%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PRO012+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 : n006.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 0.14s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO012+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
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 03:42:12 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.42 % Refutation found
% 0.14/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.42 fof(f1,axiom,(
% 0.14/0.42 (! [X0,X1,X2,X3] :( ( min_precedes(X0,X1,X3)& min_precedes(X1,X2,X3) )=> min_precedes(X0,X2,X3) ) )),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f33,axiom,(
% 0.14/0.42 (! [X95] :( occurrence_of(X95,tptp0)=> (? [X96,X97,X98] :( occurrence_of(X96,tptp3)& root_occ(X96,X95)& occurrence_of(X97,tptp4)& min_precedes(X96,X97,tptp0)& ( occurrence_of(X98,tptp2)| occurrence_of(X98,tptp1) )& min_precedes(X97,X98,tptp0)& (! [X99] :( min_precedes(X96,X99,tptp0)=> ( X99 = X97| X99 = X98 ) ) )) )) )),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f46,conjecture,(
% 0.14/0.42 (! [X100] :( occurrence_of(X100,tptp0)=> (? [X101,X102] :( occurrence_of(X101,tptp3)& root_occ(X101,X100)& ( occurrence_of(X102,tptp2)| occurrence_of(X102,tptp1) )& min_precedes(X101,X102,tptp0) ) )) )),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f47,negated_conjecture,(
% 0.14/0.42 ~((! [X100] :( occurrence_of(X100,tptp0)=> (? [X101,X102] :( occurrence_of(X101,tptp3)& root_occ(X101,X100)& ( occurrence_of(X102,tptp2)| occurrence_of(X102,tptp1) )& min_precedes(X101,X102,tptp0) ) )) ))),
% 0.14/0.42 inference(negated_conjecture,[status(cth)],[f46])).
% 0.14/0.42 fof(f48,plain,(
% 0.14/0.42 ![X0,X1,X2,X3]: ((~min_precedes(X0,X1,X3)|~min_precedes(X1,X2,X3))|min_precedes(X0,X2,X3))),
% 0.14/0.42 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.14/0.42 fof(f49,plain,(
% 0.14/0.42 ![X0,X2,X3]: ((![X1]: (~min_precedes(X0,X1,X3)|~min_precedes(X1,X2,X3)))|min_precedes(X0,X2,X3))),
% 0.14/0.42 inference(miniscoping,[status(thm)],[f48])).
% 0.14/0.42 fof(f50,plain,(
% 0.14/0.42 ![X0,X1,X2,X3]: (~min_precedes(X0,X1,X2)|~min_precedes(X1,X3,X2)|min_precedes(X0,X3,X2))),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f49])).
% 0.14/0.42 fof(f177,plain,(
% 0.14/0.42 ![X95]: (~occurrence_of(X95,tptp0)|(?[X96,X97,X98]: ((((((occurrence_of(X96,tptp3)&root_occ(X96,X95))&occurrence_of(X97,tptp4))&min_precedes(X96,X97,tptp0))&(occurrence_of(X98,tptp2)|occurrence_of(X98,tptp1)))&min_precedes(X97,X98,tptp0))&(![X99]: (~min_precedes(X96,X99,tptp0)|(X99=X97|X99=X98))))))),
% 0.14/0.42 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.14/0.42 fof(f178,plain,(
% 0.14/0.42 ![X95]: (~occurrence_of(X95,tptp0)|((((((occurrence_of(sK14_skl(X95),tptp3)&root_occ(sK14_skl(X95),X95))&occurrence_of(sK15_skl(X95),tptp4))&min_precedes(sK14_skl(X95),sK15_skl(X95),tptp0))&(occurrence_of(sK16_skl(X95),tptp2)|occurrence_of(sK16_skl(X95),tptp1)))&min_precedes(sK15_skl(X95),sK16_skl(X95),tptp0))&(![X99]: (~min_precedes(sK14_skl(X95),X99,tptp0)|(X99=sK15_skl(X95)|X99=sK16_skl(X95))))))),
% 0.14/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl,sK15_skl,sK16_skl]),skolemize(X96,sK14_skl(X95)),skolemize(X97,sK15_skl(X95)),skolemize(X98,sK16_skl(X95))],[f177])).
% 0.14/0.42 fof(f179,plain,(
% 0.14/0.42 ![X0]: (~occurrence_of(X0,tptp0)|occurrence_of(sK14_skl(X0),tptp3))),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f178])).
% 0.14/0.42 fof(f180,plain,(
% 0.14/0.42 ![X0]: (~occurrence_of(X0,tptp0)|root_occ(sK14_skl(X0),X0))),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f178])).
% 0.14/0.42 fof(f182,plain,(
% 0.14/0.42 ![X0]: (~occurrence_of(X0,tptp0)|min_precedes(sK14_skl(X0),sK15_skl(X0),tptp0))),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f178])).
% 0.14/0.42 fof(f183,plain,(
% 0.14/0.42 ![X0]: (~occurrence_of(X0,tptp0)|occurrence_of(sK16_skl(X0),tptp2)|occurrence_of(sK16_skl(X0),tptp1))),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f178])).
% 0.14/0.42 fof(f184,plain,(
% 0.14/0.42 ![X0]: (~occurrence_of(X0,tptp0)|min_precedes(sK15_skl(X0),sK16_skl(X0),tptp0))),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f178])).
% 0.14/0.42 fof(f198,plain,(
% 0.14/0.42 (?[X100]: (occurrence_of(X100,tptp0)&(![X101,X102]: (((~occurrence_of(X101,tptp3)|~root_occ(X101,X100))|(~occurrence_of(X102,tptp2)&~occurrence_of(X102,tptp1)))|~min_precedes(X101,X102,tptp0)))))),
% 0.14/0.42 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 0.14/0.42 fof(f199,plain,(
% 0.14/0.42 (occurrence_of(sK17_skl,tptp0)&(![X101,X102]: (((~occurrence_of(X101,tptp3)|~root_occ(X101,sK17_skl))|(~occurrence_of(X102,tptp2)&~occurrence_of(X102,tptp1)))|~min_precedes(X101,X102,tptp0))))),
% 0.14/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl]),skolemize(X100,sK17_skl)],[f198])).
% 0.14/0.45 fof(f200,plain,(
% 0.14/0.45 occurrence_of(sK17_skl,tptp0)),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f199])).
% 0.14/0.45 fof(f201,plain,(
% 0.14/0.45 ![X0,X1]: (~occurrence_of(X0,tptp3)|~root_occ(X0,sK17_skl)|~occurrence_of(X1,tptp2)|~min_precedes(X0,X1,tptp0))),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f199])).
% 0.14/0.45 fof(f202,plain,(
% 0.14/0.45 ![X0,X1]: (~occurrence_of(X0,tptp3)|~root_occ(X0,sK17_skl)|~occurrence_of(X1,tptp1)|~min_precedes(X0,X1,tptp0))),
% 0.14/0.45 inference(cnf_transformation,[status(thm)],[f199])).
% 0.14/0.45 fof(f234,plain,(
% 0.14/0.45 root_occ(sK14_skl(sK17_skl),sK17_skl)),
% 0.14/0.45 inference(resolution,[status(thm)],[f180,f200])).
% 0.14/0.45 fof(f276,plain,(
% 0.14/0.45 occurrence_of(sK14_skl(sK17_skl),tptp3)),
% 0.14/0.45 inference(resolution,[status(thm)],[f179,f200])).
% 0.14/0.45 fof(f453,plain,(
% 0.14/0.45 min_precedes(sK14_skl(sK17_skl),sK15_skl(sK17_skl),tptp0)),
% 0.14/0.45 inference(resolution,[status(thm)],[f182,f200])).
% 0.14/0.45 fof(f476,plain,(
% 0.14/0.45 occurrence_of(sK16_skl(sK17_skl),tptp2)|occurrence_of(sK16_skl(sK17_skl),tptp1)),
% 0.14/0.45 inference(resolution,[status(thm)],[f183,f200])).
% 0.14/0.45 fof(f477,plain,(
% 0.14/0.45 min_precedes(sK15_skl(sK17_skl),sK16_skl(sK17_skl),tptp0)),
% 0.14/0.45 inference(resolution,[status(thm)],[f184,f200])).
% 0.14/0.45 fof(f529,plain,(
% 0.14/0.45 ![X0]: (~min_precedes(X0,sK15_skl(sK17_skl),tptp0)|min_precedes(X0,sK16_skl(sK17_skl),tptp0))),
% 0.14/0.45 inference(resolution,[status(thm)],[f477,f50])).
% 0.14/0.45 fof(f872,plain,(
% 0.14/0.45 min_precedes(sK14_skl(sK17_skl),sK16_skl(sK17_skl),tptp0)),
% 0.14/0.45 inference(resolution,[status(thm)],[f529,f453])).
% 0.14/0.45 fof(f874,plain,(
% 0.14/0.45 ~occurrence_of(sK14_skl(sK17_skl),tptp3)|~root_occ(sK14_skl(sK17_skl),sK17_skl)|~occurrence_of(sK16_skl(sK17_skl),tptp1)),
% 0.14/0.45 inference(resolution,[status(thm)],[f872,f202])).
% 0.14/0.45 fof(f875,plain,(
% 0.14/0.45 ~occurrence_of(sK14_skl(sK17_skl),tptp3)|~root_occ(sK14_skl(sK17_skl),sK17_skl)|~occurrence_of(sK16_skl(sK17_skl),tptp2)),
% 0.14/0.45 inference(resolution,[status(thm)],[f872,f201])).
% 0.14/0.45 fof(f894,plain,(
% 0.14/0.45 ~root_occ(sK14_skl(sK17_skl),sK17_skl)|~occurrence_of(sK16_skl(sK17_skl),tptp1)),
% 0.14/0.45 inference(forward_subsumption_resolution,[status(thm)],[f874,f276])).
% 0.14/0.45 fof(f895,plain,(
% 0.14/0.45 ~root_occ(sK14_skl(sK17_skl),sK17_skl)|~occurrence_of(sK16_skl(sK17_skl),tptp2)),
% 0.14/0.45 inference(forward_subsumption_resolution,[status(thm)],[f875,f276])).
% 0.14/0.45 fof(f903,plain,(
% 0.14/0.45 occurrence_of(sK16_skl(sK17_skl),tptp2)),
% 0.14/0.45 inference(backward_subsumption_resolution,[status(thm)],[f476,f906])).
% 0.14/0.45 fof(f906,plain,(
% 0.14/0.45 ~occurrence_of(sK16_skl(sK17_skl),tptp1)),
% 0.14/0.45 inference(forward_subsumption_resolution,[status(thm)],[f894,f234])).
% 0.14/0.45 fof(f1020,plain,(
% 0.14/0.45 ~occurrence_of(sK16_skl(sK17_skl),tptp2)),
% 0.14/0.45 inference(forward_subsumption_resolution,[status(thm)],[f895,f234])).
% 0.14/0.45 fof(f1021,plain,(
% 0.14/0.45 $false),
% 0.14/0.45 inference(backward_subsumption_resolution,[status(thm)],[f903,f1020])).
% 0.14/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.45 % Elapsed time: 0.080077 seconds
% 0.14/0.45 % CPU time: 0.394888 seconds
% 0.14/0.45 % Total memory used: 86.484 MB
% 0.14/0.45 % Net memory used: 86.194 MB
%------------------------------------------------------------------------------