%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL490+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 : n020.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 0.12s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL490+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
% 0.08/0.35 % Computer : n020.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
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 00:36:32 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.12/0.43 % Refutation found
% 0.12/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.43 fof(f1,axiom,(
% 0.12/0.43 ( modus_ponens<=> (! [X,Y] :( ( is_a_theorem(X)& is_a_theorem(implies(X,Y)) )=> is_a_theorem(Y) ) )) ),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f10,axiom,(
% 0.12/0.43 ( or_1<=> (! [X,Y] : is_a_theorem(implies(X,or(X,Y))) )) ),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f23,axiom,(
% 0.12/0.43 ( r2<=> (! [P,Q] : is_a_theorem(implies(Q,or(P,Q))) )) ),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f24,axiom,(
% 0.12/0.43 ( r3<=> (! [P,Q] : is_a_theorem(implies(or(P,Q),or(Q,P))) )) ),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f26,axiom,(
% 0.12/0.43 ( r5<=> (! [P,Q,R] : is_a_theorem(implies(implies(Q,R),implies(or(P,Q),or(P,R)))) )) ),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f30,axiom,(
% 0.12/0.43 ( op_implies_or=> (! [X,Y] : implies(X,Y) = or(not(X),Y) )) ),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f32,axiom,(
% 0.12/0.43 op_implies_or ),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f35,axiom,(
% 0.12/0.43 modus_ponens ),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f37,axiom,(
% 0.12/0.43 r2 ),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f38,axiom,(
% 0.12/0.43 r3 ),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f40,axiom,(
% 0.12/0.43 r5 ),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f45,conjecture,(
% 0.12/0.43 or_1 ),
% 0.12/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.43 fof(f46,negated_conjecture,(
% 0.12/0.43 ~(or_1 )),
% 0.12/0.43 inference(negated_conjecture,[status(cth)],[f45])).
% 0.12/0.43 fof(f47,plain,(
% 0.12/0.43 modus_ponens<=>(![X,Y]: ((~is_a_theorem(X)|~is_a_theorem(implies(X,Y)))|is_a_theorem(Y)))),
% 0.12/0.43 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.12/0.43 fof(f48,plain,(
% 0.12/0.43 (~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))))),
% 0.12/0.43 inference(NNF_transformation,[status(thm)],[f47])).
% 0.12/0.43 fof(f49,plain,(
% 0.12/0.43 (~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))))),
% 0.12/0.43 inference(miniscoping,[status(thm)],[f48])).
% 0.12/0.43 fof(f50,plain,(
% 0.12/0.43 (~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)))),
% 0.12/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl),skolemize(X,sK1_skl)],[f49])).
% 0.12/0.43 fof(f51,plain,(
% 0.12/0.43 ![X0,X1]: (~modus_ponens|~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f50])).
% 0.12/0.43 fof(f89,plain,(
% 0.12/0.43 (~or_1|(![X,Y]: is_a_theorem(implies(X,or(X,Y)))))&(or_1|(?[X,Y]: ~is_a_theorem(implies(X,or(X,Y)))))),
% 0.12/0.43 inference(NNF_transformation,[status(thm)],[f10])).
% 0.12/0.43 fof(f90,plain,(
% 0.12/0.43 (~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))))),
% 0.12/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK19_skl,sK20_skl]),skolemize(X,sK19_skl),skolemize(Y,sK20_skl)],[f89])).
% 0.12/0.43 fof(f92,plain,(
% 0.12/0.43 or_1|~is_a_theorem(implies(sK19_skl,or(sK19_skl,sK20_skl)))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f90])).
% 0.12/0.43 fof(f141,plain,(
% 0.12/0.43 (~r2|(![P,Q]: is_a_theorem(implies(Q,or(P,Q)))))&(r2|(?[P,Q]: ~is_a_theorem(implies(Q,or(P,Q)))))),
% 0.12/0.43 inference(NNF_transformation,[status(thm)],[f23])).
% 0.12/0.43 fof(f142,plain,(
% 0.12/0.43 (~r2|(![P,Q]: is_a_theorem(implies(Q,or(P,Q)))))&(r2|~is_a_theorem(implies(sK46_skl,or(sK45_skl,sK46_skl))))),
% 0.12/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK45_skl,sK46_skl]),skolemize(P,sK45_skl),skolemize(Q,sK46_skl)],[f141])).
% 0.12/0.43 fof(f143,plain,(
% 0.12/0.43 ![X0,X1]: (~r2|is_a_theorem(implies(X0,or(X1,X0))))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f142])).
% 0.12/0.43 fof(f145,plain,(
% 0.12/0.43 (~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)))))),
% 0.12/0.43 inference(NNF_transformation,[status(thm)],[f24])).
% 0.12/0.43 fof(f146,plain,(
% 0.12/0.43 (~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))))),
% 0.12/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl]),skolemize(P,sK47_skl),skolemize(Q,sK48_skl)],[f145])).
% 0.12/0.43 fof(f147,plain,(
% 0.12/0.43 ![X0,X1]: (~r3|is_a_theorem(implies(or(X0,X1),or(X1,X0))))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f146])).
% 0.12/0.43 fof(f153,plain,(
% 0.12/0.43 (~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))))))),
% 0.12/0.43 inference(NNF_transformation,[status(thm)],[f26])).
% 0.12/0.43 fof(f154,plain,(
% 0.12/0.43 (~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)))))),
% 0.12/0.43 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])).
% 0.12/0.43 fof(f155,plain,(
% 0.12/0.43 ![X0,X1,X2]: (~r5|is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f154])).
% 0.12/0.43 fof(f163,plain,(
% 0.12/0.43 ~op_implies_or|(![X,Y]: implies(X,Y)=or(not(X),Y))),
% 0.12/0.43 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.12/0.43 fof(f164,plain,(
% 0.12/0.43 ![X0,X1]: (~op_implies_or|implies(X0,X1)=or(not(X0),X1))),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f163])).
% 0.12/0.43 fof(f167,plain,(
% 0.12/0.43 op_implies_or),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f32])).
% 0.12/0.43 fof(f170,plain,(
% 0.12/0.43 modus_ponens),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f35])).
% 0.12/0.43 fof(f172,plain,(
% 0.12/0.43 r2),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f37])).
% 0.12/0.43 fof(f173,plain,(
% 0.12/0.43 r3),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f38])).
% 0.12/0.43 fof(f175,plain,(
% 0.12/0.43 r5),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f40])).
% 0.12/0.43 fof(f180,plain,(
% 0.12/0.43 ~or_1),
% 0.12/0.43 inference(cnf_transformation,[status(thm)],[f46])).
% 0.12/0.43 fof(f181,definition,(
% 0.12/0.43 sQ0_spl <=> (modus_ponens)),
% 0.12/0.43 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.43 fof(f183,plain,(
% 0.12/0.43 ~modus_ponens|sQ0_spl),
% 0.12/0.43 inference(component_clause,[status(thm)],[f181])).
% 0.12/0.43 fof(f184,definition,(
% 0.12/0.43 ![X0,X1]: (sQ1_spl <=> (~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)))),
% 0.12/0.43 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.43 fof(f185,plain,(
% 0.12/0.43 ![X0,X1]: (~is_a_theorem(X0)|~is_a_theorem(implies(X0,X1))|is_a_theorem(X1)|~sQ1_spl)),
% 0.12/0.43 inference(component_clause,[status(thm)],[f184])).
% 0.12/0.43 fof(f187,plain,(
% 0.12/0.43 ~sQ0_spl|sQ1_spl),
% 0.12/0.43 inference(split_clause,[status(thm)],[f51,f181,f184])).
% 0.12/0.43 fof(f292,definition,(
% 0.12/0.43 sQ30_spl <=> (or_1)),
% 0.12/0.43 introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition])).
% 0.12/0.43 fof(f293,plain,(
% 0.12/0.43 or_1|~sQ30_spl),
% 0.12/0.43 inference(component_clause,[status(thm)],[f292])).
% 0.12/0.43 fof(f295,definition,(
% 0.12/0.43 ![X0,X1]: (sQ31_spl <=> (is_a_theorem(implies(X0,or(X0,X1)))))),
% 0.12/0.43 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.12/0.43 fof(f296,plain,(
% 0.12/0.43 ![X0,X1]: (is_a_theorem(implies(X0,or(X0,X1)))|~sQ31_spl)),
% 0.12/0.43 inference(component_clause,[status(thm)],[f295])).
% 0.12/0.43 fof(f299,definition,(
% 0.12/0.43 sQ32_spl <=> (is_a_theorem(implies(sK19_skl,or(sK19_skl,sK20_skl))))),
% 0.12/0.43 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.12/0.43 fof(f301,plain,(
% 0.12/0.43 ~is_a_theorem(implies(sK19_skl,or(sK19_skl,sK20_skl)))|sQ32_spl),
% 0.12/0.43 inference(component_clause,[status(thm)],[f299])).
% 0.12/0.43 fof(f302,plain,(
% 0.12/0.43 sQ30_spl|~sQ32_spl),
% 0.12/0.43 inference(split_clause,[status(thm)],[f92,f292,f299])).
% 0.12/0.43 fof(f306,definition,(
% 0.12/0.43 ![X0,X1]: (sQ34_spl <=> (is_a_theorem(implies(X0,or(X1,X0)))))),
% 0.12/0.43 introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition])).
% 0.12/0.43 fof(f307,plain,(
% 0.12/0.43 ![X0,X1]: (is_a_theorem(implies(X0,or(X1,X0)))|~sQ34_spl)),
% 0.12/0.43 inference(component_clause,[status(thm)],[f306])).
% 0.12/0.43 fof(f429,definition,(
% 0.12/0.43 sQ67_spl <=> (r2)),
% 0.12/0.43 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 0.12/0.43 fof(f431,plain,(
% 0.12/0.43 ~r2|sQ67_spl),
% 0.12/0.43 inference(component_clause,[status(thm)],[f429])).
% 0.12/0.43 fof(f432,plain,(
% 0.12/0.43 ~sQ67_spl|sQ34_spl),
% 0.12/0.43 inference(split_clause,[status(thm)],[f143,f429,f306])).
% 0.12/0.43 fof(f437,definition,(
% 0.12/0.43 sQ69_spl <=> (r3)),
% 0.12/0.43 introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition])).
% 0.12/0.43 fof(f439,plain,(
% 0.12/0.43 ~r3|sQ69_spl),
% 0.12/0.43 inference(component_clause,[status(thm)],[f437])).
% 0.12/0.43 fof(f440,definition,(
% 0.12/0.43 ![X0,X1]: (sQ70_spl <=> (is_a_theorem(implies(or(X0,X1),or(X1,X0)))))),
% 0.12/0.43 introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition])).
% 0.12/0.43 fof(f441,plain,(
% 0.12/0.43 ![X0,X1]: (is_a_theorem(implies(or(X0,X1),or(X1,X0)))|~sQ70_spl)),
% 0.12/0.43 inference(component_clause,[status(thm)],[f440])).
% 0.12/0.43 fof(f443,plain,(
% 0.12/0.43 ~sQ69_spl|sQ70_spl),
% 0.12/0.43 inference(split_clause,[status(thm)],[f147,f437,f440])).
% 0.12/0.43 fof(f459,definition,(
% 0.12/0.43 sQ75_spl <=> (r5)),
% 0.12/0.43 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 0.12/0.43 fof(f461,plain,(
% 0.12/0.43 ~r5|sQ75_spl),
% 0.12/0.43 inference(component_clause,[status(thm)],[f459])).
% 0.12/0.43 fof(f462,definition,(
% 0.12/0.43 ![X0,X1,X2]: (sQ76_spl <=> (is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))))),
% 0.12/0.43 introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 0.12/0.43 fof(f463,plain,(
% 0.12/0.43 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))|~sQ76_spl)),
% 0.12/0.43 inference(component_clause,[status(thm)],[f462])).
% 0.12/0.43 fof(f465,plain,(
% 0.12/0.43 ~sQ75_spl|sQ76_spl),
% 0.12/0.43 inference(split_clause,[status(thm)],[f155,f459,f462])).
% 0.12/0.43 fof(f491,definition,(
% 0.12/0.43 sQ84_spl <=> (op_implies_or)),
% 0.12/0.43 introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition])).
% 0.12/0.43 fof(f493,plain,(
% 0.12/0.43 ~op_implies_or|sQ84_spl),
% 0.12/0.43 inference(component_clause,[status(thm)],[f491])).
% 0.12/0.43 fof(f494,definition,(
% 0.12/0.43 ![X0,X1]: (sQ85_spl <=> (implies(X0,X1)=or(not(X0),X1)))),
% 0.12/0.43 introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition])).
% 0.12/0.43 fof(f495,plain,(
% 0.12/0.43 ![X0,X1]: (implies(X0,X1)=or(not(X0),X1)|~sQ85_spl)),
% 0.12/0.43 inference(component_clause,[status(thm)],[f494])).
% 0.12/0.43 fof(f497,plain,(
% 0.12/0.43 ~sQ84_spl|sQ85_spl),
% 0.12/0.43 inference(split_clause,[status(thm)],[f164,f491,f494])).
% 0.12/0.43 fof(f507,plain,(
% 0.12/0.43 $false|sQ0_spl),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f183,f170])).
% 0.12/0.43 fof(f508,plain,(
% 0.12/0.43 sQ0_spl),
% 0.12/0.43 inference(contradiction_clause,[status(thm)],[f507])).
% 0.12/0.43 fof(f511,plain,(
% 0.12/0.43 $false|sQ84_spl),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f493,f167])).
% 0.12/0.43 fof(f512,plain,(
% 0.12/0.43 sQ84_spl),
% 0.12/0.43 inference(contradiction_clause,[status(thm)],[f511])).
% 0.12/0.43 fof(f524,plain,(
% 0.12/0.43 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1))))|~sQ76_spl|~sQ85_spl)),
% 0.12/0.43 inference(paramodulation,[status(thm)],[f495,f463])).
% 0.12/0.43 fof(f527,plain,(
% 0.12/0.43 $false|sQ75_spl),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f461,f175])).
% 0.12/0.43 fof(f528,plain,(
% 0.12/0.43 sQ75_spl),
% 0.12/0.43 inference(contradiction_clause,[status(thm)],[f527])).
% 0.12/0.43 fof(f529,plain,(
% 0.12/0.43 ![X0,X1,X2]: (is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1))))|~sQ76_spl|~sQ85_spl)),
% 0.12/0.43 inference(forward_demodulation,[status(thm)],[f495,f524])).
% 0.12/0.43 fof(f533,plain,(
% 0.12/0.43 $false|sQ67_spl),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f431,f172])).
% 0.12/0.43 fof(f534,plain,(
% 0.12/0.43 sQ67_spl),
% 0.12/0.43 inference(contradiction_clause,[status(thm)],[f533])).
% 0.12/0.43 fof(f554,plain,(
% 0.12/0.43 $false|sQ69_spl),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f439,f173])).
% 0.12/0.43 fof(f555,plain,(
% 0.12/0.43 sQ69_spl),
% 0.12/0.43 inference(contradiction_clause,[status(thm)],[f554])).
% 0.12/0.43 fof(f556,plain,(
% 0.12/0.43 $false|~sQ31_spl|sQ32_spl),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f301,f296])).
% 0.12/0.43 fof(f557,plain,(
% 0.12/0.43 ~sQ31_spl|sQ32_spl),
% 0.12/0.43 inference(contradiction_clause,[status(thm)],[f556])).
% 0.12/0.43 fof(f607,plain,(
% 0.12/0.43 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|is_a_theorem(implies(implies(X2,X0),implies(X2,X1)))|~sQ76_spl|~sQ85_spl|~sQ1_spl)),
% 0.12/0.43 inference(resolution,[status(thm)],[f529,f185])).
% 0.12/0.43 fof(f623,plain,(
% 0.12/0.43 ![X0,X1,X2]: (~is_a_theorem(implies(X0,X1))|~is_a_theorem(implies(X2,X0))|is_a_theorem(implies(X2,X1))|~sQ76_spl|~sQ85_spl|~sQ1_spl)),
% 0.12/0.43 inference(resolution,[status(thm)],[f607,f185])).
% 0.12/0.43 fof(f793,plain,(
% 0.12/0.43 ![X0,X1,X2]: (~is_a_theorem(implies(or(X0,X1),X2))|is_a_theorem(implies(X1,X2))|~sQ76_spl|~sQ85_spl|~sQ1_spl|~sQ34_spl)),
% 0.12/0.43 inference(resolution,[status(thm)],[f623,f307])).
% 0.12/0.43 fof(f799,plain,(
% 0.12/0.43 ![X0,X1]: (is_a_theorem(implies(X0,or(X0,X1)))|~sQ76_spl|~sQ85_spl|~sQ1_spl|~sQ34_spl|~sQ70_spl)),
% 0.12/0.43 inference(resolution,[status(thm)],[f793,f441])).
% 0.12/0.43 fof(f804,plain,(
% 0.12/0.43 sQ31_spl|~sQ76_spl|~sQ85_spl|~sQ1_spl|~sQ34_spl|~sQ70_spl),
% 0.12/0.43 inference(split_clause,[status(thm)],[f799,f295,f462,f494,f184,f306,f440])).
% 0.12/0.43 fof(f806,plain,(
% 0.12/0.43 $false|~sQ30_spl),
% 0.12/0.43 inference(forward_subsumption_resolution,[status(thm)],[f293,f180])).
% 0.12/0.43 fof(f807,plain,(
% 0.12/0.43 ~sQ30_spl),
% 0.12/0.43 inference(contradiction_clause,[status(thm)],[f806])).
% 0.12/0.43 fof(f808,plain,(
% 0.12/0.43 $false),
% 0.12/0.43 inference(sat_refutation,[status(thm)],[f187,f302,f432,f443,f465,f497,f508,f512,f528,f534,f555,f557,f804,f807])).
% 0.12/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.45 % Elapsed time: 0.089677 seconds
% 0.12/0.45 % CPU time: 0.418591 seconds
% 0.12/0.45 % Total memory used: 92.082 MB
% 0.12/0.45 % Net memory used: 91.385 MB
%------------------------------------------------------------------------------