%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU304+1 : TPTP v9.3.1. Released v3.3.0.
% 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 02:22:16 PM UTC 2026
% Result : Theorem 0.20s 15.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU304+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/15.44 % Computer : n014.cluster.edu
% 0.16/15.44 % Model : x86_64 x86_64
% 0.16/15.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/15.44 % Memory : 8046.5625MB
% 0.16/15.44 % OS : Linux 6.8.0-71-generic
% 0.16/15.45 % CPULimit : 300
% 0.16/15.45 % WCLimit : 300
% 0.16/15.45 % DateTime : Mon Sep 21 06:09:36 UTC 2026
% 0.16/15.45 % CPUTime :
% 0.16/15.47 % Drodi V4.1.1
% 0.20/15.53 % Refutation found
% 0.20/15.53 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/15.53 % SZS output start CNFRefutation for theBenchmark
% 0.20/15.53 fof(f4,axiom,(
% 0.20/15.53 (! [A,B,C] :( ( ~ empty_carrier(A)& meet_commutative(A)& meet_semilatt_str(A)& element(B,the_carrier(A))& element(C,the_carrier(A)) )=> meet_commut(A,B,C) = meet_commut(A,C,B) ) )),
% 0.20/15.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/15.53 fof(f7,axiom,(
% 0.20/15.53 (! [A] :( ( ~ empty_carrier(A)& join_semilatt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( element(C,the_carrier(A))=> ( below(A,B,C)<=> join(A,B,C) = C ) ) )) )) )),
% 0.20/15.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/15.53 fof(f8,axiom,(
% 0.20/15.53 (! [A] :( ( ~ empty_carrier(A)& latt_str(A) )=> ( meet_absorbing(A)<=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( element(C,the_carrier(A))=> join(A,meet(A,B,C),C) = C ) )) )) ) )),
% 0.20/15.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/15.53 fof(f16,axiom,(
% 0.20/15.53 (! [A,B,C] :( ( ~ empty_carrier(A)& meet_commutative(A)& meet_semilatt_str(A)& element(B,the_carrier(A))& element(C,the_carrier(A)) )=> element(meet_commut(A,B,C),the_carrier(A)) ) )),
% 0.20/15.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/15.53 fof(f20,axiom,(
% 0.20/15.53 (! [A] :( latt_str(A)=> ( meet_semilatt_str(A)& join_semilatt_str(A) ) ) )),
% 0.20/15.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/15.53 fof(f39,axiom,(
% 0.20/15.53 (! [A,B,C] :( ( ~ empty_carrier(A)& meet_commutative(A)& meet_semilatt_str(A)& element(B,the_carrier(A))& element(C,the_carrier(A)) )=> meet_commut(A,B,C) = meet(A,B,C) ) )),
% 0.20/15.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/15.53 fof(f43,conjecture,(
% 0.20/15.53 (! [A] :( ( ~ empty_carrier(A)& meet_commutative(A)& meet_absorbing(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( element(C,the_carrier(A))=> below(A,meet_commut(A,B,C),B) ) )) )) )),
% 0.20/15.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/15.53 fof(f44,negated_conjecture,(
% 0.20/15.53 ~((! [A] :( ( ~ empty_carrier(A)& meet_commutative(A)& meet_absorbing(A)& latt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( element(C,the_carrier(A))=> below(A,meet_commut(A,B,C),B) ) )) )) ))),
% 0.20/15.53 inference(negated_conjecture,[status(cth)],[f43])).
% 0.20/15.53 fof(f59,plain,(
% 0.20/15.53 ![A,B,C]: (((((empty_carrier(A)|~meet_commutative(A))|~meet_semilatt_str(A))|~element(B,the_carrier(A)))|~element(C,the_carrier(A)))|meet_commut(A,B,C)=meet_commut(A,C,B))),
% 0.20/15.53 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.20/15.53 fof(f60,plain,(
% 0.20/15.53 ![X0,X1,X2]: (empty_carrier(X0)|~meet_commutative(X0)|~meet_semilatt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|meet_commut(X0,X1,X2)=meet_commut(X0,X2,X1))),
% 0.20/15.53 inference(cnf_transformation,[status(thm)],[f59])).
% 0.20/15.53 fof(f65,plain,(
% 0.20/15.53 ![A]: ((empty_carrier(A)|~join_semilatt_str(A))|(![B]: (~element(B,the_carrier(A))|(![C]: (~element(C,the_carrier(A))|(below(A,B,C)<=>join(A,B,C)=C))))))),
% 0.20/15.53 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.20/15.53 fof(f66,plain,(
% 0.20/15.53 ![A]: ((empty_carrier(A)|~join_semilatt_str(A))|(![B]: (~element(B,the_carrier(A))|(![C]: (~element(C,the_carrier(A))|((~below(A,B,C)|join(A,B,C)=C)&(below(A,B,C)|~join(A,B,C)=C)))))))),
% 0.20/15.53 inference(NNF_transformation,[status(thm)],[f65])).
% 0.20/15.53 fof(f68,plain,(
% 0.20/15.53 ![X0,X1,X2]: (empty_carrier(X0)|~join_semilatt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|below(X0,X1,X2)|~join(X0,X1,X2)=X2)),
% 0.20/15.53 inference(cnf_transformation,[status(thm)],[f66])).
% 0.20/15.53 fof(f69,plain,(
% 0.20/15.53 ![A]: ((empty_carrier(A)|~latt_str(A))|(meet_absorbing(A)<=>(![B]: (~element(B,the_carrier(A))|(![C]: (~element(C,the_carrier(A))|join(A,meet(A,B,C),C)=C))))))),
% 0.20/15.53 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.20/15.53 fof(f70,plain,(
% 0.20/15.53 ![A]: ((empty_carrier(A)|~latt_str(A))|((~meet_absorbing(A)|(![B]: (~element(B,the_carrier(A))|(![C]: (~element(C,the_carrier(A))|join(A,meet(A,B,C),C)=C)))))&(meet_absorbing(A)|(?[B]: (element(B,the_carrier(A))&(?[C]: (element(C,the_carrier(A))&~join(A,meet(A,B,C),C)=C)))))))),
% 0.20/15.53 inference(NNF_transformation,[status(thm)],[f69])).
% 0.20/15.53 fof(f71,plain,(
% 0.20/15.53 ![A]: ((empty_carrier(A)|~latt_str(A))|((~meet_absorbing(A)|(![B]: (~element(B,the_carrier(A))|(![C]: (~element(C,the_carrier(A))|join(A,meet(A,B,C),C)=C)))))&(meet_absorbing(A)|(element(sK0_skl(A),the_carrier(A))&(element(sK1_skl(A),the_carrier(A))&~join(A,meet(A,sK0_skl(A),sK1_skl(A)),sK1_skl(A))=sK1_skl(A))))))),
% 0.20/15.53 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(B,sK0_skl(A)),skolemize(C,sK1_skl(A))],[f70])).
% 0.20/15.53 fof(f72,plain,(
% 0.20/15.53 ![X0,X1,X2]: (empty_carrier(X0)|~latt_str(X0)|~meet_absorbing(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|join(X0,meet(X0,X1,X2),X2)=X2)),
% 0.20/15.53 inference(cnf_transformation,[status(thm)],[f71])).
% 0.20/15.53 fof(f82,plain,(
% 0.20/15.53 ![A,B,C]: (((((empty_carrier(A)|~meet_commutative(A))|~meet_semilatt_str(A))|~element(B,the_carrier(A)))|~element(C,the_carrier(A)))|element(meet_commut(A,B,C),the_carrier(A)))),
% 0.20/15.53 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.20/15.53 fof(f83,plain,(
% 0.20/15.53 ![X0,X1,X2]: (empty_carrier(X0)|~meet_commutative(X0)|~meet_semilatt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|element(meet_commut(X0,X1,X2),the_carrier(X0)))),
% 0.20/15.53 inference(cnf_transformation,[status(thm)],[f82])).
% 0.20/15.53 fof(f88,plain,(
% 0.20/15.53 ![A]: (~latt_str(A)|(meet_semilatt_str(A)&join_semilatt_str(A)))),
% 0.20/15.53 inference(pre_NNF_transformation,[status(thm)],[f20])).
% 0.20/15.53 fof(f89,plain,(
% 0.20/15.53 ![X0]: (~latt_str(X0)|meet_semilatt_str(X0))),
% 0.20/15.53 inference(cnf_transformation,[status(thm)],[f88])).
% 0.20/15.53 fof(f90,plain,(
% 0.20/15.53 ![X0]: (~latt_str(X0)|join_semilatt_str(X0))),
% 0.20/15.53 inference(cnf_transformation,[status(thm)],[f88])).
% 0.20/15.53 fof(f131,plain,(
% 0.20/15.53 ![A,B,C]: (((((empty_carrier(A)|~meet_commutative(A))|~meet_semilatt_str(A))|~element(B,the_carrier(A)))|~element(C,the_carrier(A)))|meet_commut(A,B,C)=meet(A,B,C))),
% 0.20/15.53 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.20/15.53 fof(f132,plain,(
% 0.20/15.53 ![X0,X1,X2]: (empty_carrier(X0)|~meet_commutative(X0)|~meet_semilatt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|meet_commut(X0,X1,X2)=meet(X0,X1,X2))),
% 0.20/15.53 inference(cnf_transformation,[status(thm)],[f131])).
% 0.20/15.53 fof(f141,plain,(
% 0.20/15.53 (?[A]: ((((~empty_carrier(A)&meet_commutative(A))&meet_absorbing(A))&latt_str(A))&(?[B]: (element(B,the_carrier(A))&(?[C]: (element(C,the_carrier(A))&~below(A,meet_commut(A,B,C),B)))))))),
% 0.20/15.53 inference(pre_NNF_transformation,[status(thm)],[f44])).
% 0.20/15.53 fof(f142,plain,(
% 0.20/15.53 ((((~empty_carrier(sK11_skl)&meet_commutative(sK11_skl))&meet_absorbing(sK11_skl))&latt_str(sK11_skl))&(element(sK12_skl,the_carrier(sK11_skl))&(element(sK13_skl,the_carrier(sK11_skl))&~below(sK11_skl,meet_commut(sK11_skl,sK12_skl,sK13_skl),sK12_skl))))),
% 0.20/15.53 inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl,sK13_skl]),skolemize(A,sK11_skl),skolemize(B,sK12_skl),skolemize(C,sK13_skl)],[f141])).
% 0.20/15.53 fof(f143,plain,(
% 0.20/15.53 ~empty_carrier(sK11_skl)),
% 0.20/15.53 inference(cnf_transformation,[status(thm)],[f142])).
% 0.20/15.53 fof(f144,plain,(
% 0.20/15.53 meet_commutative(sK11_skl)),
% 0.20/15.53 inference(cnf_transformation,[status(thm)],[f142])).
% 0.20/15.53 fof(f145,plain,(
% 0.20/15.53 meet_absorbing(sK11_skl)),
% 0.20/15.53 inference(cnf_transformation,[status(thm)],[f142])).
% 0.20/15.53 fof(f146,plain,(
% 0.20/15.53 latt_str(sK11_skl)),
% 0.20/15.53 inference(cnf_transformation,[status(thm)],[f142])).
% 0.20/15.53 fof(f147,plain,(
% 0.20/15.53 element(sK12_skl,the_carrier(sK11_skl))),
% 0.20/15.53 inference(cnf_transformation,[status(thm)],[f142])).
% 0.20/15.53 fof(f148,plain,(
% 0.20/15.53 element(sK13_skl,the_carrier(sK11_skl))),
% 0.20/15.53 inference(cnf_transformation,[status(thm)],[f142])).
% 0.20/15.53 fof(f149,plain,(
% 0.20/15.53 ~below(sK11_skl,meet_commut(sK11_skl,sK12_skl,sK13_skl),sK12_skl)),
% 0.20/15.53 inference(cnf_transformation,[status(thm)],[f142])).
% 0.20/15.53 fof(f170,plain,(
% 0.20/15.53 meet_semilatt_str(sK11_skl)),
% 0.20/15.53 inference(resolution,[status(thm)],[f89,f146])).
% 0.20/15.53 fof(f173,plain,(
% 0.20/15.53 ![X0]: (empty_carrier(sK11_skl)|~latt_str(sK11_skl)|~meet_absorbing(sK11_skl)|~element(X0,the_carrier(sK11_skl))|join(sK11_skl,meet(sK11_skl,X0,sK12_skl),sK12_skl)=sK12_skl)),
% 0.20/15.53 inference(resolution,[status(thm)],[f147,f72])).
% 0.20/15.53 fof(f174,plain,(
% 0.20/15.53 ![X0]: (empty_carrier(sK11_skl)|~meet_commutative(sK11_skl)|~meet_semilatt_str(sK11_skl)|~element(X0,the_carrier(sK11_skl))|meet_commut(sK11_skl,X0,sK12_skl)=meet_commut(sK11_skl,sK12_skl,X0))),
% 0.20/15.53 inference(resolution,[status(thm)],[f147,f60])).
% 0.20/15.53 fof(f175,definition,(
% 0.20/15.53 sQ0_spl <=> (empty_carrier(sK11_skl))),
% 0.20/15.53 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.20/15.53 fof(f176,plain,(
% 0.20/15.53 empty_carrier(sK11_skl)|~sQ0_spl),
% 0.20/15.53 inference(component_clause,[status(thm)],[f175])).
% 0.20/15.53 fof(f178,definition,(
% 0.20/15.53 sQ1_spl <=> (meet_semilatt_str(sK11_skl))),
% 0.20/15.53 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.20/15.53 fof(f180,plain,(
% 0.20/15.53 ~meet_semilatt_str(sK11_skl)|sQ1_spl),
% 0.20/15.53 inference(component_clause,[status(thm)],[f178])).
% 0.20/15.53 fof(f185,definition,(
% 0.20/15.53 sQ3_spl <=> (join_semilatt_str(sK11_skl))),
% 0.20/15.53 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.20/15.53 fof(f187,plain,(
% 0.20/15.53 ~join_semilatt_str(sK11_skl)|sQ3_spl),
% 0.20/15.53 inference(component_clause,[status(thm)],[f185])).
% 0.20/15.53 fof(f192,definition,(
% 0.20/15.53 sQ5_spl <=> (latt_str(sK11_skl))),
% 0.20/15.53 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.20/15.53 fof(f194,plain,(
% 0.20/15.53 ~latt_str(sK11_skl)|sQ5_spl),
% 0.20/15.53 inference(component_clause,[status(thm)],[f192])).
% 0.20/15.53 fof(f195,definition,(
% 0.20/15.53 sQ6_spl <=> (meet_absorbing(sK11_skl))),
% 0.20/15.53 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.20/15.53 fof(f197,plain,(
% 0.20/15.53 ~meet_absorbing(sK11_skl)|sQ6_spl),
% 0.20/15.53 inference(component_clause,[status(thm)],[f195])).
% 0.20/15.53 fof(f198,definition,(
% 0.20/15.53 ![X0]: (sQ7_spl <=> (~element(X0,the_carrier(sK11_skl))|join(sK11_skl,meet(sK11_skl,X0,sK12_skl),sK12_skl)=sK12_skl))),
% 0.20/15.53 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.20/15.53 fof(f199,plain,(
% 0.20/15.53 ![X0]: (~element(X0,the_carrier(sK11_skl))|join(sK11_skl,meet(sK11_skl,X0,sK12_skl),sK12_skl)=sK12_skl|~sQ7_spl)),
% 0.20/15.53 inference(component_clause,[status(thm)],[f198])).
% 0.20/15.53 fof(f201,plain,(
% 0.20/15.53 sQ0_spl|~sQ5_spl|~sQ6_spl|sQ7_spl),
% 0.20/15.53 inference(split_clause,[status(thm)],[f173,f175,f192,f195,f198])).
% 0.20/15.53 fof(f202,definition,(
% 0.20/15.53 sQ8_spl <=> (meet_commutative(sK11_skl))),
% 0.20/15.53 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.20/15.53 fof(f204,plain,(
% 0.20/15.53 ~meet_commutative(sK11_skl)|sQ8_spl),
% 0.20/15.53 inference(component_clause,[status(thm)],[f202])).
% 0.20/15.53 fof(f205,definition,(
% 0.20/15.53 ![X0]: (sQ9_spl <=> (~element(X0,the_carrier(sK11_skl))|meet_commut(sK11_skl,X0,sK12_skl)=meet_commut(sK11_skl,sK12_skl,X0)))),
% 0.20/15.53 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.20/15.53 fof(f206,plain,(
% 0.20/15.53 ![X0]: (~element(X0,the_carrier(sK11_skl))|meet_commut(sK11_skl,X0,sK12_skl)=meet_commut(sK11_skl,sK12_skl,X0)|~sQ9_spl)),
% 0.20/15.53 inference(component_clause,[status(thm)],[f205])).
% 0.20/15.53 fof(f208,plain,(
% 0.20/15.53 sQ0_spl|~sQ8_spl|~sQ1_spl|sQ9_spl),
% 0.20/15.53 inference(split_clause,[status(thm)],[f174,f175,f202,f178,f205])).
% 0.20/15.53 fof(f209,plain,(
% 0.20/15.53 $false|~sQ0_spl),
% 0.20/15.53 inference(forward_subsumption_resolution,[status(thm)],[f176,f143])).
% 0.20/15.53 fof(f210,plain,(
% 0.20/15.53 ~sQ0_spl),
% 0.20/15.53 inference(contradiction_clause,[status(thm)],[f209])).
% 0.20/15.53 fof(f211,plain,(
% 0.20/15.53 $false|sQ1_spl),
% 0.20/15.53 inference(forward_subsumption_resolution,[status(thm)],[f180,f170])).
% 0.20/15.53 fof(f212,plain,(
% 0.20/15.53 sQ1_spl),
% 0.20/15.53 inference(contradiction_clause,[status(thm)],[f211])).
% 0.20/15.53 fof(f213,plain,(
% 0.20/15.53 $false|sQ8_spl),
% 0.20/15.53 inference(forward_subsumption_resolution,[status(thm)],[f204,f144])).
% 0.20/15.53 fof(f214,plain,(
% 0.20/15.53 sQ8_spl),
% 0.20/15.53 inference(contradiction_clause,[status(thm)],[f213])).
% 0.20/15.53 fof(f235,plain,(
% 0.20/15.53 $false|sQ6_spl),
% 0.20/15.53 inference(forward_subsumption_resolution,[status(thm)],[f197,f145])).
% 0.20/15.53 fof(f236,plain,(
% 0.20/15.53 sQ6_spl),
% 0.20/15.53 inference(contradiction_clause,[status(thm)],[f235])).
% 0.20/15.53 fof(f237,plain,(
% 0.20/15.53 $false|sQ5_spl),
% 0.20/15.53 inference(forward_subsumption_resolution,[status(thm)],[f194,f146])).
% 0.20/15.53 fof(f238,plain,(
% 0.20/15.53 sQ5_spl),
% 0.20/15.53 inference(contradiction_clause,[status(thm)],[f237])).
% 0.20/15.53 fof(f239,plain,(
% 0.20/15.53 join_semilatt_str(sK11_skl)),
% 0.20/15.53 inference(resolution,[status(thm)],[f90,f146])).
% 0.20/15.53 fof(f240,plain,(
% 0.20/15.53 $false|sQ3_spl),
% 0.20/15.53 inference(forward_subsumption_resolution,[status(thm)],[f239,f187])).
% 0.20/15.53 fof(f241,plain,(
% 0.20/15.53 sQ3_spl),
% 0.20/15.53 inference(contradiction_clause,[status(thm)],[f240])).
% 0.20/15.53 fof(f242,plain,(
% 0.20/15.53 ![X0]: (empty_carrier(sK11_skl)|~meet_commutative(sK11_skl)|~meet_semilatt_str(sK11_skl)|~element(X0,the_carrier(sK11_skl))|element(meet_commut(sK11_skl,sK13_skl,X0),the_carrier(sK11_skl)))),
% 0.20/15.53 inference(resolution,[status(thm)],[f83,f148])).
% 0.20/15.53 fof(f244,definition,(
% 0.20/15.53 ![X0]: (sQ14_spl <=> (~element(X0,the_carrier(sK11_skl))|element(meet_commut(sK11_skl,sK13_skl,X0),the_carrier(sK11_skl))))),
% 0.20/15.53 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.20/15.53 fof(f245,plain,(
% 0.20/15.53 ![X0]: (~element(X0,the_carrier(sK11_skl))|element(meet_commut(sK11_skl,sK13_skl,X0),the_carrier(sK11_skl))|~sQ14_spl)),
% 0.20/15.53 inference(component_clause,[status(thm)],[f244])).
% 0.20/15.53 fof(f247,plain,(
% 0.20/15.53 sQ0_spl|~sQ8_spl|~sQ1_spl|sQ14_spl),
% 0.20/15.53 inference(split_clause,[status(thm)],[f242,f175,f202,f178,f244])).
% 0.20/15.53 fof(f253,plain,(
% 0.20/15.53 ![X0]: (empty_carrier(sK11_skl)|~meet_commutative(sK11_skl)|~meet_semilatt_str(sK11_skl)|~element(X0,the_carrier(sK11_skl))|meet_commut(sK11_skl,X0,sK12_skl)=meet(sK11_skl,X0,sK12_skl))),
% 0.20/15.53 inference(resolution,[status(thm)],[f132,f147])).
% 0.20/15.53 fof(f258,definition,(
% 0.20/15.53 ![X0]: (sQ17_spl <=> (~element(X0,the_carrier(sK11_skl))|meet_commut(sK11_skl,X0,sK12_skl)=meet(sK11_skl,X0,sK12_skl)))),
% 0.20/15.53 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.20/15.53 fof(f259,plain,(
% 0.20/15.53 ![X0]: (~element(X0,the_carrier(sK11_skl))|meet_commut(sK11_skl,X0,sK12_skl)=meet(sK11_skl,X0,sK12_skl)|~sQ17_spl)),
% 0.20/15.53 inference(component_clause,[status(thm)],[f258])).
% 0.20/15.53 fof(f261,plain,(
% 0.20/15.53 sQ0_spl|~sQ8_spl|~sQ1_spl|sQ17_spl),
% 0.20/15.53 inference(split_clause,[status(thm)],[f253,f175,f202,f178,f258])).
% 0.20/15.53 fof(f262,plain,(
% 0.20/15.53 meet_commut(sK11_skl,sK13_skl,sK12_skl)=meet_commut(sK11_skl,sK12_skl,sK13_skl)|~sQ9_spl),
% 0.20/15.53 inference(resolution,[status(thm)],[f206,f148])).
% 0.20/15.53 fof(f318,plain,(
% 0.20/15.53 join(sK11_skl,meet(sK11_skl,sK13_skl,sK12_skl),sK12_skl)=sK12_skl|~sQ7_spl),
% 0.20/15.53 inference(resolution,[status(thm)],[f199,f148])).
% 0.20/15.53 fof(f342,plain,(
% 0.20/15.53 element(meet_commut(sK11_skl,sK13_skl,sK12_skl),the_carrier(sK11_skl))|~sQ14_spl),
% 0.20/15.53 inference(resolution,[status(thm)],[f245,f147])).
% 0.20/15.53 fof(f343,plain,(
% 0.20/15.53 element(meet_commut(sK11_skl,sK12_skl,sK13_skl),the_carrier(sK11_skl))|~sQ9_spl|~sQ14_spl),
% 0.20/15.53 inference(forward_demodulation,[status(thm)],[f262,f342])).
% 0.20/15.53 fof(f352,plain,(
% 0.20/15.53 meet_commut(sK11_skl,sK13_skl,sK12_skl)=meet(sK11_skl,sK13_skl,sK12_skl)|~sQ17_spl),
% 0.20/15.53 inference(resolution,[status(thm)],[f259,f148])).
% 0.20/15.53 fof(f354,plain,(
% 0.20/15.53 join(sK11_skl,meet_commut(sK11_skl,sK12_skl,sK13_skl),sK12_skl)=sK12_skl|~sQ9_spl|~sQ17_spl|~sQ7_spl),
% 0.20/15.53 inference(backward_demodulation,[status(thm)],[f356,f318])).
% 0.20/15.53 fof(f356,plain,(
% 0.20/15.53 meet_commut(sK11_skl,sK12_skl,sK13_skl)=meet(sK11_skl,sK13_skl,sK12_skl)|~sQ9_spl|~sQ17_spl),
% 0.20/15.53 inference(forward_demodulation,[status(thm)],[f262,f352])).
% 0.20/15.53 fof(f872,definition,(
% 0.20/15.53 sQ95_spl <=> (element(meet_commut(sK11_skl,sK12_skl,sK13_skl),the_carrier(sK11_skl)))),
% 0.20/15.53 introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition])).
% 0.20/15.53 fof(f874,plain,(
% 0.20/15.53 ~element(meet_commut(sK11_skl,sK12_skl,sK13_skl),the_carrier(sK11_skl))|sQ95_spl),
% 0.20/15.53 inference(component_clause,[status(thm)],[f872])).
% 0.20/15.53 fof(f884,plain,(
% 0.20/15.53 $false|~sQ9_spl|~sQ14_spl|sQ95_spl),
% 0.20/15.53 inference(forward_subsumption_resolution,[status(thm)],[f874,f343])).
% 0.20/15.53 fof(f885,plain,(
% 0.20/15.53 ~sQ9_spl|~sQ14_spl|sQ95_spl),
% 0.20/15.53 inference(contradiction_clause,[status(thm)],[f884])).
% 0.20/15.53 fof(f1352,plain,(
% 0.20/15.53 empty_carrier(sK11_skl)|~join_semilatt_str(sK11_skl)|~element(meet_commut(sK11_skl,sK12_skl,sK13_skl),the_carrier(sK11_skl))|~element(sK12_skl,the_carrier(sK11_skl))|below(sK11_skl,meet_commut(sK11_skl,sK12_skl,sK13_skl),sK12_skl)|~sQ9_spl|~sQ17_spl|~sQ7_spl),
% 0.20/15.53 inference(resolution,[status(thm)],[f354,f68])).
% 0.20/15.53 fof(f1354,definition,(
% 0.20/15.53 sQ168_spl <=> (element(sK12_skl,the_carrier(sK11_skl)))),
% 0.20/15.53 introduced(definition,[new_symbols(definition,[sQ168_spl])],[split_symbol_definition])).
% 0.20/15.53 fof(f1356,plain,(
% 0.20/15.53 ~element(sK12_skl,the_carrier(sK11_skl))|sQ168_spl),
% 0.20/15.53 inference(component_clause,[status(thm)],[f1354])).
% 0.20/15.53 fof(f1357,definition,(
% 0.20/15.53 sQ169_spl <=> (below(sK11_skl,meet_commut(sK11_skl,sK12_skl,sK13_skl),sK12_skl))),
% 0.20/15.53 introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition])).
% 0.20/15.53 fof(f1358,plain,(
% 0.20/15.53 below(sK11_skl,meet_commut(sK11_skl,sK12_skl,sK13_skl),sK12_skl)|~sQ169_spl),
% 0.20/15.53 inference(component_clause,[status(thm)],[f1357])).
% 0.20/15.53 fof(f1360,plain,(
% 0.20/15.53 sQ0_spl|~sQ3_spl|~sQ95_spl|~sQ168_spl|sQ169_spl|~sQ9_spl|~sQ17_spl|~sQ7_spl),
% 0.20/15.53 inference(split_clause,[status(thm)],[f1352,f175,f185,f872,f1354,f1357,f205,f258,f198])).
% 0.20/15.53 fof(f1365,plain,(
% 0.20/15.53 $false|sQ168_spl),
% 0.20/15.53 inference(forward_subsumption_resolution,[status(thm)],[f1356,f147])).
% 0.20/15.53 fof(f1366,plain,(
% 0.20/15.53 sQ168_spl),
% 0.20/15.53 inference(contradiction_clause,[status(thm)],[f1365])).
% 0.20/15.53 fof(f1367,plain,(
% 0.20/15.53 $false|~sQ169_spl),
% 0.20/15.53 inference(forward_subsumption_resolution,[status(thm)],[f1358,f149])).
% 0.20/15.53 fof(f1368,plain,(
% 0.20/15.53 ~sQ169_spl),
% 0.20/15.53 inference(contradiction_clause,[status(thm)],[f1367])).
% 0.20/15.53 fof(f1369,plain,(
% 0.20/15.53 $false),
% 0.20/15.53 inference(sat_refutation,[status(thm)],[f201,f208,f210,f212,f214,f236,f238,f241,f247,f261,f885,f1360,f1366,f1368])).
% 0.20/15.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/15.55 % Elapsed time: 0.092976 seconds
% 0.20/15.55 % CPU time: 0.488343 seconds
% 0.20/15.55 % Total memory used: 79.076 MB
% 0.20/15.55 % Net memory used: 78.870 MB
%------------------------------------------------------------------------------