
% 45.53/7.78 fof(f76827,plain,(
% 45.53/7.78 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 45.53/7.78 inference(backward_subsumption_resolution,[status(thm)],[f127,f76352])).
% 45.53/7.78 fof(f76832,plain,(
% 45.53/7.78 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 45.53/7.78 inference(resolution,[status(thm)],[f76827,f181])).
% 45.53/7.78 fof(f76883,plain,(
% 45.53/7.78 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X1,X2))|is_a_theorem(implies(X0,X2)))),
% 45.53/7.78 inference(resolution,[status(thm)],[f76832,f181])).
% 45.53/7.78 fof(f77183,plain,(
% 45.53/7.78 ![X0]: (~is_a_theorem(implies(sK18_skl,X0))|~is_a_theorem(implies(X0,implies(sK17_skl,and(sK17_skl,sK18_skl)))))),
% 45.53/7.78 inference(resolution,[status(thm)],[f76883,f76380])).
% 45.53/7.78 fof(f78096,plain,(
% 45.53/7.78 ~is_a_theorem(implies(sK18_skl,or(and(sK17_skl,sK18_skl),not(sK17_skl))))),
% 45.53/7.78 inference(resolution,[status(thm)],[f77183,f198])).
% 45.53/7.78 fof(f78108,plain,(
% 45.53/7.78 $false),
% 45.53/7.78 inference(forward_subsumption_resolution,[status(thm)],[f78096,f1493])).
% 45.53/7.78 % SZS output end CNFRefutation for theBenchmark.p
% 7.58/7.85 % Elapsed time: 7.477238 seconds
% 7.58/7.85 % CPU time: 58.796172 seconds
% 7.58/7.85 % Total memory used: 960.233 MB
% 7.58/7.85 % Net memory used: 916.380 MB
%------------------------------------------------------------------------------