%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL470+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 : n001.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 01:10:08 PM UTC 2026
% Result : Theorem 50.05s 11.74s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL470+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
% 0.10/5.38 % Computer : n001.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 00:40:48 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.40 % Drodi V4.1.1
% 50.05/11.74 % Refutation found
% 50.05/11.74 % SZS status Theorem for theBenchmark: Theorem is valid
% 50.05/11.74 % SZS output start CNFRefutation for theBenchmark
% 50.05/11.74 fof(f1,axiom,(
% 50.05/11.74 ( modus_ponens<=> (! [X,Y] :( ( is_a_theorem(X)& is_a_theorem(implies(X,Y)) )=> is_a_theorem(Y) ) )) ),
% 50.05/11.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 50.05/11.74 fof(f11,axiom,(
% 50.05/11.74 ( or_2<=> (! [X,Y] : is_a_theorem(implies(Y,or(X,Y))) )) ),
% 50.05/11.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 50.05/11.74 fof(f19,axiom,(
% 50.05/11.74 ( cn1<=> (! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R)))) )) ),
% 50.05/11.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 50.05/11.74 fof(f20,axiom,(
% 50.05/11.74 ( cn2<=> (! [P,Q] : is_a_theorem(implies(P,implies(not(P),Q))) )) ),
% 50.05/11.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 50.05/11.74 fof(f21,axiom,(
% 50.05/11.74 ( cn3<=> (! [P] : is_a_theorem(implies(implies(not(P),P),P)) )) ),
% 50.05/11.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 50.05/11.74 fof(f27,axiom,(
% 50.05/11.74 ( op_or=> (! [X,Y] : or(X,Y) = not(and(not(X),not(Y))) )) ),
% 50.05/11.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 50.05/11.74 fof(f29,axiom,(
% 50.05/11.74 ( op_implies_and=> (! [X,Y] : implies(X,Y) = not(and(X,not(Y))) )) ),
% 50.05/11.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 50.05/11.74 fof(f32,axiom,(
% 50.05/11.74 op_or ),
% 50.05/11.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 50.05/11.74 fof(f35,axiom,(
% 50.05/11.74 modus_ponens ),
% 50.05/11.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 50.05/11.74 fof(f36,axiom,(
% 50.05/11.74 cn1 ),
% 50.05/11.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 50.05/11.74 fof(f37,axiom,(
% 50.05/11.74 cn2 ),
% 50.05/11.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 50.05/11.74 fof(f38,axiom,(
% 50.05/11.74 cn3 ),
% 50.05/11.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 50.05/11.74 fof(f41,axiom,(
% 50.05/11.74 op_implies_and ),
% 50.05/11.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 50.05/11.74 fof(f43,conjecture,(
% 50.05/11.74 or_2 ),
% 50.05/11.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 50.05/11.74 fof(f44,negated_conjecture,(
% 50.05/11.74 ~(or_2 )),
% 50.05/11.74 inference(negated_conjecture,[status(cth)],[f43])).
% 50.05/11.74 fof(f45,plain,(
% 50.05/11.74 modus_ponens<=>(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(implies(X,Y)))|is_a_theorem(Y)))),
% 50.05/11.74 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 50.05/11.74 fof(f46,plain,(
% 50.05/11.74 (~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))))),
% 50.05/11.74 inference(NNF_transformation,[status(thm)],[f45])).
% 50.05/11.74 fof(f47,plain,(
% 50.05/11.74 (~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))))),
% 50.05/11.74 inference(miniscoping,[status(thm)],[f46])).
% 50.05/11.74 fof(f48,plain,(
% 50.05/11.74 (~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)))),
% 50.05/11.74 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl),skolemize(X,sK1_skl)],[f47])).
% 50.05/11.74 fof(f49,plain,(
% 50.05/11.74 ![X0,X1]: (~modus_ponens|~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1))),
% 50.05/11.74 inference(cnf_transformation,[status(thm)],[f48])).
% 50.05/11.74 fof(f91,plain,(
% 50.05/11.74 (~or_2|(![X,Y]: is_a_theorem(implies(Y,or(X,Y)))))&(or_2|(?[X,Y]: ~is_a_theorem(implies(Y,or(X,Y)))))),
% 50.05/11.74 inference(NNF_transformation,[status(thm)],[f11])).
% 50.05/11.74 fof(f92,plain,(
% 50.05/11.74 (~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))))),
% 50.05/11.74 inference(skolemize,[status(esa),new_symbols(skolem,[sK21_skl,sK22_skl]),skolemize(X,sK21_skl),skolemize(Y,sK22_skl)],[f91])).
% 50.05/11.74 fof(f94,plain,(
% 50.05/11.74 or_2|~is_a_theorem(implies(sK22_skl,or(sK21_skl,sK22_skl)))),
% 50.05/11.74 inference(cnf_transformation,[status(thm)],[f92])).
% 50.05/11.74 fof(f123,plain,(
% 50.05/11.74 (~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))))))),
% 50.05/11.74 inference(NNF_transformation,[status(thm)],[f19])).
% 50.05/11.74 fof(f124,plain,(
% 50.05/11.74 (~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)))))),
% 50.05/11.74 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)],[f123])).
% 50.05/11.74 fof(f125,plain,(
% 50.05/11.74 ![X0,X1,X2]: (~cn1|is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 50.05/11.74 inference(cnf_transformation,[status(thm)],[f124])).
% 50.05/11.74 fof(f127,plain,(
% 50.05/11.74 (~cn2|(![P,Q]: is_a_theorem(implies(P,implies(not(P),Q)))))&(cn2|(?[P,Q]: ~is_a_theorem(implies(P,implies(not(P),Q)))))),
% 50.05/11.74 inference(NNF_transformation,[status(thm)],[f20])).
% 50.05/11.74 fof(f128,plain,(
% 50.05/11.74 (~cn2|(![P,Q]: is_a_theorem(implies(P,implies(not(P),Q)))))&(cn2|~is_a_theorem(implies(sK41_skl,implies(not(sK41_skl),sK42_skl))))),
% 50.05/11.74 inference(skolemize,[status(esa),new_symbols(skolem,[sK41_skl,sK42_skl]),skolemize(P,sK41_skl),skolemize(Q,sK42_skl)],[f127])).
% 50.05/11.74 fof(f129,plain,(
% 50.05/11.74 ![X0,X1]: (~cn2|is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 50.05/11.74 inference(cnf_transformation,[status(thm)],[f128])).
% 50.05/11.74 fof(f131,plain,(
% 50.05/11.74 (~cn3|(![P]: is_a_theorem(implies(implies(not(P),P),P))))&(cn3|(?[P]: ~is_a_theorem(implies(implies(not(P),P),P))))),
% 50.05/11.74 inference(NNF_transformation,[status(thm)],[f21])).
% 50.05/11.74 fof(f132,plain,(
% 50.05/11.74 (~cn3|(![P]: is_a_theorem(implies(implies(not(P),P),P))))&(cn3|~is_a_theorem(implies(implies(not(sK43_skl),sK43_skl),sK43_skl)))),
% 50.05/11.74 inference(skolemize,[status(esa),new_symbols(skolem,[sK43_skl]),skolemize(P,sK43_skl)],[f131])).
% 50.05/11.74 fof(f133,plain,(
% 50.05/11.74 ![X0]: (~cn3|is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 50.05/11.74 inference(cnf_transformation,[status(thm)],[f132])).
% 50.05/11.74 fof(f155,plain,(
% 50.05/11.74 ~op_or|(![X,Y]: or(X,Y)=not(and(not(X),not(Y))))),
% 50.05/11.74 inference(pre_NNF_transformation,[status(thm)],[f27])).
% 50.05/11.74 fof(f156,plain,(
% 50.05/11.74 ![X0,X1]: (~op_or|or(X0,X1)=not(and(not(X0),not(X1))))),
% 50.05/11.74 inference(cnf_transformation,[status(thm)],[f155])).
% 50.05/11.74 fof(f159,plain,(
% 50.05/11.74 ~op_implies_and|(![X,Y]: implies(X,Y)=not(and(X,not(Y))))),
% 50.05/11.74 inference(pre_NNF_transformation,[status(thm)],[f29])).
% 50.05/11.74 fof(f160,plain,(
% 50.05/11.74 ![X0,X1]: (~op_implies_and|implies(X0,X1)=not(and(X0,not(X1))))),
% 50.05/11.74 inference(cnf_transformation,[status(thm)],[f159])).
% 50.05/11.74 fof(f165,plain,(
% 50.05/11.74 op_or),
% 50.05/11.74 inference(cnf_transformation,[status(thm)],[f32])).
% 50.05/11.74 fof(f168,plain,(
% 50.05/11.74 modus_ponens),
% 50.05/11.74 inference(cnf_transformation,[status(thm)],[f35])).
% 50.05/11.74 fof(f169,plain,(
% 50.05/11.74 cn1),
% 50.05/11.74 inference(cnf_transformation,[status(thm)],[f36])).
% 50.05/11.74 fof(f170,plain,(
% 50.05/11.74 cn2),
% 50.05/11.74 inference(cnf_transformation,[status(thm)],[f37])).
% 50.05/11.74 fof(f171,plain,(
% 50.05/11.74 cn3),
% 50.05/11.74 inference(cnf_transformation,[status(thm)],[f38])).
% 50.05/11.74 fof(f174,plain,(
% 50.05/11.74 op_implies_and),
% 50.05/11.74 inference(cnf_transformation,[status(thm)],[f41])).
% 50.05/11.74 fof(f176,plain,(
% 50.05/11.74 ~or_2),
% 50.05/11.74 inference(cnf_transformation,[status(thm)],[f44])).
% 50.05/11.74 fof(f177,plain,(
% 50.05/11.74 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1))),
% 50.05/11.74 inference(forward_subsumption_resolution,[status(thm)],[f49,f168])).
% 50.05/11.74 fof(f179,plain,(
% 50.05/11.74 ![X0,X1]: (is_a_theorem(implies(X0,implies(not(X0),X1))))),
% 50.05/11.74 inference(forward_subsumption_resolution,[status(thm)],[f129,f170])).
% 50.05/11.74 fof(f182,plain,(
% 50.05/11.74 ![X0]: (is_a_theorem(implies(implies(not(X0),X0),X0)))),
% 50.05/11.74 inference(forward_subsumption_resolution,[status(thm)],[f133,f171])).
% 50.05/11.74 fof(f185,plain,(
% 50.05/11.74 ~is_a_theorem(implies(sK22_skl,or(sK21_skl,sK22_skl)))),
% 50.05/11.74 inference(forward_subsumption_resolution,[status(thm)],[f94,f176])).
% 50.05/11.74 fof(f186,plain,(
% 50.05/11.74 ![X0,X1]: (implies(X0,X1)=not(and(X0,not(X1))))),
% 50.05/11.74 inference(forward_subsumption_resolution,[status(thm)],[f160,f174])).
% 50.05/11.74 fof(f187,plain,(
% 50.05/11.74 ![X0,X1,X2]: (implies(X0,and(X1,not(X2)))=not(and(X0,implies(X1,X2))))),
% 50.05/11.74 inference(paramodulation,[status(thm)],[f186,f186])).
% 50.05/11.74 fof(f191,plain,(
% 50.05/11.74 ![X0,X1]: (~op_or|or(X0,X1)=implies(not(X0),X1))),
% 50.05/11.74 inference(forward_demodulation,[status(thm)],[f186,f156])).
% 50.05/11.74 fof(f195,plain,(
% 50.05/11.74 ![X0]: (is_a_theorem(implies(or(X0,X0),X0)))),
% 50.05/11.74 inference(backward_demodulation,[status(thm)],[f198,f182])).
% 50.05/11.74 fof(f197,plain,(
% 50.05/11.74 ![X0,X1]: (is_a_theorem(implies(X0,or(X0,X1))))),
% 50.05/11.74 inference(backward_demodulation,[status(thm)],[f198,f179])).
% 50.05/11.74 fof(f198,plain,(
% 50.05/11.74 ![X0,X1]: (or(X0,X1)=implies(not(X0),X1))),
% 50.05/11.74 inference(forward_subsumption_resolution,[status(thm)],[f191,f165])).
% 50.05/11.74 fof(f200,plain,(
% 50.05/11.74 ![X0,X1]: (~is_a_theorem(not(X0))|~is_a_theorem(or(X0,X1))|is_a_theorem(X1))),
% 50.05/11.74 inference(paramodulation,[status(thm)],[f198,f177])).
% 50.05/11.74 fof(f313,plain,(
% 50.05/11.74 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))))),
% 50.05/11.74 inference(forward_subsumption_resolution,[status(thm)],[f125,f169])).
% 50.05/11.74 fof(f314,plain,(
% 50.05/11.74 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(X0,X2))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f313,f177])).
% 50.05/11.74 fof(f316,plain,(
% 50.05/11.74 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),implies(implies(X1,X2),implies(not(X0),X2)))))),
% 50.05/11.74 inference(paramodulation,[status(thm)],[f198,f313])).
% 50.05/11.74 fof(f322,plain,(
% 50.05/11.74 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),implies(implies(X1,X2),or(X0,X2)))))),
% 50.05/11.74 inference(forward_demodulation,[status(thm)],[f198,f316])).
% 50.05/11.74 fof(f329,plain,(
% 50.05/11.74 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f314,f313])).
% 50.05/11.74 fof(f332,plain,(
% 50.05/11.74 ![X0,X1]: (is_a_theorem(implies(implies(X0,X1),implies(or(X0,X0),X1))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f314,f195])).
% 50.05/11.74 fof(f333,plain,(
% 50.05/11.74 ![X0,X1,X2]: (is_a_theorem(implies(implies(or(X0,X1),X2),implies(X0,X2))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f314,f197])).
% 50.05/11.74 fof(f334,plain,(
% 50.05/11.74 ![X0,X1,X2]: (~is_a_theorem(or(X0,X1))|is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))))),
% 50.05/11.74 inference(paramodulation,[status(thm)],[f198,f314])).
% 50.05/11.74 fof(f336,plain,(
% 50.05/11.74 ![X0,X1,X2]: (~is_a_theorem(or(X0,X1))|is_a_theorem(implies(implies(X1,X2),or(X0,X2))))),
% 50.05/11.74 inference(forward_demodulation,[status(thm)],[f198,f334])).
% 50.05/11.74 fof(f351,plain,(
% 50.05/11.74 ![X0,X1,X2]: (~is_a_theorem(implies(or(X0,X1),X2))|is_a_theorem(implies(X0,X2)))),
% 50.05/11.74 inference(resolution,[status(thm)],[f333,f177])).
% 50.05/11.74 fof(f355,plain,(
% 50.05/11.74 ![X0,X1,X2]: (is_a_theorem(implies(implies(or(not(X0),X1),X2),or(X0,X2))))),
% 50.05/11.74 inference(paramodulation,[status(thm)],[f198,f333])).
% 50.05/11.74 fof(f404,plain,(
% 50.05/11.74 ![X0]: (is_a_theorem(implies(X0,X0)))),
% 50.05/11.74 inference(resolution,[status(thm)],[f351,f195])).
% 50.05/11.74 fof(f415,plain,(
% 50.05/11.74 ![X0,X1]: (is_a_theorem(not(and(and(X0,not(X1)),implies(X0,X1)))))),
% 50.05/11.74 inference(paramodulation,[status(thm)],[f187,f404])).
% 50.05/11.74 fof(f615,plain,(
% 50.05/11.74 ![X0,X1,X2]: (~is_a_theorem(or(and(and(X0,not(X1)),implies(X0,X1)),X2))|is_a_theorem(X2))),
% 50.05/11.74 inference(resolution,[status(thm)],[f415,f200])).
% 50.05/11.74 fof(f628,plain,(
% 50.05/11.74 ![X0,X1,X2]: (~is_a_theorem(implies(or(not(X0),X1),X2))|is_a_theorem(or(X0,X2)))),
% 50.05/11.74 inference(resolution,[status(thm)],[f355,f177])).
% 50.05/11.74 fof(f677,plain,(
% 50.05/11.74 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(implies(X1,X2),or(X0,X2)))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f322,f351])).
% 50.05/11.74 fof(f679,plain,(
% 50.05/11.74 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(implies(implies(X0,X1),or(X2,X1)),X3),implies(or(X2,X0),X3))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f322,f314])).
% 50.05/11.74 fof(f695,plain,(
% 50.05/11.74 ![X0,X1,X2]: (~is_a_theorem(X0)|is_a_theorem(implies(implies(X1,X2),or(X0,X2))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f677,f177])).
% 50.05/11.74 fof(f741,plain,(
% 50.05/11.74 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),or(implies(X2,X2),X1))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f695,f404])).
% 50.05/11.74 fof(f761,plain,(
% 50.05/11.74 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),or(implies(X2,X2),X1))))),
% 50.05/11.74 inference(paramodulation,[status(thm)],[f198,f741])).
% 50.05/11.74 fof(f807,plain,(
% 50.05/11.74 ![X0,X1,X2]: (is_a_theorem(implies(X0,or(implies(X1,X1),X2))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f761,f351])).
% 50.05/11.74 fof(f834,plain,(
% 50.05/11.74 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(or(implies(X0,X0),X1),X2),implies(X3,X2))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f807,f314])).
% 50.05/11.74 fof(f1725,plain,(
% 50.05/11.74 ![X0,X1,X2,X3]: (~is_a_theorem(implies(or(implies(X0,X0),X1),X2))|is_a_theorem(implies(X3,X2)))),
% 50.05/11.74 inference(resolution,[status(thm)],[f834,f177])).
% 50.05/11.74 fof(f2515,plain,(
% 50.05/11.74 ![X0,X1]: (is_a_theorem(implies(X0,implies(X1,X1))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f1725,f195])).
% 50.05/11.74 fof(f2538,plain,(
% 50.05/11.74 ![X0,X1]: (is_a_theorem(or(X0,implies(X1,X1))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f2515,f628])).
% 50.05/11.74 fof(f2542,plain,(
% 50.05/11.74 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f2515,f314])).
% 50.05/11.74 fof(f2558,plain,(
% 50.05/11.74 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(X0,X0),X1),or(X2,X1))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f2538,f336])).
% 50.05/11.74 fof(f2753,plain,(
% 50.05/11.74 ![X0,X1,X2]: (~is_a_theorem(implies(implies(X0,X0),X1))|is_a_theorem(implies(X2,X1)))),
% 50.05/11.74 inference(resolution,[status(thm)],[f2542,f177])).
% 50.05/11.74 fof(f2838,plain,(
% 50.05/11.74 ![X0,X1]: (is_a_theorem(implies(X0,implies(or(X1,X1),X1))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f2753,f332])).
% 50.05/11.74 fof(f2994,plain,(
% 50.05/11.74 ![X0,X1]: (is_a_theorem(or(X0,implies(or(X1,X1),X1))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f2838,f628])).
% 50.05/11.74 fof(f2999,plain,(
% 50.05/11.74 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(or(X0,X0),X0),X1),implies(X2,X1))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f2838,f314])).
% 50.05/11.74 fof(f3079,plain,(
% 50.05/11.74 ![X0,X1,X2]: (is_a_theorem(implies(implies(implies(or(X0,X0),X0),X1),or(X2,X1))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f2994,f336])).
% 50.05/11.74 fof(f3241,plain,(
% 50.05/11.74 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))|is_a_theorem(implies(implies(X2,X0),X3)))),
% 50.05/11.74 inference(resolution,[status(thm)],[f329,f177])).
% 50.05/11.74 fof(f3550,plain,(
% 50.05/11.74 ![X0,X1,X2,X3]: (~is_a_theorem(implies(implies(implies(X0,X1),or(X2,X1)),X3))|is_a_theorem(implies(or(X2,X0),X3)))),
% 50.05/11.74 inference(resolution,[status(thm)],[f679,f177])).
% 50.05/11.74 fof(f24962,plain,(
% 50.05/11.74 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,or(X1,X1)),or(X2,implies(X0,X1)))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f3241,f3079])).
% 50.05/11.74 fof(f24965,plain,(
% 50.05/11.74 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,or(X1,X1)),implies(X2,implies(X0,X1)))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f3241,f2999])).
% 50.05/11.74 fof(f24978,plain,(
% 50.05/11.74 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),or(X2,implies(X0,X1)))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f3241,f2558])).
% 50.05/11.74 fof(f25185,plain,(
% 50.05/11.74 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),or(X2,implies(not(X0),X1)))))),
% 50.05/11.74 inference(paramodulation,[status(thm)],[f198,f24978])).
% 50.05/11.74 fof(f25197,plain,(
% 50.05/11.74 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,X1),or(X2,or(X0,X1)))))),
% 50.05/11.74 inference(forward_demodulation,[status(thm)],[f198,f25185])).
% 50.05/11.74 fof(f25448,plain,(
% 50.05/11.74 ![X0,X1,X2]: (is_a_theorem(implies(X0,or(X1,or(X0,X2)))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f25197,f351])).
% 50.05/11.74 fof(f25514,plain,(
% 50.05/11.74 ![X0,X1,X2,X3]: (is_a_theorem(implies(implies(or(X0,or(X1,X2)),X3),implies(X1,X3))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f25448,f314])).
% 50.05/11.74 fof(f30950,plain,(
% 50.05/11.74 ![X0,X1,X2]: (is_a_theorem(implies(or(X0,or(X1,X1)),or(X2,or(X0,X1)))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f3550,f3079])).
% 50.05/11.74 fof(f31523,plain,(
% 50.05/11.74 ![X0,X1,X2]: (~is_a_theorem(implies(X0,or(X1,X1)))|is_a_theorem(or(X2,implies(X0,X1))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f24962,f177])).
% 50.05/11.74 fof(f31574,plain,(
% 50.05/11.74 ![X0,X1,X2]: (~is_a_theorem(implies(X0,or(X1,X1)))|is_a_theorem(implies(X2,implies(X0,X1))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f24965,f177])).
% 50.05/11.74 fof(f32792,plain,(
% 50.05/11.74 ![X0,X1,X2,X3]: (~is_a_theorem(implies(or(X0,or(X1,X2)),X3))|is_a_theorem(implies(X1,X3)))),
% 50.05/11.74 inference(resolution,[status(thm)],[f25514,f177])).
% 50.05/11.74 fof(f45177,plain,(
% 50.05/11.74 ![X0,X1,X2]: (is_a_theorem(or(X0,implies(implies(or(not(X1),X2),X1),X1))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f31523,f355])).
% 50.05/11.74 fof(f52380,plain,(
% 50.05/11.74 ![X0,X1]: (is_a_theorem(implies(implies(or(not(X0),X1),X0),X0)))),
% 50.05/11.74 inference(resolution,[status(thm)],[f45177,f615])).
% 50.05/11.74 fof(f52448,plain,(
% 50.05/11.74 ![X0,X1]: (~is_a_theorem(implies(or(not(X0),X1),X0))|is_a_theorem(X0))),
% 50.05/11.74 inference(resolution,[status(thm)],[f52380,f177])).
% 50.05/11.74 fof(f61255,plain,(
% 50.05/11.74 ![X0,X1,X2]: (is_a_theorem(implies(X0,or(X1,or(X2,X0)))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f32792,f30950])).
% 50.05/11.74 fof(f61562,plain,(
% 50.05/11.74 ![X0,X1,X2]: (is_a_theorem(implies(X0,implies(X1,or(X2,X1)))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f61255,f31574])).
% 50.05/11.74 fof(f62481,plain,(
% 50.05/11.74 ![X0,X1]: (is_a_theorem(implies(X0,or(X1,X0))))),
% 50.05/11.74 inference(resolution,[status(thm)],[f61562,f52448])).
% 50.05/11.74 fof(f62551,plain,(
% 50.05/11.74 $false),
% 50.05/11.74 inference(backward_subsumption_resolution,[status(thm)],[f185,f62481])).
% 25.26/11.82 % SZS output end CNFRefutation for theBenchmark.p
% 6.74/11.91 % Elapsed time: 6.506292 seconds
% 6.74/11.91 % CPU time: 51.004667 seconds
% 6.74/11.91 % Total memory used: 620.920 MB
% 6.74/11.91 % Net memory used: 594.222 MB
%------------------------------------------------------------------------------