%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PRO011+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 01:59:24 PM UTC 2026
% Result : Theorem 0.03s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO011+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 03:40:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.03/0.38 % Drodi V4.1.1
% 0.03/0.45 % Refutation found
% 0.03/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.03/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.03/0.45 fof(f22,axiom,(
% 0.03/0.45 (! [X60,X61,X62] :( ( occurrence_of(X60,X62)& leaf_occ(X61,X60) )=> ~ (? [X63] : min_precedes(X61,X63,X62) )) )),
% 0.03/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f23,axiom,(
% 0.03/0.45 (! [X64,X65,X66] :( ( occurrence_of(X64,X65)& occurrence_of(X64,X66) )=> X65 = X66 ) )),
% 0.03/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f33,axiom,(
% 0.03/0.45 (! [X95] :( occurrence_of(X95,tptp0)=> (? [X96,X97,X98] :( occurrence_of(X96,tptp3)& root_occ(X96,X95)& occurrence_of(X97,tptp4)& next_subocc(X96,X97,tptp0)& ( occurrence_of(X98,tptp1)| occurrence_of(X98,tptp2) )& next_subocc(X97,X98,tptp0)& leaf_occ(X98,X95) ) )) )),
% 0.03/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f45,axiom,(
% 0.03/0.45 tptp1 != tptp2 ),
% 0.03/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f46,conjecture,(
% 0.03/0.45 (! [X99] :( occurrence_of(X99,tptp0)=> (? [X100,X101] :( leaf_occ(X101,X99)& ( occurrence_of(X101,tptp1)=> ~ (? [X102] :( occurrence_of(X102,tptp2)& subactivity_occurrence(X102,X99)& min_precedes(X100,X102,tptp0) ) ))& ( occurrence_of(X101,tptp2)=> ~ (? [X103] :( occurrence_of(X103,tptp1)& subactivity_occurrence(X103,X99)& min_precedes(X100,X103,tptp0) ) )) ) )) )),
% 0.03/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.03/0.45 fof(f47,negated_conjecture,(
% 0.03/0.45 ~((! [X99] :( occurrence_of(X99,tptp0)=> (? [X100,X101] :( leaf_occ(X101,X99)& ( occurrence_of(X101,tptp1)=> ~ (? [X102] :( occurrence_of(X102,tptp2)& subactivity_occurrence(X102,X99)& min_precedes(X100,X102,tptp0) ) ))& ( occurrence_of(X101,tptp2)=> ~ (? [X103] :( occurrence_of(X103,tptp1)& subactivity_occurrence(X103,X99)& min_precedes(X100,X103,tptp0) ) )) ) )) ))),
% 0.03/0.45 inference(negated_conjecture,[status(cth)],[f46])).
% 0.03/0.45 fof(f135,plain,(
% 0.03/0.45 ![X60,X61,X62]: ((~occurrence_of(X60,X62)|~leaf_occ(X61,X60))|(![X63]: ~min_precedes(X61,X63,X62)))),
% 0.03/0.45 inference(pre_NNF_transformation,[status(thm)],[f22])).
% 0.03/0.45 fof(f136,plain,(
% 0.03/0.45 ![X61,X62]: ((![X60]: (~occurrence_of(X60,X62)|~leaf_occ(X61,X60)))|(![X63]: ~min_precedes(X61,X63,X62)))),
% 0.03/0.45 inference(miniscoping,[status(thm)],[f135])).
% 0.03/0.45 fof(f137,plain,(
% 0.03/0.45 ![X0,X1,X2,X3]: (~occurrence_of(X0,X1)|~leaf_occ(X2,X0)|~min_precedes(X2,X3,X1))),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f136])).
% 0.03/0.45 fof(f138,plain,(
% 0.03/0.45 ![X64,X65,X66]: ((~occurrence_of(X64,X65)|~occurrence_of(X64,X66))|X65=X66)),
% 0.03/0.45 inference(pre_NNF_transformation,[status(thm)],[f23])).
% 0.03/0.45 fof(f139,plain,(
% 0.03/0.45 ![X65,X66]: ((![X64]: (~occurrence_of(X64,X65)|~occurrence_of(X64,X66)))|X65=X66)),
% 0.03/0.45 inference(miniscoping,[status(thm)],[f138])).
% 0.03/0.45 fof(f140,plain,(
% 0.03/0.45 ![X0,X1,X2]: (~occurrence_of(X0,X1)|~occurrence_of(X0,X2)|X1=X2)),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f139])).
% 0.03/0.45 fof(f177,plain,(
% 0.03/0.45 ![X95]: (~occurrence_of(X95,tptp0)|(?[X96,X97,X98]: ((((((occurrence_of(X96,tptp3)&root_occ(X96,X95))&occurrence_of(X97,tptp4))&next_subocc(X96,X97,tptp0))&(occurrence_of(X98,tptp1)|occurrence_of(X98,tptp2)))&next_subocc(X97,X98,tptp0))&leaf_occ(X98,X95))))),
% 0.03/0.45 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.03/0.45 fof(f178,plain,(
% 0.03/0.45 ![X95]: (~occurrence_of(X95,tptp0)|(?[X98]: ((?[X97]: (((?[X96]: (((occurrence_of(X96,tptp3)&root_occ(X96,X95))&occurrence_of(X97,tptp4))&next_subocc(X96,X97,tptp0)))&(occurrence_of(X98,tptp1)|occurrence_of(X98,tptp2)))&next_subocc(X97,X98,tptp0)))&leaf_occ(X98,X95))))),
% 0.03/0.45 inference(miniscoping,[status(thm)],[f177])).
% 0.03/0.45 fof(f179,plain,(
% 0.03/0.45 ![X95]: (~occurrence_of(X95,tptp0)|((((((occurrence_of(sK16_skl(X95),tptp3)&root_occ(sK16_skl(X95),X95))&occurrence_of(sK15_skl(X95),tptp4))&next_subocc(sK16_skl(X95),sK15_skl(X95),tptp0))&(occurrence_of(sK14_skl(X95),tptp1)|occurrence_of(sK14_skl(X95),tptp2)))&next_subocc(sK15_skl(X95),sK14_skl(X95),tptp0))&leaf_occ(sK14_skl(X95),X95)))),
% 0.03/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl,sK15_skl,sK16_skl]),skolemize(X98,sK14_skl(X95)),skolemize(X97,sK15_skl(X95)),skolemize(X96,sK16_skl(X95))],[f178])).
% 0.03/0.45 fof(f186,plain,(
% 0.03/0.45 ![X0]: (~occurrence_of(X0,tptp0)|leaf_occ(sK14_skl(X0),X0))),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f179])).
% 0.03/0.45 fof(f198,plain,(
% 0.03/0.45 ~tptp1=tptp2),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f45])).
% 0.03/0.45 fof(f199,plain,(
% 0.03/0.45 (?[X99]: (occurrence_of(X99,tptp0)&(![X100,X101]: ((~leaf_occ(X101,X99)|(occurrence_of(X101,tptp1)&(?[X102]: ((occurrence_of(X102,tptp2)&subactivity_occurrence(X102,X99))&min_precedes(X100,X102,tptp0)))))|(occurrence_of(X101,tptp2)&(?[X103]: ((occurrence_of(X103,tptp1)&subactivity_occurrence(X103,X99))&min_precedes(X100,X103,tptp0))))))))),
% 0.03/0.45 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 0.03/0.45 fof(f200,definition,(
% 0.03/0.45 ![X99,X100,X101]: (sP0_prd(X101,X100,X99)<=>(occurrence_of(X101,tptp1)&(?[X102]: ((occurrence_of(X102,tptp2)&subactivity_occurrence(X102,X99))&min_precedes(X100,X102,tptp0)))))),
% 0.03/0.45 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.03/0.45 fof(f201,plain,(
% 0.03/0.45 ?[X99]: (occurrence_of(X99,tptp0)&(![X100,X101]: ((~leaf_occ(X101,X99)|sP0_prd(X101,X100,X99))|(occurrence_of(X101,tptp2)&(?[X103]: ((occurrence_of(X103,tptp1)&subactivity_occurrence(X103,X99))&min_precedes(X100,X103,tptp0)))))))),
% 0.03/0.45 inference(formula_renaming,[status(thm)],[f199,f200])).
% 0.03/0.45 fof(f202,plain,(
% 0.03/0.45 (occurrence_of(sK17_skl,tptp0)&(![X100,X101]: ((~leaf_occ(X101,sK17_skl)|sP0_prd(X101,X100,sK17_skl))|(occurrence_of(X101,tptp2)&((occurrence_of(sK18_skl(X101,X100),tptp1)&subactivity_occurrence(sK18_skl(X101,X100),sK17_skl))&min_precedes(X100,sK18_skl(X101,X100),tptp0))))))),
% 0.03/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl,sK18_skl]),skolemize(X99,sK17_skl),skolemize(X103,sK18_skl(X101,X100))],[f201])).
% 0.03/0.45 fof(f203,plain,(
% 0.03/0.45 occurrence_of(sK17_skl,tptp0)),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f202])).
% 0.03/0.45 fof(f204,plain,(
% 0.03/0.45 ![X0,X1]: (~leaf_occ(X0,sK17_skl)|sP0_prd(X0,X1,sK17_skl)|occurrence_of(X0,tptp2))),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f202])).
% 0.03/0.45 fof(f207,plain,(
% 0.03/0.45 ![X0,X1]: (~leaf_occ(X0,sK17_skl)|sP0_prd(X0,X1,sK17_skl)|min_precedes(X1,sK18_skl(X0,X1),tptp0))),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f202])).
% 0.03/0.45 fof(f208,plain,(
% 0.03/0.45 ![X99,X100,X101]: ((~sP0_prd(X101,X100,X99)|(occurrence_of(X101,tptp1)&(?[X102]: ((occurrence_of(X102,tptp2)&subactivity_occurrence(X102,X99))&min_precedes(X100,X102,tptp0)))))&(sP0_prd(X101,X100,X99)|(~occurrence_of(X101,tptp1)|(![X102]: ((~occurrence_of(X102,tptp2)|~subactivity_occurrence(X102,X99))|~min_precedes(X100,X102,tptp0))))))),
% 0.03/0.45 inference(NNF_transformation,[status(thm)],[f200])).
% 0.03/0.45 fof(f209,plain,(
% 0.03/0.45 (![X99,X100,X101]: (~sP0_prd(X101,X100,X99)|(occurrence_of(X101,tptp1)&(?[X102]: ((occurrence_of(X102,tptp2)&subactivity_occurrence(X102,X99))&min_precedes(X100,X102,tptp0))))))&(![X99,X100,X101]: (sP0_prd(X101,X100,X99)|(~occurrence_of(X101,tptp1)|(![X102]: ((~occurrence_of(X102,tptp2)|~subactivity_occurrence(X102,X99))|~min_precedes(X100,X102,tptp0))))))),
% 0.03/0.45 inference(miniscoping,[status(thm)],[f208])).
% 0.03/0.45 fof(f210,plain,(
% 0.03/0.45 (![X99,X100,X101]: (~sP0_prd(X101,X100,X99)|(occurrence_of(X101,tptp1)&((occurrence_of(sK19_skl(X101,X100,X99),tptp2)&subactivity_occurrence(sK19_skl(X101,X100,X99),X99))&min_precedes(X100,sK19_skl(X101,X100,X99),tptp0)))))&(![X99,X100,X101]: (sP0_prd(X101,X100,X99)|(~occurrence_of(X101,tptp1)|(![X102]: ((~occurrence_of(X102,tptp2)|~subactivity_occurrence(X102,X99))|~min_precedes(X100,X102,tptp0))))))),
% 0.03/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK19_skl]),skolemize(X102,sK19_skl(X101,X100,X99))],[f209])).
% 0.03/0.45 fof(f211,plain,(
% 0.03/0.45 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|occurrence_of(X0,tptp1))),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f210])).
% 0.03/0.45 fof(f214,plain,(
% 0.03/0.45 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|min_precedes(X1,sK19_skl(X0,X1,X2),tptp0))),
% 0.03/0.45 inference(cnf_transformation,[status(thm)],[f210])).
% 0.03/0.45 fof(f287,plain,(
% 0.03/0.45 leaf_occ(sK14_skl(sK17_skl),sK17_skl)),
% 0.03/0.45 inference(resolution,[status(thm)],[f186,f203])).
% 0.03/0.45 fof(f288,plain,(
% 0.03/0.45 ![X0]: (sP0_prd(sK14_skl(sK17_skl),X0,sK17_skl)|min_precedes(X0,sK18_skl(sK14_skl(sK17_skl),X0),tptp0))),
% 0.03/0.45 inference(resolution,[status(thm)],[f287,f207])).
% 0.03/0.45 fof(f295,plain,(
% 0.03/0.45 ![X0]: (sP0_prd(sK14_skl(sK17_skl),X0,sK17_skl)|occurrence_of(sK14_skl(sK17_skl),tptp2))),
% 0.03/0.45 inference(resolution,[status(thm)],[f287,f204])).
% 0.03/0.45 fof(f298,plain,(
% 0.03/0.45 ![X0,X1]: (~occurrence_of(sK17_skl,X0)|~min_precedes(sK14_skl(sK17_skl),X1,X0))),
% 0.03/0.45 inference(resolution,[status(thm)],[f287,f137])).
% 0.03/0.45 fof(f461,plain,(
% 0.03/0.45 ![X0]: (occurrence_of(sK14_skl(sK17_skl),tptp2)|min_precedes(X0,sK19_skl(sK14_skl(sK17_skl),X0,sK17_skl),tptp0))),
% 0.03/0.45 inference(resolution,[status(thm)],[f295,f214])).
% 0.03/0.45 fof(f561,plain,(
% 0.03/0.45 ~occurrence_of(sK17_skl,tptp0)|sP0_prd(sK14_skl(sK17_skl),sK14_skl(sK17_skl),sK17_skl)),
% 0.03/0.45 inference(resolution,[status(thm)],[f298,f288])).
% 0.03/0.45 fof(f562,plain,(
% 0.03/0.45 sP0_prd(sK14_skl(sK17_skl),sK14_skl(sK17_skl),sK17_skl)),
% 0.03/0.45 inference(forward_subsumption_resolution,[status(thm)],[f561,f203])).
% 0.03/0.45 fof(f710,plain,(
% 0.03/0.45 occurrence_of(sK14_skl(sK17_skl),tptp1)),
% 0.03/0.45 inference(resolution,[status(thm)],[f562,f211])).
% 0.03/0.45 fof(f752,plain,(
% 0.03/0.45 ![X0]: (~occurrence_of(sK14_skl(sK17_skl),X0)|X0=tptp1)),
% 0.03/0.45 inference(resolution,[status(thm)],[f710,f140])).
% 0.03/0.45 fof(f1602,plain,(
% 0.03/0.45 occurrence_of(sK14_skl(sK17_skl),tptp2)|~occurrence_of(sK17_skl,tptp0)),
% 0.03/0.45 inference(resolution,[status(thm)],[f461,f298])).
% 0.03/0.45 fof(f1627,plain,(
% 0.03/0.45 occurrence_of(sK14_skl(sK17_skl),tptp2)),
% 0.03/0.45 inference(forward_subsumption_resolution,[status(thm)],[f1602,f203])).
% 0.03/0.45 fof(f1629,plain,(
% 0.03/0.45 tptp2=tptp1),
% 0.03/0.45 inference(resolution,[status(thm)],[f1627,f752])).
% 0.03/0.45 fof(f1649,plain,(
% 0.03/0.45 $false),
% 0.03/0.45 inference(forward_subsumption_resolution,[status(thm)],[f1629,f198])).
% 0.03/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.03/0.47 % Elapsed time: 0.093224 seconds
% 0.03/0.47 % CPU time: 0.476682 seconds
% 0.03/0.47 % Total memory used: 88.701 MB
% 0.03/0.47 % Net memory used: 88.414 MB
%------------------------------------------------------------------------------