%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PRO010+4 : 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 : n008.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 0.12s 10.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PRO010+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/10.37 % Computer : n008.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Mon Sep 21 03:43:05 UTC 2026
% 0.09/10.37 % CPUTime :
% 0.09/10.38 % Drodi V4.1.1
% 0.12/10.41 % Refutation found
% 0.12/10.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/10.41 % SZS output start CNFRefutation for theBenchmark
% 0.12/10.41 fof(f9,axiom,(
% 0.12/10.41 (! [X28,X29,X30] :( ( occurrence_of(X28,X29)& occurrence_of(X28,X30) )=> X29 = X30 ) )),
% 0.12/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.41 fof(f16,axiom,(
% 0.12/10.41 (! [X47,X48] :( leaf(X47,X48)<=> ( ( root(X47,X48)| (? [X49] : min_precedes(X49,X47,X48) ))& ~ (? [X50] : min_precedes(X47,X50,X48) )) ) )),
% 0.12/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.41 fof(f19,axiom,(
% 0.12/10.41 (! [X55,X56] :( leaf_occ(X55,X56)<=> (? [X57] :( occurrence_of(X56,X57)& subactivity_occurrence(X55,X56)& leaf(X55,X57) ) )) )),
% 0.12/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.41 fof(f33,axiom,(
% 0.12/10.41 (! [X101] :( occurrence_of(X101,tptp0)=> (? [X102,X103,X104] :( occurrence_of(X102,tptp3)& root_occ(X102,X101)& occurrence_of(X103,tptp4)& next_subocc(X102,X103,tptp0)& ( occurrence_of(X104,tptp1)| occurrence_of(X104,tptp2) )& next_subocc(X103,X104,tptp0)& leaf_occ(X104,X101) ) )) )),
% 0.12/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.41 fof(f46,conjecture,(
% 0.12/10.41 (! [X105] :( occurrence_of(X105,tptp0)=> (? [X106,X107] :( leaf_occ(X107,X105)& ( occurrence_of(X107,tptp1)=> ~ (? [X108] :( occurrence_of(X108,tptp2)& min_precedes(X106,X108,tptp0) ) ))& ( occurrence_of(X107,tptp2)=> ~ (? [X109] :( occurrence_of(X109,tptp1)& min_precedes(X106,X109,tptp0) ) )) ) )) )),
% 0.12/10.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/10.41 fof(f47,negated_conjecture,(
% 0.12/10.41 ~((! [X105] :( occurrence_of(X105,tptp0)=> (? [X106,X107] :( leaf_occ(X107,X105)& ( occurrence_of(X107,tptp1)=> ~ (? [X108] :( occurrence_of(X108,tptp2)& min_precedes(X106,X108,tptp0) ) ))& ( occurrence_of(X107,tptp2)=> ~ (? [X109] :( occurrence_of(X109,tptp1)& min_precedes(X106,X109,tptp0) ) )) ) )) ))),
% 0.12/10.41 inference(negated_conjecture,[status(cth)],[f46])).
% 0.12/10.41 fof(f77,plain,(
% 0.12/10.41 ![X28,X29,X30]: ((~occurrence_of(X28,X29)|~occurrence_of(X28,X30))|X29=X30)),
% 0.12/10.41 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.12/10.41 fof(f78,plain,(
% 0.12/10.41 ![X29,X30]: ((![X28]: (~occurrence_of(X28,X29)|~occurrence_of(X28,X30)))|X29=X30)),
% 0.12/10.41 inference(miniscoping,[status(thm)],[f77])).
% 0.12/10.41 fof(f79,plain,(
% 0.12/10.41 ![X0,X1,X2]: (~occurrence_of(X0,X1)|~occurrence_of(X0,X2)|X1=X2)),
% 0.12/10.41 inference(cnf_transformation,[status(thm)],[f78])).
% 0.12/10.41 fof(f102,plain,(
% 0.12/10.41 ![X47,X48]: (leaf(X47,X48)<=>((root(X47,X48)|(?[X49]: min_precedes(X49,X47,X48)))&(![X50]: ~min_precedes(X47,X50,X48))))),
% 0.12/10.41 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.12/10.41 fof(f103,plain,(
% 0.12/10.41 ![X47,X48]: ((~leaf(X47,X48)|((root(X47,X48)|(?[X49]: min_precedes(X49,X47,X48)))&(![X50]: ~min_precedes(X47,X50,X48))))&(leaf(X47,X48)|((~root(X47,X48)&(![X49]: ~min_precedes(X49,X47,X48)))|(?[X50]: min_precedes(X47,X50,X48)))))),
% 0.12/10.41 inference(NNF_transformation,[status(thm)],[f102])).
% 0.12/10.41 fof(f104,plain,(
% 0.12/10.41 (![X47,X48]: (~leaf(X47,X48)|((root(X47,X48)|(?[X49]: min_precedes(X49,X47,X48)))&(![X50]: ~min_precedes(X47,X50,X48)))))&(![X47,X48]: (leaf(X47,X48)|((~root(X47,X48)&(![X49]: ~min_precedes(X49,X47,X48)))|(?[X50]: min_precedes(X47,X50,X48)))))),
% 0.12/10.41 inference(miniscoping,[status(thm)],[f103])).
% 0.12/10.41 fof(f105,plain,(
% 0.12/10.41 (![X47,X48]: (~leaf(X47,X48)|((root(X47,X48)|min_precedes(sK6_skl(X48,X47),X47,X48))&(![X50]: ~min_precedes(X47,X50,X48)))))&(![X47,X48]: (leaf(X47,X48)|((~root(X47,X48)&(![X49]: ~min_precedes(X49,X47,X48)))|min_precedes(X47,sK7_skl(X48,X47),X48))))),
% 0.12/10.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl,sK7_skl]),skolemize(X49,sK6_skl(X48,X47)),skolemize(X50,sK7_skl(X48,X47))],[f104])).
% 0.12/10.41 fof(f107,plain,(
% 0.12/10.41 ![X0,X1,X2]: (~leaf(X0,X1)|~min_precedes(X0,X2,X1))),
% 0.12/10.41 inference(cnf_transformation,[status(thm)],[f105])).
% 0.12/10.41 fof(f117,plain,(
% 0.12/10.41 ![X55,X56]: ((~leaf_occ(X55,X56)|(?[X57]: ((occurrence_of(X56,X57)&subactivity_occurrence(X55,X56))&leaf(X55,X57))))&(leaf_occ(X55,X56)|(![X57]: ((~occurrence_of(X56,X57)|~subactivity_occurrence(X55,X56))|~leaf(X55,X57)))))),
% 0.12/10.41 inference(NNF_transformation,[status(thm)],[f19])).
% 0.12/10.41 fof(f118,plain,(
% 0.12/10.41 (![X55,X56]: (~leaf_occ(X55,X56)|(?[X57]: ((occurrence_of(X56,X57)&subactivity_occurrence(X55,X56))&leaf(X55,X57)))))&(![X55,X56]: (leaf_occ(X55,X56)|(![X57]: ((~occurrence_of(X56,X57)|~subactivity_occurrence(X55,X56))|~leaf(X55,X57)))))),
% 0.12/10.41 inference(miniscoping,[status(thm)],[f117])).
% 0.12/10.41 fof(f119,plain,(
% 0.12/10.41 (![X55,X56]: (~leaf_occ(X55,X56)|((occurrence_of(X56,sK8_skl(X56,X55))&subactivity_occurrence(X55,X56))&leaf(X55,sK8_skl(X56,X55)))))&(![X55,X56]: (leaf_occ(X55,X56)|(![X57]: ((~occurrence_of(X56,X57)|~subactivity_occurrence(X55,X56))|~leaf(X55,X57)))))),
% 0.12/10.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(X57,sK8_skl(X56,X55))],[f118])).
% 0.12/10.41 fof(f120,plain,(
% 0.12/10.41 ![X0,X1]: (~leaf_occ(X0,X1)|occurrence_of(X1,sK8_skl(X1,X0)))),
% 0.12/10.41 inference(cnf_transformation,[status(thm)],[f119])).
% 0.12/10.41 fof(f122,plain,(
% 0.12/10.41 ![X0,X1]: (~leaf_occ(X0,X1)|leaf(X0,sK8_skl(X1,X0)))),
% 0.12/10.41 inference(cnf_transformation,[status(thm)],[f119])).
% 0.12/10.41 fof(f176,plain,(
% 0.12/10.41 ![X101]: (~occurrence_of(X101,tptp0)|(?[X102,X103,X104]: ((((((occurrence_of(X102,tptp3)&root_occ(X102,X101))&occurrence_of(X103,tptp4))&next_subocc(X102,X103,tptp0))&(occurrence_of(X104,tptp1)|occurrence_of(X104,tptp2)))&next_subocc(X103,X104,tptp0))&leaf_occ(X104,X101))))),
% 0.12/10.41 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.12/10.41 fof(f177,plain,(
% 0.12/10.41 ![X101]: (~occurrence_of(X101,tptp0)|(?[X104]: ((?[X103]: (((?[X102]: (((occurrence_of(X102,tptp3)&root_occ(X102,X101))&occurrence_of(X103,tptp4))&next_subocc(X102,X103,tptp0)))&(occurrence_of(X104,tptp1)|occurrence_of(X104,tptp2)))&next_subocc(X103,X104,tptp0)))&leaf_occ(X104,X101))))),
% 0.12/10.41 inference(miniscoping,[status(thm)],[f176])).
% 0.12/10.41 fof(f178,plain,(
% 0.12/10.41 ![X101]: (~occurrence_of(X101,tptp0)|((((((occurrence_of(sK14_skl(X101),tptp3)&root_occ(sK14_skl(X101),X101))&occurrence_of(sK13_skl(X101),tptp4))&next_subocc(sK14_skl(X101),sK13_skl(X101),tptp0))&(occurrence_of(sK12_skl(X101),tptp1)|occurrence_of(sK12_skl(X101),tptp2)))&next_subocc(sK13_skl(X101),sK12_skl(X101),tptp0))&leaf_occ(sK12_skl(X101),X101)))),
% 0.12/10.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl,sK14_skl]),skolemize(X104,sK12_skl(X101)),skolemize(X103,sK13_skl(X101)),skolemize(X102,sK14_skl(X101))],[f177])).
% 0.12/10.41 fof(f185,plain,(
% 0.12/10.41 ![X0]: (~occurrence_of(X0,tptp0)|leaf_occ(sK12_skl(X0),X0))),
% 0.12/10.41 inference(cnf_transformation,[status(thm)],[f178])).
% 0.12/10.41 fof(f198,plain,(
% 0.12/10.41 (?[X105]: (occurrence_of(X105,tptp0)&(![X106,X107]: ((~leaf_occ(X107,X105)|(occurrence_of(X107,tptp1)&(?[X108]: (occurrence_of(X108,tptp2)&min_precedes(X106,X108,tptp0)))))|(occurrence_of(X107,tptp2)&(?[X109]: (occurrence_of(X109,tptp1)&min_precedes(X106,X109,tptp0))))))))),
% 0.12/10.41 inference(pre_NNF_transformation,[status(thm)],[f47])).
% 0.12/10.41 fof(f199,definition,(
% 0.12/10.41 ![X106,X107]: (sP0_prd(X107,X106)<=>(occurrence_of(X107,tptp1)&(?[X108]: (occurrence_of(X108,tptp2)&min_precedes(X106,X108,tptp0)))))),
% 0.12/10.41 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.12/10.41 fof(f200,plain,(
% 0.12/10.41 ?[X105]: (occurrence_of(X105,tptp0)&(![X106,X107]: ((~leaf_occ(X107,X105)|sP0_prd(X107,X106))|(occurrence_of(X107,tptp2)&(?[X109]: (occurrence_of(X109,tptp1)&min_precedes(X106,X109,tptp0)))))))),
% 0.12/10.41 inference(formula_renaming,[status(thm)],[f198,f199])).
% 0.12/10.41 fof(f201,plain,(
% 0.12/10.41 (occurrence_of(sK15_skl,tptp0)&(![X106,X107]: ((~leaf_occ(X107,sK15_skl)|sP0_prd(X107,X106))|(occurrence_of(X107,tptp2)&(occurrence_of(sK16_skl(X107,X106),tptp1)&min_precedes(X106,sK16_skl(X107,X106),tptp0))))))),
% 0.12/10.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl,sK16_skl]),skolemize(X105,sK15_skl),skolemize(X109,sK16_skl(X107,X106))],[f200])).
% 0.12/10.41 fof(f202,plain,(
% 0.12/10.41 occurrence_of(sK15_skl,tptp0)),
% 0.12/10.41 inference(cnf_transformation,[status(thm)],[f201])).
% 0.12/10.41 fof(f205,plain,(
% 0.12/10.41 ![X0,X1]: (~leaf_occ(X0,sK15_skl)|sP0_prd(X0,X1)|min_precedes(X1,sK16_skl(X0,X1),tptp0))),
% 0.12/10.41 inference(cnf_transformation,[status(thm)],[f201])).
% 0.12/10.41 fof(f206,plain,(
% 0.12/10.41 ![X106,X107]: ((~sP0_prd(X107,X106)|(occurrence_of(X107,tptp1)&(?[X108]: (occurrence_of(X108,tptp2)&min_precedes(X106,X108,tptp0)))))&(sP0_prd(X107,X106)|(~occurrence_of(X107,tptp1)|(![X108]: (~occurrence_of(X108,tptp2)|~min_precedes(X106,X108,tptp0))))))),
% 0.12/10.41 inference(NNF_transformation,[status(thm)],[f199])).
% 0.12/10.41 fof(f207,plain,(
% 0.12/10.41 (![X106,X107]: (~sP0_prd(X107,X106)|(occurrence_of(X107,tptp1)&(?[X108]: (occurrence_of(X108,tptp2)&min_precedes(X106,X108,tptp0))))))&(![X106,X107]: (sP0_prd(X107,X106)|(~occurrence_of(X107,tptp1)|(![X108]: (~occurrence_of(X108,tptp2)|~min_precedes(X106,X108,tptp0))))))),
% 0.12/10.41 inference(miniscoping,[status(thm)],[f206])).
% 0.12/10.41 fof(f208,plain,(
% 0.12/10.41 (![X106,X107]: (~sP0_prd(X107,X106)|(occurrence_of(X107,tptp1)&(occurrence_of(sK17_skl(X107,X106),tptp2)&min_precedes(X106,sK17_skl(X107,X106),tptp0)))))&(![X106,X107]: (sP0_prd(X107,X106)|(~occurrence_of(X107,tptp1)|(![X108]: (~occurrence_of(X108,tptp2)|~min_precedes(X106,X108,tptp0))))))),
% 0.12/10.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl]),skolemize(X108,sK17_skl(X107,X106))],[f207])).
% 0.12/10.41 fof(f211,plain,(
% 0.12/10.41 ![X0,X1]: (~sP0_prd(X0,X1)|min_precedes(X1,sK17_skl(X0,X1),tptp0))),
% 0.12/10.41 inference(cnf_transformation,[status(thm)],[f208])).
% 0.12/10.41 fof(f214,plain,(
% 0.12/10.41 ![X0]: (~occurrence_of(sK15_skl,X0)|X0=tptp0)),
% 0.12/10.41 inference(resolution,[status(thm)],[f79,f202])).
% 0.12/10.41 fof(f260,plain,(
% 0.12/10.41 leaf_occ(sK12_skl(sK15_skl),sK15_skl)),
% 0.12/10.41 inference(resolution,[status(thm)],[f185,f202])).
% 0.12/10.41 fof(f262,plain,(
% 0.12/10.41 ![X0]: (sP0_prd(sK12_skl(sK15_skl),X0)|min_precedes(X0,sK16_skl(sK12_skl(sK15_skl),X0),tptp0))),
% 0.12/10.41 inference(resolution,[status(thm)],[f260,f205])).
% 0.12/10.41 fof(f265,plain,(
% 0.12/10.41 leaf(sK12_skl(sK15_skl),sK8_skl(sK15_skl,sK12_skl(sK15_skl)))),
% 0.12/10.41 inference(resolution,[status(thm)],[f260,f122])).
% 0.12/10.41 fof(f266,plain,(
% 0.12/10.41 occurrence_of(sK15_skl,sK8_skl(sK15_skl,sK12_skl(sK15_skl)))),
% 0.12/10.41 inference(resolution,[status(thm)],[f260,f120])).
% 0.12/10.41 fof(f343,plain,(
% 0.12/10.41 sK8_skl(sK15_skl,sK12_skl(sK15_skl))=tptp0),
% 0.12/10.41 inference(resolution,[status(thm)],[f266,f214])).
% 0.12/10.41 fof(f349,plain,(
% 0.12/10.41 leaf(sK12_skl(sK15_skl),tptp0)),
% 0.12/10.41 inference(backward_demodulation,[status(thm)],[f343,f265])).
% 0.12/10.41 fof(f356,plain,(
% 0.12/10.41 ![X0]: (~min_precedes(sK12_skl(sK15_skl),X0,tptp0))),
% 0.12/10.41 inference(resolution,[status(thm)],[f349,f107])).
% 0.12/10.41 fof(f359,plain,(
% 0.12/10.41 sP0_prd(sK12_skl(sK15_skl),sK12_skl(sK15_skl))),
% 0.12/10.41 inference(resolution,[status(thm)],[f356,f262])).
% 0.12/10.41 fof(f360,plain,(
% 0.12/10.41 ![X0]: (~sP0_prd(X0,sK12_skl(sK15_skl)))),
% 0.12/10.41 inference(resolution,[status(thm)],[f356,f211])).
% 0.12/10.41 fof(f362,plain,(
% 0.12/10.41 $false),
% 0.12/10.41 inference(backward_subsumption_resolution,[status(thm)],[f359,f360])).
% 0.12/10.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/10.43 % Elapsed time: 0.051453 seconds
% 0.12/10.43 % CPU time: 0.174964 seconds
% 0.12/10.43 % Total memory used: 76.368 MB
% 0.12/10.43 % Net memory used: 76.275 MB
%------------------------------------------------------------------------------