TSTP Solution File: SEU305+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU305+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:36:38 EDT 2023
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU305+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:04:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f4,axiom,(
% 0.13/0.36 (! [A,B,C] :( ( ~ empty_carrier(A)& join_commutative(A)& join_semilatt_str(A)& element(B,the_carrier(A))& element(C,the_carrier(A)) )=> join_commut(A,B,C) = join_commut(A,C,B) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f6,axiom,(
% 0.13/0.36 (! [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 ) ) )) )) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f24,axiom,(
% 0.13/0.36 (! [A] :(? [B] : element(B,A) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f31,axiom,(
% 0.13/0.36 (! [A,B,C] :( ( ~ empty_carrier(A)& join_commutative(A)& join_semilatt_str(A)& element(B,the_carrier(A))& element(C,the_carrier(A)) )=> join_commut(A,B,C) = join(A,B,C) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f35,conjecture,(
% 0.13/0.36 (! [A] :( ( ~ empty_carrier(A)& join_commutative(A)& join_semilatt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( element(C,the_carrier(A))=> ( ( below(A,B,C)& below(A,C,B) )=> B = C ) ) )) )) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f36,negated_conjecture,(
% 0.13/0.36 ~((! [A] :( ( ~ empty_carrier(A)& join_commutative(A)& join_semilatt_str(A) )=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( element(C,the_carrier(A))=> ( ( below(A,B,C)& below(A,C,B) )=> B = C ) ) )) )) ))),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f35])).
% 0.13/0.36 fof(f51,plain,(
% 0.13/0.36 ![A,B,C]: (((((empty_carrier(A)|~join_commutative(A))|~join_semilatt_str(A))|~element(B,the_carrier(A)))|~element(C,the_carrier(A)))|join_commut(A,B,C)=join_commut(A,C,B))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.13/0.36 fof(f52,plain,(
% 0.13/0.36 ![X0,X1,X2]: (empty_carrier(X0)|~join_commutative(X0)|~join_semilatt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|join_commut(X0,X1,X2)=join_commut(X0,X2,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f51])).
% 0.13/0.36 fof(f55,plain,(
% 0.13/0.36 ![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))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.13/0.36 fof(f56,plain,(
% 0.13/0.36 ![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)))))))),
% 0.13/0.36 inference(NNF_transformation,[status(esa)],[f55])).
% 0.13/0.36 fof(f57,plain,(
% 0.13/0.36 ![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)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f56])).
% 0.13/0.36 fof(f79,plain,(
% 0.13/0.36 ![A]: element(sk0_3(A),A)),
% 0.13/0.36 inference(skolemization,[status(esa)],[f24])).
% 0.13/0.36 fof(f80,plain,(
% 0.13/0.36 ![X0]: (element(sk0_3(X0),X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f79])).
% 0.13/0.36 fof(f99,plain,(
% 0.13/0.36 ![A,B,C]: (((((empty_carrier(A)|~join_commutative(A))|~join_semilatt_str(A))|~element(B,the_carrier(A)))|~element(C,the_carrier(A)))|join_commut(A,B,C)=join(A,B,C))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 0.13/0.36 fof(f100,plain,(
% 0.13/0.36 ![X0,X1,X2]: (empty_carrier(X0)|~join_commutative(X0)|~join_semilatt_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|join_commut(X0,X1,X2)=join(X0,X1,X2))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f99])).
% 0.13/0.36 fof(f109,plain,(
% 0.13/0.36 (?[A]: (((~empty_carrier(A)&join_commutative(A))&join_semilatt_str(A))&(?[B]: (element(B,the_carrier(A))&(?[C]: (element(C,the_carrier(A))&((below(A,B,C)&below(A,C,B))&~B=C)))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f36])).
% 0.13/0.36 fof(f110,plain,(
% 0.13/0.36 (((~empty_carrier(sk0_7)&join_commutative(sk0_7))&join_semilatt_str(sk0_7))&(element(sk0_8,the_carrier(sk0_7))&(element(sk0_9,the_carrier(sk0_7))&((below(sk0_7,sk0_8,sk0_9)&below(sk0_7,sk0_9,sk0_8))&~sk0_8=sk0_9))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f109])).
% 0.13/0.36 fof(f111,plain,(
% 0.13/0.36 ~empty_carrier(sk0_7)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f110])).
% 0.13/0.36 fof(f112,plain,(
% 0.13/0.36 join_commutative(sk0_7)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f110])).
% 0.13/0.36 fof(f113,plain,(
% 0.13/0.36 join_semilatt_str(sk0_7)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f110])).
% 0.13/0.36 fof(f114,plain,(
% 0.13/0.36 element(sk0_8,the_carrier(sk0_7))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f110])).
% 0.13/0.36 fof(f115,plain,(
% 0.13/0.36 element(sk0_9,the_carrier(sk0_7))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f110])).
% 0.13/0.36 fof(f116,plain,(
% 0.13/0.36 below(sk0_7,sk0_8,sk0_9)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f110])).
% 0.13/0.36 fof(f117,plain,(
% 0.13/0.36 below(sk0_7,sk0_9,sk0_8)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f110])).
% 0.13/0.36 fof(f118,plain,(
% 0.13/0.36 ~sk0_8=sk0_9),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f110])).
% 0.13/0.36 fof(f139,plain,(
% 0.13/0.36 spl0_0 <=> empty_carrier(sk0_7)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f140,plain,(
% 0.13/0.36 empty_carrier(sk0_7)|~spl0_0),
% 0.13/0.36 inference(component_clause,[status(thm)],[f139])).
% 0.13/0.36 fof(f142,plain,(
% 0.13/0.36 spl0_1 <=> ~element(X0,the_carrier(sk0_7))|~element(X1,the_carrier(sk0_7))|~below(sk0_7,X0,X1)|join(sk0_7,X0,X1)=X1),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f143,plain,(
% 0.13/0.36 ![X0,X1]: (~element(X0,the_carrier(sk0_7))|~element(X1,the_carrier(sk0_7))|~below(sk0_7,X0,X1)|join(sk0_7,X0,X1)=X1|~spl0_1)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f142])).
% 0.13/0.36 fof(f145,plain,(
% 0.13/0.36 ![X0,X1]: (empty_carrier(sk0_7)|~element(X0,the_carrier(sk0_7))|~element(X1,the_carrier(sk0_7))|~below(sk0_7,X0,X1)|join(sk0_7,X0,X1)=X1)),
% 0.13/0.36 inference(resolution,[status(thm)],[f57,f113])).
% 0.13/0.36 fof(f146,plain,(
% 0.13/0.36 spl0_0|spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f145,f139,f142])).
% 0.13/0.36 fof(f147,plain,(
% 0.13/0.36 $false|~spl0_0),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f140,f111])).
% 0.13/0.36 fof(f148,plain,(
% 0.13/0.36 ~spl0_0),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f147])).
% 0.13/0.36 fof(f149,plain,(
% 0.13/0.36 spl0_2 <=> join_commutative(sk0_7)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f151,plain,(
% 0.13/0.36 ~join_commutative(sk0_7)|spl0_2),
% 0.13/0.36 inference(component_clause,[status(thm)],[f149])).
% 0.13/0.36 fof(f152,plain,(
% 0.13/0.36 spl0_3 <=> ~element(X0,the_carrier(sk0_7))|~element(X1,the_carrier(sk0_7))|join_commut(sk0_7,X0,X1)=join_commut(sk0_7,X1,X0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f153,plain,(
% 0.13/0.36 ![X0,X1]: (~element(X0,the_carrier(sk0_7))|~element(X1,the_carrier(sk0_7))|join_commut(sk0_7,X0,X1)=join_commut(sk0_7,X1,X0)|~spl0_3)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f152])).
% 0.13/0.36 fof(f155,plain,(
% 0.13/0.36 ![X0,X1]: (empty_carrier(sk0_7)|~join_commutative(sk0_7)|~element(X0,the_carrier(sk0_7))|~element(X1,the_carrier(sk0_7))|join_commut(sk0_7,X0,X1)=join_commut(sk0_7,X1,X0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f52,f113])).
% 0.13/0.36 fof(f156,plain,(
% 0.13/0.36 spl0_0|~spl0_2|spl0_3),
% 0.13/0.36 inference(split_clause,[status(thm)],[f155,f139,f149,f152])).
% 0.13/0.36 fof(f157,plain,(
% 0.13/0.36 $false|spl0_2),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f151,f112])).
% 0.13/0.36 fof(f158,plain,(
% 0.13/0.36 spl0_2),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f157])).
% 0.13/0.36 fof(f159,plain,(
% 0.13/0.36 spl0_4 <=> ~element(X0,the_carrier(sk0_7))|~element(X1,the_carrier(sk0_7))|join_commut(sk0_7,X0,X1)=join(sk0_7,X0,X1)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f160,plain,(
% 0.13/0.36 ![X0,X1]: (~element(X0,the_carrier(sk0_7))|~element(X1,the_carrier(sk0_7))|join_commut(sk0_7,X0,X1)=join(sk0_7,X0,X1)|~spl0_4)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f159])).
% 0.13/0.36 fof(f162,plain,(
% 0.13/0.36 ![X0,X1]: (empty_carrier(sk0_7)|~join_commutative(sk0_7)|~element(X0,the_carrier(sk0_7))|~element(X1,the_carrier(sk0_7))|join_commut(sk0_7,X0,X1)=join(sk0_7,X0,X1))),
% 0.13/0.36 inference(resolution,[status(thm)],[f100,f113])).
% 0.13/0.36 fof(f163,plain,(
% 0.13/0.36 spl0_0|~spl0_2|spl0_4),
% 0.13/0.36 inference(split_clause,[status(thm)],[f162,f139,f149,f159])).
% 0.13/0.36 fof(f210,plain,(
% 0.13/0.36 ![X0]: (~element(X0,the_carrier(sk0_7))|join_commut(sk0_7,X0,sk0_9)=join_commut(sk0_7,sk0_9,X0)|~spl0_3)),
% 0.13/0.36 inference(resolution,[status(thm)],[f153,f115])).
% 0.13/0.36 fof(f226,plain,(
% 0.13/0.36 join_commut(sk0_7,sk0_8,sk0_9)=join_commut(sk0_7,sk0_9,sk0_8)|~spl0_3),
% 0.13/0.36 inference(resolution,[status(thm)],[f210,f114])).
% 0.13/0.36 fof(f228,plain,(
% 0.13/0.36 spl0_17 <=> element(sk0_9,the_carrier(sk0_7))),
% 0.19/0.37 introduced(split_symbol_definition)).
% 0.19/0.37 fof(f230,plain,(
% 0.19/0.37 ~element(sk0_9,the_carrier(sk0_7))|spl0_17),
% 0.19/0.37 inference(component_clause,[status(thm)],[f228])).
% 0.19/0.37 fof(f231,plain,(
% 0.19/0.37 spl0_18 <=> element(sk0_8,the_carrier(sk0_7))),
% 0.19/0.37 introduced(split_symbol_definition)).
% 0.19/0.37 fof(f233,plain,(
% 0.19/0.37 ~element(sk0_8,the_carrier(sk0_7))|spl0_18),
% 0.19/0.37 inference(component_clause,[status(thm)],[f231])).
% 0.19/0.37 fof(f239,plain,(
% 0.19/0.37 $false|spl0_18),
% 0.19/0.37 inference(forward_subsumption_resolution,[status(thm)],[f233,f114])).
% 0.19/0.37 fof(f240,plain,(
% 0.19/0.37 spl0_18),
% 0.19/0.37 inference(contradiction_clause,[status(thm)],[f239])).
% 0.19/0.37 fof(f241,plain,(
% 0.19/0.37 $false|spl0_17),
% 0.19/0.37 inference(forward_subsumption_resolution,[status(thm)],[f230,f115])).
% 0.19/0.37 fof(f242,plain,(
% 0.19/0.37 spl0_17),
% 0.19/0.37 inference(contradiction_clause,[status(thm)],[f241])).
% 0.19/0.37 fof(f259,plain,(
% 0.19/0.37 spl0_22 <=> join(sk0_7,sk0_9,sk0_8)=sk0_8),
% 0.19/0.37 introduced(split_symbol_definition)).
% 0.19/0.37 fof(f260,plain,(
% 0.19/0.37 join(sk0_7,sk0_9,sk0_8)=sk0_8|~spl0_22),
% 0.19/0.37 inference(component_clause,[status(thm)],[f259])).
% 0.19/0.37 fof(f262,plain,(
% 0.19/0.37 ~element(sk0_9,the_carrier(sk0_7))|~element(sk0_8,the_carrier(sk0_7))|join(sk0_7,sk0_9,sk0_8)=sk0_8|~spl0_1),
% 0.19/0.37 inference(resolution,[status(thm)],[f143,f117])).
% 0.19/0.37 fof(f263,plain,(
% 0.19/0.37 ~spl0_17|~spl0_18|spl0_22|~spl0_1),
% 0.19/0.37 inference(split_clause,[status(thm)],[f262,f228,f231,f259,f142])).
% 0.19/0.37 fof(f264,plain,(
% 0.19/0.37 spl0_23 <=> join(sk0_7,sk0_8,sk0_9)=sk0_9),
% 0.19/0.37 introduced(split_symbol_definition)).
% 0.19/0.37 fof(f265,plain,(
% 0.19/0.37 join(sk0_7,sk0_8,sk0_9)=sk0_9|~spl0_23),
% 0.19/0.37 inference(component_clause,[status(thm)],[f264])).
% 0.19/0.37 fof(f267,plain,(
% 0.19/0.37 ~element(sk0_8,the_carrier(sk0_7))|~element(sk0_9,the_carrier(sk0_7))|join(sk0_7,sk0_8,sk0_9)=sk0_9|~spl0_1),
% 0.19/0.37 inference(resolution,[status(thm)],[f143,f116])).
% 0.19/0.37 fof(f268,plain,(
% 0.19/0.37 ~spl0_18|~spl0_17|spl0_23|~spl0_1),
% 0.19/0.37 inference(split_clause,[status(thm)],[f267,f231,f228,f264,f142])).
% 0.19/0.37 fof(f278,plain,(
% 0.19/0.37 spl0_25 <=> element(sk0_3(the_carrier(sk0_7)),the_carrier(sk0_7))),
% 0.19/0.37 introduced(split_symbol_definition)).
% 0.19/0.37 fof(f280,plain,(
% 0.19/0.37 ~element(sk0_3(the_carrier(sk0_7)),the_carrier(sk0_7))|spl0_25),
% 0.19/0.37 inference(component_clause,[status(thm)],[f278])).
% 0.19/0.37 fof(f286,plain,(
% 0.19/0.37 $false|spl0_25),
% 0.19/0.37 inference(forward_subsumption_resolution,[status(thm)],[f280,f80])).
% 0.19/0.37 fof(f287,plain,(
% 0.19/0.37 spl0_25),
% 0.19/0.37 inference(contradiction_clause,[status(thm)],[f286])).
% 0.19/0.37 fof(f313,plain,(
% 0.19/0.37 ![X0]: (~element(X0,the_carrier(sk0_7))|join_commut(sk0_7,X0,sk0_9)=join(sk0_7,X0,sk0_9)|~spl0_4)),
% 0.19/0.37 inference(resolution,[status(thm)],[f160,f115])).
% 0.19/0.37 fof(f314,plain,(
% 0.19/0.37 ![X0]: (~element(X0,the_carrier(sk0_7))|join_commut(sk0_7,X0,sk0_8)=join(sk0_7,X0,sk0_8)|~spl0_4)),
% 0.19/0.37 inference(resolution,[status(thm)],[f160,f114])).
% 0.19/0.37 fof(f364,plain,(
% 0.19/0.37 join_commut(sk0_7,sk0_8,sk0_9)=join(sk0_7,sk0_8,sk0_9)|~spl0_4),
% 0.19/0.37 inference(resolution,[status(thm)],[f313,f114])).
% 0.19/0.37 fof(f365,plain,(
% 0.19/0.37 join_commut(sk0_7,sk0_8,sk0_9)=sk0_9|~spl0_23|~spl0_4),
% 0.19/0.37 inference(forward_demodulation,[status(thm)],[f265,f364])).
% 0.19/0.37 fof(f368,plain,(
% 0.19/0.37 sk0_9=join_commut(sk0_7,sk0_9,sk0_8)|~spl0_23|~spl0_4|~spl0_3),
% 0.19/0.37 inference(backward_demodulation,[status(thm)],[f365,f226])).
% 0.19/0.37 fof(f399,plain,(
% 0.19/0.37 join_commut(sk0_7,sk0_9,sk0_8)=join(sk0_7,sk0_9,sk0_8)|~spl0_4),
% 0.19/0.37 inference(resolution,[status(thm)],[f314,f115])).
% 0.19/0.37 fof(f400,plain,(
% 0.19/0.37 sk0_9=join(sk0_7,sk0_9,sk0_8)|~spl0_23|~spl0_3|~spl0_4),
% 0.19/0.37 inference(forward_demodulation,[status(thm)],[f368,f399])).
% 0.19/0.37 fof(f401,plain,(
% 0.19/0.37 sk0_9=sk0_8|~spl0_22|~spl0_23|~spl0_3|~spl0_4),
% 0.19/0.37 inference(forward_demodulation,[status(thm)],[f260,f400])).
% 0.19/0.37 fof(f402,plain,(
% 0.19/0.37 $false|~spl0_22|~spl0_23|~spl0_3|~spl0_4),
% 0.19/0.37 inference(forward_subsumption_resolution,[status(thm)],[f401,f118])).
% 0.19/0.37 fof(f403,plain,(
% 0.19/0.37 ~spl0_22|~spl0_23|~spl0_3|~spl0_4),
% 0.19/0.37 inference(contradiction_clause,[status(thm)],[f402])).
% 0.19/0.37 fof(f404,plain,(
% 0.19/0.37 $false),
% 0.19/0.37 inference(sat_refutation,[status(thm)],[f146,f148,f156,f158,f163,f240,f242,f263,f268,f287,f403])).
% 0.19/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.37 % Elapsed time: 0.027650 seconds
% 0.19/0.37 % CPU time: 0.061161 seconds
% 0.19/0.37 % Memory used: 15.147 MB
%------------------------------------------------------------------------------